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Table 3
Mean mass and bias for halos binned by mass (top) and ambient density (bottom), for the ΛCDM simulation.
| Halo mass bins, { Mj } | |||||
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| Bin edges in Mhalo [h-1 M⊙] | [5 × 1011,1012) | [1012,2.2 × 1012) | [2.2 × 1012,5 × 1012) | [5 × 1012,1013) | [1013,∞) |
| N halos | 2.9 × 104 | 2.7 × 104 | 1.7 × 104 | 7.9 × 103 | 7.4 × 103 |
| ⟨ Mhalo ⟩ [h-1 M⊙] | 7.1 × 1011 | 1.4 × 1012 | 3.2 × 1012 | 6.8 × 1012 | 2.3 × 1013 |
| ⟨ b ⟩ halo | 0.93 | 0.99 | 1.10 | 1.23 | 1.65 |
| Ambient density bins, { δj } | ||||||
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| Bin edges in δ | [−1.00,−0.70) | [−0.70,−0.35) | [−0.35,0.27) | [0.27,1.99) | [1.99,10.00) | [10.00,∞) |
| N halos | 2.7 × 104 | 1.3 × 104 | 1.1 × 104 | 1.2 × 104 | 1.2 × 104 | 1.3 × 104 |
| ⟨ Mhalo ⟩ [h-1 M⊙] | 9.6 × 1011 | 1.3 × 1012 | 1.6 × 1012 | 2.1 × 1012 | 2.9 × 1012 | 6.1 × 1012 |
| ⟨ b ⟩ halo | 0.97 | 1.01 | 1.04 | 1.08 | 1.14 | 1.30 |
Notes. The high level of shot noise prevents a reliable measurement of bias from clustering in the simulation, therefore we estimated it by averaging over the halo model bias, b(Mi), for the halos in each bin j, i.e., 
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