momentum:                   p= 1.     p= 2.     p= 3.     p= 4.     p= 5.     p= 6.

 y=    0.0 beam posit. =      0.000     0.000     0.000     0.000     0.000     0.000
 y=    0.0 sag_approx  =      0.000     0.000     0.000     0.000     0.000     0.000
 y=    0.0 sag_exact   =      0.000     0.000     0.000     0.000     0.000     0.000

 y=  360.0 beam posit. =     19.497     9.727     6.482     4.861     3.888     3.240
 y=  360.0 sag_approx  =      4.874     2.432     1.621     1.215     0.972     0.810
 y=  360.0 sag_exact   =      4.878     2.432     1.621     1.215     0.972     0.810

 y=  385.5 beam posit. =     22.367    11.155     7.433     5.574     4.459     3.716
 y=  385.5 sag_approx  =      5.592     2.789     1.858     1.394     1.115     0.929
 y=  385.5 sag_exact   =      5.596     2.789     1.858     1.394     1.115     0.929

 y=  411.0 beam posit. =     25.435    12.681     8.450     6.336     5.068     4.223
 y=  411.0 sag_approx  =      6.359     3.170     2.112     1.584     1.267     1.056
 y=  411.0 sag_exact   =      6.365     3.171     2.113     1.584     1.267     1.056

 y=  483.5 beam posit. =     35.252    17.556    11.695     8.769     7.015     5.845
 y=  483.5 sag_approx  =      8.813     4.389     2.924     2.192     1.754     1.461
 y=  483.5 sag_exact   =      8.825     4.391     2.924     2.193     1.754     1.461

 y=  563.5 beam posit. =     47.975    23.858    15.889    11.913     9.529     7.940
 y=  563.5 sag_approx  =     11.994     5.964     3.972     2.978     2.382     1.985
 y=  563.5 sag_exact   =     12.015     5.967     3.973     2.979     2.382     1.985

 y=  643.5 beam posit. =     62.704    31.130    20.726    15.538    12.427    10.355
 y=  643.5 sag_approx  =     15.676     7.782     5.182     3.885     3.107     2.589
 y=  643.5 sag_exact   =     15.713     7.787     5.183     3.885     3.107     2.589

 y=  716.0 beam posit. =     77.806    38.561    25.666    19.238    15.387    12.821
 y=  716.0 sag_approx  =     19.452     9.640     6.416     4.810     3.847     3.205
 y=  716.0 sag_exact   =     19.509     9.647     6.418     4.811     3.847     3.205

 y=  741.5 beam posit. =     83.520    41.365    27.529    20.634    16.503    13.750
 y=  741.5 sag_approx  =     20.880    10.341     6.882     5.159     4.126     3.438
 y=  741.5 sag_exact   =     20.946    10.349     6.885     5.160     4.126     3.438

 y=  767.0 beam posit. =     89.443    44.269    29.458    22.079    17.658    14.713
 y=  767.0 sag_approx  =     22.361    11.067     7.364     5.520     4.415     3.678
 y=  767.0 sag_exact   =     22.436    11.076     7.367     5.521     4.415     3.678