... passes

We do not consider here two additional pointings performed separately in AO-6.

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...-1

We verified that adopting a luminosity cut at L_0.5-10>10^41.5 erg s^-1produces similar results as adopting a redshift cut at z=0.2.

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...$\pi_{\rm max}\ga 40~h^{-1}$ Mpc

Since $A(\gamma)$varies only by $\sim$$16\%$ in the range of the measured slopes, Band C show almost exactly the same behaviour with $\pi _{\rm max}$.

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... field

Another $\sim$25 X-ray selected objects belonging to this structure are found using photometric redshifts (see Fig. 3 and Salvato et al. 2009).

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... disappears

We note that, because of this excess due to the $z\sim 0.36$ structure, a simple power law is a very poor fit to the $w(r_{\rm p})$ of our full reference sample and of the z<1 AGN subsample (see Sect. 5.3 and Table 1). In contrast, a simple power law provides statistically acceptable fits for all the other subsamples analyzed in this work.

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... bands

Upper (lower) limits to the hardness ratio for objects that are not detected in the soft (hard) band have been computed assigning 40 counts in the non-detection band to each source. The distribution of the counts of the detected sources indeed shows a turnover at this value, which therefore appears as the average count threshold for source detection.

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... simulation

See http://www.mpa-garching.mpg.de/millennium.

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...2007)

Only small differences arise if we assume $\sigma_8=0.9$ as in the Millennium simulation. The other relevant cosmological parameters assumed in this work are the same as in the Millennium simulation.

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... effects

an X-ray photon index of $\Gamma=1.9$ is assumed.

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