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Input interpretation:

Warrior III Pose yoga curve  (popular curve)


Alternate name:

Virabhadrasana III curve


Associated yoga pose:

Warrior III Pose


Equations:

Parametric equations:

x(t) = ((-1\/23 sin(17\/11 - 23 t) - 1\/18 sin(32\/21 - 21 t) - 1\/17 sin(13\/9 - 19 t) - 1\/11 sin(16\/11 - 17 t) - 1\/9 sin(3\/2 - 15 t) - 1\/72 sin(17\/16 - 14 t) - 1\/6 sin(14\/9 - 13 t) - 1\/5 sin(11\/7 - 11 t) - 4\/13 sin(17\/11 - 9 t) - 1\/26 sin(8\/7 - 8 t) - 9\/19 sin(29\/19 - 7 t) - 30\/31 sin(17\/11 - 5 t) - 1\/7 sin(15\/11 - 4 t) - 14\/5 sin(14\/9 - 3 t) - 450\/19 sin(11\/7 - t) + 1\/42 sin(2 t + 5\/4) + 1\/15 sin(6 t + 9\/8) + 1\/93 sin(20 t + 47\/46) + 679\/8) theta(63 pi - t) theta(t - 59 pi) + (-1\/70 sin(4\/3 - 27 t) - 1\/96 sin(11\/7 - 26 t) - 1\/14 sin(3\/2 - 24 t) - 1\/23 sin(3\/2 - 22 t) - 1\/53 sin(7\/5 - 21 t) - 1\/11 sin(3\/2 - 19 t) - 1\/8 sin(20\/13 - 16 t) - 1\/6 sin(14\/9 - 14 t) - 1\/7 sin(11\/7 - 12 t) - 1\/7 sin(17\/11 - 10 t) - 1\/14 sin(11\/7 - 8 t) - 1\/13 sin(26\/17 - 7 t) - 2\/7 sin(17\/11 - 5 t) - 27\/26 sin(14\/9 - 4 t) - 18\/13 sin(11\/7 - 2 t) - 116\/13 sin(11\/7 - t) + 3\/11 sin(3 t + 33\/7) + 1\/9 sin(6 t + 33\/7) + 1\/19 sin(9 t + 14\/9) + 1\/18 sin(11 t + 11\/7) + 1\/11 sin(13 t + 17\/11) + 1\/8 sin(15 t + 8\/5) + 1\/66 sin(17 t + 20\/13) + 1\/19 sin(18 t + 13\/8) + 1\/18 sin(20 t + 23\/14) + 1\/19 sin(23 t + 18\/11) + 1\/40 sin(25 t + 11\/7) + 1257\/10) theta(59 pi - t) theta(t - 55 pi) + (-1\/11 sin(17\/12 - 26 t) - 1\/24 sin(13\/11 - 25 t) - 1\/9 sin(11\/8 - 24 t) - 1\/22 sin(11\/10 - 23 t) - 1\/8 sin(13\/9 - 22 t) - 1\/20 sin(11\/9 - 21 t) - 1\/8 sin(16\/11 - 20 t) - 1\/17 sin(11\/9 - 19 t) - 1\/9 sin(25\/17 - 18 t) - 1\/24 sin(9\/7 - 17 t) - 1\/7 sin(3\/2 - 16 t) - 1\/6 sin(3\/2 - 14 t) - 1\/5 sin(35\/23 - 12 t) - 1\/5 sin(17\/11 - 10 t) - 3\/10 sin(20\/13 - 8 t) - 3\/7 sin(14\/9 - 4 t) + 367\/11 sin(t + 11\/7) + 1\/3 sin(2 t + 61\/14) + 25\/8 sin(3 t + 19\/12) + 27\/26 sin(5 t + 8\/5) + 3\/7 sin(6 t + 47\/10) + 3\/7 sin(7 t + 19\/12) + 1\/8 sin(9 t + 8\/5) + 1\/15 sin(11 t + 19\/14) + 1\/15 sin(13 t + 17\/11) + 1\/66 sin(15 t + 1) + 5045\/52) theta(55 pi - t) theta(t - 51 pi) + (183\/26 sin(t + 14\/9) + 59\/9 sin(2 t + 14\/9) + 19\/8 sin(3 t + 75\/16) + 10\/3 sin(4 t + 14\/3) + 3 sin(5 t + 26\/17) + 4\/3 sin(6 t + 3\/2) + 15\/8 sin(7 t + 37\/8) + 5\/7 sin(8 t + 51\/11) + 9\/5 sin(9 t + 22\/15) + 4\/9 sin(10 t + 13\/9) + 3\/10 sin(11 t + 23\/5) + 3\/13 sin(12 t + 7\/5) + 1\/10 sin(13 t + 23\/17) + 1\/5 sin(14 t + 32\/7) + 1\/5 sin(15 t + 13\/9) + 2\/7 sin(16 t + 11\/8) + 1\/8 sin(17 t + 67\/15) + 2\/5 sin(18 t + 86\/19) + 1\/20 sin(19 t + 22\/15) + 1\/5 sin(20 t + 13\/10) + 1\/67 sin(21 t + 25\/13) + 1\/8 sin(22 t + 103\/23) + 1\/75 sin(23 t + 3\/4) + 1\/11 sin(24 t + 14\/11) + 1\/40 sin(25 t + 43\/10) + 1\/15 sin(26 t + 11\/9) + 1\/9 sin(27 t + 16\/13) + 1\/19 sin(28 t + 40\/9) + 1\/9 sin(29 t + 35\/8) + 1\/9 sin(30 t + 5\/4) + 1\/21 sin(31 t + 17\/14) + 1\/15 sin(32 t + 30\/7) + 1\/27 sin(33 t + 38\/9) + 82\/3) theta(51 pi - t) theta(t - 47 pi) + (-2\/3 sin(11\/7 - 2 t) + 114\/13 sin(t + 11\/7) + 17\/12 sin(3 t + 33\/7) + 1\/28 sin(4 t + 51\/11) + 3\/11 sin(5 t + 33\/7) + 1\/7 sin(6 t + 11\/7) + 1\/4 sin(7 t + 11\/7) + 1\/25 sin(8 t + 47\/10) + 1\/34 sin(9 t + 11\/7) + 1\/16 sin(10 t + 33\/7) + 1\/10 sin(11 t + 33\/7) + 1\/21 sin(12 t + 11\/7) + 1\/24 sin(14 t + 14\/9) + 1\/25 sin(15 t + 14\/9) + 1\/43 sin(16 t + 47\/10) + 1\/62 sin(19 t + 33\/7) + 1\/41 sin(20 t + 11\/7) + 413\/13) theta(47 pi - t) theta(t - 43 pi) + (-1\/42 sin(14\/9 - 23 t) - 1\/23 sin(11\/7 - 19 t) - 8\/11 sin(11\/7 - 8 t) - 117\/11 sin(11\/7 - 2 t) + 5\/4 sin(t + 11\/7) + 1\/11 sin(3 t + 27\/16) + 2\/3 sin(4 t + 33\/7) + 1\/12 sin(5 t + 19\/12) + 3\/7 sin(6 t + 33\/7) + 1\/38 sin(7 t + 28\/17) + 1\/10 sin(9 t + 75\/16) + 1\/15 sin(10 t + 47\/10) + 1\/20 sin(11 t + 13\/8) + 1\/3 sin(12 t + 33\/7) + 1\/20 sin(13 t + 75\/16) + 1\/10 sin(14 t + 47\/10) + 1\/14 sin(16 t + 61\/13) + 1\/83 sin(17 t + 23\/14) + 1\/8 sin(18 t + 47\/10) + 1\/29 sin(21 t + 19\/12) + 1\/12 sin(22 t + 33\/7) + 1\/38 sin(24 t + 14\/3) + 367\/8) theta(43 pi - t) theta(t - 39 pi) + (-1\/46 sin(14\/9 - 26 t) - 1\/43 sin(11\/7 - 18 t) - 1\/20 sin(17\/11 - 16 t) - 1\/12 sin(14\/9 - 14 t) - 1\/14 sin(38\/25 - 11 t) - 1\/45 sin(3\/2 - 9 t) - 5\/7 sin(14\/9 - 6 t) - 6\/7 sin(11\/7 - 4 t) - 71\/18 sin(11\/7 - 2 t) - 81\/10 sin(11\/7 - t) + 3\/8 sin(3 t + 14\/9) + 3\/5 sin(5 t + 11\/7) + 1\/5 sin(7 t + 11\/7) + 1\/8 sin(8 t + 47\/10) + 1\/15 sin(10 t + 8\/5) + 1\/16 sin(13 t + 19\/12) + 1\/27 sin(15 t + 23\/15) + 1\/30 sin(17 t + 8\/5) + 1\/31 sin(25 t + 13\/8) - 108\/5) theta(39 pi - t) theta(t - 35 pi) + (-1\/52 sin(10\/7 - 25 t) - 1\/97 sin(17\/12 - 17 t) - 1\/10 sin(17\/11 - 16 t) - 4\/11 sin(17\/11 - 10 t) - 36\/13 sin(11\/7 - 2 t) + 17\/4 sin(t + 11\/7) + 3\/10 sin(3 t + 11\/7) + 7\/15 sin(4 t + 8\/5) + 19\/18 sin(5 t + 8\/5) + 1\/11 sin(6 t + 12\/7) + 2\/11 sin(7 t + 19\/12) + 1\/18 sin(8 t + 7\/4) + 1\/9 sin(9 t + 20\/13) + 1\/21 sin(11 t + 20\/13) + 1\/21 sin(12 t + 14\/3) + 1\/9 sin(13 t + 13\/8) + 1\/54 sin(14 t + 68\/15) + 1\/9 sin(15 t + 13\/8) + 1\/15 sin(18 t + 5\/3) + 1\/21 sin(20 t + 19\/11) + 1\/19 sin(21 t + 18\/11) + 1\/38 sin(22 t + 14\/3) + 1\/19 sin(23 t + 23\/14) + 1\/83 sin(24 t + 23\/13) - 2149\/86) theta(35 pi - t) theta(t - 31 pi) + (-3\/5 sin(11\/7 - 2 t) - 1\/46 sin(17\/11 - t) + 5\/12 sin(3 t + 11\/7) + 1\/11 sin(4 t + 19\/12) + 1\/14 sin(5 t + 19\/12) + 1\/30 sin(6 t + 8\/5) + 1\/15 sin(7 t + 11\/7) + 1\/43 sin(8 t + 47\/10) - 63\/2) theta(31 pi - t) theta(t - 27 pi) + (-1\/23 sin(14\/9 - 8 t) - 1\/19 sin(17\/11 - 7 t) - 1\/14 sin(14\/9 - 6 t) - 1\/25 sin(14\/9 - 4 t) - 2\/9 sin(14\/9 - 3 t) - 18\/17 sin(11\/7 - 2 t) + 7\/15 sin(t + 11\/7) + 1\/11 sin(5 t + 11\/7) - 1057\/33) theta(27 pi - t) theta(t - 23 pi) + (-1\/34 sin(14\/9 - 7 t) + 2\/3 sin(t + 11\/7) + 4\/7 sin(2 t + 11\/7) + 1\/2 sin(3 t + 11\/7) + 6\/13 sin(4 t + 11\/7) + 3\/11 sin(5 t + 19\/12) + 1\/25 sin(6 t + 11\/7) + 1\/55 sin(8 t + 11\/7) + 1\/49 sin(9 t + 19\/12) + 1\/41 sin(10 t + 19\/12) + 1\/22 sin(11 t + 8\/5) + 1\/23 sin(12 t + 8\/5) + 1\/48 sin(13 t + 8\/5) + 1\/96 sin(15 t + 21\/13) + 1\/87 sin(18 t + 13\/8) + 1\/54 sin(19 t + 13\/8) + 1\/94 sin(20 t + 13\/8) - 361\/11) theta(23 pi - t) theta(t - 19 pi) + (-1\/99 sin(17\/11 - 33 t) - 1\/23 sin(11\/7 - 30 t) - 1\/33 sin(14\/9 - 27 t) - 1\/13 sin(17\/11 - 25 t) - 1\/20 sin(14\/9 - 22 t) - 2\/9 sin(11\/7 - 20 t) - 4\/13 sin(11\/7 - 18 t) + 389\/14 sin(t + 11\/7) + 19\/7 sin(2 t + 11\/7) + 11\/9 sin(3 t + 19\/12) + 11\/7 sin(4 t + 11\/7) + 1\/11 sin(5 t + 19\/12) + 2\/3 sin(6 t + 8\/5) + 2\/11 sin(7 t + 8\/5) + 2\/11 sin(8 t + 8\/5) + 2\/9 sin(9 t + 8\/5) + 1\/17 sin(10 t + 26\/17) + 1\/8 sin(11 t + 21\/13) + 1\/10 sin(12 t + 13\/8) + 1\/22 sin(13 t + 29\/19) + 1\/42 sin(14 t + 9\/5) + 2\/11 sin(15 t + 19\/12) + 1\/5 sin(16 t + 33\/7) + 4\/11 sin(17 t + 19\/12) + 6\/17 sin(19 t + 19\/12) + 2\/11 sin(21 t + 8\/5) + 1\/12 sin(24 t + 13\/8) + 1\/11 sin(26 t + 13\/8) + 1\/22 sin(29 t + 13\/8) + 1\/24 sin(31 t + 8\/5) + 1\/82 sin(32 t + 65\/14) - 587\/11) theta(19 pi - t) theta(t - 15 pi) + (-1\/30 sin(11\/7 - 18 t) - 1\/27 sin(14\/9 - 14 t) - 1\/10 sin(14\/9 - 9 t) - 4\/9 sin(11\/7 - 8 t) - 30\/11 sin(11\/7 - 2 t) + 101\/10 sin(t + 11\/7) + 9\/8 sin(3 t + 11\/7) + 2\/3 sin(4 t + 11\/7) + 29\/19 sin(5 t + 11\/7) + 4\/9 sin(6 t + 11\/7) + 1\/9 sin(7 t + 14\/9) + 1\/77 sin(10 t + 13\/8) + 2\/7 sin(11 t + 11\/7) + 1\/7 sin(12 t + 19\/12) + 1\/9 sin(13 t + 19\/12) + 1\/27 sin(15 t + 19\/12) + 1\/21 sin(17 t + 11\/7) + 1\/13 sin(21 t + 19\/12) + 1\/19 sin(22 t + 8\/5) + 1\/22 sin(23 t + 11\/7) + 1\/37 sin(24 t + 61\/13) - 25) theta(15 pi - t) theta(t - 11 pi) + (-1\/24 sin(23\/15 - 29 t) - 1\/16 sin(23\/15 - 25 t) - 1\/10 sin(17\/11 - 21 t) - 1\/10 sin(7\/5 - 20 t) - 2\/11 sin(13\/9 - 17 t) - 5\/16 sin(3\/2 - 16 t) - 1\/4 sin(32\/21 - 14 t) - 3\/7 sin(26\/17 - 13 t) - 3\/4 sin(14\/9 - 11 t) + 149\/8 sin(t + 11\/7) + 68\/7 sin(2 t + 19\/12) + 28\/19 sin(3 t + 19\/12) + 3\/4 sin(4 t + 8\/5) + 3\/11 sin(5 t + 18\/11) + 5\/4 sin(6 t + 8\/5) + 1\/26 sin(7 t + 195\/97) + 7\/13 sin(8 t + 11\/7) + 1\/4 sin(9 t + 65\/14) + 11\/12 sin(10 t + 19\/12) + 9\/8 sin(12 t + 8\/5) + 9\/10 sin(15 t + 18\/11) + 3\/10 sin(18 t + 5\/3) + 1\/6 sin(19 t + 17\/10) + 1\/4 sin(22 t + 18\/11) + 1\/67 sin(23 t + 29\/7) + 1\/46 sin(24 t + 6\/5) + 1\/7 sin(26 t + 5\/3) + 1\/48 sin(27 t + 20\/11) + 1\/11 sin(30 t + 5\/3) + 1\/26 sin(31 t + 11\/6) - 529\/7) theta(11 pi - t) theta(t - 7 pi) + (-2\/9 sin(11\/7 - 7 t) - 19\/8 sin(11\/7 - 3 t) - 479\/16 sin(11\/7 - t) + 9\/11 sin(2 t + 11\/7) + 5\/8 sin(4 t + 11\/7) + 3\/5 sin(5 t + 47\/10) + 8\/13 sin(6 t + 8\/5) + 3\/5 sin(8 t + 11\/7) + 1\/46 sin(9 t + 13\/8) + 6\/11 sin(10 t + 8\/5) + 2\/7 sin(11 t + 8\/5) + 3\/7 sin(12 t + 8\/5) + 2\/9 sin(13 t + 8\/5) + 2\/7 sin(14 t + 8\/5) + 1\/8 sin(15 t + 13\/8) + 2\/11 sin(16 t + 19\/12) + 1\/22 sin(17 t + 13\/8) + 1\/6 sin(18 t + 8\/5) + 1\/25 sin(19 t + 12\/7) + 1\/8 sin(20 t + 8\/5) + 1\/34 sin(21 t + 12\/7) - 317\/6) theta(7 pi - t) theta(t - 3 pi) + (-1\/31 sin(11\/17 - 22 t) - 1\/16 sin(17\/11 - 18 t) - 1\/6 sin(6\/5 - 12 t) - 2\/5 sin(8\/7 - 8 t) - 2\/7 sin(1\/16 - 7 t) - 3\/7 sin(37\/25 - 6 t) - 2 sin(9\/8 - 4 t) + 203\/9 sin(t + 3\/4) + 33\/7 sin(2 t + 1\/6) + 36\/13 sin(3 t + 30\/11) + 20\/11 sin(5 t + 17\/13) + 1\/4 sin(9 t + 45\/22) + 3\/13 sin(10 t + 33\/7) + 2\/11 sin(11 t + 3\/5) + 1\/23 sin(13 t + 19\/7) + 2\/11 sin(14 t + 45\/11) + 1\/15 sin(15 t + 11\/8) + 1\/30 sin(16 t + 23\/8) + 1\/57 sin(17 t + 17\/6) + 1\/13 sin(19 t + 11\/6) + 1\/13 sin(20 t + 17\/5) + 1\/21 sin(21 t + 3\/2) + 1\/28 sin(23 t + 3\/2) + 1\/21 sin(24 t + 55\/14) + 1\/18 sin(25 t + 33\/32) + 5) theta(3 pi - t) theta(t + pi)) theta(sqrt(sgn(sin(t\/2))))\ny(t) = ((-1\/49 sin(11\/7 - 24 t) - 1\/34 sin(11\/7 - 11 t) - 1\/7 sin(11\/7 - 5 t) - 29\/19 sin(11\/7 - 2 t) + 13\/8 sin(t + 33\/7) + 9\/10 sin(3 t + 11\/7) + 6\/13 sin(4 t + 11\/7) + 1\/5 sin(6 t + 33\/7) + 1\/38 sin(7 t + 33\/7) + 1\/26 sin(8 t + 11\/7) + 1\/17 sin(9 t + 11\/7) + 1\/64 sin(10 t + 21\/13) + 1\/82 sin(13 t + 8\/5) - 39\/19) theta(63 pi - t) theta(t - 59 pi) + (-1\/27 sin(3\/2 - 27 t) - 1\/22 sin(38\/25 - 25 t) - 1\/24 sin(16\/11 - 22 t) - 1\/56 sin(7\/5 - 20 t) - 1\/13 sin(35\/23 - 19 t) - 1\/7 sin(17\/11 - 17 t) - 1\/8 sin(14\/9 - 15 t) - 1\/7 sin(14\/9 - 13 t) - 1\/23 sin(26\/17 - 11 t) - 1\/24 sin(23\/15 - 10 t) - 1\/9 sin(17\/11 - 8 t) - 1\/14 sin(23\/15 - 7 t) - 2\/7 sin(14\/9 - 6 t) - 2\/5 sin(14\/9 - 5 t) - 19\/20 sin(14\/9 - 4 t) - 1\/6 sin(26\/17 - 3 t) - 5\/11 sin(11\/7 - 2 t) + 63\/8 sin(t + 11\/7) + 1\/26 sin(9 t + 18\/11) + 1\/36 sin(12 t + 17\/11) + 1\/19 sin(14 t + 14\/9) + 1\/16 sin(16 t + 17\/11) + 1\/12 sin(18 t + 8\/5) + 1\/23 sin(26 t + 18\/11) + 1\/72 sin(28 t + 26\/17) - 79\/11) theta(59 pi - t) theta(t - 55 pi) + (-1\/5 sin(11\/7 - 5 t) - 3\/4 sin(14\/9 - 4 t) - 1\/10 sin(13\/10 - 3 t) - 57\/17 sin(14\/9 - 2 t) + 6\/13 sin(t + 17\/11) + 4\/9 sin(6 t + 8\/5) + 1\/8 sin(7 t + 14\/3) + 1\/20 sin(8 t + 11\/7) + 1\/23 sin(9 t + 8\/5) + 1\/11 sin(10 t + 12\/7) + 2\/9 sin(11 t + 5\/3) + 1\/3 sin(12 t + 5\/3) + 1\/8 sin(13 t + 16\/9) + 3\/10 sin(14 t + 5\/3) + 1\/7 sin(15 t + 7\/4) + 1\/6 sin(16 t + 12\/7) + 2\/11 sin(17 t + 12\/7) + 1\/11 sin(18 t + 25\/14) + 1\/10 sin(19 t + 12\/7) + 1\/26 sin(20 t + 9\/5) + 1\/36 sin(21 t + 9\/5) + 1\/28 sin(22 t + 12\/7) + 1\/58 sin(23 t + 25\/13) + 1\/46 sin(24 t + 12\/7) + 1\/80 sin(25 t + 33\/7) - 118\/9) theta(55 pi - t) theta(t - 51 pi) + (-1\/14 sin(11\/7 - 29 t) - 1\/14 sin(11\/8 - 25 t) - 1\/27 sin(1\/12 - 21 t) - 1\/9 sin(18\/13 - 19 t) - 1\/6 sin(10\/7 - 11 t) - 1\/7 sin(23\/15 - 9 t) - 3\/10 sin(15\/11 - 5 t) - 1\/5 sin(9\/17 - 3 t) + 8\/7 sin(t + 19\/13) + 297\/10 sin(2 t + 14\/9) + 11\/3 sin(4 t + 17\/11) + 19\/18 sin(6 t + 20\/13) + 2\/7 sin(7 t + 32\/21) + 9\/5 sin(8 t + 3\/2) + 4\/13 sin(10 t + 11\/7) + 7\/12 sin(12 t + 25\/17) + 2\/7 sin(13 t + 21\/16) + 2\/5 sin(14 t + 13\/9) + 6\/17 sin(15 t + 51\/11) + 2\/11 sin(16 t + 11\/7) + 2\/9 sin(17 t + 13\/11) + 1\/3 sin(18 t + 22\/15) + 1\/15 sin(20 t + 10\/7) + 2\/9 sin(22 t + 7\/5) + 1\/19 sin(23 t + 5\/8) + 1\/12 sin(24 t + 17\/10) + 1\/11 sin(26 t + 14\/9) + 1\/13 sin(27 t + 34\/35) + 1\/7 sin(28 t + 15\/11) + 1\/49 sin(30 t + 70\/23) + 1\/19 sin(31 t + 5\/6) + 1\/9 sin(32 t + 7\/5) + 1\/30 sin(33 t + 14\/3) - 727\/10) theta(51 pi - t) theta(t - 47 pi) + (-1\/35 sin(20\/13 - 19 t) - 1\/23 sin(14\/9 - 13 t) - 1\/22 sin(17\/11 - 11 t) - 1\/42 sin(13\/9 - 7 t) - 1\/5 sin(17\/11 - 5 t) + 3\/8 sin(t + 14\/9) + 56\/13 sin(2 t + 11\/7) + 2\/9 sin(3 t + 20\/13) + 3\/2 sin(4 t + 11\/7) + 1\/4 sin(6 t + 14\/9) + 1\/13 sin(8 t + 20\/13) + 1\/8 sin(9 t + 14\/9) + 2\/9 sin(10 t + 14\/9) + 1\/8 sin(12 t + 11\/7) + 1\/34 sin(14 t + 14\/9) + 1\/28 sin(15 t + 17\/11) + 1\/17 sin(16 t + 17\/11) + 1\/48 sin(17 t + 3\/2) + 1\/18 sin(18 t + 14\/9) + 1\/32 sin(20 t + 14\/9) - 239\/8) theta(47 pi - t) theta(t - 43 pi) + (-1\/24 sin(17\/11 - 22 t) - 1\/54 sin(11\/7 - 15 t) - 1\/19 sin(14\/9 - 12 t) - 19\/13 sin(11\/7 - 5 t) - 217\/18 sin(11\/7 - t) + 28\/27 sin(2 t + 33\/7) + 1\/5 sin(3 t + 11\/7) + 1\/6 sin(4 t + 33\/7) + 1\/14 sin(6 t + 14\/3) + 4\/9 sin(7 t + 11\/7) + 1\/18 sin(8 t + 26\/17) + 1\/12 sin(9 t + 11\/7) + 1\/20 sin(10 t + 47\/10) + 1\/20 sin(11 t + 11\/7) + 3\/14 sin(13 t + 11\/7) + 1\/39 sin(14 t + 17\/11) + 1\/21 sin(16 t + 47\/10) + 1\/11 sin(17 t + 11\/7) + 1\/80 sin(18 t + 22\/15) + 1\/44 sin(19 t + 14\/9) + 1\/37 sin(20 t + 61\/13) + 1\/41 sin(21 t + 8\/5) + 1\/20 sin(23 t + 11\/7) + 1\/81 sin(25 t + 47\/10) - 107\/11) theta(43 pi - t) theta(t - 39 pi) + (-1\/36 sin(3\/2 - 25 t) - 1\/56 sin(10\/7 - 24 t) - 1\/82 sin(3\/2 - 23 t) - 1\/24 sin(3\/2 - 22 t) - 1\/36 sin(22\/15 - 20 t) - 1\/20 sin(14\/9 - 19 t) - 1\/10 sin(20\/13 - 17 t) - 1\/8 sin(14\/9 - 15 t) - 1\/12 sin(20\/13 - 13 t) - 1\/14 sin(3\/2 - 12 t) - 1\/9 sin(17\/11 - 11 t) - 1\/7 sin(23\/15 - 10 t) - 1\/13 sin(14\/9 - 9 t) - 1\/19 sin(37\/25 - 8 t) - 6\/19 sin(14\/9 - 7 t) - 5\/8 sin(14\/9 - 5 t) - 11\/6 sin(14\/9 - 3 t) - 17\/5 sin(11\/7 - 2 t) + 151\/25 sin(t + 11\/7) + 3\/13 sin(4 t + 17\/11) + 1\/15 sin(6 t + 20\/13) + 1\/20 sin(14 t + 17\/11) + 1\/12 sin(16 t + 11\/7) + 1\/52 sin(18 t + 37\/25) + 119\/9) theta(39 pi - t) theta(t - 35 pi) + (-1\/29 sin(37\/25 - 25 t) - 1\/59 sin(11\/8 - 24 t) - 1\/33 sin(14\/9 - 21 t) - 1\/10 sin(14\/9 - 14 t) - 3\/13 sin(3\/2 - 12 t) - 2\/7 sin(3\/2 - 11 t) - 2\/7 sin(29\/19 - 10 t) - 2\/7 sin(17\/11 - 9 t) - 5\/9 sin(17\/11 - 6 t) - 5\/4 sin(14\/9 - 5 t) - 24\/23 sin(14\/9 - 3 t) - 13\/7 sin(11\/7 - t) + sin(2 t + 11\/7) + 9\/17 sin(4 t + 11\/7) + 8\/11 sin(7 t + 8\/5) + 1\/5 sin(8 t + 8\/5) + 1\/8 sin(13 t + 19\/12) + 1\/32 sin(15 t + 13\/8) + 1\/8 sin(16 t + 27\/16) + 1\/9 sin(17 t + 23\/14) + 1\/7 sin(18 t + 5\/3) + 1\/9 sin(19 t + 5\/3) + 1\/77 sin(20 t + 14\/3) + 319\/40) theta(35 pi - t) theta(t - 31 pi) + (-1\/22 sin(14\/9 - 8 t) - 1\/19 sin(14\/9 - 7 t) - 1\/42 sin(14\/9 - 6 t) - 1\/30 sin(11\/7 - 5 t) - 4\/9 sin(11\/7 - t) + 1\/4 sin(2 t + 11\/7) + 3\/8 sin(3 t + 11\/7) + 1\/19 sin(4 t + 19\/12) + 32\/7) theta(31 pi - t) theta(t - 27 pi) + (-1\/41 sin(14\/9 - 8 t) - 1\/29 sin(14\/9 - 6 t) - 1\/54 sin(14\/9 - 5 t) - 1\/11 sin(11\/7 - 4 t) - 4\/11 sin(11\/7 - 2 t) + 5\/14 sin(t + 11\/7) + 1\/12 sin(3 t + 11\/7) + 45\/7) theta(27 pi - t) theta(t - 23 pi) + (-1\/65 sin(14\/9 - 17 t) - 1\/88 sin(14\/9 - 15 t) - 1\/35 sin(14\/9 - 11 t) - 1\/13 sin(11\/7 - 9 t) - 1\/11 sin(11\/7 - 7 t) - 41\/8 sin(11\/7 - t) + 3\/5 sin(2 t + 11\/7) + 1\/5 sin(3 t + 47\/10) + 5\/16 sin(4 t + 11\/7) + 1\/24 sin(5 t + 14\/3) + 1\/10 sin(6 t + 11\/7) + 1\/33 sin(12 t + 19\/12) + 1\/48 sin(14 t + 8\/5) + 126\/25) theta(23 pi - t) theta(t - 19 pi) + (-1\/64 sin(16\/11 - 28 t) - 1\/43 sin(11\/7 - 25 t) - 1\/9 sin(20\/13 - 23 t) - 1\/23 sin(14\/9 - 21 t) - 1\/11 sin(11\/7 - 11 t) - 5\/12 sin(11\/7 - 5 t) + 1\/85 sin(t + 13\/8) + 3\/5 sin(2 t + 11\/7) + 1\/4 sin(3 t + 33\/7) + 9\/11 sin(4 t + 11\/7) + 1\/3 sin(6 t + 11\/7) + 5\/16 sin(7 t + 8\/5) + 1\/17 sin(9 t + 18\/11) + 2\/7 sin(10 t + 19\/12) + 1\/9 sin(12 t + 8\/5) + 1\/18 sin(13 t + 13\/8) + 1\/21 sin(14 t + 8\/5) + 1\/84 sin(15 t + 23\/13) + 1\/41 sin(16 t + 14\/9) + 1\/63 sin(17 t + 61\/13) + 1\/72 sin(19 t + 18\/11) + 1\/13 sin(22 t + 8\/5) + 1\/17 sin(24 t + 8\/5) + 1\/48 sin(27 t + 17\/10) - 34\/3) theta(19 pi - t) theta(t - 15 pi) + (-1\/33 sin(14\/9 - 21 t) - 1\/67 sin(14\/9 - 20 t) - 1\/49 sin(14\/9 - 19 t) - 1\/32 sin(14\/9 - 17 t) - 1\/29 sin(11\/7 - 15 t) - 1\/31 sin(11\/7 - 11 t) - 1\/27 sin(14\/9 - 10 t) - 1\/6 sin(11\/7 - 9 t) - 1\/38 sin(20\/13 - 6 t) - 11\/9 sin(11\/7 - 3 t) - 9\/7 sin(11\/7 - 2 t) + 8\/11 sin(t + 11\/7) + 1\/18 sin(4 t + 47\/10) + 1\/36 sin(5 t + 8\/5) + 1\/33 sin(7 t + 33\/7) + 1\/29 sin(12 t + 11\/7) + 1\/43 sin(14 t + 11\/7) + 1\/65 sin(24 t + 11\/7) - 17\/2) theta(15 pi - t) theta(t - 11 pi) + (-1\/15 sin(16\/11 - 28 t) - 1\/13 sin(22\/15 - 25 t) - 1\/10 sin(3\/2 - 21 t) - 1\/45 sin(19\/14 - 18 t) - 1\/12 sin(3\/2 - 17 t) - 2\/9 sin(35\/23 - 14 t) - 1\/7 sin(20\/13 - 9 t) - 1\/11 sin(3\/2 - 8 t) - 3\/8 sin(14\/9 - 5 t) - 3\/8 sin(17\/11 - 4 t) - 9\/14 sin(11\/7 - 3 t) - 27\/10 sin(11\/7 - t) + 13\/11 sin(2 t + 11\/7) + 4\/13 sin(6 t + 8\/5) + 1\/19 sin(7 t + 23\/14) + 1\/7 sin(10 t + 13\/8) + 1\/6 sin(11 t + 13\/8) + 1\/13 sin(12 t + 32\/19) + 1\/7 sin(13 t + 8\/5) + 1\/10 sin(15 t + 13\/8) + 1\/9 sin(16 t + 5\/3) + 1\/43 sin(19 t + 7\/4) + 1\/43 sin(20 t + 11\/7) + 1\/17 sin(22 t + 13\/8) + 1\/36 sin(23 t + 9\/5) + 1\/25 sin(24 t + 13\/8) + 1\/18 sin(26 t + 17\/10) + 1\/17 sin(27 t + 22\/13) + 1\/25 sin(29 t + 23\/14) - 363\/52) theta(11 pi - t) theta(t - 7 pi) + (-1\/43 sin(29\/19 - 17 t) - 1\/9 sin(35\/23 - 16 t) - 1\/10 sin(17\/11 - 15 t) - 1\/7 sin(26\/17 - 13 t) - 1\/7 sin(14\/9 - 10 t) - 5\/11 sin(14\/9 - 8 t) - 3\/10 sin(14\/9 - 7 t) - 15\/14 sin(14\/9 - 6 t) - 1\/5 sin(11\/7 - 5 t) - 3\/10 sin(14\/9 - 3 t) - 17\/13 sin(11\/7 - t) + 13\/8 sin(2 t + 11\/7) + 9\/7 sin(4 t + 19\/12) + 1\/9 sin(12 t + 13\/8) + 1\/18 sin(14 t + 13\/8) + 1\/69 sin(18 t + 17\/11) + 1\/29 sin(19 t + 13\/8) + 1\/36 sin(20 t + 8\/5) + 1\/9 sin(21 t + 13\/8) - 2\/3) theta(7 pi - t) theta(t - 3 pi) + (-1\/15 sin(4\/5 - 23 t) - 1\/16 sin(14\/11 - 19 t) - 1\/17 sin(9\/13 - 16 t) - 1\/7 sin(11\/9 - 12 t) - 4\/7 sin(1\/20 - 6 t) - 17\/9 sin(4\/9 - 2 t) - 105\/8 sin(39\/40 - t) + 31\/12 sin(3 t + 47\/10) + 16\/9 sin(4 t + 18\/7) + 8\/7 sin(5 t + 31\/11) + 5\/9 sin(7 t + 5\/3) + 5\/8 sin(8 t + 39\/11) + 1\/24 sin(9 t + 23\/8) + 2\/11 sin(10 t + 15\/8) + 2\/7 sin(11 t + 19\/13) + 2\/11 sin(13 t + 4\/9) + 1\/6 sin(14 t + 61\/20) + 1\/18 sin(15 t + 15\/7) + 1\/6 sin(17 t + 5\/16) + 1\/11 sin(18 t + 51\/11) + 1\/44 sin(20 t + 11\/4) + 1\/23 sin(21 t + 5\/8) + 1\/14 sin(22 t + 41\/9) + 1\/23 sin(24 t + 46\/11) + 1\/30 sin(25 t + 17\/7) - 61\/7) theta(3 pi - t) theta(t + pi)) theta(sqrt(sgn(sin(t\/2))))


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