#m=1, S=0
0 0
0.098174770424681 0.09801714032956
0.196349540849362 0.195090322016128
0.294524311274043 0.290284677254462
0.392699081698724 0.38268343236509
0.490873852123405 0.471396736825998
0.589048622548086 0.555570233019602
0.687223392972767 0.634393284163646
0.785398163397448 0.707106781186548
0.883572933822129 0.773010453362737
0.98174770424681 0.831469612302545
1.07992247467149 0.881921264348355
1.17809724509617 0.923879532511287
1.27627201552085 0.956940335732209
1.37444678594553 0.980785280403231
1.47262155637022 0.995184726672197
1.5707963267949 1
1.66897109721958 0.995184726672197
1.76714586764426 0.980785280403231
1.86532063806894 0.956940335732209
1.96349540849362 0.923879532511287
2.0616701789183 0.881921264348355
2.15984494934298 0.831469612302546
2.25801971976766 0.773010453362737
2.35619449019234 0.707106781186548
2.45436926061703 0.634393284163646
2.55254403104171 0.555570233019602
2.65071880146639 0.471396736825998
2.74889357189107 0.38268343236509
2.84706834231575 0.290284677254462
2.94524311274043 0.195090322016129
3.04341788316511 0.09801714032956
3.14159265358979 1.22460635382238E-16
3.23976742401447 -0.09801714032956
3.33794219443916 -0.195090322016128
3.43611696486384 -0.290284677254462
3.53429173528852 -0.38268343236509
3.6324665057132 -0.471396736825998
3.73064127613788 -0.555570233019602
3.82881604656256 -0.634393284163645
3.92699081698724 -0.707106781186548
4.02516558741192 -0.773010453362737
4.1233403578366 -0.831469612302545
4.22151512826128 -0.881921264348355
4.31968989868597 -0.923879532511287
4.41786466911065 -0.956940335732209
4.51603943953533 -0.98078528040323
4.61421420996001 -0.995184726672197
4.71238898038469 -1
4.81056375080937 -0.995184726672197
4.90873852123405 -0.980785280403231
5.00691329165873 -0.956940335732209
5.10508806208341 -0.923879532511287
5.2032628325081 -0.881921264348355
5.30143760293278 -0.831469612302546
5.39961237335746 -0.773010453362737
5.49778714378214 -0.707106781186548
5.59596191420682 -0.634393284163646
5.6941366846315 -0.555570233019602
5.79231145505618 -0.471396736825998
5.89048622548086 -0.38268343236509
5.98866099590554 -0.290284677254463
6.08683576633022 -0.195090322016129
6.18501053675491 -0.09801714032956

#m=1, S=0
0 -0.229952048510313
0.098174770424681 -0.052089958180928
0.196349540849362 0.106051938334801
0.294524311274043 0.50778386982573
0.392699081698724 0.160270726012319
0.490873852123405 0.329409205612908
0.589048622548086 0.762015143281382
0.687223392972767 0.860927355309225
0.785398163397448 0.728170937852946
0.883572933822129 0.777451953305651
0.98174770424681 0.729144330708597
1.07992247467149 0.694083955842805
1.17809724509617 0.908239785018318
1.27627201552085 1.17050134837467
1.37444678594553 1.1693783816253
1.47262155637022 0.795567848145912
1.5707963267949 0.886933922767639
1.66897109721958 1.07693000685791
1.76714586764426 0.872520386644189
1.86532063806894 1.19553497927103
1.96349540849362 0.944308557915442
2.0616701789183 0.855901748180193
2.15984494934298 1.07238148582569
2.25801971976766 0.9073167042013
2.35619449019234 0.506257790135231
2.45436926061703 0.566400086806364
2.55254403104171 0.715518661646706
2.65071880146639 0.375202817634861
2.74889357189107 0.578968606593341
2.84706834231575 0.418643618081191
2.94524311274043 0.229441485094228
3.04341788316511 0.238183926596052
3.14159265358979 -0.012267876416444
3.23976742401447 -0.247337047747081
3.33794219443916 -0.412310319679179
3.43611696486384 -0.230322833251634
3.53429173528852 -0.407248034777373
3.6324665057132 -0.720712392383437
3.73064127613788 -0.780369971750837
3.82881604656256 -0.396325483286029
3.92699081698724 -0.595030481921521
4.02516558741192 -0.930867938245434
4.1233403578366 -0.93688042519084
4.22151512826128 -0.89199380693565
4.31968989868597 -0.724868626701586
4.41786466911065 -0.974673902893694
4.51603943953533 -1.1917130904575
4.61421420996001 -0.984535737786392
4.71238898038469 -0.920675732195377
4.81056375080937 -1.17431807646895
4.90873852123405 -0.869421519741897
5.00691329165873 -0.826624331807973
5.10508806208341 -0.926002736571186
5.2032628325081 -0.930262667830837
5.30143760293278 -1.03908153587422
5.39961237335746 -0.978126912764061
5.49778714378214 -0.656888945953932
5.59596191420682 -0.884301116523541
5.6941366846315 -0.409615939355057
5.79231145505618 -0.339361736809085
5.89048622548086 -0.490442005621523
5.98866099590554 -0.15820492392821
6.08683576633022 -0.343728793511489
6.18501053675491 0.113357877088034

#m=3, S=0
0 -0.010588712400816
0.098174770424681 0.090553625020609
0.196349540849362 0.190823881531439
0.294524311274043 0.289256399748177
0.392699081698724 0.384903220711708
0.490873852123405 0.476843213250281
0.589048622548086 0.564190944976238
0.687223392972767 0.646105209483931
0.785398163397448 0.721797127627259
0.883572933822129 0.79053774485709
0.98174770424681 0.851665051452057
1.07992247467149 0.904590358034065
1.17809724509617 0.948803964968815
1.27627201552085 0.983880071051909
1.37444678594553 1.00948087420722
1.47262155637022 1.02535982470553
1.5707963267949 1.03136399957323
1.66897109721958 1.02743557532413
1.76714586764426 1.01361238483124
1.86532063806894 0.990027552975531
1.96349540849362 0.956908214580557
2.0616701789183 0.914573326979932
2.15984494934298 0.863430598283854
2.25801971976766 0.803972560927125
2.35619449019234 0.736771828312561
2.45436926061703 0.662475580230896
2.55254403104171 0.581799330165618
2.65071880146639 0.495520034506979
2.74889357189107 0.404468610037233
2.84706834231575 0.309521931747795
2.94524311274043 0.211594388053727
3.04341788316511 0.111629074733443
3.14159265358979 0.010588712400816
3.23976742401447 -0.090553625020609
3.33794219443916 -0.190823881531439
3.43611696486384 -0.289256399748177
3.53429173528852 -0.384903220711708
3.6324665057132 -0.476843213250281
3.73064127613788 -0.564190944976238
3.82881604656256 -0.646105209483931
3.92699081698724 -0.721797127627259
4.02516558741192 -0.79053774485709
4.1233403578366 -0.851665051452057
4.22151512826128 -0.904590358034065
4.31968989868597 -0.948803964968815
4.41786466911065 -0.983880071051909
4.51603943953533 -1.00948087420722
4.61421420996001 -1.02535982470553
4.71238898038469 -1.03136399957323
4.81056375080937 -1.02743557532413
4.90873852123405 -1.01361238483124
5.00691329165873 -0.990027552975531
5.10508806208341 -0.956908214580557
5.2032628325081 -0.914573326979932
5.30143760293278 -0.863430598283854
5.39961237335746 -0.803972560927125
5.49778714378214 -0.736771828312561
5.59596191420682 -0.662475580230896
5.6941366846315 -0.581799330165618
5.79231145505618 -0.495520034506979
5.89048622548086 -0.404468610037233
5.98866099590554 -0.309521931747795
6.08683576633022 -0.211594388053727
6.18501053675491 -0.111629074733443