double const angle_R[2*_n] = {6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029};

double const angle_A_N[2*_n] = {3.1415920000, 4.7123880000, 2.3561940000, 4.3196890000, 2.1598445000, 1.0799222500, 0.5399611250, 0.2699805625, 3.2765822813, 4.7798831406, 5.5315335703, 2.7657667852, 4.5244753926, 2.2622376963, 4.2727108481, 2.1363554241, 1.0681777120, 0.5340888560, 0.2670444280, 3.2751142140, 4.7791491070, 2.3895745535, 4.3363792768, 2.1681896384, 4.2256868192, 2.1128434096, 4.1980137048, 5.2405988524, 5.7618914262, 2.8809457131, 4.5820648507, 8.5742164210, 13.7118842119, 6.8559421001, 9.7111550515, 7.9971695258, 3.9985847629, 5.1408843814, 5.7120341849, 12.2807930880, 15.5651725396, 14.0657702713, 7.0328851298, 9.7996265664, 8.0414052773, 13.4454786401, 6.7227393201, 6.5029616600, 6.3930728300, 6.3381284092, 12.5938402002, 15.7216961016, 7.8608480449, 10.2136080239, 5.1068040061, 8.8365860045, 4.4182929964, 8.4923304938, 10.5293492425, 11.5478586227, 5.7739293055, 12.3117406542, 9.2974623154, 17.2150991548, 14.8907335789, 10.5869587777, 17.8598473918, 12.0715156900, 15.4605338406, 14.0134509159, 16.4315014477, 23.9237107209, 18.2450393561, 15.4057036795, 10.8444438280, 17.9885899111, 15.2774789512, 13.9219234712, 13.2441457312, 12.9052568612, 12.7358124262, 12.6510902029, 18.8919130985, 15.7291405507, 11.0061622695, 11.7862651362, 5.8931325623, 12.3713422826, 9.3272631354, 14.0884075633, 16.4689797773, 17.6592658843, 15.1128169319, 23.2643684689, 14.7737762227, 23.0948481026, 24.1137920542, 15.1984880096, 26.4487960033, 22.6491739973, 20.7493629884, 26.0826414854, 25.6076887339, 25.3702123640, 22.1098821718, 23.6213090888, 11.8106545327, 18.4716952634, 15.5190316273, 17.1842918093, 14.8753299002, 13.7208489457, 13.1436084685, 15.9965802240, 23.7062501032, 24.4194930545, 15.3513385214, 17.1004452563, 17.9749986179, 24.6954593060, 18.6309136428, 21.8818248126, 26.6488724034, 19.6076201914, 25.5117700811, 31.6054370391, 22.0859025093, 23.6093192400, 33.7958036244, 16.8979017888, 36.7232788885, 34.0695994355, 29.6011677090, 27.3669518457, 26.2498439082, 31.9744739526, 22.2704209661, 26.8431704860, 13.4215852313, 19.2771606069, 25.3465403005, 22.0980461459, 20.4737990685, 16.5200835240, 23.9680017532, 27.6919608678, 26.4123484193, 35.1973182082, 23.8818430939, 27.6488815381, 26.3908087603, 28.9033643772, 20.7348661725, 29.2169850789, 27.1748605307, 29.2953902566, 27.2140631137, 35.5981755554, 24.0822717616, 30.8906878676, 34.2948959324, 23.4306319384, 46.2728279648, 38.8443739736, 35.1301469780, 30.1314414802, 30.7736807255, 37.3779843554, 31.2553601689, 28.1940480874, 17.2386160261, 27.4688599999, 32.5839819926, 28.8583589934, 23.8539554865, 27.6349377286, 32.6670208570, 32.0414704139, 38.0118791938, 40.9970835896, 36.2065017860, 30.6696188784, 37.3259534319, 34.3709367130, 23.4686523404, 30.5838781570, 37.2830830712, 34.3495015210, 39.1658947473, 41.5740913722, 30.2118216700, 37.0970548218, 40.5396714036, 35.9777956696, 55.6880018260, 46.6935529057, 35.9131444382, 36.8061242059, 40.3942060898, 39.0466550376, 32.0896955042, 38.0359917565, 19.0179958607, 28.3585499172, 33.0288269454, 35.3639654654, 33.3899427239, 29.2613393415, 39.7634056590, 41.8728468105, 49.2107513877, 52.8797036880, 39.0062198294, 38.3526618957, 47.4506589420, 36.2916974681, 24.4290327121, 37.3472523385, 46.9479541575, 42.3235290598, 46.2945005123, 51.4215782503, 38.2771571047, 44.2713145348, 47.2683932615, 39.3421565986, 57.3701822905, 50.6762351379, 41.0460775485, 45.6557747625, 44.8190313681, 41.2590676709, 42.6206778223, 43.3014829155, 21.6507414402, 32.8165147069, 38.3994013345, 47.4740286614, 39.4449743219, 32.2888551346, 50.7019395512, 50.4837057522, 56.6577728600, 53.4616224242, 39.2971791916, 44.7813255782, 50.6649907833, 41.0404553887, 26.8034116666, 47.9592178172, 52.2539368969, 48.1181124236, 58.6165681957, 57.5826120920, 44.4992660255, 47.3823689894, 58.2486964903, 44.8323082071, 69.5400340904, 63.0443450393, 47.2301324933, 58.1725782364, 51.0774330992, 50.6714525320, 50.4684622543, 44.0837831257, 28.3250755409, 39.2952737529, 44.7803728530, 53.8061064221, 42.6110131964, 40.1550585733, 51.4934492706, 54.0210526119, 61.5680382899, 59.0583471391, 42.0955415432, 52.4636907497, 57.6477653704, 44.5318426764, 37.9738813060, 59.8276366325, 64.4713303002, 57.3684011208, 66.3833045399, 64.6075722656, 44.8701541065, 56.9925890254, 69.3369905039, 53.5180472095, 80.1660875872, 71.4989637834, 54.5990338610, 64.9986209217, 54.4904544418, 52.3779632034, 54.4633095900, 46.0812067935, 29.3237873748, 39.7946296699, 45.0300508057, 63.3557213999, 44.2442286853, 44.1132583119, 59.7557331355, 64.4353785399, 69.9167932553, 60.0911326218, 45.7535262846, 57.4342751145, 69.5578335485, 53.6284687611, 45.6637863440, 66.8141811530, 64.8230105604, 57.5442412509, 69.6128166050, 69.3639202923, 53.5315121154, 64.4648600314, 73.0731260011, 61.6692989596, 81.1001214622, 71.9659807209, 54.8325423239, 71.3985591546, 54.5488315524, 61.8319277601, 59.1902918684, 48.4446979327, 33.6471249444, 45.0978904488, 57.1064571966, 66.2523325895, 55.1173102816, 46.4082071042, 70.3279835331, 66.5799117388, 70.9890598489, 70.0520419142, 57.0171649264, 69.3492784369, 75.5153352097, 59.7488115917, 48.7239577593, 71.4858588606, 70.3004414084, 69.7077326705, 78.8361543162, 70.8339971479, 54.2665505374, 71.1155632438, 76.3984776073, 63.3319747627, 85.0730513638, 73.9524456717, 58.9673667993, 73.4659713865, 61.8657216640, 68.6319648174, 59.4487183911, 54.8570951897, 43.1365075685, 56.1257657623, 62.6203948475, 75.2924854164, 59.6373866892, 54.9514293095, 74.5995946357, 71.8573092842, 79.9109426172, 80.7961672940, 68.6724116119, 78.3184937752, 83.1415348803, 60.4203194211, 55.3428956696, 81.0785118114, 81.3799518852, 72.1058959090, 83.1768279355, 76.1459259575, 56.9225149363, 81.8683214448, 78.6332647019, 73.8741443114, 87.2025441323, 81.3003760574, 59.4997399921, 76.8737499829, 66.7112029622, 74.1962974665, 65.3724767098, 64.1021583447, 54.0422231416, 67.8618075503, 65.3468237357, 82.9388838620, 60.3189939061, 61.5754169136, 84.1947724392, 76.6548981801, 91.7345130608, 89.8495445172, 73.1991002235, 80.5818380810, 87.4147990332, 62.5569514917, 65.8359877005, 92.6082418283, 84.0032248878, 79.7007164059, 93.2574221854, 81.1862230766, 65.7258474973, 86.2699877194, 87.1172818407, 74.9745608808, 87.7527524170, 81.5754801939, 65.9204760560, 86.3673020104, 77.7411629716, 82.8528694726, 66.5591707071, 70.9786893389, 63.7636726402, 69.5809402996, 69.3479821103, 84.9394630493, 64.4608754939, 73.0711337031, 96.2258148296, 88.9536033768, 94.7422736533, 97.6366088149, 73.9510403665, 87.2409921540, 87.6027840638, 72.0757200027, 73.7369639574, 96.5587299568, 85.9784689462, 90.1131144307, 104.7468051992, 83.7893225777, 76.4521732493, 91.6331505954, 92.9404552787, 81.0277395998, 90.7793417765, 83.0887748678, 72.9603073885, 96.1704016782, 82.6427128054, 85.3036443896, 67.7845581597, 77.8745670667, 64.0700194982, 79.1588897301, 74.1369568197, 93.6171343996, 75.0828951647, 81.5237355341, 106.7352997466, 91.0667538352, 95.7988488825, 101.3064884296, 78.9275721738, 89.7292580518, 95.1301010142, 75.8393784720, 85.0435691936, 102.2120325690, 95.0883042479, 100.9512160830, 110.1658560196, 95.9236239834, 85.6609159478, 99.3791139403, 103.0966209526, 82.9642304368, 91.7475871950, 83.5728975712, 79.4855527358, 102.5746163533, 85.8448201430, 90.0462900583, 70.1558809941, 79.0602284780, 70.9460341995, 88.8800810822, 75.8559604899, 100.7598202362, 78.6542380771, 89.5925909917, 107.6281354754, 94.6547636938, 103.8760378074, 108.4866748935, 82.5176654058, 94.6658966619, 107.0231963149, 84.9275181179, 95.8708230180, 107.6256594754, 104.0783016967, 108.5878068030, 120.2673353810, 97.8327716642, 86.6154897824, 109.2811768590, 108.0476524119, 85.4397461665, 96.1269370598, 88.9041645036, 85.2927781962, 114.9030050791, 95.1506065074, 91.5575912405, 70.9115315851, 82.5796457677, 78.9889268458, 92.9015274054, 77.8666836456, 111.1899578155, 83.8693068668, 95.3417173807, 119.9274746713, 97.6628412918, 105.3800766005, 118.6634702856, 90.7476550975, 105.0640755092, 109.0806937327, 95.3810428224, 104.2391773717, 108.6682446522, 104.5995942793, 118.2732290958, 121.9684545274, 101.8249232315, 94.8947495616, 119.7039907501, 113.2590593516, 94.3286336319, 106.8545647882, 97.4095703634, 92.6870731276, 115.4585605448, 95.4283842402, 94.8380721011, 81.9765480169, 88.1121539777, 88.0383649523, 94.2846544527, 87.9830231649, 119.3897195708, 91.1107797400, 102.1040458188, 120.1670468904, 97.7826273955, 114.8647456538, 123.4058048064, 102.5435983593, 110.9620471343, 121.4544555467, 101.5679237295, 110.4742098252, 114.9273528731, 117.1539243912, 121.4088021459, 129.8194250539, 105.7504084889, 106.2822681859, 128.5393420637, 117.6767350026, 102.8206554589, 107.9589837016, 101.1033718201, 94.5339738559, 116.3820109031, 105.3148854150, 106.0645066841, 90.7313573099, 92.4895586242, 93.3686592697, 106.3745776129, 94.0279847450, 125.5537923608, 97.3344081350, 108.3574520163, 126.4353419833, 110.3415509375, 124.2857994205, 134.3995156854, 114.3236377944, 119.9936588475, 129.1118533989, 108.5382146512, 117.1009472817, 121.3823136028, 120.3814047561, 123.0225423224, 136.9094791378, 112.4370275323, 109.6255777018, 136.4941808231, 121.6541543823, 104.8093651429, 115.2365225451, 101.6005492418, 97.9241545609, 127.5018772512, 114.0164105905, 110.4152692660, 102.3315145964, 104.5728212631, 105.6934745847, 115.6785772660, 104.9631685672, 137.3045682675, 109.4929800840, 117.5783299864, 134.1873729698, 114.2175664249, 132.5069911598, 141.6517035565, 114.8081397300, 120.2359098152, 132.3745708828, 113.3111653931, 119.4874226468, 132.0003272868, 122.5488195981, 127.2478417434, 142.1637208425, 124.4889243861, 112.5099341228, 147.3611350351, 123.9460394883, 105.9553076959, 118.9510858157, 112.8826068728, 109.8483673779, 133.4639836538, 126.4222397874, 119.7597758601, 113.2869518891, 116.3337239109, 108.4323339028, 123.3311909207, 111.9310673901, 147.0717016804, 111.2349547905, 118.4493173338, 144.0476426450, 116.0061092625, 136.5428545786, 143.6696352659, 118.9586975788, 128.5943727353, 142.8369863442, 118.5423731180, 131.5278025107, 134.8789252129, 133.4128945567, 135.8214712184, 152.7337195814, 129.7739237497, 124.5772098061, 153.3947728767, 126.9628584033, 113.7469011490, 125.9884745379, 122.6844852295, 117.8908985518, 140.6268412423, 130.0036685758, 130.9752662499, 122.0362890854, 120.7083925091, 113.7612602019, 129.1372460644, 121.1172789634, 148.5232154671, 115.1023036780, 126.6661757790, 145.0144798617, 122.7727118723, 136.7845638777, 153.2152659169, 120.5899208985, 135.6931683907, 152.6695681676, 129.7418480311, 133.9859479614, 142.3911819398, 134.0274309143, 142.4119233928, 159.1705376642, 136.1339247868, 130.8988023261, 153.4139771367, 130.1140525332, 118.4640902081, 137.7718450689, 128.5761704950, 120.8367411787, 151.5245385513, 141.7357012318, 133.6996905720, 132.8232772421, 132.3850705830, 125.8827832403, 135.1980075836, 124.1476597172, 159.4631818454, 120.5722868671, 129.4011673736, 146.3819756590, 123.4564597651, 146.5512138255, 158.0985908908, 123.0315833796, 146.3387756269, 164.2755557871, 135.5448418409, 136.8874448663, 146.9835223922, 139.4651931405, 145.1308045059, 163.6715702208, 141.5260330650, 136.7364484594, 162.6159841990, 140.9982400600, 127.0477759671, 145.2052799499, 132.2928879296, 128.9782838917, 161.8784939093, 143.7710869049, 141.0005674042, 142.7568996538, 140.4934737845, 133.0785768425, 135.6543123788, 130.6589961104, 169.0020340435, 122.2001209662, 133.3566764231, 151.5013221779, 135.4409090202, 158.8266224545, 164.2362951995, 132.3836195295, 154.1563856975, 174.4675448239, 137.4992443534, 144.1478301182, 153.7553070196, 139.7094934484, 151.5361386554, 170.0158292911, 150.9813466017, 138.3225132218, 169.6922005817, 141.3947562513, 127.2460340569, 151.5875929963, 132.3424524469, 135.2862501518, 165.0324770393, 148.4896704641, 152.7846351852, 148.6489335443, 146.5810827297, 139.2639733151, 141.8886026093, 140.0593252271, 173.7021985960, 133.9749792380, 142.3856975546, 159.1574247393, 142.4105522965, 168.5946280941, 169.1202980193, 137.9672129336, 163.2313664009, 175.8634431756, 138.1971935293, 144.4968047061, 157.0713863136, 144.5091250953, 157.0775464731, 182.2113092014, 153.9374945568, 139.8005871994, 173.5728295704, 143.3350707457, 131.3577833041, 156.7850596199, 138.0827777529, 144.4395968004, 175.8923343592, 157.0611911196, 163.3535795086, 160.2165897016, 158.6480948040, 151.5806633537, 144.9053556227, 150.9924777294, 182.3103668486, 138.2790633643, 144.5377396178, 163.3750377650, 153.9441348050, 177.5030113440, 176.7160816457, 138.6235127468, 166.7011083075, 180.7399061289, 143.7770170001, 156.7114924371, 169.4619141747, 153.8459810215, 164.8875664376, 186.1163191837, 159.0315915421, 148.6308196935, 177.9879458116, 154.9674048619, 143.4571343578, 169.1179191482, 144.2492075112, 156.9475876810, 179.0047377937, 164.9005768325, 173.5564563606, 168.4596201233, 165.9112020163, 152.0706249540, 154.5751124243, 152.6857641244, 192.5817860476, 140.2731809580, 154.9595744102, 174.8691391627, 156.5495935038, 178.8057406934, 177.3674463145, 145.2323790768, 173.1471334682, 190.2461027048, 151.6717072837, 163.8004295804, 169.8647907463, 157.1890113015, 175.9838575732, 197.9476487530, 164.9472563209, 157.8718360785, 188.8916379998, 163.5608429516, 154.0370373983, 177.5494626640, 154.7481632706, 162.1970655607, 184.7710687277, 177.2085183009, 179.7104270949, 171.5366054904, 167.4496946940, 159.1230552943, 158.1013275886, 160.7320557080, 196.6049318335, 148.5679378465, 162.2485448560, 178.5136243856, 158.3718361152, 179.7168619991, 180.9645989674, 150.1725473974, 185.0419936299, 196.1935327857, 154.6454223241, 165.2872870948, 180.0329954991, 165.4147056735, 183.2382967548, 207.8580523452, 166.7608661112, 168.2034169751, 190.9158364422, 173.9977181743, 159.2554750038, 189.5834574624, 163.9067526654, 169.9179522537, 191.7731040698, 183.8511279735, 183.0317319311, 173.1972579085, 168.2800208972, 168.9629943974, 163.0212971343, 172.6168164823, 202.5473122207, 151.5391280343, 170.0173239513, 179.2564219332, 161.8848268832, 187.7565413787, 191.2676226528, 158.4656512357, 195.4717295506, 198.2668087460, 155.6820602984, 175.2303820834, 185.0045429934, 167.9004794148, 190.7643676269, 211.6210877754, 174.9255678277, 172.2857678276, 202.3817878640, 186.0138778808, 171.5467388585, 195.7290893897, 166.9795686290, 171.4543602355, 195.6829000549, 195.2308019674, 188.7215689281, 176.0421764012, 179.1272561391, 177.5282040140, 173.5870859382, 181.0413028857, 203.6179634224, 152.0744536351, 170.2849867459, 188.8150293320, 166.6641305768, 199.5709692269, 197.1748365710, 170.8440341963, 198.5193290308, 202.9322004803, 164.2979401612, 185.8215060162, 187.1585129598, 168.9774643921, 200.7276361171, 213.4611300146, 182.1287729430, 179.0289623808, 208.8949771363, 195.5536565125, 182.5998121758, 201.2556260484, 169.7428369525, 179.1191783929, 205.7984931291, 206.5717825061, 194.3920591916, 188.3021975343, 182.1156746999, 185.3055972958, 177.4757825791, 182.9856512062, 207.7317295826, 154.1313367094, 180.7382042786, 200.3248220940, 175.5606189534, 207.1608054108, 207.2529386645, 175.8830852371, 207.3220385527, 204.1919632354, 171.2110055402, 189.2780387057, 188.8867792987, 176.1247815631, 201.1597027025, 216.8187553074, 186.9491775893, 181.4391646981, 219.5248542905, 207.1517790853, 194.6820574636, 207.2967486923, 175.9049902686, 188.4834390465, 213.6222154516, 216.7668276629, 205.7727657715, 193.9925508243, 184.9608513390, 196.1529616168, 182.8994647338, 191.9806762850, 212.2292421162, 165.8048689718, 189.7165624113, 204.8140011603, 180.9468004807, 216.1370801701, 214.8826680456, 176.5563579277, 210.8002668980, 205.9310774022, 178.3637466250, 192.8544092481, 193.8165565699, 178.5896701928, 211.8169230130, 228.4305494641, 192.7550746618, 39.8288812300, 1.0648885521};

double const angle_A_1[2*_n] = {3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000, 3.1415920000, 1.5707960000, 0.7853980000, 0.3926990000, 0.1963495000, 0.0981747500, 0.0490873750, 0.0245436875, 0.0122718438, 0.0061359219, 0.0030679609, 0.0015339805, 0.0007669902, 0.0003834951, 0.0001917476, 0.0000958738, 0.0000479369, 0.0000239684, 0.0000119842, 0.0000059921, 0.0000029961, 0.0000014980, 0.0000007490, 0.0000003745, 0.0000001873, 0.0000000936, 0.0000000468, 0.0000000234, 0.0000000117, 0.0000000059, -0.0000000029, 6.2831840000};

double const angle_A_dc[2*_n] = {3.1415920000, 1.5707960000, 3.9269900000, 5.1050870000, 5.6941355000, 5.9886597500, 2.9943298750, 1.4971649375, 0.7485824688, 3.5158832344, 1.7579416172, 4.0205628086, 2.0102814043, 4.1467327021, 5.2149583511, 5.7490711755, 6.0161275878, 3.0080637939, 1.5040318969, 3.8936079485, 1.9468039742, 4.1149939871, 2.0574969936, 4.1703404968, 2.0851702484, 1.0425851242, 0.5212925621, 3.4022382810, 1.7011191405, 3.9921515703, 1.9960757793, 10.4228138911, 8.3529989397, 10.4596834655, 14.6546177283, 13.6104928598, 13.0884304314, 6.5442152157, 3.2721076078, 4.7776457981, 11.8135989005, 9.0483914444, 10.8073797237, 5.4036898560, 12.1266209236, 12.3464944574, 12.4564312243, 12.5113996136, 6.2556998068, 3.1278498976, 10.9887009502, 8.6359424693, 13.7427472361, 10.0129656122, 14.4312588076, 10.3572214038, 8.3202027019, 7.3016933451, 13.0756226740, 6.5378113312, 9.5520896670, 7.9176368277, 13.3835944036, 19.2581652047, 12.7706745907, 18.9517052924, 15.7590366418, 17.3042943165, 14.9353311597, 7.4676655740, 13.1586087826, 16.0040803811, 20.5684081935, 13.4257960909, 16.1376740411, 17.4936130161, 18.1715825037, 18.5105672475, 18.6800596193, 18.7648058111, 12.5239948997, 15.6867734396, 20.4097547169, 19.6296533482, 25.5227866712, 19.0445773253, 22.0886566597, 17.3275123255, 14.9469401584, 13.7566540748, 16.3031030389, 8.1515515077, 16.6421437509, 14.6042558711, 16.7269039194, 27.2130039641, 16.7480939704, 20.9404149764, 23.0365754853, 17.8014717382, 18.3255118647, 18.5875319221, 21.8601339581, 20.3548429630, 32.1685654800, 25.5090587298, 28.4624893561, 26.7976126693, 29.1067663259, 30.2613431542, 30.8386315683, 27.9856837812, 20.2760258862, 19.5627889270, 28.6309464562, 26.8818412193, 26.0072886067, 19.2868282931, 25.3513741436, 22.1004630674, 17.3334155235, 24.3746677588, 18.4705178809, 12.3768509287, 21.8963854556, 26.6561527249, 19.6112603405, 38.0799581761, 19.0399790763, 22.0863575294, 26.7511387559, 29.0835293692, 30.2497246817, 24.5496383247, 34.2659631551, 29.6993495570, 43.1240027727, 37.2699613776, 31.2013486742, 34.4502263239, 36.0746651488, 40.0284765671, 32.5806062748, 28.8566711286, 30.1362955614, 21.3513317646, 32.6668098750, 28.8997729287, 30.1578464556, 27.6452912132, 35.8137896051, 27.3316707923, 29.3737953874, 27.2532656849, 29.3345928395, 20.9504804037, 32.4663841945, 31.9411520885, 31.6785360238, 44.1135960177, 22.0567979913, 29.8779509825, 33.7885274781, 38.8854077259, 38.2922558556, 31.7124959132, 37.8473919434, 40.9148399468, 51.8733399690, 41.6446299757, 36.5302749732, 40.2562814676, 45.2608767221, 41.4799903537, 36.4479551622, 37.0735295738, 31.1031327781, 28.1179343744, 32.9085191741, 38.4454035797, 31.7890697752, 34.7440868686, 45.6463714284, 38.5311457054, 31.8319408381, 34.7655224117, 29.9491291971, 27.5409325781, 38.9032022773, 38.3011531255, 38.0001285437, 44.1328002777, 25.2079921213, 34.5951400416, 45.5718980091, 44.7770929914, 41.2380984825, 42.6101932222, 49.5794245994, 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double const angle_V_a[2*_n][_n] = {
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{-0.0000000015, 0.0000000029, 0.0000000059, 0.0000000117, 0.0000000234, 0.0000000468, 0.0000000936, 0.0000001873, 0.0000003745, 0.0000007490, 0.0000014980, 0.0000029961, 0.0000059921, 0.0000119842, 0.0000239684, 0.0000479369, 0.0000958738, 0.0001917476, 0.0003834951, 0.0007669902, 0.0015339805, 0.0030679609, 0.0061359219, 0.0122718438, 0.0245436875, 0.0490873750, 0.0981747500, 0.1963495000, 0.3926990000, 0.7853980000, 1.5707960000, 3.1415920000, -0.0000000015, 0.0000000029, 0.0000000059, 0.0000000117, 0.0000000234, 0.0000000468, 0.0000000936, 0.0000001873, 0.0000003745, 0.0000007490, 0.0000014980, 0.0000029961, 0.0000059921, 0.0000119842, 0.0000239684, 0.0000479369, 0.0000958738, 0.0001917476, 0.0003834951, 0.0007669902, 0.0015339805, 0.0030679609, 0.0061359219, 0.0122718438, 0.0245436875, 0.0490873750, 0.0981747500, 0.1963495000, 0.3926990000, 0.7853980000, 1.5707960000, 3.1415920000, -0.0000000015, 0.0000000029, 0.0000000059, 0.0000000117, 0.0000000234, 0.0000000468, 0.0000000936, 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};

double const angle_V_N[2*_n][_n] = {
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-2992.9535505554, -2853.7398785225, -2471.6399993169, -2027.8826250739, -1888.0667724635, -1608.4350665465, -1806.2953268880, -2132.9008228526, -1906.4660546883, -2276.6936231394, -1688.2553431332, -1780.5819526920, -1346.3415464593, -534.4093905862, -1269.8806713376, -2093.6552785698, -2717.0455009948, -2349.0476587503, -2439.2906719466, -2041.7237694908, -1887.4747332198, -1610.3925800882, -1825.9183139759, -2143.8724690050, -2120.0464590151, -2531.0668717564, -2652.5326806495, -2232.5883869302, -1964.4695442450, -1431.3734503421, -1989.3843269151, -2543.0611104959, -3298.5563736925, -3157.0695083565, -2773.5648351999, -2323.8562810549, -2181.5628446422, -1887.5511951130, -2059.7931602375, -2338.3036577624, -2009.3957087171, -2576.8006915058, -1933.4695837122, -2066.8069540651, -1607.7739413268, -755.6813485378, -1404.5485714500, -2058.2566550112, -3038.9472542505, -2681.8335568214, -2753.0041643039, -2345.5667784175, -2190.4263273014, -1914.7029364621, -2126.6630109329, -2446.9106231356, -2418.2467514854, -2825.8746249135, -2871.4403311743, -2513.3240882241, -2227.4897069088, -1649.5377598789, -2120.9785222038, -2847.0901972883, -3605.0217154938, -3462.1241761682, -3044.3822350385, -2623.5884969619, -2473.1512606126, -2165.9936032689, -2308.8019607643, -2534.7284270324, -2295.4311194663, -2850.4202732192, -2075.4433793557, -2347.6129536329, -1870.9347003922, -974.1268508778, -1533.5635603451, -2366.5521050178, -3347.6621384731, -2991.3873094815, -3032.8197338392, -2647.5873737147, -2496.0162780656, -2218.0068221997, -2425.3947666231, -2742.7813027326, -2504.1917988886, -3082.5877040286, -3026.7250012509, -2817.6102446391, -2531.3275956745, -1952.4791136210, -2422.1268058986, -3147.7939328885, -3901.6947629048, -3750.7358472009, -3326.2959293145, -2929.8053417348, -2777.7089343267, -2464.0913429122, -2603.4046082674, -2822.3408902494, -2358.5765501095, -3064.6757108157, -2076.6977423906, -2651.7145120303, -2177.5449848360, -1276.3298119747, -1836.3766507553, -2670.5854540489, -3647.8528207445, -3283.8926582395, -3259.6889435701, -2947.3877854267, -2787.7410855643, -2490.4388294121, -2668.6659492644, -2927.7308362258, -2764.1351460841, -3310.3063426362, -3306.2331266769, -3122.1575437120, -2835.6877699885, -2256.4650384639, -2725.3642317995, -3446.3927689054, -4200.4411951553, -4040.3526959110, -3566.2376909512, -3227.4765292466, -3065.1752934483, -2731.1480453704, -2839.0667734004, -2982.6476127246, -2581.8006432764, -3215.8142493586, -2658.5765076930, -2954.6758347156, -2478.7332069380, -1580.2550163893, -2136.3510437936, -2965.7998163421, -3933.5471215415, -3553.6884280441, -3560.5194913886, -3250.5976412817, -3092.5679654790, -2795.3581654508, -2973.7701975569, -3230.0633170258, -2762.4728518992, -3501.7604586219, -3610.6015583498, -3429.3015750811, -3138.9582249360, -2561.4131165754, -3027.3843722318, -3745.6986259849, -4488.0353015293, -4317.0896688756, -3862.1010930896, -3536.4600537444, -3375.2663266355, -2644.4719119599, -2810.2277389818, -3314.5269515172, -2915.6921604255, -3302.4027638735, -2759.4969210284, -3257.0476050295, -2785.0255074020, -1884.9636015265, -2441.0337902832, -3267.2892935363, -4238.0748361464, -3854.8678414632, -3795.3120544418, -3547.3952076338, -3375.1454902754, -3058.9203832601, -3193.0186173847, -3357.5425488965, -3014.2897238571, -3804.3323147483, -3841.8958228133, -3731.6689122524, -3445.2416593547, -2862.9623776220, -3325.7484705414, -4037.6923988148, -4773.5716073998, -4577.1446728256, -4055.4855332062, -3687.6095342043, -3372.8308637015, -2736.9903383026, -3045.5300638777, -3486.6803615182, -2989.8220686426, -3507.2112365241, -2766.9900905389, -3564.2020004046, -3091.4582818112, -2189.9531345599, -2743.1368405651, -3566.7609703151, -4529.1421739190, -4129.1265012234, -4067.3692781772, -3852.7486633358, -3681.1179778301, -3359.8477505845, -3490.1389282500, -3653.3319308377, -3096.9305839489, -4063.8617952420, -4348.3884156397, -4034.6543060091, 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-4452.2931366915, -4267.5964847741, -3932.7606928998, -4029.6375573004, -4122.8603413643, -3329.1292054277, -4829.8518708579},
};

double const angle_W_a[2*_n] = {0.0000000000, 0.0000000000, 1.5707960000, 2.3561940000, 2.7488930000, 2.9452425000, 3.0434172500, 3.0925046250, 3.1170483125, 3.1293201563, 3.1354560781, 3.1385240391, 3.1400580195, 3.1408250098, 3.1412085049, 3.1414002524, 3.1414961262, 3.1415440631, 3.1415680316, 3.1415800158, 3.1415860079, 3.1415890039, 3.1415905020, 3.1415912510, 3.1415916255, 3.1415918127, 3.1415919064, 3.1415919532, 3.1415919766, 3.1415919883, 3.1415919941, 3.1415919971, 3.1415919956, 6.2831839956, 7.8539799956, 8.6393779956, 9.0320769956, 9.2284264956, 9.3266012456, 9.3756886206, 9.4002323081, 9.4125041519, 9.4186400737, 9.4217080347, 9.4232420151, 9.4240090054, 9.4243925005, 9.4245842481, 9.4246801218, 9.4247280587, 9.4247520272, 9.4247640114, 9.4247700035, 9.4247729996, 9.4247744976, 9.4247752466, 9.4247756211, 9.4247758084, 9.4247759020, 9.4247759488, 9.4247759722, 9.4247759839, 9.4247759898, 9.4247759927, 9.4247759912, 12.5663679912, 14.1371639912, 14.9225619912, 15.3152609912, 15.5116104912, 15.6097852412, 15.6588726162, 15.6834163037, 15.6956881475, 15.7018240693, 15.7048920303, 15.7064260108, 15.7071930010, 15.7075764961, 15.7077682437, 15.7078641174, 15.7079120543, 15.7079360228, 15.7079480070, 15.7079539991, 15.7079569952, 15.7079584932, 15.7079592422, 15.7079596167, 15.7079598040, 15.7079598976, 15.7079599444, 15.7079599678, 15.7079599795, 15.7079599854, 15.7079599883, 15.7079599868, 18.8495519868, 20.4203479868, 21.2057459868, 21.5984449868, 21.7947944868, 21.8929692368, 21.9420566118, 21.9666002993, 21.9788721431, 21.9850080650, 21.9880760259, 21.9896100064, 21.9903769966, 21.9907604917, 21.9909522393, 21.9910481131, 21.9910960499, 21.9911200184, 21.9911320026, 21.9911379947, 21.9911409908, 21.9911424888, 21.9911432378, 21.9911436123, 21.9911437996, 21.9911438932, 21.9911439400, 21.9911439634, 21.9911439751, 21.9911439810, 21.9911439839, 21.9911439824, 25.1327359824, 26.7035319824, 27.4889299824, 27.8816289824, 28.0779784824, 28.1761532324, 28.2252406074, 28.2497842949, 28.2620561387, 28.2681920606, 28.2712600215, 28.2727940020, 28.2735609922, 28.2739444873, 28.2741362349, 28.2742321087, 28.2742800456, 28.2743040140, 28.2743159982, 28.2743219903, 28.2743249864, 28.2743264844, 28.2743272334, 28.2743276079, 28.2743277952, 28.2743278888, 28.2743279356, 28.2743279590, 28.2743279707, 28.2743279766, 28.2743279795, 28.2743279781, 31.4159199781, 32.9867159781, 33.7721139781, 34.1648129781, 34.3611624781, 34.4593372281, 34.5084246031, 34.5329682906, 34.5452401343, 34.5513760562, 34.5544440171, 34.5559779976, 34.5567449878, 34.5571284829, 34.5573202305, 34.5574161043, 34.5574640412, 34.5574880096, 34.5574999938, 34.5575059859, 34.5575089820, 34.5575104800, 34.5575112290, 34.5575116035, 34.5575117908, 34.5575118844, 34.5575119312, 34.5575119546, 34.5575119664, 34.5575119722, 34.5575119751, 34.5575119737, 37.6991039737, 39.2698999737, 40.0552979737, 40.4479969737, 40.6443464737, 40.7425212237, 40.7916085987, 40.8161522862, 40.8284241299, 40.8345600518, 40.8376280127, 40.8391619932, 40.8399289834, 40.8403124786, 40.8405042261, 40.8406000999, 40.8406480368, 40.8406720052, 40.8406839894, 40.8406899816, 40.8406929776, 40.8406944756, 40.8406952247, 40.8406955992, 40.8406957864, 40.8406958800, 40.8406959269, 40.8406959503, 40.8406959620, 40.8406959678, 40.8406959707, 40.8406959693, 43.9822879693, 45.5530839693, 46.3384819693, 46.7311809693, 46.9275304693, 47.0257052193, 47.0747925943, 47.0993362818, 47.1116081255, 47.1177440474, 47.1208120083, 47.1223459888, 47.1231129790, 47.1234964742, 47.1236882217, 47.1237840955, 47.1238320324, 47.1238560008, 47.1238679851, 47.1238739772, 47.1238769732, 47.1238784713, 47.1238792203, 47.1238795948, 47.1238797820, 47.1238798757, 47.1238799225, 47.1238799459, 47.1238799576, 47.1238799634, 47.1238799664, 47.1238799649, 50.2654719649, 51.8362679649, 52.6216659649, 53.0143649649, 53.2107144649, 53.3088892149, 53.3579765899, 53.3825202774, 53.3947921211, 53.4009280430, 53.4039960040, 53.4055299844, 53.4062969747, 53.4066804698, 53.4068722173, 53.4069680911, 53.4070160280, 53.4070399964, 53.4070519807, 53.4070579728, 53.4070609688, 53.4070624669, 53.4070632159, 53.4070635904, 53.4070637776, 53.4070638713, 53.4070639181, 53.4070639415, 53.4070639532, 53.4070639590, 53.4070639620, 53.4070639605, 56.5486559605, 58.1194519605, 58.9048499605, 59.2975489605, 59.4938984605, 59.5920732105, 59.6411605855, 59.6657042730, 59.6779761168, 59.6841120386, 59.6871799996, 59.6887139800, 59.6894809703, 59.6898644654, 59.6900562129, 59.6901520867, 59.6902000236, 59.6902239921, 59.6902359763, 59.6902419684, 59.6902449644, 59.6902464625, 59.6902472115, 59.6902475860, 59.6902477732, 59.6902478669, 59.6902479137, 59.6902479371, 59.6902479488, 59.6902479546, 59.6902479576, 59.6902479561, 62.8318399561, 64.4026359561, 65.1880339561, 65.5807329561, 65.7770824561, 65.8752572061, 65.9243445811, 65.9488882686, 65.9611601124, 65.9672960342, 65.9703639952, 65.9718979756, 65.9726649659, 65.9730484610, 65.9732402086, 65.9733360823, 65.9733840192, 65.9734079877, 65.9734199719, 65.9734259640, 65.9734289601, 65.9734304581, 65.9734312071, 65.9734315816, 65.9734317689, 65.9734318625, 65.9734319093, 65.9734319327, 65.9734319444, 65.9734319503, 65.9734319532, 65.9734319517, 69.1150239517, 70.6858199517, 71.4712179517, 71.8639169517, 72.0602664517, 72.1584412017, 72.2075285767, 72.2320722642, 72.2443441080, 72.2504800298, 72.2535479908, 72.2550819713, 72.2558489615, 72.2562324566, 72.2564242042, 72.2565200779, 72.2565680148, 72.2565919833, 72.2566039675, 72.2566099596, 72.2566129557, 72.2566144537, 72.2566152027, 72.2566155772, 72.2566157645, 72.2566158581, 72.2566159049, 72.2566159283, 72.2566159400, 72.2566159459, 72.2566159488, 72.2566159473, 75.3982079473, 76.9690039473, 77.7544019473, 78.1471009473, 78.3434504473, 78.4416251973, 78.4907125723, 78.5152562598, 78.5275281036, 78.5336640255, 78.5367319864, 78.5382659669, 78.5390329571, 78.5394164522, 78.5396081998, 78.5397040736, 78.5397520104, 78.5397759789, 78.5397879631, 78.5397939552, 78.5397969513, 78.5397984493, 78.5397991983, 78.5397995728, 78.5397997601, 78.5397998537, 78.5397999005, 78.5397999239, 78.5397999356, 78.5397999415, 78.5397999444, 78.5397999429, 81.6813919429, 83.2521879429, 84.0375859429, 84.4302849429, 84.6266344429, 84.7248091929, 84.7738965679, 84.7984402554, 84.8107120992, 84.8168480211, 84.8199159820, 84.8214499625, 84.8222169527, 84.8226004478, 84.8227921954, 84.8228880692, 84.8229360061, 84.8229599745, 84.8229719587, 84.8229779508, 84.8229809469, 84.8229824449, 84.8229831939, 84.8229835684, 84.8229837557, 84.8229838493, 84.8229838961, 84.8229839195, 84.8229839312, 84.8229839371, 84.8229839400, 84.8229839386, 87.9645759386, 89.5353719386, 90.3207699386, 90.7134689386, 90.9098184386, 91.0079931886, 91.0570805636, 91.0816242511, 91.0938960948, 91.1000320167, 91.1030999776, 91.1046339581, 91.1054009483, 91.1057844434, 91.1059761910, 91.1060720648, 91.1061200017, 91.1061439701, 91.1061559543, 91.1061619464, 91.1061649425, 91.1061664405, 91.1061671895, 91.1061675641, 91.1061677513, 91.1061678449, 91.1061678917, 91.1061679152, 91.1061679269, 91.1061679327, 91.1061679356, 91.1061679342, 94.2477599342, 95.8185559342, 96.6039539342, 96.9966529342, 97.1930024342, 97.2911771842, 97.3402645592, 97.3648082467, 97.3770800904, 97.3832160123, 97.3862839732, 97.3878179537, 97.3885849439, 97.3889684391, 97.3891601866, 97.3892560604, 97.3893039973, 97.3893279657, 97.3893399499, 97.3893459421, 97.3893489381, 97.3893504361, 97.3893511852, 97.3893515597, 97.3893517469, 97.3893518405, 97.3893518874, 97.3893519108, 97.3893519225, 97.3893519283, 97.3893519312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312, 97.3893519298, 98.9601479298, 99.7455459298, 100.1382449298, 100.3345944298, 100.4327691798, 100.4818565548, 100.5064002423, 100.5186720860, 100.5248080079, 100.5278759688, 100.5294099493, 100.5301769395, 100.5305604347, 100.5307521822, 100.5308480560, 100.5308959929, 100.5309199613, 100.5309319456, 100.5309379377, 100.5309409337, 100.5309424318, 100.5309431808, 100.5309435553, 100.5309437425, 100.5309438362, 100.5309438830, 100.5309439064, 100.5309439181, 100.5309439239, 100.5309439269, 100.5309439312};

double const angle_W_N[2*_n] = {-34389.4368279998, -51554.3101179999, -60210.5741749998, -64463.3079954997, -66512.7059017498, -67462.0066468749, -67861.2588114377, -67985.4866857187, -68016.1847028592, -67954.5647074298, -67846.7857057149, -67715.9272008576, -67575.0997404287, -67427.7170062142, -67278.6274311071, -67127.1136395536, -66988.5249037767, -66843.8323278884, -66696.0878319441, -66546.8173759721, -66395.2131439861, -66242.4420239930, -66090.6582559966, -65937.7973679982, -65768.6899599989, -65604.0256599996, -65444.7245059999, -65462.4632809999, -65394.3636644999, -65283.3448522499, -65152.4371740696, -133788.8880030491, -167808.6621773872, -184892.3766767310, -193308.5702465111, -197287.3308155059, -199048.9456801084, -199703.5584885157, -199803.0994727421, -199713.0691209843, -199445.0009132128, -199080.0597974344, -198668.2530236504, -198236.1550128664, -197790.7697915784, -197340.3117610432, -196884.1757338568, -196455.0458323745, -195849.3526777391, -195323.4530685261, -194933.2687880282, -194507.2696358870, -194063.3630479206, -193615.2151300463, -193161.8049552456, -192674.3477319513, -192204.4244964099, -191740.1266624226, -191627.3582416171, -191341.6378153220, -190969.4413862791, -190557.1485478658, -190120.0950530130, -258125.9509896822, -291745.6047337840, -308681.0952861618, -316870.8096705673, -320582.3926389797, -322059.6222873992, -322416.5336838213, -322214.8567501493, -321835.9873915531, -321277.4156524673, -320617.9971511370, -319908.1552686817, -319174.6724916705, -318424.6568793771, -317669.5164414435, -316911.8135909703, -315851.2367018677, -315099.4660213439, -314544.5099373414, -313886.8992635566, -313174.8197028763, -312438.6472907457, -311691.9992488940, -310938.5425961931, -310169.1152700580, -309413.6937512021, -308654.2795636621, -308241.5857541861, -307653.5354216611, -306977.8068276115, -306259.8098988021, -305515.9663510433, -373016.5689573124, -406375.7420561364, -423224.9745740270, -431120.2325812971, -434530.6493532484, -435703.3578955426, -435757.2123230112, -435248.4981009400, -434595.1588062560, -433767.4052352309, -432821.0286060402, -431813.7696517589, -430782.3527189402, -429732.5736128485, -428676.7550121205, -427616.3458680781, -426552.0706563650, -425598.9597226417, -424971.6078401449, -424144.2816072175, -423198.1186470757, -422365.3248833183, -421619.0608417584, -420713.4289772792, -419746.9627533707, -418726.5174097354, -417682.2240979137, -416974.7235144044, -416085.3317869669, -415109.7068755697, -414086.2529841936, -413037.3137431889, -480308.3994989573, -513365.8894486392, -529959.0370600633, -537727.8234102082, -540919.4955497056, -541828.8937678790, -541598.7258213923, -540798.7747923874, -539914.9941103597, -538788.2367137679, -537543.1325518992, -536234.1426193841, -534901.0637815541, -533549.6573070644, -532187.5162182424, -530823.1494140709, -529655.5900481117, -528619.4211174225, -527653.6597925529, -526490.6244622205, -525572.9564531931, -524823.5251891938, -523767.0840936208, -522552.4256942338, -521288.5037669783, -519995.2376877749, -518663.7375922768, -517658.6956090342, -516471.3075618382, -515191.1756866661, -513866.2426935087, -512514.1966897186, -579482.9326481082, -612346.8362069486, -628945.2923631300, -636411.9985617610, -639298.6926176052, -639904.8053780587, -639370.6274908170, -638267.8750755341, -637086.6096724740, -635691.7294194744, -634158.6258215059, -632556.4105510467, -630924.3518323528, -629269.5174095389, -627603.2951346618, -625934.5205258250, -624187.5007455777, -622995.1192678513, -621805.1676415681, -620479.7716886370, -619325.4145644150, -618306.8423269262, -616960.3219407133, -615451.3982760559, -613947.6667522845, -612363.2791109283, -610735.4218184596, -609431.4048208396, -607939.0204625601, -606355.5940159548, -604723.5049331848, -603067.0844686721, -669753.2571288124, -702387.9144626328, -718725.6634784127, -726007.0382469507, -728648.6993758560, -728979.9284609440, -728159.0831161272, -726759.0589640969, -725347.4763007859, -723664.6498577666, -721836.7767488948, -719931.6679190892, -717998.9368008286, -716042.9697623354, -714075.3847637274, -712101.9907848520, -710350.3161437481, -708943.5497755175, -707687.2464001370, -706074.2056207638, -704622.0880754287, -703300.6976194879, -701653.5425041574, -699840.3634670291, -698052.5573931308, -696180.0484488168, -694257.3340889774, -692651.9505497792, -690854.9449128181, -688966.8406149799, -687030.0453947010, -685067.3338534016, -751598.7901792791, -783978.5893978907, -800231.3208482176, -807218.8594741340, -809562.8061158349, -809592.8107454254, -808468.9859609692, -806763.5340812004, -805073.5738741299, -803085.0542833389, -800947.2550006879, -798734.8158720970, -796671.9815445478, -794498.5956895167, -792269.9340707491, -790010.4929777562, -788115.7947797341, -786436.4547451523, -784894.6389167041, -783087.0056429066, -781385.2246384620, -779789.7768330725, -777854.7966271252, -775743.7670367662, -773684.5135983669, -771508.2057999069, -769281.2248011020, -767366.6283425259, -765438.5781859813, -763332.5844164592, -761131.3356564435, -758885.6009293107, -825198.5766583929, -857282.2108547168, -873231.3509900044, -879916.2975425092, -881953.4393436126, -881676.1035450081, -880247.8121305621, -878234.6181319087, -876233.7072655074, -873910.6416011597, -871450.0604775082, -869275.7215206082, -867077.9992710114, -864684.8022430644, -862193.8678259448, -859650.9231218360, -857513.9421743642, -855534.3900209770, -853892.7336052782, -851882.8128259588, -849927.5208568613, -848052.9503572496, -845827.6123883000, -843417.4659085504, -841053.1452215610, -838571.9365869166, -836035.4255698024, -834162.4136022606, -831926.8593273407, -829514.7462867384, -827008.0706792889, -824457.2553165419, -890471.6066999268, -922248.8491235090, -937890.8553645331, -944269.8677580139, -946000.1044717100, -945416.9489175122, -943683.3804133765, -941365.1806580306, -939010.7050253783, -936382.0517060129, -933614.7387466332, -931486.5249640549, -928986.7105297247, 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