Computing...

Input interpretation:

first Albert Einstein curve  (popular curve)


Associated person:

Albert Einstein


Equations:

Parametric equations:

x(t) = ((-38\/9 sin(11\/7 - 3 t) + 156\/5 sin(t + 47\/10) + 91\/16 sin(2 t + 21\/13) + 555\/2) theta(91 pi - t) theta(t - 87 pi) + (-12\/11 sin(35\/23 - 11 t) + 4243\/12 sin(t + 11\/7) + 678\/11 sin(2 t + 33\/7) + 401\/6 sin(3 t + 47\/10) + 59\/3 sin(4 t + 11\/7) + 238\/25 sin(5 t + 47\/10) + 85\/11 sin(6 t + 51\/11) + 57\/4 sin(7 t + 61\/13) + 28\/29 sin(8 t + 22\/5) + 52\/9 sin(9 t + 14\/3) + 286\/57 sin(10 t + 11\/7) + 19\/11 sin(12 t + 32\/7) + 30\/11 sin(13 t + 60\/13) + 95\/14 sin(14 t + 89\/19) + 32\/7 sin(15 t + 11\/7) + 43\/10 sin(16 t + 65\/14) + 19\/7 sin(17 t + 32\/7) + 13\/10 sin(18 t + 77\/17) + 11\/9 sin(19 t + 85\/19) + 1\/5 sin(20 t + 4) + 3\/11 sin(21 t + 28\/9) + 29\/11 sin(22 t + 60\/13) + 80\/27 sin(23 t + 50\/11) + 19\/12 sin(24 t + 60\/13) + 1\/5 sin(25 t + 12\/5) + 82\/13 sin(26 t + 51\/11) + 3\/11 sin(27 t + 19\/8) + 32\/9 sin(28 t + 10\/7) + 41\/7 sin(29 t + 22\/15) + 9\/11 sin(30 t + 11\/8) + 2881\/6) theta(87 pi - t) theta(t - 83 pi) + (-46\/31 sin(20\/13 - 22 t) - 22\/9 sin(14\/9 - 6 t) - 5\/4 sin(3\/2 - 4 t) + 399\/5 sin(t + 11\/7) + 16\/9 sin(2 t + 3\/2) + 116\/13 sin(3 t + 14\/9) + 8\/5 sin(5 t + 14\/9) + 11\/7 sin(7 t + 8\/5) + 9\/11 sin(8 t + 14\/3) + 28\/13 sin(9 t + 11\/7) + 7\/8 sin(10 t + 11\/7) + 23\/12 sin(11 t + 17\/11) + 11\/12 sin(12 t + 19\/13) + 35\/23 sin(13 t + 3\/2) + 13\/7 sin(14 t + 20\/13) + 19\/9 sin(15 t + 3\/2) + 11\/5 sin(16 t + 3\/2) + 27\/13 sin(17 t + 34\/23) + 3 sin(18 t + 26\/17) + 6\/5 sin(19 t + 7\/5) + 19\/12 sin(20 t + 29\/19) + 20\/13 sin(21 t + 21\/13) + 8\/9 sin(23 t + 32\/7) + 22\/23 sin(24 t + 23\/5) + 17\/11 sin(25 t + 61\/13) + 13021\/30) theta(83 pi - t) theta(t - 79 pi) + (-15\/31 sin(11\/7 - 8 t) + 1\/15 sin(t + 11\/6) + 55\/14 sin(2 t + 19\/12) + 88\/13 sin(3 t + 19\/12) + 17\/9 sin(4 t + 8\/5) + 1\/18 sin(5 t + 16\/9) + 4\/7 sin(6 t + 21\/13) + 9\/8 sin(7 t + 8\/5) + 8\/15 sin(9 t + 8\/5) + 3053\/7) theta(79 pi - t) theta(t - 75 pi) + (-20\/3 sin(11\/7 - 4 t) - 117\/8 sin(11\/7 - 3 t) - 647\/27 sin(11\/7 - 2 t) + 559\/15 sin(t + 11\/7) + 2\/13 sin(5 t + 13\/8) + 6\/17 sin(6 t + 18\/11) + 5\/8 sin(7 t + 8\/5) + 22549\/41) theta(75 pi - t) theta(t - 71 pi) + (-11\/9 sin(17\/11 - 10 t) - 40\/13 sin(14\/9 - 8 t) - 254\/23 sin(11\/7 - 4 t) - 62\/7 sin(11\/7 - 2 t) + 11 sin(t + 11\/7) + 255\/16 sin(3 t + 11\/7) + 137\/10 sin(5 t + 19\/12) + 111\/8 sin(6 t + 19\/12) + 29\/19 sin(7 t + 8\/5) + 2\/9 sin(9 t + 26\/17) + 11\/12 sin(11 t + 19\/12) + 1\/24 sin(12 t + 41\/9) + 8\/9 sin(14 t + 13\/8) + 1313\/3) theta(71 pi - t) theta(t - 67 pi) + (-5\/8 sin(14\/9 - 8 t) - 11\/13 sin(14\/9 - 7 t) - 12\/5 sin(11\/7 - 6 t) - 7\/9 sin(14\/9 - 3 t) - 272\/13 sin(11\/7 - 2 t) + 7\/2 sin(t + 11\/7) + 3\/4 sin(4 t + 14\/9) + 7\/9 sin(5 t + 11\/7) + 3\/13 sin(9 t + 11\/7) + 4876\/9) theta(67 pi - t) theta(t - 63 pi) + (-22\/9 sin(11\/7 - t) + 177\/7 sin(2 t + 11\/7) + 21\/10 sin(3 t + 11\/7) + 11\/7 sin(4 t + 11\/7) + 1\/14 sin(5 t + 17\/10) + 66\/19 sin(6 t + 11\/7) + 1\/22 sin(7 t + 12\/7) + 20\/13 sin(8 t + 11\/7) + 3561\/10) theta(63 pi - t) theta(t - 59 pi) + (-9\/17 sin(25\/17 - 11 t) - 1\/2 sin(25\/17 - 10 t) - 1\/5 sin(9\/7 - 9 t) - 1\/3 sin(4\/3 - 8 t) - 7\/3 sin(14\/9 - 7 t) - 208\/25 sin(14\/9 - 4 t) + 139\/3 sin(t + 11\/7) + 186\/5 sin(2 t + 11\/7) + 19\/6 sin(3 t + 8\/5) + 19\/12 sin(5 t + 8\/5) + 3\/13 sin(6 t + 7\/4) + 2\/5 sin(12 t + 13\/8) + 1\/9 sin(13 t + 65\/14) + 6\/13 sin(14 t + 18\/11) + 1\/8 sin(15 t + 5\/3) + 1\/8 sin(16 t + 7\/4) + 1\/18 sin(17 t + 24\/11) + 1737\/4) theta(59 pi - t) theta(t - 55 pi) + (-6\/13 sin(23\/15 - 21 t) - 3\/10 sin(10\/7 - 20 t) - 7\/8 sin(26\/17 - 19 t) - 1\/4 sin(19\/13 - 18 t) - 11\/17 sin(17\/11 - 17 t) - 1\/8 sin(11\/9 - 16 t) - 7\/8 sin(17\/11 - 15 t) - 38\/39 sin(11\/7 - 13 t) - 57\/10 sin(14\/9 - 7 t) - 1\/7 sin(3\/5 - 6 t) - 201\/10 sin(14\/9 - 5 t) - 28\/11 sin(17\/11 - 4 t) - 303\/10 sin(14\/9 - 3 t) + 1084\/9 sin(t + 11\/7) + 39\/7 sin(2 t + 14\/9) + 23\/14 sin(8 t + 14\/9) + 22\/23 sin(9 t + 47\/10) + 8\/13 sin(10 t + 11\/7) + 1\/8 sin(11 t + 22\/13) + 10\/19 sin(12 t + 11\/7) + 9\/13 sin(14 t + 21\/13) + 1\/8 sin(22 t + 11\/7) + 1319\/3) theta(55 pi - t) theta(t - 51 pi) + (-3\/2 sin(11\/7 - 17 t) - 9\/8 sin(14\/9 - 15 t) - 12\/7 sin(14\/9 - 14 t) - 8\/7 sin(14\/9 - 12 t) - 6\/19 sin(3\/2 - 11 t) - 296\/11 sin(11\/7 - 5 t) - 163\/25 sin(11\/7 - 4 t) - 721\/20 sin(11\/7 - 3 t) - 85\/4 sin(11\/7 - 2 t) + 1353\/7 sin(t + 11\/7) + 31\/11 sin(6 t + 8\/5) + 113\/10 sin(7 t + 33\/7) + 27\/7 sin(8 t + 14\/9) + 23\/8 sin(9 t + 33\/7) + 7\/6 sin(10 t + 13\/8) + 5\/12 sin(13 t + 37\/8) + 2\/3 sin(16 t + 51\/11) + 3\/8 sin(18 t + 8\/5) + 7126\/15) theta(51 pi - t) theta(t - 47 pi) + (-2\/9 sin(1\/3 - 4 t) + 791\/5 sin(t + 11\/7) + 10\/19 sin(2 t + 9\/14) + 118\/7 sin(3 t + 14\/9) + 21\/4 sin(5 t + 11\/7) + 1\/9 sin(6 t + 117\/58) + 30\/11 sin(7 t + 14\/9) + 5\/13 sin(8 t + 17\/14) + 7\/4 sin(9 t + 28\/19) + 3\/14 sin(10 t + 15\/16) + 12\/13 sin(11 t + 19\/12) + 1\/15 sin(12 t + 43\/13) + 11\/16 sin(13 t + 13\/8) + 2251\/5) theta(47 pi - t) theta(t - 43 pi) + (3724\/25 sin(t + 11\/7) + 1\/3 sin(2 t + 16\/9) + 266\/17 sin(3 t + 11\/7) + 10\/13 sin(4 t + 19\/11) + 34\/7 sin(5 t + 19\/12) + 5\/12 sin(6 t + 5\/3) + 20\/11 sin(7 t + 8\/5) + 1\/5 sin(8 t + 11\/7) + 7\/5 sin(9 t + 19\/12) + 2\/7 sin(10 t + 5\/3) + 7\/8 sin(11 t + 14\/9) + 1\/51 sin(12 t + 47\/16) + 7\/9 sin(13 t + 13\/8) + 1\/10 sin(14 t + 50\/11) + 12403\/28) theta(43 pi - t) theta(t - 39 pi) + (-4\/7 sin(5\/9 - 19 t) + 4341\/11 sin(t + 17\/11) + 595\/6 sin(2 t + 14\/3) + 1286\/17 sin(3 t + 37\/8) + 314\/9 sin(4 t + 23\/15) + 121\/3 sin(5 t + 37\/8) + 222\/17 sin(6 t + 21\/5) + 103\/9 sin(7 t + 23\/5) + 29\/5 sin(8 t + 25\/6) + 127\/9 sin(9 t + 49\/11) + 11\/6 sin(10 t + 37\/19) + 23\/3 sin(11 t + 23\/5) + 77\/13 sin(12 t + 23\/12) + 97\/7 sin(13 t + 41\/9) + 29\/7 sin(14 t + 17\/8) + 39\/7 sin(15 t + 49\/11) + 5\/8 sin(16 t + 19\/11) + 5\/11 sin(17 t + 17\/9) + 2\/3 sin(18 t + 27\/7) + 19\/13 sin(20 t + 37\/12) + 84\/13 sin(21 t + 25\/6) + 11\/23 sin(22 t + 41\/14) + 45\/13 sin(23 t + 31\/32) + 3\/14 sin(24 t + 41\/20) + 49\/13 sin(25 t + 41\/10) + 16\/11 sin(26 t + 17\/11) + 12\/7 sin(27 t + 22\/5) + 37\/13 sin(28 t + 48\/13) + 4\/3 sin(29 t + 3) + 31\/11 sin(30 t + 3\/10) + 79\/15 sin(31 t + 10\/11) + 10753\/21) theta(39 pi - t) theta(t - 35 pi) + (-16\/9 sin(13\/9 - 8 t) - 108\/19 sin(8\/11 - 6 t) + 17\/13 sin(t + 8\/7) + 7\/3 sin(2 t + 21\/10) + 24\/7 sin(3 t + 20\/9) + 26\/7 sin(4 t + 32\/7) + 26\/11 sin(5 t + 11\/4) + 105\/19 sin(7 t + 30\/7) + 6\/7 sin(9 t + 5\/11) + 23\/15 sin(10 t + 7\/5) + 11\/6 sin(11 t + 11\/3) + 12822\/23) theta(35 pi - t) theta(t - 31 pi) + (-5\/8 sin(11\/12 - 10 t) - 64\/13 sin(13\/14 - 6 t) + 7\/5 sin(t + 45\/11) + 74\/21 sin(2 t + 1\/7) + 52\/15 sin(3 t + 39\/10) + 5\/8 sin(4 t + 3\/5) + 17\/11 sin(5 t + 7\/6) + 39\/8 sin(7 t + 51\/13) + 15\/8 sin(8 t + 29\/8) + 16\/9 sin(9 t + 14\/3) + 97\/48 sin(11 t + 5\/9) + 3401\/10) theta(31 pi - t) theta(t - 27 pi) + (-12\/25 sin(17\/13 - 6 t) - 7\/11 sin(4\/7 - 4 t) - 14\/27 sin(3\/13 - 2 t) + 351\/10 sin(t + 11\/8) + 17\/6 sin(3 t + 28\/27) + 9\/8 sin(5 t + 10\/13) + 3921\/7) theta(27 pi - t) theta(t - 23 pi) + (431\/8 sin(t + 4\/5) + 199\/25 sin(2 t + 40\/9) + 2328\/7) theta(23 pi - t) theta(t - 19 pi) + (-2\/3 sin(5\/4 - 9 t) - 11\/9 sin(4\/3 - 5 t) - 74\/21 sin(1\/13 - 4 t) + 107\/6 sin(t + 8\/17) + 73\/10 sin(2 t + 12\/11) + 53\/12 sin(3 t + 48\/11) + 4\/9 sin(6 t + 31\/13) + 4\/11 sin(7 t + 5\/13) + 5\/14 sin(8 t + 127\/42) + 5\/16 sin(10 t + 17\/9) + 2\/5 sin(11 t + 29\/7) + 2378\/13) theta(19 pi - t) theta(t - 15 pi) + (194\/13 sin(t + 51\/14) + 93\/23 sin(2 t + 43\/12) + 13\/8 sin(3 t + 57\/17) + 9\/5 sin(4 t + 32\/13) + 14050\/21) theta(15 pi - t) theta(t - 11 pi) + (-19\/18 sin(1\/11 - 16 t) - 8\/11 sin(1\/6 - 14 t) - 13\/11 sin(1 - 7 t) - 9\/8 sin(7\/11 - 5 t) - 148\/9 sin(1\/7 - 2 t) + 19\/6 sin(t + 37\/8) + 625\/11 sin(3 t + 8\/5) + 241\/24 sin(4 t + 1\/6) + 16\/17 sin(6 t + 7\/5) + 95\/47 sin(8 t + 1\/4) + 20\/9 sin(9 t + 12\/7) + 11\/5 sin(10 t + 1\/4) + 3\/7 sin(11 t + 2\/3) + 9\/19 sin(12 t + 28\/9) + 3\/5 sin(13 t + 25\/6) + 2\/11 sin(15 t + 13\/9) + 1\/3 sin(17 t + 1\/6) + 3925\/7) theta(11 pi - t) theta(t - 7 pi) + (-31\/12 sin(11\/12 - 6 t) - 244\/9 sin(15\/11 - 4 t) - 186\/5 sin(7\/6 - 2 t) + 911\/26 sin(t + 74\/21) + 317\/7 sin(3 t + 1\/3) + 28\/9 sin(5 t + 52\/15) + 33\/17 sin(7 t + 12\/5) + 7\/10 sin(8 t + 13\/7) + 6\/7 sin(9 t + 9\/5) + 6\/7 sin(10 t + 11\/4) + 13\/5 sin(11 t + 4\/7) + 2721\/8) theta(7 pi - t) theta(t - 3 pi) + (-10\/7 sin(14\/9 - 12 t) - 11\/7 sin(7\/9 - 11 t) - 51\/19 sin(3\/2 - 4 t) - 89\/4 sin(18\/13 - 3 t) - 81\/10 sin(12\/25 - 2 t) + 2029\/8 sin(t + 3\/2) + 3 sin(5 t + 3\/5) + 23\/15 sin(6 t + 29\/10) + 74\/15 sin(7 t + 51\/25) + 10\/11 sin(8 t + 32\/21) + 13\/6 sin(9 t + 8\/5) + 2\/7 sin(10 t + 16\/7) + 4407\/10) theta(3 pi - t) theta(t + pi)) theta(sqrt(sgn(sin(t\/2))))\ny(t) = ((41\/2 sin(t + 61\/13) + 163\/18 sin(2 t + 14\/3) + 1\/2 sin(3 t + 41\/9) + 3802\/5) theta(91 pi - t) theta(t - 87 pi) + (-12\/7 sin(7\/5 - 17 t) - 41\/11 sin(11\/7 - 9 t) - 3\/7 sin(11\/8 - 4 t) + 1175\/14 sin(t + 47\/10) + 9961\/40 sin(2 t + 33\/7) + 555\/8 sin(3 t + 11\/7) + 39\/5 sin(5 t + 14\/9) + 11\/5 sin(6 t + 3\/2) + 25\/2 sin(7 t + 47\/10) + 155\/12 sin(8 t + 14\/9) + 33\/10 sin(10 t + 19\/12) + 14\/5 sin(11 t + 51\/11) + 64\/7 sin(12 t + 14\/3) + 45\/7 sin(13 t + 11\/7) + 1\/14 sin(14 t + 49\/13) + 1\/2 sin(15 t + 16\/13) + 76\/25 sin(16 t + 19\/12) + 23\/5 sin(18 t + 26\/17) + 191\/38 sin(19 t + 47\/10) + 47\/13 sin(20 t + 23\/15) + 62\/9 sin(21 t + 33\/7) + 31\/9 sin(22 t + 37\/25) + 31\/4 sin(23 t + 16\/11) + 18\/7 sin(24 t + 4\/3) + 91\/15 sin(25 t + 3\/2) + 29\/7 sin(26 t + 14\/3) + 49\/25 sin(27 t + 47\/10) + 9\/4 sin(28 t + 23\/5) + 57\/56 sin(29 t + 6\/5) + 83\/10 sin(30 t + 16\/11) + 18532\/29) theta(87 pi - t) theta(t - 83 pi) + (-9\/7 sin(4\/3 - 25 t) - 106\/11 sin(16\/11 - 22 t) - 11\/3 sin(17\/11 - 11 t) - 1\/17 sin(1\/16 - 9 t) - 2\/9 sin(3\/2 - 8 t) - 2\/9 sin(11\/9 - 6 t) + 38\/39 sin(t + 14\/3) + 9\/5 sin(2 t + 61\/13) + 19\/7 sin(3 t + 8\/5) + 22\/5 sin(4 t + 33\/7) + 8\/11 sin(5 t + 3\/2) + 95\/94 sin(7 t + 14\/9) + 25\/13 sin(10 t + 13\/8) + 3\/5 sin(12 t + 14\/3) + 2\/11 sin(13 t + 17\/4) + 35\/11 sin(14 t + 14\/3) + 17\/5 sin(15 t + 51\/11) + 84\/13 sin(16 t + 89\/19) + 51\/8 sin(17 t + 51\/11) + 5\/8 sin(18 t + 17\/5) + 35\/6 sin(19 t + 61\/13) + 11\/9 sin(20 t + 9\/2) + 21\/13 sin(21 t + 27\/16) + 77\/12 sin(23 t + 8\/5) + 151\/14 sin(24 t + 21\/13) + 2152\/7) theta(83 pi - t) theta(t - 79 pi) + (-14\/11 sin(20\/13 - 7 t) - 47\/8 sin(14\/9 - 3 t) - 388\/7 sin(11\/7 - t) + 18\/11 sin(2 t + 3\/2) + 4\/3 sin(4 t + 19\/12) + 19\/14 sin(5 t + 47\/10) + 3\/11 sin(6 t + 25\/17) + 1\/24 sin(8 t + 9\/14) + 1\/3 sin(9 t + 47\/10) + 5435\/13) theta(79 pi - t) theta(t - 75 pi) + (-5\/2 sin(14\/9 - 5 t) - 42\/11 sin(11\/7 - 3 t) - 237\/19 sin(11\/7 - t) + 86\/3 sin(2 t + 11\/7) + 14\/15 sin(4 t + 11\/7) + 17\/8 sin(6 t + 11\/7) + 15\/16 sin(7 t + 8\/5) + 4683\/10) theta(75 pi - t) theta(t - 71 pi) + (-5\/7 sin(14\/9 - 13 t) - 11\/16 sin(14\/9 - 9 t) - 13\/6 sin(11\/7 - 5 t) - 2\/7 sin(20\/13 - 4 t) - sin(11\/7 - 3 t) - 341\/34 sin(11\/7 - t) + 5\/3 sin(2 t + 11\/7) + 19\/8 sin(6 t + 19\/12) + 1\/11 sin(7 t + 55\/12) + 7\/6 sin(8 t + 19\/12) + 3\/8 sin(10 t + 11\/7) + 1\/10 sin(11 t + 5\/3) + 1\/2 sin(12 t + 19\/12) + 7\/10 sin(14 t + 8\/5) + 469\/2) theta(71 pi - t) theta(t - 67 pi) + (-3\/10 sin(14\/9 - 8 t) + 16\/11 sin(t + 75\/16) + 63\/2 sin(2 t + 11\/7) + 5\/7 sin(3 t + 8\/5) + 2\/3 sin(4 t + 13\/8) + 1\/33 sin(5 t + 9\/2) + 23\/7 sin(6 t + 11\/7) + 1\/29 sin(7 t + 14\/3) + 1\/5 sin(9 t + 61\/13) + 3265\/9) theta(67 pi - t) theta(t - 63 pi) + (-16\/13 sin(11\/7 - 4 t) - 59\/12 sin(11\/7 - t) + 183\/5 sin(2 t + 11\/7) + 5\/4 sin(3 t + 14\/9) + 8\/7 sin(5 t + 47\/10) + 80\/27 sin(6 t + 11\/7) + 14\/13 sin(7 t + 19\/12) + 20\/19 sin(8 t + 33\/7) + 10934\/29) theta(63 pi - t) theta(t - 59 pi) + (-7\/9 sin(29\/19 - 15 t) - 121\/60 sin(17\/11 - 5 t) - 742\/11 sin(11\/7 - t) + 494\/11 sin(2 t + 19\/12) + 74\/15 sin(3 t + 19\/12) + 78\/7 sin(4 t + 21\/13) + 47\/10 sin(6 t + 13\/8) + 35\/17 sin(7 t + 27\/16) + 17\/7 sin(8 t + 19\/12) + 5\/16 sin(9 t + 19\/8) + 22\/9 sin(10 t + 11\/7) + 2\/11 sin(11 t + 39\/10) + 10\/11 sin(12 t + 19\/12) + 5\/13 sin(13 t + 12\/7) + 3\/7 sin(14 t + 23\/14) + 1\/4 sin(16 t + 18\/11) + 1\/12 sin(17 t + 15\/7) + 4470\/11) theta(59 pi - t) theta(t - 55 pi) + (-2\/9 sin(17\/11 - 21 t) - 9\/7 sin(3\/2 - 18 t) - 3\/10 sin(22\/15 - 17 t) - 23\/7 sin(14\/9 - 8 t) + 18\/11 sin(t + 8\/5) + 155\/4 sin(2 t + 11\/7) + 9\/7 sin(3 t + 28\/17) + 173\/10 sin(4 t + 11\/7) + 14\/13 sin(5 t + 75\/16) + 22\/9 sin(6 t + 8\/5) + 1\/7 sin(7 t + 16\/9) + 5\/3 sin(9 t + 8\/5) + 9\/8 sin(10 t + 8\/5) + 16\/9 sin(11 t + 8\/5) + 8\/3 sin(12 t + 8\/5) + 3\/13 sin(13 t + 14\/3) + 29\/30 sin(14 t + 11\/7) + 1\/6 sin(15 t + 16\/9) + 7\/8 sin(16 t + 28\/17) + 5\/16 sin(19 t + 18\/11) + 11\/12 sin(20 t + 18\/11) + 1\/7 sin(22 t + 9\/7) + 3262\/11) theta(55 pi - t) theta(t - 51 pi) + (-7\/8 sin(17\/11 - 18 t) - 7\/6 sin(17\/11 - 17 t) - 3\/10 sin(23\/15 - 15 t) - 17\/10 sin(11\/7 - 10 t) - 24\/7 sin(14\/9 - 9 t) - 24\/25 sin(14\/9 - 8 t) - 40\/11 sin(11\/7 - 7 t) + 19\/10 sin(t + 33\/7) + 39\/7 sin(2 t + 11\/7) + 162\/19 sin(3 t + 11\/7) + 123\/8 sin(4 t + 11\/7) + 33\/7 sin(5 t + 11\/7) + 77\/9 sin(6 t + 11\/7) + 21\/22 sin(11 t + 8\/5) + 9\/17 sin(12 t + 21\/13) + 31\/12 sin(13 t + 19\/12) + 1\/20 sin(14 t + 23\/5) + 5\/14 sin(16 t + 8\/5) + 16814\/23) theta(51 pi - t) theta(t - 47 pi) + (-102\/11 sin(11\/7 - t) + 29\/7 sin(2 t + 33\/7) + 27\/10 sin(3 t + 19\/12) + 17\/7 sin(4 t + 47\/10) + 2\/11 sin(5 t + 13\/7) + 37\/14 sin(6 t + 47\/10) + 1\/13 sin(7 t + 85\/21) + 51\/26 sin(8 t + 47\/10) + 5\/6 sin(9 t + 8\/5) + 3\/5 sin(10 t + 47\/10) + 8\/13 sin(11 t + 8\/5) + 9\/13 sin(12 t + 47\/10) + 1\/10 sin(13 t + 53\/12) + 9028\/13) theta(47 pi - t) theta(t - 43 pi) + (-1\/2 sin(17\/11 - 14 t) - 15\/11 sin(14\/9 - 10 t) - 29\/11 sin(14\/9 - 8 t) - 29\/9 sin(14\/9 - 6 t) - 1\/3 sin(13\/9 - 5 t) - 108\/13 sin(14\/9 - 4 t) - 12\/7 sin(14\/9 - t) + 4\/13 sin(2 t + 8\/5) + 15\/11 sin(3 t + 11\/7) + 7\/6 sin(7 t + 11\/7) + 1\/15 sin(9 t + 5\/4) + 1\/9 sin(11 t + 16\/11) + 1\/10 sin(12 t + 12\/7) + 3\/8 sin(13 t + 8\/5) + 5872\/9) theta(43 pi - t) theta(t - 39 pi) + (-6\/7 sin(38\/25 - 30 t) - 6\/5 sin(1\/21 - 28 t) - 13\/8 sin(7\/9 - 18 t) + 275\/3 sin(t + 23\/5) + 3929\/11 sin(2 t + 14\/3) + 219\/4 sin(3 t + 27\/16) + 421\/11 sin(4 t + 47\/10) + 101\/6 sin(5 t + 26\/17) + 242\/9 sin(6 t + 4\/3) + 153\/13 sin(7 t + 1) + 73\/6 sin(8 t + 5\/4) + 65\/9 sin(9 t + 13\/11) + 47\/14 sin(10 t + 9\/7) + 51\/11 sin(11 t + 25\/6) + 25\/7 sin(12 t + 17\/13) + 13\/2 sin(13 t + 9\/8) + 40\/17 sin(14 t + 16\/17) + 36\/7 sin(15 t + 46\/47) + 2 sin(16 t + 2\/7) + 52\/21 sin(17 t + 10\/7) + 55\/12 sin(19 t + 6\/5) + 17\/8 sin(20 t + 1\/3) + 17\/6 sin(21 t + 58\/57) + 37\/12 sin(22 t + 35\/8) + 3\/4 sin(23 t + 12\/13) + 28\/13 sin(24 t + 4\/5) + 37\/19 sin(25 t + 19\/5) + 7\/10 sin(26 t + 55\/13) + 89\/14 sin(27 t + 7\/8) + 15\/7 sin(29 t + 23\/6) + 7\/11 sin(31 t + 11\/14) + 8933\/13) theta(39 pi - t) theta(t - 35 pi) + (-17\/9 sin(9\/14 - 11 t) - 4\/3 sin(1\/5 - 8 t) - 29\/6 sin(3\/8 - 7 t) + 13\/8 sin(t + 11\/6) + 6\/5 sin(2 t + 30\/7) + 8\/7 sin(3 t + 31\/11) + 13\/6 sin(4 t + 1\/11) + 4\/5 sin(5 t + 31\/7) + 31\/9 sin(6 t + 8\/11) + 1\/3 sin(9 t + 39\/20) + 9\/5 sin(10 t + 13\/4) + 7555\/14) theta(35 pi - t) theta(t - 31 pi) + (-11\/10 sin(10\/9 - 8 t) - 9\/2 sin(2\/5 - 7 t) - 18\/11 sin(10\/11 - 3 t) + 17\/9 sin(t + 32\/7) + 6\/5 sin(2 t + 38\/13) + 19\/14 sin(4 t + 28\/9) + 13\/9 sin(5 t + 3) + 15\/4 sin(6 t + 3\/4) + 60\/17 sin(9 t + 1\/14) + 10\/9 sin(10 t + 5\/4) + 13\/7 sin(11 t + 30\/13) + 9899\/18) theta(31 pi - t) theta(t - 27 pi) + (-2\/11 sin(2\/9 - 5 t) + 110\/7 sin(t + 35\/12) + 16\/9 sin(2 t + 68\/15) + 3\/14 sin(3 t + 36\/13) + 1\/2 sin(4 t + 7\/2) + 1\/7 sin(6 t + 45\/13) + 2682\/5) theta(27 pi - t) theta(t - 23 pi) + (157\/9 sin(t + 69\/34) + 19\/3 sin(2 t + 20\/7) + 2169\/4) theta(23 pi - t) theta(t - 19 pi) + (-3\/2 sin(3\/13 - 7 t) - 13\/4 sin(11\/12 - 4 t) - 131\/7 sin(5\/4 - 2 t) + 370\/7 sin(t + 74\/17) + 31\/3 sin(3 t + 47\/16) + 11\/4 sin(5 t + 50\/11) + 43\/11 sin(6 t + 19\/7) + 23\/14 sin(8 t + 33\/10) + 3\/5 sin(9 t + 21\/11) + 1\/10 sin(10 t + 1\/16) + 1\/3 sin(11 t + 62\/25) + 5541\/11) theta(19 pi - t) theta(t - 15 pi) + (171\/4 sin(t + 37\/8) + 7\/9 sin(2 t + 18\/13) + 41\/10 sin(3 t + 40\/9) + 6\/11 sin(4 t + 15\/11) + 5012\/11) theta(15 pi - t) theta(t - 11 pi) + (-12\/13 sin(7\/5 - 12 t) - 13\/8 sin(13\/11 - 10 t) + 43\/12 sin(t + 7\/9) + 279\/35 sin(2 t + 9\/2) + 201\/14 sin(3 t + 2\/9) + 23\/9 sin(4 t + 8\/7) + 64\/9 sin(5 t + 14\/5) + 83\/6 sin(6 t + 14\/3) + 103\/17 sin(7 t + 13\/4) + 36\/13 sin(8 t + 46\/11) + 22\/7 sin(9 t + 2\/7) + 8\/9 sin(11 t + 11\/4) + 20\/11 sin(13 t + 74\/25) + 5\/7 sin(14 t + 42\/13) + 7\/9 sin(15 t + 4\/7) + 9\/11 sin(16 t + 17\/4) + 7\/12 sin(17 t + 36\/11) + 3437\/6) theta(11 pi - t) theta(t - 7 pi) + (-22\/7 sin(7\/9 - 9 t) - 36\/7 sin(1 - 5 t) - 181\/26 sin(6\/5 - 3 t) + 28\/9 sin(t + 5\/6) + 131\/22 sin(2 t + 26\/7) + 127\/13 sin(4 t + 23\/5) + 21\/4 sin(6 t + 1\/10) + 40\/3 sin(7 t + 22\/23) + 88\/13 sin(8 t + 23\/5) + 115\/38 sin(10 t + 3\/7) + 11\/9 sin(11 t + 11\/8) + 8493\/14) theta(7 pi - t) theta(t - 3 pi) + (-8\/7 sin(16\/13 - 10 t) - 23\/10 sin(4\/3 - 7 t) - 3961\/12 sin(1\/19 - t) + 55\/3 sin(2 t + 13\/11) + 9\/17 sin(3 t + 31\/13) + 81\/7 sin(4 t + 9\/2) + 113\/17 sin(5 t + 13\/4) + 40\/9 sin(6 t + 12\/11) + 24\/23 sin(8 t + 53\/21) + 19\/8 sin(9 t + 3\/7) + 3\/13 sin(11 t + 18\/5) + 45\/44 sin(12 t + 5\/7) + 6798\/13) theta(3 pi - t) theta(t + pi)) theta(sqrt(sgn(sin(t\/2))))


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