Table 2: Parameter values of the fit of the luminosity function.
Model $\alpha _1$ $\alpha _2$ $\alpha _3$ $\beta$ ${{\rm log} ~ L_{15}^*}$ a kL $z_{\rm cut}$ ${{\rm log ~\Phi^{*}}}$ b ${\rm CIRB}~(\%)^{c}$ $P_{\rm 2DKS}$
(I) (II) (III) (IV) (V) (VI) (VII) (VIII) (IX) (X) (XI)
Type-1 AGN
A 0.00 ( fixed) 0.00 ( fixed) $\rm 1.08_{-0.11}^{+0.09}$ $\rm 2.29_{-0.16}^{+0.36}$ $\rm 44.45_{-0.08}^{+0.08}$ $\rm {2.78}_{-0.18}^{+0.23}$ 2.00 $-5.78\mathbf{\pm {\rm0.03}}$ $12.1{^{+7.7}_{-2.5}} ~({{\rm 4.5}^{+2.9}_{-1.0}})$ 0.11
B $\rm0.69_{-0.08}^{+0.07}$ $\rm 5.92_{-0.12}^{+0.17}$ $\rm0.64_{-0.11}^{+0.07}$ $\rm 2.76_{-0.26}^{+0.21}$ $\rm 44.78_{-0.06}^{+0.07}$ $\rm {2.87}_{-0.15}^{+0.27}$ 2.00 $-6.26\mathbf{\pm{\rm0.03}}$ $\rm 4.2{^{+1.1}_{-1.0}} ~({{\rm 1.6}^{+0.3}_{-0.4}})$ 0.35

Type-2 AGN (NGC 1068 SED)
C 0.00 ( fixed) 0.00 ( fixed) $\rm0.78_{-0.15}^{+0.10}$ $\rm 2.67_{-0.35}^{+0.41}$ $4\rm 4.15_{-0.21}^{+0.20}$ $\rm {1.79}_{-0.57}^{+0.33}$ ... $-4.77\mathbf{\pm {\rm0.03}}$ $9.2{^{+6.1}_{-3.3}} ~({{\rm 3.4}^{+1.2}_{-1.6}})$ 0.18
D $\rm0.90_{-0.14}^{+0.12}$ 6.00 ** 0.00 ** $\rm 2.66_{-0.25}^{+0.29}$ $\rm 44.11_{-0.16}^{+0.17}$ $\rm {2.04}_{-0.60}^{+0.70}$ ... $-4.69\mathbf{\pm{\rm0.03}}$ $5.5{^{+2.6}_{-1.5}} ~({{\rm 2.0}^{+1.0}_{-0.8}})$ 0.33

Type-2 AGN (Circinus SED)
E 0.00 ( fixed) 0.00 ( fixed) $\rm0.76_{-0.14}^{+0.13}$ $\rm 2.73_{-0.33}^{+0.42}$ $\rm 44.15_{-0.20}^{+0.24}$ $\rm {2.50}_{-0.50}^{+0.55}$ ... $-4.75\mathbf{\pm{\rm0.03}}$ $14.6{^{+8.4}_{-5.1}} ({{\rm 5.4}^{+3.1}_{-1.9}})$ 0.16
F $\rm0.87_{-0.14}^{+0.12}$ 6.00 ** 0.00 ** $\rm 2.68_{-0.24}^{+0.26}$ $4\rm 4.10_{-0.12}^{+0.13}$ $\rm {2.55}_{-0.54}^{+0.52}$ ... $-4.66\mathbf{\pm{\rm0.03}}$ $7.7\mathbf{^{+3.0}_{-2.1}} ({{\rm 2.9}^{+1.1}_{-0.8}})$ 0.49
a L15* corresponds to $\nu L_\nu$ at 15$~\mu$m and is given in ${\rm erg ~s}^{-1}$. b The normalisation, ${{\rm log ~\Phi^{*}}}$, is given in ${\rm Mpc}^{-3}~{\rm mag}^{-1}$. c Contribution $ \nu I_{\nu}$ to the CIRB at 15$~\mu$m in units of $10^{-11} ~{\rm W~ m^{-2}~ sr^{-1}}$. In parenthesis we report the % of the CIRB produced by the fit given a CIRB value of 2.7 nW m-2 sr-1.
** The values of these parameters reached the physical limit imposed in our minimisation process. These constraints were imposed to the models in order to not produce unphysical solutions at high redshift due to the low statistics. Therefore, no errors are reported for these parameters.


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