x(t) = ((4619/60 sin(t + 11/7) + 109/8 sin(2 t + 11/7) + 9/7 sin(3 t + 11/7) + 89/15 sin(4 t + 11/7) + 5/11 sin(5 t + 11/7) - 9839/41) θ(75 π - t) θ(t - 71 π) + (-179/8 sin(11/7 - 2 t) + 2101/20 sin(t + 11/7) + 5/6 sin(3 t + 23/5) + 65/9 sin(4 t + 33/7) + 33/8 sin(5 t + 8/5) - 698/9) θ(71 π - t) θ(t - 67 π) + (952/15 sin(t + 11/7) + 116/21 sin(2 t + 19/12) + 26/5 sin(3 t + 11/7) + 11/9 sin(4 t + 11/7) + 25/11 sin(5 t + 11/7) + 3071/10) θ(67 π - t) θ(t - 63 π) + (-4/11 sin(17/11 - 4 t) + 657/13 sin(t + 33/7) + 29/11 sin(2 t + 47/10) + 17/6 sin(3 t + 14/9) + 2/13 sin(5 t + 22/13) + 15/8 sin(6 t + 33/7) + 16/11 sin(7 t + 47/10) + 5/3 sin(8 t + 47/10) + 24/13 sin(9 t + 33/7) + 9/11 sin(10 t + 47/10) + 6/5 sin(11 t + 47/10) + 17/18 sin(12 t + 47/10) + 4/9 sin(13 t + 75/16) + 1163/3) θ(63 π - t) θ(t - 59 π) + (-11/13 sin(11/7 - 6 t) - 17/10 sin(11/7 - 4 t) + 261/7 sin(t + 11/7) + 17/3 sin(2 t + 33/7) + 44/19 sin(3 t + 11/7) + 7/9 sin(5 t + 14/9) + 259/3) θ(59 π - t) θ(t - 55 π) + (-9/11 sin(26/17 - 23 t) - 287/9 sin(11/7 - 5 t) - 271/9 sin(17/11 - 3 t) + 1551/13 sin(t + 17/11) + 685/8 sin(2 t + 17/11) + 535/11 sin(4 t + 14/9) + 311/11 sin(6 t + 14/9) + 1141/60 sin(7 t + 61/13) + 19/9 sin(8 t + 21/11) + 55/8 sin(9 t + 77/17) + 239/12 sin(10 t + 9/2) + 7/9 sin(11 t + 69/16) + 59/6 sin(12 t + 13/10) + 73/24 sin(13 t + 13/11) + 17/12 sin(14 t + 47/11) + 11/16 sin(15 t + 22/5) + 17/6 sin(16 t + 4/3) + 7/11 sin(17 t + 17/13) + 17/9 sin(18 t + 11/9) + 7/4 sin(19 t + 7/5) + 5/4 sin(20 t + 53/12) + 50/13 sin(21 t + 12/11) + 103/13 sin(22 t + 8/7) + 13/5 sin(24 t + 29/7) + 1/2 sin(25 t + 16/5) + 31/16 sin(26 t + 13/3) + 8/7 sin(27 t + 33/8) + 17/14 sin(28 t + 123/31) + 22/9 sin(29 t + 30/7) + 2/3 sin(30 t + 48/13) + 19/12 sin(31 t + 89/22) + 18/11 sin(32 t + 46/11) + 417/8) θ(55 π - t) θ(t - 51 π) + (-2/7 sin(14/9 - 10 t) - 9/13 sin(14/9 - 8 t) - 224/11 sin(11/7 - 3 t) + 197/11 sin(t + 11/7) + 139/14 sin(2 t + 11/7) + 17/12 sin(4 t + 47/10) + 43/12 sin(5 t + 33/7) + 2/5 sin(6 t + 47/10) + 28/19 sin(7 t + 47/10) + 34/33 sin(9 t + 47/10) + 1/4 sin(11 t + 14/3) + 6/19 sin(12 t + 19/12) - 955/8) θ(51 π - t) θ(t - 47 π) + (-149/28 sin(11/7 - 5 t) - 65/6 sin(11/7 - 3 t) - 641/12 sin(11/7 - t) + 265/9 sin(2 t + 11/7) + 37/5 sin(4 t + 11/7) + 7931/15) θ(47 π - t) θ(t - 43 π) + (1810/9 sin(t + 11/7) + 1904/5 sin(2 t + 11/7) + 481/24 sin(3 t + 61/13) + 181/30 sin(4 t + 11/7) + 277/10 sin(5 t + 19/12) + 292/11 sin(6 t + 19/12) + 25/7 sin(7 t + 47/10) + 38/5 sin(8 t + 8/5) + 74/11 sin(9 t + 8/5) + 75/13 sin(10 t + 8/5) + 18/11 sin(11 t + 19/12) + 3109/13) θ(43 π - t) θ(t - 39 π) + (-19/9 sin(11/7 - 12 t) - 21/8 sin(11/7 - 10 t) - 1/11 sin(17/11 - 8 t) - 32/19 sin(14/9 - 6 t) + 4137/22 sin(t + 11/7) + 177/14 sin(2 t + 33/7) + 173/14 sin(3 t + 11/7) + 3/2 sin(4 t + 19/12) + 5/8 sin(5 t + 14/9) + 21/8 sin(7 t + 11/7) + 19/10 sin(9 t + 11/7) + 41/15 sin(11 t + 11/7) + 2104/3) θ(39 π - t) θ(t - 35 π) + (-5/6 sin(17/12 - 11 t) - 7/15 sin(5/12 - 10 t) - 32/13 sin(7/13 - 3 t) - 139/7 sin(2/7 - 2 t) + 2224/15 sin(t + 9/10) + 103/10 sin(4 t + 23/5) + 45/44 sin(5 t + 7/3) + 35/9 sin(6 t + 23/8) + 21/10 sin(7 t + 25/11) + 10/11 sin(8 t + 4/5) + 23/15 sin(9 t + 5/7) + 4/5 sin(12 t + 9/2) + 1339/11) θ(35 π - t) θ(t - 31 π) + (1069/6 sin(t + 18/13) + 643/28 sin(2 t + 11/7) + 255/16 sin(3 t + 11/15) + 247/29 sin(4 t + 45/13) + 53/6 sin(5 t + 9/11) + 14/29 sin(6 t + 31/7) + 21/5 sin(7 t + 19/7) + 53/20 sin(8 t + 3/14) + 24/13 sin(9 t + 24/11) + sin(10 t + 27/14) + 7/8 sin(11 t + 11/9) + 1/3 sin(12 t + 7/4) + 4512/25) θ(31 π - t) θ(t - 27 π) + (-73/8 sin(1/9 - 11 t) - 101/7 sin(7/8 - 3 t) + 3221/13 sin(t + 4/5) + 389/8 sin(2 t + 36/11) + 368/11 sin(4 t + 80/27) + 107/4 sin(5 t + 1/4) + 29/2 sin(6 t + 13/4) + 237/19 sin(7 t + 1/6) + 263/17 sin(8 t + 10/3) + 79/9 sin(9 t + 5/14) + 68/9 sin(10 t + 67/22) + 43/5 sin(12 t + 29/9) - 3139/7) θ(27 π - t) θ(t - 23 π) + (-7/9 sin(9/10 - 17 t) - 22/13 sin(86/85 - 11 t) - 43/10 sin(1/33 - 7 t) - 64/7 sin(2/9 - 5 t) - 19/10 sin(7/10 - 4 t) + 2327/9 sin(t + 19/5) + 46 sin(2 t + 7/4) + 52/7 sin(3 t + 31/9) + 44/13 sin(6 t + 17/11) + 35/13 sin(8 t + 23/8) + 45/17 sin(9 t + 9/2) + 35/17 sin(10 t + 34/9) + 17/10 sin(12 t + 17/8) + 3/5 sin(13 t + 41/10) + 15/13 sin(14 t + 41/14) + 10/19 sin(15 t + 139/35) + 7/9 sin(16 t + 24/11) + 7/8 sin(18 t + 3/5) + 9/8 sin(19 t + 6/7) + 7/9 sin(20 t + 25/14) + 17/18 sin(21 t + 7/11) + 9/8 sin(22 t + 22/15) + 3/7 sin(23 t + 11/4) + 7/12 sin(24 t + 26/9) + 3/14 sin(25 t + 26/7) + 12/25 sin(26 t + 62/25) + 7/11 sin(27 t + 64/15) + 1/4 sin(28 t + 95/24) + 7/20 sin(29 t + 3) + 4/9 sin(30 t + 14/5) + 1/9 sin(31 t + 4) + 1/11 sin(32 t + 9/11) + 3/13 sin(33 t + 8/5) + 1/8 sin(34 t + 20/11) + 2/5 sin(35 t + 2/7) - 16257/22) θ(23 π - t) θ(t - 19 π) + (-3/8 sin(2/7 - 5 t) - 51/19 sin(1/28 - 3 t) - 34/7 sin(3/8 - 2 t) + 20/9 sin(t + 155/52) + 16/17 sin(4 t + 25/7) + 4/9 sin(6 t + 24/7) + 3/10 sin(7 t + 3/7) + 3/11 sin(8 t + 41/11) + 2/11 sin(9 t + 9/19) + 1/8 sin(10 t + 389/97) + 1/6 sin(11 t + 2/7) + 1/6 sin(12 t + 47/16) + 5910/19) θ(19 π - t) θ(t - 15 π) + (-4/15 sin(12/23 - 7 t) + 24/7 sin(t + 21/8) + 15/4 sin(2 t + 3/2) + 31/9 sin(3 t + 7/5) + 8/5 sin(4 t + 25/7) + 13/17 sin(5 t + 1/4) + 2/3 sin(6 t + 46/15) + 5/13 sin(8 t + 3) + 3/7 sin(9 t + 2/5) + 3/10 sin(10 t + 53/15) + 2/7 sin(11 t + 2/5) + 1/3 sin(12 t + 25/7) + 109/2) θ(15 π - t) θ(t - 11 π) + (-53/14 sin(18/13 - 4 t) + 592/7 sin(t + 21/10) + 107/27 sin(2 t + 17/4) + 29/13 sin(3 t + 41/11) + 859/12) θ(11 π - t) θ(t - 7 π) + (287/3 sin(t + 19/9) + 16/5 sin(2 t + 43/13) + 57/10 sin(3 t + 21/8) + 33/17 sin(4 t + 31/7) + 1877/6) θ(7 π - t) θ(t - 3 π) + (-5/8 sin(2/3 - 15 t) - 17/8 sin(11/10 - 12 t) - 11/6 sin(9/13 - 9 t) - 507/10 sin(2/9 - 3 t) - 69/13 sin(41/27 - 2 t) + 1813/5 sin(t + 11/3) + 63/13 sin(4 t + 25/8) + 63/4 sin(5 t + 23/5) + 122/11 sin(6 t + 49/16) + 32/7 sin(7 t + 19/9) + 37/8 sin(8 t + 12/7) + 20/9 sin(10 t + 17/8) + 43/17 sin(11 t + 1/69) + 31/14 sin(13 t + 21/5) + 5/3 sin(14 t + 32/11) + 66/65 sin(16 t + 53/14) + 760/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-13/5 sin(11/7 - 5 t) - 51/8 sin(11/7 - 3 t) - 28 sin(11/7 - t) + 97/6 sin(2 t + 11/7) + 124/25 sin(4 t + 11/7) - 7811/8) θ(75 π - t) θ(t - 71 π) + (-76/7 sin(13/9 - 4 t) - 69/4 sin(43/29 - 3 t) - 50 sin(17/11 - 2 t) + 229/12 sin(t + 17/11) + 13/8 sin(5 t + 4/5) - 2538/7) θ(71 π - t) θ(t - 67 π) + (-17/4 sin(11/7 - 3 t) - 217/11 sin(11/7 - t) + 79/7 sin(2 t + 11/7) + 11/6 sin(4 t + 11/7) + 15/14 sin(5 t + 33/7) - 79/6) θ(67 π - t) θ(t - 63 π) + (-164/9 sin(11/7 - 2 t) + 845/12 sin(t + 11/7) + 7/8 sin(3 t + 18/11) + 89/10 sin(4 t + 33/7) + 34/23 sin(5 t + 47/10) + 105/26 sin(6 t + 33/7) + 8/11 sin(7 t + 14/9) + 1/8 sin(8 t + 17/11) + 25/12 sin(9 t + 11/7) + 13/9 sin(10 t + 11/7) + 33/16 sin(11 t + 14/9) + 13/27 sin(12 t + 14/9) + 2/3 sin(13 t + 14/9) + 2671/13) θ(63 π - t) θ(t - 59 π) + (-64/65 sin(14/9 - 6 t) - 25/9 sin(14/9 - 5 t) - 34/9 sin(14/9 - 4 t) - 57/14 sin(14/9 - 3 t) - 19/14 sin(11/7 - 2 t) + 21/2 sin(t + 11/7) + 3133/11) θ(59 π - t) θ(t - 55 π) + (-25/24 sin(23/15 - 27 t) - 5/14 sin(14/11 - 25 t) - 2/3 sin(16/11 - 17 t) - 55/9 sin(40/27 - 8 t) - 352/13 sin(14/9 - 5 t) - 1519/38 sin(14/9 - 3 t) + 3329/32 sin(t + 47/10) + 297/4 sin(2 t + 14/9) + 1939/38 sin(4 t + 14/9) + 239/9 sin(6 t + 32/21) + 34/9 sin(7 t + 19/15) + 107/6 sin(9 t + 10/7) + 271/10 sin(10 t + 40/9) + 693/13 sin(11 t + 86/19) + 160/7 sin(12 t + 13/9) + 289/16 sin(13 t + 7/6) + 385/48 sin(14 t + 9/7) + 44/9 sin(15 t + 5/4) + 41/11 sin(16 t + 13/10) + 12/13 sin(18 t + 12/5) + 46/9 sin(19 t + 40/9) + 10/9 sin(20 t + 38/25) + 46/31 sin(21 t + 75/16) + 37/16 sin(22 t + 41/10) + 35/11 sin(23 t + 43/10) + 10/13 sin(24 t + 63/16) + 2/3 sin(26 t + 47/13) + 19/7 sin(28 t + 6/5) + 13/10 sin(29 t + 59/13) + 3/2 sin(30 t + 4/3) + 11/10 sin(31 t + 5/7) + 17/13 sin(32 t + 15/4) - 11101/75) θ(55 π - t) θ(t - 51 π) + (-3/10 sin(14/9 - 12 t) - 29/12 sin(11/7 - 6 t) - 38/9 sin(11/7 - 4 t) - 59/8 sin(11/7 - t) + 183/7 sin(2 t + 11/7) + 125/13 sin(3 t + 11/7) + 31/16 sin(5 t + 19/12) + 4/9 sin(7 t + 11/7) + 3/13 sin(8 t + 47/10) + 64/63 sin(9 t + 14/9) + 3/13 sin(10 t + 33/7) + 1/2 sin(11 t + 19/12) - 11360/13) θ(51 π - t) θ(t - 47 π) + (-60/11 sin(11/7 - 4 t) - 528/31 sin(11/7 - 3 t) - 661/55 sin(11/7 - 2 t) - 623/3 sin(11/7 - t) + 39/8 sin(5 t + 33/7) - 5871/8) θ(47 π - t) θ(t - 43 π) + (-43/13 sin(14/9 - 11 t) - 45/8 sin(11/7 - 9 t) - 41/15 sin(14/9 - 8 t) - 57/11 sin(14/9 - 7 t) - 157/6 sin(11/7 - 5 t) - 1813/6 sin(11/7 - t) + 1997/15 sin(2 t + 11/7) + 89/6 sin(3 t + 47/10) + 19/6 sin(4 t + 23/15) + 191/8 sin(6 t + 11/7) + 191/17 sin(10 t + 19/12) - 7307/9) θ(43 π - t) θ(t - 39 π) + (-15/8 sin(11/7 - 12 t) - 72/73 sin(14/9 - 11 t) - 19/9 sin(11/7 - 10 t) - 35/11 sin(11/7 - 9 t) - 7/11 sin(14/9 - 8 t) - 60/11 sin(11/7 - 7 t) - 191/13 sin(11/7 - 5 t) - 184/5 sin(11/7 - 3 t) - 109/10 sin(11/7 - 2 t) - 609/2 sin(11/7 - t) + 1/6 sin(4 t + 5/4) + 11/5 sin(6 t + 47/10) - 6582/11) θ(39 π - t) θ(t - 35 π) + (-11/15 sin(6/7 - 9 t) - 47/13 sin(26/25 - 5 t) - 67/27 sin(13/12 - 4 t) - 633/8 sin(3/10 - t) + 251/7 sin(2 t + 9/8) + 123/8 sin(3 t + 64/15) + 23/8 sin(6 t + 22/13) + 26/9 sin(7 t + 23/6) + 14/9 sin(8 t + 3/5) + 19/12 sin(10 t + 9/7) + 25/19 sin(11 t + 13/3) + 11/17 sin(12 t + 7/12) - 5757/11) θ(35 π - t) θ(t - 31 π) + (-50/3 sin(3/4 - 3 t) + 263/10 sin(t + 83/28) + 669/13 sin(2 t + 11/5) + 17 sin(4 t + 13/7) + 67/11 sin(5 t + 19/8) + 11/3 sin(6 t + 1/12) + 38/17 sin(7 t + 9/5) + 51/14 sin(8 t + 5/3) + 49/25 sin(9 t + 41/10) + 17/12 sin(10 t + 7/12) + 53/54 sin(11 t + 24/7) + 5/7 sin(12 t + 7/4) - 10661/26) θ(31 π - t) θ(t - 27 π) + (-127/10 sin(16/17 - 7 t) - 119/9 sin(11/9 - 5 t) - 1191/4 sin(1/3 - t) + 735/11 sin(2 t + 2/9) + 287/8 sin(3 t + 61/16) + 504/19 sin(4 t + 17/9) + 73/9 sin(6 t + 9/5) + 62/7 sin(8 t + 14/5) + 32/5 sin(9 t + 1/6) + 7/2 sin(10 t + 19/7) + 19/7 sin(11 t + 1/44) + 167/56 sin(12 t + 51/14) - 12878/17) θ(27 π - t) θ(t - 23 π) + (-5/12 sin(14/15 - 32 t) - 1/18 sin(17/13 - 31 t) - 23/11 sin(1/6 - 19 t) - 11/9 sin(38/25 - 18 t) - 243/61 sin(25/17 - 8 t) - 35/9 sin(11/21 - 7 t) - 87/7 sin(4/5 - 6 t) - 2249/15 sin(1/10 - 2 t) + 1997/10 sin(t + 23/12) + 725/13 sin(3 t + 1) + 67/8 sin(4 t + 9/4) + 216/11 sin(5 t + 23/5) + 18/11 sin(9 t + 32/31) + 48/13 sin(10 t + 19/8) + 211/35 sin(11 t + 16/5) + 36/13 sin(12 t + 64/15) + 30/29 sin(13 t + 8/13) + 20/11 sin(14 t + 28/13) + 11/17 sin(15 t + 37/16) + 5/8 sin(16 t + 23/14) + 4/7 sin(17 t + 14/9) + 91/45 sin(20 t + 14/27) + 47/31 sin(21 t + 8/5) + 6/7 sin(22 t + 29/15) + 8/9 sin(23 t + 53/20) + 13/10 sin(24 t + 89/30) + 8/9 sin(25 t + 39/10) + 7/20 sin(26 t + 97/24) + 4/9 sin(27 t + 18/13) + 7/8 sin(28 t + 45/14) + 2/7 sin(29 t + 42/13) + 3/11 sin(30 t + 22/5) + 8/17 sin(33 t + 4/11) + 5/9 sin(34 t + 18/13) + 3/14 sin(35 t + 12/5) - 3384/11) θ(23 π - t) θ(t - 19 π) + (-1/38 sin(2/11 - 7 t) - 35/11 sin(9/14 - t) + 341/85 sin(2 t + 25/14) + 34/11 sin(3 t + 22/21) + 42/43 sin(4 t + 223/56) + 14/15 sin(5 t + 3/4) + 12/23 sin(6 t + 7/2) + 1/7 sin(8 t + 4) + 2/11 sin(9 t + 9/8) + 2/11 sin(10 t + 73/29) + 1/7 sin(11 t + 1/4) + 2/11 sin(12 t + 74/25) + 2961/20) θ(19 π - t) θ(t - 15 π) + (-3/11 sin(13/25 - 12 t) - 1/3 sin(15/29 - 10 t) - 1/9 sin(4/3 - 8 t) - 16/9 sin(12/13 - 4 t) + 35/18 sin(t + 89/19) + 33/8 sin(2 t + 49/16) + 43/14 sin(3 t + 33/13) + 3/10 sin(5 t + 26/11) + 3/10 sin(6 t + 4/11) + 9/17 sin(7 t + 94/27) + 1/5 sin(9 t + 35/11) + 1/4 sin(11 t + 20/7) + 2917/15) θ(15 π - t) θ(t - 11 π) + (949/15 sin(t + 11/3) + 63/11 sin(2 t + 19/9) + 26/7 sin(3 t + 22/5) + 7/8 sin(4 t + 28/13) + 3715/23) θ(11 π - t) θ(t - 7 π) + (658/9 sin(t + 107/27) + 57/10 sin(2 t + 9/5) + 56/13 sin(3 t + 38/9) + 7/6 sin(4 t + 10/11) + 1681/16) θ(7 π - t) θ(t - 3 π) + (-9/11 sin(13/10 - 16 t) - 14/15 sin(2/7 - 15 t) - 12/7 sin(3/8 - 12 t) - 29/6 sin(5/11 - 8 t) - 80/9 sin(5/14 - 4 t) + 3076/7 sin(t + 12/5) + 343/18 sin(2 t + 13/3) + 230/17 sin(3 t + 31/8) + 21/4 sin(5 t + 53/21) + 23/10 sin(6 t + 1/5) + 27/7 sin(7 t + 5/12) + 60/17 sin(9 t + 38/9) + 11/8 sin(10 t + 49/16) + 10/7 sin(11 t + 2/3) + 4/7 sin(13 t + 18/5) + 17/12 sin(14 t + 9/7) + 598/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))