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=2 3.105E+02 1.249E+02 6.581E+02 1.033E+02 1.633E+02 1.106E+02 6.440E+02 1.149E+02
σ=3 1.705E+02 1.243E+02 4.498E+02 1.233E+02 1.020E+02 1.215E+02 3.775E+02 1.153E+02
σ=4 1.065E+02 1.076E+02 4.720E+02 9.216E+01 7.386E+01 9.174E+01 4.601E+02 1.159E+02
σ=5 7.922E+01 8.643E+01 5.168E+02 5.713E+01 6.016E+01 5.907E+01 5.431E+02 1.018E+02
σ=6 6.515E+01 6.397E+01 4.859E+02 3.357E+01 5.068E+01 3.506E+01 4.988E+02 7.836E+01
σ=7 5.399E+01 4.546E+01 3.917E+02 2.067E+01 4.157E+01 2.169E+01 3.758E+02 5.460E+01
σ=8 4.387E+01 3.186E+01 2.761E+02 1.344E+01 3.283E+01 1.430E+01 2.458E+02 3.592E+01
σ=9 3.500E+01 2.310E+01 1.791E+02 9.575E+00 2.555E+01 1.018E+01 1.487E+02 2.395E+01
σ=10 2.752E+01 1.742E+01 1.102E+02 7.053E+00 1.945E+01 7.631E+00 8.544E+01 1.661E+01
σ=11 2.149E+01 1.353E+01 6.933E+01 5.268E+00 1.467E+01 5.871E+00 5.087E+01 1.214E+01
σ=12 1.670E+01 1.057E+01 4.580E+01 4.031E+00 1.109E+01 4.595E+00 3.244E+01 9.203E+00
σ=13 1.290E+01 8.216E+00 3.216E+01 3.165E+00 8.413E+00 3.663E+00 2.281E+01 7.166E+00
σ=14 1.004E+01 6.295E+00 2.407E+01 2.484E+00 6.510E+00 2.913E+00 1.745E+01 5.601E+00
σ=15 7.824E+00 4.778E+00 1.860E+01 1.986E+00 5.113E+00 2.353E+00 1.390E+01 4.381E+00