May 7, 2017
[A Place Called Home’s instagram]
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[A Place Called Home’s instagram]
[x]
league of SI superheroes curves - CANDELA
x(t) = ((-1/74 sin(35/23 - 34 t) - 1/38 sin(10/7 - 31 t) - 1/38 sin(22/15 - 30 t) - 1/43 sin(13/9 - 28 t) - 1/88 sin(13/9 - 27 t) - 1/41 sin(11/8 - 23 t) - 1/11 sin(23/15 - 22 t) - 1/9 sin(14/9 - 18 t) - 2/5 sin(17/11 - 14 t) - 1/3 sin(23/15 - 10 t) - 3/10 sin(26/17 - 7 t) - 93/46 sin(14/9 - 6 t) - 463/29 sin(11/7 - 2 t) + 33/13 sin(t + 11/7) + 7/10 sin(3 t + 20/13) + 18/11 sin(4 t + 8/5) + 4/11 sin(5 t + 3/2) + 2/9 sin(8 t + 13/8) + 2/5 sin(9 t + 8/5) + 3/11 sin(11 t + 8/5) + 1/6 sin(12 t + 17/10) + 4/13 sin(13 t + 8/5) + 1/73 sin(15 t + 1/14) + 1/28 sin(16 t + 17/9) + 1/5 sin(17 t + 13/8) + 1/19 sin(19 t + 19/12) + 1/8 sin(21 t + 28/17) + 1/14 sin(24 t + 19/11) + 1/11 sin(25 t + 5/3) + 1/63 sin(26 t + 13/7) + 1/25 sin(29 t + 27/16) + 1/68 sin(32 t + 23/13) + 1/37 sin(33 t + 21/13) - 37/9) θ(91 π - t) θ(t - 87 π) + (-1/40 sin(26/17 - 16 t) - 1/14 sin(17/11 - 13 t) - 1/35 sin(23/15 - 11 t) - 1/10 sin(14/9 - 10 t) - 1/39 sin(17/11 - 8 t) - 1/54 sin(29/19 - 6 t) - 3/10 sin(14/9 - 5 t) - 4/9 sin(11/7 - 3 t) - 38/15 sin(11/7 - 2 t) + 48/11 sin(t + 11/7) + 5/6 sin(4 t + 11/7) + 3/13 sin(7 t + 19/12) + 1/25 sin(12 t + 8/5) + 1/27 sin(15 t + 21/13) + 933/5) θ(87 π - t) θ(t - 83 π) + (-1/70 sin(28/19 - 9 t) + 55/13 sin(t + 11/7) + 4 sin(2 t + 11/7) + 11/9 sin(3 t + 11/7) + 3/4 sin(4 t + 11/7) + 1/5 sin(5 t + 11/7) + 5/13 sin(6 t + 11/7) + 3/10 sin(7 t + 19/12) + 2/9 sin(8 t + 11/7) + 1/48 sin(10 t + 20/13) + 1/18 sin(11 t + 19/12) + 1/10 sin(12 t + 19/12) + 1/21 sin(13 t + 19/12) + 481/8) θ(83 π - t) θ(t - 79 π) + (94/17 sin(t + 11/7) + 9/14 sin(2 t + 19/12) + 3/10 sin(3 t + 19/12) + 2/9 sin(4 t + 19/12) - 617/13) θ(79 π - t) θ(t - 75 π) + (-1/16 sin(11/7 - 7 t) + 19/9 sin(t + 33/7) + 4/3 sin(2 t + 11/7) + 5/12 sin(3 t + 11/7) + 2/5 sin(4 t + 11/7) + 1/30 sin(5 t + 47/10) + 1/96 sin(6 t + 8/5) + 1/16 sin(8 t + 11/7) + 1/26 sin(9 t + 19/12) + 1/14 sin(10 t + 11/7) - 1376/17) θ(75 π - t) θ(t - 71 π) + (-1/12 sin(14/9 - 12 t) - 7/3 sin(11/7 - 2 t) - 109/36 sin(11/7 - t) + 15/16 sin(3 t + 11/7) + 1/6 sin(4 t + 33/7) + 2/11 sin(5 t + 11/7) + 1/13 sin(6 t + 19/12) + 1/7 sin(7 t + 11/7) + 1/38 sin(8 t + 33/7) + 1/47 sin(9 t + 11/7) + 1/20 sin(10 t + 33/7) + 1/39 sin(11 t + 17/11) - 667/9) θ(71 π - t) θ(t - 67 π) + (-7/12 sin(3/2 - 11 t) - 1/9 sin(17/11 - 9 t) - 7/11 sin(14/9 - 8 t) - 17/7 sin(11/7 - 5 t) - 47/7 sin(11/7 - t) + 3 sin(2 t + 19/12) + 3 sin(3 t + 8/5) + 19/6 sin(4 t + 8/5) + 1/5 sin(6 t + 4/3) + 1/10 sin(7 t + 11/8) + 1/8 sin(10 t + 13/10) + 1/7 sin(12 t + 8/5) - 607/7) θ(67 π - t) θ(t - 63 π) + (-2/9 sin(17/11 - 4 t) - 7/6 sin(11/7 - 3 t) - 28/19 sin(11/7 - 2 t) + 262/87 sin(t + 11/7) + 7/11 sin(6 t + 19/12) - 232/3) θ(63 π - t) θ(t - 59 π) + (261/8 sin(t + 11/7) + 191/9 sin(2 t + 11/7) + 29/11 sin(3 t + 8/5) + 69/14 sin(4 t + 19/12) + 6/17 sin(5 t + 18/11) + 1/7 sin(6 t + 47/10) + 8/5 sin(7 t + 8/5) + 7/10 sin(8 t + 18/11) + 24/25 sin(9 t + 8/5) + 6/17 sin(10 t + 33/7) + 7/11 sin(11 t + 13/8) + 1/4 sin(12 t + 8/5) + 1/10 sin(13 t + 13/8) + 3/7 sin(14 t + 13/8) + 1/8 sin(15 t + 17/10) + 1/10 sin(16 t + 8/5) + 1/15 sin(17 t + 13/8) + 3/11 sin(18 t + 5/3) + 1/8 sin(19 t + 22/13) + 1/36 sin(20 t + 27/16) + 1/62 sin(21 t + 15/8) - 663/8) θ(59 π - t) θ(t - 55 π) + (-1/7 sin(6/13 - 15 t) - 2/13 sin(13/14 - 14 t) - 1/2 sin(5/9 - 12 t) - 7/11 sin(8/9 - 9 t) - 18/7 sin(28/19 - 6 t) + 153/13 sin(t + 19/9) + 7/9 sin(2 t + 25/14) + 36/7 sin(3 t + 8/5) + 2/9 sin(4 t + 76/17) + 27/13 sin(5 t + 9/8) + 6/7 sin(7 t + 51/11) + 7/11 sin(8 t + 75/19) + 2/7 sin(10 t + 5/14) + 5/7 sin(11 t + 6/7) + 3/8 sin(13 t + 17/8) + 6/11 sin(16 t + 26/7) + 2/7 sin(17 t + 7/4) + 1211/9) θ(55 π - t) θ(t - 51 π) + (-3/8 sin(1/3 - 24 t) - 3/5 sin(49/50 - 23 t) - 11/9 sin(4/5 - 13 t) - 53/35 sin(1/20 - 12 t) - 178/11 sin(1/10 - 3 t) + 424/7 sin(t + 2/5) + 179/6 sin(2 t + 47/10) + 23/6 sin(4 t + 10/13) + 33/13 sin(5 t + 15/8) + 53/15 sin(6 t + 11/9) + 2 sin(7 t + 40/13) + 35/18 sin(8 t + 65/14) + 23/17 sin(9 t + 37/13) + 14/15 sin(10 t + 22/13) + 7/9 sin(11 t + 26/7) + 23/24 sin(14 t + 10/7) + 5/9 sin(15 t + 10/3) + 1/2 sin(16 t + 7/6) + 2/7 sin(17 t + 13/12) + 1/3 sin(18 t + 16/9) + 9/10 sin(19 t + 37/10) + 2/11 sin(20 t + 22/9) + 1/4 sin(21 t + 13/5) + 1/2 sin(22 t + 6/7) + 3/8 sin(25 t + 33/8) + 341/7) θ(51 π - t) θ(t - 47 π) + (-1/17 sin(7/5 - 28 t) - 1/12 sin(94/93 - 27 t) - 1/9 sin(6/7 - 25 t) - 1/7 sin(17/14 - 15 t) - 1/8 sin(5/4 - 12 t) - 1/4 sin(1/4 - 11 t) - 2/7 sin(11/13 - 9 t) + 145/8 sin(t + 14/13) + 9/4 sin(2 t + 16/5) + 20/9 sin(3 t + 15/7) + 7/5 sin(4 t + 10/7) + 9/14 sin(5 t + 10/11) + 3/8 sin(6 t + 7/11) + 1/2 sin(7 t + 5/3) + 4/7 sin(8 t + 5/14) + 1/11 sin(10 t + 53/16) + 3/13 sin(13 t + 33/8) + 1/5 sin(14 t + 27/10) + 1/4 sin(16 t + 42/13) + 1/7 sin(17 t + 5/3) + 1/6 sin(18 t + 36/13) + 1/7 sin(19 t + 12/7) + 1/9 sin(20 t + 46/15) + 2/13 sin(21 t + 10/7) + 1/7 sin(22 t + 4/7) + 1/15 sin(23 t + 11/5) + 1/12 sin(24 t + 13/8) + 1/13 sin(26 t + 40/9) + 1/11 sin(29 t + 33/7) + 233/4) θ(47 π - t) θ(t - 43 π) + (-1/7 sin(2/3 - 23 t) - 2/9 sin(17/12 - 22 t) - 3/11 sin(1/16 - 21 t) - 1/4 sin(4/3 - 15 t) - 13/25 sin(1/34 - 13 t) - 123/7 sin(5/6 - 2 t) + 421/9 sin(t + 24/7) + 13/7 sin(3 t + 20/21) + 50/9 sin(4 t + 35/12) + 11/5 sin(5 t + 18/7) + 43/42 sin(6 t + 7/11) + 5/6 sin(7 t + 4/11) + 25/19 sin(8 t + 33/7) + 1/30 sin(9 t + 36/13) + 19/9 sin(10 t + 10/11) + 5/8 sin(11 t + 3/11) + 1/14 sin(12 t + 7/5) + 8/15 sin(14 t + 9/4) + 1/7 sin(16 t + 2/7) + 4/7 sin(17 t + 1/6) + 4/9 sin(18 t + 23/6) + 2/13 sin(19 t + 1/6) + 1/2 sin(20 t + 9/7) - 26/11) θ(43 π - t) θ(t - 39 π) + (-1/7 sin(2/3 - 34 t) - 1/6 sin(2/7 - 32 t) - 1/3 sin(1/6 - 28 t) - 11/23 sin(13/9 - 13 t) - 91/6 sin(9/7 - 2 t) + 361/7 sin(t + 12/7) + 27/8 sin(3 t + 51/14) + 79/15 sin(4 t + 56/13) + 12/5 sin(5 t + 48/13) + 8/3 sin(6 t + 43/10) + 8/7 sin(7 t + 19/6) + 9/10 sin(8 t + 47/11) + 9/7 sin(9 t + 12/11) + 10/11 sin(10 t + 4/9) + 12/13 sin(11 t + 1/10) + 13/19 sin(12 t + 48/11) + 13/10 sin(14 t + 47/12) + 1/7 sin(15 t + 45/23) + 5/14 sin(16 t + 19/6) + 2/3 sin(17 t + 25/11) + 7/12 sin(18 t + 15/4) + 4/15 sin(19 t + 19/9) + 4/9 sin(20 t + 35/8) + 1/2 sin(21 t + 24/11) + 4/11 sin(22 t + 61/15) + 1/5 sin(23 t + 23/14) + 2/11 sin(24 t + 47/14) + 5/7 sin(25 t + 12/5) + 2/9 sin(26 t + 14/9) + 1/5 sin(27 t + 16/13) + 1/38 sin(29 t + 130/43) + 1/9 sin(30 t + 49/12) + 1/10 sin(31 t + 17/11) + 1/10 sin(33 t + 1) + 503/4) θ(39 π - t) θ(t - 35 π) + (-1/7 sin(1/93 - 28 t) - 5/12 sin(7/9 - 25 t) - 3/5 sin(1 - 24 t) - 3/7 sin(6/7 - 23 t) - 2/3 sin(43/42 - 18 t) - 5/12 sin(1/3 - 11 t) - 33/32 sin(4/11 - 10 t) - 23/10 sin(8/11 - 4 t) + 155/7 sin(t + 29/15) + 47/6 sin(2 t + 11/3) + 21/5 sin(3 t + 10/7) + 10/7 sin(5 t + 10/7) + 3/4 sin(6 t + 16/17) + 3/2 sin(7 t + 11/9) + 5/8 sin(8 t + 111/28) + 15/16 sin(9 t + 10/7) + 8/15 sin(12 t + 39/20) + 11/7 sin(13 t + 14/11) + 1/8 sin(14 t + 49/15) + 1/2 sin(15 t + 29/9) + 3/5 sin(16 t + 11/7) + 11/9 sin(17 t + 2/9) + 8/9 sin(19 t + 110/37) + 12/11 sin(20 t + 13/5) + 5/16 sin(21 t + 13/7) + 4/11 sin(22 t + 76/17) + 2/9 sin(26 t + 23/17) + 9/19 sin(27 t + 7/10) + 1/8 sin(29 t + 53/12) + 2/9 sin(30 t + 21/8) + 3/11 sin(31 t + 13/6) + 1/6 sin(32 t + 24/7) + 3/14 sin(33 t + 30/7) + 1/9 sin(34 t + 17/5) + 1/8 sin(35 t + 1) + 809/4) θ(35 π - t) θ(t - 31 π) + (-1/17 sin(1/5 - 24 t) - 4/11 sin(19/20 - 16 t) - 19/20 sin(14/11 - 14 t) - 2 sin(14/9 - 5 t) - 32/13 sin(13/10 - 4 t) + 514/7 sin(t + 17/8) + 206/9 sin(2 t + 67/17) + 58/5 sin(3 t + 32/13) + 30/7 sin(6 t + 86/19) + 17/10 sin(7 t + 45/17) + 19/20 sin(8 t + 12/11) + 7/4 sin(9 t + 2/3) + 6/7 sin(10 t + 23/5) + 21/16 sin(11 t + 171/85) + 8/17 sin(12 t + 28/17) + 11/13 sin(13 t + 15/14) + 1/5 sin(15 t + 17/5) + 1/9 sin(17 t + 38/9) + 3/10 sin(18 t + 29/7) + 3/7 sin(19 t + 7/5) + 3/10 sin(20 t + 7/9) + 1/6 sin(21 t + 11/10) + 3/10 sin(22 t + 39/10) + 1/12 sin(23 t + 44/15) + 1/5 sin(25 t + 3/8) + 6/19 sin(26 t + 33/8) + 1/7 sin(27 t + 51/13) + 2/5 sin(28 t + 30/7) + 1869/11) θ(31 π - t) θ(t - 27 π) + (-2/9 sin(1/5 - 20 t) - 2/3 sin(1/5 - 11 t) - 7/13 sin(15/11 - 9 t) - 19/6 sin(11/8 - 4 t) - 43/3 sin(7/8 - 3 t) - 19/3 sin(38/37 - t) + 141/8 sin(2 t + 17/5) + 55/8 sin(5 t + 27/8) + 17/6 sin(6 t + 13/9) + 10/9 sin(7 t + 85/42) + 8/5 sin(8 t + 19/10) + 14/9 sin(10 t + 13/9) + 14/11 sin(12 t + 32/9) + 9/11 sin(13 t + 17/6) + 4/5 sin(14 t + 17/9) + 7/9 sin(15 t + 4/5) + 1/7 sin(16 t + 43/16) + 9/14 sin(17 t + 4) + 1/4 sin(18 t + 81/23) + 10/19 sin(19 t + 3/5) + 1/5 sin(21 t + 25/26) + 1/2 sin(22 t + 41/20) + 1/4 sin(23 t + 22/9) + 2/7 sin(24 t + 23/7) + 1/12 sin(25 t + 9/4) + 2/13 sin(26 t + 31/9) + 3/10 sin(27 t + 62/21) + 1/6 sin(28 t + 43/11) + 3/10 sin(29 t + 45/11) + 1/34 sin(30 t + 17/7) + 1/9 sin(31 t + 27/10) - 373/7) θ(27 π - t) θ(t - 23 π) + (-3/10 sin(5/7 - 12 t) - 1/6 sin(1/7 - 11 t) - 19/9 sin(9/11 - 5 t) + 291/10 sin(t + 56/15) + 38/15 sin(2 t + 31/8) + 26/9 sin(3 t + 5/4) + 5/3 sin(4 t + 19/7) + 2/3 sin(6 t + 26/17) + 6/11 sin(7 t + 68/15) + 4/13 sin(8 t + 25/7) + 2/7 sin(9 t + 1/33) + 12/25 sin(10 t + 13/5) + 2/11 sin(13 t + 25/7) + 1/8 sin(14 t + 39/11) + 2/11 sin(15 t + 21/16) + 1/9 sin(16 t + 8/15) + 1/8 sin(17 t + 75/16) + 1/5 sin(18 t + 43/17) + 17/3) θ(23 π - t) θ(t - 19 π) + (-147/11 sin(3/2 - 2 t) + 80/11 sin(t + 47/13) + 1220/37 sin(3 t + 12/7) + 57/8 sin(4 t + 21/13) + 25/13 sin(5 t + 35/12) + 25/11 sin(6 t + 29/11) + 4/9 sin(7 t + 21/16) + 13/11 sin(8 t + 75/16) + 7/6 sin(9 t + 33/16) + 6/5 sin(10 t + 12/7) + 5/9 sin(11 t + 10/7) + 13/10 sin(12 t + 24/7) + 5/12 sin(13 t + 28/13) + 4/11 sin(14 t + 7/2) + 5/9 sin(15 t + 46/15) + 1/9 sin(16 t + 7/5) + 9/11 sin(17 t + 13/8) + 4/9 sin(18 t + 73/18) + 1/4 sin(19 t + 45/11) + 4/15 sin(20 t + 11/7) + 3/8 sin(21 t + 7/2) + 9/19 sin(22 t + 33/7) + 4/9 sin(23 t + 25/14) + 1/5 sin(24 t + 26/9) + 3/13 sin(25 t + 67/15) + 1/7 sin(26 t + 23/24) + 1/12 sin(27 t + 41/14) - 445/7) θ(19 π - t) θ(t - 15 π) + (-2/5 sin(1/8 - 5 t) - 27/11 sin(2/3 - 4 t) + 261/26 sin(t + 7/9) + 176/17 sin(2 t + 23/9) + 16/7 sin(3 t + 7/6) - 438/13) θ(15 π - t) θ(t - 11 π) + (45/8 sin(t + 5/9) + 12/7 sin(2 t + 5/11) + 4/7 sin(3 t + 18/5) - 960/11) θ(11 π - t) θ(t - 7 π) + (-2/11 sin(23/15 - 8 t) + 61/8 sin(t + 31/9) + 23/9 sin(2 t + 74/21) + 11/9 sin(3 t + 11/7) + 3/10 sin(4 t + 147/37) + 2/3 sin(5 t + 3/5) + 3/8 sin(6 t + 35/8) + 2/13 sin(7 t + 7/5) + 1/5 sin(9 t + 27/16) - 976/11) θ(7 π - t) θ(t - 3 π) + (-3/10 sin(8/7 - 39 t) - 16/31 sin(13/10 - 33 t) - 1/5 sin(2/3 - 26 t) - 10/9 sin(10/9 - 25 t) - 10/13 sin(1/6 - 24 t) - 11/16 sin(9/14 - 15 t) - 10/7 sin(5/11 - 12 t) - 71/13 sin(10/7 - 6 t) - 69/7 sin(11/17 - 5 t) - 522/7 sin(1/34 - t) + 73/2 sin(2 t + 8/3) + 173/8 sin(3 t + 1/19) + 77/10 sin(4 t + 9/11) + 67/8 sin(7 t + 33/10) + 24/7 sin(8 t + 13/11) + 4/3 sin(9 t + 7/8) + 34/13 sin(10 t + 50/11) + 13/8 sin(11 t + 47/19) + 16/13 sin(13 t + 43/11) + 7/6 sin(14 t + 36/35) + 2/9 sin(16 t + 14/3) + 14/9 sin(17 t + 19/9) + 12/11 sin(18 t + 3/4) + 6/7 sin(19 t + 13/4) + 3/5 sin(20 t + 7/5) + 1/4 sin(21 t + 13/9) + 7/10 sin(22 t + 47/10) + 14/11 sin(23 t + 53/13) + 7/9 sin(27 t + 13/11) + 10/13 sin(28 t + 19/18) + 8/13 sin(29 t + 116/39) + 8/15 sin(30 t + 19/11) + 1/5 sin(31 t + 21/11) + 9/19 sin(32 t + 44/13) + 2/3 sin(34 t + 1/15) + 5/11 sin(35 t + 41/20) + 1/3 sin(36 t + 31/11) + 4/11 sin(37 t + 18/5) + 1/8 sin(38 t + 30/7) + 1/8 sin(40 t + 21/20) - 112/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2)))) y(t) = ((-1/19 sin(13/10 - 35 t) - 1/18 sin(7/5 - 34 t) - 1/16 sin(11/8 - 32 t) - 1/11 sin(19/13 - 31 t) - 1/15 sin(14/9 - 29 t) - 1/7 sin(31/21 - 27 t) - 1/14 sin(11/8 - 26 t) - 1/14 sin(7/5 - 25 t) - 1/6 sin(16/11 - 24 t) - 1/17 sin(4/3 - 23 t) - 1/48 sin(22/15 - 22 t) - 1/13 sin(3/2 - 15 t) - 1/3 sin(17/11 - 12 t) - 3/10 sin(29/19 - 11 t) - 3/11 sin(20/13 - 10 t) - 25/11 sin(11/7 - 3 t) - 51/10 sin(14/9 - 2 t) + 22/7 sin(t + 11/7) + 35/8 sin(4 t + 19/12) + 4/7 sin(5 t + 23/14) + 27/10 sin(6 t + 8/5) + 1/6 sin(7 t + 20/11) + 16/13 sin(8 t + 8/5) + 4/9 sin(9 t + 18/11) + 1/13 sin(13 t + 20/13) + 1/23 sin(14 t + 12/7) + 1/16 sin(16 t + 11/7) + 1/46 sin(17 t + 13/6) + 2/13 sin(18 t + 8/5) + 1/12 sin(19 t + 47/10) + 1/9 sin(20 t + 13/8) + 1/39 sin(21 t + 23/14) + 1/12 sin(28 t + 14/9) + 1/18 sin(30 t + 14/9) + 1/67 sin(33 t + 7/5) + 642/11) θ(91 π - t) θ(t - 87 π) + (-1/8 sin(14/9 - 9 t) - 1/5 sin(14/9 - 7 t) - 9/10 sin(11/7 - 5 t) - 31/14 sin(11/7 - 3 t) - 5/7 sin(14/9 - 2 t) - 237/13 sin(11/7 - t) + 6/11 sin(4 t + 14/9) + 1/12 sin(6 t + 14/9) + 1/14 sin(8 t + 11/7) + 1/9 sin(10 t + 19/12) + 1/18 sin(11 t + 65/14) + 1/7 sin(12 t + 11/7) + 1/20 sin(13 t + 47/10) + 1/9 sin(14 t + 11/7) + 1/37 sin(15 t + 8/5) + 1/13 sin(16 t + 21/13) - 998/11) θ(87 π - t) θ(t - 83 π) + (-1/8 sin(14/9 - 13 t) - 2/11 sin(11/7 - 11 t) - 3/11 sin(14/9 - 9 t) - 6/19 sin(11/7 - 7 t) - 5/7 sin(11/7 - 5 t) - 177/8 sin(11/7 - t) + 6/5 sin(2 t + 11/7) + 17/9 sin(3 t + 33/7) + 4/11 sin(4 t + 14/9) + 1/5 sin(6 t + 14/9) + 1/11 sin(8 t + 19/12) + 1/40 sin(12 t + 8/5) - 277/9) θ(83 π - t) θ(t - 79 π) + (53/26 sin(t + 11/7) + 87/86 sin(2 t + 33/7) + 4/7 sin(3 t + 11/7) + 1/4 sin(4 t + 33/7) + 681/4) θ(79 π - t) θ(t - 75 π) + (-1/21 sin(11/7 - 5 t) - 1/32 sin(11/7 - 4 t) + 1/89 sin(t + 11/7) + 2/13 sin(2 t + 11/7) + 1/72 sin(7 t + 11/7) + 1/40 sin(8 t + 11/7) + 810/7) θ(75 π - t) θ(t - 71 π) + (-1/71 sin(32/21 - 14 t) - 1/26 sin(14/9 - 13 t) - 1/38 sin(14/9 - 11 t) - 1/42 sin(14/9 - 10 t) - 1/4 sin(11/7 - 7 t) - 1/8 sin(11/7 - 6 t) - 3/10 sin(11/7 - 5 t) - 3/8 sin(11/7 - 4 t) - 11/16 sin(11/7 - 3 t) - 71/14 sin(11/7 - t) + 6/13 sin(2 t + 11/7) + 1/17 sin(9 t + 47/10) + 1/68 sin(12 t + 11/7) + 1235/11) θ(71 π - t) θ(t - 67 π) + (-5/11 sin(11/7 - 7 t) - 72/13 sin(14/9 - 3 t) - 5/8 sin(10/7 - 2 t) - 247/20 sin(11/7 - t) + 19/13 sin(4 t + 11/7) + 21/20 sin(5 t + 8/5) + 3/8 sin(8 t + 14/9) + 1/9 sin(9 t + 55/12) + 1/3 sin(10 t + 22/13) + 5/16 sin(11 t + 22/13) + 3/11 sin(12 t + 5/3) + 632/5) θ(67 π - t) θ(t - 63 π) + (-1/11 sin(14/9 - 7 t) - 1/4 sin(17/11 - 6 t) - 5/8 sin(11/7 - 5 t) + 34/11 sin(t + 33/7) + 17/10 sin(2 t + 11/7) + 3/7 sin(3 t + 11/7) + 2083/12) θ(63 π - t) θ(t - 59 π) + (-1/14 sin(22/15 - 19 t) - 1/7 sin(17/11 - 17 t) - 3/8 sin(17/11 - 11 t) - 15/11 sin(14/9 - 5 t) - 609/11 sin(11/7 - t) + 84/5 sin(2 t + 11/7) + 27/16 sin(3 t + 28/17) + 30/7 sin(4 t + 19/12) + 8/15 sin(6 t + 17/11) + 15/16 sin(7 t + 33/7) + 16/11 sin(8 t + 8/5) + 3/7 sin(9 t + 51/11) + 9/13 sin(10 t + 14/9) + 5/14 sin(12 t + 13/8) + 1/6 sin(13 t + 32/7) + 2/7 sin(14 t + 3/2) + 1/25 sin(15 t + 35/8) + 1/7 sin(16 t + 11/7) + 2/11 sin(18 t + 17/10) + 1/11 sin(20 t + 11/8) + 1/11 sin(21 t + 77/17) + 1081/11) θ(59 π - t) θ(t - 55 π) + (-2/7 sin(3/7 - 16 t) - 13/14 sin(4/3 - 15 t) - 3/8 sin(4/7 - 8 t) - 42/11 sin(11/10 - 7 t) + 2727/47 sin(t + 63/16) + 74/15 sin(2 t + 19/11) + 191/24 sin(3 t + 13/6) + 75/13 sin(4 t + 29/10) + 11/7 sin(5 t + 2/7) + 11/21 sin(6 t + 47/13) + 2/7 sin(9 t + 3/4) + 34/33 sin(10 t + 18/11) + 5/6 sin(11 t + 7/8) + 5/4 sin(12 t + 193/64) + 6/11 sin(13 t + 37/9) + 8/15 sin(14 t + 21/11) + 1/5 sin(17 t + 29/9) - 1879/7) θ(55 π - t) θ(t - 51 π) + (-1/16 sin(2/7 - 23 t) - 6/7 sin(9/14 - 14 t) - 94/3 sin(9/7 - t) + 331/8 sin(2 t + 8/3) + 131/10 sin(3 t + 6/7) + 49/4 sin(4 t + 6/7) + 71/36 sin(5 t + 47/23) + 110/13 sin(6 t + 7/11) + 45/8 sin(7 t + 53/21) + 76/13 sin(8 t + 37/12) + 38/11 sin(9 t + 9/2) + 11/8 sin(10 t + 7/5) + 12/7 sin(11 t + 13/12) + 5/11 sin(12 t + 13/8) + 12/13 sin(13 t + 76/17) + 3/5 sin(15 t + 25/9) + 15/14 sin(16 t + 27/11) + 1/3 sin(17 t + 1/7) + 7/8 sin(18 t + 12/7) + 1/3 sin(19 t + 12/5) + 1/2 sin(20 t + 30/7) + 2/5 sin(21 t + 17/4) + 3/10 sin(22 t + 30/7) + 12/25 sin(24 t + 29/28) + 2/9 sin(25 t + 4/5) - 2245/16) θ(51 π - t) θ(t - 47 π) + (-1/52 sin(1/10 - 29 t) - 1/30 sin(5/9 - 27 t) - 1/24 sin(1 - 24 t) - 1/50 sin(2/5 - 21 t) - 1/7 sin(6/13 - 14 t) - 1/9 sin(10/7 - 11 t) - 1/6 sin(2/5 - 10 t) - 1/9 sin(5/12 - 8 t) - 180/11 sin(6/7 - t) + 8/3 sin(2 t + 33/14) + 4/5 sin(3 t + 57/14) + 7/8 sin(4 t + 9/5) + 1/14 sin(5 t + 2/3) + 10/19 sin(6 t + 13/12) + 1/13 sin(7 t + 2/7) + 2/11 sin(9 t + 10/11) + 2/13 sin(12 t + 13/7) + 1/5 sin(13 t + 7/13) + 1/15 sin(15 t + 23/5) + 1/16 sin(16 t + 22/9) + 1/17 sin(17 t + 8/5) + 1/28 sin(18 t + 9/17) + 1/23 sin(19 t + 3/5) + 1/31 sin(20 t + 11/9) + 1/22 sin(22 t + 29/13) + 1/17 sin(23 t + 1/3) + 1/44 sin(25 t + 29/8) + 1/64 sin(26 t + 18/7) + 1/77 sin(28 t + 157/39) + 281/9) θ(47 π - t) θ(t - 43 π) + (-2/5 sin(28/19 - 22 t) - 2/7 sin(1/10 - 21 t) - 1/4 sin(7/5 - 16 t) - 19/14 sin(1 - 10 t) - 7/4 sin(2/3 - 8 t) - 4/3 sin(1/6 - 6 t) - 248/11 sin(11/17 - 2 t) + 329/6 sin(t + 1/8) + 34/5 sin(3 t + 37/15) + 69/16 sin(4 t + 43/14) + 15/8 sin(5 t + 11/6) + 16/13 sin(7 t + 45/13) + 53/27 sin(9 t + 17/9) + 14/11 sin(11 t + 4/3) + 3/5 sin(12 t + 30/7) + 1/10 sin(13 t + 59/13) + 3/7 sin(14 t + 27/8) + 5/16 sin(15 t + 15/7) + 3/11 sin(17 t + 23/17) + 2/7 sin(18 t + 23/6) + 6/17 sin(19 t + 4/5) + 1/8 sin(20 t + 3/7) + 1/8 sin(23 t + 14/9) - 273/10) θ(43 π - t) θ(t - 39 π) + (-6/17 sin(1/9 - 28 t) - 3/8 sin(17/13 - 23 t) - 3/11 sin(15/11 - 22 t) - 5/8 sin(9/8 - 15 t) - 7/11 sin(17/11 - 13 t) - 20/19 sin(11/10 - 11 t) + 182/5 sin(t + 53/12) + 139/9 sin(2 t + 13/7) + 29/5 sin(3 t + 37/11) + 17/5 sin(4 t + 79/39) + 47/16 sin(5 t + 2/5) + 42/13 sin(6 t + 6/5) + 11/7 sin(7 t + 9/4) + 31/13 sin(8 t + 33/10) + 13/7 sin(9 t + 31/8) + 14/15 sin(10 t + 91/23) + 3/10 sin(12 t + 83/21) + 7/9 sin(14 t + 4) + 2/5 sin(16 t + 9/7) + 6/17 sin(17 t + 13/11) + 1/9 sin(18 t + 23/14) + 1/8 sin(19 t + 35/13) + 1/23 sin(20 t + 3/13) + 1/6 sin(21 t + 76/25) + 3/10 sin(24 t + 5/6) + 1/9 sin(25 t + 12/13) + 3/14 sin(26 t + 12/5) + 1/20 sin(27 t + 4/13) + 1/7 sin(29 t + 84/83) + 1/5 sin(30 t + 89/88) + 3/11 sin(31 t + 58/19) + 1/6 sin(32 t + 13/8) + 1/8 sin(33 t + 32/9) + 1/8 sin(34 t + 27/8) - 380/7) θ(39 π - t) θ(t - 35 π) + (-1/5 sin(20/13 - 31 t) - 1/8 sin(11/12 - 30 t) - 1/13 sin(14/13 - 26 t) - 1/8 sin(7/12 - 24 t) - 16/11 sin(9/7 - 16 t) - 8/5 sin(10/11 - 12 t) + 443/10 sin(t + 112/25) + 364/33 sin(2 t + 14/9) + 103/12 sin(3 t + 17/4) + 42/17 sin(4 t + 3/4) + 5/16 sin(5 t + 17/6) + 3/7 sin(6 t + 33/17) + 21/10 sin(7 t + 23/6) + 13/11 sin(8 t + 1/5) + 3/10 sin(9 t + 50/11) + 7/9 sin(10 t + 30/7) + 19/12 sin(11 t + 14/3) + 3/7 sin(13 t + 25/8) + 6/5 sin(14 t + 35/12) + 2/3 sin(15 t + 11/3) + 8/9 sin(17 t + 50/11) + 6/19 sin(18 t + 47/11) + 1/2 sin(19 t + 32/9) + 8/15 sin(20 t + 23/7) + 7/10 sin(21 t + 21/11) + 6/7 sin(22 t + 9/8) + 10/13 sin(23 t + 7/13) + 2/9 sin(25 t + 5/3) + 3/13 sin(27 t + 48/11) + 3/10 sin(28 t + 41/9) + 3/11 sin(29 t + 32/7) + 1/8 sin(32 t + 46/13) + 3/13 sin(33 t + 3/11) + 1/6 sin(34 t + 7/11) + 1/14 sin(35 t + 17/8) - 609/4) θ(35 π - t) θ(t - 31 π) + (-1/13 sin(1/14 - 24 t) - 3/11 sin(34/35 - 23 t) - 1/6 sin(2/11 - 22 t) - 4/13 sin(1/7 - 19 t) - 2/5 sin(14/11 - 15 t) - 1/8 sin(1/10 - 14 t) - 3/10 sin(1/59 - 13 t) - 7/8 sin(3/10 - 7 t) - 75/8 sin(5/4 - 3 t) - 219/19 sin(1/7 - 2 t) + 301/6 sin(t + 22/5) + 141/35 sin(4 t + 56/15) + 31/9 sin(5 t + 77/26) + 25/8 sin(6 t + 4/3) + 6/7 sin(8 t + 39/11) + 12/11 sin(9 t + 48/13) + 5/4 sin(10 t + 11/4) + 9/8 sin(11 t + 1) + 7/10 sin(12 t + 3/11) + 2/7 sin(16 t + 11/5) + 1/10 sin(17 t + 35/12) + 1/9 sin(18 t + 5/2) + 2/9 sin(20 t + 34/9) + 2/7 sin(21 t + 111/55) + 1/12 sin(25 t + 5/7) + 1/4 sin(26 t + 43/14) + 1/5 sin(27 t + 29/9) + 1/6 sin(28 t + 56/13) - 215/8) θ(31 π - t) θ(t - 27 π) + (-1/6 sin(16/17 - 28 t) - 8/25 sin(2/9 - 21 t) - 4/13 sin(1/5 - 20 t) - 2/7 sin(2/11 - 19 t) - 5/11 sin(14/15 - 18 t) - 11/10 sin(8/7 - 17 t) - 5/6 sin(1/2 - 16 t) - 151/12 sin(3/2 - 3 t) + 423/13 sin(t + 47/11) + 301/20 sin(2 t + 29/15) + 46/9 sin(4 t + 2/3) + 41/10 sin(5 t + 23/8) + 83/15 sin(6 t + 22/7) + 31/12 sin(7 t + 185/46) + 7/11 sin(8 t + 20/13) + 11/7 sin(9 t + 11/15) + 17/7 sin(10 t + 15/14) + 5/14 sin(11 t + 1/10) + 8/11 sin(12 t + 24/11) + 7/10 sin(13 t + 7/5) + 29/28 sin(14 t + 26/11) + 9/11 sin(15 t + 11/6) + 4/7 sin(22 t + 50/11) + 8/17 sin(23 t + 31/10) + 10/19 sin(24 t + 13/8) + 2/5 sin(25 t + 13/10) + 3/7 sin(26 t + 23/5) + 3/11 sin(27 t + 17/18) + 5/8 sin(29 t + 34/13) + 2/9 sin(30 t + 8/5) + 2/7 sin(31 t + 11/8) - 362/9) θ(27 π - t) θ(t - 23 π) + (-1/82 sin(20/19 - 17 t) - 11/23 sin(2/9 - 14 t) - 1/2 sin(3/10 - 10 t) - 23/24 sin(9/7 - 7 t) - 12/11 sin(11/23 - 5 t) - 5 sin(13/11 - 3 t) - 16/11 sin(17/13 - 2 t) - 237/10 sin(11/8 - t) + 41/20 sin(4 t + 31/11) + 10/11 sin(6 t + 2/7) + 3/13 sin(8 t + 21/8) + 3/8 sin(9 t + 5/8) + 4/11 sin(11 t + 45/11) + 1/17 sin(12 t + 31/7) + 5/14 sin(13 t + 27/13) + 1/13 sin(15 t + 31/11) + 2/11 sin(16 t + 1/9) + 1/9 sin(18 t + 1/5) + 773/18) θ(23 π - t) θ(t - 19 π) + (-1/7 sin(9/10 - 27 t) - 1/6 sin(2/9 - 21 t) - 5/8 sin(19/13 - 17 t) - 5/8 sin(3/8 - 9 t) - 33/5 sin(5/8 - t) + 197/18 sin(2 t + 2/7) + 47/7 sin(3 t + 40/9) + 10/13 sin(4 t + 32/13) + 52/11 sin(5 t + 47/10) + 237/59 sin(6 t + 16/9) + 10/7 sin(7 t + 13/9) + 14/9 sin(8 t + 19/12) + 3/4 sin(10 t + 59/20) + 17/10 sin(11 t + 37/8) + 5/9 sin(12 t + 7/2) + 4/11 sin(13 t + 12/7) + 35/36 sin(14 t + 13/8) + 1/5 sin(15 t + 7/8) + 7/15 sin(16 t + 15/8) + 1/13 sin(18 t + 15/8) + 4/11 sin(19 t + 197/49) + 2/11 sin(20 t + 23/22) + 5/9 sin(22 t + 51/26) + 1/4 sin(23 t + 19/5) + 1/12 sin(24 t + 1/5) + 3/11 sin(25 t + 11/3) + 1/7 sin(26 t + 81/23) + 89) θ(19 π - t) θ(t - 15 π) + (-17/18 sin(7/8 - 4 t) - 171/34 sin(3/4 - 3 t) - 92/9 sin(7/10 - t) + 149/14 sin(2 t + 10/11) + 14/13 sin(5 t + 48/19) + 1011/7) θ(15 π - t) θ(t - 11 π) + (-16/9 sin(7/9 - 2 t) - 115/12 sin(11/9 - t) + 4/9 sin(3 t + 77/26) + 1785/11) θ(11 π - t) θ(t - 7 π) + (-1/3 sin(1/5 - 5 t) - 18/17 sin(7/9 - 3 t) - 57/4 sin(13/9 - t) + 7/6 sin(2 t + 5/6) + 6/11 sin(4 t + 9/7) + 1/3 sin(6 t + 11/7) + 1/13 sin(7 t + 29/28) + 1/25 sin(8 t + 13/6) + 1/4 sin(9 t + 33/13) + 1116/7) θ(7 π - t) θ(t - 3 π) + (-3/5 sin(13/11 - 35 t) - 10/9 sin(70/69 - 31 t) - 5/11 sin(22/23 - 28 t) - 19/6 sin(17/14 - 21 t) - 15/11 sin(8/9 - 19 t) - 101/25 sin(8/9 - 16 t) - 147/10 sin(13/11 - 5 t) - 249/17 sin(23/15 - 3 t) + 423/7 sin(t + 39/11) + 250/7 sin(2 t + 6/5) + 143/12 sin(4 t + 5/8) + 208/23 sin(6 t + 57/14) + 67/8 sin(7 t + 43/16) + 37/19 sin(8 t + 35/9) + 16/15 sin(9 t + 5/14) + 28/9 sin(10 t + 34/11) + 22/5 sin(11 t + 5/4) + 35/11 sin(12 t + 19/11) + 83/42 sin(13 t + 48/13) + 22/7 sin(14 t + 9/5) + 22/7 sin(15 t + 1/9) + 9/11 sin(17 t + 36/13) + 13/10 sin(18 t + 32/9) + 1/3 sin(20 t + 21/11) + 17/9 sin(22 t + 9/17) + 17/5 sin(23 t + 23/13) + 15/8 sin(24 t + 130/43) + 9/14 sin(25 t + 27/11) + 9/11 sin(26 t + 27/11) + 11/4 sin(27 t + 58/13) + 4/5 sin(29 t + 3/5) + 1/3 sin(30 t + 103/23) + 4/5 sin(32 t + 11/15) + 26/27 sin(33 t + 35/17) + 17/16 sin(34 t + 17/7) + 11/14 sin(36 t + 7/5) + 11/15 sin(37 t + 6/11) + 2/9 sin(38 t + 10/21) + 4/7 sin(39 t + 29/14) + 5/6 sin(40 t + 11/7) + 321/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
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