|sin(beta)|     alpha*     delta     pi     mu-alpha*     mu-delta
0.025           1.026     0.756    1.180     0.725        0.542
0.075           1.021     0.757    1.180     0.722        0.542
0.125           1.002     0.751    1.169     0.710        0.537
0.175           0.993     0.752    1.167     0.703        0.539
0.225           0.973     0.751    1.158     0.689        0.538
0.275           0.952     0.742    1.143     0.673        0.533
0.325           0.934     0.740    1.136     0.662        0.533
0.375           0.901     0.730    1.146     0.640        0.525
0.425           0.861     0.718    1.098     0.614        0.515
0.475           0.819     0.705    1.072     0.584        0.506
0.525           0.765     0.691    1.043     0.548        0.493
0.575           0.701     0.673    1.009     0.500        0.477
0.625           0.631     0.650    0.970     0.451        0.461
0.675           0.535     0.621    0.922     0.381        0.437
0.725           0.469     0.607    0.850     0.327        0.423
0.775           0.554     0.636    0.808     0.386        0.443
0.825           0.603     0.654    0.779     0.422        0.456
0.875           0.641     0.669    0.755     0.447        0.467
0.925           0.668     0.680    0.731     0.466        0.473
0.975           0.688     0.706    0.713     0.481        0.490
Mean            0.787     0.699    1.000     0.556        0.496