χ2 values of P for all σ values and the 8 most occuring values of θ2:

θ2=0.000 θ2=0.464 θ2=0.785 θ2=1.107 θ2=1.571 θ2=2.034 θ2=2.356 θ2=2.678
σ=1 667.17 177.88 2063.83 166.83 321.36 141.25 2051.45 157.31
σ=2 309.70 126.07 670.77 105.02 162.62 112.74 657.30 115.90
σ=3 170.18 125.16 455.59 124.99 101.75 123.38 382.69 116.03
σ=4 106.40 108.16 476.94 93.09 73.82 92.76 465.55 116.56
σ=5 79.20 86.79 521.75 57.49 60.19 59.49 549.10 102.24
σ=6 65.15 64.17 490.16 33.70 50.72 35.21 503.69 78.63
σ=7 54.00 45.57 394.72 20.73 41.62 21.76 378.95 54.75
σ=8 43.89 31.92 277.88 13.49 32.88 14.37 247.53 35.99
σ=9 35.02 23.14 180.06 9.62 25.59 10.24 149.55 23.99
σ=10 27.54 17.45 110.65 7.09 19.50 7.69 85.80 16.64
σ=11 21.50 13.56 69.57 5.30 14.71 5.92 51.05 12.16
σ=12 16.71 10.59 45.95 4.06 11.13 4.63 32.55 9.22
σ=13 12.91 8.23 32.28 3.18 8.45 3.69 22.91 7.18
σ=14 10.05 6.31 24.16 2.50 6.54 2.93 17.54 5.61
σ=15 7.83 4.79 18.67 2.00 5.15 2.36 13.98 4.39