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

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

 y=  25.5 beam posit. =      0.098     0.049     0.033     0.024     0.020
 y=  25.5 sag_approx  =      0.024     0.012     0.008     0.006     0.005
 y=  25.5 sag_exact   =      0.024     0.012     0.008     0.006     0.005

 y=  51.0 beam posit. =      0.390     0.195     0.130     0.098     0.078
 y=  51.0 sag_approx  =      0.098     0.049     0.033     0.025     0.020
 y=  51.0 sag_exact   =      0.098     0.049     0.033     0.025     0.020

 y= 203.5 beam posit. =      6.218     3.107     2.071     1.553     1.242
 y= 203.5 sag_approx  =      1.554     0.777     0.518     0.388     0.311
 y= 203.5 sag_exact   =      1.555     0.777     0.518     0.388     0.311

 y= 356.0 beam posit. =     19.065     9.512     6.339     4.753     3.803
 y= 356.0 sag_approx  =      4.766     2.378     1.585     1.188     0.951
 y= 356.0 sag_exact   =      4.770     2.378     1.585     1.189     0.951

 y= 381.5 beam posit. =     21.903    10.925     7.280     5.459     4.367
 y= 381.5 sag_approx  =      5.476     2.731     1.820     1.365     1.092
 y= 381.5 sag_exact   =      5.480     2.732     1.820     1.365     1.092

 y= 407.0 beam posit. =     24.941    12.435     8.286     6.213     4.970
 y= 407.0 sag_approx  =      6.235     3.109     2.071     1.553     1.243
 y= 407.0 sag_exact   =      6.241     3.110     2.072     1.554     1.243