#はじめに
ロボカッケー皆さんコンバトラー†[□ □]■━
ゲーム大好きお兄さんの王国騎士🏰ロボットVTuber⚔Koshiだ🗡️
WolframAlpha https://ja.wolframalpha.com/
を使って、ゲームに登場するキャラクターのイラスト(線画)を曲線に変化させたキャラクター曲線の結果を一覧にした。
ぜひ、課題、研究、開発などに使ってくれ。
アニメキャラクター曲線一覧(Wolfram Alpha)はこちら
アメコミ・映画キャラクター曲線一覧(Wolfram Alpha)はこちら
各国有名人・歴史人物キャラクター曲線一覧(Wolfram Alpha)はこちら
生き物・ファンタジーモンスター曲線一覧(Wolfram Alpha)はこちら
#ゲーム
キャラクター曲線、数式一覧(コピペ用、PCでの閲覧を推奨)
指定がなければ、基本時にパラメトリック方程式で示されている。
##マリオブラザーズ mario bros like curve
パラメトリック方程式
x(t) = ((-7/48 sin(10/11 - 14 t) + 2540/7 sin(t + 49/29) + 809/23 sin(2 t + 25/13) + 285/31 sin(3 t + 177/106) + 91/8 sin(4 t + 70/29) + 103/23 sin(5 t + 44/27) + 40/11 sin(6 t + 140/37) + 16/3 sin(7 t + 33/16) + 30/11 sin(8 t + 60/13) + 227/85 sin(9 t + 91/44) + 110/47 sin(10 t + 26/7) + 29/22 sin(11 t + 45/37) + 52/33 sin(12 t + 89/24) + 14/25 sin(13 t + 135/52) + 56/41 sin(15 t + 122/35) + 4/21 sin(16 t + 208/89) + 149/20) θ(95 π - t) θ(t - 91 π) + (-46/19 sin(14/25 - 2 t) + 264/23 sin(t + 1/10) + 125/29 sin(3 t + 11/25) + 85/23 sin(4 t + 72/23) + 122/43 sin(5 t + 15/23) + 377/32 sin(6 t + 83/18) + 169/24 sin(7 t + 42/23) + 52/15 sin(8 t + 37/33) + 407/27 sin(9 t + 27/29) + 35/8 sin(10 t + 55/31) + 33/17 sin(11 t + 109/29) + 193/46 sin(12 t + 13/16) - 10560/59) θ(91 π - t) θ(t - 87 π) + (-19/24 sin(9/19 - 11 t) - 139/29 sin(11/26 - 9 t) - 103/6 sin(21/20 - 6 t) - 785/112 sin(8/15 - 2 t) + 75/34 sin(t + 14/33) + 79/38 sin(3 t + 27/46) + 313/87 sin(4 t + 17/24) + 65/22 sin(5 t + 152/35) + 266/71 sin(7 t + 139/44) + 118/45 sin(8 t + 117/28) + 23/19 sin(10 t + 64/33) + 82/33 sin(12 t + 75/31) + 1527/13) θ(87 π - t) θ(t - 83 π) + (-44/21 sin(3/8 - 9 t) - 1370/457 sin(43/47 - 8 t) - 173/20 sin(13/32 - 5 t) + 7375/42 sin(t + 1653/826) + 3902/53 sin(2 t + 49/37) + 3229/190 sin(3 t + 211/66) + 127/13 sin(4 t + 181/63) + 1169/292 sin(6 t + 97/35) + 35/24 sin(7 t + 261/112) + 53/17 sin(10 t + 43/13) + 123/29 sin(11 t + 3/17) + 80/29 sin(12 t + 36/11) + 16667/36) θ(83 π - t) θ(t - 79 π) + (-22/15 sin(5/16 - 11 t) - 1244/113 sin(27/20 - 5 t) - 127/15 sin(1/7 - 4 t) - 261/10 sin(15/16 - 2 t) + 1657/20 sin(t + 167/41) + 292/23 sin(3 t + 66/17) + 234/31 sin(6 t + 266/69) + 173/27 sin(7 t + 73/16) + 111/29 sin(8 t + 71/28) + 31/13 sin(9 t + 85/32) + 3/4 sin(10 t + 236/51) + 21/23 sin(12 t + 106/23) - 19200/37) θ(79 π - t) θ(t - 75 π) + (-34/41 sin(42/37 - 12 t) + 7208/61 sin(t + 139/93) + 195/23 sin(2 t + 91/33) + 86/11 sin(3 t + 65/33) + 79/27 sin(4 t + 199/99) + 253/28 sin(5 t + 47/33) + 43/33 sin(6 t + 7/2) + 107/30 sin(7 t + 73/61) + 21/31 sin(8 t + 120/37) + 68/35 sin(9 t + 34/21) + 15/53 sin(10 t + 68/21) + 104/41 sin(11 t + 29/40) + 29/40 sin(13 t + 23/19) + 16/45 sin(14 t + 155/37) + 9/14 sin(15 t + 435/218) - 277/35) θ(75 π - t) θ(t - 71 π) + (1826/43 sin(t + 49/59) + 232/65 sin(2 t + 25/34) + 11627/31) θ(71 π - t) θ(t - 67 π) + (1241/19 sin(t + 69/59) + 214/71 sin(2 t + 31/23) + 64/35 sin(3 t + 56/13) + 61/27 sin(4 t + 62/53) + 1062/29) θ(67 π - t) θ(t - 63 π) + (12307/142 sin(t + 7/6) + 227/31 sin(2 t + 129/28) + 355/32 sin(3 t + 46/43) + 109/33 sin(4 t + 136/37) + 85/21 sin(5 t + 27/34) + 135/41 sin(6 t + 71/20) + 90/41 sin(7 t + 26/27) + 83/36 sin(8 t + 83/25) + 34/23 sin(9 t + 17/21) + 25/13 sin(10 t + 107/34) + 13/18 sin(11 t + 17/24) + 49/27 sin(12 t + 60/19) + 324) θ(63 π - t) θ(t - 59 π) + (-18/23 sin(17/11 - 12 t) - 16/19 sin(6/29 - 9 t) - 4/13 sin(26/17 - 7 t) - 250/51 sin(77/54 - 6 t) - 206/27 sin(26/51 - 4 t) - 49/2 sin(16/31 - 2 t) + 3718/23 sin(t + 10/9) + 199/8 sin(3 t + 25/21) + 245/29 sin(5 t + 58/49) + 55/13 sin(8 t + 178/41) + 118/47 sin(10 t + 73/16) + 19/16 sin(11 t + 437/438) + 26/37 sin(13 t + 22/15) + 26/41 sin(14 t + 45/11) + 1/26 sin(15 t + 65/54) - 128/3) θ(59 π - t) θ(t - 55 π) + (-56/9 sin(17/35 - 26 t) - 171/44 sin(29/26 - 23 t) - 98/25 sin(29/26 - 19 t) - 224/23 sin(34/61 - 12 t) - 6397/43 sin(15/19 - 7 t) - 737/13 sin(33/49 - 6 t) - 764/27 sin(15/14 - 2 t) + 13798/35 sin(t + 77/38) + 3989/20 sin(3 t + 1/84) + 356/19 sin(4 t + 55/26) + 2183/30 sin(5 t + 255/56) + 442/21 sin(8 t + 82/33) + 1092/43 sin(9 t + 33/46) + 587/52 sin(10 t + 4/19) + 174/5 sin(11 t + 65/21) + 1411/94 sin(13 t + 73/20) + 129/13 sin(14 t + 5/4) + 231/29 sin(15 t + 2/29) + 149/15 sin(16 t + 45/16) + 519/67 sin(17 t + 73/19) + 73/53 sin(18 t + 71/16) + 153/53 sin(20 t + 4) + 283/41 sin(21 t + 3/26) + 73/23 sin(22 t + 31/18) + 87/22 sin(24 t + 5/33) + 190/29 sin(25 t + 27/7) + 57/16 sin(27 t + 3/2) + 151/39 sin(28 t + 1190/397) + 199/50 sin(29 t + 26/33) - 5967/56) θ(55 π - t) θ(t - 51 π) + (-6/35 sin(13/18 - 11 t) - 9/13 sin(9/23 - 9 t) - 47/34 sin(23/29 - 7 t) - 98/37 sin(37/32 - 5 t) - 115/14 sin(44/41 - 3 t) - 39/41 sin(15/23 - 2 t) - 2179/21 sin(48/35 - t) + 23/25 sin(4 t + 7/12) + 41/37 sin(6 t + 43/31) + 24/25 sin(8 t + 59/30) + 15/19 sin(10 t + 45/19) + 62/123 sin(12 t + 39/16) - 9717/53) θ(51 π - t) θ(t - 47 π) + (2617/50 sin(t + 59/46) + 101/40 sin(2 t + 55/24) + 64/17 sin(3 t + 135/32) + 28/45 sin(4 t + 18/17) + 6361/49) θ(47 π - t) θ(t - 43 π) + (2662/35 sin(t + 25/29) + 71/13 sin(2 t + 52/25) + 219/41 sin(3 t + 121/35) + 53/19 sin(4 t + 20/29) + 73/26 sin(5 t + 52/17) + 3923/28) θ(43 π - t) θ(t - 39 π) + (-22/21 sin(22/51 - 4 t) + 1408/19 sin(t + 23/21) + 48/29 sin(2 t + 40/31) + 33/19 sin(3 t + 95/23) + 18/31 sin(5 t + 33/14) - 6441/35) θ(39 π - t) θ(t - 35 π) + (1659/17 sin(t + 24/41) + 59/17 sin(2 t + 15/29) + 48/11 sin(3 t + 80/31) + 2/25 sin(4 t + 80/159) - 5771/31) θ(35 π - t) θ(t - 31 π) + (-132/41 sin(3/37 - 12 t) - 123/40 sin(47/31 - 7 t) - 63/11 sin(49/32 - 5 t) - 130/7 sin(12/13 - 2 t) + 7294/15 sin(t + 41/39) + 816/43 sin(3 t + 5/21) + 299/24 sin(4 t + 103/36) + 59/8 sin(6 t + 19/21) + 67/45 sin(8 t + 7/38) + 75/13 sin(9 t + 155/36) + 41/10 sin(10 t + 38/53) + 67/18 sin(11 t + 42/13) - 2071/13) θ(31 π - t) θ(t - 27 π) + (-769/71 sin(1/91 - 13 t) - 365/21 sin(43/31 - 12 t) - 1033/53 sin(22/35 - 7 t) - 1459/29 sin(15/29 - 6 t) - 1023/14 sin(16/11 - 4 t) - 685/8 sin(37/30 - t) + 1145/13 sin(2 t + 61/39) + 382/27 sin(3 t + 55/16) + 3185/54 sin(5 t + 25/22) + 1485/31 sin(8 t + 409/102) + 809/41 sin(9 t + 77/24) + 816/53 sin(10 t + 78/19) + 197/23 sin(11 t + 269/62) + 104/19 sin(14 t + 15/41) + 245/37 sin(15 t + 109/54) + 120/29 sin(16 t + 45/28) + 112/27 sin(17 t + 17/31) + 13/9 sin(18 t + 13/16) + 159/40 sin(19 t + 47/24) + 17/26 sin(20 t + 116/35) + 53/12 sin(21 t + 42/83) + 56774/117) θ(27 π - t) θ(t - 23 π) + (-27/17 sin(39/40 - 19 t) - 76/29 sin(682/681 - 11 t) - 179/9 sin(29/27 - 5 t) - 3509/28 sin(29/23 - 2 t) - 2092/17 sin(10/23 - t) + 3427/39 sin(3 t + 13/14) + 1106/41 sin(4 t + 111/29) + 336/23 sin(6 t + 127/35) + 1051/73 sin(7 t + 51/26) + 203/32 sin(8 t + 37/31) + 37/5 sin(9 t + 13/43) + 121/19 sin(10 t + 19/10) + 249/125 sin(12 t + 100/31) + 17/40 sin(13 t + 83/69) + 101/37 sin(14 t + 159/68) + 51/28 sin(15 t + 14/19) + 20/9 sin(16 t + 19/28) + 19/24 sin(17 t + 123/47) + 11/13 sin(18 t + 50/151) + 25/38 sin(20 t + 22/17) - 23965/43) θ(23 π - t) θ(t - 19 π) + (-46/39 sin(11/27 - 3 t) + 3379/18 sin(t + 47/32) + 153/19 sin(2 t + 54/35) + 327/77 sin(4 t + 21/17) + 104/33 sin(5 t + 118/29) + 100/29 sin(6 t + 31/33) + 118/41 sin(7 t + 124/33) + 5455/101) θ(19 π - t) θ(t - 15 π) + (-37/21 sin(13/40 - 15 t) - 67/33 sin(10/13 - 12 t) - 869/290 sin(4/3 - 11 t) - 388/31 sin(109/78 - 5 t) - 411/38 sin(14/25 - 3 t) + 6756/23 sin(t + 70/93) + 725/31 sin(2 t + 190/69) + 573/46 sin(4 t + 43/40) + 56/45 sin(6 t + 81/35) + 31/9 sin(7 t + 142/43) + 72/35 sin(8 t + 32/23) + 61/11 sin(9 t + 9/13) + 25/31 sin(10 t + 13/48) + 85/29 sin(13 t + 29/24) + 22/25 sin(14 t + 21/29) + 35/27 sin(16 t + 12/73) + 9/7 sin(17 t + 77/19) + 6/37 sin(18 t + 73/18) + 909/34) θ(15 π - t) θ(t - 11 π) + (20189/113 sin(t + 207/52) + 201/25 sin(2 t + 21/26) + 180/47 sin(3 t + 159/50) + 158/41 sin(4 t + 2/35) - 1106/47) θ(11 π - t) θ(t - 7 π) + (-39/68 sin(7/12 - 12 t) - 1/2 sin(70/69 - 10 t) - 905/78 sin(9/22 - 5 t) - 822/23 sin(20/23 - 3 t) - 14600/43 sin(55/41 - t) + 9/11 sin(2 t + 37/15) + 24/71 sin(4 t + 173/65) + 1/3 sin(6 t + 133/37) + 436/83 sin(7 t + 3/40) + 11/37 sin(8 t + 159/35) + 79/26 sin(9 t + 28/47) + 88/49 sin(11 t + 49/44) - 3013/35) θ(7 π - t) θ(t - 3 π) + (-291/13 sin(20/23 - 3 t) - 703/33 sin(1/517 - 2 t) + 18020/37 sin(t + 50/57) + 122/23 sin(4 t + 59/18) + 318/35 sin(5 t + 169/46) + 115/22 sin(6 t + 59/35) + 68/39 sin(7 t + 79/31) + 161/37 sin(8 t + 17/22) + 107/33 sin(9 t + 143/31) + 34/25 sin(10 t + 41/42) + 84/37 sin(11 t + 269/67) + 65/42 sin(12 t + 390/389) - 4625/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-191/106 sin(10/9 - 9 t) + 2661/67 sin(t + 25/28) + 3358/101 sin(2 t + 35/16) + 1875/32 sin(3 t + 39/25) + 535/29 sin(4 t + 216/47) + 477/17 sin(5 t + 41/25) + 133/39 sin(6 t + 51/13) + 119/20 sin(7 t + 22/13) + 265/43 sin(8 t + 93/47) + 91/18 sin(10 t + 62/27) + 102/73 sin(11 t + 35/36) + 81/101 sin(12 t + 38/11) + 134/37 sin(13 t + 117/50) + 17/25 sin(14 t + 51/11) + 19/11 sin(15 t + 56/23) + 43/38 sin(16 t + 175/117) - 8893/19) θ(95 π - t) θ(t - 91 π) + (-237/35 sin(21/22 - 11 t) - 2723/190 sin(5/36 - 6 t) - 37/18 sin(23/26 - 2 t) + 290/23 sin(t + 83/39) + 215/41 sin(3 t + 66/23) + 207/50 sin(4 t + 131/34) + 113/20 sin(5 t + 39/41) + 43/5 sin(7 t + 48/13) + 308/67 sin(8 t + 71/29) + 105/4 sin(9 t + 79/32) + 273/34 sin(10 t + 43/14) + 209/25 sin(12 t + 45/19) + 17847/29) θ(91 π - t) θ(t - 87 π) + (-267/37 sin(15/28 - 7 t) - 206/29 sin(10/27 - 5 t) - 287/34 sin(1/11 - t) + 193/37 sin(2 t + 37/22) + 309/50 sin(3 t + 47/21) + 671/67 sin(4 t + 38/11) + 753/25 sin(6 t + 16/33) + 75/41 sin(8 t + 52/21) + 156/35 sin(9 t + 11/20) + 123/37 sin(10 t + 38/11) + 115/33 sin(11 t + 20/33) + 31/11 sin(12 t + 28/9) + 12552/19) θ(87 π - t) θ(t - 83 π) + (-77/38 sin(17/59 - 12 t) - 105/29 sin(18/25 - 10 t) - 407/29 sin(28/25 - 3 t) + 8407/97 sin(t + 177/46) + 819/11 sin(2 t + 51/22) + 265/19 sin(4 t + 59/33) + 626/29 sin(5 t + 44/13) + 1811/151 sin(6 t + 137/30) + 83/18 sin(7 t + 22/17) + 124/71 sin(8 t + 73/20) + 127/31 sin(9 t + 21/5) + 99/38 sin(11 t + 21/19) + 1976/9) θ(83 π - t) θ(t - 79 π) + (-37/29 sin(4/25 - 11 t) - 103/44 sin(30/59 - 7 t) - 148/49 sin(63/62 - 5 t) - 1089/19 sin(34/39 - t) + 6598/91 sin(2 t + 65/38) + 176/29 sin(3 t + 17/27) + 184/37 sin(4 t + 123/38) + 103/15 sin(6 t + 11/37) + 106/25 sin(8 t + 159/44) + 15/4 sin(9 t + 89/22) + 83/24 sin(10 t + 35/32) + 41/22 sin(12 t + 119/30) + 15729/29) θ(79 π - t) θ(t - 75 π) + (-119/46 sin(132/131 - 11 t) + 1189/25 sin(t + 79/27) + 877/17 sin(2 t + 130/29) + 734/37 sin(3 t + 43/15) + 355/22 sin(4 t + 526/117) + 17/3 sin(5 t + 145/72) + 303/22 sin(6 t + 25/21) + 89/52 sin(7 t + 99/26) + 24/5 sin(8 t + 58/13) + 79/45 sin(9 t + 67/30) + 77/32 sin(10 t + 3/5) + 28/65 sin(12 t + 27/53) + 19/29 sin(13 t + 80/21) + 58/49 sin(14 t + 51/14) + 11/24 sin(15 t + 71/28) + 34459/33) θ(75 π - t) θ(t - 71 π) + (-78/77 sin(10/11 - 2 t) - 4118/79 sin(37/33 - t) - 1199/39) θ(71 π - t) θ(t - 67 π) + (-3/2 sin(13/24 - 4 t) - 73/27 sin(17/21 - 3 t) - 31/12 sin(6/5 - 2 t) - 626/11 sin(7/13 - t) - 8873/39) θ(67 π - t) θ(t - 63 π) + (-28/17 sin(13/29 - 11 t) - 96/43 sin(25/74 - 9 t) - 157/48 sin(11/27 - 7 t) - 229/37 sin(13/20 - 5 t) - 479/33 sin(19/20 - 3 t) - 70/27 sin(65/49 - 2 t) - 7049/52 sin(35/27 - t) + 19/15 sin(4 t + 90/37) + 64/41 sin(6 t + 91/33) + 27/20 sin(8 t + 55/21) + 83/62 sin(10 t + 31/12) + 25/18 sin(12 t + 64/23) + 520/23) θ(63 π - t) θ(t - 59 π) + (-7/10 sin(7/43 - 9 t) - 16/23 sin(37/51 - 5 t) - 94/9 sin(16/19 - 3 t) - 401/29 sin(2/35 - 2 t) - 5189/23 sin(24/19 - t) + 205/31 sin(4 t + 45/58) + 103/41 sin(6 t + 24/17) + 133/67 sin(7 t + 76/17) + 73/37 sin(8 t + 83/36) + 51/44 sin(10 t + 30/17) + 49/44 sin(11 t + 76/59) + 8/5 sin(12 t + 43/32) + 23/52 sin(13 t + 147/88) + sin(14 t + 97/58) + 6/19 sin(15 t + 61/14) - 615/7) θ(59 π - t) θ(t - 55 π) + (-32/27 sin(50/51 - 25 t) - 354/31 sin(2/13 - 24 t) - 149/28 sin(15/13 - 21 t) - 501/26 sin(12/35 - 18 t) - 113/14 sin(44/31 - 17 t) - 1063/80 sin(10/23 - 16 t) - 854/39 sin(33/50 - 15 t) - 2097/20 sin(27/31 - 3 t) + 16563/34 sin(t + 115/32) + 10150/51 sin(2 t + 11/20) + 691/28 sin(4 t + 104/49) + 5699/35 sin(5 t + 129/31) + 463/10 sin(6 t + 37/20) + 432/17 sin(7 t + 52/105) + 706/25 sin(8 t + 19/14) + 1093/15 sin(9 t + 91/25) + 298/41 sin(10 t + 41/24) + 1123/24 sin(11 t + 83/30) + 2189/134 sin(12 t + 202/55) + 421/24 sin(13 t + 63/20) + 198/23 sin(14 t + 37/25) + 167/13 sin(19 t + 257/79) + 89/24 sin(20 t + 13/6) + 115/17 sin(22 t + 1/24) + 491/82 sin(23 t + 59/15) + 88/19 sin(26 t + 23/21) + 45/14 sin(27 t + 66/25) + 259/43 sin(28 t + 19/41) + 145/72 sin(29 t + 27/14) - 15675/23) θ(55 π - t) θ(t - 51 π) + (-329/72 sin(15/26 - 4 t) - 122/7 sin(19/13 - 2 t) + 757/33 sin(t + 13/45) + 265/37 sin(3 t + 23/36) + 101/32 sin(5 t + 46/55) + 41/27 sin(6 t + 35/88) + 39/23 sin(7 t + 16/17) + 18/31 sin(8 t + 77/24) + 7/6 sin(9 t + 12/11) + 2/13 sin(10 t + 53/14) + 11/24 sin(11 t + 38/33) + 7/22 sin(12 t + 59/16) + 139393/201) θ(51 π - t) θ(t - 47 π) + (-1790/23 sin(7/33 - t) + 25/21 sin(2 t + 186/41) + 128/29 sin(3 t + 125/48) + 53/46 sin(4 t + 16/27) + 36850/57) θ(47 π - t) θ(t - 43 π) + (-67/13 sin(24/37 - 4 t) - 47/24 sin(4/17 - 3 t) - 1093/12 sin(24/29 - t) + 1968/281 sin(2 t + 100/23) + 89/78 sin(5 t + 41/28) + 19528/31) θ(43 π - t) θ(t - 39 π) + (-35/38 sin(28/27 - 2 t) - 960/13 sin(33/83 - t) + 47/33 sin(3 t + 296/87) + 50/27 sin(4 t + 2/11) + 9/13 sin(5 t + 222/89) + 14327/24) θ(39 π - t) θ(t - 35 π) + (-49/16 sin(25/39 - 4 t) - 271/65 sin(23/25 - 2 t) - 3790/33 sin(29/31 - t) + 15/4 sin(3 t + 41/23) + 18911/33) θ(35 π - t) θ(t - 31 π) + (-119/29 sin(53/38 - 12 t) - 73/30 sin(1/106 - 10 t) - 1461/127 sin(10/61 - 6 t) - 506/27 sin(35/31 - 3 t) - 509/9 sin(24/37 - 2 t) - 23306/71 sin(25/39 - t) + 293/50 sin(4 t + 23/20) + 597/40 sin(5 t + 83/29) + 152/17 sin(7 t + 13/8) + 118/29 sin(8 t + 170/39) + 133/34 sin(9 t + 137/39) + 95/16 sin(11 t + 54/25) + 8357/18) θ(31 π - t) θ(t - 27 π) + (-262/31 sin(23/19 - 16 t) - 612/89 sin(67/48 - 15 t) - 1589/67 sin(5/13 - 6 t) - 1033/19 sin(1/75 - 4 t) + 2851/16 sin(t + 15/23) + 1471/10 sin(2 t + 48/11) + 2326/47 sin(3 t + 26/37) + 223/6 sin(5 t + 138/53) + 1529/32 sin(7 t + 4/25) + 182/23 sin(8 t + 91/50) + 218/51 sin(9 t + 243/146) + 898/63 sin(10 t + 21/11) + 306/23 sin(11 t + 55/12) + 260/23 sin(12 t + 240/241) + 109/22 sin(13 t + 58/35) + 350/43 sin(14 t + 3/11) + 119/64 sin(17 t + 122/33) + 56/13 sin(18 t + 31/18) + 74/27 sin(19 t + 13/38) + 87/25 sin(20 t + 75/29) + 41/15 sin(21 t + 81/32) + 12539/22) θ(27 π - t) θ(t - 23 π) + (-101/21 sin(17/32 - 16 t) - 35/34 sin(17/19 - 15 t) - 64/5 sin(45/34 - 9 t) - 71/17 sin(22/39 - 8 t) - 4913/89 sin(23/25 - 3 t) + 7057/32 sin(t + 627/157) + 1545/17 sin(2 t + 53/16) + 236/21 sin(4 t + 65/16) + 377/41 sin(5 t + 45/14) + 539/27 sin(6 t + 10/11) + 408/49 sin(7 t + 37/20) + 49/6 sin(10 t + 19/35) + 149/39 sin(11 t + 77/17) + 82/39 sin(12 t + 122/33) + 129/40 sin(13 t + 193/50) + 55/31 sin(14 t + 63/34) + 105/37 sin(17 t + 118/29) + 29/11 sin(18 t + 59/18) + 16/5 sin(19 t + 37/12) + 160/59 sin(20 t + 19/27) - 25342/45) θ(23 π - t) θ(t - 19 π) + (-130/33 sin(5/41 - 6 t) - 115/8 sin(1/8 - 2 t) - 1674/11 sin(2/23 - t) + 75/19 sin(3 t + 105/31) + 144/31 sin(4 t + 1/55) + 198/43 sin(5 t + 64/19) + 57/22 sin(7 t + 91/32) + 24873/61) θ(19 π - t) θ(t - 15 π) + (-8/27 sin(4/45 - 18 t) - 44/45 sin(19/13 - 14 t) - 184/31 sin(13/25 - 9 t) - 118/35 sin(5/19 - 7 t) - 3471/53 sin(8/29 - t) + 5861/59 sin(2 t + 5/44) + 963/25 sin(3 t + 165/38) + 1567/165 sin(4 t + 149/34) + 350/37 sin(5 t + 33/13) + 346/41 sin(6 t + 61/27) + 47/27 sin(8 t + 27/16) + 65/11 sin(10 t + 59/23) + 299/49 sin(11 t + 87/25) + 61/37 sin(12 t + 173/37) + 231/71 sin(13 t + 67/23) + 33/31 sin(15 t + 385/96) + 16/19 sin(16 t + 14/3) + 7/9 sin(17 t + 109/26) + 8297/26) θ(15 π - t) θ(t - 11 π) + (-164/23 sin(34/31 - 4 t) + 2702/19 sin(t + 5/2) + 312/31 sin(2 t + 75/23) + 527/39 sin(3 t + 107/108) + 31261/30) θ(11 π - t) θ(t - 7 π) + (-47/41 sin(29/24 - 11 t) - 160/59 sin(55/38 - 9 t) - 55/18 sin(4/21 - 8 t) - 88/29 sin(39/31 - 7 t) - 108/19 sin(3/7 - 6 t) - 144/25 sin(55/42 - 4 t) + 2550/101 sin(t + 127/33) + 540/29 sin(2 t + 14/3) + 378/55 sin(3 t + 80/19) + 62/11 sin(5 t + 209/46) + 31/17 sin(10 t + 5/18) + 55/48 sin(12 t + 23/41) + 38813/52) θ(7 π - t) θ(t - 3 π) + (-71/59 sin(31/30 - 12 t) - 11/3 sin(4/5 - 7 t) + 2195/8 sin(t + 90/43) + 5273/48 sin(2 t + 107/31) + 1879/39 sin(3 t + 38/27) + 33/5 sin(4 t + 125/39) + 196/11 sin(5 t + 2/31) + 281/28 sin(6 t + 136/33) + 350/57 sin(8 t + 244/75) + 56/13 sin(9 t + 39/31) + 16/11 sin(10 t + 334/223) + 58/31 sin(11 t + 23/41) + 7100/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-95/8 sin(11/7 - 4 t) + 118/5 sin(t + 33/7) + 223/2 sin(2 t + 33/7) + 23/5 sin(3 t + 8/5) + 7/8 sin(5 t + 18/11) + 38/5 sin(6 t + 33/7) + 1473/2) θ(75 π - t) θ(t - 71 π) + (-188/17 sin(11/7 - 5 t) - 286/5 sin(11/7 - 3 t) - 593/5 sin(11/7 - 2 t) + 499/5 sin(t + 11/7) + 18/7 sin(4 t + 47/10) + 45/4 sin(6 t + 11/7) - 3806/27) θ(71 π - t) θ(t - 67 π) + (-21/8 sin(3/2 - 5 t) - 395/7 sin(14/9 - 3 t) - 213/4 sin(11/7 - 2 t) - 1720/11 sin(11/7 - t) + 395/18 sin(4 t + 8/5) + 4268/7) θ(67 π - t) θ(t - 63 π) + (-59/4 sin(11/7 - 6 t) - 97 sin(11/7 - t) + 831/8 sin(2 t + 11/7) + 1045/18 sin(3 t + 11/7) + 45/8 sin(4 t + 11/7) + 143/8 sin(5 t + 11/7) + 14) θ(63 π - t) θ(t - 59 π) + (-171/17 sin(14/9 - 23 t) - 64/5 sin(14/9 - 22 t) - 106/7 sin(3/2 - 19 t) - 45/8 sin(14/9 - 16 t) - 337/13 sin(11/7 - 9 t) - 789/7 sin(11/7 - 4 t) + 1753/4 sin(t + 11/7) + 1538/7 sin(2 t + 33/7) + 701/5 sin(3 t + 33/7) + 1167/7 sin(5 t + 11/7) + 2161/23 sin(6 t + 11/7) + 487/10 sin(7 t + 11/7) + 554/11 sin(8 t + 11/7) + 994/9 sin(10 t + 11/7) + 102/5 sin(11 t + 11/7) + 25/12 sin(12 t + 9/8) + 47/5 sin(13 t + 5/3) + 51/5 sin(14 t + 14/3) + 114/7 sin(15 t + 33/7) + 156/7 sin(17 t + 11/7) + 397/18 sin(18 t + 11/7) + 33/10 sin(20 t + 12/7) + 58/19 sin(21 t + 9/2) + 434/3) θ(59 π - t) θ(t - 55 π) + (-4 sin(14/9 - 24 t) - 91/5 sin(3/2 - 16 t) - 332/7 sin(14/9 - 12 t) - 143/2 sin(11/7 - 6 t) - 793/6 sin(11/7 - 4 t) - 3338/7 sin(11/7 - 2 t) - 1649/7 sin(11/7 - t) + 135/4 sin(3 t + 17/11) + 786/11 sin(5 t + 11/7) + 57/4 sin(7 t + 11/7) + 241/9 sin(8 t + 8/5) + 23/7 sin(9 t + 15/8) + 221/6 sin(10 t + 13/8) + 199/6 sin(11 t + 8/5) + 391/15 sin(13 t + 13/8) + 246/5 sin(14 t + 13/8) + 91/30 sin(15 t + 23/5) + 103/7 sin(17 t + 13/8) + 88/7 sin(18 t + 12/7) + 71/6 sin(19 t + 5/3) + 3/8 sin(20 t + 33/10) + 10/3 sin(21 t + 12/7) + 40/7 sin(22 t + 12/7) + 12/7 sin(23 t + 7/4) + 2269/3) θ(55 π - t) θ(t - 51 π) + (-19/10 sin(14/9 - 25 t) - 4/7 sin(26/25 - 24 t) - 5/8 sin(9/7 - 22 t) - 139/35 sin(11/7 - 19 t) - 83/15 sin(11/7 - 18 t) - 341/10 sin(11/7 - 12 t) - 31/2 sin(17/11 - 9 t) - 141/7 sin(11/7 - 8 t) - 66 sin(14/9 - t) + 1731/4 sin(2 t + 11/7) + 1173/11 sin(3 t + 11/7) + 1437/10 sin(4 t + 11/7) + 186/7 sin(5 t + 14/9) + 19 sin(6 t + 14/9) + 99/5 sin(7 t + 33/7) + 604/7 sin(10 t + 11/7) + 64/5 sin(11 t + 14/9) + 277/10 sin(13 t + 33/7) + 86/3 sin(14 t + 8/5) + 25/7 sin(15 t + 3/2) + 33/4 sin(16 t + 11/7) + 11/7 sin(17 t + 8/5) + 51/8 sin(20 t + 8/5) + 53/13 sin(21 t + 14/3) + 58/7 sin(23 t + 11/7) + 11/3 sin(26 t + 8/5) - 5521/6) θ(51 π - t) θ(t - 47 π) + (-19/3 sin(3/2 - 16 t) - 85/6 sin(9/8 - 7 t) - 296/9 sin(3/2 - 6 t) - 2314/7 sin(11/7 - t) + 47/7 sin(2 t + 29/14) + 2439/7 sin(3 t + 13/8) + 576/5 sin(4 t + 7/4) + 2901/29 sin(5 t + 17/10) + 47/3 sin(8 t + 20/13) + 9/2 sin(9 t + 13/4) + 176/35 sin(10 t + 25/9) + 91/2 sin(11 t + 5/3) + 99/7 sin(12 t + 9/2) + 41/2 sin(13 t + 12/7) + 71/6 sin(14 t + 14/3) + 91/8 sin(15 t + 19/13) + 34/7 sin(17 t + 27/14) + 1493/5) θ(47 π - t) θ(t - 43 π) + (-34/11 sin(1/5 - 12 t) - 11/2 sin(1/11 - 9 t) - 11/6 sin(1/4 - 6 t) - 53/9 sin(4/5 - 2 t) + 5/4 sin(14 t) + 19/9 sin(t + 22/23) + 37/7 sin(3 t + 31/10) + 10/3 sin(4 t + 17/6) + 3 sin(5 t + 4/11) + 35/3 sin(7 t + 21/5) + 137/11 sin(8 t + 37/10) + 17/8 sin(10 t + 5/4) + 17/18 sin(11 t + 9/2) + 10/3 sin(13 t + 33/13) + 5/7 sin(15 t + 35/12) + 1/2 sin(16 t + 1/7) + 13/8 sin(17 t + 29/9) + sin(18 t + 1/2) + 1/4 sin(19 t + 20/9) + 1565/6) θ(43 π - t) θ(t - 39 π) + (-7/13 sin(2/3 - 19 t) - 99/5 sin(4/3 - 11 t) - 11/2 sin(9/10 - 10 t) - 47/24 sin(12/11 - 6 t) - 34/7 sin(7/10 - 5 t) - 13/4 sin(11/8 - 3 t) + 37/2 sin(t + 10/3) + 61/7 sin(2 t + 19/13) + 23/7 sin(4 t + 18/5) + 59/8 sin(7 t + 43/11) + 31/6 sin(8 t + 20/13) + 29/15 sin(9 t + 3/7) + 23/2 sin(12 t + 27/14) + 80/7 sin(13 t + 13/6) + 31/6 sin(14 t + 26/7) + 22/3 sin(15 t + 12/5) + 53/13 sin(16 t + 27/7) + 5/3 sin(17 t + 6/5) + 29/14 sin(18 t + 45/11) + 25/8 sin(20 t + 22/5) + 6344/15) θ(39 π - t) θ(t - 35 π) + (-29/6 sin(3/2 - 3 t) - 8/7 sin(2/3 - 2 t) + 1673/38 sin(t + 4/5) + 7/11 sin(4 t + 3/10) + 13/7 sin(5 t + 13/4) - 2187/5) θ(35 π - t) θ(t - 31 π) + (349/9 sin(t + 3/5) + 11/8 sin(2 t + 19/8) + 7/2 sin(3 t + 30/7) + sin(4 t + 11/12) + 1/2 sin(5 t + 5/3) - 3415/7) θ(31 π - t) θ(t - 27 π) + (-9/4 sin(1/4 - 6 t) - 505/12 sin(3/4 - 2 t) - 4071/22 sin(10/11 - t) + 103/7 sin(3 t + 35/17) + 72/5 sin(4 t + 1/11) + 87/10 sin(5 t + 23/7) - 562/5) θ(27 π - t) θ(t - 23 π) + (229/7 sin(t + 8/5) + 17/2 sin(2 t + 39/11) + 35/9 sin(3 t + 1/4) + 3/2 sin(4 t + 18/5) + 8/3 sin(5 t + 2/5) + 16/7 sin(6 t + 17/5) + 1358/5) θ(23 π - t) θ(t - 19 π) + (-10/9 sin(13/14 - 4 t) - 491/7 sin(1/2 - t) + 10/7 sin(2 t + 18/7) + 4 sin(3 t + 1/10) + 2 sin(5 t + 16/11) + 1/2 sin(6 t + 47/10) + 3961/9) θ(19 π - t) θ(t - 15 π) + (-10/9 sin(17/11 - 4 t) + 471/5 sin(t + 16/9) + 102/5 sin(2 t + 11/3) + 7/4 sin(3 t + 9/7) + 1990/7) θ(15 π - t) θ(t - 11 π) + (-45/11 sin(2/5 - 4 t) + 1288/9 sin(t + 13/4) + 13 sin(2 t + 13/7) + 237/14 sin(3 t + 13/7) + 1/3 sin(5 t + 26/7) + 871/2) θ(11 π - t) θ(t - 7 π) + (-43/21 sin(2/3 - 29 t) - 13/5 sin(1/16 - 28 t) - 73/9 sin(6/5 - 23 t) - 459/5 sin(15/11 - 6 t) - 511/6 sin(1/7 - 5 t) - 744/7 sin(1/2 - 4 t) + 5543/17 sin(t + 8/7) + 251/12 sin(2 t + 16/5) + 501/8 sin(3 t + 17/5) + 401/10 sin(7 t + 1/10) + 133/3 sin(8 t + 11/6) + 141/5 sin(9 t + 9/7) + 67/6 sin(10 t + 26/7) + 361/10 sin(11 t + 1/2) + 122/7 sin(12 t + 21/5) + 349/14 sin(13 t + 33/13) + 73/7 sin(14 t + 1/8) + 112/9 sin(15 t + 31/9) + 12 sin(16 t + 2/3) + 199/20 sin(17 t + 27/11) + 29/5 sin(18 t + 17/4) + 38/7 sin(19 t + 9/5) + 33/5 sin(20 t + 22/7) + 37/12 sin(21 t + 4/3) + 17/7 sin(22 t + 2) + 32/9 sin(24 t + 29/8) + 19/8 sin(25 t + 6/7) + 32/11 sin(26 t + 13/3) + 21/11 sin(27 t + 1/3) + 1138/3) θ(7 π - t) θ(t - 3 π) + (-4437/8 sin(7/6 - t) - 1741/6) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((427/8 sin(t + 33/7) + 591/5 sin(2 t + 33/7) + 89/3 sin(3 t + 11/7) + 49/5 sin(4 t + 11/7) + 29/4 sin(5 t + 33/7) + 17/4 sin(6 t + 33/7) - 8155/11) θ(75 π - t) θ(t - 71 π) + (-103/8 sin(11/7 - 5 t) - 419/9 sin(11/7 - 3 t) + 725/8 sin(t + 11/7) + 254/7 sin(2 t + 11/7) + 13/2 sin(4 t + 8/5) + 44/5 sin(6 t + 11/7) + 3774/7) θ(71 π - t) θ(t - 67 π) + (-44/7 sin(11/7 - 5 t) - 462/13 sin(11/7 - 3 t) - 1893/5 sin(11/7 - t) + 19/4 sin(2 t + 11/7) + 71/12 sin(4 t + 11/7) + 6896/11) θ(67 π - t) θ(t - 63 π) + (-428/7 sin(11/7 - 3 t) + 361/6 sin(t + 11/7) + 280/11 sin(2 t + 11/7) + 67/10 sin(4 t + 11/7) + 3 sin(5 t + 8/5) + 67/7 sin(6 t + 11/7) - 25345/22) θ(63 π - t) θ(t - 59 π) + (-118/7 sin(11/7 - 20 t) - 25/7 sin(14/9 - 18 t) - 23/24 sin(4/3 - 17 t) - 213/7 sin(14/9 - 15 t) - 243/10 sin(17/11 - 12 t) - 361/10 sin(11/7 - 11 t) - 157/5 sin(17/11 - 8 t) - 627/4 sin(11/7 - 5 t) - 609/2 sin(11/7 - 2 t) + 1208/7 sin(t + 33/7) + 512/5 sin(3 t + 8/5) + 16661/49 sin(4 t + 11/7) + 2397/11 sin(6 t + 11/7) + 245/8 sin(7 t + 8/5) + 272/3 sin(9 t + 33/7) + 141/4 sin(10 t + 33/7) + 89/6 sin(13 t + 33/7) + 2/7 sin(14 t + 43/21) + 11/9 sin(16 t + 7/4) + 27/2 sin(19 t + 47/10) + 59/5 sin(21 t + 33/7) + 31/7 sin(22 t + 13/8) + 11/4 sin(23 t + 11/8) - 4451/8) θ(59 π - t) θ(t - 55 π) + (-8/5 sin(4/3 - 24 t) - 17/3 sin(3/2 - 22 t) - 12/7 sin(10/7 - 21 t) - 11/3 sin(7/5 - 20 t) - 64/5 sin(3/2 - 19 t) - 131/8 sin(3/2 - 15 t) - 77/17 sin(13/9 - 14 t) - 233/8 sin(11/7 - 7 t) - 277/2 sin(11/7 - t) + 601/6 sin(2 t + 8/5) + 2933/18 sin(3 t + 8/5) + 322/3 sin(4 t + 8/5) + 157/6 sin(5 t + 8/5) + 10/3 sin(6 t + 13/8) + 799/38 sin(8 t + 8/5) + 59/6 sin(9 t + 51/11) + 161/3 sin(10 t + 8/5) + 19 sin(11 t + 5/3) + 18/5 sin(12 t + 17/10) + 2/5 sin(13 t + 17/8) + 73/11 sin(16 t + 13/8) + 69/4 sin(17 t + 5/3) + 14/3 sin(18 t + 13/8) + 45/13 sin(23 t + 11/7) - 433/4) θ(55 π - t) θ(t - 51 π) + (-18/7 sin(3/2 - 26 t) - 89/8 sin(20/13 - 21 t) - 9/5 sin(23/22 - 16 t) - 1/3 sin(3/5 - 14 t) - 100/7 sin(3/2 - 13 t) - 218/31 sin(20/13 - 10 t) - 71/3 sin(11/7 - 6 t) - 355/4 sin(11/7 - 4 t) - 2783/13 sin(11/7 - 2 t) + 2577/10 sin(t + 33/7) + 923/8 sin(3 t + 11/7) + 204/5 sin(5 t + 8/5) + 71/8 sin(7 t + 8/5) + 9/5 sin(8 t + 5/4) + 377/8 sin(9 t + 11/7) + 12/7 sin(11 t + 8/9) + 329/6 sin(12 t + 11/7) + 191/8 sin(15 t + 11/7) + 69/4 sin(17 t + 11/7) + 10/9 sin(18 t + 11/12) + 51/7 sin(19 t + 14/9) + 32/5 sin(20 t + 8/5) + 3 sin(22 t + 18/11) + 57/7 sin(23 t + 11/7) + 29/10 sin(24 t + 10/7) + 29/8 sin(25 t + 8/5) + 4195/8) θ(51 π - t) θ(t - 47 π) + (-111/5 sin(4/3 - 14 t) - 74/7 sin(7/8 - 13 t) - 195/8 sin(4/3 - 12 t) - 105/8 sin(4/3 - 11 t) - 7/3 sin(4/7 - 7 t) - 58/5 sin(5/4 - 6 t) + 8227/17 sin(t + 33/7) + 2244/5 sin(2 t + 8/5) + 1631/16 sin(3 t + 13/8) + 220/3 sin(4 t + 47/10) + 54/7 sin(5 t + 13/10) + 126/11 sin(8 t + 47/10) + 9/2 sin(9 t + 59/13) + 205/17 sin(10 t + 14/9) + 114/11 sin(15 t + 20/13) + 64/7 sin(16 t + 41/9) + 142/13 sin(17 t + 12/7) + 20425/24) θ(47 π - t) θ(t - 43 π) + (-12/13 sin(11/7 - 19 t) - 7/4 sin(5/4 - 15 t) - 23/6 sin(5/4 - 11 t) - 243/10 sin(3/4 - 8 t) - 144/7 sin(1/11 - 7 t) + 45/7 sin(3 t) + 18/7 sin(t + 23/12) + 3/4 sin(2 t + 17/4) + 23/7 sin(4 t + 1/6) + 46/13 sin(5 t + 19/7) + 23/9 sin(6 t + 3/7) + 79/7 sin(9 t + 10/7) + 65/22 sin(10 t + 47/12) + 46/9 sin(12 t + 53/26) + 12/5 sin(13 t + 37/8) + 7/3 sin(14 t + 7/5) + 7/6 sin(16 t + 37/19) + 9/7 sin(17 t + 33/7) + 21/10 sin(18 t + 21/10) + 6924/5) θ(43 π - t) θ(t - 39 π) + (-28/9 sin(2/5 - 20 t) - 45/8 sin(4/3 - 18 t) - 32/5 sin(8/7 - 16 t) - 64/7 sin(14/9 - 14 t) - 152/5 sin(1/4 - 11 t) - 39/5 sin(1/6 - 10 t) - 8/3 sin(1/22 - 4 t) - 13/9 sin(4/7 - 2 t) + 61/12 sin(t + 47/16) + 39/7 sin(3 t + 22/5) + 34/7 sin(5 t + 41/14) + 10/9 sin(6 t + 10/3) + 32/5 sin(7 t + 31/7) + 39/5 sin(8 t + 16/7) + 20/7 sin(9 t + 70/23) + 56/3 sin(12 t + 29/9) + 339/17 sin(13 t + 13/4) + 108/7 sin(15 t + 17/5) + 66/13 sin(17 t + 19/6) + 3 sin(19 t + 32/13) + 36023/31) θ(39 π - t) θ(t - 35 π) + (-137/4 sin(1/6 - t) + 16/7 sin(2 t + 13/6) + 2/3 sin(3 t + 43/10) + 13/8 sin(4 t + 19/5) + 17/11 sin(5 t + 6/5) + 9527/6) θ(35 π - t) θ(t - 31 π) + (-1223/36 sin(1/3 - t) + 8/5 sin(2 t + 19/5) + 27/11 sin(3 t + 19/7) + 3/8 sin(4 t + 9/2) + 13/10 sin(5 t + 2/5) + 9719/6) θ(31 π - t) θ(t - 27 π) + ((835 sin(t))/7 + 160/11 sin(2 t + 1/2) + 151/5 sin(3 t + 5/2) + 115/7 sin(4 t + 2/3) + 95/12 sin(5 t + 31/9) + 18/5 sin(6 t + 1/8) + 4455/8) θ(27 π - t) θ(t - 23 π) + (-11/6 sin(2/3 - 4 t) - 13/4 sin(8/7 - 3 t) + 231/4 sin(t + 22/7) + 31/7 sin(2 t + 5/6) + 21/10 sin(5 t + 11/4) + 21/11 sin(6 t + 4/5) + 1381) θ(23 π - t) θ(t - 19 π) + (-6/5 sin(3/5 - 6 t) - 7/5 sin(4/3 - 5 t) - 23/4 sin(20/19 - 3 t) + 2431/27 sin(t + 37/8) + 27/11 sin(2 t + 41/9) + 10/11 sin(4 t + 23/5) + 8191/7) θ(19 π - t) θ(t - 15 π) + (-7 sin(2/3 - 4 t) + 773/5 sin(t + 33/10) + 64/7 sin(2 t + 3/4) + 57/10 sin(3 t + 3/5) + 9938/7) θ(15 π - t) θ(t - 11 π) + (-10/3 sin(10/11 - 5 t) - 59/8 sin(1/5 - 4 t) + 1667/8 sin(t + 41/9) + 95/8 sin(2 t + 2/7) + 67/6 sin(3 t + 13/3) + 11165/9) θ(11 π - t) θ(t - 7 π) + (-3 sin(24/23 - 29 t) - 11/5 sin(4/5 - 27 t) - 22/5 sin(5/9 - 25 t) - 50/9 sin(20/13 - 17 t) - 59/7 sin(1/8 - 16 t) - 53/5 sin(3/2 - 13 t) - 113/6 sin(20/13 - 10 t) - 79/2 sin(3/10 - 9 t) - 1513/24 sin(8/9 - 6 t) - 4219/19 sin(1/7 - t) + 418/7 sin(2 t + 12/7) + 343/8 sin(3 t + 17/11) + 355/2 sin(4 t + 11/7) + 117/4 sin(5 t + 14/3) + 155/3 sin(7 t + 1/11) + 25/4 sin(8 t + 17/9) + 39/2 sin(11 t + 18/5) + 53/5 sin(12 t + 11/10) + 87/11 sin(14 t + 18/5) + 37/6 sin(15 t + 10/3) + 2/5 sin(18 t + 97/24) + 85/14 sin(19 t + 55/14) + 15/16 sin(20 t + 35/18) + 17/5 sin(21 t + 11/3) + 17/6 sin(22 t + 13/5) + 15/7 sin(23 t + 12/5) + 31/7 sin(24 t + 9/7) + 12/7 sin(26 t + 27/11) + 29/7 sin(28 t + 6/5) - 8885/6) θ(7 π - t) θ(t - 3 π) + (2739/5 sin(t + 32/9) + 2317/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((13/3 sin(t + 23/6) + 207/4 sin(2 t + 23/5) + 7/6 sin(3 t + 31/9) + 17/3 sin(4 t + 5/4) + 12/5 sin(5 t + 3/7) + 37/5 sin(6 t + 5/4) + 8/7 sin(7 t + 23/6) + 4/9 sin(8 t + 1) + 4/9 sin(9 t + 12/5) + 43/21 sin(10 t + 22/5) - 214/5) θ(43 π - t) θ(t - 39 π) + (-2 sin(1/33 - 6 t) + 18/7 sin(21 t) + 1399/3 sin(t + 10/11) + 286/5 sin(2 t + 27/8) + 137/4 sin(3 t + 35/12) + 86/5 sin(4 t + 33/17) + 75/2 sin(5 t + 2) + 25 sin(7 t + 9/8) + 63/8 sin(8 t + 14/3) + 58/7 sin(9 t + 1/5) + 29/3 sin(10 t + 19/5) + 11/3 sin(11 t + 8/7) + 44/7 sin(12 t + 24/7) + 67/17 sin(13 t + 6/7) + 11/2 sin(14 t + 13/4) + 25/7 sin(15 t + 4/7) + 41/14 sin(16 t + 23/7) + 9/5 sin(17 t + 1/4) + 13/4 sin(18 t + 17/5) + 19/7 sin(19 t + 5/7) + 8/3 sin(20 t + 10/3) - 47/4) θ(39 π - t) θ(t - 35 π) + (-15/16 sin(13/9 - 8 t) + 977/4 sin(t + 7/5) + 78/5 sin(2 t + 18/5) + 77/4 sin(3 t + 10/7) + 62/9 sin(4 t + 21/5) + 29/10 sin(5 t + 11/8) + 13/4 sin(6 t + 29/8) + 9/5 sin(7 t + 1) + 8/9 sin(9 t + 1/13) + 1/2 sin(10 t + 23/5) + 341/2) θ(35 π - t) θ(t - 31 π) + (-1/4 sin(6/5 - 17 t) - 612/5 sin(1/2 - t) + 896/5 sin(2 t + 20/7) + 269/7 sin(3 t + 3) + 11/2 sin(4 t + 23/8) + 6 sin(5 t + 14/5) + 22/5 sin(6 t + 3/7) + 39/5 sin(7 t + 1/6) + 17/4 sin(8 t + 1/3) + 15/8 sin(9 t + 7/6) + 2/3 sin(10 t + 8/5) + 3/8 sin(11 t + 12/5) + 21/8 sin(12 t + 10/3) + 63/31 sin(13 t + 34/11) + 7/4 sin(14 t + 13/3) + 3/4 sin(15 t + 19/5) + 3/4 sin(16 t + 6/7) + 4/9 sin(18 t + 14/13) + 6/5 sin(19 t + 5/7) + 1/4 sin(20 t + 2) + 1/8 sin(21 t + 9/4) - 4078/9) θ(31 π - t) θ(t - 27 π) + (-50/17 sin(4/7 - 9 t) - 56/3 sin(5/7 - 2 t) + 1319/5 sin(t + 1) + 61/4 sin(3 t + 3/4) + 77/5 sin(4 t + 31/8) + 20/3 sin(5 t + 1/6) + 51/10 sin(6 t + 12/5) + 14/5 sin(7 t + 1/3) + 4/5 sin(8 t + 29/8) + 11/7 sin(10 t + 13/5) - 309/7) θ(27 π - t) θ(t - 23 π) + (-41/5 sin(4/5 - 23 t) - 29/3 sin(7/5 - 20 t) - 6/5 sin(1/8 - 9 t) - 81/16 sin(9/7 - 8 t) - 11/2 sin(3/2 - 7 t) - 25/6 sin(3/5 - 2 t) + 3 sin(t + 13/4) + 34/5 sin(3 t + 3/8) + 31/6 sin(4 t + 4/3) + 29/6 sin(5 t + 16/5) + 53/13 sin(6 t + 13/5) + 21/5 sin(10 t + 11/10) + 46/7 sin(11 t + 3/4) + 79/8 sin(12 t + 3/8) + 23/3 sin(13 t + 14/3) + 15/7 sin(14 t + 7/6) + 43/5 sin(15 t + 25/7) + 145/9 sin(16 t + 19/6) + 197/28 sin(17 t + 13/5) + 23/2 sin(18 t + 9/4) + 46/5 sin(19 t + 20/7) + 18/7 sin(21 t + 7/2) + 51/5 sin(22 t + 17/7) + 21/11 sin(24 t + 1/3) + 11/5 sin(25 t + 33/7) + 62/9 sin(26 t + 5/3) + 419/5) θ(23 π - t) θ(t - 19 π) + (-17/5 sin(1/5 - 22 t) - 73/8 sin(6/5 - 14 t) - 37/5 sin(2/3 - 13 t) - 58/5 sin(1 - 12 t) - 139/20 sin(2/3 - 9 t) - 14/5 sin(4/3 - 5 t) - 14/5 sin(3/7 - 2 t) + 2 sin(t + 47/16) + 6/5 sin(3 t + 19/6) + 7/5 sin(4 t + 9/4) + 19/3 sin(6 t + 106/35) + 4/3 sin(7 t + 17/7) + 6/5 sin(8 t + 14/15) + 21/10 sin(10 t + 43/11) + 69/10 sin(11 t + 1/14) + 50/9 sin(15 t + 15/4) + 269/18 sin(16 t + 13/3) + 59/7 sin(17 t + 4/7) + 11/6 sin(18 t + 14/13) + 23/4 sin(19 t + 53/18) + 29/4 sin(20 t + 1/4) + 13/4 sin(21 t + 23/5) + 11/3 sin(23 t + 12/5) + 13/4 sin(24 t + 11/5) + 19/7 sin(25 t + 8/5) + 7/2 sin(26 t + 23/5) - 1333/7) θ(19 π - t) θ(t - 15 π) + (781/5 sin(t + 13/4) + 5/4 sin(2 t + 10/7) + 784/5) θ(15 π - t) θ(t - 11 π) + (-19/5 sin(4/3 - 2 t) - 1530/11 sin(1/4 - t) + 22/3 sin(3 t + 2/5) - 2053/8) θ(11 π - t) θ(t - 7 π) + (-5/3 sin(7/5 - 11 t) - 27/4 sin(1/2 - 7 t) - 97/3 sin(1 - 5 t) - 386/9 sin(5/4 - 3 t) - 3110/7 sin(10/7 - t) + 209/8 sin(2 t + 5/4) + 38/5 sin(4 t + 5/7) + 71/18 sin(6 t + 1/9) + 14/3 sin(8 t + 13/14) + 13/7 sin(9 t + 1/8) + 21/20 sin(10 t + 19/10) + 9/8 sin(12 t + 15/7) + 1/4 sin(13 t + 1/13) + 3/2 sin(14 t + 25/12) + 1/6 sin(15 t + 15/4) + 16/15 sin(16 t + 7/3) + 5/9 sin(17 t + 16/7) + 80/7) θ(7 π - t) θ(t - 3 π) + (-4/5 sin(1/2 - 13 t) - 2 sin(7/6 - 9 t) - 5/3 sin(2/3 - 8 t) - 23/6 sin(1/5 - 5 t) + 4776/7 sin(t + 19/5) + 499/8 sin(2 t + 21/5) + 39/5 sin(3 t + 13/7) + 113/3 sin(4 t + 19/8) + 18/5 sin(6 t + 2/3) + 11/4 sin(7 t + 2/3) + 25/12 sin(10 t + 27/7) + 1/2 sin(11 t + 9/5) + 13/7 sin(12 t + 13/5) + 14/9 sin(14 t + 12/13) + 1/2 sin(15 t + 24/7) + 23/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-3/4 sin(3/2 - 6 t) - 16/5 sin(6/5 - 5 t) + 85/14 sin(t + 30/7) + 15/2 sin(2 t + 12/7) + 11/3 sin(3 t + 3/5) + 93/2 sin(4 t + 11/8) + 11/5 sin(7 t + 4/5) + 22/5 sin(8 t + 6/5) + 3/4 sin(9 t + 15/4) + sin(10 t + 19/9) + 2173/5) θ(43 π - t) θ(t - 39 π) + (-4/3 sin(4/5 - 15 t) - 25/4 sin(7/5 - 11 t) - 27/4 sin(8/9 - 9 t) - 129/5 sin(1/2 - 7 t) - 26 sin(4/5 - 6 t) - 31/15 sin(6/7 - 3 t) - 35/2 sin(3/5 - 2 t) + 179/5 sin(t + 40/9) + 661/30 sin(4 t + 1/32) + 139/4 sin(5 t + 5/6) + 137/8 sin(8 t + 18/5) + 36/5 sin(10 t + 7/8) + 26/7 sin(12 t + 13/3) + 25/13 sin(13 t + 5/3) + 4/9 sin(14 t + 35/12) + 5/4 sin(16 t + 29/8) + 8/5 sin(17 t + 10/7) + 1/2 sin(18 t + 26/7) + 12/5 sin(19 t + 2/5) + 14/9 sin(20 t + 13/5) + 3/4 sin(21 t + 1/4) - 435/7) θ(39 π - t) θ(t - 35 π) + (-235/7 sin(1/5 - 2 t) - 1160/7 sin(1/4 - t) + 101/7 sin(3 t + 9/2) + 71/7 sin(4 t + 7/4) + 5 sin(5 t + 1/22) + 2 sin(6 t + 1) + 16/5 sin(7 t + 22/5) + 38/13 sin(8 t + 2) + sin(9 t + 3/5) + 9/7 sin(10 t + 3/4) - 3848/5) θ(35 π - t) θ(t - 31 π) + (-1/3 sin(17/16 - 20 t) - 5/7 sin(11/12 - 19 t) - 3/5 sin(7/5 - 18 t) - 5/2 sin(3/2 - 6 t) + 779/6 sin(t + 13/3) + 491/3 sin(2 t + 6/7) + 233/8 sin(3 t + 1/2) + 63/8 sin(4 t + 2/5) + 10 sin(5 t + 7/5) + 37/7 sin(7 t + 29/7) + 71/14 sin(8 t + 19/5) + 13/6 sin(9 t + 19/5) + 13/7 sin(10 t + 19/5) + 10/7 sin(11 t + 5/4) + 9/5 sin(12 t + 13/9) + 8/5 sin(13 t + 2) + sin(14 t + 8/5) + 5/6 sin(15 t + 4/3) + 4/5 sin(17 t + 31/8) + 1/4 sin(21 t + 6/7) - 4575/7) θ(31 π - t) θ(t - 27 π) + (-29/10 sin(10/9 - 9 t) - 4/7 sin(4/7 - 7 t) - 1243/7 sin(3/4 - t) + 204/7 sin(2 t + 2/5) + 54/5 sin(3 t + 14/3) + 33/4 sin(4 t + 18/5) + 17/5 sin(5 t + 13/3) + 23/5 sin(6 t + 15/8) + 6/5 sin(8 t + 8/9) + 5/6 sin(10 t + 16/5) - 506) θ(27 π - t) θ(t - 23 π) + (-15/4 sin(1/14 - 25 t) - 101/17 sin(4/3 - 21 t) - 309/11 sin(11/7 - 16 t) - 117/8 sin(9/8 - 15 t) - 39/5 sin(3/5 - 8 t) - 89/10 sin(3/5 - 7 t) - 125/18 sin(13/9 - 3 t) - 38/5 sin(5/4 - t) + 23/3 sin(2 t + 12/13) + 57/5 sin(4 t + 11/7) + 63/8 sin(5 t + 15/4) + 11/3 sin(6 t + 5/2) + 11/6 sin(9 t + 18/7) + 13/2 sin(10 t + 5/3) + 7 sin(11 t + 13/5) + 53/4 sin(12 t + 2) + 28/3 sin(13 t + 1/6) + 19/7 sin(14 t + 5/2) + 73/7 sin(17 t + 33/8) + 101/7 sin(18 t + 15/4) + 113/8 sin(19 t + 22/5) + 89/6 sin(20 t + 1/4) + 227/12 sin(22 t + 15/4) + 97/7 sin(23 t + 2/3) + 3/8 sin(24 t + 2/3) + 63/5 sin(26 t + 3) + 868/3) θ(23 π - t) θ(t - 19 π) + (-20/3 sin(3/5 - 26 t) - 77/13 sin(4/9 - 21 t) - 28 sin(3/5 - 16 t) - 28/3 sin(3/4 - 15 t) - 13/5 sin(5/7 - 10 t) - 62/9 sin(5/4 - 6 t) - 35/4 sin(9/8 - 2 t) + 20/3 sin(t + 6/7) + 169/24 sin(3 t + 7/2) + 24/5 sin(4 t + 11/5) + 21/2 sin(5 t + 1/2) + 7/2 sin(7 t + 19/6) + 25/12 sin(8 t + 8/3) + 76/7 sin(9 t + 14/13) + 72/7 sin(11 t + 8/5) + 115/6 sin(12 t + 2/5) + 32/3 sin(13 t + 2/3) + 58/5 sin(14 t + 3/5) + 209/14 sin(17 t + 2) + 23/4 sin(18 t + 15/7) + 29/3 sin(19 t + 41/9) + 111/8 sin(20 t + 8/5) + 31/6 sin(22 t + 29/28) + 13/2 sin(23 t + 13/4) + 26/5 sin(24 t + 24/7) + 51/7 sin(25 t + 19/6) + 917/3) θ(19 π - t) θ(t - 15 π) + (-1615/8 sin(10/7 - t) + 17/9 sin(2 t + 1/7) + 2377/9) θ(15 π - t) θ(t - 11 π) + (-39/4 sin(11/7 - 3 t) - 29/10 sin(1/4 - 2 t) + 1543/8 sin(t + 14/3) + 1177/4) θ(11 π - t) θ(t - 7 π) + (-7/6 sin(3/5 - 12 t) - 13/5 sin(1/11 - 10 t) - 46/5 sin(2/7 - 8 t) - 33/2 sin(5/6 - 6 t) - 169/4 sin(8/7 - 4 t) + 179/5 sin(t + 3/5) + 975/7 sin(2 t + 9/5) + 119/4 sin(3 t + 7/8) + 13 sin(5 t + 1/3) + 86/7 sin(7 t + 2/3) + 76/11 sin(9 t + 2/3) + 17/5 sin(11 t + 10/7) + 18/7 sin(13 t + 3/2) + 4/5 sin(14 t + 10/3) + 13/6 sin(15 t + 9/4) + 11/7 sin(16 t + 73/18) + 5/4 sin(17 t + 8/5) + 2958/5) θ(7 π - t) θ(t - 3 π) + (-5/4 sin(1/5 - 10 t) - 3044/5 sin(9/10 - t) + 1/5 sin(14 t) + 147/2 sin(2 t + 13/5) + 53/5 sin(3 t + 37/12) + 211/8 sin(4 t + 39/10) + 23/9 sin(5 t + 7/2) + 51/10 sin(6 t + 19/10) + 17/7 sin(7 t + 15/4) + 7/5 sin(8 t + 22/5) + 39/19 sin(9 t + 2/5) + 8/5 sin(11 t + 5/6) + 2/3 sin(12 t + 11/5) + 2 sin(13 t + 11/3) + 2/7 sin(15 t + 24/7) + 779/6) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
パラメトリック方程式
x(t) = ((-28/9 sin(1/11 - 10 t) - 41/6 sin(1/6 - 6 t) - 113/3 sin(1/6 - 2 t) - 1485/14 sin(1/3 - t) + 29/7 sin(12 t) + 107/5 sin(3 t + 17/6) + 41/5 sin(4 t + 3/7) + 44/5 sin(5 t + 17/5) + 28/5 sin(7 t + 3) + 41/7 sin(8 t + 1/9) + 19/4 sin(9 t + 10/3) + 25/7 sin(11 t + 3) - 1647/4) θ(123 π - t) θ(t - 119 π) + (-5/7 sin(1/12 - 12 t) - sin(4/5 - 10 t) - 46/9 sin(1/15 - 3 t) + 27/7 sin(t + 17/4) + 5/3 sin(2 t + 8/7) + 23/12 sin(4 t + 4/5) + 72/5 sin(5 t + 24/7) + 5/2 sin(6 t + 13/4) + 3/4 sin(7 t + 14/5) + 2/3 sin(8 t + 13/3) + 6/5 sin(9 t + 5/2) + sin(11 t + 17/7) + 631) θ(119 π - t) θ(t - 115 π) + (-11 sin(9/10 - 6 t) - 29/3 sin(8/9 - 5 t) + 17/7 sin(t + 23/8) + 17/3 sin(2 t + 17/5) + 15/2 sin(3 t + 20/7) + 28/5 sin(4 t + 16/5) + 11/2 sin(7 t + 3) + 13/5 sin(8 t + 23/5) + sin(9 t + 19/6) + 1/3 sin(10 t + 17/5) + 3/4 sin(11 t + 7/2) + 7/5 sin(12 t + 1/2) + 5019/10) θ(115 π - t) θ(t - 111 π) + (-1/3 sin(7/8 - 10 t) - 7/5 sin(3/5 - 8 t) - 5/4 sin(1/5 - 7 t) - 8/5 sin(4/3 - 6 t) + 3/5 sin(9 t) + 314/5 sin(t + 7/3) + 73/4 sin(2 t + 7/2) + 28/3 sin(3 t + 5/2) + 4 sin(4 t + 27/7) + 1/2 sin(5 t + 11/3) + 3/4 sin(11 t + 3/2) + 1/2 sin(12 t + 8/3) - 177/4) θ(111 π - t) θ(t - 107 π) + (-1/4 sin(1 - 11 t) - 8/7 sin(3/4 - 10 t) - 2/5 sin(2/3 - 9 t) - 1/2 sin(4/3 - 7 t) - 13/3 sin(5/4 - 4 t) + 1793/16 sin(t + 1/3) + 16/3 sin(2 t + 17/5) + 56/5 sin(3 t + 23/5) + 3/2 sin(5 t + 17/5) + 9/8 sin(6 t + 9/4) + 4/3 sin(8 t + 1/3) + 1/4 sin(12 t + 5/6) + 38) θ(107 π - t) θ(t - 103 π) + (-1/13 sin(6/5 - 12 t) - 5/4 sin(3/5 - 4 t) + 3/7 sin(9 t) + 239/5 sin(t + 2/5) + 127/8 sin(2 t + 7/5) + 13/3 sin(3 t + 17/4) + 1/3 sin(5 t + 10/3) + 5/4 sin(6 t + 5/3) + 10/11 sin(7 t + 17/6) + 2/3 sin(8 t + 8/9) + 1/3 sin(10 t + 5/4) + 1/5 sin(11 t + 13/3) + 325/4) θ(103 π - t) θ(t - 99 π) + (-3/5 sin(2/3 - 11 t) - sin(4/3 - 8 t) - 40/13 sin(7/8 - 5 t) + 307/4 sin(t + 13/5) + 8 sin(2 t + 22/5) + 28/5 sin(3 t + 14/3) + 14/3 sin(4 t + 9/4) + 16/5 sin(6 t + 10/3) + 13/6 sin(7 t + 1/8) + sin(9 t + 1) + 1/4 sin(10 t + 7/3) + 3/4 sin(12 t + 19/10) + 985/4) θ(99 π - t) θ(t - 95 π) + (-2/3 sin(4/3 - 9 t) - 17/4 sin(2/3 - 2 t) + 351/4 sin(t + 12/5) + 57/8 sin(3 t + 27/7) + 5/4 sin(4 t + 25/12) + 7/5 sin(5 t + 13/3) + 4/3 sin(6 t + 11/3) + 13/12 sin(7 t + 35/9) + 1/10 sin(8 t + 15/14) + 2/3 sin(11 t + 3/4) + 1/4 sin(12 t + 12/5) + 1661/6) θ(95 π - t) θ(t - 91 π) + (-2/3 sin(11/7 - 11 t) - 9/10 sin(1/7 - 10 t) - 6/7 sin(5/4 - 9 t) - 23/4 sin(4/3 - 2 t) + 1408/5 sin(t + 6/5) + 7/3 sin(3 t + 15/4) + 38/13 sin(4 t + 9/5) + 5/2 sin(5 t + 22/7) + 7/2 sin(6 t + 4/3) + 18/17 sin(7 t + 1/3) + 2 sin(8 t + 4/5) + 2/3 sin(12 t + 3/7) + 1595/3) θ(91 π - t) θ(t - 87 π) + (-2/3 sin(1/3 - 11 t) - 37/18 sin(1/4 - 3 t) + 5/2 sin(5 t) + 670/11 sin(t + 3/5) + 14 sin(2 t + 18/5) + 31/7 sin(4 t + 5/2) + 8/5 sin(6 t + 18/5) + 5/6 sin(7 t + 1/3) + 5/3 sin(8 t + 3) + 3/2 sin(9 t + 1/10) + 5/4 sin(10 t + 10/3) + 8/9 sin(12 t + 3) + 609/2) θ(87 π - t) θ(t - 83 π) + (-1/4 sin(5/4 - 12 t) - 1/3 sin(2/3 - 11 t) - sin(1/2 - 9 t) - 7/6 sin(1/2 - 8 t) - 465/4 sin(7/5 - t) + 57/4 sin(2 t + 33/16) + 29/4 sin(3 t + 22/7) + 106/15 sin(4 t + 6/5) + 2/5 sin(5 t + 11/3) + 24/7 sin(6 t + 17/8) + 3/2 sin(7 t + 9/2) + sin(10 t + 1) - 1373/4) θ(83 π - t) θ(t - 79 π) + (-3/4 sin(3/4 - 9 t) - 4/7 sin(3/2 - 7 t) - 3/2 sin(2/5 - 3 t) + 212/5 sin(t + 9/2) + 45/4 sin(2 t + 12/7) + 9/4 sin(4 t + 8/5) + 9/4 sin(5 t + 31/7) + 9/10 sin(6 t + 13/5) + 1/2 sin(8 t + 10/7) + 1/5 sin(10 t + 6/5) + 1/6 sin(11 t + 14/3) + 1/3 sin(12 t + 15/7) - 503/3) θ(79 π - t) θ(t - 75 π) + (-12/5 sin(1/4 - 5 t) - 67/5 sin(9/8 - 3 t) - 285/2 sin(4/3 - t) + 18/7 sin(7 t) + sin(11 t) + 34/7 sin(2 t + 33/8) + 2/3 sin(4 t + 17/7) + 11/5 sin(6 t + 28/9) + 17/7 sin(8 t + 8/3) + 2/3 sin(9 t + 2/7) + 8/5 sin(10 t + 8/3) + 5/3 sin(12 t + 17/6) - 692/7) θ(75 π - t) θ(t - 71 π) + (-1/3 sin(1/3 - 10 t) + 7/6 sin(8 t) + 193/5 sin(t + 32/7) + 25/4 sin(2 t + 46/15) + 11/4 sin(3 t + 11/4) + 7/6 sin(4 t + 15/4) + 7/4 sin(5 t + 15/7) + 3/4 sin(6 t + 1/5) + 3/4 sin(7 t + 31/10) + 3/5 sin(9 t + 13/4) + 2/5 sin(11 t + 11/3) + 1/4 sin(12 t + 1/5) + 111/2) θ(71 π - t) θ(t - 67 π) + (-3/2 sin(1/7 - 8 t) - 6/7 sin(7/5 - 4 t) - 96 sin(1/7 - t) + 27/2 sin(2 t + 1/7) + 34/3 sin(3 t + 38/13) + 9/4 sin(5 t + 17/5) + 18/5 sin(6 t + 1/23) + 8/5 sin(7 t + 26/9) + 15/8 sin(9 t + 31/10) + 3/2 sin(10 t + 1/8) + 5/4 sin(11 t + 13/4) + 10/9 sin(12 t + 1/10) + 5) θ(67 π - t) θ(t - 63 π) + (-2 sin(5/6 - 6 t) - 15/2 sin(5/4 - 5 t) - 7 sin(1/3 - 4 t) - 11/2 sin(1/7 - 3 t) + 25 sin(t + 2/3) + 37/3 sin(2 t + 4/3) + 47/23 sin(7 t + 17/4) + 3/4 sin(8 t + 5/4) + 5/4 sin(9 t + 10/3) + 3/2 sin(10 t + 5/6) + 3/4 sin(11 t + 8/3) + 10/7 sin(12 t + 4/5) - 2228/5) θ(63 π - t) θ(t - 59 π) + (-1/4 sin(12/13 - 12 t) - sin(8/9 - 7 t) - 5/6 sin(2/5 - 6 t) - 59/10 sin(5/4 - 2 t) + 1/2 sin(11 t) + 66 sin(t + 1/3) + 6 sin(3 t + 65/16) + 7/5 sin(4 t + 8/3) + 39/19 sin(5 t + 5/3) + 2/7 sin(8 t + 23/5) + 5/7 sin(9 t + 9/4) + 1/14 sin(10 t + 7/5) - 379) θ(59 π - t) θ(t - 55 π) + (-31/3 sin(1/6 - 6 t) - 940/7 sin(2/3 - t) + 547/6 sin(2 t + 23/8) + 52 sin(3 t + 1/5) + 383/5 sin(4 t + 1/7) + 113/5 sin(5 t + 1) + 43/7 sin(7 t + 4) + 66/13 sin(8 t + 73/18) + 91/15 sin(9 t + 51/13) + 18/5 sin(10 t + 1/25) + 19/4 sin(11 t + 31/10) + 23/7 sin(12 t + 23/5) - 3968/7) θ(55 π - t) θ(t - 51 π) + (-39/19 sin(1/3 - 8 t) - 100/9 sin(6/5 - 7 t) - 71/2 sin(7/5 - 4 t) - 252/5 sin(3/5 - 2 t) + 318/5 sin(t + 10/3) + 706/15 sin(3 t + 3/2) + 324/7 sin(5 t + 25/6) + 59/5 sin(6 t + 33/8) + 8/5 sin(9 t + 3/5) + 25/6 sin(10 t + 5/3) + 6/5 sin(11 t + 12/5) + 13/5 sin(12 t + 9/4) - 3137/7) θ(51 π - t) θ(t - 47 π) + (-29/5 sin(3/7 - 9 t) - 41/2 sin(3/2 - 6 t) - 34/3 sin(9/10 - 5 t) - 461/4 sin(5/4 - 2 t) + 1331/4 sin(t + 17/5) + 402/13 sin(3 t + 4/5) + 99/7 sin(4 t + 27/7) + 207/7 sin(7 t + 24/7) + 96/5 sin(8 t + 21/11) + 46/5 sin(10 t + 8/3) + 4 sin(11 t + 1/5) + 17/4 sin(12 t + 7/3) - 2463/4) θ(47 π - t) θ(t - 43 π) + (-122/11 sin(3/4 - 5 t) + 1551/7 sin(t + 13/3) + 177/5 sin(2 t + 11/7) + 9/5 sin(3 t + 2/5) + 57/2 sin(4 t + 1/5) + 54/5 sin(6 t + 1/5) + 5/6 sin(7 t + 17/6) + 11/2 sin(8 t + 7/3) + 16/5 sin(9 t + 31/7) + 11/6 sin(10 t + 11/3) + 3/4 sin(11 t + 23/5) + 13/5 sin(12 t + 3) - 1254/5) θ(43 π - t) θ(t - 39 π) + (-sin(1/22 - 12 t) - 10/7 sin(7/8 - 10 t) - 7/4 sin(2/3 - 8 t) - 9/4 sin(2/3 - 6 t) - 91/3 sin(1/4 - 3 t) - 70/3 sin(8/9 - 2 t) - 1145/4 sin(8/7 - t) + 17/6 sin(4 t) + 64/5 sin(5 t + 2/3) + 29/4 sin(7 t + 8/5) + 3 sin(9 t + 25/12) + 8/5 sin(11 t + 38/13) - 508/5) θ(39 π - t) θ(t - 35 π) + (-4/5 sin(11/7 - 12 t) - 39/10 sin(2/5 - 10 t) - 64/3 sin(2/3 - 5 t) - 577/7 sin(6/7 - t) + 153/5 sin(2 t + 5/2) + 39/8 sin(3 t + 13/5) + 188/7 sin(4 t + 9/5) + 4 sin(6 t + 25/8) + 22/5 sin(7 t + 10/9) + 35/6 sin(8 t + 5/3) + 25/6 sin(9 t + 9/5) + 10/3 sin(11 t + 12/5) - 7753/12) θ(35 π - t) θ(t - 31 π) + (-2 sin(3/4 - 7 t) - 104/7 sin(5/7 - 2 t) + 486/5 sin(t + 15/4) + 49/4 sin(3 t + 14/3) + 57/5 sin(4 t + 17/7) + 48/7 sin(5 t + 5/4) + 14/3 sin(6 t + 2/3) + 7/6 sin(8 t + 32/7) + 5/2 sin(9 t + 11/3) + 1/2 sin(10 t + 15/8) + 3/5 sin(11 t + 5/4) + 2/5 sin(12 t + 13/3) - 862/5) θ(31 π - t) θ(t - 27 π) + (-11/5 sin(3/5 - 11 t) - 5 sin(6/7 - 9 t) - 224/5 sin(5/4 - 4 t) - 997/6 sin(3/2 - t) + 61/4 sin(2 t + 23/11) + 457/8 sin(3 t + 9/4) + 10 sin(5 t + 13/4) + 31/10 sin(6 t + 4/5) + 80/7 sin(7 t + 10/7) + 13/2 sin(8 t + 17/5) + 93/7 sin(10 t + 8/5) + 59/12 sin(12 t + 5/4) - 416) θ(27 π - t) θ(t - 23 π) + (-2/5 sin(3/2 - 17 t) - 8/3 sin(4/3 - 16 t) - 9/4 sin(9/10 - 15 t) - 3/5 sin(2/3 - 14 t) - 21/4 sin(1/2 - 9 t) - 42 sin(5/6 - 2 t) + 7/2 sin(13 t) + 513/5 sin(t + 25/8) + 90/7 sin(3 t + 9/4) + 10 sin(4 t + 2/3) + 197/9 sin(5 t + 11/3) + 67/5 sin(6 t + 13/4) + 54/5 sin(7 t + 25/7) + 17/6 sin(8 t + 1) + 13/2 sin(10 t + 4/7) + 49/6 sin(11 t + 1/4) + 77/13 sin(12 t + 1/3) + 7/4 sin(18 t + 1/5) + 2234/11) θ(23 π - t) θ(t - 19 π) + (-5/6 sin(4/3 - 22 t) - 25/8 sin(4/5 - 21 t) - 9/4 sin(11/10 - 20 t) - 9/4 sin(3/2 - 18 t) - 17/4 sin(6/5 - 17 t) - 37/3 sin(1/11 - 16 t) - 3/2 sin(1/2 - 10 t) - 3 sin(3/4 - 9 t) - 7/6 sin(1 - 3 t) + 4/5 sin(t + 15/8) + 2 sin(2 t + 3) + 11/3 sin(4 t + 21/5) + 10/3 sin(5 t + 18/7) + 2 sin(6 t + 11/5) + 13/4 sin(7 t + 1/6) + 13/5 sin(8 t + 1/3) + 22/7 sin(11 t + 5/4) + 22/5 sin(12 t + 15/4) + 42/5 sin(13 t + 9/4) + 37/6 sin(14 t + 11/5) + 47/5 sin(15 t + 11/3) + 18/7 sin(19 t + 2/3) + 45/22 sin(23 t + 1/15) + 1355/6) θ(19 π - t) θ(t - 15 π) + (-13/4 sin(10/11 - 19 t) - 34/5 sin(6/5 - 17 t) - 25/7 sin(9/8 - 15 t) - 57/5 sin(10/7 - 14 t) - 15/8 sin(10/9 - 7 t) - 3/5 sin(4/3 - 5 t) - 19/6 sin(6/5 - 4 t) - 12/5 sin(1/3 - t) + 7/2 sin(2 t + 13/3) + 13/5 sin(3 t + 29/14) + 27/5 sin(6 t + 57/14) + 17/8 sin(8 t + 1/8) + 20/7 sin(9 t + 18/5) + 7/2 sin(10 t + 18/7) + 145/18 sin(11 t + 13/7) + 38/5 sin(12 t + 3/2) + 21/5 sin(13 t + 15/8) + 32/11 sin(16 t + 7/5) + 5/3 sin(18 t + 7/3) + 1/3 sin(20 t + 7/2) + 2 sin(21 t + 9/2) + 4/5 sin(22 t + 3/5) + 1/3 sin(23 t + 32/7) + 1783/4) θ(15 π - t) θ(t - 11 π) + (-7/5 sin(8/7 - 11 t) - 14/13 sin(1/5 - 9 t) - 1/4 sin(1/15 - 7 t) - 55/9 sin(4/3 - 5 t) + 1689/13 sin(t + 22/5) + 17/7 sin(2 t + 19/5) + 17/3 sin(3 t + 3/4) + 20/3 sin(4 t + 8/5) + 12/11 sin(6 t + 2) + 9/8 sin(8 t + 10/3) + 12/13 sin(10 t + 5/3) + 4/5 sin(12 t + 11/4) + 731/3) θ(11 π - t) θ(t - 7 π) + (-2/5 sin(24/23 - 7 t) - 47/5 sin(12/11 - 3 t) + 1626/13 sin(t + 21/5) + 23/4 sin(2 t + 11/6) + 1/3 sin(4 t + 7/5) + 17/6 sin(5 t + 29/7) + 11/3 sin(6 t + 19/9) + 4/3 sin(8 t + 11/12) + 6/5 sin(9 t + 23/5) + 1/2 sin(10 t + 11/7) + 1/5 sin(11 t + 26/7) + 2/5 sin(12 t + 3/5) + 2729/6) θ(7 π - t) θ(t - 3 π) + (-11/5 sin(2/3 - 22 t) - 3/4 sin(1 - 20 t) - 10/3 sin(1/3 - 14 t) - 9/4 sin(8/5 - 12 t) - 49/3 sin(1/4 - 6 t) - 13 sin(2/3 - 5 t) - 360 sin(1 - t) + 498/5 sin(2 t + 13/4) + 491/10 sin(3 t + 17/5) + 209/5 sin(4 t + 23/5) + 53/5 sin(7 t + 5/6) + 2 sin(8 t + 1/3) + 109/11 sin(9 t + 5/3) + 36/5 sin(10 t + 7/2) + 17/5 sin(11 t + 9/2) + 6/7 sin(13 t + 17/4) + 8/5 sin(15 t + 7/4) + 3/5 sin(16 t + 13/5) + sin(17 t + 7/5) + 3/7 sin(18 t + 3/5) + 3/4 sin(19 t + 31/8) + 1/3 sin(21 t + 10/7) + 4/7 sin(23 t + 2/3) + 5/6 sin(24 t + 5/3) + 3/5 sin(25 t + 3/2) + 1/3 sin(26 t + 5/3) + 4/5 sin(27 t + 29/10) + 7/6 sin(28 t + 4) + 1409/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-3/2 sin(2/5 - 9 t) - 25/8 sin(3/5 - 5 t) + 133/4 sin(t + 31/7) + 119/6 sin(2 t + 22/5) + 3/7 sin(3 t + 22/7) + 32/3 sin(4 t + 10/11) + 16/5 sin(6 t + 13/4) + 5/4 sin(7 t + 31/8) + 1/2 sin(8 t + 32/7) + 20/19 sin(10 t + 8/3) + 1/10 sin(11 t + 1/6) + 1/3 sin(12 t + 30/7) - 1949/6) θ(123 π - t) θ(t - 119 π) + (-2/3 sin(11/7 - 11 t) - 13/6 sin(1/24 - 8 t) - 17/4 sin(25/24 - 6 t) - 63/4 sin(1 - 5 t) - 19/10 sin(10/7 - 2 t) + 14/5 sin(t + 4/3) + 111/22 sin(3 t + 2) + 22/7 sin(4 t + 13/4) + 12/5 sin(7 t + 19/5) + 3/2 sin(9 t + 15/4) + 13/12 sin(10 t + 1) + 3/4 sin(12 t + 13/7) + 3243/4) θ(119 π - t) θ(t - 115 π) + (-116/13 sin(5/6 - 4 t) - 9/4 sin(2/3 - 3 t) + 5/2 sin(8 t) + 35/12 sin(t + 5/2) + 16/5 sin(2 t + 13/3) + 48/5 sin(5 t + 19/18) + 64/5 sin(6 t + 4/5) + 5 sin(7 t + 23/5) + 2/5 sin(9 t + 15/4) + 9/5 sin(10 t + 22/5) + 3/4 sin(11 t + 4/3) + 9/5 sin(12 t + 31/8) + 788) θ(115 π - t) θ(t - 111 π) + (-1/2 sin(4/3 - 11 t) - 10/9 sin(5/4 - 9 t) - 5/4 sin(4/7 - 7 t) + 201/2 sin(t + 32/7) + 21/2 sin(2 t + 7/3) + 8/3 sin(3 t + 17/4) + 13/2 sin(4 t + 11/6) + 5/4 sin(5 t + 1/4) + 25/8 sin(6 t + 8/5) + 3/4 sin(8 t + 7/5) + 2/5 sin(10 t + 17/5) + 5/7 sin(12 t + 14/5) - 1016/3) θ(111 π - t) θ(t - 107 π) + (-5/6 sin(6/7 - 11 t) - 6/5 sin(1 - 9 t) - 2/3 sin(10/7 - 8 t) - 12/5 sin(5/4 - 7 t) - 4/3 sin(1/3 - 6 t) - 18/5 sin(4/5 - 5 t) - 23/6 sin(3/5 - 4 t) + 501/4 sin(t + 14/3) + 17/4 sin(2 t + 34/11) + 62/7 sin(3 t + 13/3) + 1/10 sin(10 t + 6/7) + 3/5 sin(12 t + 3/4) - 2561/10) θ(107 π - t) θ(t - 103 π) + (-1/4 sin(7/5 - 11 t) - sin(3/7 - 9 t) - 4/5 sin(3/2 - 8 t) + 353/4 sin(t + 21/5) + 107/12 sin(2 t + 45/22) + 48/5 sin(3 t + 17/6) + 13/6 sin(4 t + 5/3) + 3 sin(5 t + 7/5) + 5/4 sin(6 t + 3/5) + 10/7 sin(7 t + 3/5) + 10/11 sin(10 t + 7/2) + 3/4 sin(12 t + 11/4) - 1359/10) θ(103 π - t) θ(t - 99 π) + (-15/4 sin(1/13 - 6 t) - 33/8 sin(5/7 - 4 t) - 43/5 sin(1/4 - 3 t) - 425/4 sin(4/3 - t) + 67/5 sin(2 t + 23/5) + 12/11 sin(5 t + 11/5) + 13/7 sin(7 t + 17/6) + 20/7 sin(8 t + 1/5) + 11/10 sin(9 t + 3) + 6/5 sin(10 t + 1/2) + 3/7 sin(11 t + 24/7) + 11/10 sin(12 t + 3/7) + 13/7) θ(99 π - t) θ(t - 95 π) + (-11/4 sin(1/4 - 5 t) - 78/7 sin(9/10 - 3 t) - 15/4 sin(18/17 - 2 t) - 411/5 sin(11/7 - t) + 1/2 sin(4 t + 7/3) + 4/5 sin(6 t + 31/8) + 2/5 sin(7 t + 1/3) + 3/4 sin(8 t + 4/3) + 1/8 sin(9 t + 25/7) + 1/4 sin(10 t + 12/5) + 1/3 sin(11 t + 1) + 4/7 sin(12 t + 11/5) + 674/9) θ(95 π - t) θ(t - 91 π) + (-2/5 sin(1/4 - 9 t) - 2 sin(2/5 - 8 t) - 11/2 sin(2/5 - 2 t) - 1466/5 sin(1/2 - t) + 71/7 sin(3 t + 1/3) + 17/5 sin(4 t + 7/3) + 29/5 sin(5 t + 18/7) + 13/7 sin(6 t + 13/3) + 7/6 sin(7 t + 23/5) + 4/5 sin(10 t + 4/5) + 3/4 sin(11 t + 2) + 4/5 sin(12 t + 17/6) + 1735/3) θ(91 π - t) θ(t - 87 π) + (-16/15 sin(1/5 - 6 t) - 8/5 sin(3/5 - 5 t) - 41/10 sin(9/8 - 2 t) - 169/4 sin(5/6 - t) + 22/5 sin(3 t + 33/7) + 37/18 sin(4 t + 3/4) + 1/3 sin(7 t + 2/5) + 3/4 sin(8 t + 11/7) + 1/2 sin(9 t + 1/3) + 1/3 sin(10 t + 2) + 1/6 sin(11 t + 4) + 1/3 sin(12 t + 13/7) + 807/5) θ(87 π - t) θ(t - 83 π) + (-111/16 sin(1/10 - 5 t) + 7/3 sin(3 t) + 26/7 sin(9 t) + 7/3 sin(11 t) + 339/2 sin(t + 1/5) + 12 sin(2 t + 24/7) + 11/2 sin(4 t + 25/7) + 13/2 sin(6 t + 11/4) + 8/3 sin(7 t + 1/13) + 13/4 sin(8 t + 15/4) + 70/23 sin(10 t + 14/5) + 9/4 sin(12 t + 17/5) + 21) θ(83 π - t) θ(t - 79 π) + (-3/2 sin(6/5 - 7 t) - 41/4 sin(1/7 - 2 t) - 249/5 sin(2/5 - t) + 2/5 sin(3 t + 12/5) + 24/7 sin(4 t + 11/5) + 10/9 sin(5 t + 12/5) + 2/3 sin(6 t + 16/5) + 1/2 sin(8 t + 9/2) + 1/2 sin(9 t + 4/5) + 1/2 sin(10 t + 4/3) + 1/5 sin(11 t + 3/4) + 1/4 sin(12 t + 18/5) - 10/3) θ(79 π - t) θ(t - 75 π) + (-22/5 sin(3/2 - 5 t) + 35/17 sin(9 t) + 669/5 sin(t + 18/5) + 11/3 sin(2 t + 4/7) + 65/7 sin(3 t + 5/3) + 13/3 sin(4 t + 39/10) + 15/8 sin(6 t + 22/7) + 12/5 sin(7 t + 11/4) + 3/5 sin(8 t + 19/5) + 11/10 sin(10 t + 19/6) + 3/4 sin(11 t + 9/2) + 2/5 sin(12 t + 7/5) + 859/5) θ(75 π - t) θ(t - 71 π) + (-9/4 sin(1/10 - 6 t) - 19/6 sin(11/10 - 4 t) + 152/5 sin(t + 1/17) + 69/7 sin(2 t + 5/6) + 19/9 sin(3 t + 13/5) + 8/3 sin(5 t + 18/5) + 35/17 sin(7 t + 20/7) + 3/7 sin(8 t + 1/3) + 6/5 sin(9 t + 24/7) + 5/4 sin(10 t + 1/3) + 3/4 sin(11 t + 8/3) + 2/3 sin(12 t + 1/14) + 2231/9) θ(71 π - t) θ(t - 67 π) + (171/4 sin(t + 35/9) + 23/5 sin(2 t + 35/12) + 81/7 sin(3 t + 3/7) + 10/9 sin(4 t + 57/14) + 17/4 sin(5 t + 11/3) + 5/4 sin(6 t + 39/10) + 8/3 sin(7 t + 6/7) + 13/12 sin(8 t + 4/7) + 2/3 sin(9 t + 23/5) + 3/5 sin(10 t + 7/2) + 1/2 sin(11 t + 11/7) + 2/3 sin(12 t + 7/4) + 1297/4) θ(67 π - t) θ(t - 63 π) + (337/3 sin(t + 9/2) + 454/13 sin(2 t + 7/5) + 29/3 sin(3 t + 13/7) + 61/4 sin(4 t + 4/3) + 47/12 sin(5 t + 9/4) + 16/5 sin(6 t + 7/4) + 39/10 sin(7 t + 10/3) + 5/4 sin(8 t + 38/13) + 41/20 sin(9 t + 7/2) + 1/2 sin(10 t + 1/6) + 1/2 sin(11 t + 21/5) + 2/3 sin(12 t + 1/2) - 188/3) θ(63 π - t) θ(t - 59 π) + (-2 sin(1/4 - 5 t) - 10/9 sin(1 - 4 t) - 137/4 sin(1/4 - t) + 73/7 sin(2 t + 3/2) + 24/5 sin(3 t + 3) + 12/13 sin(6 t + 6/5) + 6/5 sin(7 t + 24/7) + 1/2 sin(8 t + 10/3) + 1/4 sin(9 t + 14/3) + 3/5 sin(10 t + 10/11) + 1/3 sin(11 t + 10/3) + 1/5 sin(12 t + 15/4) + 1681/10) θ(59 π - t) θ(t - 55 π) + (-7/2 sin(1/4 - 7 t) - 32/5 sin(10/11 - 5 t) + 883/5 sin(t + 25/7) + 502/7 sin(2 t + 3/4) + 69/10 sin(3 t + 19/5) + 157/3 sin(4 t + 31/8) + 65/8 sin(6 t + 15/4) + 55/7 sin(8 t + 6/5) + 17/4 sin(9 t + 2/3) + 19/6 sin(10 t + 13/3) + 11/3 sin(11 t + 2/5) + 7/2 sin(12 t + 8/3) + 2603/5) θ(55 π - t) θ(t - 51 π) + (-8/5 sin(4/5 - 12 t) - 253/2 sin(9/10 - t) + 65/3 sin(5 t) + 6/7 sin(7 t) + 15/4 sin(9 t) + 1297/24 sin(2 t + 5/4) + 73/3 sin(3 t + 11/3) + 43/4 sin(4 t + 6/5) + 23/8 sin(6 t + 1/4) + 36/7 sin(8 t + 1) + 11/4 sin(10 t + 23/5) + 5/3 sin(11 t + 32/7) + 1781/4) θ(51 π - t) θ(t - 47 π) + (-13/3 sin(3/2 - 11 t) - 7/5 sin(2/3 - 9 t) - 43/4 sin(1/6 - 8 t) + 1758/5 sin(t + 5/4) + 609/8 sin(2 t + 13/5) + 79/4 sin(3 t + 1/16) + 111/4 sin(4 t + 9/5) + 92/5 sin(5 t + 5/2) + 71/3 sin(6 t + 11/5) + 239/8 sin(7 t + 1) + 5 sin(10 t + 3/5) + 2 sin(12 t + 16/5) + 2998/5) θ(47 π - t) θ(t - 43 π) + (2124/7 sin(t + 17/9) + 292/5 sin(2 t + 13/3) + 92/3 sin(3 t + 10/3) + 69/2 sin(4 t + 14/3) + 62/3 sin(5 t + 31/8) + 59/6 sin(6 t + 17/4) + 62/7 sin(7 t + 11/4) + 62/9 sin(8 t + 19/9) + 31/6 sin(9 t + 3/2) + 13/4 sin(10 t + 8/7) + 31/8 sin(11 t + 9/8) + 11/7 sin(12 t + 4/5) + 1463/2) θ(43 π - t) θ(t - 39 π) + (-49/10 sin(8/7 - 7 t) - 43/4 sin(3/2 - 5 t) - 111/4 sin(11/7 - 3 t) + 2509/10 sin(t + 19/4) + 25 sin(2 t + 9/4) + 25/7 sin(4 t + 15/4) + 6/7 sin(6 t + 14/3) + 5/6 sin(8 t + 3/7) + 2/5 sin(9 t + 8/3) + 3/2 sin(10 t + 1) + 3/2 sin(11 t + 14/5) + 3/5 sin(12 t + 7/8) - 237/5) θ(39 π - t) θ(t - 35 π) + (-39/4 sin(7/6 - 4 t) + 139/2 sin(t + 25/6) + 3001/15 sin(2 t + 5/3) + 169/4 sin(3 t + 21/10) + 4 sin(5 t + 13/4) + 163/18 sin(6 t + 7/4) + 71/5 sin(7 t + 7/3) + 23/6 sin(8 t + 17/5) + 11/4 sin(9 t + 9/2) + 7/2 sin(10 t + 5/2) + 5/6 sin(11 t + 4/3) + 24/5 sin(12 t + 16/5) - 9773/18) θ(35 π - t) θ(t - 31 π) + (-7/6 sin(1/3 - 12 t) - 9/4 sin(1/4 - 10 t) - 41/6 sin(1/19 - 4 t) - 132 sin(1 - t) + 176/5 sin(2 t + 22/21) + 92/5 sin(3 t + 1/3) + 5 sin(5 t + 17/4) + 11/3 sin(6 t + 13/4) + 10/3 sin(7 t + 19/6) + 5/4 sin(8 t + 12/5) + 15/8 sin(9 t + 7/4) + 2/3 sin(11 t + 7/2) - 2640/7) θ(31 π - t) θ(t - 27 π) + (-5/3 sin(5/6 - 11 t) - 2689/16 sin(1/4 - 3 t) + 1015/8 sin(t + 19/5) + 827/7 sin(2 t + 4/7) + 364/11 sin(4 t + 5/4) + 41/2 sin(5 t + 23/5) + 129/8 sin(6 t + 3/4) + 19/4 sin(7 t + 24/7) + 209/16 sin(8 t + 16/5) + 27/4 sin(9 t + 7/2) + 44/5 sin(10 t + 35/12) + 3 sin(12 t + 8/3) - 3129/5) θ(27 π - t) θ(t - 23 π) + (-10/7 sin(2/5 - 17 t) - 17/5 sin(3/5 - 11 t) - 31/6 sin(1/8 - 10 t) - 7 sin(1/9 - 9 t) - 38/3 sin(2/5 - 3 t) - 1701/5 sin(7/5 - t) + 510/7 sin(2 t + 11/7) + 55/4 sin(4 t + 5/2) + 65/4 sin(5 t + 13/3) + 68/5 sin(6 t + 25/7) + 13/2 sin(7 t + 37/9) + 5/3 sin(8 t + 7/4) + 3/2 sin(12 t + 15/8) + 9/4 sin(13 t + 8/5) + 13/3 sin(14 t + 3/2) + 31/10 sin(15 t + 4/5) + 11/5 sin(16 t + 4/5) + 3/4 sin(18 t + 16/5) - 3999/10) θ(23 π - t) θ(t - 19 π) + (-6/5 sin(1/4 - 22 t) - 11/3 sin(3/4 - 18 t) - 121/8 sin(1 - 15 t) - 27/4 sin(4/5 - 12 t) - 8/5 sin(3/5 - 10 t) - 17/3 sin(3/5 - 4 t) + 18/5 sin(t + 2/5) + 24/5 sin(2 t + 15/4) + 24/5 sin(3 t + 7/2) + 35/6 sin(5 t + 25/6) + 14/3 sin(6 t + 19/6) + 17/8 sin(7 t + 11/5) + 23/6 sin(8 t + 7/5) + 17/3 sin(9 t + 5/4) + 10/3 sin(11 t + 16/5) + 94/7 sin(13 t + 33/8) + 13 sin(14 t + 4) + 157/7 sin(16 t + 11/7) + 65/8 sin(17 t + 1/3) + 8/3 sin(19 t + 12/5) + 13/2 sin(20 t + 4/5) + 5 sin(21 t + 1/2) + 24/5 sin(23 t + 4/5) + 5069/6) θ(19 π - t) θ(t - 15 π) + (-9/8 sin(8/5 - 22 t) - 9/5 sin(7/5 - 9 t) - 19/9 sin(5/6 - 7 t) - 14/5 sin(5/4 - 3 t) + 3/5 sin(t + 21/5) + 25/7 sin(2 t + 17/4) + 13/5 sin(4 t + 23/5) + 8/5 sin(5 t + 13/4) + 18/7 sin(6 t + 1/12) + 21/4 sin(8 t + 3/5) + 28/5 sin(10 t + 13/3) + 53/4 sin(11 t + 18/5) + 21/2 sin(12 t + 10/3) + 20/3 sin(13 t + 19/5) + 101/5 sin(14 t + 1/5) + 9/2 sin(15 t + 1/3) + 6 sin(16 t + 28/9) + 119/10 sin(17 t + 1/3) + 5/2 sin(18 t + 9/2) + 17/3 sin(19 t + 2/5) + 1/2 sin(20 t + 2/3) + 7/2 sin(21 t + 2/5) + 3 sin(23 t + 1/2) + 4623/5) θ(15 π - t) θ(t - 11 π) + (-7/4 sin(14/13 - 6 t) + 500/3 sin(t + 3) + 29/3 sin(2 t + 13/4) + 41/4 sin(3 t + 1/16) + 3 sin(4 t + 24/7) + 2 sin(5 t + 1/2) + 4/3 sin(7 t + 20/7) + 8/5 sin(8 t + 14/5) + 2 sin(9 t + 1/7) + 1/3 sin(10 t + 29/7) + 1/7 sin(11 t + 12/5) + 6/7 sin(12 t + 11/3) + 4466/5) θ(11 π - t) θ(t - 7 π) + (-2/3 sin(6/5 - 12 t) - 3/5 sin(1/7 - 10 t) - 29/15 sin(6/7 - 8 t) - 1/3 sin(1/2 - 6 t) - 87/11 sin(7/5 - 4 t) + 1299/10 sin(t + 17/7) + 73/5 sin(2 t + 16/5) + 11/2 sin(3 t + 8/9) + 19/6 sin(5 t + 7/3) + 11/7 sin(7 t + 8/5) + sin(9 t + 11/4) + 2/3 sin(11 t + 11/6) + 4807/5) θ(7 π - t) θ(t - 3 π) + (-1/4 sin(1/3 - 28 t) - 4/5 sin(1/2 - 21 t) - 5/6 sin(19/18 - 17 t) - 11/3 sin(3/4 - 10 t) - 32/5 sin(2/5 - 9 t) - 17 sin(3/2 - 6 t) + 13/4 sin(12 t) + 7/5 sin(18 t) + 1276/3 sin(t + 11/3) + 73 sin(2 t + 4/3) + 95/2 sin(3 t + 31/15) + 477/17 sin(4 t + 26/9) + 45/4 sin(5 t + 11/4) + 21/4 sin(7 t + 21/20) + 80/9 sin(8 t + 7/2) + 21/11 sin(11 t + 4) + 39/7 sin(13 t + 4/3) + 17/8 sin(14 t + 18/5) + 3/2 sin(15 t + 17/5) + sin(16 t + 17/9) + 5/2 sin(19 t + 15/7) + 2/3 sin(20 t + 35/9) + 9/5 sin(22 t + 15/4) + 3/4 sin(23 t + 14/3) + 26/25 sin(24 t + 3/5) + 2/5 sin(25 t + 7/2) + 6/5 sin(26 t + 23/5) + 10/11 sin(27 t + 5/4) + 1964/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-21/11 sin(16/13 - 5 t) - 89/19 sin(9/8 - 4 t) + 1947/19 sin(t + 35/11) + 89/6 sin(2 t + 47/14) + 62/5 sin(3 t + 13/9) + 41/20 sin(6 t + 65/16) - 62) θ(75 π - t) θ(t - 71 π) + (-1/10 sin(1/3 - 18 t) - 19/8 sin(1/3 - 11 t) - 38/5 sin(2/5 - 6 t) + 283/4 sin(t + 3) + 188/13 sin(2 t + 21/8) + 123/10 sin(3 t + 10/9) + 365/26 sin(4 t + 26/17) + 166/11 sin(5 t + 2) + 7 sin(7 t + 32/9) + 46/5 sin(8 t + 53/13) + 60/13 sin(9 t + 11/8) + 11/6 sin(10 t + 3/7) + 3/2 sin(12 t + 41/21) + 12/11 sin(13 t + 45/13) + 5/4 sin(14 t + 11/14) + 11/8 sin(15 t + 29/9) + 7/15 sin(16 t + 13/17) + sin(17 t + 16/5) - 1761/10) θ(71 π - t) θ(t - 67 π) + (-18/5 sin(8/13 - 5 t) + 41/6 sin(t + 24/13) + 56/5 sin(2 t + 80/27) + 175/8 sin(3 t + 101/25) + 46/11 sin(4 t + 9/7) + 31/7 sin(6 t + 1/5) + 19/8 sin(7 t + 101/25) + 17/9 sin(8 t + 16/9) + 4/5 sin(9 t + 34/13) + 15/14 sin(10 t + 2/5) - 9643/13) θ(67 π - t) θ(t - 63 π) + (-29/22 sin(1/10 - 15 t) - 10/7 sin(3/14 - 7 t) - 43/8 sin(7/11 - 5 t) - 224/13 sin(11/10 - 2 t) + 475/6 sin(t + 35/8) + 38/9 sin(3 t + 2/11) + 123/13 sin(4 t + 40/11) + 69/10 sin(6 t + 331/110) + 9/4 sin(8 t + 14/5) + 25/26 sin(9 t + 3/10) + 163/54 sin(10 t + 37/12) + 19/8 sin(11 t + 3/8) + 65/32 sin(12 t + 41/13) + 11/8 sin(13 t + 1/54) + 8/7 sin(14 t + 3) + 11/8 sin(16 t + 52/17) + 23/14 sin(17 t + 1/8) - 3950/9) θ(63 π - t) θ(t - 59 π) + (-4/5 sin(7/10 - 34 t) - 29/15 sin(13/11 - 27 t) - 37/15 sin(8/13 - 25 t) - 12/7 sin(37/25 - 24 t) - 49/16 sin(4/3 - 21 t) - 75/11 sin(19/18 - 20 t) - 44/7 sin(13/14 - 19 t) - 159/11 sin(1/15 - 16 t) - 23/8 sin(1/36 - 15 t) - 259/10 sin(9/8 - 8 t) + 15170/77 sin(t + 35/34) + 71 sin(2 t + 68/15) + 2024/27 sin(3 t + 23/14) + 191/5 sin(4 t + 3/8) + 233/15 sin(5 t + 14/5) + 683/15 sin(6 t + 15/16) + 1455/26 sin(7 t + 16/9) + 11/4 sin(9 t + 46/13) + 103/3 sin(10 t + 39/10) + 275/14 sin(11 t + 113/38) + 251/10 sin(12 t + 4/7) + 128/7 sin(13 t + 1/2) + 140/11 sin(14 t + 22/13) + 72/11 sin(17 t + 66/65) + 53/11 sin(18 t + 41/21) + 55/13 sin(22 t + 10/9) + 15/4 sin(23 t + 29/7) + 17/5 sin(26 t + 9/11) + 9/8 sin(28 t + 17/10) + 13/7 sin(29 t + 89/30) + 19/7 sin(30 t + 5/8) + sin(31 t + 17/5) + 9/11 sin(32 t + 89/19) + 17/11 sin(33 t + 50/11) + 7/12 sin(35 t + 31/8) + 8/11 sin(36 t + 31/13) + 5078/15) θ(59 π - t) θ(t - 55 π) + (-4/7 sin(5/9 - 10 t) - 9/13 sin(11/8 - 6 t) + 569/14 sin(t + 17/10) + 72/17 sin(2 t + 28/9) + 87/20 sin(3 t + 23/9) + 8/11 sin(4 t + 7/2) + 45/17 sin(5 t + 53/14) + 7/8 sin(7 t + 8/3) + 11/12 sin(8 t + 139/35) + 2/3 sin(9 t + 12/11) + 1557/14) θ(55 π - t) θ(t - 51 π) + (-89/45 sin(1/7 - 12 t) - 152/13 sin(1/27 - 5 t) + 389/5 sin(t + 33/10) + 1113/17 sin(2 t + 1/101) + 133/8 sin(3 t + 20/11) + 101/11 sin(4 t + 13/11) + 95/11 sin(6 t + 31/11) + 93/11 sin(7 t + 17/7) + 43/7 sin(8 t + 44/15) + 39/14 sin(9 t + 36/11) + 31/9 sin(10 t + 15/8) + 21/10 sin(11 t + 11/4) + 18/11 sin(13 t + 16/9) + 4/3 sin(14 t + 35/11) + 7/13 sin(15 t + 2/7) + 29/11 sin(16 t + 22/13) + 11/10 sin(17 t + 13/3) + 7/8 sin(18 t + 191/95) - 8869/15) θ(51 π - t) θ(t - 47 π) + (-32/11 sin(1/5 - 6 t) - 64/15 sin(9/8 - 4 t) + 250/7 sin(t + 34/11) + 2843/98 sin(2 t + 61/13) + 116/9 sin(3 t + 2/13) + 9/7 sin(5 t + 32/33) + 27/5 sin(7 t + 47/10) + 103/26 sin(8 t + 136/45) + 3/5 sin(9 t + 11/6) + 14/15 sin(10 t + 19/7) - 2621/5) θ(47 π - t) θ(t - 43 π) + (-13/19 sin(5/12 - 9 t) - 9/11 sin(11/16 - 8 t) - 83/10 sin(10/11 - 4 t) - 319/20 sin(7/8 - 3 t) + 785/13 sin(t + 8/9) + 174/5 sin(2 t + 65/14) + 19/4 sin(5 t + 7/9) + 52/17 sin(6 t + 13/10) + 34/13 sin(7 t + 8/7) + 1/10 sin(10 t + 32/11) - 3756/17) θ(43 π - t) θ(t - 39 π) + (-27/20 sin(5/7 - 17 t) - 5/9 sin(1/13 - 15 t) - 47/10 sin(5/4 - 9 t) - 17/3 sin(26/17 - 8 t) + 563/10 sin(t + 5/3) + 213/17 sin(2 t + 12/5) + 1157/12 sin(3 t + 31/7) + 167/5 sin(4 t + 121/60) + 249/10 sin(5 t + 25/8) + 157/10 sin(6 t + 36/11) + 31/6 sin(7 t + 25/7) + 34/3 sin(10 t + 7/8) + 12/7 sin(11 t + 2/13) + 60/13 sin(12 t + 10/7) + 20/9 sin(13 t + 11/6) + 13/12 sin(14 t + 10/3) + 19/11 sin(16 t + 1/7) - 651/11) θ(39 π - t) θ(t - 35 π) + (-20/11 sin(13/19 - 24 t) - 9/11 sin(19/13 - 23 t) - 23/15 sin(1/5 - 22 t) - 47/11 sin(3/7 - 21 t) - 16/3 sin(19/20 - 20 t) - 47/12 sin(16/11 - 17 t) - 37/5 sin(9/7 - 16 t) - 29/8 sin(4/11 - 15 t) - 101/9 sin(9/13 - 9 t) - 38/3 sin(14/11 - 8 t) + 2491/15 sin(t + 1/8) + 1229/6 sin(2 t + 14/5) + 557/7 sin(3 t + 2/3) + 135/14 sin(4 t + 63/32) + 56/9 sin(5 t + 41/12) + 168/13 sin(6 t + 1/2) + 202/9 sin(7 t + 20/7) + 155/12 sin(10 t + 7/4) + 55/3 sin(11 t + 26/11) + 121/7 sin(12 t + 47/16) + 104/11 sin(13 t + 5/2) + 53/8 sin(14 t + 28/27) + 23/7 sin(18 t + 2) + 11/9 sin(19 t + 8/3) + 4/3 sin(25 t + 23/7) + 17/10 sin(26 t + 27/8) + 11/12 sin(27 t + 31/11) + 2/5 sin(28 t + 49/16) - 3697/7) θ(35 π - t) θ(t - 31 π) + (-17/5 sin(5/13 - 19 t) - 53/11 sin(1/3 - 15 t) - 142/15 sin(1/3 - 9 t) - 397/14 sin(1/22 - 5 t) - 156/5 sin(1/62 - 3 t) + 665/6 sin(t + 13/5) + 321/10 sin(2 t + 20/9) + 275/23 sin(4 t + 187/47) + 448/17 sin(6 t + 79/17) + 81/7 sin(7 t + 1/9) + 122/13 sin(8 t + 15/7) + 73/7 sin(10 t + 59/13) + 139/15 sin(11 t + 1/10) + 90/13 sin(12 t + 11/4) + 53/11 sin(13 t + 1/26) + 23/8 sin(14 t + 48/13) + 58/19 sin(16 t + 25/8) + 30/7 sin(17 t + 2/3) + 53/15 sin(18 t + 17/5) + 228/11) θ(31 π - t) θ(t - 27 π) + (-3/2 sin(34/23 - 17 t) - 33/20 sin(19/13 - 13 t) - 25/8 sin(15/11 - 11 t) - 99/13 sin(19/18 - 7 t) - 240/13 sin(3/11 - 6 t) - 87/5 sin(5/6 - 5 t) - 697/11 sin(9/7 - 2 t) + 602/5 sin(t + 18/7) + 833/15 sin(3 t + 17/7) + 95/9 sin(4 t + 45/13) + 13/5 sin(8 t + 17/5) + 37/9 sin(9 t + 23/10) + 39/10 sin(10 t + 31/8) + 33/14 sin(12 t + 9/19) + 13/4 sin(14 t + 34/9) + 4/7 sin(15 t + 14/5) + 11/8 sin(16 t + 70/23) + 6576/11) θ(27 π - t) θ(t - 23 π) + (-59/11 sin(1/2 - 12 t) - 1019/15 sin(5/4 - t) + 97/10 sin(2 t + 17/8) + 123/5 sin(3 t + 2/3) + 824/27 sin(4 t + 29/8) + 93/8 sin(5 t + 8/11) + 495/31 sin(6 t + 5/6) + 181/14 sin(7 t + 3/11) + 79/9 sin(8 t + 30/29) + 28/5 sin(9 t + 23/11) + 8/3 sin(10 t + 65/33) + 19/6 sin(11 t + 43/10) + 39/10 sin(13 t + 44/15) + 15/8 sin(14 t + 207/52) + 17/9 sin(15 t + 4/3) + 7/8 sin(16 t + 5/9) + 2/9 sin(17 t + 23/9) - 5330/9) θ(23 π - t) θ(t - 19 π) + (-28/29 sin(11/14 - 10 t) - 43/5 sin(9/8 - 7 t) - 453/5 sin(2/7 - t) + 473/9 sin(2 t + 16/5) + 239/8 sin(3 t + 12/13) + 280/13 sin(4 t + 3/8) + 649/50 sin(5 t + 28/17) + 34/5 sin(6 t + 36/13) + 35/8 sin(8 t + 47/14) + 68/15 sin(9 t + 35/8) + 13/4 sin(11 t + 21/8) + 23/13 sin(12 t + 17/13) + 7/5 sin(13 t + 39/11) + 11/8 sin(14 t + 31/8) + 15/8 sin(15 t + 11/6) + 26/11 sin(16 t + 36/11) - 1943/11) θ(19 π - t) θ(t - 15 π) + (-46/13 sin(65/64 - 10 t) - 47/6 sin(19/13 - 6 t) + 2171/8 sin(t + 13/7) + 701/26 sin(2 t + 24/7) + 341/5 sin(3 t + 16/7) + 87/4 sin(4 t + 17/9) + 144/13 sin(5 t + 107/27) + 89/22 sin(7 t + 35/11) + 13/3 sin(8 t + 19/5) + 22/7 sin(9 t + 32/19) + 1462/9) θ(15 π - t) θ(t - 11 π) + (-19/5 sin(1/13 - 18 t) - 7/2 sin(7/12 - 16 t) - 61/9 sin(3/10 - 10 t) - 1002/5 sin(3/10 - t) + 2521/40 sin(2 t + 51/13) + 447/13 sin(3 t + 38/15) + 92/13 sin(4 t + 23/6) + 145/6 sin(5 t + 29/19) + 1099/61 sin(6 t + 2) + 95/7 sin(7 t + 39/10) + 75/11 sin(8 t + 19/7) + 40/9 sin(9 t + 13/25) + 23/17 sin(11 t + 11/5) + 43/9 sin(12 t + 5/8) + 53/8 sin(13 t + 7/13) + 301/75 sin(14 t + 12/7) + 35/16 sin(15 t + 33/7) + 12/7 sin(17 t + 1/6) + 4030/29) θ(11 π - t) θ(t - 7 π) + (-35/8 sin(8/15 - 14 t) - 230/27 sin(11/8 - 8 t) - 46/9 sin(2/3 - 7 t) - 191/15 sin(1/5 - 6 t) - 83 sin(6/11 - t) + 333/8 sin(2 t + 29/10) + 289/11 sin(3 t + 1/8) + 294/11 sin(4 t + 41/11) + 244/11 sin(5 t + 7/2) + 99/10 sin(9 t + 51/14) + 47/4 sin(10 t + 52/15) + 132/13 sin(11 t + 82/19) + 76/11 sin(12 t + 4/15) + 25/6 sin(13 t + 17/6) + 5/4 sin(15 t + 9/14) + 31/13 sin(16 t + 8/13) + 40/13 sin(17 t + 37/18) - 3944/11) θ(7 π - t) θ(t - 3 π) + (-10/7 sin(18/19 - 17 t) - 9/4 sin(2/9 - 14 t) - 47/9 sin(10/19 - 11 t) - 390/17 sin(6/7 - 6 t) - 1259/13 sin(6/7 - 2 t) + 2386/13 sin(t + 29/7) + 919/20 sin(3 t + 22/5) + 167/7 sin(4 t + 47/11) + 166/11 sin(5 t + 5/2) + 3 sin(7 t + 49/13) + 16/3 sin(8 t + 48/19) + 67/14 sin(9 t + 14/5) + 35/13 sin(10 t + 87/22) + 43/11 sin(12 t + 20/11) + 42/13 sin(13 t + 25/6) + 65/12 sin(15 t + 149/74) + 37/15 sin(16 t + 63/16) - 3751/14) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-53/27 sin(15/14 - 6 t) + 1585/13 sin(t + 4/3) + 135/11 sin(2 t + 25/7) + 27/4 sin(3 t + 13/9) + 13/10 sin(4 t + 14/3) + 9/4 sin(5 t + 11/9) - 653/3) θ(75 π - t) θ(t - 71 π) + (-39/40 sin(1/6 - 14 t) - 101/6 sin(1/9 - 4 t) - 88/9 sin(1/10 - 3 t) + 371/3 sin(t + 7/8) + 813/29 sin(2 t + 38/9) + 114/13 sin(5 t + 8/11) + 40/11 sin(6 t + 15/4) + 60/11 sin(7 t + 61/31) + 95/13 sin(8 t + 43/17) + 17/8 sin(9 t + 1/18) + 2/7 sin(10 t + 19/7) + 34/11 sin(11 t + 43/10) + 11/15 sin(12 t + 9/8) + 5/11 sin(13 t + 29/7) + 55/56 sin(15 t + 9/5) + 9/17 sin(16 t + 1) + 2/13 sin(17 t + 25/14) + 2/7 sin(18 t + 35/11) - 3089/11) θ(71 π - t) θ(t - 67 π) + (-13/14 sin(5/7 - 9 t) + 35/9 sin(t + 30/7) + 48/7 sin(2 t + 29/8) + 82/5 sin(3 t + 87/22) + 79/10 sin(4 t + 19/10) + 19/4 sin(5 t + 20/7) + 85/12 sin(6 t + 31/9) + 35/9 sin(7 t + 9/11) + 5/8 sin(8 t + 77/17) + 10/13 sin(10 t + 2/13) + 809/3) θ(67 π - t) θ(t - 63 π) + (-13/9 sin(1/7 - 17 t) - 6/5 sin(2/13 - 15 t) - 7/4 sin(2/9 - 9 t) + 193/4 sin(t + 23/7) + 137/5 sin(2 t + 29/7) + 52/9 sin(3 t + 57/14) + 64/5 sin(4 t + 40/17) + 68/7 sin(5 t + 3/13) + 101/19 sin(6 t + 83/21) + 19/18 sin(7 t + 2/7) + 13/8 sin(8 t + 29/9) + 46/15 sin(10 t + 40/13) + 21/10 sin(11 t + 1/9) + 13/6 sin(12 t + 8/3) + 17/8 sin(13 t + 3/8) + 3/5 sin(14 t + 38/11) + 15/11 sin(16 t + 28/9) - 146/7) θ(63 π - t) θ(t - 59 π) + (-13/27 sin(2/9 - 36 t) - 11/8 sin(3/2 - 32 t) - 25/8 sin(35/36 - 26 t) - 6/7 sin(13/9 - 25 t) - 3 sin(1/3 - 23 t) - 79/7 sin(74/73 - 17 t) - 125/13 sin(7/11 - 16 t) - 199/18 sin(1/23 - 14 t) - 400/13 sin(10/11 - 13 t) - 139/6 sin(22/15 - 11 t) - 321/10 sin(4/9 - 6 t) - 194/9 sin(7/9 - 5 t) + 721/3 sin(t + 10/3) + 832/9 sin(2 t + 13/19) + 211/6 sin(3 t + 141/35) + 1353/26 sin(4 t + 9/5) + 491/9 sin(7 t + 8/17) + 119/6 sin(8 t + 87/25) + 158/19 sin(9 t + 68/15) + 17 sin(10 t + 20/7) + 153/11 sin(12 t + 3/11) + 85/11 sin(15 t + 22/7) + 431/48 sin(18 t + 13/6) + 32/7 sin(19 t + 27/20) + 178/21 sin(20 t + 3/8) + 130/29 sin(21 t + 18/11) + 9/4 sin(22 t + 3/2) + 21/4 sin(24 t + 73/37) + 82/19 sin(27 t + 23/7) + 6/5 sin(28 t + 13/8) + 16/5 sin(29 t + 4/9) + 1/9 sin(30 t + 38/17) + 2 sin(31 t + 16/7) + 13/5 sin(33 t + 32/7) + 7/6 sin(34 t + 8/3) + 11/7 sin(35 t + 2/9) + 159/7) θ(59 π - t) θ(t - 55 π) + (-15/13 sin(19/20 - 7 t) + 217/10 sin(t + 32/11) + 53/8 sin(2 t + 6/7) + 107/12 sin(3 t + 17/6) + 71/8 sin(4 t + 16/11) + 16/13 sin(5 t + 5/3) + 9/2 sin(6 t + 47/11) + 33/20 sin(8 t + 42/17) + 5/9 sin(9 t + 72/17) + 2/9 sin(10 t + 7/10) - 7529/14) θ(55 π - t) θ(t - 51 π) + (-13/10 sin(7/11 - 14 t) - 164/55 sin(1/7 - 10 t) - 16/11 sin(8/13 - 7 t) - 67/7 sin(16/11 - 4 t) - 408/7 sin(4/11 - 2 t) + 490/9 sin(t + 1) + 314/9 sin(3 t + 5/11) + 43/2 sin(5 t + 17/5) + 13/5 sin(6 t + 67/17) + 48/7 sin(8 t + 53/12) + 65/9 sin(9 t + 8/5) + 7/10 sin(11 t + 31/12) + 7/5 sin(12 t + 26/27) + 15/11 sin(13 t + 13/4) + 10/13 sin(15 t + 21/5) + 5/12 sin(16 t + 11/5) + 9/13 sin(17 t + 31/13) + 3/10 sin(18 t + 17/9) + 3611/9) θ(51 π - t) θ(t - 47 π) + (-52/9 sin(17/12 - 6 t) - 267/19 sin(28/19 - 3 t) + 138/5 sin(t + 19/10) + 356/11 sin(2 t + 47/14) + 73/11 sin(4 t + 26/7) + 23/14 sin(5 t + 5/11) + 123/14 sin(7 t + 19/6) + 68/15 sin(8 t + 13/8) + 9/5 sin(9 t + 15/8) + 17/7 sin(10 t + 4/11) + 4936/17) θ(47 π - t) θ(t - 43 π) + (-21/8 sin(3/8 - 4 t) - 223/6 sin(4/5 - 2 t) + 673/10 sin(t + 8/5) + 610/47 sin(3 t + 1/5) + 14/3 sin(5 t + 13/6) + 65/14 sin(6 t + 45/13) + 13/7 sin(7 t + 65/22) + sin(8 t + 15/4) + 19/14 sin(9 t + 22/15) + 5/7 sin(10 t + 43/12) - 257/8) θ(43 π - t) θ(t - 39 π) + (-20/11 sin(5/4 - 17 t) - 31/15 sin(7/13 - 13 t) - 49/11 sin(27/26 - 12 t) - 39/10 sin(4/3 - 9 t) - 18/7 sin(1/3 - 8 t) - 59/3 sin(4/13 - 2 t) - 1706/17 sin(11/12 - t) + 43/8 sin(11 t) + 839/24 sin(3 t + 37/8) + 27 sin(4 t + 39/20) + 185/13 sin(5 t + 10/9) + 24/7 sin(6 t + 93/23) + 135/8 sin(7 t + 47/10) + 8/3 sin(10 t + 41/10) + 61/14 sin(14 t + 11/10) + 9/8 sin(15 t + 130/43) + 9/8 sin(16 t + 19/11) - 4259/9) θ(39 π - t) θ(t - 35 π) + (-15/7 sin(6/5 - 27 t) - 43/22 sin(9/8 - 24 t) - 56/11 sin(6/11 - 19 t) - 23/10 sin(26/25 - 18 t) + 1436/9 sin(t + 33/8) + 967/7 sin(2 t + 7/4) + 347/11 sin(3 t + 47/10) + 191/6 sin(4 t + 13/3) + 328/9 sin(5 t + 23/9) + 117/5 sin(6 t + 41/10) + 141/14 sin(7 t + 17/12) + 115/8 sin(8 t + 14/3) + 59/6 sin(9 t + 5/8) + 69/10 sin(10 t + 31/8) + 151/9 sin(11 t + 29/8) + 153/13 sin(12 t + 26/7) + 19/5 sin(13 t + 29/11) + 45/7 sin(14 t + 35/9) + 9/4 sin(15 t + 50/11) + 29/6 sin(16 t + 8/7) + 71/11 sin(17 t + 91/45) + 31/8 sin(20 t + 9/13) + 81/10 sin(21 t + 28/17) + 175/29 sin(22 t + 11/7) + 25/8 sin(23 t + 9/7) + 21/8 sin(25 t + 51/11) + 33/10 sin(26 t + 35/8) + 20/11 sin(28 t + 25/6) + 249/5) θ(35 π - t) θ(t - 31 π) + (-130/37 sin(1/6 - 18 t) - 37/8 sin(3/10 - 16 t) - 46/13 sin(2/5 - 14 t) - 33/4 sin(1/6 - 12 t) - 249/11 sin(14/9 - 6 t) - 108/5 sin(4/5 - 4 t) + 573/5 sin(t + 5/12) + 316/9 sin(2 t + 11/14) + 508/13 sin(3 t + 16/5) + 115/4 sin(5 t + 19/6) + 105/8 sin(7 t + 79/26) + 269/18 sin(8 t + 1/23) + 431/36 sin(9 t + 32/9) + 59/8 sin(10 t + 58/13) + 69/10 sin(11 t + 38/13) + 31/7 sin(13 t + 46/15) + 45/7 sin(15 t + 42/13) + 40/13 sin(17 t + 41/15) + 53/12 sin(19 t + 59/20) - 787/6) θ(31 π - t) θ(t - 27 π) + (-32/31 sin(1/6 - 15 t) - 83/10 sin(1/5 - 8 t) + 884/9 sin(t + 72/71) + 360/7 sin(2 t + 35/8) + 299/8 sin(3 t + 16/13) + 150/7 sin(4 t + 1/3) + 132/7 sin(5 t + 9/2) + 515/14 sin(6 t + 23/5) + 92/11 sin(7 t + 47/10) + 58/13 sin(9 t + 47/10) + 25/24 sin(10 t + 40/9) + 6/5 sin(11 t + 3/11) + 29/11 sin(12 t + 1/10) + 12/5 sin(13 t + 27/11) + 23/24 sin(14 t + 8/5) + 77/39 sin(16 t + 3/10) + 1/15 sin(17 t + 18/7) - 4029/8) θ(27 π - t) θ(t - 23 π) + (-13/25 sin(4/7 - 13 t) - 647/35 sin(4/3 - 3 t) + 311/6 sin(t + 7/2) + 293/15 sin(2 t + 19/10) + 69/10 sin(4 t + 24/7) + 67/7 sin(5 t + 7/2) + 139/7 sin(6 t + 38/11) + 52/5 sin(7 t + 5/11) + 103/10 sin(8 t + 10/9) + 19/3 sin(9 t + 1/7) + 107/11 sin(10 t + 16/9) + 3/2 sin(11 t + 3/2) + 43/13 sin(12 t + 4/15) + 47/13 sin(14 t + 20/7) + 16/13 sin(15 t + 5/9) + 13/6 sin(16 t + 8/11) + 16/9 sin(17 t + 18/5) - 4309/15) θ(23 π - t) θ(t - 19 π) + (-55/8 sin(8/15 - 9 t) - 111/8 sin(1 - 3 t) + 321/10 sin(t + 30/7) + 233/9 sin(2 t + 7/4) + 392/23 sin(4 t + 35/17) + 121/8 sin(5 t + 17/6) + 13/4 sin(6 t + 11/9) + 107/12 sin(7 t + 1/4) + 86/17 sin(8 t + 1/12) + 18/5 sin(10 t + 8/11) + 25/11 sin(11 t + 33/14) + 2 sin(12 t + 35/17) + 19/11 sin(13 t + 16/13) + 33/17 sin(14 t + 33/14) + 5/8 sin(15 t + 31/7) + 7/5 sin(16 t + 13/7) - 4348/7) θ(19 π - t) θ(t - 15 π) + (-94/27 sin(1/4 - 10 t) - 17/10 sin(4/11 - 9 t) - 20/7 sin(5/4 - 8 t) - 81/14 sin(13/9 - 7 t) + 3518/11 sin(t + 51/11) + 106/15 sin(2 t + 10/7) + 355/11 sin(3 t + 31/9) + 299/15 sin(4 t + 3/2) + 289/11 sin(5 t + 38/9) + 27/11 sin(6 t + 12/13) - 1166/9) θ(15 π - t) θ(t - 11 π) + (-13/5 sin(5/11 - 15 t) - 19/4 sin(12/11 - 8 t) - 57/5 sin(15/11 - 3 t) - 1773/11 sin(31/21 - t) + 1089/13 sin(2 t + 43/21) + 81/4 sin(4 t + 3/7) + 719/48 sin(5 t + 11/3) + 157/15 sin(6 t + 41/15) + 147/10 sin(7 t + 57/13) + 12/5 sin(9 t + 19/7) + 53/7 sin(10 t + 19/7) + 59/12 sin(11 t + 16/5) + 64/11 sin(12 t + 28/13) + 36/7 sin(13 t + 40/13) + 27/8 sin(14 t + 31/9) + 21/8 sin(16 t + 3/7) + 23/13 sin(17 t + 7/11) + 6/5 sin(18 t + 2/9) - 5609/9) θ(11 π - t) θ(t - 7 π) + (-5/12 sin(4/3 - 15 t) - 4/9 sin(9/11 - 13 t) - 227/35 sin(5/7 - 11 t) - 17/7 sin(13/9 - 10 t) - 71/12 sin(8/9 - 7 t) - 667/26 sin(1/27 - 6 t) - 425/22 sin(1/5 - 5 t) - 205/11 sin(17/12 - 3 t) + 2353/22 sin(t + 50/13) + 704/19 sin(2 t + 11/8) + 134/11 sin(4 t + 59/20) + 51/5 sin(8 t + 48/11) + 66/19 sin(9 t + 59/20) + 3/11 sin(12 t + 29/10) + 30/31 sin(14 t + 12/23) + 8/7 sin(16 t + 199/50) + 10/11 sin(17 t + 26/7) - 1013/3) θ(7 π - t) θ(t - 3 π) + (-9/5 sin(41/27 - 17 t) - 18/7 sin(4/9 - 14 t) - 16/9 sin(53/52 - 12 t) - 331/110 sin(13/9 - 7 t) - 164/7 sin(1/7 - 3 t) + 766/7 sin(t + 16/9) + 576/7 sin(2 t + 45/13) + 327/7 sin(4 t + 29/7) + 321/14 sin(5 t + 37/14) + 323/18 sin(6 t + 6/7) + 6/11 sin(8 t + 26/11) + 172/19 sin(9 t + 11/3) + 35/6 sin(10 t + 117/29) + 41/9 sin(11 t + 10/3) + 15/2 sin(13 t + 23/12) + 20/13 sin(15 t + 13/9) + 40/11 sin(16 t + 128/43) + 3154/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-2/3 sin(11/7 - 12 t) - 2/5 sin(17/11 - 8 t) + 178/7 sin(t + 33/7) + 135/7 sin(2 t + 33/7) + 59/4 sin(3 t + 11/7) + 9/4 sin(4 t + 11/7) + 23/4 sin(5 t + 11/7) + 13/5 sin(6 t + 11/7) + 27/7 sin(7 t + 11/7) + 2/3 sin(9 t + 11/7) + 5/6 sin(10 t + 33/7) + 1/16 sin(11 t + 3/2) + 86) θ(99 π - t) θ(t - 95 π) + (-31/15 sin(16/11 - 17 t) - 11/4 sin(11/7 - 12 t) + 526/3 sin(t + 8/5) + 25/7 sin(2 t + 7/4) + 103/6 sin(3 t + 8/5) + 12/5 sin(4 t + 8/5) + 49/6 sin(5 t + 8/5) + 14/5 sin(6 t + 5/3) + 11/2 sin(7 t + 8/5) + 1/9 sin(8 t + 9/5) + 9/10 sin(9 t + 7/4) + 25/8 sin(10 t + 5/3) + 29/6 sin(11 t + 8/5) + 3/4 sin(13 t + 5/3) + 3 sin(14 t + 5/3) + 17/18 sin(15 t + 23/5) + 5/8 sin(16 t + 10/7) - 922/7) θ(95 π - t) θ(t - 91 π) + (-1/22 sin(21/20 - 31 t) - 3/7 sin(10/7 - 30 t) - 3/4 sin(10/7 - 29 t) - 1/3 sin(17/11 - 28 t) - 3/4 sin(10/7 - 25 t) - 7/4 sin(3/2 - 24 t) - 3 sin(14/9 - 22 t) - 11/6 sin(11/7 - 20 t) - 21/4 sin(3/2 - 14 t) - 23/9 sin(14/9 - 13 t) - 17/9 sin(14/9 - 10 t) + 938/5 sin(t + 11/7) + 16/3 sin(2 t + 8/5) + 159/8 sin(3 t + 11/7) + 1/2 sin(4 t + 5/3) + 127/21 sin(5 t + 8/5) + 13/7 sin(6 t + 8/5) + 28/5 sin(7 t + 8/5) + 16/11 sin(8 t + 12/7) + 49/12 sin(9 t + 8/5) + 23/7 sin(11 t + 13/8) + 20/3 sin(12 t + 8/5) + 8/9 sin(15 t + 5/3) + 31/5 sin(16 t + 8/5) + 4/5 sin(17 t + 9/5) + 24/7 sin(18 t + 8/5) + 12/7 sin(19 t + 5/3) + 6/7 sin(21 t + 3/2) + 5/7 sin(23 t + 8/5) + 1/13 sin(26 t + 19/5) + sin(27 t + 8/5) - 822/5) θ(91 π - t) θ(t - 87 π) + (-29/7 sin(14/9 - 10 t) - 24/7 sin(3/2 - 9 t) - 8/3 sin(3/2 - 6 t) - 11/4 sin(11/7 - 5 t) - 3/4 sin(11/7 - t) + 5/7 sin(2 t + 11/7) + 5/2 sin(3 t + 8/5) + 84/17 sin(4 t + 8/5) + 5/8 sin(7 t + 33/7) + 60/7 sin(8 t + 8/5) + 55/8 sin(11 t + 8/5) + 8/5 sin(12 t + 5/3) - 663/8) θ(87 π - t) θ(t - 83 π) + (-25/7 sin(11/7 - 12 t) - 11/6 sin(11/7 - 10 t) - 221/20 sin(11/7 - 9 t) - 19/4 sin(11/7 - 8 t) - 37/8 sin(11/7 - 3 t) + 11/6 sin(t + 11/7) + 12/7 sin(2 t + 11/7) + 7/5 sin(4 t + 11/7) + 12/11 sin(5 t + 11/7) + 2/7 sin(6 t + 8/5) + 106/35 sin(7 t + 11/7) + 22/9 sin(11 t + 11/7) - 3106/15) θ(83 π - t) θ(t - 79 π) + (-2/5 sin(16/11 - 12 t) - 13/8 sin(11/7 - 11 t) - 7/8 sin(3/2 - 10 t) - 5/8 sin(11/7 - 9 t) - 51/4 sin(11/7 - 5 t) - 145/2 sin(11/7 - 3 t) - 421/28 sin(11/7 - 2 t) + 175/2 sin(t + 8/5) + 33/8 sin(4 t + 8/5) + 23/4 sin(6 t + 11/7) + 34/7 sin(7 t + 8/5) + 1/4 sin(8 t + 5/4) - 1147/8) θ(79 π - t) θ(t - 75 π) + (-28/9 sin(11/7 - 16 t) - 43/6 sin(11/7 - 10 t) + 3/2 sin(t + 41/9) + 151/5 sin(2 t + 8/5) + 1587/7 sin(3 t + 8/5) + 148/7 sin(4 t + 14/3) + 17/5 sin(5 t + 12/7) + 6/5 sin(6 t + 22/5) + 1/2 sin(7 t + 13/3) + 21/5 sin(8 t + 8/5) + 120/7 sin(9 t + 8/5) + 20/7 sin(11 t + 5/3) + 4/3 sin(12 t + 41/9) + 3/5 sin(13 t + 5/3) + 12/5 sin(14 t + 8/5) + 25/7 sin(15 t + 8/5) + 9/4 sin(17 t + 8/5) + 8/9 sin(18 t + 14/3) + 4/5 sin(19 t + 8/5) - 963/7) θ(75 π - t) θ(t - 71 π) + (-5/3 sin(11/7 - 6 t) - 145/8 sin(11/7 - 3 t) - 110/13 sin(11/7 - 2 t) + 21/10 sin(t + 33/7) + 47/8 sin(4 t + 8/5) + 1/5 sin(5 t + 5/3) + 20/7 sin(7 t + 8/5) + 53/26 sin(8 t + 8/5) + 8/5 sin(9 t + 8/5) + 7/5 sin(10 t + 8/5) + 6/5 sin(11 t + 8/5) + 3/4 sin(12 t + 8/5) - 765/4) θ(71 π - t) θ(t - 67 π) + (-26/3 sin(11/7 - 2 t) - 27/11 sin(11/7 - t) + 22/5 sin(3 t + 33/7) + 89/4 sin(4 t + 8/5) + 1/5 sin(5 t + 41/20) + 6/7 sin(6 t + 8/5) + 3/7 sin(7 t + 5/3) + 17/4 sin(8 t + 8/5) + 5/7 sin(9 t + 5/3) + 9/4 sin(10 t + 8/5) + 2/7 sin(11 t + 23/5) + 1/2 sin(12 t + 8/5) - 1457/14) θ(67 π - t) θ(t - 63 π) + (-26/7 sin(3/2 - 18 t) - 13/5 sin(11/7 - 17 t) - 11/7 sin(4/3 - 14 t) - 5/8 sin(4/3 - 13 t) - 87/11 sin(17/11 - 9 t) - 1431/8 sin(11/7 - 3 t) - 362/5 sin(11/7 - 2 t) - 566/13 sin(11/7 - t) + 211/3 sin(4 t + 8/5) + 99/10 sin(5 t + 33/7) + 170/13 sin(6 t + 8/5) + 155/7 sin(7 t + 8/5) + 26/3 sin(8 t + 8/5) + 21/4 sin(10 t + 11/7) + 26/3 sin(11 t + 8/5) + 59/7 sin(12 t + 8/5) + 3/8 sin(15 t + 23/5) + 45/11 sin(16 t + 8/5) - 379/3) θ(63 π - t) θ(t - 59 π) + (-50/11 sin(11/7 - 18 t) - 58/19 sin(14/9 - 17 t) - 1/2 sin(4/3 - 15 t) - 71/6 sin(11/7 - 14 t) - 17/2 sin(3/2 - 13 t) - 68/7 sin(14/9 - 12 t) - 436/29 sin(11/7 - 10 t) - 52/7 sin(17/11 - 9 t) - 33/2 sin(11/7 - 8 t) - 119/6 sin(11/7 - 2 t) - 1181/4 sin(11/7 - t) + 251/4 sin(3 t + 11/7) + 34/3 sin(4 t + 33/7) + 103/5 sin(5 t + 8/5) + 226/15 sin(6 t + 8/5) + 46/5 sin(7 t + 8/5) + 61/8 sin(11 t + 8/5) + 29/5 sin(16 t + 8/5) - 489/4) θ(59 π - t) θ(t - 55 π) + (-5/4 sin(11/7 - 17 t) - 25/4 sin(11/7 - 10 t) - 1/21 sin(6/5 - 9 t) - 59/7 sin(11/7 - 5 t) + 382/7 sin(t + 11/7) + 59/7 sin(2 t + 8/5) + 183/5 sin(3 t + 33/7) + 43/11 sin(4 t + 8/5) + 20 sin(6 t + 11/7) + 31/7 sin(7 t + 11/7) + 9/4 sin(8 t + 11/7) + 8/3 sin(11 t + 33/7) + 1/3 sin(12 t + 5/3) + 77/13 sin(13 t + 33/7) + 18/19 sin(14 t + 14/3) + 11/5 sin(15 t + 33/7) + 7/3 sin(16 t + 33/7) - 1669/7) θ(55 π - t) θ(t - 51 π) + (-1/3 sin(14/9 - 12 t) - 7/4 sin(11/7 - 9 t) - 3/8 sin(3/2 - 8 t) - 6/5 sin(11/7 - 7 t) - 27/14 sin(14/9 - 6 t) - 15/4 sin(11/7 - 5 t) - 99/8 sin(11/7 - 3 t) + 107/6 sin(t + 8/5) + 23/7 sin(2 t + 8/5) + sin(4 t + 14/9) + 5/7 sin(10 t + 11/7) + 2/7 sin(11 t + 8/5) - 2463/8) θ(51 π - t) θ(t - 47 π) + (-8/5 sin(11/7 - 11 t) - 3/4 sin(3/2 - 10 t) - 29/5 sin(11/7 - 7 t) - sin(14/9 - 6 t) - 17/3 sin(14/9 - 4 t) - 265/9 sin(11/7 - 3 t) + 197/5 sin(t + 8/5) + 337/7 sin(2 t + 8/5) + 1/4 sin(5 t + 7/5) + 7/5 sin(8 t + 11/7) + 3/5 sin(9 t + 14/3) + 12/11 sin(12 t + 11/7) - 316) θ(47 π - t) θ(t - 43 π) + (-3/4 sin(17/11 - 18 t) - 25/7 sin(11/7 - 17 t) - 7/3 sin(11/7 - 15 t) - 51/8 sin(14/9 - 14 t) - 18/5 sin(11/7 - 13 t) - 25/3 sin(11/7 - 11 t) - 1/5 sin(11/7 - 10 t) - 27/8 sin(11/7 - 9 t) - 53/6 sin(11/7 - 8 t) - 39/4 sin(11/7 - 7 t) - 1/5 sin(9/7 - 5 t) - 315/4 sin(11/7 - 3 t) + 855/8 sin(t + 11/7) + 449/5 sin(2 t + 8/5) + 37/6 sin(4 t + 11/7) + 12/11 sin(6 t + 14/3) + 7/4 sin(12 t + 33/7) + 1/5 sin(16 t + 33/7) - 2273/9) θ(43 π - t) θ(t - 39 π) + (-42/5 sin(11/7 - 12 t) - 1006/11 sin(11/7 - 4 t) - 353/7 sin(11/7 - 2 t) + 218/5 sin(t + 11/7) + 76/15 sin(3 t + 11/7) + 5/4 sin(5 t + 3/2) + 37/5 sin(6 t + 11/7) + 2/3 sin(7 t + 23/5) + 17/4 sin(8 t + 33/7) + 11/4 sin(9 t + 8/5) + 11/6 sin(10 t + 33/7) + 7/2 sin(11 t + 11/7) + 260/9) θ(39 π - t) θ(t - 35 π) + (-13/6 sin(11/7 - 12 t) - 3/7 sin(3/2 - 11 t) - 16/5 sin(11/7 - 8 t) - 15/4 sin(11/7 - 7 t) - 11/5 sin(11/7 - 6 t) - 3/7 sin(11/7 - 4 t) - 73/5 sin(11/7 - 3 t) - 224/3 sin(11/7 - 2 t) + 43/2 sin(t + 11/7) + 5/6 sin(5 t + 14/9) + 1/4 sin(9 t + 8/5) + 3/7 sin(10 t + 8/5) - 1366/5) θ(35 π - t) θ(t - 31 π) + (-4/5 sin(14/9 - 21 t) - 22/9 sin(11/7 - 20 t) - 40/9 sin(11/7 - 17 t) - 2/5 sin(10/7 - 12 t) - 38/7 sin(11/7 - 9 t) - 128/5 sin(11/7 - 4 t) - 1278/7 sin(11/7 - t) + 595/6 sin(2 t + 11/7) + 43/5 sin(3 t + 8/5) + 23/3 sin(5 t + 33/7) + 39/2 sin(6 t + 11/7) + 46/3 sin(7 t + 11/7) + 91/15 sin(8 t + 11/7) + 11/5 sin(10 t + 14/3) + 31/9 sin(11 t + 8/5) + 23/8 sin(13 t + 11/7) + 36/5 sin(14 t + 11/7) + 10/3 sin(15 t + 11/7) + 3/2 sin(16 t + 11/7) + sin(18 t + 14/3) + 3/8 sin(19 t + 32/7) + 3/7 sin(22 t + 8/5) + 5/9 sin(23 t + 11/7) + 2127/7) θ(31 π - t) θ(t - 27 π) + (-5/4 sin(10/7 - 18 t) - 9/8 sin(16/11 - 17 t) - 23/11 sin(3/2 - 16 t) - 13/7 sin(3/2 - 15 t) - 23/3 sin(3/2 - 14 t) - 31/8 sin(14/9 - 12 t) - 10/7 sin(13/9 - 11 t) - 72 sin(11/7 - 4 t) - 76/3 sin(11/7 - 3 t) - 1072/7 sin(11/7 - 2 t) + 1937/16 sin(t + 11/7) + 445/11 sin(5 t + 8/5) + 68/9 sin(6 t + 8/5) + 193/12 sin(7 t + 8/5) + 19/5 sin(8 t + 14/3) + 53/9 sin(9 t + 8/5) + 1/6 sin(10 t + 55/14) + 2/3 sin(13 t + 7/5) + 2783/5) θ(27 π - t) θ(t - 23 π) + (-11/6 sin(4/3 - 12 t) - 99/4 sin(11/7 - 6 t) + 325/7 sin(t + 14/3) + 161 sin(2 t + 33/7) + 1071/16 sin(3 t + 14/3) + 288/5 sin(4 t + 14/3) + 67/6 sin(5 t + 13/8) + 101/5 sin(7 t + 11/7) + 17/2 sin(8 t + 14/3) + 122/9 sin(9 t + 37/8) + 153/11 sin(10 t + 14/3) + 31/4 sin(11 t + 8/5) + 17/8 sin(13 t + 23/5) + sin(14 t + 25/6) + 23/8 sin(15 t + 23/5) + 17/5 sin(16 t + 23/5) - 3209/6) θ(23 π - t) θ(t - 19 π) + (-149/25 sin(3/2 - 17 t) - 19/6 sin(11/8 - 13 t) - 173/7 sin(3/2 - 12 t) - 43/8 sin(3/2 - 11 t) - 83/12 sin(11/7 - 9 t) - 14/13 sin(6/5 - 8 t) - 23/9 sin(11/8 - 7 t) - 106/3 sin(3/2 - 6 t) - 76/5 sin(13/9 - 5 t) - 451/6 sin(14/9 - 4 t) - 562/33 sin(3/2 - 3 t) - 255/2 sin(11/7 - 2 t) + 218/3 sin(t + 11/7) + 73/4 sin(10 t + 13/8) + 33/16 sin(14 t + 5/3) + 11/3 sin(15 t + 5/3) + 5/4 sin(16 t + 11/7) + 2242/3) θ(19 π - t) θ(t - 15 π) + (-3/2 sin(11/7 - 24 t) - 151/30 sin(11/7 - 20 t) - 121/10 sin(11/7 - 12 t) - 59/4 sin(11/7 - 9 t) - 3 sin(11/7 - 6 t) - 1/19 sin(1/4 - 5 t) - 185/7 sin(11/7 - 4 t) - 892/7 sin(11/7 - 2 t) + 742/9 sin(t + 33/7) + 68 sin(3 t + 8/5) + 43/3 sin(7 t + 8/5) + 3/2 sin(8 t + 8/5) + 51/4 sin(10 t + 11/7) + 135/8 sin(11 t + 11/7) + 27/14 sin(13 t + 8/5) + 37/4 sin(14 t + 11/7) + 71/7 sin(15 t + 14/9) + 7/4 sin(16 t + 3/2) + 38/7 sin(17 t + 14/3) + 59/9 sin(18 t + 14/3) + 12/5 sin(19 t + 23/5) + 18/7 sin(21 t + 14/9) + 8/5 sin(22 t + 8/5) + 25/8 sin(23 t + 33/7) + 3169/10) θ(15 π - t) θ(t - 11 π) + (-19/7 sin(4/3 - 23 t) - 59/9 sin(7/5 - 20 t) - 11/5 sin(4/3 - 19 t) - 88/7 sin(3/2 - 15 t) - 66/5 sin(3/2 - 13 t) - 11 sin(7/5 - 12 t) - 104/7 sin(3/2 - 9 t) - 38/5 sin(7/5 - 8 t) - 64/9 sin(3/2 - 7 t) - 37/5 sin(3/2 - 6 t) - 43 sin(14/9 - 5 t) - 348/5 sin(14/9 - 4 t) - 475/7 sin(14/9 - 3 t) + 4105/27 sin(t + 8/5) + 7/2 sin(2 t + 8/5) + 86/9 sin(10 t + 5/3) + 17/5 sin(11 t + 7/4) + 35/2 sin(14 t + 5/3) + 37/6 sin(16 t + 14/9) + 12/5 sin(17 t + 23/5) + 4/9 sin(18 t + 3/2) + 38/11 sin(21 t + 5/3) + 15/7 sin(22 t + 11/6) - 2089/18) θ(11 π - t) θ(t - 7 π) + (-27/7 sin(11/7 - 12 t) - 11/3 sin(11/7 - 10 t) - 116/13 sin(14/9 - 9 t) - 58/7 sin(14/9 - 8 t) - 46/7 sin(11/7 - 7 t) - 29/2 sin(11/7 - 6 t) - 35/4 sin(14/9 - 5 t) - 561/7 sin(11/7 - 4 t) + 184/9 sin(t + 11/7) + 344/5 sin(2 t + 8/5) + 169/3 sin(3 t + 8/5) + 13/4 sin(11 t + 8/5) - 8356/9) θ(7 π - t) θ(t - 3 π) + (-11/6 sin(14/9 - 18 t) - 7/2 sin(17/11 - 15 t) - 392/23 sin(3/2 - 13 t) - 55/6 sin(16/11 - 10 t) - 173/5 sin(3/2 - 9 t) - 253/5 sin(3/2 - 8 t) - 271/6 sin(3/2 - 7 t) - 234/5 sin(11/7 - 3 t) - 65/2 sin(11/7 - t) + 803/8 sin(2 t + 8/5) + 43/5 sin(4 t + 8/5) + 104/3 sin(5 t + 8/5) + 7 sin(6 t + 8/5) + 50/9 sin(11 t + 5/3) + 17/4 sin(12 t + 8/5) + 26/7 sin(14 t + 11/7) + 15/16 sin(16 t + 8/5) + 4/3 sin(17 t + 9/5) + 3/4 sin(19 t + 9/5) + 1/3 sin(20 t + 23/11) + 8/9 sin(21 t + 5/3) - 3781/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-179/7 sin(11/7 - 2 t) - 13/2 sin(11/7 - t) + 312/7 sin(3 t + 11/7) + 29/3 sin(4 t + 11/7) + 8/3 sin(5 t + 14/9) + 19/8 sin(6 t + 11/7) + 7/5 sin(7 t + 11/7) + 19/4 sin(8 t + 33/7) + 9/7 sin(9 t + 11/7) + 13/7 sin(10 t + 11/7) + 10/11 sin(11 t + 3/2) + sin(12 t + 14/9) + 545/6) θ(99 π - t) θ(t - 95 π) + (-49/16 sin(3/2 - 13 t) - 16/17 sin(11/7 - 9 t) - 4/7 sin(13/9 - 5 t) + 5/7 sin(t + 14/3) + 111/11 sin(2 t + 8/5) + 1/3 sin(3 t + 40/9) + 1/3 sin(4 t + 3/2) + 1/6 sin(6 t + 7/4) + 1/5 sin(7 t + 23/12) + 23/12 sin(8 t + 8/5) + 8/5 sin(10 t + 5/3) + 11/4 sin(11 t + 5/3) + 19/18 sin(12 t + 8/5) + 5/2 sin(14 t + 8/5) + 12/7 sin(15 t + 7/4) + sin(16 t + 9/5) + 17/7 sin(17 t + 13/8) - 944/5) θ(95 π - t) θ(t - 91 π) + (-3/2 sin(3/2 - 30 t) - 31/9 sin(3/2 - 26 t) - 13/3 sin(3/2 - 22 t) - 9/2 sin(3/2 - 21 t) - 5/9 sin(28/27 - 20 t) - 53/6 sin(14/9 - 19 t) - 50/17 sin(3/2 - 17 t) - 48/5 sin(3/2 - 13 t) - 8/3 sin(3/2 - 12 t) - 4/9 sin(7/5 - 9 t) - 7/3 sin(11/7 - 3 t) + 31/6 sin(t + 33/7) + 66/5 sin(2 t + 11/7) + 16/3 sin(4 t + 8/5) + 1/7 sin(5 t + 13/9) + 5/8 sin(6 t + 13/9) + 3/5 sin(7 t + 14/3) + 9/4 sin(8 t + 8/5) + 5/11 sin(10 t + 5/3) + 34/7 sin(11 t + 8/5) + 12/7 sin(14 t + 8/5) + 74/7 sin(15 t + 8/5) + 9/8 sin(16 t + 8/5) + 12/5 sin(18 t + 14/9) + 3/4 sin(23 t + 10/7) + 8/5 sin(24 t + 33/7) + 1/8 sin(25 t + 5/9) + 11/5 sin(27 t + 13/8) + 11/4 sin(28 t + 12/7) + 9/7 sin(29 t + 11/7) + 2/3 sin(31 t + 3/2) - 1904/9) θ(91 π - t) θ(t - 87 π) + (-27/5 sin(11/7 - 9 t) - 1/4 sin(5/4 - 8 t) - 1/2 sin(3/2 - 5 t) + 10/7 sin(t + 33/7) + 7/8 sin(2 t + 8/5) + 2/5 sin(3 t + 11/7) + 11/5 sin(4 t + 8/5) + 8/3 sin(6 t + 8/5) + 21/4 sin(7 t + 8/5) + 46/5 sin(10 t + 8/5) + 4/7 sin(11 t + 7/4) + 10/7 sin(12 t + 8/5) + 317/4) θ(87 π - t) θ(t - 83 π) + (-33/4 sin(11/7 - 8 t) - 19/6 sin(11/7 - 7 t) - 5/7 sin(11/7 - 3 t) - 7/4 sin(11/7 - 2 t) - 4/7 sin(14/9 - t) + 2/7 sin(4 t + 17/11) + 5/11 sin(5 t + 8/5) + sin(6 t + 33/7) + 5/3 sin(9 t + 8/5) + 43/4 sin(10 t + 8/5) + 5/4 sin(11 t + 14/3) + 23/7 sin(12 t + 8/5) + 497/6) θ(83 π - t) θ(t - 79 π) + (-9/4 sin(11/7 - 12 t) - 8/5 sin(3/2 - 11 t) - 11/5 sin(11/7 - 10 t) - 73/3 sin(11/7 - 6 t) - 26/5 sin(14/9 - 5 t) - 65/7 sin(11/7 - 4 t) - 67/7 sin(11/7 - 3 t) - 16/5 sin(11/7 - t) + 31 sin(2 t + 8/5) + 11/4 sin(7 t + 11/7) + 13/9 sin(8 t + 14/3) + 9/7 sin(9 t + 17/11) + 397/5) θ(79 π - t) θ(t - 75 π) + (-451/8 sin(11/7 - t) + 356/17 sin(2 t + 8/5) + 2 sin(3 t + 5/3) + 2 sin(4 t + 23/5) + 145/4 sin(5 t + 8/5) + 337/12 sin(6 t + 8/5) + 14/3 sin(7 t + 14/3) + 5/4 sin(8 t + 40/9) + 9/4 sin(9 t + 12/7) + 19/10 sin(10 t + 5/3) + 23/2 sin(11 t + 8/5) + 15/4 sin(12 t + 8/5) + 10/3 sin(13 t + 14/3) + sin(14 t + 9/5) + 4/5 sin(15 t + 32/7) + 16/5 sin(16 t + 8/5) + 13/3 sin(17 t + 8/5) + 12/7 sin(18 t + 5/3) + 9/4 sin(19 t + 14/3) - 449/2) θ(75 π - t) θ(t - 71 π) + (-3/7 sin(14/9 - 11 t) - 38/5 sin(11/7 - 6 t) - 19/7 sin(3/2 - 5 t) - 25/8 sin(11/7 - t) + 47/7 sin(2 t + 8/5) + 16 sin(3 t + 8/5) + 38/7 sin(4 t + 33/7) + 65/11 sin(7 t + 8/5) + 10/7 sin(8 t + 8/5) + 17/16 sin(9 t + 8/5) + 13/6 sin(10 t + 8/5) + 1/3 sin(12 t + 8/5) - 103/7) θ(71 π - t) θ(t - 67 π) + (-13/5 sin(14/9 - 12 t) - 11/5 sin(14/9 - 10 t) - 43/4 sin(11/7 - 8 t) - 39/7 sin(11/7 - 2 t) + 25/7 sin(t + 11/7) + 7/3 sin(3 t + 8/5) + 93/7 sin(4 t + 8/5) + 12/5 sin(5 t + 13/8) + 39/4 sin(6 t + 8/5) + 10/7 sin(7 t + 11/7) + 2/3 sin(9 t + 7/5) + 7/8 sin(11 t + 14/9) - 87/7) θ(67 π - t) θ(t - 63 π) + (-36/5 sin(17/11 - 18 t) - 3/7 sin(4/3 - 14 t) - 31/6 sin(11/7 - 13 t) - 203/5 sin(14/9 - 10 t) - 55/3 sin(14/9 - 9 t) - 117/5 sin(11/7 - 8 t) - 807/31 sin(11/7 - 5 t) - 181/4 sin(11/7 - 4 t) + 329/4 sin(t + 8/5) + 110/3 sin(2 t + 33/7) + 151/25 sin(3 t + 8/5) + 5 sin(6 t + 23/5) + 5/2 sin(7 t + 13/7) + 364/33 sin(11 t + 13/8) + 169/14 sin(12 t + 5/3) + 9/8 sin(15 t + 11/7) + 6/5 sin(16 t + 9/2) + 24/5 sin(17 t + 8/5) + 1035/8) θ(63 π - t) θ(t - 59 π) + (-11/5 sin(3/2 - 18 t) - 1631/5 sin(11/7 - 2 t) + 669/5 sin(t + 11/7) + 89/5 sin(3 t + 11/7) + 191/8 sin(4 t + 11/7) + 140/3 sin(5 t + 8/5) + 7/3 sin(6 t + 9/5) + 169/7 sin(7 t + 8/5) + 78/5 sin(8 t + 8/5) + 212/9 sin(9 t + 8/5) + 31/5 sin(10 t + 8/5) + 8 sin(11 t + 8/5) + 11/2 sin(12 t + 8/5) + 23/7 sin(13 t + 8/5) + 4/7 sin(14 t + 3/2) + 3/5 sin(15 t + 10/7) + 1/7 sin(16 t + 43/21) + 3/2 sin(17 t + 33/7) + 1123/6) θ(59 π - t) θ(t - 55 π) + (-4/5 sin(3/2 - 10 t) - 9/4 sin(14/9 - 7 t) - 261/13 sin(11/7 - 3 t) + 197/7 sin(t + 11/7) + 373/7 sin(2 t + 11/7) + 11/4 sin(4 t + 11/7) + 55/27 sin(5 t + 11/7) + 120/7 sin(6 t + 11/7) + 19/3 sin(8 t + 11/7) + 167/12 sin(9 t + 11/7) + 62/9 sin(11 t + 33/7) + 4/5 sin(12 t + 5/3) + 89/22 sin(13 t + 33/7) + 3/4 sin(14 t + 8/5) + 11/7 sin(15 t + 11/7) + 2/7 sin(16 t + 17/11) + 5/3 sin(17 t + 11/7) - 3543/5) θ(55 π - t) θ(t - 51 π) + (-5/6 sin(14/9 - 11 t) - 1/11 sin(11/7 - 8 t) - 6/5 sin(17/11 - 6 t) - 1/8 sin(7/5 - 5 t) - 116/23 sin(11/7 - 3 t) + 18 sin(t + 8/5) + 67/3 sin(2 t + 8/5) + 8/9 sin(4 t + 14/9) + sin(7 t + 33/7) + 3/5 sin(9 t + 33/7) + 1/32 sin(10 t + 9/7) + 1/21 sin(12 t + 11/7) - 3268/5) θ(51 π - t) θ(t - 47 π) + (-7/5 sin(11/7 - 7 t) + 4 sin(t + 14/3) + 281/4 sin(2 t + 8/5) + 51/8 sin(3 t + 8/5) + 51/7 sin(4 t + 8/5) + 73/36 sin(5 t + 11/7) + 37/8 sin(6 t + 8/5) + 27/11 sin(8 t + 8/5) + 4/3 sin(9 t + 8/5) + 2/7 sin(10 t + 14/9) + 6/11 sin(11 t + 14/3) + 7/8 sin(12 t + 8/5) - 18143/28) θ(47 π - t) θ(t - 43 π) + (-1/5 sin(10/7 - 18 t) - 11/4 sin(11/7 - 15 t) - 35/34 sin(14/9 - 14 t) - 47/7 sin(11/7 - 11 t) - 14/3 sin(14/9 - 10 t) - 107/8 sin(11/7 - 7 t) - 2/3 sin(7/5 - 5 t) + 178/7 sin(t + 8/5) + 2461/12 sin(2 t + 8/5) + 104/15 sin(3 t + 8/5) + 17/5 sin(4 t + 11/7) + 66/7 sin(6 t + 8/5) + 7 sin(8 t + 8/5) + 2/7 sin(9 t + 3/2) + 8/3 sin(12 t + 8/5) + 5/4 sin(13 t + 14/3) + 14/15 sin(16 t + 14/9) + 6/5 sin(17 t + 33/7) - 624) θ(43 π - t) θ(t - 39 π) + (-8/3 sin(11/7 - 11 t) - 26/9 sin(11/7 - 10 t) - 41/8 sin(11/7 - 6 t) - 92/5 sin(11/7 - 5 t) + 1157/6 sin(t + 11/7) + 5/2 sin(2 t + 8/5) + 79/3 sin(3 t + 11/7) + 106/5 sin(4 t + 11/7) + 63/8 sin(7 t + 11/7) + 254/23 sin(8 t + 11/7) + 9/4 sin(9 t + 33/7) + sin(12 t + 11/7) - 3052/5) θ(39 π - t) θ(t - 35 π) + (-35/6 sin(11/7 - 7 t) - 71/4 sin(11/7 - 3 t) + 51/2 sin(t + 11/7) + 101/3 sin(2 t + 11/7) + 63/5 sin(4 t + 11/7) + 17/5 sin(5 t + 8/5) + 26/9 sin(6 t + 8/5) + 13/6 sin(8 t + 11/7) + 5/3 sin(9 t + 11/7) + 13/8 sin(10 t + 8/5) + 1/38 sin(11 t + 13/5) + 3/8 sin(12 t + 11/7) - 2405/6) θ(35 π - t) θ(t - 31 π) + (-12/7 sin(11/7 - 19 t) - sin(14/9 - 17 t) - 3/4 sin(3/2 - 16 t) - 2 sin(3/2 - 11 t) - 38/13 sin(11/7 - 9 t) - 14/5 sin(11/7 - 8 t) - 245/6 sin(11/7 - 3 t) + 3385/12 sin(t + 11/7) + 1759/6 sin(2 t + 11/7) + 302/5 sin(4 t + 8/5) + 72/5 sin(5 t + 33/7) + 301/10 sin(6 t + 11/7) + 107/8 sin(7 t + 11/7) + 109/6 sin(10 t + 8/5) + 49/10 sin(12 t + 11/7) + 1/5 sin(13 t + 8/5) + 16/3 sin(14 t + 8/5) + 5/3 sin(15 t + 14/9) + 21/5 sin(18 t + 8/5) + 11/6 sin(20 t + 11/7) + 2/3 sin(21 t + 3/2) + 5/3 sin(22 t + 14/9) + 15/14 sin(23 t + 11/7) - 5735/12) θ(31 π - t) θ(t - 27 π) + (-3 sin(3/2 - 18 t) - 21/4 sin(3/2 - 17 t) - 46/9 sin(3/2 - 16 t) - 36/5 sin(3/2 - 15 t) - 19/4 sin(3/2 - 14 t) - 43/5 sin(3/2 - 13 t) - 25/7 sin(13/9 - 12 t) - 91/10 sin(3/2 - 11 t) - 19/6 sin(13/9 - 10 t) - 15/2 sin(14/9 - 9 t) - 31/4 sin(14/9 - 8 t) - 1/15 sin(3/2 - 7 t) - 12889/24 sin(11/7 - t) + 71 sin(2 t + 8/5) + 107/3 sin(3 t + 8/5) + 111/4 sin(4 t + 8/5) + 491/14 sin(5 t + 8/5) + 11/2 sin(6 t + 13/8) - 1912/5) θ(27 π - t) θ(t - 23 π) + (-19/7 sin(3/2 - 15 t) - 8/5 sin(4/3 - 13 t) - 23/6 sin(11/7 - 11 t) - 31/2 sin(14/9 - 8 t) - 116/3 sin(11/7 - 5 t) + 1033/5 sin(t + 33/7) + 99/2 sin(2 t + 33/7) + 332/9 sin(3 t + 3/2) + 504/5 sin(4 t + 11/7) + 83/5 sin(6 t + 8/5) + 31/3 sin(7 t + 8/5) + 58/5 sin(9 t + 11/7) + 3/5 sin(10 t + 49/11) + 49/9 sin(12 t + 14/9) + 26/5 sin(14 t + 11/7) + 13/4 sin(16 t + 10/7) - 1125/7) θ(23 π - t) θ(t - 19 π) + (-11/7 sin(11/7 - 15 t) - 10/7 sin(5/4 - 14 t) - 41/4 sin(3/2 - 13 t) - 484/23 sin(3/2 - 10 t) - 167/9 sin(3/2 - 9 t) - 370/13 sin(14/9 - 7 t) - 34/3 sin(11/7 - 5 t) + 559/10 sin(t + 8/5) + 25 sin(2 t + 8/5) + 13/2 sin(3 t + 5/3) + 215/8 sin(4 t + 8/5) + 51/4 sin(6 t + 11/7) + 57/4 sin(8 t + 8/5) + 97/6 sin(11 t + 5/3) + 157/7 sin(12 t + 5/3) + 12/13 sin(16 t + 2) + 79/10 sin(17 t + 12/7) - 4789/5) θ(19 π - t) θ(t - 15 π) + (-53/26 sin(3/2 - 22 t) - 27/7 sin(16/11 - 12 t) - 14/3 sin(3/2 - 11 t) - 41/14 sin(13/9 - 3 t) - 1367/12 sin(11/7 - t) + 356/3 sin(2 t + 11/7) + 79/3 sin(4 t + 11/7) + 143/3 sin(5 t + 11/7) + 57/4 sin(6 t + 11/7) + 55/2 sin(7 t + 11/7) + 67/6 sin(8 t + 3/2) + 77/5 sin(9 t + 14/9) + 221/7 sin(10 t + 11/7) + 138/5 sin(13 t + 11/7) + 161/20 sin(14 t + 14/9) + 167/7 sin(15 t + 33/7) + 123/7 sin(16 t + 14/3) + 37/6 sin(17 t + 14/3) + 43/5 sin(18 t + 17/11) + 109/8 sin(19 t + 3/2) + 19/2 sin(20 t + 3/2) + 16/5 sin(21 t + 8/5) + 15/4 sin(23 t + 11/7) + 7/8 sin(24 t + 17/11) - 2953/3) θ(15 π - t) θ(t - 11 π) + (-11/5 sin(7/5 - 22 t) - 30/7 sin(5/4 - 21 t) - 26/3 sin(10/7 - 20 t) - 17/9 sin(6/5 - 19 t) - 31/7 sin(10/7 - 18 t) - 93/7 sin(3/2 - 15 t) - 105/8 sin(3/2 - 13 t) - 58/5 sin(13/9 - 9 t) - 22/3 sin(3/2 - 8 t) - 34/3 sin(11/7 - 7 t) - 47/3 sin(3/2 - 6 t) - 127/5 sin(17/11 - 5 t) + 111/8 sin(t + 8/5) + 478/7 sin(2 t + 8/5) + 166/5 sin(3 t + 8/5) + 19/8 sin(4 t + 13/9) + 48/5 sin(10 t + 5/3) + 122/5 sin(11 t + 5/3) + 31/6 sin(12 t + 8/5) + 221/20 sin(14 t + 13/8) + 3/4 sin(16 t + 2/5) + 3/5 sin(17 t + 7/4) + 47/7 sin(23 t + 9/5) - 6196/7) θ(11 π - t) θ(t - 7 π) + (-32/7 sin(11/7 - 11 t) - 31/8 sin(14/9 - 10 t) - 44/7 sin(11/7 - 9 t) - 44/3 sin(11/7 - 6 t) - 396/5 sin(11/7 - t) + 252/5 sin(2 t + 11/7) + 126/5 sin(3 t + 8/5) + 133/6 sin(4 t + 8/5) + 72/7 sin(5 t + 11/7) + 28/5 sin(7 t + 8/5) + 5/3 sin(8 t + 8/5) + 7/3 sin(12 t + 8/5) + 37) θ(7 π - t) θ(t - 3 π) + (-27/11 sin(7/5 - 21 t) - 16/7 sin(3/2 - 20 t) - 23/4 sin(3/2 - 14 t) - 43/14 sin(7/5 - 9 t) - 101/6 sin(11/7 - 8 t) - 146/3 sin(11/7 - 6 t) - 1455/13 sin(11/7 - 4 t) - 271 sin(11/7 - t) + 697/6 sin(2 t + 8/5) + 220/3 sin(3 t + 8/5) + 34/3 sin(5 t + 3/2) + 180/7 sin(7 t + 11/7) + 47/5 sin(10 t + 5/3) + 19/9 sin(11 t + 5/3) + 21/4 sin(12 t + 13/8) + 3/5 sin(13 t + 12/7) + 61/20 sin(15 t + 8/5) + 11/10 sin(16 t + 9/2) + 145/18 sin(17 t + 5/3) + 8/3 sin(18 t + 9/5) + 41/8 sin(19 t + 5/3) + 26) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-324/17 sin(8/5 - 3 t) - sin(8/5 - t) + 359/12 sin(2 t + 8/5) + 2/3 sin(4 t + 8/5) + 2/5 sin(5 t + 8/5) + 17/4 sin(6 t + 8/5) + 1/3 sin(7 t + 11/7) + 11/3 sin(8 t + 8/5) + sin(9 t + 8/5) + 7/6 sin(10 t + 8/5) + 1/2 sin(11 t + 33/7) + 3/5 sin(12 t + 8/5) - 2441/4) θ(163 π - t) θ(t - 159 π) + (-25/4 sin(8/5 - 8 t) - 27/4 sin(8/5 - 7 t) - 40/3 sin(8/5 - 2 t) - 230/7 sin(8/5 - t) + 204/5 sin(3 t + 8/5) + 25/12 sin(5 t + 8/5) + 11/3 sin(6 t + 33/7) + 1/4 sin(9 t + 9/2) + 25/12 sin(10 t + 14/3) + 4/7 sin(11 t + 5/3) + 1/17 sin(12 t + 11/4) + 551) θ(159 π - t) θ(t - 155 π) + (-7/8 sin(11/7 - 12 t) + 158/7 sin(t + 8/5) + 39/8 sin(2 t + 33/7) + 131/6 sin(3 t + 33/7) + 3/4 sin(4 t + 14/3) + 32/7 sin(5 t + 14/3) + 6 sin(6 t + 33/7) + 1/6 sin(7 t + 7/4) + 1/7 sin(8 t + 23/5) + 12/5 sin(9 t + 33/7) + sin(10 t + 8/5) + 2/5 sin(11 t + 8/5) + 1477/5) θ(155 π - t) θ(t - 151 π) + (-2/3 sin(3/2 - 12 t) - 5/2 sin(11/7 - 11 t) - 6/7 sin(11/7 - 9 t) - 2 sin(11/7 - 8 t) + 15/8 sin(t + 33/7) + 139/4 sin(2 t + 8/5) + 15/4 sin(3 t + 8/5) + 30/7 sin(4 t + 8/5) + 3/2 sin(5 t + 14/3) + 6 sin(6 t + 8/5) + 5/6 sin(7 t + 14/3) + 1/10 sin(10 t + 8/5) - 2527/8) θ(151 π - t) θ(t - 147 π) + (-15/4 sin(3/2 - 11 t) - 361/7 sin(8/5 - 3 t) + 62 sin(t + 8/5) + 1311/10 sin(2 t + 8/5) + 3/5 sin(4 t + 4/3) + 11/4 sin(5 t + 33/7) + 43/5 sin(6 t + 8/5) + 3 sin(7 t + 33/7) + 21/5 sin(8 t + 8/5) + 7/3 sin(9 t + 5/3) + 33/8 sin(10 t + 8/5) + 13/5 sin(12 t + 8/5) - 2705/4) θ(147 π - t) θ(t - 143 π) + (-77/6 sin(11/7 - 11 t) - 161/16 sin(8/5 - 7 t) - 34/5 sin(11/7 - 6 t) - 119/2 sin(8/5 - 3 t) + 191/4 sin(t + 8/5) + 3214/17 sin(2 t + 8/5) + 449/7 sin(4 t + 8/5) + 31/3 sin(5 t + 11/7) + 361/9 sin(8 t + 8/5) + 15 sin(9 t + 8/5) + 17/2 sin(10 t + 11/7) + 127/14 sin(12 t + 8/5) + 1896/5) θ(143 π - t) θ(t - 139 π) + (-1/12 sin(19/18 - 12 t) - 123/2 sin(8/5 - 3 t) - 2287/5 sin(8/5 - t) + 119/3 sin(2 t + 8/5) + 45/2 sin(4 t + 8/5) + 349/10 sin(5 t + 8/5) + 26/3 sin(6 t + 8/5) + 3/5 sin(7 t + 32/7) + 8/5 sin(8 t + 11/7) + 35/3 sin(9 t + 8/5) + 22/7 sin(10 t + 8/5) + 34 sin(11 t + 8/5) - 563/5) θ(139 π - t) θ(t - 135 π) + (-7/4 sin(10/7 - 25 t) - 32/3 sin(3/2 - 21 t) - 53/5 sin(11/7 - 19 t) - 47/6 sin(8/5 - 16 t) - 53/5 sin(3/2 - 15 t) - 189/5 sin(3/2 - 14 t) - 45/2 sin(11/7 - 13 t) - 185/7 sin(11/7 - 11 t) - 30 sin(3/2 - 10 t) - 766/15 sin(11/7 - 9 t) - 283/3 sin(11/7 - 6 t) - 375/4 sin(11/7 - 5 t) - 361/6 sin(11/7 - 4 t) - 521/4 sin(11/7 - 3 t) - 1471/3 sin(8/5 - 2 t) + 7921/22 sin(t + 8/5) + 489/10 sin(7 t + 8/5) + 127/5 sin(8 t + 8/5) + 337/7 sin(12 t + 8/5) + 56/3 sin(17 t + 8/5) + 47/5 sin(18 t + 8/5) + 23/8 sin(20 t + 8/5) + 3/4 sin(22 t + 5/3) + 15/4 sin(23 t + 5/3) + 8/5 sin(24 t + 3/2) - 1062/5) θ(135 π - t) θ(t - 131 π) + (-19/10 sin(11/7 - 12 t) - 24/7 sin(11/7 - 11 t) - 4/3 sin(8/5 - 9 t) - 3/4 sin(3/2 - 6 t) - 144/7 sin(8/5 - 5 t) - 13/4 sin(11/7 - 4 t) - 417/7 sin(8/5 - 3 t) - 266/3 sin(8/5 - 2 t) + 116 sin(t + 8/5) + 7/3 sin(7 t + 33/7) + 9/5 sin(8 t + 8/5) + 17/6 sin(10 t + 33/7) - 47/2) θ(131 π - t) θ(t - 127 π) + (-2/5 sin(3/2 - 12 t) - 34/7 sin(11/7 - 11 t) - 45/22 sin(8/5 - 9 t) - 29/3 sin(11/7 - 7 t) - 135/4 sin(8/5 - 3 t) + 343/4 sin(t + 8/5) + 1082/7 sin(2 t + 8/5) + 145/12 sin(4 t + 8/5) + 71/8 sin(5 t + 8/5) + 62/9 sin(6 t + 8/5) + 18/7 sin(8 t + 8/5) - 15848/23) θ(127 π - t) θ(t - 123 π) + (-27/7 sin(11/7 - 10 t) - 47/5 sin(8/5 - 8 t) - 43/4 sin(8/5 - 4 t) - 49 sin(8/5 - t) + 73/4 sin(2 t + 8/5) + 66/5 sin(3 t + 8/5) + 177/8 sin(5 t + 8/5) + 41/3 sin(6 t + 8/5) + 5 sin(7 t + 8/5) + 28/5 sin(9 t + 8/5) + 22/3 sin(11 t + 8/5) + 9/5 sin(12 t + 11/7) - 3376/7) θ(123 π - t) θ(t - 119 π) + (-29/7 sin(11/7 - 11 t) - 5/2 sin(11/7 - 9 t) - 19/2 sin(11/7 - 8 t) - 10/7 sin(11/7 - 6 t) - 253/18 sin(11/7 - 5 t) - 17/8 sin(11/7 - 4 t) - 65/4 sin(8/5 - 3 t) - 13/6 sin(11/7 - 2 t) + 212/5 sin(t + 8/5) + 53/13 sin(7 t + 8/5) + 25/4 sin(10 t + 8/5) + 2/5 sin(12 t + 3/2) + 1261/3) θ(119 π - t) θ(t - 115 π) + (-55/8 sin(11/7 - 8 t) - 174/5 sin(8/5 - 5 t) - 128/5 sin(8/5 - 3 t) - 31 sin(8/5 - 2 t) + 159/5 sin(t + 33/7) + 229/3 sin(4 t + 8/5) + 143/5 sin(6 t + 8/5) + 28/3 sin(7 t + 8/5) + 19/3 sin(9 t + 8/5) + 122/7 sin(10 t + 8/5) + 19/2 sin(11 t + 8/5) + 3 sin(12 t + 8/5) - 9/4) θ(115 π - t) θ(t - 111 π) + (-11/4 sin(8/5 - 6 t) - 602/5 sin(8/5 - t) + 1067/7 sin(2 t + 8/5) + 229/4 sin(3 t + 8/5) + 23/6 sin(4 t + 11/7) + 337/21 sin(5 t + 8/5) + 205/17 sin(7 t + 8/5) + 43/5 sin(8 t + 33/7) + 6 sin(9 t + 11/7) + 11/7 sin(10 t + 33/7) + 87/8 sin(11 t + 8/5) + 8/5 sin(12 t + 8/5) + 207/4) θ(111 π - t) θ(t - 107 π) + (-9/5 sin(3/2 - 18 t) - 8/5 sin(3/2 - 13 t) - 12/5 sin(3/2 - 12 t) - 19/4 sin(11/7 - 8 t) + 178/5 sin(t + 33/7) + 1238/7 sin(2 t + 8/5) + 33/2 sin(3 t + 8/5) + sin(4 t + 3/2) + 2/5 sin(5 t + 4/3) + 61/3 sin(6 t + 8/5) + 21/2 sin(7 t + 8/5) + 29/4 sin(9 t + 11/7) + 1/6 sin(10 t + 7/3) + 31/3 sin(11 t + 8/5) + 8/5 sin(14 t + 33/7) + 6 sin(15 t + 8/5) + 5/3 sin(16 t + 33/7) + 11/6 sin(17 t + 8/5) + 15/4 sin(19 t + 8/5) + 2/3 sin(20 t + 5/3) + 1/14 sin(21 t + 1/2) + 1/4 sin(22 t + 8/5) + 269/4) θ(107 π - t) θ(t - 103 π) + (-9 sin(11/7 - 11 t) - 2/3 sin(5/4 - 8 t) - 41/2 sin(11/7 - 7 t) - 39/5 sin(8/5 - 3 t) - 79/4 sin(8/5 - t) + 3137/6 sin(2 t + 8/5) + 99/5 sin(4 t + 33/7) + 61/6 sin(5 t + 8/5) + 72/5 sin(6 t + 8/5) + 196/15 sin(9 t + 11/7) + 178/7 sin(10 t + 8/5) + 100/11 sin(12 t + 8/5) + 38/3 sin(13 t + 11/7) + 35/2 sin(14 t + 11/7) + 19/4 sin(15 t + 11/7) + 19/5 sin(16 t + 8/5) + 25/6 sin(17 t + 8/5) + 19/4 sin(18 t + 11/7) + 3 sin(19 t + 11/7) + 13/12 sin(20 t + 3/2) + 207/8) θ(103 π - t) θ(t - 99 π) + (-2/5 sin(1/4 - 12 t) - 5/3 sin(3/2 - 7 t) - 35/17 sin(1/5 - 5 t) - 562/7 sin(12/11 - t) + 56/3 sin(2 t + 8/5) + 67/7 sin(3 t + 19/6) + 9/8 sin(4 t + 14/5) + 1/3 sin(6 t + 14/5) + 10/7 sin(8 t + 14/3) + 4/7 sin(9 t + 7/4) + 4/3 sin(10 t + 4/3) + 1/2 sin(11 t + 17/4) - 7877/13) θ(99 π - t) θ(t - 95 π) + (-8/7 sin(1/4 - 9 t) - 3/7 sin(7/5 - 7 t) + 35/3 sin(3 t) + 1241/9 sin(t + 13/5) + 111/8 sin(2 t + 4) + 34/5 sin(4 t + 4) + 6 sin(5 t + 28/9) + 25/6 sin(6 t + 4) + 5/2 sin(8 t + 7/4) + 2 sin(10 t + 10/3) + 8/3 sin(11 t + 1/3) + 3/5 sin(12 t + 7/2) + 3954/7) θ(95 π - t) θ(t - 91 π) + (-1/3 sin(1/5 - 12 t) - 1/14 sin(11/10 - 11 t) + 1055/8 sin(t + 22/5) + 58/3 sin(2 t + 33/8) + 46/3 sin(3 t + 15/4) + 10/3 sin(4 t + 2/3) + 18/7 sin(5 t + 16/5) + 11/5 sin(6 t + 11/5) + 1/2 sin(7 t + 11/5) + 5/6 sin(8 t + 6/5) + 1/2 sin(9 t + 31/7) + 2/3 sin(10 t + 10/7) - 405/2) θ(91 π - t) θ(t - 87 π) + (-5/4 sin(3/5 - 11 t) - 4/3 sin(1 - 9 t) - 13/5 sin(5/6 - 7 t) - 7/2 sin(8/5 - 5 t) + 325/2 sin(t + 25/13) + 55/6 sin(2 t + 9/4) + 26/5 sin(3 t + 13/5) + 17/5 sin(4 t + 5/2) + 8/5 sin(6 t + 5/4) + 8/3 sin(8 t + 9/4) + 5/3 sin(10 t + 20/7) + 10/9 sin(12 t + 13/4) + 662/3) θ(87 π - t) θ(t - 83 π) + (-2/3 sin(2/5 - 11 t) - 9/5 sin(3/4 - 8 t) - 7/3 sin(3/5 - 5 t) - 139/6 sin(1 - 2 t) - 171/2 sin(3/2 - t) + 38/3 sin(3 t + 4) + 10 sin(4 t + 3/2) + 34/7 sin(6 t + 23/6) + 14/5 sin(7 t + 5/3) + 8/9 sin(9 t + 8/3) + sin(10 t + 10/7) + 1/9 sin(12 t + 5/2) - 972/5) θ(83 π - t) θ(t - 79 π) + (-3/2 sin(4/5 - 9 t) - 3/2 sin(3/2 - 7 t) + 92 sin(t + 23/11) + 135/4 sin(2 t + 17/6) + 16 sin(3 t + 1/4) + 52/7 sin(4 t + 9/2) + 56/11 sin(5 t + 5/3) + 4 sin(6 t + 3/5) + 5/6 sin(8 t + 2) + 6/7 sin(10 t + 2) + 8/7 sin(11 t + 3/5) + 1/2 sin(12 t + 21/10) + 863/5) θ(79 π - t) θ(t - 75 π) + (-2/3 sin(3/4 - 8 t) - 11/5 sin(1 - 4 t) + 43/7 sin(3 t) + 21 sin(t + 12/5) + 87/5 sin(2 t + 31/7) + 18/5 sin(5 t + 4/3) + 6/5 sin(6 t + 22/5) + 2/5 sin(7 t + 11/6) + 3/4 sin(9 t + 8/7) + 1/3 sin(10 t + 5/2) + 1/3 sin(11 t + 11/5) + 2/5 sin(12 t + 39/10) + 1644/7) θ(75 π - t) θ(t - 71 π) + (31/2 sin(t + 14/5) + 114/5 sin(2 t + 14/3) + 76/7 sin(3 t + 1/2) + 16/15 sin(4 t + 33/7) + 17/5 sin(5 t + 25/12) + 49/24 sin(6 t + 14/3) + 9/7 sin(7 t + 5/4) + 1/3 sin(8 t + 9/4) + 3/4 sin(9 t + 11/4) + 3/4 sin(10 t + 17/4) + 3/5 sin(11 t + 1/4) + 1/4 sin(12 t + 18/5) + 358/5) θ(71 π - t) θ(t - 67 π) + (-4/7 sin(1/3 - 11 t) - sin(1/5 - 7 t) - 31/4 sin(1/4 - 3 t) + 57/2 sin(t + 5/2) + 116/9 sin(2 t + 14/3) + 5/6 sin(4 t + 24/23) + 7/3 sin(5 t + 6/5) + 19/9 sin(6 t + 23/7) + 3/5 sin(8 t + 7/2) + 19/18 sin(9 t + 1/2) + 13/12 sin(10 t + 13/4) + 2/3 sin(12 t + 19/5) - 337/4) θ(67 π - t) θ(t - 63 π) + (-1/3 sin(13/12 - 9 t) - 88/7 sin(7/6 - 2 t) + 58/5 sin(t + 11/6) + 58/5 sin(3 t + 4/7) + 11/4 sin(4 t + 5/2) + 3 sin(5 t + 8/5) + 11/6 sin(6 t + 31/7) + 7/6 sin(7 t + 7/5) + 18/17 sin(8 t + 7/2) + 3/4 sin(10 t + 14/3) + 2/3 sin(11 t + 1/2) + 2/5 sin(12 t + 13/4) - 1838/7) θ(63 π - t) θ(t - 59 π) + (-28/3 sin(2/3 - 2 t) + 35/3 sin(t + 17/7) + 42/5 sin(3 t + 1/3) + 5/3 sin(4 t + 5/3) + 8/3 sin(5 t + 11/10) + 8/7 sin(6 t + 11/3) + 4/3 sin(7 t + 2/5) + 3/4 sin(8 t + 13/4) + 4/7 sin(9 t + 1/4) + 4/5 sin(10 t + 81/20) + 3/4 sin(11 t + 1/4) + 2/5 sin(12 t + 35/9) - 2369/6) θ(59 π - t) θ(t - 55 π) + (-2/5 sin(4/7 - 9 t) - 8 sin(1/7 - 5 t) + 773/2 sin(t + 4/3) + 173/6 sin(2 t + 7/3) + 254/11 sin(3 t + 2/3) + 100/9 sin(4 t + 29/14) + 4 sin(6 t + 3) + 9/5 sin(7 t + 1/5) + 3/2 sin(8 t + 35/9) + 9/4 sin(10 t + 15/4) + 5/4 sin(11 t + 17/7) + 9/5 sin(12 t + 5/3) - 242/3) θ(55 π - t) θ(t - 51 π) + (-48/7 sin(1/4 - 11 t) + 479/4 sin(t + 2/5) + 354/7 sin(2 t + 9/4) + 47 sin(3 t + 2/3) + 352/13 sin(4 t + 19/6) + 71/4 sin(5 t + 8/9) + 8/7 sin(6 t + 1/6) + 25/6 sin(7 t + 3/5) + 23/6 sin(8 t + 2/3) + 77/13 sin(9 t + 1/4) + 13/3 sin(10 t + 13/4) + 35/9 sin(12 t + 19/7) - 5881/8) θ(51 π - t) θ(t - 47 π) + (-14/3 sin(1/10 - 4 t) - 22/5 sin(3/5 - 2 t) + 27/5 sin(6 t) + 794/5 sin(t + 3/5) + 77/4 sin(3 t + 13/3) + 5 sin(5 t + 14/5) - 4393/6) θ(47 π - t) θ(t - 43 π) + (21/11 sin(5 t) + 501/7 sin(t + 1/2) + 2 sin(2 t + 11/3) + 107/12 sin(3 t + 16/5) + 6/5 sin(4 t + 5/4) - 5429/7) θ(43 π - t) θ(t - 39 π) + (104/7 sin(2 t) + 153/2 sin(t + 1/5) + 15/2 sin(3 t + 10/3) + 29/4 sin(4 t + 1/3) - 409/10) θ(39 π - t) θ(t - 35 π) + (-13/4 sin(1/6 - 12 t) - 61/10 sin(1/11 - 10 t) - 41/4 sin(1/4 - 6 t) + 391/2 sin(t + 22/21) + 181/5 sin(2 t + 10/11) + 63/8 sin(3 t + 25/6) + 61/4 sin(4 t + 1/3) + 59/6 sin(5 t + 19/6) + 17/2 sin(7 t + 46/15) + 42/5 sin(8 t + 1/2) + 21/4 sin(9 t + 16/5) + 18/5 sin(11 t + 19/6) - 389/6) θ(35 π - t) θ(t - 31 π) + (-17/7 sin(7/5 - 11 t) - 9/5 sin(5/6 - 10 t) - 12/11 sin(7/5 - 9 t) - 19/4 sin(2/5 - 7 t) - 881/6 sin(3/5 - t) + 46/5 sin(4 t) + 15/2 sin(2 t + 9/7) + 167/7 sin(3 t + 19/9) + 25/2 sin(5 t + 4) + 19/3 sin(6 t + 4/7) + 26/9 sin(8 t + 6/7) + 3/4 sin(12 t + 1/4) - 1040/3) θ(31 π - t) θ(t - 27 π) + (-8/5 sin(3/2 - 12 t) - 12 sin(6/5 - 5 t) + 2185/12 sin(t + 7/2) + 85/14 sin(2 t + 3/5) + 174/7 sin(3 t + 12/11) + 14/5 sin(4 t + 23/6) + 6/5 sin(6 t + 1) + 7/5 sin(7 t + 2/3) + 13/4 sin(8 t + 18/5) + 13/6 sin(9 t + 6/5) + 8/3 sin(10 t + 37/12) + 2 sin(11 t + 17/4) + 1993/8) θ(27 π - t) θ(t - 23 π) + (-25/6 sin(10/7 - 7 t) - 304/3 sin(13/12 - 2 t) + 1511/6 sin(t + 10/3) + 145/3 sin(3 t + 97/24) + 139/4 sin(4 t + 25/8) + 40/3 sin(5 t + 3/2) + 66/7 sin(6 t + 10/7) + 37/12 sin(8 t + 13/3) + 22/5 sin(9 t + 7/3) + 27/5 sin(10 t + 8/3) + 29/5 sin(11 t + 1/3) + 8/5 sin(12 t + 3/5) + 2128/3) θ(23 π - t) θ(t - 19 π) + (-9/5 sin(1/2 - 11 t) - 6/5 sin(3/5 - 10 t) - 4 sin(1/4 - 7 t) - 49/10 sin(6/7 - 6 t) + 902/5 sin(t + 47/12) + 155/4 sin(2 t + 4) + 19 sin(3 t + 29/7) + 28/3 sin(4 t + 11/3) + 94/5 sin(5 t + 7/4) + 47/8 sin(8 t + 29/10) + 37/9 sin(9 t + 6/7) + 12/11 sin(12 t + 17/4) + 370) θ(19 π - t) θ(t - 15 π) + (-20/7 sin(1/2 - 11 t) - 113/4 sin(7/5 - 3 t) + 1469/5 sin(t + 33/7) + 133/4 sin(2 t + 1/2) + 35/6 sin(4 t + 9/7) + 24/5 sin(5 t + 15/4) + 19/4 sin(6 t + 11/7) + 1/3 sin(7 t + 1) + 11/5 sin(8 t + 13/4) + 29/10 sin(9 t + 16/7) + 13/4 sin(10 t + 5/3) + 17/9 sin(12 t + 85/21) - 2229/4) θ(15 π - t) θ(t - 11 π) + (-198/7 sin(2/3 - 5 t) - 37 sin(1/16 - 2 t) + 1155/4 sin(t + 13/3) + 211/5 sin(3 t + 31/8) + 31 sin(4 t + 3/5) + 289/5 sin(6 t + 30/7) + 387/7 sin(7 t + 9/5) + 109/4 sin(8 t + 9/4) + 52/5 sin(9 t + 12/7) + 16/3 sin(10 t + 11/4) + 62/5 sin(11 t + 15/8) + 32/3 sin(12 t + 13/6) + 205/12 sin(13 t + 18/5) + 78/7 sin(14 t + 9/7) + 9/5 sin(15 t + 4/7) + 13/2 sin(16 t + 1/4) + 16/3 sin(17 t + 4) + 23/6 sin(18 t + 7/4) - 4457/8) θ(11 π - t) θ(t - 7 π) + (-4/3 sin(10/7 - 24 t) - 19/5 sin(1/5 - 10 t) - 30 sin(1/7 - 6 t) + 11/5 sin(20 t) + 911/5 sin(t + 1/2) + 248/3 sin(2 t + 47/12) + 427/5 sin(3 t + 4/5) + 105/2 sin(4 t + 11/3) + 76/3 sin(5 t + 61/15) + 37/2 sin(7 t + 11/3) + 106/3 sin(8 t + 3) + 246/13 sin(9 t + 9/4) + 39/5 sin(11 t + 32/7) + 58/5 sin(12 t + 37/9) + 52/5 sin(13 t + 31/8) + 16/3 sin(14 t + 31/7) + 3/5 sin(15 t + 22/5) + 8/3 sin(16 t + 7/3) + 121/20 sin(17 t + 11/4) + 13/4 sin(18 t + 2) + 11/4 sin(19 t + 7/5) + 8/9 sin(21 t + 7/4) + 3/2 sin(22 t + 17/6) + 2 sin(23 t + 52/17) + 5/4 sin(25 t + 23/5) + 604) θ(7 π - t) θ(t - 3 π) + (-1/4 sin(1/9 - 8 t) - 7/3 sin(3/5 - 7 t) - 9/10 sin(1/5 - 6 t) - 32/5 sin(4/5 - 5 t) - 4/7 sin(5/6 - 4 t) - 116/5 sin(7/6 - 3 t) - 1951/8 sin(10/7 - t) + 7/4 sin(2 t + 17/4) + 2591/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-2 sin(8/5 - 10 t) - 55/7 sin(8/5 - 6 t) - 101/20 sin(8/5 - 5 t) - 497/6 sin(8/5 - 2 t) + 51/2 sin(t + 33/7) + 8/3 sin(3 t + 8/5) + 1/8 sin(4 t + 11/7) + 13/5 sin(7 t + 8/5) + 3/4 sin(8 t + 33/7) + 7/3 sin(9 t + 33/7) + 10/7 sin(11 t + 8/5) + 9/10 sin(12 t + 14/3) + 729/4) θ(163 π - t) θ(t - 159 π) + (-98/3 sin(8/5 - t) + 167/6 sin(2 t + 33/7) + 59/3 sin(3 t + 8/5) + 53/5 sin(4 t + 33/7) + 5 sin(5 t + 33/7) + 7/3 sin(6 t + 14/3) + 25/6 sin(7 t + 33/7) + 34/7 sin(8 t + 33/7) + 4/7 sin(9 t + 5/3) + 12/5 sin(10 t + 33/7) + 1/3 sin(11 t + 14/3) + 1/2 sin(12 t + 8/5) - 152/3) θ(159 π - t) θ(t - 155 π) + (-79/4 sin(8/5 - 3 t) + 359/8 sin(t + 8/5) + 241/4 sin(2 t + 8/5) + 9/5 sin(4 t + 8/5) + 17/7 sin(5 t + 14/3) + 9/5 sin(6 t + 14/3) + 21/4 sin(7 t + 33/7) + 3/4 sin(8 t + 14/3) + 26/9 sin(9 t + 14/3) + 3/5 sin(10 t + 14/3) + 7/3 sin(11 t + 14/3) + 2/3 sin(12 t + 14/3) + 1398/11) θ(155 π - t) θ(t - 151 π) + (-7/5 sin(3/2 - 11 t) - 7/4 sin(11/7 - 10 t) - 11/6 sin(11/7 - 9 t) - 1/9 sin(5/4 - 8 t) - 29/4 sin(11/7 - 7 t) - 17/5 sin(11/7 - 6 t) - 16/3 sin(11/7 - 4 t) - 67/3 sin(8/5 - 3 t) + 123/4 sin(t + 8/5) + 111/2 sin(2 t + 8/5) + 6/5 sin(5 t + 14/3) + 1/4 sin(12 t + 3/2) + 763/3) θ(151 π - t) θ(t - 147 π) + (-2 sin(3/2 - 12 t) - 90/13 sin(11/7 - 11 t) - 44/5 sin(11/7 - 6 t) - 51/2 sin(11/7 - 5 t) - 11/2 sin(3/2 - 4 t) - 919/10 sin(8/5 - 3 t) - 141/4 sin(11/7 - 2 t) + 413/4 sin(t + 8/5) + 38/7 sin(7 t + 8/5) + 4/3 sin(8 t + 5/3) + 17/8 sin(9 t + 14/3) + 2/3 sin(10 t + 3/2) - 597/2) θ(147 π - t) θ(t - 143 π) + (-5 sin(11/7 - 12 t) - 1/4 sin(4/3 - 10 t) - 137/5 sin(8/5 - 8 t) - 27/4 sin(8/5 - 7 t) - 476/5 sin(8/5 - t) + 770/3 sin(2 t + 8/5) + 246/5 sin(3 t + 8/5) + 210/19 sin(4 t + 8/5) + 128/5 sin(5 t + 8/5) + 99/4 sin(6 t + 8/5) + 81/7 sin(9 t + 8/5) + 41/3 sin(11 t + 8/5) - 1721/3) θ(143 π - t) θ(t - 139 π) + (-25/6 sin(11/7 - 12 t) - 29/3 sin(11/7 - 7 t) - 16/3 sin(11/7 - 5 t) + 1870/21 sin(t + 8/5) + 2053/12 sin(2 t + 8/5) + 105/4 sin(3 t + 8/5) + 491/4 sin(4 t + 8/5) + 5/4 sin(6 t + 7/4) + 132/5 sin(8 t + 8/5) + 8/5 sin(9 t + 14/3) + 136/9 sin(10 t + 8/5) + 23/5 sin(11 t + 33/7) - 2767/7) θ(139 π - t) θ(t - 135 π) + (-13/7 sin(10/7 - 25 t) - 47/5 sin(3/2 - 24 t) - 79/13 sin(3/2 - 23 t) - 7 sin(11/7 - 19 t) - 43/3 sin(3/2 - 15 t) - 495/13 sin(11/7 - 14 t) - 27/5 sin(11/7 - 12 t) - 547/13 sin(11/7 - 11 t) - 144/11 sin(11/7 - 6 t) - 289/5 sin(8/5 - 5 t) + 1029/4 sin(t + 8/5) + 2477/6 sin(2 t + 8/5) + 217/4 sin(3 t + 33/7) + 629/10 sin(4 t + 8/5) + 94/5 sin(7 t + 33/7) + 311/4 sin(8 t + 8/5) + 145/6 sin(9 t + 33/7) + 291/7 sin(10 t + 8/5) + 19/3 sin(13 t + 3/2) + 59/6 sin(16 t + 8/5) + 9 sin(17 t + 8/5) + 7/5 sin(18 t + 14/3) + 73/4 sin(20 t + 8/5) + 16/3 sin(21 t + 14/3) + 21/5 sin(22 t + 11/7) - 6171/5) θ(135 π - t) θ(t - 131 π) + (-3/7 sin(8/5 - 12 t) - 30/7 sin(11/7 - 11 t) - 19/2 sin(8/5 - 5 t) - 638/13 sin(8/5 - 3 t) + 2161/24 sin(t + 8/5) + 329/3 sin(2 t + 8/5) + 19/4 sin(4 t + 11/7) + 57/8 sin(6 t + 8/5) + 2/7 sin(7 t + 23/5) + 5/2 sin(8 t + 8/5) + 1/2 sin(9 t + 14/3) + 5/3 sin(10 t + 8/5) - 2161/3) θ(131 π - t) θ(t - 127 π) + (-48/5 sin(11/7 - 4 t) - 67/4 sin(8/5 - t) + 895/7 sin(2 t + 8/5) + 21/2 sin(3 t + 8/5) + 7/6 sin(5 t + 23/5) + 191/12 sin(6 t + 8/5) + 4/5 sin(7 t + 8/5) + 1/17 sin(8 t + 1) + 7/2 sin(9 t + 8/5) + 22/5 sin(10 t + 8/5) + 3/5 sin(11 t + 8/5) + 2 sin(12 t + 8/5) - 1007/2) θ(127 π - t) θ(t - 123 π) + (-5/2 sin(8/5 - 12 t) - 23/6 sin(11/7 - 8 t) - 18 sin(8/5 - 6 t) - 155/3 sin(8/5 - t) + 44 sin(2 t + 8/5) + 55/2 sin(3 t + 8/5) + 49 sin(4 t + 8/5) + 5/2 sin(5 t + 11/7) + 81/8 sin(7 t + 8/5) + 1/3 sin(9 t + 4/3) + 10/11 sin(10 t + 3/2) + 32/5 sin(11 t + 8/5) + 1077/7) θ(123 π - t) θ(t - 119 π) + (-36/5 sin(11/7 - 9 t) - 71/4 sin(8/5 - 5 t) + 3 sin(t + 14/3) + 1364/13 sin(2 t + 8/5) + 56/3 sin(3 t + 8/5) + 85/4 sin(4 t + 8/5) + 7/2 sin(6 t + 8/5) + 19/2 sin(7 t + 8/5) + 7 sin(8 t + 8/5) + 37/12 sin(10 t + 8/5) + 39/19 sin(11 t + 8/5) + 3/5 sin(12 t + 8/5) - 17/4) θ(119 π - t) θ(t - 115 π) + (-220/13 sin(8/5 - 12 t) - 87/8 sin(11/7 - 11 t) - 32/7 sin(8/5 - 8 t) - 255/7 sin(8/5 - t) + 253/4 sin(2 t + 8/5) + 44 sin(3 t + 8/5) + 47/6 sin(4 t + 8/5) + 49/4 sin(5 t + 8/5) + 25/12 sin(6 t + 8/5) + 89/22 sin(7 t + 8/5) + 9/2 sin(10 t + 8/5) + 267) θ(115 π - t) θ(t - 111 π) + (-2/7 sin(3/2 - 11 t) - 13/5 sin(11/7 - 10 t) - 143/8 sin(8/5 - 6 t) - 236/3 sin(8/5 - 2 t) - 64 sin(8/5 - t) + 337/12 sin(3 t + 8/5) + 34/5 sin(4 t + 8/5) + 6 sin(5 t + 8/5) + 5 sin(7 t + 33/7) + 53/6 sin(8 t + 33/7) + 31/6 sin(9 t + 8/5) + 16/5 sin(12 t + 8/5) + 4769/10) θ(111 π - t) θ(t - 107 π) + (-4/5 sin(11/7 - 21 t) - 7/4 sin(3/2 - 18 t) - 1/13 sin(3/2 - 17 t) - 52/3 sin(8/5 - 13 t) - 29/7 sin(11/7 - 12 t) - 337/16 sin(8/5 - 7 t) - 163/4 sin(8/5 - 3 t) - 13/3 sin(11/7 - 2 t) + 195/4 sin(t + 8/5) + 14 sin(4 t + 8/5) + 9/8 sin(5 t + 5/3) + 92/7 sin(6 t + 8/5) + 169/12 sin(8 t + 8/5) + 82/5 sin(9 t + 8/5) + 8/5 sin(10 t + 8/5) + 23/5 sin(11 t + 8/5) + 3/4 sin(14 t + 14/3) + 13/5 sin(15 t + 14/3) + 2/5 sin(16 t + 5/3) + 5/3 sin(19 t + 14/3) + 1/2 sin(20 t + 14/3) + 5/6 sin(22 t + 8/5) + 1949/4) θ(107 π - t) θ(t - 103 π) + (-13/3 sin(8/5 - 13 t) - 31/4 sin(8/5 - 6 t) + 443/3 sin(t + 33/7) + 74 sin(2 t + 33/7) + 254/5 sin(3 t + 8/5) + 341/2 sin(4 t + 33/7) + 92/7 sin(5 t + 8/5) + 66/5 sin(7 t + 8/5) + 649/24 sin(8 t + 33/7) + 21 sin(9 t + 14/3) + 15/7 sin(10 t + 8/5) + 209/10 sin(11 t + 8/5) + 11/4 sin(12 t + 3/2) + 9/10 sin(14 t + 14/3) + 35/4 sin(15 t + 8/5) + 7/2 sin(16 t + 11/7) + 129/13 sin(17 t + 11/7) + 4/5 sin(18 t + 7/5) + 7/3 sin(19 t + 8/5) + 11/2 sin(20 t + 14/3) + 1611/4) θ(103 π - t) θ(t - 99 π) + (-1/3 sin(1/3 - 11 t) - 4/5 sin(10/11 - 10 t) - 10/7 sin(2/5 - 9 t) - 19/4 sin(3/2 - 5 t) + 1326/7 sin(t + 7/2) + 53/5 sin(2 t + 16/5) + 451/25 sin(3 t + 6/7) + 23/5 sin(4 t + 1) + 15/4 sin(6 t + 13/3) + 10/7 sin(7 t + 3/2) + 13/5 sin(8 t + 9/4) + 5/4 sin(12 t + 41/14) + 484/3) θ(99 π - t) θ(t - 95 π) + (-15/14 sin(2/3 - 11 t) - 11/10 sin(2/7 - 9 t) - 27/7 sin(7/8 - 5 t) + 823/5 sin(t + 11/3) + 175/11 sin(2 t + 3) + 59/3 sin(3 t + 1/2) + 44/5 sin(4 t + 18/17) + 13/6 sin(6 t + 19/5) + 11/3 sin(7 t + 1/11) + 19/9 sin(8 t + 12/5) + 4/3 sin(10 t + 23/6) + 3/2 sin(12 t + 5/2) - 371/6) θ(95 π - t) θ(t - 91 π) + (-5/7 sin(5/6 - 11 t) - 4/3 sin(2/7 - 9 t) + 2/7 sin(10 t) + 582/5 sin(t + 2) + 75/2 sin(2 t + 4) + 102/5 sin(3 t + 5/2) + 22/5 sin(4 t + 1/8) + 7/3 sin(5 t + 3/4) + 11/5 sin(6 t + 14/3) + 5/4 sin(7 t + 18/7) + 16/15 sin(8 t + 8/7) + 2/3 sin(12 t + 5/2) + 1689/5) θ(91 π - t) θ(t - 87 π) + (-5/4 sin(1/3 - 11 t) - 8/5 sin(2/5 - 9 t) - 193/4 sin(1/3 - 2 t) + 77 sin(t + 7/8) + 62/3 sin(3 t + 7/5) + 6/7 sin(4 t + 9/5) + 4 sin(5 t + 7/2) + 27/13 sin(6 t + 14/3) + 3/5 sin(7 t + 1/5) + 4/5 sin(8 t + 3) + 7/5 sin(10 t + 11/4) + 7/5 sin(12 t + 49/16) + 758/3) θ(87 π - t) θ(t - 83 π) + (-56/11 sin(6/5 - 5 t) + 5/2 sin(11 t) + 263/3 sin(t + 11/4) + 274/7 sin(2 t + 15/4) + 26/9 sin(3 t + 10/7) + 28/5 sin(4 t + 1/8) + 31/4 sin(6 t + 8/3) + 16/3 sin(7 t + 1/7) + 15/4 sin(8 t + 10/3) + 11/4 sin(9 t + 1/5) + 17/6 sin(10 t + 19/6) + 7/4 sin(12 t + 16/5) + 847/4) θ(83 π - t) θ(t - 79 π) + (-10/9 sin(2/3 - 9 t) - 13/3 sin(1/3 - 7 t) - 27/5 sin(2/5 - 4 t) + 341/5 sin(t + 7/2) + 198/5 sin(2 t + 13/3) + 23/3 sin(3 t + 13/5) + 70/23 sin(5 t + 73/18) + 25/4 sin(6 t + 9/4) + 13/4 sin(8 t + 18/5) + 17/6 sin(10 t + 43/14) + 7/3 sin(11 t + 1/2) + sin(12 t + 3) + 1873/13) θ(79 π - t) θ(t - 75 π) + (-1/4 sin(3/2 - 8 t) - 13/14 sin(1/3 - 7 t) - 17/9 sin(9/8 - 4 t) - 52/5 sin(1/7 - 3 t) + 47/3 sin(t + 27/13) + 12 sin(2 t + 7/5) + 18/5 sin(5 t + 5/6) + 7/4 sin(6 t + 1/4) + 2/3 sin(9 t + 2/5) + 1/3 sin(10 t + 1/5) + 2/5 sin(11 t + 23/5) + 2/3 sin(12 t + 52/17) - 953/4) θ(75 π - t) θ(t - 71 π) + (-14/13 sin(5/6 - 11 t) - 1/2 sin(6/5 - 8 t) - 16/17 sin(1/5 - 7 t) - 7/5 sin(1 - 4 t) + 71/7 sin(t + 7/4) + 65/3 sin(2 t + 7/5) + 73/6 sin(3 t + 1/4) + 19/6 sin(5 t + 3/2) + 37/18 sin(6 t + 2/3) + 1/5 sin(9 t + 22/5) + 4/7 sin(10 t + 1/3) + 1/2 sin(12 t + 73/18) - 763/3) θ(71 π - t) θ(t - 67 π) + (-1/5 sin(1/18 - 12 t) - 3/7 sin(6/7 - 11 t) - 4/5 sin(4/7 - 9 t) - sin(3/4 - 7 t) - 81/10 sin(1/7 - 3 t) + 82/7 sin(t + 12/5) + 21 sin(2 t + 1) + 34/11 sin(4 t + 9/5) + 5/2 sin(5 t + 2/3) + 6/5 sin(6 t + 1/13) + 3/4 sin(8 t + 17/8) + 6/7 sin(10 t + 31/7) - 1855/8) θ(67 π - t) θ(t - 63 π) + (-2/3 sin(11/7 - 7 t) - 32/7 sin(1/3 - 3 t) + 82/5 sin(t + 37/18) + 183/8 sin(2 t + 4/3) + 9/7 sin(4 t + 19/9) + 13/5 sin(5 t + 6/5) + 3/2 sin(6 t + 3/5) + 1/2 sin(8 t + 2/3) + 22/21 sin(9 t + 1/3) + 1/2 sin(10 t + 1/7) + 1/4 sin(11 t + 32/7) + 3/5 sin(12 t + 2/3) - 1103/6) θ(63 π - t) θ(t - 59 π) + (-2/3 sin(1/4 - 12 t) - 1/4 sin(1/4 - 10 t) - 6/7 sin(2/7 - 9 t) + 43/4 sin(t + 17/8) + 77/3 sin(2 t + 7/6) + 11/4 sin(3 t + 9/2) + 7/8 sin(4 t + 1) + 7/3 sin(5 t + 7/8) + 5/4 sin(6 t + 3/5) + 7/5 sin(7 t + 93/23) + 4/5 sin(8 t + 1/5) + 2/5 sin(11 t + 11/3) - 489/4) θ(59 π - t) θ(t - 55 π) + (-10/7 sin(4/5 - 10 t) - 7/3 sin(7/5 - 8 t) - 24/7 sin(1/2 - 7 t) - 74/5 sin(11/12 - 5 t) - 171/5 sin(3/4 - 3 t) - 469/3 sin(2/3 - t) + 64 sin(2 t + 6/5) + 88/5 sin(4 t + 1/2) + 14/5 sin(6 t + 1) + 5/2 sin(9 t + 31/10) + 22/5 sin(11 t + 24/7) + 16/3 sin(12 t + 5/4) - 837/4) θ(55 π - t) θ(t - 51 π) + (-3/4 sin(3/2 - 10 t) - 22/3 sin(3/7 - 7 t) - 274 sin(6/7 - t) + 26/3 sin(2 t + 13/5) + 37/3 sin(3 t + 6/5) + 35/3 sin(4 t + 21/10) + 67/7 sin(5 t + 65/16) + 27/5 sin(6 t + 58/19) + 8/3 sin(8 t + 13/3) + 25/8 sin(9 t + 4/5) + 3/2 sin(11 t + 31/7) + 8/5 sin(12 t + 3) + 315/4) θ(51 π - t) θ(t - 47 π) + (-200/3 sin(2/3 - t) + 39/5 sin(2 t + 10/11) + 154/9 sin(3 t + 13/5) + 39/5 sin(4 t + 11/4) + 31/3 sin(5 t + 5/3) + 22/5 sin(6 t + 5/2) + 1130/3) θ(47 π - t) θ(t - 43 π) + (-337/4 sin(3/5 - t) + 19/9 sin(2 t + 1/2) + 16/5 sin(3 t + 11/6) + 4/3 sin(4 t + 3) + 10/7 sin(5 t + 1/9) - 2147/4) θ(43 π - t) θ(t - 39 π) + (-41/4 sin(4/3 - 2 t) - 254/3 sin(10/7 - t) + 26/7 sin(3 t + 8/5) + 7/4 sin(4 t + 18/5) - 7301/10) θ(39 π - t) θ(t - 35 π) + (-13/3 sin(3/5 - 10 t) - 13/2 sin(2/3 - 8 t) - 127/18 sin(3/5 - 4 t) - 223/6 sin(1/6 - 2 t) - 718/5 sin(3/4 - t) + 111/11 sin(3 t + 24/7) + 16/3 sin(5 t + 22/7) + 34/3 sin(6 t + 25/6) + 19/3 sin(7 t + 8/5) + 3 sin(9 t + 5/2) + 7/4 sin(11 t + 39/10) + 11/5 sin(12 t + 12/7) + 109/5) θ(35 π - t) θ(t - 31 π) + (-35/6 sin(7/5 - 12 t) - 11/2 sin(1/2 - 10 t) - 16/3 sin(7/5 - 9 t) - 8 sin(10/9 - 7 t) - 311/13 sin(1/4 - 4 t) - 68/3 sin(1 - 3 t) + 383/3 sin(t + 16/5) + 16/3 sin(2 t + 9/4) + 50/7 sin(5 t + 24/7) + 27/5 sin(6 t + 3/2) + 55/8 sin(8 t + 1/3) + 14/5 sin(11 t + 14/5) + 41) θ(31 π - t) θ(t - 27 π) + (-1/4 sin(1/5 - 12 t) + 224/3 sin(t + 5/2) + 51/4 sin(2 t + 7/8) + 81/4 sin(3 t + 4/3) + 46/7 sin(4 t + 49/16) + 7 sin(5 t + 11/3) + 60/7 sin(6 t + 3/2) + 49/5 sin(7 t + 2/3) + 8/5 sin(8 t + 5/2) + 11/3 sin(9 t + 13/7) + 81/20 sin(10 t + 3) + 11/3 sin(11 t + 31/10) - 613/7) θ(27 π - t) θ(t - 23 π) + (-163/7 sin(10/9 - 3 t) - 2131/10 sin(6/5 - t) + 409/4 sin(2 t + 2/5) + 227/7 sin(4 t + 3) + 11/2 sin(5 t + 2) + 55/8 sin(6 t + 32/7) + 8 sin(7 t + 18/5) + 27/5 sin(8 t + 9/8) + 31/6 sin(9 t + 1/2) + 9/4 sin(10 t + 9/2) + 18/5 sin(11 t + 2) + 3/5 sin(12 t + 7/4) - 2966/5) θ(23 π - t) θ(t - 19 π) + (-34/5 sin(1/2 - 8 t) - 731/4 sin(7/5 - t) + 71 sin(2 t + 3/7) + 115/7 sin(3 t + 14/3) + 25/3 sin(4 t + 1/5) + 137/8 sin(5 t + 51/13) + 28/3 sin(6 t + 5/2) + 17/3 sin(7 t + 5/4) + 8/3 sin(9 t + 4) + 4/3 sin(10 t + 2/5) + 1/2 sin(11 t + 4) + 1/3 sin(12 t + 3/2) - 6677/4) θ(19 π - t) θ(t - 15 π) + (-40/13 sin(4/5 - 9 t) - 153/8 sin(1 - 5 t) + 859/6 sin(t + 2/5) + 621/20 sin(2 t + 3/5) + 104/3 sin(3 t + 1/2) + 47/5 sin(4 t + 1) + 11/2 sin(6 t + 19/5) + 14/3 sin(7 t + 14/5) + 12/5 sin(8 t + 5/3) + 8/7 sin(10 t + 17/8) + 13/4 sin(11 t + 25/7) + 18/17 sin(12 t + 3/2) - 13913/8) θ(15 π - t) θ(t - 11 π) + (-36/5 sin(1/2 - 14 t) - 83/5 sin(13/12 - 12 t) + 751/3 sin(t + 3) + 332/9 sin(2 t + 3) + 85/3 sin(3 t + 11/5) + 155/4 sin(4 t + 9/2) + 209/3 sin(5 t + 3) + 583/8 sin(6 t + 31/7) + 82/3 sin(7 t + 3/5) + 247/6 sin(8 t + 5/6) + 3 sin(9 t + 1/3) + 145/8 sin(10 t + 5/6) + 19/4 sin(11 t + 7/8) + 2 sin(13 t + 1/5) + 20/3 sin(15 t + 4) + 15/4 sin(16 t + 13/7) + 6/5 sin(17 t + 21/5) + 46/15 sin(18 t + 3) + 5205/7) θ(11 π - t) θ(t - 7 π) + (-4/5 sin(3/2 - 24 t) - 18 sin(1 - 7 t) - 671/16 sin(6/7 - 6 t) - 466/5 sin(1 - t) + 359/4 sin(2 t + 8/3) + 2901/25 sin(3 t + 14/3) + 146/3 sin(4 t + 13/5) + 58/3 sin(5 t + 11/3) + 44/3 sin(8 t + 3/2) + 8 sin(9 t + 17/4) + 49/5 sin(10 t + 18/5) + 13/3 sin(11 t + 11/4) + 11/4 sin(12 t + 17/6) + 71/10 sin(13 t + 32/7) + 23/5 sin(14 t + 31/7) + 73/24 sin(15 t + 13/4) + 14/3 sin(16 t + 3/2) + 27/7 sin(17 t + 1/2) + 17/4 sin(18 t + 3/5) + 18/5 sin(19 t + 4/7) + 16/5 sin(20 t + 6/5) + 23/12 sin(21 t + 16/5) + 19/5 sin(22 t + 13/3) + 15/4 sin(23 t + 33/7) + 3/5 sin(25 t + 101/25) - 7905/7) θ(7 π - t) θ(t - 3 π) + (-21/5 sin(1 - 7 t) + 534/5 sin(t + 17/7) + 11/2 sin(2 t + 26/9) + 109/6 sin(3 t + 17/5) + 17/5 sin(4 t + 18/7) + 20/3 sin(5 t + 22/5) + 7/4 sin(6 t + 11/4) + 12/5 sin(8 t + 10/3) - 7766/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-3/10 sin(17/11 - 10 t) - 54/17 sin(59/38 - 9 t) - 241/34 sin(36/23 - 8 t) - 858/73 sin(36/23 - 5 t) - 487/35 sin(36/23 - 4 t) - 542/27 sin(11/7 - 2 t) + 181/22 sin(t + 91/58) + 41/30 sin(3 t + 25/16) + 20/21 sin(6 t + 27/17) + 149/30 sin(7 t + 49/31) + 26/29 sin(11 t + 61/13) + 1/5 sin(12 t + 177/38) + 1133/15) θ(87 π - t) θ(t - 83 π) + (-1/120 sin(4/17 - 26 t) - 6/19 sin(92/61 - 25 t) - 4/31 sin(35/29 - 24 t) - 9/46 sin(25/16 - 23 t) - 7/8 sin(49/32 - 17 t) - 17/15 sin(58/39 - 16 t) - 92/123 sin(61/39 - 13 t) - 2049/40 sin(47/30 - 3 t) - 495/26 sin(39/25 - 2 t) + 472/39 sin(t + 47/30) + 982/25 sin(4 t + 41/26) + 341/57 sin(5 t + 45/28) + 189/20 sin(6 t + 19/12) + 81/58 sin(7 t + 39/25) + 55/21 sin(8 t + 52/33) + 229/39 sin(9 t + 67/42) + 205/33 sin(10 t + 59/37) + 23/28 sin(11 t + 47/10) + 9/7 sin(12 t + 48/31) + 57/26 sin(14 t + 67/42) + 13/37 sin(15 t + 167/36) + 27/28 sin(18 t + 8/5) + 23/19 sin(19 t + 64/39) + 70/33 sin(20 t + 21/13) + 3/23 sin(21 t + 62/37) + 29/57 sin(22 t + 49/31) + 1/35 sin(27 t + 218/51) + 48/55 sin(28 t + 47/29) + 2/25 sin(29 t + 47/28) + 3/43 sin(30 t + 29/20) + 1/25 sin(31 t + 137/31) + 963/20) θ(83 π - t) θ(t - 79 π) + (-6/35 sin(69/44 - t) + 4/43 sin(2 t + 193/41) + 19/34 sin(3 t + 96/61) + 1/48 sin(4 t + 35/22) + 2/31 sin(5 t + 30/19) + 1/9 sin(6 t + 49/31) + 1/11 sin(7 t + 49/31) + 1/463 sin(8 t + 214/47) + 1/15 sin(9 t + 49/31) + 1/25 sin(10 t + 35/22) + 1/58 sin(11 t + 35/22) + 1/60 sin(12 t + 65/41) + 997/12) θ(79 π - t) θ(t - 75 π) + (-15/32 sin(38/25 - 12 t) - 30/47 sin(61/41 - 11 t) - sin(87/56 - 7 t) - 294/13 sin(47/30 - 3 t) - 60/23 sin(14/9 - 2 t) + 285/43 sin(t + 47/30) + 256/61 sin(4 t + 73/47) + 52/33 sin(5 t + 179/38) + 29/43 sin(6 t + 69/43) + 19/10 sin(8 t + 58/37) + 2/37 sin(9 t + 142/61) + 1/46 sin(10 t + 81/40) + 17685/217) θ(75 π - t) θ(t - 71 π) + (-64/25 sin(58/37 - 4 t) - 67/40 sin(47/30 - 3 t) + 33/35 sin(t + 11/7) + 11/25 sin(2 t + 52/33) + 10/7 sin(5 t + 74/47) + 1/11 sin(6 t + 14/3) + 13/17 sin(7 t + 85/54) + 35/106 sin(8 t + 146/31) + 17/45 sin(9 t + 30/19) + 7/33 sin(10 t + 27/17) + 2/15 sin(11 t + 43/27) + 2/31 sin(12 t + 108/23) - 4135/149) θ(71 π - t) θ(t - 67 π) + (-11/35 sin(88/61 - 12 t) - 35/29 sin(44/29 - 11 t) - 33/34 sin(48/31 - 8 t) - 31/21 sin(173/115 - 7 t) - 16/15 sin(61/39 - 6 t) - 10/19 sin(24/17 - t) + 98/27 sin(2 t + 247/53) + 565/12 sin(3 t + 27/17) + 37/15 sin(4 t + 37/22) + 6/41 sin(5 t + 28/31) + 55/17 sin(9 t + 31/19) + 23/16 sin(10 t + 57/35) - 687/29) θ(67 π - t) θ(t - 63 π) + (-170/39 sin(47/30 - t) + 881/19 sin(2 t + 11/7) + 191/42 sin(3 t + 74/47) + 1/23 sin(4 t + 98/29) + 51/26 sin(5 t + 103/22) + 257/129 sin(6 t + 19/12) + 34/27 sin(7 t + 46/29) + 40/29 sin(8 t + 46/29) + 34/37 sin(9 t + 108/23) + 8/65 sin(10 t + 43/24) + 38/31 sin(11 t + 35/22) + 37/49 sin(12 t + 29/18) + 3799/41) θ(63 π - t) θ(t - 59 π) + (-70/33 sin(25/16 - 10 t) - 15/44 sin(65/42 - 9 t) - 177/29 sin(11/7 - 6 t) - 23/38 sin(47/30 - 5 t) - 1261/23 sin(11/7 - 2 t) + 20/9 sin(t + 136/29) + 18/19 sin(3 t + 43/27) + 1/37 sin(4 t + 83/32) + 3/11 sin(7 t + 39/25) + 1/34 sin(8 t + 229/51) + 11/25 sin(11 t + 27/17) + 1/34 sin(12 t + 47/28) + 4221/20) θ(59 π - t) θ(t - 55 π) + (731/79 sin(t + 19/12) + 2597/45 sin(2 t + 52/33) + 119/25 sin(3 t + 212/45) + 21/29 sin(4 t + 151/101) + 50/23 sin(5 t + 133/83) + 196/39 sin(6 t + 49/31) + 92/79 sin(7 t + 61/13) + 27/29 sin(8 t + 11/7) + 29/35 sin(9 t + 29/18) + 46/43 sin(10 t + 62/39) + 12/31 sin(11 t + 47/10) + 37/30 sin(12 t + 8/5) - 486/19) θ(55 π - t) θ(t - 51 π) + (-37/38 sin(35/23 - 22 t) - 14/11 sin(36/23 - 19 t) - 47/19 sin(29/19 - 11 t) - 45/17 sin(29/19 - 10 t) - 685/46 sin(54/35 - 8 t) - 727/57 sin(17/11 - 6 t) - 175/4 sin(39/25 - 3 t) - 1228/43 sin(64/41 - 2 t) + 2162/21 sin(t + 96/61) + 184/17 sin(4 t + 47/30) + 241/31 sin(5 t + 45/29) + 209/25 sin(7 t + 73/47) + 62/11 sin(9 t + 59/38) + 11/19 sin(12 t + 80/17) + 10/23 sin(13 t + 77/17) + 55/16 sin(14 t + 41/25) + 212/77 sin(15 t + 167/100) + 81/52 sin(16 t + 67/40) + 63/95 sin(17 t + 50/11) + 25/29 sin(18 t + 49/29) + 17/26 sin(20 t + 83/51) + 2/29 sin(21 t + 107/57) + 61/46 sin(23 t + 50/31) + 23/42 sin(24 t + 75/16) + 2147/33) θ(51 π - t) θ(t - 47 π) + (-13/37 sin(32/21 - 11 t) - 311/47 sin(82/53 - 5 t) - 547/39 sin(25/16 - t) + 6/35 sin(2 t + 50/29) + 271/27 sin(3 t + 59/37) + 79/16 sin(4 t + 51/32) + 61/62 sin(6 t + 29/19) + 149/64 sin(7 t + 50/31) + 7/39 sin(8 t + 235/56) + 77/40 sin(9 t + 60/37) + 5/14 sin(10 t + 38/23) + 11/31 sin(12 t + 37/23) + 16/37 sin(13 t + 102/61) + 13/28 sin(14 t + 26/15) + 20/33 sin(15 t + 67/40) + 3/25 sin(16 t + 146/31) + 5/16 sin(17 t + 31/19) + 11/40 sin(18 t + 65/38) + 3/43 sin(19 t + 53/24) + 281/30) θ(47 π - t) θ(t - 43 π) + (-5/23 sin(37/25 - 38 t) - 15/22 sin(39/25 - 26 t) - 124/53 sin(199/133 - 14 t) - 49/23 sin(20/13 - 9 t) - 479/18 sin(58/37 - 5 t) + 1104/25 sin(t + 47/30) + 402/23 sin(2 t + 36/23) + 907/14 sin(3 t + 212/45) + 1213/20 sin(4 t + 96/61) + 463/17 sin(6 t + 39/25) + 1359/28 sin(7 t + 53/34) + 6412/171 sin(8 t + 53/34) + 652/43 sin(10 t + 202/43) + 35/24 sin(11 t + 147/32) + 265/41 sin(12 t + 53/34) + 196/89 sin(13 t + 61/41) + 62/27 sin(15 t + 53/35) + 100/41 sin(16 t + 52/33) + 34/39 sin(17 t + 169/36) + 3/26 sin(18 t + 199/43) + 37/14 sin(19 t + 54/35) + 85/29 sin(20 t + 23/15) + 152/37 sin(21 t + 43/28) + 29/11 sin(22 t + 43/28) + 39/28 sin(23 t + 53/34) + 24/47 sin(24 t + 83/18) + 69/53 sin(25 t + 164/35) + 58/57 sin(27 t + 80/53) + 7/31 sin(28 t + 24/19) + 2/33 sin(29 t + 41/27) + 9/26 sin(30 t + 93/20) + 3/20 sin(31 t + 97/49) + 7/25 sin(32 t + 169/36) + 10/11 sin(33 t + 49/32) + 13/18 sin(34 t + 67/46) + 11/8 sin(35 t + 67/44) + 19/21 sin(36 t + 61/40) + 5/19 sin(37 t + 35/24) + 1/29 sin(39 t + 99/34) - 116/17) θ(43 π - t) θ(t - 39 π) + (-12/31 sin(49/32 - 24 t) - 27/13 sin(26/17 - 19 t) - 158/159 sin(33/23 - 18 t) - 54/25 sin(37/25 - 17 t) - 73/31 sin(274/183 - 15 t) - 33/5 sin(58/39 - 14 t) - 241/23 sin(38/25 - 13 t) - 58/23 sin(32/21 - 11 t) - 210/41 sin(35/23 - 10 t) - 51/31 sin(85/57 - 9 t) - 46/33 sin(65/42 - 8 t) - 2627/73 sin(14/9 - 5 t) - 1718/39 sin(25/16 - 3 t) - 617/28 sin(14/9 - 2 t) + 244/9 sin(t + 52/33) + 627/26 sin(4 t + 52/33) + 243/26 sin(6 t + 11/7) + 247/30 sin(7 t + 8/5) + 43/24 sin(12 t + 47/31) + 21/43 sin(16 t + 37/27) + 15/13 sin(20 t + 49/31) + 1/7 sin(21 t + 514/147) + 133/40 sin(22 t + 51/31) + 1/8 sin(23 t + 73/29) + 31/37 sin(25 t + 49/29) - 4136/31) θ(39 π - t) θ(t - 35 π) + (-61/46 sin(49/32 - 22 t) - 15/8 sin(55/36 - 18 t) - 353/42 sin(59/38 - 13 t) - 703/10 sin(69/44 - t) + 891/31 sin(2 t + 63/40) + 53/20 sin(3 t + 39/25) + 61/35 sin(4 t + 27/17) + 43/23 sin(5 t + 131/28) + 1/11 sin(6 t + 59/13) + 34/7 sin(7 t + 68/43) + 50/29 sin(8 t + 69/43) + 199/31 sin(9 t + 35/22) + 481/43 sin(10 t + 19/12) + 192/19 sin(11 t + 46/29) + 44/27 sin(12 t + 125/78) + 3/40 sin(14 t + 61/25) + 3/2 sin(15 t + 65/41) + 23/29 sin(16 t + 80/51) + 2/3 sin(17 t + 29/18) + 5/31 sin(19 t + 23/16) + 37/112 sin(20 t + 19/12) + 67/52 sin(21 t + 21/13) + 2/5 sin(23 t + 49/30) + 2/25 sin(24 t + 54/37) + 11/30 sin(25 t + 53/33) + 12976/39) θ(35 π - t) θ(t - 31 π) + (-208/83 sin(43/28 - 15 t) - 33/53 sin(43/28 - 14 t) - 205/19 sin(48/31 - 9 t) - 169/46 sin(14/9 - 8 t) - 80/19 sin(69/44 - 6 t) - 425/49 sin(36/23 - 4 t) - 144/17 sin(47/30 - 2 t) - 439/23 sin(47/30 - t) + 37/13 sin(3 t + 80/51) + 73/27 sin(5 t + 36/23) + 479/44 sin(7 t + 19/12) + 4/9 sin(10 t + 59/37) + 137/26 sin(11 t + 43/27) + 29/28 sin(12 t + 155/33) + 50/27 sin(13 t + 46/29) + 10/23 sin(16 t + 50/31) + 8/7 sin(17 t + 61/38) + 19/66 sin(18 t + 136/29) + 37/39 sin(19 t + 37/23) + 4/25 sin(20 t + 117/25) - 2171/36) θ(31 π - t) θ(t - 27 π) + (-4/33 sin(17/16 - 20 t) - 23/35 sin(25/16 - 16 t) - 355/49 sin(47/30 - 11 t) - 253/25 sin(47/30 - 8 t) - 523/12 sin(69/44 - 4 t) + 641/11 sin(t + 113/24) + 7553/58 sin(2 t + 179/38) + 198/29 sin(3 t + 51/32) + 1119/73 sin(5 t + 52/33) + 33/13 sin(6 t + 61/13) + 115/28 sin(7 t + 174/37) + 191/9 sin(9 t + 47/30) + 433/54 sin(10 t + 47/30) + 107/35 sin(12 t + 47/10) + 157/18 sin(13 t + 11/7) + 43/14 sin(14 t + 14/9) + 24/31 sin(15 t + 67/45) + 172/57 sin(17 t + 19/12) + 14/51 sin(18 t + 45/28) + 81/32 sin(19 t + 14/9) + 9613/33) θ(27 π - t) θ(t - 23 π) + (-1/11 sin(14/9 - 19 t) - 83/43 sin(69/44 - 4 t) - 430/57 sin(102/65 - 3 t) + 91/20 sin(t + 245/52) + 177/31 sin(2 t + 11/7) + 26/61 sin(5 t + 108/23) + 28/29 sin(6 t + 74/47) + 5/7 sin(7 t + 47/30) + 51/31 sin(8 t + 74/47) + 31/27 sin(9 t + 41/26) + 35/52 sin(10 t + 19/12) + 1/110 sin(11 t + 82/23) + 17/52 sin(12 t + 43/27) + 13/41 sin(13 t + 149/93) + 34/57 sin(14 t + 84/53) + 9/38 sin(15 t + 43/27) + 8/47 sin(16 t + 53/33) + 2/11 sin(17 t + 91/57) + 1/9 sin(18 t + 67/42) - 11360/99) θ(23 π - t) θ(t - 19 π) + (-11/38 sin(38/25 - 20 t) - 10/27 sin(31/20 - 19 t) - 19/26 sin(37/24 - 17 t) - 13/12 sin(20/13 - 12 t) - 101/21 sin(17/11 - 10 t) - 85/22 sin(14/9 - 9 t) - 294/71 sin(45/29 - 8 t) - 271/25 sin(81/52 - 7 t) - 290/19 sin(53/34 - 5 t) - 1066/23 sin(36/23 - 2 t) - 101/5 sin(91/58 - t) + 61/10 sin(3 t + 65/41) + 908/25 sin(4 t + 30/19) + 127/22 sin(6 t + 68/43) + 93/20 sin(11 t + 99/62) + 26/27 sin(13 t + 53/33) + 13/66 sin(14 t + 47/31) + 14/33 sin(15 t + 48/29) + 25/19 sin(16 t + 139/87) + 23/19 sin(18 t + 123/77) - 6074/35) θ(19 π - t) θ(t - 15 π) + (-10/27 sin(43/29 - 14 t) + 285/32 sin(t + 14/9) + 2701/27 sin(2 t + 80/51) + 1303/22 sin(3 t + 245/52) + 525/26 sin(4 t + 25/16) + 526/11 sin(5 t + 36/23) + 191/13 sin(6 t + 53/34) + 162/23 sin(7 t + 179/38) + 323/29 sin(8 t + 108/23) + 105/16 sin(9 t + 136/29) + 281/30 sin(10 t + 47/10) + 119/26 sin(11 t + 47/30) + 281/51 sin(12 t + 53/34) + 17/7 sin(13 t + 14/9) + 75/31 sin(15 t + 25/16) + 68/39 sin(16 t + 14/9) + 5/13 sin(17 t + 19/13) + 64/29 sin(18 t + 47/30) + 12/17 sin(19 t + 67/43) + 11/23 sin(20 t + 32/21) - 6832/31) θ(15 π - t) θ(t - 11 π) + (-61/40 sin(64/41 - 39 t) - 19/17 sin(154/103 - 38 t) - 107/31 sin(58/37 - 24 t) - 48/7 sin(45/29 - 22 t) - 132/19 sin(69/44 - 21 t) - 37/14 sin(82/53 - 20 t) - 107/31 sin(53/34 - 18 t) - 1021/44 sin(102/65 - 16 t) - 4/9 sin(19/16 - 14 t) - 5/27 sin(92/91 - 12 t) - 227/18 sin(25/16 - 11 t) - 1117/33 sin(91/58 - 7 t) - 1490/29 sin(36/23 - 5 t) - 419/26 sin(39/25 - 4 t) + 5191/22 sin(t + 69/44) + 5012/61 sin(2 t + 146/31) + 3813/28 sin(3 t + 212/45) + 896/45 sin(6 t + 146/31) + 789/28 sin(8 t + 47/30) + 1832/75 sin(9 t + 39/25) + 677/24 sin(10 t + 80/17) + 65/16 sin(13 t + 144/31) + 358/31 sin(15 t + 193/41) + 137/36 sin(17 t + 71/46) + 91/32 sin(19 t + 14/9) + 38/15 sin(23 t + 131/28) + 157/35 sin(25 t + 48/31) + 22/21 sin(26 t + 89/19) + 69/35 sin(27 t + 36/23) + 31/56 sin(28 t + 29/20) + 47/29 sin(29 t + 133/29) + 5/33 sin(30 t + 73/16) + 62/19 sin(31 t + 35/22) + 64/33 sin(32 t + 215/46) + 2/29 sin(33 t + 80/47) + 4/25 sin(34 t + 109/24) + 32/19 sin(35 t + 38/25) + 40/31 sin(36 t + 41/26) + 23/34 sin(37 t + 164/35) + 121/97 sin(40 t + 202/43) + 437/12) θ(11 π - t) θ(t - 7 π) + (-1/2 sin(45/29 - 12 t) - 119/38 sin(39/25 - 11 t) - 165/26 sin(36/23 - 7 t) - 8281/460 sin(25/16 - 3 t) - 1389/10 sin(69/44 - 2 t) + 1493/41 sin(t + 69/44) + 23/29 sin(4 t + 49/32) + 59/25 sin(5 t + 245/52) + 79/29 sin(6 t + 127/27) + 35/23 sin(8 t + 64/41) + 101/29 sin(9 t + 80/17) + 139/70 sin(10 t + 58/37) + 10497/35) θ(7 π - t) θ(t - 3 π) + (-37/48 sin(91/58 - 9 t) - 1263/85 sin(36/23 - 6 t) - 2798/33 sin(69/44 - t) + 142/35 sin(2 t + 27/17) + 2885/43 sin(3 t + 63/40) + 446/31 sin(4 t + 179/38) + 331/34 sin(5 t + 80/51) + 49/24 sin(7 t + 48/31) + 15/41 sin(8 t + 8/5) + 100/41 sin(10 t + 43/27) + 71/22 sin(11 t + 19/12) + 3/19 sin(12 t + 26/15) - 5170/21) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-219/58 sin(39/25 - 9 t) - 221/33 sin(47/30 - 6 t) - 275/21 sin(36/23 - 5 t) + 243/14 sin(t + 11/7) + 1881/37 sin(2 t + 11/7) + 70/51 sin(3 t + 41/25) + 1959/83 sin(4 t + 11/7) + 198/31 sin(7 t + 41/26) + 127/27 sin(8 t + 46/29) + 17/28 sin(10 t + 82/55) + 22/87 sin(11 t + 164/35) + 46/27 sin(12 t + 19/12) - 23915/118) θ(87 π - t) θ(t - 83 π) + (-12/35 sin(43/28 - 27 t) - 57/34 sin(173/115 - 23 t) - 27/14 sin(100/67 - 22 t) - 55/28 sin(23/15 - 21 t) - 22/51 sin(167/111 - 17 t) - 19/20 sin(20/13 - 12 t) - 884/33 sin(36/23 - 3 t) - 134/39 sin(47/30 - t) + 158/23 sin(2 t + 58/37) + 240/31 sin(4 t + 41/26) + 199/19 sin(5 t + 19/12) + 41/16 sin(6 t + 113/24) + 61/17 sin(7 t + 65/41) + 151/33 sin(8 t + 30/19) + 70/31 sin(9 t + 179/38) + 101/19 sin(10 t + 35/22) + 31/35 sin(11 t + 35/22) + 47/55 sin(13 t + 49/31) + 13/53 sin(14 t + 37/24) + 30/47 sin(15 t + 38/23) + 65/38 sin(16 t + 35/22) + 1/39 sin(18 t + 95/27) + 118/119 sin(19 t + 49/30) + 27/107 sin(20 t + 13/8) + 15/44 sin(24 t + 61/13) + 11/10 sin(25 t + 61/37) + 27/29 sin(26 t + 23/14) + 2/17 sin(28 t + 29/26) + 2/33 sin(29 t + 45/31) + 15/23 sin(30 t + 72/43) + 25/24 sin(31 t + 51/31) - 777/26) θ(83 π - t) θ(t - 79 π) + (-1/63 sin(59/38 - 10 t) + 66/37 sin(t + 11/7) + 13/5 sin(2 t + 11/7) + 8/15 sin(3 t + 245/52) + 7/34 sin(4 t + 41/26) + 4/21 sin(5 t + 41/26) + 1/13 sin(6 t + 30/19) + 3/26 sin(7 t + 146/31) + 3/22 sin(8 t + 30/19) + 1/240 sin(9 t + 114/25) + 1/749 sin(11 t + 38/23) + 1/19 sin(12 t + 49/31) + 5462/47) θ(79 π - t) θ(t - 75 π) + (-3/11 sin(208/139 - 12 t) - 9/34 sin(67/43 - 10 t) - 49/45 sin(43/28 - 9 t) - 287/76 sin(14/9 - 6 t) - 49/17 sin(37/24 - 5 t) - 373/33 sin(25/16 - 4 t) - 282/29 sin(61/39 - 3 t) + 23/10 sin(t + 221/47) + 1540/81 sin(2 t + 11/7) + 3/7 sin(7 t + 53/34) + 28/111 sin(8 t + 91/61) + 7/36 sin(11 t + 44/29) + 1694/13) θ(75 π - t) θ(t - 71 π) + (-3/17 sin(39/25 - 11 t) - 19/33 sin(39/25 - 8 t) - 40/21 sin(80/51 - 3 t) - 32/29 sin(36/23 - 2 t) + 25/9 sin(t + 11/7) + 105/23 sin(4 t + 63/40) + 85/64 sin(5 t + 52/33) + 5/18 sin(6 t + 30/19) + 5/18 sin(7 t + 68/43) + 5/32 sin(9 t + 36/23) + 4/35 sin(10 t + 146/31) + 3/20 sin(12 t + 11/7) + 816/11) θ(71 π - t) θ(t - 67 π) + (-83/35 sin(48/31 - 9 t) - 709/32 sin(39/25 - 2 t) - 7/36 sin(41/35 - t) + 392/37 sin(3 t + 35/22) + 382/25 sin(4 t + 51/32) + 32/13 sin(5 t + 75/16) + 174/25 sin(6 t + 8/5) + 13/6 sin(7 t + 163/98) + 46/19 sin(8 t + 35/22) + 25/14 sin(10 t + 49/31) + 5/46 sin(11 t + 73/20) + 1029/514 sin(12 t + 73/45) + 6142/91) θ(67 π - t) θ(t - 63 π) + (-62/61 sin(36/23 - 10 t) - 34/37 sin(45/29 - 8 t) - 233/155 sin(47/30 - 6 t) - 59/21 sin(36/23 - 5 t) - 335/38 sin(47/30 - 4 t) - 101/8 sin(69/44 - 2 t) + 123/5 sin(t + 212/45) + 543/40 sin(3 t + 91/58) + 7/50 sin(7 t + 70/51) + 33/37 sin(9 t + 11/7) + 11/15 sin(11 t + 30/19) + 30/121 sin(12 t + 19/12) + 1378/21) θ(63 π - t) θ(t - 59 π) + (-8/23 sin(36/23 - 11 t) - 11/27 sin(36/23 - 10 t) - 43/85 sin(47/30 - 8 t) - 45/31 sin(11/7 - 6 t) + 355/46 sin(t + 146/31) + 499/35 sin(2 t + 245/52) + 61/31 sin(3 t + 11/7) + 45/134 sin(4 t + 47/10) + 32/39 sin(5 t + 212/45) + 11/9 sin(7 t + 69/44) + 13/32 sin(9 t + 113/24) + 9/22 sin(12 t + 47/10) + 1517/24) θ(59 π - t) θ(t - 55 π) + (-89/38 sin(45/29 - 9 t) - 119/39 sin(36/23 - 5 t) - 52/41 sin(53/34 - 2 t) - 292/35 sin(36/23 - t) + 164/17 sin(3 t + 19/12) + 377/34 sin(4 t + 30/19) + 102/37 sin(6 t + 52/33) + 53/66 sin(7 t + 67/41) + 33/35 sin(8 t + 11/7) + 2/13 sin(10 t + 48/31) + 47/37 sin(11 t + 50/31) + 11/19 sin(12 t + 21/13) + 33/67) θ(55 π - t) θ(t - 51 π) + (1494/17 sin(t + 52/33) + 70 sin(2 t + 49/31) + 1004/25 sin(3 t + 27/17) + 100/13 sin(4 t + 191/41) + 38/39 sin(5 t + 207/49) + 162/17 sin(6 t + 57/35) + 59/23 sin(7 t + 47/27) + 193/26 sin(8 t + 13/8) + 283/63 sin(9 t + 75/16) + 65/32 sin(10 t + 57/35) + 116/83 sin(11 t + 51/31) + 91/45 sin(12 t + 66/41) + 13/51 sin(13 t + 291/145) + 195/71 sin(14 t + 18/11) + 103/72 sin(15 t + 97/21) + 65/24 sin(16 t + 57/34) + 16/29 sin(17 t + 68/33) + 24/49 sin(18 t + 49/24) + 3/11 sin(19 t + 131/34) + 17/16 sin(20 t + 37/21) + 13/14 sin(21 t + 26/15) + 57/43 sin(22 t + 93/56) + 16/43 sin(23 t + 107/23) + 25/42 sin(24 t + 83/51) - 925/13) θ(51 π - t) θ(t - 47 π) + (-34/29 sin(37/24 - 12 t) - 7/17 sin(43/28 - 9 t) - 62/23 sin(45/29 - 6 t) - 151/42 sin(36/23 - 4 t) - 13/42 sin(19/20 - 3 t) - 903/26 sin(53/34 - 2 t) - 212/29 sin(57/37 - t) + 39/23 sin(5 t + 11/7) + 37/39 sin(7 t + 53/34) + 12/31 sin(8 t + 80/17) + 8/25 sin(10 t + 43/25) + 48/41 sin(11 t + 45/28) + 18/25 sin(13 t + 27/17) + 7/20 sin(14 t + 53/30) + 1/8 sin(15 t + 29/17) + 4/19 sin(16 t + 19/11) + 26/51 sin(17 t + 59/36) + 1/11 sin(18 t + 67/15) + 7/20 sin(19 t + 28/17) + 9905/41) θ(47 π - t) θ(t - 43 π) + (-8/9 sin(45/31 - 18 t) - 181/25 sin(36/23 - 12 t) - 775/21 sin(113/72 - 6 t) + 2756/63 sin(t + 113/24) + 165/29 sin(2 t + 30/19) + 2083/35 sin(3 t + 212/45) + 617/16 sin(4 t + 47/30) + 610/17 sin(5 t + 47/30) + 995/32 sin(7 t + 58/37) + 155/24 sin(8 t + 54/35) + 359/25 sin(9 t + 36/23) + 49/22 sin(10 t + 26/17) + 34/15 sin(11 t + 192/41) + 441/43 sin(13 t + 69/44) + 101/16 sin(14 t + 127/27) + 341/35 sin(15 t + 202/43) + 115/28 sin(16 t + 89/19) + 11/6 sin(17 t + 35/22) + 82/33 sin(19 t + 39/25) + 134/63 sin(20 t + 75/16) + 40/37 sin(21 t + 32/7) + 18/53 sin(22 t + 91/20) + 6/7 sin(23 t + 59/38) + 37/36 sin(24 t + 41/28) + 89/33 sin(25 t + 45/29) + 57/28 sin(26 t + 155/33) + 15/38 sin(27 t + 83/18) + 29/47 sin(28 t + 121/26) + 23/20 sin(29 t + 257/55) + 37/25 sin(30 t + 136/29) + 21/32 sin(31 t + 21/13) + 37/35 sin(32 t + 47/10) + 3/19 sin(33 t + 83/51) + 19/77 sin(34 t + 49/30) + 5/28 sin(35 t + 38/25) + 7/15 sin(36 t + 189/41) + 6/11 sin(37 t + 55/37) + 15/23 sin(38 t + 179/38) + 19/24 sin(39 t + 59/38) + 19210/103) θ(43 π - t) θ(t - 39 π) + (-19/27 sin(58/37 - 25 t) - 195/62 sin(136/91 - 23 t) - 31/26 sin(47/34 - 22 t) - 23/17 sin(31/21 - 21 t) - 48/17 sin(236/157 - 19 t) - 100/31 sin(23/15 - 17 t) - 35/13 sin(28/19 - 16 t) - 97/36 sin(14/9 - 9 t) - 366/31 sin(20/13 - 8 t) - 348/31 sin(45/29 - 7 t) - 1241/43 sin(47/30 - 2 t) - 18/31 sin(38/27 - t) + 2218/69 sin(3 t + 30/19) + 113/25 sin(4 t + 47/10) + 137/10 sin(5 t + 27/17) + 149/35 sin(6 t + 43/27) + 503/39 sin(10 t + 21/13) + 269/17 sin(11 t + 50/31) + 121/40 sin(12 t + 179/38) + 7/31 sin(13 t + 28/15) + 35/6 sin(14 t + 49/30) + 4/31 sin(15 t + 95/22) + 76/35 sin(18 t + 27/17) + 25/28 sin(20 t + 61/41) + 27/26 sin(24 t + 43/27) - 294/13) θ(39 π - t) θ(t - 35 π) + (-29/48 sin(112/75 - 23 t) - 21/25 sin(14/9 - 21 t) - 49/29 sin(54/35 - 20 t) - 67/23 sin(55/36 - 16 t) - 633/79 sin(67/43 - 14 t) - 137/23 sin(20/13 - 13 t) - 48/23 sin(32/21 - 11 t) - 225/23 sin(45/29 - 10 t) - 397/40 sin(31/20 - 8 t) - 341/57 sin(39/25 - 7 t) - 779/37 sin(61/39 - 6 t) - 2/33 sin(5/12 - 5 t) - 281/16 sin(25/16 - 4 t) - 1549/25 sin(47/30 - 2 t) - 7338/179 sin(80/51 - t) + 361/72 sin(3 t + 63/40) + 907/53 sin(9 t + 65/41) + 383/31 sin(12 t + 43/27) + 9/4 sin(15 t + 221/47) + 141/37 sin(17 t + 43/27) + 7/32 sin(18 t + 75/43) + 82/25 sin(19 t + 35/22) + 6/25 sin(22 t + 78/17) + 9/17 sin(24 t + 12/7) + 8/27 sin(25 t + 61/42) + 2891/22) θ(35 π - t) θ(t - 31 π) + (-12/19 sin(71/46 - 14 t) - 4/27 sin(44/29 - 12 t) - 395/38 sin(31/20 - 8 t) + 35/6 sin(t + 19/12) + 4663/68 sin(2 t + 52/33) + 6/53 sin(3 t + 8/3) + 513/17 sin(4 t + 30/19) + 101/36 sin(5 t + 60/37) + 89/8 sin(6 t + 19/12) + 22/13 sin(7 t + 47/10) + 1125/562 sin(9 t + 13/8) + 283/24 sin(10 t + 43/27) + 55/83 sin(11 t + 157/34) + 1/11 sin(13 t + 29/16) + 1/4 sin(15 t + 37/8) + 103/44 sin(16 t + 53/33) + 21/85 sin(17 t + 72/41) + 11/17 sin(18 t + 29/18) + 5/28 sin(19 t + 119/26) + 11/37 sin(20 t + 51/31) - 5657/24) θ(31 π - t) θ(t - 27 π) + (-724/167 sin(53/34 - 12 t) - 133/59 sin(36/23 - 11 t) - 355/118 sin(43/28 - 5 t) + 578/37 sin(t + 30/19) + 2546/23 sin(2 t + 179/38) + 290/21 sin(3 t + 41/26) + 203/30 sin(4 t + 59/38) + 369/17 sin(6 t + 102/65) + 322/31 sin(7 t + 146/31) + 524/31 sin(8 t + 80/17) + 177/31 sin(9 t + 193/41) + 19/14 sin(10 t + 43/27) + 43/42 sin(13 t + 8/5) + 29/13 sin(14 t + 212/45) + 69/43 sin(15 t + 155/33) + 32/15 sin(16 t + 127/27) + 158/33 sin(17 t + 113/24) + 87/34 sin(18 t + 89/19) + 101/72 sin(19 t + 61/13) + 49/23 sin(20 t + 127/27) - 5391/50) θ(27 π - t) θ(t - 23 π) + (-13/59 sin(25/16 - 16 t) - 9/22 sin(31/20 - 11 t) - 17/27 sin(39/25 - 10 t) - 24/17 sin(25/16 - 8 t) - 3/14 sin(54/35 - 7 t) - 45/46 sin(45/29 - 5 t) - 189/47 sin(58/37 - 4 t) - 503/27 sin(113/72 - 2 t) - 682/27 sin(102/65 - t) + 207/28 sin(3 t + 107/68) + 7/30 sin(6 t + 64/41) + 27/32 sin(9 t + 52/33) + 4/29 sin(12 t + 21/13) + 1/4 sin(13 t + 68/43) + 8/35 sin(14 t + 179/38) + 7/20 sin(15 t + 30/19) + 5/38 sin(17 t + 113/24) + 1/94 sin(18 t + 104/23) + 1/16 sin(19 t + 37/23) - 18999/43) θ(23 π - t) θ(t - 19 π) + (-41/37 sin(58/37 - 17 t) - 23/7 sin(31/20 - 15 t) - 86/85 sin(325/217 - 14 t) - 38/13 sin(59/38 - 13 t) - 86/53 sin(58/37 - 11 t) - 289/14 sin(39/25 - 5 t) - 895/13 sin(58/37 - t) + 634/45 sin(2 t + 63/40) + 994/27 sin(3 t + 30/19) + 227/12 sin(4 t + 30/19) + 203/23 sin(6 t + 19/12) + 202/47 sin(7 t + 101/63) + 336/55 sin(8 t + 30/19) + 99/10 sin(9 t + 43/27) + 322/31 sin(10 t + 27/17) + 67/23 sin(12 t + 49/31) + 23/39 sin(16 t + 48/31) + 34/39 sin(18 t + 51/32) + 43/17 sin(19 t + 47/29) + 43/40 sin(20 t + 30/19) - 18457/41) θ(19 π - t) θ(t - 15 π) + (-2/11 sin(51/35 - 16 t) - 5/13 sin(71/52 - 14 t) - 181/30 sin(47/30 - 10 t) - 800/13 sin(102/65 - t) + 1942/27 sin(2 t + 69/44) + 245/12 sin(3 t + 80/51) + 816/25 sin(4 t + 179/38) + 52/27 sin(5 t + 41/25) + 313/22 sin(6 t + 113/24) + 353/39 sin(7 t + 52/33) + 143/14 sin(8 t + 179/38) + 155/24 sin(9 t + 41/26) + 99/20 sin(11 t + 36/23) + 77/32 sin(12 t + 68/45) + 75/13 sin(13 t + 39/25) + 13/11 sin(15 t + 164/35) + 5/14 sin(17 t + 47/31) + 28/47 sin(18 t + 53/35) + 74/73 sin(19 t + 37/24) + 5/22 sin(20 t + 93/20) - 22534/83) θ(15 π - t) θ(t - 11 π) + (-11/23 sin(29/20 - 23 t) - 83/24 sin(69/44 - 21 t) - 151/28 sin(87/56 - 19 t) - 274/25 sin(14/9 - 17 t) - 41/21 sin(63/44 - 14 t) - 51/46 sin(37/29 - 12 t) - 2065/99 sin(39/25 - 11 t) + 5424/41 sin(t + 80/51) + 7812/41 sin(2 t + 91/58) + 2605/84 sin(3 t + 19/12) + 1053/4 sin(4 t + 102/65) + 2386/23 sin(5 t + 212/45) + 1792/33 sin(6 t + 155/33) + 409/31 sin(7 t + 32/21) + 729/56 sin(8 t + 133/83) + 57/14 sin(9 t + 45/29) + 109/17 sin(10 t + 41/26) + 478/25 sin(13 t + 169/36) + 56/25 sin(15 t + 194/129) + 5/4 sin(16 t + 75/16) + 135/47 sin(18 t + 127/27) + 19/35 sin(20 t + 8/5) + 61/32 sin(22 t + 49/30) + 17/31 sin(24 t + 95/21) + 36/23 sin(25 t + 61/13) + 39/17 sin(26 t + 46/29) + 64/51 sin(27 t + 63/38) + 40/43 sin(28 t + 59/40) + 5/19 sin(29 t + 157/35) + 20/7 sin(30 t + 23/15) + 482/481 sin(31 t + 208/45) + 90/91 sin(32 t + 61/39) + 18/19 sin(33 t + 31/22) + 18/29 sin(34 t + 39/22) + 32/63 sin(35 t + 37/25) + 1/30 sin(36 t + 176/43) + 20/13 sin(37 t + 499/107) + 10/27 sin(38 t + 59/41) + 3/2 sin(39 t + 75/16) + 1/86 sin(40 t + 23/28) - 29249/41) θ(11 π - t) θ(t - 7 π) + (-46/29 sin(26/17 - 12 t) - 15/19 sin(31/20 - 11 t) - 67/6 sin(36/23 - 7 t) - 466/17 sin(58/37 - 3 t) + 1217/33 sin(t + 118/75) + 1306/95 sin(2 t + 11/7) + 867/43 sin(4 t + 85/54) + 176/13 sin(5 t + 30/19) + 959/101 sin(6 t + 41/26) + 207/28 sin(8 t + 11/7) + 66/31 sin(9 t + 93/58) + 291/37 sin(10 t + 19/12) - 104662/97) θ(7 π - t) θ(t - 3 π) + (-108/43 sin(59/38 - 12 t) - 11/9 sin(73/47 - 11 t) - 457/19 sin(61/39 - 4 t) + 283/14 sin(t + 212/45) + 458/7 sin(2 t + 74/47) + 307/35 sin(3 t + 85/54) + 541/116 sin(5 t + 36/23) + 273/32 sin(6 t + 30/19) + 191/22 sin(7 t + 19/12) + 183/14 sin(8 t + 68/43) + 121/31 sin(9 t + 62/39) + 58/19 sin(10 t + 74/47) - 34942/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-1/78 sin(23/15 - 16 t) - 1/43 sin(11/7 - 15 t) - 1/46 sin(14/9 - 14 t) - 1/24 sin(11/7 - 11 t) - 1/12 sin(11/7 - 9 t) - 1/44 sin(11/7 - 8 t) - 2/11 sin(11/7 - 7 t) - 1/4 sin(11/7 - 4 t) - 1/9 sin(17/11 - 3 t) - 5/11 sin(11/7 - 2 t) + 91/11 sin(t + 11/7) + 3/10 sin(5 t + 33/7) + 1/9 sin(6 t + 47/10) + 1/30 sin(13 t + 33/7) + 1/6) θ(59 π - t) θ(t - 55 π) + (27/4 sin(t + 11/7) + 1/5 sin(2 t + 8/5) + 1/4 sin(3 t + 19/12) + 1/9 sin(5 t + 11/7) + 1/30 sin(7 t + 14/9) + 1/30 sin(9 t + 19/12) + 27/2) θ(55 π - t) θ(t - 51 π) + (58/9 sin(t + 11/7) + 13/25 sin(2 t + 11/7) + 1/12 sin(3 t + 19/12) + 1/11 sin(4 t + 11/7) + 1/47 sin(5 t + 13/8) + 1/9 sin(6 t + 19/12) + 1/31 sin(7 t + 33/7) + 1/13 sin(8 t + 8/5) + 1/72 sin(10 t + 19/12) - 211/14) θ(51 π - t) θ(t - 47 π) + (-3/11 sin(11/7 - 12 t) - 3/8 sin(11/7 - 10 t) - 1/92 sin(11/8 - 9 t) - 4/5 sin(14/9 - 6 t) + 304/13 sin(t + 11/7) + 73/5 sin(2 t + 33/7) + 25/8 sin(3 t + 61/13) + 22/9 sin(4 t + 47/10) + 6/13 sin(5 t + 11/7) + 1/5 sin(7 t + 55/12) + 2/3 sin(8 t + 61/13) + 1/24 sin(11 t + 17/8) + 1/50 sin(13 t + 8/5) + 1/9 sin(14 t + 51/11) + 531/11) θ(47 π - t) θ(t - 43 π) + (-1/13 sin(23/15 - 13 t) - 1/9 sin(20/13 - 11 t) - 1/5 sin(11/7 - 7 t) - 50/17 sin(14/9 - 3 t) + 313/13 sin(t + 11/7) + 117/8 sin(2 t + 11/7) + 13/5 sin(4 t + 11/7) + 5/12 sin(5 t + 8/5) + 7/6 sin(6 t + 11/7) + 7/10 sin(8 t + 8/5) + 1/22 sin(9 t + 12/7) + 2/7 sin(10 t + 14/9) + 4/13 sin(12 t + 8/5) + 1/6 sin(14 t + 19/12) + 1/96 sin(15 t + 14/3) - 341/7) θ(43 π - t) θ(t - 39 π) + (-1/10 sin(14/9 - 14 t) - 1/43 sin(10/7 - 13 t) - 2/11 sin(17/11 - 12 t) - 1/5 sin(17/11 - 10 t) - 5/12 sin(20/13 - 8 t) - 1/33 sin(5/6 - 7 t) - 12/13 sin(17/11 - 6 t) - 18/11 sin(14/9 - 4 t) - 3/5 sin(20/13 - 3 t) - 97/10 sin(11/7 - 2 t) - 24/13 sin(11/7 - t) + 1/9 sin(5 t + 9/7) + 1/17 sin(11 t + 23/15) + 342/5) θ(39 π - t) θ(t - 35 π) + (-1/12 sin(20/13 - 21 t) - 1/10 sin(14/9 - 19 t) - 1/33 sin(3/2 - 17 t) - 1/6 sin(14/9 - 7 t) - 2/13 sin(17/11 - 5 t) + 137/12 sin(t + 11/7) + 102/13 sin(2 t + 11/7) + 5/12 sin(3 t + 14/9) + 9/17 sin(4 t + 14/9) + 5/11 sin(6 t + 19/12) + 3/10 sin(8 t + 19/12) + 1/16 sin(9 t + 5/3) + 1/4 sin(10 t + 8/5) + 1/47 sin(11 t + 47/10) + 1/12 sin(12 t + 17/11) + 1/41 sin(13 t + 27/16) + 1/19 sin(14 t + 8/5) + 1/20 sin(16 t + 17/11) + 1/14 sin(18 t + 8/5) + 1/10 sin(20 t + 13/8) + 1/25 sin(22 t + 14/9) - 701/12) θ(35 π - t) θ(t - 31 π) + (123/16 sin(t + 10/7) + 596/17) θ(31 π - t) θ(t - 27 π) + (31/4 sin(t + 11/7) - 461/13) θ(27 π - t) θ(t - 23 π) + (125/14 sin(t + 2) + 9/17 sin(2 t + 41/10) - 2/11) θ(23 π - t) θ(t - 19 π) + (142/19 sin(t + 1/9) + 148/11) θ(19 π - t) θ(t - 15 π) + (135/17 sin(t + 1/8) - 102/7) θ(15 π - t) θ(t - 11 π) + (21/4 sin(t + 1/6) + 51/4) θ(11 π - t) θ(t - 7 π) + (67/13 sin(t + 2/7) - 83/6) θ(7 π - t) θ(t - 3 π) + (-1/4 sin(1/11 - 2 t) - 931/15 sin(1/11 - t) - 5/8) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-1/22 sin(11/7 - 16 t) - 3/10 sin(11/7 - 6 t) - 8/9 sin(11/7 - 4 t) - 19/8 sin(11/7 - 2 t) - 11/17 sin(11/7 - t) + 1/10 sin(3 t + 47/10) + 1/25 sin(5 t + 19/12) + 1/7 sin(8 t + 33/7) + 1/16 sin(9 t + 11/7) + 1/13 sin(10 t + 33/7) + 1/41 sin(11 t + 11/7) + 1/19 sin(12 t + 33/7) + 1/20 sin(14 t + 33/7) + 19/8) θ(59 π - t) θ(t - 55 π) + (5/8 sin(t + 33/7) + 27/11 sin(2 t + 11/7) + 1/57 sin(3 t + 67/15) + 5/11 sin(4 t + 19/12) + 1/27 sin(5 t + 5/3) + 2/9 sin(6 t + 11/7) + 1/7 sin(8 t + 11/7) + 1/17 sin(10 t + 19/12) + 385/16) θ(55 π - t) θ(t - 51 π) + (-21/16 sin(11/7 - t) + 52/21 sin(2 t + 11/7) + 1/77 sin(3 t + 59/13) + 5/9 sin(4 t + 11/7) + 1/15 sin(5 t + 21/13) + 1/5 sin(6 t + 11/7) + 1/10 sin(7 t + 47/10) + 1/7 sin(8 t + 11/7) + 1/34 sin(9 t + 5/3) + 1/13 sin(10 t + 19/12) + 271/11) θ(51 π - t) θ(t - 47 π) + (-1/10 sin(3/2 - 9 t) - 5/9 sin(11/7 - 5 t) - 1/4 sin(3/2 - 3 t) + 225/16 sin(t + 11/7) + 67/5 sin(2 t + 11/7) + 5/7 sin(4 t + 8/5) + 13/12 sin(6 t + 11/7) + 1/70 sin(7 t + 1/7) + 10/21 sin(8 t + 11/7) + 1/5 sin(10 t + 14/9) + 1/10 sin(11 t + 19/13) + 2/9 sin(12 t + 14/9) + 1/18 sin(13 t + 16/11) + 3/14 sin(14 t + 14/9) - 612/11) θ(47 π - t) θ(t - 43 π) + (-2/9 sin(17/11 - 7 t) - 74/5 sin(11/7 - t) + 209/15 sin(2 t + 11/7) + 2/7 sin(3 t + 8/5) + 7/12 sin(4 t + 17/11) + 4/9 sin(5 t + 8/5) + 5/7 sin(6 t + 11/7) + 4/11 sin(8 t + 11/7) + 1/5 sin(9 t + 21/13) + 1/3 sin(10 t + 19/12) + 1/13 sin(11 t + 11/7) + 1/4 sin(12 t + 19/12) + 1/8 sin(13 t + 8/5) + 1/7 sin(14 t + 8/5) + 1/18 sin(15 t + 17/11) - 390/7) θ(43 π - t) θ(t - 39 π) + (-227/10 sin(11/7 - t) + 13/7 sin(2 t + 11/7) + 1/11 sin(3 t + 3/2) + 7/9 sin(4 t + 11/7) + 1/6 sin(5 t + 8/5) + 2/5 sin(6 t + 19/12) + 1/5 sin(7 t + 8/5) + 2/7 sin(8 t + 8/5) + 1/35 sin(9 t + 39/20) + 1/7 sin(10 t + 23/14) + 1/8 sin(12 t + 13/8) + 1/8 sin(14 t + 8/5) - 47/11) θ(39 π - t) θ(t - 35 π) + (-1/25 sin(3/2 - 23 t) - 1/13 sin(14/9 - 22 t) - 1/21 sin(26/17 - 21 t) - 1/16 sin(14/9 - 18 t) - 1/36 sin(19/13 - 17 t) - 1/8 sin(14/9 - 16 t) - 1/25 sin(17/11 - 15 t) - 1/6 sin(11/7 - 14 t) - 1/6 sin(14/9 - 12 t) - 3/11 sin(14/9 - 10 t) - 1/52 sin(19/13 - 9 t) - 5/16 sin(14/9 - 8 t) - 5/7 sin(11/7 - 6 t) - 22/9 sin(11/7 - 4 t) - 8/5 sin(11/7 - 3 t) - 67/8 sin(11/7 - 2 t) + 254/13 sin(t + 11/7) + 1/4 sin(5 t + 14/3) + 1/9 sin(7 t + 14/9) + 1/57 sin(11 t + 11/9) + 1/42 sin(19 t + 47/10) + 1/20 sin(20 t + 61/13) + 466/9) θ(35 π - t) θ(t - 31 π) + (5 sin(t + 11/4) + 129/10) θ(31 π - t) θ(t - 27 π) + (58/11 sin(t + 19/6) + 133/10) θ(27 π - t) θ(t - 23 π) + (95/12 sin(t + 25/7) + 5/9 sin(2 t + 29/14) + 17/9) θ(23 π - t) θ(t - 19 π) + (332/11 - 178/11 sin(13/9 - t)) θ(19 π - t) θ(t - 15 π) + (272/9 - 122/7 sin(23/17 - t)) θ(15 π - t) θ(t - 11 π) + (513/13 - 39/5 sin(13/10 - t)) θ(11 π - t) θ(t - 7 π) + (317/8 - 68/9 sin(11/8 - t)) θ(7 π - t) θ(t - 3 π) + (799/13 sin(t + 37/8) + 3/4 sin(2 t + 59/29) + 29/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-2/11 sin(23/15 - 12 t) - 1/6 sin(15/11 - 5 t) - 80/7 sin(11/7 - 2 t) + 134/15 sin(t + 11/7) + 202/11 sin(3 t + 11/7) + 80/11 sin(4 t + 11/7) + 3/8 sin(6 t + 60/13) + 3/7 sin(7 t + 8/5) + 5/9 sin(8 t + 8/5) + 1/8 sin(9 t + 16/11) + 16/9 sin(10 t + 11/7) + 7/10 sin(11 t + 11/7) + 3/11 sin(13 t + 61/13) + 5/9 sin(14 t + 19/12) + 1/41 sin(15 t + 53/12) + 1/4 sin(16 t + 3/2) + 2/5 sin(17 t + 20/13) + 3/10 sin(18 t + 11/7) + 3/10 sin(19 t + 14/3) + 1/47 sin(20 t + 5/2) + 1/9 sin(21 t + 14/9) + 1/9 sin(22 t + 14/9) + 1/58 sin(23 t + 11/9) + 3/11 sin(24 t + 11/7) + 1/19 sin(25 t + 11/7) + 1/10 sin(26 t + 33/7) + 1/8 sin(28 t + 23/15) + 1/13 sin(29 t + 17/11) + 1/28 sin(30 t + 23/15) + 1/10 sin(31 t + 14/9) + 1/88 sin(32 t + 45/23) + 1/11 sin(33 t + 14/3) + 1/56 sin(34 t + 9/5) + 1/9 sin(35 t + 14/9) - 1421/13) θ(103 π - t) θ(t - 99 π) + (-1/84 sin(19/14 - 35 t) - 1/30 sin(19/13 - 34 t) - 1/37 sin(3/2 - 32 t) - 1/42 sin(10/7 - 31 t) - 1/13 sin(20/13 - 30 t) - 1/7 sin(20/13 - 26 t) - 1/26 sin(23/17 - 25 t) - 1/7 sin(23/15 - 22 t) - 1/17 sin(17/12 - 21 t) - 1/7 sin(3/2 - 18 t) - 1/23 sin(19/13 - 17 t) - 2/7 sin(26/17 - 16 t) - 1/62 sin(4/3 - 15 t) - 9/14 sin(17/11 - 12 t) - 1/7 sin(22/15 - 11 t) - 11/9 sin(14/9 - 8 t) - 4/11 sin(20/13 - 7 t) - 8/9 sin(14/9 - 6 t) - 13/7 sin(14/9 - 4 t) - 2/3 sin(11/7 - 3 t) - 155/9 sin(11/7 - 2 t) + 29/9 sin(t + 11/7) + 4/7 sin(5 t + 19/12) + 2/7 sin(9 t + 11/7) + 1/19 sin(10 t + 32/7) + 1/11 sin(13 t + 19/13) + 1/17 sin(14 t + 14/3) + 1/32 sin(19 t + 10/7) + 1/30 sin(20 t + 37/8) + 1/34 sin(23 t + 4/3) + 1/26 sin(24 t + 47/10) + 1/33 sin(27 t + 7/5) + 1/73 sin(28 t + 22/5) + 1/81 sin(33 t + 3/2) + 130/7) θ(99 π - t) θ(t - 95 π) + (1239/20 sin(t + 14/9) + 51/14 sin(2 t + 61/13) + 160/7 sin(3 t + 79/17) + 13/7 sin(4 t + 94/21) + 44/15 sin(5 t + 65/14) + 19/4 sin(6 t + 23/5) + 56/15 sin(7 t + 32/7) + 3/4 sin(8 t + 53/12) + 7/3 sin(9 t + 41/9) + 7/8 sin(10 t + 51/11) + 23/17 sin(11 t + 11/7) + 29/9 sin(12 t + 23/5) + 2 sin(13 t + 14/9) + 33/17 sin(14 t + 14/3) + 8/9 sin(15 t + 13/8) + 9/10 sin(16 t + 51/11) + 1/8 sin(17 t + 16/7) + 7/15 sin(18 t + 58/13) + 7/13 sin(19 t + 35/8) + 2/9 sin(20 t + 13/10) + 1/4 sin(21 t + 53/12) + 3/10 sin(22 t + 14/3) + 3/8 sin(23 t + 13/8) + 10/13 sin(24 t + 9/2) + 2/11 sin(25 t + 15/8) + 1/6 sin(26 t + 14/3) + 2/11 sin(27 t + 33/8) + 1/8 sin(28 t + 43/10) + 3/13 sin(29 t + 69/17) - 283/13) θ(95 π - t) θ(t - 91 π) + (-1/77 sin(19/14 - 28 t) - 1/27 sin(14/9 - 25 t) - 1/14 sin(20/13 - 23 t) - 1/8 sin(23/15 - 21 t) - 1/9 sin(17/11 - 19 t) - 1/18 sin(7/5 - 14 t) - 1/32 sin(10/7 - 11 t) - 6/7 sin(14/9 - 9 t) - 7/5 sin(14/9 - 7 t) - 7/10 sin(14/9 - 5 t) + 49/8 sin(t + 11/7) + 75/37 sin(2 t + 11/7) + 17/9 sin(3 t + 11/7) + 59/17 sin(4 t + 11/7) + 22/7 sin(6 t + 11/7) + 11/6 sin(8 t + 11/7) + 5/6 sin(10 t + 11/7) + 1/6 sin(12 t + 17/11) + 2/5 sin(13 t + 11/7) + 1/3 sin(15 t + 19/12) + 1/8 sin(16 t + 29/19) + 2/9 sin(18 t + 14/9) + 3/11 sin(20 t + 11/7) + 2/11 sin(22 t + 11/7) + 1/8 sin(24 t + 11/7) + 1/26 sin(26 t + 20/13) + 1/56 sin(27 t + 22/13) + 1/34 sin(29 t + 13/8) + 1/32 sin(30 t + 11/7) - 1031/13) θ(91 π - t) θ(t - 87 π) + (-1/20 sin(2/7 - 33 t) - 1/10 sin(3/11 - 27 t) - 1/9 sin(5/4 - 23 t) - 4/9 sin(13/10 - 17 t) - 2/13 sin(6/5 - 12 t) + 919/20 sin(t + 11/7) + 16/7 sin(2 t + 7/5) + 14/3 sin(3 t + 20/13) + 13/12 sin(4 t + 20/13) + 6/5 sin(5 t + 13/9) + 3/2 sin(6 t + 11/8) + 4 sin(7 t + 3/2) + 25/9 sin(8 t + 14/9) + 41/8 sin(9 t + 61/13) + 9/13 sin(10 t + 17/4) + 4/15 sin(11 t + 25/6) + 7/15 sin(13 t + 3/2) + 1/10 sin(14 t + 21/20) + 5/11 sin(15 t + 22/15) + 3/11 sin(16 t + 7/5) + 13/9 sin(18 t + 13/9) + 3/10 sin(19 t + 5/8) + 8/11 sin(20 t + 23/17) + 1/6 sin(21 t + 17/16) + 1/8 sin(22 t + 12/11) + 2/9 sin(24 t + 11/9) + 1/3 sin(25 t + 9/8) + 5/7 sin(26 t + 15/11) + 1/6 sin(28 t + 13/8) + 2/11 sin(29 t + 65/14) + 1/8 sin(30 t + 37/8) + 1/48 sin(31 t + 47/16) + 1/11 sin(32 t + 5/4) - 300/11) θ(87 π - t) θ(t - 83 π) + (-1/3 sin(14/9 - 18 t) - 1/11 sin(6/5 - 17 t) - 2/9 sin(11/7 - 15 t) - 101/6 sin(11/7 - 3 t) - 727/26 sin(11/7 - 2 t) + 331/14 sin(t + 33/7) + 237/10 sin(4 t + 11/7) + 29/9 sin(5 t + 47/10) + 31/9 sin(6 t + 11/7) + 31/11 sin(7 t + 11/7) + 24/7 sin(8 t + 21/13) + 32/13 sin(9 t + 17/11) + 3/10 sin(10 t + 7/4) + 3/14 sin(11 t + 17/11) + 99/50 sin(12 t + 11/7) + 13/12 sin(13 t + 47/10) + 3/11 sin(14 t + 31/21) + 2/11 sin(16 t + 13/8) + 2/9 sin(19 t + 14/9) + 9/14 sin(20 t + 19/12) + 3/8 sin(21 t + 65/14) + 1/3 sin(22 t + 11/7) + 1/4 sin(23 t + 13/8) + 1/2 sin(24 t + 8/5) + 1/13 sin(25 t + 17/10) + 1/8 sin(26 t + 65/14) + 1/4 sin(27 t + 11/7) + 2/5 sin(28 t + 18/11) + 1/5 sin(29 t + 61/13) + 1/45 sin(30 t + 47/10) + 1/19 sin(31 t + 14/3) + 1/4 sin(32 t + 11/7) - 528/17) θ(83 π - t) θ(t - 79 π) + (-1/9 sin(10/7 - 32 t) - 72/5 sin(11/7 - t) + 1/21 sin(16 t) + 719/30 sin(2 t + 33/7) + 195/8 sin(3 t + 11/7) + 104/11 sin(4 t + 8/5) + 758/23 sin(5 t + 11/7) + 218/31 sin(6 t + 33/7) + 5/2 sin(7 t + 14/3) + 121/15 sin(8 t + 11/7) + 1/3 sin(9 t + 23/13) + 14/5 sin(10 t + 47/10) + 37/11 sin(11 t + 11/7) + 7/9 sin(12 t + 18/11) + 5/3 sin(13 t + 11/7) + 4/9 sin(14 t + 23/5) + 2/9 sin(15 t + 22/5) + 2/9 sin(17 t + 23/13) + 10/11 sin(18 t + 13/8) + 1/7 sin(19 t + 21/5) + 1/5 sin(20 t + 13/7) + 20/11 sin(21 t + 11/7) + 2/11 sin(22 t + 23/5) + 3/4 sin(23 t + 37/8) + 5/7 sin(24 t + 11/7) + 1/15 sin(25 t + 31/16) + 1/24 sin(26 t + 48/11) + 1/12 sin(27 t + 20/9) + 2/9 sin(28 t + 9/5) + 1/5 sin(29 t + 7/5) + 1/6 sin(30 t + 17/9) + 1/10 sin(33 t + 43/10) + 4/7 sin(34 t + 11/7) + 1/10 sin(35 t + 65/14) - 172/9) θ(79 π - t) θ(t - 75 π) + (-1/26 sin(22/15 - 34 t) - 1/37 sin(35/23 - 32 t) - 1/6 sin(11/7 - 29 t) - 1/18 sin(16/11 - 25 t) - 1/19 sin(17/11 - 24 t) - 1/67 sin(4/3 - 21 t) - 1/6 sin(28/19 - 19 t) - 3/11 sin(11/7 - 16 t) - 2/11 sin(11/7 - 15 t) - 1/5 sin(13/9 - 11 t) - 1/7 sin(17/11 - 9 t) - 13/3 sin(11/7 - 3 t) + 61/9 sin(t + 33/7) + 50/11 sin(2 t + 47/10) + 112/13 sin(4 t + 11/7) + 37/8 sin(5 t + 14/9) + 2/11 sin(6 t + 47/10) + 25/9 sin(7 t + 33/7) + 5/6 sin(8 t + 8/5) + 13/8 sin(10 t + 11/7) + 4/11 sin(12 t + 11/7) + 2/7 sin(13 t + 8/5) + 1/33 sin(14 t + 16/9) + 1/9 sin(17 t + 65/14) + 1/2 sin(18 t + 19/12) + 1/5 sin(20 t + 23/15) + 1/19 sin(22 t + 12/7) + 3/11 sin(26 t + 14/9) + 1/24 sin(27 t + 17/12) + 1/10 sin(28 t + 19/12) + 1/17 sin(30 t + 19/12) + 1/16 sin(31 t + 8/5) + 1/10 sin(35 t + 20/13) + 1/7 sin(36 t + 17/11) - 667/11) θ(75 π - t) θ(t - 71 π) + (-1/9 sin(9/7 - 28 t) - 1/7 sin(30/29 - 25 t) - 6/11 sin(4/3 - 19 t) - 6/11 sin(3/2 - 15 t) - 1/10 sin(2/5 - 10 t) - 2/5 sin(14/9 - 9 t) - 17/7 sin(20/13 - 4 t) + 93/7 sin(t + 19/12) + 93/10 sin(2 t + 13/8) + 287/18 sin(3 t + 13/8) + 9/14 sin(5 t + 19/12) + 38/9 sin(6 t + 17/10) + 5/9 sin(7 t + 7/4) + 16/17 sin(8 t + 17/10) + 8/15 sin(11 t + 99/49) + 13/7 sin(12 t + 7/4) + 5/13 sin(13 t + 51/11) + 2/9 sin(14 t + 9/7) + 2/7 sin(16 t + 19/13) + 4/9 sin(17 t + 24/11) + 10/13 sin(18 t + 9/5) + 1/6 sin(20 t + 3/2) + 1/16 sin(21 t + 15/4) + 2/9 sin(22 t + 13/7) + 1/3 sin(23 t + 19/9) + 1/12 sin(24 t + 61/30) + 1/9 sin(26 t + 16/7) + 1/8 sin(27 t + 29/15) + 2/9 sin(29 t + 2) + 1/14 sin(30 t + 17/6) + 1/20 sin(31 t + 7/5) - 587/25) θ(71 π - t) θ(t - 67 π) + (-3/13 sin(11/8 - 29 t) - 1/9 sin(13/10 - 25 t) - 50/51 sin(17/11 - 19 t) - 16/5 sin(17/11 - 11 t) - 4/13 sin(15/16 - 4 t) - 302/9 sin(11/7 - 2 t) + 3/5 sin(t + 18/11) + 221/6 sin(3 t + 11/7) + 23/22 sin(5 t + 3/2) + 29/9 sin(6 t + 13/8) + 101/6 sin(7 t + 47/10) + 133/16 sin(8 t + 61/13) + 49/8 sin(9 t + 11/7) + 12/5 sin(10 t + 29/19) + 46/11 sin(12 t + 29/19) + 79/13 sin(13 t + 29/19) + 10/3 sin(14 t + 22/15) + 29/28 sin(15 t + 9/7) + 4/5 sin(16 t + 11/8) + 23/17 sin(17 t + 16/11) + 37/16 sin(18 t + 26/17) + 11/17 sin(20 t + 23/5) + 1/2 sin(21 t + 14/9) + 5/16 sin(22 t + 12/7) + sin(23 t + 14/3) + 1/7 sin(24 t + 14/3) + 2/11 sin(26 t + 14/3) + 2/7 sin(27 t + 26/17) + 4/9 sin(28 t + 19/13) + 2/7 sin(30 t + 3/2) + 1/7 sin(31 t + 17/13) + 2/9 sin(32 t + 21/13) + 3/8 sin(33 t + 37/8) + 3/10 sin(34 t + 9/2) + 2/9 sin(35 t + 50/11) + 3/11 sin(36 t + 14/9) + 763/9) θ(67 π - t) θ(t - 63 π) + (-1/7 sin(19/14 - 42 t) - 5/13 sin(10/7 - 40 t) - 1/7 sin(13/10 - 39 t) - 2/13 sin(23/17 - 38 t) - 3/11 sin(15/11 - 37 t) - 1/6 sin(14/11 - 36 t) - 1/6 sin(10/7 - 34 t) - 5/12 sin(17/11 - 33 t) - 5/12 sin(14/9 - 29 t) - 1/22 sin(16/11 - 28 t) - 4/9 sin(13/9 - 25 t) - 9/10 sin(35/23 - 22 t) - 1/15 sin(9/14 - 21 t) - 1/7 sin(19/13 - 20 t) - 4/7 sin(22/15 - 19 t) - 5/14 sin(13/9 - 18 t) - 19/14 sin(32/21 - 17 t) - 2/9 sin(16/13 - 14 t) - 32/7 sin(20/13 - 13 t) - 23/17 sin(3/2 - 11 t) - 25/6 sin(23/15 - 10 t) - 17/13 sin(26/17 - 9 t) - 7/6 sin(3/2 - 8 t) - 39/11 sin(20/13 - 7 t) - 63/32 sin(3/2 - 6 t) - 127/15 sin(14/9 - 5 t) + 895/32 sin(t + 11/7) + 223/9 sin(2 t + 11/7) + 59/9 sin(3 t + 8/5) + 16/11 sin(4 t + 11/7) + 31/11 sin(12 t + 11/7) + 1/17 sin(15 t + 41/13) + 5/4 sin(16 t + 11/7) + 9/17 sin(23 t + 11/7) + 2/11 sin(24 t + 14/3) + 1/5 sin(26 t + 19/11) + 3/5 sin(27 t + 17/10) + 9/13 sin(30 t + 13/8) + 3/10 sin(31 t + 47/10) + 2/5 sin(32 t + 18/11) + 1/43 sin(35 t + 10/11) + 1/9 sin(41 t + 23/15) - 112/3) θ(63 π - t) θ(t - 59 π) + (-1/9 sin(14/9 - 31 t) - 3/13 sin(14/9 - 27 t) - 1/30 sin(29/19 - 23 t) - 1/16 sin(3/2 - 21 t) - 7/3 sin(14/9 - 9 t) - 1/10 sin(14/11 - 3 t) + 8 sin(t + 11/7) + 261/8 sin(2 t + 11/7) + 124/15 sin(4 t + 11/7) + 16/7 sin(5 t + 47/10) + 7/9 sin(6 t + 47/10) + 20/7 sin(7 t + 19/12) + 35/11 sin(8 t + 19/12) + 2/9 sin(10 t + 21/13) + 16/11 sin(11 t + 11/7) + 7/11 sin(12 t + 11/7) + 11/21 sin(13 t + 75/16) + 7/15 sin(14 t + 19/12) + 1/54 sin(15 t + 16/7) + 3/7 sin(16 t + 8/5) + 1/5 sin(18 t + 19/12) + 1/42 sin(19 t + 25/17) + 2/7 sin(20 t + 13/8) + 1/5 sin(22 t + 18/11) + 1/7 sin(24 t + 13/8) + 1/7 sin(25 t + 13/8) + 1/7 sin(26 t + 8/5) + 1/8 sin(28 t + 5/3) + 1/5 sin(29 t + 13/8) + 1/9 sin(30 t + 8/5) + 1/18 sin(32 t + 11/7) + 1/43 sin(33 t + 20/11) + 1/10 sin(34 t + 19/12) + 1/16 sin(36 t + 13/8) + 1/51 sin(37 t + 67/15) - 1824/11) θ(59 π - t) θ(t - 55 π) + (-1/15 sin(14/9 - 31 t) - 1/8 sin(7/15 - 11 t) - 3/5 sin(47/48 - 7 t) - 7/12 sin(13/11 - 6 t) - 29/13 sin(6/5 - 3 t) - 277/7 sin(32/21 - 2 t) - 12/7 sin(1/5 - t) + 26/9 sin(4 t + 12/7) + 12/7 sin(5 t + 23/5) + 13/14 sin(8 t + 4/3) + 5/7 sin(9 t + 41/9) + 4/13 sin(10 t + 4/5) + 2/5 sin(12 t + 1) + 5/13 sin(13 t + 31/7) + 1/4 sin(14 t + 8/5) + 1/21 sin(15 t + 30/13) + 1/9 sin(16 t + 15/8) + 5/16 sin(17 t + 61/14) + 1/8 sin(18 t + 2) + 1/44 sin(19 t + 39/11) + 1/15 sin(20 t + 13/8) + 3/14 sin(21 t + 17/4) + 1/9 sin(22 t + 143/71) + 1/11 sin(23 t + 37/9) + 1/12 sin(24 t + 45/23) + 1/7 sin(25 t + 22/5) + 1/13 sin(26 t + 22/13) + 1/12 sin(27 t + 21/5) + 1/12 sin(28 t + 20/11) + 1/11 sin(29 t + 51/11) + 1/13 sin(30 t + 29/19) + 1/16 sin(32 t + 17/9) + 1/20 sin(33 t + 31/7) + 307/6) θ(55 π - t) θ(t - 51 π) + (-1/9 sin(5/11 - 26 t) - 3/5 sin(5/4 - 18 t) - 4/11 sin(4/5 - 16 t) - 8/9 sin(4/15 - 14 t) - 19/6 sin(7/10 - 6 t) + 11/10 sin(5 t) + 314/19 sin(t + 53/27) + 232/13 sin(2 t + 209/52) + 67/7 sin(3 t + 18/5) + 20/9 sin(4 t + 13/5) + 23/10 sin(7 t + 21/11) + 6/7 sin(8 t + 31/10) + 8/9 sin(9 t + 3) + 2/9 sin(10 t + 60/13) + 1/6 sin(11 t + 38/9) + 6/11 sin(12 t + 15/8) + 4/13 sin(13 t + 16/17) + 4/7 sin(15 t + 15/8) + 2/5 sin(17 t + 26/9) + 1/73 sin(19 t + 9/5) + 1/5 sin(20 t + 7/2) + 1/6 sin(21 t + 17/18) + 1/8 sin(22 t + 205/68) + 1/8 sin(23 t + 9/7) + 1/5 sin(24 t + 58/23) + 1/16 sin(25 t + 83/21) + 1/30 sin(27 t + 5/7) + 1/5 sin(28 t + 3/8) - 31) θ(51 π - t) θ(t - 47 π) + (-1/27 sin(3/13 - 24 t) - 1/17 sin(4/3 - 23 t) - 1/6 sin(1/10 - 22 t) - 2/5 sin(13/14 - 14 t) - 3/14 sin(1/9 - 9 t) - 31/9 sin(1/4 - 4 t) + 661/11 sin(t + 4/5) + 81/7 sin(2 t + 11/5) + 49/9 sin(3 t + 3/7) + 23/13 sin(5 t + 111/28) + 6/5 sin(6 t + 15/7) + 1/18 sin(7 t + 40/13) + 9/17 sin(8 t + 13/11) + 2/5 sin(10 t + 10/19) + 3/10 sin(11 t + 19/6) + 5/16 sin(12 t + 7/5) + 3/8 sin(13 t + 5/16) + 3/13 sin(15 t + 41/9) + 1/8 sin(17 t + 7/11) + 1/20 sin(18 t + 55/12) + 2/13 sin(19 t + 47/11) + 1/10 sin(20 t + 19/8) + 1/21 sin(21 t + 29/10) + 797/8) θ(47 π - t) θ(t - 43 π) + (-1/21 sin(7/9 - 27 t) - 2/9 sin(18/13 - 19 t) - 3/8 sin(11/8 - 13 t) - 4/9 sin(1/23 - 12 t) - 16/9 sin(1 - 7 t) - 22/13 sin(1/5 - 5 t) + 226/7 sin(t + 19/9) + 153/19 sin(2 t + 27/11) + 62/11 sin(3 t + 21/5) + 58/13 sin(4 t + 41/20) + 6/7 sin(6 t + 5/13) + 2/5 sin(8 t + 133/33) + 6/7 sin(9 t + 34/11) + 3/4 sin(10 t + 14/11) + 2/7 sin(11 t + 8/7) + 3/11 sin(14 t + 43/12) + 1/13 sin(15 t + 18/5) + 4/11 sin(16 t + 19/9) + 1/4 sin(17 t + 1/12) + 1/9 sin(18 t + 8/5) + 1/41 sin(20 t + 4/3) + 1/6 sin(21 t + 29/7) + 1/7 sin(22 t + 8/7) + 1/18 sin(23 t + 17/4) + 1/10 sin(24 t + 27/28) + 1/62 sin(25 t + 2/5) + 1/27 sin(26 t + 4/9) + 404/5) θ(43 π - t) θ(t - 39 π) + (-1/93 sin(4/5 - 23 t) - 1/13 sin(11/8 - 16 t) - 1/6 sin(1/18 - 9 t) - 4/7 sin(1/12 - 6 t) - sin(7/11 - 3 t) + 153/10 sin(t + 42/11) + 18/13 sin(2 t + 48/11) + 13/14 sin(4 t + 21/11) + 47/48 sin(5 t + 59/15) + 1/26 sin(7 t + 51/14) + 1/3 sin(8 t + 23/6) + 1/5 sin(10 t + 3/11) + 1/5 sin(11 t + 19/5) + 1/10 sin(12 t + 1/5) + 1/11 sin(13 t + 22/5) + 1/11 sin(14 t + 50/49) + 1/9 sin(15 t + 33/10) + 1/64 sin(17 t + 11/15) + 1/11 sin(18 t + 16/11) + 1/12 sin(19 t + 9/2) + 1/13 sin(20 t + 9/17) + 1/44 sin(21 t + 38/9) + 1/24 sin(24 t + 5/12) - 209/5) θ(39 π - t) θ(t - 35 π) + (-1/82 sin(35/34 - 26 t) - 1/34 sin(10/21 - 24 t) - 1/57 sin(4/11 - 22 t) - 1/36 sin(10/7 - 15 t) + 56/3 sin(t + 10/11) + 9/11 sin(2 t + 60/17) + 4/13 sin(3 t + 30/7) + 1/4 sin(4 t + 37/18) + 7/13 sin(5 t + 13/8) + 3/11 sin(6 t + 9/2) + 2/9 sin(7 t + 1/4) + 1/14 sin(8 t + 209/52) + 1/26 sin(9 t + 50/13) + 1/14 sin(10 t + 20/19) + 1/50 sin(11 t + 2/5) + 1/16 sin(12 t + 27/8) + 1/48 sin(13 t + 6/11) + 1/41 sin(14 t + 35/23) + 1/76 sin(17 t + 105/52) + 1/45 sin(20 t + 1/4) + 1/33 sin(21 t + 17/5) + 1/51 sin(23 t + 22/9) + 1/71 sin(25 t + 7/5) + 1/52 sin(27 t + 42/13) - 32/5) θ(35 π - t) θ(t - 31 π) + (-1/34 sin(1/2 - 26 t) - 1/35 sin(5/8 - 24 t) - 1/37 sin(2/3 - 22 t) - 1/38 sin(8/11 - 20 t) - 1/41 sin(2/3 - 18 t) - 1/46 sin(5/9 - 16 t) - 1/26 sin(1/6 - 14 t) - 1/18 sin(1/7 - 12 t) - 1/20 sin(2/9 - 10 t) - 32/7 sin(1/6 - t) + 1/6 sin(2 t + 41/10) + 1/4 sin(3 t + 1/5) + 1/4 sin(4 t + 3/8) + 1/7 sin(5 t + 37/14) + 1/7 sin(6 t + 3/13) + 1/8 sin(7 t + 10/3) + 1/18 sin(8 t + 1/3) + 1/14 sin(9 t + 32/9) + 1/20 sin(11 t + 19/6) + 1/25 sin(13 t + 17/6) + 1/37 sin(15 t + 31/12) + 1/41 sin(17 t + 52/21) + 1/43 sin(19 t + 23/9) + 1/38 sin(21 t + 27/11) + 1/37 sin(23 t + 42/17) + 1/34 sin(25 t + 18/7) - 33/10) θ(31 π - t) θ(t - 27 π) + (-1/39 sin(5/14 - 26 t) - 1/34 sin(5/12 - 24 t) - 1/32 sin(4/9 - 22 t) - 1/32 sin(7/12 - 20 t) - 1/35 sin(3/4 - 18 t) - 1/35 sin(11/12 - 16 t) - 1/26 sin(5/8 - 14 t) - 1/21 sin(4/13 - 12 t) - 1/3 sin(1/30 - 3 t) - 1/10 sin(1/2 - 2 t) - 37/10 sin(1/13 - t) + 1/6 sin(4 t + 2/7) + 1/7 sin(5 t + 43/14) + 1/8 sin(6 t + 2/11) + 1/7 sin(7 t + 27/8) + 1/24 sin(8 t + 4/13) + 1/13 sin(9 t + 23/7) + 1/24 sin(10 t + 1/9) + 1/33 sin(11 t + 31/12) + 1/43 sin(13 t + 13/5) + 1/35 sin(15 t + 23/9) + 1/37 sin(17 t + 17/7) + 1/32 sin(19 t + 13/5) + 1/29 sin(21 t + 8/3) + 1/32 sin(23 t + 35/13) + 1/37 sin(25 t + 14/5) - 296/7) θ(27 π - t) θ(t - 23 π) + (-1/55 sin(5/8 - 28 t) - 1/74 sin(1/6 - 26 t) - 1/72 sin(1/27 - 24 t) - 1/32 sin(4/9 - 22 t) - 1/26 sin(10/19 - 20 t) - 1/26 sin(1/9 - 16 t) - 1/21 sin(10/7 - 14 t) - 1/80 sin(26/17 - 12 t) - 1/9 sin(17/14 - 4 t) - 11/17 sin(8/7 - 2 t) + (68 sin(t))/7 + 3/7 sin(3 t + 9/11) + 3/10 sin(5 t + 31/8) + 1/4 sin(6 t + 37/12) + 1/6 sin(7 t + 43/10) + 1/20 sin(8 t + 29/8) + 1/18 sin(9 t + 25/11) + 1/16 sin(10 t + 1/3) + 1/20 sin(11 t + 37/8) + 1/12 sin(13 t + 43/10) + 1/39 sin(15 t + 24/7) + 1/37 sin(17 t + 29/8) + 1/26 sin(18 t + 9/13) + 1/62 sin(21 t + 36/11) + 1/65 sin(23 t + 86/29) + 1/51 sin(25 t + 19/7) + 1/51 sin(27 t + 32/13) - 283/7) θ(23 π - t) θ(t - 19 π) + (-1/77 sin(1/8 - 22 t) - 1/26 sin(7/9 - 20 t) - 1/38 sin(11/10 - 18 t) - 1/20 sin(3/14 - 13 t) - 1/21 sin(65/64 - 11 t) - 1/25 sin(9/8 - 9 t) - 7/8 sin(6/17 - 3 t) - 166/15 sin(2/5 - t) + 3/10 sin(2 t + 277/69) + 1/10 sin(4 t + 29/13) + 2/9 sin(5 t + 2/5) + 1/6 sin(6 t + 5/4) + 1/41 sin(7 t + 18/11) + 1/41 sin(8 t + 17/8) + 1/15 sin(10 t + 11/5) + 1/12 sin(12 t + 31/10) + 1/37 sin(14 t + 31/7) + 1/50 sin(15 t + 5/12) + 1/28 sin(16 t + 365/91) + 1/31 sin(17 t + 13/9) + 1/38 sin(19 t + 9/4) + 1/53 sin(21 t + 16/7) + 1/43 sin(23 t + 41/15) + 1/48 sin(24 t + 1/4) - 17/13) θ(19 π - t) θ(t - 15 π) + (-1/7 sin(1/4 - 25 t) - 1/4 sin(19/14 - 24 t) - 4/15 sin(14/11 - 7 t) - 10/9 sin(1 - 6 t) - 42/13 sin(16/13 - 2 t) - 841/40 sin(46/47 - t) + 142/11 sin(3 t + 17/8) + 25/7 sin(4 t + 25/6) + 18/7 sin(5 t + 36/35) + 26/11 sin(8 t + 34/9) + 8/9 sin(9 t + 57/23) + 17/7 sin(10 t + 67/15) + 4/3 sin(11 t + 31/10) + 7/10 sin(12 t + 12/5) + 30/29 sin(13 t + 11/10) + 4/13 sin(14 t + 32/13) + 13/14 sin(15 t + 49/24) + 5/7 sin(16 t + 25/17) + 1/11 sin(17 t + 9/11) + 1/11 sin(18 t + 16/7) + 5/16 sin(19 t + 21/8) + 2/11 sin(20 t + 27/14) + 1/8 sin(21 t + 3/5) + 7/12 sin(22 t + 35/9) + 5/14 sin(23 t + 8/5) + 1/32 sin(26 t + 23/7) - 1774/17) θ(15 π - t) θ(t - 11 π) + (-1/7 sin(19/14 - 31 t) - 1/7 sin(38/39 - 29 t) - 1/18 sin(37/25 - 28 t) - 2/9 sin(17/14 - 20 t) - 7/20 sin(5/8 - 19 t) - 4/5 sin(6/11 - 10 t) - 14/9 sin(1/4 - 5 t) - 6/5 sin(25/19 - 4 t) + 152/9 sin(t + 43/10) + 1403/39 sin(2 t + 8/3) + 65/9 sin(3 t + 50/11) + 51/25 sin(6 t + 37/9) + 53/26 sin(7 t + 3/4) + 17/10 sin(8 t + 19/11) + 11/12 sin(9 t + 7/5) + 1/5 sin(11 t + 50/11) + 43/42 sin(12 t + 61/14) + 2/3 sin(13 t + 58/13) + 1/5 sin(14 t + 11/5) + 4/13 sin(15 t + 21/8) + 2/5 sin(16 t + 7/5) + 6/13 sin(17 t + 11/10) + 2/7 sin(18 t + 21/11) + 2/7 sin(21 t + 32/7) + 1/3 sin(22 t + 59/14) + 1/12 sin(23 t + 16/9) + 3/14 sin(24 t + 11/5) + 1/7 sin(25 t + 13/9) + 1/8 sin(26 t + 18/17) + 1/11 sin(27 t + 15/7) + 1/42 sin(30 t + 4/9) + 1/43 sin(32 t + 21/11) + 1/32 sin(33 t + 19/14) + 1/7 sin(34 t + 8/3) + 1/15 sin(35 t + 4/11) - 394/11) θ(11 π - t) θ(t - 7 π) + (-1/29 sin(3/2 - 10 t) + 107/6 sin(t + 13/11) + 20/11 sin(2 t + 33/8) + 4/13 sin(3 t + 14/15) + 6/11 sin(4 t + 50/13) + 4/15 sin(5 t + 13/10) + 1/5 sin(6 t + 45/11) + 1/8 sin(7 t + 20/19) + 1/11 sin(8 t + 42/11) + 1/9 sin(9 t + 1) + 1/14 sin(11 t + 2/9) + 1/10 sin(12 t + 38/9) + 1/28 sin(13 t + 7/5) + 1/19 sin(14 t + 27/7) + 1/15 sin(15 t + 1) + 1/19 sin(16 t + 33/7) + 1/28 sin(17 t + 4/9) + 1/22 sin(18 t + 31/7) + 136/11) θ(7 π - t) θ(t - 3 π) + (-1/40 sin(17/11 - 12 t) - 1/9 sin(1/17 - 10 t) - 1/8 sin(8/15 - 8 t) - 2/13 sin(4/11 - 5 t) - 505/22 sin(3/11 - t) + 7/5 sin(2 t + 2/5) + 4/9 sin(3 t + 1/4) + 1/4 sin(4 t + 41/11) + 1/39 sin(6 t + 8/5) + 1/31 sin(7 t + 9/8) + 1/10 sin(9 t + 9/7) + 1/12 sin(11 t + 11/4) + 1/22 sin(13 t + 21/5) + 1/15 sin(14 t + 3/8) + 1/11 sin(15 t + 47/16) + 1/13 sin(16 t + 5/6) - 246/11) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-1/49 sin(3/2 - 35 t) - 1/8 sin(17/11 - 19 t) - 1/9 sin(14/9 - 17 t) - 1/38 sin(37/25 - 15 t) - 7/6 sin(11/7 - 9 t) - 47/9 sin(11/7 - 5 t) + 77/5 sin(t + 33/7) + 91/10 sin(2 t + 33/7) + 63/13 sin(3 t + 33/7) + 16/5 sin(4 t + 11/7) + 19/8 sin(6 t + 11/7) + 11/8 sin(7 t + 11/7) + 18/19 sin(8 t + 14/9) + 5/9 sin(10 t + 8/5) + 2/9 sin(11 t + 33/7) + 9/19 sin(12 t + 11/7) + 1/14 sin(13 t + 5/4) + 3/5 sin(14 t + 19/12) + 1/15 sin(16 t + 23/5) + 1/8 sin(18 t + 18/11) + 2/9 sin(20 t + 14/9) + 1/22 sin(21 t + 11/8) + 1/20 sin(22 t + 11/7) + 1/4 sin(23 t + 47/10) + 1/28 sin(24 t + 12/7) + 1/9 sin(26 t + 17/11) + 1/15 sin(27 t + 3/2) + 1/7 sin(28 t + 11/7) + 1/13 sin(29 t + 60/13) + 1/10 sin(30 t + 47/10) + 1/17 sin(31 t + 13/8) + 1/11 sin(32 t + 3/2) + 1/70 sin(33 t + 15/11) + 1/10 sin(34 t + 23/15) - 176/9) θ(103 π - t) θ(t - 99 π) + (-1/50 sin(3/2 - 34 t) - 1/31 sin(18/13 - 33 t) - 1/16 sin(13/9 - 31 t) - 1/60 sin(21/16 - 30 t) - 1/16 sin(3/2 - 27 t) - 1/9 sin(34/23 - 24 t) - 1/16 sin(3/2 - 23 t) - 1/39 sin(3/2 - 21 t) - 1/16 sin(3/2 - 20 t) - 1/7 sin(34/23 - 17 t) - 1/12 sin(23/15 - 16 t) - 1/5 sin(20/13 - 14 t) - 1/13 sin(14/9 - 13 t) - 6/13 sin(20/13 - 10 t) - 5/8 sin(14/9 - 7 t) - 80/27 sin(14/9 - 3 t) + 363/28 sin(t + 11/7) + 148/13 sin(2 t + 11/7) + 1/3 sin(4 t + 8/5) + 23/12 sin(5 t + 19/12) + 1/13 sin(6 t + 19/12) + 1/3 sin(8 t + 8/5) + 7/15 sin(9 t + 8/5) + 1/8 sin(11 t + 18/11) + 1/6 sin(12 t + 8/5) + 2/9 sin(15 t + 8/5) + 1/77 sin(18 t + 17/8) + 1/12 sin(19 t + 8/5) + 1/11 sin(22 t + 5/3) + 1/20 sin(25 t + 5/3) + 1/37 sin(28 t + 5/3) + 1/35 sin(29 t + 7/4) + 1/15 sin(32 t + 12/7) + 1/40 sin(35 t + 12/7) + 812/11) θ(99 π - t) θ(t - 95 π) + (-1/17 sin(1/23 - 26 t) - 1/5 sin(4/11 - 14 t) + 237/11 sin(t + 11/7) + 501/17 sin(2 t + 61/13) + 52/9 sin(3 t + 11/7) + 137/12 sin(4 t + 25/17) + 124/15 sin(5 t + 10/7) + 55/7 sin(6 t + 16/11) + 29/28 sin(7 t + 50/11) + 67/15 sin(8 t + 32/7) + 29/19 sin(9 t + 18/11) + 22/7 sin(10 t + 79/17) + 38/37 sin(11 t + 12/7) + 15/7 sin(12 t + 23/5) + 4/9 sin(13 t + 25/13) + 13/6 sin(15 t + 13/10) + 3/5 sin(16 t + 8/7) + 1/2 sin(17 t + 22/5) + 2/9 sin(18 t + 12/7) + 9/14 sin(19 t + 40/9) + 2/11 sin(20 t + 25/17) + 1/4 sin(21 t + 9/2) + 4/13 sin(22 t + 4) + 5/12 sin(23 t + 35/8) + 6/13 sin(24 t + 8/7) + 4/11 sin(25 t + 1) + 1/14 sin(27 t + 5/3) + 1/7 sin(28 t + 49/12) + 3/11 sin(29 t + 43/10) + 4991/48) θ(95 π - t) θ(t - 91 π) + (-1/56 sin(25/17 - 15 t) - 1/8 sin(3/2 - 13 t) - 1/6 sin(25/17 - 11 t) - 1/6 sin(17/11 - 9 t) - 2/11 sin(14/9 - 7 t) + 1133/17 sin(t + 11/7) + 53/16 sin(2 t + 11/7) + 35/9 sin(3 t + 11/7) + 26/11 sin(4 t + 11/7) + 1/7 sin(5 t + 11/7) + 3/2 sin(6 t + 11/7) + 25/26 sin(8 t + 11/7) + 9/13 sin(10 t + 11/7) + 10/21 sin(12 t + 11/7) + 3/10 sin(14 t + 11/7) + 1/8 sin(16 t + 17/11) + 1/13 sin(17 t + 19/12) + 1/20 sin(18 t + 19/14) + 1/11 sin(19 t + 14/9) + 1/23 sin(20 t + 3/2) + 1/16 sin(21 t + 17/11) + 1/14 sin(22 t + 11/7) + 1/36 sin(23 t + 19/12) + 1/12 sin(24 t + 11/7) + 1/49 sin(25 t + 18/13) + 1/13 sin(26 t + 19/12) + 1/42 sin(27 t + 23/14) + 1/16 sin(28 t + 11/7) + 1/31 sin(29 t + 11/7) + 1/27 sin(30 t + 14/9) - 523/18) θ(91 π - t) θ(t - 87 π) + (-1/17 sin(1/8 - 32 t) - 1/8 sin(8/9 - 23 t) - 1/14 sin(4/3 - 11 t) - 8/9 sin(8/11 - 10 t) - 25/4 sin(23/15 - 8 t) + 116/11 sin(t + 14/9) + 115/9 sin(2 t + 14/9) + 7/2 sin(3 t + 3/2) + 91/18 sin(4 t + 3/2) + 1/9 sin(5 t + 6/17) + sin(6 t + 20/11) + 52/9 sin(7 t + 14/3) + 171/10 sin(9 t + 17/11) + 22/9 sin(12 t + 77/17) + 22/15 sin(13 t + 22/5) + 30/11 sin(14 t + 50/11) + 5/3 sin(15 t + 48/11) + 52/17 sin(16 t + 41/9) + 36/35 sin(17 t + 17/4) + 7/8 sin(18 t + 69/16) + sin(19 t + 49/11) + 2/11 sin(20 t + 13/6) + 2/5 sin(21 t + 50/11) + 3/10 sin(22 t + 5/3) + 5/8 sin(24 t + 19/11) + 7/6 sin(25 t + 85/19) + 7/4 sin(26 t + 86/19) + 3/7 sin(27 t + 21/10) + 2/7 sin(28 t + 9/2) + 1/6 sin(29 t + 47/11) + 2/9 sin(30 t + 67/17) + 1/5 sin(31 t + 7/5) + 5/13 sin(33 t + 22/15) - 742/9) θ(87 π - t) θ(t - 83 π) + (-1/8 sin(14/9 - 15 t) - 3/11 sin(25/17 - 11 t) - 1/9 sin(10/7 - 10 t) + 98/9 sin(t + 33/7) + 57/14 sin(2 t + 11/7) + 57/11 sin(3 t + 11/7) + 71/9 sin(4 t + 11/7) + 44/9 sin(5 t + 11/7) + 16/13 sin(6 t + 8/5) + 38/39 sin(7 t + 8/5) + 26/7 sin(8 t + 11/7) + 5/7 sin(9 t + 47/10) + 2/7 sin(12 t + 13/8) + 1/3 sin(13 t + 25/17) + 3/5 sin(14 t + 33/7) + 16/15 sin(16 t + 11/7) + 2/9 sin(17 t + 37/8) + 3/14 sin(18 t + 29/19) + 1/16 sin(19 t + 23/5) + 5/12 sin(20 t + 21/13) + 2/5 sin(21 t + 14/9) + 1/4 sin(22 t + 51/11) + 1/21 sin(23 t + 13/9) + 2/11 sin(24 t + 13/8) + 1/91 sin(25 t + 19/7) + 2/9 sin(26 t + 17/11) + 2/7 sin(27 t + 14/3) + 1/5 sin(28 t + 19/12) + 1/19 sin(29 t + 5/3) + 1/13 sin(30 t + 23/5) + 1/12 sin(31 t + 31/21) + 1/28 sin(32 t + 31/16) - 1027/8) θ(83 π - t) θ(t - 79 π) + (-1/58 sin(18/13 - 35 t) - 3/7 sin(3/2 - 29 t) - 1/78 sin(14/11 - 28 t) - 1/12 sin(7/6 - 27 t) - 1/71 sin(12/11 - 19 t) - 35/23 sin(11/7 - 13 t) - 8/9 sin(17/11 - 6 t) - 34/7 sin(11/7 - 4 t) - 68/13 sin(14/9 - 3 t) - 127/5 sin(11/7 - 2 t) - 499/20 sin(11/7 - t) + 8/3 sin(5 t + 11/7) + 6/13 sin(7 t + 55/12) + 329/33 sin(8 t + 11/7) + 23/17 sin(9 t + 13/8) + 2/9 sin(10 t + 13/3) + 1/2 sin(11 t + 17/11) + 1/6 sin(12 t + 112/25) + 5/14 sin(14 t + 11/7) + 3/5 sin(15 t + 75/16) + 21/11 sin(16 t + 14/9) + 1/5 sin(17 t + 19/12) + 1/4 sin(18 t + 12/7) + 1/9 sin(20 t + 35/8) + 1/5 sin(21 t + 51/11) + 8/15 sin(22 t + 5/3) + 1/6 sin(23 t + 13/3) + 15/13 sin(24 t + 11/7) + 1/96 sin(25 t + 48/19) + 1/13 sin(26 t + 23/5) + 1/11 sin(30 t + 9/5) + 1/7 sin(31 t + 50/11) + 11/16 sin(32 t + 11/7) + 1/16 sin(33 t + 19/8) + 1/25 sin(34 t + 34/9) - 243/4) θ(79 π - t) θ(t - 75 π) + (-1/31 sin(13/9 - 32 t) - 1/47 sin(9/8 - 24 t) - 1/9 sin(38/25 - 22 t) - 1/10 sin(17/11 - 16 t) - 3/7 sin(23/15 - 14 t) - 1/8 sin(13/9 - 9 t) - 43/12 sin(14/9 - 4 t) - 133/8 sin(11/7 - t) + 209/12 sin(2 t + 11/7) + 22 sin(3 t + 11/7) + 56/9 sin(5 t + 11/7) + 33/14 sin(6 t + 33/7) + 5/6 sin(7 t + 8/5) + 9/7 sin(8 t + 11/7) + 9/10 sin(10 t + 11/7) + 4/9 sin(11 t + 14/9) + 1/50 sin(12 t + 87/44) + 24/25 sin(13 t + 11/7) + 5/12 sin(15 t + 21/13) + 2/9 sin(17 t + 32/21) + 6/13 sin(18 t + 14/9) + 1/13 sin(19 t + 13/9) + 1/16 sin(20 t + 5/3) + 1/16 sin(21 t + 13/8) + 3/8 sin(23 t + 14/9) + 1/10 sin(25 t + 14/9) + 1/35 sin(27 t + 7/5) + 1/5 sin(28 t + 14/9) + 1/22 sin(29 t + 26/17) + 1/15 sin(30 t + 14/3) + 1/19 sin(31 t + 11/7) + 3/13 sin(33 t + 17/11) + 1/83 sin(36 t + 32/7) - 329/17) θ(75 π - t) θ(t - 71 π) + (-2/9 sin(1 - 30 t) - 2/7 sin(4/3 - 25 t) - 1/5 sin(14/9 - 23 t) - 3/7 sin(14/11 - 19 t) - 1/5 sin(5/4 - 16 t) - 2/9 sin(3/2 - 13 t) - 2/7 sin(7/9 - 10 t) - 29/12 sin(20/13 - 7 t) - 70/11 sin(3/2 - 5 t) - 99/50 sin(14/9 - t) + 1/42 sin(28 t) + 66/5 sin(2 t + 8/5) + 119/6 sin(3 t + 18/11) + 2/11 sin(4 t + 7/8) + 49/12 sin(6 t + 18/11) + 43/13 sin(8 t + 5/3) + 1/5 sin(9 t + 25/7) + 4/11 sin(11 t + 32/7) + 7/9 sin(12 t + 19/11) + 1/8 sin(14 t + 19/11) + 4/11 sin(15 t + 15/8) + 3/8 sin(17 t + 27/14) + 1/11 sin(18 t + 27/16) + 1/3 sin(20 t + 9/5) + 1/7 sin(21 t + 32/7) + 3/10 sin(22 t + 19/11) + 1/10 sin(24 t + 7/8) + 3/10 sin(26 t + 21/11) + 1/16 sin(27 t + 23/8) + 1/59 sin(29 t + 21/11) + 1/9 sin(31 t + 23/11) - 238/11) θ(71 π - t) θ(t - 67 π) + (-1/15 sin(39/40 - 33 t) + 285/14 sin(t + 11/7) + 146/5 sin(2 t + 11/7) + 275/12 sin(3 t + 33/7) + 56/9 sin(4 t + 13/8) + 455/19 sin(5 t + 47/10) + 26/9 sin(6 t + 37/8) + 27/26 sin(7 t + 11/7) + 14/5 sin(8 t + 13/8) + 31/5 sin(9 t + 47/10) + 8/11 sin(10 t + 56/13) + 11/3 sin(11 t + 75/16) + 13/8 sin(12 t + 32/7) + 19/9 sin(13 t + 61/13) + 17/18 sin(14 t + 23/5) + 3/5 sin(15 t + 20/13) + 37/16 sin(16 t + 14/9) + 9/13 sin(17 t + 47/10) + 1/6 sin(18 t + 13/3) + 3/5 sin(19 t + 23/5) + 7/11 sin(20 t + 55/12) + 17/10 sin(21 t + 51/11) + 1/20 sin(22 t + 31/9) + 1/12 sin(23 t + 4) + 1/6 sin(24 t + 17/10) + 2/11 sin(25 t + 5/3) + 2/13 sin(26 t + 11/7) + 5/14 sin(27 t + 47/10) + 1/6 sin(28 t + 37/8) + 4/7 sin(29 t + 79/17) + 1/8 sin(30 t + 8/5) + 2/11 sin(31 t + 13/9) + 5/12 sin(32 t + 38/25) + 2/5 sin(34 t + 14/9) + 3/11 sin(35 t + 50/11) + 9/14 sin(36 t + 50/11) - 367/11) θ(67 π - t) θ(t - 63 π) + (-1/40 sin(17/13 - 41 t) - 1/8 sin(13/9 - 40 t) - 3/8 sin(25/17 - 19 t) - 3/11 sin(14/9 - 18 t) - 4/7 sin(13/9 - 16 t) - 9/8 sin(3/2 - 15 t) - 13/10 sin(16/11 - 14 t) - 2 sin(26/17 - 13 t) - 36/11 sin(14/9 - 11 t) - 17/8 sin(23/15 - 8 t) - 19/6 sin(14/9 - 7 t) - 1738/37 sin(11/7 - t) + 245/16 sin(2 t + 11/7) + 179/20 sin(3 t + 8/5) + 106/9 sin(4 t + 19/12) + 10/13 sin(5 t + 17/10) + 5/8 sin(6 t + 23/14) + 10/3 sin(9 t + 8/5) + sin(10 t + 19/12) + 13/5 sin(12 t + 19/12) + 4/11 sin(17 t + 11/7) + 2/7 sin(20 t + 19/11) + 4/7 sin(21 t + 8/5) + 1/10 sin(22 t + 45/22) + 11/16 sin(23 t + 5/3) + 4/13 sin(24 t + 23/5) + 3/8 sin(25 t + 17/10) + 1/2 sin(26 t + 23/14) + 1/14 sin(27 t + 14/3) + 1/5 sin(28 t + 18/11) + 2/7 sin(29 t + 47/10) + 2/5 sin(30 t + 27/16) + 2/7 sin(31 t + 7/4) + 1/53 sin(32 t + 26/17) + 1/9 sin(33 t + 14/3) + 4/9 sin(34 t + 5/3) + 1/16 sin(35 t + 35/8) + 2/11 sin(36 t + 5/3) + 1/23 sin(37 t + 63/32) + 1/6 sin(39 t + 5/3) + 1/8 sin(42 t + 7/4) + 445/9) θ(63 π - t) θ(t - 59 π) + (-1/8 sin(14/9 - 29 t) - 1/7 sin(14/9 - 28 t) - 21/13 sin(11/7 - 11 t) - 42/5 sin(11/7 - t) + 222/11 sin(2 t + 11/7) + 7/13 sin(3 t + 14/9) + 14/3 sin(4 t + 11/7) + 15/7 sin(5 t + 19/12) + 10/9 sin(6 t + 47/10) + 23/8 sin(7 t + 33/7) + 37/13 sin(8 t + 11/7) + 58/23 sin(9 t + 11/7) + 3/4 sin(10 t + 33/7) + 8/9 sin(12 t + 11/7) + 4/7 sin(13 t + 19/12) + 1/5 sin(14 t + 8/5) + 1/12 sin(15 t + 16/9) + 1/18 sin(16 t + 26/17) + 1/9 sin(17 t + 47/10) + 1/7 sin(18 t + 21/13) + 1/9 sin(19 t + 17/11) + 2/11 sin(20 t + 21/13) + 1/26 sin(21 t + 79/17) + 1/67 sin(22 t + 121/60) + 1/10 sin(23 t + 14/9) + 1/13 sin(25 t + 47/10) + 1/5 sin(26 t + 8/5) + 1/6 sin(27 t + 21/13) + 1/7 sin(30 t + 18/11) + 1/15 sin(31 t + 21/13) + 1/25 sin(32 t + 26/17) + 1/56 sin(33 t + 19/11) + 1/52 sin(34 t + 3/2) + 1/41 sin(35 t + 11/6) + 1/20 sin(36 t + 32/19) + 2/7) θ(59 π - t) θ(t - 55 π) + (-1/12 sin(13/9 - 32 t) - 1/8 sin(14/11 - 28 t) - 3/13 sin(7/5 - 20 t) - 5/12 sin(19/14 - 16 t) - 55/28 sin(29/19 - 8 t) - 4/7 sin(3/4 - 6 t) - 652/93 sin(29/19 - 4 t) - 128/7 sin(1/5 - 2 t) - 266/17 sin(1/8 - t) + 94/7 sin(3 t + 9/10) + 14/5 sin(5 t + 12/5) + 14/9 sin(7 t + 26/27) + 5/9 sin(9 t + 21/8) + 1/3 sin(10 t + 5/6) + 7/8 sin(11 t + 9/10) + 4/11 sin(12 t + 61/13) + 5/9 sin(13 t + 8/3) + 2/11 sin(14 t + 31/13) + 2/7 sin(15 t + 11/9) + 1/7 sin(17 t + 14/5) + 1/9 sin(18 t + 13/8) + 1/11 sin(19 t + 9/10) + 2/11 sin(21 t + 11/4) + 1/32 sin(22 t + 12/7) + 1/9 sin(23 t + 1/3) + 1/7 sin(24 t + 51/11) + 1/20 sin(25 t + 7/3) + 1/27 sin(26 t + 9/7) + 1/12 sin(27 t + 1) + 1/9 sin(29 t + 28/11) + 1/21 sin(30 t + 8/5) + 1/11 sin(31 t + 2/3) + 1/9 sin(33 t + 3) - 805/9) θ(55 π - t) θ(t - 51 π) + (-1/15 sin(1/8 - 26 t) - 1/9 sin(1/15 - 24 t) - 8/17 sin(41/42 - 15 t) - 19/12 sin(7/10 - 7 t) - 27/14 sin(3/2 - 5 t) + 171/17 sin(t + 45/11) + 13/6 sin(2 t + 1/25) + 37/11 sin(3 t + 42/11) + 64/11 sin(4 t + 1/8) + 22/9 sin(6 t + 47/11) + 17/10 sin(8 t + 11/4) + 3/7 sin(9 t + 4/11) + 11/7 sin(10 t + 37/11) + 6/17 sin(11 t + 17/7) + 11/10 sin(12 t + 32/33) + 1/4 sin(13 t + 11/3) + 2/5 sin(14 t + 13/8) + 4/13 sin(16 t + 3/4) + 1/13 sin(17 t + 17/13) + 1/4 sin(18 t + 25/7) + 1/6 sin(19 t + 21/5) + 2/11 sin(20 t + 1/6) + 1/16 sin(21 t + 24/11) + 1/19 sin(22 t + 19/8) + 1/14 sin(23 t + 43/12) + 1/8 sin(25 t + 17/12) + 1/83 sin(27 t + 59/13) + 1/10 sin(28 t + 47/11) + 270/13) θ(51 π - t) θ(t - 47 π) + (-1/11 sin(4/13 - 21 t) - 1/5 sin(1/4 - 14 t) - 2/7 sin(23/17 - 11 t) - 1/3 sin(3/11 - 10 t) - 22/21 sin(2/5 - 7 t) - 69/10 sin(13/10 - 3 t) - 289/7 sin(9/13 - t) + 61/6 sin(2 t + 44/43) + 75/11 sin(4 t + 55/13) + 51/25 sin(5 t + 27/13) + 7/4 sin(6 t + 1/9) + 15/11 sin(8 t + 35/9) + sin(9 t + 13/7) + 5/12 sin(12 t + 18/5) + 1/3 sin(13 t + 7/5) + 1/5 sin(15 t + 85/21) + 1/47 sin(17 t + 139/35) + 1/77 sin(18 t + 35/8) + 1/7 sin(19 t + 52/21) + 1/7 sin(20 t + 33/17) + 2/11 sin(22 t + 49/11) + 1/14 sin(23 t + 5/3) + 1/7 sin(24 t + 7/5) + 991/18) θ(47 π - t) θ(t - 43 π) + (-1/33 sin(1/6 - 26 t) - 1/13 sin(3/8 - 22 t) - 3/10 sin(14/9 - 12 t) - 9/14 sin(11/8 - 8 t) - 8/9 sin(1 - 6 t) + 323/11 sin(t + 45/13) + 51/5 sin(2 t + 53/13) + 21/4 sin(3 t + 2/7) + 33/8 sin(4 t + 31/8) + 37/18 sin(5 t + 7/4) + 7/9 sin(7 t + 12/7) + 5/8 sin(9 t + 23/10) + 1/11 sin(10 t + 19/11) + 3/11 sin(11 t + 11/17) + 1/7 sin(13 t + 3/7) + 5/16 sin(14 t + 15/4) + 1/5 sin(15 t + 21/16) + 1/17 sin(16 t + 5/11) + 2/13 sin(17 t + 1/2) + 1/7 sin(18 t + 22/5) + 1/13 sin(19 t + 81/23) + 1/12 sin(20 t + 14/5) + 1/8 sin(21 t + 21/16) + 1/19 sin(23 t + 6/17) + 1/9 sin(24 t + 30/7) + 1/10 sin(25 t + 23/12) + 1/8 sin(27 t + 2/7) + 60) θ(43 π - t) θ(t - 39 π) + (-1/15 sin(6/11 - 21 t) - 1/16 sin(21/20 - 17 t) - 1/12 sin(11/9 - 14 t) - 3/8 sin(5/6 - 7 t) - 1/5 sin(11/8 - 5 t) - 13/9 sin(3/11 - 4 t) - 8/5 sin(13/9 - 3 t) - 140/9 sin(5/8 - t) + 52/11 sin(2 t + 15/4) + 1/3 sin(6 t + 20/9) + 1/31 sin(8 t + 39/11) + 1/8 sin(9 t + 9/8) + 1/8 sin(10 t + 42/11) + 1/13 sin(11 t + 31/7) + 1/11 sin(12 t + 20/9) + 1/7 sin(13 t + 55/12) + 1/18 sin(15 t + 1/6) + 1/16 sin(16 t + 35/9) + 1/9 sin(18 t + 3/4) + 1/24 sin(19 t + 48/11) + 1/25 sin(20 t + 28/9) + 1/33 sin(22 t + 11/8) + 1/30 sin(24 t + 29/11) + 2319/40) θ(39 π - t) θ(t - 35 π) + (-1/45 sin(11/9 - 27 t) - 1/78 sin(1/12 - 19 t) - 1/77 sin(10/11 - 17 t) - 1/15 sin(14/9 - 15 t) - 1/26 sin(1/10 - 14 t) - 1/22 sin(7/5 - 13 t) - 7/10 sin(17/13 - 3 t) - 6/5 sin(19/14 - 2 t) - 53/3 sin(9/14 - t) + 18/19 sin(4 t + 8/17) + 3/11 sin(5 t + 33/13) + 2/9 sin(6 t + 15/11) + 1/4 sin(7 t + 14/3) + 1/5 sin(8 t + 19/11) + 1/10 sin(9 t + 113/25) + 1/18 sin(10 t + 17/12) + 1/25 sin(11 t + 47/10) + 1/17 sin(12 t + 37/16) + 1/36 sin(16 t + 67/33) + 1/43 sin(18 t + 10/7) + 1/38 sin(21 t + 18/7) + 1/45 sin(22 t + 61/31) + 1/29 sin(23 t + 7/2) + 1/38 sin(25 t + 26/7) + 1/38 sin(26 t + 23/10) + 496/9) θ(35 π - t) θ(t - 31 π) + (-1/26 sin(11/10 - 4 t) - 2/11 sin(6/5 - 2 t) + 17/3 sin(t + 14/3) + 1/17 sin(3 t + 43/14) + 1/12 sin(5 t + 5/3) + 1/57 sin(6 t + 16/11) + 1/23 sin(7 t + 13/7) + 1/22 sin(8 t + 3/8) + 1/57 sin(9 t + 41/10) + 1/54 sin(10 t + 6/7) + 1/90 sin(12 t + 3/4) + 1/92 sin(17 t + 33/10) + 227/4) θ(31 π - t) θ(t - 27 π) + (-1/77 sin(1/21 - 26 t) - 1/72 sin(1/59 - 24 t) - 1/33 sin(2/5 - 14 t) - 1/26 sin(2/5 - 12 t) - 1/15 sin(1/65 - 4 t) - 1/11 sin(7/10 - 2 t) + 53/10 sin(t + 14/3) + 1/8 sin(3 t + 34/9) + 1/9 sin(5 t + 15/7) + 1/18 sin(6 t + 4/9) + 1/16 sin(7 t + 11/4) + 1/18 sin(8 t + 8/17) + 1/31 sin(9 t + 43/14) + 1/23 sin(10 t + 4/7) + 1/41 sin(11 t + 19/6) + 1/36 sin(13 t + 32/9) + 1/38 sin(15 t + 29/9) + 1/42 sin(16 t + 1/13) + 1/43 sin(17 t + 33/10) + 1/54 sin(18 t + 2/9) + 1/53 sin(19 t + 33/10) + 1/64 sin(20 t + 2/9) + 1/72 sin(21 t + 22/7) + 1/72 sin(22 t + 1/12) + 1/79 sin(23 t + 40/13) + 1/85 sin(25 t + 22/7) + 811/13) θ(27 π - t) θ(t - 23 π) + (-1/6 sin(1/4 - 7 t) - 1/10 sin(5/16 - 5 t) - 87/7 sin(3/2 - t) + 9/10 sin(2 t + 7/9) + 1/20 sin(3 t + 37/9) + 14/15 sin(4 t + 10/13) + 1/2 sin(6 t + 7/10) + 1/5 sin(8 t + 5/12) + 1/48 sin(9 t + 27/8) + 1/8 sin(10 t + 4/5) + 1/9 sin(11 t + 24/7) + 1/11 sin(12 t + 19/12) + 1/15 sin(13 t + 17/5) + 1/20 sin(14 t + 6/7) + 1/20 sin(15 t + 67/15) + 1/19 sin(16 t + 5/16) + 1/21 sin(17 t + 58/13) + 1/32 sin(18 t + 5/8) + 1/23 sin(19 t + 31/7) + 1/97 sin(20 t + 21/13) + 1/40 sin(21 t + 23/6) + 1/58 sin(22 t + 16/13) + 1/38 sin(23 t + 34/9) + 1/49 sin(24 t + 9/7) + 1/45 sin(25 t + 23/5) + 1/51 sin(27 t + 33/8) + 892/15) θ(23 π - t) θ(t - 19 π) + (-1/41 sin(5/12 - 26 t) - 1/74 sin(2/11 - 24 t) - 1/34 sin(22/15 - 19 t) - 1/42 sin(7/9 - 14 t) - 1/32 sin(9/13 - 11 t) + 103/7 sin(t + 9/2) + 2/9 sin(2 t + 4/5) + 7/10 sin(3 t + 55/13) + 3/14 sin(4 t + 6/13) + 1/7 sin(5 t + 37/9) + 1/16 sin(6 t + 14/11) + 1/12 sin(7 t + 38/9) + 1/10 sin(8 t + 13/7) + 1/31 sin(9 t + 86/19) + 1/13 sin(10 t + 21/16) + 1/40 sin(12 t + 1/2) + 1/63 sin(13 t + 48/11) + 1/26 sin(15 t + 19/5) + 1/31 sin(16 t + 9/8) + 1/30 sin(17 t + 58/13) + 1/49 sin(18 t + 12/7) + 1/52 sin(21 t + 37/9) + 1/43 sin(23 t + 22/7) + 1/62 sin(25 t + 53/16) + 647/12) θ(19 π - t) θ(t - 15 π) + (-1/5 sin(3/4 - 18 t) - 8/17 sin(5/4 - 13 t) - 16/31 sin(6/7 - 12 t) - 22/7 sin(8/9 - 6 t) + 31/2 sin(t + 45/13) + 69/7 sin(2 t + 30/7) + 259/26 sin(3 t + 9/7) + 17/6 sin(4 t + 70/19) + 10/7 sin(5 t + 31/7) + 14/5 sin(7 t + 30/7) + 11/8 sin(8 t + 27/13) + 4/9 sin(9 t + 24/7) + 17/12 sin(10 t + 42/13) + 5/9 sin(11 t + 19/5) + 1/4 sin(14 t + 10/9) + 1/3 sin(15 t + 17/10) + 1/4 sin(16 t + 19/11) + 2/9 sin(17 t + 4/11) + 5/11 sin(19 t + 1/8) + 5/12 sin(20 t + 1/4) + 3/13 sin(21 t + 27/26) + 4/15 sin(22 t + 13/9) + 1/5 sin(23 t + 23/8) + 2/13 sin(24 t + 5/3) + 2/13 sin(25 t + 55/13) + 1/6 sin(26 t + 103/26) + 214/7) θ(15 π - t) θ(t - 11 π) + (-1/44 sin(4/3 - 31 t) - 1/17 sin(10/9 - 30 t) - 1/33 sin(1/4 - 25 t) - 1/6 sin(14/13 - 16 t) - 8/9 sin(4/9 - 9 t) - 9/8 sin(7/13 - 4 t) + 76/7 sin(t + 22/7) + 90/7 sin(2 t + 29/15) + 43/12 sin(3 t + 69/16) + 13/8 sin(5 t + 49/11) + 9/7 sin(6 t + 36/13) + 4/5 sin(7 t + 4/15) + 17/18 sin(8 t + 46/45) + 6/13 sin(10 t + 40/9) + 1/3 sin(11 t + 109/27) + 10/13 sin(12 t + 22/7) + 1/7 sin(13 t + 10/9) + 1/7 sin(14 t + 13/11) + 1/4 sin(15 t + 4/13) + 1/7 sin(17 t + 5/8) + 1/21 sin(18 t + 7/2) + 1/21 sin(19 t + 16/7) + 1/13 sin(20 t + 47/11) + 1/18 sin(21 t + 37/10) + 1/8 sin(22 t + 111/28) + 1/27 sin(23 t + 4/13) + 1/15 sin(24 t + 51/25) + 1/9 sin(27 t + 89/88) + 1/53 sin(28 t + 22/7) + 1/15 sin(29 t + 1/11) + 1/10 sin(32 t + 59/13) + 1/14 sin(33 t + 17/10) + 1/26 sin(34 t + 17/9) + 1/25 sin(35 t + 15/8) + 589/4) θ(11 π - t) θ(t - 7 π) + (-1/73 sin(33/32 - 16 t) - 15/31 sin(10/7 - 6 t) - 1/3 sin(1/25 - 4 t) + 428/33 sin(t + 40/13) + 46/15 sin(2 t + 29/8) + 7/4 sin(3 t + 9/5) + 13/25 sin(5 t + 1/14) + 1/6 sin(7 t + 20/7) + 1/6 sin(8 t + 27/8) + 1/5 sin(9 t + 14/9) + 1/19 sin(10 t + 1/14) + 1/8 sin(11 t + 7/15) + 1/10 sin(12 t + 37/8) + 1/37 sin(13 t + 45/22) + 1/17 sin(14 t + 40/11) + 1/13 sin(15 t + 7/6) + 1/17 sin(17 t + 3/11) + 1/15 sin(18 t + 67/15) + 885/7) θ(7 π - t) θ(t - 3 π) + (-1/34 sin(2/5 - 16 t) - 1/10 sin(1/6 - 9 t) - 2/11 sin(5/11 - 7 t) - 5/13 sin(7/6 - 5 t) - 13/9 sin(23/17 - 3 t) + 492/17 sin(t + 37/8) + 7/9 sin(2 t + 25/9) + 9/19 sin(4 t + 49/25) + 1/12 sin(6 t + 29/11) + 1/11 sin(8 t + 21/10) + 1/15 sin(10 t + 28/17) + 1/20 sin(11 t + 13/25) + 1/15 sin(12 t + 9/11) + 1/13 sin(13 t + 15/13) + 1/57 sin(14 t + 3/13) + 1/12 sin(15 t + 15/11) + 1145/12) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-14/15 sin(17/11 - 12 t) - 23/5 sin(11/7 - 5 t) - 148/7 sin(11/7 - 4 t) + 133/10 sin(t + 47/10) + 703/6 sin(2 t + 11/7) + 113/14 sin(3 t + 11/7) + 67/10 sin(6 t + 11/7) + 7/8 sin(7 t + 47/10) + 1/3 sin(8 t + 14/9) + 20/13 sin(9 t + 47/10) + 197/33 sin(10 t + 19/12) + 7/6 sin(11 t + 13/8) - 4445/4) θ(79 π - t) θ(t - 75 π) + (-2/5 sin(8/7 - 56 t) - 17/11 sin(4/3 - 53 t) - 4/5 sin(15/11 - 52 t) - 9/11 sin(9/7 - 51 t) - 4/7 sin(16/13 - 50 t) - 3/2 sin(13/10 - 48 t) - 9/11 sin(11/9 - 47 t) - 27/7 sin(10/7 - 46 t) - 23/9 sin(16/11 - 44 t) - 161/40 sin(31/21 - 41 t) - 131/29 sin(16/11 - 37 t) - 6/5 sin(13/11 - 36 t) - 41/14 sin(22/15 - 35 t) - 11/9 sin(11/9 - 32 t) - 50/11 sin(16/11 - 31 t) - 9/11 sin(14/11 - 30 t) - 89/22 sin(10/7 - 29 t) - 41/9 sin(7/5 - 28 t) - 43/8 sin(7/5 - 27 t) - 24/5 sin(11/8 - 26 t) - 181/26 sin(10/7 - 25 t) - 60/17 sin(13/9 - 24 t) - 43/6 sin(22/15 - 23 t) - 117/8 sin(3/2 - 22 t) - 48/7 sin(14/9 - 15 t) - 429/14 sin(17/11 - 11 t) - 38/9 sin(3/2 - 8 t) - 35/6 sin(11/7 - 7 t) - 57/8 sin(20/13 - 5 t) - 397/8 sin(14/9 - 3 t) - 79/4 sin(14/9 - 2 t) - 5652/11 sin(11/7 - t) + 77/12 sin(4 t + 26/17) + 37/9 sin(6 t + 20/13) + 85/13 sin(9 t + 13/8) + 21/8 sin(10 t + 17/11) + 363/16 sin(12 t + 8/5) + 45/8 sin(13 t + 5/3) + 178/11 sin(14 t + 8/5) + 20/7 sin(16 t + 17/10) + 37/7 sin(17 t + 7/4) + 59/9 sin(18 t + 18/11) + 17/6 sin(19 t + 61/13) + 257/13 sin(20 t + 23/14) + 141/7 sin(21 t + 23/14) + 4/7 sin(33 t + 7/4) + 9/7 sin(34 t + 25/17) + 11/10 sin(38 t + 11/7) + 7/5 sin(39 t + 33/7) + 15/7 sin(40 t + 18/11) + 43/5 sin(42 t + 19/11) + 13/3 sin(43 t + 16/9) + 45/22 sin(45 t + 19/11) + 1/2 sin(49 t + 11/9) + 1/7 sin(54 t + 3/8) + 1/5 sin(55 t + 11/8) + 62/21) θ(75 π - t) θ(t - 71 π) + (-7/4 sin(14/9 - 11 t) - 148/7 sin(11/7 - 5 t) - 2675/9 sin(11/7 - t) + 2921/10 sin(2 t + 11/7) + 355/7 sin(3 t + 11/7) + 283/8 sin(4 t + 11/7) + 124/9 sin(6 t + 11/7) + 52/7 sin(7 t + 19/12) + 307/17 sin(8 t + 11/7) + 9/11 sin(9 t + 5/3) + 10/3 sin(10 t + 11/7) + 64/11 sin(12 t + 11/7) + 9069/8) θ(71 π - t) θ(t - 67 π) + (-3/4 sin(11/7 - 12 t) - 7/6 sin(11/7 - 11 t) - 30/13 sin(14/9 - 10 t) - 4 sin(14/9 - 9 t) - 61/6 sin(11/7 - 7 t) - 52/9 sin(11/7 - 6 t) - 1/4 sin(17/11 - 5 t) - 95/3 sin(11/7 - 4 t) - 197/6 sin(11/7 - 2 t) - 693/5 sin(11/7 - t) + 73/8 sin(3 t + 11/7) + 1/19 sin(8 t + 16/11) + 20245/12) θ(67 π - t) θ(t - 63 π) + (-57/7 sin(14/9 - 9 t) - 163/5 sin(11/7 - 3 t) + 817/7 sin(t + 11/7) + 1347/10 sin(2 t + 11/7) + 417/8 sin(4 t + 11/7) + 39/7 sin(5 t + 11/7) + 16/11 sin(6 t + 31/21) + 64/7 sin(7 t + 11/7) + 43/4 sin(8 t + 11/7) + 10/7 sin(10 t + 29/19) + 16/3 sin(11 t + 11/7) + 17/5 sin(12 t + 14/9) + 13477/11) θ(63 π - t) θ(t - 59 π) + (-7/11 sin(7/5 - 11 t) - 114/7 sin(20/13 - 9 t) - 19/2 sin(26/17 - 8 t) - 44/7 sin(17/11 - 7 t) - 1113/25 sin(14/9 - 4 t) - 1391/12 sin(14/9 - 3 t) - 983/5 sin(11/7 - 2 t) + 1247/5 sin(t + 11/7) + 159/8 sin(5 t + 11/7) + 13/8 sin(6 t + 11/7) + 2/7 sin(10 t + 1/5) + 25/6 sin(12 t + 14/9) + 5727/8) θ(59 π - t) θ(t - 55 π) + (-61/7 sin(33/34 - 5 t) - 263/9 sin(11/8 - 3 t) + 1819/3 sin(t + 51/11) + 181/5 sin(2 t + 15/14) + 325/12 sin(4 t + 2/3) + 52/3 sin(6 t + 8/11) + 36/11 sin(7 t + 94/21) + 75/8 sin(8 t + 14/15) + 25/11 sin(9 t + 19/5) + 35/6 sin(10 t + 11/9) + 29/11 sin(11 t + 23/7) + 37/10 sin(12 t + 11/9) - 741/7) θ(55 π - t) θ(t - 51 π) + (-69/8 sin(1/18 - 12 t) + 617/3 sin(t + 35/11) + 1087/10 sin(2 t + 51/50) + 125/7 sin(3 t + 68/23) + 283/8 sin(4 t + 143/36) + 304/11 sin(5 t + 41/9) + 27/2 sin(6 t + 7/10) + 175/13 sin(7 t + 69/17) + 301/15 sin(8 t + 3/8) + 123/11 sin(9 t + 3) + 51/5 sin(10 t + 1/14) + 23/3 sin(11 t + 31/9) - 5011/5) θ(51 π - t) θ(t - 47 π) + (-31/8 sin(8/7 - 8 t) - 39/7 sin(60/59 - 6 t) + 1453/6 sin(t + 13/3) + 655/16 sin(2 t + 35/13) + 91/4 sin(3 t + 13/11) + 117/14 sin(4 t + 19/12) + 199/20 sin(5 t + 6/5) + 43/10 sin(7 t + 11/3) + 61/13 sin(9 t + 24/7) + 19/7 sin(10 t + 5/11) + 35/18 sin(11 t + 21/8) + 107/53 sin(12 t + 6/7) + 8179/10) θ(47 π - t) θ(t - 43 π) + (3943/18 sin(t + 85/19) + 469/18 sin(2 t + 7/6) + 85/6 sin(3 t + 23/6) + 74/5 sin(4 t + 1) + 133/22 sin(5 t + 24/7) + 43/6 sin(6 t + 3/4) + 69/14 sin(7 t + 29/8) + 30/7 sin(8 t + 4/11) + 19/5 sin(9 t + 34/9) + 25/7 sin(10 t + 1/6) + 14/5 sin(11 t + 41/11) + 23/8 sin(12 t + 1/5) + 15614/13) θ(43 π - t) θ(t - 39 π) + (-9650/13 sin(14/9 - t) + 862/11 sin(2 t + 13/10) + 243/4 sin(3 t + 23/15) + 148/7 sin(4 t + 42/41) + 57/5 sin(5 t + 14/9) + 253/42 sin(6 t + 11/10) + 17/4 sin(7 t + 7/13) + sin(8 t + 34/9) + 54/11 sin(9 t + 5/7) + 23/6 sin(10 t + 47/14) + 44/7 sin(11 t + 5/4) + 11/5 sin(12 t + 1/12) - 221/3) θ(39 π - t) θ(t - 35 π) + (-9/4 sin(7/5 - 6 t) - 4672/21 sin(7/5 - t) + 129/8 sin(2 t + 31/15) + 55/2 sin(3 t + 15/4) + 121/8 sin(4 t + 4/5) + 86/11 sin(5 t + 48/11) + 25/8 sin(7 t + 37/10) + 11/2 sin(8 t + 13/10) + 17/8 sin(9 t + 31/8) + 11/12 sin(10 t + 5/8) + 3/2 sin(11 t + 161/40) + 17/7 sin(12 t + 4/5) - 15904/19) θ(35 π - t) θ(t - 31 π) + (-1/6 sin(1/9 - 70 t) - 4/11 sin(1/6 - 66 t) - 1/3 sin(3/10 - 64 t) - 1/4 sin(1/6 - 62 t) - 3/8 sin(1/34 - 60 t) - 4/9 sin(1/65 - 58 t) - 11/23 sin(3/5 - 54 t) - 6/13 sin(1/26 - 48 t) - 2/3 sin(1/5 - 46 t) - 3/8 sin(3/7 - 36 t) - 1/5 sin(12/11 - 34 t) - 9/11 sin(30/29 - 32 t) - 5/7 sin(17/13 - 30 t) - 11/6 sin(5/11 - 26 t) - 5/2 sin(3/5 - 24 t) - 2/5 sin(3/4 - 18 t) - 7/3 sin(1 - 13 t) - 90/13 sin(14/11 - 11 t) - 36/7 sin(10/21 - 10 t) - 188/17 sin(10/11 - 7 t) - 235/7 sin(1/7 - 4 t) - 1151/9 sin(1 - 2 t) - 1941/7 sin(4/5 - t) + 5/12 sin(52 t) + 2/5 sin(56 t) + 1859/12 sin(3 t + 15/11) + 149/6 sin(5 t + 1/12) + 499/25 sin(6 t + 27/11) + 29/6 sin(8 t + 25/7) + 53/9 sin(9 t + 70/23) + 125/31 sin(12 t + 33/10) + 29/15 sin(14 t + 7/8) + 16/5 sin(15 t + 58/19) + 37/8 sin(16 t + 11/16) + 17/7 sin(17 t + 41/12) + 8/3 sin(19 t + 29/11) + 8/7 sin(20 t + 1/21) + 11/5 sin(21 t + 29/9) + 25/8 sin(22 t + 1/3) + 14/11 sin(23 t + 40/11) + 17/10 sin(25 t + 30/13) + 5/6 sin(27 t + 28/11) + 1/2 sin(28 t + 1/6) + 3/4 sin(29 t + 45/13) + 17/10 sin(31 t + 35/13) + 11/21 sin(33 t + 20/11) + 3/8 sin(35 t + 3/7) + 9/11 sin(37 t + 19/7) + 5/8 sin(38 t + 1/4) + 5/11 sin(39 t + 12/5) + 1/5 sin(40 t + 2/9) + 1/6 sin(41 t + 43/14) + 3/8 sin(42 t + 1/7) + 5/8 sin(43 t + 40/11) + 3/4 sin(44 t + 3/7) + 3/7 sin(45 t + 42/11) + 3/8 sin(47 t + 37/10) + 7/11 sin(49 t + 23/7) + 1/2 sin(50 t + 3/5) + 4/7 sin(51 t + 29/9) + 3/5 sin(53 t + 43/14) + 1/2 sin(55 t + 28/9) + 2/7 sin(57 t + 13/5) + 1/2 sin(59 t + 25/9) + 6/13 sin(61 t + 8/3) + 1/7 sin(63 t + 3) + 1/5 sin(65 t + 26/7) + 1/3 sin(67 t + 28/9) + 1/4 sin(68 t + 1/10) + 1/6 sin(69 t + 26/9) + 3/10 sin(71 t + 7/2) - 3437/6) θ(31 π - t) θ(t - 27 π) + (-9/2 sin(1/14 - 24 t) - 38/7 sin(1/23 - 22 t) - 53/7 sin(1/6 - 18 t) - 6 sin(1/13 - 14 t) - 189/5 sin(31/21 - 5 t) - 231/2 sin(1/4 - 3 t) - 421/3 sin(9/7 - 2 t) + 7397/43 sin(t + 7/6) + 2495/24 sin(4 t + 1/15) + 197/9 sin(6 t + 7/4) + 361/10 sin(7 t + 16/5) + 283/8 sin(8 t + 1/18) + 119/20 sin(9 t + 7/3) + 24/5 sin(10 t + 1/4) + 22 sin(11 t + 97/32) + 51/4 sin(12 t + 1/4) + 26/3 sin(13 t + 17/6) + 145/17 sin(15 t + 32/9) + 63/8 sin(16 t + 7/9) + 95/12 sin(17 t + 23/7) + 44/9 sin(19 t + 43/11) + 35/11 sin(20 t + 3/8) + 23/4 sin(21 t + 19/6) + 39/10 sin(23 t + 53/15) + 6253/11) θ(27 π - t) θ(t - 23 π) + (-61/9 sin(4/5 - 9 t) - 126/5 sin(3/5 - 5 t) + 1479/7 sin(t + 23/5) + 983/8 sin(2 t + 25/11) + 578/11 sin(3 t + 43/13) + 268/11 sin(4 t + 13/4) + 904/43 sin(6 t + 11/16) + 59/17 sin(7 t + 1/4) + 46/13 sin(8 t + 13/4) + 4 sin(10 t + 11/9) + 16/7 sin(11 t + 17/7) + 41/6 sin(12 t + 20/7) - 19615/12) θ(23 π - t) θ(t - 19 π) + (-5/4 sin(3/5 - 11 t) - 29/6 sin(1/6 - 5 t) - 125/7 sin(11/16 - 3 t) - 335/9 sin(23/15 - t) + 1807/21 sin(2 t + 45/13) + 84/13 sin(4 t + 27/10) + 9/4 sin(6 t + 34/9) + 35/13 sin(7 t + 5/8) + 8/3 sin(8 t + 23/7) + 3/8 sin(9 t + 19/20) + 13/7 sin(10 t + 23/7) + 4/11 sin(12 t + 43/14) - 9571/8) θ(19 π - t) θ(t - 15 π) + (-16/11 sin(1/8 - 33 t) - 17/7 sin(11/8 - 32 t) - 3/10 sin(1/74 - 30 t) - 3/2 sin(3/7 - 28 t) - 19/7 sin(26/17 - 22 t) - 8/5 sin(14/11 - 20 t) - 9/8 sin(16/17 - 19 t) - 8/7 sin(5/4 - 16 t) - 126/11 sin(5/11 - 15 t) - 77/8 sin(17/13 - 13 t) - 313/9 sin(6/5 - 7 t) - 189/5 sin(9/7 - 5 t) - 1893/22 sin(14/13 - 3 t) - 3533/10 sin(9/8 - t) + 527/8 sin(2 t + 35/9) + 337/8 sin(4 t + 32/9) + 143/5 sin(6 t + 29/9) + 340/9 sin(8 t + 2/11) + 425/11 sin(9 t + 15/7) + 170/11 sin(10 t + 51/13) + 73/10 sin(11 t + 79/20) + 181/19 sin(12 t + 145/48) + 71/12 sin(14 t + 11/5) + 59/5 sin(17 t + 17/7) + 17/6 sin(18 t + 47/14) + 13/7 sin(21 t + 3/4) + 19/8 sin(23 t + 31/16) + 28/11 sin(24 t + 6/7) + 4/9 sin(25 t + 30/7) + 20/9 sin(26 t + 15/7) + 7/11 sin(27 t + 16/5) + 24/13 sin(29 t + 25/13) + 19/11 sin(31 t + 15/8) + 16/7 sin(34 t + 19/11) - 14659/10) θ(15 π - t) θ(t - 11 π) + (-9/7 sin(5/7 - 42 t) - 23/7 sin(4/9 - 38 t) - 113/17 sin(1/4 - 31 t) - 26/9 sin(3/5 - 26 t) - 42/11 sin(9/19 - 23 t) - 62/21 sin(15/11 - 22 t) - 86/9 sin(4/3 - 19 t) - 59/7 sin(13/12 - 13 t) - 313/10 sin(7/9 - 9 t) - 699/7 sin(13/12 - 3 t) + 1980/7 sin(t + 23/6) + 1013/13 sin(2 t + 4/3) + 527/7 sin(4 t + 33/13) + 87/5 sin(5 t + 62/61) + 41/4 sin(6 t + 44/13) + 595/13 sin(7 t + 21/5) + 347/11 sin(8 t + 12/5) + 171/8 sin(10 t + 29/9) + 43/6 sin(11 t + 42/11) + 154/17 sin(12 t + 25/7) + 29/8 sin(14 t + 23/8) + 64/13 sin(15 t + 67/22) + 33/4 sin(16 t + 2/9) + 39/10 sin(17 t + 17/4) + 106/21 sin(18 t + 27/7) + 89/14 sin(20 t + 10/21) + 113/28 sin(21 t + 21/11) + 137/34 sin(24 t + 35/11) + 45/7 sin(25 t + 53/13) + 83/7 sin(27 t + 7/3) + 162/19 sin(28 t + 31/11) + 134/11 sin(29 t + 8/7) + 47/7 sin(30 t + 6/7) + 241/40 sin(32 t + 15/7) + 19/6 sin(33 t + 22/5) + 75/14 sin(34 t + 4/5) + 5/4 sin(35 t + 15/14) + 53/21 sin(36 t + 13/8) + 25/9 sin(37 t + 7/2) + 15/11 sin(39 t + 9/7) + 5/4 sin(40 t + 6/7) + 20/7 sin(41 t + 14/5) + 9/7 sin(43 t + 4/5) + 55/27 sin(44 t + 39/10) + 6/7 sin(45 t + 1/2) - 981/20) θ(11 π - t) θ(t - 7 π) + (-3 sin(1/7 - 22 t) - 5/3 sin(10/21 - 20 t) - 16/7 sin(4/3 - 18 t) - 27/5 sin(6/5 - 12 t) - 89/14 sin(15/11 - 10 t) - 1148/9 sin(11/9 - 2 t) - 4213/7 sin(9/14 - t) + 1003/10 sin(3 t + 37/9) + 58/5 sin(4 t + 2/5) + 17/6 sin(5 t + 9/10) + 89/2 sin(6 t + 32/7) + 227/6 sin(7 t + 6/13) + 126/13 sin(8 t + 16/7) + 115/9 sin(9 t + 16/9) + 86/5 sin(11 t + 31/11) + 65/4 sin(13 t + 47/11) + 191/10 sin(14 t + 2/7) + 23/7 sin(15 t + 17/8) + 83/14 sin(16 t + 57/29) + 46/9 sin(17 t + 19/6) + 5/8 sin(19 t + 46/15) + 29/30 sin(21 t + 14/3) + 28/19 sin(23 t + 27/13) + 23/14 sin(24 t + 13/8) + 5/6 sin(25 t + 4) - 305/11) θ(7 π - t) θ(t - 3 π) + (-43/9 sin(17/13 - 22 t) - 43/8 sin(2/3 - 20 t) - 559/9 sin(1/3 - 4 t) - 537 sin(19/13 - 2 t) + 6479/12 sin(t + 11/3) + 2801/13 sin(3 t + 73/21) + 357/8 sin(5 t + 31/8) + 1367/24 sin(6 t + 27/7) + 219/10 sin(7 t + 25/13) + 47/3 sin(8 t + 53/27) + 47/2 sin(9 t + 30/7) + 188/5 sin(10 t + 31/11) + 55/7 sin(11 t + 4/5) + 587/28 sin(12 t + 5/12) + 681/34 sin(13 t + 19/8) + 181/9 sin(14 t + 31/8) + 121/13 sin(15 t + 13/10) + 54/7 sin(16 t + 7/9) + 71/14 sin(17 t + 6/7) + 84/13 sin(18 t + 9/5) + 22/9 sin(19 t + 3/8) + 19/5 sin(21 t + 5/3) + 15648/13) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-32/7 sin(14/9 - 12 t) - 11/4 sin(11/7 - 10 t) - 23/8 sin(17/11 - 9 t) - 59/10 sin(17/11 - 5 t) - 467/7 sin(11/7 - 4 t) - 161/4 sin(11/7 - 2 t) - 31/4 sin(11/7 - t) + 26/3 sin(3 t + 14/9) + 23/10 sin(6 t + 33/7) + 15/8 sin(7 t + 14/9) + 9/5 sin(8 t + 61/13) + 23/8 sin(11 t + 11/7) - 966/5) θ(79 π - t) θ(t - 75 π) + (-1/11 sin(3/7 - 56 t) - 1/3 sin(13/11 - 54 t) - 18/11 sin(9/7 - 50 t) - 6/13 sin(15/11 - 49 t) - 75/37 sin(17/12 - 47 t) - 11/2 sin(13/9 - 45 t) - 4/3 sin(9/7 - 40 t) - 32/11 sin(34/23 - 39 t) - 7/6 sin(5/4 - 38 t) - 109/27 sin(7/5 - 37 t) - 17/4 sin(10/7 - 35 t) - 7/5 sin(5/4 - 34 t) - 160/23 sin(10/7 - 33 t) - 74/7 sin(13/9 - 32 t) - 27/26 sin(4/3 - 29 t) - 14/11 sin(17/11 - 28 t) - 7/6 sin(20/13 - 26 t) - 6/11 sin(11/8 - 25 t) - 21/5 sin(10/7 - 24 t) - 68/9 sin(3/2 - 23 t) - 26/5 sin(17/11 - 21 t) - 8/7 sin(9/8 - 16 t) - 87/7 sin(3/2 - 15 t) - 299/8 sin(29/19 - 13 t) - 1825/9 sin(20/13 - 11 t) - 258/5 sin(29/19 - 10 t) - 14/5 sin(4/3 - 8 t) - 79/6 sin(11/7 - 4 t) - 1990/17 sin(11/7 - 2 t) + 85/2 sin(t + 11/7) + 41/2 sin(3 t + 11/7) + 160/7 sin(5 t + 13/8) + 13/3 sin(6 t + 22/13) + 91/6 sin(7 t + 11/7) + 64 sin(9 t + 8/5) + 20 sin(12 t + 14/9) + 87/10 sin(14 t + 10/7) + 117/14 sin(17 t + 47/10) + 3/7 sin(18 t + 5/8) + 11/17 sin(19 t + 28/9) + 271/30 sin(20 t + 8/5) + 43/6 sin(22 t + 13/8) + 48/19 sin(27 t + 13/8) + 43/11 sin(30 t + 17/10) + 86/9 sin(31 t + 5/3) + 13/8 sin(36 t + 4/3) + 13/8 sin(41 t + 7/4) + 7/4 sin(42 t + 26/17) + 41/42 sin(43 t + 14/3) + 33/14 sin(44 t + 18/11) + 9/5 sin(46 t + 11/7) + 39/38 sin(48 t + 13/8) + 5/14 sin(51 t + 65/14) + 5/3 sin(52 t + 17/10) + 8/13 sin(53 t + 81/40) + 1/3 sin(55 t + 37/8) + 3979/5) θ(75 π - t) θ(t - 71 π) + (-21/5 sin(14/9 - 12 t) - 35/12 sin(11/7 - 11 t) - 71/14 sin(11/7 - 8 t) - 154/9 sin(11/7 - 7 t) - 20/9 sin(14/9 - 4 t) - 515/8 sin(11/7 - 3 t) - 2005/19 sin(11/7 - 2 t) - 841/8 sin(11/7 - t) + 131/10 sin(5 t + 11/7) + 125/18 sin(6 t + 11/7) + 9/8 sin(9 t + 8/5) + 63/8 sin(10 t + 11/7) - 7092/13) θ(71 π - t) θ(t - 67 π) + (-154/31 sin(11/7 - 8 t) - 5/2 sin(17/11 - 5 t) - 261/16 sin(11/7 - 4 t) - 862/7 sin(11/7 - 2 t) - 913/7 sin(11/7 - t) + 701/18 sin(3 t + 11/7) + 25/9 sin(6 t + 19/12) + 43/9 sin(7 t + 11/7) + 45/8 sin(9 t + 11/7) + 11/9 sin(10 t + 47/10) + 4/3 sin(11 t + 11/7) + 7/11 sin(12 t + 23/5) + 3629/9) θ(67 π - t) θ(t - 63 π) + (-359/40 sin(11/7 - 9 t) - 19/3 sin(11/7 - 4 t) - 409/9 sin(11/7 - t) + 1223/6 sin(2 t + 11/7) + 23 sin(3 t + 11/7) + 524/35 sin(5 t + 33/7) + 93/8 sin(6 t + 11/7) + 97/13 sin(7 t + 11/7) + 42/5 sin(8 t + 11/7) + 17/5 sin(10 t + 14/9) + 27/4 sin(11 t + 11/7) + 44/15 sin(12 t + 14/9) + 21555/26) θ(63 π - t) θ(t - 59 π) + (-11/7 sin(26/17 - 11 t) - 50/11 sin(3/2 - 9 t) - 64/7 sin(17/11 - 8 t) - 75/8 sin(11/7 - 7 t) - 1218/23 sin(11/7 - 5 t) - 742/11 sin(11/7 - 3 t) - 3208/31 sin(11/7 - 2 t) - 53/10 sin(23/15 - t) + 154/5 sin(4 t + 11/7) + 335/9 sin(6 t + 11/7) + 4/5 sin(10 t + 13/9) + 21/8 sin(12 t + 17/11) + 11233/10) θ(59 π - t) θ(t - 55 π) + (-47/6 sin(1/3 - 10 t) - 163/10 sin(1/5 - 8 t) + 3447/11 sin(t + 25/8) + 722/9 sin(2 t + 37/8) + 1403/15 sin(3 t + 31/12) + 117/8 sin(4 t + 3/7) + 251/7 sin(5 t + 19/7) + 63/2 sin(6 t + 1/7) + 122/9 sin(7 t + 7/2) + 86/7 sin(9 t + 43/12) + 76/7 sin(11 t + 44/13) + 118/17 sin(12 t + 1/7) + 8586/11) θ(55 π - t) θ(t - 51 π) + (-389/8 sin(14/15 - 3 t) + 814/7 sin(t + 23/5) + 1226/9 sin(2 t + 31/10) + 349/5 sin(4 t + 67/15) + 24 sin(5 t + 6/7) + 197/4 sin(6 t + 35/11) + 177/8 sin(7 t + 19/20) + 108/7 sin(8 t + 3) + 32/3 sin(9 t + 1/16) + 35/6 sin(10 t + 29/9) + 83/12 sin(11 t + 9/14) + 72/13 sin(12 t + 22/9) - 758/13) θ(51 π - t) θ(t - 47 π) + (-81/8 sin(3/7 - 8 t) - 58/13 sin(19/14 - 6 t) - 4789/16 sin(5/8 - t) + 356/7 sin(2 t + 4/13) + 166/13 sin(3 t + 7/5) + 77/10 sin(4 t + 15/11) + 38/3 sin(5 t + 14/5) + 38/5 sin(7 t + 41/14) + 79/14 sin(9 t + 16/5) + 51/7 sin(10 t + 2/9) + 31/7 sin(11 t + 37/11) + 16/5 sin(12 t + 3/5) + 1582/5) θ(47 π - t) θ(t - 43 π) + (-8/9 sin(9/10 - 12 t) - 4/9 sin(7/11 - 11 t) + 745/9 sin(t + 55/14) + 228/7 sin(2 t + 29/8) + 145/7 sin(3 t + 11/3) + 119/12 sin(4 t + 36/11) + 38/9 sin(5 t + 55/18) + 37/14 sin(6 t + 18/11) + 3 sin(7 t + 10/9) + 28/9 sin(8 t + 1) + 23/12 sin(9 t + 1) + 8/7 sin(10 t + 6/13) - 1891/14) θ(43 π - t) θ(t - 39 π) + (-11 sin(7/9 - 11 t) - 111/13 sin(4/3 - 9 t) - 796/13 sin(14/9 - 4 t) - 5110/13 sin(11/7 - 2 t) + 1629/11 sin(t + 55/13) + 62/3 sin(3 t + 7/2) + 65/4 sin(5 t + 21/5) + 125/9 sin(6 t + 25/6) + 93/8 sin(7 t + 86/19) + 97/10 sin(8 t + 32/9) + 134/13 sin(10 t + 34/11) + 46/5 sin(12 t + 42/13) + 2251/11) θ(39 π - t) θ(t - 35 π) + (-19/8 sin(27/26 - 11 t) - 67/11 sin(7/11 - 7 t) - 250/7 sin(3/7 - 3 t) + 3267/10 sin(t + 16/5) + 195/4 sin(2 t + 20/7) + 124/11 sin(4 t + 2/11) + 31/3 sin(5 t + 19/9) + 97/10 sin(6 t + 24/7) + 11/7 sin(8 t + 10/3) + 55/14 sin(9 t + 6/7) + 8/3 sin(10 t + 38/15) + 25/12 sin(12 t + 35/9) + 3771/10) θ(35 π - t) θ(t - 31 π) + (-3/8 sin(1/11 - 70 t) - 3/8 sin(2/3 - 60 t) - 3/10 sin(13/10 - 54 t) - 1/2 sin(2/9 - 52 t) - 3/7 sin(9/17 - 48 t) - 7/10 sin(31/21 - 42 t) - 5/9 sin(4/7 - 34 t) - 4/7 sin(1/2 - 32 t) - 23/12 sin(10/7 - 24 t) - 13/7 sin(10/11 - 21 t) - 71/11 sin(3/7 - 13 t) - 11/4 sin(13/14 - 12 t) - 99/49 sin(7/10 - 11 t) - 106/7 sin(11/7 - 5 t) - 615/7 sin(9/11 - 3 t) + 6481/45 sin(t + 40/9) + 337/15 sin(2 t + 2/3) + 134/3 sin(4 t + 1/8) + 167/9 sin(6 t + 39/11) + 58/5 sin(7 t + 39/10) + 322/15 sin(8 t + 26/11) + 46/7 sin(9 t + 20/9) + 48/11 sin(10 t + 9/10) + 22/7 sin(14 t + 32/9) + 14/11 sin(15 t + 23/6) + 9/4 sin(16 t + 2/9) + 5/14 sin(17 t + 51/13) + 23/12 sin(18 t + 23/7) + 7/3 sin(19 t + 16/9) + 7/5 sin(20 t + 9/4) + 8/5 sin(22 t + 1/7) + 8/9 sin(23 t + 26/7) + 5/6 sin(25 t + 9/2) + 8/7 sin(26 t + 14/5) + 12/11 sin(27 t + 35/18) + 9/7 sin(28 t + 11/12) + 7/10 sin(29 t + 47/10) + 3/8 sin(30 t + 1) + 1/2 sin(31 t + 1) + 5/6 sin(33 t + 47/12) + 2/9 sin(35 t + 33/7) + 1/2 sin(36 t + 22/5) + 7/9 sin(37 t + 47/16) + 3/4 sin(38 t + 7/13) + 4/9 sin(39 t + 31/11) + 27/26 sin(40 t + 1/49) + 4/9 sin(41 t + 25/8) + 1/2 sin(43 t + 39/11) + 1/4 sin(44 t + 3/4) + 4/5 sin(45 t + 13/4) + 8/17 sin(46 t + 3/10) + 6/13 sin(47 t + 57/23) + 8/17 sin(49 t + 17/8) + 5/11 sin(50 t + 2/3) + 2/7 sin(51 t + 49/11) + 3/10 sin(53 t + 23/8) + 4/11 sin(55 t + 190/63) + 3/13 sin(56 t + 1) + 1/13 sin(57 t + 83/28) + 3/7 sin(58 t + 1/10) + 2/11 sin(59 t + 26/7) + 2/7 sin(61 t + 18/5) + 2/9 sin(62 t + 11/12) + 3/10 sin(63 t + 49/13) + 1/18 sin(64 t + 3/13) + 1/3 sin(65 t + 16/5) + 1/5 sin(66 t + 5/7) + 1/4 sin(67 t + 17/5) + 2/7 sin(68 t + 7/8) + 1/31 sin(69 t + 11/3) + 1/5 sin(71 t + 32/9) - 22371/28) θ(31 π - t) θ(t - 27 π) + (-17/3 sin(3/13 - 20 t) - 8/3 sin(3/7 - 18 t) - 119/20 sin(1/9 - 16 t) - 37/6 sin(13/11 - 13 t) - 46/5 sin(8/15 - 10 t) - 1326/11 sin(16/11 - 2 t) + 1112/13 sin(t + 39/10) + 540/7 sin(3 t + 37/8) + 214/13 sin(4 t + 61/14) + 583/8 sin(5 t + 43/13) + 1067/16 sin(6 t + 2/7) + 230/13 sin(7 t + 341/85) + 143/5 sin(8 t + 11/8) + 70/11 sin(9 t + 9/4) + 73/11 sin(11 t + 41/10) + 285/26 sin(12 t + 5/4) + 49/6 sin(14 t + 16/11) + 83/8 sin(15 t + 46/13) + 23/9 sin(17 t + 21/8) + 170/19 sin(19 t + 46/15) + 27/11 sin(21 t + 7/2) + 12/5 sin(22 t + 11/12) + 20/9 sin(23 t + 29/8) + 115/29 sin(24 t + 1/14) - 9221/11) θ(27 π - t) θ(t - 23 π) + (-29/9 sin(3/10 - 11 t) - 44/9 sin(14/15 - 10 t) - 380/23 sin(10/7 - 9 t) + 1987/6 sin(t + 59/13) + 1878/13 sin(2 t + 11/5) + 645/17 sin(3 t + 16/5) + 477/11 sin(4 t + 23/13) + 72/5 sin(5 t + 99/49) + 175/9 sin(6 t + 7/3) + 79/6 sin(7 t + 61/14) + 159/17 sin(8 t + 40/9) + 61/11 sin(12 t + 19/10) - 8608/9) θ(23 π - t) θ(t - 19 π) + (-11/16 sin(7/11 - 11 t) - 42/11 sin(1/3 - 5 t) + 247/7 sin(t + 23/7) + 641/8 sin(2 t + 17/8) + 29/3 sin(3 t + 40/9) + 9/4 sin(4 t + 4/7) + 2/7 sin(6 t + 22/7) + 2 sin(7 t + 9/10) + 13/7 sin(8 t + 22/7) + 16/11 sin(9 t + 1/9) + 6/5 sin(10 t + 35/11) + 1/8 sin(12 t + 4) - 3747/11) θ(19 π - t) θ(t - 15 π) + (-2/7 sin(1/5 - 30 t) - 5/8 sin(7/13 - 29 t) - 3/7 sin(3/2 - 27 t) - 12/25 sin(17/11 - 26 t) - 16/7 sin(7/10 - 22 t) - 58/9 sin(2/7 - 19 t) - 51/5 sin(9/14 - 15 t) - 473/21 sin(5/6 - 9 t) + 3251/7 sin(t + 31/7) + 277/5 sin(2 t + 41/11) + 835/9 sin(3 t + 103/23) + 184/7 sin(4 t + 73/21) + 461/8 sin(5 t + 49/11) + 91/3 sin(6 t + 35/11) + 324/17 sin(7 t + 23/6) + 184/5 sin(8 t + 37/38) + 769/24 sin(10 t + 32/9) + 11/3 sin(11 t + 38/13) + 97/16 sin(12 t + 18/5) + 97/14 sin(13 t + 29/12) + 28/9 sin(14 t + 18/17) + 16/5 sin(16 t + 3/7) + 107/8 sin(17 t + 20/7) + 54/7 sin(18 t + 31/12) + 66/13 sin(20 t + 17/5) + 17/7 sin(21 t + 4/11) + 33/8 sin(23 t + 23/9) + 13/4 sin(24 t + 20/9) + 23/15 sin(25 t + 10/9) + 9/14 sin(28 t + 21/10) + 13/7 sin(31 t + 12/7) + 5/9 sin(32 t + 20/9) + 8/9 sin(33 t + 7/8) + 13/8 sin(34 t + 14/13) - 6532/9) θ(15 π - t) θ(t - 11 π) + (-6/5 sin(5/4 - 45 t) - 9/5 sin(4/9 - 42 t) - 24/5 sin(19/14 - 37 t) - 23/4 sin(12/13 - 33 t) - 106/7 sin(7/6 - 25 t) - 37/7 sin(3/8 - 18 t) - 193/12 sin(17/12 - 15 t) - 345/8 sin(2/7 - 7 t) - 97/10 sin(5/8 - 6 t) + 1015/9 sin(t + 31/13) + 121/6 sin(2 t + 11/6) + 118 sin(3 t + 7/2) + 91/9 sin(4 t + 25/13) + 956/9 sin(5 t + 33/7) + 230/7 sin(8 t + 4/11) + 85/13 sin(9 t + 5/12) + 67/3 sin(10 t + 25/17) + 57/11 sin(11 t + 15/7) + 89/14 sin(12 t + 2/11) + 929/58 sin(13 t + 24/7) + 126/11 sin(14 t + 14/15) + 31/4 sin(16 t + 25/12) + 36/7 sin(17 t + 3) + 161/17 sin(19 t + 2/7) + 38/7 sin(20 t + 47/16) + 185/23 sin(21 t + 65/22) + 289/48 sin(22 t + 1/24) + 41/8 sin(23 t + 11/5) + 71/13 sin(24 t + 81/20) + 68/15 sin(26 t + 1) + 15 sin(27 t + 31/7) + 105/8 sin(28 t + 23/5) + 121/10 sin(29 t + 26/9) + 65/8 sin(30 t + 27/10) + 8 sin(31 t + 11/6) + 47/7 sin(32 t + 13/3) + 112/13 sin(34 t + 13/7) + 26/5 sin(35 t + 32/9) + 21/8 sin(36 t + 117/29) + 31/8 sin(38 t + 1/2) + 15/4 sin(39 t + 9/5) + 13/8 sin(40 t + 11/5) + 37/14 sin(41 t + 17/5) + 19/10 sin(43 t + 20/19) + 5/3 sin(44 t + 25/26) - 2177/8) θ(11 π - t) θ(t - 7 π) + (-13/7 sin(1/10 - 21 t) - 34/7 sin(1/13 - 18 t) - 66/19 sin(11/8 - 16 t) - 97/15 sin(9/7 - 13 t) - 503/10 sin(25/26 - 7 t) - 77/4 sin(2/3 - 5 t) - 68/7 sin(5/8 - 4 t) + 3804/7 sin(t + 41/10) + 529/3 sin(2 t + 24/7) + 1105/12 sin(3 t + 29/11) + 549/8 sin(6 t + 11/4) + 203/8 sin(8 t + 17/4) + 233/7 sin(9 t + 2/7) + 95/7 sin(10 t + 9/5) + 133/10 sin(11 t + 35/9) + 109/7 sin(12 t + 28/27) + 128/7 sin(14 t + 16/7) + 80/9 sin(15 t + 17/4) + 31/11 sin(17 t + 35/8) + 12/7 sin(19 t + 6/13) + 10/3 sin(20 t + 7/3) + 17/7 sin(22 t + 2/5) + 2 sin(23 t + 19/13) + 19/9 sin(24 t + 19/7) + 8/7 sin(25 t + 30/7) - 152/11) θ(7 π - t) θ(t - 3 π) + (-116/5 sin(1/31 - 8 t) - 376/9 sin(1/7 - 6 t) - 820/9 sin(1/13 - 3 t) + 10479/10 sin(t + 8/5) + 3616/15 sin(2 t + 34/11) + 401/7 sin(4 t + 19/6) + 379/11 sin(5 t + 3/4) + 223/13 sin(7 t + 23/10) + 732/19 sin(9 t + 22/7) + 199/11 sin(10 t + 9/7) + 83/5 sin(11 t + 8/7) + 88/9 sin(12 t + 15/7) + 521/40 sin(13 t + 5/11) + 143/7 sin(14 t + 169/42) + 256/13 sin(15 t + 7/3) + 131/11 sin(16 t + 1/3) + 149/23 sin(17 t + 8/5) + 35/6 sin(18 t + 3/5) + 4/3 sin(19 t + 13/5) + 33/7 sin(20 t + 45/11) + 60/17 sin(21 t + 23/9) + 11/3 sin(22 t + 55/12) + 2801/12) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))<img width="282" alt="meta kngiht.png" src="https://qiita-image-store.s3.ap-northeast-1.amazonaws.com/0/362315/b371d7fb-80d9-8dd0-27bb-3d21a8137c93.png">
#ポケモンシリーズはこちら pokemon like curve 894種
##ピカチュウ
パラメトリック方程式
x(t) = ((-1/4 sin(10/7 - 23 t) - 3/10 sin(4/3 - 22 t) - 2/5 sin(7/5 - 19 t) - 1/5 sin(7/5 - 16 t) - 3/7 sin(10/7 - 15 t) - 3/8 sin(13/9 - 9 t) - 19/13 sin(11/7 - 3 t) + 222/5 sin(t + 11/7) + 41/2 sin(2 t + 11/7) + 34/9 sin(4 t + 11/7) + 1/3 sin(5 t + 8/5) + 3/8 sin(6 t + 8/5) + 12/7 sin(7 t + 13/8) + 11/7 sin(8 t + 13/8) + 1/4 sin(10 t + 20/13) + 2/9 sin(11 t + 16/9) + 3/8 sin(12 t + 8/5) + 1/3 sin(13 t + 7/4) + 1/2 sin(14 t + 17/10) + 5/7 sin(17 t + 17/10) + 1/28 sin(18 t + 9/2) + 1/2 sin(20 t + 12/7) + 3/7 sin(21 t + 16/9) + 6/11 sin(24 t + 7/4) - 979/9) θ(51 π - t) θ(t - 47 π) + (-6/5 sin(14/9 - 22 t) - 1/9 sin(7/5 - 19 t) - 9/8 sin(14/9 - 18 t) - 1/14 sin(15/11 - 15 t) - 6/5 sin(11/7 - 12 t) - 7/6 sin(11/7 - 8 t) - 29/10 sin(11/7 - 6 t) - 104/3 sin(11/7 - 2 t) + 415/18 sin(t + 11/7) + 71/18 sin(3 t + 11/7) + 19/8 sin(4 t + 33/7) + 22/21 sin(5 t + 8/5) + 3/8 sin(7 t + 61/13) + 5/9 sin(9 t + 11/7) + 1/8 sin(10 t + 14/3) + 4/7 sin(11 t + 11/7) + 4/11 sin(13 t + 14/3) + 1/7 sin(14 t + 14/3) + 2/7 sin(16 t + 5/3) + 1/6 sin(17 t + 5/3) + 6/7 sin(20 t + 8/5) + 1/7 sin(21 t + 5/3) + 1/6 sin(23 t + 8/5) - 2765/8) θ(47 π - t) θ(t - 43 π) + (1189/22 sin(t + 11/7) + 3/4 sin(2 t + 13/8) + 11/2 sin(3 t + 8/5) + 2/7 sin(4 t + 17/7) + 22/9 sin(5 t + 18/11) + 1/4 sin(6 t + 17/7) + 16/17 sin(7 t + 20/11) + 1/5 sin(8 t + 29/9) - 1627/7) θ(43 π - t) θ(t - 39 π) + (-3/7 sin(1/18 - 5 t) - 3/4 sin(1/2 - 3 t) + 109/9 sin(t + 13/10) + 5/8 sin(2 t + 11/3) + 5/9 sin(4 t + 10/3) + 3/10 sin(6 t + 21/8) + 2/9 sin(7 t + 2/3) + 1/4 sin(8 t + 23/8) - 1190/9) θ(39 π - t) θ(t - 35 π) + (188/21 sin(t + 27/28) + 2/5 sin(2 t + 17/6) + 2/3 sin(3 t + 91/23) + 3/8 sin(4 t + 53/18) + 2/11 sin(5 t + 1/7) - 369) θ(35 π - t) θ(t - 31 π) + (-8/9 sin(1/10 - 12 t) - 34/9 sin(10/9 - 6 t) - 137/10 sin(5/7 - 2 t) + 26/5 sin(t + 13/4) + 118/5 sin(3 t + 11/8) + 43/8 sin(4 t + 13/7) + 49/6 sin(5 t + 11/12) + 22/5 sin(7 t + 13/4) + 17/16 sin(8 t + 1/7) + 5/4 sin(9 t + 1/4) + 5/7 sin(10 t + 17/5) + 29/15 sin(11 t + 5/6) - 1915/8) θ(31 π - t) θ(t - 27 π) + (-2/7 sin(10/7 - 7 t) - sin(1/27 - 4 t) + 68/7 sin(t + 44/15) + 76/9 sin(2 t + 37/10) + 30/7 sin(3 t + 1) + 8/9 sin(5 t + 3/2) + 4/5 sin(6 t + 31/8) + 3/7 sin(8 t + 10/3) + 6/13 sin(9 t + 8/7) + 1/3 sin(10 t + 31/9) - 2135/9) θ(27 π - t) θ(t - 23 π) + (-3/8 sin(1/4 - 23 t) - 3/5 sin(1/8 - 22 t) - 13/8 sin(5/4 - 20 t) - 9/7 sin(3/2 - 16 t) - 41/5 sin(4/3 - 4 t) + 768/7 sin(t + 11/5) + 109/5 sin(2 t + 16/7) + 150/13 sin(3 t + 11/6) + 33/7 sin(5 t + 97/24) + 23/4 sin(6 t + 5/7) + 69/7 sin(7 t + 9/8) + 32/5 sin(8 t + 21/5) + 7/6 sin(9 t + 22/9) + 28/5 sin(10 t + 5/6) + 43/10 sin(11 t + 26/7) + 14/9 sin(12 t + 5/11) + 13/9 sin(13 t + 40/9) + 11/6 sin(14 t + 2/5) + 3/2 sin(15 t + 17/10) + 7/11 sin(17 t + 4/3) + 3/8 sin(18 t + 31/10) + 4/7 sin(19 t + 14/9) + 6/5 sin(21 t + 17/7) + 4/7 sin(24 t + 27/8) + 1006/11) θ(23 π - t) θ(t - 19 π) + (-63/8 sin(2/7 - 8 t) - 38/13 sin(11/9 - 6 t) - 14/5 sin(1/17 - 4 t) + 77/9 sin(t + 1/2) + 52/7 sin(2 t + 10/3) + 22/9 sin(3 t + 76/17) + 21/8 sin(5 t + 26/7) + 3 sin(7 t + 15/8) + 64/7 sin(9 t + 57/14) + 6 sin(10 t + 17/6) - 544/7) θ(19 π - t) θ(t - 15 π) + (-37/10 sin(4/7 - 5 t) - 3 sin(3/7 - 3 t) + 24/7 sin(t + 7/6) + 9/7 sin(2 t + 2/5) + 31/15 sin(4 t + 37/8) + 9/5 sin(6 t + 12/5) + 59/12 sin(7 t + 13/6) + 15/7 sin(8 t + 25/8) + 134/15 sin(9 t + 7/3) + 73/8 sin(10 t + 1/5) - 4406/11) θ(15 π - t) θ(t - 11 π) + (236/7 sin(t + 6/5) + 1/2 sin(2 t + 47/12) - 627/5) θ(11 π - t) θ(t - 7 π) + (69/2 sin(t + 5/6) - 715/2) θ(7 π - t) θ(t - 3 π) + (-19/9 sin(6/5 - 21 t) - 37/10 sin(7/9 - 19 t) - 23/8 sin(1 - 17 t) - 16/3 sin(7/6 - 16 t) - 29/5 sin(1/5 - 9 t) - 919/11 sin(1/7 - 3 t) + 1573/6 sin(t + 91/45) + 214/5 sin(2 t + 33/8) + 421/14 sin(4 t + 13/8) + 61/6 sin(5 t + 19/5) + 401/16 sin(6 t + 43/14) + 511/51 sin(7 t + 35/8) + 144/7 sin(8 t + 5/6) + 137/10 sin(10 t + 25/13) + 18/7 sin(11 t + 15/7) + 17/9 sin(12 t + 41/9) + 9/7 sin(13 t + 13/7) + 29/10 sin(14 t + 22/7) + 25/8 sin(15 t + 1/4) + 12/5 sin(18 t + 11/8) + 14/5 sin(20 t + 27/7) + 13/8 sin(22 t + 12/7) + 7/6 sin(23 t + 7/9) + 26/11 sin(24 t + 23/7) - 1891/8) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-8/11 sin(11/8 - 22 t) - 1/2 sin(10/7 - 21 t) + 67/6 sin(t + 33/7) + 1478/29 sin(2 t + 11/7) + 3/5 sin(3 t + 30/7) + 26/3 sin(4 t + 11/7) + 1/6 sin(5 t + 13/9) + 30/29 sin(6 t + 8/5) + 2/5 sin(7 t + 14/3) + 88/29 sin(8 t + 8/5) + 1/4 sin(9 t + 31/7) + 11/8 sin(10 t + 8/5) + 1/16 sin(11 t + 9/2) + 1/12 sin(12 t + 5/4) + 1/10 sin(13 t + 25/11) + 11/8 sin(14 t + 18/11) + 2/7 sin(15 t + 37/8) + 1/6 sin(16 t + 11/8) + 2/9 sin(17 t + 5/3) + 1/5 sin(18 t + 17/10) + 1/13 sin(19 t + 19/8) + 23/24 sin(20 t + 12/7) + 7/11 sin(23 t + 9/5) + 9/7 sin(24 t + 7/4) - 1538/7) θ(51 π - t) θ(t - 47 π) + (-2/7 sin(20/13 - 23 t) - 1/6 sin(3/2 - 20 t) - 5/7 sin(20/13 - 17 t) - 1/9 sin(20/13 - 11 t) - 1/6 sin(13/9 - 9 t) - 19/6 sin(17/11 - 3 t) + 263/5 sin(t + 11/7) + 614/15 sin(2 t + 11/7) + 87/10 sin(4 t + 11/7) + 1/7 sin(5 t + 11/8) + 19/11 sin(6 t + 11/7) + 7/5 sin(7 t + 11/7) + 4/3 sin(8 t + 8/5) + 9/5 sin(10 t + 14/9) + 4/7 sin(12 t + 8/5) + 3/11 sin(13 t + 3/2) + 1/8 sin(14 t + 22/15) + 1/9 sin(15 t + 12/7) + 6/5 sin(16 t + 11/7) + 2/9 sin(18 t + 11/7) + 3/5 sin(19 t + 8/5) + 1/26 sin(21 t + 15/11) + 6/7 sin(22 t + 8/5) - 1867/8) θ(47 π - t) θ(t - 43 π) + (118/39 sin(t + 11/7) + 40/7 sin(2 t + 33/7) + 49/25 sin(3 t + 14/3) + 12/5 sin(4 t + 8/5) + 1/9 sin(5 t + 32/13) + 5/2 sin(6 t + 13/8) + 2/5 sin(7 t + 22/5) + 3/4 sin(8 t + 7/4) - 143/10) θ(43 π - t) θ(t - 39 π) + (-1/8 sin(2/3 - 8 t) - 1/2 sin(7/5 - 2 t) - 246/19 sin(1/7 - t) + 1/4 sin(3 t + 33/16) + 1/6 sin(4 t + 17/6) + 1/5 sin(5 t + 31/7) + 1/11 sin(6 t + 50/17) + 1/8 sin(7 t + 30/7) + 665/6) θ(39 π - t) θ(t - 35 π) + (-119/10 sin(7/15 - t) + 2/11 sin(2 t + 25/7) + 2/9 sin(3 t + 5/8) + 1/5 sin(4 t + 33/7) + 1/4 sin(5 t + 19/10) + 1023/10) θ(35 π - t) θ(t - 31 π) + (-1/7 sin(2/7 - 12 t) - 1/8 sin(3/10 - 5 t) + 25/7 sin(t + 77/17) + 355/59 sin(2 t + 41/40) + 27/5 sin(3 t + 46/15) + 33/7 sin(4 t + 11/3) + 27/10 sin(6 t + 13/9) + 5/11 sin(7 t + 11/5) + 5/8 sin(8 t + 3) + 8/5 sin(9 t + 16/15) + 16/15 sin(10 t + 1/7) + 7/9 sin(11 t + 12/5) - 862/7) θ(31 π - t) θ(t - 27 π) + (-1/3 sin(5/4 - 8 t) - 2/5 sin(5/9 - 7 t) - 5/7 sin(11/8 - 5 t) - 7/2 sin(15/14 - 2 t) + 29/8 sin(t + 41/10) + 11/6 sin(3 t + 13/3) + 7/6 sin(4 t + 1/27) + 2/7 sin(6 t + 8/7) + 1/9 sin(9 t + 9/5) + 2/7 sin(10 t + 1/10) + 201/5) θ(27 π - t) θ(t - 23 π) + (-4/11 sin(8/9 - 12 t) - 10/7 sin(19/13 - 10 t) + 623/3 sin(t + 10/7) + 39/5 sin(2 t + 10/11) + 251/9 sin(3 t + 4/3) + 5/7 sin(4 t + 4/3) + 61/6 sin(5 t + 4/3) + 14/9 sin(6 t + 23/7) + 76/25 sin(7 t + 9/7) + 3/4 sin(8 t + 1/4) + 19/5 sin(9 t + 3/2) + 17/6 sin(11 t + 6/5) + 13/8 sin(13 t + 14/13) + 8/9 sin(14 t + 17/6) + 24/25 sin(15 t + 1/2) + 1/6 sin(16 t + 13/8) + 5/8 sin(17 t + 1) + 1/7 sin(18 t + 18/17) + 6/7 sin(19 t + 1) + 1/4 sin(20 t + 4/9) + 2/7 sin(21 t + 7/5) + 1/3 sin(22 t + 8/7) + 2/5 sin(23 t + 1/26) + 2/11 sin(24 t + 8/7) - 243/8) θ(23 π - t) θ(t - 19 π) + (-111/10 sin(4/5 - 9 t) - 12/5 sin(7/13 - 2 t) + 1/6 sin(t + 48/11) + 13/8 sin(3 t + 27/7) + 71/24 sin(4 t + 6/11) + 22/9 sin(5 t + 7/2) + 19/7 sin(6 t + 8/17) + 20/7 sin(7 t + 34/9) + 55/7 sin(8 t + 6/5) + 64/9 sin(10 t + 38/9) + 27/5) θ(19 π - t) θ(t - 15 π) + (-22/7 sin(4/3 - 8 t) - 19/7 sin(20/13 - 6 t) + 38/13 sin(t + 1/24) + 12/11 sin(2 t + 5/9) + 26/7 sin(3 t + 7/9) + 11/5 sin(4 t + 12/11) + 37/10 sin(5 t + 17/10) + 51/10 sin(7 t + 10/3) + 33/4 sin(9 t + 26/7) + 41/5 sin(10 t + 9/5) - 27/2) θ(15 π - t) θ(t - 11 π) + (-172/5 sin(3/8 - t) + 5/4 sin(2 t + 7/2) + 2303/24) θ(11 π - t) θ(t - 7 π) + (441/5 - 455/12 sin(7/9 - t)) θ(7 π - t) θ(t - 3 π) + (-1/3 sin(1/20 - 18 t) - 7/5 sin(7/9 - 17 t) - 18/11 sin(2/5 - 14 t) - 24/5 sin(1/13 - 9 t) + 2767/7 sin(t + 11/3) + 229/5 sin(2 t + 17/7) + 313/8 sin(3 t + 22/5) + 32/3 sin(4 t + 22/5) + 169/6 sin(5 t + 21/8) + 23/7 sin(6 t + 26/11) + 21/2 sin(7 t + 5/6) + 55/6 sin(8 t + 14/5) + 212/13 sin(10 t + 24/7) + 26/9 sin(11 t + 9/2) + 16/5 sin(12 t + 25/6) + 35/17 sin(13 t + 4/11) + 15/8 sin(15 t + 7/10) + 2/3 sin(16 t + 20/9) + 16/7 sin(19 t + 4/5) + 13/7 sin(20 t + 29/7) + 14/3 sin(21 t + 7/5) + 4/3 sin(22 t + 7/4) + 12/7 sin(23 t + 34/33) + 7/4 sin(24 t + 27/7) - 211/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-61/38 sin(55/37 - 8 t) - 389/173 sin(167/111 - 5 t) - 445/36 sin(45/29 - 4 t) - 2754/35 sin(36/23 - t) + 61/29 sin(2 t + 43/28) + 93/58 sin(3 t + 89/19) + 40/7 sin(6 t + 45/28) + 57/20 sin(7 t + 49/30) + 6653/30) θ(43 π - t) θ(t - 39 π) + (1675/28 sin(t + 11/7) + 135/41 sin(2 t + 67/43) + 319/51 sin(3 t + 47/30) + 26/61 sin(4 t + 46/29) - 6844/49) θ(39 π - t) θ(t - 35 π) + (-35/23 sin(23/30 - 3 t) - 343/25 sin(32/25 - 2 t) - 654/7 sin(8/35 - t) + 29/6 sin(4 t + 78/35) + 156/37 sin(5 t + 5/8) - 8177/24) θ(35 π - t) θ(t - 31 π) + (-141/28 sin(14/27 - 4 t) + 1633/16 sin(t + 90/37) + 628/27 sin(2 t + 94/23) + 183/37 sin(3 t + 9/17) + 24/7 sin(5 t + 51/32) + 20687/36) θ(31 π - t) θ(t - 27 π) + (739/17 sin(t + 11/27) - 7330/29) θ(27 π - t) θ(t - 23 π) + (2261/20 sin(t + 41/55) - 8479/27) θ(23 π - t) θ(t - 19 π) + (-4327/28 sin(26/61 - t) - 10101/29) θ(19 π - t) θ(t - 15 π) + (1021/22 sin(t + 7/19) + 5493/20) θ(15 π - t) θ(t - 11 π) + (3323/30 sin(t + 21/32) + 5969/26) θ(11 π - t) θ(t - 7 π) + (1593/10 sin(t + 10/23) + 5197/26) θ(7 π - t) θ(t - 3 π) + (-58/117 sin(8/7 - 60 t) - 28/37 sin(10/59 - 54 t) - 27/34 sin(44/59 - 53 t) - 12/7 sin(24/95 - 46 t) - 26/35 sin(29/19 - 45 t) - 64/27 sin(2/3 - 40 t) - 39/19 sin(41/33 - 35 t) - 53/22 sin(3/13 - 34 t) - 42/23 sin(59/53 - 33 t) - 62/15 sin(11/29 - 28 t) - 199/35 sin(1/59 - 25 t) - 355/38 sin(13/18 - 19 t) - 367/110 sin(48/41 - 14 t) - 655/16 sin(17/50 - 9 t) - 2734/41 sin(17/32 - 5 t) + 8034/17 sin(t + 55/23) + 20755/92 sin(2 t + 19/12) + 3559/35 sin(3 t + 106/37) + 1805/31 sin(4 t + 169/40) + 152/13 sin(6 t + 153/46) + 754/17 sin(7 t + 133/32) + 245/41 sin(8 t + 14/27) + 173/13 sin(10 t + 153/92) + 2293/191 sin(11 t + 159/37) + 919/30 sin(12 t + 53/31) + 619/57 sin(13 t + 82/21) + 193/20 sin(15 t + 136/33) + 760/41 sin(16 t + 47/12) + 67/4 sin(17 t + 87/40) + 408/35 sin(18 t + 118/71) + 131/15 sin(20 t + 47/26) + 121/36 sin(21 t + 77/27) + 96/11 sin(22 t + 13/51) + 83/18 sin(23 t + 125/78) + 44/27 sin(24 t + 352/141) + 103/86 sin(26 t + 63/23) + 127/27 sin(27 t + 1112/247) + 54/17 sin(29 t + 88/23) + 53/38 sin(30 t + 34/13) + 68/25 sin(31 t + 14/33) + 137/39 sin(32 t + 5/22) + 42/25 sin(36 t + 73/24) + 49/19 sin(37 t + 1357/339) + 56/31 sin(38 t + 85/32) + 18/13 sin(39 t + 61/18) + 25/16 sin(41 t + 73/21) + 65/22 sin(42 t + 92/33) + 46/27 sin(43 t + 31/33) + 61/27 sin(44 t + 38/23) + 51/47 sin(47 t + 170/43) + 43/36 sin(48 t + 751/188) + 27/29 sin(49 t + 197/66) + 44/45 sin(50 t + 89/34) + 57/47 sin(51 t + 112/33) + 13/8 sin(52 t + 94/75) + 11/26 sin(55 t + 138/37) + 53/43 sin(56 t + 81/61) + 25/23 sin(57 t + 4/11) + 14/27 sin(58 t + 12/35) + 2/3 sin(59 t + 167/42) + 35/38 sin(61 t + 97/22) + 9/14 sin(62 t + 92/31) + 340/339 sin(63 t + 269/135) + 49/43 sin(64 t + 18/19) + 19/28 sin(65 t + 1/21) - 1239/20) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((271/17 sin(t + 127/27) + 3822/53 sin(2 t + 41/26) + 8/31 sin(3 t + 33/10) + 334/27 sin(4 t + 19/12) + 4/35 sin(5 t + 63/34) + 55/18 sin(6 t + 19/12) + 19/44 sin(7 t + 103/59) + 127/25 sin(8 t + 43/27) - 16162/31) θ(43 π - t) θ(t - 39 π) + (-676/31 sin(91/58 - t) + 322/37 sin(2 t + 107/68) + 14/9 sin(3 t + 179/38) + 12/7 sin(4 t + 36/23) - 4697/25) θ(39 π - t) θ(t - 35 π) + (-35/34 sin(15/14 - 5 t) - 316/33 sin(15/23 - 3 t) - 334/3 sin(80/53 - t) + 506/27 sin(2 t + 19/24) + 69/11 sin(4 t + 54/65) + 11219/21) θ(35 π - t) θ(t - 31 π) + (-59/13 sin(35/37 - 5 t) + 2417/22 sin(t + 138/37) + 539/24 sin(2 t + 184/79) + 99/29 sin(3 t + 9/34) + 26/5 sin(4 t + 4/25) + 23830/169) θ(31 π - t) θ(t - 27 π) + (5803/41 - 2543/59 sin(64/57 - t)) θ(27 π - t) θ(t - 23 π) + (1545/19 - 18545/152 sin(13/20 - t)) θ(23 π - t) θ(t - 19 π) + (7317/41 sin(t + 119/27) + 2243/31) θ(19 π - t) θ(t - 15 π) + (-1011/23 sin(35/31 - t) - 1164/31) θ(15 π - t) θ(t - 11 π) + (-4597/34 sin(11/14 - t) - 3958/37) θ(11 π - t) θ(t - 7 π) + (-12581/67 sin(31/29 - t) - 1595/14) θ(7 π - t) θ(t - 3 π) + (-11/23 sin(1/2 - 60 t) - 51/47 sin(35/44 - 59 t) - 26/37 sin(13/11 - 53 t) - 57/64 sin(6/13 - 52 t) - 11/14 sin(17/23 - 51 t) - 25/22 sin(53/39 - 45 t) - 42/11 sin(31/27 - 38 t) - 48/25 sin(54/49 - 35 t) - 20/47 sin(25/23 - 30 t) - 43/40 sin(29/41 - 29 t) - 46/35 sin(31/24 - 27 t) - 191/24 sin(79/157 - 20 t) - 411/29 sin(53/34 - 17 t) - 195/22 sin(36/37 - 16 t) - 533/33 sin(31/39 - 14 t) - 1121/26 sin(7/50 - 5 t) - 3477/25 sin(76/59 - 3 t) + 15553/31 sin(t + 31/8) + 16679/55 sin(2 t + 140/47) + 1756/33 sin(4 t + 104/35) + 3097/32 sin(6 t + 83/27) + 1322/45 sin(7 t + 89/19) + 1958/65 sin(8 t + 27/43) + 949/48 sin(9 t + 29/20) + 68/31 sin(10 t + 56/33) + 200/29 sin(11 t + 61/35) + 88/25 sin(12 t + 116/37) + 349/39 sin(13 t + 151/67) + 281/26 sin(15 t + 17/21) + 164/15 sin(18 t + 61/22) + 96/29 sin(19 t + 73/32) + 167/27 sin(21 t + 162/49) + 211/47 sin(22 t + 20/13) + 105/37 sin(23 t + 19/32) + 63/25 sin(24 t + 152/41) + 17/13 sin(25 t + 21/34) + 43/26 sin(26 t + 184/67) + 85/33 sin(28 t + 51/31) + 46/41 sin(31 t + 279/140) + 24/13 sin(32 t + 114/29) + 125/34 sin(33 t + 32/25) + 19/15 sin(34 t + 8/29) + 42/25 sin(36 t + 115/42) + 15/44 sin(37 t + 7/22) + 173/77 sin(39 t + 74/21) + 93/65 sin(40 t + 11/10) + 26/25 sin(41 t + 37/53) + 37/29 sin(42 t + 438/125) + 13/20 sin(43 t + 29/10) + 29/72 sin(44 t + 63/26) + 92/51 sin(46 t + 11/30) + 51/47 sin(47 t + 45/23) + 43/28 sin(48 t + 76/43) + 33/37 sin(49 t + 6/37) + 67/39 sin(50 t + 149/41) + 49/30 sin(54 t + 42/29) + 71/46 sin(55 t + 13/15) + 17/12 sin(56 t + 111/26) + 50/43 sin(57 t + 23/7) + 19/41 sin(58 t + 265/66) + 19/35 sin(61 t + 7/12) + 1/4 sin(62 t + 115/44) + 16/63 sin(63 t + 71/33) + 25/34 sin(64 t + 443/111) + 21/20 sin(65 t + 199/50) + 531/32) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((133/16 sin(t + 11/7) + 201/28 sin(2 t + 11/7) + 11/29 sin(3 t + 113/24) + 118/63 sin(4 t + 11/7) + 13/32 sin(5 t + 96/61) - 2351/14) θ(55 π - t) θ(t - 51 π) + (1381/49 sin(t + 63/40) + 95/8 sin(2 t + 30/19) + 1/3 sin(3 t + 147/32) + 131/36 sin(4 t + 19/12) + 4606/41) θ(51 π - t) θ(t - 47 π) + (-2/11 sin(39/34 - 12 t) - 102/25 sin(57/37 - 8 t) - 1132/27 sin(39/25 - 4 t) - 1367/29 sin(36/23 - t) + 1457/30 sin(2 t + 30/19) + 228/25 sin(3 t + 49/31) + 56/39 sin(5 t + 49/30) + 47/37 sin(6 t + 48/29) + 259/25 sin(7 t + 30/19) + 93/13 sin(9 t + 47/30) + 28/5 sin(10 t + 19/12) + 234/31 sin(11 t + 30/19) + 1465/22) θ(47 π - t) θ(t - 43 π) + (-16/21 sin(39/25 - 8 t) - 34/7 sin(36/23 - 7 t) - 469/138 sin(36/23 - 6 t) - 337/37 sin(58/37 - 3 t) + 178/13 sin(t + 11/7) + 131/23 sin(2 t + 52/33) + 39/16 sin(4 t + 68/43) + 23/26 sin(5 t + 47/10) + 37/31 sin(9 t + 113/24) + 1/69 sin(10 t + 35/8) + 13/35 sin(11 t + 103/22) + 33/50 sin(12 t + 27/17) - 534/11) θ(43 π - t) θ(t - 39 π) + (-69/38 sin(25/16 - 10 t) - 101/45 sin(20/13 - 8 t) - 25/34 sin(46/33 - 7 t) - 308/41 sin(95/61 - 4 t) - 428/27 sin(14/9 - 3 t) - 1435/52 sin(80/51 - 2 t) + 1055/28 sin(t + 11/7) + 143/29 sin(5 t + 49/31) + 194/47 sin(6 t + 80/17) + 3/26 sin(9 t + 95/21) + 2/9 sin(11 t + 59/46) + 29/42 sin(12 t + 80/17) + 614/21) θ(39 π - t) θ(t - 35 π) + (-33/37 sin(25/16 - 9 t) - 167/59 sin(73/47 - 3 t) - 113/38 sin(25/16 - 2 t) + 217/30 sin(t + 85/54) + 38/61 sin(4 t + 29/18) + 513/140 sin(5 t + 43/27) + 4/7 sin(6 t + 51/31) + 21/43 sin(7 t + 13/8) + 25/28 sin(8 t + 46/29) + 921/25) θ(35 π - t) θ(t - 31 π) + (-569/38 sin(11/7 - t) + 111/11 sin(2 t + 11/7) + 110/61 sin(3 t + 36/23) + 13/4 sin(4 t + 80/51) + 3/17 sin(5 t + 48/31) + 1555/31) θ(31 π - t) θ(t - 27 π) + (-4/17 sin(43/28 - 7 t) - 36/25 sin(14/9 - 6 t) - 74/147 sin(71/46 - 5 t) - 92/39 sin(25/16 - 4 t) - 21/16 sin(59/38 - 3 t) - 67/8 sin(47/30 - 2 t) + 646/41 sin(t + 11/7) + 68/7) θ(27 π - t) θ(t - 23 π) + (-19/12 sin(53/34 - 11 t) - 739/49 sin(53/34 - 5 t) - 626/37 sin(25/16 - t) + 851/22 sin(2 t + 41/26) + 944/55 sin(3 t + 23/15) + 3889/40 sin(4 t + 64/41) + 61/15 sin(6 t + 67/39) + 23/17 sin(7 t + 19/17) + 471/44 sin(8 t + 59/38) + 100/33 sin(9 t + 85/57) + 112/27 sin(10 t + 63/40) + 87/14 sin(12 t + 77/51) + 25/21 sin(13 t + 162/35) + 38/17 sin(14 t + 36/23) + 73/25 sin(15 t + 37/25) + 5/6 sin(16 t + 39/22) + 82/35 sin(17 t + 136/29) + 69/25 sin(18 t + 65/42) - 30315/106) θ(23 π - t) θ(t - 19 π) + (-15/29 sin(1/179 - 11 t) - 41/28 sin(39/40 - 3 t) - 110/17 sin(9/28 - t) + 63/23 sin(2 t + 144/53) + 64/37 sin(4 t + 32/19) + 35/19 sin(5 t + 34/37) + 33/31 sin(6 t + 113/32) + 31/63 sin(7 t + 22/25) + 49/73 sin(8 t + 157/44) + 11/19 sin(9 t + 14/47) + 19/27 sin(10 t + 212/71) + 3/11 sin(12 t + 94/35) - 268/25) θ(19 π - t) θ(t - 15 π) + (-4/37 sin(32/35 - 11 t) - 7/3 sin(9/32 - 5 t) - 43/49 sin(33/26 - 2 t) - 57/14 sin(7/15 - t) + 32/29 sin(3 t + 47/12) + 24/23 sin(4 t + 14/19) + 17/12 sin(6 t + 49/44) + 33/58 sin(7 t + 111/32) + 7/19 sin(8 t + 9/20) + 4/31 sin(9 t + 11/3) + 1/60 sin(10 t + 108/31) + 7/40 sin(12 t + 41/19) + 822/11) θ(15 π - t) θ(t - 11 π) + (-1/38 sin(63/55 - 11 t) + 567/29 sin(t + 87/44) + 136/35 sin(2 t + 54/19) + 91/31 sin(3 t + 18/13) + 64/57 sin(4 t + 69/16) + 44/39 sin(5 t + 289/124) + 23/35 sin(6 t + 79/21) + 10/23 sin(7 t + 221/111) + 2/23 sin(8 t + 63/17) + 9/55 sin(9 t + 175/51) + 5/13 sin(10 t + 57/17) + 1/15 sin(12 t + 23/5) - 1614/103) θ(11 π - t) θ(t - 7 π) + (-5/31 sin(43/34 - 9 t) - 11/10 sin(19/20 - 5 t) - 84/23 sin(14/41 - 2 t) - 1281/53 sin(11/9 - t) + 53/23 sin(3 t + 111/25) + 41/32 sin(4 t + 24/25) + 6/53 sin(6 t + 77/24) + 5/22 sin(7 t + 183/41) + 7/24 sin(8 t + 67/133) + 4/15 sin(10 t + 17/29) + 5/32 sin(11 t + 327/86) + 7/26 sin(12 t + 33/40) + 1872/23) θ(7 π - t) θ(t - 3 π) + (-3/11 sin(12/13 - 79 t) - 41/83 sin(69/53 - 72 t) - 13/66 sin(40/27 - 69 t) - 13/77 sin(23/28 - 66 t) - 2/9 sin(7/15 - 63 t) - 7/27 sin(11/12 - 60 t) - 11/37 sin(45/29 - 54 t) - 3/2 sin(36/23 - 53 t) - 51/38 sin(5/33 - 51 t) - 49/32 sin(4/33 - 33 t) - 96/23 sin(41/46 - 31 t) - 73/38 sin(14/19 - 30 t) - 279/46 sin(5/18 - 27 t) - 39/25 sin(31/41 - 18 t) - 74/21 sin(29/25 - 17 t) - 81/28 sin(23/18 - 15 t) - 584/27 sin(37/52 - 5 t) - 597/11 sin(15/11 - 3 t) + 5482/31 sin(t + 51/25) + 501/7 sin(2 t + 53/26) + 355/22 sin(4 t + 116/37) + 73/19 sin(6 t + 17/37) + 10/3 sin(7 t + 103/23) + 311/18 sin(8 t + 31/22) + 809/25 sin(9 t + 52/19) + 682/37 sin(10 t + 55/29) + 255/14 sin(11 t + 5/38) + 98/9 sin(12 t + 39/19) + 190/21 sin(13 t + 30/7) + 563/40 sin(14 t + 45/14) + 305/33 sin(16 t + 429/92) + 81/22 sin(19 t + 21/34) + 65/11 sin(20 t + 32/19) + 139/33 sin(21 t + 48/13) + 137/27 sin(22 t + 332/79) + 22/15 sin(23 t + 35/18) + 73/61 sin(24 t + 64/17) + 51/16 sin(25 t + 53/12) + 219/25 sin(26 t + 53/40) + 14/9 sin(28 t + 141/53) + 74/9 sin(29 t + 71/32) + 15/31 sin(32 t + 38/23) + 36/23 sin(34 t + 51/16) + 68/35 sin(35 t + 226/55) + 22/13 sin(36 t + 81/23) + 23/26 sin(37 t + 2/33) + 51/61 sin(38 t + 40/29) + 11/14 sin(39 t + 35/9) + 67/50 sin(40 t + 120/29) + 31/14 sin(41 t + 7/8) + 9/25 sin(42 t + 175/43) + 118/71 sin(43 t + 67/22) + 11/26 sin(44 t + 37/53) + 23/13 sin(45 t + 103/26) + 59/31 sin(46 t + 28/83) + 27/47 sin(47 t + 24/95) + 5/7 sin(48 t + 48/25) + 7/16 sin(49 t + 60/31) + 35/41 sin(50 t + 23/10) + 15/16 sin(52 t + 93/26) + 8/23 sin(55 t + 56/19) + 12/25 sin(56 t + 67/20) + 20/41 sin(57 t + 87/61) + 10/19 sin(58 t + 31/8) + 9/22 sin(59 t + 72/25) + 3/8 sin(61 t + 66/17) + 11/26 sin(62 t + 3/40) + 17/39 sin(64 t + 3/16) + 7/31 sin(65 t + 113/32) + 11/32 sin(67 t + 7/8) + 5/9 sin(68 t + 94/29) + 7/20 sin(70 t + 7/36) + 5/21 sin(71 t + 13/15) + 8/33 sin(73 t + 43/16) + 17/69 sin(74 t + 121/47) + 10/31 sin(75 t + 59/17) + 13/43 sin(76 t + 55/38) + 5/22 sin(77 t + 137/34) + 7/38 sin(78 t + 7/11) + 3/23 sin(80 t + 28/31) - 323/14) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-7/24 sin(39/25 - 5 t) - 31/24 sin(91/58 - 3 t) - 1140/53 sin(11/7 - t) + 141/65 sin(2 t + 69/44) + 3/29 sin(4 t + 8/5) + 3861/28) θ(55 π - t) θ(t - 51 π) + (-170/27 sin(25/16 - 3 t) - 1361/21 sin(58/37 - t) + 168/41 sin(2 t + 81/52) + 1/2 sin(4 t + 29/19) + 727/42) θ(51 π - t) θ(t - 47 π) + (-103/42 sin(53/34 - 12 t) - 149/41 sin(14/9 - 10 t) - 69/11 sin(25/16 - 8 t) - 61/32 sin(38/25 - 4 t) - 422/27 sin(31/20 - 3 t) + 1050/43 sin(t + 36/23) + 1359/11 sin(2 t + 52/33) + 122/25 sin(5 t + 207/44) + 45/16 sin(6 t + 47/10) + 81/23 sin(7 t + 221/47) + 36/17 sin(9 t + 108/23) + 7/50 sin(11 t + 194/47) - 5056/33) θ(47 π - t) θ(t - 43 π) + (-4/43 sin(376/251 - 12 t) - 1/5 sin(28/19 - 10 t) - 79/41 sin(36/23 - 4 t) - 127/27 sin(36/23 - 3 t) + 206/49 sin(t + 63/40) + 634/21 sin(2 t + 63/40) + 6/37 sin(5 t + 238/159) + 43/38 sin(6 t + 41/26) + 1/13 sin(7 t + 285/61) + 17/41 sin(8 t + 31/20) + 2/11 sin(9 t + 58/37) + 5/18 sin(11 t + 30/19) + 8143/38) θ(43 π - t) θ(t - 39 π) + (-32/39 sin(39/25 - 10 t) - 33/82 sin(37/24 - 9 t) - 16/35 sin(55/37 - 4 t) + 15/2 sin(t + 29/18) + 2795/51 sin(2 t + 11/7) + 610/111 sin(3 t + 75/16) + 33/67 sin(5 t + 16/11) + 25/27 sin(6 t + 61/37) + 1/19 sin(7 t + 30/13) + 27/32 sin(8 t + 19/12) + 17/26 sin(11 t + 107/68) + 33/47 sin(12 t + 25/16) + 3769/32) θ(39 π - t) θ(t - 35 π) + (-63/40 sin(31/20 - 5 t) - 44/19 sin(37/24 - 4 t) - 21/8 sin(59/38 - 3 t) - 32/65 sin(17/11 - 2 t) + 44/25 sin(t + 52/33) + 26/27 sin(6 t + 96/61) + 26/37 sin(7 t + 47/10) + 43/38 sin(8 t + 43/27) + 5/22 sin(9 t + 411/88) + 6115/28) θ(35 π - t) θ(t - 31 π) + (-16/21 sin(69/44 - 3 t) + 714/31 sin(t + 212/45) + 37/20 sin(2 t + 113/24) + 3/13 sin(4 t + 25/16) + 1/134 sin(5 t + 67/39) + 9338/33) θ(31 π - t) θ(t - 27 π) + (-69/34 sin(47/30 - 3 t) - 113/57 sin(39/25 - 2 t) - 759/29 sin(69/44 - t) + 44/35 sin(4 t + 41/26) + 9/40 sin(5 t + 30/19) + 22/41 sin(6 t + 43/27) + 12/23 sin(7 t + 49/31) + 8274/29) θ(27 π - t) θ(t - 23 π) + (-11/31 sin(7/5 - 18 t) - 67/31 sin(43/28 - 13 t) - 226/7 sin(113/72 - t) + 5985/44 sin(2 t + 193/41) + 1533/58 sin(3 t + 169/36) + 1849/56 sin(4 t + 47/10) + 626/27 sin(5 t + 45/29) + 352/13 sin(6 t + 37/24) + 564/19 sin(7 t + 131/28) + 101/38 sin(8 t + 37/8) + 385/39 sin(9 t + 3/2) + 143/50 sin(10 t + 329/72) + 121/32 sin(11 t + 145/31) + 247/47 sin(12 t + 37/24) + 61/31 sin(14 t + 134/29) + 50/41 sin(15 t + 43/28) + 3/14 sin(16 t + 23/37) + 2/15 sin(17 t + 186/49) - 1245/29) θ(23 π - t) θ(t - 19 π) + (-2/17 sin(3/14 - 8 t) - 7/19 sin(33/26 - 6 t) - 64/19 sin(1/4 - 3 t) + 121/23 sin(t + 3/25) + 117/35 sin(2 t + 137/37) + 117/29 sin(4 t + 22/7) + 42/13 sin(5 t + 1055/352) + 19/26 sin(7 t + 185/43) + 9/28 sin(9 t + 126/41) + 4/37 sin(10 t + 88/35) + 3/28 sin(11 t + 163/68) + 1/9 sin(12 t + 51/19) + 6677/24) θ(19 π - t) θ(t - 15 π) + (-11/31 sin(22/29 - 11 t) - 3/25 sin(21/31 - 9 t) - 49/122 sin(109/87 - 7 t) - 133/71 sin(15/13 - 3 t) + 107/53 sin(t + 25/27) + 133/132 sin(2 t + 49/30) + 131/56 sin(4 t + 89/44) + 142/43 sin(5 t + 5/29) + 15/17 sin(6 t + 17/12) + 17/43 sin(8 t + 54/13) + 31/72 sin(10 t + 111/35) + 17/38 sin(12 t + 397/119) + 13801/50) θ(15 π - t) θ(t - 11 π) + (-1/7 sin(32/35 - 11 t) - 10/43 sin(43/34 - 9 t) - 10/33 sin(3/8 - 7 t) - 11/24 sin(7/20 - 4 t) - 46/25 sin(32/33 - 3 t) + 752/35 sin(t + 248/55) + 39/19 sin(2 t + 52/23) + 13/37 sin(5 t + 97/24) + 5/28 sin(6 t + 67/32) + 29/72 sin(8 t + 21/22) + 7/25 sin(10 t + 46/21) + 3/14 sin(12 t + 17/15) + 11477/41) θ(11 π - t) θ(t - 7 π) + (-1/5 sin(44/43 - 11 t) - 1/13 sin(29/25 - 10 t) - 5/16 sin(52/37 - 9 t) - 15/31 sin(35/39 - 7 t) - 197/69 sin(14/11 - 3 t) + 233/11 sin(t + 251/57) + 40/19 sin(2 t + 19/7) + 9/29 sin(4 t + 69/19) + 15/19 sin(5 t + 175/41) + 12/25 sin(6 t + 77/115) + 1/43 sin(8 t + 23/30) + 1/9 sin(12 t + 207/50) + 3671/13) θ(7 π - t) θ(t - 3 π) + (-8/31 sin(47/41 - 79 t) - 7/15 sin(66/131 - 78 t) - 11/45 sin(21/40 - 77 t) - 1/4 sin(2/23 - 74 t) - 9/23 sin(41/28 - 72 t) - 17/42 sin(3/34 - 70 t) - 53/74 sin(6/7 - 68 t) - 23/29 sin(17/13 - 58 t) - 12/49 sin(5/21 - 57 t) - 10/27 sin(3/2 - 55 t) - 43/34 sin(52/37 - 52 t) - 19/28 sin(5/13 - 49 t) - 54/35 sin(59/44 - 46 t) - 20/13 sin(55/38 - 42 t) - 62/37 sin(17/41 - 38 t) - 443/148 sin(16/11 - 30 t) - 17/3 sin(27/19 - 26 t) - 119/19 sin(33/31 - 23 t) - 1447/193 sin(5/26 - 18 t) - 44/5 sin(5/24 - 14 t) - 120/41 sin(12/11 - 13 t) - 457/43 sin(44/31 - 10 t) - 243/85 sin(9/53 - 9 t) - 2998/23 sin(12/37 - 3 t) + 22027/56 sin(t + 1/16) + 2073/35 sin(2 t + 11/41) + 821/27 sin(4 t + 45/28) + 1282/33 sin(5 t + 536/119) + 779/54 sin(6 t + 57/16) + 749/34 sin(7 t + 7/4) + 401/38 sin(8 t + 44/31) + 418/53 sin(11 t + 63/32) + 69/16 sin(12 t + 137/38) + 49/26 sin(15 t + 41/61) + 538/95 sin(16 t + 45/14) + 595/61 sin(17 t + 119/38) + 355/69 sin(19 t + 63/20) + 118/33 sin(20 t + 49/44) + 127/28 sin(21 t + 51/61) + 153/44 sin(22 t + 55/27) + 130/31 sin(24 t + 32/11) + 135/31 sin(25 t + 31/15) + 73/45 sin(27 t + 81/20) + 37/23 sin(28 t + 36/73) + 119/32 sin(29 t + 27/23) + 70/39 sin(31 t + 140/41) + 149/64 sin(32 t + 34/27) + 67/30 sin(33 t + 114/25) + 50/31 sin(34 t + 23/22) + 28/27 sin(35 t + 83/21) + 328/101 sin(36 t + 142/33) + 31/15 sin(37 t + 25/29) + 29/19 sin(39 t + 117/46) + 53/29 sin(40 t + 82/49) + 15/34 sin(41 t + 7/57) + 39/44 sin(43 t + 26/33) + 28/27 sin(44 t + 86/35) + 205/63 sin(45 t + 115/33) + 39/20 sin(47 t + 10/13) + 19/28 sin(48 t + 37/27) + 32/29 sin(50 t + 10/9) + 26/33 sin(51 t + 59/15) + 50/41 sin(53 t + 65/32) + 1/10 sin(54 t + 15/29) + 13/35 sin(56 t + 60/41) + 4/17 sin(59 t + 17/9) + 7/25 sin(60 t + 657/329) + 12/47 sin(61 t + 5/22) + 5/19 sin(62 t + 151/42) + 13/33 sin(63 t + 47/33) + 5/28 sin(64 t + 73/19) + 8/21 sin(65 t + 79/27) + 17/42 sin(66 t + 10/3) + 18/29 sin(67 t + 13/7) + 8/47 sin(69 t + 23/35) + 22/27 sin(71 t + 82/21) + 19/37 sin(73 t + 72/25) + 1/12 sin(75 t + 116/35) + 8/13 sin(76 t + 19/11) + 19/25 sin(80 t + 83/28) - 2134/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
パラメトリック方程式
x(t) = ((-11/10 sin(11/7 - 10 t) - 27/4 sin(11/7 - 9 t) - 143/12 sin(11/7 - 6 t) - 162/7 sin(11/7 - 5 t) - 1399/8 sin(8/5 - 2 t) - 1232/5 sin(8/5 - t) + 132/7 sin(3 t + 33/7) + 8/7 sin(4 t + 14/3) + 23/7 sin(7 t + 8/5) + 41/10 sin(8 t + 33/7) + 4/3 sin(11 t + 8/5) + 8/3 sin(12 t + 14/3) - 704) θ(127 π - t) θ(t - 123 π) + (-215/6 sin(11/7 - 3 t) - 614/5 sin(11/7 - 2 t) + 188/5 sin(t + 8/5) + 169/3 sin(4 t + 8/5) + 9/2 sin(5 t + 5/3) + 55/4 sin(6 t + 8/5) + 13/5 sin(7 t + 23/5) + 35/4 sin(8 t + 8/5) + 16/5 sin(9 t + 14/3) + 9 sin(10 t + 8/5) + 3 sin(11 t + 7/4) + 36/5 sin(12 t + 8/5) + 624) θ(123 π - t) θ(t - 119 π) + (-8/5 sin(13/9 - 33 t) - 7/5 sin(10/7 - 29 t) - 25/4 sin(3/2 - 28 t) - 64/13 sin(4/3 - 27 t) - 76/7 sin(10/7 - 24 t) - 15/2 sin(10/7 - 21 t) - 27/7 sin(11/7 - 19 t) - 6 sin(7/5 - 16 t) - 179/7 sin(3/2 - 15 t) - sin(6/5 - 14 t) - 107/7 sin(3/2 - 13 t) - 7/4 sin(5/4 - 12 t) - 38/3 sin(14/9 - 11 t) + 391/26 sin(t + 8/5) + 163/7 sin(2 t + 8/5) + 18 sin(3 t + 8/5) + 117/5 sin(4 t + 8/5) + 191/10 sin(5 t + 8/5) + 105/4 sin(6 t + 8/5) + 9 sin(7 t + 8/5) + 37/2 sin(8 t + 8/5) + 38/7 sin(9 t + 5/3) + 5/4 sin(10 t + 5/4) + 2 sin(17 t + 14/3) + 7/6 sin(18 t + 14/15) + 7/2 sin(20 t + 8/5) + 11/2 sin(22 t + 12/7) + 1/3 sin(23 t + 5/7) + 40/3 sin(25 t + 5/3) + 21/8 sin(26 t + 14/3) + 5 sin(30 t + 5/3) + 25/7 sin(31 t + 11/6) + 54/11 sin(32 t + 5/3) + 3299/10) θ(119 π - t) θ(t - 115 π) + (-33/5 sin(11/7 - 26 t) - 97/7 sin(11/7 - 21 t) - 22/5 sin(14/9 - 16 t) - 13/2 sin(3/2 - 15 t) - 19/2 sin(11/7 - 14 t) - 42/5 sin(8/5 - 3 t) - 38/5 sin(11/7 - 2 t) - 67/5 sin(8/5 - t) + 64/9 sin(4 t + 8/5) + 11/2 sin(5 t + 8/5) + 18 sin(6 t + 8/5) + 32/3 sin(7 t + 8/5) + 27 sin(8 t + 8/5) + 10 sin(9 t + 8/5) + 138/5 sin(10 t + 8/5) + 419/22 sin(11 t + 8/5) + 152/5 sin(12 t + 8/5) + sin(13 t + 5/3) + 91/10 sin(17 t + 33/7) + 41/4 sin(18 t + 8/5) + 68/9 sin(19 t + 8/5) + 13/7 sin(20 t + 11/7) + 49/6 sin(22 t + 11/7) + 83/14 sin(23 t + 8/5) + 22/5 sin(24 t + 14/3) + 31/4 sin(25 t + 8/5) + 91/10) θ(115 π - t) θ(t - 111 π) + (-4/7 sin(8/5 - 12 t) - 1/3 sin(11/7 - 9 t) - 7/5 sin(11/7 - 5 t) - 89/4 sin(8/5 - 2 t) + 39/7 sin(t + 33/7) + 53/5 sin(3 t + 8/5) + 31/8 sin(4 t + 8/5) + 23/8 sin(6 t + 33/7) + 13/5 sin(7 t + 8/5) + 1/9 sin(8 t + 8/5) + 1/11 sin(10 t + 3/2) + 6/7 sin(11 t + 8/5) - 1687/5) θ(111 π - t) θ(t - 107 π) + (-3/7 sin(8/5 - 12 t) - 3/7 sin(11/7 - 10 t) - 3/7 sin(11/7 - 8 t) - 43/21 sin(11/7 - 6 t) - 49/6 sin(8/5 - 3 t) - 7/2 sin(11/7 - t) + 2/5 sin(2 t + 14/3) + 47/12 sin(4 t + 33/7) + 18/7 sin(5 t + 8/5) + 2/3 sin(7 t + 8/5) + 1/2 sin(9 t + 11/7) + 1/4 sin(11 t + 8/5) + 526/3) θ(107 π - t) θ(t - 103 π) + (-101/25 sin(8/5 - 4 t) - 63/4 sin(11/7 - t) + 404/5 sin(2 t + 8/5) + 27/5 sin(3 t + 8/5) + 18/7 sin(5 t + 33/7) + 41/5 sin(6 t + 8/5) + 15/8 sin(7 t + 8/5) + 1/2 sin(8 t + 14/3) + 6/5 sin(9 t + 14/3) + 13/5 sin(10 t + 8/5) + 4/3 sin(11 t + 11/7) + 378/5) θ(103 π - t) θ(t - 99 π) + (-47/8 sin(11/7 - 10 t) - 81/5 sin(8/5 - 7 t) - 58/19 sin(8/5 - 5 t) + 1578/5 sin(t + 8/5) + 321/5 sin(2 t + 8/5) + 193/12 sin(3 t + 8/5) + 3/4 sin(4 t + 14/3) + 229/12 sin(6 t + 8/5) + 31/5 sin(8 t + 8/5) + 14/3 sin(9 t + 8/5) + 13/5 sin(11 t + 8/5) + 1/4 sin(12 t + 11/7) + 73/5) θ(99 π - t) θ(t - 95 π) + (-9/5 sin(11/7 - 11 t) - 16/15 sin(11/7 - 10 t) - 12/11 sin(11/7 - 9 t) - 5/3 sin(11/7 - 8 t) - 13/3 sin(11/7 - 7 t) - 14/5 sin(11/7 - 6 t) - 23/2 sin(11/7 - 5 t) - 78/5 sin(8/5 - 3 t) + 276/7 sin(t + 8/5) + 239/10 sin(2 t + 8/5) + 59/5 sin(4 t + 8/5) + 8/9 sin(12 t + 11/7) - 2278/5) θ(95 π - t) θ(t - 91 π) + (-5/4 sin(4/3 - 24 t) - 11/2 sin(3/2 - 23 t) - 23/3 sin(3/2 - 22 t) - 9/5 sin(11/7 - 19 t) - 15/7 sin(3/2 - 17 t) - 103/7 sin(11/7 - 16 t) - 32/5 sin(3/2 - 15 t) - 63/4 sin(11/7 - 13 t) - 9/5 sin(3/2 - 12 t) - 192/7 sin(11/7 - 10 t) - 5/7 sin(11/7 - 8 t) - 377/3 sin(8/5 - 2 t) - 4671/16 sin(8/5 - t) + 2117/23 sin(3 t + 8/5) + 257/7 sin(4 t + 8/5) + 27/4 sin(5 t + 14/3) + 11 sin(6 t + 8/5) + 77/6 sin(7 t + 8/5) + 43/5 sin(9 t + 8/5) + 53/4 sin(11 t + 8/5) + 19/3 sin(14 t + 11/7) + 41/6 sin(18 t + 8/5) + 8/5 sin(20 t + 8/5) + 25/8 sin(21 t + 11/7) - 106) θ(91 π - t) θ(t - 87 π) + (-14/3 sin(3/2 - 20 t) - 132/19 sin(3/2 - 19 t) - 79/10 sin(11/7 - 14 t) - 45/11 sin(11/7 - 13 t) - 17/5 sin(11/7 - 10 t) - 343/6 sin(11/7 - 7 t) - 157/6 sin(11/7 - 6 t) + 16/7 sin(t + 8/5) + 28/3 sin(2 t + 8/5) + 38/5 sin(3 t + 8/5) + 200/7 sin(4 t + 8/5) + 7/5 sin(5 t + 11/6) + 67/4 sin(8 t + 8/5) + 39/5 sin(9 t + 33/7) + 13/3 sin(11 t + 5/3) + 27/5 sin(12 t + 33/7) + 21/5 sin(15 t + 5/3) + 7/6 sin(16 t + 23/5) + 23/4 sin(17 t + 5/3) + 13/6 sin(18 t + 12/7) + 518/11) θ(87 π - t) θ(t - 83 π) + (-9/2 sin(3/2 - 12 t) - 5 sin(3/2 - 11 t) - 179/20 sin(11/7 - 9 t) - 47/2 sin(11/7 - 4 t) - 33/5 sin(11/7 - 2 t) + 23/5 sin(t + 11/7) + 301/20 sin(3 t + 11/7) + 16/3 sin(5 t + 5/3) + 161/2 sin(6 t + 8/5) + 15/7 sin(7 t + 22/5) + 45/4 sin(8 t + 8/5) + 35/6 sin(10 t + 11/7) + 5697/16) θ(83 π - t) θ(t - 79 π) + (-94/19 sin(11/7 - 41 t) - 14/3 sin(3/2 - 38 t) - 12/11 sin(7/5 - 37 t) - 52/5 sin(11/7 - 31 t) - 56/5 sin(11/7 - 30 t) - 31/3 sin(11/7 - 25 t) - 14 sin(3/2 - 24 t) - 141/5 sin(11/7 - 22 t) - 38/7 sin(3/2 - 19 t) - 91/3 sin(11/7 - 16 t) - 151/3 sin(11/7 - 15 t) - 77/2 sin(11/7 - 13 t) - 75/2 sin(11/7 - 11 t) - 19/2 sin(11/7 - 6 t) - 417/5 sin(11/7 - 3 t) + 891/5 sin(t + 8/5) + 1115/3 sin(2 t + 8/5) + 34/11 sin(4 t + 23/5) + 116/3 sin(5 t + 33/7) + 248/5 sin(7 t + 8/5) + 10/9 sin(8 t + 4/3) + 91/4 sin(9 t + 8/5) + 100/9 sin(10 t + 14/3) + 511/8 sin(12 t + 8/5) + 109/4 sin(14 t + 8/5) + 52/7 sin(17 t + 33/7) + 83/5 sin(18 t + 8/5) + 243/11 sin(20 t + 13/8) + 3/4 sin(21 t + 32/7) + 59/4 sin(23 t + 8/5) + 14/5 sin(26 t + 7/4) + 31/4 sin(27 t + 8/5) + 61/7 sin(28 t + 8/5) + 6/5 sin(29 t + 12/7) + 41/5 sin(32 t + 8/5) + 54/7 sin(33 t + 8/5) + 9/4 sin(34 t + 5/3) + 16/5 sin(35 t + 14/3) + 55/18 sin(36 t + 5/3) + 5/4 sin(39 t + 32/7) + 2/3 sin(40 t + 22/5) + 71) θ(79 π - t) θ(t - 75 π) + (-9/7 sin(3/2 - 22 t) - 3/2 sin(13/9 - 21 t) - 7 sin(11/7 - 18 t) - 42/5 sin(14/9 - 17 t) - 115/3 sin(11/7 - 9 t) - 119/5 sin(11/7 - 7 t) - 10 sin(11/7 - 5 t) - 8/3 sin(11/7 - 3 t) - 41/7 sin(8/5 - 2 t) + 41/4 sin(t + 8/5) + 7/6 sin(4 t + 14/3) + 97/12 sin(6 t + 11/7) + 85/4 sin(8 t + 11/7) + 62/5 sin(10 t + 8/5) + 4/3 sin(11 t + 8/5) + 1/3 sin(12 t + 5/2) + 109/5 sin(13 t + 8/5) + 55/8 sin(14 t + 8/5) + 1/5 sin(15 t + 23/8) + 32/7 sin(16 t + 11/7) + 55/6 sin(19 t + 8/5) + 39/5 sin(20 t + 8/5) + 59/10 sin(23 t + 5/3) + 2/3 sin(24 t + 8/5) - 3026/7) θ(75 π - t) θ(t - 71 π) + (-39/20 sin(11/7 - 11 t) - 19/7 sin(8/5 - 9 t) - 41/9 sin(11/7 - 7 t) - 53/6 sin(11/7 - 5 t) - 1435/6 sin(8/5 - t) + 23/7 sin(2 t + 3/2) + 199/8 sin(3 t + 33/7) + 3/2 sin(4 t + 3/2) + 2/3 sin(6 t + 11/7) + 1/3 sin(8 t + 8/5) + 1/6 sin(10 t + 4/3) - 419/10) θ(71 π - t) θ(t - 67 π) + (-17/4 sin(11/7 - 32 t) - 47/16 sin(3/2 - 27 t) - 13/4 sin(11/7 - 25 t) - 13/6 sin(3/2 - 19 t) - 103/5 sin(11/7 - 17 t) - 307/5 sin(8/5 - 6 t) - 857/5 sin(8/5 - t) + 177 sin(2 t + 8/5) + 711/4 sin(3 t + 8/5) + 331/2 sin(4 t + 33/7) + 1513/12 sin(5 t + 8/5) + 276/7 sin(7 t + 33/7) + 217/9 sin(8 t + 8/5) + 36 sin(9 t + 33/7) + 185/6 sin(10 t + 11/7) + 47/2 sin(11 t + 11/7) + 421/14 sin(12 t + 11/7) + 44/3 sin(13 t + 33/7) + 147/5 sin(14 t + 33/7) + 32/7 sin(15 t + 3/2) + 122/5 sin(16 t + 11/7) + 55/14 sin(18 t + 23/5) + 181/8 sin(20 t + 8/5) + 9/2 sin(21 t + 11/7) + 8/3 sin(22 t + 8/5) + 13/3 sin(23 t + 11/7) + 51/7 sin(24 t + 8/5) + 31/4 sin(26 t + 8/5) + 7/4 sin(28 t + 5/3) + 91/10 sin(29 t + 33/7) + 31/16 sin(30 t + 14/3) + 1/5 sin(31 t + 6/7) + 29/4 sin(33 t + 14/3) - 6818/17) θ(67 π - t) θ(t - 63 π) + (-1/6 sin(4/3 - 15 t) - 23/8 sin(11/7 - 14 t) - 4/3 sin(3/2 - 9 t) - 88/5 sin(11/7 - 8 t) - 44/5 sin(11/7 - 5 t) - 671/16 sin(8/5 - t) + 307/5 sin(2 t + 8/5) + 43/4 sin(3 t + 8/5) + 37/7 sin(4 t + 11/7) + 24/7 sin(6 t + 14/3) + 49/3 sin(7 t + 8/5) + 31/15 sin(10 t + 8/5) + 153/19 sin(11 t + 8/5) + 3 sin(12 t + 8/5) + 31/4 sin(13 t + 8/5) + 61/10 sin(16 t + 8/5) + 14/5 sin(17 t + 8/5) + 5/6 sin(18 t + 14/9) + 6/5 sin(19 t + 11/7) + 1423/3) θ(63 π - t) θ(t - 59 π) + (-1/5 sin(7/5 - 10 t) - 116/7 sin(11/7 - 9 t) - 103/4 sin(11/7 - 7 t) - 89/7 sin(11/7 - 5 t) - 43/3 sin(11/7 - 4 t) - 14 sin(8/5 - 3 t) + 179/3 sin(t + 8/5) + 109/6 sin(2 t + 8/5) + 59/9 sin(6 t + 8/5) + 1/2 sin(8 t + 5/3) + 111/14 sin(11 t + 8/5) + 25/7 sin(12 t + 11/7) + 970/3) θ(59 π - t) θ(t - 55 π) + (-11/5 sin(11/7 - 20 t) - 7/8 sin(3/2 - 15 t) - 13/5 sin(11/7 - 13 t) - 11/2 sin(11/7 - 12 t) - 91/5 sin(8/5 - 9 t) - 169/5 sin(11/7 - 6 t) - 29/7 sin(8/5 - 4 t) - 391/4 sin(11/7 - 3 t) + 1091/12 sin(t + 8/5) + 269/2 sin(2 t + 8/5) + 7 sin(5 t + 33/7) + 96/5 sin(7 t + 33/7) + 17/5 sin(8 t + 8/5) + 5/2 sin(10 t + 14/3) + 7/4 sin(11 t + 8/5) + 16/7 sin(14 t + 11/7) + 12/5 sin(16 t + 8/5) + 2/5 sin(17 t + 9/2) + 6/5 sin(18 t + 14/3) + 13/6 sin(19 t + 33/7) + 1/2 sin(21 t + 33/7) + 7/3 sin(22 t + 8/5) + 15/14 sin(23 t + 11/7) + 13/5 sin(24 t + 11/7) + 5/3 sin(25 t + 8/5) + 3136/11) θ(55 π - t) θ(t - 51 π) + (-59/3 sin(11/7 - 6 t) - 707/6 sin(11/7 - 3 t) - 1185/7 sin(8/5 - t) + 193/4 sin(2 t + 8/5) + 184/5 sin(4 t + 8/5) + 79/16 sin(5 t + 33/7) + 105/26 sin(7 t + 8/5) + 129/4 sin(8 t + 8/5) + 39/4 sin(9 t + 8/5) + 16/5 sin(10 t + 11/7) + 1/3 sin(11 t + 7/4) + 29/7 sin(12 t + 11/7) - 427) θ(51 π - t) θ(t - 47 π) + (-13/2 sin(11/7 - 8 t) - 21/4 sin(8/5 - 7 t) - 24/5 sin(11/7 - 6 t) - 181/15 sin(11/7 - 5 t) - 301/5 sin(11/7 - 3 t) - 301/12 sin(11/7 - 2 t) + 367/5 sin(t + 8/5) + 463/21 sin(4 t + 8/5) + 7/5 sin(9 t + 5/3) + 309/28 sin(10 t + 8/5) + 43/7 sin(11 t + 8/5) + 17/2 sin(12 t + 8/5) - 5066/5) θ(47 π - t) θ(t - 43 π) + (-1/6 sin(11/7 - 25 t) - 1/2 sin(11/7 - 24 t) - 1/7 sin(3/2 - 17 t) - 3/2 sin(11/7 - 16 t) - 14/5 sin(11/7 - 12 t) - 4/5 sin(3/2 - 11 t) - 25/13 sin(3/2 - 7 t) - 39/8 sin(11/7 - 6 t) - 39 sin(8/5 - 2 t) + 125/6 sin(t + 8/5) + 1/5 sin(3 t + 41/9) + 38/7 sin(4 t + 8/5) + 66/13 sin(5 t + 8/5) + 31/4 sin(8 t + 8/5) + 9 sin(9 t + 8/5) + 13/6 sin(10 t + 8/5) + 8/7 sin(13 t + 33/7) + 1/5 sin(14 t + 9/5) + 3/5 sin(15 t + 14/3) + 3/7 sin(18 t + 11/7) + 1/2 sin(19 t + 11/7) + 3/5 sin(20 t + 11/7) + 3/5 sin(21 t + 11/7) + 1/2 sin(22 t + 11/7) + 1/4 sin(23 t + 8/5) + 1/3 sin(27 t + 8/5) - 4324/5) θ(43 π - t) θ(t - 39 π) + (-3/7 sin(10/7 - 12 t) - 2/3 sin(3/2 - 10 t) - 50/9 sin(8/5 - 8 t) - 7/6 sin(11/7 - 6 t) - 100/3 sin(8/5 - t) + 296/5 sin(2 t + 33/7) + 8/7 sin(3 t + 8/5) + 111/11 sin(4 t + 33/7) + 33 sin(5 t + 8/5) + 27/5 sin(7 t + 33/7) + 19/3 sin(9 t + 8/5) + 79/6 sin(11 t + 33/7) + 13/5 sin(13 t + 11/7) + 43/11 sin(14 t + 33/7) + 16/3 sin(15 t + 11/7) + 1/3 sin(16 t + 8/5) + 1/11 sin(17 t + 13/3) + 4 sin(18 t + 11/7) + 1/5 sin(19 t + 9/2) + 10/7 sin(20 t + 8/5) + 8/3 sin(21 t + 11/7) + 7/4 sin(22 t + 8/5) + 2/7 sin(23 t + 33/7) + 2 sin(24 t + 11/7) + 5/3 sin(25 t + 14/3) - 2110/3) θ(39 π - t) θ(t - 35 π) + (-5/6 sin(11/7 - 26 t) - 2 sin(11/7 - 23 t) - 2 sin(11/7 - 22 t) - 10/7 sin(11/7 - 20 t) - 3 sin(11/7 - 17 t) - 19/3 sin(11/7 - 16 t) - 7/8 sin(11/7 - 13 t) - 11/6 sin(11/7 - 12 t) - 18/5 sin(11/7 - 11 t) - 77/13 sin(11/7 - 10 t) - 14/5 sin(11/7 - 9 t) - 29/7 sin(8/5 - 8 t) - 289/16 sin(11/7 - 3 t) + 117/4 sin(t + 8/5) + 313/7 sin(2 t + 8/5) + 17/5 sin(4 t + 8/5) + 151/6 sin(5 t + 8/5) + 11/5 sin(6 t + 8/5) + 58/7 sin(7 t + 8/5) + 4/9 sin(14 t + 8/5) + 21/5 sin(15 t + 8/5) + 1/2 sin(18 t + 14/3) + 1/13 sin(19 t + 14/3) + 5/7 sin(21 t + 8/5) + 1/2 sin(24 t + 14/3) + 1/2 sin(25 t + 8/5) - 4019/5) θ(35 π - t) θ(t - 31 π) + (-8/5 sin(3/2 - 27 t) - 18/7 sin(11/7 - 21 t) - 5/6 sin(3/2 - 20 t) - 5/2 sin(11/7 - 19 t) - 3/4 sin(3/2 - 18 t) - 32/3 sin(11/7 - 11 t) - 4/9 sin(4/3 - 10 t) - 165/7 sin(11/7 - 4 t) - 639/4 sin(11/7 - 3 t) + 987/5 sin(t + 8/5) + 677/4 sin(2 t + 8/5) + 23/3 sin(5 t + 14/3) + 59/5 sin(6 t + 8/5) + 7 sin(7 t + 33/7) + 67/4 sin(8 t + 8/5) + 1/2 sin(9 t + 9/2) + 2/5 sin(12 t + 4/3) + 14/5 sin(13 t + 14/3) + 5/3 sin(14 t + 11/7) + 1/7 sin(15 t + 3) + 5 sin(16 t + 8/5) + 1/6 sin(17 t + 13/3) + 3/4 sin(22 t + 3/2) + 5/6 sin(23 t + 7/4) + 5/4 sin(24 t + 8/5) + 4/7 sin(25 t + 14/3) + 4/9 sin(26 t + 12/7) - 5931/7) θ(31 π - t) θ(t - 27 π) + (-1/5 sin(1 - 12 t) - 15 sin(11/7 - 11 t) - 22/5 sin(14/9 - 9 t) - 19/3 sin(11/7 - 5 t) - 72/5 sin(11/7 - 4 t) - 209 sin(8/5 - 3 t) + 1389/5 sin(t + 8/5) + 671/4 sin(2 t + 8/5) + 51/4 sin(6 t + 8/5) + 91/15 sin(7 t + 14/3) + 83/4 sin(8 t + 8/5) + 8/3 sin(10 t + 33/7) - 4769/6) θ(27 π - t) θ(t - 23 π) + (-5/2 sin(11/7 - 10 t) - 8/5 sin(7/5 - 9 t) - 255/4 sin(11/7 - 2 t) + 228 sin(t + 8/5) + 140/3 sin(3 t + 8/5) + 101/4 sin(4 t + 8/5) + 67/2 sin(5 t + 8/5) + 101/7 sin(6 t + 8/5) + 111/7 sin(7 t + 8/5) + 1/5 sin(8 t + 30/7) + 24/7 sin(11 t + 8/5) + 3/5 sin(12 t + 32/7) + 5112/5) θ(23 π - t) θ(t - 19 π) + (-15/4 sin(11/7 - 14 t) - 32/5 sin(8/5 - 12 t) - 27/2 sin(11/7 - 4 t) + 1807/7 sin(t + 33/7) + 215 sin(2 t + 33/7) + 568/3 sin(3 t + 8/5) + 102/5 sin(5 t + 8/5) + 99/4 sin(6 t + 11/7) + 71/4 sin(7 t + 8/5) + 169/10 sin(8 t + 33/7) + 13/4 sin(9 t + 8/5) + 7/4 sin(10 t + 3/2) + 17/6 sin(11 t + 11/7) + 40/9 sin(13 t + 11/7) + 33/5 sin(15 t + 14/3) + 33/5 sin(16 t + 33/7) + 35/6 sin(17 t + 14/3) + 27/2 sin(18 t + 33/7) + 33/5 sin(19 t + 33/7) + 2912/3) θ(19 π - t) θ(t - 15 π) + (-7601/21 sin(8/5 - t) + 527/11 sin(2 t + 8/5) + 11/2 sin(3 t + 33/7) + 97/4 sin(4 t + 8/5) + 17/4 sin(5 t + 8/5) + 81/7 sin(6 t + 8/5) + 20/3 sin(7 t + 8/5) + 100/11 sin(8 t + 8/5) + 53/9 sin(9 t + 8/5) + 6 sin(10 t + 8/5) + 12/5 sin(11 t + 8/5) + 7/4 sin(12 t + 11/7) - 2282/5) θ(15 π - t) θ(t - 11 π) + (-3 sin(3/2 - 19 t) - 81/20 sin(10/7 - 18 t) - 3/5 sin(2/5 - 17 t) - 55/9 sin(14/9 - 16 t) - 46/5 sin(3/2 - 14 t) - 27/2 sin(3/2 - 13 t) - 37 sin(14/9 - 9 t) - 53/13 sin(6/5 - 8 t) - 102/7 sin(11/7 - 7 t) - 220/13 sin(11/7 - 5 t) - 298/11 sin(3/2 - 4 t) - 3169/16 sin(11/7 - 3 t) - 4031/10 sin(11/7 - 2 t) + 1609/5 sin(t + 8/5) + 68/5 sin(6 t + 8/5) + 120/7 sin(10 t + 8/5) + 48/5 sin(11 t + 33/7) + 55/8 sin(12 t + 3/2) + 48/5 sin(15 t + 8/5) - 2054/5) θ(11 π - t) θ(t - 7 π) + (-18/5 sin(14/9 - 16 t) - 19/7 sin(11/7 - 15 t) - 125/7 sin(11/7 - 9 t) - 82/5 sin(11/7 - 7 t) - 180/7 sin(11/7 - 6 t) - 304/7 sin(11/7 - 4 t) - 157/2 sin(11/7 - 3 t) + 1508/11 sin(t + 8/5) + 284/5 sin(2 t + 8/5) + 37/12 sin(5 t + 14/3) + 25/3 sin(8 t + 8/5) + 80/7 sin(10 t + 8/5) + sin(11 t + 33/7) + 8/5 sin(12 t + 11/7) + 23/8 sin(13 t + 33/7) + 2/3 sin(14 t + 3/2) + 1/6 sin(17 t + 33/7) - 5264/5) θ(7 π - t) θ(t - 3 π) + (-15/4 sin(11/7 - 17 t) - 10/3 sin(11/7 - 16 t) - 25/13 sin(11/7 - 15 t) - 3 sin(11/7 - 12 t) - 73/7 sin(11/7 - 10 t) - 171/17 sin(11/7 - 9 t) - 72 sin(11/7 - 5 t) - 661/6 sin(8/5 - 2 t) + 57 sin(t + 8/5) + 67/4 sin(3 t + 8/5) + 81/7 sin(4 t + 33/7) + 130/7 sin(6 t + 33/7) + 7 sin(7 t + 8/5) + 98/11 sin(8 t + 8/5) + 11/10 sin(11 t + 8/5) + 11/4 sin(13 t + 8/5) + 43/21 sin(14 t + 8/5) + 1/3 sin(18 t + 8/5) + 235/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-10/9 sin(11/7 - 11 t) - 154/5 sin(11/7 - 3 t) - 861/2 sin(8/5 - t) + 301/3 sin(2 t + 8/5) + 230/7 sin(4 t + 8/5) + 20/7 sin(5 t + 14/9) + 125/7 sin(6 t + 8/5) + 5/6 sin(7 t + 14/3) + 77/6 sin(8 t + 8/5) + 5/2 sin(9 t + 11/7) + 46/9 sin(10 t + 11/7) + 31/6 sin(12 t + 8/5) - 4603/5) θ(127 π - t) θ(t - 123 π) + (-17/4 sin(14/9 - 12 t) - 115/19 sin(3/2 - 11 t) - 16/5 sin(3/2 - 10 t) - 155/11 sin(11/7 - 7 t) - 23/2 sin(14/9 - 6 t) + 169/10 sin(t + 33/7) + 1119/8 sin(2 t + 8/5) + 17 sin(3 t + 33/7) + 304/5 sin(4 t + 8/5) + 172/7 sin(5 t + 8/5) + 10/3 sin(8 t + 8/5) + 56/5 sin(9 t + 8/5) - 17071/15) θ(123 π - t) θ(t - 119 π) + (-67/6 sin(13/9 - 29 t) - 50/11 sin(7/5 - 28 t) - 111/7 sin(3/2 - 24 t) - 37/7 sin(13/9 - 18 t) - 62/3 sin(3/2 - 16 t) - 7/2 sin(7/5 - 15 t) - 34/7 sin(3/2 - 8 t) - 31/4 sin(3/2 - 7 t) - 43/3 sin(3/2 - 5 t) - 92/7 sin(14/9 - 4 t) - 149/8 sin(11/7 - 3 t) - 73/8 sin(3/2 - 2 t) - 231/10 sin(11/7 - t) + 5/2 sin(6 t + 14/3) + 81/7 sin(9 t + 5/3) + 90/7 sin(10 t + 8/5) + 7/8 sin(11 t + 12/7) + 32/9 sin(12 t + 8/5) + 5/4 sin(13 t + 7/5) + 47/8 sin(14 t + 12/7) + 2/5 sin(17 t + 5/4) + 5/4 sin(19 t + 7/5) + 9/7 sin(20 t + 11/5) + 17/5 sin(21 t + 3/2) + 25/7 sin(22 t + 32/7) + 59/3 sin(23 t + 5/3) + 68/5 sin(25 t + 5/3) + 73/5 sin(26 t + 7/4) + 2 sin(27 t + 12/7) + 17/8 sin(30 t + 5/3) + 48/7 sin(31 t + 9/5) + 10 sin(32 t + 7/4) + 15/4 sin(33 t + 5/3) - 1754/15) θ(119 π - t) θ(t - 115 π) + (-10/3 sin(14/9 - 26 t) - 59/5 sin(11/7 - 22 t) - 37/4 sin(11/7 - 17 t) - 10/3 sin(3/2 - 16 t) - 55/7 sin(11/7 - 10 t) - 15/2 sin(11/7 - 9 t) - 59/9 sin(11/7 - 8 t) - 56/3 sin(11/7 - 7 t) - 47/5 sin(11/7 - 6 t) - 116/7 sin(11/7 - 5 t) - 31/4 sin(8/5 - 4 t) - 375/22 sin(11/7 - 3 t) - 15/2 sin(8/5 - 2 t) + 23/3 sin(t + 33/7) + 11/12 sin(11 t + 14/3) + 179/10 sin(12 t + 8/5) + 163/5 sin(13 t + 8/5) + 13/9 sin(14 t + 7/4) + 10/11 sin(15 t + 3/2) + 26/3 sin(18 t + 33/7) + 46/3 sin(19 t + 8/5) + 81/7 sin(20 t + 8/5) + 34/7 sin(21 t + 14/3) + 94/5 sin(23 t + 8/5) + 43/4 sin(24 t + 33/7) + 28/5 sin(25 t + 8/5) - 111/11) θ(115 π - t) θ(t - 111 π) + (-1/9 sin(3/2 - 12 t) - 2/3 sin(11/7 - 11 t) - 6/7 sin(11/7 - 9 t) - 7/4 sin(11/7 - 4 t) - 67/4 sin(8/5 - 3 t) - 35/12 sin(8/5 - 2 t) - 241/5 sin(8/5 - t) + 1/2 sin(5 t + 14/3) + 1/2 sin(6 t + 8/5) + 21/10 sin(7 t + 33/7) + 7/8 sin(8 t + 33/7) + 1/4 sin(10 t + 8/5) + 37/6) θ(111 π - t) θ(t - 107 π) + (-17/5 sin(8/5 - 3 t) + 169/28 sin(t + 33/7) + 18/5 sin(2 t + 33/7) + 43/7 sin(4 t + 8/5) + 41/14 sin(5 t + 8/5) + 5/7 sin(6 t + 33/7) + 10/11 sin(7 t + 8/5) + 1/6 sin(8 t + 11/7) + 2/3 sin(9 t + 8/5) + 1/4 sin(10 t + 14/3) + 2/5 sin(11 t + 8/5) + 1/4 sin(12 t + 33/7) - 891/5) θ(107 π - t) θ(t - 103 π) + (-6/7 sin(11/7 - 12 t) - 13/7 sin(11/7 - 10 t) - 7/4 sin(11/7 - 8 t) - 2/3 sin(11/7 - 7 t) - 5 sin(8/5 - 6 t) - 39/5 sin(11/7 - 4 t) - 344/7 sin(8/5 - 2 t) + 52/17 sin(t + 33/7) + 3/5 sin(3 t + 11/7) + 3/4 sin(5 t + 11/7) + 2/3 sin(9 t + 11/7) - 3535/16) θ(103 π - t) θ(t - 99 π) + (-1/5 sin(11/7 - 12 t) - 3 sin(11/7 - 9 t) - 128/7 sin(11/7 - 5 t) + 203/6 sin(t + 8/5) + 119/5 sin(2 t + 8/5) + 55/6 sin(3 t + 11/7) + 869/15 sin(4 t + 8/5) + 17 sin(6 t + 8/5) + 34/5 sin(7 t + 8/5) + 26/9 sin(8 t + 8/5) + 46/5 sin(10 t + 8/5) + 4/9 sin(11 t + 3/2) - 382) θ(99 π - t) θ(t - 95 π) + (-24/5 sin(11/7 - 4 t) + 46/5 sin(t + 33/7) + 311/4 sin(2 t + 8/5) + 43/5 sin(3 t + 8/5) + 1/2 sin(5 t + 8/5) + 61/8 sin(6 t + 8/5) + 13/4 sin(7 t + 8/5) + 3/7 sin(8 t + 11/7) + 21/10 sin(9 t + 33/7) + 11/4 sin(10 t + 8/5) + 4/3 sin(11 t + 8/5) + 2/7 sin(12 t + 5/3) - 2913/5) θ(95 π - t) θ(t - 91 π) + (-11/4 sin(14/9 - 22 t) - 2/5 sin(5/4 - 21 t) - 9/5 sin(14/9 - 20 t) - 22/7 sin(14/9 - 18 t) - 92/13 sin(14/9 - 17 t) - 7/5 sin(3/2 - 15 t) - 21/4 sin(11/7 - 12 t) - 151/8 sin(11/7 - 11 t) - 287/16 sin(11/7 - 10 t) - 115/4 sin(11/7 - 6 t) - 10 sin(3/2 - 5 t) - 553/5 sin(11/7 - 4 t) - 925/4 sin(11/7 - 2 t) + 83/3 sin(t + 11/7) + sin(3 t + 7/8) + 9 sin(7 t + 11/7) + 27/4 sin(8 t + 8/5) + 33/5 sin(9 t + 14/9) + 71/4 sin(13 t + 8/5) + 15/2 sin(14 t + 33/7) + 2/3 sin(16 t + 7/5) + 31/5 sin(19 t + 8/5) + 2/7 sin(23 t + 6/5) + 4/5 sin(24 t + 14/3) - 1930/3) θ(91 π - t) θ(t - 87 π) + (-1/4 sin(2/5 - 17 t) - 11/3 sin(3/2 - 16 t) - 59/12 sin(3/2 - 14 t) - 36/7 sin(3/2 - 13 t) - 5/3 sin(10/7 - 12 t) - 199/8 sin(11/7 - 8 t) - 35/2 sin(11/7 - 4 t) - 85/9 sin(11/7 - 3 t) - 9/2 sin(11/7 - t) + 27/7 sin(2 t + 8/5) + 18/5 sin(5 t + 3/2) + 277/7 sin(6 t + 8/5) + 131/2 sin(7 t + 8/5) + 138/7 sin(9 t + 8/5) + 31/5 sin(10 t + 8/5) + 4/3 sin(11 t + 7/5) + 19/4 sin(15 t + 8/5) + 13/9 sin(19 t + 8/5) + 10/9 sin(20 t + 5/3) + 302/3) θ(87 π - t) θ(t - 83 π) + (-56/3 sin(3/2 - 12 t) - 49/5 sin(3/2 - 11 t) - 5/2 sin(11/7 - 5 t) - 3/5 sin(11/7 - 3 t) + 3/7 sin(t + 13/8) + 7/3 sin(2 t + 33/7) + 3/2 sin(4 t + 11/7) + 1/10 sin(6 t + 23/5) + 13/7 sin(7 t + 5/3) + 14/3 sin(8 t + 8/5) + 11/2 sin(9 t + 14/3) + 57/5 sin(10 t + 8/5) - 73/7) θ(83 π - t) θ(t - 79 π) + (-1/4 sin(2/7 - 36 t) - 1/5 sin(1/6 - 33 t) - 5/3 sin(13/9 - 32 t) - 23/4 sin(3/2 - 31 t) - 31/6 sin(3/2 - 30 t) - 11/2 sin(14/9 - 28 t) - 1/5 sin(1/3 - 25 t) - 1/9 sin(1/10 - 24 t) - 121/4 sin(11/7 - 16 t) - 34/3 sin(11/7 - 14 t) - 189/10 sin(11/7 - 12 t) - 454/5 sin(11/7 - 4 t) - 206/5 sin(8/5 - 3 t) - 695/3 sin(11/7 - t) + 1962/13 sin(2 t + 8/5) + 537/5 sin(5 t + 8/5) + 698/5 sin(6 t + 8/5) + 29 sin(7 t + 8/5) + 151/10 sin(8 t + 8/5) + 175/2 sin(9 t + 8/5) + 127/2 sin(10 t + 8/5) + 32/9 sin(11 t + 3/2) + 56/5 sin(13 t + 8/5) + 23/8 sin(15 t + 3/2) + 44/7 sin(17 t + 8/5) + 5 sin(18 t + 8/5) + 14 sin(19 t + 8/5) + 66/7 sin(20 t + 8/5) + 105/8 sin(21 t + 8/5) + 6 sin(22 t + 8/5) + 1/3 sin(23 t + 23/5) + 25/3 sin(26 t + 8/5) + 11/5 sin(27 t + 11/7) + 46/7 sin(29 t + 8/5) + 1/4 sin(34 t + 12/13) + 5/4 sin(35 t + 10/7) + 15/2 sin(37 t + 8/5) + 3/2 sin(38 t + 11/7) + 5/3 sin(39 t + 3/2) + 14/5 sin(40 t + 8/5) + 3 sin(41 t + 14/9) + 607/5) θ(79 π - t) θ(t - 75 π) + (-16/3 sin(14/9 - 22 t) - 39/5 sin(14/9 - 19 t) - 35/4 sin(3/2 - 18 t) - 41/2 sin(11/7 - 12 t) - 32 sin(11/7 - 10 t) - 259/20 sin(11/7 - 3 t) - 47/4 sin(8/5 - t) + 115/7 sin(2 t + 8/5) + 13 sin(4 t + 8/5) + 111/10 sin(5 t + 33/7) + 145/8 sin(6 t + 8/5) + 89/9 sin(7 t + 33/7) + 19/3 sin(8 t + 8/5) + 11/3 sin(9 t + 14/9) + 11 sin(11 t + 11/7) + 12/13 sin(13 t + 3/2) + 59/12 sin(14 t + 8/5) + 4 sin(15 t + 8/5) + 11/7 sin(16 t + 12/7) + 44/5 sin(17 t + 8/5) + 32/5 sin(20 t + 8/5) + 62/9 sin(21 t + 8/5) + 33/8 sin(23 t + 8/5) + 73/7 sin(24 t + 5/3) + 7181/10) θ(75 π - t) θ(t - 71 π) + (-1/6 sin(3/2 - 12 t) - 2/5 sin(11/7 - 11 t) - 1/2 sin(11/7 - 10 t) - 20/19 sin(11/7 - 9 t) - 5/4 sin(11/7 - 8 t) - 6/5 sin(11/7 - 7 t) - 7/4 sin(11/7 - 6 t) - 18/5 sin(11/7 - 5 t) - 21/5 sin(11/7 - 4 t) - 25/3 sin(11/7 - 3 t) - 86/5 sin(11/7 - 2 t) - 349/10 sin(11/7 - t) + 5185/7) θ(71 π - t) θ(t - 67 π) + (-53/9 sin(11/7 - 33 t) - 55/14 sin(8/5 - 24 t) - 21/2 sin(11/7 - 12 t) - 36 sin(11/7 - 10 t) - 59/10 sin(11/7 - 8 t) + 2320/7 sin(t + 33/7) + 1121/4 sin(2 t + 33/7) + 383/3 sin(3 t + 8/5) + 1049/9 sin(4 t + 11/7) + 607/4 sin(5 t + 8/5) + 52/7 sin(6 t + 11/7) + 19/4 sin(7 t + 5/3) + 7/4 sin(9 t + 8/5) + 38/5 sin(11 t + 8/5) + 105/4 sin(13 t + 8/5) + 28/5 sin(14 t + 33/7) + 23/4 sin(15 t + 8/5) + 87/4 sin(16 t + 11/7) + 71/4 sin(17 t + 8/5) + 18/5 sin(18 t + 11/7) + 6/5 sin(19 t + 23/5) + 2 sin(20 t + 7/5) + 23/4 sin(21 t + 14/9) + 7/8 sin(22 t + 14/3) + 15 sin(23 t + 33/7) + 107/12 sin(25 t + 11/7) + 29/15 sin(26 t + 14/3) + 23/5 sin(27 t + 33/7) + 32/5 sin(28 t + 8/5) + 23/6 sin(29 t + 8/5) + 13/3 sin(30 t + 33/7) + 13/4 sin(31 t + 11/7) + 34/5 sin(32 t + 8/5) + 500) θ(67 π - t) θ(t - 63 π) + (-21/11 sin(11/7 - 15 t) - sin(11/7 - 14 t) - 33/5 sin(11/7 - 11 t) - 19/2 sin(11/7 - 10 t) - 61/11 sin(11/7 - 7 t) - 17/2 sin(8/5 - t) + 226/5 sin(2 t + 8/5) + 35/4 sin(3 t + 8/5) + 33/8 sin(4 t + 8/5) + 15/7 sin(5 t + 8/5) + 18 sin(6 t + 11/7) + 241/8 sin(8 t + 8/5) + 95/16 sin(9 t + 8/5) + 10/3 sin(12 t + 33/7) + 11/5 sin(13 t + 8/5) + 25/8 sin(16 t + 8/5) + 8/5 sin(17 t + 8/5) + 1/29 sin(18 t + 3/4) + 1/5 sin(19 t + 3/2) - 3992/3) θ(63 π - t) θ(t - 59 π) + (-62/3 sin(11/7 - 10 t) - 5/4 sin(11/7 - 8 t) - 37/5 sin(11/7 - 7 t) - 262/7 sin(11/7 - 5 t) + 599/12 sin(t + 8/5) + 313/5 sin(2 t + 8/5) + 39/5 sin(3 t + 11/7) + 39/8 sin(4 t + 8/5) + 32/7 sin(6 t + 33/7) + 13/5 sin(9 t + 33/7) + 23/5 sin(11 t + 8/5) + 4/3 sin(12 t + 8/5) - 6881/5) θ(59 π - t) θ(t - 55 π) + (-11/3 sin(11/7 - 18 t) - 13/5 sin(11/7 - 14 t) - 69/7 sin(11/7 - 13 t) - 92/5 sin(11/7 - 12 t) - 324/17 sin(11/7 - 7 t) - 56/3 sin(11/7 - 6 t) - 291/7 sin(11/7 - 4 t) - 659/10 sin(11/7 - 2 t) - 1585/6 sin(8/5 - t) + 1294/7 sin(3 t + 8/5) + 130/7 sin(5 t + 8/5) + 40/7 sin(8 t + 14/3) + 3/7 sin(9 t + 7/4) + 246/13 sin(10 t + 33/7) + 11/2 sin(11 t + 14/3) + 55/9 sin(15 t + 8/5) + 58/19 sin(16 t + 8/5) + 7/2 sin(17 t + 8/5) + 13/3 sin(19 t + 33/7) + 79/13 sin(20 t + 33/7) + 3/4 sin(21 t + 8/5) + 5/3 sin(22 t + 8/5) + 18/5 sin(23 t + 8/5) + 9/4 sin(24 t + 8/5) + 3/4 sin(25 t + 11/7) - 2888/3) θ(55 π - t) θ(t - 51 π) + (-67/2 sin(11/7 - 7 t) - 47 sin(11/7 - 4 t) - 145/4 sin(11/7 - t) + 33/7 sin(2 t + 8/5) + 58/3 sin(3 t + 33/7) + 122/5 sin(5 t + 8/5) + 54/11 sin(6 t + 33/7) + 56/5 sin(8 t + 33/7) + 21 sin(9 t + 8/5) + 34/5 sin(10 t + 11/7) + 13/4 sin(11 t + 11/7) + sin(12 t + 14/3) - 4455/4) θ(51 π - t) θ(t - 47 π) + (-20/7 sin(11/7 - 8 t) - 63/8 sin(11/7 - 6 t) - 127/4 sin(11/7 - 5 t) - 283/7 sin(11/7 - 3 t) + 170/7 sin(t + 8/5) + 984/7 sin(2 t + 8/5) + 131/4 sin(4 t + 8/5) + 27/5 sin(7 t + 8/5) + 11 sin(9 t + 8/5) + 33/4 sin(10 t + 8/5) + 24/5 sin(11 t + 8/5) + 36/5 sin(12 t + 8/5) - 2993/3) θ(47 π - t) θ(t - 43 π) + (-3/7 sin(3/2 - 25 t) - 2/7 sin(3/2 - 20 t) - 1/4 sin(3/2 - 19 t) - 6/7 sin(11/7 - 17 t) - 8/3 sin(11/7 - 11 t) - 8/5 sin(11/7 - 9 t) - 209/5 sin(11/7 - 3 t) + 461/20 sin(t + 8/5) + 16/7 sin(2 t + 11/7) + 207/5 sin(4 t + 8/5) + 83/7 sin(5 t + 8/5) + 34/3 sin(6 t + 8/5) + 25/4 sin(7 t + 11/7) + 1/8 sin(8 t + 3/4) + 17/4 sin(10 t + 8/5) + 21/11 sin(12 t + 8/5) + 7/5 sin(13 t + 8/5) + 1/4 sin(14 t + 7/5) + 1/4 sin(15 t + 3/2) + 4/5 sin(16 t + 11/7) + 7/4 sin(18 t + 8/5) + 1/5 sin(21 t + 10/7) + 2/3 sin(22 t + 11/7) + 5/6 sin(23 t + 11/7) + 5/4 sin(24 t + 8/5) + 1/5 sin(26 t + 3/2) - 1635/2) θ(43 π - t) θ(t - 39 π) + (-8/7 sin(11/7 - 22 t) - 93/23 sin(11/7 - 18 t) - 28/5 sin(11/7 - 17 t) - 45/4 sin(8/5 - 16 t) - 4/3 sin(11/7 - 15 t) - 4/5 sin(8/5 - 9 t) - 15/4 sin(11/7 - 8 t) - 19/3 sin(11/7 - 5 t) - 51/5 sin(8/5 - 2 t) + 283/3 sin(t + 33/7) + 13/2 sin(3 t + 11/7) + 146/5 sin(4 t + 33/7) + 68/5 sin(6 t + 11/7) + 68/3 sin(7 t + 33/7) + 17/9 sin(10 t + 33/7) + 9/2 sin(11 t + 11/7) + 49/5 sin(12 t + 33/7) + 37/5 sin(13 t + 11/7) + 14/15 sin(14 t + 3/2) + 12/5 sin(19 t + 8/5) + 2/3 sin(20 t + 3/2) + 2/3 sin(21 t + 8/5) + 3/5 sin(23 t + 8/5) + 9/7 sin(24 t + 8/5) + 7/8 sin(25 t + 11/7) - 6177/7) θ(39 π - t) θ(t - 35 π) + (-4/5 sin(11/7 - 25 t) - 7/6 sin(11/7 - 21 t) - 12/5 sin(11/7 - 15 t) - 7/2 sin(11/7 - 14 t) - 22/7 sin(11/7 - 13 t) - 9/4 sin(11/7 - 12 t) - 30/7 sin(11/7 - 11 t) - 34/5 sin(11/7 - 10 t) - 5 sin(11/7 - 9 t) - 19/4 sin(11/7 - 6 t) - 214/5 sin(11/7 - 4 t) - 102/5 sin(11/7 - 3 t) - 16 sin(8/5 - 2 t) + 408/7 sin(t + 8/5) + 138/5 sin(5 t + 8/5) + 1/2 sin(7 t + 11/7) + 71/12 sin(8 t + 8/5) + 7/3 sin(16 t + 8/5) + 11/6 sin(17 t + 8/5) + 4/5 sin(18 t + 8/5) + 1/2 sin(19 t + 14/3) + 5/7 sin(20 t + 8/5) + 31/15 sin(22 t + 8/5) + 3/5 sin(23 t + 5/3) + 1/4 sin(24 t + 8/5) + 1/6 sin(26 t + 33/7) - 4055/7) θ(35 π - t) θ(t - 31 π) + (-1/6 sin(2/3 - 27 t) - 1/6 sin(1 - 19 t) - 1/11 sin(3/4 - 15 t) - 9/8 sin(3/2 - 11 t) - 111/16 sin(3/2 - 7 t) - 405/7 sin(11/7 - t) + 2635/7 sin(2 t + 8/5) + 277/12 sin(3 t + 11/7) + 119/6 sin(4 t + 11/7) + 337/14 sin(5 t + 11/7) + 244/7 sin(6 t + 11/7) + 25/6 sin(8 t + 3/2) + 35/4 sin(9 t + 8/5) + 9 sin(10 t + 8/5) + 9/2 sin(12 t + 8/5) + 11/3 sin(13 t + 8/5) + 19/5 sin(14 t + 14/9) + 26/7 sin(16 t + 3/2) + 3/4 sin(17 t + 7/5) + 8/5 sin(18 t + 3/2) + 20/7 sin(20 t + 8/5) + 2/3 sin(21 t + 5/3) + sin(22 t + 3/2) + 1/21 sin(23 t + 15/4) + 17/8 sin(24 t + 8/5) + 1/4 sin(25 t + 7/5) + 2/3 sin(26 t + 3/2) - 2471/3) θ(31 π - t) θ(t - 27 π) + (222/5 sin(t + 33/7) + 5235/11 sin(2 t + 8/5) + 160/7 sin(3 t + 8/5) + 165/7 sin(4 t + 8/5) + 137/5 sin(5 t + 8/5) + 113/3 sin(6 t + 8/5) + 22/3 sin(7 t + 14/3) + 53/6 sin(8 t + 8/5) + 52/7 sin(9 t + 11/7) + 45/7 sin(10 t + 8/5) + 7/5 sin(11 t + 7/4) + 36/5 sin(12 t + 8/5) - 3241/4) θ(27 π - t) θ(t - 23 π) + (-9/4 sin(10/7 - 9 t) - 71/5 sin(11/7 - 8 t) - 1/5 sin(3/7 - 7 t) - 552/19 sin(11/7 - 3 t) - 587/4 sin(11/7 - 2 t) + 2894/15 sin(t + 8/5) + 27/4 sin(4 t + 33/7) + 227/6 sin(5 t + 8/5) + 98/9 sin(6 t + 8/5) + 17/8 sin(10 t + 14/3) + 20/7 sin(11 t + 8/5) + 12/7 sin(12 t + 14/3) - 5401/8) θ(23 π - t) θ(t - 19 π) + (-46/5 sin(11/7 - 6 t) + 128 sin(t + 33/7) + 1778/5 sin(2 t + 33/7) + 576/5 sin(3 t + 8/5) + 185/6 sin(4 t + 11/7) + 19/3 sin(5 t + 14/3) + 107/5 sin(7 t + 8/5) + 121/6 sin(8 t + 33/7) + 7/4 sin(9 t + 8/5) + 8/5 sin(10 t + 11/7) + 17/5 sin(11 t + 8/5) + 29/5 sin(12 t + 11/7) + 127/6 sin(13 t + 11/7) + 81/8 sin(14 t + 11/7) + 61/5 sin(15 t + 8/5) + 49/5 sin(16 t + 11/7) + 97/14 sin(17 t + 8/5) + 9/4 sin(18 t + 33/7) + 1/9 sin(19 t + 35/8) - 15339/20) θ(19 π - t) θ(t - 15 π) + (-39/10 sin(11/7 - 10 t) - 43/6 sin(11/7 - 8 t) - 43/2 sin(11/7 - 4 t) - 219/10 sin(11/7 - 3 t) - 155/2 sin(11/7 - 2 t) - 681/10 sin(8/5 - t) + 26/3 sin(5 t + 8/5) + 1/4 sin(6 t + 9/2) + 7/2 sin(7 t + 8/5) + 16/3 sin(9 t + 8/5) + 7/4 sin(11 t + 11/7) + 9/8 sin(12 t + 14/3) - 3730/3) θ(15 π - t) θ(t - 11 π) + (-94/5 sin(11/7 - 9 t) - 117 sin(11/7 - 5 t) - 18/5 sin(9/8 - 4 t) + 609/5 sin(t + 8/5) + 153/7 sin(2 t + 8/5) + 53/9 sin(3 t + 11/7) + 339/7 sin(6 t + 8/5) + 16 sin(7 t + 5/3) + 361/12 sin(8 t + 8/5) + 14/5 sin(10 t + 3/2) + 96/19 sin(11 t + 8/5) + 19/3 sin(12 t + 5/3) + 4/3 sin(13 t + 29/14) + 33/5 sin(14 t + 5/3) + 19/4 sin(15 t + 5/3) + 29/5 sin(16 t + 5/3) + 8/5 sin(17 t + 23/11) + 6 sin(18 t + 5/3) + 7/5 sin(19 t + 5/3) - 7623/5) θ(11 π - t) θ(t - 7 π) + (-8/5 sin(14/9 - 16 t) - 17/6 sin(11/7 - 15 t) - 17/16 sin(3/2 - 12 t) - 32/7 sin(11/7 - 6 t) - 267/7 sin(11/7 - 5 t) + 44 sin(t + 8/5) + 155/2 sin(2 t + 8/5) + 6/7 sin(3 t + 8/5) + 178/7 sin(4 t + 8/5) + 53/9 sin(7 t + 8/5) + 16/5 sin(8 t + 11/7) + 2 sin(9 t + 33/7) + 23/8 sin(10 t + 8/5) + 22/5 sin(11 t + 8/5) + 9/8 sin(13 t + 33/7) + 6 sin(14 t + 8/5) + 6/5 sin(17 t + 33/7) - 13065/7) θ(7 π - t) θ(t - 3 π) + (-31/8 sin(11/7 - 15 t) - 6/7 sin(14/9 - 14 t) - 35/4 sin(11/7 - 8 t) - 88/7 sin(11/7 - 7 t) - 383/8 sin(11/7 - 5 t) + 354/5 sin(t + 8/5) + 587/5 sin(2 t + 8/5) + 19/6 sin(3 t + 11/7) + 67/3 sin(4 t + 8/5) + 91/5 sin(6 t + 8/5) + 8/3 sin(9 t + 8/5) + 31/7 sin(10 t + 11/7) + 7/4 sin(11 t + 14/3) + 13/2 sin(12 t + 8/5) + 8/7 sin(13 t + 8/5) + 12/5 sin(16 t + 8/5) + 1/4 sin(17 t + 11/7) + 3/4 sin(18 t + 8/5) - 11041/6) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
数式化出来ずに終了
x(t) = ((-16/5 sin(11/7 - 4 t) - 76/25 sin(11/7 - 2 t) + 295/4 sin(t + 11/7) + 63/8 sin(3 t + 11/7) + 13/5 sin(5 t + 11/7) + 13/9 sin(6 t + 33/7) + 1/4 sin(7 t + 14/9) + 22/23 sin(8 t + 33/7) + 7/9 sin(9 t + 11/7) + 1/9 sin(10 t + 5/3) + 1093/9) θ(103 π - t) θ(t - 99 π) + (517/9 sin(t + 11/7) + 865/18 sin(2 t + 11/7) + 20/3 sin(3 t + 11/7) + 11/9 sin(4 t + 8/5) + 23/8 sin(5 t + 8/5) + 32/5 sin(6 t + 8/5) + 2/3 sin(7 t + 8/5) + 1/21 sin(8 t + 9/2) - 1952/9) θ(99 π - t) θ(t - 95 π) + (-139/8 sin(11/7 - 6 t) - 367/6 sin(11/7 - t) + 76/9 sin(2 t + 33/7) + 427/10 sin(3 t + 11/7) + 83/8 sin(4 t + 8/5) + 65/11 sin(5 t + 8/5) + 139/9 sin(7 t + 11/7) + 14/5 sin(8 t + 33/7) + 24/7 sin(9 t + 8/5) + 1/6 sin(10 t + 4) + 1914/7) θ(95 π - t) θ(t - 91 π) + (-37/4 sin(11/7 - 4 t) - 11/4 sin(16/11 - 3 t) - 182/3 sin(11/7 - 2 t) - 466/3 sin(11/7 - t) + 7/5 sin(5 t + 14/3) + 26/7 sin(6 t + 33/7) + 684/5) θ(91 π - t) θ(t - 87 π) + (-67/9 sin(14/9 - 11 t) - 8/7 sin(14/9 - 10 t) - 31/4 sin(11/7 - 9 t) - 32/7 sin(11/7 - 3 t) - 72/7 sin(11/7 - 2 t) + 462/5 sin(t + 11/7) + 131/12 sin(4 t + 11/7) + 109/7 sin(5 t + 8/5) + 16/3 sin(6 t + 8/5) + 6/7 sin(7 t + 8/5) + 22/3 sin(8 t + 8/5) + 7/4 sin(12 t + 11/7) + 5/6 sin(13 t + 12/7) + 21/8 sin(14 t + 8/5) - 326/7) θ(87 π - t) θ(t - 83 π) + (501/8 sin(t + 33/7) + 122/3 sin(2 t + 33/7) + 155/6 sin(3 t + 11/7) + 49/4 sin(4 t + 11/7) + 31/4 sin(5 t + 11/7) + 17/5 sin(6 t + 11/7) + 14/5) θ(83 π - t) θ(t - 79 π) + (-100/11 sin(11/7 - 3 t) - 3/7 sin(3/2 - 2 t) - 104/5 sin(11/7 - t) + 3/5 sin(4 t + 14/9) + 367/2) θ(79 π - t) θ(t - 75 π) + (-52/5 sin(11/7 - 4 t) - 652/21 sin(11/7 - 2 t) - 1/6 sin(3/5 - t) + 13 sin(3 t + 11/7) + 29/4 sin(5 t + 8/5) + 37/4 sin(6 t + 8/5) + 87/10 sin(7 t + 8/5) + 4/9 sin(8 t + 5/3) + 9/7 sin(9 t + 8/5) + 1/12 sin(10 t + 8/3) + 3103/11) θ(75 π - t) θ(t - 71 π) + (-13/5 sin(14/9 - 6 t) - 251/7 sin(11/7 - 2 t) + 373/7 sin(t + 11/7) + 224/15 sin(3 t + 11/7) + 35/6 sin(4 t + 8/5) + 27/4 sin(5 t + 11/7) + 32/7 sin(7 t + 11/7) + 60/11 sin(8 t + 8/5) + 7/2 sin(9 t + 11/7) + 17/7 sin(10 t + 11/7) + 398/5) θ(71 π - t) θ(t - 67 π) + (-13/6 sin(11/7 - 8 t) - 4/3 sin(11/7 - 6 t) - 452/9 sin(11/7 - t) + 37/5 sin(2 t + 11/7) + 193/7 sin(3 t + 11/7) + 44/5 sin(4 t + 11/7) + 53/6 sin(5 t + 11/7) + 2/5 sin(7 t + 11/7) + 11/8 sin(9 t + 11/7) + 2/5 sin(10 t + 14/9) - 164/3) θ(67 π - t) θ(t - 63 π) + (-13/10 sin(7/5 - 2 t) + 572/5 sin(t + 11/7) + 67/5 sin(3 t + 11/7) + 10/9 sin(4 t + 3/2) + 14/3 sin(5 t + 11/7) + 661/8) θ(63 π - t) θ(t - 59 π) + (-3/7 sin(1/13 - 8 t) - 3/7 sin(1/7 - 6 t) - 17/7 sin(1/9 - 2 t) + 45/11 sin(t + 12/5) + 13/10 sin(3 t + 13/4) + 13/14 sin(4 t + 1/5) + 4/7 sin(5 t + 17/5) + 5/11 sin(7 t + 3) + 2/5 sin(9 t + 19/6) + 1/3 sin(10 t + 1/10) + 1743/8) θ(59 π - t) θ(t - 55 π) + (-1/3 sin(5/6 - 10 t) + 32/7 sin(t + 7/6) + 20/9 sin(2 t + 19/6) + 8/3 sin(3 t + 12/7) + 17/6 sin(4 t + 6/5) + 7/5 sin(5 t + 16/11) + 1/14 sin(6 t + 33/16) + 1/11 sin(7 t + 33/7) + 1/7 sin(8 t + 17/7) + 1/8 sin(9 t + 6/7) + 1/6) θ(55 π - t) θ(t - 51 π) + (222/5 sin(t + 22/5) + 170/13 sin(2 t + 12/7) + 11/6 sin(3 t + 25/6) + 8/3 sin(4 t + 7/6) + 16/7 sin(5 t + 30/7) + sin(6 t + 5/3) - 2573/13) θ(51 π - t) θ(t - 47 π) + (-17/18 sin(1/10 - 4 t) + 101/5 sin(t + 2/5) + 27/11 sin(2 t + 12/11) + 23/11 sin(3 t + 4/3) + 4/5 sin(5 t + 16/7) + 2/3 sin(6 t + 1/5) + 3/8 sin(7 t + 5/2) - 1) θ(47 π - t) θ(t - 43 π) + (-39/5 sin(3/2 - 5 t) - 69/10 sin(4/5 - t) + 43/8 sin(2 t + 21/22) + 253/18 sin(3 t + 9/2) + 25 sin(4 t + 19/6) + 7/3 sin(6 t + 2/7) + 3/2 sin(7 t + 32/9) + 2/3 sin(8 t + 22/5) + 5/11 sin(9 t + 30/7) + 5/3 sin(10 t + 5/2) + 12/7 sin(11 t + 7/9) + 9/10 sin(12 t + 12/11) + 1704/7) θ(43 π - t) θ(t - 39 π) + (83/2 sin(t + 14/3) + 163/27 sin(2 t + 9/7) + 17/4 sin(3 t + 33/7) + 11/8 sin(4 t + 21/11) + 18/19 sin(5 t + 24/7) + 13/6 sin(6 t + 11/10) - 83/8) θ(39 π - t) θ(t - 35 π) + (-1/3 sin(7/5 - 10 t) - 3/4 sin(11/7 - 9 t) - 16 sin(7/5 - 4 t) + 733/7 sin(t + 11/4) + 36 sin(2 t + 17/6) + 11/10 sin(3 t + 56/19) + 53/4 sin(5 t + 20/9) + 37/10 sin(6 t + 5/7) + 3/4 sin(7 t + 13/5) + 34/11 sin(8 t + 1/22) - 502/7) θ(35 π - t) θ(t - 31 π) + (-43/6 sin(4/3 - 2 t) + 335/4 sin(t + 11/12) + 69/10 sin(3 t + 13/6) + 7/5 sin(4 t + 31/9) + 3196/23) θ(31 π - t) θ(t - 27 π) + (-7/9 sin(1/11 - 9 t) - 8/5 sin(3/7 - 7 t) - 16/3 sin(10/7 - 5 t) + 459/7 sin(t + 13/3) + 207/4 sin(2 t + 15/7) + 209/13 sin(3 t + 23/6) + 235/39 sin(4 t + 25/8) + 9/5 sin(6 t + 15/14) + 17/6 sin(8 t + 8/5) + 3/4 sin(10 t + 2) - 901/7) θ(27 π - t) θ(t - 23 π) + (-12/13 sin(10/7 - 7 t) - 76/7 sin(4/3 - 2 t) + 447/7 sin(t + 11/5) + 28/5 sin(3 t + 27/7) + 24/7 sin(4 t + 5/2) + 14/13 sin(5 t + 10/3) + 19/6 sin(6 t + 26/9) + 33/17 sin(8 t + 17/6) + 8/7 sin(9 t + 1/41) + 10/7 sin(10 t + 3) + 1039/4) θ(23 π - t) θ(t - 19 π) + (-8/9 sin(6/5 - 17 t) - 3/5 sin(2/7 - 16 t) - 1/2 sin(3/4 - 11 t) - 81/7 sin(3/5 - 6 t) - 143/3 sin(2/5 - 3 t) + 1031/7 sin(t + 15/8) + 689/9 sin(2 t + 38/11) + 153/5 sin(4 t + 47/10) + 47/6 sin(5 t + 1/4) + 133/12 sin(7 t + 22/5) + 25/4 sin(8 t + 40/9) + 57/7 sin(9 t + 71/18) + 12/7 sin(10 t + 13/5) + 77/19 sin(12 t + 19/5) + 7/2 sin(13 t + 19/8) + 18/17 sin(14 t + 14/3) + 2/7 sin(15 t + 18/19) + sin(18 t + 18/7) + 1073/5) θ(19 π - t) θ(t - 15 π) + (-23/15 sin(6/5 - 16 t) - 9/7 sin(10/7 - 15 t) - 21/8 sin(6/5 - 12 t) - 8/3 sin(1/8 - 11 t) - 996/7 sin(1/5 - t) + 387/7 sin(2 t + 11/4) + 183/5 sin(3 t + 9/4) + 302/5 sin(4 t + 18/5) + 49/3 sin(5 t + 22/9) + 46/3 sin(6 t + 8/5) + 69/8 sin(7 t + 50/11) + 17/4 sin(8 t + 7/6) + 42/5 sin(9 t + 19/7) + 22/3 sin(10 t + 1/15) + 25/7 sin(13 t + 3/4) + 1/4 sin(14 t + 1/5) - 3235/14) θ(15 π - t) θ(t - 11 π) + (-8/5 sin(4/3 - 9 t) - 136/13 sin(11/8 - 5 t) + 741/8 sin(t + 15/16) + 62/3 sin(2 t + 13/7) + 51/4 sin(3 t + 18/5) + 7 sin(4 t + 2/3) + 25/3 sin(6 t + 13/4) + 53/10 sin(7 t + 13/3) + 23/7 sin(8 t + 20/9) + 16/7 sin(10 t + 33/8) + 937/7) θ(11 π - t) θ(t - 7 π) + (13/8 sin(9 t) + 859/10 sin(t + 1/2) + 271/6 sin(2 t + 4/5) + 175/9 sin(3 t + 41/10) + 661/44 sin(4 t + 27/14) + 209/26 sin(5 t + 41/9) + 47/9 sin(6 t + 11/7) + 20/7 sin(7 t + 3/2) + 16/7 sin(8 t + 15/7) + 47/24 sin(10 t + 4/5) - 1281/13) θ(7 π - t) θ(t - 3 π) + (-5/6 sin(1/10 - 22 t) - 12/5 sin(4/7 - 17 t) - 53/7 sin(3/4 - 14 t) - 295/9 sin(5/4 - 6 t) - 173/7 sin(1/3 - 5 t) - 5967/16 sin(13/12 - t) + 611/5 sin(2 t + 4/5) + 494/9 sin(3 t + 18/5) + 73/3 sin(4 t + 17/7) + 61/12 sin(7 t + 1/3) + 77/9 sin(8 t + 3/4) + 311/24 sin(9 t + 15/16) + 58/7 sin(10 t + 1/6) + 75/7 sin(11 t + 57/14) + 23/3 sin(12 t + 22/7) + 46/9 sin(13 t + 1/7) + 76/15 sin(15 t + 47/12) + 15/2 sin(16 t + 5/4) + 3/5 sin(18 t + 33/7) + 9/4 sin(19 t + 3) + 50/17 sin(20 t + 15/16) + 2/3 sin(21 t + 9/2) + 1/2 sin(23 t + 11/6) - 1643/8) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-1103/24 sin(11/7 - t) + 28/3 sin(2 t + 11/7) + 17/3 sin(3 t + 11/7) + 40/7 sin(4 t + 11/7) + 46/9 sin(5 t + 11/7) + 17/5 sin(6 t + 11/7) + 5/6 sin(7 t + 11/7) + 2/3 sin(8 t + 11/7) + 1/14 sin(9 t + 8/5) + 2/5 sin(10 t + 11/7) + 4012/7) θ(103 π - t) θ(t - 99 π) + (-173/29 sin(11/7 - 6 t) - 383/6 sin(11/7 - 2 t) + 965/21 sin(t + 11/7) + 114/23 sin(3 t + 11/7) + 2 sin(4 t + 11/7) + 121/30 sin(5 t + 11/7) + 1/2 sin(7 t + 14/9) + 1/6 sin(8 t + 14/3) + 5823/10) θ(99 π - t) θ(t - 95 π) + (-23/6 sin(11/7 - 10 t) - 8/9 sin(11/7 - 9 t) + 122/5 sin(t + 33/7) + 643/5 sin(2 t + 11/7) + 167/5 sin(3 t + 8/5) + 56/11 sin(4 t + 8/5) + 69/8 sin(5 t + 33/7) + 29/15 sin(6 t + 14/9) + 13/4 sin(7 t + 8/5) + 41/10 sin(8 t + 8/5) - 942/7) θ(95 π - t) θ(t - 91 π) + (1300/9 sin(t + 33/7) + 347/5 sin(2 t + 11/7) + 6/7 sin(3 t + 14/3) + 79/6 sin(4 t + 8/5) + 14/13 sin(5 t + 14/3) + 246/35 sin(6 t + 11/7) + 2463/11) θ(91 π - t) θ(t - 87 π) + (-2/3 sin(11/7 - 13 t) - 29/28 sin(3/2 - 12 t) - 131/5 sin(11/7 - 7 t) - 31/7 sin(14/9 - 4 t) - 61/4 sin(11/7 - 2 t) - 295/8 sin(11/7 - t) + 33/7 sin(3 t + 33/7) + 3/7 sin(5 t + 9/5) + 42/5 sin(6 t + 8/5) + 15/7 sin(8 t + 8/5) + 23/6 sin(9 t + 8/5) + 68/23 sin(10 t + 11/7) + 20/7 sin(11 t + 8/5) + 17/7 sin(14 t + 8/5) - 515/8) θ(87 π - t) θ(t - 83 π) + (-14/3 sin(11/7 - 5 t) - 236/9 sin(11/7 - 3 t) + 489/2 sin(t + 33/7) + 104/7 sin(2 t + 8/5) + 23/6 sin(4 t + 11/7) + 58/7 sin(6 t + 11/7) - 483/2) θ(83 π - t) θ(t - 79 π) + (-183/10 sin(11/7 - 3 t) - 1067/6 sin(11/7 - t) + 1/2 sin(2 t + 4/3) + 3/8 sin(4 t + 10/7) - 2710/9) θ(79 π - t) θ(t - 75 π) + (-9/17 sin(10/7 - 10 t) - 1299/13 sin(11/7 - t) + 16 sin(2 t + 11/7) + 73/8 sin(3 t + 8/5) + 31/6 sin(4 t + 11/7) + 15/4 sin(5 t + 8/5) + 9/5 sin(6 t + 13/8) + 12/11 sin(7 t + 8/5) + 15/8 sin(8 t + 8/5) + 4/9 sin(9 t + 8/5) - 535/3) θ(75 π - t) θ(t - 71 π) + (-8/3 sin(11/7 - 10 t) - 39/4 sin(11/7 - 6 t) - 3 sin(11/7 - 5 t) - 388/3 sin(11/7 - 2 t) - 274/7 sin(11/7 - t) + 97/10 sin(3 t + 11/7) + 130/43 sin(4 t + 13/8) + 37/6 sin(7 t + 8/5) + 22/23 sin(8 t + 13/8) + 1/4 sin(9 t + 5/4) - 4531/13) θ(71 π - t) θ(t - 67 π) + (-6/7 sin(11/7 - 10 t) - 4/7 sin(11/7 - 4 t) - 51/4 sin(11/7 - 3 t) - 541/6 sin(11/7 - t) + 39/2 sin(2 t + 11/7) + 34/11 sin(5 t + 33/7) + 10/7 sin(6 t + 11/7) + 1/6 sin(7 t + 12/7) + 1/4 sin(8 t + 11/7) + 9/7 sin(9 t + 33/7) - 461/2) θ(67 π - t) θ(t - 63 π) + (-5/7 sin(14/9 - 4 t) - 41/7 sin(11/7 - 3 t) + 77/4 sin(t + 11/7) + 209/13 sin(2 t + 11/7) + 5/8 sin(5 t + 14/3) + 923/4) θ(63 π - t) θ(t - 59 π) + (182/9 sin(t + 10/3) + 43/5 sin(2 t + 2/7) + 24/5 sin(3 t + 24/7) + 16/5 sin(4 t + 1/5) + 21/8 sin(5 t + 16/5) + 7/3 sin(6 t + 1/28) + 41/20 sin(7 t + 16/5) + 9/5 sin(8 t + 1/13) + 14/9 sin(9 t + 16/5) + 11/8 sin(10 t + 1/16) + 1201/4) θ(59 π - t) θ(t - 55 π) + (-29/5 sin(4/7 - 2 t) + 8/7 sin(t + 31/8) + 83/9 sin(3 t + 23/6) + 241/13 sin(4 t + 11/4) + 97/16 sin(5 t + 14/3) + sin(6 t + 10/7) + 15/16 sin(7 t + 23/5) + 1/5 sin(8 t + 1/4) + 5/7 sin(9 t + 29/10) + 4/3 sin(10 t + 13/9) + 2683/9) θ(55 π - t) θ(t - 51 π) + (-9/8 sin(7/6 - 6 t) - 53/4 sin(1/7 - 2 t) - 149/3 sin(1/3 - t) + 9/4 sin(3 t + 13/5) + 31/8 sin(4 t + 5/2) + 12/7 sin(5 t + 21/8) + 3239/6) θ(51 π - t) θ(t - 47 π) + (-sin(3/4 - 6 t) - 4/3 sin(4/3 - 4 t) - 21/8 sin(1 - 3 t) - 91/2 sin(4/3 - t) + 9/7 sin(2 t + 14/3) + 1/8 sin(5 t + 53/13) + 5/9 sin(7 t + 38/13) + 1483/5) θ(47 π - t) θ(t - 43 π) + (-7/6 sin(1/5 - 11 t) - 6/5 sin(1/4 - 8 t) - 43/7 sin(2/9 - 2 t) + 19/3 sin(t + 23/7) + 199/18 sin(3 t + 11/3) + 209/14 sin(4 t + 7/3) + 38/7 sin(5 t + 57/14) + 5/3 sin(6 t + 1/2) + 4/9 sin(7 t + 4) + 5/11 sin(9 t + 13/4) + 4/5 sin(10 t + 12/5) + 2/5 sin(12 t + 3/8) + 1843/7) θ(43 π - t) θ(t - 39 π) + (-5/11 sin(9/7 - 4 t) + 133/8 sin(t + 18/7) + 45/7 sin(2 t + 37/12) + 59/20 sin(3 t + 17/4) + 10/9 sin(5 t + 1/3) + 12/5 sin(6 t + 1/3) + 170) θ(39 π - t) θ(t - 35 π) + (-37/8 sin(3/8 - 8 t) - 40/13 sin(10/11 - 6 t) - 236/11 sin(14/9 - 3 t) + 1357/12 sin(t + 30/7) + 167/7 sin(2 t + 30/7) + 117/8 sin(4 t + 5/3) + 16/5 sin(5 t + 22/5) + 183/23 sin(7 t + 7/3) + 23/7 sin(9 t + 2/7) + 8/3 sin(10 t + 10/3) - 1519/8) θ(35 π - t) θ(t - 31 π) + (-116/23 sin(2/5 - 2 t) - 731/6 sin(7/8 - t) + 29/5 sin(3 t + 1/9) + 14/5 sin(4 t + 9/8) + 65/7) θ(31 π - t) θ(t - 27 π) + (-35/9 sin(3/5 - 5 t) - 20/7 sin(5/6 - 3 t) - 69/5 sin(11/8 - 2 t) - 382/3 sin(5/4 - t) + 8/7 sin(4 t + 11/3) + 6/5 sin(6 t + 1/3) + 26/7 sin(7 t + 5/8) + 6/5 sin(8 t + 9/7) + 9/5 sin(9 t + 3/2) + 4/5 sin(10 t + 19/7) - 94/3) θ(27 π - t) θ(t - 23 π) + (-8/5 sin(3/2 - 6 t) - 113/14 sin(4/3 - 3 t) - 188/15 sin(11/9 - 2 t) + 657/10 sin(t + 33/7) + 3/2 sin(4 t + 27/8) + 31/15 sin(5 t + 2/5) + 2/3 sin(7 t + 11/5) + 9/8 sin(8 t + 3/5) + 1/11 sin(9 t + 16/5) + 3/4 sin(10 t + 11/8) + 681/10) θ(23 π - t) θ(t - 19 π) + (-7/4 sin(5/6 - 13 t) - 12/7 sin(3/2 - 11 t) - 2 sin(1 - 9 t) - 37/5 sin(5/7 - 4 t) - 243/4 sin(1/4 - t) + 647/6 sin(2 t + 12/7) + 198/7 sin(3 t + 4/5) + 137/8 sin(5 t + 19/5) + 99/14 sin(6 t + 4/3) + 6/5 sin(7 t + 2/9) + 81/8 sin(8 t + 10/11) + 11/4 sin(10 t + 4/3) + 17/8 sin(12 t + 2/7) + 3/7 sin(14 t + 3/8) + 4/5 sin(15 t + 39/11) + 9/10 sin(16 t + 13/5) + 1/3 sin(17 t + 31/7) + 9/7 sin(18 t + 3/5) - 5164/7) θ(19 π - t) θ(t - 15 π) + (-sin(10/7 - 16 t) - 4/3 sin(6/7 - 12 t) - 4/5 sin(5/7 - 11 t) - 19/4 sin(3/4 - 7 t) - 439/6 sin(5/4 - t) + 623/6 sin(2 t + 2/3) + 249/5 sin(3 t + 2/7) + 203/8 sin(4 t + 31/8) + 17/6 sin(5 t + 14/3) + 45/7 sin(6 t + 8/5) + 43/4 sin(8 t + 3/2) + 113/14 sin(9 t + 25/7) + 38/7 sin(10 t + 13/9) + 13/9 sin(13 t + 1) + 9/8 sin(14 t + 17/4) + 3/7 sin(15 t + 13/3) - 3589/5) θ(15 π - t) θ(t - 11 π) + (-542/7 sin(5/8 - t) + 431/10 sin(2 t + 5/11) + 165/8 sin(3 t + 9/2) + 37/8 sin(4 t + 16/7) + 23/8 sin(5 t + 5/3) + 32/9 sin(6 t + 7/13) + 1/2 sin(7 t + 1/15) + 2/7 sin(8 t + 7/6) + 9/4 sin(9 t + 11/7) + 7/5 sin(10 t + 15/7) - 2087/4) θ(11 π - t) θ(t - 7 π) + (-9/4 sin(4/5 - 8 t) - 29/10 sin(1/3 - 7 t) - 4/5 sin(1/6 - 6 t) - 109/9 sin(10/7 - 3 t) - 1828/21 sin(6/5 - t) + 83/2 sin(2 t + 1/45) + 87/10 sin(4 t + 25/7) + 13/4 sin(5 t + 14/9) + 23/6 sin(9 t + 26/7) + 7/6 sin(10 t + 11/7) - 3047/6) θ(7 π - t) θ(t - 3 π) + (-23/7 sin(17/11 - 18 t) - 31/5 sin(3/5 - 15 t) - 39/7 sin(8/7 - 13 t) - 46/9 sin(3/5 - 11 t) - 87/5 sin(2/7 - 9 t) - 121/7 sin(3/4 - 8 t) - 179/5 sin(5/7 - 7 t) - 2184/37 sin(1/4 - 6 t) - 51/4 sin(1/2 - 4 t) - 372/7 sin(4/3 - 2 t) + 1457/4 sin(t + 29/7) + 181/4 sin(3 t + 16/7) + 38/3 sin(5 t + 23/7) + 173/10 sin(10 t + 17/5) + 80/7 sin(12 t + 19/5) + 6/5 sin(14 t + 1/4) + 8/5 sin(16 t + 11/9) + 12/7 sin(17 t + 7/4) + 24/7 sin(19 t + 17/7) + 9/7 sin(20 t + 23/7) + 15/4 sin(21 t + 18/19) + 19/18 sin(22 t + 32/13) + 5/2 sin(23 t + 5/4) + 266) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-5/6 sin(3/2 - 4 t) - 126/5 sin(8/5 - 3 t) - 103/5 sin(8/5 - 2 t) - 841/6 sin(8/5 - t) + 16/5 sin(5 t + 5/3) + 49/5 sin(6 t + 8/5) + 27/5 sin(7 t + 5/3) + 41/6 sin(8 t + 8/5) + 11/2 sin(9 t + 5/3) + 23/5 sin(10 t + 8/5) + 1/9 sin(11 t + 2) + 29/6 sin(12 t + 5/3) + 1064/3) θ(147 π - t) θ(t - 143 π) + (-1/3 sin(3/2 - 8 t) + 22/3 sin(t + 8/5) + 225/4 sin(2 t + 8/5) + 57/5 sin(3 t + 14/3) + 13/5 sin(4 t + 14/3) + 23/6 sin(5 t + 14/3) + 13/4 sin(6 t + 8/5) + 14/5 sin(7 t + 8/5) + 17/16 sin(9 t + 8/5) + 8/9 sin(10 t + 8/5) + 1/15 sin(11 t + 9/5) + 9/10 sin(12 t + 14/3) - 9/5) θ(143 π - t) θ(t - 139 π) + (-1/5 sin(7/5 - 10 t) - 1/4 sin(1/2 - 9 t) - 2/5 sin(1/2 - 8 t) - 12/5 sin(4/3 - 7 t) - 216/7 sin(8/5 - t) + 127/7 sin(2 t + 3/2) + 326/13 sin(3 t + 3/2) + 13/7 sin(4 t + 5/4) + 27/4 sin(5 t + 3/2) + 11/5 sin(6 t + 5/4) + 2/5 sin(11 t + 9/5) + 1/2 sin(12 t + 17/4) + 534/13) θ(139 π - t) θ(t - 135 π) + (426/7 sin(t + 8/5) + 44/5 sin(2 t + 8/5) + 3/2 sin(3 t + 8/5) + 5/3 sin(4 t + 14/3) + 41/8 sin(5 t + 8/5) + 11/3 sin(6 t + 8/5) + 4/3 sin(7 t + 8/5) + 1/4 sin(8 t + 14/3) + 1/13 sin(9 t + 8/5) + 1/5 sin(10 t + 5/3) + sin(11 t + 8/5) + 1/9 sin(12 t + 5/3) + 105/4) θ(135 π - t) θ(t - 131 π) + (-9/10 sin(8/5 - 10 t) + 653/5 sin(t + 8/5) + 16 sin(2 t + 8/5) + 109/4 sin(3 t + 8/5) + 39/4 sin(4 t + 8/5) + 28/5 sin(5 t + 8/5) + 6 sin(6 t + 8/5) + 25/4 sin(7 t + 8/5) + 35/17 sin(8 t + 8/5) + 1/7 sin(9 t + 14/3) + 2 sin(11 t + 8/5) + 7/3 sin(12 t + 8/5) - 1475/4) θ(131 π - t) θ(t - 127 π) + (-10/3 sin(8/5 - 22 t) - 17/8 sin(8/5 - 17 t) - 37/6 sin(8/5 - 16 t) - 29/5 sin(8/5 - 14 t) - 27/5 sin(8/5 - 12 t) - 35/4 sin(8/5 - 8 t) - 1053/4 sin(8/5 - 2 t) + 496/5 sin(t + 8/5) + 177/2 sin(3 t + 14/3) + 367/4 sin(4 t + 8/5) + 150/7 sin(5 t + 8/5) + 73/2 sin(6 t + 14/3) + 107/6 sin(7 t + 14/3) + 42/5 sin(9 t + 8/5) + 16/3 sin(10 t + 14/3) + 53/5 sin(11 t + 14/3) + 21/4 sin(13 t + 8/5) + 16/3 sin(15 t + 14/3) + 2/5 sin(18 t + 7/5) + 17/5 sin(19 t + 14/3) + 5 sin(20 t + 14/3) + 8/5 sin(21 t + 8/5) + 946/3) θ(127 π - t) θ(t - 123 π) + (-11/4 sin(3/2 - 11 t) - 73/5 sin(8/5 - 3 t) - 61/3 sin(8/5 - t) + 191/4 sin(2 t + 8/5) + 52/5 sin(4 t + 8/5) + 11/2 sin(5 t + 14/3) + 36/7 sin(6 t + 8/5) + 26/5 sin(7 t + 8/5) + 15/8 sin(8 t + 5/3) + 41/2 sin(9 t + 8/5) + 9/4 sin(10 t + 5/3) + 1/13 sin(12 t + 7/2) + 693/4) θ(123 π - t) θ(t - 119 π) + (-20/7 sin(3/2 - 12 t) - 10/3 sin(3/2 - 9 t) - 61/10 sin(3/2 - 8 t) - 2 sin(3/2 - 6 t) - 68/5 sin(8/5 - 5 t) - 19/6 sin(3/2 - 4 t) - 356/3 sin(8/5 - 2 t) - 283/6 sin(8/5 - t) + 14/3 sin(3 t + 3/2) + 10/3 sin(7 t + 8/5) + 7/5 sin(10 t + 8/5) + sin(11 t + 5/3) + 619) θ(119 π - t) θ(t - 115 π) + (751/4 sin(t + 14/3) + 17/6 sin(2 t + 8/5) + 95/4 sin(3 t + 14/3) + 2 sin(4 t + 14/3) + 8 sin(5 t + 14/3) + 1/8 sin(6 t + 7/4) + 11/3 sin(7 t + 14/3) + 1/10 sin(8 t + 9/2) + 9/4 sin(9 t + 14/3) + 1/4 sin(10 t + 14/3) + 3/2 sin(11 t + 14/3) + 1/8 sin(12 t + 13/3) + 3137/5) θ(115 π - t) θ(t - 111 π) + (1467/4 sin(t + 8/5) + 21/2 sin(2 t + 14/3) + 71/2 sin(3 t + 8/5) + 1/2 sin(4 t + 9/4) + 62/5 sin(5 t + 8/5) + 15/7 sin(6 t + 14/3) + 17/3 sin(7 t + 8/5) + 18/17 sin(8 t + 9/5) + 4 sin(9 t + 5/3) + 1/2 sin(10 t + 5/3) + 11/4 sin(11 t + 8/5) + 1/4 sin(12 t + 7/3) + 3178/9) θ(111 π - t) θ(t - 107 π) + (-66/13 sin(11/7 - 9 t) - 11/2 sin(11/7 - 5 t) - 15 sin(8/5 - 4 t) - 245/4 sin(8/5 - 3 t) - 133/6 sin(8/5 - 2 t) - 1341/5 sin(8/5 - t) + 41/4 sin(6 t + 8/5) + 9/4 sin(7 t + 14/3) + 39/8 sin(8 t + 8/5) + 8/5 sin(10 t + 8/5) + 4/5 sin(11 t + 14/3) + 3/5 sin(12 t + 8/5) - 375/4) θ(107 π - t) θ(t - 103 π) + (-12/5 sin(3/2 - 21 t) - 67/5 sin(8/5 - 13 t) - 31/5 sin(3/2 - 8 t) - 71/8 sin(3/2 - 6 t) - 78 sin(8/5 - 5 t) - 397/12 sin(8/5 - 3 t) - 90/7 sin(3/2 - 2 t) + 413/2 sin(t + 8/5) + 434/3 sin(4 t + 8/5) + 37/3 sin(7 t + 8/5) + 93/4 sin(9 t + 8/5) + 27/5 sin(10 t + 8/5) + 17 sin(11 t + 8/5) + 37/5 sin(12 t + 8/5) + 33/4 sin(14 t + 14/3) + 59/6 sin(15 t + 14/3) + 145/12 sin(16 t + 14/3) + 11/4 sin(17 t + 14/3) + 17/3 sin(18 t + 14/3) + 3 sin(19 t + 5/3) + 4/3 sin(20 t + 8/5) + 15/8 sin(22 t + 3/2) + sin(23 t + 14/3) + 1/2 sin(24 t + 8/5) + 1/5 sin(25 t + 4/3) - 1123/5) θ(103 π - t) θ(t - 99 π) + (-5/2 sin(3/2 - 11 t) - 47/8 sin(7/5 - 5 t) - 20 sin(8/5 - 3 t) + 55/4 sin(t + 8/5) + 449/5 sin(2 t + 14/3) + 325/6 sin(4 t + 8/5) + 137/3 sin(6 t + 8/5) + 13/6 sin(7 t + 5/4) + 75/4 sin(8 t + 3/2) + 27/4 sin(9 t + 3/2) + 17/3 sin(10 t + 3/2) + 17/2 sin(12 t + 3/2) - 1787/5) θ(99 π - t) θ(t - 95 π) + (-6 sin(8/5 - 23 t) - 10/11 sin(8/5 - 20 t) - 83/7 sin(8/5 - 15 t) - 25/3 sin(8/5 - 11 t) - 7/3 sin(3/2 - 8 t) - 57/4 sin(8/5 - 7 t) - 152/5 sin(8/5 - 4 t) - 199/4 sin(8/5 - 3 t) + 434/5 sin(t + 8/5) + 61 sin(2 t + 14/3) + 37/5 sin(5 t + 8/5) + 263/5 sin(6 t + 8/5) + 11/3 sin(9 t + 14/3) + 23/5 sin(10 t + 8/5) + 5/2 sin(12 t + 8/5) + 14/3 sin(13 t + 14/3) + 10 sin(14 t + 14/3) + 7/2 sin(16 t + 5/3) + 29/4 sin(17 t + 14/3) + 10/3 sin(18 t + 8/5) + 11/3 sin(19 t + 14/3) + 6/7 sin(21 t + 7/4) + 19/3 sin(22 t + 8/5) + 1/9 sin(24 t + 23/6) + 4 sin(25 t + 8/5) + 35/9 sin(26 t + 14/3) + 2213/7) θ(95 π - t) θ(t - 91 π) + (-1/11 sin(1 - 5 t) + 3 sin(t + 11/3) + 24/5 sin(2 t + 13/3) + 17/16 sin(3 t + 4/3) + 1/3 sin(4 t + 1/4) + 1/4 sin(6 t + 29/7) + 1/4 sin(7 t + 1/7) + 1/8 sin(8 t + 39/10) + 1/10 sin(10 t + 10/3) + 1/6 sin(11 t + 1/3) + 1/13 sin(12 t + 15/4) - 1902/11) θ(91 π - t) θ(t - 87 π) + (-8/7 sin(1 - 3 t) - 4 sin(7/5 - 2 t) + 1/2 sin(7 t) + 2/3 sin(9 t) + 2/5 sin(11 t) + 3/2 sin(t + 11/7) + 3/2 sin(4 t + 5/2) + 6/7 sin(5 t + 1/5) + 9/10 sin(6 t + 14/5) + 3/5 sin(8 t + 13/4) + 1/3 sin(10 t + 13/4) + 1/3 sin(12 t + 22/7) - 422/5) θ(87 π - t) θ(t - 83 π) + (-1/2 sin(10/9 - 12 t) - 2/3 sin(4/3 - 10 t) - 17/6 sin(10/9 - 6 t) - 11/3 sin(7/8 - 4 t) - 19/3 sin(1/4 - 3 t) - 352/5 sin(4/3 - t) + 16/5 sin(2 t + 13/3) + 16/15 sin(5 t + 7/5) + 5/3 sin(7 t + 19/10) + 14/13 sin(8 t + 17/4) + 3/4 sin(9 t + 14/5) + 2/5 sin(11 t + 3/4) - 1171/10) θ(83 π - t) θ(t - 79 π) + (-11/3 sin(1/3 - 8 t) + 20/7 sin(6 t) + 57/8 sin(t + 5/4) + 239/7 sin(2 t + 1/3) + 61/12 sin(3 t + 2/3) + 97/5 sin(4 t + 1) + 64/7 sin(5 t + 9/2) + 17/3 sin(7 t + 18/5) + 5/2 sin(9 t + 11/4) + 5/4 sin(10 t + 2/5) + 7/2 sin(11 t + 18/5) + 11/4 sin(12 t + 2/3) - 1045/3) θ(79 π - t) θ(t - 75 π) + (-2/3 sin(3/5 - 30 t) - 8/5 sin(20/19 - 25 t) - 5/2 sin(9/10 - 24 t) - 39/5 sin(5/6 - 19 t) - 43/4 sin(1/4 - 16 t) - 10 sin(2/5 - 15 t) - 13/5 sin(5/4 - 12 t) - 22/3 sin(16/15 - 8 t) - 34/3 sin(3/5 - 6 t) - 35/4 sin(7/5 - 4 t) - 87/4 sin(3/4 - 3 t) + 869/3 sin(t + 7/2) + 55/2 sin(2 t + 29/7) + 39/4 sin(5 t + 1/8) + 51/4 sin(7 t + 3/2) + 19/2 sin(9 t + 17/5) + 38/5 sin(10 t + 4/7) + 16/3 sin(11 t + 14/3) + 35/4 sin(13 t + 13/5) + 121/8 sin(14 t + 8/5) + 7/2 sin(17 t + 3) + 33/4 sin(18 t + 17/4) + 5/3 sin(20 t + 2) + 13/4 sin(21 t + 1/3) + 9/2 sin(22 t + 18/5) + 11/4 sin(23 t + 23/6) + sin(26 t + 15/4) + 2 sin(27 t + 19/10) + 17/9 sin(28 t + 14/5) + 5/2 sin(29 t + 16/5) + 9/4 sin(31 t + 1/13) - 986/7) θ(75 π - t) θ(t - 71 π) + (-5/4 sin(1/7 - 14 t) - 1/3 sin(5/6 - 13 t) - 8/3 sin(1/2 - 9 t) - 11/4 sin(8/5 - 8 t) + 244/3 sin(t + 11/3) + 44/5 sin(2 t + 12/5) + 216/7 sin(3 t + 14/3) + 34/3 sin(4 t + 20/7) + 5 sin(5 t + 4) + 91/5 sin(6 t + 7/8) + 13/2 sin(7 t + 12/5) + 22/7 sin(10 t + 1/3) + 7/4 sin(11 t + 58/19) + 7/3 sin(12 t + 7/5) + 7/3 sin(15 t + 17/5) + 8/7 sin(16 t + 11/10) + 3/2 sin(17 t + 13/7) + 9/8 sin(18 t + 1/2) + 3/5 sin(19 t + 33/16) + 1/2 sin(20 t + 6/5) - 694/5) θ(71 π - t) θ(t - 67 π) + (2085/7 sin(t + 8/5) + 19/5 sin(2 t + 12/5) + 150/7 sin(3 t + 8/5) + 15/4 sin(4 t + 4) + 7/2 sin(5 t + 11/6) + 51/10 sin(6 t + 17/4) + 7/4 sin(7 t + 13/4) + 14/3 sin(8 t + 13/3) + 12/5 sin(9 t + 11/3) + 17/5 sin(10 t + 13/3) + 13/5 sin(11 t + 15/4) + 25/12 sin(12 t + 33/8) + 3114/7) θ(67 π - t) θ(t - 63 π) + (-6/7 sin(3/4 - 10 t) - 2/3 sin(2/5 - 6 t) + 1183/4 sin(t + 7/5) + 57/5 sin(2 t + 15/14) + 83/3 sin(3 t + 5/4) + 15/4 sin(4 t + 2/5) + 52/5 sin(5 t + 1) + 39/8 sin(7 t + 3/5) + 2/3 sin(8 t + 1/4) + 9/4 sin(9 t + 1/2) + 3/2 sin(11 t + 1/3) + 1/2 sin(12 t + 14/3) + 1292/3) θ(63 π - t) θ(t - 59 π) + (-3/2 sin(3/2 - 12 t) - 7/5 sin(1/10 - 11 t) - 17/5 sin(4/5 - 9 t) - 218/5 sin(5/4 - 3 t) + 212 sin(t + 7/5) + 629/5 sin(2 t + 5/3) + 349/10 sin(4 t + 5/3) + 37/6 sin(5 t + 3/5) + 9/4 sin(6 t + 9/2) + 33/5 sin(7 t + 4/3) + 5/2 sin(8 t + 15/8) + 11/3 sin(10 t + 2) - 403) θ(59 π - t) θ(t - 55 π) + (-1/3 sin(1/2 - 10 t) - 29/7 sin(1/3 - 4 t) + 86/3 sin(t + 5/2) + 131/5 sin(2 t + 7/2) + 67/5 sin(3 t + 3/2) + 19/3 sin(5 t + 43/11) + 2 sin(6 t + 1) + 21/11 sin(7 t + 16/5) + 4/5 sin(8 t + 14/3) + 3/4 sin(9 t + 12/5) + 6/5 sin(11 t + 13/4) + 2/3 sin(12 t + 6/5) + 1/6 sin(13 t + 13/4) + 2/5 sin(14 t + 3/5) + 2/5 sin(15 t + 4) + 1/16 sin(16 t + 3/4) + 1/4 sin(17 t + 17/5) + 1/3 sin(18 t + 1/10) + 1/2 sin(19 t + 15/4) + 225/2) θ(55 π - t) θ(t - 51 π) + (-1/3 sin(1/16 - 18 t) - 2/5 sin(1/15 - 16 t) - 5/6 sin(1/4 - 12 t) - 2/3 sin(1/3 - 10 t) - 9/5 sin(1/4 - 6 t) - 36/5 sin(14/13 - 3 t) - 33/2 sin(1/5 - t) + 119/8 sin(2 t + 6/7) + 4/3 sin(4 t + 11/3) + 7/2 sin(5 t + 9/5) + 2/5 sin(7 t + 25/6) + 3/5 sin(8 t + 1/13) + 3/5 sin(9 t + 20/7) + 3/4 sin(11 t + 2) + 2/5 sin(13 t + 18/5) + 2/5 sin(14 t + 1/2) + 1/4 sin(15 t + 23/11) + 1/6 sin(17 t + 5/2) - 283/4) θ(51 π - t) θ(t - 47 π) + (-sin(2/3 - 24 t) - 5/6 sin(4/3 - 23 t) - 8/5 sin(1/3 - 22 t) - sin(10/9 - 17 t) - 3/2 sin(1 - 16 t) - 33/4 sin(1/9 - 8 t) + 1241/10 sin(t + 3/2) + 100/3 sin(2 t + 5/4) + 62/3 sin(3 t + 5/4) + 199/18 sin(4 t + 1/4) + 8 sin(5 t + 1/2) + 215/8 sin(6 t + 7/3) + 15/2 sin(7 t + 19/10) + 58/19 sin(9 t + 14/5) + 65/8 sin(10 t + 1/6) + 15/4 sin(11 t + 2/5) + 29/4 sin(12 t + 1/3) + 14/3 sin(13 t + 17/5) + 13/7 sin(14 t + 1/8) + 11/4 sin(15 t + 19/6) + 18/5 sin(18 t + 5/4) + 8/9 sin(19 t + 5/3) + 4/3 sin(20 t + 1/12) + 7/5 sin(21 t + 5/2) + 3/5 sin(25 t + 4) + 1609/5) θ(47 π - t) θ(t - 43 π) + (-5/4 sin(4/3 - 21 t) - 7/5 sin(7/6 - 18 t) - 2/3 sin(7/5 - 17 t) - 43/4 sin(5/6 - 7 t) - 137/5 sin(8/5 - 2 t) - 1137/16 sin(8/5 - t) + 16/3 sin(3 t + 14/3) + 78/7 sin(4 t + 7/2) + 37/2 sin(5 t + 14/5) + 62/3 sin(6 t + 23/8) + 35/4 sin(8 t + 10/3) + 7/2 sin(9 t + 21/5) + 2 sin(10 t + 9/2) + 2 sin(11 t + 1) + 3 sin(12 t + 1/7) + 3/5 sin(13 t + 19/6) + 5/4 sin(14 t + 4/5) + 18/5 sin(15 t + 5/3) + 7/4 sin(16 t + 7/4) + 7/8 sin(19 t + 9/5) + 7/5 sin(20 t + 2) + 12/11 sin(22 t + 7/8) + 1/4 sin(23 t + 26/9) + sin(24 t + 22/5) + 2/3 sin(25 t + 8/3) - 1772/7) θ(43 π - t) θ(t - 39 π) + (-1/3 sin(7/5 - 23 t) - 5/4 sin(3/5 - 22 t) - 3/4 sin(3/5 - 21 t) - 8/3 sin(1/4 - 19 t) - 19/6 sin(1/3 - 12 t) - 11/2 sin(5/4 - 9 t) + 344/3 sin(t + 9/2) + 46/3 sin(2 t + 15/4) + 132/5 sin(3 t + 17/4) + 13 sin(4 t + 11/3) + 47/3 sin(5 t + 19/5) + 34/11 sin(6 t + 29/14) + 13/4 sin(7 t + 37/9) + 79/10 sin(8 t + 10/3) + 42/5 sin(10 t + 3/2) + 15/2 sin(11 t + 5/3) + 11/3 sin(13 t + 7/2) + 7/5 sin(14 t + 3) + 5/4 sin(15 t + 19/5) + 2 sin(16 t + 1/3) + 3/4 sin(17 t + 6/5) + 1/2 sin(18 t + 17/6) + 8/7 sin(20 t + 2/3) + 1439/4) θ(39 π - t) θ(t - 35 π) + (-3/5 sin(1/7 - 12 t) - 12/5 sin(1/4 - 2 t) + 3/5 sin(8 t) + 87/2 sin(t + 1/8) + 23/5 sin(3 t + 7/5) + 2 sin(4 t + 1/17) + 3 sin(5 t + 14/5) + 6/5 sin(6 t + 1/5) + 2 sin(7 t + 10/3) + 9/8 sin(9 t + 22/7) + 1/2 sin(10 t + 1/7) + 7/8 sin(11 t + 31/10) + 133/4) θ(35 π - t) θ(t - 31 π) + (-4/3 sin(5/4 - 12 t) - 9/4 sin(1/4 - 9 t) - 7/4 sin(4/3 - 8 t) + 199/5 sin(t + 2/3) + 117/4 sin(2 t + 7/3) + 161/9 sin(3 t + 25/8) + 181/15 sin(4 t + 5/3) + 5/3 sin(5 t + 1/3) + 20/3 sin(6 t + 7/3) + 14/13 sin(7 t + 13/3) + 7/4 sin(10 t + 7/4) + 1/2 sin(11 t + 1) - 2597/5) θ(31 π - t) θ(t - 27 π) + (-3/4 sin(6/5 - 6 t) + 2 sin(12 t) + 131/4 sin(t + 14/3) + 57/5 sin(2 t + 9/4) + 72/5 sin(3 t + 10/3) + 13/2 sin(4 t + 13/4) + 17/3 sin(5 t + 1/18) + 5/3 sin(7 t + 11/6) + 11/4 sin(8 t + 2/3) + 13/4 sin(9 t + 10/3) + 3/5 sin(10 t + 31/15) + 5/3 sin(11 t + 19/6) + 6/5 sin(13 t + 13/4) + 5/4 sin(14 t + 1/3) + 2/5 sin(15 t + 11/3) + 3/5 sin(16 t + 1/3) + 5/6 sin(17 t + 16/5) + 2/3 sin(18 t + 1) + 2/3 sin(19 t + 15/4) - 937/4) θ(27 π - t) θ(t - 23 π) + (-409/3 sin(4/3 - t) + 103/2 sin(2 t + 13/6) + 56/5 sin(3 t + 14/5) + 67/3 sin(4 t + 11/4) + 170/13 sin(5 t + 13/4) + 5/2 sin(6 t + 4) + 31/8 sin(7 t + 1/15) + 17/9 sin(8 t + 7/8) + 28/9 sin(9 t + 13/4) + 5/3 sin(10 t + 7/3) + 3/2 sin(11 t + 10/3) + 2/5 sin(12 t + 9/2) + 239/3) θ(23 π - t) θ(t - 19 π) + (-17/5 sin(2/3 - 6 t) - 526/5 sin(6/5 - t) + 189/5 sin(2 t + 7/3) + 127/14 sin(3 t + 35/9) + 62/3 sin(4 t + 37/9) + 52/5 sin(5 t + 41/10) + 24/5 sin(7 t + 13/7) + 5/4 sin(8 t + 4/5) + 7/2 sin(9 t + 37/9) + 2 sin(10 t + 1/2) + 7/5 sin(11 t + 5/3) + 13/5 sin(12 t + 6/7) + 99) θ(19 π - t) θ(t - 15 π) + (-1/4 sin(3/2 - 11 t) - 5/6 sin(7/5 - 10 t) + (424 sin(t))/5 + 75/4 sin(2 t + 25/8) + 187/6 sin(3 t + 22/7) + 11/3 sin(4 t + 10/3) + 31/4 sin(5 t + 3) + 16/5 sin(6 t + 13/4) + 1/9 sin(7 t + 7/2) + 3 sin(8 t + 11/3) + 5/4 sin(9 t + 11/5) + 3/5 sin(12 t + 25/6) - 2627/5) θ(15 π - t) θ(t - 11 π) + (-13/5 sin(3/5 - 12 t) - 14/3 sin(4/3 - 10 t) + 709/4 sin(t + 17/4) + 101/3 sin(2 t + 4) + 95/3 sin(3 t + 9/4) + 41/3 sin(4 t + 22/5) + 7 sin(5 t + 23/5) + 29/10 sin(6 t + 8/3) + 29/6 sin(7 t + 25/6) + 13/2 sin(8 t + 39/10) + 27/4 sin(9 t + 3/2) + 39/5 sin(11 t + 7/4) + 1903/5) θ(11 π - t) θ(t - 7 π) + (-7/6 sin(1/4 - 21 t) - 4 sin(8/7 - 20 t) - 17/5 sin(6/5 - 19 t) - 286/15 sin(1/2 - 10 t) - 76/3 sin(1/3 - 3 t) + 1391/5 sin(t + 3/2) + 343/3 sin(2 t + 19/5) + 1036/9 sin(4 t + 8/3) + 184/5 sin(5 t + 2/3) + 171/4 sin(6 t + 4/3) + 139/4 sin(7 t + 1/4) + 10/3 sin(8 t + 11/3) + 16 sin(9 t + 17/9) + 41/3 sin(11 t + 13/4) + 62/3 sin(12 t + 3/5) + 62/9 sin(13 t + 5/3) + 87/5 sin(14 t + 5/2) + 51/4 sin(15 t + 9/4) + 15/7 sin(16 t + 11/3) + 9/5 sin(17 t + 14/5) + 14/5 sin(18 t + 3) + 8/3 sin(22 t + 3/2) + 2433/5) θ(7 π - t) θ(t - 3 π) + (-39/5 sin(1 - 15 t) - 5/3 sin(2/5 - 12 t) - 15/2 sin(1/2 - 11 t) - 80/3 sin(1/9 - 7 t) - 125/4 sin(6/5 - 6 t) + 739/6 sin(t + 1/2) + 118/3 sin(2 t + 21/5) + 32/5 sin(3 t + 5/4) + 114/5 sin(4 t + 1) + 15/2 sin(5 t + 12/5) + 63/4 sin(8 t + 4) + 53/6 sin(9 t + 11/4) + 38/5 sin(10 t + 4/3) + 19/4 sin(13 t + 17/8) + 22/5 sin(14 t + 5/4) + 8/5 sin(16 t + 5/4) + 1/3 sin(17 t + 10/9) + 15/4 sin(18 t + 1/4) + 1/2 sin(19 t + 3/2) + 5/2 sin(20 t + 3/5) - 1421/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-3/2 sin(7/5 - 5 t) - 101/3 sin(8/5 - 4 t) - 1/4 sin(1/2 - 3 t) - 205/4 sin(8/5 - 2 t) + 1077/4 sin(t + 8/5) + 5/2 sin(6 t + 14/3) + 39/10 sin(7 t + 8/5) + 3/5 sin(8 t + 22/5) + 42/5 sin(9 t + 8/5) + 9/5 sin(10 t + 5/3) + 3/2 sin(11 t + 8/5) + 17/8 sin(12 t + 5/3) + 1907/5) θ(147 π - t) θ(t - 143 π) + (-9/10 sin(8/5 - 10 t) - 2/3 sin(11/7 - 8 t) + 263/5 sin(t + 14/3) + 201/10 sin(2 t + 8/5) + 36 sin(3 t + 8/5) + 10 sin(5 t + 8/5) + 4/3 sin(6 t + 8/5) + 8/7 sin(7 t + 8/5) + 1/2 sin(9 t + 5/3) + 10/3 sin(11 t + 8/5) + 1/6 sin(12 t + 22/5) + 903/4) θ(143 π - t) θ(t - 139 π) + (108/5 sin(t + 14/3) + 368/9 sin(2 t + 14/3) + 50/3 sin(3 t + 8/5) + 1/4 sin(4 t + 13/3) + 17/9 sin(5 t + 5/3) + 11/6 sin(6 t + 14/3) + 7/6 sin(7 t + 7/4) + 5/3 sin(8 t + 23/5) + 5/6 sin(9 t + 9/2) + 2 sin(10 t + 23/5) + 3/5 sin(11 t + 2) + 6/7 sin(12 t + 22/5) + 3671/10) θ(139 π - t) θ(t - 135 π) + (-1/3 sin(3/2 - 11 t) - 122/3 sin(8/5 - t) + 529/8 sin(2 t + 8/5) + 29/3 sin(3 t + 8/5) + 14/3 sin(4 t + 8/5) + 21/4 sin(5 t + 14/3) + 3 sin(6 t + 8/5) + 12/11 sin(7 t + 8/5) + 40/13 sin(8 t + 8/5) + 1/2 sin(9 t + 14/3) + 3/5 sin(10 t + 8/5) + 19/18 sin(12 t + 8/5) - 573/4) θ(135 π - t) θ(t - 131 π) + (-23/8 sin(8/5 - 10 t) - 17/5 sin(8/5 - 6 t) - 801/16 sin(8/5 - 2 t) + 887/5 sin(t + 8/5) + 17/2 sin(3 t + 8/5) + 17/4 sin(4 t + 14/3) + 61/5 sin(5 t + 8/5) + 2/5 sin(7 t + 14/3) + 33/5 sin(8 t + 14/3) + 2 sin(9 t + 14/3) + 8/3 sin(11 t + 8/5) + 8/3 sin(12 t + 8/5) + 1687/6) θ(131 π - t) θ(t - 127 π) + (-14/5 sin(8/5 - 21 t) - 5/2 sin(3/2 - 20 t) - 2/3 sin(3/2 - 18 t) - 42/5 sin(8/5 - 11 t) - 36/5 sin(8/5 - 9 t) - 6 sin(3/2 - 7 t) - 29/4 sin(3/2 - 5 t) + 595/6 sin(t + 8/5) + 1902/5 sin(2 t + 8/5) + 94/3 sin(3 t + 14/3) + 238/3 sin(4 t + 8/5) + 167/7 sin(6 t + 8/5) + 31/6 sin(8 t + 14/3) + 29/2 sin(10 t + 8/5) + 21/10 sin(12 t + 14/3) + 9/2 sin(13 t + 14/3) + 7/3 sin(14 t + 14/3) + 13/4 sin(15 t + 14/3) + 1/11 sin(16 t + 17/4) + 9 sin(17 t + 14/3) + 2/3 sin(19 t + 14/3) + 2/3 sin(22 t + 14/3) - 3365/3) θ(127 π - t) θ(t - 123 π) + (-43/5 sin(3/2 - 11 t) - 295/14 sin(3/2 - 7 t) - 29/3 sin(3/2 - 6 t) - 294/5 sin(8/5 - t) + 1159/10 sin(2 t + 8/5) + 49/4 sin(3 t + 8/5) + 134/3 sin(4 t + 8/5) + 49/3 sin(5 t + 8/5) + 83/5 sin(8 t + 8/5) + 9/2 sin(9 t + 5/3) + 5/6 sin(10 t + 7/5) + 23/6 sin(12 t + 8/5) - 2094/7) θ(123 π - t) θ(t - 119 π) + (-4/3 sin(8/5 - 7 t) - 104/3 sin(8/5 - 3 t) + 305/3 sin(t + 8/5) + 369/5 sin(2 t + 8/5) + 62/3 sin(4 t + 8/5) + 23/11 sin(5 t + 8/5) + 21/4 sin(6 t + 8/5) + 19/4 sin(8 t + 8/5) + 13/12 sin(9 t + 14/3) + 13/4 sin(10 t + 8/5) + 3/2 sin(11 t + 8/5) + 5/4 sin(12 t + 8/5) - 2422/3) θ(119 π - t) θ(t - 115 π) + (333/5 sin(t + 8/5) + 27/5 sin(2 t + 8/5) + 7/3 sin(3 t + 14/3) + 6 sin(4 t + 14/3) + 1/14 sin(5 t + 9/2) + 5/6 sin(6 t + 14/3) + 1/4 sin(7 t + 8/5) + 2/5 sin(8 t + 14/3) + 1/2 sin(9 t + 8/5) + 3/4 sin(10 t + 14/3) + 1/2 sin(11 t + 8/5) + 2/5 sin(12 t + 14/3) - 2627/4) θ(115 π - t) θ(t - 111 π) + (-sin(3/2 - 12 t) + 552/5 sin(t + 8/5) + 259/5 sin(2 t + 8/5) + 78/5 sin(3 t + 8/5) + 31/4 sin(4 t + 8/5) + 28/5 sin(5 t + 14/3) + 37/2 sin(6 t + 8/5) + 10/3 sin(7 t + 14/3) + 1/4 sin(8 t + 19/9) + 12/5 sin(9 t + 8/5) + 1/5 sin(10 t + 7/5) + 2/3 sin(11 t + 3/2) - 1447/3) θ(111 π - t) θ(t - 107 π) + (-20/3 sin(3/2 - 11 t) - 19/3 sin(8/5 - 9 t) - 9 sin(3/2 - 8 t) - 62/5 sin(3/2 - 6 t) - 162/5 sin(8/5 - 5 t) - 359/3 sin(8/5 - 3 t) + 907/4 sin(t + 8/5) + 359/6 sin(2 t + 8/5) + 35/4 sin(4 t + 8/5) + 1/2 sin(7 t + 5/4) + 2/3 sin(10 t + 7/5) + 1/3 sin(12 t + 4/3) - 119/4) θ(107 π - t) θ(t - 103 π) + (-5/4 sin(3/2 - 25 t) - 8/7 sin(3/2 - 24 t) - 39/5 sin(8/5 - 13 t) - 118/5 sin(8/5 - 11 t) - 23/6 sin(3/2 - 4 t) - 1273/7 sin(8/5 - 3 t) + 1699/4 sin(t + 8/5) + 571/4 sin(2 t + 8/5) + 25/2 sin(5 t + 14/3) + 80/3 sin(6 t + 8/5) + 5/3 sin(7 t + 8/5) + 55/3 sin(8 t + 8/5) + 64/5 sin(9 t + 14/3) + 25/8 sin(10 t + 14/3) + sin(12 t + 5/3) + 21/5 sin(14 t + 8/5) + 28/5 sin(15 t + 8/5) + 60/7 sin(16 t + 8/5) + 38/5 sin(17 t + 3/2) + 64/5 sin(18 t + 3/2) + 71/10 sin(19 t + 3/2) + 53/4 sin(20 t + 8/5) + 16/3 sin(21 t + 8/5) + 24/5 sin(22 t + 3/2) + 2/5 sin(23 t + 5/4) - 2456/3) θ(103 π - t) θ(t - 99 π) + (-199/18 sin(8/5 - 8 t) - 36/7 sin(10/7 - 5 t) - 29/3 sin(3/2 - 4 t) - 44/3 sin(7/5 - t) + 1268/3 sin(2 t + 8/5) + 47/8 sin(3 t + 7/5) + 195/4 sin(6 t + 8/5) + 17/3 sin(7 t + 3/2) + 1/3 sin(9 t + 13/3) + 23/3 sin(10 t + 8/5) + 5/4 sin(11 t + 4/3) + 61/12 sin(12 t + 14/3) - 229) θ(99 π - t) θ(t - 95 π) + (-5/3 sin(3/2 - 26 t) - 16/3 sin(8/5 - 23 t) - 43/5 sin(3/2 - 22 t) - 3/5 sin(7/5 - 21 t) - 28/3 sin(8/5 - 18 t) - 9/2 sin(8/5 - 11 t) - 19/5 sin(3/2 - 9 t) - 22/5 sin(3/2 - 8 t) - 209/4 sin(8/5 - 5 t) - 54/5 sin(3/2 - 4 t) - 133/4 sin(8/5 - t) + 1697/5 sin(2 t + 8/5) + 521/10 sin(3 t + 8/5) + 53/4 sin(6 t + 8/5) + 92/5 sin(7 t + 8/5) + 291/10 sin(10 t + 8/5) + 125/6 sin(12 t + 8/5) + 25/3 sin(13 t + 8/5) + 39/5 sin(14 t + 3/2) + 31/3 sin(15 t + 8/5) + 35/6 sin(16 t + 8/5) + 25/4 sin(17 t + 8/5) + 44/5 sin(19 t + 8/5) + 7/3 sin(20 t + 14/3) + 1/5 sin(24 t + 13/7) + 6/5 sin(25 t + 5/3) + 911/5) θ(95 π - t) θ(t - 91 π) + (-1/11 sin(5/4 - 9 t) - 1/2 sin(7/5 - 5 t) - 25/8 sin(1/3 - 2 t) - 19/4 sin(3/4 - t) + sin(3 t + 17/4) + 1/2 sin(4 t + 4/3) + 1/4 sin(6 t + 9/5) + 1/7 sin(7 t + 1/2) + 1/14 sin(8 t + 5/6) + 911/2) θ(91 π - t) θ(t - 87 π) + (-1/3 sin(1/10 - 7 t) - 45/11 sin(1/4 - t) + 3/5 sin(5 t) + 1/3 sin(11 t) + 41/10 sin(2 t + 2/5) + 3 sin(3 t + 1/4) + 11/6 sin(4 t + 7/2) + 3/4 sin(6 t + 10/3) + 1/3 sin(8 t + 7/2) + 1/3 sin(9 t + 2/5) + 1/3 sin(10 t + 28/9) + 1/4 sin(12 t + 3) + 1435/3) θ(87 π - t) θ(t - 83 π) + (47/2 sin(t + 29/7) + 7/5 sin(2 t + 11/6) + 49/5 sin(3 t + 35/9) + 37/3 sin(4 t + 4) + 11/4 sin(5 t + 1/3) + 3 sin(6 t + 11/4) + 10/3 sin(7 t + 1/4) + 12/5 sin(8 t + 11/3) + 5/4 sin(9 t + 1/3) + 4/3 sin(10 t + 7/2) + sin(11 t + 2/3) + 3/4 sin(12 t + 16/5) + 1883/4) θ(83 π - t) θ(t - 79 π) + (-10/3 sin(1/4 - 8 t) - 5 sin(9/10 - 6 t) + 5/2 sin(t + 3/5) + 190/3 sin(2 t + 1/2) + 35/3 sin(3 t + 4) + 7/4 sin(4 t + 7/5) + 73/9 sin(5 t + 65/16) + 18/5 sin(7 t + 17/6) + 7/4 sin(9 t + 23/8) + 15/7 sin(10 t + 1) + 23/11 sin(11 t + 7/2) + 3/2 sin(12 t + 1/3) + 959/3) θ(79 π - t) θ(t - 75 π) + (-1/4 sin(1/5 - 31 t) - sin(2/5 - 30 t) - 7/5 sin(1 - 28 t) - 5/3 sin(4/3 - 15 t) - 17/6 sin(1/2 - 6 t) - 25/2 sin(2/5 - 4 t) + 468/7 sin(t + 13/4) + 749/10 sin(2 t + 1/9) + 85/3 sin(3 t + 5/4) + 39/4 sin(5 t + 15/8) + 57/4 sin(7 t + 15/8) + 4 sin(8 t + 7/5) + 25/4 sin(9 t + 13/6) + 49/8 sin(10 t + 6/5) + 23/5 sin(11 t + 2/3) + 17/5 sin(12 t + 25/6) + 8/3 sin(13 t + 37/12) + 35/4 sin(14 t + 9/4) + 7/2 sin(16 t + 21/5) + 82/9 sin(17 t + 2) + 33/5 sin(18 t + 17/5) + 21/5 sin(19 t + 2/3) + 11/4 sin(20 t + 22/7) + 10/3 sin(21 t + 2/3) + 12/5 sin(22 t + 2/5) + 28/9 sin(23 t + 5/2) + 35/6 sin(24 t + 2/5) + 7/3 sin(25 t + 8/3) + 7/4 sin(26 t + 5/4) + 8/5 sin(27 t + 7/6) + 5/2 sin(29 t + 12/5) + 2464/5) θ(75 π - t) θ(t - 71 π) + (-1/2 sin(7/5 - 18 t) - 7/4 sin(7/8 - 13 t) - 7/2 sin(8/7 - 10 t) - 18/5 sin(17/16 - 6 t) + 81/4 sin(t + 10/3) + 115/7 sin(2 t + 9/2) + 20/3 sin(3 t + 11/6) + 81/8 sin(4 t + 12/5) + 41/6 sin(5 t + 8/5) + 11/3 sin(7 t + 1/3) + 5/2 sin(8 t + 3/5) + 7/2 sin(9 t + 2/5) + 43/14 sin(11 t + 2) + 6/5 sin(12 t + 8/5) + sin(14 t + 17/5) + 4/5 sin(15 t + 8/5) + 3/5 sin(16 t + 2) + 29/14 sin(17 t + 5/3) + 1/3 sin(19 t + 3) + 2/5 sin(20 t + 17/6) + 1703/3) θ(71 π - t) θ(t - 67 π) + (-111/11 sin(3/4 - 3 t) - 379/6 sin(4/3 - t) + 23/4 sin(5 t) + 4/3 sin(11 t) + 81/2 sin(2 t + 5/3) + 78/5 sin(4 t + 8/5) + 22/3 sin(6 t + 5/3) + 11/3 sin(7 t + 1/2) + 27/7 sin(8 t + 8/5) + 2 sin(9 t + 3/5) + 7/3 sin(10 t + 3/2) + 23/11 sin(12 t + 9/5) - 6914/5) θ(67 π - t) θ(t - 63 π) + (-4 sin(8/9 - 11 t) - 3 sin(11/10 - 7 t) - 127/14 sin(1 - 5 t) - 71/5 sin(4/5 - 3 t) - 167/3 sin(7/5 - t) + 124/5 sin(2 t + 5/3) + 12 sin(4 t + 7/4) + 23/4 sin(6 t + 8/9) + 23/11 sin(8 t + 1/3) + 5/2 sin(9 t + 1/4) + 11/10 sin(10 t + 29/10) + 7/5 sin(12 t + 1) - 9857/7) θ(63 π - t) θ(t - 59 π) + (-3/2 sin(1/8 - 12 t) - 29/6 sin(2/5 - 9 t) - 8 sin(4/5 - 7 t) - 48/7 sin(1/16 - 4 t) - 115/4 sin(7/6 - t) + 209/4 sin(2 t + 4/3) + 17/5 sin(3 t + 2/3) + 6 sin(5 t + 2/3) + 13/3 sin(6 t + 3/5) + 9/2 sin(8 t + 5/6) + 8/3 sin(10 t + 1/3) + 5/3 sin(11 t + 1/8) - 4831/4) θ(59 π - t) θ(t - 55 π) + (-1/3 sin(8/5 - 16 t) - 1/2 sin(1/3 - 15 t) - 4/3 sin(7/6 - 11 t) - 2 sin(5/4 - 7 t) - 5 sin(1/2 - 5 t) - 199/4 sin(5/6 - 2 t) + 251/4 sin(t + 37/9) + 95/8 sin(3 t + 11/3) + 19/5 sin(4 t + 7/2) + 14/13 sin(6 t + 21/5) + 19/10 sin(8 t + 9/2) + 6/5 sin(9 t + 8/3) + 7/8 sin(10 t + 2/5) + 2/3 sin(12 t + 7/2) + 1/6 sin(13 t + 3/4) + 1/4 sin(17 t + 22/5) + 1/5 sin(18 t + 11/4) + 1/4 sin(19 t + 1/3) - 9119/8) θ(55 π - t) θ(t - 51 π) + (-2/3 sin(1/2 - 13 t) - 2/3 sin(3/4 - 9 t) - 7/6 sin(4/3 - 7 t) - 97/4 sin(3/4 - 2 t) + 14/3 sin(5 t) + 1/3 sin(15 t) + 175/4 sin(t + 13/3) + 33/5 sin(3 t + 13/3) + 43/7 sin(4 t + 10/3) + 9/5 sin(6 t + 19/5) + 1/4 sin(8 t + 15/4) + 5/4 sin(10 t + 25/7) + 16/15 sin(11 t + 1/3) + 2/3 sin(12 t + 18/5) + 3/5 sin(14 t + 25/8) + 1/2 sin(16 t + 22/7) + 3/5 sin(17 t + 1/4) + 3/5 sin(18 t + 7/2) - 2065/2) θ(51 π - t) θ(t - 47 π) + (-1/9 sin(6/7 - 21 t) - 20/19 sin(1/9 - 17 t) - 13/3 sin(3/2 - 14 t) - 23/4 sin(15/14 - 4 t) + 2 sin(22 t) + 1017/5 sin(t + 14/3) + 93/4 sin(2 t + 3/2) + 93/5 sin(3 t + 14/3) + 11/2 sin(5 t + 20/7) + 85/6 sin(6 t + 8/3) + 49/4 sin(7 t + 31/15) + 13/3 sin(8 t + 23/5) + 14/3 sin(9 t + 1) + 9/5 sin(10 t + 22/5) + 32/5 sin(11 t + 23/8) + 28/5 sin(12 t + 41/10) + 20/3 sin(13 t + 3/4) + 9/5 sin(15 t + 8/5) + 8/3 sin(16 t + 23/5) + 18/17 sin(18 t + 1/4) + 7/5 sin(19 t + 1) + 1/3 sin(20 t + 5/4) + 7/5 sin(23 t + 5/3) + 1/3 sin(24 t + 8/5) + 1/2 sin(25 t + 3/5) - 5518/5) θ(47 π - t) θ(t - 43 π) + (-4/5 sin(1/3 - 22 t) - 3/4 sin(6/5 - 20 t) - 1/4 sin(1 - 18 t) - sin(4/3 - 8 t) - 4 sin(3/2 - 7 t) - 35/4 sin(3/4 - 5 t) + 641/4 sin(t + 14/3) + 51/4 sin(2 t + 5/3) + 62/5 sin(3 t + 9/2) + 55/9 sin(4 t + 1) + 29/6 sin(6 t + 1/6) + 31/4 sin(9 t + 22/5) + 29/14 sin(10 t + 4) + 1/6 sin(11 t + 11/3) + 21/4 sin(12 t + 3/4) + 22/5 sin(13 t + 19/5) + 8/7 sin(14 t + 49/12) + 18/5 sin(15 t + 2/3) + 8/5 sin(16 t + 4) + 8/5 sin(17 t + 6/7) + 7/8 sin(19 t + 7/2) + 1/3 sin(21 t + 8/5) + 1/4 sin(23 t + 13/4) + 3/4 sin(24 t + 13/5) + 3/5 sin(25 t + 5/4) - 4856/5) θ(43 π - t) θ(t - 39 π) + (-51/2 sin(5/4 - 2 t) + 1029/4 sin(t + 7/5) + 39/2 sin(3 t + 7/4) + 99/5 sin(4 t + 25/6) + 14/3 sin(5 t + 23/8) + 71/8 sin(6 t + 4) + 6 sin(7 t + 7/3) + 27/4 sin(8 t + 15/4) + 2 sin(9 t + 7/6) + 3/5 sin(10 t + 17/8) + 22/5 sin(11 t + 3/2) + 11/4 sin(12 t + 25/6) + 26/9 sin(13 t + 15/4) + 25/12 sin(14 t + 7/2) + 16/5 sin(15 t + 14/5) + 9/2 sin(16 t + 18/5) + 4/3 sin(17 t + 9/5) + 2 sin(18 t + 8/5) + 2 sin(19 t + 40/13) + 14/5 sin(20 t + 23/5) + 2/3 sin(21 t + 2/5) + 3/4 sin(22 t + 3/4) + 16/5 sin(23 t + 2/5) + 1823/5) θ(39 π - t) θ(t - 35 π) + (-1/3 sin(1/2 - 12 t) - 1/4 sin(2/5 - 10 t) - 1/4 sin(5/6 - 9 t) - 9/5 sin(1/2 - 4 t) - 81/16 sin(2/5 - 3 t) - 11/4 sin(12/11 - 2 t) - 444/5 sin(5/4 - t) + 2/3 sin(5 t + 10/9) + sin(6 t + 1/19) + 1/5 sin(7 t + 53/13) + 1/2 sin(8 t + 2/5) + 1/5 sin(11 t + 1/14) - 631/5) θ(35 π - t) θ(t - 31 π) + (-13/3 sin(4/3 - 7 t) - 191/6 sin(4/3 - 3 t) - 573/5 sin(9/10 - t) + 11/3 sin(9 t) + 386/5 sin(2 t + 3/5) + 77/5 sin(4 t + 14/5) + 25/3 sin(5 t + 12/5) + 17/3 sin(6 t + 5/4) + 37/9 sin(8 t + 1/2) + 26/9 sin(10 t + 7/4) + 7/2 sin(11 t + 8/3) + 17/6 sin(12 t + 11/6) - 813/5) θ(31 π - t) θ(t - 27 π) + (-2/5 sin(3/2 - 19 t) - 2/5 sin(7/8 - 17 t) - 8/5 sin(3/2 - 12 t) - 1/2 sin(1/3 - 9 t) - 20/7 sin(9/8 - 6 t) - 8/3 sin(10/9 - 4 t) + 377/5 sin(t + 14/3) + 12/5 sin(2 t + 17/4) + 17/2 sin(3 t + 14/3) + 8 sin(5 t + 21/5) + 1/2 sin(7 t + 13/5) + 41/20 sin(8 t + 11/5) + 9/10 sin(10 t + 14/3) + 1/3 sin(11 t + 7/2) + 1/3 sin(13 t + 8/3) + 1/3 sin(14 t + 5/3) + 1/4 sin(15 t + 7/3) + 1/4 sin(16 t + 19/6) + 1/4 sin(18 t + 3) + 320) θ(27 π - t) θ(t - 23 π) + (-7/4 sin(1/5 - 12 t) - 11/3 sin(1/4 - 11 t) + 175/3 sin(t + 29/14) + 36 sin(2 t + 1/3) + 173/5 sin(3 t + 7/3) + 59/5 sin(4 t + 4/3) + 42/5 sin(5 t + 1/7) + 55/4 sin(6 t + 19/18) + 21/4 sin(7 t + 15/4) + 14/3 sin(8 t + 17/5) + 2/3 sin(9 t + 14/3) + 3/4 sin(10 t + 3) + 185) θ(23 π - t) θ(t - 19 π) + (-5/2 sin(4/5 - 9 t) - 10/3 sin(3/5 - 8 t) - 13/2 sin(6/5 - 7 t) + 439/10 sin(t + 15/7) + 43/3 sin(2 t + 1/3) + 143/5 sin(3 t + 3) + 10 sin(4 t + 22/7) + 23/3 sin(5 t + 5/2) + 91/9 sin(6 t + 9/4) + 20/7 sin(10 t + 13/4) + 9/4 sin(11 t + 3/2) + 9/8 sin(12 t + 11/4) + 3005/9) θ(19 π - t) θ(t - 15 π) + (-8/5 sin(8/7 - 11 t) - 11/6 sin(8/7 - 8 t) - 46/9 sin(3/2 - 6 t) - 169/10 sin(4/3 - 4 t) - 21 sin(5/4 - 2 t) + 211/3 sin(t + 9/2) + 169/8 sin(3 t + 7/5) + 13/2 sin(5 t + 23/5) + 13/6 sin(7 t + 10/3) + 5/6 sin(9 t + 4/3) + 2/3 sin(10 t + 19/9) + 33/16 sin(12 t + 39/19) - 4441/12) θ(15 π - t) θ(t - 11 π) + (-17/4 sin(6/5 - 8 t) - 25/3 sin(2/5 - 7 t) - 13/5 sin(8/7 - 5 t) + 99 sin(t + 12/5) + 26/3 sin(2 t + 17/4) + 189/4 sin(3 t + 7/5) + 119/6 sin(4 t + 11/5) + 37/3 sin(6 t + 13/3) + 71/14 sin(9 t + 8/5) + 3 sin(10 t + 1/3) + 1/3 sin(11 t + 11/3) + 13/5 sin(12 t + 2/3) - 1193/4) θ(11 π - t) θ(t - 7 π) + (-35/9 sin(4/3 - 17 t) - 9 sin(3/2 - 13 t) - 2989/12 sin(3/5 - t) + 209/4 sin(2 t + 1/3) + 56/3 sin(3 t + 22/5) + 163/5 sin(4 t + 20/7) + 137/4 sin(5 t + 1/3) + 121/4 sin(6 t + 2/3) + 74/3 sin(7 t + 23/5) + 44/5 sin(8 t + 21/5) + 55/3 sin(9 t + 2/3) + 23/4 sin(10 t + 8/5) + 135/8 sin(11 t + 5/2) + 99/5 sin(12 t + 4) + 34/11 sin(14 t + 5/3) + 154/17 sin(15 t + 1/11) + 11/2 sin(16 t + 1/12) + 19/3 sin(18 t + 1/4) + 13/3 sin(19 t + 6/7) + 4 sin(20 t + 12/11) + 14/13 sin(21 t + 14/3) + 6/7 sin(22 t + 5/4) - 2373/4) θ(7 π - t) θ(t - 3 π) + (-10 sin(5/4 - 11 t) - 48/5 sin(1/3 - 10 t) - 62/7 sin(8/5 - 9 t) - 89/3 sin(1/4 - 3 t) - 271/2 sin(4/3 - t) + 11/3 sin(19 t) + 28/9 sin(20 t) + 216/7 sin(2 t + 2) + 181/4 sin(4 t + 7/5) + 69/2 sin(5 t + 7/3) + 197/11 sin(6 t + 11/4) + 31/3 sin(7 t + 8/5) + 28/3 sin(8 t + 1/2) + 12/5 sin(12 t + 1/2) + 2/5 sin(13 t + 3/4) + 17/4 sin(14 t + 1/10) + 34/11 sin(15 t + 9/2) + 9/5 sin(16 t + 3/4) + 7/4 sin(17 t + 2/3) + 7/2 sin(18 t + 13/3) - 1925/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-2 sin(3/2 - 20 t) - 4 sin(3/2 - 18 t) - 5 sin(3/2 - 17 t) - 3 sin(3/2 - 13 t) + 131/2 sin(t + 3/2) + 1/3 sin(2 t + 5/3) + 134/3 sin(3 t + 14/3) + 7/2 sin(4 t + 14/3) + 35/2 sin(5 t + 14/3) + 9 sin(6 t + 14/3) + sin(7 t + 3/2) + 2 sin(8 t + 3/2) + 3/2 sin(10 t + 3/2) + 8/3 sin(11 t + 14/3) + 15/2 sin(12 t + 14/3) + 3/2 sin(14 t + 3/2) + 11/2 sin(15 t + 3/2) + 2 sin(16 t + 3/2) + 19/2 sin(19 t + 3/2) + 1/2 sin(21 t + 3/2) + 7/3 sin(22 t + 3/2) - 224/3) θ(79 π - t) θ(t - 75 π) + (-1/2 sin(1 - 39 t) - 3 sin(3/2 - 38 t) - 3/2 sin(3/2 - 36 t) - sin(3/2 - 34 t) - 5 sin(3/2 - 32 t) - 5/4 sin(3/2 - 31 t) - 2 sin(3/2 - 30 t) - 1/2 sin(4/3 - 29 t) - 9/2 sin(3/2 - 27 t) - 3 sin(3/2 - 25 t) - 13/2 sin(3/2 - 24 t) - 4/3 sin(3/2 - 23 t) - 17/3 sin(3/2 - 20 t) - 5/2 sin(3/2 - 19 t) - 3 sin(3/2 - 18 t) - 17 sin(3/2 - 16 t) - 17/2 sin(3/2 - 12 t) - 79/2 sin(3/2 - 11 t) - 19/3 sin(3/2 - 5 t) + 190 sin(t + 3/2) + 31/2 sin(2 t + 14/3) + 15/2 sin(3 t + 3/2) + 49/4 sin(4 t + 3/2) + 341/5 sin(6 t + 3/2) + 191/3 sin(7 t + 3/2) + 31/5 sin(8 t + 3/2) + 4/3 sin(9 t + 5/3) + 35/2 sin(10 t + 3/2) + 39/2 sin(13 t + 3/2) + 9/2 sin(14 t + 3/2) + 9/2 sin(15 t + 3/2) + 13/2 sin(17 t + 3/2) + 14/3 sin(21 t + 3/2) + 7/3 sin(26 t + 3/2) + 1/2 sin(33 t + 6/5) + 1/5 sin(35 t + 3/2) - 23) θ(75 π - t) θ(t - 71 π) + (-1/2 sin(6/5 - 28 t) - 1/3 sin(5/4 - 25 t) - 9/2 sin(3/2 - 20 t) - 9/4 sin(3/2 - 18 t) - 22/3 sin(3/2 - 15 t) - 5/2 sin(3/2 - 13 t) - 11/2 sin(3/2 - 9 t) - 5/2 sin(3/2 - 7 t) - 19/2 sin(3/2 - 6 t) - 29/2 sin(3/2 - 4 t) + 238/3 sin(t + 14/3) + 113/2 sin(2 t + 3/2) + 64 sin(3 t + 3/2) + 59/3 sin(5 t + 3/2) + 41/4 sin(8 t + 3/2) + 41/2 sin(10 t + 3/2) + 17/3 sin(11 t + 3/2) + 53/3 sin(12 t + 3/2) + 13/2 sin(14 t + 14/3) + 38/3 sin(16 t + 3/2) + 5/2 sin(19 t + 3/2) + 8/3 sin(21 t + 3/2) + 3 sin(22 t + 3/2) + 7/2 sin(23 t + 14/3) + 2 sin(24 t + 3/2) + 3 sin(26 t + 3/2) + 3/2 sin(27 t + 3/2) - 522) θ(71 π - t) θ(t - 67 π) + (-1/3 sin(3/2 - 31 t) - 13/3 sin(3/2 - 28 t) - 7/2 sin(3/2 - 26 t) - 5 sin(3/2 - 19 t) - 9/2 sin(3/2 - 17 t) - 3/2 sin(3/2 - 15 t) - 9 sin(3/2 - 13 t) - 4 sin(3/2 - 9 t) - 9/4 sin(3/2 - 6 t) - 28/3 sin(3/2 - 4 t) - 57 sin(3/2 - t) + 299/2 sin(2 t + 3/2) + 61/3 sin(3 t + 3/2) + 8 sin(5 t + 3/2) + 24 sin(7 t + 3/2) + 27/2 sin(8 t + 3/2) + 9 sin(10 t + 3/2) + 9 sin(11 t + 3/2) + 7 sin(12 t + 3/2) + 7 sin(14 t + 3/2) + 15/2 sin(16 t + 3/2) + 5/2 sin(18 t + 3/2) + 23/2 sin(20 t + 3/2) + 6/5 sin(21 t + 3/2) + 8 sin(22 t + 14/3) + 11/2 sin(23 t + 14/3) + 4 sin(24 t + 3/2) + 5/2 sin(25 t + 3/2) + 5 sin(27 t + 3/2) + 3/2 sin(29 t + 14/3) + 5/3 sin(30 t + 3/2) - 419) θ(67 π - t) θ(t - 63 π) + (-sin(3/2 - 31 t) - 2 sin(3/2 - 30 t) - 1/4 sin(1 - 29 t) - 3/2 sin(3/2 - 28 t) - 8/3 sin(3/2 - 25 t) - 4 sin(3/2 - 24 t) - 3/2 sin(3/2 - 19 t) - 13/2 sin(3/2 - 18 t) - 5 sin(3/2 - 16 t) - 5 sin(3/2 - 15 t) - 11/2 sin(3/2 - 10 t) - 5/3 sin(3/2 - 9 t) - 32/3 sin(3/2 - 8 t) - 38/3 sin(3/2 - 7 t) - 59/3 sin(3/2 - 6 t) - 23/3 sin(3/2 - 5 t) - 88/3 sin(3/2 - 4 t) - 217/3 sin(3/2 - 2 t) - 54 sin(3/2 - t) + 99/2 sin(3 t + 3/2) + 15/2 sin(11 t + 3/2) + 1/4 sin(12 t + 8/3) + 5/2 sin(13 t + 3/2) + 9/2 sin(14 t + 3/2) + sin(17 t + 4/3) + 3 sin(20 t + 3/2) + 8/3 sin(21 t + 5/3) + 2/3 sin(22 t + 5/3) + 4/3 sin(23 t + 3/2) + 5/2 sin(26 t + 3/2) + 5/3 sin(27 t + 3/2) + 1/2 sin(32 t + 3/2) + sin(33 t + 3/2) + 1/2 sin(34 t + 5/3) + 1/5 sin(35 t + 9/2) + 1/5 sin(36 t + 2) + 701/4) θ(63 π - t) θ(t - 59 π) + (-1/2 sin(3/2 - 40 t) - 1/2 sin(3/2 - 35 t) - 1/4 sin(3/2 - 33 t) - 5/4 sin(3/2 - 32 t) - 1/3 sin(3/2 - 26 t) - 1/2 sin(3/2 - 25 t) - 2/3 sin(3/2 - 20 t) - sin(3/2 - 18 t) - 5/3 sin(3/2 - 14 t) - 11/3 sin(3/2 - 12 t) - 16/3 sin(3/2 - 10 t) - 4 sin(3/2 - 8 t) - 5/2 sin(3/2 - 2 t) - 29/3 sin(3/2 - t) + 1/2 sin(3 t + 14/3) + 1/2 sin(4 t + 14/3) + 4/3 sin(5 t + 3/2) + 3/2 sin(6 t + 14/3) + 3 sin(7 t + 3/2) + 7/2 sin(9 t + 3/2) + 1/2 sin(11 t + 3/2) + 1/2 sin(13 t + 3/2) + 26/5 sin(16 t + 3/2) + sin(19 t + 3/2) + 1/5 sin(22 t + 14/3) + 1/2 sin(27 t + 3/2) + 1/4 sin(28 t + 3/2) + 1/2 sin(29 t + 3/2) + 1/2 sin(30 t + 3/2) + 1/5 sin(36 t + 14/3) + 1/4 sin(37 t + 14/3) + 1/4 sin(38 t + 14/3) - 125) θ(59 π - t) θ(t - 55 π) + (-6 sin(3/2 - 40 t) - 23/2 sin(3/2 - 36 t) - 3 sin(3/2 - 35 t) - 26/5 sin(3/2 - 33 t) - 14/3 sin(3/2 - 26 t) - 41/2 sin(3/2 - 25 t) - 19/2 sin(3/2 - 24 t) - 21 sin(3/2 - 23 t) - 33/2 sin(3/2 - 22 t) - 2/3 sin(4/3 - 21 t) - 27/2 sin(3/2 - 12 t) - 9 sin(3/2 - 10 t) + 447/2 sin(t + 14/3) + 14 sin(2 t + 3/2) + 287/2 sin(3 t + 3/2) + 41/2 sin(4 t + 14/3) + 32 sin(5 t + 3/2) + 17/3 sin(6 t + 3/2) + 4 sin(7 t + 3/2) + 45/2 sin(8 t + 3/2) + 57/2 sin(11 t + 3/2) + 35 sin(13 t + 3/2) + 69/4 sin(14 t + 3/2) + 5 sin(15 t + 14/3) + 21/2 sin(16 t + 14/3) + 19/3 sin(17 t + 14/3) + 31/3 sin(18 t + 3/2) + 20 sin(20 t + 3/2) + 39/2 sin(27 t + 3/2) + 26/3 sin(28 t + 3/2) + 17/4 sin(29 t + 5/3) + 2 sin(30 t + 2) + 13/3 sin(31 t + 14/3) + 41/3 sin(32 t + 3/2) + 5/3 sin(34 t + 3/2) + 4 sin(37 t + 3/2) + 8 sin(38 t + 3/2) + 5/3 sin(39 t + 2) + 7/2 sin(41 t + 5/3) - 277/2) θ(55 π - t) θ(t - 51 π) + (-1/2 sin(3/2 - 31 t) - 1/3 sin(3/2 - 29 t) - sin(3/2 - 28 t) - 2/3 sin(3/2 - 27 t) - sin(3/2 - 26 t) - 2 sin(3/2 - 24 t) - 7/2 sin(3/2 - 18 t) - 5/2 sin(3/2 - 17 t) - 2 sin(3/2 - 10 t) - 3 sin(3/2 - 7 t) - 5 sin(3/2 - 5 t) - 7/2 sin(3/2 - 4 t) - 6 sin(3/2 - 3 t) - 241/3 sin(3/2 - t) + 11/2 sin(2 t + 3/2) + sin(6 t + 3/2) + 1/2 sin(8 t + 3/2) + 1/5 sin(9 t + 3/2) + 5/3 sin(11 t + 3/2) + 14/3 sin(12 t + 3/2) + 5/2 sin(13 t + 14/3) + 5 sin(14 t + 3/2) + 3/2 sin(15 t + 14/3) + 1/3 sin(16 t + 3/2) + 13/2 sin(19 t + 3/2) + 5/2 sin(20 t + 3/2) + 1/2 sin(21 t + 3/2) + 1/4 sin(22 t + 9/2) + 3/2 sin(23 t + 3/2) + 1/2 sin(25 t + 3/2) + 1/5 sin(30 t + 3/2) + 2/3 sin(33 t + 3/2) + 1/3 sin(34 t + 9/2) + 2/3 sin(35 t + 3/2) + 1/2 sin(36 t + 14/3) + sin(37 t + 3/2) + 1/2 sin(38 t + 5/3) + 2/3 sin(39 t + 3/2) + 1/3 sin(40 t + 9/2) + 1/2 sin(41 t + 3/2) - 1595/3) θ(51 π - t) θ(t - 47 π) + (-5/4 sin(3/2 - 31 t) - 1/2 sin(3/2 - 29 t) - 1/5 sin(3/2 - 22 t) - 5 sin(3/2 - 17 t) - 11/5 sin(3/2 - 16 t) - sin(3/2 - 8 t) + 106 sin(t + 3/2) + 29/2 sin(2 t + 3/2) + 13 sin(3 t + 3/2) + 1/4 sin(4 t + 3/2) + 14/3 sin(5 t + 3/2) + 5/2 sin(6 t + 3/2) + 11/3 sin(7 t + 3/2) + 3/2 sin(9 t + 3/2) + 5/4 sin(10 t + 14/3) + 11/2 sin(11 t + 3/2) + 1/4 sin(12 t + 5/3) + 3/2 sin(13 t + 3/2) + 3/2 sin(14 t + 3/2) + 1/4 sin(15 t + 3/2) + 14/3 sin(18 t + 3/2) + 1/3 sin(20 t + 3/2) + 2/3 sin(21 t + 3/2) + sin(24 t + 3/2) + 2/3 sin(26 t + 3/2) + 1/2 sin(27 t + 3/2) + 1/2 sin(30 t + 3/2) + 1/3 sin(33 t + 5/3) + sin(34 t + 3/2) + 1/5 sin(35 t + 9/2) + 1/3 sin(38 t + 3/2) + 1/3 sin(39 t + 5/3) + 1/2 sin(40 t + 3/2) + 675/2) θ(47 π - t) θ(t - 43 π) + (-10/3 sin(3/2 - 43 t) - 17/2 sin(3/2 - 41 t) - 1/2 sin(4/3 - 40 t) - 6 sin(3/2 - 39 t) - 13/2 sin(3/2 - 38 t) - 5/2 sin(3/2 - 33 t) - 11/2 sin(3/2 - 29 t) - 9/2 sin(3/2 - 27 t) - 1/3 sin(4/3 - 24 t) - 3 sin(3/2 - 19 t) - 3/2 sin(3/2 - 5 t) - 42 sin(3/2 - t) + 289/2 sin(2 t + 3/2) + 67/2 sin(3 t + 3/2) + 6 sin(4 t + 3/2) + 22 sin(6 t + 3/2) + 11/2 sin(7 t + 3/2) + 5/4 sin(8 t + 3/2) + 13/2 sin(9 t + 3/2) + 2/3 sin(10 t + 3/2) + 3/2 sin(11 t + 5/3) + 5/3 sin(12 t + 3/2) + 5/4 sin(13 t + 5/3) + 4 sin(14 t + 3/2) + 49/4 sin(15 t + 3/2) + 4 sin(16 t + 3/2) + 5 sin(17 t + 3/2) + 19/2 sin(18 t + 3/2) + 22 sin(20 t + 3/2) + sin(21 t + 5/3) + 10 sin(22 t + 3/2) + 7 sin(23 t + 3/2) + 31/3 sin(25 t + 3/2) + 8 sin(26 t + 3/2) + 11 sin(28 t + 3/2) + 9/2 sin(30 t + 3/2) + 1/5 sin(31 t + 2) + 11 sin(32 t + 3/2) + 3/2 sin(34 t + 3/2) + 1/3 sin(35 t + 4) + 8/3 sin(36 t + 3/2) + 5/4 sin(37 t + 5/3) + 2 sin(42 t + 3/2) - 2072/3) θ(43 π - t) θ(t - 39 π) + (-1/2 sin(3/2 - 42 t) - sin(3/2 - 41 t) - 1/2 sin(3/2 - 40 t) - 5/3 sin(3/2 - 37 t) - 5/2 sin(3/2 - 34 t) - 3/2 sin(3/2 - 33 t) - 4 sin(3/2 - 32 t) - sin(3/2 - 31 t) - sin(3/2 - 30 t) - 1/2 sin(3/2 - 29 t) - 1/2 sin(3/2 - 28 t) - 26/3 sin(3/2 - 25 t) - 1/2 sin(3/2 - 24 t) - 1/2 sin(3/2 - 23 t) - 33/2 sin(3/2 - 22 t) - 13/2 sin(3/2 - 16 t) - 19/3 sin(3/2 - 15 t) - 35/3 sin(3/2 - 14 t) - 6 sin(3/2 - 13 t) - 74/3 sin(3/2 - 10 t) - 13/2 sin(3/2 - 7 t) - 127/2 sin(3/2 - 2 t) - 235/2 sin(3/2 - t) + 63 sin(3 t + 3/2) + 4/3 sin(4 t + 9/2) + 140/3 sin(5 t + 3/2) + 47/3 sin(6 t + 3/2) + 5/2 sin(8 t + 14/3) + 3 sin(9 t + 3/2) + 3 sin(11 t + 3/2) + 1/3 sin(12 t + 5/3) + sin(17 t + 9/2) + 3/2 sin(18 t + 3/2) + 15/2 sin(19 t + 3/2) + 9/4 sin(20 t + 5/3) + 6 sin(21 t + 3/2) + 5/3 sin(26 t + 3/2) + 3/2 sin(27 t + 14/3) + 9/2 sin(35 t + 3/2) + 11/3 sin(36 t + 3/2) + 11/3 sin(38 t + 3/2) + sin(39 t + 14/3) + 3 sin(43 t + 3/2) + 3 sin(44 t + 3/2) + 3/2 sin(45 t + 3/2) + 349) θ(39 π - t) θ(t - 35 π) + (-2/3 sin(3/2 - 46 t) - 5/3 sin(3/2 - 45 t) - 3 sin(3/2 - 44 t) - 1/2 sin(5/4 - 43 t) - sin(3/2 - 42 t) - 9/4 sin(3/2 - 41 t) - 5/2 sin(3/2 - 39 t) - 7/2 sin(3/2 - 38 t) - sin(3/2 - 27 t) - 3/2 sin(3/2 - 25 t) - 26/3 sin(3/2 - 24 t) - 2/3 sin(4/3 - 22 t) - 26/5 sin(3/2 - 21 t) - 9 sin(3/2 - 10 t) - 3/2 sin(3/2 - 8 t) - 45/4 sin(3/2 - 6 t) - 17/2 sin(3/2 - 4 t) + 1/2 sin(12 t) + sin(t + 3/2) + 257/2 sin(2 t + 14/3) + 17 sin(3 t + 3/2) + 59/3 sin(5 t + 14/3) + 4 sin(7 t + 14/3) + 25/2 sin(9 t + 14/3) + 25/2 sin(11 t + 14/3) + 13 sin(13 t + 14/3) + 12 sin(14 t + 14/3) + 31/2 sin(15 t + 3/2) + 49/3 sin(16 t + 14/3) + 2/3 sin(17 t + 2/3) + 31/2 sin(18 t + 14/3) + 3 sin(19 t + 3/2) + 73/4 sin(20 t + 14/3) + 5 sin(23 t + 3/2) + 25/2 sin(26 t + 14/3) + 9/4 sin(28 t + 14/3) + 3/2 sin(29 t + 3/2) + 5/3 sin(30 t + 3/2) + 3 sin(31 t + 5/3) + 32/3 sin(32 t + 3/2) + 9/4 sin(33 t + 5/3) + 4/3 sin(34 t + 9/2) + 11/2 sin(35 t + 3/2) + 13/3 sin(36 t + 3/2) + sin(37 t + 9/2) + 14/3 sin(40 t + 14/3) + sin(47 t + 9/2) + 3/2 sin(48 t + 3/2) + 520) θ(35 π - t) θ(t - 31 π) + (-4 sin(3/2 - 52 t) - sin(3/2 - 50 t) - 6 sin(3/2 - 48 t) - 4 sin(3/2 - 37 t) - 5 sin(3/2 - 36 t) - 9/2 sin(3/2 - 30 t) - sin(3/2 - 29 t) - 5/2 sin(3/2 - 28 t) - 5/4 sin(3/2 - 27 t) - 2/3 sin(3/2 - 17 t) - 5 sin(3/2 - 13 t) - 10/3 sin(3/2 - 11 t) - 17/2 sin(3/2 - 9 t) - 71/2 sin(3/2 - 4 t) - 182/3 sin(3/2 - 2 t) - 51 sin(3/2 - t) + 29 sin(3 t + 3/2) + 9/2 sin(5 t + 3/2) + 34 sin(6 t + 3/2) + 9 sin(7 t + 3/2) + 29/2 sin(8 t + 3/2) + 16 sin(10 t + 3/2) + 25/2 sin(12 t + 3/2) + 3 sin(14 t + 3/2) + sin(15 t + 3/2) + 17/3 sin(16 t + 14/3) + 5/2 sin(18 t + 3/2) + 3/2 sin(19 t + 3/2) + 4/3 sin(20 t + 3/2) + 4 sin(21 t + 3/2) + 8/3 sin(22 t + 3/2) + 11/2 sin(23 t + 3/2) + 1/2 sin(24 t + 3/2) + 2 sin(25 t + 14/3) + 5/2 sin(26 t + 3/2) + 13/4 sin(31 t + 3/2) + 7 sin(32 t + 3/2) + 27/2 sin(33 t + 3/2) + 15/2 sin(34 t + 3/2) + 3/2 sin(35 t + 14/3) + sin(38 t + 3/2) + sin(39 t + 3/2) + 3 sin(40 t + 3/2) + 19/2 sin(41 t + 9/2) + 2 sin(42 t + 3/2) + 3/2 sin(43 t + 3/2) + 9 sin(44 t + 9/2) + 2/3 sin(45 t + 9/2) + 1/4 sin(47 t + 13/4) + 1/2 sin(49 t + 9/2) + 9/4 sin(51 t + 3/2) + 10/3 sin(53 t + 3/2) - 1007/3) θ(31 π - t) θ(t - 27 π) + (-11/2 sin(3/2 - 40 t) - sin(3/2 - 38 t) - sin(3/2 - 35 t) - 1/2 sin(3/2 - 20 t) - 9/2 sin(3/2 - 2 t) + 115 sin(t + 3/2) + 9 sin(3 t + 3/2) + 26/3 sin(4 t + 3/2) + 2 sin(5 t + 3/2) + 17/2 sin(6 t + 3/2) + 11 sin(7 t + 14/3) + 31/3 sin(8 t + 3/2) + 6 sin(9 t + 3/2) + 1/2 sin(10 t + 9/2) + 16/3 sin(11 t + 9/2) + 2/3 sin(12 t + 3/2) + 5/3 sin(13 t + 3/2) + 19/2 sin(14 t + 9/2) + 1/2 sin(15 t + 5/2) + 2/3 sin(16 t + 1) + 5 sin(17 t + 3/2) + 17/3 sin(18 t + 9/2) + 3/2 sin(19 t + 9/2) + 1/2 sin(21 t + 5/3) + 3 sin(22 t + 9/2) + 1/3 sin(23 t + 4) + 5/3 sin(24 t + 3/2) + 4 sin(25 t + 3/2) + 9/4 sin(26 t + 14/3) + 1/4 sin(27 t + 11/3) + sin(28 t + 9/2) + 8/3 sin(29 t + 9/2) + 5/2 sin(30 t + 9/2) + sin(32 t + 21/5) + 13/4 sin(33 t + 9/2) + 3/2 sin(34 t + 3/2) + 1/3 sin(36 t + 5/2) + 3/2 sin(37 t + 13/3) + 19/3 sin(39 t + 3/2) + 17/4 sin(41 t + 3/2) + 9/2 sin(42 t + 9/2) + 4 sin(43 t + 13/3) + 8/3 sin(44 t + 1) + 7/2 sin(45 t + 3/2) + 10 sin(46 t + 9/2) + 3/2 sin(47 t + 2) + 11/2 sin(48 t + 1) + 11/2 sin(49 t + 5/4) + 2 sin(50 t + 13/3) + 6 sin(51 t + 9/2) + 5/2 sin(52 t + 4) - 335/3) θ(27 π - t) θ(t - 23 π) + (-11/2 sin(3/2 - 51 t) - 19/2 sin(3/2 - 47 t) - 11/2 sin(3/2 - 46 t) - 2 sin(3/2 - 45 t) - 13/4 sin(3/2 - 44 t) - 9/2 sin(3/2 - 40 t) - 11/2 sin(3/2 - 31 t) - 6 sin(3/2 - 25 t) - 15/2 sin(3/2 - 15 t) - 3 sin(3/2 - 12 t) - 11/2 sin(3/2 - 11 t) - 13 sin(3/2 - 9 t) - 147/2 sin(3/2 - 2 t) + 31 sin(t + 14/3) + 32/3 sin(3 t + 3/2) + 33 sin(4 t + 3/2) + 56 sin(5 t + 3/2) + 8 sin(6 t + 9/2) + 16 sin(7 t + 3/2) + 43/2 sin(8 t + 3/2) + 8 sin(10 t + 3/2) + 4 sin(13 t + 3/2) + 17/2 sin(14 t + 3/2) + 15/2 sin(16 t + 3/2) + 21/5 sin(17 t + 9/2) + 9 sin(18 t + 3/2) + 16/5 sin(19 t + 9/2) + 4/3 sin(20 t + 2) + 3 sin(21 t + 3/2) + 1/2 sin(22 t + 3/2) + 4 sin(23 t + 14/3) + 7 sin(24 t + 3/2) + 8/3 sin(26 t + 14/3) + 11/2 sin(27 t + 3/2) + 13/2 sin(28 t + 14/3) + 27/2 sin(29 t + 3/2) + 5/2 sin(30 t + 5/3) + 6 sin(32 t + 3/2) + 9/2 sin(33 t + 5/3) + 17/3 sin(34 t + 3/2) + 31/5 sin(35 t + 5/3) + 45/4 sin(36 t + 3/2) + 7/2 sin(37 t + 14/3) + 5 sin(38 t + 3/2) + 7/3 sin(39 t + 9/2) + sin(41 t + 2) + 7 sin(42 t + 3/2) + 13/2 sin(43 t + 3/2) + 2/3 sin(48 t + 1/3) + 1/2 sin(49 t + 2/3) + 2/3 sin(50 t + 3/2) + 3 sin(52 t + 9/2) + 182) θ(23 π - t) θ(t - 19 π) + (-2 sin(1/3 - 16 t) - 8/3 sin(4/3 - 6 t) - 14 sin(1/4 - 5 t) - 71/2 sin(1 - 4 t) + 3/2 sin(12 t) + sin(14 t) + 127/3 sin(t + 10/3) + 337/3 sin(2 t + 3/2) + 47 sin(3 t + 9/2) + 4 sin(7 t + 8/3) + 13/4 sin(8 t + 9/2) + 13/2 sin(9 t + 7/3) + 7/2 sin(10 t + 5/2) + 2 sin(11 t + 3) + 5/3 sin(13 t + 3/2) + 1/2 sin(15 t + 7/2) + 1/2 sin(17 t + 3) - 919/2) θ(19 π - t) θ(t - 15 π) + (-67/2 sin(3/2 - 2 t) + 49/2 sin(3 t) + 8 sin(7 t) + 11/2 sin(9 t) + 14/3 sin(13 t) + 7/2 sin(15 t) + 11/3 sin(17 t) + 47 sin(t + 9/2) + 74/3 sin(4 t + 3) + 23/2 sin(5 t + 1/3) + 19/2 sin(6 t + 3) + 8 sin(8 t + 7/2) + 6 sin(10 t + 3) + 16/3 sin(11 t + 1/5) + 4 sin(12 t + 3) + 4 sin(14 t + 3) + 7/2 sin(16 t + 3) + 5/2 sin(18 t + 3) - 605/3) θ(15 π - t) θ(t - 11 π) + (-4 sin(1/3 - 11 t) - 16/3 sin(1/2 - 7 t) - 35 sin(1/4 - 3 t) - 96/5 sin(1/2 - t) + 38/3 sin(5 t) + 11/2 sin(9 t) + 5/2 sin(13 t) + 7/2 sin(15 t) + 2 sin(17 t) + 5/3 sin(19 t) + 181/3 sin(2 t + 7/2) + 3 sin(4 t + 2) + 29/4 sin(6 t + 3) + 11/3 sin(8 t + 3) + 2 sin(10 t + 7/2) + 16/5 sin(12 t + 7/2) + 2 sin(14 t + 3) + 3/2 sin(16 t + 10/3) + 7/3 sin(18 t + 10/3) + 59/3) θ(11 π - t) θ(t - 7 π) + (-5/2 sin(1 - 11 t) - 4 sin(3/2 - 7 t) - 37/2 sin(1 - 5 t) + 7/2 sin(10 t) + 1/2 sin(18 t) + 56 sin(t + 3/2) + 213/2 sin(2 t + 5/3) + 46 sin(3 t + 11/3) + 32 sin(4 t + 1) + 5 sin(6 t + 9/2) + 3 sin(8 t + 2) + 7/2 sin(9 t + 3) + 2/3 sin(12 t + 2) + 9/4 sin(13 t + 9/2) + 1/2 sin(14 t + 9/4) + 3/2 sin(15 t + 5/4) + 1/2 sin(16 t + 3/2) + 2/3 sin(17 t + 13/3) + 2/3 sin(19 t + 4) + 551/2) θ(7 π - t) θ(t - 3 π) + (-3 sin(3/2 - 16 t) - 21/4 sin(1/2 - 7 t) - 35/2 sin(1/2 - 2 t) + 2453/3 sin(t + 4) + 21/4 sin(3 t + 11/3) + 10 sin(4 t + 7/2) + 9/2 sin(5 t + 3/2) + 4 sin(6 t + 4/3) + 6 sin(8 t + 11/3) + 5 sin(9 t + 2) + 3/2 sin(10 t + 1) + 13/2 sin(11 t + 1/3) + 13/2 sin(12 t + 4) + 3 sin(13 t + 9/4) + 3 sin(14 t + 5/3) + 3 sin(15 t + 1/2) + 10/3 sin(17 t + 8/3) - 243/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-11/3 sin(3/2 - 21 t) - 3/2 sin(3/2 - 19 t) - 1/2 sin(3/2 - 6 t) + 57/2 sin(t + 3/2) + 70 sin(2 t + 3/2) + 14/3 sin(3 t + 3/2) + 16 sin(4 t + 3/2) + 12 sin(5 t + 3/2) + 29/3 sin(7 t + 14/3) + 2 sin(8 t + 14/3) + 5/3 sin(9 t + 14/3) + sin(10 t + 14/3) + 5/2 sin(11 t + 3/2) + 1/2 sin(12 t + 5/3) + 17/3 sin(13 t + 14/3) + 15/2 sin(14 t + 14/3) + 5/2 sin(15 t + 14/3) + 5/2 sin(16 t + 3/2) + 2 sin(17 t + 3/2) + 6 sin(18 t + 14/3) + 11/2 sin(20 t + 3/2) - 475/2) θ(79 π - t) θ(t - 75 π) + (-5/3 sin(3/2 - 39 t) - 1/2 sin(4/3 - 34 t) - 9/4 sin(3/2 - 33 t) - 13/2 sin(3/2 - 32 t) - 5/4 sin(3/2 - 31 t) - 7/2 sin(3/2 - 29 t) - 7/3 sin(3/2 - 28 t) - 1/2 sin(1 - 26 t) - 5 sin(3/2 - 25 t) - 2 sin(3/2 - 23 t) - 9/2 sin(3/2 - 21 t) - 7/3 sin(3/2 - 20 t) - 8 sin(3/2 - 19 t) - 13/2 sin(3/2 - 18 t) - 5/2 sin(3/2 - 17 t) - 3/2 sin(3/2 - 16 t) - 5 sin(3/2 - 15 t) - 13/2 sin(3/2 - 12 t) - 82/3 sin(3/2 - 9 t) - 109/2 sin(3/2 - 7 t) - 33/2 sin(3/2 - 6 t) - 137/3 sin(3/2 - 5 t) - 233/3 sin(3/2 - 2 t) - 313/4 sin(3/2 - t) + 421/5 sin(3 t + 3/2) + 95/3 sin(4 t + 3/2) + 29 sin(8 t + 3/2) + 25 sin(10 t + 3/2) + 17/4 sin(11 t + 14/3) + 41/2 sin(13 t + 3/2) + 39/2 sin(14 t + 3/2) + 5/3 sin(22 t + 3/2) + 1/2 sin(24 t + 3/2) + 9/2 sin(27 t + 3/2) + 5/4 sin(30 t + 3/2) + 1/3 sin(35 t + 9/2) + 3/2 sin(36 t + 3/2) + 4/3 sin(37 t + 14/3) + 5/3 sin(38 t + 3/2) - 59) θ(75 π - t) θ(t - 71 π) + (-2/3 sin(3/2 - 28 t) - 2/3 sin(3/2 - 22 t) - 21/2 sin(3/2 - 10 t) - 24 sin(3/2 - 6 t) + 115/2 sin(t + 14/3) + 238/3 sin(2 t + 14/3) + 63/2 sin(3 t + 3/2) + 15/2 sin(4 t + 3/2) + 29/2 sin(5 t + 3/2) + 3 sin(7 t + 9/2) + 33/2 sin(8 t + 14/3) + sin(9 t + 9/2) + 5/3 sin(11 t + 5/3) + 46/3 sin(12 t + 14/3) + 34/3 sin(13 t + 14/3) + 19/2 sin(14 t + 14/3) + 26/3 sin(15 t + 3/2) + 5 sin(16 t + 3/2) + 5 sin(17 t + 14/3) + 23/2 sin(18 t + 3/2) + 10 sin(19 t + 3/2) + 11/3 sin(20 t + 14/3) + 7/2 sin(21 t + 14/3) + sin(23 t + 14/3) + 1/2 sin(25 t + 3/2) + 3 sin(26 t + 14/3) + 447/2) θ(71 π - t) θ(t - 67 π) + (-1/4 sin(3/2 - 30 t) - 7/2 sin(3/2 - 28 t) - 1/2 sin(3/2 - 16 t) - 41/3 sin(3/2 - 4 t) - 71/2 sin(3/2 - 2 t) + 229/3 sin(t + 14/3) + 49 sin(3 t + 3/2) + 76/3 sin(5 t + 3/2) + 40/3 sin(6 t + 3/2) + 11/2 sin(7 t + 3/2) + 10 sin(8 t + 14/3) + 3 sin(9 t + 14/3) + 13 sin(10 t + 14/3) + 8 sin(11 t + 14/3) + 17 sin(12 t + 14/3) + 15/2 sin(13 t + 14/3) + 7 sin(14 t + 14/3) + 13/2 sin(15 t + 14/3) + 28/3 sin(17 t + 3/2) + 1/2 sin(18 t + 3/2) + 3/2 sin(19 t + 3/2) + 3/2 sin(20 t + 3/2) + 5 sin(21 t + 14/3) + 4 sin(22 t + 14/3) + 9/2 sin(23 t + 14/3) + 1/2 sin(24 t + 3/2) + 11/2 sin(25 t + 3/2) + 5/2 sin(26 t + 3/2) + sin(27 t + 14/3) + 1/2 sin(29 t + 3/2) + sin(31 t + 3/2) + 1232/3) θ(67 π - t) θ(t - 63 π) + (-3/2 sin(3/2 - 36 t) - 4/3 sin(3/2 - 34 t) - 1/2 sin(3/2 - 33 t) - 1/3 sin(3/2 - 30 t) - 5/3 sin(3/2 - 29 t) - sin(3/2 - 27 t) - 4 sin(3/2 - 26 t) - 5 sin(3/2 - 22 t) - 1/4 sin(5/4 - 21 t) - 2 sin(3/2 - 19 t) - 5/2 sin(3/2 - 18 t) - 11/5 sin(3/2 - 17 t) - 1/3 sin(3/2 - 15 t) - 5/3 sin(3/2 - 14 t) - 1/2 sin(3/2 - 13 t) - 7/2 sin(3/2 - 10 t) - 8/3 sin(3/2 - 9 t) - 25/2 sin(3/2 - 8 t) - 17/2 sin(3/2 - 6 t) - 3/2 sin(3/2 - 5 t) - 21/2 sin(3/2 - 4 t) - 53/3 sin(3/2 - 3 t) - 286/3 sin(3/2 - 2 t) + 14 sin(t + 3/2) + 16/5 sin(7 t + 3/2) + 13/2 sin(11 t + 3/2) + sin(12 t + 9/2) + 3 sin(20 t + 3/2) + 5/2 sin(23 t + 3/2) + 5/3 sin(24 t + 3/2) + 2/3 sin(25 t + 3/2) + 2 sin(28 t + 3/2) + 1/2 sin(32 t + 3/2) + 2 sin(35 t + 3/2) + 1363/3) θ(63 π - t) θ(t - 59 π) + (-1/2 sin(3/2 - 33 t) - 1/2 sin(3/2 - 27 t) - 15/2 sin(3/2 - 15 t) - 1/4 sin(3/2 - 14 t) - 8/3 sin(3/2 - 13 t) - 11/5 sin(3/2 - 8 t) + 185/2 sin(t + 3/2) + 14/3 sin(2 t + 3/2) + 31/5 sin(3 t + 3/2) + 2/3 sin(4 t + 3/2) + sin(5 t + 3/2) + 4 sin(6 t + 3/2) + 4 sin(7 t + 3/2) + 2 sin(9 t + 3/2) + 2 sin(10 t + 3/2) + 1/3 sin(11 t + 9/2) + 2/3 sin(12 t + 3/2) + 1/2 sin(16 t + 3/2) + 3 sin(17 t + 3/2) + sin(20 t + 3/2) + 1/2 sin(21 t + 3/2) + 2/3 sin(24 t + 3/2) + 1/2 sin(25 t + 3/2) + 1/5 sin(28 t + 3/2) + 1/3 sin(29 t + 3/2) + sin(30 t + 3/2) + 3/2 sin(31 t + 3/2) + 1/2 sin(32 t + 3/2) + 2/3 sin(34 t + 3/2) + 1/2 sin(35 t + 3/2) + 1/3 sin(37 t + 3/2) + 1/3 sin(39 t + 3/2) + 1/3 sin(40 t + 3/2) + 1295/3) θ(59 π - t) θ(t - 55 π) + (-7/3 sin(3/2 - 39 t) - 3 sin(3/2 - 37 t) - 11/5 sin(3/2 - 35 t) - 1/2 sin(3/2 - 34 t) - 17/2 sin(3/2 - 33 t) - 5 sin(3/2 - 28 t) - 2 sin(3/2 - 26 t) - 2 sin(3/2 - 25 t) - 25/2 sin(3/2 - 24 t) - 5/2 sin(3/2 - 23 t) - 74/3 sin(3/2 - 22 t) - 2 sin(3/2 - 21 t) - 23/2 sin(3/2 - 20 t) - 8/3 sin(3/2 - 19 t) - 53/2 sin(3/2 - 18 t) - 19/2 sin(3/2 - 16 t) - 10 sin(3/2 - 14 t) - 11/2 sin(3/2 - 13 t) - 5/2 sin(3/2 - 12 t) - 21/4 sin(3/2 - 10 t) - 23/2 sin(3/2 - 8 t) - 49/2 sin(3/2 - 6 t) - 15/2 sin(3/2 - 4 t) - 1/3 sin(1 - 3 t) - 253/2 sin(3/2 - 2 t) - 29/2 sin(3/2 - t) + 3/2 sin(5 t + 3/2) + 9 sin(7 t + 3/2) + 3/2 sin(9 t + 14/3) + 6 sin(11 t + 3/2) + 1/2 sin(15 t + 3/2) + 4 sin(17 t + 3/2) + 11/2 sin(27 t + 3/2) + 5/3 sin(29 t + 14/3) + 11/5 sin(30 t + 14/3) + 21/2 sin(31 t + 3/2) + 2 sin(32 t + 3/2) + 2 sin(36 t + 3/2) + 10/3 sin(38 t + 3/2) + 5/3 sin(40 t + 3/2) + 9/2 sin(41 t + 3/2) + 611) θ(55 π - t) θ(t - 51 π) + (-1/3 sin(3/2 - 44 t) - 1/4 sin(3/2 - 37 t) - 1/2 sin(3/2 - 36 t) - 1/3 sin(4/3 - 35 t) - 2/3 sin(3/2 - 34 t) - 1/3 sin(3/2 - 33 t) - 2/3 sin(3/2 - 32 t) - 2/3 sin(3/2 - 31 t) - sin(3/2 - 30 t) - 3/2 sin(3/2 - 29 t) - sin(3/2 - 28 t) - 2/3 sin(3/2 - 27 t) - 1/4 sin(3/2 - 26 t) - 1/2 sin(3/2 - 25 t) - 4/3 sin(3/2 - 19 t) - 19/2 sin(3/2 - 18 t) - 8/3 sin(3/2 - 13 t) - 3 sin(3/2 - 8 t) - 9/4 sin(3/2 - 7 t) - 3 sin(3/2 - 5 t) - 5/3 sin(3/2 - 4 t) - 4 sin(3/2 - 3 t) + 16/5 sin(t + 3/2) + 14/3 sin(2 t + 3/2) + 2/3 sin(10 t + 3/2) + 2 sin(11 t + 14/3) + 3/2 sin(12 t + 3/2) + 3/2 sin(14 t + 3/2) + 7/2 sin(15 t + 3/2) + 1/4 sin(16 t + 9/2) + 5/3 sin(17 t + 3/2) + 8/3 sin(20 t + 3/2) + 5/3 sin(21 t + 3/2) + 1/2 sin(22 t + 14/3) + 2 sin(23 t + 3/2) + 1/2 sin(24 t + 3/2) + 1/2 sin(38 t + 3/2) + 1/2 sin(39 t + 3/2) + 1/3 sin(42 t + 3/2) - 175/2) θ(51 π - t) θ(t - 47 π) + (-1/2 sin(3/2 - 36 t) - sin(3/2 - 33 t) - 1/2 sin(3/2 - 32 t) - 1/2 sin(3/2 - 31 t) - 1/4 sin(3/2 - 25 t) - sin(3/2 - 23 t) - 1/2 sin(3/2 - 22 t) - 1/2 sin(3/2 - 21 t) - 11/5 sin(3/2 - 20 t) - 9/4 sin(3/2 - 18 t) - 13/2 sin(3/2 - 17 t) - 5/4 sin(3/2 - 13 t) - 4/3 sin(3/2 - 10 t) - sin(3/2 - 9 t) - 11 sin(3/2 - t) + 23/3 sin(2 t + 3/2) + 4 sin(3 t + 3/2) + 8/3 sin(4 t + 3/2) + sin(5 t + 3/2) + 3 sin(6 t + 3/2) + 3/2 sin(7 t + 3/2) + 2 sin(12 t + 3/2) + 2 sin(14 t + 3/2) + 1/2 sin(15 t + 5/3) + 3 sin(16 t + 3/2) + 2/3 sin(19 t + 3/2) + 1/2 sin(26 t + 3/2) + 1/2 sin(27 t + 3/2) + 2/3 sin(28 t + 3/2) + 1/4 sin(29 t + 9/2) + 2/3 sin(30 t + 3/2) + 1/2 sin(35 t + 3/2) + 1/2 sin(40 t + 3/2) + 1/2 sin(41 t + 3/2) + 1/2 sin(43 t + 3/2) - 74) θ(47 π - t) θ(t - 43 π) + (-13/2 sin(3/2 - 38 t) - 17/3 sin(3/2 - 37 t) - 9/4 sin(3/2 - 36 t) - 5/3 sin(3/2 - 35 t) - 3/2 sin(4/3 - 33 t) - 4 sin(3/2 - 32 t) - 10 sin(3/2 - 29 t) - 26/3 sin(3/2 - 26 t) - 11/3 sin(3/2 - 23 t) - 43/2 sin(3/2 - 22 t) - 65/3 sin(3/2 - 21 t) - 56/3 sin(3/2 - 19 t) - 13/2 sin(3/2 - 14 t) - 2/3 sin(1 - 11 t) - 104/3 sin(3/2 - 10 t) - 89/3 sin(3/2 - 7 t) - 13/2 sin(3/2 - 6 t) - 98 sin(3/2 - 2 t) - 345/2 sin(3/2 - t) + 308/3 sin(3 t + 3/2) + 38 sin(4 t + 3/2) + 97/4 sin(5 t + 3/2) + 24 sin(8 t + 3/2) + 105/2 sin(9 t + 3/2) + 69/4 sin(12 t + 3/2) + 27/2 sin(13 t + 3/2) + 5/2 sin(15 t + 3/2) + sin(16 t + 2) + 50/3 sin(17 t + 3/2) + 17/2 sin(18 t + 3/2) + 8/3 sin(20 t + 3/2) + 21/2 sin(24 t + 5/3) + 39/2 sin(25 t + 3/2) + 2 sin(27 t + 5/3) + 3 sin(28 t + 3/2) + 15/2 sin(30 t + 3/2) + 8 sin(31 t + 5/3) + 5/2 sin(34 t + 5/3) + 17/3 sin(39 t + 5/3) + 2 sin(40 t + 5/3) + 13/2 sin(41 t + 3/2) + 6 sin(42 t + 5/3) + 41/5 sin(43 t + 5/3) - 27) θ(43 π - t) θ(t - 39 π) + (-5/2 sin(3/2 - 44 t) - 2 sin(3/2 - 42 t) - 11/2 sin(3/2 - 35 t) - 5/3 sin(3/2 - 34 t) - 19/2 sin(3/2 - 31 t) - 1/4 sin(1 - 30 t) - 38/3 sin(3/2 - 26 t) - 11/3 sin(3/2 - 25 t) - 29/3 sin(3/2 - 24 t) - 8 sin(3/2 - 22 t) - 10 sin(3/2 - 21 t) - 17/2 sin(3/2 - 20 t) - 11/2 sin(3/2 - 18 t) - 15/2 sin(3/2 - 15 t) - 19 sin(3/2 - 14 t) - 2 sin(3/2 - 11 t) - 29/2 sin(3/2 - 10 t) - 33/2 sin(3/2 - 9 t) - 20 sin(3/2 - 7 t) - 7/2 sin(3/2 - 6 t) - 55/3 sin(3/2 - 3 t) - 193/2 sin(3/2 - 2 t) + 30 sin(t + 3/2) + 10 sin(4 t + 14/3) + 61/4 sin(5 t + 3/2) + 21/2 sin(8 t + 3/2) + 37/4 sin(12 t + 14/3) + 5/2 sin(13 t + 3/2) + 31/2 sin(16 t + 3/2) + 20/3 sin(17 t + 3/2) + 31/3 sin(19 t + 3/2) + 11/2 sin(23 t + 3/2) + 13/2 sin(27 t + 3/2) + 1/2 sin(28 t + 2) + 16/3 sin(29 t + 3/2) + 8 sin(32 t + 3/2) + 14/3 sin(33 t + 3/2) + 5/3 sin(36 t + 3/2) + 1/2 sin(37 t + 9/2) + sin(38 t + 3/2) + sin(39 t + 3/2) + 2 sin(40 t + 3/2) + 3 sin(41 t + 3/2) + sin(43 t + 3/2) + 1/2 sin(45 t + 3/2) + 305) θ(39 π - t) θ(t - 35 π) + (-1/2 sin(1 - 43 t) - 1/3 sin(4/3 - 36 t) - 5/2 sin(3/2 - 32 t) - 33/4 sin(3/2 - 25 t) - 14/3 sin(3/2 - 10 t) - 23 sin(3/2 - 9 t) - 3/2 sin(3/2 - 4 t) + 135 sin(t + 3/2) + 79 sin(2 t + 14/3) + 189/2 sin(3 t + 14/3) + 15 sin(5 t + 14/3) + 13/2 sin(6 t + 3/2) + 38/3 sin(7 t + 3/2) + 3/2 sin(8 t + 3/2) + 9/2 sin(11 t + 3/2) + 25 sin(12 t + 3/2) + 33/2 sin(13 t + 9/2) + 27/2 sin(14 t + 3/2) + 3 sin(15 t + 14/3) + 25 sin(16 t + 14/3) + 21 sin(17 t + 3/2) + sin(18 t + 2) + 29/3 sin(19 t + 3/2) + 2 sin(20 t + 4/3) + 33/2 sin(21 t + 14/3) + 3 sin(22 t + 3/2) + 25/4 sin(23 t + 3/2) + 10 sin(24 t + 9/2) + 5/2 sin(26 t + 3/2) + 17 sin(27 t + 3/2) + 37/4 sin(28 t + 3/2) + 11/3 sin(29 t + 3/2) + 5 sin(30 t + 9/2) + 2/3 sin(31 t + 3/2) + 25/3 sin(33 t + 14/3) + 5/4 sin(34 t + 3/2) + 5/3 sin(37 t + 14/3) + 11/3 sin(38 t + 3/2) + 17/4 sin(39 t + 9/2) + 3/2 sin(40 t + 3/2) + 3 sin(41 t + 3/2) + 1/2 sin(42 t + 4) + 2 sin(44 t + 14/3) + sin(45 t + 9/2) + 7/2 sin(46 t + 3/2) + sin(47 t + 3/2) + 3/2 sin(48 t + 9/2) - 49/3) θ(35 π - t) θ(t - 31 π) + (-3/2 sin(3/2 - 53 t) - 4/3 sin(3/2 - 48 t) - 7/2 sin(3/2 - 36 t) - 5/2 sin(3/2 - 25 t) - 7/3 sin(3/2 - 18 t) - 6 sin(3/2 - 16 t) - 7/2 sin(3/2 - 12 t) - 21 sin(3/2 - 4 t) + 189/2 sin(t + 3/2) + 28/3 sin(2 t + 14/3) + 10 sin(3 t + 3/2) + 1/3 sin(5 t + 4) + 44 sin(6 t + 3/2) + 37/2 sin(7 t + 3/2) + 9 sin(8 t + 14/3) + 5/2 sin(9 t + 3/2) + 11/2 sin(10 t + 3/2) + 23/2 sin(11 t + 14/3) + 7 sin(13 t + 3/2) + 22/3 sin(14 t + 14/3) + 8 sin(15 t + 3/2) + 3/2 sin(17 t + 3/2) + 5/2 sin(19 t + 9/2) + 2 sin(20 t + 3/2) + 5/2 sin(21 t + 3/2) + 5/2 sin(22 t + 3/2) + 11/2 sin(24 t + 14/3) + 1/2 sin(26 t + 3/2) + 2/3 sin(27 t + 3/2) + 14/3 sin(28 t + 3/2) + sin(29 t + 3/2) + 2/3 sin(30 t + 3/2) + 53/4 sin(31 t + 3/2) + 37/4 sin(32 t + 3/2) + 4/3 sin(33 t + 3/2) + 12 sin(34 t + 14/3) + 29/3 sin(35 t + 14/3) + 3/2 sin(37 t + 9/2) + 1/4 sin(38 t + 7/2) + 1/2 sin(39 t + 3/2) + 17/2 sin(40 t + 14/3) + 5/2 sin(41 t + 9/2) + 20/3 sin(42 t + 3/2) + 5 sin(43 t + 9/2) + 17/3 sin(44 t + 14/3) + 23/2 sin(45 t + 3/2) + 3 sin(46 t + 9/2) + 7/3 sin(47 t + 3/2) + 7/2 sin(49 t + 3/2) + 4 sin(50 t + 3/2) + 4/3 sin(51 t + 14/3) + 4/3 sin(52 t + 3/2) - 105/2) θ(31 π - t) θ(t - 27 π) + (-16/3 sin(3/2 - 41 t) - 11/3 sin(3/2 - 37 t) - 5/3 sin(5/4 - 35 t) - 3/2 sin(3/2 - 27 t) - 3 sin(3/2 - 20 t) - 8/3 sin(3/2 - 16 t) + 41/3 sin(t + 3/2) + 9 sin(2 t + 3/2) + 16/5 sin(3 t + 9/2) + 161/2 sin(4 t + 14/3) + 18 sin(5 t + 3/2) + 71/2 sin(6 t + 3/2) + 38/3 sin(7 t + 3/2) + 47/3 sin(8 t + 3/2) + 31/2 sin(9 t + 3/2) + 6 sin(10 t + 3/2) + 21/2 sin(11 t + 3/2) + 5/2 sin(12 t + 3/2) + 20/3 sin(13 t + 3/2) + 20/3 sin(14 t + 3/2) + 10/3 sin(15 t + 3/2) + 5 sin(17 t + 3/2) + 13/2 sin(18 t + 14/3) + 5 sin(19 t + 3/2) + 5/3 sin(21 t + 3/2) + sin(22 t + 3/2) + 1/3 sin(23 t + 1/2) + 1/2 sin(24 t + 9/2) + 1/2 sin(25 t + 5/4) + 9/4 sin(26 t + 3/2) + 11/2 sin(28 t + 3/2) + 1/3 sin(29 t + 5/4) + 5/2 sin(30 t + 9/2) + 10/3 sin(31 t + 3/2) + 2/3 sin(32 t + 1) + 7/2 sin(33 t + 9/2) + 2/3 sin(34 t + 7/2) + 13/2 sin(36 t + 3/2) + sin(38 t + 13/4) + sin(39 t + 1/2) + 13/2 sin(40 t + 3/2) + 26/3 sin(42 t + 3/2) + 11/2 sin(43 t + 9/2) + 14/3 sin(44 t + 9/2) + 10 sin(45 t + 3/2) + 6 sin(46 t + 9/2) + 7 sin(47 t + 13/3) + 4 sin(48 t + 9/2) + 21/4 sin(49 t + 4/3) + 15/2 sin(50 t + 6/5) + sin(51 t + 2/3) + 3/2 sin(52 t + 5/3) + 220) θ(27 π - t) θ(t - 23 π) + (-2/3 sin(3/2 - 52 t) - 7/2 sin(3/2 - 51 t) - 5/2 sin(4/3 - 50 t) - sin(5/4 - 49 t) - 10 sin(3/2 - 47 t) - 21/4 sin(3/2 - 40 t) - 13/3 sin(3/2 - 38 t) - 3 sin(3/2 - 32 t) - 44/3 sin(3/2 - 29 t) - 2 sin(3/2 - 28 t) - 1/2 sin(1 - 27 t) - 7/2 sin(3/2 - 26 t) - 14/3 sin(3/2 - 24 t) - 17/3 sin(3/2 - 23 t) - 5 sin(3/2 - 17 t) - 15/2 sin(3/2 - 16 t) - 5 sin(3/2 - 14 t) - 3/2 sin(3/2 - 13 t) - 37/2 sin(3/2 - 12 t) - 12 sin(3/2 - 4 t) - 67/3 sin(3/2 - 3 t) - 121/2 sin(3/2 - 2 t) + 79 sin(t + 3/2) + 8 sin(5 t + 14/3) + 91/3 sin(6 t + 3/2) + 33/2 sin(7 t + 3/2) + 25/3 sin(8 t + 14/3) + 21/2 sin(9 t + 3/2) + 1/2 sin(10 t + 14/3) + 7/2 sin(11 t + 3/2) + 14/3 sin(15 t + 3/2) + 5/2 sin(18 t + 3/2) + 1/2 sin(19 t + 2) + 1/2 sin(20 t + 3/2) + 4/3 sin(21 t + 5/3) + 1/4 sin(22 t + 5/3) + 1/2 sin(25 t + 2/3) + 3 sin(30 t + 3/2) + 1/2 sin(31 t + 1/2) + 4/3 sin(33 t + 2) + 3/2 sin(34 t + 9/2) + sin(35 t + 5/3) + 26/3 sin(36 t + 3/2) + 11/3 sin(37 t + 3/2) + 2 sin(39 t + 3/2) + 3 sin(41 t + 3/2) + 13/4 sin(42 t + 9/2) + 5/2 sin(43 t + 5/3) + 7/2 sin(44 t + 5/3) + 38/3 sin(45 t + 3/2) + 5/2 sin(46 t + 5/3) + 2 sin(48 t + 3/2) - 29/2) θ(23 π - t) θ(t - 19 π) + (-11/3 sin(3/2 - 12 t) - 2 sin(3/2 - 10 t) + 821/4 sin(t + 4) + 95 sin(2 t + 7/2) + 186/5 sin(3 t + 2) + 31 sin(4 t + 9/2) + 58/3 sin(5 t + 5/4) + 5/3 sin(6 t + 3/2) + 33/4 sin(7 t + 5/3) + 11/2 sin(8 t + 9/2) + 9/2 sin(9 t + 1/2) + 1/2 sin(11 t + 2) + sin(13 t + 2/3) + 3/2 sin(14 t + 5/2) + 2 sin(15 t + 5/2) + 3/2 sin(16 t + 4) + 3/2 sin(17 t + 1) - 1069/2) θ(19 π - t) θ(t - 15 π) + (-11/2 sin(1/3 - 5 t) - 51/5 sin(1 - 4 t) + 1/2 sin(15 t) + 217/2 sin(t + 11/3) + 115/3 sin(2 t + 5/2) + 41/3 sin(3 t + 3) + 3 sin(6 t + 2) + 3 sin(7 t + 4) + 4/3 sin(8 t + 1) + 3/2 sin(9 t + 1/2) + 5/4 sin(10 t + 5/2) + 2/3 sin(11 t + 4) + 2/3 sin(12 t + 4) + 1/2 sin(13 t + 5/4) + 1/2 sin(18 t + 5/2) - 1065/2) θ(15 π - t) θ(t - 11 π) + (-8/3 sin(1/4 - 17 t) - 4 sin(1/2 - 11 t) - 32/3 sin(2/3 - 5 t) + 25/3 sin(7 t) + 5 sin(9 t) + 8/3 sin(13 t) + 5/2 sin(15 t) + 2 sin(19 t) + 405/4 sin(t + 7/2) + 71/2 sin(2 t + 5/2) + 43/2 sin(3 t + 2/3) + 11 sin(4 t + 16/5) + 25/3 sin(6 t + 11/3) + 9/2 sin(8 t + 5/2) + 9/2 sin(10 t + 13/4) + 8/3 sin(12 t + 3) + 3 sin(14 t + 16/5) + 5/2 sin(16 t + 7/2) + 5/3 sin(18 t + 3) - 516) θ(11 π - t) θ(t - 7 π) + (-2/3 sin(5/4 - 19 t) - 3 sin(1 - 12 t) - sin(1 - 11 t) - 11/3 sin(1 - 8 t) - 121/5 sin(1 - 4 t) + 220 sin(t + 4) + 93 sin(2 t + 8/3) + 34 sin(3 t + 3) + 35/2 sin(5 t + 1/2) + 5/2 sin(6 t + 4) + 11/2 sin(7 t + 3) + 11/2 sin(9 t + 3/2) + 3/2 sin(10 t + 5/2) + 3/2 sin(13 t + 5/4) + 3/2 sin(14 t + 7/2) + sin(15 t + 3/2) + sin(17 t + 1) + sin(18 t + 4) - 1564/3) θ(7 π - t) θ(t - 3 π) + (-7/2 sin(1/2 - 16 t) - 9/2 sin(3/2 - 14 t) - 7/2 sin(1 - 12 t) - 12 sin(1 - 8 t) - 20 sin(1/2 - 5 t) - 36/5 sin(2/3 - 4 t) + 668 sin(t + 5/2) + 193/2 sin(2 t + 7/2) + 111/2 sin(3 t + 1) + 86/3 sin(6 t + 11/3) + 22 sin(7 t + 3/2) + sin(9 t + 4/3) + 14/3 sin(10 t + 9/2) + 25/3 sin(11 t + 2) + 3/2 sin(13 t + 3) + 3/2 sin(15 t + 11/5) + sin(17 t + 3/2) + 267/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-3/4 sin(7/5 - 19 t) - 3/4 sin(3/2 - 18 t) - 9/5 sin(3/2 - 14 t) - 1/6 sin(4/3 - 13 t) - 27/7 sin(3/2 - 10 t) - 1/2 sin(4/3 - 9 t) - 67/2 sin(8/5 - 4 t) + 146/3 sin(t + 8/5) + 1/3 sin(2 t + 29/14) + 3/5 sin(3 t + 5/4) + 24/5 sin(5 t + 3/2) + 29/14 sin(6 t + 14/3) + 79/6 sin(7 t + 8/5) + 5/4 sin(8 t + 7/4) + 5/3 sin(11 t + 8/5) + 1/3 sin(12 t + 14/3) + 1/6 sin(15 t + 4/3) + 1/8 sin(16 t + 15/8) + 5/3 sin(17 t + 5/3) + 1539/7) θ(159 π - t) θ(t - 155 π) + (-40/13 sin(3/2 - 10 t) - 25/3 sin(3/2 - 6 t) - 74 sin(8/5 - 2 t) + 44 sin(t + 8/5) + 1/9 sin(3 t + 33/8) + 199/4 sin(4 t + 8/5) + 9 sin(5 t + 14/3) + 24/5 sin(7 t + 8/5) + 21/4 sin(8 t + 5/3) + 1/9 sin(9 t + 6/5) + 11/6 sin(11 t + 14/3) + 18/5 sin(12 t + 5/3) + 53) θ(155 π - t) θ(t - 151 π) + (-21/4 sin(8/5 - 10 t) - 3/2 sin(3/2 - 7 t) - 133/4 sin(8/5 - 4 t) + 446/5 sin(t + 8/5) + 239/14 sin(2 t + 8/5) + 7/5 sin(3 t + 3/2) + 127/5 sin(5 t + 8/5) + 20/3 sin(6 t + 14/3) + 3/4 sin(8 t + 5/3) + 5/2 sin(9 t + 8/5) + 5/3 sin(11 t + 8/5) + 12/5 sin(12 t + 8/5) + 1739/4) θ(151 π - t) θ(t - 147 π) + (-29/7 sin(8/5 - 12 t) - 65/4 sin(8/5 - 10 t) - 41/3 sin(8/5 - 7 t) - 217/4 sin(8/5 - 6 t) - 299/5 sin(8/5 - 5 t) - 81/5 sin(8/5 - 4 t) - 48 sin(8/5 - t) + 21/2 sin(2 t + 8/5) + 27 sin(3 t + 8/5) + 16 sin(8 t + 8/5) + 41/8 sin(9 t + 5/3) + 37/4 sin(11 t + 8/5) - 1165/3) θ(147 π - t) θ(t - 143 π) + (-7/2 sin(8/5 - 11 t) - 8/3 sin(3/2 - 10 t) - 11 sin(8/5 - 7 t) - 18/17 sin(3/2 - 4 t) - 153/4 sin(8/5 - 3 t) + 281/4 sin(t + 8/5) + 449/3 sin(2 t + 8/5) + 8/3 sin(5 t + 8/5) + 13/4 sin(6 t + 8/5) + 6/5 sin(8 t + 3/2) + 1/3 sin(9 t + 14/3) + 4/5 sin(12 t + 8/5) - 3211/4) θ(143 π - t) θ(t - 139 π) + (-1/2 sin(3/2 - 45 t) - 11/10 sin(3/2 - 43 t) - 4/5 sin(3/2 - 41 t) - 13/5 sin(3/2 - 35 t) - 3/5 sin(3/2 - 34 t) - 7/4 sin(3/2 - 33 t) - 4/3 sin(3/2 - 31 t) - 9/5 sin(3/2 - 19 t) - 27/5 sin(3/2 - 17 t) - 45/4 sin(3/2 - 15 t) - 91/4 sin(8/5 - 13 t) + 461/3 sin(t + 8/5) + 13/3 sin(2 t + 14/3) + 42/5 sin(3 t + 8/5) + 21/4 sin(4 t + 8/5) + 17/4 sin(5 t + 8/5) + 11/3 sin(6 t + 8/5) + 13/7 sin(7 t + 8/5) + 10/3 sin(8 t + 14/3) + 10/3 sin(9 t + 5/3) + 3/2 sin(10 t + 8/5) + 53/4 sin(11 t + 8/5) + 5 sin(12 t + 8/5) + 17/3 sin(14 t + 8/5) + 3/4 sin(16 t + 7/5) + 4/5 sin(18 t + 8/5) + 3/2 sin(20 t + 8/5) + 3/2 sin(21 t + 14/3) + 1/3 sin(22 t + 8/5) + 7/3 sin(23 t + 8/5) + 1/9 sin(24 t + 14/3) + 3/5 sin(25 t + 5/3) + 5/3 sin(26 t + 8/5) + 10/9 sin(27 t + 14/3) + 12/5 sin(28 t + 8/5) + 5/6 sin(29 t + 14/3) + 1/2 sin(30 t + 3/2) + 1/8 sin(32 t + 18/17) + 1/4 sin(36 t + 4/3) + 8/5 sin(37 t + 8/5) + 1/2 sin(38 t + 14/3) + 1/17 sin(39 t + 13/6) + 3/5 sin(40 t + 8/5) + 1/3 sin(42 t + 5/3) + 2/3 sin(44 t + 3/2) - 551) θ(139 π - t) θ(t - 135 π) + (-1/2 sin(7/5 - 32 t) - 5/4 sin(3/2 - 31 t) - 7/6 sin(3/2 - 30 t) - 9/5 sin(3/2 - 29 t) - 3/2 sin(3/2 - 28 t) - 3/5 sin(7/5 - 27 t) - 11/2 sin(3/2 - 19 t) - 32/5 sin(3/2 - 18 t) - 12/5 sin(3/2 - 14 t) - 2 sin(8/5 - 13 t) - 37/5 sin(8/5 - 11 t) - 5/2 sin(3/2 - 8 t) - 256/5 sin(8/5 - 5 t) - 27/2 sin(8/5 - 3 t) - 226/5 sin(8/5 - 2 t) - 107/4 sin(8/5 - t) + 368/9 sin(4 t + 8/5) + 153/5 sin(6 t + 8/5) + 20/3 sin(7 t + 14/3) + 15/7 sin(9 t + 14/3) + 27/4 sin(10 t + 8/5) + 12/5 sin(12 t + 8/5) + 13/7 sin(15 t + 5/3) + 29/3 sin(16 t + 8/5) + 4/5 sin(17 t + 5/3) + 19/4 sin(20 t + 8/5) + sin(21 t + 14/3) + sin(22 t + 5/3) + 19/10 sin(23 t + 5/3) + 7/3 sin(24 t + 5/3) + 1/4 sin(25 t + 13/3) + 7/6 sin(26 t + 5/3) - 160) θ(135 π - t) θ(t - 131 π) + (-7/6 sin(8/5 - 27 t) - 3/2 sin(3/2 - 23 t) - 7/3 sin(3/2 - 21 t) - 21/4 sin(8/5 - 18 t) - 43/5 sin(8/5 - 11 t) - 53/4 sin(8/5 - 8 t) - 59/3 sin(8/5 - 5 t) - 27/4 sin(8/5 - t) + 161/3 sin(2 t + 8/5) + 100/3 sin(3 t + 8/5) + 47/4 sin(4 t + 8/5) + 14/5 sin(6 t + 14/3) + 248/19 sin(7 t + 14/3) + 12/5 sin(9 t + 8/5) + 97/6 sin(10 t + 8/5) + 1/2 sin(12 t + 14/3) + 11/6 sin(13 t + 8/5) + 15/4 sin(14 t + 8/5) + 31/8 sin(15 t + 8/5) + 8/5 sin(16 t + 8/5) + 4 sin(17 t + 14/3) + 8/5 sin(19 t + 8/5) + 12/5 sin(20 t + 8/5) + 1/3 sin(22 t + 5/3) + 1/4 sin(24 t + 3/2) + 5/2 sin(25 t + 8/5) + 11/5 sin(26 t + 8/5) + 379/4) θ(131 π - t) θ(t - 127 π) + (-3/4 sin(3/2 - 62 t) - 1/2 sin(3/2 - 61 t) - 1/2 sin(3/2 - 60 t) - 3/4 sin(3/2 - 54 t) - 8/9 sin(3/2 - 46 t) - 1/2 sin(3/2 - 45 t) - 1/4 sin(3/2 - 43 t) - 3/2 sin(3/2 - 39 t) - 1/5 sin(16/15 - 38 t) - 35/6 sin(3/2 - 27 t) - 3/2 sin(3/2 - 26 t) - 3/4 sin(4/3 - 23 t) - 32/5 sin(3/2 - 19 t) - 8/3 sin(3/2 - 18 t) - 12 sin(3/2 - 16 t) - 63/5 sin(8/5 - 12 t) - 166/5 sin(8/5 - 11 t) - 36 sin(8/5 - 6 t) - 221/4 sin(8/5 - 4 t) - 731/6 sin(8/5 - 2 t) + 25/3 sin(t + 14/3) + 426/5 sin(3 t + 8/5) + 84/5 sin(5 t + 14/3) + 47/6 sin(7 t + 14/3) + 15/4 sin(8 t + 8/5) + sin(9 t + 4/3) + 46/3 sin(10 t + 14/3) + 67/2 sin(13 t + 8/5) + 123/5 sin(14 t + 8/5) + 1/3 sin(15 t + 8/7) + 36/5 sin(17 t + 14/3) + 18/5 sin(20 t + 8/5) + 67/6 sin(21 t + 8/5) + 15/2 sin(22 t + 8/5) + 7/5 sin(24 t + 8/5) + 7/2 sin(25 t + 8/5) + 2/3 sin(28 t + 7/4) + 14/3 sin(29 t + 8/5) + 7/2 sin(30 t + 8/5) + 8/7 sin(31 t + 7/5) + 22/5 sin(32 t + 8/5) + 14/3 sin(33 t + 8/5) + 16/5 sin(34 t + 3/2) + 17/5 sin(35 t + 3/2) + 24/5 sin(36 t + 8/5) + 18/5 sin(37 t + 8/5) + 3/2 sin(40 t + 8/5) + 14/5 sin(41 t + 8/5) + 8/5 sin(42 t + 8/5) + 2/3 sin(44 t + 23/5) + 3/5 sin(47 t + 3/2) + 3/4 sin(48 t + 8/5) + 5/3 sin(49 t + 8/5) + 5/4 sin(50 t + 8/5) + 5/4 sin(51 t + 8/5) + 1/2 sin(52 t + 8/5) + 1/2 sin(53 t + 3/2) + 3/5 sin(55 t + 8/5) + 1/4 sin(56 t + 8/5) + 5/4 sin(57 t + 8/5) + 1/9 sin(58 t + 4/5) + 5/6 sin(59 t + 5/3) + 13/12 sin(63 t + 8/5) + 1828/7) θ(127 π - t) θ(t - 123 π) + (-2/3 sin(3/2 - 43 t) - 25/12 sin(3/2 - 42 t) - 4/3 sin(3/2 - 41 t) - 4/5 sin(3/2 - 40 t) - 5/3 sin(3/2 - 39 t) - 17/8 sin(3/2 - 36 t) - 7/5 sin(3/2 - 34 t) - 34/11 sin(3/2 - 32 t) - 3/2 sin(3/2 - 29 t) - 2/3 sin(7/5 - 27 t) - 33/16 sin(8/5 - 26 t) - 11/5 sin(3/2 - 25 t) - sin(8/5 - 24 t) - 3/2 sin(3/2 - 23 t) - 64/13 sin(8/5 - 22 t) - 11/4 sin(3/2 - 21 t) - 20/3 sin(3/2 - 20 t) - 3/5 sin(8/5 - 19 t) - 41/6 sin(3/2 - 18 t) - 37/5 sin(3/2 - 16 t) - 55/8 sin(3/2 - 15 t) - 153/5 sin(8/5 - 8 t) - 230/3 sin(8/5 - 6 t) - 16 sin(8/5 - 5 t) - 591/10 sin(8/5 - 4 t) - 95/3 sin(8/5 - 3 t) + 479/3 sin(t + 8/5) + 1189/10 sin(2 t + 8/5) + 129/2 sin(7 t + 8/5) + 22/3 sin(9 t + 8/5) + 147/4 sin(10 t + 8/5) + 49/4 sin(11 t + 8/5) + 32/5 sin(12 t + 14/3) + 11 sin(13 t + 8/5) + 1/4 sin(14 t + 14/3) + 13/12 sin(17 t + 3/2) + 2/3 sin(28 t + 9/2) + 2/5 sin(30 t + 23/5) + 6/5 sin(31 t + 8/5) + 1/3 sin(35 t + 3/2) + 7/4 sin(37 t + 8/5) + 1/7 sin(38 t + 9/4) + 349/3) θ(123 π - t) θ(t - 119 π) + (-sin(3/2 - 11 t) - sin(3/2 - 8 t) - 21/5 sin(8/5 - 7 t) - 8/5 sin(3/2 - 6 t) - 97/5 sin(8/5 - 5 t) - 5/6 sin(4/3 - 4 t) - 119/4 sin(8/5 - 3 t) + 326/5 sin(t + 8/5) + 23/5 sin(2 t + 8/5) + 1/10 sin(9 t + 8/5) + 1/5 sin(10 t + 14/3) + 2/5 sin(12 t + 8/5) - 2294/9) θ(119 π - t) θ(t - 115 π) + (-3/5 sin(3/2 - 11 t) - 8/5 sin(3/2 - 8 t) - 9/5 sin(3/2 - 7 t) - 8/5 sin(3/2 - 6 t) - 35/4 sin(8/5 - 5 t) - 1/4 sin(5/4 - 4 t) - 15 sin(8/5 - 3 t) + 145/4 sin(t + 8/5) + 59/5 sin(2 t + 8/5) + 1/3 sin(9 t + 8/5) + 3/5 sin(10 t + 8/5) + 3/4 sin(12 t + 8/5) - 1517/6) θ(115 π - t) θ(t - 111 π) + (-27/7 sin(8/5 - 22 t) - 33/4 sin(8/5 - 16 t) - 9/10 sin(3/2 - 6 t) - 155/3 sin(8/5 - t) + 829/5 sin(2 t + 8/5) + 25 sin(3 t + 8/5) + 44/9 sin(4 t + 14/3) + 25/2 sin(5 t + 14/3) + 20 sin(7 t + 8/5) + 51/4 sin(8 t + 8/5) + 209/8 sin(9 t + 14/3) + 47/6 sin(10 t + 14/3) + 13/2 sin(11 t + 14/3) + 1/3 sin(12 t + 13/3) + 41/10 sin(13 t + 14/3) + 101/6 sin(14 t + 14/3) + 3/4 sin(15 t + 29/7) + 52/5 sin(17 t + 8/5) + 23/2 sin(18 t + 14/3) + 9/4 sin(19 t + 5/3) + 31/5 sin(20 t + 14/3) + 46/9 sin(21 t + 8/5) + 6/5 sin(23 t + 9/2) + 9/2 sin(24 t + 14/3) + 2832/5) θ(111 π - t) θ(t - 107 π) + (125/6 sin(t + 14/3) + 106/7 sin(2 t + 8/5) + 26/3 sin(3 t + 8/5) + 110/3 sin(4 t + 8/5) + 15/4 sin(5 t + 8/5) + 1/2 sin(6 t + 8/5) + 15 sin(7 t + 8/5) + 25/6 sin(8 t + 8/5) + 11/10 sin(9 t + 14/3) + 13/5 sin(10 t + 8/5) + 8/5 sin(11 t + 8/5) + 4 sin(12 t + 8/5) - 2149/4) θ(107 π - t) θ(t - 103 π) + (161/9 sin(t + 8/5) + 1/2 sin(2 t + 8/5) + 155/7 sin(3 t + 14/3) + 137/5 sin(4 t + 8/5) + 16/3 sin(5 t + 8/5) + 37/4 sin(6 t + 8/5) + 19/5 sin(7 t + 14/3) + 11/10 sin(8 t + 8/5) + 8/5 sin(9 t + 8/5) + 20/7 sin(10 t + 8/5) + 2/5 sin(11 t + 14/3) + 11/6 sin(12 t + 14/3) - 534) θ(103 π - t) θ(t - 99 π) + (-27/7 sin(3/2 - 11 t) - 23/3 sin(3/2 - 10 t) - 15/4 sin(3/2 - 9 t) - 43/5 sin(8/5 - 3 t) - 233/6 sin(8/5 - t) + 19/4 sin(2 t + 8/5) + 2/3 sin(4 t + 8/5) + 6/7 sin(5 t + 8/5) + 19/5 sin(7 t + 8/5) + 7/3 sin(8 t + 8/5) + 7/2 sin(12 t + 5/3) + 151/3) θ(99 π - t) θ(t - 95 π) + (-13 sin(3/2 - 10 t) - 7/2 sin(3/2 - 7 t) - 119/12 sin(8/5 - 6 t) - 37 sin(8/5 - 4 t) - 255/4 sin(8/5 - 2 t) - 1/5 sin(3/2 - t) + 81/2 sin(3 t + 8/5) + 271/15 sin(5 t + 8/5) + 5/2 sin(8 t + 5/3) + 23/5 sin(9 t + 8/5) + 13/2 sin(11 t + 8/5) + 41/5 sin(12 t + 8/5) - 1770/11) θ(95 π - t) θ(t - 91 π) + (-8/5 sin(4/3 - 40 t) - 4/3 sin(7/5 - 37 t) - 10 sin(8/5 - 36 t) - 10 sin(8/5 - 34 t) - 175/8 sin(8/5 - 18 t) - 67/4 sin(8/5 - 8 t) - 28/5 sin(8/5 - 5 t) - 213/5 sin(8/5 - 4 t) - 399/4 sin(8/5 - 2 t) - 221/3 sin(8/5 - t) + 312/5 sin(3 t + 14/3) + 139/4 sin(6 t + 14/3) + 137/6 sin(7 t + 14/3) + 137/5 sin(9 t + 14/3) + 63/2 sin(10 t + 14/3) + 128/3 sin(11 t + 8/5) + 55/2 sin(12 t + 8/5) + 47/5 sin(13 t + 8/5) + 16 sin(14 t + 3/2) + 9/4 sin(15 t + 14/3) + 109/2 sin(16 t + 14/3) + 88/5 sin(17 t + 14/3) + 85/4 sin(19 t + 14/3) + 1/3 sin(20 t + 3/4) + 99/5 sin(21 t + 3/2) + 9/2 sin(22 t + 8/5) + 7/4 sin(23 t + 5/3) + 23/5 sin(24 t + 8/5) + 19/2 sin(25 t + 14/3) + 34/3 sin(26 t + 14/3) + 66/5 sin(27 t + 8/5) + 25/4 sin(28 t + 8/5) + 7/3 sin(29 t + 9/5) + 2 sin(30 t + 3/2) + 20/7 sin(31 t + 8/5) + 71/6 sin(32 t + 14/3) + 29/3 sin(33 t + 14/3) + 111/8 sin(35 t + 14/3) + 35/3 sin(38 t + 14/3) + 17/3 sin(39 t + 14/3) + 17/16 sin(41 t + 3/2) + 33/8 sin(42 t + 14/3) + 11/6 sin(43 t + 8/5) + 13/4 sin(44 t + 3/2) + 6/5 sin(45 t + 5/3) + 23/5 sin(46 t + 8/5) + 13/2 sin(47 t + 8/5) + 9/4 sin(48 t + 8/5) + 20/3 sin(49 t + 8/5) + 27/5 sin(50 t + 3/2) + 10/3 sin(51 t + 8/5) + 8/5 sin(52 t + 3/2) + 20/3 sin(53 t + 3/2) + 12/5 sin(54 t + 3/2) + 4/3 sin(55 t + 3/2) + 14/5 sin(56 t + 3/2) + 677/5) θ(91 π - t) θ(t - 87 π) + (-3/4 sin(5/4 - 24 t) - 11/2 sin(3/2 - 23 t) - 5/3 sin(3/2 - 13 t) - 271/8 sin(8/5 - 7 t) - 98/3 sin(3/2 - 6 t) - 44/9 sin(7/5 - 3 t) - 43/11 sin(7/5 - 2 t) - 173/4 sin(8/5 - t) + 177/4 sin(4 t + 8/5) + 529/4 sin(5 t + 8/5) + 39/4 sin(8 t + 14/3) + 27/13 sin(9 t + 7/3) + 274/13 sin(10 t + 14/3) + 138/5 sin(11 t + 14/3) + 13/5 sin(12 t + 23/5) + 54/5 sin(14 t + 3/2) + 19/4 sin(15 t + 3/2) + 26/3 sin(16 t + 8/5) + 73/4 sin(17 t + 14/3) + 11/10 sin(18 t + 8/3) + 29/5 sin(19 t + 9/2) + 67/6 sin(20 t + 14/3) + 28/3 sin(21 t + 14/3) + 38/5 sin(22 t + 5/3) + 13/3 sin(25 t + 5/3) + 7/4 sin(26 t + 7/4) + 62/9 sin(27 t + 14/3) + 14/3 sin(28 t + 14/3) + 11/3 sin(29 t + 14/3) + 19/5 sin(30 t + 8/5) + 21/5 sin(31 t + 3/2) - 1700/7) θ(87 π - t) θ(t - 83 π) + (-18/5 sin(3/2 - 33 t) - 22/5 sin(3/2 - 31 t) - 13/3 sin(3/2 - 27 t) - 17/8 sin(3/2 - 25 t) - 41/4 sin(3/2 - 21 t) - 53/3 sin(3/2 - 19 t) - 13/5 sin(3/2 - 15 t) - 7/5 sin(7/5 - 13 t) - 37/5 sin(3/2 - 10 t) - 22/3 sin(3/2 - 9 t) - 1063/18 sin(8/5 - 7 t) - 76/5 sin(3/2 - 4 t) + 221/3 sin(t + 8/5) + 55/3 sin(2 t + 8/5) + 19/5 sin(3 t + 14/3) + 221/3 sin(5 t + 8/5) + 219 sin(6 t + 8/5) + 63/5 sin(8 t + 8/5) + 76/3 sin(11 t + 8/5) + 189/4 sin(12 t + 8/5) + 25/3 sin(14 t + 8/5) + 41/4 sin(16 t + 8/5) + 83/3 sin(17 t + 5/3) + 143/6 sin(18 t + 8/5) + 67/5 sin(20 t + 8/5) + 3 sin(22 t + 3/2) + 36/5 sin(23 t + 5/3) + 23/5 sin(24 t + 8/5) + 17/4 sin(26 t + 8/5) + 55/8 sin(28 t + 8/5) + 35/4 sin(29 t + 5/3) + 4/3 sin(30 t + 3/2) + 17/4 sin(32 t + 8/5) + 39/5 sin(34 t + 5/3) - 2005/3) θ(83 π - t) θ(t - 79 π) + (-2/3 sin(7/5 - 5 t) + 257/5 sin(t + 14/3) + 755/3 sin(2 t + 14/3) + 87/5 sin(3 t + 5/3) + 7/3 sin(4 t + 4/3) + 71/5 sin(6 t + 14/3) + 20/3 sin(7 t + 8/5) + 1/2 sin(8 t + 2/5) + 13/4 sin(9 t + 3/2) + 8/3 sin(10 t + 3/2) + 33/4 sin(11 t + 3/2) + 7/4 sin(12 t + 4/3) - 1079/3) θ(79 π - t) θ(t - 75 π) + (-22/3 sin(8/5 - 11 t) - 55/7 sin(8/5 - 9 t) - 10/3 sin(3/2 - 6 t) - 17/2 sin(8/5 - 5 t) - 9/2 sin(3/2 - 4 t) - 569/5 sin(8/5 - 3 t) + 838/5 sin(t + 8/5) + 211/2 sin(2 t + 8/5) + 23/2 sin(7 t + 14/3) + 20/3 sin(8 t + 8/5) + 7/3 sin(10 t + 3/2) + 48/5 sin(12 t + 8/5) - 5331/10) θ(75 π - t) θ(t - 71 π) + (181/15 sin(t + 8/5) + 35/9 sin(2 t + 8/5) + 14 sin(3 t + 14/3) - 725) θ(71 π - t) θ(t - 67 π) + (-2/5 sin(3/2 - 8 t) - 7/6 sin(8/5 - 7 t) - 4 sin(8/5 - 5 t) - 47/3 sin(8/5 - 3 t) - 21/4 sin(8/5 - 2 t) + 93/4 sin(t + 8/5) + 3/5 sin(4 t + 3/2) + 1/2 sin(6 t + 3/2) - 4338/5) θ(67 π - t) θ(t - 63 π) + (-5/4 sin(8/5 - 6 t) - 7/2 sin(8/5 - 5 t) - 67/5 sin(8/5 - 3 t) - 9 sin(8/5 - 2 t) + 74/5 sin(t + 8/5) + 1/2 sin(4 t + 3/2) - 1936/3) θ(63 π - t) θ(t - 59 π) + (-12/5 sin(8/5 - 7 t) - 1/8 sin(5/4 - 6 t) - 9/2 sin(8/5 - 5 t) - 129/5 sin(8/5 - 3 t) - 90/7 sin(8/5 - 2 t) + 40 sin(t + 8/5) + 2/3 sin(4 t + 3/2) - 5090/7) θ(59 π - t) θ(t - 55 π) + (83/2 sin(t + 8/5) + 69/7 sin(2 t + 14/3) + 148/5 sin(3 t + 14/3) + 19/18 sin(4 t + 8/5) + 79/10 sin(5 t + 14/3) + 1/11 sin(6 t + 22/5) - 3231/5) θ(55 π - t) θ(t - 51 π) + (-3/5 sin(3/2 - 6 t) - 9 sin(8/5 - 5 t) - 3/2 sin(3/2 - 4 t) - 115/4 sin(8/5 - 3 t) + 189/4 sin(t + 8/5) + 9/4 sin(2 t + 8/5) - 2581/3) θ(51 π - t) θ(t - 47 π) + (-17/2 sin(3/2 - 20 t) - 3/2 sin(3/2 - 18 t) - 7/3 sin(3/2 - 17 t) - 22/5 sin(3/2 - 16 t) - 19/4 sin(3/2 - 14 t) - 21/4 sin(3/2 - 13 t) - 103/4 sin(3/2 - 12 t) - 43/5 sin(3/2 - 9 t) - 51/2 sin(8/5 - 8 t) - 9 sin(3/2 - 5 t) - 1167/5 sin(8/5 - 4 t) + 176/5 sin(t + 14/3) + 51/5 sin(2 t + 14/3) + 167/8 sin(3 t + 8/5) + 107/5 sin(6 t + 8/5) + 39/4 sin(7 t + 8/5) + 21/5 sin(10 t + 14/3) + 7/8 sin(11 t + 7/5) + 7 sin(15 t + 8/5) + 4/3 sin(19 t + 3/2) - 5279/8) θ(47 π - t) θ(t - 43 π) + (-1/4 sin(3/4 - 15 t) - 89/5 sin(8/5 - 8 t) - 102/5 sin(8/5 - 6 t) - 147/2 sin(8/5 - 4 t) - 2051/12 sin(8/5 - 2 t) - 3661/15 sin(8/5 - t) + 1148/5 sin(3 t + 8/5) + 8/3 sin(5 t + 14/3) + 7/3 sin(7 t + 3/2) + 75/4 sin(9 t + 8/5) + 45/2 sin(10 t + 8/5) + 30 sin(11 t + 8/5) + 31/3 sin(12 t + 5/3) + 49/3 sin(13 t + 8/5) + 5/4 sin(14 t + 7/4) + 1/2 sin(16 t + 22/5) + 3 sin(17 t + 8/5) + 7/6 sin(18 t + 11/6) + 34/3 sin(19 t + 5/3) + 19/3 sin(20 t + 5/3) + 27/5 sin(21 t + 5/3) + 5/3 sin(22 t + 7/4) + 2541/4) θ(43 π - t) θ(t - 39 π) + (-1/12 sin(3/2 - 12 t) - 1/10 sin(3/2 - 11 t) - 11/5 sin(8/5 - 8 t) - 8/3 sin(8/5 - 6 t) - 31/10 sin(8/5 - 5 t) - 2/3 sin(8/5 - 2 t) - 47/6 sin(8/5 - t) + 25/4 sin(3 t + 8/5) + 14/5 sin(4 t + 8/5) + 2/3 sin(7 t + 8/5) + 1/2 sin(9 t + 8/5) + 1/3 sin(10 t + 8/5) - 591/2) θ(39 π - t) θ(t - 35 π) + (-5/2 sin(8/5 - 11 t) - 379/6 sin(8/5 - 3 t) + 5/2 sin(t + 14/3) + 49/10 sin(2 t + 8/5) + 109/3 sin(4 t + 8/5) + 77/6 sin(5 t + 8/5) + 19/4 sin(6 t + 3/2) + 11/2 sin(7 t + 3/2) + 47/5 sin(8 t + 3/2) + 11/2 sin(9 t + 3/2) + 10 sin(10 t + 8/5) + 19/5 sin(12 t + 14/3) - 811/3) θ(35 π - t) θ(t - 31 π) + (-9/2 sin(8/5 - 11 t) - 15/4 sin(8/5 - 10 t) - 5/2 sin(8/5 - 8 t) - 127/8 sin(8/5 - 7 t) - 17/5 sin(8/5 - 6 t) - 28/3 sin(8/5 - 4 t) - 189/5 sin(8/5 - 3 t) + 87/2 sin(t + 8/5) + 568/5 sin(2 t + 8/5) + 11/3 sin(5 t + 14/3) + 49/16 sin(9 t + 14/3) + 5/3 sin(12 t + 8/5) - 785/4) θ(31 π - t) θ(t - 27 π) + (-1/2 sin(8/5 - 9 t) - sin(8/5 - 7 t) + 49/5 sin(t + 8/5) + 20/3 sin(2 t + 14/3) + 116/9 sin(3 t + 14/3) + 18/17 sin(4 t + 8/5) + 8/3 sin(5 t + 14/3) + 1/5 sin(6 t + 14/3) + sin(8 t + 8/5) + 1/4 sin(10 t + 8/5) + 2/5 sin(11 t + 14/3) + 1/3 sin(12 t + 14/3) + 383/5) θ(27 π - t) θ(t - 23 π) + (-23/12 sin(3/2 - 11 t) - 23/12 sin(3/2 - 7 t) + 8/5 sin(t + 14/3) + 41/4 sin(2 t + 8/5) + 29/3 sin(3 t + 14/3) + 313/8 sin(4 t + 8/5) + 29/4 sin(5 t + 8/5) + 11/6 sin(6 t + 8/5) + 8/5 sin(8 t + 8/5) + 3/2 sin(9 t + 8/5) + sin(10 t + 3/2) + 11/4 sin(12 t + 8/5) + 559/7) θ(23 π - t) θ(t - 19 π) + (-3/5 sin(3/2 - 11 t) - 3/2 sin(8/5 - 10 t) - 2/3 sin(8/5 - 8 t) - 4/3 sin(8/5 - 7 t) - 49/10 sin(8/5 - 6 t) - 16/5 sin(3/2 - 3 t) - 451/9 sin(8/5 - 2 t) + 54/5 sin(t + 8/5) + 8/5 sin(4 t + 14/3) + 13/6 sin(5 t + 8/5) + 4/5 sin(9 t + 8/5) + 3/5 sin(12 t + 14/3) - 187/4) θ(19 π - t) θ(t - 15 π) + (-1/3 sin(8/5 - 9 t) - 3/5 sin(8/5 - 8 t) + 196/5 sin(t + 8/5) + 173/5 sin(2 t + 14/3) + 143/4 sin(3 t + 8/5) + 19 sin(4 t + 8/5) + 43/6 sin(5 t + 8/5) + 36/7 sin(6 t + 14/3) + 2 sin(7 t + 8/5) + 1/2 sin(10 t + 14/3) + 17/5 sin(11 t + 8/5) + 7/5 sin(12 t + 8/5) - 690/13) θ(15 π - t) θ(t - 11 π) + (-1/4 sin(3/2 - 8 t) - 37/4 sin(8/5 - 5 t) - 24/5 sin(8/5 - 4 t) - 98/3 sin(8/5 - 3 t) + 24 sin(t + 14/3) + 27/2 sin(2 t + 8/5) + 2/3 sin(6 t + 14/3) + 7/3 sin(7 t + 14/3) + 44) θ(11 π - t) θ(t - 7 π) + (-9/2 sin(3/2 - 7 t) - 20/7 sin(8/5 - 6 t) - 7 sin(8/5 - 4 t) - 76/3 sin(8/5 - 3 t) - 99/2 sin(8/5 - 2 t) - 1240/7 sin(8/5 - t) + sin(5 t + 14/3) + 83/7) θ(7 π - t) θ(t - 3 π) + (-9/5 sin(8/5 - 6 t) - sin(8/5 - 4 t) - 23/5 sin(8/5 - 3 t) - 29/7 sin(8/5 - 2 t) - 572/3 sin(8/5 - t) + 13/5 sin(5 t + 8/5) + 1/10 sin(7 t + 11/6) - 345/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-15/4 sin(3/2 - 19 t) - 12/5 sin(7/5 - 18 t) - 21/10 sin(3/2 - 17 t) - 3/2 sin(7/5 - 16 t) - 3/2 sin(3/2 - 15 t) - 57/5 sin(3/2 - 13 t) - 15/2 sin(3/2 - 12 t) - 61/4 sin(3/2 - 9 t) - 61/2 sin(3/2 - 7 t) - 111/8 sin(3/2 - 6 t) - 781/3 sin(8/5 - 3 t) - 246/7 sin(3/2 - 2 t) - 2507/12 sin(8/5 - t) + 114/5 sin(4 t + 8/5) + 111/4 sin(5 t + 5/3) + 5/6 sin(8 t + 4/3) + 31/6 sin(10 t + 8/5) + 8/3 sin(11 t + 5/3) + 21/4 sin(14 t + 8/5) + 563) θ(159 π - t) θ(t - 155 π) + (-7/5 sin(4/3 - 10 t) - 72/5 sin(3/2 - 9 t) - 55/6 sin(3/2 - 7 t) - 33 sin(3/2 - 6 t) - 193/4 sin(3/2 - 5 t) - 238/3 sin(8/5 - 3 t) + 1701/17 sin(t + 8/5) + 628/5 sin(2 t + 8/5) + 57/5 sin(4 t + 3/2) + sin(8 t + 7/5) + 6/5 sin(11 t + 14/3) + 31/4 sin(12 t + 5/3) + 101/5) θ(155 π - t) θ(t - 151 π) + (-14/3 sin(3/2 - 12 t) - 2 sin(3/2 - 10 t) - 43/7 sin(8/5 - 9 t) - 34/3 sin(3/2 - 8 t) - 402/5 sin(8/5 - 5 t) - 52 sin(8/5 - 3 t) - 613/3 sin(8/5 - 2 t) - 965/3 sin(8/5 - t) + 703/13 sin(4 t + 8/5) + 27/2 sin(6 t + 8/5) + 3 sin(7 t + 14/3) + 1/2 sin(11 t + 14/3) - 2538/5) θ(151 π - t) θ(t - 147 π) + (-111/8 sin(8/5 - 10 t) - 91/6 sin(8/5 - 7 t) - 142/3 sin(8/5 - 6 t) - 372/7 sin(8/5 - 5 t) - 20/3 sin(8/5 - 4 t) - 440/3 sin(8/5 - t) + 42 sin(2 t + 8/5) + 8/5 sin(3 t + 7/4) + 55/6 sin(8 t + 8/5) + 18/5 sin(9 t + 5/3) + 146/7 sin(11 t + 8/5) + 1/3 sin(12 t + 9/2) - 1915/3) θ(147 π - t) θ(t - 143 π) + (-23/12 sin(8/5 - 11 t) + 76/15 sin(t + 8/5) + 545/6 sin(2 t + 8/5) + 15 sin(3 t + 8/5) + 4 sin(4 t + 8/5) + 21/2 sin(5 t + 8/5) + 77/5 sin(6 t + 8/5) + 9/8 sin(7 t + 14/3) + 2 sin(8 t + 8/5) + 12/5 sin(9 t + 8/5) + 34/5 sin(10 t + 8/5) + 19/6 sin(12 t + 8/5) - 3119/3) θ(143 π - t) θ(t - 139 π) + (-5/2 sin(3/2 - 45 t) - 15/4 sin(3/2 - 43 t) - 11/2 sin(3/2 - 41 t) - 28/5 sin(8/5 - 38 t) - 34/5 sin(3/2 - 35 t) - 27/7 sin(3/2 - 33 t) - 10/3 sin(3/2 - 23 t) - 11/4 sin(3/2 - 22 t) - 5 sin(3/2 - 21 t) - 12/5 sin(3/2 - 20 t) - 48/5 sin(3/2 - 19 t) - 53/3 sin(3/2 - 17 t) - 34/7 sin(7/5 - 16 t) - 87/2 sin(3/2 - 15 t) - 678/5 sin(8/5 - 13 t) - 49/3 sin(3/2 - 12 t) - 49/6 sin(3/2 - 7 t) - 29/3 sin(3/2 - 6 t) - 112/5 sin(8/5 - 5 t) - 79/4 sin(3/2 - 4 t) - 181/4 sin(8/5 - 3 t) - 91/3 sin(8/5 - 2 t) - 937/5 sin(8/5 - t) + 91/10 sin(8 t + 14/3) + 46/5 sin(9 t + 5/3) + 64/3 sin(10 t + 8/5) + 229/3 sin(11 t + 8/5) + 46/3 sin(14 t + 3/2) + 13/5 sin(18 t + 14/3) + 14/5 sin(24 t + 8/5) + 33/4 sin(25 t + 8/5) + 9/8 sin(26 t + 5/3) + 14/3 sin(27 t + 5/3) + 7/3 sin(28 t + 5/3) + 3/2 sin(29 t + 5/3) + 4/5 sin(30 t + 8/5) + 1/12 sin(31 t + 1/2) + 2/3 sin(32 t + 5/4) + 85/14 sin(34 t + 14/3) + 7/2 sin(36 t + 3/2) + 28/3 sin(37 t + 8/5) + 4/5 sin(39 t + 14/3) + 5/3 sin(40 t + 8/5) + 7/6 sin(42 t + 8/5) + 2/3 sin(44 t + 5/4) + 111) θ(139 π - t) θ(t - 135 π) + (-7/2 sin(3/2 - 32 t) - 14/5 sin(7/5 - 31 t) - 10/3 sin(3/2 - 30 t) - 41/8 sin(3/2 - 29 t) - 5/2 sin(3/2 - 28 t) - sin(3/2 - 27 t) - 13/7 sin(3/2 - 20 t) - 21/2 sin(3/2 - 19 t) - 67/5 sin(3/2 - 18 t) - 42/5 sin(3/2 - 14 t) - 28/3 sin(3/2 - 13 t) - 28/3 sin(3/2 - 11 t) - 20 sin(8/5 - 8 t) - 77/4 sin(8/5 - 6 t) - 12 sin(8/5 - 3 t) + 29/6 sin(t + 14/3) + 93/2 sin(2 t + 8/5) + 47/2 sin(4 t + 8/5) + 1/3 sin(5 t + 14/3) + 188/7 sin(7 t + 8/5) + 27/7 sin(9 t + 8/5) + 24/5 sin(10 t + 8/5) + 14/5 sin(12 t + 8/5) + 3/4 sin(15 t + 13/7) + 78/5 sin(16 t + 8/5) + 2/3 sin(17 t + 3/2) + 4/5 sin(21 t + 8/5) + 3 sin(22 t + 14/3) + 61/15 sin(23 t + 5/3) + 10/3 sin(24 t + 5/3) + 7/8 sin(25 t + 9/2) + 2/5 sin(26 t + 7/4) + 643/3) θ(135 π - t) θ(t - 131 π) + (-13/4 sin(8/5 - 27 t) - 5/6 sin(8/5 - 22 t) - 41/4 sin(8/5 - 17 t) - 43/3 sin(8/5 - 15 t) - 59/6 sin(8/5 - 10 t) - 21/2 sin(8/5 - 8 t) - 182/5 sin(8/5 - 7 t) - 1164/5 sin(8/5 - 5 t) - 43/14 sin(8/5 - t) + 228/5 sin(2 t + 8/5) + 711/8 sin(3 t + 8/5) + 25/3 sin(4 t + 8/5) + 9/2 sin(6 t + 5/3) + 41/6 sin(9 t + 14/3) + 50/7 sin(11 t + 14/3) + 61/15 sin(12 t + 3/2) + 15 sin(13 t + 8/5) + 13/4 sin(14 t + 8/5) + 5 sin(16 t + 5/3) + 2/5 sin(18 t + 25/6) + 10/3 sin(19 t + 14/3) + 11/2 sin(20 t + 14/3) + 29/5 sin(21 t + 14/3) + 17/5 sin(23 t + 8/5) + 3/2 sin(25 t + 14/3) + 3 sin(26 t + 5/3) + 686/3) θ(131 π - t) θ(t - 127 π) + (-sin(7/5 - 61 t) - 5/6 sin(7/5 - 54 t) - 1/4 sin(7/5 - 52 t) - sin(3/2 - 51 t) - 5/4 sin(8/5 - 50 t) - 1/5 sin(3/2 - 48 t) - 2/3 sin(7/5 - 47 t) - 31/10 sin(3/2 - 44 t) - 1/2 sin(8/5 - 42 t) - 3/4 sin(8/5 - 40 t) - 11/6 sin(3/2 - 34 t) - 7/5 sin(4/3 - 32 t) - 4/3 sin(3/2 - 24 t) - 44/3 sin(3/2 - 22 t) - 68/3 sin(8/5 - 18 t) - 27/4 sin(3/2 - 17 t) - 21/4 sin(3/2 - 15 t) - 52/3 sin(3/2 - 10 t) - 11 sin(3/2 - 8 t) - 169/10 sin(3/2 - 7 t) - 129 sin(8/5 - 5 t) - 384/5 sin(8/5 - 2 t) + 721/10 sin(t + 8/5) + 203/4 sin(3 t + 8/5) + 479/4 sin(4 t + 8/5) + 215/4 sin(6 t + 8/5) + 23/5 sin(9 t + 5/3) + 10/3 sin(11 t + 14/3) + 35/4 sin(12 t + 3/2) + 28 sin(13 t + 8/5) + 19/4 sin(14 t + 3/2) + 92/7 sin(16 t + 5/3) + 17/6 sin(19 t + 14/3) + 2/5 sin(20 t + 18/5) + 7/3 sin(21 t + 14/3) + 13/5 sin(23 t + 7/4) + 6/5 sin(25 t + 7/5) + 41/10 sin(26 t + 8/5) + 28/5 sin(27 t + 8/5) + 1/3 sin(28 t + 4/5) + 29/4 sin(29 t + 8/5) + 16/3 sin(30 t + 8/5) + 22/3 sin(31 t + 8/5) + 15/4 sin(33 t + 5/3) + 1/2 sin(35 t + 4/3) + 1/8 sin(36 t + 11/3) + 7/6 sin(37 t + 3/2) + 1/2 sin(38 t + 14/3) + 15/8 sin(39 t + 8/5) + 9/5 sin(41 t + 8/5) + 3/2 sin(43 t + 5/3) + sin(45 t + 14/3) + 3/4 sin(46 t + 23/5) + 5/6 sin(49 t + 7/4) + 5/4 sin(53 t + 5/3) + 5/4 sin(56 t + 5/3) + 1/3 sin(57 t + 5/4) + 14/13 sin(58 t + 5/3) + sin(59 t + 8/5) + 1/4 sin(60 t + 2) + 1/5 sin(62 t + 22/5) + 2/5 sin(63 t + 7/4) - 5228/5) θ(127 π - t) θ(t - 123 π) + (-14/13 sin(3/2 - 42 t) - 4/5 sin(3/2 - 41 t) - 1/14 sin(3/4 - 39 t) - 3/2 sin(3/2 - 38 t) - 17/8 sin(3/2 - 37 t) - 1/2 sin(7/5 - 36 t) - 1/4 sin(7/5 - 35 t) - 3/4 sin(3/2 - 32 t) - 11/6 sin(7/5 - 30 t) - 9/4 sin(3/2 - 29 t) - 17/4 sin(3/2 - 27 t) - 11/4 sin(3/2 - 22 t) - 1/2 sin(5/4 - 20 t) - 46/3 sin(3/2 - 18 t) - 22/5 sin(3/2 - 15 t) - 27/4 sin(8/5 - 13 t) - 67/4 sin(3/2 - 10 t) - 433/16 sin(8/5 - 9 t) - 193/6 sin(8/5 - 4 t) - 466/3 sin(8/5 - t) + 2212/11 sin(2 t + 8/5) + 696/5 sin(3 t + 8/5) + 14/3 sin(5 t + 8/5) + 347/4 sin(6 t + 8/5) + 154/3 sin(7 t + 8/5) + 53/5 sin(8 t + 8/5) + 8/3 sin(11 t + 8/5) + 113/4 sin(12 t + 8/5) + 80/3 sin(14 t + 8/5) + 44/5 sin(16 t + 8/5) + 7/5 sin(17 t + 5/3) + 5/3 sin(19 t + 5/3) + 17/3 sin(21 t + 8/5) + 1/2 sin(23 t + 11/6) + 1/3 sin(24 t + 9/5) + 15/7 sin(25 t + 8/5) + 43/6 sin(26 t + 8/5) + 6/5 sin(28 t + 5/3) + 1/3 sin(31 t + 13/7) + 1/3 sin(33 t + 17/8) + 51/10 sin(34 t + 5/3) + sin(40 t + 5/3) + 8/7 sin(43 t + 5/3) - 1713/4) θ(123 π - t) θ(t - 119 π) + (-12/5 sin(3/2 - 8 t) - 5/2 sin(3/2 - 7 t) - 18/5 sin(3/2 - 4 t) + 13/3 sin(t + 8/5) + 259/3 sin(2 t + 8/5) + 22/5 sin(3 t + 14/3) + 9/8 sin(5 t + 5/3) + 20/3 sin(6 t + 8/5) + 1/2 sin(9 t + 5/3) + 15/4 sin(10 t + 8/5) + 3/4 sin(11 t + 14/3) + 1/3 sin(12 t + 3/2) - 3161/3) θ(119 π - t) θ(t - 115 π) + (-1/3 sin(3/2 - 11 t) - 1/3 sin(3/2 - 8 t) - 8/7 sin(8/5 - 7 t) - 8/9 sin(3/2 - 4 t) + 18/5 sin(t + 14/3) + 127/3 sin(2 t + 8/5) + 1/3 sin(3 t + 9/2) + 3/2 sin(5 t + 5/3) + 19/4 sin(6 t + 8/5) + 7/4 sin(10 t + 8/5) - 2097/2) θ(115 π - t) θ(t - 111 π) + (-5/4 sin(7/5 - 21 t) - 46/3 sin(8/5 - 17 t) - 33/4 sin(3/2 - 15 t) - 35/2 sin(8/5 - 11 t) - 23/5 sin(7/5 - 8 t) + 223/5 sin(t + 8/5) + 116 sin(2 t + 14/3) + 734/3 sin(3 t + 14/3) + 2355/11 sin(4 t + 8/5) + 1493/9 sin(5 t + 8/5) + 47/5 sin(6 t + 3/2) + 203/3 sin(7 t + 8/5) + 77/4 sin(9 t + 3/2) + 202/7 sin(10 t + 8/5) + 10 sin(12 t + 14/3) + 48/5 sin(13 t + 14/3) + 78/7 sin(14 t + 8/5) + 108/5 sin(16 t + 8/5) + 89/5 sin(18 t + 8/5) + 17/4 sin(19 t + 7/5) + 17/2 sin(20 t + 3/2) + 4/3 sin(22 t + 5/3) + 37/9 sin(23 t + 14/3) + 13/5 sin(24 t + 3/2) - 2637/4) θ(111 π - t) θ(t - 107 π) + (-137/5 sin(8/5 - 11 t) - 26 sin(8/5 - t) + 481/2 sin(2 t + 8/5) + 284/5 sin(3 t + 8/5) + 23/4 sin(4 t + 3/2) + 328/7 sin(5 t + 8/5) + 41/3 sin(6 t + 14/3) + 93/5 sin(7 t + 14/3) + 111/8 sin(8 t + 8/5) + 18 sin(9 t + 8/5) + 77/4 sin(10 t + 8/5) + 37/5 sin(12 t + 8/5) + 2158/3) θ(107 π - t) θ(t - 103 π) + (-98/3 sin(8/5 - t) + 321/4 sin(2 t + 8/5) + 121/8 sin(3 t + 8/5) + 63/4 sin(4 t + 14/3) + 1/10 sin(5 t + 13/5) + 19/3 sin(6 t + 14/3) + 86/17 sin(7 t + 8/5) + 21/4 sin(8 t + 14/3) + 1/2 sin(9 t + 8/5) + 5/4 sin(10 t + 8/5) + 23/6 sin(11 t + 8/5) + 7/3 sin(12 t + 8/5) + 2717/4) θ(103 π - t) θ(t - 99 π) + (-68/3 sin(3/2 - 11 t) - 147/5 sin(3/2 - 10 t) + 53/6 sin(t + 8/5) + 7 sin(2 t + 14/3) + 11/3 sin(3 t + 3/2) + 11/2 sin(4 t + 8/5) + 69/4 sin(5 t + 8/5) + 6 sin(6 t + 8/5) + 61/4 sin(7 t + 8/5) + 63/5 sin(8 t + 8/5) + 61/15 sin(9 t + 8/5) + 40/3 sin(12 t + 8/5) + 1051) θ(99 π - t) θ(t - 95 π) + (-259/10 sin(3/2 - 12 t) - 79/6 sin(3/2 - 11 t) - 28/5 sin(8/5 - 9 t) - 42/5 sin(3/2 - 8 t) - 9/10 sin(8/5 - 6 t) - 49/3 sin(8/5 - 5 t) - 397/6 sin(8/5 - 3 t) - 679/5 sin(8/5 - t) + 283/4 sin(2 t + 8/5) + 129/4 sin(4 t + 8/5) + 62/7 sin(7 t + 8/5) + 20 sin(10 t + 8/5) + 3268/3) θ(95 π - t) θ(t - 91 π) + (-5/4 sin(19/18 - 56 t) - 18/5 sin(8/5 - 54 t) - 1/3 sin(1 - 52 t) - 13/7 sin(8/5 - 50 t) - 1/2 sin(4/3 - 49 t) - 14/5 sin(4/3 - 37 t) - 31/4 sin(8/5 - 35 t) - 26/3 sin(8/5 - 34 t) - 17/5 sin(8/5 - 27 t) - 21/5 sin(7/5 - 25 t) - 129/10 sin(8/5 - 24 t) - 113/5 sin(8/5 - 22 t) - 8/7 sin(7/6 - 19 t) - 42/5 sin(3/2 - 15 t) - 59/2 sin(3/2 - 12 t) - 62/5 sin(8/5 - 11 t) - 145/4 sin(8/5 - 9 t) + 3109/6 sin(t + 8/5) + 1722/5 sin(2 t + 8/5) + 3303/13 sin(3 t + 8/5) + 63/2 sin(4 t + 5/3) + 2557/4 sin(5 t + 14/3) + 1581/4 sin(6 t + 8/5) + 385/4 sin(7 t + 3/2) + 118/5 sin(8 t + 5/3) + 279/7 sin(10 t + 14/3) + 153/8 sin(13 t + 14/3) + 79/5 sin(14 t + 14/3) + 769/10 sin(16 t + 8/5) + 6/7 sin(17 t + 3/5) + 19/2 sin(18 t + 5/3) + 36/7 sin(20 t + 3/2) + 41/5 sin(21 t + 8/5) + 17 sin(23 t + 14/3) + 17/2 sin(26 t + 5/3) + 46/3 sin(28 t + 8/5) + 43/3 sin(29 t + 3/2) + 71/4 sin(30 t + 3/2) + 22/3 sin(31 t + 5/3) + 91/6 sin(32 t + 14/3) + 39/8 sin(33 t + 14/3) + 20/3 sin(36 t + 14/3) + 31/10 sin(38 t + 3/2) + 4/3 sin(39 t + 7/5) + 13/6 sin(40 t + 7/5) + 11/2 sin(41 t + 23/5) + 9 sin(42 t + 14/3) + 20/3 sin(43 t + 8/5) + 3/4 sin(44 t + 14/3) + 9/5 sin(45 t + 7/4) + 15/7 sin(46 t + 3/2) + 9/2 sin(47 t + 3/2) + 3/5 sin(48 t + 11/6) + 14/3 sin(51 t + 14/3) + 55/7 sin(53 t + 3/2) + 4/3 sin(55 t + 7/4) + 489) θ(91 π - t) θ(t - 87 π) + (-5/2 sin(11/10 - 23 t) - 23/4 sin(1/4 - 17 t) - 4248/5 sin(8/5 - 5 t) + 185/4 sin(t + 14/3) + 187/5 sin(2 t + 23/5) + 755/7 sin(3 t + 14/3) + 469/2 sin(4 t + 14/3) + 3657/8 sin(6 t + 8/5) + 1003/6 sin(7 t + 8/5) + 563/5 sin(8 t + 3/2) + 187/2 sin(9 t + 3/2) + 62 sin(10 t + 7/5) + 236/5 sin(11 t + 3/2) + 75/2 sin(12 t + 3/2) + 71/3 sin(13 t + 3/2) + 97/5 sin(14 t + 7/5) + 77/3 sin(15 t + 7/5) + 643/5 sin(16 t + 3/2) + 29/4 sin(18 t + 1) + 10/3 sin(19 t + 3/2) + 17/5 sin(20 t + 9/2) + 7/3 sin(21 t + 13/4) + 2/5 sin(22 t + 15/4) + 25/8 sin(24 t + 1) + 33/4 sin(25 t + 3/2) + 83/7 sin(26 t + 5/3) + 107/3 sin(27 t + 14/3) + 17/4 sin(28 t + 4) + 15/7 sin(29 t + 15/4) + 1/8 sin(30 t + 1/5) + 19/5 sin(31 t + 5/4) - 1777/12) θ(87 π - t) θ(t - 83 π) + (-13/5 sin(3/2 - 34 t) - 27/7 sin(3/2 - 33 t) - 5 sin(3/2 - 31 t) - 19/18 sin(3/2 - 30 t) - 6 sin(3/2 - 26 t) - 33/4 sin(3/2 - 24 t) - 7 sin(3/2 - 23 t) - 5/4 sin(5/4 - 22 t) - 13/3 sin(3/2 - 21 t) - 17 sin(3/2 - 19 t) - 332/9 sin(3/2 - 12 t) - 64/9 sin(3/2 - 11 t) - 29/10 sin(5/4 - 10 t) - 136/15 sin(3/2 - 9 t) - 449/5 sin(8/5 - 7 t) - 67/5 sin(3/2 - 4 t) - 74/5 sin(8/5 - 3 t) - 439/4 sin(8/5 - t) + 99/2 sin(2 t + 8/5) + 431/3 sin(5 t + 8/5) + 3088/7 sin(6 t + 8/5) + 79/3 sin(8 t + 8/5) + 28/5 sin(13 t + 3/2) + 9/5 sin(14 t + 14/3) + 14/3 sin(15 t + 14/3) + 33/5 sin(16 t + 5/3) + 101/4 sin(17 t + 5/3) + 81/5 sin(18 t + 5/3) + 17/3 sin(20 t + 5/3) + 59/10 sin(25 t + 8/5) + 12/5 sin(27 t + 8/5) + 6 sin(28 t + 5/3) + 63/8 sin(29 t + 5/3) + 13/5 sin(32 t + 5/3) + 830) θ(83 π - t) θ(t - 79 π) + (27/4 sin(t + 7/5) + 2437/12 sin(2 t + 8/5) + 82/3 sin(3 t + 7/5) + 413/4 sin(4 t + 8/5) + 206/5 sin(5 t + 14/3) + 125/6 sin(6 t + 14/3) + 131/4 sin(7 t + 3/2) + 109/4 sin(8 t + 3/2) + 115/6 sin(9 t + 14/3) + 8 sin(10 t + 5/3) + 41/7 sin(11 t + 7/5) + 19/10 sin(12 t + 6/5) - 5933/5) θ(79 π - t) θ(t - 75 π) + (-4/3 sin(3/2 - 11 t) - 192/5 sin(3/2 - 6 t) - 1372/5 sin(8/5 - t) + 1107/5 sin(2 t + 8/5) + 1463/8 sin(3 t + 8/5) + 28/5 sin(4 t + 5/3) + 155/3 sin(5 t + 8/5) + 48/5 sin(7 t + 8/5) + 33/5 sin(8 t + 8/5) + 76/5 sin(9 t + 8/5) + 66/5 sin(10 t + 5/3) + 12/11 sin(12 t + 8/5) + 527/5) θ(75 π - t) θ(t - 71 π) + (1/2 sin(t + 3/2) + 47/2 sin(2 t + 8/5) + 5/3 sin(3 t + 8/5) - 2135/3) θ(71 π - t) θ(t - 67 π) + (-1/9 sin(3/2 - 8 t) - 1/11 sin(3/2 - 7 t) - 11/10 sin(8/5 - 6 t) - 4/3 sin(8/5 - 5 t) - 1/3 sin(3/2 - 4 t) + 7/2 sin(t + 8/5) + 114/5 sin(2 t + 8/5) + 2 sin(3 t + 14/3) - 1726/3) θ(67 π - t) θ(t - 63 π) + (-7/5 sin(8/5 - 5 t) - 4/3 sin(3/2 - 4 t) - 15/2 sin(8/5 - 3 t) + 29/3 sin(t + 8/5) + 361/15 sin(2 t + 8/5) + 1/3 sin(6 t + 8/5) - 2674/5) θ(63 π - t) θ(t - 59 π) + (-5/4 sin(3/2 - 6 t) + 16/3 sin(t + 8/5) + 277/6 sin(2 t + 8/5) + 17/4 sin(3 t + 14/3) + 7/4 sin(4 t + 8/5) + 17/4 sin(5 t + 14/3) + 3/4 sin(7 t + 8/5) - 709) θ(59 π - t) θ(t - 55 π) + (-37/5 sin(8/5 - 3 t) + 59/5 sin(t + 8/5) + 195/4 sin(2 t + 8/5) + 4 sin(4 t + 14/3) + 3/2 sin(5 t + 14/3) + 5/2 sin(6 t + 14/3) - 2629/5) θ(55 π - t) θ(t - 51 π) + (-11/4 sin(8/5 - 6 t) - 17/5 sin(8/5 - 4 t) + 7/3 sin(t + 14/3) + 128/3 sin(2 t + 8/5) + 3/4 sin(3 t + 8/5) + 25/12 sin(5 t + 8/5) - 2853/5) θ(51 π - t) θ(t - 47 π) + (-53/13 sin(3/2 - 20 t) - 1/3 sin(7/5 - 19 t) - 67/11 sin(3/2 - 15 t) - 13/2 sin(8/5 - 14 t) - 69/5 sin(3/2 - 11 t) - 37/3 sin(3/2 - 10 t) - 10 sin(3/2 - 6 t) + 23/3 sin(t + 5/3) + 1927/4 sin(2 t + 8/5) + 35/4 sin(3 t + 14/3) + 44 sin(4 t + 8/5) + 129/10 sin(5 t + 8/5) + 41/3 sin(7 t + 14/3) + 83/3 sin(8 t + 8/5) + 34/5 sin(9 t + 5/3) + 5/3 sin(12 t + 8/5) + 32/5 sin(13 t + 8/5) + 5/4 sin(16 t + 23/5) + 8/3 sin(17 t + 8/5) + 7/5 sin(18 t + 14/3) - 2098/5) θ(47 π - t) θ(t - 43 π) + (-5/4 sin(3/2 - 22 t) - 41/8 sin(3/2 - 20 t) - 17/4 sin(3/2 - 19 t) - 4 sin(3/2 - 18 t) - 25/2 sin(3/2 - 13 t) - 7 sin(3/2 - 12 t) - 1/4 sin(1/2 - 11 t) - 89/3 sin(3/2 - 10 t) - 105/8 sin(3/2 - 9 t) - 174/5 sin(8/5 - 4 t) - 619/10 sin(8/5 - t) + 1329/4 sin(2 t + 8/5) + 5/3 sin(3 t + 14/3) + 116/3 sin(5 t + 8/5) + 57/4 sin(6 t + 8/5) + 134/3 sin(7 t + 8/5) + 85/3 sin(8 t + 8/5) + 13/4 sin(14 t + 14/3) + 53/5 sin(15 t + 8/5) + 39/8 sin(16 t + 5/3) + 1/6 sin(17 t + 14/3) + 5/2 sin(21 t + 8/5) - 125/2) θ(43 π - t) θ(t - 39 π) + (-sin(8/5 - 7 t) - 31/6 sin(8/5 - 5 t) - 10/3 sin(8/5 - 4 t) + 13/5 sin(t + 8/5) + 2/5 sin(2 t + 8/5) + 4/3 sin(3 t + 14/3) + 16/5 sin(6 t + 8/5) + 4/3 sin(8 t + 8/5) + 12/11 sin(9 t + 8/5) + 1/3 sin(10 t + 8/5) + 1/3 sin(11 t + 8/5) + 1/3 sin(12 t + 8/5) + 3418/5) θ(39 π - t) θ(t - 35 π) + (-1/9 sin(1 - 10 t) - 7/2 sin(8/5 - 7 t) - 22/3 sin(8/5 - t) + 28/3 sin(2 t + 8/5) + 46/9 sin(3 t + 14/3) + 31/3 sin(4 t + 14/3) + 2 sin(5 t + 14/3) + 5/3 sin(6 t + 14/3) + 17/5 sin(8 t + 8/5) + 31/8 sin(9 t + 8/5) + 18/17 sin(11 t + 3/2) + 8/5 sin(12 t + 8/5) + 2062/3) θ(35 π - t) θ(t - 31 π) + (-1/3 sin(8/5 - 12 t) - 15 sin(8/5 - 2 t) - 25/2 sin(8/5 - t) + 28/3 sin(3 t + 8/5) + 11/3 sin(4 t + 8/5) + 33/5 sin(5 t + 8/5) + sin(6 t + 8/5) + 9/2 sin(7 t + 8/5) + 5/2 sin(8 t + 8/5) + 9/4 sin(9 t + 8/5) + 4/5 sin(10 t + 8/5) + 2/3 sin(11 t + 8/5) + 2913/4) θ(31 π - t) θ(t - 27 π) + (-1/10 sin(3/2 - 11 t) - 1/9 sin(3/2 - 10 t) + 17/3 sin(t + 8/5) + 69/4 sin(2 t + 8/5) + 37/4 sin(3 t + 14/3) + 19/5 sin(4 t + 14/3) + 4/3 sin(5 t + 14/3) + 3/2 sin(6 t + 14/3) + 1/2 sin(7 t + 14/3) + 1/7 sin(8 t + 5/3) + 1/5 sin(9 t + 14/3) + 1/4 sin(12 t + 14/3) + 1517/2) θ(27 π - t) θ(t - 23 π) + (-13/6 sin(3/2 - 11 t) - 4/3 sin(3/2 - 10 t) - 4 sin(8/5 - 8 t) - 12/13 sin(3/2 - 7 t) - 26/3 sin(8/5 - 3 t) - 58/3 sin(8/5 - 2 t) + 145/6 sin(t + 8/5) + 73/3 sin(4 t + 8/5) + 8/5 sin(5 t + 5/3) + 2 sin(6 t + 8/5) + 1/6 sin(9 t + 3/2) + 7/4 sin(12 t + 8/5) + 1559/2) θ(23 π - t) θ(t - 19 π) + (-2/3 sin(8/5 - 11 t) - 2/5 sin(8/5 - 10 t) - 2/3 sin(8/5 - 7 t) - 7/4 sin(8/5 - 6 t) - 14/5 sin(8/5 - 3 t) - 79/5 sin(8/5 - 2 t) + 11/6 sin(t + 8/5) + 3 sin(4 t + 8/5) + 1/15 sin(5 t + 5/3) + 1/3 sin(8 t + 8/5) + 3/5 sin(9 t + 8/5) + 1/7 sin(12 t + 8/5) + 1513/4) θ(19 π - t) θ(t - 15 π) + (-46/3 sin(8/5 - 2 t) + 10 sin(t + 8/5) + 28/3 sin(3 t + 8/5) + 47/8 sin(4 t + 8/5) + 11/4 sin(5 t + 8/5) + 4/3 sin(6 t + 14/3) + 3/4 sin(7 t + 8/5) + 2/3 sin(8 t + 8/5) + 3/5 sin(9 t + 8/5) + 1/4 sin(10 t + 14/3) + 5/4 sin(11 t + 8/5) + 4/5 sin(12 t + 8/5) + 873/2) θ(15 π - t) θ(t - 11 π) + (-6/5 sin(3/2 - 2 t) - 457/3 sin(8/5 - t) + 17/3 sin(3 t + 14/3) + 1/7 sin(4 t + 9/2) + 1/12 sin(5 t + 7/4) + 27/13 sin(6 t + 8/5) + 7/6 sin(7 t + 14/3) + 2/3 sin(8 t + 8/5) + 678) θ(11 π - t) θ(t - 7 π) + (-210 sin(8/5 - t) + 487/6 sin(2 t + 8/5) + 71/7 sin(3 t + 8/5) + 117/5 sin(4 t + 8/5) + 3 sin(5 t + 14/3) + 20/3 sin(6 t + 8/5) + 2 sin(7 t + 14/3) + 1304/3) θ(7 π - t) θ(t - 3 π) + (-3/5 sin(3/2 - 7 t) - 29 sin(8/5 - 4 t) - 147/4 sin(8/5 - 2 t) - 153/4 sin(8/5 - t) + 20/7 sin(3 t + 8/5) + 10/3 sin(5 t + 8/5) + 37/6 sin(6 t + 14/3) + 2818/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-7/6 sin(11/7 - 12 t) - 21/8 sin(11/7 - 10 t) - 19/7 sin(11/7 - 8 t) - 16/5 sin(11/7 - 6 t) - 1/4 sin(9/7 - 5 t) - 45/8 sin(11/7 - 3 t) - 1148/31 sin(11/7 - 2 t) + 972/7 sin(t + 11/7) + 37/8 sin(4 t + 33/7) + 19/9 sin(7 t + 11/7) + 14/9 sin(9 t + 11/7) + 5/6 sin(11 t + 8/5) + 519/4) θ(107 π - t) θ(t - 103 π) + (-7/6 sin(14/9 - 10 t) - 27/4 sin(11/7 - 8 t) - 7/5 sin(14/9 - 7 t) - 28/3 sin(11/7 - 6 t) - 29/3 sin(11/7 - 5 t) + 28 sin(t + 11/7) + 24/5 sin(2 t + 11/7) + 157/7 sin(3 t + 8/5) + 358/5 sin(4 t + 8/5) + 29/6 sin(9 t + 8/5) + 5/2 sin(11 t + 8/5) + 7/2 sin(12 t + 8/5) - 71/4) θ(103 π - t) θ(t - 99 π) + (41/5 sin(t + 11/7) + 180/7 sin(2 t + 11/7) + 58/9 sin(3 t + 33/7) + 33/4 sin(4 t + 11/7) + 1/7 sin(5 t + 37/8) + 6/7 sin(6 t + 8/5) + 6/5 sin(7 t + 8/5) + 3/2 sin(8 t + 8/5) + 3/8 sin(9 t + 14/3) + 10/7 sin(10 t + 8/5) + 1/4 sin(11 t + 14/3) + 1/2 sin(12 t + 8/5) - 1475/8) θ(99 π - t) θ(t - 95 π) + (-22/5 sin(11/7 - 9 t) - 33/7 sin(11/7 - 8 t) - 23/7 sin(11/7 - 6 t) - 19/5 sin(11/7 - 5 t) - 191/12 sin(11/7 - 2 t) + 1954/17 sin(t + 11/7) + 7/3 sin(3 t + 11/7) + 31/7 sin(4 t + 33/7) + 19/3 sin(7 t + 8/5) + 9/4 sin(10 t + 8/5) + 8/5 sin(11 t + 11/7) + 6/5 sin(12 t + 11/7) + 784/3) θ(95 π - t) θ(t - 91 π) + (-35/12 sin(11/7 - 11 t) - 4/3 sin(11/7 - 8 t) - 27/11 sin(11/7 - 7 t) - 5/3 sin(11/7 - 6 t) - 28/5 sin(11/7 - 3 t) - 40/7 sin(11/7 - 2 t) + 1/3 sin(t + 14/9) + 1/6 sin(4 t + 13/9) + 4/3 sin(5 t + 33/7) + 13/4 sin(9 t + 8/5) + 25/3 sin(10 t + 8/5) + 11/7 sin(12 t + 8/5) - 1117/9) θ(91 π - t) θ(t - 87 π) + (-19/6 sin(11/7 - 6 t) - 32/7 sin(11/7 - 3 t) + 13/7 sin(t + 11/7) + 1/4 sin(2 t + 8/5) + 8/3 sin(4 t + 11/7) + 17/7 sin(5 t + 11/7) + 19/18 sin(7 t + 33/7) + 16/5 sin(8 t + 11/7) + 31/10 sin(9 t + 11/7) + 13/3 sin(10 t + 33/7) + 21/5 sin(11 t + 33/7) + 29/6 sin(12 t + 11/7) + 362/5) θ(87 π - t) θ(t - 83 π) + (-120/11 sin(11/7 - 6 t) - 61/8 sin(14/9 - 5 t) - 428/9 sin(11/7 - 4 t) - 397/8 sin(11/7 - t) + 223/5 sin(2 t + 11/7) + 98/5 sin(3 t + 11/7) + 34/7 sin(7 t + 8/5) + 37/4 sin(8 t + 8/5) + 58/7 sin(9 t + 8/5) + 13/6 sin(10 t + 5/3) + 36/5 sin(11 t + 8/5) + 8/9 sin(12 t + 9/5) + 25/7 sin(13 t + 8/5) + 5/8 sin(14 t + 12/7) + 6/5 sin(15 t + 13/8) + 1/8 sin(16 t + 15/4) + 9/5 sin(17 t + 8/5) + 3/5 sin(18 t + 12/7) + 9/4 sin(19 t + 8/5) + 6/7 sin(20 t + 5/3) + 9/7 sin(21 t + 8/5) + 4/7 sin(22 t + 12/7) - 1653/14) θ(83 π - t) θ(t - 79 π) + (-88/5 sin(11/7 - 5 t) - 648/11 sin(11/7 - 4 t) + 143/6 sin(t + 11/7) + 119/3 sin(2 t + 33/7) + 177/2 sin(3 t + 11/7) + 14/15 sin(6 t + 14/3) + 175/9 sin(7 t + 8/5) + 47/4 sin(8 t + 8/5) + 157/9 sin(9 t + 8/5) + 46/5 sin(10 t + 8/5) + 47/8 sin(11 t + 8/5) + sin(12 t + 41/9) + 26/5 sin(13 t + 8/5) + 1/9 sin(14 t + 17/6) + 11/10 sin(15 t + 13/8) + 1/8 sin(16 t + 9/5) + 2/3 sin(17 t + 8/5) + 1/2 sin(18 t + 14/3) + 11/6 sin(19 t + 8/5) + 2/3 sin(20 t + 5/3) + 8/5 sin(21 t + 8/5) + 439/10) θ(79 π - t) θ(t - 75 π) + (-3/2 sin(3/2 - 11 t) - 2/5 sin(3/2 - 10 t) - 3/5 sin(11/7 - 6 t) - 34/7 sin(11/7 - 5 t) - 82/3 sin(11/7 - t) + 376/7 sin(2 t + 8/5) + 153/8 sin(3 t + 8/5) + 25/4 sin(4 t + 8/5) + 27/7 sin(7 t + 8/5) + 1/2 sin(8 t + 5/3) + 12/7 sin(9 t + 8/5) + 3/8 sin(12 t + 12/7) - 283/7) θ(75 π - t) θ(t - 71 π) + (-13/6 sin(11/7 - 12 t) - 13/8 sin(11/7 - 9 t) - 10/3 sin(11/7 - 7 t) - 33/5 sin(11/7 - 6 t) - 184/5 sin(11/7 - 3 t) + 208/5 sin(t + 11/7) + 217/5 sin(2 t + 11/7) + 18/5 sin(4 t + 11/7) + 13/4 sin(5 t + 11/7) + 13/5 sin(8 t + 11/7) + 1/3 sin(10 t + 16/11) + 5/9 sin(11 t + 14/9) + 1301/7) θ(71 π - t) θ(t - 67 π) + (-17/6 sin(11/7 - 9 t) - 314/7 sin(11/7 - t) + 1313/6 sin(2 t + 11/7) + 251/18 sin(3 t + 11/7) + 25/6 sin(4 t + 8/5) + 37/5 sin(5 t + 33/7) + 621/31 sin(6 t + 11/7) + 32/7 sin(7 t + 11/7) + 17/5 sin(8 t + 11/7) + 49/9 sin(10 t + 11/7) + 13/7 sin(11 t + 11/7) + 23/9 sin(12 t + 14/9) - 7) θ(67 π - t) θ(t - 63 π) + (-7/8 sin(7/5 - 55 t) - 9/4 sin(16/11 - 48 t) - 13/6 sin(3/2 - 42 t) - 4/3 sin(17/11 - 36 t) - 4/5 sin(7/5 - 35 t) - 1/2 sin(11/8 - 34 t) - 8/5 sin(13/9 - 30 t) - 5/4 sin(3/2 - 29 t) - 13/5 sin(3/2 - 25 t) - 61/4 sin(3/2 - 23 t) - 37/6 sin(3/2 - 21 t) - 49/4 sin(3/2 - 20 t) - 23/6 sin(7/5 - 19 t) - 26/5 sin(17/11 - 15 t) - 17/4 sin(14/9 - 12 t) - 31/9 sin(3/2 - 11 t) - 23/11 sin(11/7 - 3 t) - 39/8 sin(11/7 - 2 t) - 46/7 sin(11/7 - t) + 1/11 sin(4 t + 12/7) + 16/3 sin(5 t + 8/5) + 15/2 sin(6 t + 8/5) + 23/5 sin(7 t + 8/5) + 49/5 sin(8 t + 8/5) + 9/8 sin(9 t + 5/3) + 7/4 sin(10 t + 8/5) + 36/5 sin(13 t + 8/5) + 1/16 sin(14 t + 9/2) + 25/13 sin(16 t + 5/3) + 103/7 sin(17 t + 13/8) + 19/6 sin(18 t + 14/3) + 111/16 sin(22 t + 11/7) + 2/5 sin(24 t + 1/9) + 1/4 sin(26 t + 2) + 12/5 sin(27 t + 5/3) + 12/5 sin(28 t + 5/3) + 1/3 sin(31 t + 13/8) + sin(32 t + 5/3) + 7/5 sin(33 t + 12/7) + 6/5 sin(37 t + 8/5) + 1/8 sin(38 t + 17/4) + 10/7 sin(39 t + 5/3) + 5/6 sin(40 t + 7/4) + 3/8 sin(41 t + 14/9) + 7/5 sin(43 t + 5/3) + 1/2 sin(44 t + 15/8) + 6/5 sin(45 t + 12/7) + 5/9 sin(46 t + 15/8) + 8/7 sin(47 t + 13/8) + 1/18 sin(49 t + 1/3) + 1/16 sin(50 t + 27/8) + 1/6 sin(51 t + 3/2) + 1/3 sin(52 t + 19/10) + 9/5 sin(53 t + 12/7) + 1/6 sin(54 t + 31/7) + 1/14 sin(56 t + 13/6) + sin(57 t + 7/4) + 1/7 sin(58 t + 37/9) + 7/6 sin(59 t + 12/7) + 5/9 sin(60 t + 21/11) - 1377/5) θ(63 π - t) θ(t - 59 π) + (-21/10 sin(14/9 - 20 t) - 1/40 sin(3/7 - 19 t) - 2/7 sin(3/2 - 17 t) - 5/3 sin(14/9 - 12 t) - 2/3 sin(10/7 - 11 t) - 14/5 sin(17/11 - 10 t) - 3/5 sin(16/11 - 9 t) - 12/5 sin(11/7 - 8 t) - 128/9 sin(11/7 - 6 t) - 60/11 sin(11/7 - 5 t) - 5/2 sin(16/11 - 3 t) - 1631/8 sin(11/7 - 2 t) - 1005/7 sin(11/7 - t) + 47/9 sin(4 t + 11/7) + 16/17 sin(7 t + 8/5) + 27/26 sin(13 t + 8/5) + 1/3 sin(14 t + 37/8) + 5/9 sin(15 t + 14/3) + 3/7 sin(16 t + 33/7) + 7/5 sin(18 t + 8/5) + 5/6 sin(21 t + 8/5) + 245/2) θ(59 π - t) θ(t - 55 π) + (-12/7 sin(11/7 - 8 t) - 37/3 sin(11/7 - 4 t) - 231/8 sin(11/7 - 2 t) + 670/7 sin(t + 33/7) + 706/9 sin(3 t + 11/7) + 23/6 sin(5 t + 33/7) + 10/3 sin(6 t + 14/3) + 38/11 sin(7 t + 11/7) + 64/5 sin(9 t + 8/5) + 61/12 sin(10 t + 8/5) + 63/16 sin(11 t + 11/7) + 9/7 sin(12 t + 8/5) + 1/5 sin(13 t + 7/4) + 7/3 sin(14 t + 33/7) + 7/2 sin(15 t + 8/5) + 17/5 sin(16 t + 8/5) + 31/9 sin(17 t + 8/5) + 25/12 sin(18 t + 8/5) + 1027/2) θ(55 π - t) θ(t - 51 π) + (-19/10 sin(17/11 - 49 t) - sin(13/9 - 47 t) - 11/6 sin(10/7 - 46 t) - 7/6 sin(3/2 - 43 t) - 22/9 sin(16/11 - 40 t) - 7/5 sin(10/7 - 30 t) - 19/3 sin(3/2 - 29 t) - 7/4 sin(16/11 - 28 t) - 19/7 sin(14/9 - 26 t) - 26/7 sin(3/2 - 21 t) - sin(7/5 - 20 t) - 16/15 sin(3/2 - 19 t) - 13/5 sin(16/11 - 14 t) - 255/16 sin(14/9 - 13 t) - 69/4 sin(14/9 - 12 t) - 79/5 sin(11/7 - 10 t) - 41/20 sin(17/11 - 9 t) - 477/17 sin(11/7 - 7 t) - 109/5 sin(11/7 - 6 t) - 1279/10 sin(11/7 - 2 t) - 1387/3 sin(11/7 - t) + 627/5 sin(3 t + 11/7) + 63/2 sin(4 t + 33/7) + 158/3 sin(5 t + 8/5) + 119/8 sin(8 t + 11/7) + 37/4 sin(11 t + 8/5) + 11/10 sin(15 t + 3/2) + 6/7 sin(16 t + 2) + 50/3 sin(17 t + 8/5) + 1/5 sin(18 t + 45/11) + 5/6 sin(22 t + 8/5) + 10/9 sin(23 t + 14/3) + 23/12 sin(24 t + 13/8) + 6/5 sin(25 t + 8/5) + 3/4 sin(27 t + 10/7) + 4/5 sin(31 t + 8/5) + 3/7 sin(32 t + 14/3) + 10/9 sin(33 t + 5/3) + 7/4 sin(34 t + 5/3) + 5/6 sin(35 t + 8/5) + 1/5 sin(36 t + 11/4) + 24/5 sin(37 t + 13/8) + 21/10 sin(38 t + 33/7) + 2/5 sin(39 t + 10/7) + 5/9 sin(41 t + 3/2) + 2/5 sin(42 t + 5/3) + 25/24 sin(44 t + 12/7) + 2/7 sin(45 t + 14/3) + 4/3 sin(48 t + 8/5) + 24/23 sin(50 t + 13/8) + 1739/10) θ(51 π - t) θ(t - 47 π) + (-29/15 sin(3/2 - 23 t) - 83/11 sin(3/2 - 22 t) - 42/5 sin(11/7 - 13 t) - 159/2 sin(11/7 - 5 t) - 214/3 sin(11/7 - 4 t) - 55/2 sin(11/7 - 2 t) + 164/5 sin(t + 11/7) + 989/9 sin(3 t + 8/5) + 51/7 sin(6 t + 8/5) + 391/9 sin(7 t + 8/5) + 461/23 sin(8 t + 8/5) + 293/9 sin(9 t + 8/5) + 221/7 sin(10 t + 8/5) + 69/7 sin(11 t + 8/5) + 17 sin(12 t + 8/5) + 56/11 sin(14 t + 8/5) + 26/9 sin(15 t + 5/3) + 5/11 sin(16 t + 9/5) + 6/5 sin(17 t + 8/5) + 5/8 sin(18 t + 7/4) + 1/4 sin(19 t + 9/5) + 19/6 sin(20 t + 5/3) + 27/8 sin(21 t + 8/5) - 1013/6) θ(47 π - t) θ(t - 43 π) + (-4/3 sin(14/9 - 30 t) - 1/7 sin(3/2 - 27 t) - 14/5 sin(11/7 - 23 t) - 1/4 sin(11/7 - 20 t) - 6 sin(11/7 - 13 t) - 209/8 sin(11/7 - t) + 1547/9 sin(2 t + 11/7) + 161/10 sin(3 t + 33/7) + 255/8 sin(4 t + 8/5) + 216/5 sin(5 t + 11/7) + 2/7 sin(6 t + 14/3) + 118/5 sin(7 t + 33/7) + 17/16 sin(8 t + 11/7) + 109/9 sin(9 t + 8/5) + 127/4 sin(10 t + 8/5) + 14/15 sin(11 t + 8/5) + 6 sin(12 t + 8/5) + 21/5 sin(14 t + 8/5) + 145/24 sin(15 t + 8/5) + 15/4 sin(16 t + 33/7) + 31/7 sin(17 t + 8/5) + 1/5 sin(18 t + 4/3) + 1/5 sin(19 t + 32/7) + 186/37 sin(21 t + 8/5) + 9/10 sin(22 t + 8/5) + 34/7 sin(24 t + 8/5) + 31/15 sin(25 t + 33/7) + 2/5 sin(26 t + 8/5) + 29/15 sin(28 t + 8/5) + 2/7 sin(29 t + 3/2) + 19/9 sin(31 t + 8/5) - 494) θ(43 π - t) θ(t - 39 π) + (-2/5 sin(5/4 - 25 t) - 2 sin(13/9 - 24 t) - 14/13 sin(7/6 - 21 t) - 5/7 sin(8/9 - 19 t) - 7/4 sin(11/7 - 18 t) - 73/6 sin(16/11 - 11 t) - 135/7 sin(14/9 - 10 t) - 535/8 sin(17/11 - 7 t) - 587/14 sin(11/7 - 6 t) - 981/7 sin(11/7 - 4 t) - 2077/8 sin(11/7 - 2 t) - 177/16 sin(13/9 - t) + 294/5 sin(3 t + 11/7) + 289/7 sin(5 t + 11/7) + 147/8 sin(8 t + 13/8) + 1551/25 sin(9 t + 13/8) + 28/5 sin(12 t + 33/7) + 19/8 sin(13 t + 3/2) + 79/13 sin(14 t + 12/7) + 83/7 sin(15 t + 5/3) + 26/5 sin(16 t + 12/7) + 41/4 sin(17 t + 5/3) + 2/3 sin(20 t + 50/11) + 7/2 sin(22 t + 7/4) + 91/9 sin(23 t + 12/7) + 19/4 sin(26 t + 7/4) + 13/4 sin(27 t + 5/3) + 5/8 sin(28 t + 14/3) + 5/4 sin(29 t + 5/3) + 1/3 sin(30 t + 32/7) + 6/5 sin(31 t + 5/3) + 247/8) θ(39 π - t) θ(t - 35 π) + (-48/5 sin(11/7 - 19 t) - 10 sin(11/7 - 17 t) - 45/8 sin(11/7 - 14 t) - 137/11 sin(11/7 - 13 t) - 34/3 sin(11/7 - 11 t) - 52/7 sin(11/7 - 9 t) - 409/12 sin(11/7 - 7 t) - 1618/13 sin(11/7 - 3 t) + 2606/5 sin(t + 11/7) + 1663/7 sin(2 t + 11/7) + 65/11 sin(4 t + 14/3) + 101/4 sin(5 t + 33/7) + 1/4 sin(6 t + 18/5) + 17/3 sin(8 t + 8/5) + 35/4 sin(10 t + 33/7) + 33/5 sin(12 t + 8/5) + 3/2 sin(15 t + 8/5) + 33/4 sin(16 t + 33/7) + 50/11 sin(18 t + 8/5) + 1/6 sin(20 t + 49/11) + 83/21 sin(21 t + 11/7) + 31/8 sin(22 t + 8/5) - 2000/7) θ(35 π - t) θ(t - 31 π) + (-11/7 sin(14/9 - 25 t) - 17/5 sin(17/11 - 22 t) - 1/10 sin(11/7 - 21 t) - 1/11 sin(3/2 - 20 t) - 11/7 sin(11/7 - 19 t) - 24/5 sin(11/7 - 16 t) - 43/6 sin(11/7 - 15 t) - 145/9 sin(11/7 - 11 t) - 22/9 sin(11/7 - 10 t) - 63/5 sin(11/7 - 7 t) - 44/7 sin(11/7 - 6 t) - 37/6 sin(11/7 - 5 t) - 87/8 sin(11/7 - 4 t) - 170/7 sin(11/7 - 3 t) - 2759/23 sin(11/7 - t) + 299/4 sin(2 t + 11/7) + 61/7 sin(8 t + 33/7) + 401/16 sin(9 t + 8/5) + 89/18 sin(12 t + 11/7) + 14/9 sin(13 t + 13/8) + 43/8 sin(14 t + 8/5) + 18/7 sin(17 t + 8/5) + 10/3 sin(18 t + 8/5) + 1/20 sin(23 t + 14/3) + 1/3 sin(24 t + 17/11) + 4/9 sin(26 t + 13/8) + sin(27 t + 13/8) + 8/9 sin(28 t + 8/5) - 757/3) θ(31 π - t) θ(t - 27 π) + (-13/6 sin(3/2 - 22 t) - 6/5 sin(3/2 - 21 t) - 14/5 sin(14/9 - 9 t) - 431/6 sin(11/7 - 6 t) - 319/7 sin(14/9 - 5 t) - 101/3 sin(11/7 - 4 t) - 643/7 sin(11/7 - t) + 2408/11 sin(2 t + 8/5) + 205/4 sin(3 t + 8/5) + 361/10 sin(7 t + 8/5) + 16/3 sin(8 t + 14/3) + 126/5 sin(10 t + 8/5) + 141/4 sin(11 t + 13/8) + 479/12 sin(12 t + 8/5) + 2/5 sin(13 t + 3) + 62/5 sin(14 t + 13/8) + 13 sin(15 t + 5/3) + 13/6 sin(16 t + 7/4) + 37/5 sin(17 t + 13/8) + 8/5 sin(18 t + 11/6) + 17/4 sin(19 t + 5/3) + 10/3 sin(20 t + 5/3) + 2/7 sin(23 t + 21/8) + 59/8 sin(24 t + 5/3) + 3/7 sin(25 t + 17/4) + 1/5 sin(26 t + 15/14) - 1300/7) θ(27 π - t) θ(t - 23 π) + (1161/29 sin(t + 11/7) + 125 sin(2 t + 33/7) + 106/15 sin(3 t + 14/3) + 18/5 sin(4 t + 14/3) + 79/4 sin(5 t + 33/7) + 42/5 sin(6 t + 33/7) + 3/5 sin(7 t + 37/8) + 5/7 sin(8 t + 11/7) + 11/3 sin(9 t + 33/7) + 33/10 sin(10 t + 33/7) + 2 sin(11 t + 11/7) + 17/5 sin(12 t + 33/7) + 529/7) θ(23 π - t) θ(t - 19 π) + (-7/3 sin(11/7 - 11 t) - 14/9 sin(14/9 - 10 t) - 13/3 sin(11/7 - 8 t) - 211/14 sin(11/7 - 6 t) - 71/3 sin(11/7 - 5 t) - 403/7 sin(11/7 - 3 t) - 360/7 sin(11/7 - 2 t) + 680/7 sin(t + 11/7) + 82/7 sin(4 t + 8/5) + 26/7 sin(7 t + 33/7) + 11/4 sin(9 t + 8/5) + 8/3 sin(12 t + 8/5) - 423) θ(19 π - t) θ(t - 15 π) + (-8/9 sin(14/9 - 25 t) - 2/3 sin(3/2 - 24 t) - 10/7 sin(14/9 - 23 t) - 11/7 sin(14/9 - 17 t) - 2/5 sin(3/2 - 16 t) - 55/27 sin(14/9 - 15 t) - 2/3 sin(14/9 - 9 t) - 10/7 sin(14/9 - 8 t) - 101/5 sin(11/7 - 4 t) - 135/7 sin(11/7 - 3 t) - 494/5 sin(11/7 - 2 t) + 1122/5 sin(t + 11/7) + 19/5 sin(5 t + 8/5) + 5/6 sin(6 t + 14/3) + 1/11 sin(7 t + 7/4) + 13/4 sin(10 t + 11/7) + 10/3 sin(11 t + 8/5) + 53/9 sin(12 t + 8/5) + 9/4 sin(13 t + 8/5) + 11/5 sin(14 t + 8/5) + 13/6 sin(18 t + 8/5) + 13/8 sin(19 t + 8/5) + 10/3 sin(20 t + 8/5) + 6/7 sin(21 t + 11/7) + 4/7 sin(22 t + 11/7) + 473/5) θ(15 π - t) θ(t - 11 π) + (-62/5 sin(14/9 - 19 t) - 93/8 sin(14/9 - 18 t) - 71/13 sin(11/7 - 14 t) - 41/6 sin(11/7 - 13 t) - 12/5 sin(11/7 - 12 t) - 58/9 sin(11/7 - 11 t) - 41/8 sin(17/11 - 10 t) - 358/13 sin(11/7 - 9 t) - 244/5 sin(11/7 - 5 t) - 344/5 sin(11/7 - 2 t) + 79 sin(t + 11/7) + 566/5 sin(3 t + 11/7) + 43/2 sin(4 t + 11/7) + 760/11 sin(6 t + 8/5) + 53/5 sin(7 t + 33/7) + 2/5 sin(8 t + 7/5) + 88/5 sin(15 t + 8/5) + 83/6 sin(16 t + 8/5) + 19/7 sin(17 t + 8/5) + 1/25 sin(20 t + 6/5) + 44/7 sin(21 t + 8/5) + 27/5 sin(22 t + 8/5) + 433/7) θ(11 π - t) θ(t - 7 π) + (-27/5 sin(11/7 - 19 t) - 23/4 sin(11/7 - 17 t) + 1136/7 sin(t + 11/7) + 121/7 sin(2 t + 8/5) + 1249/5 sin(3 t + 33/7) + 366/7 sin(4 t + 33/7) + 101/7 sin(5 t + 33/7) + sin(6 t + 31/7) + 13/3 sin(7 t + 33/7) + 194/7 sin(8 t + 11/7) + 363/14 sin(9 t + 33/7) + 10/7 sin(10 t + 23/5) + 32/5 sin(11 t + 33/7) + 36/5 sin(12 t + 14/3) + 38/9 sin(13 t + 11/7) + 23/8 sin(14 t + 11/7) + 5/7 sin(15 t + 11/7) + 9/5 sin(16 t + 14/9) + 25/7 sin(18 t + 8/5) + 14/3 sin(20 t + 11/7) + 9/7 sin(21 t + 3/2) + 1/30 sin(22 t + 1/3) + 17/8 sin(23 t + 8/5) + 11/6 sin(24 t + 33/7) - 15961/24) θ(7 π - t) θ(t - 3 π) + (-13/7 sin(3/2 - 13 t) + 94/3 sin(t + 11/7) + 1127/4 sin(2 t + 11/7) + 528/7 sin(3 t + 11/7) + 161/8 sin(4 t + 11/7) + 637/11 sin(5 t + 33/7) + 91/4 sin(6 t + 8/5) + 45/7 sin(7 t + 11/7) + 74/7 sin(8 t + 8/5) + 82/3 sin(9 t + 33/7) + 19/7 sin(10 t + 8/5) + 4/3 sin(11 t + 3/2) + 16/3 sin(12 t + 33/7) + 19/7 sin(14 t + 11/7) + 47/4 sin(15 t + 33/7) + 19/5 sin(16 t + 11/7) + 161/40 sin(17 t + 11/7) + 17/4 sin(18 t + 14/3) + 11/4 sin(19 t + 14/3) + 61/15 sin(20 t + 11/7) - 2523/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-3/5 sin(3/2 - 11 t) - 19/7 sin(11/7 - 10 t) - 5/2 sin(11/7 - 8 t) - 18/5 sin(11/7 - 7 t) - 73/5 sin(11/7 - 5 t) - 117/5 sin(11/7 - 3 t) - 122/3 sin(11/7 - 2 t) - 1145/9 sin(11/7 - t) + 78/11 sin(4 t + 11/7) + 27/11 sin(6 t + 11/7) + 1/2 sin(9 t + 11/7) + 2986/7) θ(107 π - t) θ(t - 103 π) + (-sin(3/2 - 12 t) - 54/5 sin(11/7 - 9 t) - 127/8 sin(11/7 - 5 t) - 452/7 sin(11/7 - t) + 199/18 sin(2 t + 11/7) + 33/17 sin(3 t + 8/5) + 334/7 sin(4 t + 11/7) + 2/3 sin(6 t + 13/9) + 12/5 sin(7 t + 8/5) + 5/6 sin(8 t + 17/11) + 1/4 sin(10 t + 11/8) + 13/6 sin(11 t + 33/7) - 7988/5) θ(103 π - t) θ(t - 99 π) + (-1/5 sin(3/2 - 8 t) - 19/8 sin(11/7 - 7 t) - 2/5 sin(3/2 - 6 t) - 241/7 sin(11/7 - t) + 60/11 sin(2 t + 8/5) + 244/9 sin(3 t + 11/7) + 3/2 sin(4 t + 13/8) + 18/5 sin(5 t + 11/7) + 8/5 sin(9 t + 8/5) + 1/7 sin(10 t + 7/4) + 13/8 sin(11 t + 8/5) + 1/21 sin(12 t + 11/6) + 1567/3) θ(99 π - t) θ(t - 95 π) + (-42/5 sin(11/7 - 11 t) - 9 sin(11/7 - 9 t) - 29/7 sin(14/9 - 8 t) - 60/7 sin(11/7 - 6 t) - 247/5 sin(11/7 - 2 t) - 3959/30 sin(11/7 - t) + 38/3 sin(3 t + 33/7) + 100/11 sin(4 t + 33/7) + 95/9 sin(5 t + 33/7) + 7 sin(7 t + 8/5) + 53/7 sin(10 t + 8/5) + 17/6 sin(12 t + 8/5) + 3181/6) θ(95 π - t) θ(t - 91 π) + (-7/2 sin(11/7 - 11 t) - 29/6 sin(11/7 - 10 t) - 30/7 sin(11/7 - 2 t) - 17/6 sin(11/7 - t) + 11/4 sin(3 t + 8/5) + 1/3 sin(4 t + 37/8) + 10/7 sin(5 t + 8/5) + 15/7 sin(6 t + 8/5) + 11/5 sin(7 t + 8/5) + 133/22 sin(8 t + 8/5) + 48/7 sin(9 t + 8/5) + 15/8 sin(12 t + 11/7) + 1259/4) θ(91 π - t) θ(t - 87 π) + (-16/7 sin(11/7 - 10 t) - 32/5 sin(11/7 - 9 t) - 1/2 sin(11/7 - 5 t) - 9/4 sin(11/7 - 2 t) + 23/12 sin(t + 11/7) + 1/4 sin(3 t + 14/9) + 32/11 sin(4 t + 11/7) + 4/9 sin(6 t + 11/7) + 15/7 sin(7 t + 11/7) + 2 sin(8 t + 11/7) + 31/4 sin(11 t + 11/7) + 27/5 sin(12 t + 11/7) + 1555/6) θ(87 π - t) θ(t - 83 π) + (-52/7 sin(14/9 - 8 t) - 94/7 sin(11/7 - 7 t) - 103/7 sin(11/7 - 6 t) - 67/5 sin(11/7 - 5 t) - 225/11 sin(11/7 - 4 t) - 476/9 sin(11/7 - 2 t) - 327/5 sin(11/7 - t) + 961/12 sin(3 t + 11/7) + 7/4 sin(9 t + 3/2) + 15/8 sin(10 t + 33/7) + 3/2 sin(11 t + 14/9) + sin(12 t + 5/3) + 3/2 sin(13 t + 8/5) + 5/4 sin(14 t + 8/5) + 8/7 sin(15 t + 13/8) + 1/5 sin(16 t + 21/11) + 1/2 sin(17 t + 11/7) + 2/7 sin(18 t + 23/5) + 1/2 sin(19 t + 5/3) + 1/23 sin(20 t + 19/7) + 4/9 sin(21 t + 11/7) + 2/5 sin(22 t + 12/7) + 4174/11) θ(83 π - t) θ(t - 79 π) + (-20/3 sin(11/7 - 8 t) - 145/12 sin(11/7 - 7 t) - 123/5 sin(11/7 - 6 t) - 446/9 sin(11/7 - 5 t) - 376/5 sin(11/7 - 2 t) - 17/4 sin(11/7 - t) + 107/4 sin(3 t + 11/7) + 287/6 sin(4 t + 11/7) + 2/3 sin(9 t + 3/2) + 9/2 sin(10 t + 8/5) + 21/4 sin(11 t + 8/5) + 46/9 sin(12 t + 8/5) + 3/7 sin(13 t + 11/6) + 17/4 sin(14 t + 8/5) + 1/8 sin(15 t + 19/8) + 8/9 sin(16 t + 13/8) + 2/7 sin(17 t + 41/9) + 4/7 sin(18 t + 5/3) + 6/5 sin(19 t + 8/5) + 7/6 sin(20 t + 8/5) + 1/10 sin(21 t + 13/3) + 856/3) θ(79 π - t) θ(t - 75 π) + (-3/2 sin(11/7 - 12 t) - 7/2 sin(14/9 - 10 t) - 3/2 sin(3/2 - 7 t) - 53/8 sin(11/7 - 6 t) - 43/3 sin(11/7 - 4 t) - 57/2 sin(11/7 - t) + 27/7 sin(2 t + 33/7) + 21 sin(3 t + 8/5) + 10/9 sin(5 t + 13/9) + 8/9 sin(8 t + 5/3) + 1/11 sin(9 t + 1) + 12/11 sin(11 t + 11/7) + 17051/25) θ(75 π - t) θ(t - 71 π) + (-1349/25 sin(11/7 - 2 t) + 103/5 sin(t + 33/7) + 60/7 sin(3 t + 33/7) + 44/5 sin(4 t + 33/7) + 73/9 sin(5 t + 11/7) + 9/7 sin(6 t + 14/3) + 11/5 sin(7 t + 8/5) + 7/6 sin(8 t + 14/3) + 7/2 sin(9 t + 8/5) + 19/7 sin(10 t + 8/5) + 32/9 sin(11 t + 8/5) + 1/5 sin(12 t + 22/5) + 4588/9) θ(71 π - t) θ(t - 67 π) + (631/10 sin(t + 33/7) + 49/11 sin(2 t + 33/7) + 165/8 sin(3 t + 11/7) + 136/7 sin(4 t + 11/7) + 65/7 sin(5 t + 33/7) + 5/2 sin(6 t + 33/7) + 33/7 sin(7 t + 11/7) + 59/9 sin(8 t + 11/7) + 105/26 sin(9 t + 33/7) + 5/7 sin(10 t + 14/3) + 2 sin(11 t + 11/7) + 13/5 sin(12 t + 11/7) - 99/2) θ(67 π - t) θ(t - 63 π) + (-1/18 sin(34/33 - 55 t) - 7/3 sin(7/5 - 54 t) - 5/6 sin(11/8 - 53 t) - 1/6 sin(5/4 - 51 t) - 1/5 sin(7/5 - 50 t) - 7/5 sin(7/5 - 48 t) - 10/3 sin(7/5 - 47 t) - 3/4 sin(6/5 - 46 t) - 31/16 sin(3/2 - 41 t) - 1/5 sin(13/9 - 40 t) - 21/4 sin(3/2 - 35 t) - 8/5 sin(9/7 - 34 t) - 27/7 sin(13/9 - 33 t) - 2/5 sin(1 - 32 t) - 19/6 sin(10/7 - 31 t) - 15/14 sin(6/5 - 30 t) - 181/20 sin(13/9 - 29 t) - 39/8 sin(10/7 - 28 t) - 23/7 sin(16/11 - 27 t) - 33/4 sin(14/9 - 22 t) - 47/7 sin(11/7 - 20 t) - 18/5 sin(7/5 - 19 t) - 40/3 sin(3/2 - 18 t) - 33/8 sin(14/9 - 17 t) - 38/13 sin(11/7 - 14 t) - 17/7 sin(11/7 - 10 t) - 307/34 sin(11/7 - t) + 6/7 sin(2 t + 11/7) + 14/13 sin(3 t + 33/7) + 7/4 sin(4 t + 8/5) + 25/7 sin(5 t + 8/5) + 4/5 sin(6 t + 8/5) + 4/3 sin(7 t + 8/5) + 3/4 sin(8 t + 14/3) + 8/5 sin(9 t + 11/7) + 17/18 sin(11 t + 14/3) + 34/3 sin(12 t + 13/8) + 83/21 sin(13 t + 13/8) + 51/10 sin(15 t + 5/3) + 108/7 sin(16 t + 8/5) + 61/4 sin(21 t + 8/5) + 1/5 sin(23 t + 17/8) + 48/5 sin(24 t + 13/8) + 23/8 sin(25 t + 14/3) + 8/5 sin(26 t + 17/11) + 11/5 sin(36 t + 11/7) + 4/7 sin(37 t + 15/8) + 18/7 sin(38 t + 12/7) + 6/5 sin(39 t + 7/4) + 9/7 sin(42 t + 5/3) + 2/3 sin(43 t + 12/7) + 1/3 sin(44 t + 13/8) + 1/5 sin(45 t + 7/4) + 5/4 sin(49 t + 5/3) + 5/6 sin(52 t + 12/7) + 8/5 sin(56 t + 9/5) + 1/2 sin(57 t + 19/10) + 5/7 sin(58 t + 11/6) + 3/2 sin(59 t + 9/5) + 1/8 sin(60 t + 29/7) + 1654/5) θ(63 π - t) θ(t - 59 π) + (-11/5 sin(11/7 - 15 t) - 125/2 sin(11/7 - 2 t) + 825/4 sin(t + 11/7) + 53 sin(3 t + 11/7) + 293/14 sin(4 t + 8/5) + 153/7 sin(5 t + 8/5) + 4/9 sin(6 t + 11/6) + 5/2 sin(7 t + 8/5) + 51/7 sin(8 t + 8/5) + 8/7 sin(9 t + 14/3) + 113/19 sin(10 t + 8/5) + 13/9 sin(11 t + 33/7) + 94/31 sin(12 t + 8/5) + 19/6 sin(13 t + 8/5) + 17/5 sin(14 t + 8/5) + 15/4 sin(16 t + 8/5) + 7/5 sin(17 t + 8/5) + 3/7 sin(18 t + 23/5) + 17/16 sin(19 t + 8/5) + 5/4 sin(20 t + 5/3) + 5/3 sin(21 t + 8/5) - 29/4) θ(59 π - t) θ(t - 55 π) + (-3/4 sin(11/7 - 14 t) - 9/5 sin(11/7 - 8 t) - 166/15 sin(11/7 - 5 t) - 95/7 sin(11/7 - 4 t) - 346/3 sin(11/7 - 2 t) + 61/2 sin(t + 33/7) + 239/8 sin(3 t + 11/7) + 13/4 sin(6 t + 33/7) + 10/7 sin(7 t + 33/7) + 61/6 sin(9 t + 8/5) + 45/8 sin(10 t + 8/5) + 7/5 sin(11 t + 11/7) + 6/7 sin(12 t + 8/5) + 13/7 sin(13 t + 8/5) + 46/15 sin(15 t + 8/5) + 3 sin(16 t + 11/7) + 9/4 sin(17 t + 11/7) + 11/7 sin(18 t + 11/7) + 8805/31) θ(55 π - t) θ(t - 51 π) + (-23/22 sin(13/9 - 49 t) - 2/7 sin(6/5 - 45 t) - 59/20 sin(3/2 - 44 t) - 3/4 sin(6/5 - 43 t) - 2 sin(3/2 - 42 t) - 33/17 sin(14/9 - 41 t) - 41/14 sin(3/2 - 38 t) - 9/4 sin(7/5 - 37 t) - 73/36 sin(3/2 - 36 t) - 3/7 sin(7/5 - 33 t) - 49/12 sin(3/2 - 32 t) - 2/3 sin(4/3 - 31 t) - 5/3 sin(17/11 - 29 t) - 11/7 sin(14/9 - 26 t) - 40/9 sin(3/2 - 25 t) - 21/4 sin(3/2 - 24 t) - 26/3 sin(14/9 - 18 t) - 191/8 sin(14/9 - 16 t) - 1/5 sin(3/5 - 15 t) - 157/13 sin(11/7 - 12 t) - 262/7 sin(11/7 - 10 t) - 157/7 sin(11/7 - 7 t) - 142/3 sin(11/7 - 6 t) - 708/7 sin(11/7 - 4 t) - 529/8 sin(11/7 - 3 t) - 2031/5 sin(11/7 - 2 t) + 197/8 sin(t + 11/7) + 81/7 sin(5 t + 14/9) + 69/5 sin(8 t + 8/5) + 31/10 sin(9 t + 11/7) + 10/11 sin(11 t + 4/3) + 5/7 sin(13 t + 8/5) + 125/18 sin(14 t + 8/5) + 12/11 sin(17 t + 5/4) + 47/8 sin(19 t + 8/5) + 53/18 sin(20 t + 5/3) + 2/7 sin(21 t + 7/4) + 2/7 sin(22 t + 32/7) + 3/8 sin(23 t + 14/13) + 10/9 sin(27 t + 5/3) + 9/5 sin(28 t + 14/3) + 25/13 sin(30 t + 11/7) + 1/6 sin(34 t + 20/7) + 14/9 sin(35 t + 13/8) + 17/4 sin(39 t + 5/3) + 23/8 sin(40 t + 5/3) + 1/4 sin(46 t + 9/2) + 17/9 sin(47 t + 12/7) + 5/9 sin(48 t + 33/7) + 1583/5) θ(51 π - t) θ(t - 47 π) + (-9/4 sin(11/7 - 23 t) - 10/7 sin(10/7 - 20 t) - 15/7 sin(3/2 - 17 t) - 18/5 sin(3/2 - 14 t) - 58/5 sin(11/7 - 13 t) - 129/5 sin(11/7 - 9 t) - 234/5 sin(11/7 - 7 t) - 141/2 sin(11/7 - 4 t) + 572/7 sin(t + 11/7) + 339/7 sin(2 t + 8/5) + 94/7 sin(3 t + 8/5) + 71/6 sin(5 t + 33/7) + 595/9 sin(6 t + 8/5) + 33/5 sin(8 t + 14/9) + 11/4 sin(10 t + 3/2) + 11/4 sin(11 t + 5/3) + 97/7 sin(12 t + 8/5) + 1/2 sin(15 t + 2) + 29/10 sin(16 t + 8/5) + 10/3 sin(18 t + 8/5) + 13/3 sin(19 t + 13/8) + 6/7 sin(21 t + 14/3) + 50/17 sin(22 t + 8/5) - 2494/3) θ(47 π - t) θ(t - 43 π) + (-5/6 sin(3/2 - 29 t) - 15/14 sin(14/9 - 28 t) - 13/6 sin(11/7 - 24 t) - 8/3 sin(11/7 - 22 t) - 199/33 sin(11/7 - 18 t) - 39/5 sin(11/7 - 12 t) - 3/2 sin(11/7 - 8 t) - 38/3 sin(11/7 - 6 t) - 173/8 sin(11/7 - 5 t) - 653/6 sin(11/7 - 4 t) - 187/7 sin(11/7 - 2 t) - 154/3 sin(11/7 - t) + 226/7 sin(3 t + 11/7) + 4 sin(7 t + 11/7) + 281/20 sin(9 t + 8/5) + 113/16 sin(10 t + 8/5) + 9 sin(11 t + 11/7) + 32/7 sin(13 t + 33/7) + 11/6 sin(14 t + 8/5) + 67/11 sin(15 t + 11/7) + 7/8 sin(16 t + 8/5) + 17/11 sin(17 t + 11/7) + 5/4 sin(19 t + 11/7) + 54/11 sin(20 t + 8/5) + 9/5 sin(21 t + 8/5) + 9/10 sin(23 t + 14/9) + 6/5 sin(25 t + 8/5) + 1/2 sin(26 t + 13/8) + 1/8 sin(27 t + 14/3) + 4/7 sin(30 t + 13/8) + 43/21 sin(31 t + 8/5) - 3876/7) θ(43 π - t) θ(t - 39 π) + (-16/5 sin(13/9 - 27 t) - 16/7 sin(3/2 - 21 t) - 1/3 sin(5/6 - 20 t) - 19/5 sin(3/2 - 19 t) - 5/6 sin(5/4 - 18 t) - 13/8 sin(7/6 - 10 t) - 130/3 sin(3/2 - 9 t) - 469/4 sin(11/7 - t) + 127/7 sin(2 t + 8/5) + 99/4 sin(3 t + 8/5) + 239/9 sin(4 t + 8/5) + 170/7 sin(5 t + 8/5) + 125/8 sin(6 t + 8/5) + 349/12 sin(7 t + 8/5) + 31/4 sin(8 t + 11/7) + 21/2 sin(11 t + 5/3) + 37/2 sin(12 t + 13/8) + 125/7 sin(13 t + 5/3) + 179/10 sin(14 t + 5/3) + 13/12 sin(15 t + 9/5) + 23/7 sin(16 t + 5/3) + 10/3 sin(17 t + 12/7) + 12/5 sin(22 t + 5/3) + 1/8 sin(23 t + 27/8) + 5/2 sin(24 t + 7/4) + 16/3 sin(25 t + 7/4) + 4/5 sin(26 t + 7/4) + 3/4 sin(28 t + 13/8) + 1/3 sin(29 t + 11/5) + 27/8 sin(30 t + 12/7) + 11/5 sin(31 t + 11/6) - 2518/5) θ(39 π - t) θ(t - 35 π) + (-12/5 sin(14/9 - 22 t) - 13/5 sin(14/9 - 20 t) - 76/7 sin(11/7 - 15 t) - 45/7 sin(11/7 - 13 t) - 10/3 sin(14/9 - 11 t) - 5/3 sin(11/7 - 8 t) - 1141/10 sin(11/7 - t) + 978/5 sin(2 t + 11/7) + 73/2 sin(3 t + 11/7) + 299/10 sin(4 t + 11/7) + 143/5 sin(5 t + 11/7) + 132/7 sin(6 t + 11/7) + 13/6 sin(7 t + 11/7) + 101/7 sin(9 t + 11/7) + 52/5 sin(10 t + 8/5) + 19/2 sin(12 t + 11/7) + 29/6 sin(14 t + 8/5) + 61/7 sin(16 t + 8/5) + 4/3 sin(17 t + 11/7) + 22/7 sin(18 t + 14/9) + 19/2 sin(19 t + 8/5) + 2 sin(21 t + 8/5) - 3707/7) θ(35 π - t) θ(t - 31 π) + (-13/6 sin(14/9 - 28 t) - 1/5 sin(14/9 - 26 t) - 1/9 sin(3/2 - 25 t) - 21/8 sin(3/2 - 24 t) - 2 sin(17/11 - 22 t) - 8/5 sin(3/2 - 21 t) - 12/5 sin(17/11 - 19 t) - 24/7 sin(14/9 - 16 t) - 19/4 sin(11/7 - 15 t) - 25/4 sin(11/7 - 13 t) - 59/4 sin(11/7 - 12 t) - 25/7 sin(14/9 - 9 t) - 139/8 sin(11/7 - 8 t) - 57/4 sin(11/7 - 7 t) - 131/7 sin(11/7 - 4 t) - 299/4 sin(11/7 - 3 t) - 1191/10 sin(11/7 - 2 t) - 962/5 sin(11/7 - t) + 25/3 sin(5 t + 33/7) + 69/17 sin(6 t + 8/5) + 17/6 sin(10 t + 8/5) + 56/5 sin(11 t + 8/5) + 53/8 sin(14 t + 8/5) + 13/8 sin(17 t + 33/7) + 10/7 sin(18 t + 8/5) + 13/4 sin(20 t + 8/5) + 1/15 sin(23 t + 33/7) + 4/3 sin(27 t + 13/8) - 5742/5) θ(31 π - t) θ(t - 27 π) + (-71/24 sin(3/2 - 24 t) - 11/3 sin(14/9 - 19 t) - 81/10 sin(16/11 - 18 t) - 29/3 sin(3/2 - 17 t) - 14/3 sin(13/9 - 16 t) - 89/11 sin(3/2 - 15 t) - 123/13 sin(11/7 - 11 t) - 149/8 sin(14/9 - 8 t) - 1060/7 sin(11/7 - 5 t) - 5 sin(6/5 - 4 t) - 469/5 sin(11/7 - 3 t) + 1949/9 sin(t + 11/7) + 1239/8 sin(2 t + 8/5) + 807/7 sin(6 t + 8/5) + 519/14 sin(7 t + 8/5) + 135/7 sin(9 t + 8/5) + 73/2 sin(10 t + 8/5) + 109/9 sin(12 t + 8/5) + 11/5 sin(13 t + 7/4) + 17/7 sin(14 t + 13/8) + 31/4 sin(20 t + 13/8) + 28/11 sin(21 t + 14/3) + 79/13 sin(22 t + 13/8) + 1/4 sin(23 t + 11/5) + 9/7 sin(25 t + 8/5) + 17/7 sin(26 t + 5/3) - 4007/3) θ(27 π - t) θ(t - 23 π) + (-5/6 sin(17/11 - 12 t) + 403/4 sin(t + 11/7) + 187/3 sin(2 t + 11/7) + 527/9 sin(3 t + 33/7) + 613/36 sin(4 t + 33/7) + 273/17 sin(5 t + 33/7) + 83/11 sin(6 t + 11/7) + 35/3 sin(7 t + 33/7) + 95/9 sin(8 t + 11/7) + 44/15 sin(9 t + 11/7) + 6/7 sin(10 t + 11/7) + 1/4 sin(11 t + 11/7) - 23776/13) θ(23 π - t) θ(t - 19 π) + (-49/3 sin(11/7 - 5 t) - 59/12 sin(14/9 - 4 t) - 163/4 sin(11/7 - 3 t) + 515/7 sin(t + 11/7) + 1379/12 sin(2 t + 11/7) + 47/7 sin(6 t + 11/7) + 2/3 sin(7 t + 37/8) + 16/5 sin(8 t + 11/7) + 2/3 sin(9 t + 8/5) + 26/3 sin(10 t + 8/5) + 2/3 sin(11 t + 8/5) + 4/7 sin(12 t + 3/2) - 8999/5) θ(19 π - t) θ(t - 15 π) + (-4/5 sin(11/7 - 24 t) - 8/7 sin(11/7 - 22 t) - 7/5 sin(11/7 - 20 t) - 26/9 sin(11/7 - 19 t) - 31/30 sin(11/7 - 18 t) - 17/6 sin(11/7 - 17 t) - 9/2 sin(11/7 - 11 t) - 11/10 sin(11/7 - 9 t) - 49/5 sin(11/7 - 5 t) - 18 sin(11/7 - 4 t) - 463/14 sin(11/7 - 3 t) + 608/21 sin(t + 11/7) + 97/6 sin(2 t + 11/7) + 43/5 sin(6 t + 8/5) + 29/5 sin(7 t + 8/5) + 67/8 sin(8 t + 8/5) + 16/17 sin(10 t + 11/7) + 2/7 sin(12 t + 13/8) + 31/15 sin(13 t + 33/7) + 24/23 sin(14 t + 8/5) + 11/6 sin(15 t + 33/7) + 1/15 sin(16 t + 11/6) + 2 sin(21 t + 33/7) + 13/8 sin(23 t + 33/7) + 4/3 sin(25 t + 33/7) - 11333/5) θ(15 π - t) θ(t - 11 π) + (-37/7 sin(14/9 - 17 t) - 190/21 sin(14/9 - 16 t) - 71/8 sin(11/7 - 15 t) - 42/5 sin(14/9 - 13 t) - 143/6 sin(11/7 - 12 t) - 81/7 sin(11/7 - 11 t) - 131/4 sin(11/7 - 9 t) - 53/26 sin(3/2 - 8 t) - 279/5 sin(11/7 - 5 t) - 450/7 sin(11/7 - 3 t) - 507/23 sin(11/7 - 2 t) + 453/7 sin(t + 11/7) + 159/4 sin(4 t + 11/7) + 133/8 sin(6 t + 8/5) + 72/5 sin(7 t + 8/5) + 1/5 sin(10 t + 23/5) + 2/5 sin(14 t + 13/9) + 50/7 sin(18 t + 8/5) + 1/7 sin(19 t + 21/5) + 24/5 sin(20 t + 8/5) + 1/29 sin(21 t + 28/9) + 17/4 sin(22 t + 13/8) - 12469/6) θ(11 π - t) θ(t - 7 π) + (-1/4 sin(3/2 - 23 t) - 23/6 sin(11/7 - 19 t) - 5/2 sin(11/7 - 17 t) - 5/8 sin(14/9 - 16 t) - 26 sin(11/7 - 7 t) + 374/5 sin(t + 33/7) + 155/3 sin(2 t + 11/7) + 107/12 sin(3 t + 11/7) + 153/4 sin(4 t + 33/7) + 2/7 sin(5 t + 5/4) + 205/8 sin(6 t + 11/7) + 63/2 sin(8 t + 11/7) + 57/5 sin(9 t + 33/7) + 53/9 sin(10 t + 33/7) + 5/11 sin(11 t + 3/2) + 49/6 sin(12 t + 33/7) + 29/6 sin(13 t + 11/7) + 6/7 sin(14 t + 3/2) + 17/4 sin(15 t + 11/7) + 1/3 sin(18 t + 11/6) + 9/7 sin(20 t + 11/7) + 1/9 sin(21 t + 7/4) + 9/7 sin(22 t + 14/9) + 1/4 sin(24 t + 9/5) - 14870/7) θ(7 π - t) θ(t - 3 π) + (825/7 sin(t + 33/7) + 140/9 sin(2 t + 11/7) + 49 sin(3 t + 11/7) + 203/9 sin(4 t + 11/7) + 164/7 sin(5 t + 11/7) + 77/6 sin(6 t + 33/7) + 645/23 sin(7 t + 11/7) + 135/7 sin(8 t + 11/7) + 12/7 sin(9 t + 11/7) + 47/4 sin(10 t + 11/7) + 33/7 sin(11 t + 33/7) + 145/9 sin(12 t + 11/7) + 11/6 sin(13 t + 14/9) + 10/7 sin(14 t + 8/5) + 16/11 sin(15 t + 11/7) + 21/10 sin(16 t + 11/7) + 141/28 sin(17 t + 11/7) + 13/4 sin(18 t + 33/7) + 22/5 sin(19 t + 11/7) + 8/9 sin(20 t + 11/7) - 14121/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
##スパイロ・ザ・ドラゴン(Spyro Reignited Trilogy)
x(t) = ((-7/5 sin(11/7 - 9 t) - 67/22 sin(11/7 - 7 t) - 71/3 sin(11/7 - 3 t) + 26 sin(t + 11/7) + 287/12 sin(2 t + 8/5) + 7/4 sin(4 t + 8/5) + 3/7 sin(5 t + 8/5) + 4/3 sin(6 t + 11/7) + 1/3 sin(8 t + 8/5) + 5/6 sin(10 t + 33/7) + 5/4 sin(11 t + 33/7) + 1/4 sin(12 t + 11/7) + 2457/5) θ(107 π - t) θ(t - 103 π) + (-8/9 sin(14/9 - 12 t) - 4/5 sin(11/7 - 10 t) - 2/3 sin(3/2 - 9 t) - 5/3 sin(11/7 - 8 t) - 1/5 sin(8/7 - 7 t) - 13/2 sin(11/7 - 6 t) - 64/5 sin(11/7 - 4 t) - 245/8 sin(11/7 - 2 t) - 309/7 sin(11/7 - t) + 132/7 sin(3 t + 8/5) + 52/7 sin(5 t + 11/7) + 2/3 sin(11 t + 8/5) - 550/7) θ(103 π - t) θ(t - 99 π) + (-21/8 sin(11/7 - 25 t) - 37/9 sin(11/7 - 24 t) - 17/2 sin(11/7 - 19 t) - 43/6 sin(14/9 - 18 t) - 37/5 sin(11/7 - 17 t) - 32/9 sin(11/7 - 14 t) - 3/2 sin(11/7 - 13 t) - 131/22 sin(11/7 - 8 t) - 28/5 sin(11/7 - 6 t) - 20/7 sin(11/7 - 5 t) - 95/12 sin(11/7 - 4 t) + 9/4 sin(t + 33/7) + 7/2 sin(2 t + 8/5) + 1/8 sin(3 t + 5/6) + 20/3 sin(7 t + 8/5) + 31/7 sin(9 t + 8/5) + 7/4 sin(10 t + 14/3) + 35/3 sin(11 t + 8/5) + 17/4 sin(12 t + 8/5) + 2/7 sin(15 t + 7/4) + 40/7 sin(16 t + 8/5) + 4 sin(20 t + 8/5) + 47/16 sin(21 t + 33/7) + 6/7 sin(22 t + 33/7) + 35/9 sin(23 t + 8/5) + 2 sin(26 t + 8/5) - 507/4) θ(99 π - t) θ(t - 95 π) + (-1/13 sin(4/3 - 18 t) - 1/7 sin(4/3 - 17 t) - 5/3 sin(11/7 - 15 t) - 16/17 sin(11/7 - 14 t) - 1/3 sin(14/9 - 8 t) - 43/4 sin(11/7 - 5 t) - 53/4 sin(11/7 - 2 t) + 196/15 sin(t + 8/5) + 10/3 sin(3 t + 8/5) + 71/9 sin(4 t + 8/5) + 40/9 sin(6 t + 8/5) + 5/6 sin(7 t + 8/5) + 11/6 sin(9 t + 14/3) + 4 sin(10 t + 8/5) + 23/6 sin(11 t + 8/5) + 22/5 sin(12 t + 8/5) + 1/3 sin(13 t + 23/5) + 3/4 sin(16 t + 11/7) - 3275/6) θ(95 π - t) θ(t - 91 π) + (-6/11 sin(14/9 - 12 t) - 1/10 sin(11/7 - 10 t) - 14/5 sin(11/7 - 5 t) - 149/2 sin(11/7 - 2 t) + 92/7 sin(t + 8/5) + 16/3 sin(3 t + 33/7) + 32/31 sin(4 t + 33/7) + 5/7 sin(6 t + 8/5) + 1/3 sin(7 t + 11/7) + 5/9 sin(8 t + 8/5) + 1/3 sin(11 t + 8/5) + 1/3 sin(13 t + 8/5) - 113) θ(91 π - t) θ(t - 87 π) + (1525/6 sin(t + 33/7) + 368/9 sin(2 t + 11/7) + 1414/9 sin(3 t + 11/7) + 52/7 sin(4 t + 11/7) + 227/4 sin(5 t + 11/7) + 157/5 sin(6 t + 33/7) + 109/11 sin(7 t + 8/5) + 71/7 sin(8 t + 14/9) + 67/6 sin(9 t + 11/7) + 29/4 sin(10 t + 14/9) + 220/17 sin(11 t + 11/7) + 4/5 sin(12 t + 11/7) - 4471/15) θ(87 π - t) θ(t - 83 π) + (-1/3 sin(11/7 - 11 t) - 1/4 sin(14/9 - 9 t) - 1/4 sin(3/2 - 6 t) - 13/5 sin(11/7 - 5 t) - 131/12 sin(11/7 - 3 t) + 136/7 sin(t + 8/5) + 45/4 sin(2 t + 8/5) + 1/17 sin(4 t + 8/7) + 4/5 sin(7 t + 33/7) + 1/5 sin(8 t + 8/5) + 1/10 sin(10 t + 8/5) - 1537/3) θ(83 π - t) θ(t - 79 π) + (-1/5 sin(11/7 - 12 t) - 2/7 sin(11/7 - 11 t) - 6/7 sin(11/7 - 9 t) - 4/5 sin(11/7 - 7 t) - 4/3 sin(11/7 - 6 t) - 9/5 sin(11/7 - 5 t) - sin(11/7 - 4 t) - 76/5 sin(11/7 - 3 t) + 49/5 sin(t + 8/5) + 11/4 sin(2 t + 11/7) + 3/7 sin(8 t + 11/7) + 1/30 sin(10 t + 9/7) - 1027/3) θ(79 π - t) θ(t - 75 π) + (-5/9 sin(5/4 - 27 t) - 22/5 sin(3/2 - 26 t) - 2/5 sin(5/4 - 25 t) - 21/10 sin(3/2 - 22 t) - 47/16 sin(10/7 - 21 t) - 21/5 sin(3/2 - 20 t) - 10/7 sin(3/2 - 18 t) - 5 sin(3/2 - 17 t) - 12/13 sin(7/5 - 16 t) - sin(11/7 - 15 t) - 89/7 sin(3/2 - 12 t) - 44/3 sin(14/9 - 11 t) - 832/5 sin(11/7 - 3 t) - 19/3 sin(10/7 - 2 t) + 359/7 sin(t + 33/7) + 365/2 sin(4 t + 8/5) + 1037/14 sin(5 t + 8/5) + 96/7 sin(6 t + 8/5) + 67/6 sin(7 t + 8/5) + 26/7 sin(8 t + 8/5) + 61/15 sin(9 t + 33/7) + 29/3 sin(10 t + 8/5) + 7/5 sin(13 t + 8/5) + 2/7 sin(14 t + 7/3) + 13/6 sin(19 t + 5/3) + 2/7 sin(23 t + 19/10) + 8/9 sin(24 t + 14/3) - 776/3) θ(75 π - t) θ(t - 71 π) + (-2 sin(3/2 - 12 t) - 10/3 sin(11/7 - 10 t) - 4/3 sin(11/7 - 9 t) - 22/5 sin(11/7 - 6 t) - 198/5 sin(11/7 - 2 t) + 1385/4 sin(t + 11/7) + 9/5 sin(3 t + 23/5) + 395/9 sin(4 t + 33/7) + 69/10 sin(5 t + 8/5) + 11/2 sin(7 t + 33/7) + 6 sin(8 t + 33/7) + 5 sin(11 t + 11/7) - 671/4) θ(71 π - t) θ(t - 67 π) + (-4/3 sin(11/7 - 11 t) - 16/3 sin(11/7 - 8 t) - 43/4 sin(11/7 - 6 t) - 410/9 sin(11/7 - 4 t) + 433/6 sin(t + 33/7) + 294 sin(2 t + 33/7) + 85/4 sin(3 t + 8/5) + 53/13 sin(5 t + 8/5) + 8/5 sin(7 t + 8/5) + 97/12 sin(9 t + 8/5) + 41/5 sin(10 t + 33/7) + 13/5 sin(12 t + 33/7) - 109/2) θ(67 π - t) θ(t - 63 π) + (-43/14 sin(11/7 - 18 t) - 16/7 sin(11/7 - 16 t) - 35/6 sin(11/7 - 10 t) - 459/4 sin(11/7 - t) + 159 sin(2 t + 8/5) + 1019/17 sin(3 t + 8/5) + 97/2 sin(4 t + 8/5) + 69/14 sin(5 t + 8/5) + 87/5 sin(6 t + 8/5) + 6/5 sin(7 t + 13/8) + 12 sin(8 t + 8/5) + 65/6 sin(9 t + 8/5) + 52/5 sin(11 t + 8/5) + 5/3 sin(12 t + 14/3) + 21/8 sin(13 t + 8/5) + sin(14 t + 8/5) + 14/5 sin(15 t + 8/5) + 8 sin(17 t + 8/5) - 1159/4) θ(63 π - t) θ(t - 59 π) + (-1/10 sin(7/8 - 11 t) - 53/6 sin(11/7 - 3 t) + 11/3 sin(t + 11/7) + 204/5 sin(2 t + 11/7) + 141/5 sin(4 t + 11/7) + 13/2 sin(5 t + 14/9) + 29/4 sin(6 t + 11/7) + 3/2 sin(7 t + 3/2) + 6 sin(8 t + 11/7) + 3 sin(9 t + 3/2) + 9/2 sin(10 t + 11/7) + 13/4 sin(12 t + 11/7) - 5183/6) θ(59 π - t) θ(t - 55 π) + (-3/4 sin(14/9 - 12 t) - 23/4 sin(11/7 - 11 t) - 7/3 sin(11/7 - 7 t) - 69/5 sin(11/7 - 5 t) - 23 sin(11/7 - 4 t) - 103/3 sin(11/7 - 3 t) - 129/4 sin(11/7 - 2 t) + 277/4 sin(t + 8/5) + 8/5 sin(6 t + 11/7) + 3 sin(8 t + 33/7) + 25/6 sin(9 t + 8/5) + 3/5 sin(10 t + 14/9) + 47/2) θ(55 π - t) θ(t - 51 π) + (-107/12 sin(11/7 - 10 t) - 19/2 sin(11/7 - 5 t) - 182/3 sin(11/7 - 4 t) - 89/5 sin(11/7 - 2 t) - 2309/21 sin(11/7 - t) + 34/3 sin(3 t + 11/7) + 19/2 sin(6 t + 8/5) + 136/5 sin(7 t + 8/5) + 31/4 sin(8 t + 8/5) + 23/5 sin(9 t + 8/5) + 65/8 sin(11 t + 8/5) + 32/7 sin(12 t + 8/5) - 600) θ(51 π - t) θ(t - 47 π) + (-65/22 sin(11/7 - 11 t) - 6/11 sin(11/7 - 9 t) - 31/10 sin(11/7 - 8 t) - sin(11/7 - 6 t) - 26/5 sin(11/7 - 5 t) - 295/6 sin(11/7 - 3 t) - 174/5 sin(11/7 - 2 t) + 85/6 sin(t + 33/7) + 123/7 sin(4 t + 8/5) + sin(7 t + 14/3) + 8/7 sin(10 t + 8/5) + 11/7 sin(12 t + 8/5) + 1562/5) θ(47 π - t) θ(t - 43 π) + (-4/7 sin(3/2 - 27 t) - 8/5 sin(3/2 - 26 t) - 16/11 sin(3/2 - 21 t) - 29/8 sin(3/2 - 19 t) - 77/6 sin(11/7 - 12 t) - 227/7 sin(11/7 - 8 t) - 29/5 sin(3/2 - 5 t) + 596/3 sin(t + 8/5) + 677/13 sin(2 t + 33/7) + 1483/14 sin(3 t + 33/7) + 389/13 sin(4 t + 8/5) + 206/5 sin(6 t + 11/7) + 196/5 sin(7 t + 11/7) + 31/5 sin(9 t + 33/7) + 57/5 sin(10 t + 11/7) + 13/2 sin(11 t + 8/5) + 21/2 sin(13 t + 11/7) + 19/4 sin(14 t + 3/2) + 46/5 sin(15 t + 11/7) + 13/5 sin(16 t + 3/2) + 4 sin(17 t + 3/2) + 95/8 sin(18 t + 11/7) + 2 sin(20 t + 8/5) + 50/17 sin(22 t + 3/2) + 145/18 sin(23 t + 11/7) + 7/5 sin(24 t + 4/3) + 27/5 sin(25 t + 11/7) + 35/9 sin(28 t + 11/7) + 856/7) θ(43 π - t) θ(t - 39 π) + (-9/4 sin(11/7 - 24 t) - 3/5 sin(6/5 - 19 t) - 38/3 sin(11/7 - 14 t) - 467/6 sin(11/7 - 10 t) - 235/4 sin(11/7 - 9 t) - 811/10 sin(11/7 - 7 t) - 185/4 sin(11/7 - 2 t) + 10/9 sin(t + 5/3) + 58/3 sin(3 t + 33/7) + 109/5 sin(4 t + 8/5) + 128/5 sin(5 t + 8/5) + 11/2 sin(6 t + 8/5) + 77/3 sin(8 t + 8/5) + 75/2 sin(11 t + 8/5) + 241/8 sin(12 t + 8/5) + 221/7 sin(13 t + 8/5) + 95/9 sin(15 t + 8/5) + 2/7 sin(16 t + 8/5) + 203/9 sin(17 t + 8/5) + 7/5 sin(18 t + 5/3) + 13/6 sin(20 t + 33/7) + 61/6 sin(21 t + 8/5) + 1/11 sin(22 t + 5/3) + 145/16 sin(23 t + 8/5) + 13/3 sin(25 t + 8/5) + 13/9 sin(26 t + 14/3) + 4/7 sin(27 t + 7/5) + 9/2 sin(28 t + 8/5) + 9/4 sin(29 t + 8/5) - 641/2) θ(39 π - t) θ(t - 35 π) + (-61/8 sin(11/7 - 10 t) - 61/3 sin(11/7 - 7 t) - 71/3 sin(11/7 - 4 t) - 4009/9 sin(11/7 - t) + 414/7 sin(2 t + 33/7) + 9/4 sin(3 t + 14/3) + 32/3 sin(5 t + 8/5) + 196/13 sin(6 t + 33/7) + 19/6 sin(8 t + 14/3) + 21/5 sin(9 t + 33/7) + 31/4 sin(11 t + 33/7) + 2 sin(12 t + 14/3) + 7261/11) θ(35 π - t) θ(t - 31 π) + (-52/7 sin(11/7 - 18 t) - 107/4 sin(11/7 - 11 t) - 57 sin(11/7 - 10 t) - 27 sin(11/7 - 4 t) - 6145/16 sin(11/7 - t) + 162/5 sin(2 t + 33/7) + 125/2 sin(3 t + 8/5) + 843/5 sin(5 t + 8/5) + 4/3 sin(6 t + 4/3) + 89/5 sin(7 t + 14/9) + 48/5 sin(8 t + 8/5) + 375/8 sin(9 t + 8/5) + 5/2 sin(12 t + 23/5) + 1/3 sin(13 t + 3/5) + 1/4 sin(14 t + 7/5) + 108/5 sin(15 t + 8/5) + 73/8 sin(16 t + 8/5) + 30/7 sin(17 t + 11/7) + 286/15 sin(19 t + 8/5) + 24/5 sin(20 t + 11/7) + 4 sin(21 t + 8/5) + 4/5 sin(22 t + 8/5) + 1/4 sin(23 t + 3/2) + 16/15 sin(24 t + 14/3) + 49/8 sin(25 t + 8/5) + 42/5 sin(26 t + 8/5) + 1910/3) θ(31 π - t) θ(t - 27 π) + (-17/4 sin(11/7 - 10 t) - 7/2 sin(11/7 - 6 t) - 117/4 sin(11/7 - 3 t) + 51/5 sin(t + 3/2) + 178 sin(2 t + 11/7) + 100/3 sin(4 t + 11/7) + 4/3 sin(5 t + 3/2) + 5/3 sin(7 t + 10/7) + 179/6 sin(8 t + 11/7) + 47/7 sin(9 t + 3/2) + 20/7 sin(11 t + 3/2) + 125/8 sin(12 t + 11/7) + 7/8 sin(13 t + 7/5) + 21/8 sin(14 t + 14/3) + 24/5 sin(15 t + 14/3) + 2/7 sin(16 t + 33/17) + 1/8 sin(17 t + 14/3) + 863/5) θ(27 π - t) θ(t - 23 π) + (-3 sin(3/2 - 24 t) - 6/5 sin(3/2 - 23 t) - 47/4 sin(3/2 - 18 t) - 121/6 sin(3/2 - 17 t) - 42/5 sin(11/7 - 15 t) - 44/9 sin(3/2 - 14 t) - 29/7 sin(14/9 - 13 t) - 197/8 sin(11/7 - 10 t) - 193/5 sin(11/7 - 8 t) - 74/7 sin(14/9 - 7 t) - 595/22 sin(11/7 - 6 t) - 92/7 sin(11/7 - 5 t) - 352/13 sin(11/7 - 3 t) - 843/4 sin(11/7 - 2 t) + 167/4 sin(t + 8/5) + 22/5 sin(4 t + 14/3) + 125/7 sin(9 t + 8/5) + 104/7 sin(11 t + 8/5) + 47/7 sin(12 t + 8/5) + 5/7 sin(16 t + 8/5) + 32/3 sin(19 t + 8/5) + 18/7 sin(20 t + 12/7) + 11/5 sin(21 t + 8/5) + 10/11 sin(22 t + 14/3) + 3/4 sin(25 t + 8/5) + 10/9 sin(26 t + 33/7) + 1496/5) θ(23 π - t) θ(t - 19 π) + (-1/5 sin(7/5 - 25 t) - 1/4 sin(4/3 - 23 t) - 37/18 sin(11/7 - 15 t) - 53/4 sin(11/7 - 3 t) + 243/7 sin(t + 8/5) + 107/2 sin(2 t + 11/7) + 31/4 sin(4 t + 8/5) + 134/7 sin(5 t + 33/7) + 307/6 sin(6 t + 11/7) + 145/6 sin(7 t + 11/7) + 71/3 sin(8 t + 11/7) + 89/4 sin(9 t + 33/7) + 11/2 sin(10 t + 33/7) + 28/5 sin(11 t + 11/7) + 47/4 sin(12 t + 33/7) + 16/5 sin(13 t + 11/7) + 41/6 sin(14 t + 11/7) + 23/2 sin(16 t + 11/7) + 29/4 sin(17 t + 33/7) + 55/14 sin(18 t + 14/3) + 39/8 sin(19 t + 14/9) + 6/7 sin(20 t + 14/3) + 22/5 sin(21 t + 14/3) + 36/7 sin(22 t + 11/7) + 13/3 sin(24 t + 14/3) - 1279/2) θ(19 π - t) θ(t - 15 π) + (-11/7 sin(3/2 - 18 t) - 22/5 sin(3/2 - 5 t) + 293/7 sin(t + 11/7) + 106/3 sin(2 t + 8/5) + 1443/4 sin(3 t + 33/7) + 33/2 sin(4 t + 8/5) + 83/6 sin(6 t + 8/5) + 89/3 sin(7 t + 33/7) + 271/10 sin(8 t + 14/3) + 7/5 sin(9 t + 5/3) + 109/9 sin(10 t + 11/7) + 25 sin(11 t + 11/7) + 7/4 sin(12 t + 11/7) + 6 sin(13 t + 14/3) + 288/17 sin(14 t + 33/7) + 24/5 sin(15 t + 8/5) + 169/28 sin(16 t + 11/7) + 31/6 sin(17 t + 11/7) + 15/7 sin(19 t + 33/7) + 13/7 sin(20 t + 14/3) + 61/15 sin(21 t + 33/7) + 1/5 sin(22 t + 3/4) + 26/5 sin(23 t + 3/2) + 29/10 sin(24 t + 11/7) + 49/8 sin(25 t + 14/3) + 1/5 sin(26 t + 19/10) + 43/14 sin(27 t + 11/7) + 17/5 sin(28 t + 3/2) + 5/4 sin(29 t + 3/2) + 11/10 sin(30 t + 32/7) + 19/5 sin(31 t + 37/8) - 6927/8) θ(15 π - t) θ(t - 11 π) + (-3/4 sin(14/9 - 28 t) - 17/4 sin(11/7 - 27 t) - 1/6 sin(3/2 - 25 t) - 8/3 sin(11/7 - 23 t) - 3/7 sin(14/9 - 20 t) - 1422/29 sin(11/7 - 9 t) - 118/3 sin(11/7 - 7 t) - 52/5 sin(11/7 - 3 t) + 119/5 sin(t + 8/5) + 373/9 sin(2 t + 33/7) + 381/5 sin(4 t + 8/5) + 211/5 sin(5 t + 11/7) + 105/8 sin(6 t + 8/5) + 332/5 sin(8 t + 8/5) + 253/5 sin(10 t + 33/7) + 112/5 sin(11 t + 33/7) + 153/11 sin(12 t + 33/7) + 99/10 sin(13 t + 8/5) + 24/5 sin(14 t + 8/5) + 98/5 sin(15 t + 33/7) + 8 sin(16 t + 14/3) + 11/4 sin(17 t + 14/3) + 1/6 sin(18 t + 23/11) + 18/7 sin(19 t + 23/5) + 47/12 sin(21 t + 14/3) + 2/3 sin(22 t + 37/8) + 4/5 sin(24 t + 5/3) + 13/4 sin(26 t + 8/5) + 13/3 sin(29 t + 8/5) + 25/7 sin(30 t + 11/7) + 1/6 sin(31 t + 5/3) - 3794/5) θ(11 π - t) θ(t - 7 π) + (-145/24 sin(7/5 - 36 t) - 23/7 sin(10/7 - 34 t) - 5/7 sin(4/3 - 33 t) - 57/14 sin(7/5 - 31 t) - 25/4 sin(10/7 - 26 t) - 37/6 sin(10/7 - 25 t) - 8 sin(3/2 - 21 t) - 39/10 sin(10/7 - 20 t) - 39/4 sin(3/2 - 19 t) - 19/5 sin(10/7 - 15 t) - 139/6 sin(3/2 - 12 t) - 195/8 sin(3/2 - 11 t) - 271/8 sin(14/9 - 10 t) - 298/5 sin(14/9 - 8 t) - 5/2 sin(5/4 - 7 t) - 203/5 sin(11/7 - 3 t) - 1104/7 sin(11/7 - 2 t) + 503/7 sin(t + 8/5) + 101/2 sin(4 t + 8/5) + 105/13 sin(5 t + 14/9) + 41/3 sin(6 t + 33/7) + 143/9 sin(9 t + 8/5) + 29/5 sin(13 t + 8/5) + 13/4 sin(14 t + 14/3) + 1/7 sin(16 t + 29/10) + 107/7 sin(17 t + 5/3) + 12/7 sin(18 t + 5/3) + 67/9 sin(22 t + 5/3) + 9/7 sin(23 t + 15/8) + 5/4 sin(24 t + 5/3) + 43/5 sin(27 t + 12/7) + 1/7 sin(28 t + 25/7) + 1/12 sin(29 t + 1) + 25/12 sin(30 t + 7/4) + 23/11 sin(32 t + 9/5) + 2/7 sin(35 t + 12/13) + 2734/5) θ(7 π - t) θ(t - 3 π) + (-13/6 sin(3/2 - 29 t) - 8/5 sin(11/7 - 27 t) - 15/8 sin(11/7 - 26 t) - 11/4 sin(11/7 - 22 t) - 13/5 sin(14/9 - 21 t) - 16/7 sin(14/9 - 20 t) - 3/5 sin(11/7 - 19 t) - 16 sin(11/7 - 14 t) - 68/5 sin(11/7 - 13 t) - 127/14 sin(14/9 - 12 t) - 147/8 sin(11/7 - 11 t) - 20/21 sin(11/7 - 10 t) - 176/5 sin(11/7 - 8 t) - 169/7 sin(11/7 - 7 t) - 31/5 sin(3/2 - 6 t) - 421/15 sin(11/7 - 5 t) - 1/6 sin(5/4 - 4 t) - 117/2 sin(11/7 - 3 t) + 731/6 sin(t + 8/5) + 396/7 sin(2 t + 8/5) + 144/5 sin(9 t + 8/5) + 21/5 sin(15 t + 11/7) + 9/5 sin(16 t + 5/3) + 1/3 sin(17 t + 33/8) + 7/5 sin(18 t + 5/3) + 1/2 sin(23 t + 8/5) + 8/5 sin(24 t + 33/7) + 4 sin(25 t + 8/5) + 3 sin(28 t + 8/5) - 1718/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-5/9 sin(3/2 - 7 t) + 9/2 sin(t + 11/7) + 389/7 sin(2 t + 8/5) + 17/3 sin(3 t + 11/7) + 2/7 sin(4 t + 3/2) + 11/5 sin(5 t + 8/5) + 23/8 sin(6 t + 11/7) + 10/7 sin(8 t + 8/5) + 3/4 sin(9 t + 11/7) + 2/5 sin(10 t + 8/5) + 2/5 sin(11 t + 14/3) + 3/5 sin(12 t + 11/7) - 508/13) θ(107 π - t) θ(t - 103 π) + (1409/8 sin(t + 8/5) + 81/7 sin(2 t + 8/5) + 35/3 sin(3 t + 8/5) + 52/5 sin(4 t + 8/5) + 7/6 sin(5 t + 8/5) + 33/8 sin(6 t + 8/5) + 7/8 sin(7 t + 8/5) + 6/5 sin(8 t + 8/5) + 7/4 sin(9 t + 8/5) + 1/3 sin(10 t + 8/5) + 4/3 sin(11 t + 8/5) + 4/7 sin(12 t + 8/5) - 2536/5) θ(103 π - t) θ(t - 99 π) + (-46/7 sin(11/7 - 25 t) - 17/3 sin(11/7 - 22 t) - 23/5 sin(3/2 - 20 t) - 41/5 sin(11/7 - 19 t) - 19/4 sin(11/7 - 15 t) - 137/17 sin(11/7 - 11 t) - 17/6 sin(11/7 - 9 t) - 1/8 sin(3/2 - 8 t) - 8/5 sin(11/7 - 7 t) - 85/14 sin(11/7 - 6 t) - 1/3 sin(10/7 - 5 t) - 19/10 sin(11/7 - 4 t) - 18/5 sin(11/7 - 2 t) + 27/7 sin(t + 11/7) + 17/6 sin(3 t + 8/5) + 1/4 sin(10 t + 4/3) + 85/9 sin(12 t + 8/5) + 7/3 sin(13 t + 8/5) + 40/7 sin(14 t + 8/5) + 45/4 sin(16 t + 8/5) + 53/8 sin(17 t + 8/5) + 29/10 sin(18 t + 8/5) + 16/7 sin(21 t + 8/5) + 11/6 sin(23 t + 8/5) + 24/7 sin(24 t + 8/5) + 1/4 sin(26 t + 3/2) + 2702/5) θ(99 π - t) θ(t - 95 π) + (-11/3 sin(11/7 - 10 t) - 15/4 sin(11/7 - 9 t) - 8/9 sin(11/7 - 7 t) - 48/7 sin(11/7 - 6 t) - 11/4 sin(11/7 - 5 t) - 85/4 sin(11/7 - 3 t) + 11/7 sin(t + 11/7) + 71/4 sin(2 t + 8/5) + 69/5 sin(4 t + 8/5) + sin(8 t + 3/2) + 3/5 sin(11 t + 5/3) + 113/28 sin(12 t + 8/5) + 21/5 sin(13 t + 8/5) + 7/4 sin(14 t + 8/5) + 1/3 sin(15 t + 41/9) + 1/16 sin(16 t + 16/7) + 14/15 sin(17 t + 8/5) + 12/11 sin(18 t + 8/5) + 1435/3) θ(95 π - t) θ(t - 91 π) + (-7/8 sin(11/7 - 13 t) - 1/2 sin(11/7 - 12 t) - 12/7 sin(11/7 - 11 t) - 2/3 sin(11/7 - 10 t) - 8/3 sin(11/7 - 9 t) - 36/7 sin(11/7 - 7 t) - 1/20 sin(6/5 - 6 t) - 75/7 sin(11/7 - 5 t) - 186/5 sin(11/7 - 3 t) + 381/5 sin(t + 8/5) + 149/10 sin(2 t + 8/5) + 5/7 sin(4 t + 33/7) + 4/9 sin(8 t + 11/7) + 1595/3) θ(91 π - t) θ(t - 87 π) + (-121/4 sin(11/7 - 2 t) + 197/6 sin(t + 33/7) + 479/7 sin(3 t + 11/7) + 562/7 sin(4 t + 33/7) + 334/9 sin(5 t + 33/7) + 129/5 sin(6 t + 11/7) + 17/3 sin(7 t + 14/3) + 70/3 sin(8 t + 8/5) + 93/5 sin(9 t + 11/7) + 35/4 sin(10 t + 11/7) + 1/14 sin(11 t + 7/3) + 17/4 sin(12 t + 14/3) + 14881/31) θ(87 π - t) θ(t - 83 π) + (-sin(11/7 - 4 t) - 65/11 sin(11/7 - t) + 222/13 sin(2 t + 8/5) + 59/9 sin(3 t + 8/5) + 25/8 sin(5 t + 8/5) + 1/3 sin(6 t + 14/3) + 3/5 sin(7 t + 8/5) + 1/9 sin(8 t + 37/8) + 1/3 sin(9 t + 8/5) + 1/3 sin(10 t + 8/5) + 1/5 sin(11 t + 8/5) + 1/5 sin(12 t + 8/5) + 2300/7) θ(83 π - t) θ(t - 79 π) + (-15/14 sin(11/7 - 7 t) - 15/14 sin(11/7 - 4 t) + 19/4 sin(t + 8/5) + 103/5 sin(2 t + 8/5) + 7/3 sin(3 t + 33/7) + 3/7 sin(5 t + 33/7) + 1/12 sin(6 t + 14/3) + 3/5 sin(8 t + 8/5) + 1/9 sin(9 t + 14/3) + 1/33 sin(10 t + 10/7) + 1/4 sin(12 t + 8/5) + 2725/8) θ(79 π - t) θ(t - 75 π) + (-6/5 sin(11/7 - 26 t) - 31/8 sin(3/2 - 24 t) - 17/4 sin(3/2 - 20 t) - 97/12 sin(3/2 - 16 t) - 5/2 sin(7/5 - 15 t) - 21/2 sin(11/7 - 12 t) - 21/20 sin(4/3 - 11 t) - 375/17 sin(14/9 - 7 t) - 241/11 sin(11/7 - 6 t) - 232/3 sin(11/7 - t) + 289/10 sin(2 t + 8/5) + 49/8 sin(3 t + 33/7) + 243/11 sin(4 t + 8/5) + 133/6 sin(5 t + 8/5) + 67/33 sin(8 t + 8/5) + 11/5 sin(9 t + 14/3) + 3/5 sin(10 t + 23/5) + 118/9 sin(13 t + 8/5) + 7/2 sin(14 t + 33/7) + 16/3 sin(17 t + 8/5) + 25/6 sin(18 t + 33/7) + 30/7 sin(19 t + 8/5) + 4/5 sin(21 t + 3/2) + 15/8 sin(22 t + 7/4) + 5/2 sin(23 t + 8/5) + 4/5 sin(25 t + 7/5) + 5/3 sin(27 t + 13/8) + 307) θ(75 π - t) θ(t - 71 π) + (-16/5 sin(11/7 - 11 t) - 17/7 sin(3/2 - 10 t) - 11/2 sin(14/9 - 9 t) - 21/5 sin(14/9 - 8 t) - 85/9 sin(11/7 - 7 t) - 25 sin(11/7 - 5 t) + 26/7 sin(t + 5/3) + 919/6 sin(2 t + 33/7) + 1424/15 sin(3 t + 33/7) + 179/7 sin(4 t + 8/5) + 13/4 sin(6 t + 3/2) + 3/2 sin(12 t + 11/7) + 1853/3) θ(71 π - t) θ(t - 67 π) + (-13/5 sin(11/7 - 12 t) - 32/3 sin(11/7 - 9 t) - 13/5 sin(11/7 - 8 t) - 65 sin(11/7 - 2 t) + 2867/7 sin(t + 8/5) + 740/13 sin(3 t + 33/7) + 209/8 sin(4 t + 33/7) + 589/21 sin(5 t + 33/7) + 101/5 sin(6 t + 33/7) + 33/7 sin(7 t + 8/5) + 23/4 sin(10 t + 14/3) + 13/6 sin(11 t + 33/7) + 2966/5) θ(67 π - t) θ(t - 63 π) + (-13/3 sin(11/7 - 16 t) - 25/4 sin(11/7 - 15 t) - 5 sin(11/7 - 14 t) - 69/7 sin(11/7 - 12 t) - 49/4 sin(11/7 - 8 t) - 463/8 sin(11/7 - 7 t) - 22/5 sin(11/7 - 2 t) - 690/7 sin(11/7 - t) + 634/7 sin(3 t + 8/5) + 110/7 sin(4 t + 8/5) + 141/7 sin(5 t + 8/5) + 28/3 sin(6 t + 11/7) + 156/7 sin(9 t + 8/5) + 6 sin(10 t + 33/7) + 27/4 sin(11 t + 11/7) + 11 sin(13 t + 8/5) + 17/2 sin(17 t + 8/5) + 4/3 sin(18 t + 8/5) + 29881/30) θ(63 π - t) θ(t - 59 π) + (-12/5 sin(3/2 - 9 t) - 29/7 sin(3/2 - 5 t) - 29/2 sin(11/7 - t) + 6418/23 sin(2 t + 11/7) + 49/10 sin(3 t + 3/2) + 21/4 sin(4 t + 33/7) + 113/4 sin(6 t + 11/7) + 13/14 sin(7 t + 4/3) + 11/6 sin(8 t + 14/3) + 66/7 sin(10 t + 11/7) + 9/7 sin(11 t + 14/9) + 6/5 sin(12 t + 23/5) + 2391/4) θ(59 π - t) θ(t - 55 π) + (-3/2 sin(11/7 - 12 t) - 13/5 sin(11/7 - 11 t) - 35/9 sin(11/7 - 9 t) - 23/8 sin(11/7 - 6 t) - 81/8 sin(11/7 - 5 t) - 212/5 sin(11/7 - 3 t) + 492/7 sin(t + 8/5) + 211/3 sin(2 t + 8/5) + 87/8 sin(4 t + 8/5) + 7/6 sin(7 t + 8/5) + 12/5 sin(8 t + 11/7) + 8/3 sin(10 t + 11/7) + 619/7) θ(55 π - t) θ(t - 51 π) + (-4/5 sin(10/7 - 11 t) - 10/3 sin(11/7 - 10 t) - 25/8 sin(3/2 - 9 t) - 69/4 sin(11/7 - 8 t) - 111/11 sin(11/7 - 7 t) - 3/5 sin(10/7 - 5 t) - 272/5 sin(11/7 - 4 t) - 98 sin(11/7 - 2 t) + 121/7 sin(t + 11/7) + 43/2 sin(3 t + 11/7) + 523/29 sin(6 t + 8/5) + 1/3 sin(12 t + 11/7) - 296/5) θ(51 π - t) θ(t - 47 π) + (-1/6 sin(3/2 - 12 t) + 85/2 sin(t + 33/7) + 11/5 sin(2 t + 33/7) + 123/4 sin(3 t + 11/7) + 17/3 sin(4 t + 11/7) + 27/5 sin(5 t + 8/5) + 31/10 sin(6 t + 33/7) + 3/4 sin(7 t + 11/7) + 13/7 sin(8 t + 11/7) + 73/24 sin(9 t + 11/7) + 1/5 sin(10 t + 11/7) + 4/5 sin(11 t + 11/7) - 442/9) θ(47 π - t) θ(t - 43 π) + (-10/7 sin(11/7 - 24 t) - 33/8 sin(11/7 - 23 t) - 133/5 sin(11/7 - 5 t) + 577/5 sin(t + 11/7) + 2159/7 sin(2 t + 11/7) + 34 sin(3 t + 14/9) + 513/4 sin(4 t + 11/7) + 106/3 sin(6 t + 8/5) + 137/3 sin(7 t + 33/7) + 79/7 sin(8 t + 33/7) + 32/5 sin(9 t + 11/7) + 49/5 sin(10 t + 11/7) + 83/7 sin(11 t + 33/7) + 19/2 sin(12 t + 14/3) + 87/4 sin(13 t + 33/7) + 28/5 sin(14 t + 5/3) + 130/7 sin(15 t + 33/7) + 21/4 sin(16 t + 14/9) + 89/4 sin(17 t + 8/5) + 87/4 sin(18 t + 33/7) + 485/22 sin(19 t + 14/3) + 35/4 sin(20 t + 8/5) + 43/21 sin(21 t + 3/2) + 59/9 sin(22 t + 11/7) + 5/3 sin(25 t + 8/5) + 3/4 sin(26 t + 10/7) + 7/3 sin(27 t + 3/2) + 29/5 sin(28 t + 14/9) - 3985/4) θ(43 π - t) θ(t - 39 π) + (-8/5 sin(11/7 - 28 t) - 7/4 sin(3/2 - 26 t) - 12/7 sin(3/2 - 24 t) - 5 sin(11/7 - 22 t) - 83/6 sin(14/9 - 17 t) - 85/9 sin(14/9 - 15 t) - 17/3 sin(11/7 - 14 t) - 35/4 sin(11/7 - 5 t) - 28 sin(11/7 - t) + 926/3 sin(2 t + 8/5) + 241/15 sin(3 t + 8/5) + 289/7 sin(4 t + 8/5) + 75/2 sin(6 t + 8/5) + 7/3 sin(7 t + 11/7) + 195/14 sin(8 t + 8/5) + 121/20 sin(9 t + 33/7) + 32/7 sin(10 t + 8/5) + 31/6 sin(11 t + 8/5) + 1/3 sin(12 t + 8/5) + 109/10 sin(13 t + 8/5) + 102/5 sin(16 t + 8/5) + 33/4 sin(18 t + 8/5) + 53/2 sin(19 t + 8/5) + 59/6 sin(20 t + 8/5) + 18/7 sin(21 t + 11/7) + 61/12 sin(23 t + 8/5) + 31/10 sin(25 t + 8/5) + 4/3 sin(27 t + 8/5) + 8/5 sin(29 t + 8/5) - 1533/5) θ(39 π - t) θ(t - 35 π) + (-150/7 sin(11/7 - 8 t) - 155/2 sin(11/7 - 4 t) - 1096/5 sin(11/7 - 2 t) + 5/7 sin(t + 9/2) + 183/8 sin(3 t + 8/5) + 40/3 sin(5 t + 8/5) + 81/4 sin(6 t + 8/5) + 8/7 sin(7 t + 3/2) + 59/4 sin(9 t + 11/7) + 119/12 sin(10 t + 8/5) + 9/5 sin(11 t + 3/2) + 109/18 sin(12 t + 33/7) + 723/5) θ(35 π - t) θ(t - 31 π) + (-118/17 sin(3/2 - 26 t) - 11/4 sin(3/2 - 25 t) - 55/18 sin(11/7 - 23 t) - 15/4 sin(11/7 - 22 t) - 107/12 sin(11/7 - 21 t) - 9/7 sin(4/3 - 18 t) - 104/3 sin(11/7 - 13 t) - 53 sin(11/7 - 9 t) - 759/10 sin(11/7 - 8 t) - 1557/19 sin(14/9 - 5 t) - 35 sin(11/7 - 3 t) - 310/9 sin(11/7 - 2 t) + 63/5 sin(t + 5/3) + 309 sin(4 t + 8/5) + 898/3 sin(6 t + 8/5) + 616/5 sin(7 t + 8/5) + 45/11 sin(10 t + 8/5) + 335/8 sin(11 t + 8/5) + 41/5 sin(12 t + 11/7) + 43/2 sin(14 t + 8/5) + 3/8 sin(15 t + 23/5) + 79/4 sin(16 t + 8/5) + 55/3 sin(17 t + 8/5) + 12/7 sin(19 t + 5/3) + 17/6 sin(20 t + 14/3) + 115/7 sin(24 t + 8/5) + 2429/5) θ(31 π - t) θ(t - 27 π) + (-12/13 sin(3/2 - 13 t) - 23/3 sin(11/7 - 6 t) + 194/3 sin(t + 33/7) + 529/7 sin(2 t + 33/7) + 57/2 sin(3 t + 11/7) + 54/5 sin(4 t + 14/9) + 261/10 sin(5 t + 11/7) + 5/4 sin(7 t + 14/3) + 13/5 sin(8 t + 8/5) + 31/4 sin(9 t + 14/3) + 49/4 sin(10 t + 14/3) + 7/2 sin(11 t + 8/5) + 1/4 sin(12 t + 10/7) + 33/7 sin(14 t + 14/9) + 22/7 sin(15 t + 3/2) + 5/3 sin(16 t + 3/2) + 4/3 sin(17 t + 3/2) + 9943/8) θ(27 π - t) θ(t - 23 π) + (-6/5 sin(14/9 - 24 t) - 48/5 sin(3/2 - 23 t) - 5/2 sin(3/2 - 22 t) - 19/9 sin(11/7 - 19 t) - 59/6 sin(3/2 - 18 t) - 17/9 sin(11/7 - 17 t) - 8 sin(3/2 - 16 t) - 65/3 sin(14/9 - 15 t) - 16 sin(3/2 - 12 t) - 111/4 sin(11/7 - 11 t) - 96/5 sin(11/7 - 9 t) - 37/7 sin(3/2 - 6 t) - 3781/28 sin(11/7 - 2 t) + 153/5 sin(t + 11/7) + 25/8 sin(3 t + 11/7) + 89/6 sin(4 t + 8/5) + 235/9 sin(5 t + 8/5) + 33/2 sin(7 t + 8/5) + 725/9 sin(8 t + 8/5) + 38/5 sin(10 t + 11/7) + 7/8 sin(13 t + 11/6) + 89/9 sin(14 t + 8/5) + 2 sin(20 t + 8/5) + 10/3 sin(21 t + 5/3) + 29/4 sin(25 t + 5/3) + 11/6 sin(26 t + 8/5) + 5021/5) θ(23 π - t) θ(t - 19 π) + (-7/4 sin(11/7 - 13 t) + 449/7 sin(t + 33/7) + 591/5 sin(2 t + 33/7) + 247/5 sin(3 t + 11/7) + 23/2 sin(4 t + 8/5) + 42/5 sin(5 t + 33/7) + 1737/31 sin(6 t + 11/7) + 142/7 sin(7 t + 11/7) + 49/2 sin(8 t + 8/5) + 49/4 sin(9 t + 33/7) + 152/9 sin(10 t + 11/7) + 19/4 sin(11 t + 11/7) + 50/9 sin(12 t + 8/5) + 71/9 sin(14 t + 33/7) + 49/10 sin(15 t + 33/7) + 7/4 sin(16 t + 8/5) + 71/9 sin(17 t + 11/7) + 32/7 sin(18 t + 14/3) + 7/6 sin(19 t + 14/3) + 19/9 sin(20 t + 11/7) + 28/5 sin(21 t + 11/7) + 37/9 sin(22 t + 11/7) + 7/6 sin(23 t + 8/5) + 10/7 sin(25 t + 14/9) + 18716/19) θ(19 π - t) θ(t - 15 π) + (-1240/7 sin(11/7 - t) + 4019/9 sin(2 t + 11/7) + 1858/13 sin(3 t + 33/7) + 118/5 sin(4 t + 14/3) + 1067/13 sin(5 t + 33/7) + 545/3 sin(6 t + 33/7) + 913/19 sin(7 t + 33/7) + 41/3 sin(8 t + 8/5) + 299/15 sin(9 t + 33/7) + 49/2 sin(10 t + 33/7) + 20 sin(11 t + 8/5) + 62/5 sin(12 t + 33/7) + 23/3 sin(13 t + 14/3) + 96/5 sin(14 t + 11/7) + 73/12 sin(15 t + 8/5) + 261/8 sin(16 t + 14/3) + 143/16 sin(17 t + 14/3) + 48/5 sin(18 t + 11/7) + 14/3 sin(19 t + 33/7) + 122/7 sin(20 t + 33/7) + 35/6 sin(21 t + 14/3) + 17/5 sin(22 t + 11/7) + 100/33 sin(23 t + 14/9) + 7/8 sin(24 t + 3/2) + 23/6 sin(25 t + 33/7) + 4/7 sin(26 t + 8/5) + 11/6 sin(27 t + 5/3) + 39/10 sin(28 t + 14/3) + 44/9 sin(29 t + 14/3) + 12/5 sin(30 t + 8/5) + 11/8 sin(31 t + 9/2) + 3541/6) θ(15 π - t) θ(t - 11 π) + (-17/7 sin(14/9 - 31 t) - 33/5 sin(11/7 - 20 t) - 32/3 sin(11/7 - 17 t) - 59/7 sin(11/7 - 16 t) - 27/5 sin(3/2 - 14 t) - 17/2 sin(11/7 - 10 t) - 43/4 sin(11/7 - 9 t) - 71/9 sin(11/7 - 5 t) - 139/6 sin(11/7 - 4 t) - 276/7 sin(11/7 - t) + 752/3 sin(2 t + 8/5) + 103/3 sin(3 t + 11/7) + 110/7 sin(6 t + 11/7) + 33/2 sin(7 t + 11/7) + 139/9 sin(8 t + 11/7) + 151/7 sin(11 t + 11/7) + 64/21 sin(12 t + 3/2) + 85/4 sin(13 t + 11/7) + 239/7 sin(15 t + 8/5) + 15/8 sin(18 t + 8/5) + 6 sin(19 t + 33/7) + 35/9 sin(21 t + 8/5) + 22/5 sin(22 t + 11/7) + 2/3 sin(23 t + 3/2) + 7/3 sin(24 t + 14/3) + 1/3 sin(25 t + 4/3) + 50/17 sin(26 t + 14/3) + 7/4 sin(27 t + 3/2) + 1/5 sin(28 t + 14/3) + 7/3 sin(29 t + 8/5) + 11/6 sin(30 t + 11/7) - 2269/5) θ(11 π - t) θ(t - 7 π) + (-63/8 sin(4/3 - 36 t) - 30/29 sin(3/2 - 35 t) - 16/5 sin(11/8 - 31 t) - 4/3 sin(14/9 - 30 t) - 42/5 sin(7/5 - 28 t) - 11/4 sin(7/5 - 27 t) - 4/3 sin(7/5 - 26 t) - 62/5 sin(10/7 - 25 t) - 37/3 sin(3/2 - 21 t) - 44/7 sin(7/5 - 18 t) - 123/5 sin(3/2 - 17 t) - 11 sin(14/9 - 15 t) - 16/7 sin(5/4 - 14 t) - 101/10 sin(14/9 - 13 t) - 23/5 sin(7/5 - 12 t) - 5/6 sin(6/5 - 10 t) - 337/8 sin(11/7 - 5 t) + 1388/5 sin(t + 8/5) + 2461/7 sin(2 t + 8/5) + 214/7 sin(3 t + 8/5) + 328/5 sin(4 t + 8/5) + 188/5 sin(6 t + 8/5) + 37/6 sin(7 t + 5/3) + 218/7 sin(8 t + 8/5) + 377/18 sin(9 t + 13/8) + 5 sin(11 t + 5/3) + 58/3 sin(16 t + 13/8) + 94/5 sin(19 t + 5/3) + 67/7 sin(20 t + 13/8) + 52/5 sin(22 t + 5/3) + 41/5 sin(23 t + 7/4) + 47/8 sin(24 t + 5/3) + 47/5 sin(29 t + 7/4) + 19/3 sin(32 t + 7/4) + 12/5 sin(33 t + 7/4) + 4/7 sin(34 t + 8/5) - 3169/5) θ(7 π - t) θ(t - 3 π) + (-44/5 sin(11/7 - 18 t) - 13 sin(11/7 - 17 t) - 54/11 sin(14/9 - 16 t) - 71/5 sin(11/7 - 13 t) - 28/3 sin(11/7 - 11 t) - 89/7 sin(11/7 - 10 t) - 358/11 sin(11/7 - 7 t) + 131/4 sin(t + 8/5) + 1490/7 sin(2 t + 8/5) + 139/4 sin(3 t + 8/5) + 100 sin(4 t + 8/5) + 55/7 sin(5 t + 33/7) + 95/4 sin(6 t + 8/5) + 41/2 sin(8 t + 8/5) + 46/5 sin(9 t + 11/7) + 33/4 sin(12 t + 8/5) + 23/2 sin(14 t + 8/5) + 77/6 sin(15 t + 8/5) + 31/3 sin(19 t + 8/5) + 58/5 sin(20 t + 8/5) + 9 sin(21 t + 33/7) + 8/3 sin(22 t + 8/5) + 1/9 sin(23 t + 5/9) + 3/5 sin(24 t + 7/5) + 1/5 sin(25 t + 32/7) + 3/5 sin(26 t + 23/5) + 8/3 sin(27 t + 8/5) + 7/4 sin(28 t + 8/5) + 1/6 sin(29 t + 13/3) - 979) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-13/12 sin(11/7 - 12 t) - 23/8 sin(11/7 - 11 t) - 4/3 sin(11/7 - 10 t) - 11/9 sin(11/7 - 7 t) - 44/7 sin(11/7 - 6 t) - 44/3 sin(11/7 - 3 t) + 298/13 sin(t + 11/7) + 47/7 sin(2 t + 11/7) + 33 sin(4 t + 33/7) + 46/5 sin(5 t + 11/7) + 2/3 sin(8 t + 17/11) + 4/3 sin(9 t + 8/5) - 145/3) θ(87 π - t) θ(t - 83 π) + (-1/6 sin(11/7 - 10 t) - 1/4 sin(14/9 - 4 t) + 106/5 sin(t + 11/7) + 53/9 sin(2 t + 33/7) + 136/7 sin(3 t + 11/7) + 2/3 sin(5 t + 8/5) + 5/9 sin(6 t + 14/9) + 19/10 sin(7 t + 11/7) + 11/6 sin(8 t + 33/7) + 17/9 sin(9 t + 11/7) + 2/9 sin(11 t + 8/5) + 1/8 sin(12 t + 33/7) - 931/2) θ(83 π - t) θ(t - 79 π) + (-1/14 sin(9/7 - 12 t) - 37/10 sin(11/7 - 11 t) - 7/2 sin(11/7 - 7 t) - 11/9 sin(14/9 - 6 t) - 58/7 sin(11/7 - 5 t) - 266/9 sin(11/7 - 3 t) + 2087/18 sin(t + 11/7) + 149/10 sin(2 t + 11/7) + 15/7 sin(4 t + 11/7) + 27/26 sin(8 t + 11/7) + 21/10 sin(9 t + 33/7) + 7/4 sin(10 t + 11/7) - 904/5) θ(79 π - t) θ(t - 75 π) + (-47/16 sin(11/7 - 10 t) - 97/12 sin(11/7 - 8 t) - 7/10 sin(13/9 - 6 t) - 59/5 sin(11/7 - 5 t) - 43/6 sin(11/7 - 3 t) + 194/7 sin(t + 33/7) + 2/3 sin(2 t + 20/13) + 13/2 sin(4 t + 33/7) + 19/4 sin(7 t + 11/7) + 50/17 sin(9 t + 33/7) + 5/4 sin(11 t + 3/2) + 3/8 sin(12 t + 3/2) - 81/4) θ(75 π - t) θ(t - 71 π) + (-2/5 sin(7/5 - 36 t) - 7/10 sin(7/6 - 35 t) - 7/4 sin(7/5 - 34 t) - 9/5 sin(3/2 - 32 t) - 12/7 sin(3/2 - 30 t) - sin(14/9 - 27 t) - 10/7 sin(7/5 - 26 t) - 1/6 sin(8/9 - 25 t) - 1/3 sin(3/2 - 19 t) - 7/10 sin(13/10 - 18 t) - sin(11/8 - 15 t) - 11/3 sin(13/9 - 14 t) - 31/16 sin(3/2 - 13 t) - 71/6 sin(14/9 - 12 t) - 29/14 sin(5/6 - 11 t) - 142/3 sin(17/11 - 10 t) - 3/7 sin(15/14 - 6 t) - 19/7 sin(3/2 - 5 t) - 13/6 sin(11/7 - 4 t) + 7 sin(t + 8/5) + 16/3 sin(2 t + 11/7) + 7/2 sin(3 t + 33/7) + 11/10 sin(7 t + 61/30) + 173/9 sin(8 t + 8/5) + 6 sin(9 t + 3/2) + 1/6 sin(16 t + 51/13) + 2/3 sin(17 t + 5/3) + 1/2 sin(20 t + 23/5) + 2/3 sin(21 t + 17/11) + 1/11 sin(22 t + 7/9) + 1/6 sin(23 t + 15/8) + 1/3 sin(24 t + 21/11) + 8/3 sin(28 t + 5/3) + 11/9 sin(29 t + 7/4) + 4/7 sin(31 t + 6/5) + 1/6 sin(33 t + 1/43) + 5497/10) θ(71 π - t) θ(t - 67 π) + (-3/4 sin(4/3 - 49 t) - 3/5 sin(3/2 - 47 t) - 7/8 sin(14/9 - 43 t) - 1/5 sin(11/8 - 40 t) - 3/4 sin(13/9 - 38 t) - 1/10 sin(3/7 - 36 t) - 29/9 sin(11/7 - 31 t) - 11/3 sin(20/13 - 28 t) - 30/7 sin(11/7 - 26 t) - 67/3 sin(11/7 - 13 t) - 168/13 sin(11/7 - 10 t) - 65/4 sin(11/7 - 8 t) - 95/9 sin(11/7 - 5 t) + 39 sin(t + 33/7) + 43/6 sin(2 t + 11/7) + 68/9 sin(3 t + 11/7) + 1/5 sin(4 t + 47/10) + 51/4 sin(6 t + 8/5) + 37/3 sin(7 t + 33/7) + 121/4 sin(9 t + 11/7) + 2/5 sin(11 t + 3/2) + 207/8 sin(12 t + 11/7) + 137/7 sin(14 t + 11/7) + 109/12 sin(15 t + 3/2) + 31/3 sin(16 t + 8/5) + 216/11 sin(17 t + 33/7) + 4/7 sin(18 t + 23/11) + 195/14 sin(19 t + 11/7) + 150/7 sin(20 t + 11/7) + 73/9 sin(21 t + 17/11) + 29/8 sin(22 t + 11/7) + 19/9 sin(23 t + 8/5) + 21/22 sin(24 t + 14/3) + 29/5 sin(25 t + 47/10) + 7/6 sin(27 t + 5/3) + 12/13 sin(29 t + 14/3) + 9/8 sin(30 t + 18/11) + 7/4 sin(32 t + 8/5) + 12/7 sin(33 t + 11/7) + 1/2 sin(34 t + 10/7) + 16/9 sin(35 t + 8/5) + 3/4 sin(37 t + 12/7) + 1/5 sin(39 t + 19/10) + 5/4 sin(41 t + 47/10) + 1/17 sin(42 t + 13/5) + 16/9 sin(44 t + 14/9) + 1/5 sin(45 t + 9/10) + 3/4 sin(46 t + 11/7) + 18/19 sin(48 t + 5/3) + 29/10 sin(50 t + 11/7) + 2473/6) θ(67 π - t) θ(t - 63 π) + (-1/16 sin(18/17 - 35 t) - 57 sin(11/7 - 5 t) - 193/5 sin(11/7 - 2 t) + 185/6 sin(t + 11/7) + 698/9 sin(3 t + 11/7) + 125/3 sin(4 t + 11/7) + 173/9 sin(6 t + 11/7) + 26/3 sin(7 t + 47/10) + 3/8 sin(8 t + 13/3) + 94/5 sin(9 t + 33/7) + 19/8 sin(10 t + 11/7) + 40/7 sin(11 t + 14/9) + 44/3 sin(12 t + 14/9) + 122/11 sin(13 t + 11/7) + 21/5 sin(14 t + 11/7) + 8/3 sin(15 t + 14/3) + 4/7 sin(16 t + 8/5) + 13/4 sin(17 t + 11/7) + 41/6 sin(18 t + 11/7) + 23/9 sin(19 t + 20/13) + 9/10 sin(20 t + 11/7) + 13/6 sin(21 t + 33/7) + 5/8 sin(22 t + 5/3) + 1/5 sin(23 t + 31/7) + 9/7 sin(24 t + 11/7) + 1/4 sin(25 t + 37/8) + 9/10 sin(26 t + 3/2) + 2/3 sin(27 t + 13/9) + 35/17 sin(28 t + 14/9) + 5/7 sin(29 t + 11/7) + 1/7 sin(30 t + 13/8) + sin(31 t + 14/3) + 1/8 sin(32 t + 3/2) + 2/9 sin(33 t + 11/7) + 17/16 sin(34 t + 14/9) + 1/10 sin(36 t + 2) + 4/7 sin(37 t + 37/8) + 1/9 sin(38 t + 14/3) + 3/10 sin(39 t + 47/10) + 8212/9) θ(63 π - t) θ(t - 59 π) + (-27/2 sin(11/7 - 4 t) - 5237/44 sin(11/7 - 2 t) - 1269/8 sin(11/7 - t) + 177/4 sin(3 t + 11/7) + 53/5 sin(5 t + 11/7) + 19/6 sin(6 t + 8/5) + 8 sin(7 t + 8/5) + 5/4 sin(8 t + 13/8) + 32/5 sin(9 t + 8/5) + 9/7 sin(10 t + 51/11) + 19/7 sin(11 t + 8/5) + 3/4 sin(12 t + 33/7) + 4571/5) θ(59 π - t) θ(t - 55 π) + (-1/9 sin(16/11 - 61 t) - 4/7 sin(3/2 - 60 t) - 2/7 sin(13/9 - 57 t) - 3/8 sin(16/11 - 55 t) - 1/7 sin(10/7 - 54 t) - 4/5 sin(3/2 - 51 t) - 2/5 sin(3/2 - 49 t) - 2/3 sin(3/2 - 46 t) - 3/5 sin(3/2 - 45 t) - 1/8 sin(10/7 - 42 t) - 1/5 sin(14/9 - 41 t) - 2/7 sin(11/7 - 35 t) - 11/7 sin(11/7 - 33 t) - 10/7 sin(14/9 - 31 t) - 4/7 sin(3/2 - 26 t) - 18/5 sin(14/9 - 23 t) - 83/14 sin(14/9 - 19 t) - 19/6 sin(20/13 - 18 t) - 1/5 sin(5/8 - 14 t) - 41/9 sin(14/9 - 13 t) - 9/4 sin(14/9 - 10 t) - 247/6 sin(11/7 - 8 t) - 275/6 sin(11/7 - 7 t) - 1324/21 sin(11/7 - 4 t) + 123/7 sin(t + 33/7) + 451/4 sin(2 t + 33/7) + 164/9 sin(3 t + 11/7) + 406/9 sin(5 t + 11/7) + 96/5 sin(6 t + 8/5) + 19/5 sin(9 t + 5/3) + 29/8 sin(11 t + 3/2) + 115/4 sin(12 t + 11/7) + 29/9 sin(15 t + 8/5) + 3 sin(16 t + 13/8) + 14/3 sin(17 t + 8/5) + 16/3 sin(20 t + 8/5) + 24/5 sin(21 t + 8/5) + 8/5 sin(22 t + 33/7) + 17/5 sin(24 t + 33/7) + 3/2 sin(25 t + 23/5) + 1/12 sin(27 t + 1/6) + 12/5 sin(28 t + 8/5) + 1/2 sin(29 t + 10/7) + 16/11 sin(30 t + 14/9) + 3/7 sin(32 t + 13/8) + 9/5 sin(34 t + 47/10) + 4/7 sin(36 t + 17/11) + 11/12 sin(37 t + 11/7) + 8/7 sin(38 t + 11/7) + 2/3 sin(39 t + 8/5) + 2/7 sin(40 t + 14/3) + 1/5 sin(43 t + 23/5) + 3/7 sin(44 t + 5/3) + 2/5 sin(47 t + 5/3) + 7/9 sin(48 t + 13/8) + 2/5 sin(52 t + 5/3) + 7/13 sin(53 t + 5/3) + 1/22 sin(56 t + 33/17) + 1/2 sin(58 t + 8/5) + 1/19 sin(59 t + 16/9) + 3191/5) θ(55 π - t) θ(t - 51 π) + (-1/5 sin(3/2 - 12 t) - 5/4 sin(14/9 - 11 t) - 23/7 sin(11/7 - 9 t) - 25/6 sin(11/7 - 8 t) - 1/3 sin(14/9 - 7 t) - 4/7 sin(10/7 - 6 t) + 191/16 sin(t + 33/7) + 214/3 sin(2 t + 11/7) + 57/4 sin(3 t + 11/7) + 37/6 sin(4 t + 33/7) + 23/4 sin(5 t + 11/7) + 31/10 sin(10 t + 11/7) + 731/9) θ(51 π - t) θ(t - 47 π) + (-1/7 sin(9/7 - 37 t) - 1/4 sin(11/7 - 33 t) - 6/11 sin(13/9 - 32 t) - 1/2 sin(7/5 - 30 t) - 18/11 sin(16/11 - 27 t) - 17/8 sin(20/13 - 24 t) - 7/13 sin(14/9 - 18 t) - 3/7 sin(10/7 - 17 t) - 21/10 sin(14/9 - 16 t) - 23/5 sin(11/7 - 11 t) - 56/5 sin(17/11 - 10 t) - 9 sin(17/11 - 7 t) - 55/6 sin(14/9 - 5 t) - 104/3 sin(20/13 - 4 t) - 969/7 sin(11/7 - 3 t) + 92/7 sin(t + 8/5) + 103/2 sin(2 t + 11/7) + 121/7 sin(6 t + 11/7) + 144/13 sin(8 t + 8/5) + 11/2 sin(9 t + 13/8) + 42/5 sin(12 t + 13/8) + 31/6 sin(13 t + 33/7) + 20/3 sin(14 t + 13/8) + 33/7 sin(15 t + 5/3) + 7/13 sin(19 t + 19/10) + 22/7 sin(20 t + 12/7) + 6/13 sin(21 t + 15/7) + 16/7 sin(22 t + 12/7) + 21/22 sin(23 t + 9/5) + 31/30 sin(25 t + 12/7) + 2/7 sin(26 t + 10/7) + 7/3 sin(28 t + 5/3) + 1/4 sin(29 t + 2) + 1/11 sin(31 t + 2) + 5/8 sin(34 t + 7/4) + 1/11 sin(35 t + 28/11) + 14/15 sin(36 t + 12/7) + 1/2 sin(38 t + 33/7) + 5/7 sin(39 t + 9/5) - 512/9) θ(47 π - t) θ(t - 43 π) + (-5/8 sin(10/7 - 37 t) - 1/2 sin(19/13 - 36 t) - 7/15 sin(13/9 - 34 t) - 8/7 sin(11/7 - 32 t) - 5/7 sin(14/9 - 26 t) - 8/7 sin(11/7 - 24 t) - 7/5 sin(3/2 - 23 t) - 27/8 sin(20/13 - 20 t) - 3/4 sin(19/13 - 17 t) - 10/7 sin(20/13 - 16 t) - 27/14 sin(11/7 - 11 t) - 262/7 sin(11/7 - 2 t) + 121/5 sin(t + 33/7) + 76/5 sin(3 t + 8/5) + 217/10 sin(4 t + 33/7) + 23/7 sin(5 t + 47/10) + 9 sin(6 t + 33/7) + 26/9 sin(7 t + 8/5) + 10/3 sin(8 t + 47/10) + 10/3 sin(9 t + 47/10) + 37/6 sin(10 t + 33/7) + 28/5 sin(12 t + 8/5) + 44/9 sin(13 t + 11/7) + 31/6 sin(14 t + 11/7) + 27/11 sin(15 t + 11/7) + 1/2 sin(18 t + 3/2) + 6/7 sin(19 t + 14/9) + 7/5 sin(21 t + 11/7) + 5/4 sin(22 t + 11/7) + 22/23 sin(25 t + 8/5) + 13/12 sin(27 t + 8/5) + 2/5 sin(28 t + 13/8) + 3/2 sin(29 t + 11/7) + 1/7 sin(30 t + 12/7) + 3/5 sin(31 t + 8/5) + 2/5 sin(33 t + 11/7) + 8/7 sin(35 t + 8/5) + 5/11 sin(38 t + 14/9) + 1565/7) θ(43 π - t) θ(t - 39 π) + (-489/5 sin(11/7 - 2 t) + 557/4 sin(t + 11/7) + 763/11 sin(3 t + 11/7) + 73/7 sin(4 t + 17/11) + 53/9 sin(5 t + 11/7) + 127/5 sin(6 t + 33/7) + 40/7 sin(7 t + 14/3) + 4 sin(8 t + 14/9) + 75/7 sin(9 t + 14/9) + 44/15 sin(10 t + 19/13) + 193/24 sin(11 t + 14/9) + 1/8 sin(12 t + 7/13) + 3/4 sin(13 t + 33/7) + 10/11 sin(14 t + 10/7) + 23/8 sin(15 t + 14/9) + 38/13 sin(16 t + 14/3) + 11/7 sin(17 t + 37/8) + 7/9 sin(18 t + 23/5) + 2/5 sin(19 t + 50/11) + 3 sin(20 t + 47/10) + 2/5 sin(21 t + 12/7) + 13/7 sin(22 t + 3/2) + 41/20 sin(23 t + 3/2) + 8/9 sin(24 t + 10/7) + 9/8 sin(25 t + 19/13) + 1/7 sin(26 t + 3/4) + 11/8 sin(27 t + 20/13) + 1/7 sin(28 t + 7/6) + 2/5 sin(29 t + 13/10) + 11/12 sin(30 t + 16/11) + 8/9 sin(31 t + 17/11) + 6/7 sin(32 t + 33/7) + 2/5 sin(33 t + 17/10) + 4/9 sin(34 t + 37/8) + 1/2 sin(35 t + 37/8) + 1/3 sin(36 t + 23/5) + 1/14 sin(37 t + 20/7) + 17/18 sin(38 t + 37/8) + 1/24 sin(39 t + 25/8) + 392/3) θ(39 π - t) θ(t - 35 π) + (-1/11 sin(14/9 - 28 t) - 11/3 sin(11/7 - 4 t) + 33/13 sin(t + 13/8) + 319/6 sin(2 t + 33/7) + 58/7 sin(3 t + 8/5) + 12/13 sin(5 t + 11/7) + 6/5 sin(6 t + 14/9) + 40/7 sin(7 t + 11/7) + 9/7 sin(8 t + 33/7) + 25/8 sin(9 t + 33/7) + 5/4 sin(10 t + 33/7) + 3/2 sin(11 t + 14/9) + 6/5 sin(12 t + 14/9) + 10/7 sin(13 t + 14/3) + 15/7 sin(14 t + 47/10) + 3/5 sin(15 t + 33/7) + 5/6 sin(16 t + 11/7) + 4/5 sin(17 t + 33/7) + 10/7 sin(18 t + 14/3) + 4/3 sin(19 t + 14/3) + sin(20 t + 14/3) + 5/11 sin(21 t + 33/7) + 1/5 sin(22 t + 8/5) + 1/3 sin(23 t + 47/10) + 3/5 sin(24 t + 14/3) + 1/3 sin(25 t + 37/8) + 2/5 sin(26 t + 14/9) + 1/5 sin(27 t + 19/13) + 1/3 sin(29 t + 47/10) + 1/11 sin(30 t + 23/5) + 1/11 sin(31 t + 14/3) - 932/19) θ(35 π - t) θ(t - 31 π) + (-1/2 sin(16/11 - 36 t) - 3/5 sin(3/2 - 31 t) - 3/10 sin(3/2 - 30 t) - 34/35 sin(14/9 - 28 t) - 4/5 sin(17/11 - 27 t) - 5/7 sin(13/9 - 26 t) - sin(17/11 - 21 t) - 9/5 sin(17/11 - 19 t) - 10/11 sin(19/13 - 16 t) - 5/7 sin(14/9 - 14 t) - 9/7 sin(17/11 - 12 t) - 26/11 sin(17/11 - 11 t) - 14/5 sin(3/2 - 10 t) - 191/8 sin(14/9 - 5 t) - 72/13 sin(14/9 - 4 t) - 683/10 sin(11/7 - t) + 71/7 sin(2 t + 11/7) + 242/7 sin(3 t + 8/5) + 185/7 sin(6 t + 11/7) + 61/20 sin(7 t + 8/5) + 68/3 sin(8 t + 8/5) + 55/8 sin(9 t + 8/5) + 19/13 sin(13 t + 33/7) + 1/2 sin(15 t + 13/8) + 7/13 sin(17 t + 5/3) + 2 sin(18 t + 8/5) + 5/4 sin(20 t + 11/7) + 5/8 sin(22 t + 11/7) + 3/2 sin(23 t + 18/11) + 5/7 sin(24 t + 13/8) + 3/10 sin(25 t + 33/7) + 1/6 sin(29 t + 31/7) + 4/5 sin(32 t + 5/3) + 1/3 sin(33 t + 14/3) + 3/10 sin(34 t + 5/3) + 3/10 sin(35 t + 33/7) - 99) θ(31 π - t) θ(t - 27 π) + (-1/14 sin(3/5 - 21 t) - 1/18 sin(4/9 - 12 t) - 21/10 sin(7/5 - 4 t) + 548/9 sin(t + 33/7) + 587/12 sin(2 t + 11/7) + 365/8 sin(3 t + 11/7) + 61/6 sin(5 t + 11/7) + 26/5 sin(6 t + 33/7) + 18/5 sin(7 t + 11/7) + 13/7 sin(8 t + 3/2) + 14/9 sin(9 t + 3/2) + 7/5 sin(10 t + 17/11) + 1/9 sin(11 t + 7/4) + 2 sin(13 t + 3/2) + 1/6 sin(14 t + 12/11) + 6/5 sin(15 t + 3/2) + 4/7 sin(16 t + 33/7) + 7/11 sin(18 t + 16/11) + 2/5 sin(19 t + 9/7) + 10/7 sin(20 t + 3/2) + 2/7 sin(22 t + 14/9) + 2/9 sin(23 t + 9/2) + 1/5 sin(24 t + 37/8) - 1088/33) θ(27 π - t) θ(t - 23 π) + (-9/7 sin(14/9 - 34 t) - 3/8 sin(15/11 - 33 t) - 9/4 sin(14/9 - 29 t) - 57/28 sin(14/9 - 25 t) - 19/5 sin(3/2 - 18 t) - 67/10 sin(14/9 - 17 t) - 154/9 sin(11/7 - 10 t) + 246/7 sin(t + 33/7) + 796/9 sin(2 t + 11/7) + 218/7 sin(3 t + 33/7) + 25/7 sin(4 t + 14/3) + 211/7 sin(5 t + 8/5) + 352/7 sin(6 t + 8/5) + 7/3 sin(7 t + 21/11) + 259/10 sin(8 t + 8/5) + 19/6 sin(9 t + 8/5) + 56/5 sin(11 t + 11/7) + 91/9 sin(12 t + 33/7) + 79/9 sin(13 t + 8/5) + 9/7 sin(14 t + 16/9) + 26/7 sin(15 t + 5/3) + 22/3 sin(16 t + 8/5) + 26/7 sin(19 t + 8/5) + sin(20 t + 13/7) + 34/7 sin(21 t + 13/8) + 1/7 sin(22 t + 7/2) + 1/7 sin(23 t + 13/6) + 2/9 sin(24 t + 9/2) + 23/7 sin(26 t + 5/3) + 31/9 sin(27 t + 12/7) + 19/18 sin(28 t + 17/10) + 2/7 sin(30 t + 9/5) + 15/7 sin(31 t + 12/7) + 12/7 sin(32 t + 12/7) + 23/22 sin(35 t + 5/3) + 2/5 sin(36 t + 17/9) - 1613/8) θ(23 π - t) θ(t - 19 π) + (-10/3 sin(11/7 - 11 t) + 395/7 sin(t + 11/7) + 246/7 sin(2 t + 33/7) + 57/4 sin(3 t + 33/7) + 413/18 sin(4 t + 11/7) + 67/4 sin(5 t + 33/7) + 107/5 sin(6 t + 33/7) + 10 sin(7 t + 33/7) + 9/7 sin(8 t + 17/11) + 23/7 sin(9 t + 11/7) + 21/4 sin(10 t + 11/7) + 24/5 sin(12 t + 11/7) + 28/9 sin(13 t + 33/7) + sin(14 t + 11/7) + 11/3 sin(15 t + 47/10) + 1/7 sin(16 t + 40/9) + 10/7 sin(17 t + 33/7) + 6/11 sin(18 t + 13/8) + 15/11 sin(19 t + 47/10) + 6/13 sin(20 t + 14/3) - 1119/4) θ(19 π - t) θ(t - 15 π) + (-6/5 sin(11/7 - 24 t) + 28 sin(t + 11/7) + 41 sin(2 t + 33/7) + 83/6 sin(3 t + 33/7) + 101/4 sin(4 t + 33/7) + 86/9 sin(5 t + 33/7) + 28 sin(6 t + 33/7) + 10/7 sin(7 t + 23/5) + 99/8 sin(8 t + 33/7) + 11/7 sin(9 t + 8/5) + 34/5 sin(10 t + 33/7) + 17/5 sin(11 t + 14/9) + 50/9 sin(12 t + 14/9) + 13/4 sin(13 t + 14/9) + 9/5 sin(14 t + 47/10) + 4/5 sin(15 t + 33/7) + 13/7 sin(16 t + 14/3) + 13/4 sin(17 t + 14/3) + 65/32 sin(18 t + 14/3) + 41/20 sin(19 t + 33/7) + 4/9 sin(20 t + 37/8) + 1/37 sin(21 t + 8/5) + 16/9 sin(22 t + 3/2) + 15/8 sin(23 t + 14/9) + 3/5 sin(25 t + 13/8) + 15/14 sin(26 t + 33/7) - 1559/9) θ(15 π - t) θ(t - 11 π) + (-18/19 sin(16/11 - 37 t) - 7/6 sin(1/7 - 35 t) - 27/13 sin(4/5 - 25 t) - 30/29 sin(1/10 - 20 t) - 31/9 sin(7/5 - 17 t) + 2009/6 sin(t + 11/7) + 365/9 sin(2 t + 14/3) + 923/8 sin(3 t + 33/7) + 431/7 sin(4 t + 11/7) + 177/5 sin(5 t + 33/7) + 137/3 sin(6 t + 14/3) + 281/10 sin(7 t + 14/3) + 79/3 sin(8 t + 14/3) + 103/7 sin(9 t + 37/8) + 104/7 sin(10 t + 3/2) + 23/6 sin(11 t + 4/3) + 274/13 sin(12 t + 3/2) + 38/3 sin(13 t + 7/5) + 64/9 sin(14 t + 11/7) + 25/3 sin(15 t + 51/11) + 12/5 sin(16 t + 11/6) + 153/10 sin(18 t + 13/9) + 71/7 sin(19 t + 10/7) + 61/10 sin(21 t + 8/5) + 1/6 sin(22 t + 11/9) + 19/4 sin(23 t + 33/7) + 11/2 sin(24 t + 13/8) + 85/9 sin(26 t + 16/11) + 1/6 sin(27 t + 11/12) + 30/7 sin(28 t + 33/7) + 83/12 sin(29 t + 14/9) + 32/11 sin(30 t + 10/11) + 247/41 sin(31 t + 16/11) + 9/7 sin(32 t + 13/10) + 22/7 sin(33 t + 33/7) + 19/5 sin(34 t + 8/5) + 19/6 sin(36 t + 17/11) + 7/3 sin(38 t + 32/7) + 4/7 sin(39 t + 11/4) + 8/5 sin(40 t + 12/13) + 17/6 sin(41 t + 9/7) + 7/6 sin(42 t + 7/5) + 13/6 sin(43 t + 23/5) + 1/5 sin(44 t + 45/22) + 7/3 sin(45 t + 4/3) + 18/17 sin(46 t + 5/7) + 3/7 sin(47 t + 19/7) - 713/3) θ(11 π - t) θ(t - 7 π) + (-1/2 sin(11/7 - 22 t) - 16/9 sin(14/9 - 10 t) - 716/11 sin(11/7 - 2 t) + 251/7 sin(t + 11/7) + 19/6 sin(3 t + 47/10) + 163/8 sin(4 t + 11/7) + 71/4 sin(5 t + 33/7) + 100/7 sin(6 t + 47/10) + 63/5 sin(7 t + 33/7) + 8/5 sin(8 t + 23/5) + 13/12 sin(9 t + 14/3) + 9/7 sin(11 t + 14/9) + 12/5 sin(12 t + 11/7) + 1/22 sin(13 t + 3/8) + 2/3 sin(14 t + 47/10) + 19/8 sin(15 t + 47/10) + 1/4 sin(16 t + 17/4) + 3/4 sin(17 t + 14/3) + 3/4 sin(18 t + 37/8) + 2/3 sin(19 t + 37/8) + 3/5 sin(20 t + 33/7) + 1/5 sin(21 t + 9/5) + 4/7 sin(23 t + 33/7) + 1/8 sin(24 t + 47/10) + 1717/44) θ(7 π - t) θ(t - 3 π) + (-11/12 sin(13/9 - 19 t) - 24/25 sin(10/7 - 17 t) - 5/8 sin(10/11 - 16 t) - 11/7 sin(13/9 - 15 t) - 4/5 sin(13/12 - 12 t) - 29/5 sin(10/7 - 11 t) - 22/23 sin(5/6 - 10 t) - 11/3 sin(17/11 - 9 t) - 417/16 sin(14/9 - 3 t) + 502/11 sin(t + 8/5) + 189/19 sin(2 t + 8/5) + 63/8 sin(4 t + 20/13) + 27/5 sin(5 t + 14/3) + 20/7 sin(6 t + 13/8) + 16/7 sin(7 t + 5/3) + 13/6 sin(8 t + 5/3) + 2/5 sin(13 t + 22/5) + 7/4 sin(14 t + 17/10) + 3/5 sin(18 t + 8/5) - 3461/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((47/2 sin(t + 11/7) + 65/2 sin(2 t + 11/7) + 129/13 sin(3 t + 11/7) + 10/3 sin(4 t + 33/7) + 103/34 sin(5 t + 11/7) + 1/2 sin(6 t + 8/5) + 1/4 sin(7 t + 11/7) + 8/7 sin(8 t + 11/7) + 2 sin(9 t + 33/7) + 8/5 sin(10 t + 11/7) + 3/4 sin(11 t + 33/7) + 2/7 sin(12 t + 8/5) - 1931/5) θ(87 π - t) θ(t - 83 π) + (2731/39 sin(t + 11/7) + 122/5 sin(2 t + 11/7) + 145/24 sin(3 t + 33/7) + 36/5 sin(4 t + 11/7) + 2/7 sin(5 t + 8/5) + 3/7 sin(6 t + 8/5) + 5/2 sin(7 t + 11/7) + 1/20 sin(8 t + 47/10) + 5/11 sin(9 t + 8/5) + 11/7 sin(10 t + 11/7) + 4/5 sin(11 t + 33/7) + 8/7 sin(12 t + 11/7) - 505) θ(83 π - t) θ(t - 79 π) + (-5/3 sin(11/7 - 9 t) - 32/7 sin(11/7 - 7 t) - 488/13 sin(11/7 - 4 t) - 7/13 sin(4/3 - 3 t) - 73/2 sin(11/7 - 2 t) - 350/13 sin(11/7 - t) + 16/3 sin(5 t + 11/7) + 13/5 sin(6 t + 8/5) + 2/5 sin(8 t + 8/5) + 1/9 sin(10 t + 40/9) + 19/5 sin(11 t + 8/5) + 1/5 sin(12 t + 13/8) - 608/5) θ(79 π - t) θ(t - 75 π) + (-547/42 sin(11/7 - 5 t) - 134/5 sin(11/7 - 3 t) - 223/5 sin(11/7 - 2 t) + 227/7 sin(t + 33/7) + 136/7 sin(4 t + 11/7) + 23/10 sin(6 t + 14/9) + 12/5 sin(7 t + 8/5) + 13/6 sin(8 t + 14/9) + 6/5 sin(9 t + 47/10) + sin(10 t + 37/8) + 1/8 sin(11 t + 9/5) + 23/7 sin(12 t + 11/7) - 457/3) θ(75 π - t) θ(t - 71 π) + (-3/10 sin(7/6 - 32 t) - 9/10 sin(19/13 - 31 t) - 5/4 sin(13/9 - 27 t) - 4/5 sin(4/3 - 26 t) - 5/8 sin(11/8 - 25 t) - 5/6 sin(10/7 - 24 t) - 3/2 sin(3/2 - 23 t) - 12/13 sin(10/7 - 17 t) - 5/7 sin(11/8 - 16 t) - 5/6 sin(10/7 - 12 t) - 7/2 sin(14/9 - 11 t) - 19/4 sin(11/7 - 7 t) - 7/3 sin(14/9 - 5 t) - 39/7 sin(11/7 - 3 t) - 456/5 sin(11/7 - t) + 27/7 sin(2 t + 3/2) + 45/44 sin(4 t + 33/7) + 23/8 sin(6 t + 14/9) + 8/7 sin(8 t + 11/7) + 3/7 sin(9 t + 33/7) + sin(10 t + 14/9) + 5/3 sin(13 t + 8/5) + 2/3 sin(14 t + 11/6) + 4/7 sin(15 t + 5/3) + 4/5 sin(18 t + 49/11) + 47/7 sin(19 t + 13/8) + 2/7 sin(20 t + 22/7) + 6/7 sin(21 t + 5/3) + 8/9 sin(22 t + 14/9) + 1/7 sin(28 t + 4/3) + 1/2 sin(29 t + 7/4) + 1/2 sin(30 t + 17/10) + 1/5 sin(33 t + 8/5) + 1/5 sin(34 t + 13/6) + 3/8 sin(35 t + 9/5) + 2/5 sin(36 t + 10/7) - 431/6) θ(71 π - t) θ(t - 67 π) + (-5/6 sin(14/9 - 28 t) - 4/7 sin(11/7 - 13 t) - 29/6 sin(11/7 - 5 t) - 9/8 sin(11/7 - 4 t) - 77/10 sin(11/7 - 3 t) + 766/7 sin(t + 33/7) + 37/2 sin(2 t + 33/7) + 33/7 sin(6 t + 11/7) + 8/9 sin(7 t + 11/7) + 17/7 sin(8 t + 33/7) + 5/2 sin(9 t + 33/7) + 4/9 sin(10 t + 47/10) + 7/6 sin(11 t + 14/9) + 4/7 sin(12 t + 17/11) + 3/8 sin(14 t + 14/3) + 2/5 sin(15 t + 37/8) + sin(16 t + 33/7) + 1/5 sin(17 t + 3/2) + 41/21 sin(18 t + 14/9) + 6/5 sin(19 t + 14/9) + 2/9 sin(20 t + 23/5) + 5/4 sin(21 t + 33/7) + 1/3 sin(22 t + 8/5) + 1/7 sin(23 t + 11/7) + 5/4 sin(24 t + 33/7) + 7/13 sin(25 t + 14/3) + 1/3 sin(26 t + 20/13) + 2/5 sin(27 t + 11/7) + 4/9 sin(29 t + 8/5) + 1/7 sin(30 t + 8/5) + 3/8 sin(31 t + 14/3) + 1/6 sin(32 t + 17/11) + 7/8 sin(33 t + 14/9) + 2/5 sin(34 t + 3/2) + 1/16 sin(35 t + 17/8) + 4/7 sin(36 t + 14/3) + 1/6 sin(37 t + 3/2) + 23/22 sin(38 t + 14/9) + 1/5 sin(39 t + 7/5) + 2/7 sin(40 t + 14/3) + 1/6 sin(41 t + 14/3) + 1/12 sin(42 t + 13/8) + 3/8 sin(43 t + 14/3) + 2/3 sin(44 t + 14/3) + 1/7 sin(45 t + 33/7) + 3/7 sin(46 t + 17/11) + 1/7 sin(47 t + 10/7) + 1/34 sin(48 t + 23/5) + 1/6 sin(49 t + 8/5) + 1/4 sin(50 t + 8/5) - 265/14) θ(67 π - t) θ(t - 63 π) + (-1/7 sin(3/2 - 32 t) - 1/5 sin(17/11 - 22 t) - 3/4 sin(11/7 - 20 t) - 8/5 sin(11/7 - 13 t) - 247/7 sin(11/7 - 3 t) + 101/8 sin(t + 33/7) + 32/3 sin(2 t + 33/7) + 1366/15 sin(4 t + 11/7) + 96/5 sin(5 t + 11/7) + 58/7 sin(6 t + 14/9) + 72/7 sin(7 t + 11/7) + 17/4 sin(8 t + 11/7) + 9/7 sin(9 t + 13/8) + 50/17 sin(10 t + 33/7) + 29/8 sin(11 t + 8/5) + 16/7 sin(12 t + 33/7) + 1/2 sin(14 t + 13/8) + 2/3 sin(15 t + 33/7) + 9/10 sin(16 t + 33/7) + 2/7 sin(17 t + 3/2) + 10/7 sin(18 t + 11/7) + 1/5 sin(19 t + 7/5) + 5/8 sin(21 t + 47/10) + sin(23 t + 11/7) + 1/5 sin(24 t + 14/3) + 13/14 sin(25 t + 47/10) + 13/8 sin(26 t + 14/3) + 3/4 sin(27 t + 14/3) + 1/3 sin(28 t + 14/3) + 5/6 sin(29 t + 14/9) + 2/7 sin(30 t + 13/9) + 1/16 sin(31 t + 10/7) + 1/5 sin(34 t + 11/7) + 5/8 sin(35 t + 11/7) + 1/2 sin(36 t + 17/11) + 1/11 sin(37 t + 7/5) + 1/20 sin(38 t + 33/7) + 1/34 sin(39 t + 9/5) - 256/5) θ(63 π - t) θ(t - 59 π) + (-900/7 sin(11/7 - t) + 549/7 sin(2 t + 11/7) + 116/7 sin(3 t + 8/5) + 6/7 sin(4 t + 5/3) + 93/7 sin(5 t + 8/5) + 47/5 sin(6 t + 8/5) + 32/5 sin(7 t + 8/5) + 7/2 sin(8 t + 8/5) + 69/17 sin(9 t + 8/5) + 7/4 sin(10 t + 8/5) + 16/7 sin(11 t + 8/5) + 21/22 sin(12 t + 8/5) - 694/9) θ(59 π - t) θ(t - 55 π) + (-1/4 sin(10/7 - 61 t) - 1/8 sin(5/6 - 58 t) - 1/12 sin(22/21 - 57 t) - 1/3 sin(3/2 - 55 t) - 1/5 sin(9/7 - 53 t) - 1/5 sin(15/14 - 49 t) - 1/4 sin(14/9 - 43 t) - 5/6 sin(17/11 - 41 t) - 1/4 sin(13/10 - 40 t) - 5/2 sin(14/9 - 35 t) - 3/4 sin(15/11 - 31 t) - 8/9 sin(11/7 - 27 t) - 11/4 sin(14/9 - 26 t) - 1/6 sin(4/5 - 25 t) - 38/9 sin(11/7 - 21 t) - 42/5 sin(11/7 - 20 t) - 69/10 sin(14/9 - 15 t) - 7/3 sin(13/9 - 12 t) - 41/5 sin(14/9 - 11 t) - 81/16 sin(3/2 - 7 t) - 114/7 sin(11/7 - 5 t) - 847/16 sin(11/7 - 4 t) + 85/4 sin(t + 11/7) + 319/3 sin(2 t + 33/7) + 23/3 sin(3 t + 14/3) + 1679/20 sin(6 t + 11/7) + 736/21 sin(8 t + 11/7) + 77/10 sin(9 t + 8/5) + 45 sin(10 t + 8/5) + 31/2 sin(13 t + 8/5) + 53/5 sin(14 t + 8/5) + 7/6 sin(16 t + 13/9) + 3/5 sin(17 t + 8/5) + 32/7 sin(18 t + 8/5) + 19/5 sin(19 t + 8/5) + 43/8 sin(22 t + 8/5) + 1/4 sin(23 t + 11/7) + 41/7 sin(24 t + 11/7) + 16/5 sin(28 t + 8/5) + 27/26 sin(29 t + 11/7) + 11/3 sin(30 t + 11/7) + 3/7 sin(32 t + 8/5) + 13/6 sin(33 t + 8/5) + 1/2 sin(34 t + 33/7) + 4/7 sin(36 t + 14/9) + 3/8 sin(37 t + 17/11) + 9/5 sin(38 t + 11/7) + 4/3 sin(39 t + 14/9) + 3/10 sin(42 t + 12/7) + 5/7 sin(44 t + 3/2) + 7/13 sin(45 t + 7/5) + 2/7 sin(46 t + 3/2) + 1/12 sin(47 t + 3/5) + 4/5 sin(48 t + 11/7) + 9/10 sin(50 t + 11/7) + 1/4 sin(51 t + 19/13) + 1/6 sin(52 t + 12/7) + 1/5 sin(54 t + 8/5) + 4/7 sin(56 t + 11/7) + 1/3 sin(59 t + 7/5) + 1/13 sin(60 t + 15/8) - 39/4) θ(55 π - t) θ(t - 51 π) + (-17/5 sin(11/7 - 10 t) - 16/7 sin(11/7 - 9 t) - 23/9 sin(14/9 - 8 t) - 169/34 sin(11/7 - 7 t) - 153/22 sin(11/7 - 6 t) - 83/5 sin(11/7 - 4 t) - 18 sin(11/7 - 2 t) + 17/9 sin(t + 11/7) + 93/8 sin(3 t + 11/7) + 57/8 sin(5 t + 11/7) + 4/9 sin(11 t + 3/2) + 7/6 sin(12 t + 14/9) + 37/2) θ(51 π - t) θ(t - 47 π) + (-4/3 sin(10/7 - 34 t) - 3/7 sin(9/7 - 33 t) - 3/8 sin(11/8 - 31 t) - 1/3 sin(6/5 - 28 t) - 20/9 sin(10/7 - 27 t) - 1/18 sin(8/7 - 26 t) - 17/16 sin(14/9 - 24 t) - 3/2 sin(20/13 - 22 t) - 1/4 sin(7/6 - 21 t) - 15/4 sin(3/2 - 18 t) - 47/9 sin(3/2 - 16 t) - 20/3 sin(3/2 - 14 t) - 53/8 sin(13/9 - 13 t) - 23/10 sin(4/3 - 12 t) - 111/16 sin(19/13 - 11 t) - 11/8 sin(5/4 - 10 t) - 13 sin(3/2 - 8 t) - 42/5 sin(3/2 - 7 t) - 31/3 sin(14/9 - 6 t) - 13/5 sin(16/11 - 5 t) - 149/6 sin(11/7 - t) + 11/10 sin(2 t + 23/5) + 331/8 sin(3 t + 8/5) + 29/7 sin(4 t + 47/10) + 1/2 sin(9 t + 3/4) + 50/17 sin(15 t + 3/2) + 25/24 sin(17 t + 4/3) + 5/8 sin(19 t + 10/7) + 19/20 sin(20 t + 12/7) + 17/7 sin(23 t + 13/8) + 3/5 sin(25 t + 8/5) + 5/7 sin(29 t + 5/3) + 1/2 sin(30 t + 14/9) + 1/9 sin(32 t + 7/6) + 1/2 sin(35 t + 11/7) + 1/6 sin(36 t + 29/7) + 2/5 sin(37 t + 8/5) + 3/8 sin(38 t + 23/5) + 18/19 sin(39 t + 17/10) - 33/13) θ(47 π - t) θ(t - 43 π) + (-1/21 sin(1/5 - 38 t) - 1/6 sin(11/9 - 33 t) - 2/9 sin(13/9 - 32 t) - 13/8 sin(3/2 - 31 t) - 33/34 sin(13/9 - 28 t) - 19/13 sin(11/7 - 27 t) - 8/3 sin(3/2 - 25 t) - 7/5 sin(3/2 - 23 t) - 1/6 sin(6/7 - 22 t) - 31/6 sin(14/9 - 20 t) - 33/13 sin(14/9 - 19 t) - 21/22 sin(7/5 - 15 t) - 4/9 sin(9/7 - 14 t) - 8/9 sin(10/7 - 12 t) - 251/8 sin(11/7 - 4 t) - 44/9 sin(11/7 - 3 t) - 263/6 sin(11/7 - t) + 66/5 sin(2 t + 11/7) + 38/7 sin(5 t + 11/7) + 96/5 sin(6 t + 11/7) + 183/10 sin(7 t + 11/7) + 9/4 sin(8 t + 3/2) + 131/9 sin(9 t + 11/7) + 2/5 sin(10 t + 11/10) + 18/5 sin(11 t + 14/9) + 13/8 sin(13 t + 3/2) + 23/5 sin(16 t + 11/7) + 23/7 sin(17 t + 14/9) + 48/47 sin(18 t + 8/5) + 39/5 sin(21 t + 8/5) + 61/20 sin(24 t + 8/5) + 4/3 sin(26 t + 8/5) + 5/4 sin(29 t + 8/5) + 17/7 sin(30 t + 8/5) + 14/13 sin(34 t + 11/7) + 6/5 sin(35 t + 11/7) + 1/12 sin(36 t + 3/5) + 5/8 sin(37 t + 3/2) + 192/7) θ(43 π - t) θ(t - 39 π) + (-4/7 sin(14/9 - 29 t) - 2/5 sin(17/11 - 23 t) - 1/13 sin(1/5 - 20 t) - 101/5 sin(11/7 - t) + 29/2 sin(2 t + 8/5) + 236/5 sin(3 t + 33/7) + 92/5 sin(4 t + 33/7) + 123/5 sin(5 t + 11/7) + 4/7 sin(6 t + 5/3) + 253/12 sin(7 t + 33/7) + 37/7 sin(8 t + 14/3) + 101/10 sin(9 t + 11/7) + 23/5 sin(10 t + 3/2) + 71/8 sin(11 t + 17/11) + 17/5 sin(12 t + 17/11) + 5/8 sin(13 t + 51/11) + 31/5 sin(14 t + 14/3) + 34/11 sin(15 t + 23/5) + 67/17 sin(16 t + 14/3) + 1/6 sin(17 t + 89/44) + 2/3 sin(18 t + 14/3) + 13/6 sin(19 t + 14/9) + 7/8 sin(21 t + 3/2) + 1/2 sin(22 t + 10/7) + 1/19 sin(24 t + 2) + 2/7 sin(25 t + 10/7) + 4/9 sin(26 t + 7/5) + sin(27 t + 3/2) + 7/6 sin(28 t + 3/2) + 2/5 sin(30 t + 8/5) + 1/6 sin(31 t + 11/8) + 1/7 sin(32 t + 7/5) + 1/4 sin(33 t + 11/7) + 1/6 sin(34 t + 13/3) + 7/5 sin(35 t + 37/8) + 2/5 sin(36 t + 13/3) + 7/6 sin(37 t + 23/5) + 4/3 sin(38 t + 23/5) + 3/5 sin(39 t + 58/13) - 473/4) θ(39 π - t) θ(t - 35 π) + (-3/10 sin(14/9 - 30 t) - 3/7 sin(17/11 - 27 t) - 2/7 sin(11/7 - 21 t) - 6/13 sin(14/9 - 19 t) - 21/10 sin(11/7 - 13 t) - 7/5 sin(11/7 - 11 t) - 101/9 sin(11/7 - 3 t) + 268/9 sin(t + 11/7) + 43/5 sin(2 t + 11/7) + 73/7 sin(4 t + 11/7) + 6/7 sin(5 t + 3/2) + 2/5 sin(6 t + 16/11) + 41/8 sin(7 t + 11/7) + 83/12 sin(8 t + 11/7) + 4/3 sin(9 t + 14/9) + 1/17 sin(10 t + 11/6) + 6/5 sin(12 t + 8/5) + 1/9 sin(14 t + 37/18) + 18/11 sin(15 t + 47/10) + 5/8 sin(16 t + 47/10) + 4/9 sin(17 t + 11/7) + 10/11 sin(18 t + 14/9) + 1/3 sin(20 t + 8/5) + 2/3 sin(22 t + 14/9) + 3/5 sin(23 t + 11/7) + 4/7 sin(24 t + 33/7) + sin(25 t + 14/3) + 1/19 sin(26 t + 11/5) + 1/4 sin(28 t + 13/8) + 2/7 sin(29 t + 14/3) + 1/4 sin(31 t + 13/8) + 396/5) θ(35 π - t) θ(t - 31 π) + (-1/8 sin(11/8 - 36 t) - 4/7 sin(16/11 - 32 t) - 4/11 sin(14/9 - 30 t) - 1/6 sin(14/9 - 29 t) - 1/6 sin(11/7 - 27 t) - 12/13 sin(3/2 - 26 t) - 3/7 sin(10/7 - 25 t) - 3/7 sin(11/8 - 21 t) - sin(17/11 - 20 t) - 5/8 sin(14/9 - 16 t) - 6/7 sin(3/2 - 15 t) - 9/10 sin(11/7 - 14 t) - 33/16 sin(17/11 - 11 t) - 19/6 sin(17/11 - 10 t) - 1/12 sin(6/5 - 9 t) - 42/5 sin(14/9 - 6 t) - 21/5 sin(11/7 - 3 t) + 138/7 sin(t + 11/7) + 1/23 sin(2 t + 37/8) + 47/10 sin(4 t + 8/5) + 47/6 sin(5 t + 11/7) + 149/11 sin(7 t + 8/5) + 55/14 sin(8 t + 8/5) + 5/8 sin(12 t + 37/8) + 1/3 sin(13 t + 12/7) + 1/8 sin(17 t + 10/7) + 1/28 sin(18 t + 15/4) + 23/12 sin(19 t + 13/8) + 1/49 sin(22 t + 43/11) + 7/10 sin(23 t + 5/3) + 1/11 sin(24 t + 19/9) + 1/23 sin(28 t + 13/4) + 1/5 sin(31 t + 11/7) + 4/9 sin(33 t + 13/8) + 1/3 sin(34 t + 7/4) + 1/4 sin(35 t + 5/3) + 975/7) θ(31 π - t) θ(t - 27 π) + (-6/5 sin(14/9 - 9 t) + 29/15 sin(t + 23/5) + 35 sin(2 t + 33/7) + 61/4 sin(3 t + 11/7) + 24/5 sin(4 t + 14/9) + 43/6 sin(5 t + 47/10) + 32/7 sin(6 t + 14/3) + 39/11 sin(7 t + 14/3) + 9/4 sin(8 t + 11/7) + 15/16 sin(10 t + 8/5) + 10/7 sin(11 t + 14/3) + 3/5 sin(12 t + 50/11) + 16/15 sin(13 t + 14/3) + 3/4 sin(14 t + 11/7) + 4/7 sin(15 t + 14/3) + 1/6 sin(16 t + 9/2) + 6/13 sin(17 t + 23/5) + 1/5 sin(18 t + 14/3) + 5/7 sin(19 t + 3/2) + 3/5 sin(20 t + 13/10) + 3/2 sin(21 t + 16/11) + 4/7 sin(22 t + 37/8) + 21/20 sin(23 t + 41/9) + 4/5 sin(24 t + 50/11) + 136) θ(27 π - t) θ(t - 23 π) + (-1/2 sin(7/5 - 36 t) - 7/8 sin(3/2 - 35 t) - 1/4 sin(10/9 - 32 t) - 12/7 sin(3/2 - 31 t) - 5/4 sin(10/7 - 27 t) - 5/2 sin(3/2 - 26 t) - 12/13 sin(10/7 - 23 t) - 4/3 sin(11/8 - 22 t) - 39/7 sin(3/2 - 21 t) - 31/10 sin(16/11 - 20 t) - 9/5 sin(3/2 - 17 t) - 12/11 sin(13/9 - 16 t) - 45/7 sin(17/11 - 15 t) - 17/7 sin(14/9 - 13 t) - 513/5 sin(11/7 - 3 t) - 366/5 sin(11/7 - 2 t) + 2925/22 sin(t + 11/7) + 217/18 sin(4 t + 14/9) + 5/3 sin(5 t + 17/10) + 29/3 sin(6 t + 8/5) + 32/5 sin(7 t + 33/7) + 125/6 sin(8 t + 8/5) + 3/4 sin(9 t + 4) + 77/5 sin(10 t + 8/5) + 1/4 sin(11 t + 11/5) + 16/7 sin(12 t + 13/8) + 9/7 sin(14 t + 3/2) + 18/5 sin(18 t + 8/5) + 1/3 sin(19 t + 11/7) + 4/5 sin(24 t + 14/9) + 7/10 sin(25 t + 19/13) + 2/5 sin(28 t + 7/5) + 1/3 sin(29 t + 33/7) + 5/9 sin(30 t + 10/7) + 1/5 sin(33 t + 9/2) + 11/10 sin(34 t + 11/7) - 1291/17) θ(23 π - t) θ(t - 19 π) + (-25/7 sin(14/9 - t) + 878/13 sin(2 t + 11/7) + 205/7 sin(3 t + 33/7) + 85/8 sin(4 t + 11/7) + 63/5 sin(5 t + 11/7) + 86/7 sin(6 t + 11/7) + 22/3 sin(7 t + 11/7) + 10/7 sin(8 t + 14/9) + 13/9 sin(9 t + 14/9) + 17/8 sin(10 t + 14/3) + 19/7 sin(11 t + 47/10) + 8/9 sin(12 t + 8/5) + 26/7 sin(13 t + 14/9) + 12/5 sin(14 t + 14/9) + 5/9 sin(15 t + 8/5) + 9/7 sin(16 t + 47/10) + 1/8 sin(17 t + 8/5) + 8/7 sin(18 t + 14/9) + 1/5 sin(19 t + 33/7) + 5/11 sin(20 t + 11/7) - 1763/6) θ(19 π - t) θ(t - 15 π) + (-1/2 sin(10/7 - 25 t) - 1/3 sin(17/11 - 22 t) - 4/7 sin(11/7 - 19 t) - 12/7 sin(11/7 - 15 t) - 9/7 sin(10/7 - 11 t) + 98/5 sin(t + 11/7) + 2401/30 sin(2 t + 11/7) + 43/5 sin(3 t + 14/9) + 400/9 sin(4 t + 11/7) + 715/14 sin(5 t + 33/7) + 114/5 sin(6 t + 33/7) + 249/8 sin(7 t + 11/7) + 47/5 sin(8 t + 11/7) + 3/2 sin(9 t + 14/3) + 115/11 sin(10 t + 11/7) + 7 sin(12 t + 11/7) + 7/4 sin(13 t + 14/9) + 51/13 sin(14 t + 11/7) + 41/21 sin(16 t + 14/3) + 2 sin(17 t + 47/10) + 66/13 sin(18 t + 14/9) + 27/11 sin(20 t + 47/10) + 14/9 sin(21 t + 14/9) + 39/38 sin(23 t + 11/7) + 9/5 sin(24 t + 17/11) + 7/10 sin(26 t + 8/5) - 2707/8) θ(15 π - t) θ(t - 11 π) + (-15/7 sin(3/2 - 45 t) - 8/5 sin(4/3 - 43 t) - 4/3 sin(3/2 - 28 t) - 43/10 sin(20/13 - 26 t) - sin(9/7 - 23 t) - 20/13 sin(17/11 - 21 t) - 5/9 sin(13/14 - 17 t) - 79/10 sin(13/9 - 3 t) + 95/4 sin(t + 17/11) + 311/4 sin(2 t + 11/7) + 504/5 sin(4 t + 14/9) + 237/11 sin(5 t + 3/2) + 19/7 sin(6 t + 13/8) + 3/2 sin(7 t + 15/14) + 9/7 sin(8 t + 11/5) + 311/7 sin(9 t + 14/3) + 4 sin(10 t + 7/4) + 99/8 sin(11 t + 47/10) + 27/4 sin(12 t + 32/7) + 33/4 sin(13 t + 7/5) + 55/3 sin(14 t + 3/2) + 37/6 sin(15 t + 14/3) + 13/2 sin(16 t + 11/7) + 16/5 sin(18 t + 17/11) + 6/13 sin(19 t + 4/5) + 8/5 sin(20 t + 8/5) + 32/7 sin(22 t + 14/9) + 23/5 sin(24 t + 4/3) + 38/5 sin(25 t + 3/2) + 9/4 sin(27 t + 17/9) + 9/4 sin(29 t + 37/8) + 26/5 sin(30 t + 10/7) + 15/4 sin(31 t + 1) + 75/19 sin(32 t + 5/3) + 45/4 sin(33 t + 32/7) + 31/5 sin(34 t + 13/3) + 13/10 sin(35 t + 6/5) + 84/17 sin(36 t + 6/5) + 12/11 sin(37 t + 11/6) + 43/6 sin(38 t + 23/5) + 15/8 sin(39 t + 34/9) + 56/19 sin(40 t + 23/5) + 11/5 sin(41 t + 43/10) + 8/7 sin(42 t + 25/6) + 2 sin(44 t + 13/8) + 18/7 sin(46 t + 8/5) + 15/7 sin(47 t + 14/3) - 923/2) θ(11 π - t) θ(t - 7 π) + (-3/5 sin(14/9 - 23 t) - 3/7 sin(11/7 - 18 t) - 5/6 sin(20/13 - 15 t) - 6/5 sin(17/11 - 11 t) - 6/13 sin(14/9 - 10 t) - 267/19 sin(11/7 - 5 t) - 128/7 sin(11/7 - 3 t) + 335/7 sin(t + 11/7) + 443/7 sin(2 t + 11/7) + 111/11 sin(4 t + 8/5) + 1/2 sin(6 t + 19/10) + 51/8 sin(7 t + 33/7) + 3/8 sin(8 t + 49/11) + 1/9 sin(9 t + 17/8) + 12/7 sin(12 t + 11/7) + 1/9 sin(13 t + 6/5) + 16/11 sin(14 t + 11/7) + 4/3 sin(16 t + 11/7) + 2/7 sin(17 t + 8/5) + 22/21 sin(19 t + 47/10) + 1/11 sin(20 t + 33/8) + 3/5 sin(21 t + 14/3) + 1/6 sin(22 t + 11/6) + 3/7 sin(24 t + 20/13) - 4129/6) θ(7 π - t) θ(t - 3 π) + (-1/3 sin(11/9 - 13 t) - 12/7 sin(3/2 - 7 t) - 39/19 sin(3/2 - 6 t) + 101/6 sin(t + 14/3) + 81 sin(2 t + 8/5) + 13/5 sin(3 t + 17/4) + 217/10 sin(4 t + 8/5) + 16/3 sin(5 t + 5/3) + 12/5 sin(8 t + 8/5) + 2/7 sin(9 t + 21/5) + 2 sin(10 t + 9/5) + 25/6 sin(11 t + 12/7) + 4/5 sin(12 t + 33/17) + 3/5 sin(14 t + 9/5) + 9/4 sin(15 t + 11/6) + sin(16 t + 37/18) + sin(17 t + 5/3) + 2/5 sin(18 t + 15/8) + 3/8 sin(19 t + 9/4) - 1403/2) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-7/5 sin(3/2 - 25 t) - 9/4 sin(14/9 - 24 t) - 13/6 sin(11/7 - 23 t) - 5/4 sin(14/9 - 22 t) - 7/3 sin(11/7 - 15 t) - 34/5 sin(11/7 - 14 t) - 4/7 sin(3/2 - 13 t) - 22/7 sin(11/7 - 12 t) - 94/5 sin(11/7 - 6 t) - 94/11 sin(11/7 - 5 t) - 464/5 sin(11/7 - 3 t) + 17662/29 sin(t + 8/5) + 481/6 sin(2 t + 8/5) + 61/6 sin(4 t + 33/7) + 361/15 sin(7 t + 8/5) + 78/7 sin(8 t + 8/5) + 25/3 sin(9 t + 8/5) + 63/4 sin(10 t + 8/5) + 12/13 sin(11 t + 8/5) + 5/6 sin(16 t + 8/5) + 3/5 sin(17 t + 11/7) + 15/4 sin(18 t + 8/5) + 21/5 sin(19 t + 8/5) + 4/5 sin(20 t + 11/7) + 3/2 sin(21 t + 8/5) + 1942/5) θ(91 π - t) θ(t - 87 π) + (-2/5 sin(10/7 - 33 t) - 54/7 sin(11/7 - 19 t) - 16/7 sin(11/7 - 18 t) - 13/6 sin(11/7 - t) + 805/6 sin(2 t + 11/7) + 49/3 sin(3 t + 11/7) + 36 sin(4 t + 33/7) + 16/5 sin(5 t + 8/5) + 58/5 sin(6 t + 11/7) + 89/8 sin(7 t + 11/7) + 79/8 sin(8 t + 33/7) + 76/9 sin(9 t + 8/5) + 4/9 sin(10 t + 9/7) + 89/8 sin(11 t + 11/7) + 37/6 sin(12 t + 14/3) + 95/8 sin(13 t + 11/7) + 118/7 sin(14 t + 11/7) + 89/6 sin(15 t + 33/7) + 31/8 sin(16 t + 23/5) + 47/3 sin(17 t + 33/7) + 41/10 sin(20 t + 37/8) + 49/9 sin(21 t + 14/3) + 37/8 sin(22 t + 11/7) + 17/8 sin(23 t + 10/7) + 1/5 sin(24 t + 7/2) + 159/16 sin(25 t + 14/3) + 35/6 sin(26 t + 11/7) + 4/7 sin(27 t + 4/3) + 7/5 sin(28 t + 11/7) + 21/5 sin(29 t + 3/2) + 19/9 sin(30 t + 37/8) + 19/6 sin(31 t + 14/3) + 1/3 sin(32 t + 4/3) + 5/9 sin(34 t + 23/5) + 4/5 sin(35 t + 14/3) + 13/7 sin(36 t + 11/7) + 6024/7) θ(87 π - t) θ(t - 83 π) + (-1/4 sin(11/7 - 11 t) - 2/3 sin(11/7 - 10 t) - 3/5 sin(11/7 - 9 t) - 5/6 sin(11/7 - 8 t) - 11/8 sin(11/7 - 7 t) - 8/5 sin(11/7 - 5 t) - 6 sin(11/7 - 4 t) - 25/2 sin(11/7 - 2 t) - 443/6 sin(11/7 - t) + 7/3 sin(3 t + 33/7) + 3/4 sin(6 t + 14/3) + 1/3 sin(12 t + 33/7) + 5289/7) θ(83 π - t) θ(t - 79 π) + (-1/16 sin(32/31 - 10 t) - 11/4 sin(3/2 - 9 t) - 10/11 sin(10/7 - 6 t) - 59/7 sin(14/9 - 5 t) - 229/7 sin(11/7 - 2 t) - 58/3 sin(11/7 - t) + 24/5 sin(3 t + 8/5) + 11 sin(4 t + 8/5) + 53/26 sin(7 t + 5/3) + 11/7 sin(8 t + 8/5) + 4/3 sin(11 t + 5/3) + 1/3 sin(12 t + 5/3) + 949/4) θ(79 π - t) θ(t - 75 π) + (-1/5 sin(11/7 - 13 t) - 10/7 sin(11/7 - 7 t) - 21 sin(11/7 - 3 t) + 165/7 sin(t + 8/5) + 265/6 sin(2 t + 8/5) + 19/9 sin(4 t + 8/5) + 41/14 sin(5 t + 8/5) + 2 sin(6 t + 11/7) + 9/5 sin(8 t + 8/5) + sin(9 t + 14/3) + 18/17 sin(10 t + 8/5) + 2/5 sin(11 t + 8/5) + 2/3 sin(12 t + 8/5) + 3/7 sin(14 t + 11/7) + 3353/6) θ(75 π - t) θ(t - 71 π) + (-5/2 sin(14/9 - 39 t) - 5/7 sin(7/5 - 38 t) - 6/11 sin(4/3 - 29 t) - 37/5 sin(11/7 - 28 t) - 5/6 sin(4/3 - 27 t) - 9/8 sin(3/2 - 26 t) - 11/4 sin(3/2 - 21 t) - 23/5 sin(11/7 - 20 t) - 13/3 sin(3/2 - 18 t) - 31/4 sin(11/7 - 17 t) - 46/15 sin(3/2 - 16 t) - 12/5 sin(3/2 - 8 t) - 58/3 sin(11/7 - 7 t) - 439/7 sin(11/7 - 3 t) - 1694/15 sin(11/7 - 2 t) + 289/7 sin(t + 11/7) + 142/5 sin(4 t + 8/5) + 62/3 sin(5 t + 8/5) + 75/8 sin(6 t + 8/5) + 26/3 sin(9 t + 8/5) + 43/4 sin(10 t + 8/5) + 33/5 sin(11 t + 8/5) + 27/5 sin(12 t + 14/3) + 304/7 sin(13 t + 8/5) + 2 sin(14 t + 9/2) + 43/7 sin(15 t + 8/5) + 19/5 sin(19 t + 11/7) + 29/5 sin(22 t + 33/7) + 199/33 sin(23 t + 8/5) + 15/8 sin(24 t + 8/5) + 16/5 sin(25 t + 33/7) + 18/17 sin(30 t + 11/7) + 5/4 sin(31 t + 14/3) + 2/5 sin(32 t + 14/3) + 3/7 sin(33 t + 3/2) + 21/20 sin(34 t + 14/3) + 1/5 sin(35 t + 2) + 4/3 sin(36 t + 13/8) + 1/9 sin(37 t + 23/5) + 1009/7) θ(71 π - t) θ(t - 67 π) + (-28/27 sin(10/7 - 15 t) - 15/14 sin(1 - 11 t) - 12/11 sin(7/6 - 10 t) - 147/4 sin(11/7 - 5 t) + sin(t + 7/4) + 207/5 sin(2 t + 33/7) + 151/2 sin(3 t + 33/7) + 154/9 sin(4 t + 8/5) + 370/9 sin(6 t + 11/7) + 247/8 sin(7 t + 11/7) + 57/5 sin(8 t + 3/2) + 127/21 sin(9 t + 3/2) + 72/5 sin(12 t + 3/2) + 23/3 sin(13 t + 3/2) + 11/8 sin(14 t + 4/3) + 2/5 sin(16 t + 9/7) + 1/5 sin(17 t + 8/7) + 21/20 sin(18 t + 3/2) + 13/8 sin(19 t + 11/7) + 14/13 sin(20 t + 8/5) + 1477/3) θ(67 π - t) θ(t - 63 π) + (-39/8 sin(3/2 - 20 t) - 7 sin(3/2 - 17 t) - 43/5 sin(14/9 - 12 t) - 39/7 sin(11/7 - 7 t) - 4/5 sin(11/7 - 6 t) - 204/7 sin(11/7 - 4 t) - 977/7 sin(11/7 - t) + 182/3 sin(2 t + 8/5) + 154/5 sin(3 t + 8/5) + 110/7 sin(5 t + 8/5) + 158/5 sin(8 t + 8/5) + 106/5 sin(9 t + 8/5) + 45/11 sin(10 t + 5/3) + 14/5 sin(11 t + 5/3) + 3/4 sin(13 t + 32/7) + 56/5 sin(14 t + 13/8) + 23/6 sin(15 t + 5/3) + 9/4 sin(16 t + 5/3) + 11/7 sin(18 t + 5/3) + 19/4 sin(19 t + 5/3) + 16/15 sin(21 t + 14/3) + 6/5 sin(22 t + 9/5) + 15/4 sin(23 t + 5/3) + 11/6 sin(24 t + 7/4) + 2/3 sin(25 t + 32/7) + 8/5 sin(26 t + 12/7) + 11/6 sin(27 t + 7/4) + 2456/5) θ(63 π - t) θ(t - 59 π) + (-17/6 sin(7/5 - 20 t) - 135/7 sin(11/7 - 18 t) - 7/5 sin(1 - 17 t) - 79/26 sin(4/3 - 16 t) - 79/7 sin(11/7 - 14 t) - 17/5 sin(3/2 - 13 t) - 51/4 sin(3/2 - 9 t) - 428/5 sin(11/7 - 7 t) - 52/7 sin(3/2 - 6 t) - 497/5 sin(11/7 - 5 t) - 55/2 sin(11/7 - 4 t) - 551/5 sin(11/7 - 3 t) - 183/7 sin(14/9 - 2 t) + 1872/5 sin(t + 11/7) + 456/13 sin(8 t + 11/7) + 16 sin(10 t + 3/2) + 43/2 sin(11 t + 3/2) + 73/4 sin(12 t + 33/7) + 59/3 sin(15 t + 33/7) + 97/14 sin(19 t + 7/5) + 141/5 sin(21 t + 14/3) + 41/10 sin(22 t + 10/7) + 23/5 sin(23 t + 4/3) + 6/5 sin(24 t + 5/6) + 22/5 sin(25 t + 4/3) + 11/10 sin(26 t + 11/7) + 62/3 sin(27 t + 14/3) + 6/5 sin(28 t + 3/2) + 25/4 sin(29 t + 7/5) + 16/5 sin(30 t + 7/5) + 19/4 sin(31 t + 33/7) + 26/5 sin(32 t + 23/5) + 15/4 sin(33 t + 23/5) + 5/4 sin(34 t + 8/5) + 5/3 sin(35 t + 4/3) + 37/5 sin(36 t + 14/9) + 12/5 sin(37 t + 23/5) + 7/5 sin(38 t + 17/4) + 4/9 sin(39 t + 27/13) + 2399/5) θ(59 π - t) θ(t - 55 π) + (-65/22 sin(3/2 - 12 t) - 169/3 sin(11/7 - 10 t) - 352/27 sin(3/2 - 8 t) - 452/5 sin(11/7 - 7 t) - 410/9 sin(11/7 - 5 t) - 40/7 sin(10/7 - 4 t) - 205/4 sin(11/7 - 3 t) + 13891/10 sin(t + 8/5) + 1799/5 sin(2 t + 8/5) + 67/3 sin(6 t + 8/5) + 23/5 sin(9 t + 14/9) + sin(11 t + 10/9) - 1753/5) θ(55 π - t) θ(t - 51 π) + (-97/8 sin(14/9 - 7 t) - 128/7 sin(11/7 - 6 t) - 430/11 sin(11/7 - 3 t) + 146/5 sin(t + 11/7) + 748/5 sin(2 t + 8/5) + 1098/7 sin(4 t + 8/5) + 45/2 sin(5 t + 8/5) + 73/6 sin(8 t + 11/7) + 15/4 sin(9 t + 11/7) + 64/3 sin(10 t + 8/5) + 1/4 sin(11 t + 4/3) + 11/2 sin(12 t + 11/7) - 5851/7) θ(51 π - t) θ(t - 47 π) + (-149/15 sin(11/7 - 11 t) - 139/14 sin(11/7 - 9 t) - 218 sin(11/7 - 3 t) + 1869/10 sin(t + 8/5) + 157/4 sin(2 t + 11/7) + 1135/16 sin(4 t + 8/5) + 133/6 sin(5 t + 33/7) + 307/6 sin(6 t + 8/5) + 67/2 sin(7 t + 8/5) + 22/3 sin(8 t + 8/5) + 12/7 sin(10 t + 7/5) + 40/3 sin(12 t + 8/5) - 6039/8) θ(47 π - t) θ(t - 43 π) + (-4/5 sin(11/7 - 22 t) - 30/7 sin(14/9 - 21 t) - 33/7 sin(11/7 - 19 t) - 115/4 sin(11/7 - 10 t) - 392/17 sin(11/7 - 8 t) - 1227/5 sin(11/7 - 2 t) - 13719/19 sin(11/7 - t) + 46 sin(3 t + 8/5) + 1324/7 sin(4 t + 8/5) + 229/6 sin(5 t + 8/5) + 332/5 sin(6 t + 8/5) + 55/3 sin(7 t + 8/5) + 328/9 sin(9 t + 8/5) + 61/7 sin(11 t + 8/5) + 32/5 sin(12 t + 11/7) + 19/2 sin(13 t + 8/5) + 187/8 sin(14 t + 8/5) + 17/4 sin(15 t + 5/3) + 75/4 sin(16 t + 8/5) + 97/5 sin(17 t + 8/5) + 59/29 sin(18 t + 5/3) + 37/3 sin(20 t + 8/5) + 16/7 sin(23 t + 8/5) + 8/5 sin(24 t + 8/5) + 9/5 sin(25 t + 8/5) + 1391/3) θ(43 π - t) θ(t - 39 π) + (-1/4 sin(3/4 - 11 t) - 8 sin(11/7 - 9 t) + 396/5 sin(t + 8/5) + 136 sin(2 t + 33/7) + 85/9 sin(3 t + 8/5) + 48/5 sin(4 t + 33/7) + 524/15 sin(5 t + 33/7) + 153/14 sin(6 t + 8/5) + 16/3 sin(7 t + 3/2) + 91/6 sin(8 t + 11/7) + 145/12 sin(10 t + 11/7) + 157/26 sin(12 t + 8/5) + 22/5 sin(13 t + 33/7) + 17/6 sin(14 t + 8/5) + 3 sin(15 t + 33/7) + 1/2 sin(16 t + 11/7) + 11/4 sin(17 t + 11/7) + 11/7 sin(18 t + 3/2) + 2/5 sin(19 t + 33/7) + 9/5 sin(20 t + 11/7) + 5/7 sin(21 t + 3/2) + 3/7 sin(22 t + 14/3) + 3173/9) θ(39 π - t) θ(t - 35 π) + (-5/2 sin(11/7 - 11 t) - 38/5 sin(11/7 - 7 t) - 73/3 sin(11/7 - 3 t) + 178/7 sin(t + 8/5) + 1263/8 sin(2 t + 8/5) + 67/6 sin(4 t + 11/7) + 26/3 sin(5 t + 8/5) + 39/4 sin(6 t + 8/5) + 78/11 sin(8 t + 8/5) + 38/13 sin(9 t + 8/5) + 2/3 sin(10 t + 14/9) + 45/11 sin(12 t + 8/5) + 1435/2) θ(35 π - t) θ(t - 31 π) + (-89/18 sin(11/7 - 12 t) - 49/24 sin(3/2 - 11 t) - 50/7 sin(11/7 - 8 t) - 21/4 sin(14/9 - 7 t) - 119/10 sin(11/7 - 6 t) - 257/6 sin(11/7 - 3 t) - 662/5 sin(11/7 - 2 t) + 631/15 sin(t + 8/5) + 19/6 sin(4 t + 8/5) + 59/6 sin(5 t + 8/5) + 10/3 sin(9 t + 8/5) + 3/2 sin(10 t + 33/7) + 155/2) θ(31 π - t) θ(t - 27 π) + (1312/7 sin(t + 8/5) + 1/3 sin(2 t + 20/7) + 102/5 sin(3 t + 8/5) + 1/9 sin(4 t + 3) + 29/4 sin(5 t + 8/5) + 1/5 sin(6 t + 37/8) + 18/5 sin(7 t + 8/5) + 1/8 sin(8 t + 4) + 9/4 sin(9 t + 8/5) + 1/16 sin(10 t + 14/3) + 10/7 sin(11 t + 8/5) + 1/12 sin(12 t + 26/7) + 803/3) θ(27 π - t) θ(t - 23 π) + (-2/5 sin(7/5 - 12 t) - 3/5 sin(4/3 - 8 t) + 34/5 sin(t + 8/5) + 1468/7 sin(2 t + 33/7) + 3 sin(3 t + 23/5) + 5/9 sin(4 t + 4/3) + 7/5 sin(5 t + 11/7) + 89/4 sin(6 t + 33/7) + 7/6 sin(7 t + 37/8) + 2/3 sin(9 t + 8/5) + 38/5 sin(10 t + 14/3) + 3/4 sin(11 t + 23/5) + 256) θ(23 π - t) θ(t - 19 π) + (-7/2 sin(11/7 - 8 t) - 25/7 sin(14/9 - 6 t) - 20 sin(14/9 - 2 t) + 3808/9 sin(t + 11/7) + 200/3 sin(3 t + 11/7) + 45/4 sin(4 t + 11/7) + 70/3 sin(5 t + 11/7) + 11/4 sin(7 t + 11/7) + 53/6 sin(9 t + 11/7) + 11/4 sin(10 t + 11/7) + 7/3 sin(11 t + 11/7) + 11/4 sin(12 t + 33/7) + 1579/5) θ(19 π - t) θ(t - 15 π) + (-6/5 sin(3/2 - 22 t) - 12/5 sin(14/9 - 18 t) - 7/4 sin(3/2 - 17 t) - 5/6 sin(7/5 - 16 t) - 155/14 sin(11/7 - 15 t) - 23/12 sin(3/2 - 14 t) + 45 sin(t + 8/5) + 119/5 sin(2 t + 8/5) + 144/7 sin(3 t + 33/7) + 371/8 sin(4 t + 8/5) + 85/4 sin(5 t + 8/5) + 532/13 sin(6 t + 8/5) + 51/4 sin(7 t + 33/7) + 203/6 sin(8 t + 8/5) + 1/5 sin(9 t + 14/5) + 11 sin(10 t + 8/5) + 4 sin(11 t + 33/7) + 7 sin(12 t + 8/5) + 7/8 sin(13 t + 14/3) + 7/5 sin(19 t + 8/5) + 9/8 sin(20 t + 5/3) + 12/5 sin(21 t + 8/5) - 1663/6) θ(15 π - t) θ(t - 11 π) + (5764/9 sin(t + 8/5) + 61/4 sin(2 t + 33/7) + 66/5 sin(3 t + 8/5) + 29/6 sin(4 t + 5/3) + 121/5 sin(5 t + 8/5) + 19/3 sin(6 t + 8/5) + 14/9 sin(7 t + 13/8) + 9/4 sin(8 t + 12/7) + 1/5 sin(9 t + 17/9) + 9/2 sin(10 t + 8/5) + 9/10 sin(11 t + 14/3) + 7/8 sin(12 t + 10/7) + 1163/6) θ(11 π - t) θ(t - 7 π) + (-11/7 sin(11/7 - 19 t) - 56/5 sin(14/9 - 12 t) - 81/8 sin(11/7 - 7 t) - 247/5 sin(11/7 - 5 t) - 79/3 sin(11/7 - 4 t) + 29 sin(t + 8/5) + 134/5 sin(2 t + 8/5) + 274/5 sin(3 t + 8/5) + 25/2 sin(6 t + 8/5) + 89/4 sin(8 t + 8/5) + 14/9 sin(9 t + 14/3) + 7/2 sin(10 t + 8/5) + 4/3 sin(11 t + 5/3) + 3/4 sin(13 t + 5/3) + 22/3 sin(14 t + 8/5) + 4/9 sin(15 t + 40/9) + 77/9 sin(16 t + 8/5) + 11/10 sin(17 t + 23/5) + 7/4 sin(18 t + 8/5) - 2603/5) θ(7 π - t) θ(t - 3 π) + (-15/4 sin(3/2 - 9 t) - 311/13 sin(11/7 - 8 t) - 103/5 sin(11/7 - 7 t) - 93/4 sin(11/7 - 6 t) - 1929/5 sin(11/7 - 2 t) + 6306/13 sin(t + 8/5) + 1369/6 sin(3 t + 8/5) + 715/17 sin(4 t + 8/5) + 13/5 sin(5 t + 8/5) + 32/7 sin(10 t + 5/3) + 64/9 sin(11 t + 11/7) + 26/7 sin(12 t + 8/5) + 17/2 sin(13 t + 8/5) + 13/5 sin(14 t + 11/7) + 7/5 sin(15 t + 13/8) + 3 sin(16 t + 5/3) + 26/5 sin(17 t + 8/5) + 50/7 sin(18 t + 8/5) + 26/3 sin(19 t + 8/5) + 1873/3) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-15/8 sin(11/7 - 15 t) - 157/12 sin(11/7 - 3 t) - 1114/5 sin(11/7 - t) + 1973/7 sin(2 t + 8/5) + 721/8 sin(4 t + 8/5) + 40/3 sin(5 t + 8/5) + 29 sin(6 t + 8/5) + 35/4 sin(7 t + 8/5) + 53/4 sin(8 t + 8/5) + 62/9 sin(9 t + 33/7) + 58/5 sin(10 t + 8/5) + 1/14 sin(11 t + 19/5) + 10/3 sin(12 t + 11/7) + 1/4 sin(13 t + 19/10) + 32/7 sin(14 t + 8/5) + 17/4 sin(16 t + 8/5) + 1/7 sin(17 t + 14/3) + 13/4 sin(18 t + 8/5) + 15/7 sin(19 t + 8/5) + 14/5 sin(20 t + 8/5) + 2/5 sin(21 t + 11/6) + 17/5 sin(22 t + 8/5) + 10/11 sin(23 t + 14/3) + 2/5 sin(24 t + 7/5) + 1/2 sin(25 t + 23/5) - 768/7) θ(91 π - t) θ(t - 87 π) + (-3/5 sin(7/5 - 21 t) - 54/5 sin(11/7 - t) + 497/3 sin(2 t + 11/7) + 53/13 sin(3 t + 11/7) + 181/6 sin(4 t + 8/5) + 54/11 sin(5 t + 14/9) + 52/3 sin(6 t + 11/7) + 1/11 sin(7 t + 1/5) + 37/5 sin(8 t + 8/5) + 11/8 sin(9 t + 8/5) + 15/2 sin(10 t + 11/7) + 18/5 sin(11 t + 3/2) + 49/5 sin(12 t + 11/7) + 104/5 sin(13 t + 14/3) + 170/13 sin(14 t + 14/3) + 274/11 sin(15 t + 11/7) + 116/13 sin(16 t + 14/9) + 19/10 sin(17 t + 8/5) + 20/3 sin(18 t + 11/7) + 7/5 sin(19 t + 33/7) + 19/5 sin(20 t + 11/7) + 39/8 sin(22 t + 11/7) + 10/7 sin(23 t + 3/2) + 5/2 sin(24 t + 8/5) + 4/3 sin(25 t + 32/7) + 25/6 sin(26 t + 3/2) + 71/10 sin(27 t + 14/9) + 11/3 sin(28 t + 14/3) + 27/7 sin(29 t + 11/7) + 67/17 sin(30 t + 33/7) + 13/7 sin(31 t + 23/5) + 2 sin(32 t + 33/7) + 33/16 sin(33 t + 14/3) + 2/5 sin(34 t + 9/7) + 8/9 sin(35 t + 14/9) + 3/4 sin(36 t + 37/8) + 501/5) θ(87 π - t) θ(t - 83 π) + (-2/3 sin(11/7 - 11 t) - sin(11/7 - 9 t) - 4/3 sin(11/7 - 7 t) - 3 sin(11/7 - 5 t) - 155/2 sin(11/7 - t) + 23/3 sin(2 t + 11/7) + 11 sin(3 t + 33/7) + 35/9 sin(4 t + 11/7) + 1/7 sin(6 t + 5/3) + 3/4 sin(8 t + 11/7) + 1/2 sin(10 t + 11/7) + 1/5 sin(12 t + 8/5) + 1530/7) θ(83 π - t) θ(t - 79 π) + (-7/8 sin(3/2 - 9 t) + 91/8 sin(t + 33/7) + 339/4 sin(2 t + 8/5) + 17/3 sin(3 t + 5/3) + 6 sin(4 t + 11/7) + 11/3 sin(5 t + 33/7) + 22/3 sin(6 t + 8/5) + 11/5 sin(7 t + 5/3) + 16/7 sin(8 t + 8/5) + 8/5 sin(10 t + 8/5) + 5/7 sin(11 t + 7/4) + 9/5 sin(12 t + 8/5) + 1319/4) θ(79 π - t) θ(t - 75 π) + (-2/3 sin(3/2 - 14 t) - 4/3 sin(11/7 - 13 t) - 12/13 sin(14/9 - 12 t) - 8/5 sin(11/7 - 11 t) - 11/5 sin(11/7 - 7 t) - 2/5 sin(3/2 - 6 t) - 145/12 sin(11/7 - 5 t) - 99/7 sin(11/7 - 4 t) - 37/5 sin(11/7 - 3 t) - 178/5 sin(11/7 - t) + 38/3 sin(2 t + 8/5) + 1/2 sin(8 t + 8/5) + 31/16 sin(9 t + 8/5) + 5/7 sin(10 t + 8/5) + 584/3) θ(75 π - t) θ(t - 71 π) + (-6/5 sin(13/9 - 39 t) - 10/9 sin(14/9 - 38 t) - 4/5 sin(3/2 - 35 t) - 1/3 sin(6/5 - 34 t) - 7/2 sin(14/9 - 24 t) - 3/5 sin(11/7 - 22 t) - 29/6 sin(11/7 - 20 t) - 11/6 sin(14/9 - 17 t) - 3/2 sin(7/5 - 16 t) - 79/10 sin(11/7 - 15 t) - 31/4 sin(11/7 - 11 t) - 6/5 sin(14/9 - 9 t) - 97/6 sin(11/7 - 5 t) + 1031/12 sin(t + 33/7) + 1588/9 sin(2 t + 8/5) + 97/4 sin(3 t + 8/5) + 91/6 sin(4 t + 8/5) + 37/4 sin(6 t + 11/7) + 13/2 sin(7 t + 11/7) + 21/2 sin(8 t + 11/7) + 13/5 sin(10 t + 3/2) + 12 sin(12 t + 8/5) + 307/14 sin(13 t + 8/5) + 41/7 sin(14 t + 8/5) + 4/9 sin(18 t + 3/2) + 1/3 sin(19 t + 7/6) + 11/2 sin(21 t + 8/5) + 11/8 sin(23 t + 3/2) + 41/8 sin(25 t + 11/7) + 8/5 sin(26 t + 8/5) + 8/9 sin(27 t + 12/7) + 45/4 sin(28 t + 8/5) + 2/5 sin(29 t + 13/6) + 8/3 sin(30 t + 11/7) + sin(31 t + 10/7) + sin(32 t + 33/7) + sin(33 t + 3/2) + 5/3 sin(36 t + 8/5) + 8/3 sin(37 t + 8/5) + 873/4) θ(71 π - t) θ(t - 67 π) + (-13/6 sin(11/7 - 20 t) - 156/5 sin(11/7 - 6 t) - 67/5 sin(11/7 - 3 t) - 1487/16 sin(11/7 - t) + 155/6 sin(2 t + 11/7) + 449/10 sin(4 t + 11/7) + 67/5 sin(5 t + 11/7) + 161/5 sin(7 t + 11/7) + 14/3 sin(8 t + 8/5) + 23 sin(9 t + 14/3) + 16 sin(10 t + 14/3) + 5/6 sin(11 t + 21/5) + 11/5 sin(12 t + 7/4) + 25/3 sin(13 t + 14/3) + 3/4 sin(14 t + 45/11) + 26/5 sin(15 t + 14/3) + 9/8 sin(16 t + 31/7) + 10/7 sin(17 t + 14/3) + 1/8 sin(18 t + 13/9) + 25/12 sin(19 t + 11/7) - 437/4) θ(67 π - t) θ(t - 63 π) + (-25/13 sin(3/2 - 24 t) - 9/10 sin(4/3 - 23 t) - 7/3 sin(3/2 - 20 t) - 7/4 sin(3/2 - 18 t) - 17/5 sin(3/2 - 16 t) - 15/4 sin(3/2 - 15 t) - 54/5 sin(14/9 - 12 t) - 23/4 sin(3/2 - 11 t) - 11/2 sin(11/7 - 10 t) - 43/4 sin(3/2 - 5 t) - 110 sin(11/7 - 4 t) - 659/5 sin(11/7 - 2 t) - 463/7 sin(11/7 - t) + 29 sin(3 t + 11/7) + 1/3 sin(6 t + 4) + 38/3 sin(7 t + 8/5) + 2 sin(8 t + 14/3) + 33/7 sin(9 t + 11/7) + 29/3 sin(13 t + 8/5) + 22/5 sin(14 t + 13/8) + 14/5 sin(17 t + 11/7) + 3/5 sin(19 t + 7/5) + 12/13 sin(21 t + 3/2) + 7/5 sin(22 t + 5/3) + 8/5 sin(25 t + 8/5) + 2/5 sin(26 t + 13/8) + 1/4 sin(27 t + 10/9) + 569/5) θ(63 π - t) θ(t - 59 π) + (-7/8 sin(1/11 - 27 t) - 29/6 sin(3/2 - 25 t) - 86/5 sin(11/7 - 24 t) - 16/11 sin(3/5 - 22 t) - 9/5 sin(5/4 - 21 t) - 65/6 sin(14/9 - 20 t) - 5/2 sin(3/2 - 19 t) - 67/11 sin(11/7 - 18 t) - 157/13 sin(11/7 - 10 t) - 117/2 sin(11/7 - 8 t) - 524/7 sin(11/7 - 6 t) - 31/2 sin(11/7 - 5 t) - 81/8 sin(3/2 - 3 t) - 363/8 sin(11/7 - t) + 3334/9 sin(2 t + 11/7) + 1/4 sin(4 t + 7/5) + 44/7 sin(7 t + 8/5) + 233/9 sin(9 t + 11/7) + 83/4 sin(11 t + 8/5) + 13/4 sin(12 t + 12/7) + 146/7 sin(13 t + 8/5) + 49/8 sin(14 t + 8/5) + 36/5 sin(15 t + 5/3) + 9/8 sin(16 t + 12/7) + 3/8 sin(17 t + 25/6) + 13/14 sin(23 t + 1/2) + 8/3 sin(26 t + 6/5) + 3/4 sin(28 t + 4/5) + 7/3 sin(29 t + 14/3) + 64/13 sin(30 t + 32/7) + 13/3 sin(31 t + 23/5) + 43/4 sin(32 t + 14/9) + 29/4 sin(33 t + 11/7) + 21/5 sin(34 t + 22/5) + 69/14 sin(35 t + 40/9) + 65/7 sin(36 t + 8/5) + 15/2 sin(37 t + 11/7) + 31/8 sin(38 t + 40/9) + 13/12 sin(39 t + 85/21) + 412/7) θ(59 π - t) θ(t - 55 π) + (525/4 sin(t + 33/7) + 1057/5 sin(2 t + 8/5) + 55/9 sin(3 t + 37/8) + 523/6 sin(4 t + 8/5) + 29/6 sin(5 t + 23/5) + 438/5 sin(6 t + 8/5) + 275/12 sin(7 t + 8/5) + 39/7 sin(8 t + 37/8) + 671/9 sin(9 t + 8/5) + 117/5 sin(10 t + 33/7) + 59/6 sin(11 t + 8/5) + 221/9 sin(12 t + 8/5) - 10717/8) θ(55 π - t) θ(t - 51 π) + (-9/4 sin(3/2 - 12 t) - 17/3 sin(14/9 - 9 t) - 33/7 sin(3/2 - 8 t) - 56/11 sin(3/2 - 5 t) - 119/5 sin(11/7 - 4 t) + 35/2 sin(t + 33/7) + 2019/7 sin(2 t + 8/5) + 199/9 sin(3 t + 8/5) + 156/5 sin(6 t + 8/5) + 51/8 sin(7 t + 8/5) + 13/2 sin(10 t + 8/5) + sin(11 t + 11/7) - 4789/5) θ(51 π - t) θ(t - 47 π) + (-917/9 sin(11/7 - 4 t) - 1493/7 sin(11/7 - 3 t) - 1657/8 sin(11/7 - t) + 554/5 sin(2 t + 11/7) + 961/30 sin(5 t + 8/5) + 328/7 sin(6 t + 8/5) + 3/4 sin(7 t + 25/6) + 37/3 sin(8 t + 8/5) + 43/3 sin(9 t + 8/5) + 22/5 sin(10 t + 8/5) + 3/2 sin(11 t + 14/3) + 15 sin(12 t + 8/5) - 1087) θ(47 π - t) θ(t - 43 π) + (-20/3 sin(11/7 - 25 t) - 3/7 sin(4/3 - 22 t) - 47/5 sin(14/9 - 11 t) - 9/4 sin(3/2 - 10 t) - 299/6 sin(11/7 - 9 t) - 233/5 sin(11/7 - 8 t) - 77/3 sin(11/7 - 7 t) - 1248/5 sin(11/7 - 5 t) + 445/4 sin(t + 33/7) + 22/5 sin(2 t + 14/3) + 557/5 sin(3 t + 8/5) + 1450/7 sin(4 t + 8/5) + 39/4 sin(6 t + 11/7) + 135/17 sin(12 t + 33/7) + 4/7 sin(13 t + 15/8) + 106/3 sin(14 t + 8/5) + 17/2 sin(15 t + 14/3) + 73/4 sin(16 t + 8/5) + 104/7 sin(17 t + 8/5) + 22/3 sin(18 t + 8/5) + 39/5 sin(19 t + 8/5) + 10/7 sin(20 t + 11/7) + 13/14 sin(21 t + 3/2) + 15/4 sin(23 t + 33/7) + 23/2 sin(24 t + 8/5) - 4451/4) θ(43 π - t) θ(t - 39 π) + (-sin(3/2 - 20 t) - 1/5 sin(7/6 - 18 t) - 9/2 sin(11/7 - 11 t) - 729/13 sin(11/7 - 3 t) + 286/3 sin(t + 11/7) + 211/7 sin(2 t + 11/7) + 36 sin(4 t + 11/7) + 135/7 sin(5 t + 33/7) + 274/7 sin(6 t + 33/7) + 82/3 sin(7 t + 33/7) + 1/7 sin(8 t + 7/6) + 421/30 sin(9 t + 11/7) + 41/4 sin(10 t + 11/7) + 7/2 sin(12 t + 33/7) + 27/5 sin(13 t + 11/7) + 7/5 sin(14 t + 13/9) + 65/8 sin(15 t + 11/7) + 3/5 sin(16 t + 3/2) + 5/4 sin(17 t + 8/5) + 36/7 sin(19 t + 11/7) + 11/6 sin(21 t + 11/7) + 17/5 sin(22 t + 11/7) + 8/5 sin(23 t + 3/2) - 5999/9) θ(39 π - t) θ(t - 35 π) + (-1/2 sin(14/9 - 11 t) - 9/2 sin(11/7 - 6 t) - 47/8 sin(11/7 - 5 t) - 395/7 sin(11/7 - t) + 387/7 sin(2 t + 8/5) + 332/7 sin(3 t + 8/5) + 93/8 sin(4 t + 8/5) + 76/15 sin(7 t + 8/5) + 31/5 sin(8 t + 8/5) + 38/13 sin(9 t + 8/5) + 4/5 sin(10 t + 11/7) + 2/7 sin(12 t + 13/8) - 13138/29) θ(35 π - t) θ(t - 31 π) + (-3 sin(11/7 - 9 t) - 158/5 sin(11/7 - 3 t) + 185/6 sin(t + 8/5) + 230/3 sin(2 t + 8/5) + 49/2 sin(4 t + 8/5) + 7/4 sin(5 t + 33/7) + 22/9 sin(6 t + 8/5) + 24/5 sin(7 t + 8/5) + 2/7 sin(8 t + 7/5) + 11/4 sin(10 t + 11/7) + 6/5 sin(11 t + 14/3) + 1/2 sin(12 t + 3/2) - 2628/7) θ(31 π - t) θ(t - 27 π) + (6 sin(t + 33/7) + 41/5 sin(2 t + 8/5) + sin(3 t + 14/3) + 27/7 sin(4 t + 8/5) + 3/4 sin(5 t + 8/5) + 4/3 sin(6 t + 8/5) + 1/2 sin(7 t + 8/5) + 6/5 sin(8 t + 8/5) + 2/3 sin(9 t + 8/5) + 6/7 sin(10 t + 8/5) + 1/5 sin(11 t + 5/3) + 1/4 sin(12 t + 8/5) - 3911/4) θ(27 π - t) θ(t - 23 π) + (-31/5 sin(11/7 - 3 t) + 3 sin(t + 11/7) + 87/4 sin(2 t + 11/7) + 188/11 sin(4 t + 11/7) + 3 sin(5 t + 11/7) + 5/4 sin(6 t + 14/3) + 19/9 sin(7 t + 33/7) + 39/8 sin(8 t + 11/7) + 6/7 sin(9 t + 3/2) + 6/5 sin(10 t + 14/3) + 5/3 sin(11 t + 14/3) + 20/7 sin(12 t + 11/7) - 1793/2) θ(23 π - t) θ(t - 19 π) + (-32/3 sin(11/7 - 6 t) - 62/3 sin(11/7 - 3 t) + 282/5 sin(t + 33/7) + 1108/27 sin(2 t + 33/7) + 967/21 sin(4 t + 11/7) + 106/7 sin(5 t + 11/7) + 16/3 sin(7 t + 14/3) + 25/4 sin(8 t + 8/5) + 19/5 sin(9 t + 14/9) + 27/5 sin(10 t + 11/7) + sin(11 t + 3/2) + 19/7 sin(12 t + 11/7) - 3023/5) θ(19 π - t) θ(t - 15 π) + (-56/5 sin(11/7 - 12 t) - 10/3 sin(3/2 - 11 t) - 45/4 sin(11/7 - 10 t) - 284/9 sin(11/7 - 8 t) - 131/2 sin(11/7 - 4 t) + 57/5 sin(t + 14/3) + 1539/4 sin(2 t + 8/5) + 263/7 sin(3 t + 33/7) + 63/5 sin(5 t + 11/7) + 65/4 sin(6 t + 8/5) + 7/5 sin(7 t + 3/2) + 22/7 sin(9 t + 3/2) + 69/7 sin(13 t + 8/5) + 73/8 sin(14 t + 8/5) + 27/5 sin(15 t + 8/5) + 17/4 sin(16 t + 8/5) + 11/3 sin(17 t + 8/5) + 18/5 sin(18 t + 8/5) + 18/17 sin(19 t + 33/7) + 9/7 sin(20 t + 8/5) + 37/9 sin(21 t + 8/5) + 17/4 sin(22 t + 8/5) - 3772/9) θ(15 π - t) θ(t - 11 π) + (-5/3 sin(11/7 - 11 t) + 46/5 sin(t + 14/3) + 983/3 sin(2 t + 8/5) + 14 sin(3 t + 8/5) + 235/7 sin(4 t + 8/5) + 8 sin(5 t + 14/3) + 121/6 sin(6 t + 8/5) + 15/14 sin(7 t + 15/8) + 120/7 sin(8 t + 8/5) + 13/9 sin(9 t + 9/2) + 55/8 sin(10 t + 8/5) + 25/3 sin(12 t + 8/5) - 2941/3) θ(11 π - t) θ(t - 7 π) + (-31/4 sin(14/9 - 17 t) - 18/5 sin(3/2 - 10 t) - 251/7 sin(11/7 - 7 t) + 287/4 sin(t + 8/5) + 2024/9 sin(2 t + 8/5) + 231/8 sin(3 t + 33/7) + 232/5 sin(4 t + 8/5) + 259/5 sin(5 t + 8/5) + 365/9 sin(6 t + 8/5) + 111/7 sin(8 t + 8/5) + 19/4 sin(9 t + 5/3) + 9/2 sin(11 t + 13/8) + 31/10 sin(12 t + 8/5) + 11/3 sin(13 t + 13/8) + 31/5 sin(14 t + 8/5) + 7/3 sin(15 t + 5/3) + 16/7 sin(16 t + 8/5) + 14/9 sin(18 t + 8/5) + 39/7 sin(19 t + 13/8) - 242) θ(7 π - t) θ(t - 3 π) + (-53/7 sin(11/7 - 14 t) - 85/4 sin(11/7 - 8 t) - 222/5 sin(11/7 - 6 t) - 3731/6 sin(11/7 - t) + 733/5 sin(2 t + 8/5) + 4786/11 sin(3 t + 8/5) + 301/5 sin(4 t + 8/5) + 96 sin(5 t + 8/5) + 101/8 sin(7 t + 11/7) + 101/4 sin(9 t + 8/5) + 64/3 sin(10 t + 8/5) + 340/11 sin(11 t + 8/5) + 28/5 sin(12 t + 5/3) + 53/9 sin(13 t + 11/7) + 145/24 sin(15 t + 8/5) + 17/8 sin(16 t + 5/3) + 74/5 sin(17 t + 8/5) + 11/6 sin(18 t + 5/3) + 21/4 sin(19 t + 8/5) - 263/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((-9 sin(11/7 - 11 t) - 12/13 sin(23/15 - 8 t) + 45/7 sin(t + 11/7) + 7/9 sin(2 t + 11/7) + 1/2 sin(3 t + 20/13) + 22/5 sin(4 t + 11/7) + 25/6 sin(5 t + 11/7) + 3/8 sin(6 t + 14/9) + 41/10 sin(7 t + 11/7) + 60/7 sin(9 t + 11/7) + 25/3 sin(10 t + 11/7) + 1/2 sin(12 t + 23/5) - 3421/7) θ(23 π - t) θ(t - 19 π) + (-28/11 sin(11/7 - 9 t) - 47/7 sin(14/9 - 8 t) - 33/5 sin(11/7 - 6 t) - 5/11 sin(20/13 - 4 t) - 65/22 sin(14/9 - 3 t) - 11/6 sin(11/7 - 2 t) + 1/5 sin(5 t + 37/8) + 23/24 sin(7 t + 33/7) + 62/11 sin(10 t + 8/5) + 46/7 sin(11 t + 8/5) + 109/11 sin(12 t + 8/5) - 426/5) θ(19 π - t) θ(t - 15 π) + (-6/11 sin(20/13 - 6 t) - 113/10 sin(11/7 - 5 t) - 18/11 sin(17/11 - 4 t) - 330/7 sin(11/7 - 3 t) - 51/4 sin(11/7 - 2 t) + 337/5 sin(t + 11/7) - 3883/8) θ(15 π - t) θ(t - 11 π) + (-49/5 sin(11/7 - 5 t) - 510/11 sin(11/7 - 3 t) + 523/8 sin(t + 11/7) + 290/9 sin(2 t + 11/7) + 2/5 sin(4 t + 11/7) - 817/9) θ(11 π - t) θ(t - 7 π) + (-17/11 sin(3/2 - 119 t) - 6/13 sin(6/5 - 114 t) - 7/8 sin(7/5 - 113 t) - 1/2 sin(4/3 - 112 t) - 7/6 sin(4/3 - 109 t) - 7/3 sin(4/3 - 108 t) - 5/2 sin(23/15 - 104 t) - 1/58 sin(7/8 - 103 t) - 3/5 sin(13/9 - 100 t) - 12/5 sin(14/9 - 99 t) - 3/5 sin(11/8 - 95 t) - 32/13 sin(10/7 - 94 t) - 9/10 sin(20/13 - 93 t) - 33/13 sin(7/5 - 90 t) - 6/5 sin(10/7 - 89 t) - 5/4 sin(11/8 - 83 t) - sin(3/2 - 78 t) - 13/11 sin(22/21 - 75 t) - 2/3 sin(13/10 - 72 t) - 1/2 sin(19/13 - 71 t) - 1/3 sin(19/13 - 70 t) - 5/6 sin(19/13 - 66 t) - 9/8 sin(22/15 - 63 t) - 3/5 sin(6/7 - 60 t) - 5/2 sin(7/5 - 59 t) - 10/3 sin(3/2 - 55 t) - 11/7 sin(13/9 - 54 t) - 17/5 sin(11/8 - 51 t) - 3/5 sin(1/15 - 47 t) - 15/4 sin(23/15 - 44 t) - 44/9 sin(14/9 - 43 t) - 4/5 sin(14/11 - 39 t) - 1/2 sin(5/9 - 38 t) - 1/2 sin(13/9 - 34 t) - 31/7 sin(17/11 - 33 t) - 172/19 sin(14/9 - 32 t) - 46/7 sin(10/7 - 29 t) - 23/6 sin(11/8 - 27 t) - 11/2 sin(13/9 - 23 t) - 11/8 sin(13/10 - 19 t) - 281/20 sin(23/15 - 15 t) - 209/9 sin(3/2 - 10 t) - 1539/14 sin(11/7 - 5 t) + 2879/10 sin(t + 11/7) + 1255/4 sin(2 t + 33/7) + 1580/11 sin(3 t + 33/7) + 869/8 sin(4 t + 11/7) + 316/7 sin(6 t + 11/7) + 392/5 sin(7 t + 33/7) + 466/15 sin(8 t + 8/5) + 22/7 sin(9 t + 5/3) + 925/12 sin(11 t + 14/9) + 171/5 sin(12 t + 16/11) + 385/8 sin(13 t + 3/2) + 457/6 sin(14 t + 11/7) + 78/7 sin(16 t + 47/10) + 311/7 sin(17 t + 33/7) + 199/7 sin(18 t + 13/8) + 59/7 sin(20 t + 22/15) + 167/14 sin(21 t + 3/2) + 51/50 sin(22 t + 10/9) + 18/7 sin(24 t + 14/9) + 58/7 sin(25 t + 13/8) + 53/9 sin(26 t + 11/7) + 40/11 sin(28 t + 17/13) + 118/7 sin(30 t + 8/5) + 19/4 sin(31 t + 13/8) + 25/6 sin(35 t + 19/13) + 31/4 sin(36 t + 20/13) + 2 sin(37 t + 4/3) + 2/3 sin(40 t + 4/3) + 79/39 sin(41 t + 37/8) + 82/15 sin(42 t + 17/10) + 34/11 sin(45 t + 8/5) + 16/9 sin(46 t + 3/2) + 30/11 sin(48 t + 11/8) + 19/11 sin(49 t + 16/11) + 29/11 sin(50 t + 3/2) + 10/3 sin(52 t + 17/11) + 24/7 sin(53 t + 18/11) + 1/17 sin(56 t + 12/5) + 19/8 sin(57 t + 7/4) + 5/6 sin(58 t + 12/7) + 7/6 sin(61 t + 19/13) + 19/5 sin(62 t + 11/7) + 3/4 sin(64 t + 37/8) + 14/9 sin(65 t + 14/3) + 17/9 sin(67 t + 8/5) + 5/7 sin(68 t + 17/11) + 4/11 sin(69 t + 40/9) + 5/7 sin(73 t + 8/5) + 30/11 sin(74 t + 11/7) + 11/9 sin(76 t + 15/11) + 6/5 sin(77 t + 23/15) + 58/57 sin(79 t + 9/2) + 2/7 sin(80 t + 25/7) + 7/8 sin(81 t + 27/14) + 1/7 sin(82 t + 7/10) + 1/9 sin(84 t + 89/22) + 1/7 sin(85 t + 17/8) + sin(86 t + 7/5) + 6/13 sin(87 t + 5/4) + 11/7 sin(88 t + 8/5) + 3/2 sin(91 t + 5/3) + 11/3 sin(92 t + 22/13) + 29/14 sin(96 t + 17/11) + 7/5 sin(97 t + 13/8) + 1/8 sin(98 t + 18/7) + 3/2 sin(101 t + 23/15) + 11/6 sin(102 t + 14/9) + 5/4 sin(105 t + 32/7) + 14/5 sin(106 t + 7/4) + 26/25 sin(107 t + 5/3) + 11/5 sin(110 t + 5/3) + 10/9 sin(111 t + 5/3) + 7/9 sin(115 t + 11/8) + 10/11 sin(116 t + 17/11) + 3/10 sin(117 t + 16/7) + 1/2 sin(118 t + 35/8) + 6/11 sin(120 t + 10/7) - 761/7) θ(7 π - t) θ(t - 3 π) + (-8/7 sin(11/9 - 75 t) - 4/7 sin(7/6 - 72 t) - 4/5 sin(26/17 - 70 t) - 11/6 sin(15/11 - 69 t) - 29/10 sin(11/8 - 68 t) - 8/5 sin(3/2 - 67 t) - 9/7 sin(3/2 - 66 t) - 12/13 sin(10/7 - 65 t) - 2 sin(7/5 - 62 t) - 16/5 sin(25/17 - 60 t) - 49/12 sin(10/7 - 59 t) - 25/7 sin(26/17 - 58 t) - 68/23 sin(3/2 - 56 t) - 27/5 sin(7/5 - 55 t) - 29/14 sin(20/13 - 54 t) - 56/19 sin(25/17 - 50 t) - 1/5 sin(9/7 - 49 t) - 11/12 sin(26/17 - 48 t) - 19/5 sin(10/7 - 46 t) - 13/6 sin(11/8 - 43 t) - 5/2 sin(22/15 - 42 t) - 11/6 sin(3/2 - 40 t) - 2/5 sin(13/14 - 39 t) - 7/5 sin(11/7 - 38 t) - 37/10 sin(22/15 - 36 t) - 52/9 sin(3/2 - 33 t) - 13/3 sin(20/13 - 32 t) - 26/5 sin(11/7 - 31 t) - 62/5 sin(26/17 - 30 t) - 47/5 sin(3/2 - 29 t) - 8/11 sin(4/3 - 27 t) - 29/6 sin(13/9 - 26 t) - 92/7 sin(13/9 - 23 t) - 103/11 sin(3/2 - 22 t) - 77/5 sin(3/2 - 19 t) - 127/6 sin(20/13 - 18 t) - 759/10 sin(17/11 - 10 t) - 629/9 sin(20/13 - 9 t) - 1928/15 sin(14/9 - 6 t) - 4089/13 sin(11/7 - 4 t) - 1027/8 sin(11/7 - 3 t) + 225/4 sin(t + 11/7) + 113/11 sin(2 t + 12/7) + 1891/8 sin(5 t + 8/5) + 451/5 sin(7 t + 8/5) + 477/8 sin(8 t + 8/5) + 493/13 sin(11 t + 11/7) + 812/9 sin(12 t + 8/5) + 50 sin(13 t + 8/5) + 1129/47 sin(14 t + 11/7) + 337/6 sin(15 t + 8/5) + 79/7 sin(16 t + 14/9) + 129/10 sin(17 t + 11/7) + 73/9 sin(20 t + 17/10) + 49/5 sin(21 t + 13/8) + 139/10 sin(24 t + 18/11) + 1277/58 sin(25 t + 18/11) + 51/8 sin(28 t + 33/7) + 7/9 sin(34 t + 17/8) + 7/8 sin(35 t + 13/7) + 21/8 sin(37 t + 12/7) + 1/7 sin(41 t + 58/13) + 38/9 sin(44 t + 16/9) + 5/3 sin(45 t + 19/11) + 1/40 sin(47 t + 4/7) + 1/7 sin(51 t + 31/7) + 13/9 sin(52 t + 9/5) + 3/5 sin(53 t + 9/5) + 2/3 sin(57 t + 7/3) + 5/8 sin(61 t + 37/8) + 2/7 sin(63 t + 59/13) + 29/30 sin(64 t + 25/13) + 7/13 sin(71 t + 16/9) + 2/3 sin(73 t + 13/7) + 2/9 sin(74 t + 19/13) + 6/7 sin(76 t + 39/20) + 1/5 sin(77 t + 11/7) + 4513/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-6/5 sin(14/9 - 8 t) + 26/11 sin(t + 11/7) + 20/13 sin(2 t + 11/7) + 50/11 sin(3 t + 11/7) + 29/8 sin(4 t + 11/7) + 1/60 sin(5 t + 2) + 8/7 sin(6 t + 11/7) + 6/5 sin(7 t + 11/7) + 19/7 sin(9 t + 8/5) + 61/6 sin(10 t + 33/7) + 22/5 sin(11 t + 33/7) + 71/10 sin(12 t + 11/7) - 4194/7) θ(23 π - t) θ(t - 19 π) + (-22/5 sin(14/9 - 12 t) - 24/11 sin(11/7 - 6 t) - 10/9 sin(11/7 - 3 t) + 31/30 sin(t + 11/7) + 29/15 sin(2 t + 11/7) + 23/10 sin(4 t + 8/5) + 13/6 sin(5 t + 33/7) + 21/8 sin(7 t + 11/7) + 6/13 sin(8 t + 8/5) + 85/8 sin(9 t + 8/5) + 59/8 sin(10 t + 8/5) + 37/7 sin(11 t + 8/5) - 3407/7) θ(19 π - t) θ(t - 15 π) + (-29/11 sin(14/9 - 6 t) - 6/5 sin(23/15 - 5 t) - 27/11 sin(14/9 - 4 t) + 22/5 sin(t + 8/5) + 217/3 sin(2 t + 11/7) + 31/5 sin(3 t + 33/7) - 5907/10) θ(15 π - t) θ(t - 11 π) + (-25/8 sin(14/9 - 4 t) - 83/7 sin(11/7 - t) + 613/8 sin(2 t + 11/7) + 49/4 sin(3 t + 11/7) + 27/11 sin(5 t + 11/7) - 4355/9) θ(11 π - t) θ(t - 7 π) + (-3/8 sin(6/13 - 120 t) - 7/8 sin(17/11 - 116 t) - 2/7 sin(17/11 - 109 t) - 15/11 sin(6/5 - 106 t) - 2/7 sin(4/5 - 102 t) - 1/8 sin(28/29 - 98 t) - 1/6 sin(1/5 - 92 t) - sin(7/5 - 91 t) - 27/28 sin(10/9 - 88 t) - 4/11 sin(1/32 - 85 t) - 20/13 sin(17/11 - 81 t) - 20/9 sin(7/5 - 69 t) - 13/8 sin(4/3 - 65 t) - 1/3 sin(22/15 - 64 t) - 16/7 sin(13/9 - 62 t) - 5/8 sin(5/4 - 59 t) - 66/65 sin(9/7 - 58 t) - 9/7 sin(11/7 - 49 t) - 7/9 sin(13/9 - 47 t) - 31/8 sin(13/9 - 46 t) - 23/5 sin(26/17 - 43 t) - 14/15 sin(7/6 - 37 t) - 5 sin(23/15 - 33 t) - 38/5 sin(14/9 - 23 t) - 322/19 sin(14/9 - 21 t) - 54/11 sin(19/13 - 20 t) - 307/8 sin(11/7 - 15 t) - 94/9 sin(11/9 - 11 t) - 235/4 sin(14/9 - 7 t) - 953/7 sin(14/9 - 3 t) + 937/10 sin(t + 11/7) + 6650/9 sin(2 t + 11/7) + 1311/7 sin(4 t + 11/7) + 475/7 sin(5 t + 14/9) + 871/10 sin(6 t + 11/7) + 228/5 sin(8 t + 11/7) + 21/8 sin(9 t + 9/7) + 239/3 sin(10 t + 11/7) + 79/2 sin(12 t + 3/2) + 323/4 sin(13 t + 11/7) + 482/23 sin(14 t + 17/11) + 77/6 sin(16 t + 37/8) + 48/5 sin(17 t + 32/7) + 106/7 sin(18 t + 14/3) + 229/11 sin(19 t + 8/5) + 94/7 sin(22 t + 13/8) + 13/6 sin(24 t + 7/5) + 101/9 sin(25 t + 3/2) + 139/8 sin(26 t + 3/2) + 14/5 sin(27 t + 9/10) + 9/2 sin(28 t + 11/8) + 50/9 sin(29 t + 5/3) + 82/7 sin(30 t + 14/3) + 29/9 sin(31 t + 40/9) + 7/9 sin(32 t + 117/29) + 61/15 sin(34 t + 16/11) + 17/4 sin(35 t + 19/13) + 3 sin(36 t + 16/11) + 31/7 sin(38 t + 11/7) + 7/8 sin(39 t + 1/2) + 11/8 sin(40 t + 5/4) + 26/7 sin(41 t + 17/11) + 4/3 sin(42 t + 11/7) + 14/15 sin(44 t + 9/5) + 25/7 sin(45 t + 13/8) + 74/25 sin(48 t + 5/3) + 6/11 sin(50 t + 13/14) + 28/11 sin(51 t + 7/5) + 32/13 sin(52 t + 9/7) + 16/9 sin(53 t + 11/9) + 43/21 sin(54 t + 15/11) + 3/8 sin(55 t + 22/5) + 5/9 sin(56 t + 17/8) + 13/9 sin(57 t + 14/3) + 13/4 sin(60 t + 14/9) + 9/7 sin(61 t + 20/13) + 17/10 sin(63 t + 17/10) + 8/3 sin(66 t + 8/5) + 4/5 sin(67 t + 20/13) + 4/7 sin(68 t + 7/5) + 7/10 sin(70 t + 17/11) + 6/5 sin(71 t + 3/2) + 17/10 sin(72 t + 19/13) + 13/14 sin(73 t + 8/7) + 3/8 sin(74 t + 1/8) + 2/5 sin(75 t + 9/7) + 1/4 sin(76 t + 5/7) + 5/6 sin(77 t + 11/7) + 1/8 sin(78 t + 57/28) + 1/7 sin(79 t + 25/6) + 1/13 sin(80 t + 10/3) + 9/10 sin(82 t + 7/4) + 1/4 sin(83 t + 19/5) + 1/5 sin(84 t + 21/22) + 14/11 sin(86 t + 10/7) + 9/10 sin(87 t + 17/13) + 8/5 sin(89 t + 11/7) + 9/7 sin(90 t + 17/11) + 1/5 sin(93 t + 7/5) + 5/9 sin(94 t + 13/10) + 2/9 sin(95 t + 12/5) + 1/3 sin(96 t + 39/10) + 9/7 sin(97 t + 14/3) + 14/11 sin(99 t + 11/8) + 16/11 sin(100 t + 9/7) + 3/5 sin(101 t + 1) + 5/6 sin(103 t + 23/5) + sin(104 t + 53/27) + 1/3 sin(105 t + 13/7) + 2/7 sin(107 t + 2/3) + 15/7 sin(108 t + 11/7) + 13/10 sin(110 t + 14/3) + 1/6 sin(111 t + 22/7) + 4/11 sin(112 t + 4/3) + 2/5 sin(113 t + 1/10) + 7/4 sin(114 t + 16/11) + 1/6 sin(115 t + 11/9) + 18/17 sin(117 t + 33/7) + 5/6 sin(118 t + 11/6) + 2/3 sin(119 t + 16/11) - 2403/4) θ(7 π - t) θ(t - 3 π) + (-2/9 sin(5/7 - 75 t) - 4/7 sin(9/7 - 74 t) - 3/5 sin(13/9 - 70 t) - 7/6 sin(7/5 - 68 t) - 10/11 sin(4/3 - 63 t) - 7/5 sin(10/7 - 60 t) - 11/8 sin(3/2 - 56 t) - sin(11/8 - 55 t) - 1/26 sin(7/5 - 50 t) - 5/3 sin(16/11 - 46 t) - 1/2 sin(10/7 - 45 t) - 8/5 sin(25/17 - 43 t) - 41/7 sin(13/9 - 42 t) - 11/3 sin(10/7 - 41 t) - 25/9 sin(3/2 - 38 t) - 1/6 sin(9/13 - 37 t) - 37/11 sin(3/2 - 36 t) - 3/4 sin(7/5 - 35 t) - 43/7 sin(16/11 - 31 t) - 44/9 sin(14/9 - 30 t) - 3/7 sin(13/9 - 29 t) - 70/9 sin(3/2 - 28 t) - 6/5 sin(10/7 - 22 t) - 125/8 sin(14/9 - 16 t) - 144/13 sin(17/11 - 15 t) - 163/4 sin(17/11 - 14 t) - 53/5 sin(14/9 - 13 t) - 421/15 sin(14/9 - 10 t) - 47 sin(17/11 - 9 t) - 829/9 sin(14/9 - 6 t) - 2113/13 sin(11/7 - 3 t) - 232/5 sin(11/7 - t) + 290/9 sin(2 t + 33/7) + 141/8 sin(4 t + 47/10) + 959/12 sin(5 t + 8/5) + 635/6 sin(7 t + 8/5) + 49/10 sin(8 t + 51/11) + 44/7 sin(11 t + 8/5) + 189/8 sin(12 t + 13/8) + 83/12 sin(17 t + 13/8) + 55/9 sin(18 t + 33/7) + 28/3 sin(19 t + 8/5) + 25/6 sin(20 t + 5/3) + 5/8 sin(21 t + 5/7) + 61/15 sin(23 t + 14/9) + 83/15 sin(24 t + 13/8) + 139/11 sin(25 t + 13/8) + 29/10 sin(26 t + 13/8) + 45/8 sin(27 t + 8/5) + 1/5 sin(32 t + 11/4) + 8/5 sin(33 t + 16/9) + 5/6 sin(34 t + 14/3) + 11/3 sin(39 t + 17/10) + 4/11 sin(40 t + 8/3) + 7/5 sin(44 t + 13/7) + 9/7 sin(47 t + 8/5) + 3/4 sin(48 t + 5/3) + 17/7 sin(49 t + 18/11) + 4/3 sin(51 t + 8/5) + 1/9 sin(52 t + 10/11) + 1/5 sin(53 t + 18/17) + 1/4 sin(54 t + 11/5) + 4/7 sin(57 t + 7/4) + 5/9 sin(58 t + 23/5) + 1/11 sin(59 t + 1) + 13/14 sin(61 t + 9/5) + 1/2 sin(62 t + 33/7) + 1/7 sin(64 t + 15/7) + 1/7 sin(65 t + 10/7) + 1/12 sin(66 t + 39/11) + 2/7 sin(67 t + 12/7) + 3/8 sin(69 t + 17/11) + 14/15 sin(71 t + 7/4) + 2/7 sin(72 t + 63/31) + 1/5 sin(73 t + 23/15) + 11/12 sin(76 t + 25/13) + 6/7 sin(77 t + 7/4) + 7370/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
x(t) = ((250/11 sin(t + 11/7) + 54/53 sin(2 t + 47/10) + 15/4 sin(3 t + 11/7) + 11/8 sin(4 t + 33/7) + 13/7 sin(5 t + 11/7) + 813/2) θ(51 π - t) θ(t - 47 π) + (1661/7 sin(t + 11/7) + 71/7 sin(2 t + 11/7) + 25 sin(3 t + 11/7) + 13/5 sin(4 t + 19/12) + 121/14 sin(5 t + 8/5) + 24/11 sin(6 t + 13/8) + 23/5 sin(7 t + 8/5) + 3/4 sin(8 t + 12/7) - 3805/13) θ(47 π - t) θ(t - 43 π) + (-93/23 sin(5/12 - 26 t) - 143/16 sin(26/25 - 16 t) - 73/6 sin(5/9 - 14 t) - 224/11 sin(8/15 - 12 t) - 186/11 sin(5/9 - 10 t) - 1202/11 sin(2/3 - 8 t) - 607/5 sin(1/6 - 6 t) - 863/25 sin(20/13 - 3 t) - 67/3 sin(8/7 - t) + 208/9 sin(2 t + 8/5) + 389/7 sin(4 t + 5/3) + 1547/18 sin(5 t + 9/2) + 2645/14 sin(7 t + 12/13) + 895/28 sin(9 t + 16/5) + 366/17 sin(11 t + 8/3) + 98/9 sin(13 t + 31/12) + 72/7 sin(15 t + 26/11) + 47/9 sin(17 t + 5/4) + 48/7 sin(18 t + 7/4) + 71/6 sin(19 t + 27/8) + 132/19 sin(20 t + 53/13) + 35/8 sin(21 t + 11/3) + 32/3 sin(22 t + 41/10) + 241/22 sin(23 t + 17/7) + 13/2 sin(24 t + 6/13) + 19/7 sin(25 t + 35/13) + 53/10 sin(27 t + 13/4) + 1711/8) θ(43 π - t) θ(t - 39 π) + (-5/2 sin(1 - 7 t) - 83/10 sin(29/19 - 4 t) + 94/19 sin(t + 31/7) + 51/13 sin(2 t + 29/8) + 29/5 sin(3 t + 2/5) + 74/5 sin(5 t + 38/11) + 58/11 sin(6 t + 9/2) + 8/3 sin(8 t + 40/39) + 592/7) θ(39 π - t) θ(t - 35 π) + (-7/15 sin(3/5 - 13 t) - 1/3 sin(7/11 - 10 t) + 9/2 sin(t + 3/7) + 7/4 sin(2 t + 1/3) + 51/13 sin(3 t + 9/2) + 52/7 sin(4 t + 47/14) + 33/4 sin(5 t + 22/9) + 25/11 sin(6 t + 23/6) + 47/11 sin(7 t + 22/5) + 5/3 sin(8 t + 5/8) + sin(9 t + 13/5) + 5/8 sin(11 t + 3/8) + 17/18 sin(12 t + 41/9) + 9/13 sin(14 t + 7/2) + 1499/5) θ(35 π - t) θ(t - 31 π) + (-7 sin(5/6 - t) + 52/7 sin(2 t + 13/5) + 68/3 sin(3 t + 15/11) + 165/7 sin(4 t + 8/3) + 159/5 sin(5 t + 35/8) + 229/14 sin(6 t + 1/37) + 76/3 sin(7 t + 9/2) + 391/26 sin(8 t + 25/8) + 16/7 sin(9 t + 25/6) + 16/15 sin(10 t + 41/10) + 21/8 sin(11 t + 56/13) + 2/3 sin(12 t + 61/15) - 10537/12) θ(31 π - t) θ(t - 27 π) + (-9/8 sin(10/13 - 13 t) - 19/8 sin(15/11 - 11 t) - 106/15 sin(3/10 - 9 t) - 38/3 sin(1/26 - 3 t) + 51/5 sin(t + 11/9) + 15/2 sin(2 t + 31/9) + 157/12 sin(4 t + 19/7) + 497/10 sin(5 t + 31/7) + 1695/22 sin(6 t + 6/7) + 229/6 sin(7 t + 2/9) + 48/7 sin(8 t + 5/9) + 13/9 sin(10 t + 15/8) + 2/5 sin(12 t + 15/7) + 25/12 sin(14 t + 19/10) - 8332/9) θ(27 π - t) θ(t - 23 π) + (-5/6 sin(22/15 - 9 t) - 55/4 sin(9/13 - 5 t) + 111/17 sin(t + 6/7) + 84/5 sin(2 t + 22/9) + 108/5 sin(3 t + 23/5) + 230/7 sin(4 t + 1/3) + 34/7 sin(6 t + 31/8) + 46/11 sin(7 t + 4/5) + 22/9 sin(8 t + 39/20) + 7/4 sin(10 t + 1/7) + 2 sin(11 t + 31/11) + 3/4 sin(12 t + 3/2) + 11/7 sin(13 t + 25/7) - 18327/22) θ(23 π - t) θ(t - 19 π) + (-62/11 sin(7/12 - 3 t) - 43/9 sin(10/19 - 2 t) + 1148/13 sin(t + 5/6) + 47/10 sin(4 t + 56/13) + 11/12 sin(5 t + 4) + 413/5) θ(19 π - t) θ(t - 15 π) + (-5/2 sin(13/9 - 6 t) + 161 sin(t + 3/11) + 53/7 sin(2 t + 31/8) + 273/16 sin(3 t + 19/5) + 9/2 sin(4 t + 19/20) + 23/5 sin(5 t + 22/15) + 479/2) θ(15 π - t) θ(t - 11 π) + (-8/11 sin(5/14 - 11 t) - 25/13 sin(26/17 - 9 t) - 160/11 sin(1/5 - 3 t) - 1782/7 sin(12/11 - t) + 145/8 sin(2 t + 3/10) + 36/5 sin(4 t + 13/8) + 26/7 sin(5 t + 63/31) + 35/8 sin(6 t + 24/11) + 55/28 sin(7 t + 32/9) + 22/13 sin(8 t + 3) + 4/7 sin(10 t + 127/32) + 3/4 sin(12 t + 8/7) + 1/2 sin(13 t + 36/35) + 5/9 sin(14 t + 19/10) + 1553/5) θ(11 π - t) θ(t - 7 π) + (-5/2 sin(8/9 - 9 t) - 147/11 sin(1/2 - 4 t) - 173/6 sin(1/3 - 3 t) - 539/13 sin(5/4 - 2 t) + 2091/8 sin(t + 20/19) + 35/8 sin(5 t + 15/7) + 87/22 sin(6 t + 14/9) + 171/34 sin(7 t + 5/2) + 16/17 sin(8 t + 46/11) + 15/11 sin(10 t + 40/9) + 1390/7) θ(7 π - t) θ(t - 3 π) + (-162/23 sin(12/11 - 11 t) - 391/9 sin(7/6 - 7 t) + 6744/11 sin(t + 105/52) + 695/3 sin(2 t + 7/5) + 65/6 sin(3 t + 51/13) + 152/5 sin(4 t + 25/7) + 41 sin(5 t + 1/12) + 368/9 sin(6 t + 21/8) + 57/2 sin(8 t + 4/3) + 169/14 sin(9 t + 23/6) + 3/8 sin(10 t + 25/13) + 68/7 sin(12 t + 17/10) + 93/10 sin(13 t + 40/9) + 205/34 sin(14 t + 21/20) + 17/3 sin(15 t + 67/17) + 47/19 sin(16 t + 1/4) - 1073/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-7/6 sin(14/9 - 5 t) - 6/7 sin(17/11 - 4 t) - 59/15 sin(11/7 - 3 t) - 7/10 sin(29/19 - 2 t) - 293/6 sin(11/7 - t) - 17244/43) θ(51 π - t) θ(t - 47 π) + (-5/3 sin(11/7 - 8 t) - 41/8 sin(11/7 - 6 t) - 43/7 sin(11/7 - 4 t) - 237/10 sin(11/7 - 2 t) + 1116/11 sin(t + 11/7) + 47/5 sin(3 t + 11/7) + 55/14 sin(5 t + 11/7) + 9/8 sin(7 t + 11/7) - 2727/11) θ(47 π - t) θ(t - 43 π) + (-31/11 sin(9/19 - 25 t) - 562/51 sin(9/11 - 17 t) - 235/9 sin(11/9 - 15 t) - 125/7 sin(2/5 - 14 t) - 91/5 sin(3/5 - 13 t) - 83/12 sin(3/7 - 10 t) - 109/7 sin(6/5 - 7 t) - 67/6 sin(1/19 - 4 t) + 83/7 sin(t + 36/11) + 34/5 sin(2 t + 1/60) + 60/7 sin(3 t + 56/19) + 229/14 sin(5 t + 19/8) + 892/33 sin(6 t + 13/3) + 13/5 sin(8 t + 31/8) + 149/25 sin(9 t + 31/8) + 212/9 sin(11 t + 23/11) + 259/8 sin(12 t + 22/5) + 111/5 sin(16 t + 20/7) + 127/15 sin(18 t + 11/9) + 25/12 sin(19 t + 11/8) + 53/6 sin(20 t + 18/7) + 38/39 sin(21 t + 12/7) + 45/11 sin(22 t + 18/7) + 17/9 sin(23 t + 7/9) + 7/6 sin(24 t + 9/8) + 5/3 sin(26 t + 26/9) + 21/8 sin(27 t + 19/10) + 3299/15) θ(43 π - t) θ(t - 39 π) + (-32/9 sin(3/7 - 6 t) - 31/2 sin(8/7 - 5 t) - 39/11 sin(9/13 - 2 t) + 67/19 sin(t + 18/19) + 23/6 sin(3 t + 7/3) + 75/8 sin(4 t + 1/14) + 26/9 sin(7 t + 6/7) + 23/7 sin(8 t + 3) + 221/3) θ(39 π - t) θ(t - 35 π) + (-3/5 sin(1/3 - 12 t) - 20/11 sin(1 - 9 t) - 151/25 sin(1/3 - 7 t) - 23/12 sin(5/4 - 6 t) - 15/2 sin(14/13 - 4 t) - 7 sin(2/11 - 3 t) + 7/2 sin(t + 13/10) + 28/11 sin(2 t + 7/8) + 199/20 sin(5 t + 38/9) + 37/8 sin(8 t + 16/7) + 4/5 sin(10 t + 10/7) + 1/4 sin(11 t + 37/9) + 3/4 sin(13 t + 7/5) + 2/3 sin(14 t + 14/3) + 611/8) θ(35 π - t) θ(t - 31 π) + (-47/6 sin(8/7 - 6 t) - 5/3 sin(2/3 - 2 t) - 67/10 sin(4/11 - t) + 64/5 sin(3 t + 5/8) + 415/26 sin(4 t + 3/2) + 173/7 sin(5 t + 11/3) + 46/3 sin(7 t + 135/34) + 124/19 sin(8 t + 22/7) + 5 sin(9 t + 7/6) + 31/10 sin(10 t + 3/5) + 5/4 sin(11 t + 17/4) + 14/3 sin(12 t + 53/18) + 649/8) θ(31 π - t) θ(t - 27 π) + (-37/8 sin(1/7 - 11 t) - 223/7 sin(11/9 - 6 t) - 173/43 sin(4/5 - t) + 76/11 sin(2 t + 11/8) + 87/10 sin(3 t + 59/13) + 47/6 sin(4 t + 2/5) + 302/11 sin(5 t + 5/2) + 181/13 sin(7 t + 25/6) + 23/5 sin(8 t + 21/5) + 25/11 sin(9 t + 47/19) + 5/2 sin(10 t + 38/13) + 7/5 sin(12 t + 7/5) + 10/11 sin(13 t + 38/13) + 23/9 sin(14 t + 9/5) + 3187/17) θ(27 π - t) θ(t - 23 π) + (-35/8 sin(4/5 - 10 t) - 11/2 sin(7/11 - t) + 185/8 sin(2 t + 1/5) + 281/10 sin(3 t + 27/11) + 389/9 sin(4 t + 40/9) + 49/2 sin(5 t + 16/5) + 23/7 sin(6 t + 33/7) + 11/7 sin(7 t + 11/7) + 8/5 sin(8 t + 106/35) + 17/7 sin(9 t + 25/9) + 23/9 sin(11 t + 3) + 32/11 sin(12 t + 1/6) + 31/6 sin(13 t + 12/5) + 1133/4) θ(23 π - t) θ(t - 19 π) + (-10/7 sin(1/6 - 4 t) - 167/4 sin(2/3 - t) + 79/5 sin(2 t + 11/8) + 41/8 sin(3 t + 31/7) + sin(5 t + 33/7) - 1759/7) θ(19 π - t) θ(t - 15 π) + (-93/23 sin(3/13 - 5 t) - 15/8 sin(7/9 - 3 t) - 253/18 sin(9/11 - 2 t) - 254/3 sin(6/5 - t) + 3 sin(4 t + 7/11) + 1/3 sin(6 t + 28/19) - 2236/7) θ(15 π - t) θ(t - 11 π) + (-4/5 sin(3/4 - 14 t) - 9/7 sin(2/7 - 12 t) - 17/8 sin(29/28 - 10 t) - 23/9 sin(11/10 - 8 t) - 35/11 sin(11/8 - 6 t) - 9 sin(25/17 - 4 t) - 383/10 sin(5/8 - 2 t) + 305/2 sin(t + 6/7) + 173/11 sin(3 t + 11/9) + 41/6 sin(5 t + 20/9) + 22/7 sin(7 t + 13/7) + 7/11 sin(9 t + 8/3) + 5/7 sin(11 t + 12/7) + 19/14 sin(13 t + 28/11) - 482/3) θ(11 π - t) θ(t - 7 π) + (-77/10 sin(19/14 - 8 t) - 32/5 sin(16/13 - 7 t) - 89/2 sin(1/12 - 2 t) + 565/9 sin(t + 18/7) + 40 sin(3 t + 22/15) + 71/11 sin(4 t + 1/2) + 125/9 sin(5 t + 6/5) + 19/4 sin(6 t + 11/3) + 46/13 sin(9 t + 26/7) + 25/7 sin(10 t + 3/8) + 579/7) θ(7 π - t) θ(t - 3 π) + (-7/2 sin(8/9 - 13 t) - 13/4 sin(3/7 - 11 t) - 631/70 sin(7/12 - 9 t) - 662/25 sin(9/7 - 6 t) - 308/9 sin(2/3 - 3 t) + 7099/9 sin(t + 15/4) + 906/7 sin(2 t + 3) + 105/4 sin(4 t + 133/66) + 97/3 sin(5 t + 109/36) + 209/8 sin(7 t + 5/7) + 160/9 sin(8 t + 3) + 33/7 sin(10 t + 15/7) + 7/3 sin(12 t + 23/9) + 20/11 sin(14 t + 29/15) + 5/4 sin(15 t + 17/5) + 4/3 sin(16 t + 22/7) + 2909/10) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
以上、Unityゲーム王国騎士ロボットVTuber Koshiがお送りしました!
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#参考
フィールズ賞はもらった!:
初音ミクの数式が解明 さらにいろんな「俺の嫁」が関数で描けることが判明
https://nlab.itmedia.co.jp/nl/articles/1305/02/news063.html
数式で書かれたキャラクターのまとめ
https://matome.naver.jp/odai/2136899682843950301
###更新
追加・修正して欲しいなどの要望があれば教えて下さい(〇〇が入ってない-54)
もっと出してほらほら