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Table 2

Grid cell statistics for the resolutions used.

Resolution Low Medium High

s 35 50 60
θ cells 37 53 63
φ cells 113 161 193
r cells 69 98 118
Cells per grid 288 489 836 234 1 392 768
Total cells 576 978 1 672 468 2 785 536
Interpolation points 62 928 120 736 171 808
Δθ 5.58 ×10-2 3.86 ×10-2 3.24 ×10-2
Minimum Δφ at r = 2M 6.01 ×10-2 4.21 ×10-2 3.50 ×10-2
Maximum Δφ at r = 2M 1.12 ×10-1 7.84 ×10-2 6.56 ×10-2
Minimum Δr 5.87 ×10-2 4.08 ×10-2 3.37 ×10-2
Maximum Δr 2.77 1.96 1.63

Notes. Points removed by the overlapping grid routines are still included in these counts. These statistics are given for the case when a = 0. In this case, the inner grid radius is 1.4M, and the outer grid radius is 50M. For spins a ≠ 0, the inner radius changes as in Table 1, thereby changing the radial spacing, but the numbers of cells in all dimensions and the angular resolutions remain fixed.

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