各国有名人・歴史人物キャラクター曲線&数式一覧（WolframAlpha）

はじめに

ロボカッケー皆さんコンバトラー†[□ □]■━　
Wolframは数学の宿題の共、王国騎士🏰ロボットVTuber⚔Koshiだ🗡️

WolframAlpha https://ja.wolframalpha.com/
を使って、国別に、有名人・歴史人物の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
ゲーム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
生き物・ファンタジーモンスター曲線一覧（Wolfram Alpha）はこちら

有名人

有名人曲線、数式一覧（コピペ用）
指定がなければ、基本的にパラメトリック方程式で示されている。

アメリカ

ドナルド・トランプ（Donald John Trump）

x(t) = ((-13/5 sin(7/6 - 118 t) - 9/8 sin(4/7 - 103 t) - 16/5 sin(3/2 - 100 t) - 149/30 sin(11/9 - 81 t) - 69/17 sin(13/9 - 80 t) - 71/13 sin(3/2 - 76 t) - 62/7 sin(10/7 - 70 t) - 15/4 sin(2/3 - 68 t) - 10 sin(10/7 - 66 t) - 89/7 sin(10/7 - 64 t) - 128/9 sin(3/2 - 62 t) - 25/2 sin(7/5 - 60 t) - 100/7 sin(17/11 - 58 t) - 324/17 sin(11/7 - 40 t) - 42/5 sin(4/3 - 37 t) - 103/5 sin(7/5 - 30 t) - 141/5 sin(10/7 - 23 t) - 36/7 sin(6/7 - 20 t) - 284/19 sin(23/15 - 8 t) - 8/3 sin(6/5 - 2 t) + 3241/5 sin(t + 11/7) + 437/6 sin(3 t + 17/11) + 399/10 sin(4 t + 11/7) + 181/12 sin(5 t + 11/7) + 17/7 sin(6 t + 7/5) + 34 sin(7 t + 11/7) + 58/7 sin(9 t + 11/7) + 158/9 sin(10 t + 8/5) + 60/7 sin(11 t + 15/11) + 20/9 sin(12 t + 8/15) + 13 sin(13 t + 8/5) + 49/8 sin(14 t + 20/13) + 210/19 sin(15 t + 10/7) + 22/5 sin(16 t + 4/3) + 41/8 sin(17 t + 23/15) + 87/5 sin(18 t + 8/5) + 42/5 sin(19 t + 13/8) + 44/3 sin(21 t + 17/11) + 14 sin(22 t + 3/2) + 29/2 sin(24 t + 9/7) + 347/7 sin(25 t + 8/5) + 359/10 sin(26 t + 35/8) + 833/8 sin(27 t + 37/8) + 528/7 sin(28 t + 7/5) + 527/4 sin(29 t + 7/5) + 1202/13 sin(31 t + 32/7) + 1361/34 sin(32 t + 37/9) + 401/11 sin(33 t + 22/5) + 326/9 sin(34 t + 51/11) + 94/3 sin(35 t + 10/7) + 25 sin(36 t + 8/7) + 694/11 sin(38 t + 11/8) + 399/20 sin(39 t + 7/5) + 396/5 sin(41 t + 13/9) + 549/11 sin(42 t + 14/3) + 216/7 sin(43 t + 11/8) + 54/7 sin(44 t + 8/5) + 109/3 sin(45 t + 51/11) + 243/7 sin(46 t + 20/13) + 165/4 sin(47 t + 41/9) + 449/25 sin(48 t + 8/5) + 185/9 sin(49 t + 41/9) + 53/9 sin(50 t + 11/5) + 139/10 sin(51 t + 33/7) + 15/4 sin(52 t + 19/6) + 21/2 sin(53 t + 33/7) + 61/7 sin(54 t + 14/3) + 192/11 sin(55 t + 3/2) + 67/4 sin(56 t + 33/7) + 89/9 sin(57 t + 19/10) + 151/9 sin(59 t + 8/5) + 73/5 sin(61 t + 8/5) + 48/5 sin(63 t + 11/6) + 241/16 sin(65 t + 11/7) + 89/5 sin(67 t + 7/5) + 52/5 sin(69 t + 10/7) + 145/12 sin(71 t + 13/8) + 91/8 sin(72 t + 47/10) + 2 sin(73 t + 12/5) + 38/5 sin(74 t + 58/13) + 62/9 sin(75 t + 12/7) + 13/9 sin(77 t + 32/13) + 19/6 sin(78 t + 3/4) + 46/7 sin(79 t + 18/11) + 27/2 sin(82 t + 7/6) + 89/9 sin(83 t + 11/8) + 109/8 sin(84 t + 13/3) + 19/7 sin(85 t + 107/27) + 34/3 sin(86 t + 6/5) + 63/8 sin(87 t + 4/7) + 173/29 sin(88 t + 9/10) + 19/4 sin(89 t + 38/9) + 16/3 sin(90 t + 23/7) + 37/12 sin(91 t + 4) + 25/3 sin(92 t + 6/5) + 81/11 sin(93 t + 2/3) + 34/5 sin(94 t + 5/7) + 59/9 sin(95 t + 6/7) + 29/9 sin(96 t + 10/7) + 32/9 sin(97 t + 31/8) + 10/3 sin(98 t + 29/8) + 11/8 sin(99 t + 17/8) + 15/11 sin(101 t + 1/2) + 15/7 sin(102 t + 3/7) + 19/13 sin(104 t + 25/26) + 47/23 sin(105 t + 8/5) + 53/9 sin(106 t + 35/8) + 26/9 sin(107 t + 67/17) + 12/5 sin(108 t + 29/8) + 53/7 sin(109 t + 17/4) + 65/7 sin(110 t + 17/4) + 43/8 sin(111 t + 4) + 47/12 sin(112 t + 49/12) + 28/5 sin(113 t + 53/13) + 65/9 sin(114 t + 27/7) + 33/7 sin(115 t + 23/6) + 31/8 sin(116 t + 17/4) + 15/8 sin(117 t + 1/20) + 12/5 sin(119 t + 61/15) + 4/7 sin(120 t + 25/7) + 461/8) θ(155 π - t) θ(t - 151 π) + (-37/6 sin(11/7 - 3 t) - 812/13 sin(11/7 - t) + 138/11 sin(2 t + 11/7) + 20/9 sin(4 t + 11/7) - 4494/19) θ(151 π - t) θ(t - 147 π) + (-15/8 sin(11/7 - 4 t) - 205/51 sin(11/7 - 2 t) + 151/6 sin(t + 11/7) + 16/5 sin(3 t + 11/7) + 2599/9) θ(147 π - t) θ(t - 143 π) + (-16/5 sin(14/9 - 41 t) - 124/41 sin(11/7 - 39 t) - 43/11 sin(14/9 - 31 t) - 9/2 sin(11/7 - 17 t) - 55/14 sin(14/9 - 16 t) - 133/8 sin(14/9 - 11 t) - 169/11 sin(14/9 - 6 t) - 307/8 sin(14/9 - 5 t) + 3457/3 sin(t + 11/7) + 603/4 sin(2 t + 11/7) + 1175/6 sin(3 t + 33/7) + 336/5 sin(4 t + 33/7) + 92/5 sin(7 t + 47/10) + 135/17 sin(8 t + 13/8) + 39/38 sin(9 t + 59/13) + 57/5 sin(10 t + 8/5) + 121/8 sin(12 t + 11/7) + 123/10 sin(13 t + 33/7) + 12/7 sin(14 t + 13/7) + 12/7 sin(15 t + 12/7) + 31/7 sin(18 t + 14/3) + 70/9 sin(19 t + 47/10) + 34/9 sin(20 t + 47/10) + 71/18 sin(21 t + 47/10) + 1/5 sin(22 t + 32/11) + 23/4 sin(23 t + 33/7) + 11/7 sin(24 t + 12/7) + 82/15 sin(25 t + 33/7) + 7/4 sin(26 t + 37/8) + 26/9 sin(27 t + 33/7) + 23/6 sin(28 t + 14/3) + 13/7 sin(29 t + 23/5) + 9/10 sin(30 t + 41/9) + 13/8 sin(32 t + 13/8) + 23/8 sin(33 t + 14/3) + 5/3 sin(34 t + 14/3) + 11/5 sin(35 t + 5/3) + 10/3 sin(36 t + 47/10) + 12/7 sin(37 t + 8/5) + sin(38 t + 14/9) + 7/3 sin(40 t + 5/3) + 1/6 sin(42 t + 5/2) + 63/31 sin(43 t + 47/10) + 10/7 sin(44 t + 14/3) + 1/2 sin(45 t + 51/11) + 11/10 sin(46 t + 14/3) + 1/6 sin(47 t + 11/6) + 9/7 sin(48 t + 8/5) + 3/11 sin(49 t + 49/11) + 1/6 sin(50 t + 30/7) + 2/7 sin(51 t + 17/8) - 989/8) θ(143 π - t) θ(t - 139 π) + (46/5 sin(t + 11/7) + 118/5 sin(2 t + 33/7) + 13/12 sin(3 t + 14/3) + 326) θ(139 π - t) θ(t - 135 π) + (-93/2 sin(11/7 - 3 t) + 309/5 sin(t + 11/7) + 472/11 sin(2 t + 11/7) + 2/7 sin(4 t + 4/3) - 200/3) θ(135 π - t) θ(t - 131 π) + (1487/8 sin(t + 11/7) + sin(2 t + 16/11) + 93/5 sin(3 t + 11/7) + 6/5 sin(4 t + 17/11) - 287/4) θ(131 π - t) θ(t - 127 π) + (1116/7 sin(t + 11/7) + 101/4 sin(2 t + 11/7) + 74/5 sin(3 t + 11/7) + 52/9 sin(4 t + 14/9) - 1911/4) θ(127 π - t) θ(t - 123 π) + (-3 sin(7/5 - 18 t) - 31/6 sin(14/9 - 16 t) - 1/6 sin(8/7 - 15 t) - 7 sin(17/11 - 14 t) - 7/6 sin(27/28 - 12 t) - 25 sin(14/9 - 4 t) + 313/12 sin(t + 11/7) + 326/13 sin(2 t + 33/7) + 61/3 sin(3 t + 11/7) + 187/6 sin(5 t + 11/7) + 645/11 sin(6 t + 33/7) + 671/9 sin(7 t + 8/5) + 1665/32 sin(8 t + 13/8) + 23/7 sin(9 t + 125/31) + 57/29 sin(10 t + 13/6) + 9/4 sin(11 t + 3/2) + 7/2 sin(13 t + 13/9) + 13/6 sin(17 t + 10/7) + 2 sin(19 t + 10/7) + 1/9 sin(20 t + 35/12) + 30/7 sin(21 t + 14/3) + 19/8 sin(22 t + 7/4) + 46/9 sin(23 t + 13/8) + 7730/9) θ(123 π - t) θ(t - 119 π) + (-8/3 sin(17/11 - 22 t) - 37/7 sin(3/2 - 20 t) - 59/4 sin(17/11 - 15 t) - 80/9 sin(11/7 - 2 t) + 236/7 sin(t + 11/7) + 48/7 sin(3 t + 11/7) + 18/7 sin(4 t + 17/11) + 131/26 sin(5 t + 11/7) + 5/2 sin(6 t + 23/15) + 13/2 sin(7 t + 14/9) + 1/4 sin(8 t + 49/48) + 29/7 sin(9 t + 14/9) + 82/9 sin(10 t + 20/13) + 41/4 sin(11 t + 23/15) + 21/5 sin(12 t + 10/7) + 321/20 sin(13 t + 14/9) + 106/5 sin(14 t + 11/7) + 31/9 sin(16 t + 33/7) + 27/8 sin(17 t + 11/7) + 1/43 sin(18 t + 35/34) + 47/7 sin(19 t + 11/7) + 48/11 sin(21 t + 11/7) + 17/4 sin(23 t + 8/5) + 2 sin(24 t + 33/7) + 855) θ(119 π - t) θ(t - 115 π) + (-23/7 sin(11/7 - 27 t) - 120/7 sin(11/7 - 12 t) - 181/6 sin(11/7 - 8 t) - 19/6 sin(14/9 - 3 t) - 189/8 sin(11/7 - t) + 55/6 sin(2 t + 14/9) + 299/12 sin(4 t + 11/7) + 1/6 sin(5 t + 3/5) + 719/24 sin(6 t + 11/7) + 82/7 sin(7 t + 17/11) + 49/24 sin(9 t + 13/10) + 732/7 sin(10 t + 11/7) + 96/7 sin(11 t + 17/11) + 62/5 sin(13 t + 11/7) + 309/8 sin(14 t + 47/10) + 25/6 sin(15 t + 23/5) + 91/4 sin(16 t + 47/10) + 76/9 sin(17 t + 37/8) + 1/4 sin(18 t + 3) + 136/11 sin(19 t + 14/3) + 7/4 sin(20 t + 12/7) + 10 sin(21 t + 33/7) + 33/5 sin(22 t + 8/5) + 9 sin(23 t + 33/7) + sin(24 t + 2) + 119/9 sin(25 t + 47/10) + 91/11 sin(26 t + 13/8) + 59/7 sin(28 t + 14/3) + 39/5 sin(29 t + 33/7) + 97/14 sin(30 t + 8/5) + 23/10 sin(31 t + 33/7) + 3/4 sin(32 t + 2) - 11397/14) θ(115 π - t) θ(t - 111 π) + (39/7 sin(t + 11/7) + 29/6 sin(2 t + 11/7) + 11/3 sin(3 t + 8/5) + 5/9 sin(4 t + 8/5) - 5325/7) θ(111 π - t) θ(t - 107 π) + (-2/7 sin(14/9 - 4 t) - 36/7 sin(11/7 - 2 t) + 779/9 sin(t + 11/7) + 51/5 sin(3 t + 11/7) + 7/2 sin(5 t + 11/7) + 3044/9) θ(107 π - t) θ(t - 103 π) + (-38/3 sin(11/7 - 2 t) + 2619/20 sin(t + 11/7) + 82/7 sin(3 t + 11/7) + 5266/27) θ(103 π - t) θ(t - 99 π) + (2867/12 sin(t + 11/7) + 95/6 sin(2 t + 8/5) + 155/9 sin(3 t + 11/7) + 14/3 sin(4 t + 8/5) + 31/5 sin(5 t + 8/5) + 12/7 sin(6 t + 18/11) + 25/6 sin(7 t + 8/5) + 1/9 sin(8 t + 15/4) + 18/7 sin(9 t + 8/5) + 1/6 sin(10 t + 9/2) + 10/7 sin(11 t + 8/5) + 1/15 sin(12 t + 23/10) - 113) θ(99 π - t) θ(t - 95 π) + (-487/8 sin(11/7 - t) + 11/3 sin(2 t + 11/7) + 362/7 sin(3 t + 11/7) + 123/13 sin(4 t + 33/7) + 64/3 sin(5 t + 11/7) + 11/9 sin(6 t + 37/8) + 143/6 sin(7 t + 11/7) + 33/7 sin(8 t + 47/10) + 31/3 sin(9 t + 11/7) + 22/9 sin(10 t + 33/7) + 45/13 sin(11 t + 8/5) + 41/9 sin(12 t + 8/5) + 31/16 sin(13 t + 11/7) + 4 sin(14 t + 33/7) + 7/6 sin(15 t + 8/5) + 29/10 sin(16 t + 8/5) + 19/7 sin(17 t + 33/7) + 49/25 sin(18 t + 8/5) + 8/5 sin(19 t + 8/5) + 4/9 sin(20 t + 23/5) + 12/5 sin(21 t + 8/5) - 10319/12) θ(95 π - t) θ(t - 91 π) + (-5/8 sin(3/2 - 17 t) - 5/4 sin(14/9 - 13 t) - 6/5 sin(17/11 - 9 t) - 1/21 sin(2/3 - 8 t) - 65/8 sin(14/9 - 7 t) - 28/3 sin(14/9 - 6 t) - 39/8 sin(11/7 - 5 t) - 32/7 sin(11/7 - 4 t) - 344/15 sin(11/7 - 3 t) + 541/15 sin(t + 11/7) + 71/8 sin(2 t + 11/7) + 2/9 sin(10 t + 4/3) + 1/19 sin(11 t + 31/7) + 2/3 sin(12 t + 8/5) + 1/20 sin(14 t + 10/7) + 3/2 sin(15 t + 13/8) + 3/7 sin(16 t + 11/7) + 5251/7) θ(91 π - t) θ(t - 87 π) + (-418/3 sin(11/7 - t) + 17/7 sin(2 t + 33/7) - 2149/12) θ(87 π - t) θ(t - 83 π) + (-3/4 sin(3/2 - 12 t) - 7/5 sin(11/7 - 11 t) - 11/3 sin(3/2 - 10 t) - 167/5 sin(14/9 - 7 t) - 77/8 sin(14/9 - 4 t) - 257/6 sin(11/7 - 3 t) - 548/7 sin(11/7 - 2 t) - 1531/15 sin(11/7 - t) + 25/3 sin(5 t + 8/5) + 47/8 sin(6 t + 11/7) + 103/7 sin(8 t + 8/5) + 12/7 sin(9 t + 33/7) + 8053/13) θ(83 π - t) θ(t - 79 π) + (-6/5 sin(14/9 - 4 t) - 4 sin(11/7 - 2 t) + 295/2 sin(t + 11/7) + 55/4 sin(3 t + 11/7) + 4 sin(5 t + 11/7) + 5/6 sin(6 t + 33/7) + 19/8 sin(7 t + 11/7) + 2/7 sin(8 t + 14/3) + 18/11 sin(9 t + 8/5) + 1/11 sin(10 t + 33/7) + 11/9 sin(11 t + 11/7) + 1/12 sin(12 t + 19/11) + 931/2) θ(79 π - t) θ(t - 75 π) + (-1/2 sin(2/3 - 26 t) - 15/8 sin(3/4 - 23 t) - 11/6 sin(5/9 - 18 t) - 11/5 sin(6/5 - 15 t) - 12/5 sin(5/7 - 13 t) - 78/11 sin(12/13 - 8 t) - 203/10 sin(11/9 - 7 t) - 51/11 sin(7/11 - 4 t) - 145/6 sin(10/7 - 3 t) + 742/5 sin(t + 13/8) + 186/7 sin(2 t + 5/3) + 41/4 sin(5 t + 14/3) + 27/2 sin(6 t + 17/10) + 64/7 sin(9 t + 43/21) + 43/11 sin(10 t + 17/6) + 75/8 sin(11 t + 29/14) + 7/4 sin(12 t + 16/5) + 8/5 sin(14 t + 11/6) + 7/8 sin(16 t + 1) + 11/9 sin(17 t + 20/7) + 3/7 sin(19 t + 5/9) + 11/7 sin(20 t + 14/5) + 10/11 sin(21 t + 4) + 7/5 sin(22 t + 23/12) + 4/3 sin(24 t + 7/11) + 1/3 sin(25 t + 11/3) + 6/5 sin(27 t + 77/26) + 6/5 sin(28 t + 25/7) + 3/2 sin(29 t + 1/5) + 13/10 sin(30 t + 4/5) + 483/4) θ(75 π - t) θ(t - 71 π) + (-12/7 sin(11/7 - 5 t) - 13/4 sin(14/9 - 2 t) - 251/4 sin(11/7 - t) + 23/5 sin(3 t + 33/7) + 2/9 sin(4 t + 37/8) - 288/5) θ(71 π - t) θ(t - 67 π) + (274/5 sin(t + 33/7) + 83/3 sin(2 t + 33/7) + 11 sin(3 t + 11/7) + 187/8 sin(4 t + 33/7) + 37/8 sin(5 t + 33/7) + 22/5 sin(6 t + 11/7) + 33/8 sin(7 t + 11/7) + 139/28 sin(8 t + 33/7) + 15/4 sin(9 t + 33/7) + 13/9 sin(10 t + 11/7) + 6/5 sin(11 t + 11/7) + 2815/9) θ(67 π - t) θ(t - 63 π) + (-59/10 sin(20/13 - 11 t) - 112/15 sin(10/7 - 8 t) - 212/5 sin(3/2 - 7 t) - 449/18 sin(3/2 - 6 t) - 109/10 sin(13/9 - 5 t) - 271/5 sin(11/7 - 3 t) - 3359/21 sin(11/7 - t) + 1088/11 sin(2 t + 11/7) + 58/7 sin(4 t + 13/9) + 93/8 sin(9 t + 8/5) + 65/7 sin(10 t + 8/5) + 2/5 sin(12 t + 6/5) - 2466/7) θ(63 π - t) θ(t - 59 π) + (-1/5 sin(3/2 - 5 t) - 51/10 sin(11/7 - 3 t) + 1451/8 sin(t + 11/7) + 227/6 sin(2 t + 11/7) + 101/7 sin(4 t + 11/7) + 11/10 sin(6 t + 11/7) + 3652/9) θ(59 π - t) θ(t - 55 π) + (-91/45 sin(11/7 - 5 t) - 169/34 sin(11/7 - 4 t) - 31/9 sin(11/7 - 3 t) - 159/10 sin(11/7 - 2 t) - 1013/23 sin(11/7 - t) + 834/7) θ(55 π - t) θ(t - 51 π) + (-8/7 sin(13/9 - 38 t) - 5/3 sin(20/13 - 30 t) - 44/7 sin(17/11 - 26 t) - 13/5 sin(3/2 - 19 t) - 137/23 sin(3/2 - 17 t) - 2/5 sin(6/7 - 14 t) - 13/5 sin(10/7 - 12 t) - 19/6 sin(14/9 - 9 t) - 7/10 sin(3/2 - 6 t) - 85/13 sin(14/9 - 4 t) - 51/8 sin(14/9 - 2 t) + 1059/7 sin(t + 11/7) + 22/5 sin(3 t + 8/5) + 95/8 sin(5 t + 11/7) + 37/9 sin(7 t + 11/7) + 3/7 sin(8 t + 8/5) + 45/7 sin(10 t + 14/9) + 145/16 sin(11 t + 11/7) + 85/8 sin(13 t + 11/7) + 11/2 sin(15 t + 17/11) + 176/25 sin(16 t + 11/7) + 117/8 sin(18 t + 11/7) + 22/5 sin(20 t + 37/8) + 15/4 sin(21 t + 32/7) + 131/7 sin(22 t + 14/3) + 491/49 sin(23 t + 14/3) + 57/8 sin(24 t + 11/7) + 53/5 sin(25 t + 11/7) + 8/7 sin(27 t + 5/3) + 5/7 sin(28 t + 7/5) + 21/11 sin(29 t + 8/5) + 13/5 sin(31 t + 14/9) + 11/12 sin(32 t + 9/7) + 8/3 sin(33 t + 23/15) + 1/4 sin(34 t + 4/7) + 25/9 sin(35 t + 20/13) + 11/5 sin(36 t + 13/9) + 18/7 sin(37 t + 20/13) + 9147/17) θ(51 π - t) θ(t - 47 π) + (-2/3 sin(14/9 - 36 t) - 23/5 sin(10/7 - 35 t) - 40/11 sin(19/13 - 33 t) - 11/7 sin(7/5 - 32 t) - 36/7 sin(14/9 - 21 t) - 165/8 sin(3/2 - 20 t) - 38/7 sin(3/2 - 17 t) - 70/23 sin(14/9 - 16 t) - 31/6 sin(14/9 - 11 t) - 146/21 sin(14/9 - 10 t) - 61/6 sin(11/7 - 2 t) + 1014/5 sin(t + 11/7) + 22 sin(3 t + 11/7) + 1/6 sin(4 t + 34/9) + 27/8 sin(5 t + 8/5) + 12/13 sin(6 t + 12/7) + 141/35 sin(7 t + 8/5) + 83/11 sin(8 t + 8/5) + 9/8 sin(9 t + 5/3) + 3/2 sin(12 t + 13/8) + 117/29 sin(13 t + 13/8) + 72/11 sin(14 t + 8/5) + 36/5 sin(15 t + 8/5) + 33/5 sin(18 t + 13/8) + 9/8 sin(19 t + 41/9) + 115/6 sin(22 t + 18/11) + 77/8 sin(23 t + 8/5) + 47/12 sin(24 t + 5/3) + 38/5 sin(25 t + 5/3) + 2/3 sin(26 t + 37/8) + 4 sin(27 t + 5/3) + 35/12 sin(28 t + 9/5) + 20/7 sin(29 t + 13/8) + 1/7 sin(30 t + 6/7) + 23/7 sin(31 t + 7/4) + 37/7 sin(34 t + 5/3) + 53/26 sin(37 t + 17/10) - 2507/11) θ(47 π - t) θ(t - 43 π) + (-2/5 sin(14/9 - 30 t) - 13/8 sin(14/9 - 20 t) - 5/9 sin(14/9 - 12 t) - 66/7 sin(11/7 - 10 t) - 632/11 sin(11/7 - 2 t) + 477/17 sin(t + 11/7) + 109/4 sin(3 t + 33/7) + 215/11 sin(4 t + 33/7) + 63/8 sin(5 t + 33/7) + 1/21 sin(6 t + 2) + sin(7 t + 14/9) + 28/5 sin(8 t + 11/7) + 18/5 sin(9 t + 33/7) + 17/8 sin(11 t + 8/5) + 9/10 sin(13 t + 11/7) + 11/10 sin(14 t + 47/10) + 1/14 sin(15 t + 22/5) + 17/10 sin(16 t + 33/7) + 1/2 sin(17 t + 14/3) + 15/14 sin(18 t + 33/7) + 7/3 sin(19 t + 8/5) + 1/7 sin(21 t + 49/11) + 3/5 sin(22 t + 14/3) + 1/11 sin(23 t + 10/7) + 1/4 sin(24 t + 33/7) + 1/3 sin(25 t + 8/5) + 4/9 sin(26 t + 47/10) + 1/3 sin(28 t + 37/8) + 1/4 sin(29 t + 12/7) + 473/10) θ(43 π - t) θ(t - 39 π) + (-3/4 sin(20/13 - 21 t) - 5/7 sin(7/5 - 20 t) - 3/5 sin(13/9 - 19 t) - 6/5 sin(11/8 - 15 t) - 7/2 sin(13/9 - 14 t) - 49/6 sin(3/2 - 10 t) - 35/18 sin(20/13 - 9 t) - 19/3 sin(11/7 - 7 t) - 158/7 sin(14/9 - 4 t) - 334/11 sin(17/11 - 3 t) - 239/3 sin(11/7 - 2 t) + 254/7 sin(t + 11/7) + 11/4 sin(5 t + 17/10) + 8/5 sin(6 t + 12/7) + 17/7 sin(8 t + 12/7) + 12/5 sin(11 t + 8/5) + 16/17 sin(12 t + 15/8) + 22/15 sin(13 t + 13/8) + 1/56 sin(16 t + 2) + 1/2 sin(17 t + 12/7) + 5/11 sin(18 t + 9/5) + 5/6 sin(22 t + 9/5) + 1289/15) θ(39 π - t) θ(t - 35 π) + (-24/5 sin(1/6 - t) + 23/9 sin(2 t + 39/19) + 31/6 sin(3 t + 1/3) + 46/9 sin(4 t + 4/3) + 8/3 sin(5 t + 32/31) + 34/11 sin(6 t + 31/7) + 18/19 sin(7 t + 7/6) + 1/2 sin(8 t + 41/9) + 5/6 sin(9 t + 2/3) + 5/6 sin(10 t + 43/10) + 5/7 sin(11 t + 1/10) + 2/5 sin(12 t + 11/3) - 1346/7) θ(35 π - t) θ(t - 31 π) + (-2/5 sin(11/7 - 9 t) - 7/6 sin(23/15 - 6 t) - 61/7 sin(1/6 - t) + 4/9 sin(11 t) + 79/16 sin(2 t + 7/5) + 43/6 sin(3 t + 25/6) + 13/3 sin(4 t + 23/6) + sin(5 t + 12/7) + 3/7 sin(7 t + 26/9) + 19/20 sin(8 t + 45/11) + 3/8 sin(10 t + 25/7) + 1/5 sin(12 t + 79/20) + 3215/7) θ(31 π - t) θ(t - 27 π) + (205/4 sin(t + 11/8) - 967/5) θ(27 π - t) θ(t - 23 π) + (518/11 sin(t + 6/5) + 7073/15) θ(23 π - t) θ(t - 19 π) + (-1/10 sin(11/7 - 10 t) - 2/7 sin(14/9 - 4 t) + 402/5 sin(t + 3/2) + 3/8 sin(2 t + 30/7) + 25/3 sin(3 t + 13/9) + 62/21 sin(5 t + 11/8) + 2/9 sin(6 t + 38/9) + 17/11 sin(7 t + 11/9) + 1/12 sin(8 t + 101/25) + 8/9 sin(9 t + 9/8) + 4/7 sin(11 t + 17/16) + 1/7 sin(12 t + 13/3) + 2825/6) θ(19 π - t) θ(t - 15 π) + (507/5 sin(t + 11/7) + 10/11 sin(2 t + 25/6) + 65/6 sin(3 t + 5/3) + 5/9 sin(4 t + 11/3) + 23/6 sin(5 t + 17/10) + 2/5 sin(6 t + 19/5) + 15/8 sin(7 t + 7/4) + 1/3 sin(8 t + 7/2) + 8/7 sin(9 t + 9/5) + 1/6 sin(10 t + 16/5) + 6/7 sin(11 t + 7/4) + 1/6 sin(12 t + 17/5) - 1834/9) θ(15 π - t) θ(t - 11 π) + (-3/4 sin(3/5 - 11 t) + 547/4 sin(t + 11/7) + 14/3 sin(2 t + 23/7) + 41/10 sin(3 t + 23/10) + 25/4 sin(4 t + 14/5) + 13/7 sin(5 t + 69/34) + 29/8 sin(6 t + 26/11) + 13/8 sin(7 t + 20/13) + 11/10 sin(8 t + 13/7) + 4/5 sin(9 t + 4/7) + 3/7 sin(10 t + 21/11) + 3/5 sin(12 t + 25/6) + 251/3) θ(11 π - t) θ(t - 7 π) + (1524/7 sin(t + 20/13) + 61/11 sin(2 t + 59/15) + 22/3 sin(3 t + 9/4) + 41/7 sin(4 t + 25/6) + 5 sin(5 t + 11/6) + 51/10 sin(6 t + 19/5) + 3 sin(7 t + 12/7) + 53/13 sin(8 t + 22/7) + 29/9 sin(9 t + 11/7) + 12/7 sin(10 t + 38/15) + 16/5 sin(11 t + 13/12) + 7/11 sin(12 t + 9/7) + 484/7) θ(7 π - t) θ(t - 3 π) + (-9/4 sin(4/5 - 22 t) - 41/21 sin(7/6 - 21 t) - 16/5 sin(4/11 - 19 t) - 83/10 sin(8/15 - 10 t) + 7972/9 sin(t + 10/11) + 391/7 sin(2 t + 1/2) + 411/7 sin(3 t + 12/7) + 207/8 sin(4 t + 27/10) + 573/52 sin(5 t + 31/7) + 92/5 sin(6 t + 11/8) + 101/6 sin(7 t + 33/16) + 79/5 sin(8 t + 7/6) + 145/18 sin(9 t + 4/3) + 39/4 sin(11 t + 1/11) + 33/7 sin(12 t + 15/4) + 16/5 sin(13 t + 43/10) + 34/7 sin(14 t + 41/20) + 33/7 sin(15 t + 13/5) + 24/7 sin(16 t + 1/6) + 41/7 sin(17 t + 16/15) + 3/4 sin(18 t + 19/6) + 3/10 sin(20 t + 23/24) - 1013/10) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-3/10 sin(9/7 - 117 t) - 32/13 sin(1 - 98 t) - 7/4 sin(7/8 - 91 t) - 21/8 sin(16/11 - 84 t) - 29/6 sin(10/7 - 61 t) - 23/11 sin(9/8 - 55 t) - 269/7 sin(3/2 - 25 t) - 37/3 sin(11/7 - 19 t) - 113/5 sin(14/9 - 18 t) - 113/9 sin(3/2 - 10 t) - 163/54 sin(14/9 - 8 t) - 163/10 sin(11/7 - 6 t) - 2987/36 sin(11/7 - 2 t) + 254/5 sin(t + 11/7) + 310/7 sin(3 t + 11/7) + 297/7 sin(4 t + 33/7) + 47/3 sin(5 t + 14/9) + 19/2 sin(7 t + 33/7) + 43/8 sin(9 t + 17/11) + 28/9 sin(11 t + 21/5) + 25/3 sin(12 t + 9/2) + 81/7 sin(13 t + 14/3) + 82/7 sin(14 t + 14/3) + 120/7 sin(15 t + 32/7) + 147/11 sin(16 t + 32/7) + 27/2 sin(17 t + 14/3) + 25/3 sin(20 t + 13/3) + 193/11 sin(21 t + 23/5) + 128/7 sin(22 t + 50/11) + 87/10 sin(23 t + 16/7) + 175/11 sin(24 t + 31/7) + 241/8 sin(26 t + 6/5) + 1008/13 sin(27 t + 13/9) + 115/2 sin(28 t + 9/2) + 128 sin(29 t + 59/13) + 39/4 sin(30 t + 29/8) + 779/10 sin(31 t + 10/7) + 178/3 sin(32 t + 7/6) + 490/9 sin(33 t + 11/9) + 433/9 sin(34 t + 7/5) + 121/8 sin(35 t + 32/7) + 99/5 sin(36 t + 17/4) + 53/7 sin(37 t + 26/7) + 379/7 sin(38 t + 9/2) + 177/7 sin(39 t + 9/2) + 14/9 sin(40 t + 16/5) + 264/5 sin(41 t + 32/7) + 94/7 sin(42 t + 12/7) + 43/4 sin(43 t + 13/3) + 93/7 sin(44 t + 41/9) + 117/5 sin(45 t + 3/2) + 127/8 sin(46 t + 37/8) + 139/9 sin(47 t + 4/3) + 17/6 sin(48 t + 2/3) + 69/10 sin(49 t + 8/7) + 11/3 sin(50 t + 3/8) + 61/10 sin(51 t + 19/13) + 55/9 sin(52 t + 4/3) + 16/11 sin(53 t + 55/14) + 11/3 sin(54 t + 16/11) + 73/8 sin(56 t + 3/2) + 77/9 sin(57 t + 37/8) + 26/5 sin(58 t + 4) + 16/5 sin(59 t + 48/11) + 61/30 sin(60 t + 7/5) + 3/2 sin(62 t + 9/4) + 68/15 sin(63 t + 38/9) + 31/6 sin(64 t + 4) + 5/2 sin(65 t + 48/11) + 5/8 sin(66 t + 10/7) + 82/15 sin(67 t + 41/9) + 4/9 sin(68 t + 7/8) + 27/7 sin(69 t + 59/13) + 38/13 sin(70 t + 25/6) + 11/4 sin(71 t + 37/9) + 35/9 sin(72 t + 19/5) + 11/4 sin(73 t + 21/5) + 136/45 sin(74 t + 35/8) + 11/10 sin(75 t + 5/4) + 31/9 sin(76 t + 33/7) + 9/4 sin(77 t + 9/7) + 15/7 sin(78 t + 4/7) + 37/12 sin(79 t + 31/7) + 31/6 sin(80 t + 11/9) + 22/7 sin(81 t + 33/17) + 82/11 sin(82 t + 35/8) + 19/8 sin(83 t + 7/5) + 52/9 sin(85 t + 11/10) + 16/5 sin(86 t + 33/8) + 25/3 sin(87 t + 30/7) + 17/4 sin(88 t + 27/13) + 82/15 sin(89 t + 58/13) + 43/6 sin(90 t + 8/7) + 3/5 sin(92 t + 17/5) + 3 sin(93 t + 29/7) + 17/6 sin(94 t + 26/7) + 37/19 sin(95 t + 37/9) + 17/5 sin(96 t + 35/8) + 17/5 sin(97 t + 13/9) + 19/6 sin(99 t + 6/5) + 13/8 sin(100 t + 3/4) + 17/8 sin(101 t + 14/9) + 28/11 sin(102 t + 17/4) + 11/9 sin(103 t + 16/5) + 10/7 sin(104 t + 23/6) + 17/5 sin(105 t + 29/7) + sin(106 t + 11/6) + 3/10 sin(107 t + 7/6) + sin(108 t + 20/13) + 11/4 sin(109 t + 14/13) + 7/3 sin(110 t + 12/11) + 31/7 sin(111 t + 3/4) + 23/5 sin(112 t + 8/9) + sin(113 t + 1/2) + 9/5 sin(114 t + 6/7) + 5/8 sin(115 t + 3/2) + 7/6 sin(116 t + 47/46) + 9/7 sin(118 t + 13/6) + 9/7 sin(119 t + 30/7) + 23/6 sin(120 t + 73/18) + 4313/5) θ(155 π - t) θ(t - 151 π) + (-19/8 sin(11/7 - 4 t) - 32/5 sin(11/7 - 3 t) - 83/7 sin(11/7 - 2 t) - 697/10 sin(11/7 - t) - 21978/31) θ(151 π - t) θ(t - 147 π) + (-5/6 sin(11/7 - 4 t) - 57/10 sin(11/7 - 3 t) - 12/7 sin(11/7 - 2 t) - 532/9 sin(11/7 - t) - 12079/16) θ(147 π - t) θ(t - 143 π) + (-2/7 sin(7/5 - 49 t) - 7/8 sin(10/7 - 45 t) - 39/20 sin(3/2 - 43 t) - 40/11 sin(23/15 - 41 t) - 46/13 sin(17/11 - 39 t) - 81/20 sin(17/11 - 37 t) - 11/4 sin(3/2 - 35 t) - 11/8 sin(3/2 - 31 t) - 96/19 sin(14/9 - 26 t) - 41/7 sin(14/9 - 24 t) - 164/11 sin(11/7 - 8 t) - 541/6 sin(11/7 - 4 t) - 7791/10 sin(11/7 - 2 t) + 8001/25 sin(t + 11/7) + 565/6 sin(3 t + 33/7) + 782/27 sin(5 t + 33/7) + 279/5 sin(6 t + 33/7) + 41/4 sin(7 t + 8/5) + 109/6 sin(9 t + 33/7) + 4/5 sin(10 t + 48/11) + 63/4 sin(11 t + 33/7) + 51/8 sin(12 t + 37/8) + 115/11 sin(13 t + 47/10) + 16/3 sin(14 t + 14/3) + 47/10 sin(15 t + 8/5) + 53/10 sin(16 t + 33/7) + 13/5 sin(17 t + 5/3) + 23/3 sin(18 t + 47/10) + 7/6 sin(19 t + 32/7) + 23/11 sin(20 t + 33/7) + 4/3 sin(21 t + 59/13) + 8/7 sin(22 t + 14/3) + 35/8 sin(23 t + 8/5) + 29/8 sin(25 t + 13/8) + 12/5 sin(27 t + 11/7) + 1/6 sin(28 t + 12/7) + 17/7 sin(29 t + 47/10) + 20/9 sin(30 t + 13/8) + 3/2 sin(32 t + 13/8) + 13/6 sin(33 t + 33/7) + 4/11 sin(34 t + 8/5) + 37/10 sin(36 t + 8/5) + 23/7 sin(38 t + 13/8) + 21/5 sin(40 t + 8/5) + 23/10 sin(42 t + 13/8) + 17/11 sin(44 t + 8/5) + 1/9 sin(46 t + 37/11) + 13/10 sin(47 t + 14/3) + 7/5 sin(48 t + 8/5) + 5/7 sin(50 t + 8/5) + 7/8 sin(51 t + 14/3) + 2528/5) θ(143 π - t) θ(t - 139 π) + (-817/7 sin(11/7 - t) + 6/5 sin(2 t + 37/8) + 53/5 sin(3 t + 33/7) - 521/6) θ(139 π - t) θ(t - 135 π) + (-127/11 sin(11/7 - 2 t) + 44/3 sin(t + 11/7) + 206/5 sin(3 t + 11/7) + 84/5 sin(4 t + 11/7) - 3983/3) θ(135 π - t) θ(t - 131 π) + (-106/9 sin(11/7 - 3 t) - 287/9 sin(11/7 - t) + 7/6 sin(2 t + 8/5) + 29/7 sin(4 t + 11/7) - 8683/7) θ(131 π - t) θ(t - 127 π) + (1945/9 sin(t + 33/7) + 193/10 sin(2 t + 8/5) + 164/7 sin(3 t + 33/7) + 32/7 sin(4 t + 8/5) - 7269/7) θ(127 π - t) θ(t - 123 π) + (-295/42 sin(10/7 - 23 t) - 16/7 sin(9/7 - 22 t) - 31/8 sin(14/9 - 19 t) - 46/7 sin(10/7 - 17 t) - 21/4 sin(11/8 - 16 t) - 26/7 sin(10/7 - 15 t) - 14/5 sin(4/3 - 10 t) - 38/7 sin(4/3 - 9 t) - 131/5 sin(3/2 - 8 t) - 91/5 sin(3/2 - 7 t) - 43/8 sin(13/9 - 6 t) - 107/12 sin(14/9 - 4 t) - 41/5 sin(23/15 - 3 t) - 48/5 sin(3/2 - 2 t) - 935/8 sin(11/7 - t) + 7/6 sin(5 t + 7/5) + 1/2 sin(11 t + 2) + 33/7 sin(12 t + 19/11) + 5/4 sin(13 t + 21/5) + 50/7 sin(14 t + 8/5) + 10/9 sin(18 t + 7/6) + 1/30 sin(20 t + 19/5) + 35/12 sin(21 t + 17/11) + 1858/5) θ(123 π - t) θ(t - 119 π) + (-85/19 sin(11/7 - 23 t) - 27/8 sin(11/7 - 21 t) - 29/5 sin(14/9 - 19 t) - 15/7 sin(3/2 - 17 t) - sin(20/13 - 6 t) + 1973/10 sin(t + 11/7) + 71/8 sin(2 t + 20/13) + 119/5 sin(3 t + 11/7) + 38/37 sin(4 t + 13/10) + 77/13 sin(5 t + 14/9) + 91/15 sin(7 t + 11/7) + 10/9 sin(8 t + 7/5) + 14/3 sin(9 t + 11/7) + 55/6 sin(10 t + 14/3) + 77/6 sin(11 t + 14/3) + 47/10 sin(12 t + 32/7) + 123/7 sin(13 t + 47/10) + 107/5 sin(14 t + 33/7) + 55/3 sin(15 t + 8/5) + 28/5 sin(16 t + 14/9) + 11/6 sin(18 t + 14/9) + 64/13 sin(20 t + 13/8) + 22/15 sin(22 t + 13/8) + 8/9 sin(24 t + 5/3) - 2704/53) θ(119 π - t) θ(t - 115 π) + (-5/2 sin(14/9 - 31 t) - 136/27 sin(11/7 - 27 t) - 16/11 sin(10/7 - 23 t) - 4 sin(14/9 - 21 t) - 153/5 sin(11/7 - 8 t) - 43/5 sin(14/9 - 2 t) + 1369/8 sin(t + 11/7) + 1086/31 sin(3 t + 11/7) + 1/2 sin(4 t + 7/5) + 47/9 sin(5 t + 11/7) + 8 sin(6 t + 14/9) + 25/3 sin(7 t + 11/7) + 27/8 sin(9 t + 3/2) + 598/9 sin(10 t + 11/7) + 125/9 sin(11 t + 14/9) + 210/11 sin(12 t + 33/7) + 29/9 sin(13 t + 14/3) + 88/5 sin(14 t + 47/10) + 11/8 sin(15 t + 12/7) + 37/8 sin(16 t + 14/3) + 3/7 sin(17 t + 23/11) + 1/4 sin(18 t + 9/5) + 97/10 sin(19 t + 33/7) + 77/10 sin(20 t + 11/7) + 53/10 sin(22 t + 11/7) + 50/9 sin(24 t + 11/7) + 13/8 sin(25 t + 7/5) + 5/2 sin(26 t + 8/5) + 27/8 sin(28 t + 8/5) + 25/6 sin(29 t + 47/10) + 18/7 sin(30 t + 8/5) + 19/10 sin(32 t + 37/8) + 3417/10) θ(115 π - t) θ(t - 111 π) + (-223/14 sin(11/7 - 3 t) - 1303/9 sin(11/7 - t) + 1/3 sin(2 t + 24/23) + 1/6 sin(4 t + 5/8) - 1801/3) θ(111 π - t) θ(t - 107 π) + (82 sin(t + 11/7) + 37/6 sin(2 t + 11/7) + 8 sin(3 t + 11/7) + 3/5 sin(4 t + 11/7) + 13/4 sin(5 t + 11/7) - 13722/13) θ(107 π - t) θ(t - 103 π) + (215/3 sin(t + 11/7) + 112/5 sin(2 t + 11/7) + 29/4 sin(3 t + 11/7) - 11363/10) θ(103 π - t) θ(t - 99 π) + (-194/3 sin(11/7 - t) + 390/7 sin(2 t + 11/7) + 27/5 sin(3 t + 47/10) + 253/18 sin(4 t + 11/7) + 67/22 sin(5 t + 33/7) + 21/4 sin(6 t + 11/7) + 4/5 sin(7 t + 23/5) + 7/4 sin(8 t + 11/7) + 1/11 sin(9 t + 23/10) + 11/4 sin(10 t + 8/5) + 8/9 sin(11 t + 5/3) + 77/38 sin(12 t + 8/5) - 10118/9) θ(99 π - t) θ(t - 95 π) + (-35/9 sin(11/7 - 21 t) - 9/4 sin(11/7 - 18 t) - 21/5 sin(14/9 - 17 t) - 5/9 sin(22/15 - 16 t) - 52/5 sin(14/9 - 9 t) - 241/7 sin(11/7 - 5 t) - 185/3 sin(11/7 - 4 t) - 1791/14 sin(11/7 - 2 t) + 707/8 sin(t + 11/7) + 39/11 sin(3 t + 3/2) + 1592/27 sin(6 t + 11/7) + 51/2 sin(7 t + 8/5) + 20/7 sin(8 t + 8/5) + 67/4 sin(10 t + 8/5) + 9/5 sin(11 t + 23/5) + 83/15 sin(12 t + 8/5) + 27/5 sin(13 t + 11/7) + 23/4 sin(14 t + 8/5) + 1/5 sin(15 t + 43/10) + 18/7 sin(19 t + 11/7) + 6/5 sin(20 t + 3/2) - 1589/10) θ(95 π - t) θ(t - 91 π) + (-4/3 sin(3/2 - 17 t) - 29/28 sin(14/9 - 15 t) - 11/9 sin(19/13 - 14 t) - 19/8 sin(11/7 - 13 t) - 26/9 sin(14/9 - 11 t) - 25/8 sin(3/2 - 10 t) - 3 sin(14/9 - 9 t) - 8/15 sin(11/8 - 8 t) - 101/10 sin(14/9 - 7 t) - 3/8 sin(10/7 - 4 t) - 345/13 sin(11/7 - 3 t) + 433/11 sin(t + 11/7) + 914/9 sin(2 t + 11/7) + 17/10 sin(5 t + 13/8) + 5/6 sin(6 t + 11/7) + 3/4 sin(12 t + 17/11) + 1/13 sin(16 t + 8/7) - 7481/17) θ(91 π - t) θ(t - 87 π) + (-25/6 sin(11/7 - t) + 125/6 sin(2 t + 11/7) + 50) θ(87 π - t) θ(t - 83 π) + (-1/35 sin(11/8 - 12 t) - 49/11 sin(11/7 - 5 t) - 3/5 sin(17/11 - 4 t) - 247/9 sin(11/7 - t) + 92/7 sin(2 t + 11/7) + 1/3 sin(3 t + 23/5) + 97/7 sin(6 t + 8/5) + 27/5 sin(7 t + 8/5) + 29/9 sin(8 t + 8/5) + 5/6 sin(9 t + 5/3) + 4/5 sin(10 t + 13/8) + 37/12 sin(11 t + 8/5) + 5/3) θ(83 π - t) θ(t - 79 π) + (-2/7 sin(11/7 - 11 t) - 3/4 sin(11/7 - 10 t) - 1/49 sin(6/5 - 9 t) - 7/4 sin(11/7 - 8 t) - 5/6 sin(11/7 - 7 t) - 54/7 sin(11/7 - 4 t) - 77/3 sin(11/7 - 2 t) - 260/9 sin(11/7 - t) + 1/5 sin(3 t + 5/3) + 17/11 sin(5 t + 33/7) + 19/6 sin(6 t + 33/7) + 3/10 sin(12 t + 33/7) + 2395/21) θ(79 π - t) θ(t - 75 π) + (-4/5 sin(4/3 - 29 t) - 5/8 sin(1/5 - 27 t) - 9/8 sin(1/14 - 24 t) - 3/7 sin(17/11 - 23 t) - 12/7 sin(1/2 - 18 t) - 13/8 sin(2/9 - 17 t) - 19/6 sin(26/27 - 9 t) - 13/4 sin(1 - 8 t) + 3/10 sin(16 t) + 45/2 sin(t + 23/5) + 242/3 sin(2 t + 13/8) + 87/8 sin(3 t + 18/7) + 410/7 sin(4 t + 12/7) + 33/5 sin(5 t + 95/24) + 199/7 sin(6 t + 13/7) + 183/23 sin(7 t + 11/5) + 13/14 sin(10 t + 5/4) + 17/7 sin(11 t + 16/5) + 7 sin(12 t + 45/23) + 11/3 sin(13 t + 14/3) + 34/5 sin(14 t + 13/6) + 41/9 sin(15 t + 17/6) + 7/6 sin(19 t + 46/15) + 25/9 sin(20 t + 13/5) + 9/8 sin(21 t + 32/7) + 13/8 sin(22 t + 12/5) + 19/9 sin(25 t + 46/15) + 21/22 sin(26 t + 7/2) + 4/5 sin(28 t + 28/11) + 4/5 sin(30 t + 10/7) - 1836/7) θ(75 π - t) θ(t - 71 π) + (-7/2 sin(11/7 - 5 t) - 66/7 sin(11/7 - 3 t) - 67 sin(11/7 - t) + 40/11 sin(2 t + 11/7) + 1/5 sin(4 t + 5/3) - 1334/3) θ(71 π - t) θ(t - 67 π) + (-31/5 sin(11/7 - 3 t) + 142/9 sin(t + 11/7) + 732/5 sin(2 t + 11/7) + 8/7 sin(4 t + 11/7) + 24/7 sin(5 t + 11/7) + 66/5 sin(6 t + 11/7) + 3/2 sin(7 t + 33/7) + 17/5 sin(8 t + 11/7) + 4/5 sin(9 t + 8/5) + 32/9 sin(10 t + 11/7) + 14/13 sin(11 t + 33/7) - 551) θ(67 π - t) θ(t - 63 π) + (-29/8 sin(3/2 - 12 t) - 19/4 sin(19/13 - 10 t) - 35/4 sin(3/2 - 9 t) - 1/3 sin(2/5 - 8 t) - 31/2 sin(17/11 - 6 t) - 121/7 sin(14/9 - 4 t) - 132/19 sin(20/13 - 2 t) - 306/7 sin(11/7 - t) + 9/8 sin(3 t + 9/7) + 4 sin(5 t + 10/7) + 90/13 sin(7 t + 14/9) + 49/11 sin(11 t + 11/7) + 1187/8) θ(63 π - t) θ(t - 59 π) + (-16/7 sin(14/9 - 6 t) - 97/13 sin(11/7 - 5 t) - 596/17 sin(11/7 - 3 t) - 64 sin(11/7 - t) + 146/5 sin(2 t + 11/7) + 43/10 sin(4 t + 11/7) + 1837/8) θ(59 π - t) θ(t - 55 π) + (-49/10 sin(11/7 - 3 t) - 548/7 sin(11/7 - t) + 109/10 sin(2 t + 11/7) + 51/13 sin(4 t + 11/7) + 11/12 sin(5 t + 47/10) + 1439/5) θ(55 π - t) θ(t - 51 π) + (-55/27 sin(11/7 - 38 t) - 54/11 sin(3/2 - 26 t) - 19/18 sin(4/3 - 19 t) - 37/4 sin(20/13 - 17 t) + 387/8 sin(t + 33/7) + 68/9 sin(2 t + 47/10) + 27/4 sin(3 t + 33/7) + 41/21 sin(4 t + 47/10) + 16/15 sin(5 t + 11/7) + 37/11 sin(6 t + 11/7) + 13/5 sin(7 t + 20/13) + 46/7 sin(8 t + 11/7) + 69/14 sin(9 t + 23/15) + 75/7 sin(10 t + 14/9) + 113/11 sin(11 t + 14/9) + 3/8 sin(12 t + 5/9) + 93/11 sin(13 t + 11/7) + 5/7 sin(14 t + 4/3) + 21/10 sin(15 t + 19/13) + 86/9 sin(16 t + 11/7) + 222/17 sin(18 t + 11/7) + 1/5 sin(20 t + 17/9) + 17/6 sin(21 t + 13/8) + 58/5 sin(22 t + 33/7) + 23/7 sin(23 t + 14/3) + 31/7 sin(24 t + 20/13) + 85/9 sin(25 t + 11/7) + 45/13 sin(27 t + 8/5) + 3/8 sin(28 t + 10/11) + 14/5 sin(29 t + 8/5) + 4 sin(30 t + 33/7) + 1/3 sin(31 t + 13/6) + 15/7 sin(32 t + 14/3) + 55/28 sin(33 t + 23/5) + 5/2 sin(34 t + 37/8) + 3/4 sin(35 t + 31/7) + 9/7 sin(36 t + 14/3) + sin(37 t + 5/3) + 2239/9) θ(51 π - t) θ(t - 47 π) + (-7/5 sin(22/15 - 37 t) - 13/9 sin(10/7 - 31 t) - 15/8 sin(22/15 - 30 t) - 37/10 sin(3/2 - 29 t) - 45/13 sin(10/7 - 28 t) - 19/7 sin(13/9 - 27 t) - 14/11 sin(11/8 - 26 t) - 68/15 sin(16/11 - 25 t) - 17/4 sin(22/15 - 24 t) - 103/13 sin(3/2 - 23 t) - 97/13 sin(3/2 - 22 t) - 13/5 sin(23/15 - 18 t) - 27/8 sin(20/13 - 15 t) - 13/3 sin(17/11 - 14 t) - 9/8 sin(3/2 - 13 t) - 27/28 sin(3/2 - 12 t) - 59/9 sin(14/9 - 8 t) - 12/7 sin(3/2 - 7 t) - 53/5 sin(11/7 - 4 t) - 269/7 sin(11/7 - 2 t) + 198/5 sin(t + 11/7) + 79/6 sin(3 t + 11/7) + 11/8 sin(5 t + 3/2) + 16/9 sin(6 t + 8/5) + 43/9 sin(9 t + 8/5) + 32/9 sin(10 t + 8/5) + 74/25 sin(11 t + 8/5) + 16/9 sin(16 t + 18/11) + 3/2 sin(17 t + 5/3) + 23/8 sin(19 t + 8/5) + 109/11 sin(20 t + 13/8) + 12/7 sin(21 t + 8/5) + 1/8 sin(32 t + 7/8) + 24/23 sin(33 t + 5/3) + 5/9 sin(34 t + 8/5) + 1/4 sin(35 t + 41/9) + 3/5 sin(36 t + 12/7) + 1199/4) θ(47 π - t) θ(t - 43 π) + (-1/10 sin(10/7 - 28 t) - 15/14 sin(14/9 - 21 t) - 7/3 sin(17/11 - 18 t) - 7/4 sin(20/13 - 12 t) - 114/7 sin(11/7 - 9 t) + 95/6 sin(t + 33/7) + 7/8 sin(2 t + 47/10) + 13/6 sin(3 t + 14/9) + 52/7 sin(4 t + 11/7) + 48/7 sin(5 t + 11/7) + 72/7 sin(6 t + 11/7) + 33/17 sin(7 t + 14/9) + 17/3 sin(8 t + 8/5) + 52/7 sin(10 t + 11/7) + 58/9 sin(11 t + 11/7) + 3/5 sin(13 t + 14/3) + 7/11 sin(14 t + 14/3) + 19/13 sin(15 t + 14/9) + 1/4 sin(16 t + 3/2) + 5/3 sin(17 t + 8/5) + 19/13 sin(19 t + 11/7) + 12/7 sin(20 t + 11/7) + 1/9 sin(22 t + 8/5) + 3/11 sin(23 t + 14/9) + 3/8 sin(24 t + 17/11) + 1/6 sin(25 t + 10/7) + 4/11 sin(26 t + 8/5) + 1/12 sin(27 t + 4/3) + 2/5 sin(29 t + 11/7) + 1/12 sin(30 t + 15/11) - 4015/6) θ(43 π - t) θ(t - 39 π) + (-19/8 sin(10/7 - 21 t) - 29/8 sin(3/2 - 17 t) - 69/35 sin(7/5 - 16 t) - 1/8 sin(1 - 15 t) - 35/6 sin(3/2 - 11 t) - 53/10 sin(23/15 - 10 t) - 28/5 sin(11/7 - 8 t) - 8/3 sin(3/2 - 7 t) - 97/7 sin(14/9 - 5 t) - 104/19 sin(23/15 - 4 t) + 124/7 sin(t + 11/7) + 43/2 sin(2 t + 8/5) + 17/4 sin(3 t + 8/5) + 11/9 sin(6 t + 11/7) + 9 sin(9 t + 13/8) + 3/8 sin(12 t + 23/15) + 12/7 sin(13 t + 16/9) + 4/7 sin(14 t + 23/5) + 49/10 sin(18 t + 5/3) + 33/16 sin(19 t + 47/10) + 2/9 sin(20 t + 1/14) + 8/5 sin(22 t + 12/7) - 3479/6) θ(39 π - t) θ(t - 35 π) + (-3/7 sin(6/11 - 10 t) - 5/8 sin(1/11 - 8 t) + 1/12 sin(12 t) + 67/33 sin(t + 18/11) + 37/10 sin(2 t + 39/11) + 17/11 sin(3 t + 16/9) + 43/9 sin(4 t + 28/9) + 11/5 sin(5 t + 20/7) + 23/8 sin(6 t + 1/7) + 7/8 sin(7 t + 79/20) + 4/11 sin(9 t + 16/11) + 4/11 sin(11 t + 5/2) + 1216/7) θ(35 π - t) θ(t - 31 π) + (-2/9 sin(17/16 - 12 t) - 3/7 sin(17/11 - 10 t) - 2/7 sin(3/5 - 8 t) - 6/5 sin(4/5 - 6 t) - 30/7 sin(5/7 - 4 t) - 25/4 sin(2/7 - 3 t) + 7/2 sin(t + 7/4) + 26/5 sin(2 t + 52/15) + 4/5 sin(5 t + 27/10) + 2/3 sin(7 t + 29/11) + 4/7 sin(9 t + 13/6) + 2/7 sin(11 t + 5/2) + 454/5) θ(31 π - t) θ(t - 27 π) + (2099/12 - 266/13 sin(1/3 - t)) θ(27 π - t) θ(t - 23 π) + (761/9 - 178/7 sin(6/11 - t)) θ(23 π - t) θ(t - 19 π) + (-1/2 sin(3/8 - 11 t) - 5/9 sin(1/6 - 9 t) - 5/8 sin(1/5 - 7 t) - 3 sin(3/7 - 3 t) - 319/13 sin(2/7 - t) + 5/6 sin(2 t + 55/18) + 2/7 sin(4 t + 33/10) + 4/3 sin(5 t + 1/5) + 7/8 sin(6 t + 29/8) + 4/7 sin(8 t + 20/7) + 1/6 sin(10 t + 22/5) + 1/3 sin(12 t + 34/9) + 337/4) θ(19 π - t) θ(t - 15 π) + (-1/16 sin(5/7 - 12 t) - 1/13 sin(9/7 - 10 t) - 1/3 sin(4/9 - 9 t) - 10/9 sin(1/9 - 7 t) - 6/5 sin(1/2 - 5 t) - 185/9 sin(4/9 - t) + 114/23 sin(2 t + 43/10) + 9/7 sin(3 t + 14/3) + 19/8 sin(4 t + 13/3) + 3/2 sin(6 t + 32/7) + 2/3 sin(8 t + 63/16) + 7/13 sin(11 t + 3/10) + 4419/26) θ(15 π - t) θ(t - 11 π) + (-65/11 sin(7/9 - 5 t) + 496/5 sin(t + 49/16) + 95/8 sin(2 t + 15/14) + 69/10 sin(3 t + 3) + 57/14 sin(4 t + 31/7) + 11/12 sin(6 t + 37/8) + 16/15 sin(7 t + 23/10) + 5/6 sin(8 t + 32/9) + 2/3 sin(9 t + 19/7) + 11/7 sin(10 t + 70/23) + 8/9 sin(11 t + 40/9) + 1/5 sin(12 t + 23/7) - 608) θ(11 π - t) θ(t - 7 π) + (-2/3 sin(41/40 - 10 t) - 15/8 sin(10/7 - 9 t) - 5 sin(4/3 - 5 t) - 69/8 sin(5/7 - 3 t) + 727/4 sin(t + 94/31) + 23/8 sin(2 t + 22/9) + 38/7 sin(4 t + 40/11) + 7/3 sin(6 t + 13/10) + 16/17 sin(7 t + 30/7) + 9/7 sin(8 t + 46/15) + sin(11 t + 37/9) + 11/9 sin(12 t + 9/4) - 5780/9) θ(7 π - t) θ(t - 3 π) + (-137/7 sin(16/15 - 7 t) - 180/7 sin(8/7 - 4 t) + 2590/3 sin(t + 23/9) + 2399/15 sin(2 t + 1) + 207/2 sin(3 t + 27/7) + 515/7 sin(5 t + 11/7) + 894/19 sin(6 t + 10/3) + 67/2 sin(8 t + 19/20) + 32/11 sin(9 t + 48/11) + 68/7 sin(10 t + 1/6) + 125/9 sin(11 t + 4/3) + 35/3 sin(12 t + 71/18) + 44/7 sin(13 t + 68/15) + 4/3 sin(14 t + 19/7) + 45/7 sin(15 t + 10/3) + 32/7 sin(16 t + 26/9) + 31/6 sin(17 t + 7/8) + 16/3 sin(18 t + 25/24) + 24/7 sin(19 t + 5/4) + 7/3 sin(20 t + 1/9) + 41/20 sin(21 t + 14/3) + 39/7 sin(22 t + 161/40) - 3017/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

バラク・オバマ

x(t) = ((-6/7 sin(22/15 - 13 t) - 46/45 sin(11/10 - 10 t) - 13/7 sin(16/11 - 3 t) - 69/10 sin(17/12 - 2 t) + 529/5 sin(t + 11/7) + 4/9 sin(4 t + 38/9) + 32/7 sin(5 t + 10/7) + 4/3 sin(6 t + 13/14) + 25/4 sin(7 t + 16/11) + 9/7 sin(8 t + 10/11) + 43/10 sin(9 t + 17/12) + 3/7 sin(11 t + 22/5) + 4/9 sin(12 t + 20/9) + 81/5) θ(59 π - t) θ(t - 55 π) + (-251/13 sin(11/8 - 3 t) + 4100/11 sin(t + 8/5) + 31/9 sin(2 t + 9/4) + 17/12 sin(4 t + 22/5) + 115/9 sin(5 t + 22/13) + 24/11 sin(6 t + 9/2) + 201/10 sin(7 t + 17/10) + 9/4 sin(8 t + 13/5) + 112/11) θ(55 π - t) θ(t - 51 π) + (507/5 sin(t + 11/7) + 1/5 sin(2 t + 48/11) + 73/10 sin(3 t + 11/7) + 23/10 sin(4 t + 11/7) + 1359/7) θ(51 π - t) θ(t - 47 π) + (680/7 sin(t + 11/7) + 8/13 sin(2 t + 23/15) + 51/8 sin(3 t + 11/7) + 1/52 sin(4 t + 19/7) + 11/5 sin(5 t + 8/5) - 497/3) θ(47 π - t) θ(t - 43 π) + (-4/11 sin(1 - 7 t) - 303/8 sin(11/7 - t) + 85/6 sin(2 t + 14/9) + 9/8 sin(3 t + 19/14) + 126/25 sin(4 t + 23/15) + 13/12 sin(5 t + 21/16) + 12/11 sin(6 t + 19/14) + 2/3 sin(8 t + 10/7) + 2/5 sin(9 t + 29/19) - 2219/13) θ(43 π - t) θ(t - 39 π) + (-3/8 sin(14/9 - 12 t) - 3/7 sin(11/7 - 10 t) - 1/2 sin(14/9 - 8 t) - 52/21 sin(14/9 - 6 t) - 19/6 sin(17/11 - 4 t) - 47/11 sin(11/7 - 3 t) - 132/7 sin(11/7 - 2 t) + 229/6 sin(t + 11/7) + 3/11 sin(5 t + 13/9) + 1/4 sin(7 t + 37/25) + 1/11 sin(9 t + 13/8) + 5/11 sin(11 t + 11/7) + 1/6 sin(13 t + 23/15) + 2209/11) θ(39 π - t) θ(t - 35 π) + (-1/2 sin(14/9 - 4 t) + 1037/8 sin(t + 14/9) + 2/11 sin(2 t + 41/11) + 89/5 sin(3 t + 17/11) + 71/14 sin(5 t + 11/7) + 115/7) θ(35 π - t) θ(t - 31 π) + (-137/69 sin(2/5 - 6 t) + 679/13 sin(t + 8/7) + 355/59 sin(2 t + 60/13) + 70/11 sin(3 t + 16/7) + 19/6 sin(4 t + 5/2) + 49/13 sin(5 t + 20/7) + 9/11 sin(7 t + 173/43) + 7/8 sin(8 t + 19/14) - 3897/10) θ(31 π - t) θ(t - 27 π) + (-7/10 sin(3/8 - 8 t) - 12/11 sin(2/9 - 6 t) - 23/7 sin(3/8 - 2 t) + 1171/8 sin(t + 14/9) + 71/6 sin(3 t + 17/11) + 13/7 sin(4 t + 6/13) + 25/4 sin(5 t + 3/2) + 34/9 sin(7 t + 18/11) + 27/10 sin(9 t + 4/3) + 71/5) θ(27 π - t) θ(t - 23 π) + (-3/2 sin(3/4 - 2 t) + 127/4 sin(t + 10/7) - 3329/21) θ(23 π - t) θ(t - 19 π) + (344/11 sin(t + 37/8) + 24/11 sin(2 t + 23/10) + 1694/9) θ(19 π - t) θ(t - 15 π) + (-1/9 sin(9/19 - 10 t) - 1/7 sin(1/16 - 8 t) - 1/13 sin(4/7 - 6 t) - 11/13 sin(36/37 - 4 t) - 20/9 sin(10/11 - 2 t) + 998/9 sin(t + 9/5) + 77/8 sin(3 t + 7/3) + 20/7 sin(5 t + 36/13) + 4/3 sin(7 t + 13/4) + 11/15 sin(9 t + 60/17) + 1036/5) θ(15 π - t) θ(t - 11 π) + (-6/19 sin(11/8 - 12 t) + 760/7 sin(t + 12/7) + 38/11 sin(2 t + 26/17) + 73/8 sin(3 t + 35/17) + 17/12 sin(4 t + 65/32) + 21/8 sin(5 t + 16/7) + 5/9 sin(6 t + 10/3) + 24/25 sin(7 t + 15/7) + 8/17 sin(8 t + 32/9) + 2/7 sin(9 t + 19/10) + 3/10 sin(10 t + 47/11) + 5/16 sin(11 t + 13/10) - 3010/17) θ(11 π - t) θ(t - 7 π) + (-11/14 sin(1/6 - 8 t) - 12/5 sin(1/5 - 4 t) - 48/7 sin(39/40 - 2 t) + 15/14 sin(7 t) + 959/20 sin(t + 29/9) + 112/11 sin(3 t + 13/8) + 25/9 sin(5 t + 14/9) + 5/11 sin(6 t + 11/17) + 6/7 sin(9 t + 25/6) + 5425/13) θ(7 π - t) θ(t - 3 π) + (-8/17 sin(9/11 - 21 t) - 24/25 sin(3/5 - 20 t) - 3/4 sin(17/16 - 14 t) - 15/7 sin(11/21 - 7 t) - 5/8 sin(31/32 - 6 t) - 63/16 sin(4/5 - 5 t) + 2153/5 sin(t + 19/12) + 230/7 sin(2 t + 33/10) + 69/2 sin(3 t + 61/13) + 32/3 sin(4 t + 37/12) + 20/9 sin(8 t + 31/8) + 36/11 sin(9 t + 12/11) + 9/8 sin(10 t + 23/5) + 24/11 sin(11 t + 32/7) + 25/13 sin(12 t + 29/9) + 8/9 sin(13 t + 35/17) + 9/10 sin(15 t + 2) + 2/11 sin(16 t + 7/8) + 1/2 sin(17 t + 26/7) + 7/12 sin(18 t + 29/10) + 7/5 sin(19 t + 1) + 10/9 sin(22 t + 2) + 4/11 sin(23 t + 2/7) + 3/5 sin(24 t + 5/2) + 322/17) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-22/9 sin(34/23 - 9 t) - 61/9 sin(17/11 - 4 t) + 37/11 sin(t + 65/14) + 41/6 sin(2 t + 14/3) + 8/7 sin(3 t + 15/7) + 18/5 sin(5 t + 7/5) + 91/8 sin(6 t + 25/17) + 16/11 sin(7 t + 5/16) + 79/14 sin(8 t + 25/17) + 3/8 sin(10 t + 18/11) + 2/5 sin(11 t + 57/14) + 1/4 sin(12 t + 27/13) + 5/6 sin(13 t + 22/5) - 2434/7) θ(59 π - t) θ(t - 55 π) + (-30/11 sin(11/10 - 5 t) - 143/3 sin(3/2 - 4 t) - 108/31 sin(1/6 - 3 t) - 1310/9 sin(17/11 - 2 t) + 57/8 sin(t + 9/7) + 25/17 sin(6 t + 25/13) + 3/10 sin(7 t + 31/21) + 23/14 sin(8 t + 51/11) + 635/3) θ(55 π - t) θ(t - 51 π) + (-40/9 sin(11/7 - 4 t) - 49/2 sin(11/7 - 2 t) - 188/17 sin(11/7 - t) + 26/9 sin(3 t + 11/7) - 1143/13) θ(51 π - t) θ(t - 47 π) + (-25/4 sin(11/7 - 4 t) + 93/11 sin(t + 11/7) + 290/11 sin(2 t + 33/7) + 5/6 sin(3 t + 33/7) + 10/11 sin(5 t + 14/9) - 262/3) θ(47 π - t) θ(t - 43 π) + (-3/2 sin(14/9 - 7 t) + 286/3 sin(t + 33/7) + 71/15 sin(2 t + 50/11) + 253/21 sin(3 t + 37/8) + 11/12 sin(4 t + 36/13) + 47/14 sin(5 t + 32/7) + 4/5 sin(6 t + 9/5) + 2/9 sin(8 t + 14/11) + 11/7 sin(9 t + 47/10) - 2032/5) θ(43 π - t) θ(t - 39 π) + (-3/7 sin(35/23 - 13 t) - 3/8 sin(14/9 - 10 t) - 9/7 sin(17/11 - 9 t) - 1/16 sin(5/11 - 8 t) - 35/17 sin(14/9 - 7 t) - 3/7 sin(26/17 - 6 t) - 37/13 sin(11/7 - 5 t) - 109/9 sin(14/9 - 3 t) - 24/5 sin(17/11 - 2 t) - 833/9 sin(11/7 - t) + 4/3 sin(4 t + 14/9) + 11/15 sin(11 t + 33/7) + 1/27 sin(12 t + 7/8) - 3683/9) θ(39 π - t) θ(t - 35 π) + (3/5 sin(t + 35/23) + 22/9 sin(2 t + 14/9) + 23/12 sin(3 t + 61/13) + 37/6 sin(4 t + 14/3) + 12/13 sin(5 t + 14/9) - 1463/3) θ(35 π - t) θ(t - 31 π) + (-148/11 sin(1/15 - 3 t) - 3/7 sin(3/13 - 2 t) - 1356/11 sin(17/18 - t) + 19/6 sin(4 t + 33/16) + 245/61 sin(5 t + 9/11) + 5/6 sin(6 t + 63/16) + 10/7 sin(7 t + 13/8) + 9/8 sin(8 t + 25/9) - 2513/12) θ(31 π - t) θ(t - 27 π) + (-348/7 sin(1/37 - t) + 65/11 sin(2 t + 20/13) + 34/11 sin(3 t + 32/11) + 59/17 sin(4 t + 33/8) + 105/19 sin(5 t + 31/10) + 24/23 sin(6 t + 6/11) + 15/16 sin(7 t + 31/30) + 4/9 sin(8 t + 85/21) + 1/3 sin(9 t + 41/11) - 4459/9) θ(27 π - t) θ(t - 23 π) + (240/11 sin(t + 1/8) + 23/10 sin(2 t + 23/12) - 997/11) θ(23 π - t) θ(t - 19 π) + (-380/17 sin(1/11 - t) + 20/11 sin(2 t + 20/19) - 625/7) θ(19 π - t) θ(t - 15 π) + (-67/15 sin(9/11 - 4 t) - 66/5 sin(8/9 - 2 t) - 360/13 sin(4/13 - t) + 28/5 sin(3 t + 9/13) + 16/5 sin(5 t + 7/6) + 1/2 sin(6 t + 12/13) + 13/9 sin(7 t + 5/3) + 5/8 sin(8 t + 8/7) + 10/9 sin(9 t + 40/17) + 10/19 sin(10 t + 61/20) - 28) θ(15 π - t) θ(t - 11 π) + (-1/15 sin(8/11 - 10 t) - 3/14 sin(3/8 - 8 t) - 49/50 sin(5/11 - 6 t) - 28/9 sin(11/9 - 4 t) - 62/5 sin(6/5 - 2 t) + 169/8 sin(t + 12/25) + 149/15 sin(3 t + 60/59) + 40/17 sin(5 t + 10/9) + 8/5 sin(7 t + 13/10) + 14/11 sin(9 t + 18/11) + 7/11 sin(11 t + 7/5) + 2/5 sin(12 t + 16/9) - 86/3) θ(11 π - t) θ(t - 7 π) + (-9/11 sin(9/14 - 9 t) + 995/8 sin(t + 38/9) + 31/11 sin(2 t + 31/14) + 129/10 sin(3 t + 35/11) + 41/42 sin(4 t + 17/6) + 32/11 sin(5 t + 9/5) + 2/9 sin(6 t + 4/7) + 14/11 sin(7 t + 11/21) + 1/35 sin(8 t + 7/13) - 813/4) θ(7 π - t) θ(t - 3 π) + (-2/3 sin(9/8 - 23 t) - 5/7 sin(1/9 - 20 t) - 4/7 sin(17/11 - 12 t) - 76/9 sin(11/7 - 4 t) - 194/9 sin(1/6 - 3 t) + 16/5 sin(7 t) + 9777/16 sin(t + 22/7) + 234/11 sin(2 t + 9/7) + 7/5 sin(5 t + 77/17) + 59/16 sin(6 t + 85/43) + 4/3 sin(8 t + 121/30) + 7/12 sin(9 t + 5/3) + 5/7 sin(10 t + 6/5) + 19/12 sin(11 t + 13/5) + 16/7 sin(13 t + 1/66) + 5/9 sin(14 t + 43/10) + 8/5 sin(15 t + 32/11) + 40/41 sin(16 t + 9/14) + 51/50 sin(17 t + 4/13) + sin(18 t + 35/8) + 2/3 sin(19 t + 32/9) + 6/11 sin(21 t + 16/5) + 18/19 sin(22 t + 4/5) + 6/7 sin(24 t + 35/11) - 2103/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

ジョニー・デップ（Johnny Depp）

x(t) = ((-10/7 sin(23/15 - 12 t) - 12/7 sin(23/15 - 10 t) - sin(19/13 - 7 t) - 8/15 sin(10/7 - 6 t) - 161/17 sin(3/2 - 3 t) + 3357/10 sin(t + 11/7) + 67/2 sin(2 t + 33/7) + 1/3 sin(4 t + 20/9) + 49/9 sin(5 t + 8/5) + 9/7 sin(8 t + 33/7) + 3/8 sin(9 t + 8/5) + 1/9 sin(11 t + 1/6) + 74/7) θ(91 π - t) θ(t - 87 π) + (-19/8 sin(14/9 - 11 t) - 39/7 sin(11/7 - 6 t) - 223/10 sin(11/7 - 5 t) - 56 sin(11/7 - 4 t) - 329/11 sin(11/7 - 3 t) - 2414/23 sin(11/7 - t) + 313/11 sin(2 t + 11/7) + 159/10 sin(7 t + 11/7) + 9/7 sin(8 t + 33/7) + 71/24 sin(9 t + 11/7) + 9/8 sin(10 t + 8/5) - 10625/21) θ(87 π - t) θ(t - 83 π) + (-1/4 sin(13/11 - 82 t) - 1/5 sin(11/7 - 81 t) - 1/2 sin(13/10 - 77 t) - 10/11 sin(10/7 - 76 t) - 1/4 sin(2/3 - 75 t) - 7/5 sin(10/7 - 74 t) - 5/6 sin(8/7 - 71 t) - 7/10 sin(10/7 - 68 t) - 1/13 sin(5/7 - 67 t) - 29/15 sin(11/8 - 63 t) - 7/4 sin(7/5 - 62 t) - 5/6 sin(8/7 - 61 t) - 8/5 sin(3/2 - 60 t) - 31/16 sin(10/7 - 57 t) - 6/7 sin(10/7 - 56 t) - 8/9 sin(5/4 - 55 t) - 8/7 sin(11/7 - 49 t) - 8/9 sin(20/13 - 47 t) - 7/9 sin(16/11 - 46 t) - 14/5 sin(16/11 - 42 t) - 25/6 sin(4/3 - 41 t) - 37/6 sin(7/5 - 40 t) - 16/5 sin(11/8 - 39 t) - 41/11 sin(4/3 - 33 t) - 93/4 sin(3/2 - 32 t) - 92/7 sin(13/9 - 31 t) - 136/13 sin(3/2 - 29 t) - 85/14 sin(3/2 - 28 t) - 14/5 sin(11/8 - 26 t) - 87/7 sin(11/7 - 25 t) - 55/7 sin(13/9 - 23 t) - 743/31 sin(11/7 - 18 t) - 62/7 sin(10/7 - 17 t) - 122/7 sin(14/9 - 14 t) - 199/8 sin(11/7 - 5 t) - 37/12 sin(23/15 - 4 t) + 29/5 sin(t + 17/11) + 36/5 sin(2 t + 5/3) + 299/7 sin(3 t + 11/7) + 37/8 sin(6 t + 13/9) + 7/5 sin(7 t + 31/7) + 143/10 sin(8 t + 8/5) + 9/5 sin(9 t + 13/8) + 6/5 sin(10 t + 15/7) + 7/8 sin(11 t + 1/34) + 59/4 sin(12 t + 33/7) + 67/4 sin(13 t + 11/7) + 85/9 sin(15 t + 18/11) + 86/7 sin(16 t + 18/11) + 205/7 sin(19 t + 11/7) + 87/4 sin(20 t + 14/3) + 76/3 sin(21 t + 11/7) + 103/8 sin(22 t + 33/7) + 53/6 sin(24 t + 8/5) + 18/11 sin(27 t + 17/4) + 22/5 sin(30 t + 33/7) + 7/4 sin(34 t + 68/15) + 89/30 sin(35 t + 18/11) + 15/8 sin(36 t + 25/13) + 128/11 sin(37 t + 12/7) + 39/5 sin(38 t + 12/7) + 11/4 sin(43 t + 7/4) + 17/7 sin(44 t + 51/26) + 23/12 sin(45 t + 17/10) + 1/8 sin(48 t + 25/26) + 13/14 sin(50 t + 13/7) + 15/11 sin(51 t + 3/2) + 21/11 sin(52 t + 33/7) + 33/13 sin(53 t + 13/8) + 16/9 sin(54 t + 14/3) + 2/9 sin(58 t + 51/11) + 19/13 sin(59 t + 13/7) + 1/3 sin(64 t + 7/4) + 3/7 sin(65 t + 23/11) + 2/3 sin(66 t + 17/10) + 12/5 sin(69 t + 7/4) + 27/28 sin(70 t + 21/10) + 7/8 sin(72 t + 14/3) + 21/11 sin(73 t + 5/3) + 2/5 sin(78 t + 23/12) + 1/3 sin(79 t + 17/7) + 1/9 sin(80 t + 9/8) + 2197/6) θ(83 π - t) θ(t - 79 π) + (-1/5 sin(11/9 - 74 t) - 4/3 sin(13/9 - 73 t) - 5/6 sin(11/7 - 69 t) - 1/6 sin(2/3 - 67 t) - 1/8 sin(4/3 - 64 t) - 20/13 sin(10/7 - 61 t) - 7/9 sin(3/2 - 58 t) - 22/7 sin(17/11 - 56 t) - 49/8 sin(23/15 - 53 t) - 5/8 sin(9/7 - 52 t) - 26/25 sin(14/9 - 43 t) - 8/5 sin(3/2 - 42 t) - 36/7 sin(26/17 - 38 t) - 31/10 sin(3/2 - 35 t) - 131/8 sin(14/9 - 32 t) - 17/2 sin(23/15 - 30 t) - 107/11 sin(20/13 - 29 t) - 51/4 sin(17/11 - 23 t) - 21/11 sin(11/7 - 22 t) - 149/9 sin(14/9 - 18 t) - 25/7 sin(11/7 - 15 t) - 96/11 sin(14/9 - 13 t) - 90/7 sin(11/7 - 11 t) - 410/13 sin(11/7 - 10 t) - 3/8 sin(22/15 - 5 t) - 271/11 sin(11/7 - 4 t) - 3077/38 sin(11/7 - t) + 153/11 sin(2 t + 33/7) + 52/7 sin(3 t + 11/7) + 131/10 sin(6 t + 11/7) + 33/8 sin(7 t + 47/10) + 174/7 sin(8 t + 11/7) + 219/22 sin(9 t + 11/7) + 449/30 sin(12 t + 11/7) + 2/3 sin(14 t + 31/7) + 31/7 sin(16 t + 17/11) + 2/7 sin(17 t + 2/3) + 47/5 sin(19 t + 8/5) + 133/6 sin(20 t + 8/5) + 145/8 sin(21 t + 8/5) + 659/47 sin(24 t + 11/7) + 130/9 sin(25 t + 8/5) + 11 sin(26 t + 8/5) + 29/9 sin(27 t + 8/5) + 59/9 sin(28 t + 11/7) + 38/3 sin(31 t + 11/7) + sin(33 t + 51/11) + 8 sin(34 t + 8/5) + 16/15 sin(36 t + 17/10) + 8/5 sin(37 t + 14/3) + 53/10 sin(39 t + 8/5) + 11/6 sin(40 t + 61/13) + 6/5 sin(41 t + 15/11) + 9/7 sin(44 t + 10/7) + 27/13 sin(45 t + 5/3) + 29/7 sin(46 t + 13/8) + 13/12 sin(47 t + 17/11) + 17/4 sin(48 t + 13/8) + 8/9 sin(49 t + 5/3) + 17/10 sin(50 t + 11/7) + 95/24 sin(51 t + 8/5) + 2/9 sin(54 t + 10/7) + 27/14 sin(55 t + 3/2) + 12/5 sin(57 t + 18/11) + 5/6 sin(59 t + 13/8) + 2/3 sin(60 t + 8/5) + 2/3 sin(62 t + 11/7) + 35/18 sin(63 t + 13/8) + 8/3 sin(65 t + 8/5) + 1/10 sin(66 t + 2) + 17/9 sin(68 t + 13/8) + 9/7 sin(70 t + 11/7) + 7/5 sin(71 t + 13/8) + 8/5 sin(72 t + 11/7) + 1/3 sin(75 t + 7/5) + 4/5 sin(76 t + 11/7) - 1137/2) θ(79 π - t) θ(t - 75 π) + (857/9 sin(t + 11/7) + 1/2 sin(2 t + 23/5) + 97/9 sin(3 t + 11/7) + 3/4 sin(4 t + 5/3) + 185/46 sin(5 t + 11/7) + 540/13) θ(75 π - t) θ(t - 71 π) + (-15/7 sin(11/7 - 5 t) - 15 sin(11/7 - t) + 37/10 sin(2 t + 11/7) + 4/7 sin(3 t + 33/7) + 3/7 sin(6 t + 11/7) + 2690/11) θ(71 π - t) θ(t - 67 π) + (278/9 sin(t + 11/7) + 17/10 sin(2 t + 47/10) + 4 sin(3 t + 11/7) + 9/13 sin(4 t + 47/10) - 1687/6) θ(67 π - t) θ(t - 63 π) + (-106/9 sin(14/9 - 12 t) - 29/6 sin(17/11 - 6 t) - 149/7 sin(14/9 - 4 t) - 187/6 sin(14/9 - 3 t) - 773/17 sin(11/7 - 2 t) + 562/7 sin(t + 11/7) + 75/11 sin(5 t + 14/9) + 62/5 sin(7 t + 8/5) + 55/6 sin(8 t + 47/10) + 32/9 sin(9 t + 8/5) + 56/11 sin(10 t + 11/7) + 2/7 sin(11 t + 13/12) - 437/9) θ(63 π - t) θ(t - 59 π) + (-2/9 sin(7/10 - 49 t) - 4/7 sin(1/7 - 45 t) - 2/3 sin(1/28 - 37 t) - 5/16 sin(3/8 - 35 t) - 4/7 sin(1/6 - 29 t) - 16/9 sin(4/3 - 26 t) - 3/4 sin(3/2 - 24 t) - 15/8 sin(1/9 - 15 t) - 18/11 sin(7/10 - 12 t) - 164/7 sin(26/25 - 2 t) + 1605/13 sin(t + 5/7) + 47/4 sin(3 t + 7/9) + 61/12 sin(4 t + 27/7) + 67/8 sin(5 t + 19/8) + 10 sin(6 t + 68/15) + 241/24 sin(7 t + 6/11) + 29/9 sin(8 t + 5/2) + 22/7 sin(9 t + 13/6) + 17/16 sin(10 t + 33/8) + 5/11 sin(11 t + 26/7) + 57/14 sin(13 t + 11/10) + 17/8 sin(14 t + 19/5) + 7/6 sin(16 t + 19/5) + 8/7 sin(17 t + 4/7) + 6/7 sin(18 t + 5/3) + 7/10 sin(19 t + 13/7) + 7/3 sin(20 t + 33/8) + 7/4 sin(21 t + 2/7) + 2/9 sin(22 t + 4/5) + 1/9 sin(23 t + 14/3) + 12/11 sin(25 t + 95/47) + 17/8 sin(27 t + 11/10) + 6/5 sin(28 t + 11/3) + 4/5 sin(30 t + 23/5) + 6/7 sin(31 t + 6/5) + 3/8 sin(32 t + 77/19) + 1/12 sin(33 t + 19/10) + 3/7 sin(34 t + 29/7) + 5/8 sin(36 t + 7/2) + 5/8 sin(38 t + 22/7) + 3/11 sin(39 t + 3/4) + 1/5 sin(40 t + 13/5) + 3/7 sin(41 t + 1/5) + 1/5 sin(42 t + 34/11) + 1/2 sin(43 t + 1/4) + 8/15 sin(44 t + 23/6) + 1/4 sin(46 t + 14/3) + 2/9 sin(47 t + 5/7) + 1/6 sin(48 t + 37/12) + 1473/16) θ(59 π - t) θ(t - 55 π) + (-3/7 sin(1/7 - 43 t) - 8/17 sin(1/7 - 39 t) - 5/6 sin(1/7 - 33 t) - 5/7 sin(1/4 - 31 t) - 3/5 sin(3/10 - 29 t) - 4/5 sin(1/4 - 27 t) - 5/8 sin(3/7 - 25 t) - 5/8 sin(3/10 - 23 t) - 7/3 sin(1/3 - 13 t) - 9/5 sin(4/7 - 11 t) - 11/4 sin(2/3 - 9 t) - 63/16 sin(3/8 - 7 t) + sin(19 t) + 3/5 sin(37 t) + 277/7 sin(t + 3/2) + 32/9 sin(2 t + 13/3) + 35/17 sin(3 t + 15/7) + 6/7 sin(4 t + 10/3) + 3 sin(5 t + 14/3) + 31/9 sin(6 t + 17/6) + 19/6 sin(8 t + 15/7) + 7/3 sin(10 t + 17/6) + 23/11 sin(12 t + 20/7) + 18/11 sin(14 t + 13/5) + 3/2 sin(15 t + 1/8) + 13/8 sin(16 t + 19/6) + 7/6 sin(17 t + 1/17) + 20/19 sin(18 t + 50/17) + 2/3 sin(20 t + 17/6) + 15/14 sin(21 t + 1/5) + 23/22 sin(22 t + 22/7) + 4/5 sin(24 t + 19/7) + 5/7 sin(26 t + 50/17) + 5/7 sin(28 t + 49/16) + 5/9 sin(30 t + 25/9) + 7/11 sin(32 t + 13/5) + 3/4 sin(34 t + 19/6) + 2/3 sin(35 t + 4/13) + 2/3 sin(36 t + 7/2) + 3/7 sin(38 t + 16/5) + 2/5 sin(40 t + 35/11) + 3/7 sin(41 t + 1/6) + 3/7 sin(42 t + 79/26) + 3/8 sin(44 t + 29/10) + 1243/18) θ(55 π - t) θ(t - 51 π) + (-1/4 sin(7/9 - 52 t) - 8/5 sin(11/7 - 51 t) - 16/9 sin(4/5 - 49 t) - 4/5 sin(7/6 - 46 t) - 1/5 sin(1/18 - 45 t) - 5/7 sin(13/9 - 35 t) - 11/6 sin(3/2 - 22 t) - 12/5 sin(3/10 - 21 t) - 13/9 sin(10/9 - 20 t) - 13/4 sin(2/5 - 19 t) - 53/6 sin(8/9 - 13 t) - 23/6 sin(1/6 - 12 t) - 22/3 sin(15/11 - 11 t) - 377/10 sin(7/5 - 2 t) + 1470/11 sin(t + 5/7) + 17/2 sin(3 t + 22/7) + 227/8 sin(4 t + 12/7) + 24/7 sin(5 t + 20/13) + 457/38 sin(6 t + 5/3) + 123/7 sin(7 t + 34/9) + 169/21 sin(8 t + 21/10) + 71/9 sin(9 t + 1/10) + 55/9 sin(10 t + 27/11) + 13/2 sin(14 t + 33/10) + 71/18 sin(15 t + 37/8) + 32/7 sin(16 t + 14/5) + 65/33 sin(17 t + 7/3) + 59/29 sin(18 t + 29/11) + 20/9 sin(23 t + 49/11) + 5/4 sin(24 t + 5/9) + 7/8 sin(25 t + 34/11) + 3/2 sin(26 t + 8/3) + 8/7 sin(27 t + 17/4) + 13/6 sin(28 t + 29/7) + 35/12 sin(29 t + 17/4) + 11/7 sin(30 t + 37/9) + 8/9 sin(31 t + 38/11) + 5/4 sin(32 t + 49/16) + 5/9 sin(33 t + 5/3) + 23/10 sin(34 t + 19/6) + 9/8 sin(36 t + 25/9) + 1/4 sin(37 t + 101/25) + sin(38 t + 88/29) + 12/13 sin(39 t + 16/9) + 13/9 sin(40 t + 19/6) + 5/7 sin(41 t + 36/11) + 4/5 sin(42 t + 7/5) + 3/4 sin(43 t + 8/7) + 5/7 sin(44 t + 19/7) + 6/7 sin(47 t + 7/15) + 2/3 sin(48 t + 65/22) + 3/4 sin(50 t + 16/5) + 14/15 sin(53 t + 13/4) + 1/7 sin(54 t + 25/9) - 17/9) θ(51 π - t) θ(t - 47 π) + (-3/5 sin(6/5 - 12 t) + 947/9 sin(t + 8/5) + 23/7 sin(2 t + 40/9) + 139/14 sin(3 t + 20/9) + 7/3 sin(4 t + 31/8) + 29/5 sin(5 t + 21/8) + 11/6 sin(6 t + 35/8) + 23/8 sin(7 t + 17/7) + 22/21 sin(8 t + 9/2) + 7/4 sin(9 t + 35/12) + 32/31 sin(10 t + 14/3) + 14/13 sin(11 t + 23/8) + 101/3) θ(47 π - t) θ(t - 43 π) + (-1/4 sin(1/5 - 10 t) - 1/3 sin(5/9 - 8 t) - 37/8 sin(7/9 - 2 t) + 113/15 sin(t + 20/7) + 35/6 sin(3 t + 34/11) + 26/11 sin(4 t + 23/6) + 3/8 sin(5 t + 1/2) + 4/5 sin(6 t + 6/11) + 1/4 sin(7 t + 14/5) + 7/11 sin(9 t + 28/9) + 1/10 sin(11 t + 34/11) + 1/11 sin(12 t + 7/10) - 549/2) θ(43 π - t) θ(t - 39 π) + (-195/28 sin(2/5 - 2 t) + 1/16 sin(12 t) + 47/9 sin(t + 1/11) + 9/10 sin(3 t + 13/7) + 2/7 sin(4 t + 17/4) + 1/9 sin(5 t + 27/11) + 2/9 sin(6 t + 13/5) + 1/4 sin(7 t + 11/7) + 1/6 sin(8 t + 23/6) + 1/7 sin(9 t + 3/10) + 1/14 sin(10 t + 51/11) + 1/16 sin(11 t + 4) + 181/4) θ(39 π - t) θ(t - 35 π) + (255/8 sin(t + 11/9) - 3072/11) θ(35 π - t) θ(t - 31 π) + (352/13 sin(t + 1/3) + 422/9) θ(31 π - t) θ(t - 27 π) + (-15/7 sin(11/7 - 5 t) - 203/3 sin(26/17 - t) + 9/8 sin(2 t + 13/5) + 78/11 sin(3 t + 32/7) + 4/7 sin(4 t + 49/16) + 3/5 sin(6 t + 8/3) + 27/28 sin(7 t + 40/9) + 5/11 sin(8 t + 21/8) + 3/5 sin(9 t + 40/9) + 5/9 sin(10 t + 13/5) + 5/11 sin(11 t + 30/7) + 1/4 sin(12 t + 19/7) - 823/3) θ(27 π - t) θ(t - 23 π) + (-2/9 sin(4/5 - 12 t) - 2/7 sin(11/12 - 10 t) - 3/7 sin(3/5 - 8 t) - 3/7 sin(7/8 - 6 t) + 24/23 sin(4 t) + 746/11 sin(t + 11/8) + 9/7 sin(2 t + 1/4) + 202/29 sin(3 t + 7/5) + 23/8 sin(5 t + 7/6) + 31/30 sin(7 t + 8/9) + 7/10 sin(9 t + 5/6) + 2/5 sin(11 t + 5/7) + 248/5) θ(23 π - t) θ(t - 19 π) + (-23/7 sin(1/9 - 19 t) - 22/7 sin(1/23 - 13 t) - 77/10 sin(1/29 - 9 t) - 86/9 sin(1/19 - 5 t) - 1119/20 sin(2/5 - 3 t) - 317/8 sin(3/4 - 2 t) + 47/12 sin(17 t) + 73/7 sin(t + 21/8) + 96/5 sin(4 t + 37/12) + 43/5 sin(6 t + 13/4) + 89/9 sin(7 t + 3/7) + 63/8 sin(8 t + 27/11) + 41/7 sin(10 t + 29/9) + 23/4 sin(11 t + 1/11) + 83/14 sin(12 t + 16/5) + 114/23 sin(14 t + 64/21) + 49/11 sin(15 t + 1/52) + 27/7 sin(16 t + 22/7) + 13/4 sin(18 t + 27/8) + 13/4 sin(20 t + 67/22) + 28/9 sin(21 t + 1/28) + 46/15 sin(22 t + 22/7) + 528/7) θ(19 π - t) θ(t - 15 π) + (-5/6 sin(10/7 - 17 t) - 7/11 sin(11/9 - 12 t) - 9/7 sin(5/8 - 11 t) - 5/3 sin(7/9 - 7 t) - 19/6 sin(8/7 - t) + 117/10 sin(2 t + 23/7) + 1329/14 sin(3 t + 49/11) + 46/7 sin(4 t + 8/3) + 11/3 sin(5 t + 1/9) + 33/13 sin(6 t + 5/8) + 11/5 sin(8 t + 13/5) + 69/7 sin(9 t + 4) + 14/9 sin(10 t + 9/5) + 1/2 sin(13 t + 21/5) + 7/5 sin(14 t + 33/13) + 59/20 sin(15 t + 17/5) + 3/2 sin(16 t + 16/9) + 1/5 sin(18 t + 63/31) + 1/5 sin(19 t + 67/22) + 9/8 sin(20 t + 16/9) + sin(21 t + 11/4) + sin(22 t + 1) - 4661/14) θ(15 π - t) θ(t - 11 π) + (-9/7 sin(2/3 - 16 t) - 9/5 sin(5/7 - 14 t) - 11/8 sin(11/12 - 12 t) - 15/7 sin(5/7 - 10 t) - 9/5 sin(7/6 - 8 t) - 202/9 sin(14/9 - 2 t) + 1693/4 sin(t + 11/9) + 183/7 sin(3 t + 23/9) + 95/8 sin(4 t + 35/8) + 217/15 sin(5 t + 5/3) + 67/22 sin(6 t + 33/7) + 12/5 sin(7 t + 33/17) + 35/8 sin(9 t + 20/11) + 54/53 sin(11 t + 1/4) + 5/4 sin(13 t + 29/9) + 3/8 sin(15 t + 11/8) + 2/3 sin(17 t + 45/23) + 7/8 sin(18 t + 1/6) - 961/9) θ(11 π - t) θ(t - 7 π) + (-1/2 sin(1/7 - 20 t) - 9/5 sin(11/7 - 18 t) - 13/6 sin(10/7 - 15 t) - 22/7 sin(7/10 - 14 t) - 180/11 sin(4/5 - 8 t) + 832/5 sin(t + 9/5) + 4138/11 sin(2 t + 29/8) + 963/11 sin(3 t + 17/7) + 175/11 sin(4 t + 9/8) + 133/11 sin(5 t + 35/8) + 59/7 sin(6 t + 1/2) + 200/9 sin(7 t + 1/4) + 28/5 sin(9 t + 12/5) + 17/8 sin(10 t + 20/9) + 10/7 sin(11 t + 19/5) + 8 sin(12 t + 22/7) + 38/9 sin(13 t + 9/4) + 32/11 sin(16 t + 3/8) + 8/3 sin(17 t + 3/7) + 38/15 sin(19 t + 11/5) - 567/2) θ(7 π - t) θ(t - 3 π) + (-3/7 sin(1/5 - 32 t) - 9/10 sin(7/9 - 31 t) - sin(5/9 - 29 t) - 9/7 sin(2/5 - 27 t) - 11/10 sin(3/5 - 25 t) - 14/9 sin(6/7 - 23 t) - 13/8 sin(12/13 - 21 t) - 14/9 sin(1/14 - 20 t) - 13/8 sin(8/7 - 19 t) - 19/13 sin(8/9 - 17 t) + 8761/12 sin(t + 16/11) + 531/10 sin(2 t + 13/8) + 199/10 sin(3 t + 23/5) + 645/19 sin(4 t + 12/7) + 434/9 sin(5 t + 30/7) + 213/10 sin(6 t + 29/14) + 400/11 sin(7 t + 49/12) + 65/4 sin(8 t + 5/2) + 459/23 sin(9 t + 34/9) + 14 sin(10 t + 29/11) + 60/7 sin(11 t + 17/5) + 29/3 sin(12 t + 13/5) + 8/3 sin(13 t + 8/3) + 266/53 sin(14 t + 26/11) + 1/2 sin(15 t + 4/3) + 20/9 sin(16 t + 5/4) + 2 sin(18 t + 3/8) + 7/10 sin(22 t + 1/4) + 7/8 sin(24 t + 13/12) + 17/10 sin(26 t + 12/13) + 13/8 sin(28 t + 2/3) + 7/5 sin(30 t + 3/10) - 2765/11) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((225/4 sin(t + 8/5) + 853/4 sin(2 t + 11/7) + 11/9 sin(3 t + 43/11) + 191/9 sin(4 t + 11/7) + 14/11 sin(5 t + 31/7) + 205/11 sin(6 t + 8/5) + 3/10 sin(7 t + 28/11) + 27/4 sin(8 t + 8/5) + 3/7 sin(9 t + 23/10) + 85/14 sin(10 t + 13/8) + 1/3 sin(11 t + 2) + 89/30 sin(12 t + 8/5) - 7019/10) θ(91 π - t) θ(t - 87 π) + (-20/7 sin(14/9 - 11 t) - 89/8 sin(11/7 - 8 t) - 19/4 sin(14/9 - 7 t) - 87/4 sin(11/7 - 6 t) - 799/7 sin(11/7 - 4 t) - 43/10 sin(14/9 - 3 t) + 145/4 sin(t + 11/7) + 1266/17 sin(2 t + 11/7) + 182/11 sin(5 t + 11/7) + 24/25 sin(9 t + 11/7) + 54/7 sin(10 t + 8/5) + 4192/7) θ(87 π - t) θ(t - 83 π) + (-7/9 sin(10/7 - 78 t) - 2/5 sin(1/4 - 77 t) - 1/3 sin(8/9 - 76 t) - 29/19 sin(4/3 - 71 t) - 15/11 sin(11/8 - 70 t) - 15/8 sin(3/2 - 68 t) - 3/7 sin(2/7 - 67 t) - 14/15 sin(10/7 - 66 t) - 31/10 sin(19/13 - 55 t) - 27/8 sin(19/13 - 51 t) - 4/7 sin(6/5 - 44 t) - 7/4 sin(3/2 - 43 t) - 9/7 sin(11/10 - 42 t) - 4/3 sin(4/3 - 41 t) - 19/4 sin(11/7 - 36 t) - 16/9 sin(9/7 - 35 t) - 6 sin(3/2 - 33 t) - 144/17 sin(10/7 - 32 t) - 69/7 sin(22/15 - 31 t) - 47/6 sin(3/2 - 30 t) - 24/23 sin(10/7 - 29 t) - 87/10 sin(20/13 - 26 t) - 222/17 sin(11/8 - 20 t) - 123/4 sin(20/13 - 19 t) - 265/9 sin(26/17 - 16 t) - 99/5 sin(3/2 - 15 t) - 63/5 sin(26/17 - 9 t) - 36/7 sin(3/2 - 8 t) - 133/16 sin(14/9 - 7 t) - 185/3 sin(11/7 - 3 t) - 713/21 sin(14/9 - 2 t) - 3111/13 sin(11/7 - t) + 141/7 sin(4 t + 8/5) + 222/7 sin(5 t + 8/5) + 67/10 sin(6 t + 13/8) + 11/7 sin(10 t + 11/8) + 117/10 sin(11 t + 5/3) + 61/8 sin(12 t + 13/8) + 34/9 sin(13 t + 14/3) + 142/9 sin(14 t + 11/7) + 221/9 sin(17 t + 5/3) + 265/6 sin(18 t + 13/8) + 61/12 sin(21 t + 14/3) + 37/3 sin(22 t + 8/5) + 14/9 sin(23 t + 17/8) + 18/19 sin(24 t + 13/6) + 14/13 sin(25 t + 7/8) + 56/9 sin(27 t + 11/7) + 21/4 sin(28 t + 23/5) + 9/4 sin(34 t + 37/8) + 22/3 sin(37 t + 8/5) + 7/11 sin(38 t + 26/7) + 9/2 sin(39 t + 5/3) + 13/5 sin(40 t + 7/4) + 2/9 sin(45 t + 25/8) + 22/9 sin(46 t + 12/7) + 10/7 sin(47 t + 14/3) + 1/7 sin(48 t + 4/7) + 31/30 sin(49 t + 9/5) + 1/5 sin(50 t + 4/5) + 5/4 sin(52 t + 3/2) + 5/6 sin(53 t + 23/10) + 7/4 sin(54 t + 16/11) + 11/5 sin(56 t + 11/7) + 12/7 sin(57 t + 23/12) + 25/8 sin(58 t + 12/7) + 1/23 sin(59 t + 1) + 3/7 sin(60 t + 4/3) + 21/10 sin(61 t + 14/9) + 16/17 sin(62 t + 25/13) + 37/9 sin(63 t + 7/4) + 11/8 sin(64 t + 35/18) + 4/7 sin(65 t + 10/7) + 1/6 sin(69 t + 13/7) + 8/5 sin(72 t + 5/3) + 7/13 sin(73 t + 13/3) + 7/5 sin(74 t + 7/4) + 3/4 sin(75 t + 35/17) + 4/9 sin(79 t + 11/7) + 1/7 sin(80 t + 25/9) + 1/4 sin(81 t + 23/10) + 3/5 sin(82 t + 20/13) - 243/7) θ(83 π - t) θ(t - 79 π) + (-11/9 sin(7/5 - 73 t) - 1/6 sin(8/7 - 68 t) - 1/28 sin(1/6 - 67 t) - 7/10 sin(3/2 - 60 t) - 11/4 sin(14/9 - 57 t) - 7/4 sin(3/2 - 54 t) - 32/7 sin(3/2 - 53 t) - 26/9 sin(14/9 - 49 t) - 83/21 sin(26/17 - 43 t) - 9/5 sin(11/8 - 42 t) - 155/8 sin(26/17 - 41 t) - 1/2 sin(1/3 - 40 t) - 52/5 sin(14/9 - 39 t) - 158/7 sin(17/11 - 33 t) - 19/8 sin(7/5 - 32 t) - 61/6 sin(3/2 - 31 t) - 59/13 sin(20/13 - 29 t) - 136/13 sin(14/9 - 26 t) - 8/7 sin(6/5 - 17 t) - 18/7 sin(7/5 - 13 t) - 758/9 sin(11/7 - 12 t) - 286/7 sin(11/7 - 9 t) - 1179/16 sin(11/7 - 8 t) - 47/3 sin(11/7 - 3 t) - 295/6 sin(11/7 - t) + 953/8 sin(2 t + 11/7) + 870/7 sin(4 t + 11/7) + 158/5 sin(5 t + 8/5) + 137/11 sin(6 t + 14/9) + 363/14 sin(7 t + 14/9) + 576/7 sin(10 t + 11/7) + 108/5 sin(11 t + 11/7) + 107/8 sin(14 t + 14/9) + 92/11 sin(15 t + 11/7) + 127/7 sin(16 t + 8/5) + 31/4 sin(18 t + 14/9) + 23/8 sin(19 t + 11/7) + 131/7 sin(20 t + 11/7) + 87/4 sin(21 t + 11/7) + 173/10 sin(22 t + 8/5) + 44/3 sin(23 t + 11/7) + 4/3 sin(24 t + 13/10) + 21 sin(25 t + 8/5) + 119/6 sin(27 t + 11/7) + 39/11 sin(28 t + 8/5) + 79/6 sin(30 t + 11/7) + 36/5 sin(34 t + 11/7) + 20/7 sin(35 t + 13/8) + 23/2 sin(36 t + 13/8) + 25/6 sin(37 t + 12/7) + 37/3 sin(38 t + 8/5) + 4/11 sin(44 t + 35/8) + 145/36 sin(45 t + 5/3) + 12/5 sin(46 t + 5/3) + 33/8 sin(47 t + 5/3) + 1/12 sin(48 t + 27/8) + 9/4 sin(50 t + 8/5) + 16/9 sin(51 t + 14/9) + 11/10 sin(52 t + 11/7) + 4/9 sin(55 t + 13/9) + 13/7 sin(56 t + 13/8) + 11/7 sin(58 t + 13/8) + 2/5 sin(59 t + 4/3) + 19/10 sin(61 t + 11/7) + sin(62 t + 11/7) + 22/9 sin(63 t + 5/3) + 4/5 sin(64 t + 16/9) + 3/4 sin(65 t + 13/8) + 15/16 sin(66 t + 15/11) + 1/7 sin(69 t + 8/5) + 5/7 sin(70 t + 17/10) + 2/9 sin(71 t + 13/9) + 25/24 sin(72 t + 14/9) + 4/9 sin(74 t + 12/7) + 11/5 sin(75 t + 5/3) + 85/42 sin(76 t + 5/3) - 1601/7) θ(79 π - t) θ(t - 75 π) + (-12/5 sin(11/7 - 4 t) + 703/22 sin(t + 11/7) + 4/11 sin(2 t + 5/3) + 5/2 sin(3 t + 11/7) + 3/5 sin(5 t + 14/9) - 6822/19) θ(75 π - t) θ(t - 71 π) + (-3/11 sin(3/2 - 6 t) - 14/5 sin(14/9 - 5 t) - 75/8 sin(11/7 - 3 t) - 6/7 sin(3/2 - 2 t) - 737/9 sin(11/7 - t) + 1/18 sin(4 t + 1/27) - 1871/8) θ(71 π - t) θ(t - 67 π) + (-7/9 sin(14/9 - 4 t) - 13/3 sin(11/7 - 3 t) - 23/15 sin(14/9 - 2 t) - 365/8 sin(11/7 - t) - 2607/7) θ(67 π - t) θ(t - 63 π) + (21/2 sin(t + 47/10) + 1028/7 sin(2 t + 11/7) + 233/26 sin(3 t + 51/11) + 313/10 sin(4 t + 8/5) + 277/23 sin(5 t + 13/8) + 2/5 sin(6 t + 29/11) + 17/9 sin(7 t + 12/7) + 41/10 sin(8 t + 11/7) + 2 sin(9 t + 18/11) + 51/7 sin(10 t + 11/7) + 39/7 sin(11 t + 8/5) + 9/2 sin(12 t + 14/3) - 261/2) θ(63 π - t) θ(t - 59 π) + (-10/9 sin(1/3 - 46 t) - 13/8 sin(1/3 - 44 t) - 40/7 sin(6/5 - 35 t) - 5/2 sin(4/3 - 34 t) - 2/5 sin(11/10 - 29 t) - 31/7 sin(7/15 - 25 t) - 10/7 sin(2/5 - 13 t) - 70/11 sin(34/33 - 9 t) - 183/10 sin(3/5 - 2 t) + 17/6 sin(36 t) + 371/9 sin(t + 3/4) + 120/11 sin(3 t + 31/7) + 55/6 sin(4 t + 62/21) + 47/7 sin(5 t + 20/13) + 23/3 sin(6 t + 4/5) + 43/5 sin(7 t + 32/7) + 71/10 sin(8 t + 8/17) + 79/20 sin(10 t + 16/5) + 31/15 sin(11 t + 18/7) + 36/5 sin(12 t + 43/14) + 17/9 sin(14 t + 1) + 71/35 sin(15 t + 23/6) + 16/9 sin(16 t + 9/4) + 13/14 sin(17 t + 50/11) + 6/5 sin(18 t + 38/9) + 12/7 sin(19 t + 5/7) + 23/7 sin(20 t + 11/4) + 54/11 sin(21 t + 8/5) + 15/14 sin(22 t + 37/8) + 229/57 sin(23 t + 5/4) + 9/10 sin(24 t + 21/5) + 27/8 sin(26 t + 19/11) + 62/21 sin(27 t + 34/9) + 23/7 sin(28 t + 22/21) + 7/6 sin(30 t + 113/28) + 2/3 sin(31 t + 26/17) + 27/5 sin(32 t + 1/51) + 5/3 sin(33 t + 4) + 13/5 sin(37 t + 18/17) + 18/7 sin(38 t + 1/7) + 10/7 sin(39 t + 19/5) + 27/10 sin(40 t + 17/7) + 11/5 sin(41 t + 11/7) + 11/9 sin(42 t + 5/3) + 13/8 sin(43 t + 1/37) + 14/13 sin(45 t + 12/11) + 6/7 sin(47 t + 10/3) + 2/5 sin(48 t + 4/9) + 3/10 sin(49 t + 21/11) - 2327/4) θ(59 π - t) θ(t - 55 π) + (-5/9 sin(1/2 - 44 t) - 4/5 sin(4/3 - 40 t) - 5/6 sin(1/4 - 38 t) - 27/28 sin(13/10 - 30 t) - 9/11 sin(21/20 - 28 t) - 40/7 sin(1/4 - 14 t) - 37/7 sin(4/3 - 7 t) - 59/11 sin(5/4 - 6 t) - 9/10 sin(5/9 - 4 t) + 257/11 sin(t + 1/14) + 21/2 sin(2 t + 6/7) + 25/12 sin(3 t + 5/3) + 108/11 sin(5 t + 15/11) + 23/11 sin(8 t + 11/8) + 11/5 sin(9 t + 18/5) + 48/13 sin(10 t + 38/9) + 18/7 sin(11 t + 8/5) + 22/9 sin(12 t + 48/11) + 22/9 sin(13 t + 13/4) + 49/11 sin(15 t + 6/11) + 13/7 sin(16 t + 2) + 23/7 sin(17 t + 37/10) + 6/5 sin(18 t + 27/8) + 3/8 sin(19 t + 13/5) + 23/7 sin(20 t + 8/5) + 51/11 sin(21 t + 1/2) + 4/3 sin(22 t + 3/8) + 7/9 sin(23 t + 23/5) + 23/5 sin(24 t + 7/6) + 4/11 sin(25 t + 9/7) + 5/4 sin(26 t + 2/5) + 9/7 sin(27 t + 25/9) + 5/8 sin(29 t + 19/7) + 9/8 sin(31 t + 51/13) + 8/9 sin(32 t + 21/20) + 3/7 sin(33 t + 30/7) + 5/9 sin(34 t + 5/7) + 1/7 sin(35 t + 8/5) + 3/8 sin(36 t + 12/7) + 3/7 sin(37 t + 14/5) + 2/5 sin(39 t + 2/3) + 3/8 sin(41 t + 23/6) + 1/8 sin(42 t + 1/7) + 8/11 sin(43 t + 26/7) - 3271/7) θ(55 π - t) θ(t - 51 π) + (-4/3 sin(7/8 - 51 t) - 10/7 sin(3/5 - 46 t) - 6/5 sin(1/3 - 42 t) - 7/4 sin(13/12 - 41 t) - 5/8 sin(3/7 - 38 t) - 7/5 sin(3/8 - 37 t) - 5/8 sin(13/9 - 35 t) - 19/7 sin(3/10 - 30 t) - 8/17 sin(8/11 - 23 t) - 6/5 sin(1/4 - 17 t) - 18/17 sin(7/10 - 15 t) - 72/11 sin(13/9 - 9 t) - 34/3 sin(3/8 - 4 t) + sin(31 t) + 7/8 sin(49 t) + 473/9 sin(t + 4/5) + 161/6 sin(2 t + 33/10) + 40/3 sin(3 t + 1/3) + 83/6 sin(5 t + 4) + 49/6 sin(6 t + 6/5) + 34/7 sin(7 t + 43/13) + 137/23 sin(8 t + 1/8) + 25/4 sin(10 t + 13/6) + 37/9 sin(11 t + 32/7) + 76/25 sin(12 t + 3/7) + 23/7 sin(13 t + 1/8) + 29/7 sin(14 t + 37/15) + 29/9 sin(16 t + 6/11) + 42/17 sin(18 t + 31/8) + 25/13 sin(19 t + 33/8) + 27/11 sin(20 t + 8/3) + 43/22 sin(21 t + 1/7) + 5/4 sin(22 t + 1/7) + 27/8 sin(24 t + 5/7) + 6/13 sin(25 t + 17/6) + 29/9 sin(26 t + 29/10) + 2/9 sin(27 t + 89/22) + 7/9 sin(28 t + 49/11) + 2 sin(29 t + 51/11) + 15/8 sin(32 t + 16/17) + 1/2 sin(33 t + 4/3) + 19/8 sin(34 t + 23/7) + 6/11 sin(36 t + 5/8) + 7/6 sin(39 t + 5/2) + 13/9 sin(40 t + 181/60) + 1/5 sin(43 t + 9/5) + 9/7 sin(44 t + 40/13) + 4/5 sin(45 t + 31/16) + 3/4 sin(47 t + 7/8) + 7/8 sin(48 t + 16/7) + 12/7 sin(50 t + 2) + 53/52 sin(52 t + 1/3) + 8/9 sin(53 t + 33/10) + 3/5 sin(54 t + 13/6) - 1291/4) θ(51 π - t) θ(t - 47 π) + (-2/5 sin(15/16 - 11 t) + 535/11 sin(t + 27/11) + 71/12 sin(2 t + 61/30) + 43/9 sin(3 t + 10/7) + 8/5 sin(4 t + 25/8) + 13/3 sin(5 t + 4/9) + 4/7 sin(6 t + 22/9) + 5/7 sin(7 t + 33/10) + 9/17 sin(8 t + 37/8) + 1/2 sin(9 t + 3/4) + 2/5 sin(10 t + 3/2) + 1/3 sin(12 t + 13/3) - 1106/3) θ(47 π - t) θ(t - 43 π) + (-3/8 sin(7/10 - 9 t) - 43/8 sin(13/9 - 3 t) + 24/7 sin(t + 87/22) + 11/7 sin(2 t + 5/8) + 22/15 sin(4 t + 59/13) + 12/11 sin(5 t + 3/8) + 24/23 sin(6 t + 47/16) + 1/6 sin(7 t + 1/11) + 4/9 sin(8 t + 19/7) + 4/9 sin(10 t + 14/5) + 2/7 sin(11 t + 7/9) + 1/8 sin(12 t + 31/9) - 231/5) θ(43 π - t) θ(t - 39 π) + (-1/17 sin(3/5 - 11 t) - 1/14 sin(5/8 - 9 t) - 3/8 sin(27/28 - 4 t) + 96/19 sin(t + 23/12) + 40/7 sin(2 t + 1) + 21/10 sin(3 t + 29/8) + 1/4 sin(5 t + 37/10) + 2/5 sin(6 t + 31/8) + 2/9 sin(7 t + 3/8) + 1/8 sin(8 t + 38/13) + 1/10 sin(10 t + 1/9) + 1/11 sin(12 t + 22/13) + 604/9) θ(39 π - t) θ(t - 35 π) + (-132/5 sin(4/11 - t) - 275/6) θ(35 π - t) θ(t - 31 π) + (598/9 - 207/8 sin(7/6 - t)) θ(31 π - t) θ(t - 27 π) + (-1/6 sin(5/8 - 10 t) - 37/19 sin(7/5 - 2 t) + 263/8 sin(t + 34/9) + 6/7 sin(3 t + 25/6) + 4/7 sin(4 t + 38/9) + 3/2 sin(5 t + 32/9) + 5/7 sin(6 t + 17/4) + 3/10 sin(7 t + 38/9) + 2/5 sin(8 t + 29/9) + 1/4 sin(9 t + 30/7) + 1/8 sin(11 t + 23/6) + 4/13 sin(12 t + 27/13) - 405/8) θ(27 π - t) θ(t - 23 π) + (227/7 sin(t + 9/4) + 8/17 sin(2 t + 21/5) + 21/8 sin(3 t + 1) + 9/7 sin(4 t + 37/10) + 7/11 sin(5 t + 16/9) + 1/5 sin(6 t + 29/9) + 7/10 sin(7 t + 11/8) + 4/11 sin(8 t + 27/8) + 1/3 sin(9 t + 7/4) + 3/10 sin(10 t + 38/11) + 2/11 sin(11 t + 7/11) + 1/3 sin(12 t + 39/11) + 129/2) θ(23 π - t) θ(t - 19 π) + (-23/12 sin(2/9 - 15 t) - 22/9 sin(1/3 - 13 t) - 69/4 sin(1/10 - 3 t) - 132/5 sin(4/11 - 2 t) + 101/25 sin(t + 23/7) + 188/21 sin(4 t + 29/9) + 97/7 sin(5 t + 1/6) + 18/5 sin(6 t + 27/8) + 39/20 sin(7 t + 13/9) + 32/5 sin(8 t + 31/10) + 19/5 sin(9 t + 1/7) + 32/7 sin(10 t + 29/10) + 27/14 sin(11 t + 3/7) + 22/7 sin(12 t + 27/7) + 13/7 sin(14 t + 29/9) + 13/6 sin(16 t + 29/8) + 25/12 sin(17 t + 1/5) + 9/8 sin(18 t + 77/26) + 11/8 sin(19 t + 1/22) + 6/5 sin(20 t + 25/8) + 22/15 sin(21 t + 3/11) + 9/7 sin(22 t + 13/4) + 726/5) θ(19 π - t) θ(t - 15 π) + (-3/8 sin(6/5 - 21 t) - 3/4 sin(7/6 - 15 t) + 66/7 sin(t + 12/7) + 53/5 sin(2 t + 27/7) + 283/9 sin(3 t + 49/11) + 63/8 sin(4 t + 18/11) + 35/6 sin(5 t + 27/8) + 53/7 sin(6 t + 29/8) + 4 sin(7 t + 17/8) + 53/15 sin(8 t + 41/11) + 13/7 sin(9 t + 59/13) + 19/6 sin(10 t + 37/19) + 10/7 sin(11 t + 38/15) + 12/7 sin(12 t + 23/10) + 11/6 sin(13 t + 9/10) + 13/10 sin(14 t + 45/13) + 10/9 sin(16 t + 3/4) + 24/25 sin(17 t + 7/6) + 1/13 sin(18 t + 14/5) + 16/15 sin(19 t + 7/13) + 9/8 sin(20 t + 35/9) + 1/9 sin(22 t + 19/18) + 73/11) θ(15 π - t) θ(t - 11 π) + (-20/7 sin(9/13 - 11 t) - 27/8 sin(25/17 - 7 t) - 1252/3 sin(3/7 - t) + 130/3 sin(2 t) + 156/7 sin(3 t + 57/14) + 45/4 sin(4 t + 13/7) + 118/17 sin(5 t + 8/17) + 10/3 sin(6 t + 4/5) + 3/2 sin(8 t + 7/3) + 17/11 sin(9 t + 14/5) + 5/3 sin(10 t + 5/7) + 18/19 sin(12 t + 63/62) + 16/11 sin(13 t + 3) + 2 sin(14 t + 2) + 3/7 sin(15 t + 21/5) + 17/16 sin(16 t + 30/7) + 13/8 sin(17 t + 38/9) + 3/8 sin(18 t + 55/28) - 404/3) θ(11 π - t) θ(t - 7 π) + (-19/8 sin(1/6 - 19 t) - 23/5 sin(7/15 - 11 t) - 196/23 sin(23/15 - 10 t) - 599/3 sin(16/11 - 2 t) + 777/4 sin(t + 11/3) + 765/11 sin(3 t + 7/6) + 101/10 sin(4 t + 29/9) + 161/6 sin(5 t + 13/8) + 49/4 sin(6 t + 27/8) + 96/7 sin(7 t + 6/7) + 23/7 sin(8 t + 25/6) + 36/11 sin(9 t + 1/5) + 35/8 sin(12 t + 129/32) + 11/12 sin(13 t + 7/6) + 43/8 sin(14 t + 26/7) + 21/8 sin(15 t + 4/3) + 19/8 sin(16 t + 23/9) + 11/5 sin(17 t + 5/6) + 19/13 sin(18 t + 27/7) + 8/7 sin(20 t + 30/7) + 3795/8) θ(7 π - t) θ(t - 3 π) + (-2/7 sin(6/7 - 27 t) - 5/9 sin(1/4 - 25 t) - 3/7 sin(16/11 - 22 t) - 7/9 sin(14/11 - 21 t) - 4/3 sin(3/2 - 20 t) - 3/2 sin(1/8 - 19 t) - 7/11 sin(1 - 16 t) - 17/9 sin(1/7 - 15 t) + 1157/6 sin(t + 11/7) + 384/5 sin(2 t + 32/7) + 31 sin(3 t + 16/11) + 97/3 sin(4 t + 43/10) + 70/11 sin(5 t + 25/7) + 97/8 sin(6 t + 23/6) + 74/7 sin(7 t + 35/9) + 47/7 sin(8 t + 22/9) + 41/5 sin(9 t + 61/15) + 36/7 sin(10 t + 10/7) + 50/9 sin(11 t + 26/7) + 19/5 sin(12 t + 12/7) + 34/9 sin(13 t + 19/5) + 23/10 sin(14 t + 4/7) + 18/11 sin(17 t + 7/13) + 4/3 sin(18 t + 47/10) + 4/9 sin(23 t + 6/7) + 5/8 sin(24 t + 5/9) + 5/6 sin(26 t + 27/28) + 8/9 sin(28 t + 5/4) + 4/9 sin(29 t + 2/9) + 1/2 sin(30 t + 11/7) + 3/5 sin(31 t + 23/5) + 5/9 sin(32 t + 1/8) + 901/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

トム・クルーズ（Tom Cruise）

x(t) = ((-31/16 sin(25/17 - 13 t) - 220/63 sin(38/25 - 8 t) - 170/31 sin(26/17 - 7 t) - 1688/25 sin(31/20 - 3 t) - 460/3 sin(53/34 - 2 t) + 1244/19 sin(t + 30/19) + 600/17 sin(4 t + 43/27) + 151/38 sin(5 t + 19/12) + 114/25 sin(6 t + 27/17) + 283/31 sin(9 t + 28/17) + 37/28 sin(10 t + 39/23) + 5/26 sin(11 t + 47/30) + 3/17 sin(12 t + 34/21) - 3391/22) θ(71 π - t) θ(t - 67 π) + (-6/17 sin(15/14 - 56 t) - 7/34 sin(19/23 - 47 t) - 95/13 sin(36/23 - 39 t) + 6223/26 sin(t + 11/7) + 402/25 sin(2 t + 146/31) + 14/29 sin(3 t + 119/26) + 318/25 sin(4 t + 146/31) + 17/21 sin(5 t + 78/17) + 34/25 sin(6 t + 327/70) + 31/2 sin(7 t + 113/24) + 307/18 sin(8 t + 113/24) + 17/12 sin(9 t + 88/19) + 21/13 sin(10 t + 5/3) + 79/23 sin(11 t + 103/22) + 138/19 sin(12 t + 31/20) + 52/19 sin(13 t + 36/23) + 112/19 sin(14 t + 80/17) + 7/17 sin(15 t + 111/26) + 338/27 sin(16 t + 108/23) + 34/27 sin(17 t + 109/24) + 34/21 sin(18 t + 35/23) + 181/30 sin(19 t + 17/11) + 53/25 sin(20 t + 3/2) + 65/18 sin(21 t + 127/27) + 34/13 sin(22 t + 14/3) + 151/23 sin(23 t + 14/3) + 55/16 sin(24 t + 327/70) + 29/4 sin(25 t + 14/9) + 109/16 sin(26 t + 56/37) + 184/21 sin(27 t + 20/13) + 21/16 sin(28 t + 243/52) + 297/41 sin(29 t + 89/19) + 166/19 sin(30 t + 117/25) + 61/25 sin(31 t + 88/19) + 7/22 sin(32 t + 58/13) + 111/19 sin(33 t + 56/37) + 31/6 sin(34 t + 80/53) + 103/41 sin(35 t + 149/99) + 137/32 sin(36 t + 30/19) + 139/20 sin(37 t + 14/3) + 83/18 sin(38 t + 97/21) + 481/40 sin(40 t + 29/19) + 99/31 sin(41 t + 22/15) + 68/25 sin(42 t + 41/25) + 251/27 sin(43 t + 131/28) + 13/10 sin(44 t + 68/15) + 42/13 sin(45 t + 95/63) + 49/19 sin(46 t + 37/25) + 93/13 sin(48 t + 51/11) + 23/18 sin(49 t + 114/25) + 109/20 sin(50 t + 20/13) + 27/17 sin(51 t + 43/32) + 1/6 sin(52 t + 23/18) + 133/41 sin(53 t + 215/46) + 43/32 sin(54 t + 28/17) + 27/20 sin(55 t + 51/11) + 63/23 sin(57 t + 37/26) + 5/34 sin(58 t + 1) + 26/11) θ(67 π - t) θ(t - 63 π) + (-5/22 sin(19/28 - 11 t) - 49/22 sin(23/15 - 7 t) + 603/14 sin(t + 39/25) + 293/25 sin(2 t + 14/9) + 3/16 sin(3 t + 3/5) + 82/23 sin(4 t + 93/20) + 108/29 sin(5 t + 22/15) + 179/18 sin(6 t + 29/19) + 16/23 sin(8 t + 310/69) + 76/9 sin(9 t + 121/26) + 2/23 sin(10 t + 35/13) + 7/26 sin(12 t + 46/25) + 59/19 sin(13 t + 125/27) + 13/19 sin(14 t + 86/19) + 12/17 sin(15 t + 77/58) + 47/26 sin(16 t + 68/15) + 68/25 sin(17 t + 24/17) + 185/53 sin(18 t + 60/43) + 19/20 sin(19 t + 175/39) + 23/26 sin(20 t + 31/23) + 35/52 sin(21 t + 103/23) + 5/2 sin(22 t + 167/37) - 97/7) θ(63 π - t) θ(t - 59 π) + (-4/15 sin(22/15 - 10 t) - 15/13 sin(25/16 - 9 t) - 277/24 sin(11/7 - 2 t) - 583/63 sin(47/30 - t) + 317/17 sin(3 t + 52/33) + 5/9 sin(4 t + 37/23) + 11/24 sin(5 t + 27/17) + 10/11 sin(6 t + 14/9) + 67/23 sin(7 t + 19/12) + 29/39 sin(8 t + 113/24) + 41/61 sin(11 t + 59/37) + 7/13 sin(12 t + 8/5) + 7116/37) θ(59 π - t) θ(t - 55 π) + (-5/22 sin(31/32 - 15 t) + 247/30 sin(t + 18/11) + 623/43 sin(2 t + 113/24) + 500/79 sin(3 t + 46/31) + 223/22 sin(4 t + 32/21) + 148/29 sin(5 t + 191/41) + 84/17 sin(6 t + 87/19) + 17/14 sin(7 t + 23/15) + 109/25 sin(8 t + 39/28) + 27/16 sin(9 t + 29/26) + 21/11 sin(10 t + 25/18) + 27/19 sin(11 t + 11/8) + 26/25 sin(12 t + 12/11) + sin(13 t + 23/20) + 15/14 sin(14 t + 7/5) + 11/23 sin(16 t + 19/15) - 4651/16) θ(55 π - t) θ(t - 51 π) + (-6/17 sin(14/9 - 19 t) + 8427/172 sin(t + 11/7) + 215/22 sin(2 t + 30/19) + 146/19 sin(3 t + 30/19) + 11/26 sin(4 t + 37/22) + 55/21 sin(5 t + 27/17) + 21/19 sin(6 t + 53/33) + 61/62 sin(7 t + 37/23) + 5/23 sin(8 t + 54/31) + 30/23 sin(9 t + 8/5) + 8/39 sin(10 t + 78/47) + 2/15 sin(11 t + 162/35) + 11/23 sin(12 t + 47/10) + 1/4 sin(13 t + 257/55) + 3/4 sin(14 t + 59/37) + 7/29 sin(15 t + 34/21) + 1/9 sin(16 t + 21/13) + 1/40 sin(17 t + 183/43) + 5/13 sin(18 t + 43/27) + 6/31 sin(20 t + 31/19) + 5/36 sin(21 t + 26/15) + 7/36 sin(22 t + 43/26) + 4/23 sin(23 t + 77/46) + 10/23 sin(24 t + 23/14) + 4/13 sin(25 t + 5/3) + 3/23 sin(26 t + 65/14) + 5/29 sin(27 t + 19/11) + 1/2 sin(28 t + 33/20) + 13/33 sin(29 t + 68/41) + 9/29 sin(30 t + 80/17) + 1/23 sin(31 t + 33/8) + 1922/19) θ(51 π - t) θ(t - 47 π) + (-18/25 sin(47/30 - 27 t) - 19/25 sin(31/20 - 25 t) - 13/53 sin(29/19 - 19 t) - 9/22 sin(36/23 - 18 t) - 23/12 sin(45/29 - 15 t) - 7/19 sin(19/13 - 14 t) - 19/37 sin(22/15 - 13 t) - 5/22 sin(67/48 - 12 t) - 41/18 sin(45/29 - 11 t) - 1/2 sin(49/33 - 10 t) - 139/70 sin(31/20 - 9 t) - 27/17 sin(31/20 - 8 t) - 8/13 sin(43/29 - 7 t) - 51/41 sin(23/15 - 6 t) - 89/17 sin(25/16 - 5 t) - 89/26 sin(31/20 - 4 t) - 218/27 sin(25/16 - 3 t) - 172/13 sin(36/23 - 2 t) - 815/19 sin(11/7 - t) + 9/35 sin(16 t + 16/11) + 7/43 sin(17 t + 60/43) + 5/9 sin(20 t + 31/20) + 19/18 sin(21 t + 113/24) + 23/32 sin(22 t + 11/7) + 15/14 sin(23 t + 26/17) + sin(24 t + 108/23) + 23/26 sin(26 t + 20/13) + 25/33 sin(28 t + 14/9) + 17/24 sin(29 t + 47/10) + 7/24 sin(30 t + 36/23) - 834/13) θ(47 π - t) θ(t - 43 π) + (-8/21 sin(25/19 - 4 t) + 126/17 sin(t + 41/26) + 611/17 sin(2 t + 80/17) + 58/23 sin(3 t + 205/44) - 1033/23) θ(43 π - t) θ(t - 39 π) + (1363/21 sin(t + 21/13) + 147/44 sin(2 t + 49/16) + 133/25 sin(3 t + 15/8) + 14/17 sin(4 t + 73/16) + 41/16 sin(5 t + 48/29) + 11/13 sin(6 t + 76/27) + 29/26 sin(7 t + 45/19) + 5/9 sin(8 t + 1741/435) + 23/34 sin(9 t + 17/9) + 9/25 sin(10 t + 34/11) + 9/14 sin(11 t + 61/26) + 7/16 sin(12 t + 121/32) - 548/17) θ(39 π - t) θ(t - 35 π) + (47/31 sin(t + 4/15) + 17/16 sin(2 t + 23/14) + 72/71 sin(3 t + 18/23) + 25/24 sin(4 t + 15/22) + 17/42 sin(5 t + 99/26) + 1/4 sin(6 t + 12/17) + 6/35 sin(7 t + 53/14) + 1443/14) θ(35 π - t) θ(t - 31 π) + (-16/19 sin(2/11 - 3 t) + 343/22 sin(t + 19/23) + 23/28 sin(2 t + 58/17) + 4345/41) θ(31 π - t) θ(t - 27 π) + (-4/17 sin(2/27 - 7 t) + 33/13 sin(t + 1/5) + 25/33 sin(2 t + 136/33) + 13/19 sin(3 t + 19/5) + 101/100 sin(4 t + 44/23) + 17/18 sin(5 t + 23/18) + 22/31 sin(6 t + 149/50) + 8/27 sin(8 t + 267/80) + 3/7 sin(9 t + 2/23) - 1240/13) θ(27 π - t) θ(t - 23 π) + (277/17 sin(t + 38/37) - 1759/19) θ(23 π - t) θ(t - 19 π) + (-20/21 sin(33/32 - 10 t) - 11/12 sin(13/12 - 8 t) - 29/27 sin(29/20 - 6 t) + 1176/17 sin(t + 47/28) + 43/23 sin(2 t + 56/13) + 222/35 sin(3 t + 17/8) + 30/19 sin(4 t + 103/23) + 39/16 sin(5 t + 29/11) + 29/21 sin(7 t + 66/23) + 11/19 sin(9 t + 105/32) - 781/26) θ(19 π - t) θ(t - 15 π) + (449/10 sin(t + 29/19) + 58/27 sin(2 t + 13/3) + 58/15 sin(3 t + 30/19) + 8/11 sin(4 t + 33/8) + 4/3 sin(5 t + 37/23) + 5/8 sin(6 t + 113/29) + 19/28 sin(7 t + 58/33) + 9/23 sin(8 t + 161/43) + 9/25 sin(9 t + 44/23) + 6/19 sin(10 t + 297/85) + 6/29 sin(11 t + 37/22) + 11/43 sin(12 t + 147/40) + 2794/25) θ(15 π - t) θ(t - 11 π) + (1707/32 sin(t + 21/13) + 26/27 sin(2 t + 27/7) + 73/14 sin(3 t + 29/17) + 12/13 sin(4 t + 27/7) + 71/36 sin(5 t + 36/19) + 13/30 sin(6 t + 111/28) + 19/20 sin(7 t + 44/21) + 5/16 sin(8 t + 103/26) - 1753/17) θ(11 π - t) θ(t - 7 π) + (-31/19 sin(17/25 - 24 t) - 35/17 sin(16/21 - 14 t) - 58/19 sin(11/12 - 13 t) + 1531/7 sin(t + 155/77) + 2511/26 sin(2 t + 74/19) + 71/2 sin(3 t + 1/17) + 416/21 sin(4 t + 48/17) + 14/3 sin(5 t + 29/13) + 46/15 sin(6 t + 14/25) + 62/17 sin(7 t + 27/19) + 46/15 sin(8 t + 67/18) + 112/23 sin(9 t + 269/77) + 107/33 sin(10 t + 53/22) + 113/26 sin(11 t + 29/17) + 97/34 sin(12 t + 17/15) + 71/29 sin(15 t + 50/19) + 141/25 sin(16 t + 44/27) + 66/17 sin(17 t + 44/29) + 129/22 sin(18 t + 21/17) + 59/20 sin(19 t + 5/16) + 21/16 sin(20 t + 3/7) + 865/288 sin(21 t + 1/179) + 27/26 sin(22 t + 177/38) + 61/29 sin(23 t + 47/18) + 8/21) θ(7 π - t) θ(t - 3 π) + (-5/6 sin(13/11 - 12 t) - 28/19 sin(13/24 - 11 t) - 21/10 sin(31/20 - 6 t) - 73/19 sin(20/17 - 4 t) - 230/17 sin(11/8 - 3 t) + 7607/32 sin(t + 17/13) + 31/7 sin(2 t + 33/14) + 106/35 sin(5 t + 48/11) + 108/23 sin(7 t + 23/12) + 14/13 sin(8 t + 5/18) + 7/31 sin(9 t + 13/51) + 3/26 sin(10 t + 4/13) + 5/16 sin(13 t + 51/23) + 10/29 sin(14 t + 166/37) + 19/34 sin(15 t + 56/25) + 3/20 sin(16 t + 44/17) + 17/52 sin(17 t + 22/9) + 9/22 sin(18 t + 49/20) + 7/16 sin(19 t + 49/37) - 334/11) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-139/36 sin(44/29 - 13 t) - 841/59 sin(47/30 - 3 t) + 403/24 sin(t + 19/12) + 1605/17 sin(2 t + 19/12) + 507/11 sin(4 t + 35/22) + 29/9 sin(5 t + 65/14) + 659/30 sin(6 t + 8/5) + 44/23 sin(7 t + 37/8) + 21/8 sin(8 t + 37/24) + 85/16 sin(9 t + 53/32) + 155/19 sin(10 t + 21/13) + 121/81 sin(11 t + 12/7) + 3/5 sin(12 t + 22/15) - 3268/11) θ(71 π - t) θ(t - 67 π) + (-268/29 sin(31/20 - 39 t) - 137/20 sin(94/63 - 37 t) - 191/82 sin(39/25 - 10 t) - 283/21 sin(36/23 - 4 t) - 392/13 sin(47/30 - t) + 1237/15 sin(2 t + 33/7) + 185/27 sin(3 t + 47/30) + 217/15 sin(5 t + 14/9) + 749/20 sin(6 t + 25/16) + 167/9 sin(7 t + 25/16) + 1613/44 sin(8 t + 25/16) + 105/23 sin(9 t + 23/15) + 43/16 sin(11 t + 70/47) + 37/22 sin(12 t + 27/19) + 23/9 sin(13 t + 146/31) + 19/26 sin(14 t + 41/31) + 369/23 sin(15 t + 17/11) + 244/17 sin(16 t + 37/24) + 199/34 sin(17 t + 37/24) + 463/232 sin(18 t + 17/11) + 39/17 sin(19 t + 37/8) + 141/17 sin(20 t + 79/17) + 493/38 sin(21 t + 177/38) + 22/15 sin(22 t + 202/45) + 92/15 sin(23 t + 243/52) + 592/47 sin(24 t + 261/56) + 339/22 sin(25 t + 14/3) + 480/23 sin(26 t + 131/28) + 265/14 sin(27 t + 341/73) + 360/29 sin(28 t + 14/3) + 67/7 sin(29 t + 35/23) + 110/23 sin(30 t + 32/21) + 523/51 sin(31 t + 20/13) + 125/12 sin(32 t + 43/28) + 186/25 sin(33 t + 43/29) + 139/26 sin(34 t + 37/23) + 1/5 sin(35 t + 31/25) + 203/23 sin(36 t + 3/2) + 371/24 sin(38 t + 53/34) + 148/23 sin(40 t + 35/22) + 3324/133 sin(41 t + 103/22) + 85/12 sin(42 t + 27/17) + 140/19 sin(43 t + 31/22) + 248/23 sin(44 t + 31/20) + 94/13 sin(45 t + 88/19) + 142/17 sin(46 t + 107/23) + 151/14 sin(47 t + 44/29) + 72/29 sin(48 t + 23/14) + 3/5 sin(49 t + 13/21) + 34/13 sin(50 t + 31/22) + 313/46 sin(51 t + 163/35) + 133/20 sin(52 t + 73/16) + 70/47 sin(53 t + 31/22) + 72/13 sin(54 t + 19/13) + 95/22 sin(55 t + 106/23) + 69/19 sin(56 t + 27/17) + 199/24 sin(57 t + 44/29) + 25/4 sin(58 t + 88/19) + 3525/16) θ(67 π - t) θ(t - 63 π) + (-35/34 sin(71/47 - 3 t) + 181/19 sin(t + 80/17) + 244/19 sin(2 t + 11/7) + 647/42 sin(4 t + 25/16) + 53/9 sin(5 t + 145/31) + 107/13 sin(6 t + 19/12) + 62/19 sin(7 t + 62/41) + 178/17 sin(8 t + 31/20) + 10/19 sin(9 t + 34/19) + 11/13 sin(10 t + 32/15) + 77/27 sin(11 t + 17/11) + 45/26 sin(12 t + 39/23) + 69/52 sin(13 t + 27/16) + 23/17 sin(14 t + 113/26) + 4/11 sin(15 t + 79/34) + 76/75 sin(16 t + 95/22) + 8/3 sin(17 t + 58/13) + 85/26 sin(18 t + 19/13) + 8/13 sin(19 t + 43/10) + 28/29 sin(20 t + 67/42) + 37/17 sin(21 t + 48/35) + 25/16 sin(22 t + 22/5) - 1389/16) θ(63 π - t) θ(t - 59 π) + (-97/25 sin(39/25 - 9 t) - 66/25 sin(36/23 - 8 t) + 422/23 sin(t + 11/7) + 101/6 sin(2 t + 179/38) + 118/7 sin(3 t + 11/7) + 38/5 sin(4 t + 41/26) + 87/28 sin(5 t + 19/12) + 1216/135 sin(6 t + 30/19) + 9/5 sin(7 t + 30/19) + 44/17 sin(10 t + 52/33) + 7/43 sin(11 t + 28/17) + 52/29 sin(12 t + 35/22) - 4989/37) θ(59 π - t) θ(t - 55 π) + (-12/19 sin(52/37 - 13 t) + 323/28 sin(t + 16/11) + 421/12 sin(2 t + 36/23) + 464/15 sin(3 t + 75/16) + 117/29 sin(4 t + 22/5) + 71/10 sin(5 t + 55/12) + 89/13 sin(6 t + 55/12) + 71/15 sin(7 t + 119/26) + 50/11 sin(8 t + 70/47) + 12/19 sin(9 t + 18/31) + 1/18 sin(10 t + 109/28) + 1/3 sin(11 t + 12/7) + 10/7 sin(12 t + 25/19) + 8/19 sin(14 t + 105/29) + 11/14 sin(15 t + 57/13) + 3/16 sin(16 t + 49/11) - 617/19) θ(55 π - t) θ(t - 51 π) + (-41/10 sin(43/28 - 30 t) - 10/3 sin(23/15 - 26 t) - 461/460 sin(83/55 - 23 t) - 35/24 sin(59/39 - 19 t) - 1/19 sin(41/35 - 16 t) - 24/23 sin(38/25 - 12 t) - 33/20 sin(45/29 - 11 t) - 15/61 sin(26/17 - 8 t) - 38/17 sin(36/23 - 7 t) - 67/23 sin(39/25 - 4 t) - 365/91 sin(25/16 - 2 t) - 120/13 sin(36/23 - t) + 12/19 sin(3 t + 47/10) + 22/9 sin(5 t + 30/19) + 19/13 sin(6 t + 30/19) + 31/25 sin(9 t + 67/42) + 5/6 sin(10 t + 27/17) + 3/28 sin(13 t + 93/53) + 17/30 sin(14 t + 25/16) + 19/29 sin(15 t + 41/26) + 16/25 sin(17 t + 229/49) + 5/13 sin(18 t + 97/65) + 1/16 sin(20 t + 3/2) + 1/37 sin(21 t + 53/18) + 1/4 sin(22 t + 44/29) + 39/34 sin(24 t + 18/11) + 27/17 sin(25 t + 8/5) + 27/25 sin(27 t + 43/27) + 20/23 sin(28 t + 38/23) + 16/9 sin(29 t + 37/23) + 75/37 sin(31 t + 31/19) + 691/13) θ(51 π - t) θ(t - 47 π) + (-69/25 sin(11/7 - 15 t) - 2/3 sin(39/25 - 10 t) - 29/16 sin(36/23 - 8 t) - 10/7 sin(17/11 - 6 t) + 591/37 sin(t + 11/7) + 9/7 sin(2 t + 11/7) + 79/18 sin(3 t + 11/7) + 48/97 sin(4 t + 29/19) + 48/11 sin(5 t + 80/17) + 42/29 sin(7 t + 25/16) + 19/16 sin(9 t + 30/19) + 31/32 sin(11 t + 108/23) + 37/18 sin(12 t + 30/19) + 32/13 sin(13 t + 25/16) + 33/20 sin(14 t + 80/17) + 4/15 sin(16 t + 43/30) + 21/23 sin(17 t + 52/33) + 3/7 sin(18 t + 127/27) + 46/33 sin(19 t + 46/29) + 9/29 sin(20 t + 154/103) + 57/20 sin(21 t + 108/23) + 11/8 sin(22 t + 11/7) + 49/13 sin(23 t + 31/20) + 79/16 sin(24 t + 61/13) + 16/31 sin(25 t + 20/13) + 51/20 sin(26 t + 11/7) + 25/51 sin(27 t + 83/18) + 50/27 sin(28 t + 27/17) + 45/22 sin(29 t + 163/35) + 54/19 sin(30 t + 58/37) + 1329/16) θ(47 π - t) θ(t - 43 π) + (-5/8 sin(14/9 - 3 t) - 17/26 sin(25/16 - t) + 42/11 sin(2 t + 36/23) + 1/23 sin(4 t + 43/10) - 2639/11) θ(43 π - t) θ(t - 39 π) + (-1/10 sin(17/12 - 12 t) - 8/15 sin(33/26 - 7 t) - 4/17 sin(13/9 - 5 t) - 57/26 sin(19/14 - 3 t) - 9/10 sin(17/30 - 2 t) - 551/52 sin(50/33 - t) + 1/9 sin(4 t + 2/19) + 2/9 sin(6 t + 18/19) + 3/19 sin(8 t + 21/13) + 12/49 sin(9 t + 42/17) + 1/4 sin(10 t + 51/19) + 3/28 sin(11 t + 86/25) - 7230/37) θ(39 π - t) θ(t - 35 π) + (-15/16 sin(39/59 - 5 t) + 19/21 sin(t + 29/26) + 7/10 sin(2 t + 61/19) + 95/94 sin(3 t + 89/37) + 25/16 sin(4 t + 143/57) + 1/24 sin(6 t + 43/18) + 3/13 sin(7 t + 31/47) + 347/18) θ(35 π - t) θ(t - 31 π) + (-11/8 sin(34/25 - 3 t) - 126/11 sin(22/25 - t) + 106/107 sin(2 t + 29/10) + 291/16) θ(31 π - t) θ(t - 27 π) + (-2/13 sin(8/9 - 7 t) - 5/3 sin(3/4 - 3 t) + 88/87 sin(t + 59/25) + 7/9 sin(2 t + 163/65) + 37/23 sin(4 t + 55/19) + 8/17 sin(5 t + 121/32) + 13/32 sin(6 t + 106/27) + 2/11 sin(8 t + 65/19) + 5/23 sin(9 t + 16/17) + 662/11) θ(27 π - t) θ(t - 23 π) + (1591/27 - 622/61 sin(5/11 - t)) θ(23 π - t) θ(t - 19 π) + (-7/16 sin(28/57 - 9 t) - 13/21 sin(3/8 - 8 t) - 12/7 sin(18/13 - 5 t) - 9/13 sin(36/35 - 4 t) - 59/23 sin(17/20 - 3 t) - 35/13 sin(22/25 - 2 t) - 837/29 sin(5/21 - t) + 2/19 sin(6 t + 13/5) + 14/19 sin(7 t + 10/13) + 1/17 sin(10 t + 9/23) - 3542/19) θ(19 π - t) θ(t - 15 π) + (-3/16 sin(21/22 - 12 t) - 1/8 sin(17/13 - 10 t) - 1/7 sin(91/61 - 8 t) - 14/27 sin(37/29 - 6 t) - 8/11 sin(4/13 - 5 t) - 31/22 sin(16/23 - 4 t) - 115/48 sin(25/29 - 3 t) - 519/28 sin(21/25 - t) + 121/21 sin(2 t + 108/23) + 13/24 sin(7 t + 3/28) + 6/17 sin(9 t + 9/19) + 5/16 sin(11 t + 14/13) + 104/7) θ(15 π - t) θ(t - 11 π) + (-23/24 sin(6/29 - 5 t) - 9/10 sin(19/18 - 4 t) - 29/20 sin(11/39 - 3 t) - 67/12 sin(36/31 - 2 t) - 365/31 sin(3/19 - t) + 2/23 sin(6 t + 29/14) + 6/7 sin(7 t + 11/25) + 1/5 sin(8 t + 17/5) + 441/8) θ(11 π - t) θ(t - 7 π) + (-93/20 sin(6/35 - 24 t) - 159/29 sin(8/17 - 21 t) - 208/21 sin(22/25 - 16 t) - 237/37 sin(26/19 - 11 t) - 187/23 sin(46/37 - 10 t) - 1655/14 sin(14/17 - 2 t) + 1417/23 sin(t + 46/11) + 5526/65 sin(3 t + 44/45) + 155/23 sin(4 t + 102/31) + 866/23 sin(5 t + 3/2) + 292/17 sin(6 t + 99/29) + 327/28 sin(7 t + 32/13) + 176/19 sin(8 t + 95/23) + 46/29 sin(9 t + 26/15) + 169/23 sin(12 t + 49/11) + 62/17 sin(13 t + 37/26) + 23/20 sin(14 t + 14/11) + 59/10 sin(15 t + 31/46) + 94/13 sin(17 t + 101/22) + 142/25 sin(18 t + 122/27) + 344/55 sin(19 t + 71/19) + 50/17 sin(20 t + 31/13) + 149/23 sin(22 t + 91/24) + 151/19 sin(23 t + 65/36) + 5853/34) θ(7 π - t) θ(t - 3 π) + (-16/25 sin(30/23 - 16 t) - 1005/251 sin(1/21 - 4 t) - 4987/18 sin(6/25 - t) + 111/20 sin(2 t + 99/38) + 577/72 sin(3 t + 13/11) + 137/19 sin(5 t + 64/17) + 64/25 sin(6 t + 41/15) + 11/12 sin(7 t + 18/25) + 8/27 sin(8 t + 17/12) + 7/4 sin(9 t + 1/17) + 7/13 sin(10 t + 80/17) + 15/19 sin(11 t + 38/15) + 12/35 sin(12 t + 9/13) + 29/35 sin(13 t + 33/8) + 21/22 sin(14 t + 34/13) + 36/37 sin(15 t + 5/16) + 8/15 sin(17 t + 67/19) + 7/22 sin(18 t + 30/23) + 5/18 sin(19 t + 1/23) - 541/10) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

マリリン・モンロー（Marilyn Monroe)

数式の読み込みに失敗

アンジェリーナ・ジョリー（Angelina Jolie)

x(t) = ((-23/4 sin(29/20 - 41 t) - 47/15 sin(47/34 - 38 t) - 979/196 sin(45/31 - 36 t) - 59/6 sin(25/17 - 33 t) - 259/26 sin(104/69 - 32 t) - 49/24 sin(57/37 - 31 t) - 37/21 sin(32/23 - 30 t) - 324/31 sin(85/57 - 27 t) - 47/26 sin(24/17 - 25 t) - 247/29 sin(39/25 - 24 t) - 834/71 sin(63/41 - 23 t) - 475/49 sin(62/41 - 22 t) - 20/7 sin(29/20 - 17 t) - 1286/61 sin(98/65 - 16 t) - 2312/25 sin(20/13 - 14 t) - 2662/41 sin(23/15 - 13 t) - 2292/131 sin(92/61 - 11 t) - 1690/37 sin(48/31 - 8 t) + 993/23 sin(t + 52/33) + 407/31 sin(2 t + 25/16) + 1049/57 sin(3 t + 49/31) + 1385/42 sin(4 t + 80/17) + 2929/40 sin(5 t + 49/31) + 500/39 sin(6 t + 164/35) + 116/25 sin(7 t + 155/33) + 2593/26 sin(9 t + 43/27) + 200/37 sin(10 t + 65/42) + 2866/39 sin(12 t + 133/83) + 703/234 sin(15 t + 46/27) + 133/8 sin(18 t + 13/8) + 716/33 sin(19 t + 27/17) + 180/53 sin(20 t + 47/30) + 476/31 sin(21 t + 57/35) + 73/22 sin(26 t + 77/48) + 549/49 sin(28 t + 44/27) + 657/68 sin(29 t + 27/17) + 29/22 sin(34 t + 140/31) + 180/49 sin(35 t + 14/9) + 43/4 sin(37 t + 77/46) + 68/23 sin(39 t + 39/25) + 80/47 sin(40 t + 49/27) + 16829/29) θ(119 π - t) θ(t - 115 π) + (-43/40 sin(39/29 - 62 t) - 44/17 sin(56/37 - 58 t) - 23/39 sin(14/11 - 57 t) - 59/10 sin(49/32 - 51 t) - 215/31 sin(20/13 - 46 t) - 447/22 sin(110/73 - 34 t) - 407/39 sin(54/35 - 33 t) - 432/35 sin(14/9 - 29 t) - 175/33 sin(35/24 - 28 t) - 102/5 sin(64/41 - 22 t) + 833/46 sin(t + 131/28) + 1360/9 sin(2 t + 52/33) + 139/3 sin(3 t + 43/27) + 108/29 sin(4 t + 244/53) + 4269/41 sin(5 t + 113/24) + 7407/31 sin(6 t + 65/41) + 2159/32 sin(7 t + 103/22) + 5476/51 sin(8 t + 37/23) + 3855/37 sin(9 t + 60/37) + 2247/46 sin(10 t + 18/11) + 216/31 sin(11 t + 81/40) + 3364/35 sin(12 t + 69/43) + 1492/21 sin(13 t + 47/10) + 1981/29 sin(14 t + 21/13) + 1852/35 sin(15 t + 18/11) + 255/23 sin(16 t + 72/41) + 499/25 sin(17 t + 134/29) + 754/17 sin(18 t + 57/35) + 203/31 sin(19 t + 35/19) + 1289/32 sin(20 t + 41/25) + 65/21 sin(21 t + 55/13) + 731/31 sin(23 t + 34/21) + 816/83 sin(24 t + 23/14) + 467/29 sin(25 t + 197/42) + 496/37 sin(26 t + 64/39) + 34/9 sin(27 t + 40/27) + 204/23 sin(30 t + 76/43) + 34/3 sin(31 t + 50/29) + 1579/57 sin(32 t + 51/31) + 37/6 sin(35 t + 69/44) + 128/21 sin(36 t + 21/13) + 194/83 sin(37 t + 52/27) + 35/37 sin(38 t + 46/19) + 39/38 sin(39 t + 234/55) + 113/16 sin(40 t + 71/43) + 126/101 sin(41 t + 145/83) + 13/6 sin(42 t + 184/41) + 100/31 sin(43 t + 117/25) + 355/36 sin(44 t + 48/29) + 148/57 sin(45 t + 30/17) + 3/2 sin(47 t + 51/28) + 107/61 sin(48 t + 27/16) + 72/13 sin(49 t + 93/56) + 55/37 sin(50 t + 144/31) + 53/24 sin(52 t + 59/34) + 182/47 sin(53 t + 41/24) + 481/103 sin(54 t + 110/61) + 97/29 sin(55 t + 89/19) + 7/4 sin(56 t + 49/30) + 82/37 sin(59 t + 55/28) + 20/13 sin(60 t + 45/23) + 147/34 sin(61 t + 77/45) - 27563/35) θ(115 π - t) θ(t - 111 π) + (-11/13 sin(37/33 - 98 t) - 13/32 sin(69/44 - 97 t) - 33/19 sin(38/29 - 88 t) - 124/45 sin(44/29 - 87 t) - 72/37 sin(56/43 - 77 t) - 78/77 sin(197/131 - 72 t) - 39/58 sin(7/33 - 54 t) - 31/20 sin(26/25 - 37 t) - 265/58 sin(122/81 - 35 t) - 4901/196 sin(49/32 - 12 t) - 7950/49 sin(91/58 - 8 t) - 515/12 sin(25/16 - 5 t) + 21289/23 sin(t + 80/51) + 4245/8 sin(2 t + 36/23) + 394321/930 sin(3 t + 113/24) + 4699/17 sin(4 t + 113/24) + 1931/41 sin(6 t + 43/28) + 745/24 sin(7 t + 40/27) + 861/8 sin(9 t + 113/24) + 1348/15 sin(10 t + 146/31) + 1015/39 sin(11 t + 43/28) + 590/39 sin(13 t + 53/34) + 271/37 sin(14 t + 48/31) + 268/29 sin(15 t + 63/38) + 443/25 sin(16 t + 127/27) + 872/37 sin(17 t + 53/35) + 2329/82 sin(18 t + 145/31) + 11/4 sin(19 t + 832/185) + 1139/36 sin(20 t + 49/32) + 203/13 sin(21 t + 114/25) + 2807/72 sin(22 t + 48/31) + 639/26 sin(23 t + 19/12) + 163/23 sin(24 t + 43/26) + 517/36 sin(25 t + 75/47) + 359/30 sin(26 t + 159/34) + 603/32 sin(27 t + 46/31) + 1679/34 sin(28 t + 387/83) + 269/22 sin(29 t + 41/28) + 94/39 sin(30 t + 56/51) + 1219/54 sin(31 t + 51/11) + 535/29 sin(32 t + 61/41) + 17/52 sin(33 t + 54/49) + 133/33 sin(34 t + 308/67) + 73/18 sin(36 t + 262/57) + 131/20 sin(38 t + 134/29) + 391/72 sin(39 t + 428/93) + 505/26 sin(40 t + 3/2) + 39/10 sin(41 t + 256/57) + 76/21 sin(42 t + 22/13) + 341/37 sin(43 t + 16/11) + 67/39 sin(44 t + 93/22) + 211/26 sin(45 t + 167/36) + 161/20 sin(46 t + 19/13) + 175/23 sin(47 t + 124/27) + 229/35 sin(48 t + 59/39) + 23/19 sin(49 t + 36/23) + 59/34 sin(50 t + 40/9) + 399/46 sin(51 t + 75/52) + 351/49 sin(52 t + 119/26) + 23/17 sin(53 t + 49/44) + 179/17 sin(55 t + 308/67) + 74/25 sin(56 t + 84/61) + 7/10 sin(57 t + 21/17) + 58/39 sin(58 t + 94/21) + 44/23 sin(59 t + 97/54) + 265/36 sin(60 t + 47/32) + 44/87 sin(61 t + 49/26) + 899/142 sin(62 t + 143/31) + 109/29 sin(63 t + 93/70) + 391/55 sin(64 t + 51/11) + 24/37 sin(65 t + 29/38) + 151/30 sin(66 t + 78/17) + 291/50 sin(67 t + 44/29) + 124/29 sin(68 t + 82/55) + 83/52 sin(69 t + 95/47) + 22/21 sin(70 t + 81/38) + 301/47 sin(71 t + 13/9) + 341/28 sin(73 t + 239/52) + 133/22 sin(74 t + 14/11) + 245/39 sin(75 t + 47/10) + 136/29 sin(76 t + 537/115) + 250/43 sin(78 t + 25/17) + 30/41 sin(79 t + 83/23) + 5/2 sin(80 t + 198/113) + 129/29 sin(81 t + 21/13) + 169/32 sin(82 t + 73/47) + 28/29 sin(83 t + 133/33) + 129/40 sin(84 t + 86/19) + 34/11 sin(85 t + 56/43) + 143/32 sin(86 t + 163/35) + 77/25 sin(89 t + 27/20) + 418/93 sin(90 t + 166/37) + 103/37 sin(91 t + 55/39) + 16/13 sin(92 t + 45/26) + 87/40 sin(93 t + 55/32) + 53/25 sin(94 t + 67/41) + 58/43 sin(95 t + 26/15) + 67/30 sin(96 t + 149/99) + 155/41 sin(99 t + 124/27) - 6637/21) θ(111 π - t) θ(t - 107 π) + (-27/23 sin(5/12 - 35 t) - 94/23 sin(32/31 - 34 t) - 26/9 sin(17/27 - 33 t) - 226/31 sin(43/33 - 32 t) - 211/50 sin(38/25 - 29 t) - 11/18 sin(18/23 - 28 t) - 23/18 sin(32/31 - 27 t) - 255/94 sin(27/20 - 25 t) - 41/31 sin(65/47 - 21 t) - 59/12 sin(33/28 - 19 t) - 160/31 sin(31/29 - 18 t) - 859/78 sin(165/124 - 17 t) - 137/13 sin(37/26 - 16 t) - 25/23 sin(175/117 - 9 t) + 937/6 sin(t + 41/26) + 41/9 sin(2 t + 163/36) + 563/33 sin(3 t + 21/13) + 19/8 sin(4 t + 181/40) + 53/15 sin(5 t + 77/46) + 10/31 sin(6 t + 73/23) + 133/39 sin(7 t + 67/42) + 5/9 sin(8 t + 30/19) + 22/13 sin(10 t + 47/27) + 108/37 sin(11 t + 90/53) + 37/40 sin(12 t + 47/23) + 18/13 sin(13 t + 49/11) + 63/40 sin(14 t + 139/31) + 453/34 sin(15 t + 65/41) + 27/32 sin(20 t + 13/46) + 8/19 sin(22 t + 58/35) + 19/30 sin(23 t + 157/34) + 10/23 sin(24 t + 7/27) + 51/31 sin(26 t + 29/24) + 83/26 sin(30 t + 52/31) + 179/45 sin(31 t + 56/37) + 14/23 sin(36 t + 45/29) + 56/33 sin(37 t + 69/37) + 62/61 sin(38 t + 192/47) + 4/5 sin(39 t + 102/47) + 7/43 sin(40 t + 67/18) + 3/13 sin(41 t + 39/38) + 15/32 sin(42 t + 75/16) + 34/31 sin(43 t + 53/29) + 31/32 sin(44 t + 52/25) + 11/29 sin(45 t + 23/6) + 19/11 sin(46 t + 134/29) + 55/27 sin(47 t + 30/17) + 8/25 sin(48 t + 185/44) + 12/31 sin(49 t + 61/41) - 803/16) θ(107 π - t) θ(t - 103 π) + (-183/137 sin(41/31 - 53 t) - 3/2 sin(45/32 - 51 t) - 21/37 sin(17/24 - 50 t) - 109/73 sin(21/16 - 49 t) - 28/23 sin(26/19 - 46 t) - 499/95 sin(49/38 - 44 t) - 79/37 sin(37/28 - 41 t) - 28/25 sin(35/33 - 35 t) - 39/10 sin(23/17 - 34 t) - 17/6 sin(27/22 - 33 t) - 40/29 sin(4/3 - 32 t) - 159/65 sin(23/16 - 30 t) - 130/31 sin(43/34 - 29 t) - 182/27 sin(37/26 - 28 t) - 19/13 sin(35/23 - 26 t) - 67/39 sin(58/49 - 25 t) - 131/37 sin(81/59 - 24 t) - 29/18 sin(53/40 - 23 t) - 77/51 sin(14/11 - 22 t) - 457/61 sin(68/47 - 21 t) - 293/27 sin(53/36 - 15 t) - 80/39 sin(23/15 - 14 t) - 65/17 sin(31/21 - 11 t) - 21/17 sin(26/17 - 10 t) - 41/13 sin(57/37 - 8 t) + 17496/85 sin(t + 41/26) + 26/17 sin(2 t + 418/93) + 449/24 sin(3 t + 27/17) + 221/63 sin(4 t + 51/11) + 283/43 sin(5 t + 69/43) + 16/15 sin(6 t + 64/37) + 29/11 sin(7 t + 59/36) + 201/44 sin(9 t + 59/37) + 97/83 sin(12 t + 35/22) + 77/10 sin(13 t + 173/104) + 23/22 sin(16 t + 61/32) + 349/32 sin(17 t + 61/36) + 60/17 sin(18 t + 79/46) + 11/23 sin(19 t + 61/29) + 373/86 sin(20 t + 48/29) + 99/16 sin(27 t + 67/40) + 217/38 sin(31 t + 46/27) + 25/29 sin(36 t + 189/41) + 423/106 sin(37 t + 49/27) + 11/12 sin(38 t + 59/29) + 184/105 sin(39 t + 65/34) + 93/50 sin(40 t + 93/49) + 8/25 sin(42 t + 45/22) + 13/11 sin(43 t + 46/29) + 19/28 sin(45 t + 27/28) + 14/23 sin(47 t + 37/31) + 9/31 sin(48 t + 25/16) + 52/31 sin(52 t + 56/31) - 20749/273) θ(103 π - t) θ(t - 99 π) + (-2/27 sin(47/30 - 3 t) + 321/16 sin(t + 63/40) + 219/31 sin(2 t + 41/26) + 69/47 sin(4 t + 30/19) + 36/23 sin(5 t + 27/17) + 888/11) θ(99 π - t) θ(t - 95 π) + (-93/25 sin(25/16 - 8 t) - 85/33 sin(25/16 - 7 t) - 217/38 sin(47/30 - 6 t) - 989/49 sin(25/16 - 5 t) + 6925/39 sin(t + 11/7) + 3173/138 sin(2 t + 52/33) + 289/9 sin(3 t + 146/31) + 187/23 sin(4 t + 41/26) + 16/7 sin(9 t + 164/35) + 19/22 sin(10 t + 429/92) + 4/27 sin(11 t + 47/32) + 23/40 sin(12 t + 29/19) - 1249/41) θ(95 π - t) θ(t - 91 π) + (-14/51 sin(65/43 - 4 t) + 2519/13 sin(t + 74/47) + 14/11 sin(2 t + 151/33) + 601/28 sin(3 t + 30/19) - 5627/23) θ(91 π - t) θ(t - 87 π) + (-268/37 sin(91/58 - t) + 1/47 sin(2 t + 31/22) + 68/41 sin(3 t + 113/24) + 185/19 sin(4 t + 52/33) + 133/53 sin(5 t + 65/41) + 3/35 sin(6 t + 122/65) - 14306/33) θ(87 π - t) θ(t - 83 π) + (-64/15 sin(66/43 - 12 t) - 244/63 sin(38/25 - 10 t) - 6/5 sin(17/12 - 9 t) - 632/39 sin(20/13 - 8 t) - 986/33 sin(20/13 - 7 t) - 123/23 sin(31/20 - 6 t) - 923/32 sin(36/23 - 4 t) + 1270/19 sin(t + 74/47) + 70/19 sin(2 t + 53/32) + 1359/43 sin(3 t + 41/26) + 854/27 sin(5 t + 30/19) + 32/13 sin(11 t + 19/12) + 15881/49) θ(83 π - t) θ(t - 79 π) + (-1009/28 sin(36/23 - 6 t) + 1362/19 sin(t + 11/7) + 113/11 sin(2 t + 174/37) + 2128/45 sin(3 t + 30/19) + 3805/58 sin(4 t + 30/19) + 1316/51 sin(5 t + 41/26) + 500/33 sin(7 t + 85/54) + 69/8 sin(8 t + 179/38) + 337/37 sin(9 t + 19/12) + 59/18 sin(10 t + 53/33) + 5/24 sin(11 t + 87/46) + 335/44 sin(12 t + 46/29) - 9149/24) θ(79 π - t) θ(t - 75 π) + (-3/32 sin(37/27 - 14 t) - 31/25 sin(54/35 - 11 t) - 101/51 sin(39/25 - 6 t) + 4553/33 sin(t + 63/40) + 771/43 sin(2 t + 65/41) + 679/45 sin(3 t + 49/31) + 79/19 sin(4 t + 65/41) + 468/67 sin(5 t + 68/43) + 127/52 sin(7 t + 59/37) + 30/29 sin(8 t + 155/33) + 89/49 sin(9 t + 35/22) + 50/99 sin(10 t + 19/12) + 35/52 sin(12 t + 49/30) + 80/39 sin(13 t + 21/13) + 25/23 sin(15 t + 34/21) + 13/38 sin(16 t + 96/61) + 17/31 sin(17 t + 17/10) + 55/39 sin(18 t + 61/38) + 17/32 sin(19 t + 179/38) + 16/13 sin(20 t + 55/34) + 10772/39) θ(75 π - t) θ(t - 71 π) + (-sin(54/35 - 16 t) - 17/29 sin(86/57 - 12 t) - 43/19 sin(47/30 - 2 t) + 4197/25 sin(t + 11/7) + 904/39 sin(3 t + 36/23) + 6/11 sin(4 t + 127/27) + 209/31 sin(5 t + 85/54) + 12/61 sin(6 t + 41/34) + 143/46 sin(7 t + 14/9) + 28/29 sin(8 t + 30/19) + 63/32 sin(9 t + 36/23) + 17/43 sin(10 t + 149/32) + 29/19 sin(11 t + 25/16) + 5/8 sin(13 t + 36/23) + 21/17 sin(14 t + 61/39) + 28/57 sin(15 t + 39/25) + 19/31 sin(17 t + 49/31) + 25/42 sin(18 t + 127/27) + 17/25 sin(19 t + 74/47) + 5/19 sin(20 t + 32/21) + 62/55 sin(21 t + 47/30) - 14987/44) θ(71 π - t) θ(t - 67 π) + (-82/31 sin(35/23 - 23 t) - 165/82 sin(31/20 - 22 t) - 109/20 sin(36/23 - 12 t) - 74/11 sin(14/9 - 11 t) - 12/29 sin(89/59 - 10 t) - 8/17 sin(19/13 - 7 t) - 211/35 sin(14/9 - 6 t) - 59/23 sin(25/16 - 5 t) - 148/13 sin(80/51 - 4 t) - 465/13 sin(36/23 - 2 t) + 2488/25 sin(t + 11/7) + 95/26 sin(3 t + 49/31) + 12/29 sin(8 t + 69/44) + 197/58 sin(9 t + 49/31) + 26/33 sin(13 t + 79/17) + 67/9 sin(14 t + 62/39) + 400/37 sin(15 t + 35/22) + 355/43 sin(16 t + 59/37) + 19/20 sin(17 t + 70/43) + 5/16 sin(18 t + 55/32) + 31/18 sin(19 t + 34/21) + 26/19 sin(20 t + 76/47) + 6/19 sin(21 t + 119/26) + 6093/19) θ(67 π - t) θ(t - 63 π) + (-73/52 sin(54/35 - 23 t) - 54/25 sin(58/37 - 19 t) - 73/20 sin(14/9 - 17 t) - 5/33 sin(43/28 - 14 t) - 52/21 sin(25/16 - 12 t) + 4675/43 sin(t + 96/61) + 353/28 sin(2 t + 30/19) + 3799/200 sin(3 t + 41/26) + 28/5 sin(4 t + 41/26) + 200/31 sin(5 t + 11/7) + 41/28 sin(6 t + 41/26) + 21/29 sin(7 t + 31/20) + 95/46 sin(8 t + 99/62) + 49/99 sin(9 t + 74/47) + 17/22 sin(10 t + 211/45) + 77/34 sin(11 t + 27/17) + 40/17 sin(13 t + 155/97) + 20/27 sin(15 t + 43/26) + 47/16 sin(16 t + 59/37) + 149/37 sin(18 t + 43/27) + 30/17 sin(20 t + 8/5) + 3/31 sin(21 t + 92/41) + 16/23 sin(22 t + 45/29) + 28/39 sin(24 t + 17/11) - 9671/24) θ(63 π - t) θ(t - 59 π) + (-278/19 sin(47/30 - 3 t) - 181/29 sin(58/37 - 2 t) - 2421/26 sin(69/44 - t) + 9898/27) θ(59 π - t) θ(t - 55 π) + (7671/67 sin(t + 107/68) + 355/36 sin(2 t + 11/7) + 377/24 sin(3 t + 49/31) - 28766/63) θ(55 π - t) θ(t - 51 π) + (-1345/28 sin(80/51 - 2 t) - 359/25 sin(113/72 - t) + 259/15 sin(3 t + 11/7) + 5273/19) θ(51 π - t) θ(t - 47 π) + (-10399/100 sin(91/58 - t) + 1514/33 sin(2 t + 85/54) - 24712/67) θ(47 π - t) θ(t - 43 π) + (-14/37 sin(13/11 - 10 t) + 300/41 sin(t + 77/36) + 102/23 sin(2 t + 73/110) + 259/30 sin(3 t + 11/4) + 323/63 sin(4 t + 87/28) + 150/41 sin(5 t + 18/25) + 26/37 sin(6 t + 69/19) + 16/35 sin(7 t + 19/25) + 18/25 sin(8 t + 17/4) + 11/19 sin(9 t + 79/28) + 5/19 sin(11 t + 19/10) + 13/31 sin(12 t + 95/21) + 8431/36) θ(43 π - t) θ(t - 39 π) + (-3/13 sin(5/4 - 12 t) - 21/29 sin(59/38 - 6 t) - 70/11 sin(26/19 - t) + 76/11 sin(2 t + 19/14) + 162/29 sin(3 t + 203/45) + 439/73 sin(4 t + 124/27) + 14/33 sin(5 t + 38/29) + 34/33 sin(7 t + 24/11) + 39/46 sin(8 t + 94/21) + 11/40 sin(9 t + 13/15) + 9/19 sin(10 t + 229/51) + 4/35 sin(11 t + 22/7) - 2147/6) θ(39 π - t) θ(t - 35 π) + (769/16 sin(t + 20/17) + 49/31 sin(2 t + 84/23) + 129/41 sin(3 t + 13/37) + 11433/47) θ(35 π - t) θ(t - 31 π) + (-14/17 sin(22/23 - 4 t) - 21/25 sin(37/56 - 2 t) + 1493/31 sin(t + 48/37) + 49/27 sin(3 t + 5/17) - 8077/23) θ(31 π - t) θ(t - 27 π) + (2099/23 sin(t + 112/67) + 25/32 sin(2 t + 68/23) + 129/16 sin(3 t + 50/27) + 31/34 sin(4 t + 373/112) + 38/17 sin(5 t + 21/11) + 38/53 sin(6 t + 32/9) + 25/28 sin(7 t + 83/46) + 10/19 sin(8 t + 134/35) + 10721/42) θ(27 π - t) θ(t - 23 π) + (3072/29 sin(t + 29/19) + 9/8 sin(2 t + 256/73) + 254/25 sin(3 t + 43/28) + 19/21 sin(4 t + 87/25) + 95/26 sin(5 t + 81/52) + 21/32 sin(6 t + 23/6) + 86/53 sin(7 t + 45/29) + 23/38 sin(8 t + 243/67) - 3827/11) θ(23 π - t) θ(t - 19 π) + (-25/17 sin(36/25 - 6 t) - 99/46 sin(18/29 - 4 t) + 3796/29 sin(t + 43/31) + 5/2 sin(2 t + 5/28) + 227/35 sin(3 t + 26/21) + 47/20 sin(5 t + 43/39) + 23/17 sin(7 t + 11/13) + 4572/17) θ(19 π - t) θ(t - 15 π) + (6353/37 sin(t + 37/21) + 430/59 sin(2 t + 165/37) + 537/43 sin(3 t + 78/31) + 133/25 sin(4 t + 143/32) + 128/25 sin(5 t + 78/23) + 218/61 sin(6 t + 174/37) + 51/22 sin(7 t + 34/9) - 12821/38) θ(15 π - t) θ(t - 11 π) + (-36/23 sin(13/18 - 12 t) - 77/36 sin(17/30 - 10 t) - 82/31 sin(17/24 - 8 t) - 255/62 sin(26/37 - 6 t) - 192/37 sin(9/16 - 4 t) - 199/40 sin(21/47 - 2 t) + 5791/22 sin(t + 63/41) + 1140/47 sin(3 t + 34/23) + 92/13 sin(5 t + 29/21) + 63/22 sin(7 t + 19/17) + 31/28 sin(9 t + 21/23) + 13/19 sin(11 t + 54/35) - 3874/61) θ(11 π - t) θ(t - 7 π) + (-186/29 sin(3/2 - 6 t) - 452/43 sin(81/65 - 4 t) - 487/39 sin(31/34 - 2 t) + 3854/13 sin(t + 102/73) + 313/17 sin(3 t + 31/30) + 56/23 sin(5 t + 4/13) + 46/33 sin(7 t + 33/13) + 110/27 sin(8 t + 57/13) + 67/38 sin(9 t + 71/33) + 138/59 sin(10 t + 101/26) + 11/8 sin(11 t + 46/25) + 20/23 sin(12 t + 103/29) - 605/13) θ(7 π - t) θ(t - 3 π) + (-320/43 sin(21/34 - 6 t) - 205/29 sin(299/298 - 4 t) + 47179/69 sin(t + 6/13) + 307/32 sin(2 t + 46/51) + 1152/19 sin(3 t + 60/37) + 107/8 sin(5 t + 143/37) + 2626/175 sin(7 t + 45/26) + 131/22 sin(8 t + 143/40) + 296/47 sin(9 t + 500/499) + 16/7 sin(10 t + 93/25) - 4117/31) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-52/5 sin(54/37 - 34 t) - 179/56 sin(46/33 - 31 t) - 513/28 sin(59/39 - 25 t) - 316/105 sin(43/28 - 22 t) - 259/16 sin(102/65 - 17 t) - 26239/64 sin(36/23 - 3 t) - 18953/51 sin(58/37 - t) + 11283/29 sin(2 t + 30/19) + 29123/35 sin(4 t + 49/31) + 6877/14 sin(5 t + 65/41) + 117/50 sin(6 t + 103/51) + 587/13 sin(7 t + 164/35) + 102/13 sin(8 t + 236/51) + 975/14 sin(9 t + 101/63) + 122/41 sin(10 t + 79/44) + 1900/139 sin(11 t + 117/25) + 597/22 sin(12 t + 31/19) + 1219/39 sin(13 t + 8/5) + 552/13 sin(14 t + 35/22) + 621/26 sin(15 t + 31/19) + 705/28 sin(16 t + 212/45) + 579/11 sin(18 t + 34/21) + 19/27 sin(19 t + 190/43) + 15/29 sin(20 t + 89/20) + 497/23 sin(21 t + 128/77) + 205/51 sin(23 t + 57/34) + 317/35 sin(24 t + 68/39) + 17/4 sin(26 t + 202/43) + 927/34 sin(27 t + 33/20) + 31/23 sin(28 t + 154/123) + 37/6 sin(29 t + 28/17) + 159/19 sin(30 t + 22/13) + 87/23 sin(32 t + 82/49) + 57/28 sin(33 t + 103/52) + 77/29 sin(35 t + 116/25) + 489/41 sin(36 t + 49/29) + 61/30 sin(37 t + 62/39) + 313/47 sin(38 t + 69/40) + 36/11 sin(39 t + 41/23) + 90/91 sin(40 t + 7/4) + 47/19 sin(41 t + 101/63) - 8810/27) θ(119 π - t) θ(t - 115 π) + (-91/46 sin(11/8 - 62 t) - 59/28 sin(39/34 - 61 t) - 11/2 sin(89/67 - 60 t) - 15/8 sin(32/35 - 59 t) - 53/22 sin(48/35 - 58 t) - 175/176 sin(13/12 - 54 t) - 71/15 sin(30/23 - 53 t) - 166/27 sin(25/18 - 52 t) - 48/29 sin(20/31 - 51 t) - 547/114 sin(43/31 - 50 t) - 271/41 sin(51/37 - 46 t) - 141/20 sin(42/31 - 45 t) - 129/13 sin(37/26 - 44 t) - 164/23 sin(37/26 - 41 t) - 451/52 sin(31/21 - 40 t) - 27/22 sin(63/44 - 38 t) - 83/7 sin(35/24 - 36 t) - 874/93 sin(7/5 - 35 t) - 117/22 sin(22/17 - 34 t) - 911/69 sin(3/2 - 32 t) - 109/37 sin(27/19 - 31 t) - 31/13 sin(16/19 - 27 t) - 383/10 sin(64/43 - 26 t) - 455/19 sin(31/21 - 24 t) - 764/17 sin(58/39 - 18 t) - 5417/48 sin(74/49 - 17 t) - 1557/35 sin(80/53 - 16 t) - 3366/25 sin(71/46 - 12 t) - 2267/100 sin(91/61 - 11 t) - 1523/27 sin(239/159 - 10 t) - 7929/44 sin(36/23 - 7 t) + 32716/55 sin(t + 146/31) + 26497/40 sin(2 t + 30/19) + 28971/35 sin(3 t + 19/12) + 12399/44 sin(4 t + 117/73) + 3783/29 sin(5 t + 145/31) + 21737/40 sin(6 t + 46/29) + 132/7 sin(8 t + 23/14) + 887/32 sin(9 t + 25/16) + 963/14 sin(13 t + 67/41) + 972/11 sin(14 t + 47/29) + 5575/77 sin(15 t + 53/33) + 382/25 sin(19 t + 47/32) + 855/44 sin(20 t + 28/17) + 701/42 sin(21 t + 33/20) + 109/23 sin(22 t + 14/3) + 197/38 sin(23 t + 43/29) + 118/37 sin(25 t + 37/38) + 272/31 sin(28 t + 44/27) + 5/23 sin(29 t + 25/26) + 195/28 sin(30 t + 47/28) + 185/24 sin(33 t + 57/37) + 103/13 sin(37 t + 46/29) + 43/9 sin(39 t + 41/26) + 257/32 sin(42 t + 51/32) + 33/13 sin(43 t + 41/30) + 67/15 sin(47 t + 31/19) + 39/14 sin(48 t + 44/25) + 88/31 sin(49 t + 30/19) + 113/68 sin(55 t + 103/69) + 1/54 sin(56 t + 197/58) + 79/24 sin(57 t + 167/100) + 287/29) θ(115 π - t) θ(t - 111 π) + (-8/25 sin(17/31 - 90 t) - 144/37 sin(29/19 - 89 t) - 102/47 sin(37/24 - 88 t) - 74/43 sin(24/17 - 87 t) - 95/17 sin(25/16 - 49 t) - 137/27 sin(16/11 - 27 t) + 21445/52 sin(t + 69/44) + 24223/27 sin(2 t + 113/24) + 23911/28 sin(3 t + 146/31) + 2675/8 sin(4 t + 64/41) + 5772/19 sin(5 t + 36/23) + 3258/17 sin(6 t + 11/7) + 5245/37 sin(7 t + 174/37) + 355/16 sin(8 t + 117/73) + 225/8 sin(9 t + 88/19) + 3255/26 sin(10 t + 11/7) + 1137/19 sin(11 t + 39/25) + 1310/21 sin(12 t + 8/5) + 943/21 sin(13 t + 29/18) + 9679/81 sin(14 t + 80/51) + 113/20 sin(15 t + 47/28) + 1342/47 sin(16 t + 86/53) + 3679/84 sin(17 t + 55/36) + 353/20 sin(18 t + 50/11) + 939/50 sin(19 t + 201/43) + 4789/82 sin(20 t + 48/31) + 2649/85 sin(21 t + 303/65) + 1753/59 sin(22 t + 36/23) + 268/29 sin(23 t + 58/39) + 55/16 sin(24 t + 82/43) + 228/37 sin(25 t + 353/235) + 8/25 sin(26 t + 49/31) + 422/25 sin(28 t + 93/20) + 211/21 sin(29 t + 38/27) + 60/41 sin(30 t + 131/29) + 162/11 sin(31 t + 65/14) + 2489/63 sin(32 t + 35/23) + 688/27 sin(33 t + 129/28) + 1447/62 sin(34 t + 55/36) + 233/26 sin(35 t + 85/57) + 259/26 sin(36 t + 95/21) + 149/10 sin(37 t + 25/17) + 235/57 sin(38 t + 50/11) + 185/38 sin(39 t + 183/41) + 125/13 sin(40 t + 68/45) + 223/31 sin(41 t + 39/25) + 61/12 sin(42 t + 355/79) + 1262/99 sin(43 t + 160/107) + 309/40 sin(44 t + 41/26) + 307/38 sin(45 t + 221/48) + 49/5 sin(46 t + 137/91) + 193/31 sin(47 t + 190/41) + 77/54 sin(48 t + 95/63) + 20/33 sin(50 t + 148/51) + 256/47 sin(51 t + 53/39) + 133/37 sin(52 t + 92/21) + 19/7 sin(53 t + 121/81) + 39/4 sin(54 t + 71/47) + 341/85 sin(55 t + 113/25) + 71/31 sin(56 t + 115/67) + 31/10 sin(57 t + 36/25) + 11/5 sin(58 t + 30/7) + 62/23 sin(59 t + 33/23) + 40/33 sin(60 t + 67/36) + 13/40 sin(61 t + 32/19) + 47/6 sin(62 t + 80/53) + 48/11 sin(63 t + 73/16) + 301/47 sin(64 t + 56/37) + 361/120 sin(65 t + 191/41) + 59/31 sin(66 t + 83/52) + 132/25 sin(67 t + 117/25) + 37/13 sin(68 t + 4/3) + 167/35 sin(69 t + 183/40) + 67/41 sin(70 t + 4/3) + 103/42 sin(71 t + 49/34) + 199/71 sin(72 t + 101/23) + 200/31 sin(73 t + 77/53) + 81/58 sin(74 t + 169/38) + 17/21 sin(75 t + 83/20) + 27/38 sin(76 t + 79/59) + 59/29 sin(77 t + 47/33) + 175/44 sin(78 t + 114/25) + 54/19 sin(79 t + 63/43) + 19/27 sin(80 t + 61/27) + 149/26 sin(81 t + 16/11) + 68/29 sin(82 t + 102/25) + 313/68 sin(83 t + 54/35) + 147/23 sin(84 t + 47/32) + 73/12 sin(85 t + 107/24) + 191/51 sin(86 t + 38/27) + 37/28 sin(91 t + 173/37) + 70/43 sin(92 t + 35/23) + 44/35 sin(93 t + 53/13) + 164/35 sin(94 t + 107/67) + 141/34 sin(95 t + 37/25) + 19/12 sin(96 t + 83/21) + 22/23 sin(97 t + 47/31) + 152/39 sin(98 t + 60/43) + 123/28 sin(99 t + 132/29) - 15137/22) θ(111 π - t) θ(t - 107 π) + (-43/40 sin(102/65 - 45 t) - 74/41 sin(25/27 - 35 t) - 47/19 sin(15/16 - 34 t) - 67/32 sin(21/25 - 33 t) - 161/39 sin(27/20 - 32 t) - 12/23 sin(17/12 - 29 t) - 29/57 sin(45/37 - 27 t) - 19/16 sin(117/88 - 25 t) - 11/36 sin(15/22 - 24 t) - 11/30 sin(33/82 - 23 t) - 43/57 sin(14/17 - 22 t) - 87/65 sin(49/41 - 21 t) - 50/21 sin(64/47 - 20 t) - 17/59 sin(56/55 - 6 t) - 56/61 sin(77/58 - 5 t) + 127/28 sin(t + 149/32) + 15/2 sin(2 t + 21/13) + 35/29 sin(3 t + 49/29) + 1/9 sin(4 t + 51/43) + 37/38 sin(7 t + 19/12) + 18/31 sin(8 t + 57/13) + 38/31 sin(9 t + 55/12) + 7/10 sin(10 t + 74/45) + 9/34 sin(11 t + 69/34) + 39/19 sin(12 t + 41/26) + 89/26 sin(13 t + 67/42) + 63/26 sin(14 t + 107/23) + 119/16 sin(15 t + 23/5) + 311/18 sin(16 t + 56/33) + 1929/386 sin(17 t + 99/50) + 79/41 sin(18 t + 64/29) + 34/41 sin(19 t + 67/35) + 16/41 sin(26 t + 49/33) + 1/34 sin(28 t + 5/14) + 36/43 sin(30 t + 193/41) + 173/42 sin(31 t + 30/19) + 15/19 sin(36 t + 31/28) + 2/19 sin(37 t + 87/43) + 22/39 sin(38 t + 33/14) + 13/23 sin(39 t + 19/6) + 21/19 sin(40 t + 1641/820) + 29/28 sin(41 t + 172/39) + 39/34 sin(42 t + 58/31) + 16/29 sin(43 t + 50/23) + 24/25 sin(44 t + 41/23) + 17/23 sin(46 t + 289/62) + 37/25 sin(47 t + 30/17) + 17/29 sin(48 t + 239/52) + 29/73 sin(49 t + 41/26) - 8044/23) θ(107 π - t) θ(t - 103 π) + (-33/29 sin(7/6 - 53 t) - 67/44 sin(62/45 - 51 t) - 32/65 sin(1/14 - 50 t) - 151/49 sin(54/41 - 49 t) - 63/38 sin(29/23 - 47 t) - 59/103 sin(14/23 - 46 t) - 11/30 sin(8/23 - 45 t) - 151/32 sin(99/79 - 44 t) - 53/26 sin(45/38 - 43 t) - 67/27 sin(38/29 - 36 t) - 113/32 sin(39/29 - 35 t) - 182/51 sin(81/58 - 33 t) - 391/65 sin(33/23 - 29 t) - 48/13 sin(31/20 - 25 t) - 59/32 sin(24/17 - 19 t) - 90/91 sin(41/33 - 18 t) - 863/54 sin(35/24 - 17 t) - 384/43 sin(73/51 - 16 t) - 149/26 sin(19/13 - 13 t) - 90/19 sin(65/43 - 12 t) + 10/29 sin(t + 47/32) + 15/17 sin(2 t + 77/45) + 300/37 sin(3 t + 62/39) + 4/13 sin(4 t + 8/5) + 7/29 sin(5 t + 109/25) + 46/27 sin(6 t + 49/30) + 39/23 sin(7 t + 30/19) + 64/47 sin(8 t + 72/43) + 19/20 sin(9 t + 63/37) + 14/5 sin(10 t + 41/25) + 37/14 sin(11 t + 27/16) + 207/28 sin(14 t + 248/149) + 288/25 sin(15 t + 58/35) + 123/52 sin(20 t + 85/46) + 194/13 sin(21 t + 17/10) + 64/13 sin(22 t + 103/22) + 335/27 sin(23 t + 31/18) + 103/18 sin(24 t + 13/7) + 83/20 sin(26 t + 117/67) + 243/52 sin(27 t + 36/19) + 1907/477 sin(28 t + 125/73) + 73/30 sin(30 t + 182/109) + 182/109 sin(31 t + 43/23) + 53/23 sin(32 t + 147/92) + 21/43 sin(34 t + 145/144) + 20/17 sin(37 t + 29/14) + 110/27 sin(38 t + 79/44) + 22/27 sin(39 t + 74/17) + 99/37 sin(40 t + 52/29) + 36/25 sin(41 t + 255/128) + 11/15 sin(42 t + 124/69) + 31/17 sin(48 t + 67/41) + 15/14 sin(52 t + 73/47) - 10105/36) θ(103 π - t) θ(t - 99 π) + (3683/48 sin(t + 74/47) + 41/26 sin(2 t + 103/22) + 149/17 sin(3 t + 85/54) + 6/13 sin(4 t + 51/11) + 112/43 sin(5 t + 11/7) + 17294/53) θ(99 π - t) θ(t - 95 π) + (-19/40 sin(29/20 - 11 t) - 289/38 sin(36/23 - 9 t) + 802/33 sin(t + 179/38) + 3002/35 sin(2 t + 85/54) + 159/41 sin(3 t + 61/39) + 1321/44 sin(4 t + 52/33) + 131/22 sin(5 t + 113/24) + 52/35 sin(6 t + 69/44) + 321/37 sin(7 t + 36/23) + 789/158 sin(8 t + 36/23) + 56/113 sin(10 t + 50/33) + 237/118 sin(12 t + 39/25) - 703/42) θ(95 π - t) θ(t - 91 π) + (-121/68 sin(25/16 - 4 t) - 55/27 sin(81/52 - 3 t) - 613/68 sin(25/16 - 2 t) - 505/19 sin(47/30 - t) + 16067/23) θ(91 π - t) θ(t - 87 π) + (-83/19 sin(47/30 - 5 t) + 56/25 sin(t + 193/41) + 35/29 sin(2 t + 146/31) + 127/25 sin(3 t + 74/47) + 143/35 sin(4 t + 63/40) + 33/50 sin(6 t + 107/68) + 17679/28) θ(87 π - t) θ(t - 83 π) + (-35/32 sin(31/20 - 11 t) - 55/48 sin(61/39 - 9 t) - 30/17 sin(50/33 - 6 t) - 247/17 sin(64/41 - 5 t) - 471/35 sin(58/37 - 3 t) + 405/23 sin(t + 41/26) + 829/69 sin(2 t + 11/7) + 279/17 sin(4 t + 30/19) + 185/27 sin(7 t + 93/58) + 92/25 sin(8 t + 43/27) + 1/17 sin(10 t + 56/31) + 64/35 sin(12 t + 37/23) + 3306/17) θ(83 π - t) θ(t - 79 π) + (-143/24 sin(36/23 - t) + 9/22 sin(2 t + 47/10) + 31/42 sin(3 t + 28/17) + 1287/103 sin(4 t + 30/19) + 626/51 sin(5 t + 41/26) + 173/31 sin(6 t + 113/24) + 138/19 sin(7 t + 19/12) + 15/4 sin(8 t + 27/17) + 39/34 sin(9 t + 8/5) + 11/18 sin(10 t + 202/43) + 23/25 sin(11 t + 71/44) + 133/34 sin(12 t + 27/17) + 19064/89) θ(79 π - t) θ(t - 75 π) + (-69/38 sin(44/29 - 19 t) - 49/17 sin(119/79 - 16 t) - 65/23 sin(83/55 - 11 t) - 149/35 sin(32/21 - 10 t) - 311/56 sin(14/9 - 8 t) - 83/40 sin(20/13 - 7 t) - 35/6 sin(57/37 - 6 t) - 55/19 sin(57/37 - 5 t) - 93/19 sin(39/25 - 4 t) - 87/8 sin(39/25 - 3 t) - 517/30 sin(25/16 - 2 t) + 387/28 sin(t + 91/58) + 68/33 sin(9 t + 27/17) + 67/34 sin(12 t + 76/47) + 13/20 sin(13 t + 45/26) + 2/25 sin(14 t + 127/28) + 131/56 sin(15 t + 61/38) + 62/29 sin(17 t + 188/113) + 26/37 sin(18 t + 77/46) + 8/33 sin(20 t + 43/38) + 5327/11) θ(75 π - t) θ(t - 71 π) + (-21/23 sin(98/65 - 16 t) - 22/23 sin(47/30 - 9 t) - 13/19 sin(25/16 - 7 t) + 28/57 sin(t + 87/56) + 1265/47 sin(2 t + 179/38) + 223/20 sin(3 t + 11/7) + 227/19 sin(4 t + 179/38) + 45/22 sin(5 t + 11/7) + 188/53 sin(6 t + 127/27) + 116/35 sin(8 t + 179/38) + 19/12 sin(10 t + 27/17) + 8/11 sin(11 t + 19/12) + 29/13 sin(12 t + 179/38) + 69/43 sin(13 t + 25/16) + 277/278 sin(14 t + 107/23) + 31/27 sin(15 t + 127/27) + 63/22 sin(17 t + 155/33) + 13/19 sin(18 t + 43/27) + 107/89 sin(19 t + 103/22) + 13/12 sin(20 t + 61/13) + 22/17 sin(21 t + 39/25) + 8121/16) θ(71 π - t) θ(t - 67 π) + (-89/18 sin(68/45 - 23 t) - 27/17 sin(26/17 - 20 t) - 109/39 sin(73/47 - 18 t) - 142/57 sin(26/17 - 17 t) - 146/27 sin(45/29 - 14 t) - 43/9 sin(31/20 - 13 t) - 164/33 sin(95/61 - 12 t) - 91/34 sin(43/28 - 11 t) - 30/19 sin(29/19 - 9 t) - 55/17 sin(59/38 - 8 t) - 183/29 sin(64/41 - 6 t) - 137/25 sin(53/34 - 5 t) - 124/19 sin(36/23 - 4 t) - 655/44 sin(47/30 - 2 t) - 472/13 sin(58/37 - t) + 43/57 sin(3 t + 70/43) + 41/12 sin(7 t + 85/54) + 29/115 sin(10 t + 38/23) + 27/7 sin(15 t + 19/12) + 21/20 sin(16 t + 36/23) + 26/51 sin(19 t + 36/23) + 2/31 sin(21 t + 67/42) + 59/26 sin(22 t + 31/19) + 8662/25) θ(67 π - t) θ(t - 63 π) + (-40/27 sin(86/57 - 24 t) - 5/33 sin(4/15 - 23 t) - 107/27 sin(57/37 - 22 t) - 163/12 sin(37/24 - 18 t) - 80/43 sin(73/47 - 15 t) - 245/57 sin(31/20 - 13 t) - 22/29 sin(43/28 - 10 t) - 99/20 sin(59/38 - 8 t) - 18/11 sin(59/38 - 7 t) - 35/16 sin(58/37 - 6 t) - 81/161 sin(41/28 - 3 t) - 271/13 sin(58/37 - 2 t) + 148/7 sin(t + 85/54) + 98/25 sin(4 t + 146/31) + 67/24 sin(5 t + 30/19) + 8/25 sin(9 t + 179/38) + 5/9 sin(11 t + 131/28) + 46/51 sin(12 t + 32/21) + 108/31 sin(14 t + 69/43) + 149/29 sin(16 t + 45/28) + 59/15 sin(17 t + 46/29) + 134/21 sin(19 t + 125/78) + 158/27 sin(20 t + 44/27) + 35/29 sin(21 t + 31/19) + 9838/25) θ(63 π - t) θ(t - 59 π) + (-385/16 sin(47/30 - 3 t) - 21082/91 sin(69/44 - t) + 21/13 sin(2 t + 8/5) - 31214/91) θ(59 π - t) θ(t - 55 π) + (-860/41 sin(39/25 - 3 t) - 5675/26 sin(69/44 - t) + 265/43 sin(2 t + 46/29) - 33516/73) θ(55 π - t) θ(t - 51 π) + (-621/28 sin(36/23 - 3 t) - 244/31 sin(91/58 - 2 t) - 4739/19 sin(102/65 - t) - 20129/76) θ(51 π - t) θ(t - 47 π) + (-504/31 sin(25/16 - 2 t) - 6167/31 sin(80/51 - t) - 4810/29) θ(47 π - t) θ(t - 43 π) + (-1/14 sin(9/11 - 12 t) - 21/41 sin(29/25 - 11 t) - 7/10 sin(48/35 - 9 t) + 157/25 sin(t + 118/41) + 92/41 sin(2 t + 110/39) + 571/84 sin(3 t + 101/23) + 146/37 sin(4 t + 211/48) + 71/34 sin(5 t + 45/26) + 7/31 sin(6 t + 4/3) + 7/13 sin(7 t + 44/25) + 9/11 sin(8 t + 37/53) + 12/29 sin(10 t + 31/18) + 16173/50) θ(43 π - t) θ(t - 39 π) + (-25/29 sin(1/110 - 10 t) - 81/71 sin(11/29 - 6 t) - 101/19 sin(16/49 - 4 t) - 81/19 sin(11/43 - 3 t) + 167/43 sin(t + 175/41) + 181/37 sin(2 t + 58/17) + 6/5 sin(5 t + 61/14) + 25/22 sin(7 t + 3) + 37/30 sin(8 t + 1/25) + 31/40 sin(9 t + 61/22) + 9/35 sin(11 t + 103/30) + 14/19 sin(12 t + 1/10) + 8453/25) θ(39 π - t) θ(t - 35 π) + (-151/36 sin(17/23 - 3 t) - 331/12 sin(8/31 - t) + 184/47 sin(2 t + 160/39) + 324) θ(35 π - t) θ(t - 31 π) + (-50/19 sin(6/17 - 3 t) - 1333/36 sin(1/5 - t) + 23/19 sin(2 t + 23/9) + 29/36 sin(4 t + 67/24) + 13271/39) θ(31 π - t) θ(t - 27 π) + (-119/22 sin(27/19 - 2 t) + 1265/36 sin(t + 4/29) + 98/15 sin(3 t + 3/5) + 89/48 sin(4 t + 142/31) + 55/19 sin(5 t + 32/37) + 16/17 sin(6 t + 89/25) + 21/16 sin(7 t + 23/40) + 8/13 sin(8 t + 37/12) + 10562/33) θ(27 π - t) θ(t - 23 π) + (-71/46 sin(1/11 - 7 t) - 115/64 sin(5/19 - 5 t) - 11/28 sin(16/25 - 4 t) - 44/17 sin(33/43 - 3 t) - 1265/29 sin(2/13 - t) + 59/16 sin(2 t + 211/53) + 12/25 sin(6 t + 57/20) + 26/51 sin(8 t + 65/17) + 11467/34) θ(23 π - t) θ(t - 19 π) + (-23/41 sin(81/58 - 5 t) + 4367/48 sin(t + 111/38) + 49/16 sin(2 t + 173/39) + 134/45 sin(3 t + 70/29) + 64/37 sin(4 t + 41/17) + 21/46 sin(6 t + 29/13) + 10/19 sin(7 t + 53/37) + 10855/34) θ(19 π - t) θ(t - 15 π) + (-127/13 sin(7/18 - 3 t) + 2713/29 sin(t + 2/37) + 101/13 sin(2 t + 203/45) + 89/34 sin(4 t + 73/17) + 26/15 sin(5 t + 26/41) + 2/9 sin(6 t + 177/50) + 35/71 sin(7 t + 66/31) + 10805/33) θ(15 π - t) θ(t - 11 π) + (-20/23 sin(38/29 - 11 t) - 31/18 sin(46/37 - 9 t) - 497/108 sin(9/16 - 5 t) - 2375/26 sin(3/29 - t) + 970/41 sin(2 t + 35/32) + 1011/92 sin(3 t + 7/38) + 131/27 sin(4 t + 91/90) + 24/71 sin(6 t + 34/37) + 90/29 sin(7 t + 14/23) + 21/16 sin(8 t + 25/12) + 21/38 sin(10 t + 89/19) + 7/27 sin(12 t + 68/15) - 10719/37) θ(11 π - t) θ(t - 7 π) + (-11/37 sin(4/7 - 6 t) - 299/56 sin(24/19 - 5 t) - 499/38 sin(5/44 - 3 t) - 6150/37 sin(12/59 - t) + 1019/38 sin(2 t + 28/37) + 183/53 sin(4 t + 85/71) + 95/43 sin(7 t + 169/38) + 29/27 sin(8 t + 111/40) + 21/22 sin(9 t + 16/29) + 194/83 sin(10 t + 164/57) + 31/30 sin(11 t + 1/53) + 17/31 sin(12 t + 77/29) - 24819/82) θ(7 π - t) θ(t - 3 π) + (-14/13 sin(4/45 - 10 t) - 229/26 sin(16/23 - 7 t) - 222/17 sin(28/23 - 5 t) - 851/29 sin(10/51 - 3 t) - 12070/13 sin(12/11 - t) + 270/31 sin(2 t + 62/15) + 53/7 sin(4 t + 400/87) + 59/10 sin(6 t + 12/13) + 141/31 sin(8 t + 30/17) + 79/40 sin(9 t + 121/26) + 5838/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

レオナルド・ウィルヘルム・ディカプリオ（Leonardo Wilhelm DiCaprio)

数式の読み込みに失敗

マイケル・ジョセフ・ジャクソン（Michael Joseph Jackson)

x(t) = ((728/115 sin(t + 47/33) + 328/35 sin(2 t + 33/23) + 47/37 sin(3 t + 30/59) + 19920/61) θ(111 π - t) θ(t - 107 π) + (-9/17 sin(55/36 - 10 t) - 121/21 sin(49/32 - 9 t) - 66/17 sin(31/20 - 8 t) - 3653/29 sin(69/44 - t) + 7761/67 sin(2 t + 41/26) + 525/26 sin(3 t + 65/41) + 1074/113 sin(4 t + 46/29) + 113/13 sin(5 t + 59/37) + 287/18 sin(6 t + 51/32) + 213/25 sin(7 t + 35/22) + 219/41 sin(11 t + 45/28) + 154/37 sin(12 t + 50/31) + 248/3) θ(107 π - t) θ(t - 103 π) + (-37/35 sin(14/9 - 12 t) - 21/32 sin(31/20 - 11 t) - 6/7 sin(69/44 - 9 t) - 100/23 sin(36/23 - 5 t) + 67/18 sin(t + 41/26) + 462/31 sin(2 t + 41/26) + 215/34 sin(3 t + 49/31) + 116/35 sin(4 t + 65/41) + 31/16 sin(6 t + 46/29) + 11/39 sin(7 t + 31/19) + 35/27 sin(8 t + 59/37) + 43/34 sin(10 t + 46/29) - 4267/27) θ(103 π - t) θ(t - 99 π) + (-262/43 sin(29/19 - 11 t) - 892/297 sin(52/35 - 10 t) - 490/57 sin(26/17 - 9 t) - 186/25 sin(37/24 - 8 t) - 449/66 sin(11/7 - 6 t) - 384/49 sin(31/20 - 4 t) + 1181/12 sin(t + 41/26) + 1673/30 sin(2 t + 49/31) + 283/22 sin(3 t + 63/40) + 336/25 sin(5 t + 68/43) + 152/29 sin(7 t + 8/5) + 83/28 sin(12 t + 52/33) + 40/29 sin(13 t + 22/13) + 245/29 sin(14 t + 21/13) + 51/40 sin(15 t + 83/51) + 52/15 sin(16 t + 46/29) + 71/23 sin(17 t + 34/21) + 118/31 sin(18 t + 18/11) + 231/47 sin(19 t + 38/23) - 6655/57) θ(99 π - t) θ(t - 95 π) + (-91/23 sin(39/25 - 18 t) - 161/30 sin(61/39 - 13 t) - 73/25 sin(58/39 - 12 t) - 81/40 sin(38/25 - 11 t) - 139/37 sin(69/44 - 10 t) - 199/23 sin(36/23 - 8 t) - 931/22 sin(39/25 - 6 t) - 449/17 sin(39/25 - 5 t) + 2741/30 sin(t + 212/45) + 485/24 sin(2 t + 107/68) + 1616/31 sin(3 t + 52/33) + 3/17 sin(4 t + 76/65) + 104/37 sin(7 t + 42/29) + 135/22 sin(9 t + 52/33) + 141/44 sin(14 t + 107/68) + 211/55 sin(15 t + 29/18) + 8/17 sin(16 t + 37/22) + 17/37 sin(17 t + 73/52) + 10668/23) θ(95 π - t) θ(t - 91 π) + (-12/41 sin(87/56 - 12 t) - 5/31 sin(19/13 - 10 t) - 1687/34 sin(80/51 - 2 t) + 11597/43 sin(t + 80/51) + 78/23 sin(3 t + 201/43) + 100/9 sin(4 t + 127/27) + 17/20 sin(5 t + 125/27) + 158/31 sin(6 t + 14/9) + 81/22 sin(7 t + 23/15) + 274/73 sin(8 t + 81/52) + 16/35 sin(9 t + 49/31) + 14/25 sin(11 t + 187/40) + 21037/26) θ(91 π - t) θ(t - 87 π) + (2915/62 sin(t + 146/31) + 251/41 sin(2 t + 155/33) + 168/29 sin(3 t + 80/17) + 47/9 sin(4 t + 108/23) + 54/37 sin(5 t + 229/49) + 67/25 sin(6 t + 113/24) + 5/3 sin(7 t + 131/28) + 35/31 sin(8 t + 192/41) + 13/51 sin(9 t + 23/15) + 2/29 sin(10 t + 361/82) + 13/20 sin(11 t + 243/52) + 5/16 sin(12 t + 117/25) - 25316/37) θ(87 π - t) θ(t - 83 π) + (-1854/37 sin(36/23 - 3 t) - 12410/41 sin(58/37 - t) + 1291/25 sin(2 t + 25/16) + 181/33 sin(4 t + 61/39) + 25/28 sin(5 t + 155/33) + 147/17 sin(6 t + 46/29) + 148/25 sin(7 t + 113/24) + 187/38 sin(8 t + 19/12) - 17608/27) θ(83 π - t) θ(t - 79 π) + (-281/51 sin(47/30 - 3 t) - 38/51 sin(41/27 - 2 t) - 937/21 sin(80/51 - t) + 4769/20) θ(79 π - t) θ(t - 75 π) + (-113/42 sin(56/37 - 42 t) - 55/18 sin(115/77 - 41 t) - 29/34 sin(48/31 - 40 t) - 101/35 sin(31/20 - 36 t) - 114/49 sin(26/17 - 35 t) - 138/83 sin(37/24 - 33 t) - 49/11 sin(39/25 - 29 t) - 7/20 sin(49/43 - 28 t) - 79/78 sin(31/22 - 21 t) - 314/37 sin(58/37 - 20 t) - 5/13 sin(48/31 - 17 t) - 234/25 sin(25/16 - 10 t) - 1072/31 sin(80/51 - 8 t) - 701/37 sin(47/30 - 5 t) - 2149/23 sin(69/44 - 2 t) + 783/56 sin(t + 85/54) + 28/17 sin(3 t + 53/32) + 100/21 sin(4 t + 45/28) + 629/19 sin(6 t + 146/31) + 1106/75 sin(7 t + 30/19) + 44/17 sin(9 t + 39/25) + 32/19 sin(11 t + 43/28) + 821/67 sin(12 t + 47/30) + 1/21 sin(13 t + 196/45) + 1259/64 sin(14 t + 69/44) + 106/19 sin(15 t + 21/13) + 214/15 sin(16 t + 61/39) + 283/101 sin(18 t + 39/25) + 17/27 sin(19 t + 62/45) + 252/41 sin(22 t + 108/23) + 49/20 sin(23 t + 63/40) + 51/40 sin(24 t + 116/25) + 41/55 sin(25 t + 46/29) + 91/58 sin(26 t + 74/47) + 131/82 sin(27 t + 55/34) + 71/30 sin(30 t + 37/24) + 130/41 sin(31 t + 49/30) + 50/83 sin(32 t + 108/23) + 32/23 sin(34 t + 37/23) + 12/5 sin(37 t + 41/26) + 39/35 sin(38 t + 79/46) + 83/31 sin(39 t + 41/25) + 5/27 sin(43 t + 83/42) + 27925/63) θ(75 π - t) θ(t - 71 π) + (-325/43 sin(35/23 - 20 t) - 344/55 sin(81/56 - 18 t) - 204/29 sin(38/27 - 17 t) - 149/39 sin(50/37 - 16 t) - 167/31 sin(3/2 - 15 t) - 743/40 sin(80/53 - 13 t) - 477/29 sin(50/33 - 11 t) - 249/25 sin(48/31 - 7 t) - 913/43 sin(37/24 - 5 t) - 543/38 sin(63/41 - 4 t) + 678/47 sin(t + 36/23) + 155/23 sin(2 t + 425/91) + 877/19 sin(3 t + 35/22) + 423/40 sin(6 t + 74/47) + 23/61 sin(8 t + 22/19) + 87/28 sin(9 t + 49/29) + 295/77 sin(10 t + 52/33) + 345/38 sin(12 t + 31/20) + 113/25 sin(14 t + 47/31) + 154/27 sin(19 t + 34/21) + 124/15 sin(21 t + 257/154) - 3642/23) θ(71 π - t) θ(t - 67 π) + (-63/32 sin(23/15 - 12 t) - 27/67 sin(35/23 - 6 t) - 123/38 sin(66/43 - 4 t) - 359/35 sin(59/38 - 3 t) - 194/65 sin(17/11 - 2 t) + 303/16 sin(t + 11/7) + 11/21 sin(5 t + 42/29) + 5/39 sin(7 t + 63/40) + 1/23 sin(8 t + 79/21) + 7/20 sin(9 t + 113/24) + 5/22 sin(10 t + 29/17) + 11/7 sin(11 t + 53/33) - 454/19) θ(67 π - t) θ(t - 63 π) + (-21/8 sin(47/30 - 7 t) - 55/83 sin(39/25 - 3 t) - 83/12 sin(102/65 - 2 t) + 267/31 sin(t + 11/7) + 109/34 sin(4 t + 63/40) + 61/51 sin(5 t + 46/29) + 79/22 sin(6 t + 107/68) + 17/60 sin(8 t + 65/41) + 60/43 sin(9 t + 74/47) + 16/37 sin(10 t + 27/17) + 57/71 sin(11 t + 245/52) + 25/27 sin(12 t + 11/7) + 16/53 sin(13 t + 123/77) + 1/19 sin(14 t + 117/25) - 4132/47) θ(63 π - t) θ(t - 59 π) + (-3/25 sin(39/25 - 12 t) - 6/37 sin(80/51 - 10 t) - 9/19 sin(11/7 - 6 t) - 3/32 sin(14/9 - 5 t) - 73/55 sin(58/37 - 4 t) - 22/23 sin(47/30 - 3 t) - 12/5 sin(69/44 - 2 t) - 26/15 sin(80/51 - t) + 7/27 sin(7 t + 41/26) + 4/23 sin(8 t + 80/17) + 7/45 sin(9 t + 41/26) - 1536/29) θ(59 π - t) θ(t - 55 π) + (8026/121 sin(t + 41/26) + 70/33 sin(2 t + 63/34) + 254/33 sin(3 t + 148/89) + 33/28 sin(4 t + 91/41) + 53/20 sin(5 t + 85/46) - 1252/31) θ(55 π - t) θ(t - 51 π) + (-113/41 sin(25/16 - 12 t) - 177/31 sin(17/11 - 11 t) - 147/20 sin(25/16 - 10 t) - 202/25 sin(29/19 - 8 t) - 502/17 sin(69/44 - 7 t) + 9041/18 sin(t + 80/51) + 515/6 sin(2 t + 41/26) + 3229/56 sin(3 t + 249/53) + 883/29 sin(4 t + 81/52) + 1186/23 sin(5 t + 80/17) + 72/25 sin(6 t + 101/72) + 473/35 sin(9 t + 127/27) + 3128/21) θ(51 π - t) θ(t - 47 π) + (2287/9 sin(t + 41/26) + 241/47 sin(2 t + 67/41) + 878/37 sin(3 t + 19/12) + 174/67 sin(4 t + 137/82) + 196/25 sin(5 t + 67/42) + 96/29 sin(6 t + 18/11) + 180/47 sin(7 t + 99/61) + 4557/17) θ(47 π - t) θ(t - 43 π) + (242/43 sin(t + 102/35) + 1633/20 sin(2 t + 301/67) + 40/11 sin(3 t + 109/40) + 256/27 sin(4 t + 59/14) + 20/31 sin(5 t + 95/36) + 43/12 sin(6 t + 67/16) + 2 sin(7 t + 59/31) + 128/29 sin(8 t + 34/9) + 37/52 sin(9 t + 71/27) + 40/53 sin(10 t + 89/23) + 3347/23) θ(43 π - t) θ(t - 39 π) + (-7/45 sin(40/31 - 12 t) - 87/43 sin(48/35 - 4 t) + 153/31 sin(t + 170/43) + 1046/33 sin(2 t + 133/30) + 19/6 sin(3 t + 53/30) + 39/32 sin(5 t + 583/146) + 23/8 sin(6 t + 75/19) + 22/23 sin(7 t + 85/43) + 17/19 sin(8 t + 136/33) + 17/30 sin(9 t + 114/41) + 43/54 sin(10 t + 141/43) + 16/25 sin(11 t + 35/27) - 9308/83) θ(39 π - t) θ(t - 35 π) + (-26/17 sin(19/36 - 15 t) - 121/30 sin(39/34 - 12 t) - 146/25 sin(17/13 - 9 t) - 149/38 sin(3/37 - 7 t) - 355/26 sin(46/35 - 6 t) + 786/37 sin(t + 7/26) + 527/46 sin(2 t + 224/61) + 39/16 sin(3 t + 17/16) + 122/27 sin(4 t + 1/5) + 121/32 sin(5 t + 13/41) + 86/45 sin(8 t + 41/36) + 33/26 sin(10 t + 7/6) + 52/27 sin(11 t + 34/39) + 81/52 sin(13 t + 27/23) + 32/23 sin(14 t + 43/41) + 31/33 sin(16 t + 59/27) + 43/23 sin(17 t + 79/59) + 4150/27) θ(35 π - t) θ(t - 31 π) + (-5/19 sin(3/25 - 6 t) - 11/29 sin(38/27 - 5 t) - 39/59 sin(21/40 - 4 t) - 215/36 sin(20/31 - 2 t) + 64/37 sin(t + 73/19) + 14/23 sin(3 t + 101/33) + 3/19 sin(7 t + 52/17) - 2815/22) θ(31 π - t) θ(t - 27 π) + (-1/6 sin(13/19 - 7 t) - 3/20 sin(69/52 - 5 t) - 83/22 sin(15/14 - 2 t) + 81/56 sin(t + 1/13) + 11/28 sin(3 t + 19/16) + 11/35 sin(4 t + 61/21) + 1/4 sin(6 t + 106/31) + 1/24 sin(8 t + 96/29) + 2857/32) θ(27 π - t) θ(t - 23 π) + (833/38 sin(t + 43/54) - 3267/26) θ(23 π - t) θ(t - 19 π) + (403/21 sin(t + 13/10) + 3/11 sin(2 t + 10/27) + 4207/46) θ(19 π - t) θ(t - 15 π) + (-42/41 sin(37/41 - 6 t) - 38/29 sin(36/29 - 4 t) - 13/12 sin(32/27 - 2 t) + 32491/570 sin(t + 61/34) + 71/14 sin(3 t + 93/40) + 14/9 sin(5 t + 187/70) + 31/47 sin(7 t + 65/23) + 6152/55) θ(15 π - t) θ(t - 11 π) + (-16/27 sin(15/46 - 8 t) - 41/35 sin(27/28 - 6 t) + 3085/83 sin(t + 93/46) + 28/33 sin(2 t + 121/28) + 131/49 sin(3 t + 75/22) + 46/39 sin(4 t + 69/16) + 13/77 sin(5 t + 109/33) + 6/17 sin(7 t + 57/28) + 5/14 sin(9 t + 117/58) - 2527/22) θ(11 π - t) θ(t - 7 π) + (-17/20 sin(43/39 - 10 t) - 19/17 sin(12/29 - 8 t) - 56/43 sin(5/51 - 4 t) - 17/15 sin(61/55 - 2 t) + 2633/35 sin(t + 34/25) + 187/31 sin(3 t + 21/19) + 74/29 sin(5 t + 36/43) + 13/10 sin(6 t + 1/362) + 46/37 sin(7 t + 5/7) + 11/15 sin(9 t + 7/13) - 4007/102) θ(7 π - t) θ(t - 3 π) + (-205/32 sin(49/50 - 10 t) - 678/31 sin(13/15 - 2 t) + 14447/43 sin(t + 58/37) + 907/26 sin(3 t + 102/37) + 1162/75 sin(4 t + 218/51) + 601/39 sin(5 t + 74/29) + 63/13 sin(6 t + 126/41) + 40/119 sin(7 t + 27/26) + 459/73 sin(8 t + 9/50) + 348/107 sin(9 t + 148/35) + 50/23 sin(11 t + 125/37) + 117/44 sin(12 t + 145/43) + 7598/25) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((14819/130 sin(t + 14/3) + 103/19 sin(2 t + 98/33) + 257/29 sin(3 t + 127/28) - 11553/25) θ(111 π - t) θ(t - 107 π) + (-323/101 sin(140/93 - 12 t) - 111/29 sin(20/13 - 11 t) - 273/34 sin(17/11 - 7 t) - 9/13 sin(25/17 - 6 t) - 369/46 sin(53/34 - 5 t) - 1638/31 sin(58/37 - t) + 1243/29 sin(2 t + 41/26) + 95/39 sin(3 t + 103/22) + 561/26 sin(4 t + 19/12) + 212/27 sin(8 t + 99/62) + 17/4 sin(9 t + 71/44) + 113/25 sin(10 t + 45/28) - 16497/49) θ(107 π - t) θ(t - 103 π) + (-69/29 sin(48/31 - 11 t) - 50/41 sin(55/36 - 9 t) - 78/41 sin(57/37 - 8 t) - 44/25 sin(44/29 - 7 t) - 269/27 sin(14/9 - 5 t) - 489/29 sin(39/25 - 3 t) - 161/17 sin(73/47 - 2 t) - 4391/29 sin(69/44 - t) + 96/29 sin(4 t + 53/34) + 6/17 sin(6 t + 36/25) + 18/55 sin(10 t + 313/209) + 3/5 sin(12 t + 49/32) - 533/76) θ(103 π - t) θ(t - 99 π) + (-32/7 sin(59/39 - 16 t) - 59/31 sin(44/29 - 15 t) - 10/31 sin(11/10 - 14 t) - 353/31 sin(17/11 - 13 t) - 116/37 sin(58/39 - 10 t) - 587/26 sin(37/24 - 9 t) - 503/43 sin(25/16 - 7 t) - 1006/27 sin(82/53 - 4 t) - 1772/11 sin(53/34 - 3 t) + 903/16 sin(t + 146/31) + 854/31 sin(2 t + 41/26) + 915/22 sin(5 t + 91/57) + 38/5 sin(6 t + 44/27) + 297/38 sin(8 t + 67/43) + 205/24 sin(11 t + 202/43) + 149/12 sin(12 t + 50/31) + 37/34 sin(17 t + 58/33) + 2/7 sin(18 t + 58/25) + 83/51 sin(19 t + 49/30) - 14559/26) θ(99 π - t) θ(t - 95 π) + (-18/37 sin(43/28 - 17 t) - 49/38 sin(104/69 - 16 t) + 70/17 sin(t + 217/47) + 5638/31 sin(2 t + 85/54) + 249/20 sin(3 t + 57/35) + 1127/13 sin(4 t + 63/40) + 685/39 sin(5 t + 179/38) + 1312/75 sin(6 t + 221/47) + 809/41 sin(7 t + 11/7) + 635/29 sin(8 t + 46/29) + 157/10 sin(9 t + 127/27) + 201/29 sin(10 t + 19/12) + 339/97 sin(11 t + 64/41) + 155/41 sin(12 t + 159/34) + 140/29 sin(13 t + 21/13) + 64/7 sin(14 t + 19/12) + 107/38 sin(15 t + 103/22) + 107/24 sin(18 t + 101/63) - 18292/31) θ(95 π - t) θ(t - 91 π) + (4361/27 sin(t + 146/31) + 1003/19 sin(2 t + 127/27) + 981/25 sin(3 t + 80/17) + 3/5 sin(4 t + 197/45) + 741/32 sin(5 t + 113/24) + 93/14 sin(6 t + 19/12) + 99/14 sin(7 t + 245/52) + 69/40 sin(8 t + 157/98) + 75/14 sin(9 t + 80/17) + 20/31 sin(10 t + 178/39) + 93/22 sin(11 t + 169/36) + 67/100 sin(12 t + 51/11) - 4330/9) θ(91 π - t) θ(t - 87 π) + (-8/5 sin(31/20 - 7 t) + 4201/30 sin(t + 179/38) + 2380/61 sin(2 t + 11/7) + 199/20 sin(3 t + 23/15) + 598/27 sin(4 t + 36/23) + 37/7 sin(5 t + 20/13) + 332/51 sin(6 t + 17/11) + 4/19 sin(8 t + 28/13) + 94/35 sin(9 t + 113/24) + 9/16 sin(10 t + 35/22) + 9/41 sin(11 t + 54/35) + 19/9 sin(12 t + 283/189) - 19963/31) θ(87 π - t) θ(t - 83 π) + (-123/23 sin(39/25 - 8 t) - 357/37 sin(71/46 - 6 t) - 331/25 sin(48/31 - 5 t) - 1256/251 sin(53/34 - 4 t) - 1792/27 sin(39/25 - 2 t) - 5893/25 sin(47/30 - t) + 362/39 sin(3 t + 39/25) + 21/5 sin(7 t + 11/7) - 6931/15) θ(83 π - t) θ(t - 79 π) + (-212/27 sin(47/30 - 3 t) - 1564/21 sin(80/51 - t) + 25/34 sin(2 t + 73/49) - 10495/21) θ(79 π - t) θ(t - 75 π) + (-14/33 sin(45/34 - 43 t) - 35/12 sin(23/15 - 40 t) - 222/31 sin(49/32 - 39 t) - 144/13 sin(63/41 - 38 t) - 411/35 sin(17/11 - 31 t) - 5721/572 sin(48/31 - 30 t) - 42/25 sin(101/67 - 25 t) - 152/87 sin(55/36 - 23 t) - 86/9 sin(20/13 - 21 t) - 1111/127 sin(23/15 - 19 t) - 410/87 sin(23/15 - 15 t) - 258/17 sin(14/9 - 11 t) - 79/2 sin(69/44 - 8 t) - 745/26 sin(47/30 - 6 t) + 947/34 sin(t + 11/7) + 1579/31 sin(2 t + 36/23) + 1313/43 sin(3 t + 113/24) + 1619/15 sin(4 t + 11/7) + 37/3 sin(5 t + 63/40) + 637/36 sin(7 t + 47/30) + 32/13 sin(9 t + 37/24) + 470/23 sin(10 t + 212/45) + 253/19 sin(12 t + 115/72) + 118/37 sin(13 t + 146/31) + 633/50 sin(14 t + 11/7) + 198/13 sin(16 t + 47/30) + 43/21 sin(17 t + 118/75) + 239/33 sin(18 t + 59/38) + 177/11 sin(20 t + 27/17) + 136/21 sin(22 t + 123/77) + 334/89 sin(24 t + 89/19) + 11/26 sin(26 t + 103/24) + 61/8 sin(27 t + 179/38) + 9/4 sin(28 t + 40/23) + 39/98 sin(29 t + 47/27) + 11/37 sin(32 t + 31/16) + 40/121 sin(33 t + 43/23) + 101/14 sin(34 t + 127/27) + 24/29 sin(35 t + 11/6) + 364/59 sin(36 t + 58/35) + 120/31 sin(37 t + 61/13) + 151/38 sin(41 t + 61/36) + 45/23 sin(42 t + 63/37) - 1499/13) θ(75 π - t) θ(t - 71 π) + (-72/17 sin(40/31 - 21 t) - 237/23 sin(84/61 - 20 t) - 43/7 sin(31/22 - 19 t) - 499/33 sin(41/27 - 9 t) - 17/5 sin(36/25 - 6 t) - 941/29 sin(65/42 - 5 t) - 976/19 sin(81/52 - 3 t) - 317/18 sin(55/36 - 2 t) + 40/7 sin(t + 35/22) + 1683/35 sin(4 t + 27/17) + 241/14 sin(7 t + 59/36) + 153/22 sin(8 t + 34/21) + 207/14 sin(10 t + 83/51) + 282/25 sin(11 t + 53/31) + 83/43 sin(12 t + 37/22) + 138/41 sin(13 t + 43/24) + 794/35 sin(14 t + 56/33) + 829/65 sin(15 t + 149/85) + 177/19 sin(16 t + 17/10) + 193/26 sin(17 t + 41/23) + 457/43 sin(18 t + 77/45) - 6876/25) θ(71 π - t) θ(t - 67 π) + (-51/47 sin(23/15 - 11 t) - 76/29 sin(31/20 - 5 t) + 356/29 sin(t + 46/29) + 449/29 sin(2 t + 62/39) + 1413/163 sin(3 t + 75/47) + 15/31 sin(4 t + 75/44) + 3/2 sin(6 t + 19/12) + 88/35 sin(7 t + 45/28) + 4/23 sin(8 t + 276/65) + 16/21 sin(9 t + 27/16) + 97/54 sin(10 t + 44/27) + 5/7 sin(12 t + 66/41) - 3060/29) θ(67 π - t) θ(t - 63 π) + (-21/106 sin(14/9 - 14 t) - 34/79 sin(25/16 - 9 t) - 9/14 sin(11/7 - 8 t) - 47/18 sin(69/44 - 5 t) + 131/11 sin(t + 96/61) + 553/26 sin(2 t + 107/68) + 45/29 sin(3 t + 68/43) + 75/16 sin(4 t + 96/61) + 289/145 sin(6 t + 41/26) + 36/19 sin(7 t + 52/33) + 88/89 sin(10 t + 11/7) + 1/69 sin(11 t + 76/37) + 7/39 sin(12 t + 37/23) + 5/8 sin(13 t + 69/44) - 2003/20) θ(63 π - t) θ(t - 59 π) + (-2/9 sin(25/16 - 11 t) - 1/119 sin(29/22 - 8 t) - 83/28 sin(80/51 - 3 t) - 313/10 sin(80/51 - t) + 23/42 sin(2 t + 91/58) + 8/29 sin(4 t + 61/39) + 48/49 sin(5 t + 146/31) + 2/33 sin(6 t + 32/21) + 15/28 sin(7 t + 113/24) + 43/128 sin(9 t + 179/38) + 1/556 sin(10 t + 54/41) + 1/186 sin(12 t + 123/77) + 942/29) θ(59 π - t) θ(t - 55 π) + (-29/21 sin(36/23 - 5 t) - 31/29 sin(80/51 - 3 t) - 667/80 sin(69/44 - t) + 77/24 sin(2 t + 11/7) + 37/28 sin(4 t + 30/19) - 5201/24) θ(55 π - t) θ(t - 51 π) + (-12/11 sin(49/34 - 12 t) - 173/99 sin(71/46 - 10 t) + 10091/50 sin(t + 146/31) + 25987/292 sin(2 t + 36/23) + 53/41 sin(3 t + 23/5) + 481/34 sin(4 t + 35/22) + 823/29 sin(5 t + 36/23) + 14/33 sin(6 t + 41/11) + 369/17 sin(7 t + 47/30) + 43/17 sin(8 t + 139/30) + 272/25 sin(9 t + 25/16) + 26/21 sin(11 t + 19/12) + 5478/31) θ(51 π - t) θ(t - 47 π) + (-180/37 sin(58/37 - 5 t) - 670/43 sin(25/16 - 3 t) - 8599/76 sin(36/23 - t) + 111/13 sin(2 t + 36/23) + 243/53 sin(4 t + 25/16) + 139/25 sin(6 t + 27/17) + 12/11 sin(7 t + 135/29) + 8871/31) θ(47 π - t) θ(t - 43 π) + (-58/27 sin(6/35 - 10 t) - 109/26 sin(39/34 - t) + 822/35 sin(2 t + 45/38) + 35/69 sin(3 t + 93/44) + 255/16 sin(4 t + 109/26) + 15/19 sin(5 t + 21/5) + 118/19 sin(6 t + 31/45) + 23/27 sin(7 t + 3/17) + 167/34 sin(8 t + 114/31) + 23/19 sin(9 t + 150/37) + 2495/38) θ(43 π - t) θ(t - 39 π) + (109/26 sin(t + 38/9) + 929/44 sin(2 t + 25/18) + 61/20 sin(3 t + 17/10) + 61/33 sin(4 t + 61/13) + 117/70 sin(5 t + 86/21) + 84/29 sin(6 t + 17/19) + 7/8 sin(7 t + 57/26) + 14/31 sin(8 t + 36/11) + 20/31 sin(9 t + 62/19) + 47/38 sin(10 t + 20/31) + 21/41 sin(11 t + 41/36) + 11/25 sin(12 t + 17/22) + 1128/11) θ(39 π - t) θ(t - 35 π) + (-89/133 sin(25/23 - 17 t) - 17/15 sin(3/23 - 16 t) - 20/13 sin(15/11 - 15 t) - 20/23 sin(20/61 - 14 t) - 17/19 sin(25/16 - 11 t) - 55/32 sin(24/49 - 10 t) - 245/44 sin(41/31 - 9 t) - 173/31 sin(17/27 - 4 t) - 2057/25 sin(19/13 - 3 t) - 211/26 sin(41/29 - t) + 137/16 sin(2 t + 23/34) + 27/32 sin(5 t + 33/46) + 174/37 sin(6 t + 37/20) + 33/26 sin(7 t + 186/43) + 49/29 sin(8 t + 17/45) + 89/32 sin(12 t + 58/25) + 11/38 sin(13 t + 161/38) - 771/22) θ(35 π - t) θ(t - 31 π) + (53/28 sin(t + 55/31) + 138/29 sin(2 t + 21/22) + 1/8 sin(3 t + 10/37) + 19/28 sin(4 t + 138/35) + 9/25 sin(5 t + 38/77) + 15/46 sin(6 t + 82/27) + 9/34 sin(7 t + 3/23) + 1145/22) θ(31 π - t) θ(t - 27 π) + (-1/27 sin(61/42 - 8 t) - 3/26 sin(26/27 - 7 t) + 32/23 sin(t + 40/31) + 7/2 sin(2 t + 25/36) + 11/36 sin(3 t + 67/47) + 8/29 sin(4 t + 211/66) + 1/7 sin(5 t + 15/59) + 6/25 sin(6 t + 35/18) + 709/29) θ(27 π - t) θ(t - 23 π) + (2375/47 - 628/35 sin(61/71 - t)) θ(23 π - t) θ(t - 19 π) + (-279/16 sin(3/11 - t) + 87/88 sin(2 t + 91/33) + 938/41) θ(19 π - t) θ(t - 15 π) + (-5/9 sin(21/19 - 4 t) - 49/23 sin(11/21 - 2 t) + 7955/306 sin(t + 1/15) + 164/45 sin(3 t + 11/18) + 28/25 sin(5 t + 102/103) + 16/35 sin(6 t + 34/11) + 31/40 sin(7 t + 51/50) + 454/23) θ(15 π - t) θ(t - 11 π) + (-378/17 sin(1/75 - t) + 71/31 sin(2 t + 137/32) + 89/36 sin(3 t + 48/49) + 76/151 sin(4 t + 101/22) + 91/136 sin(5 t + 128/45) + 5/24 sin(6 t + 153/37) + 23/45 sin(7 t + 1/25) + 19/37 sin(8 t + 335/93) + 11/20 sin(9 t + 36/71) + 1267/27) θ(11 π - t) θ(t - 7 π) + (-13/35 sin(5/18 - 9 t) - 27/53 sin(47/42 - 7 t) - 70/27 sin(17/16 - 3 t) - 948/35 sin(9/23 - t) + 186/35 sin(2 t + 13/5) + 99/34 sin(4 t + 128/57) + 19/22 sin(5 t + 206/47) + 45/41 sin(6 t + 53/25) + 1/65 sin(8 t + 298/99) + 11/31 sin(10 t + 171/49) - 7626/35) θ(7 π - t) θ(t - 3 π) + (-36/7 sin(32/25 - 9 t) - 212/33 sin(53/66 - 6 t) + 10444/39 sin(t + 17/5) + 769/32 sin(2 t + 85/22) + 917/45 sin(3 t + 30/13) + 473/30 sin(4 t + 53/28) + 163/37 sin(5 t + 169/46) + 125/22 sin(7 t + 1/115) + 110/31 sin(8 t + 443/133) + 138/59 sin(10 t + 7/27) + 41/19 sin(11 t + 97/46) + 84/61 sin(12 t + 58/17) + 10696/31) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

ビル・ゲイツ（Bill Gates）

x(t) = ((4486/69 sin(t + 35/22) + 133/32 sin(2 t + 61/32) + 97/24 sin(3 t + 43/25) + 11/29 sin(4 t + 28/17) - 301/150) θ(111 π - t) θ(t - 107 π) + (1226/31 sin(t + 96/61) + 206/27 sin(2 t + 96/61) + 190/69 sin(3 t + 96/61) - 9657/40) θ(107 π - t) θ(t - 103 π) + (1007/26 sin(t + 11/7) + 295/28 sin(2 t + 41/26) + 65/11 sin(3 t + 41/26) + 129/31) θ(103 π - t) θ(t - 99 π) + (718/23 sin(t + 52/33) + 130/29 sin(2 t + 59/37) + 257/41 sin(3 t + 65/41) + 9/53 sin(4 t + 752/167) + 11/35 sin(5 t + 44/27) + 65/54 sin(6 t + 21/13) + 149/112 sin(7 t + 59/37) - 1153/5) θ(99 π - t) θ(t - 95 π) + (3435/31 sin(t + 11/7) + 281/19 sin(2 t + 19/12) + 128/31 sin(3 t + 47/30) + 31/24 sin(4 t + 25/17) + 153/38 sin(5 t + 19/12) - 1436/21) θ(95 π - t) θ(t - 91 π) + (730/21 sin(t + 74/47) + 139/27 sin(2 t + 30/19) + 71/15 sin(3 t + 30/19) + 43/27 sin(4 t + 35/22) - 3627/17) θ(91 π - t) θ(t - 87 π) + (933/32 sin(t + 69/44) + 131/35 sin(2 t + 25/16) + 71/19 sin(3 t + 47/30) + 5/4 sin(4 t + 39/25) + 37/31 sin(5 t + 36/23) - 3995/19) θ(87 π - t) θ(t - 83 π) + (61/35 sin(t + 58/37) + 66/17 sin(2 t + 108/23) + 11/25 sin(3 t + 67/42) + 13/19 sin(4 t + 174/37) + 14/23 sin(5 t + 45/29) + 7/18 sin(6 t + 80/17) + 2867/22) θ(83 π - t) θ(t - 79 π) + (-187/47 sin(152/101 - 24 t) - 61/23 sin(65/43 - 20 t) - 119/27 sin(63/41 - 17 t) - 613/306 sin(49/32 - 15 t) - 89/13 sin(48/31 - 9 t) - 91/33 sin(65/42 - 7 t) - 243/40 sin(25/16 - 6 t) - 21/47 sin(64/43 - 4 t) - 40/21 sin(47/30 - 2 t) + 1703/33 sin(t + 85/54) + 91/36 sin(3 t + 19/12) + 187/35 sin(5 t + 41/26) + 2/5 sin(8 t + 159/34) + 19/44 sin(10 t + 23/15) + 37/23 sin(11 t + 35/22) + 67/66 sin(12 t + 21/13) + 271/33 sin(13 t + 66/41) + 79/34 sin(14 t + 50/31) + 41/83 sin(16 t + 17/11) + 31/18 sin(18 t + 28/17) + 18/23 sin(19 t + 62/39) + 4/5 sin(21 t + 169/36) + 627/157 sin(22 t + 34/21) + 8/29 sin(23 t + 127/27) + 14/31 sin(25 t + 97/65) + 286/69 sin(26 t + 51/31) - 296/25) θ(79 π - t) θ(t - 75 π) + (-32/25 sin(44/29 - 17 t) - 113/94 sin(39/25 - 16 t) - 313/47 sin(36/23 - 10 t) - 109/68 sin(45/29 - 6 t) - 272/23 sin(11/7 - 4 t) - 393/16 sin(91/58 - 2 t) + 755/29 sin(t + 11/7) + 1583/88 sin(3 t + 146/31) + 9/7 sin(5 t + 75/16) + 214/47 sin(7 t + 179/38) + 111/25 sin(8 t + 127/27) + 11/16 sin(9 t + 60/13) + 309/65 sin(11 t + 63/40) + 132/31 sin(12 t + 19/12) + 61/29 sin(13 t + 80/17) + 79/66 sin(14 t + 75/47) + 71/59 sin(15 t + 35/22) - 4303/19) θ(75 π - t) θ(t - 71 π) + (-536/57 sin(181/121 - 17 t) - 263/32 sin(283/189 - 15 t) - 1063/38 sin(38/25 - 12 t) - 1069/52 sin(37/24 - 11 t) - 99/28 sin(73/49 - 8 t) - 13/11 sin(61/47 - 7 t) - 51/5 sin(71/46 - 2 t) + 501/94 sin(t + 14/9) + 367/92 sin(3 t + 101/63) + 17/38 sin(4 t + 51/26) + 5/12 sin(5 t + 115/28) + 262/105 sin(6 t + 30/19) + 93/20 sin(9 t + 51/11) + 127/29 sin(10 t + 64/37) + 709/63 sin(13 t + 38/23) + 192/29 sin(14 t + 5/3) + 307/31 sin(16 t + 47/29) + 63/10 sin(18 t + 49/29) + 2867/23) θ(71 π - t) θ(t - 67 π) + (-8/27 sin(15/13 - 18 t) - 14/43 sin(38/27 - 17 t) - 68/23 sin(41/28 - 15 t) - 139/33 sin(3/2 - 14 t) - 13/21 sin(40/29 - 11 t) - 191/31 sin(32/21 - 10 t) - 198/31 sin(325/217 - 9 t) - 84/19 sin(170/113 - 8 t) - 29/13 sin(14/9 - 7 t) - 1/3 sin(30/31 - 6 t) - 209/39 sin(58/37 - 5 t) - 253/25 sin(69/44 - 2 t) + 644/11 sin(t + 41/26) + 96/31 sin(3 t + 27/17) + 279/17 sin(4 t + 43/27) + 131/34 sin(12 t + 37/23) + 13/8 sin(13 t + 41/25) + 6/53 sin(16 t + 81/58) + 16/47 sin(19 t + 106/23) + 4/23 sin(20 t + 145/31) - 5713/55) θ(67 π - t) θ(t - 63 π) + (3731/75 sin(t + 11/7) + 9/7 sin(2 t + 61/13) + 175/43 sin(3 t + 11/7) + 25/23 sin(4 t + 146/31) + 25/23 sin(5 t + 91/58) + 499/16) θ(63 π - t) θ(t - 59 π) + (344/13 sin(t + 179/38) + 112/27 sin(2 t + 80/51) + 26/15 sin(3 t + 36/23) + 88/35 sin(4 t + 25/16) + 11/37 sin(5 t + 38/25) - 8309/41) θ(59 π - t) θ(t - 55 π) + (-10/41 sin(7/24 - 100 t) - 17/60 sin(31/21 - 97 t) - 14/37 sin(13/21 - 94 t) - 13/25 sin(3/5 - 87 t) - 17/29 sin(6/19 - 84 t) - 25/27 sin(1/63 - 83 t) - 15/22 sin(14/23 - 75 t) - 29/40 sin(12/37 - 73 t) - 30/23 sin(57/41 - 70 t) - 10/13 sin(7/33 - 69 t) - 53/41 sin(8/57 - 66 t) - 23/21 sin(9/7 - 64 t) - 35/32 sin(1/292 - 63 t) - 10/23 sin(9/14 - 59 t) - 25/44 sin(27/41 - 57 t) - 55/46 sin(2/33 - 56 t) - 47/140 sin(7/20 - 52 t) - 55/62 sin(59/74 - 51 t) - 22/19 sin(16/29 - 50 t) - 36/17 sin(26/35 - 43 t) - 39/16 sin(1/104 - 36 t) - 37/15 sin(26/41 - 35 t) - 211/36 sin(144/143 - 34 t) - 73/24 sin(22/43 - 33 t) - 267/50 sin(76/65 - 31 t) - 209/32 sin(23/24 - 29 t) - 15/4 sin(124/99 - 22 t) - 101/20 sin(15/23 - 21 t) - 32/33 sin(20/21 - 19 t) - 62/15 sin(11/16 - 15 t) - 27/14 sin(31/38 - 9 t) - 4871/58 sin(45/31 - 2 t) + 8278/33 sin(t + 154/71) + 2104/59 sin(3 t + 11/28) + 533/25 sin(4 t + 187/42) + 1251/134 sin(5 t + 65/49) + 3207/130 sin(6 t + 101/24) + 484/29 sin(7 t + 17/28) + 2003/167 sin(8 t + 97/22) + 599/33 sin(10 t + 3/17) + 235/41 sin(11 t + 24/13) + 194/29 sin(12 t + 49/26) + 233/28 sin(13 t + 192/55) + 68/27 sin(14 t + 15/13) + 299/36 sin(16 t + 145/34) + 449/55 sin(17 t + 69/26) + 185/52 sin(18 t + 21/38) + 687/86 sin(20 t + 175/52) + 255/31 sin(23 t + 197/63) + 88/17 sin(24 t + 81/26) + 302/33 sin(25 t + 106/31) + 581/47 sin(26 t + 95/34) + 387/26 sin(27 t + 71/38) + 892/99 sin(28 t + 18/47) + 28/23 sin(30 t + 59/21) + 225/53 sin(32 t + 98/23) + 49/36 sin(37 t + 111/35) + 55/16 sin(38 t + 55/26) + 54/29 sin(39 t + 36/13) + 111/38 sin(40 t + 206/55) + 53/30 sin(41 t + 107/33) + 78/41 sin(42 t + 91/22) + 10/11 sin(44 t + 232/103) + 44/41 sin(45 t + 121/39) + 17/38 sin(46 t + 111/40) + 54/25 sin(47 t + 79/36) + 18/19 sin(48 t + 227/63) + 26/27 sin(49 t + 232/103) + 23/20 sin(53 t + 238/55) + 16/9 sin(54 t + 34/19) + 11/13 sin(55 t + 41/31) + 10/7 sin(58 t + 53/38) + 17/25 sin(60 t + 41/13) + 11/24 sin(61 t + 61/60) + 21/32 sin(62 t + 113/27) + 1/89 sin(65 t + 96/43) + 9/38 sin(67 t + 10/31) + 5/46 sin(68 t + 4/35) + 10/17 sin(71 t + 200/89) + 23/21 sin(72 t + 27/55) + 4/7 sin(74 t + 141/65) + 19/24 sin(76 t + 126/31) + 6/11 sin(77 t + 79/22) + 3/29 sin(78 t + 164/35) + 7/12 sin(79 t + 171/47) + 27/31 sin(80 t + 57/23) + 33/58 sin(81 t + 16/11) + 35/48 sin(82 t + 56/29) + 7/43 sin(85 t + 41/15) + 1/3 sin(86 t + 37/30) + 4/41 sin(88 t + 7/50) + 4/7 sin(89 t + 118/29) + 22/29 sin(90 t + 145/38) + 12/23 sin(91 t + 70/17) + 9/29 sin(92 t + 81/22) + 2/7 sin(93 t + 8/5) + 17/59 sin(95 t + 61/26) + 10/37 sin(96 t + 23/13) + 3/19 sin(98 t + 8/3) + 33/46 sin(99 t + 81/31) + 2366/31) θ(55 π - t) θ(t - 51 π) + (-149/39 sin(17/12 - 3 t) - 90/49 sin(1/25 - t) + 19/18 sin(2 t + 47/31) + 44/21 sin(4 t + 265/59) + 37/40 sin(5 t + 33/31) + 18/31 sin(6 t + 112/27) + 5/11 sin(7 t + 10/17) - 2924/13) θ(51 π - t) θ(t - 47 π) + (-452/129 sin(31/30 - t) + 110/73 sin(2 t + 26/17) + 62/35 sin(3 t + 58/13) + 25/11 sin(4 t + 14/11) + 73/24 sin(5 t + 38/115) + 12/19 sin(6 t + 38/45) + 19/25 sin(7 t + 94/33) - 553/138) θ(47 π - t) θ(t - 43 π) + (380/21 sin(t + 26/19) - 5687/25) θ(43 π - t) θ(t - 39 π) + (452/23 sin(t + 43/25) - 203/26) θ(39 π - t) θ(t - 35 π) + (-19/42 sin(37/33 - 8 t) - 12/17 sin(36/23 - 6 t) + 803/25 sin(t + 27/14) + 442/441 sin(2 t + 52/15) + 76/29 sin(3 t + 77/30) + 25/22 sin(4 t + 122/29) + 29/34 sin(5 t + 69/22) + 5/22 sin(7 t + 112/31) - 8683/39) θ(35 π - t) θ(t - 31 π) + (-11/20 sin(43/28 - 7 t) - 5/31 sin(38/27 - 6 t) + 1052/25 sin(t + 187/93) + 56/23 sin(2 t + 83/26) + 150/37 sin(3 t + 103/38) + 19/30 sin(4 t + 81/19) + 29/21 sin(5 t + 53/14) - 535/34) θ(31 π - t) θ(t - 27 π) + (-3/7 sin(49/43 - 18 t) - 604/19 sin(5/13 - 2 t) + 241/32 sin(t + 344/115) + 1193/59 sin(3 t + 10/7) + 241/30 sin(4 t + 16/63) + 239/40 sin(5 t + 81/29) + 443/74 sin(6 t + 60/23) + 667/111 sin(7 t + 123/74) + 147/32 sin(8 t + 17/25) + 83/38 sin(9 t + 8/29) + 33/20 sin(10 t + 125/39) + 34/29 sin(11 t + 94/45) + 28/29 sin(12 t + 107/40) + 1/206 sin(13 t + 3/43) + 21/85 sin(14 t + 173/72) + 16/31 sin(15 t + 109/40) + 17/25 sin(16 t + 63/23) + 29/86 sin(17 t + 139/46) + 48673/156) θ(27 π - t) θ(t - 23 π) + (-3/34 sin(41/29 - 18 t) - 10/27 sin(3/17 - 14 t) - 15/13 sin(13/25 - 10 t) - 41/23 sin(32/25 - 6 t) - 129/32 sin(25/31 - 4 t) - 434/41 sin(9/20 - 2 t) + 1587/28 sin(t + 34/27) + 139/34 sin(3 t + 11/16) + 25/56 sin(5 t + 23/7) + 364/363 sin(7 t + 50/17) + 29/32 sin(8 t + 141/32) + 37/43 sin(9 t + 108/35) + 55/38 sin(11 t + 96/61) + 5/29 sin(12 t + 179/42) + 20/33 sin(13 t + 19/24) + 13/35 sin(15 t + 15/22) + 7/34 sin(16 t + 7/20) + 2/15 sin(17 t + 51/19) + 14/47 sin(19 t + 31/10) + 10/41 sin(20 t + 84/19) + 1/18 sin(21 t + 123/35) - 1335/23) θ(23 π - t) θ(t - 19 π) + (-2/15 sin(17/13 - 31 t) - 3/13 sin(53/39 - 30 t) - 1/15 sin(1/106 - 26 t) - 10/39 sin(53/37 - 23 t) - 11/40 sin(19/15 - 21 t) - 5/17 sin(10/43 - 18 t) - 25/126 sin(24/31 - 17 t) - 39/19 sin(5/16 - 11 t) - 61/21 sin(6/5 - 10 t) - 77/32 sin(13/19 - 6 t) - 99/5 sin(25/18 - 2 t) + 1697/23 sin(t + 13/16) + 84/17 sin(3 t + 71/25) + 3/2 sin(4 t + 108/37) + 115/27 sin(5 t + 27/23) + 17/45 sin(7 t + 167/38) + 10/11 sin(8 t + 99/32) + 53/23 sin(9 t + 138/49) + 16/11 sin(12 t + 61/13) + 15/34 sin(13 t + 219/58) + 13/18 sin(14 t + 73/20) + 3/7 sin(15 t + 5/32) + 8/43 sin(16 t + 19/39) + 16/45 sin(19 t + 26/15) + 17/30 sin(20 t + 143/35) + 5/12 sin(22 t + 74/21) + 1/39 sin(24 t + 74/53) + 5/21 sin(25 t + 139/30) + 6/41 sin(27 t + 40/17) + 5/33 sin(28 t + 25/18) + 2/33 sin(29 t + 134/51) + 1/29 sin(32 t + 19/8) - 13455/232) θ(19 π - t) θ(t - 15 π) + (-42/169 sin(44/53 - 16 t) - 4/19 sin(14/11 - 14 t) - 15/38 sin(30/23 - 12 t) - 25/31 sin(31/20 - 10 t) + 3051/29 sin(t + 57/35) + 32/25 sin(2 t + 221/47) + 284/29 sin(3 t + 133/66) + 51/40 sin(4 t + 249/68) + 44/17 sin(5 t + 187/78) + 22/27 sin(6 t + 26/7) + 118/75 sin(7 t + 42/17) + 31/27 sin(8 t + 192/43) + 43/60 sin(9 t + 142/63) + 17/32 sin(11 t + 101/32) + 10/37 sin(13 t + 193/48) + 1/21 sin(15 t + 158/43) - 905/14) θ(15 π - t) θ(t - 11 π) + (-11/40 sin(33/35 - 4 t) + 2297/24 sin(t + 20/13) + 16/37 sin(2 t + 73/17) + 241/23 sin(3 t + 29/21) + 36/11 sin(5 t + 39/31) - 3777/61) θ(11 π - t) θ(t - 7 π) + (-19/20 sin(29/31 - 17 t) - 141/106 sin(28/23 - 8 t) - 438/25 sin(23/29 - 7 t) - 123/14 sin(47/32 - 5 t) - 1154/55 sin(20/21 - 3 t) - 4529/19 sin(93/70 - t) + 1185/17 sin(2 t + 66/67) + 1610/83 sin(4 t + 49/36) + 134/15 sin(6 t + 17/38) + 156/41 sin(9 t + 134/89) + 301/39 sin(10 t + 113/114) + 28/33 sin(11 t + 53/35) + 74/23 sin(12 t + 20/9) + 131/32 sin(13 t + 183/41) + 61/24 sin(14 t + 32/9) + 71/21 sin(15 t + 101/23) + 78/29 sin(16 t + 74/17) + 61/22 sin(18 t + 29/40) + 33/47 sin(19 t + 3/20) + 64/35 sin(20 t + 31/20) + 69/68 sin(21 t + 19/42) + 68/53 sin(22 t + 17/8) + 23/35 sin(23 t + 168/61) + 28/55 sin(24 t + 31/26) + 13/33 sin(25 t + 36/73) + 29/51 sin(26 t + 17/19) + 39/47 sin(27 t + 176/39) + 35/37 sin(28 t + 49/18) + 14/43 sin(29 t + 188/53) + 11/23 sin(30 t + 304/81) + 2/5 sin(31 t + 78/17) + 13/37 sin(32 t + 45/28) - 1371/19) θ(7 π - t) θ(t - 3 π) + (-14/23 sin(1/9 - 35 t) - 54/107 sin(43/30 - 30 t) - 32/37 sin(43/39 - 27 t) - 101/100 sin(23/28 - 24 t) - 92/29 sin(13/9 - 9 t) - 575/22 sin(29/22 - 3 t) + 23509/64 sin(t + 19/11) + 65/6 sin(2 t + 29/27) + 127/26 sin(4 t + 10/23) + 91/34 sin(5 t + 70/93) + 25/7 sin(6 t + 10/9) + 145/37 sin(7 t + 445/111) + 41/16 sin(8 t + 16/19) + 118/63 sin(10 t + 125/33) + 13/20 sin(11 t + 80/23) + 23/12 sin(12 t + 137/43) + 22/7 sin(13 t + 211/65) + 103/43 sin(14 t + 88/87) + 22/21 sin(15 t + 67/27) + 51/28 sin(16 t + 27/31) + 76/43 sin(17 t + 9/13) + 56/37 sin(18 t + 7/20) + 2/25 sin(19 t + 88/39) + 21/19 sin(20 t + 40/43) + 1/17 sin(21 t + 31/23) + 109/108 sin(22 t + 121/31) + 11/26 sin(23 t + 73/27) + 28/25 sin(25 t + 157/41) + 26/33 sin(26 t + 23/30) + 29/31 sin(28 t + 107/35) + 29/57 sin(29 t + 7/8) + 26/27 sin(31 t + 134/51) + 17/22 sin(32 t + 2/9) + 21/34 sin(33 t + 196/47) + 75/112 sin(34 t + 57/26) + 32/65 sin(36 t + 265/66) + 764/29) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-67/21 sin(70/47 - 4 t) - 464/31 sin(71/46 - 2 t) + 150/13 sin(t + 45/29) + 32/17 sin(3 t + 26/19) + 3012/31) θ(111 π - t) θ(t - 107 π) + (-211/19 sin(36/23 - 2 t) + 13042/567 sin(t + 85/54) + 110/47 sin(3 t + 74/47) + 864/25) θ(107 π - t) θ(t - 103 π) + (98/25 sin(t + 107/68) + 32/13 sin(2 t + 63/40) + 1/22 sin(3 t + 33/20) + 1031/30) θ(103 π - t) θ(t - 99 π) + (194/19 sin(t + 41/26) + 179/34 sin(2 t + 19/12) + 43/28 sin(3 t + 61/38) + 67/27 sin(4 t + 27/17) + 6/17 sin(5 t + 136/29) + 11/20 sin(6 t + 127/27) + 41/44 sin(7 t + 53/33) - 762/31) θ(99 π - t) θ(t - 95 π) + (605/24 sin(t + 80/17) + 1663/44 sin(2 t + 47/30) + 515/71 sin(3 t + 127/27) + 201/29 sin(4 t + 30/19) + 185/77 sin(5 t + 29/19) - 10277/30) θ(95 π - t) θ(t - 91 π) + (-299/64 sin(47/30 - 3 t) - 908/17 sin(58/37 - t) + 119/33 sin(2 t + 85/54) + 33/28 sin(4 t + 25/16) - 10639/40) θ(91 π - t) θ(t - 87 π) + (1278/29 sin(t + 179/38) + 81/34 sin(2 t + 30/19) + 103/24 sin(3 t + 212/45) + 199/198 sin(4 t + 63/40) + 33/20 sin(5 t + 146/31) - 10011/41) θ(87 π - t) θ(t - 83 π) + (1217/23 sin(t + 174/37) + 13/14 sin(2 t + 119/26) + 49/10 sin(3 t + 230/49) + 3/10 sin(4 t + 40/9) + 134/61 sin(5 t + 117/25) + 3/22 sin(6 t + 107/25) - 3938/29) θ(83 π - t) θ(t - 79 π) + (-14/47 sin(109/73 - 26 t) - 23/57 sin(85/57 - 24 t) - 11/21 sin(57/37 - 23 t) - 1/23 sin(181/136 - 19 t) - 1/12 sin(37/25 - 16 t) - 4/25 sin(134/89 - 15 t) - 34/29 sin(32/21 - 14 t) - 63/41 sin(37/24 - 13 t) - 51/77 sin(32/21 - 12 t) - 11/23 sin(63/41 - 11 t) - 40/31 sin(14/9 - 7 t) - 84/31 sin(53/34 - 5 t) - 29/19 sin(81/52 - 4 t) - 128/19 sin(36/23 - 2 t) + 139/31 sin(t + 107/68) + 37/20 sin(3 t + 19/12) + 17/23 sin(6 t + 19/12) + 2049/512 sin(8 t + 35/22) + 1/5 sin(9 t + 53/33) + 973/486 sin(10 t + 67/42) + 3/44 sin(17 t + 61/39) + 13/23 sin(18 t + 51/32) + 5/11 sin(20 t + 34/21) + 1/22 sin(21 t + 69/38) + 17/28 sin(22 t + 77/48) + 5/37 sin(25 t + 61/37) + 2410/17) θ(79 π - t) θ(t - 75 π) + (-44/31 sin(58/37 - 17 t) - 12/13 sin(64/41 - 15 t) - 32/25 sin(64/41 - 13 t) - 31/37 sin(54/35 - 4 t) - 278/47 sin(58/37 - 2 t) + 71/19 sin(t + 41/26) + 221/38 sin(3 t + 63/40) + 214/51 sin(5 t + 146/31) + 132/37 sin(6 t + 146/31) + 11/42 sin(7 t + 97/21) + 59/30 sin(8 t + 52/33) + 37/35 sin(9 t + 58/37) + 10/23 sin(10 t + 107/23) + 52/25 sin(11 t + 113/24) + 59/42 sin(12 t + 169/36) + 3/26 sin(14 t + 86/53) + 17/32 sin(16 t + 65/14) + 3173/39) θ(75 π - t) θ(t - 71 π) + (-89/40 sin(71/47 - 15 t) - 35/16 sin(41/29 - 14 t) - 20/37 sin(40/41 - 9 t) - 17/6 sin(69/47 - 5 t) - 1683/32 sin(58/37 - t) + 18/7 sin(2 t + 49/30) + 20/59 sin(3 t + 141/31) + 67/30 sin(4 t + 49/32) + 11/54 sin(6 t + 23/15) + 8/5 sin(7 t + 33/19) + 73/38 sin(8 t + 59/36) + 145/28 sin(10 t + 44/29) + 261/14 sin(11 t + 99/62) + 421/24 sin(12 t + 61/38) + 83/25 sin(13 t + 57/37) + 22/43 sin(16 t + 37/19) + 4/25 sin(17 t + 193/42) + 50/29 sin(18 t + 25/16) + 3709/104) θ(71 π - t) θ(t - 67 π) + (-70/37 sin(44/29 - 15 t) - 9/23 sin(40/29 - 14 t) - 55/31 sin(49/32 - 13 t) - 8/13 sin(32/21 - 10 t) - 494/99 sin(55/36 - 9 t) + 41/19 sin(t + 142/85) + 467/19 sin(2 t + 74/47) + 179/16 sin(3 t + 221/47) + 1785/71 sin(4 t + 27/17) + 2/7 sin(5 t + 588/235) + 107/23 sin(6 t + 27/17) + 47/34 sin(7 t + 27/16) + 44/17 sin(8 t + 69/43) + 99/29 sin(11 t + 31/19) + 59/31 sin(12 t + 45/28) + 35/33 sin(16 t + 11/7) + 4/35 sin(17 t + 89/19) + 4/23 sin(18 t + 37/8) + 7/30 sin(19 t + 34/23) + 1/12 sin(20 t + 83/33) - 2587/32) θ(67 π - t) θ(t - 63 π) + (-697/348 sin(61/39 - 5 t) - 116/115 sin(87/56 - 4 t) - 111/23 sin(47/30 - 3 t) - 11/14 sin(54/35 - 2 t) - 377/14 sin(91/58 - t) - 2011/28) θ(63 π - t) θ(t - 59 π) + (1861/31 sin(t + 179/38) + 4/19 sin(2 t + 101/22) + 242/31 sin(3 t + 80/17) + 4/21 sin(4 t + 85/52) + 42/19 sin(5 t + 146/31) - 2209/17) θ(59 π - t) θ(t - 55 π) + (-19/42 sin(39/25 - 100 t) - 16/17 sin(29/30 - 98 t) - 8/9 sin(7/31 - 96 t) - 27/34 sin(43/33 - 94 t) - 37/32 sin(30/47 - 89 t) - 24/43 sin(1/33 - 83 t) - 25/43 sin(11/31 - 75 t) - 39/23 sin(68/45 - 68 t) - 51/28 sin(25/16 - 60 t) - 61/46 sin(15/11 - 59 t) - 8/19 sin(28/23 - 55 t) - 43/41 sin(1/146 - 50 t) - 103/31 sin(13/18 - 48 t) - 118/75 sin(55/41 - 45 t) - 30/11 sin(25/63 - 40 t) - 47/17 sin(21/47 - 39 t) - 159/29 sin(8/9 - 29 t) - 1885/157 sin(1/4 - 24 t) - 447/68 sin(7/41 - 23 t) - 51/5 sin(11/30 - 18 t) - 133/12 sin(16/27 - 14 t) - 348/13 sin(23/24 - 10 t) - 4476/121 sin(7/11 - 5 t) - 10042/65 sin(1/38 - t) + 2195/44 sin(2 t + 41/46) + 5169/71 sin(3 t + 77/31) + 2469/37 sin(4 t + 243/56) + 395/19 sin(6 t + 4/11) + 1022/47 sin(7 t + 21/20) + 1777/82 sin(8 t + 149/41) + 225/37 sin(9 t + 143/46) + 349/33 sin(11 t + 27/28) + 139/16 sin(12 t + 412/97) + 108/19 sin(13 t + 353/101) + 248/27 sin(15 t + 43/37) + 262/21 sin(16 t + 103/23) + 79/19 sin(17 t + 65/29) + 127/36 sin(19 t + 8/7) + 213/31 sin(20 t + 48/11) + 136/19 sin(21 t + 9/28) + 71/28 sin(22 t + 193/50) + 67/35 sin(25 t + 22/19) + 77/19 sin(26 t + 221/47) + 206/37 sin(27 t + 13/10) + 373/36 sin(28 t + 3/20) + 192/37 sin(30 t + 113/44) + 69/29 sin(31 t + 7/20) + 217/41 sin(32 t + 59/40) + 218/37 sin(33 t + 62/39) + 81/31 sin(34 t + 49/13) + 112/25 sin(35 t + 61/28) + 95/22 sin(36 t + 76/17) + 101/21 sin(37 t + 94/23) + 67/50 sin(38 t + 19/31) + 95/39 sin(41 t + 8/25) + 85/21 sin(42 t + 83/30) + 89/22 sin(43 t + 28/31) + 238/65 sin(44 t + 169/42) + 15/23 sin(46 t + 26/43) + 7/25 sin(47 t + 179/45) + 255/73 sin(49 t + 69/31) + 43/23 sin(51 t + 71/70) + 18/19 sin(52 t + 12/59) + 108/35 sin(53 t + 167/39) + 17/19 sin(54 t + 9/29) + 39/38 sin(56 t + 22/9) + 67/39 sin(57 t + 211/48) + 4/15 sin(58 t + 3/26) + 83/62 sin(61 t + 55/36) + 63/34 sin(62 t + 40/11) + 45/31 sin(63 t + 17/23) + 61/47 sin(64 t + 115/41) + 31/29 sin(65 t + 129/40) + 13/40 sin(66 t + 61/18) + 59/27 sin(67 t + 103/37) + 31/21 sin(69 t + 99/49) + 51/28 sin(70 t + 32/9) + 41/35 sin(71 t + 28/9) + 27/40 sin(72 t + 138/65) + 25/44 sin(73 t + 91/37) + 50/51 sin(74 t + 62/19) + 17/29 sin(76 t + 38/17) + 12/23 sin(77 t + 73/27) + 8/11 sin(78 t + 9/29) + 54/53 sin(79 t + 76/39) + 35/44 sin(80 t + 69/16) + 87/62 sin(81 t + 3/43) + 39/47 sin(82 t + 459/230) + 10/37 sin(84 t + 17/10) + 23/38 sin(85 t + 173/44) + 23/29 sin(86 t + 13/17) + 13/22 sin(87 t + 6/5) + 9/17 sin(88 t + 13/24) + 18/41 sin(90 t + 11/6) + 9/14 sin(91 t + 10/31) + 12/61 sin(92 t + 8/11) + 29/38 sin(93 t + 198/79) + 7/16 sin(95 t + 157/41) + 9/19 sin(97 t + 95/37) + 5/32 sin(99 t + 26/7) + 14797/61) θ(55 π - t) θ(t - 51 π) + (-29/48 sin(13/51 - 6 t) + 11/13 sin(t + 88/31) + 12/19 sin(2 t + 73/19) + 209/70 sin(3 t + 6/55) + 87/44 sin(4 t + 1/110) + 20/21 sin(5 t + 69/26) + 12/23 sin(7 t + 77/32) + 772/31) θ(51 π - t) θ(t - 47 π) + (-13/10 sin(4/39 - 3 t) + 11/12 sin(t + 5/6) + 8/19 sin(2 t + 117/34) + 47/23 sin(4 t + 70/23) + 64/19 sin(5 t + 39/20) + 39/34 sin(6 t + 73/29) + 13/18 sin(7 t + 115/26) + 6852/77) θ(47 π - t) θ(t - 43 π) + (769/34 - 166/11 sin(4/33 - t)) θ(43 π - t) θ(t - 39 π) + (526/37 sin(t + 6/25) + 2641/30) θ(39 π - t) θ(t - 35 π) + (324/23 sin(t + 15/31) + 65/19 sin(2 t + 181/39) + 38/35 sin(3 t + 26/27) + 22/51 sin(4 t + 125/27) + 5/18 sin(5 t + 49/38) + 9/46 sin(6 t + 145/38) + 8/31 sin(7 t + 73/28) + 13/43 sin(8 t + 189/43) + 1427/62) θ(35 π - t) θ(t - 31 π) + (-23/42 sin(56/45 - 4 t) - 341/65 sin(21/31 - 2 t) + 458/25 sin(t + 45/38) + 19/24 sin(3 t + 43/18) + 33/31 sin(5 t + 63/26) + 2/17 sin(6 t + 39/46) + 12/29 sin(7 t + 135/47) + 3501/43) θ(31 π - t) θ(t - 27 π) + (-235/33 sin(59/46 - 7 t) - 300/29 sin(5/9 - 6 t) - 691/13 sin(23/38 - t) + 1745/28 sin(2 t + 62/103) + 88/7 sin(3 t + 131/35) + 103/27 sin(4 t + 147/34) + 55/9 sin(5 t + 53/13) + 30/23 sin(8 t + 36/35) + 152/45 sin(9 t + 1/413) + 90/37 sin(10 t + 88/29) + 173/29 sin(11 t + 37/26) + 98/31 sin(12 t + 13/17) + 29/19 sin(13 t + 31/22) + 16/15 sin(14 t + 107/64) + 55/37 sin(15 t + 137/37) + 34/27 sin(16 t + 223/65) + 71/38 sin(17 t + 70/17) + 55/43 sin(18 t + 115/32) + 1288/101) θ(27 π - t) θ(t - 23 π) + (-15/28 sin(29/25 - 21 t) - 15/22 sin(35/39 - 9 t) - 11/21 sin(29/32 - 8 t) - 69/52 sin(7/17 - 4 t) + 432/29 sin(t + 55/36) + 55/16 sin(2 t + 5/23) + 23/21 sin(3 t + 10/17) + 3/13 sin(5 t + 19/15) + 46/39 sin(6 t + 65/14) + 22/21 sin(7 t + 101/25) + 59/33 sin(10 t + 28/29) + 73/37 sin(11 t + 72/29) + 10/31 sin(12 t + 55/14) + 21/25 sin(13 t + 22/9) + 4/23 sin(14 t + 149/39) + 8/19 sin(15 t + 37/40) + 8/45 sin(16 t + 64/33) + 2/39 sin(17 t + 100/29) + 6/43 sin(18 t + 31/25) + 7/26 sin(19 t + 46/19) + 17/38 sin(20 t + 271/68) - 5790/29) θ(23 π - t) θ(t - 19 π) + (-4/21 sin(49/36 - 32 t) - 5/27 sin(28/43 - 31 t) - 8/37 sin(7/31 - 30 t) - 22/37 sin(51/50 - 25 t) - 13/48 sin(104/103 - 24 t) - 3/7 sin(11/26 - 23 t) - 4/13 sin(27/23 - 21 t) - 20/29 sin(21/62 - 17 t) - 17/16 sin(46/37 - 7 t) - 203/65 sin(19/46 - 5 t) + 1148/65 sin(t + 11/34) + 196/31 sin(2 t + 97/26) + 77/24 sin(3 t + 91/58) + 28/23 sin(4 t + 319/80) + 45/31 sin(6 t + 307/77) + 48/97 sin(8 t + 169/37) + 149/41 sin(9 t + 32/23) + 555/104 sin(10 t + 105/32) + 39/11 sin(11 t + 101/22) + 125/46 sin(12 t + 59/19) + 25/16 sin(13 t + 87/23) + 26/17 sin(14 t + 29/14) + 9/29 sin(15 t + 19/15) + 25/37 sin(16 t + 4/15) + 5/13 sin(18 t + 16/23) + 27/32 sin(19 t + 299/83) + 31/32 sin(20 t + 164/37) + 5/38 sin(22 t + 356/79) + 2/17 sin(26 t + 251/59) + 5/22 sin(27 t + 97/49) + 6/19 sin(28 t + 257/129) + 1/49 sin(29 t + 20/29) - 4669/26) θ(19 π - t) θ(t - 15 π) + (-11/29 sin(42/43 - 15 t) - 1/16 sin(41/36 - 14 t) - 17/103 sin(33/37 - 13 t) - 3/11 sin(16/53 - 10 t) - 41/36 sin(8/19 - 7 t) + 1493/31 sin(t + 101/37) + 124/21 sin(2 t + 63/34) + 253/59 sin(3 t + 77/23) + 47/27 sin(4 t + 13/7) + 39/43 sin(5 t + 173/54) + 43/27 sin(6 t + 65/18) + 11/18 sin(8 t + 53/20) + 23/25 sin(9 t + 128/35) + 1/5 sin(11 t + 137/31) + 2/11 sin(12 t + 1/51) + 1/16 sin(16 t + 59/15) - 4097/22) θ(15 π - t) θ(t - 11 π) + (1185/38 sin(t + 7/10) + 69/20 sin(2 t + 44/25) + 128/37 sin(3 t + 1/16) + 9/11 sin(4 t + 30/23) + 49/39 sin(5 t + 9/25) - 8097/44) θ(11 π - t) θ(t - 7 π) + (-3/4 sin(43/30 - 30 t) - 47/41 sin(40/37 - 29 t) - 7/25 sin(7/18 - 22 t) - 47/38 sin(38/27 - 21 t) - 33/31 sin(1/13 - 18 t) - 91/33 sin(97/193 - 14 t) - 140/31 sin(35/34 - 9 t) - 92/19 sin(57/40 - 8 t) - 727/45 sin(21/25 - 3 t) - 1049/61 sin(1/23 - 2 t) + 1847/28 sin(t + 101/22) + 481/41 sin(4 t + 57/14) + 153/26 sin(5 t + 9/8) + 37/12 sin(6 t + 181/40) + 1528/131 sin(7 t + 136/35) + 125/34 sin(10 t + 137/37) + 31/20 sin(11 t + 107/36) + 35/31 sin(12 t + 43/26) + 137/64 sin(13 t + 29/41) + 16/19 sin(15 t + 43/11) + 35/26 sin(16 t + 41/32) + 93/40 sin(17 t + 21/34) + 77/41 sin(19 t + 17/21) + 11/17 sin(20 t + 29/25) + 45/44 sin(23 t + 1523/761) + 17/44 sin(24 t + 65/18) + 38/33 sin(25 t + 135/32) + 43/27 sin(26 t + 113/33) + 75/47 sin(27 t + 53/28) + 35/39 sin(28 t + 34/25) + 53/66 sin(31 t + 113/39) + 43/85 sin(32 t + 43/33) + 395/8) θ(7 π - t) θ(t - 3 π) + (-14/23 sin(69/55 - 34 t) - 13/29 sin(19/23 - 31 t) - 6/17 sin(39/40 - 28 t) - 536/535 sin(40/79 - 22 t) - 37/32 sin(21/19 - 20 t) - 5/13 sin(45/37 - 19 t) - 5/13 sin(17/12 - 17 t) - 43/28 sin(2/25 - 16 t) - 89/67 sin(25/32 - 11 t) - 64/21 sin(23/39 - 7 t) - 99/25 sin(13/28 - 6 t) + 10414/23 sin(t + 1/22) + 586/29 sin(2 t + 182/121) + 18/11 sin(3 t + 85/26) + 163/28 sin(4 t + 101/30) + 584/167 sin(5 t + 128/55) + 121/26 sin(8 t + 47/48) + 56/19 sin(9 t + 91/23) + 64/33 sin(10 t + 77/18) + 43/60 sin(12 t + 57/20) + 50/23 sin(13 t + 10/3) + 101/56 sin(14 t + 17/11) + 60/37 sin(15 t + 61/27) + 55/63 sin(18 t + 112/67) + 11/23 sin(21 t + 193/69) + 13/19 sin(23 t + 80/21) + 40/41 sin(24 t + 43/22) + 14/39 sin(25 t + 5/23) + 35/44 sin(26 t + 319/72) + 11/16 sin(27 t + 26/15) + 11/26 sin(29 t + 103/30) + 33/50 sin(30 t + 20/27) + 10/21 sin(32 t + 13/4) + 2/3 sin(33 t + 23/30) + 22/43 sin(35 t + 64/21) + 13/34 sin(36 t + 38/75) + 187/9) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

マーク・ザッカーバーグ（Mark Elliot Zuckerberg）

x(t) = ((478/9 sin(t + 80/17) + 141/20 sin(2 t + 47/10) + 95/12 sin(3 t + 47/10) + 17/15 sin(4 t + 61/13) + 39/14 sin(5 t + 47/10) + 2214/11) θ(131 π - t) θ(t - 127 π) + (-1/30 sin(14/11 - 4 t) + 4025/33 sin(t + 11/7) + 1/11 sin(2 t + 22/21) + 93/7 sin(3 t + 11/7) + 51/11 sin(5 t + 11/7) + 2/13 sin(6 t + 65/14) - 559/7) θ(127 π - t) θ(t - 123 π) + (-265/17 sin(11/7 - t) + 23/9 sin(2 t + 11/7) + 25/12 sin(3 t + 11/7) + 37/11 sin(4 t + 11/7) - 1037/5) θ(123 π - t) θ(t - 119 π) + (-4/11 sin(14/11 - 72 t) - 1/6 sin(9/8 - 67 t) - 3/14 sin(17/14 - 66 t) - 3/10 sin(4/3 - 63 t) - 1/3 sin(23/18 - 62 t) - 3/11 sin(27/20 - 61 t) - 2/17 sin(14/9 - 59 t) - 5/6 sin(4/3 - 58 t) - 11/15 sin(17/12 - 57 t) - 4/9 sin(24/17 - 56 t) - sin(7/5 - 53 t) - 33/67 sin(4/3 - 52 t) - 9/14 sin(18/13 - 44 t) - 17/16 sin(23/16 - 39 t) - 20/17 sin(23/16 - 38 t) - 7/11 sin(64/43 - 37 t) - 12/7 sin(22/15 - 36 t) - 11/10 sin(13/9 - 35 t) - 187/186 sin(10/7 - 34 t) - 4/15 sin(7/5 - 32 t) - 9/13 sin(19/13 - 31 t) - 11/12 sin(22/15 - 29 t) - 19/10 sin(17/11 - 19 t) - 10/9 sin(17/11 - 18 t) - 2/3 sin(16/11 - 17 t) - 51/14 sin(35/23 - 16 t) - 4/7 sin(25/16 - 14 t) - 32/11 sin(14/9 - 11 t) - 73/19 sin(3/2 - 9 t) - 109/8 sin(25/16 - 7 t) - 331/11 sin(17/11 - 5 t) - 1529/18 sin(25/16 - 3 t) - 851/19 sin(25/16 - 2 t) + 8234/19 sin(t + 11/7) + 50/33 sin(4 t + 8/5) + 61/16 sin(6 t + 25/16) + 37/11 sin(8 t + 19/12) + 59/21 sin(10 t + 19/12) + 19/25 sin(12 t + 27/17) + 49/24 sin(13 t + 11/7) + 2/5 sin(15 t + 47/27) + 17/8 sin(20 t + 43/26) + 1/26 sin(21 t + 93/28) + 34/19 sin(22 t + 23/14) + 10/9 sin(23 t + 5/3) + 7/12 sin(24 t + 52/31) + 53/20 sin(25 t + 5/3) + 17/7 sin(26 t + 43/26) + 17/9 sin(27 t + 33/20) + 46/21 sin(28 t + 28/17) + 15/17 sin(30 t + 19/12) + 1/139 sin(33 t + 44/15) + 1/5 sin(40 t + 33/17) + 1/26 sin(41 t + 44/15) + 3/8 sin(42 t + 17/10) + 1/6 sin(43 t + 12/7) + 8/9 sin(45 t + 19/11) + 11/9 sin(46 t + 31/18) + 4/13 sin(47 t + 14/9) + 1/5 sin(48 t + 17/10) + 6/19 sin(49 t + 19/11) + 8/19 sin(50 t + 22/13) + 3/5 sin(51 t + 30/17) + 1/5 sin(54 t + 13/7) + 1/12 sin(55 t + 49/11) + 2/3 sin(60 t + 20/11) + 2/15 sin(64 t + 12/7) + 4/7 sin(65 t + 9/5) + 1/10 sin(68 t + 11/6) + 9/14 sin(69 t + 23/13) + 23/45 sin(70 t + 24/13) + 1/2 sin(71 t + 24/13) - 337/25) θ(119 π - t) θ(t - 115 π) + (-17/18 sin(3/2 - 98 t) - 21/22 sin(11/19 - 83 t) - 19/11 sin(11/13 - 78 t) - 47/13 sin(17/11 - 70 t) - 19/13 sin(20/17 - 65 t) - 4/15 sin(1/31 - 61 t) - 12/17 sin(9/8 - 60 t) - 18/7 sin(35/26 - 45 t) - 5/16 sin(3/7 - 36 t) - 21/11 sin(16/11 - 8 t) - 609/38 sin(25/16 - 5 t) - 261/8 sin(14/9 - 2 t) + 3587/10 sin(t + 11/7) + 151/13 sin(3 t + 8/5) + 28/19 sin(4 t + 75/17) + 225/19 sin(6 t + 14/9) + 142/27 sin(7 t + 13/8) + 94/13 sin(9 t + 29/19) + 477/28 sin(10 t + 19/12) + 317/11 sin(11 t + 47/10) + 209/10 sin(12 t + 14/9) + 169/11 sin(13 t + 23/15) + 511/33 sin(14 t + 131/28) + 149/15 sin(15 t + 51/11) + 149/9 sin(16 t + 26/17) + 87/7 sin(17 t + 70/47) + 102/13 sin(18 t + 51/11) + 152/13 sin(19 t + 14/3) + 47/4 sin(20 t + 32/21) + 21/31 sin(21 t + 67/45) + 275/18 sin(22 t + 65/14) + 11/4 sin(23 t + 32/7) + 46/11 sin(24 t + 27/20) + 76/9 sin(25 t + 59/39) + 62/7 sin(26 t + 131/28) + 14/5 sin(27 t + 77/17) + 175/22 sin(28 t + 51/11) + 38/7 sin(29 t + 51/11) + 41/8 sin(30 t + 16/11) + 10/3 sin(31 t + 21/17) + 62/21 sin(32 t + 13/8) + 129/13 sin(33 t + 60/13) + 11/8 sin(34 t + 121/26) + 109/12 sin(35 t + 19/13) + 146/17 sin(37 t + 23/5) + 4 sin(38 t + 58/13) + 17/9 sin(39 t + 21/17) + 118/39 sin(40 t + 26/21) + 29/10 sin(41 t + 27/16) + 144/17 sin(42 t + 37/8) + 19/10 sin(43 t + 32/7) + 74/11 sin(44 t + 38/25) + 32/13 sin(46 t + 26/17) + 9/10 sin(47 t + 35/17) + 50/9 sin(48 t + 47/10) + 147/26 sin(49 t + 22/15) + 37/25 sin(50 t + 23/16) + 131/21 sin(51 t + 106/23) + 31/25 sin(52 t + 123/29) + 2/3 sin(53 t + 7/8) + 37/14 sin(54 t + 17/13) + 24/17 sin(55 t + 86/19) + 7/8 sin(56 t + 22/5) + 13/12 sin(57 t + 6/5) + 1/6 sin(58 t + 53/13) + 16/21 sin(59 t + 23/5) + 36/37 sin(62 t + 61/14) + 39/7 sin(63 t + 68/15) + 25/14 sin(64 t + 47/11) + 319/53 sin(66 t + 13/10) + 7/12 sin(67 t + 1/3) + 71/10 sin(68 t + 130/29) + 29/7 sin(69 t + 47/11) + 22/3 sin(71 t + 11/8) + 13/8 sin(72 t + 5/6) + 30/11 sin(73 t + 61/13) + 26/7 sin(74 t + 35/22) + 59/10 sin(75 t + 51/11) + 113/34 sin(76 t + 77/18) + 3/8 sin(77 t + 34/15) + 129/23 sin(79 t + 23/15) + 91/23 sin(80 t + 103/23) + 9/8 sin(81 t + 93/20) + 59/7 sin(82 t + 19/13) + 9/8 sin(84 t + 51/11) + 28/19 sin(85 t + 51/26) + 27/8 sin(86 t + 55/12) + 2/3 sin(87 t + 56/13) + 27/16 sin(88 t + 27/17) + 7/9 sin(89 t + 17/16) + 91/46 sin(90 t + 17/15) + 106/25 sin(91 t + 17/13) + 4/5 sin(92 t + 24/19) + 14/3 sin(93 t + 122/27) + 42/25 sin(94 t + 33/8) + 19/10 sin(95 t + 211/47) + 35/9 sin(96 t + 60/13) + 13/11 sin(97 t + 88/21) + 7/18 sin(99 t + 1/22) + 5/6 sin(100 t + 31/18) + 1/9 sin(101 t + 15/13) + 10/21 sin(102 t + 7/5) + 6/7 sin(103 t + 71/47) + 18/13 sin(104 t + 13/11) - 48/13) θ(115 π - t) θ(t - 111 π) + (-103/52 sin(11/7 - 3 t) - 193/10 sin(11/7 - t) + 386/43 sin(2 t + 11/7) + 10/11 sin(4 t + 11/7) + 8/11 sin(5 t + 33/7) + 7/8 sin(6 t + 11/7) - 428/13) θ(111 π - t) θ(t - 107 π) + (253/15 sin(t + 11/7) + 59/5 sin(2 t + 80/17) + 42/41 sin(3 t + 13/8) + 19/8 sin(4 t + 61/13) + 1/14 sin(5 t + 16/7) + 5/4 sin(6 t + 61/13) + 7/15 sin(7 t + 29/18) - 1479/13) θ(107 π - t) θ(t - 103 π) + (-3/8 sin(20/13 - 22 t) - 2/9 sin(17/12 - 4 t) + 487/6 sin(t + 11/7) + 76/17 sin(2 t + 80/17) + 101/15 sin(3 t + 47/10) + 157/12 sin(5 t + 25/16) + 26/3 sin(6 t + 61/13) + 219/19 sin(7 t + 47/10) + 5/2 sin(8 t + 61/13) + 102/29 sin(9 t + 47/10) + 35/23 sin(10 t + 107/23) + 50/9 sin(11 t + 75/16) + 88/25 sin(12 t + 25/16) + 31/9 sin(13 t + 47/10) + 77/15 sin(14 t + 17/11) + 58/13 sin(15 t + 38/25) + 108/25 sin(16 t + 135/29) + 32/19 sin(17 t + 14/3) + 9/11 sin(18 t + 23/5) + 31/25 sin(19 t + 107/23) + 53/12 sin(20 t + 59/39) + 21/17 sin(21 t + 23/15) - 521/9) θ(103 π - t) θ(t - 99 π) + (-1/15 sin(22/15 - 17 t) - 1/10 sin(17/11 - 16 t) + 214/5 sin(t + 11/7) + 37/10 sin(2 t + 30/19) + 76/17 sin(3 t + 11/7) + 9/14 sin(4 t + 13/8) + 42/19 sin(5 t + 19/12) + 5/9 sin(6 t + 13/8) + 3/7 sin(7 t + 18/11) + 18/17 sin(8 t + 27/17) + 3/17 sin(9 t + 5/3) + 11/12 sin(10 t + 19/12) + 25/26 sin(11 t + 47/10) + 7/6 sin(12 t + 19/12) + 9/14 sin(13 t + 47/10) + 3/4 sin(14 t + 30/19) + 1/14 sin(15 t + 30/19) + 5/13 sin(18 t + 11/7) + 5/14 sin(19 t + 33/7) + 5/14 sin(20 t + 8/5) + 1/19 sin(21 t + 9/2) + 1/16 sin(22 t + 23/5) + 1/9 sin(23 t + 14/3) + 1/7 sin(24 t + 28/17) + 6/23 sin(25 t + 19/12) + 1/7 sin(26 t + 65/14) + 4/17 sin(27 t + 21/13) + 1/6 sin(28 t + 13/8) + 1/57 sin(29 t + 70/19) + 1/53 sin(30 t + 31/16) + 1/20 sin(31 t + 44/25) + 1/13 sin(32 t + 8/5) - 1021/5) θ(99 π - t) θ(t - 95 π) + (-1/10 sin(17/12 - 26 t) - 1/31 sin(22/17 - 21 t) - 1/44 sin(16/17 - 18 t) - 3/13 sin(31/20 - 17 t) - 3/5 sin(20/13 - 15 t) + 437/11 sin(t + 30/19) + 11/2 sin(2 t + 27/17) + 70/19 sin(3 t + 19/12) + 14/15 sin(4 t + 13/8) + 16/11 sin(5 t + 8/5) + 3/13 sin(6 t + 28/17) + 11/9 sin(7 t + 29/18) + 1/24 sin(8 t + 33/20) + 4/9 sin(9 t + 21/13) + 9/26 sin(10 t + 23/14) + 8/19 sin(11 t + 48/29) + 3/10 sin(12 t + 18/11) + 1/4 sin(13 t + 61/13) + 5/8 sin(14 t + 29/18) + 10/13 sin(16 t + 21/13) + 1/8 sin(19 t + 19/11) + 2/17 sin(20 t + 26/15) + 1/36 sin(22 t + 29/18) + 2/13 sin(23 t + 22/13) + 1/7 sin(24 t + 52/31) + 1/64 sin(25 t + 77/17) + 2/19 sin(27 t + 40/23) + 2/15 sin(28 t + 7/4) + 1/37 sin(29 t + 12/7) + 1/16 sin(30 t + 32/19) + 903/11) θ(95 π - t) θ(t - 91 π) + (-1/12 sin(11/9 - 35 t) - 2/11 sin(17/12 - 11 t) + 864/11 sin(t + 11/7) + 119/22 sin(2 t + 11/7) + 166/19 sin(3 t + 11/7) + 13/6 sin(4 t + 17/11) + 3/2 sin(5 t + 19/12) + 31/15 sin(6 t + 30/19) + 9/11 sin(7 t + 26/17) + 12/7 sin(8 t + 25/16) + 45/17 sin(9 t + 33/7) + 29/14 sin(10 t + 14/9) + 3/14 sin(12 t + 60/13) + 4/11 sin(13 t + 11/7) + 6/17 sin(14 t + 19/12) + 3/8 sin(15 t + 8/5) + 3/19 sin(16 t + 79/17) + 5/14 sin(17 t + 19/12) + 2/11 sin(18 t + 25/17) + 1/40 sin(19 t + 140/31) + 1/7 sin(20 t + 26/17) + 3/11 sin(21 t + 17/11) + 4/11 sin(22 t + 14/9) + 13/19 sin(23 t + 61/13) + 1/74 sin(24 t + 25/6) + 3/11 sin(25 t + 80/17) + 11/19 sin(26 t + 11/7) + 1/49 sin(27 t + 11/14) + 1/13 sin(28 t + 33/19) + 1/7 sin(29 t + 29/19) + 4/17 sin(30 t + 8/5) + 9/28 sin(31 t + 131/28) + 6/17 sin(32 t + 14/9) + 1/8 sin(33 t + 65/14) + 2/9 sin(34 t + 77/51) + 1/15 sin(36 t + 95/21) + 5/12 sin(37 t + 17/11) + 7/15 sin(38 t + 40/27) + 14/27 sin(39 t + 51/11) + 2/5 sin(40 t + 106/23) + 12/17 sin(41 t + 58/39) + 22/29 sin(42 t + 11/7) + 1/16 sin(43 t + 41/9) + 7/11 sin(44 t + 68/45) + 1549/15) θ(91 π - t) θ(t - 87 π) + (-1/80 sin(13/11 - 40 t) - 20/17 sin(20/13 - 31 t) - 7/17 sin(11/7 - 28 t) - 1/12 sin(15/11 - 27 t) - 13/15 sin(17/11 - 25 t) - 5/9 sin(23/15 - 14 t) - 5/8 sin(20/13 - 12 t) + 388/5 sin(t + 11/7) + 11/4 sin(2 t + 26/17) + 64/7 sin(3 t + 11/7) + 59/16 sin(4 t + 25/16) + 67/19 sin(5 t + 25/16) + 11/16 sin(6 t + 41/27) + 17/8 sin(7 t + 11/7) + 17/12 sin(8 t + 14/9) + 8/13 sin(9 t + 29/19) + 25/13 sin(10 t + 14/9) + 5/6 sin(11 t + 17/11) + 11/14 sin(13 t + 19/12) + 6/5 sin(15 t + 14/9) + 13/25 sin(16 t + 28/19) + 7/11 sin(17 t + 17/11) + 4/9 sin(18 t + 61/13) + 3/11 sin(19 t + 93/20) + 1/3 sin(20 t + 20/13) + 1/4 sin(21 t + 3/2) + 5/12 sin(22 t + 3/2) + 1/3 sin(23 t + 41/27) + 9/17 sin(24 t + 25/16) + 4/5 sin(26 t + 27/17) + 5/11 sin(29 t + 25/16) + 14/19 sin(30 t + 14/9) + 10/9 sin(32 t + 18/11) + 26/15 sin(33 t + 61/13) + 1/31 sin(34 t + 149/33) + 23/15 sin(35 t + 50/33) + 9/17 sin(36 t + 7/5) + 3/11 sin(37 t + 55/12) + 6/7 sin(38 t + 107/23) + 5/21 sin(39 t + 33/20) + 7/12 sin(41 t + 149/32) + 1/13 sin(42 t + 81/19) + 2/13 sin(43 t + 19/12) + 2/11 sin(44 t + 4/3) + 5/12 sin(45 t + 25/17) + 9/17 sin(46 t + 16/11) + 3/10 sin(47 t + 24/17) + 1/10 sin(48 t + 23/14) + 5/18 sin(49 t + 37/8) - 664/3) θ(87 π - t) θ(t - 83 π) + (-1/66 sin(6/11 - 12 t) + 1647/10 sin(t + 11/7) + 452/15 sin(2 t + 25/16) + 173/10 sin(3 t + 11/7) + 17/8 sin(4 t + 17/11) + 56/17 sin(5 t + 11/7) + 23/16 sin(6 t + 17/11) + 35/11 sin(7 t + 14/9) + 1/9 sin(8 t + 17/13) + 156/155 sin(9 t + 19/12) + 5/16 sin(10 t + 35/22) + 7/6 sin(11 t + 14/9) - 1003/7) θ(83 π - t) θ(t - 79 π) + (2411/13 sin(t + 11/7) + 313/11 sin(2 t + 19/12) + 198/17 sin(3 t + 19/12) + 102/19 sin(4 t + 35/22) + 53/12 sin(5 t + 27/17) + 27/16 sin(6 t + 13/8) - 2201/15) θ(79 π - t) θ(t - 75 π) + (-34/15 sin(11/7 - 3 t) - 23/9 sin(11/7 - 2 t) - 474/25 sin(11/7 - t) + 3/16 sin(4 t + 27/17) + 13/11 sin(5 t + 80/17) + 7/11 sin(6 t + 19/12) + 2629/14) θ(75 π - t) θ(t - 71 π) + (-20/27 sin(25/16 - 5 t) - 101/28 sin(11/7 - 4 t) - 167/12 sin(11/7 - 2 t) + 293/14 sin(t + 11/7) + 35/18 sin(3 t + 33/7) + 66/65 sin(6 t + 80/17) + 10191/98) θ(71 π - t) θ(t - 67 π) + (307/18 sin(t + 27/17) + 367/12 sin(2 t + 19/12) + 153/16 sin(3 t + 33/7) + 106/13 sin(4 t + 19/12) + 13/17 sin(5 t + 12/7) + 25/17 sin(6 t + 29/18) + 5/17 sin(7 t + 9/5) - 4937/25) θ(67 π - t) θ(t - 63 π) + (-9/16 sin(11/7 - 10 t) - 38/25 sin(25/16 - 8 t) + 333/16 sin(t + 11/7) + 1004/23 sin(2 t + 33/7) + 165/31 sin(3 t + 33/7) + 29/12 sin(4 t + 33/7) + 8/3 sin(5 t + 19/12) + 27/8 sin(6 t + 33/7) + 27/17 sin(7 t + 47/10) + 11/13 sin(9 t + 11/7) + 9/19 sin(11 t + 47/10) + 74/73 sin(12 t + 33/7) - 2765/13) θ(63 π - t) θ(t - 59 π) + (-44/5 sin(25/16 - 3 t) + 1120/13 sin(t + 47/10) + 84/23 sin(2 t + 7/4) + 30/11 sin(4 t + 68/15) + 21/5 sin(5 t + 23/5) + 13/16 sin(6 t + 51/11) - 2483/11) θ(59 π - t) θ(t - 55 π) + (-19/10 sin(25/16 - 7 t) - 77/18 sin(14/9 - 5 t) - 163/19 sin(25/16 - 3 t) - 177/38 sin(17/11 - 2 t) - 1491/16 sin(11/7 - t) + 20/21 sin(4 t + 21/13) + 7/12 sin(6 t + 23/15) + 526/5) θ(55 π - t) θ(t - 51 π) + (451/8 sin(t + 11/7) + 71/35 sin(2 t + 11/7) + 47/9 sin(3 t + 30/19) + 8/11 sin(4 t + 19/12) + 37/19 sin(5 t + 19/12) + 2/15 sin(6 t + 38/21) + 15/13 sin(7 t + 8/5) + 1/18 sin(8 t + 21/5) + 10/13 sin(9 t + 21/13) + 1/23 sin(10 t + 179/45) + 13/27 sin(11 t + 18/11) + 1/33 sin(12 t + 31/12) + 1391/17) θ(51 π - t) θ(t - 47 π) + (-4/9 sin(13/10 - 22 t) - 5/17 sin(5/4 - 20 t) - 9/7 sin(11/7 - 19 t) - 9/11 sin(20/13 - 18 t) - 143/41 sin(17/11 - 13 t) - 1/7 sin(9/8 - 12 t) - 13/14 sin(19/13 - 9 t) - 11/13 sin(24/17 - 8 t) + 570/7 sin(t + 11/7) + 22/9 sin(2 t + 58/39) + 97/14 sin(3 t + 17/11) + 17/13 sin(4 t + 39/29) + 13/12 sin(5 t + 17/12) + 12/35 sin(6 t + 1/5) + 29/13 sin(7 t + 32/21) + 5/14 sin(10 t + 7/5) + 42/13 sin(11 t + 26/17) + 17/10 sin(14 t + 26/17) + 39/19 sin(15 t + 41/27) + 2/3 sin(16 t + 19/13) + 25/16 sin(17 t + 29/19) + 12/25 sin(21 t + 25/16) + 1/7 sin(23 t + 5/6) + 11/17 sin(24 t + 25/19) + 17/15 sin(25 t + 35/26) + 7/17 sin(26 t + 17/15) - 286/5) θ(47 π - t) θ(t - 43 π) + (-1/7 sin(7/8 - 17 t) - 3/7 sin(49/33 - 15 t) - 8/19 sin(2/9 - 13 t) - 19/25 sin(4/21 - 11 t) - 7/15 sin(13/10 - 8 t) - 57/13 sin(12/11 - 6 t) - 91/15 sin(11/9 - 5 t) - 61/19 sin(6/7 - 3 t) - 31/22 sin(1/6 - 2 t) + 32/17 sin(t + 12/5) + 29/10 sin(4 t + 50/11) + 25/8 sin(7 t + 37/17) + 3/7 sin(9 t + 3/13) + 19/29 sin(10 t + 65/22) + 2/5 sin(12 t + 30/11) + 1/16 sin(14 t + 59/15) + 3/20 sin(16 t + 23/7) + 3/20 sin(18 t + 10/7) - 201) θ(43 π - t) θ(t - 39 π) + (-7/3 sin(5/6 - 6 t) - 29/5 sin(11/12 - 4 t) - 35/9 sin(10/13 - 3 t) - 121/61 sin(11/18 - 2 t) + 24/25 sin(t + 3/2) + 41/12 sin(5 t + 37/12) + 15/11 sin(7 t + 1/16) + 10/17 sin(8 t + 13/8) + 1/3 sin(9 t + 19/10) + 6/17 sin(10 t + 19/5) + 5/16 sin(11 t + 21/5) + 2/11 sin(12 t + 13/3) + 1/6 sin(13 t + 17/12) + 2/7 sin(14 t + 1/6) + 1/11 sin(15 t + 58/23) + 1/18 sin(16 t + 8/11) + 1/5 sin(17 t + 41/10) + 3117/38) θ(39 π - t) θ(t - 35 π) + (765/28 sin(t + 9/7) - 2401/12) θ(35 π - t) θ(t - 31 π) + (134/5 sin(t + 17/15) + 403/5) θ(31 π - t) θ(t - 27 π) + (-27/41 sin(1/14 - 11 t) - 9/4 sin(11/9 - 3 t) + 853/14 sin(t + 47/10) + 31/7 sin(2 t + 7/4) + 36/11 sin(4 t + 23/14) + 25/14 sin(5 t + 7/12) + 32/13 sin(6 t + 19/12) + 35/23 sin(7 t + 5/8) + 8/5 sin(8 t + 10/7) + sin(9 t + 3/8) + 7/10 sin(10 t + 13/9) + 3/14 sin(12 t + 85/43) + 2538/35) θ(27 π - t) θ(t - 23 π) + (-28/27 sin(15/11 - 6 t) - 45/34 sin(63/62 - 4 t) - 13/7 sin(8/7 - 2 t) + 1038/19 sin(t + 68/45) + 95/32 sin(3 t + 41/27) + 4/7 sin(5 t + 21/8) + 10/13 sin(7 t + 33/10) + 5/6 sin(8 t + 57/13) + 5/6 sin(9 t + 36/11) + 6/11 sin(10 t + 97/24) + 3/4 sin(11 t + 25/8) + 3/10 sin(12 t + 34/9) - 3329/17) θ(23 π - t) θ(t - 19 π) + (-9/10 sin(10/17 - 12 t) - sin(15/16 - 10 t) - 91/61 sin(14/11 - 8 t) + 2493/22 sin(t + 9/5) + 38/13 sin(2 t + 66/19) + 309/29 sin(3 t + 20/9) + 31/13 sin(4 t + 425/106) + 31/9 sin(5 t + 29/11) + 57/29 sin(6 t + 50/11) + 29/22 sin(7 t + 43/15) + 4/7 sin(9 t + 40/13) + 1/14 sin(11 t + 20/11) - 1474/25) θ(19 π - t) θ(t - 15 π) + (-11/12 sin(7/13 - 10 t) - 29/16 sin(21/17 - 8 t) + 1132/9 sin(t + 20/11) + 93/14 sin(2 t + 52/15) + 59/8 sin(3 t + 41/18) + 280/43 sin(4 t + 311/78) + 31/16 sin(5 t + 8/3) + 25/7 sin(6 t + 76/17) + 11/23 sin(7 t + 45/16) + 2/5 sin(9 t + 5/7) + 9/13 sin(11 t + 13/16) + 5/11 sin(12 t + 1/13) - 883/15) θ(15 π - t) θ(t - 11 π) + (-11/18 sin(2/7 - 18 t) - 53/18 sin(18/13 - 8 t) - 407/15 sin(17/13 - 2 t) + 110/13 sin(t + 69/16) + 163/9 sin(3 t + 11/8) + 19/3 sin(4 t + 49/11) + 107/10 sin(5 t + 31/9) + 83/9 sin(6 t + 53/15) + 861/172 sin(7 t + 102/41) + 28/11 sin(9 t + 67/18) + 2 sin(10 t + 15/4) + 19/8 sin(11 t + 27/11) + 23/18 sin(12 t + 1/10) + 37/21 sin(13 t + 7/4) + 3/10 sin(14 t + 26/7) + 13/8 sin(15 t + 58/21) + 5/13 sin(16 t + 94/21) + 1/2 sin(17 t + 19/8) + 2/15 sin(19 t + 23/9) + 5831/18) θ(11 π - t) θ(t - 7 π) + (-13/9 sin(3/2 - 7 t) - 80/13 sin(5/24 - 5 t) + 327/19 sin(t + 19/28) + 419/16 sin(2 t + 16/15) + 82/9 sin(3 t + 48/11) + 941/94 sin(4 t + 8/13) + 24/11 sin(6 t + 13/4) + 19/17 sin(8 t + 21/19) + 6/5 sin(9 t + 95/27) + 17/16 sin(10 t + 23/24) + 9/14 sin(11 t + 10/31) + 11/14 sin(12 t + 36/19) - 6469/17) θ(7 π - t) θ(t - 3 π) + (-sin(17/11 - 24 t) - 8/7 sin(10/19 - 21 t) - 30/13 sin(3/7 - 18 t) - 31/18 sin(27/20 - 14 t) - sin(20/17 - 13 t) - 97/29 sin(5/11 - 11 t) - 42/25 sin(20/39 - 8 t) - 67/8 sin(2/9 - 5 t) - 29 sin(41/31 - 3 t) + 2953/9 sin(t + 17/10) + 67/10 sin(2 t + 91/23) + 164/11 sin(4 t + 13/4) + 187/18 sin(6 t + 20/19) + 80/11 sin(7 t + 2) + 83/15 sin(9 t + 23/8) + 36/11 sin(10 t + 54/13) + 26/15 sin(12 t + 15/14) + 13/6 sin(15 t + 5/7) + 26/15 sin(16 t + 41/18) + 29/18 sin(17 t + 23/6) + 6/11 sin(19 t + 9/11) + 9/11 sin(20 t + 59/18) + 5/9 sin(22 t + 55/27) + 3/11 sin(23 t + 13/7) + 10/11 sin(25 t + 5/9) + 5/11 sin(26 t + 11/6) - 504/13) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-50/13 sin(11/7 - 5 t) + 1819/16 sin(t + 80/17) + 14/5 sin(2 t + 19/12) + 140/13 sin(3 t + 47/10) + 10/17 sin(4 t + 37/23) - 5256/11) θ(131 π - t) θ(t - 127 π) + (-3/4 sin(11/7 - 6 t) - 25/9 sin(11/7 - 4 t) - 89/18 sin(11/7 - 2 t) + 209/35 sin(t + 11/7) + 1/13 sin(3 t + 14/3) + 4/13 sin(5 t + 33/7) + 774/13) θ(127 π - t) θ(t - 123 π) + (-8 sin(11/7 - 2 t) + 61/6 sin(t + 11/7) + sin(3 t + 33/7) + 9/16 sin(4 t + 33/7) - 6000/17) θ(123 π - t) θ(t - 119 π) + (-6/11 sin(25/21 - 72 t) - 2/15 sin(23/19 - 69 t) - 3/11 sin(25/16 - 65 t) - 12/25 sin(27/19 - 63 t) - 6/11 sin(41/27 - 53 t) - 6/19 sin(8/7 - 52 t) - 13/15 sin(13/9 - 51 t) - 7/8 sin(22/15 - 49 t) - 5/11 sin(20/13 - 45 t) - 9/16 sin(14/9 - 43 t) - 3/11 sin(13/15 - 42 t) - 3/10 sin(24/19 - 40 t) - 16/9 sin(25/17 - 39 t) - 2/3 sin(7/5 - 38 t) - 40/19 sin(16/11 - 37 t) - 7/11 sin(9/7 - 36 t) - 13/16 sin(25/17 - 35 t) - 14/11 sin(38/25 - 25 t) - 22/13 sin(17/11 - 23 t) - 14/9 sin(3/2 - 12 t) - 28/9 sin(14/9 - 10 t) - 29/9 sin(59/39 - 8 t) - 4544/15 sin(25/16 - 2 t) - 1255/22 sin(25/16 - t) + 520/11 sin(3 t + 30/19) + 330/17 sin(4 t + 33/7) + 312/11 sin(5 t + 27/17) + 64/11 sin(6 t + 29/18) + 158/17 sin(7 t + 27/17) + 42/11 sin(9 t + 29/18) + 39/17 sin(11 t + 37/23) + 28/11 sin(13 t + 8/5) + 41/15 sin(14 t + 8/5) + 115/14 sin(15 t + 13/8) + 124/19 sin(16 t + 13/8) + 63/10 sin(17 t + 13/8) + 109/20 sin(18 t + 18/11) + 94/15 sin(19 t + 23/14) + 88/27 sin(20 t + 18/11) + 55/18 sin(21 t + 22/13) + 20/11 sin(22 t + 43/26) + 11/23 sin(24 t + 41/27) + 25/16 sin(26 t + 23/14) + 1/7 sin(27 t + 113/56) + 19/11 sin(28 t + 28/17) + 17/12 sin(29 t + 32/19) + 14/5 sin(30 t + 23/14) + 26/15 sin(31 t + 27/16) + 21/8 sin(32 t + 18/11) + 7/13 sin(33 t + 7/4) + 14/11 sin(34 t + 8/5) + 7/12 sin(41 t + 14/3) + 28/13 sin(44 t + 17/10) + 9/8 sin(46 t + 5/3) + 12/19 sin(47 t + 15/8) + 2/7 sin(48 t + 13/9) + 7/6 sin(50 t + 38/23) + 29/28 sin(54 t + 29/17) + 1/18 sin(55 t + 18/7) + 1/9 sin(56 t + 23/17) + 6/19 sin(57 t + 47/10) + 25/13 sin(58 t + 7/4) + 1/13 sin(59 t + 137/34) + 3/8 sin(60 t + 40/23) + 3/5 sin(61 t + 21/11) + 5/13 sin(62 t + 19/12) + 19/20 sin(64 t + 38/21) + 2/7 sin(66 t + 25/18) + 2/5 sin(67 t + 45/22) + 3/13 sin(68 t + 38/23) + 15/13 sin(70 t + 9/5) + 4/11 sin(71 t + 29/14) + 2351/13) θ(119 π - t) θ(t - 115 π) + (-57/17 sin(14/9 - 96 t) - 31/14 sin(14/9 - 92 t) - 22/7 sin(64/43 - 87 t) - 7/6 sin(13/17 - 85 t) - 28/9 sin(23/18 - 81 t) - 29/17 sin(13/9 - 80 t) - 149/33 sin(16/11 - 75 t) - 13/18 sin(16/31 - 63 t) - 1/7 sin(17/15 - 50 t) - 107/27 sin(52/35 - 32 t) - 70/13 sin(44/29 - 26 t) - 30/29 sin(13/9 - 20 t) - 10/19 sin(4/5 - 18 t) + 287/10 sin(t + 61/13) + 1168/7 sin(2 t + 80/17) + 241/14 sin(3 t + 8/5) + 620/9 sin(4 t + 80/17) + 116/23 sin(5 t + 23/14) + 19/2 sin(6 t + 32/21) + 211/5 sin(7 t + 14/9) + 227/35 sin(8 t + 19/12) + 145/14 sin(9 t + 79/17) + 73/7 sin(10 t + 17/11) + 403/10 sin(11 t + 20/13) + 81/8 sin(12 t + 3/2) + 129/17 sin(13 t + 51/11) + 77/17 sin(14 t + 41/9) + 100/19 sin(15 t + 17/11) + 125/13 sin(16 t + 3/2) + 256/13 sin(17 t + 23/15) + 118/19 sin(19 t + 19/12) + 6/5 sin(21 t + 13/9) + 43/12 sin(22 t + 60/13) + 200/21 sin(23 t + 121/26) + 91/15 sin(24 t + 65/14) + 57/13 sin(25 t + 23/5) + 118/15 sin(27 t + 44/29) + 86/15 sin(28 t + 51/11) + 513/64 sin(29 t + 55/12) + 34/11 sin(30 t + 75/16) + 109/9 sin(31 t + 17/11) + 65/9 sin(33 t + 29/19) + 113/11 sin(34 t + 64/43) + 83/19 sin(35 t + 25/17) + 15/23 sin(36 t + 17/8) + 65/16 sin(37 t + 21/13) + 30/17 sin(38 t + 17/11) + 67/21 sin(39 t + 20/13) + 11/3 sin(40 t + 22/13) + 45/34 sin(41 t + 29/17) + 45/11 sin(42 t + 38/25) + 811/81 sin(43 t + 62/41) + 59/16 sin(44 t + 21/13) + 9/16 sin(45 t + 57/16) + 113/20 sin(46 t + 29/19) + 61/9 sin(47 t + 47/31) + 40/19 sin(48 t + 55/12) + 57/13 sin(49 t + 27/16) + 85/19 sin(51 t + 14/9) + 90/17 sin(52 t + 10/7) + 95/22 sin(53 t + 23/16) + 37/9 sin(54 t + 37/25) + 9/19 sin(55 t + 34/23) + 20/9 sin(56 t + 25/17) + 5/11 sin(57 t + 26/11) + 74/17 sin(58 t + 41/9) + 8/7 sin(59 t + 31/22) + 13/7 sin(60 t + 27/17) + 288/41 sin(61 t + 78/17) + 13/12 sin(62 t + 35/9) + 13/18 sin(64 t + 19/13) + 163/35 sin(65 t + 112/25) + sin(66 t + 19/5) + 8/7 sin(67 t + 11/14) + 122/15 sin(68 t + 31/22) + 203/37 sin(69 t + 29/23) + 50/11 sin(70 t + 16/13) + 38/11 sin(71 t + 17/11) + 24/5 sin(72 t + 85/19) + 134/15 sin(73 t + 50/11) + 82/19 sin(74 t + 37/25) + 125/22 sin(76 t + 86/19) + 70/19 sin(77 t + 17/4) + 152/23 sin(78 t + 47/10) + 92/37 sin(79 t + 17/11) + 47/10 sin(82 t + 14/9) + 121/16 sin(83 t + 14/3) + 33/10 sin(84 t + 19/12) + 11/12 sin(86 t + 12/7) + 29/13 sin(88 t + 21/16) + 49/50 sin(89 t + 53/12) + 137/17 sin(90 t + 58/13) + 43/21 sin(91 t + 125/34) + 143/21 sin(93 t + 7/5) + 20/11 sin(94 t + 5/11) + 36/5 sin(95 t + 3/2) + 58/15 sin(97 t + 21/13) + 5/12 sin(98 t + 2/3) + 8/19 sin(99 t + 34/13) + 15/14 sin(100 t + 29/7) + 18/13 sin(101 t + 9/8) + 61/17 sin(102 t + 29/23) + 4/5 sin(103 t + 15/16) + 24/17 sin(104 t + 49/12) + 3289/15) θ(115 π - t) θ(t - 111 π) + (-31/46 sin(25/16 - 6 t) - 9/11 sin(11/7 - 5 t) - sin(11/7 - 4 t) - 25/12 sin(11/7 - 3 t) - 81/13 sin(11/7 - 2 t) - 1681/56 sin(11/7 - t) - 1212/17) θ(111 π - t) θ(t - 107 π) + (-4/17 sin(26/17 - 7 t) - 15/29 sin(14/9 - 6 t) + 441/10 sin(t + 33/7) + 50/11 sin(2 t + 117/25) + 48/13 sin(3 t + 14/3) + 6/25 sin(4 t + 81/19) + 20/13 sin(5 t + 61/13) - 919/12) θ(107 π - t) θ(t - 103 π) + (-23/7 sin(14/9 - 7 t) + 141/11 sin(t + 11/7) + 393/13 sin(2 t + 25/16) + 22/17 sin(3 t + 35/23) + 127/7 sin(4 t + 25/16) + 50/13 sin(5 t + 23/15) + 123/10 sin(6 t + 25/16) + 25/7 sin(8 t + 25/16) + 8/15 sin(9 t + 7/5) + 37/13 sin(10 t + 25/16) + 39/10 sin(11 t + 47/10) + 17/18 sin(12 t + 65/14) + 8/3 sin(13 t + 32/21) + 25/21 sin(14 t + 29/19) + 12/35 sin(15 t + 40/27) + 59/30 sin(16 t + 29/19) + 28/15 sin(17 t + 145/31) + 9/10 sin(18 t + 26/17) + 24/13 sin(19 t + 50/33) + 5/13 sin(20 t + 40/27) + 7/5 sin(21 t + 28/19) + 10/29 sin(22 t + 11/7) - 3742/13) θ(103 π - t) θ(t - 99 π) + (-4/17 sin(14/9 - 24 t) - 7/10 sin(14/9 - 23 t) - 1/10 sin(19/13 - 22 t) - 8/11 sin(14/9 - 19 t) - 1/86 sin(10/13 - 18 t) - 3/19 sin(40/27 - 17 t) - 14/17 sin(25/16 - 16 t) - 10/11 sin(14/9 - 7 t) - 3/4 sin(11/7 - 4 t) + 4/3 sin(t + 11/7) + 19/5 sin(2 t + 11/7) + 11/12 sin(3 t + 33/7) + 11/32 sin(5 t + 25/16) + 1/8 sin(6 t + 30/19) + 4/5 sin(8 t + 80/17) + 1/7 sin(9 t + 103/22) + 13/12 sin(10 t + 11/7) + 1/79 sin(11 t + 28/9) + 35/18 sin(12 t + 11/7) + sin(13 t + 80/17) + 1/4 sin(14 t + 61/13) + 7/17 sin(15 t + 25/16) + 5/13 sin(20 t + 14/9) + 4/7 sin(21 t + 11/7) + 6/25 sin(25 t + 17/11) + 1/56 sin(26 t + 13/8) + 1/139 sin(27 t + 75/37) + 1/16 sin(28 t + 38/23) + 1/47 sin(29 t + 59/14) + 1/12 sin(30 t + 55/12) + 1/45 sin(31 t + 115/27) + 3/11 sin(32 t + 29/18) - 1766/15) θ(99 π - t) θ(t - 95 π) + (-25/49 sin(24/17 - 27 t) - 15/31 sin(18/13 - 26 t) - 1/23 sin(24/25 - 22 t) - 2/3 sin(28/19 - 21 t) - 4/9 sin(7/5 - 18 t) - 43/17 sin(68/45 - 15 t) - 1/18 sin(77/51 - 11 t) - 14/17 sin(26/17 - 10 t) - 10/7 sin(23/15 - 8 t) - 1/48 sin(19/15 - 7 t) + 16/19 sin(t + 19/12) + 28/5 sin(2 t + 19/12) + 6/13 sin(3 t + 18/11) + 19/11 sin(4 t + 19/12) + 9/28 sin(5 t + 47/10) + 2/7 sin(6 t + 30/19) + 2/13 sin(9 t + 73/49) + 3/17 sin(12 t + 14/9) + 7/13 sin(13 t + 19/11) + 8/11 sin(14 t + 19/12) + 24/19 sin(16 t + 13/8) + 2/15 sin(17 t + 50/11) + 3/8 sin(19 t + 17/10) + 9/16 sin(20 t + 5/3) + 1/29 sin(23 t + 41/11) + 12/17 sin(24 t + 27/16) + 1/4 sin(25 t + 25/14) + 2/11 sin(29 t + 40/23) + 5/19 sin(30 t + 37/21) - 1368/13) θ(95 π - t) θ(t - 91 π) + (-10/17 sin(13/9 - 35 t) - 1/4 sin(22/15 - 27 t) - 3/19 sin(14/9 - 22 t) + 308/23 sin(t + 33/7) + 86/7 sin(2 t + 33/7) + 133/16 sin(3 t + 33/7) + 151/18 sin(4 t + 33/7) + 56/15 sin(5 t + 47/10) + 19/7 sin(6 t + 33/7) + 8/11 sin(7 t + 33/7) + 30/13 sin(8 t + 47/10) + 3/4 sin(9 t + 89/19) + 17/16 sin(10 t + 33/7) + 13/11 sin(11 t + 80/17) + 8/7 sin(12 t + 47/10) + 17/16 sin(13 t + 20/13) + 8/15 sin(14 t + 25/16) + 4/3 sin(15 t + 80/17) + 1/6 sin(16 t + 25/16) + 4/11 sin(17 t + 14/3) + 1/4 sin(18 t + 3/2) + 9/16 sin(19 t + 14/3) + 23/17 sin(20 t + 47/10) + 22/15 sin(21 t + 17/11) + 17/14 sin(23 t + 47/10) + 1/27 sin(24 t + 9/17) + 9/11 sin(25 t + 75/16) + 19/15 sin(26 t + 20/13) + 2/15 sin(28 t + 25/13) + 22/19 sin(29 t + 23/15) + 10/13 sin(30 t + 27/17) + 5/4 sin(31 t + 14/3) + 13/12 sin(32 t + 14/9) + 2/3 sin(33 t + 47/10) + 1/3 sin(34 t + 27/17) + 3/19 sin(36 t + 31/17) + 8/13 sin(37 t + 30/19) + 19/17 sin(38 t + 49/33) + 125/63 sin(39 t + 135/29) + 19/18 sin(40 t + 78/17) + 25/11 sin(41 t + 46/31) + 27/11 sin(42 t + 11/7) + 11/18 sin(43 t + 14/3) + 8/5 sin(44 t + 74/49) - 85/42) θ(91 π - t) θ(t - 87 π) + (-37/13 sin(14/9 - 31 t) - 15/16 sin(11/7 - 28 t) - 2/15 sin(18/17 - 22 t) - 2/7 sin(71/47 - 20 t) - 1/2 sin(43/29 - 16 t) - 193/96 sin(11/7 - 10 t) - 8/7 sin(14/9 - 8 t) - 12/11 sin(14/9 - 6 t) - 133/17 sin(11/7 - 2 t) + 75/8 sin(t + 11/7) + 23/16 sin(3 t + 75/16) + 27/8 sin(4 t + 80/17) + 17/25 sin(5 t + 89/19) + 35/19 sin(7 t + 30/19) + 6/5 sin(9 t + 19/12) + 2/7 sin(11 t + 17/10) + 26/21 sin(12 t + 47/10) + 9/23 sin(13 t + 79/17) + 2/7 sin(14 t + 17/12) + 23/10 sin(15 t + 14/9) + 2/5 sin(17 t + 18/11) + 13/9 sin(18 t + 75/16) + 8/17 sin(19 t + 23/5) + 19/17 sin(21 t + 11/7) + 16/13 sin(23 t + 25/16) + 3/16 sin(24 t + 73/49) + 37/23 sin(25 t + 80/17) + 8/13 sin(26 t + 5/3) + 1/9 sin(27 t + 79/17) + 6/5 sin(29 t + 17/11) + 17/10 sin(30 t + 14/9) + 21/10 sin(32 t + 5/3) + 341/85 sin(33 t + 61/13) + 13/15 sin(34 t + 23/15) + 43/13 sin(35 t + 67/45) + 6/5 sin(36 t + 13/9) + 23/15 sin(37 t + 37/8) + 26/11 sin(38 t + 79/17) + 13/22 sin(39 t + 17/10) + 11/12 sin(40 t + 117/25) + 37/23 sin(41 t + 51/11) + 1/5 sin(42 t + 73/17) + 4/15 sin(43 t + 20/13) + 8/11 sin(44 t + 13/9) + 3/4 sin(45 t + 17/12) + 26/15 sin(46 t + 46/31) + 15/22 sin(47 t + 11/8) + 2/5 sin(48 t + 8/5) + 16/31 sin(49 t + 51/11) - 119/16) θ(87 π - t) θ(t - 83 π) + (-11/13 sin(11/7 - 9 t) - 4/3 sin(41/27 - 5 t) + 927/7 sin(t + 33/7) + 447/8 sin(2 t + 11/7) + 25/11 sin(3 t + 23/16) + 55/4 sin(4 t + 11/7) + 113/17 sin(6 t + 25/16) + 11/32 sin(7 t + 7/5) + 23/8 sin(8 t + 11/7) + 35/17 sin(10 t + 17/11) + 3/7 sin(11 t + 17/11) + 23/12 sin(12 t + 14/9) - 22687/41) θ(83 π - t) θ(t - 79 π) + (-2048/19 sin(25/16 - t) + 711/13 sin(2 t + 19/12) + 22/7 sin(3 t + 47/10) + 115/8 sin(4 t + 19/12) + 7/18 sin(5 t + 9/2) + 81/14 sin(6 t + 19/12) - 7851/13) θ(79 π - t) θ(t - 75 π) + (-155/17 sin(11/7 - 3 t) - 911/11 sin(11/7 - t) + 7/9 sin(2 t + 17/11) + 1/14 sin(4 t + 50/11) + 88/27 sin(5 t + 80/17) + 1/9 sin(6 t + 107/23) - 14441/38) θ(75 π - t) θ(t - 71 π) + (-77/15 sin(11/7 - 3 t) - 14/5 sin(11/7 - 2 t) + 499/9 sin(t + 33/7) + 6/11 sin(4 t + 27/17) + 31/17 sin(5 t + 80/17) + 1/7 sin(6 t + 70/47) - 2695/8) θ(71 π - t) θ(t - 67 π) + (-21/10 sin(26/17 - 7 t) - 23/8 sin(29/19 - 5 t) - 77/31 sin(41/27 - 4 t) - 111/13 sin(25/16 - 3 t) - 68/15 sin(37/25 - 2 t) - 2154/19 sin(25/16 - t) - 3943/10) θ(67 π - t) θ(t - 63 π) + (-1/8 sin(25/16 - 8 t) - 74/15 sin(11/7 - 3 t) + 33/20 sin(t + 33/7) + 113/12 sin(2 t + 33/7) + 30/13 sin(4 t + 11/7) + 4/3 sin(5 t + 11/7) + 1/17 sin(6 t + 51/11) + 16/11 sin(7 t + 33/7) + 6/13 sin(9 t + 25/16) + 5/11 sin(10 t + 11/7) + 11/17 sin(11 t + 33/7) + 2/9 sin(12 t + 47/10) - 4082/29) θ(63 π - t) θ(t - 59 π) + (-5/17 sin(27/19 - 6 t) - 13/10 sin(16/11 - 4 t) + 423/19 sin(t + 89/19) + 399/20 sin(2 t + 75/16) + 171/49 sin(3 t + 8/5) + 61/26 sin(5 t + 20/13) - 1201/15) θ(59 π - t) θ(t - 55 π) + (-16/7 sin(14/9 - 7 t) - 9/2 sin(25/16 - 5 t) - 14/3 sin(25/16 - 3 t) - 192/11 sin(11/7 - 2 t) + 257/17 sin(t + 11/7) + 24/25 sin(4 t + 14/9) + 23/16 sin(6 t + 30/19) - 401/6) θ(55 π - t) θ(t - 51 π) + (-9/13 sin(11/7 - 5 t) - 41/15 sin(11/7 - 3 t) - 85/8 sin(11/7 - t) + 311/52 sin(2 t + 11/7) + 29/17 sin(4 t + 30/19) + 8/15 sin(6 t + 19/12) + 3/13 sin(7 t + 47/10) + 3/16 sin(8 t + 27/17) + 1/12 sin(9 t + 13/8) + 2/15 sin(10 t + 8/5) + 1/66 sin(11 t + 13/7) + 1/8 sin(12 t + 27/17) - 263/2) θ(51 π - t) θ(t - 47 π) + (-3/4 sin(23/15 - 25 t) - 29/30 sin(19/16 - 16 t) - 55/7 sin(25/16 - 14 t) - 9/14 sin(25/21 - 7 t) + 4/5 sin(t + 3/2) + 102/19 sin(2 t + 17/11) + 11/13 sin(3 t + 21/16) + 29/16 sin(4 t + 29/19) + 11/14 sin(5 t + 14/11) + 1/18 sin(6 t + 35/9) + 219/44 sin(8 t + 21/13) + 8/5 sin(9 t + 61/13) + 133/44 sin(10 t + 37/8) + 5/2 sin(11 t + 65/14) + 98/13 sin(12 t + 30/19) + 27/7 sin(13 t + 47/10) + 35/8 sin(15 t + 20/13) + 59/10 sin(17 t + 26/17) + 15/8 sin(18 t + 13/10) + 5/13 sin(19 t + 11/7) + 1/3 sin(20 t + 6/13) + 35/16 sin(21 t + 51/11) + 17/11 sin(22 t + 163/35) + 1/2 sin(23 t + 53/12) + 23/16 sin(24 t + 12/7) + 5/13 sin(26 t + 38/21) - 6836/17) θ(47 π - t) θ(t - 43 π) + (-32/13 sin(1/8 - 4 t) - 52/29 sin(27/26 - 2 t) + 45/44 sin(t + 10/13) + 7/10 sin(3 t + 26/17) + 73/15 sin(5 t + 7/11) + 35/8 sin(6 t + 3/8) + 37/9 sin(7 t + 32/9) + 78/77 sin(8 t + 26/27) + 3/17 sin(9 t + 25/13) + 3/10 sin(10 t + 1/14) + 11/32 sin(11 t + 41/14) + 1/23 sin(12 t + 6/11) + 7/18 sin(13 t + 12/13) + 2/7 sin(14 t + 45/23) + 5/14 sin(15 t + 1/7) + 2/13 sin(16 t + 33/13) + 2/17 sin(17 t + 11/13) + 2/13 sin(18 t + 41/9) - 1635/19) θ(43 π - t) θ(t - 39 π) + (-37/11 sin(13/10 - 5 t) + 22/19 sin(t + 20/9) + 22/15 sin(2 t + 19/12) + 37/11 sin(3 t + 44/45) + 60/11 sin(4 t + 5/7) + 21/11 sin(6 t + 13/18) + 11/8 sin(7 t + 14/9) + 14/11 sin(8 t + 70/23) + 2/9 sin(9 t + 41/12) + 10/17 sin(10 t + 74/17) + 8/13 sin(11 t + 3/14) + 2/13 sin(12 t + 13/5) + 4/13 sin(13 t + 11/9) + 5/11 sin(14 t + 23/7) + 6/17 sin(15 t + 4/19) + 2/15 sin(16 t + 41/13) + 1/21 sin(17 t + 18/17) - 2113/27) θ(39 π - t) θ(t - 35 π) + (-373/18 sin(2/7 - t) - 447/5) θ(35 π - t) θ(t - 31 π) + (-734/35 sin(4/9 - t) - 1550/19) θ(31 π - t) θ(t - 27 π) + (-5/14 sin(11/14 - 12 t) - 2/7 sin(8/15 - 11 t) - 5/6 sin(1/2 - 10 t) - 5/7 sin(6/11 - 9 t) - 10/9 sin(5/12 - 8 t) - sin(4/9 - 7 t) - 27/19 sin(8/15 - 6 t) - 12/11 sin(1/5 - 5 t) - 11/5 sin(20/39 - 4 t) - 70/11 sin(7/11 - 2 t) + 206/11 sin(t + 63/20) + 32/15 sin(3 t + 22/17) - 1610/19) θ(27 π - t) θ(t - 23 π) + (-5/11 sin(58/39 - 12 t) - 4/9 sin(16/17 - 11 t) - 3/8 sin(3/8 - 9 t) - 4/7 sin(10/9 - 8 t) - 5/8 sin(10/17 - 7 t) - 4/7 sin(5/4 - 6 t) - 11/13 sin(7/13 - 5 t) - 34/19 sin(7/9 - 4 t) - 77/18 sin(49/50 - 2 t) + 139/7 sin(t + 85/28) + 11/34 sin(3 t + 7/17) + 5/8 sin(10 t + 93/20) - 1025/11) θ(23 π - t) θ(t - 19 π) + (-7/12 sin(11/15 - 11 t) - 28/29 sin(19/16 - 9 t) - 1/8 sin(19/16 - 7 t) + 283/9 sin(t + 27/8) + 250/17 sin(2 t + 45/22) + 41/11 sin(3 t + 61/14) + 40/23 sin(4 t + 31/13) + 28/17 sin(5 t + 108/25) + 14/9 sin(6 t + 50/19) + 6/11 sin(8 t + 47/12) + 21/32 sin(10 t + 36/11) + 17/33 sin(12 t + 571/190) - 4336/11) θ(19 π - t) θ(t - 15 π) + (-10/31 sin(10/7 - 11 t) - 11/17 sin(21/16 - 9 t) - 5/16 sin(15/19 - 8 t) - 4/5 sin(23/17 - 7 t) + 400/7 sin(t + 27/8) + 307/16 sin(2 t + 17/9) + 30/13 sin(3 t + 71/19) + 35/13 sin(4 t + 8/3) + 26/25 sin(5 t + 77/19) + 1/84 sin(6 t + 49/17) + 2/9 sin(10 t + 17/11) + 3/11 sin(12 t + 16/19) - 4019/10) θ(15 π - t) θ(t - 11 π) + (-3/10 sin(5/14 - 19 t) - 2/3 sin(5/21 - 18 t) - 3/11 sin(5/17 - 15 t) - 33/65 sin(7/13 - 10 t) + 1119/26 sin(t + 37/18) + 547/6 sin(2 t + 76/17) + 95/9 sin(3 t + 43/12) + 107/32 sin(4 t + 18/11) + 22/3 sin(5 t + 37/22) + 90/19 sin(6 t + 35/9) + 12/7 sin(7 t + 20/7) + 17/9 sin(8 t + 1/13) + 52/15 sin(9 t + 17/26) + 3/5 sin(11 t + 29/28) + 8/9 sin(12 t + 1/13) + 49/24 sin(13 t + 3/8) + 10/13 sin(14 t + 3/16) + 11/21 sin(16 t + 135/29) + 7/11 sin(17 t + 5/17) - 4237/22) θ(11 π - t) θ(t - 7 π) + (-4/11 sin(1 - 6 t) - 264/53 sin(11/8 - 5 t) - 419/37 sin(19/15 - 4 t) - 959/19 sin(26/17 - 2 t) + 1729/24 sin(t + 59/13) + 302/19 sin(3 t + 5/3) + 17/7 sin(7 t + 43/10) + 43/13 sin(8 t + 134/31) + 14/9 sin(9 t + 11/5) + 14/27 sin(10 t + 79/18) + 5/11 sin(11 t + 79/21) + 7/10 sin(12 t + 19/16) - 783/4) θ(7 π - t) θ(t - 3 π) + (-5/4 sin(13/9 - 24 t) - 11/16 sin(4/9 - 19 t) - 32/11 sin(2/3 - 15 t) - 82/17 sin(6/5 - 11 t) - 39/2 sin(13/15 - 4 t) + 39219/74 sin(t + 59/18) + 107/3 sin(2 t + 41/21) + 233/16 sin(3 t + 10/13) + 167/22 sin(5 t + 1/20) + 530/59 sin(6 t + 37/12) + 9/13 sin(7 t + 61/18) + 131/28 sin(8 t + 2/3) + 19/10 sin(9 t + 5/3) + 51/10 sin(10 t + 95/26) + 33/8 sin(12 t + 13/20) + 23/6 sin(13 t + 25/12) + 39/10 sin(14 t + 61/16) + 18/13 sin(16 t + 10/7) + 10/9 sin(17 t + 48/17) + 4/3 sin(18 t + 59/15) + 2/9 sin(20 t + 45/34) + 40/39 sin(21 t + 8/15) + 19/20 sin(22 t + 20/9) + 13/14 sin(23 t + 65/19) + 9/7 sin(25 t + 6/17) + 9/11 sin(26 t + 32/15) - 4007/16) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

スティーブ・ジョブズ(Steve Jobs)

x(t) = ((-23/28 sin(47/30 - 5 t) - 602/39 sin(91/58 - t) + 109/23 sin(2 t + 11/7) + 4/3 sin(3 t + 113/24) + 55/46 sin(4 t + 11/7) + 1553/34) θ(115 π - t) θ(t - 111 π) + (-21/40 sin(81/52 - 8 t) - 22/29 sin(61/39 - 6 t) - 73/12 sin(91/58 - 2 t) + 425/21 sin(t + 74/47) + 7/3 sin(3 t + 47/30) + 46/45 sin(4 t + 221/47) + 12/23 sin(5 t + 31/20) + 17/25 sin(7 t + 19/12) + 4/19 sin(9 t + 59/38) - 587/19) θ(111 π - t) θ(t - 107 π) + (-64/25 sin(43/28 - 17 t) - 150/29 sin(48/31 - 16 t) - 104/33 sin(61/39 - 15 t) - 69/34 sin(36/23 - 11 t) - 242/41 sin(39/25 - 10 t) - 562/37 sin(67/43 - 6 t) - 835/27 sin(58/37 - 3 t) + 11842/23 sin(t + 11/7) + 108/11 sin(2 t + 41/26) + 643/33 sin(4 t + 68/43) + 215/26 sin(5 t + 41/26) + 119/18 sin(7 t + 46/29) + 57/11 sin(8 t + 67/42) + 260/21 sin(9 t + 49/31) + 55/26 sin(12 t + 27/17) + 76/15 sin(13 t + 73/46) + 162/29 sin(14 t + 46/29) + 149/51 sin(18 t + 35/22) + 69/32 sin(19 t + 80/51) + 17/27 sin(20 t + 113/24) + 8/19 sin(21 t + 65/37) + 5/38 sin(22 t + 27/17) + 27/31 sin(23 t + 73/47) + 19/21 sin(24 t + 21/13) - 134/89) θ(107 π - t) θ(t - 103 π) + (-4/43 sin(3/2 - 12 t) - 2/15 sin(14/9 - 10 t) - 15/59 sin(43/28 - 8 t) - 12/25 sin(57/37 - 4 t) - 189/190 sin(63/43 - 2 t) + 1722/11 sin(t + 80/51) + 169/10 sin(3 t + 11/7) + 109/18 sin(5 t + 85/54) + 13/46 sin(6 t + 173/37) + 43/15 sin(7 t + 11/7) + 130/71 sin(9 t + 63/40) + 29/24 sin(11 t + 39/25) + 626/25) θ(103 π - t) θ(t - 99 π) + (-11/39 sin(48/31 - 11 t) + 2924/35 sin(t + 85/54) + 461/35 sin(2 t + 74/47) + 45/7 sin(3 t + 41/26) + 41/27 sin(4 t + 27/17) + 245/68 sin(5 t + 30/19) + 11/23 sin(6 t + 57/35) + 4/43 sin(7 t + 51/28) + 32/43 sin(8 t + 59/37) + 41/61 sin(9 t + 8/5) + 29/38 sin(10 t + 35/22) + 10/17 sin(12 t + 50/31) + 7/26 sin(13 t + 65/41) + 7/27 sin(14 t + 76/47) + 19/30 sin(15 t + 34/21) + 3/23 sin(16 t + 99/62) + 3/11 sin(17 t + 53/33) + 17/31 sin(18 t + 57/35) + 4/17 sin(19 t + 50/31) + 1/34 sin(20 t + 80/51) + 4/25 sin(21 t + 51/31) + 3/31 sin(22 t + 71/44) + 5/21 sin(23 t + 41/25) + 7/20 sin(24 t + 18/11) + 3/29 sin(25 t + 21/13) + 5111/22) θ(99 π - t) θ(t - 95 π) + (3642/43 sin(t + 52/33) + 409/62 sin(2 t + 63/40) + 194/35 sin(3 t + 41/26) + 31/13 sin(4 t + 65/41) + 24/13 sin(5 t + 41/26) + 31/24 sin(6 t + 62/39) + 42/125 sin(7 t + 21/13) + 25/22 sin(8 t + 51/32) + 7/29 sin(9 t + 85/57) + 23/27 sin(10 t + 53/33) + 7/12 sin(11 t + 149/93) + 7/26 sin(12 t + 37/24) + 7/24 sin(13 t + 29/18) + 28/85 sin(14 t + 74/47) + 4/17 sin(15 t + 45/28) + 54/109 sin(16 t + 57/35) + 2/13 sin(17 t + 163/98) + 1/41 sin(18 t + 41/33) + 1/48 sin(19 t + 22/15) + 4/19 sin(20 t + 38/23) + 4/35 sin(21 t + 82/49) + 1/46 sin(22 t + 38/29) + 15/76 sin(23 t + 47/28) - 6085/28) θ(95 π - t) θ(t - 91 π) + (-96/193 sin(3/2 - 10 t) - 59/76 sin(39/25 - 9 t) - 11/21 sin(37/24 - 8 t) - 35/23 sin(31/20 - 7 t) - 56/75 sin(55/37 - 6 t) - 305/89 sin(14/9 - 5 t) - 13/30 sin(14/9 - 4 t) - 149/14 sin(47/30 - 3 t) - 4681/38 sin(58/37 - t) + 43/35 sin(2 t + 16/11) - 4021/17) θ(91 π - t) θ(t - 87 π) + (-53/28 sin(39/25 - 5 t) - 2753/26 sin(102/65 - t) + 117/29 sin(2 t + 47/10) + 376/49 sin(3 t + 127/27) + 61/24 sin(4 t + 249/53) + 44/39 sin(6 t + 80/17) + 32/37 sin(7 t + 108/23) + 5441/20) θ(87 π - t) θ(t - 83 π) + (-17/25 sin(65/43 - 39 t) - 17/35 sin(39/25 - 35 t) - 47/30 sin(71/47 - 33 t) - 111/112 sin(67/43 - 30 t) - 5/24 sin(38/31 - 28 t) - 55/29 sin(32/21 - 27 t) - 82/29 sin(17/11 - 25 t) - 98/37 sin(17/11 - 21 t) - 25/22 sin(113/72 - 18 t) - 101/33 sin(29/19 - 17 t) - 46/29 sin(54/37 - 16 t) - 409/37 sin(17/11 - 15 t) - 16 sin(59/38 - 13 t) - 97/58 sin(223/149 - 10 t) - 169/47 sin(53/34 - 9 t) - 1261/123 sin(45/29 - 6 t) - 217/26 sin(14/9 - 5 t) - 645/26 sin(25/16 - 4 t) - 73/14 sin(49/32 - 3 t) - 724/11 sin(58/37 - 2 t) + 2369/16 sin(t + 107/68) + 51/20 sin(7 t + 55/34) + 210/31 sin(8 t + 27/17) + 81/26 sin(11 t + 169/36) + 203/16 sin(12 t + 46/29) + 32/13 sin(14 t + 47/31) + 93/34 sin(19 t + 60/37) + 55/21 sin(20 t + 83/52) + 55/73 sin(22 t + 36/23) + 141/58 sin(23 t + 61/37) + 7/4 sin(24 t + 49/31) + 25/13 sin(26 t + 46/29) + 21/22 sin(29 t + 148/89) + 121/69 sin(31 t + 50/31) + 4/23 sin(32 t + 202/43) + 39/44 sin(34 t + 8/5) + 8/17 sin(36 t + 50/31) + 7/8 sin(37 t + 212/45) + 39/31 sin(38 t + 8/5) + 1/63 sin(40 t + 55/36) - 418/23) θ(83 π - t) θ(t - 79 π) + (-71/63 sin(11/14 - 106 t) - 29/26 sin(57/64 - 103 t) - 23/20 sin(100/101 - 97 t) - 53/62 sin(51/46 - 93 t) - 283/85 sin(19/23 - 90 t) - 60/29 sin(33/38 - 89 t) - 45/34 sin(31/28 - 85 t) - 49/30 sin(29/37 - 82 t) - 63/31 sin(40/43 - 81 t) - 39/34 sin(758/757 - 78 t) - 31/28 sin(4/5 - 77 t) - 23/21 sin(19/25 - 74 t) - 27/22 sin(19/22 - 73 t) - 9/20 sin(23/24 - 70 t) - 29/31 sin(31/27 - 69 t) - 21/10 sin(46/41 - 67 t) - 15/28 sin(179/178 - 66 t) - 149/87 sin(24/19 - 63 t) - 26/19 sin(32/21 - 59 t) - 9/5 sin(149/119 - 57 t) - 13/20 sin(35/38 - 56 t) - 64/37 sin(54/43 - 54 t) - 57/37 sin(16/13 - 52 t) - 25/31 sin(20/17 - 51 t) - 20/37 sin(53/35 - 47 t) - 29/37 sin(19/14 - 45 t) - 3/19 sin(25/51 - 44 t) - 43/26 sin(4/3 - 41 t) - 79/29 sin(32/27 - 40 t) - 47/19 sin(136/109 - 36 t) - 43/29 sin(41/30 - 35 t) - 97/35 sin(13/10 - 32 t) - 166/33 sin(29/22 - 31 t) - 45/29 sin(6/5 - 28 t) - 89/17 sin(47/35 - 27 t) - 37/18 sin(18/13 - 24 t) - 88/21 sin(37/27 - 23 t) - 290/27 sin(23/16 - 18 t) - 317/65 sin(295/197 - 15 t) - 280/51 sin(38/29 - 14 t) - 462/19 sin(49/33 - 13 t) - 119/24 sin(32/23 - 10 t) - 479/22 sin(151/101 - 9 t) - 127/32 sin(43/28 - 8 t) - 734/23 sin(48/31 - 5 t) - 1542/37 sin(37/24 - 3 t) - 1003/24 sin(58/37 - 2 t) + 14917/26 sin(t + 30/19) + 68/3 sin(4 t + 43/27) + 86/35 sin(6 t + 43/30) + 1835/86 sin(7 t + 83/51) + 118/27 sin(11 t + 39/22) + 169/12 sin(12 t + 37/23) + 51/40 sin(16 t + 23/14) + 43/32 sin(17 t + 59/43) + 34/25 sin(19 t + 26/15) + 188/19 sin(20 t + 64/37) + 116/43 sin(21 t + 41/22) + 4/41 sin(22 t + 27/109) + 26/9 sin(25 t + 43/24) + 8/13 sin(26 t + 40/27) + 38/17 sin(29 t + 47/26) + 14/31 sin(30 t + 74/47) + 67/15 sin(33 t + 112/61) + 113/29 sin(34 t + 55/29) + 98/43 sin(37 t + 67/34) + 233/42 sin(38 t + 49/26) + 13/29 sin(39 t + 47/10) + 73/55 sin(42 t + 77/40) + 67/43 sin(43 t + 13/7) + 7/22 sin(46 t + 17/9) + 10/21 sin(48 t + 74/41) + 43/37 sin(49 t + 59/28) + 67/34 sin(50 t + 51/26) + 11/15 sin(53 t + 39/25) + 28/31 sin(55 t + 56/33) + 43/47 sin(58 t + 32/21) + 29/11 sin(60 t + 37/21) + 29/17 sin(61 t + 145/31) + 47/37 sin(62 t + 44/27) + 35/33 sin(64 t + 63/29) + 68/19 sin(65 t + 90/43) + 13/15 sin(68 t + 47/25) + 19/8 sin(71 t + 39/19) + 13/46 sin(72 t + 192/47) + 7/19 sin(75 t + 116/25) + 12/11 sin(76 t + 36/17) + 112/41 sin(79 t + 67/30) + 46/27 sin(80 t + 103/45) + 34/31 sin(83 t + 64/27) + 15/17 sin(84 t + 68/31) + 16/19 sin(86 t + 32/23) + 25/33 sin(87 t + 113/31) + 89/35 sin(88 t + 83/40) + 27/28 sin(91 t + 67/29) + 43/30 sin(92 t + 53/24) + 68/67 sin(94 t + 103/54) + 19/29 sin(95 t + 112/37) + 3/13 sin(96 t + 8/27) + 8/23 sin(98 t + 6/17) + 46/91 sin(99 t + 119/27) + 33/19 sin(100 t + 78/37) + 11/24 sin(101 t + 296/71) + 13/25 sin(102 t + 5/23) + 14/33 sin(104 t + 33/16) + 8/27 sin(105 t + 38/17) + 1933/54) θ(79 π - t) θ(t - 75 π) + (-161/29 sin(67/43 - 7 t) - 157/14 sin(67/43 - 5 t) - 11/76 sin(12/29 - 4 t) - 1049/33 sin(53/34 - 3 t) - 12390/43 sin(47/30 - t) + 8/25 sin(2 t + 10/9) + 9/38 sin(6 t + 43/44) + 6/35 sin(8 t + 17/28) + 977/25) θ(75 π - t) θ(t - 71 π) + (-199/30 sin(55/36 - 7 t) - 439/34 sin(53/34 - 5 t) - 22/31 sin(3/34 - 4 t) - 1062/31 sin(53/34 - 3 t) - 17/14 sin(31/29 - 2 t) - 14147/45 sin(39/25 - t) + 32/65 sin(6 t + 13/24) + 75/28) θ(71 π - t) θ(t - 67 π) + (-17/30 sin(39/25 - 10 t) - 2/27 sin(10/7 - 8 t) - 27/22 sin(36/23 - 6 t) + 945/13 sin(t + 11/7) + 32/15 sin(2 t + 47/10) + 296/43 sin(3 t + 61/39) + 27/8 sin(4 t + 80/17) + 61/49 sin(5 t + 113/72) + 27/26 sin(7 t + 27/17) + 9/38 sin(9 t + 17/11) + 7889/32) θ(67 π - t) θ(t - 63 π) + (-39/46 sin(47/30 - 6 t) - 39/97 sin(95/63 - 4 t) - 1213/12 sin(58/37 - t) + 131/24 sin(2 t + 41/26) + 5/24 sin(3 t + 481/103) + 13/20 sin(5 t + 29/18) + 5/24 sin(7 t + 131/28) + 22/31 sin(8 t + 43/27) - 4273/23) θ(63 π - t) θ(t - 59 π) + (-19/30 sin(18/19 - 128 t) - 17/40 sin(27/28 - 120 t) - 39/28 sin(22/19 - 119 t) - 104/89 sin(9/10 - 118 t) - 129/64 sin(59/50 - 117 t) - 58/59 sin(43/47 - 116 t) - 44/59 sin(68/47 - 115 t) - 12/17 sin(15/14 - 108 t) - 11/54 sin(4/23 - 107 t) - 17/32 sin(119/95 - 104 t) - 49/61 sin(28/19 - 100 t) - 31/40 sin(16/17 - 99 t) - 13/18 sin(35/32 - 98 t) - 5/23 sin(4/3 - 97 t) - 8/19 sin(25/17 - 95 t) - 7/9 sin(28/27 - 94 t) - 19/23 sin(25/16 - 87 t) - 27/14 sin(22/17 - 80 t) - 19/17 sin(38/39 - 79 t) - 33/32 sin(53/38 - 71 t) - 44/35 sin(36/29 - 70 t) - 91/37 sin(45/34 - 69 t) - 49/43 sin(40/33 - 68 t) - 169/84 sin(68/47 - 67 t) - 7/31 sin(7/29 - 66 t) - 51/29 sin(24/17 - 65 t) - 29/30 sin(37/28 - 58 t) - 29/34 sin(35/24 - 57 t) - 43/35 sin(80/51 - 51 t) - 34/29 sin(64/49 - 50 t) - 64/27 sin(13/9 - 49 t) - 16/25 sin(19/21 - 46 t) - 210/41 sin(37/25 - 43 t) - 10/19 sin(17/19 - 42 t) - 113/32 sin(34/23 - 41 t) - 248/249 sin(42/29 - 40 t) - 2621/655 sin(37/27 - 38 t) - 58/59 sin(42/29 - 35 t) - 119/30 sin(28/19 - 34 t) - 140/17 sin(28/19 - 30 t) - 95/28 sin(38/27 - 29 t) - 23/34 sin(43/28 - 27 t) - 191/22 sin(65/42 - 21 t) - 85/24 sin(47/30 - 18 t) - 62/37 sin(32/25 - 15 t) - 109/8 sin(31/20 - 14 t) - 1353/25 sin(43/28 - 7 t) - 1544/21 sin(20/13 - 6 t) - 4949/68 sin(14/9 - 2 t) + 8893/23 sin(t + 118/75) + 3443/30 sin(3 t + 30/19) + 3365/23 sin(4 t + 51/32) + 2153/69 sin(5 t + 149/93) + 162/35 sin(8 t + 97/21) + 182/17 sin(9 t + 55/34) + 519/67 sin(10 t + 30/19) + 763/30 sin(11 t + 35/22) + 256/33 sin(12 t + 61/36) + 403/30 sin(13 t + 96/59) + 277/92 sin(16 t + 159/34) + 183/13 sin(17 t + 13/8) + 56/37 sin(19 t + 73/47) + 109/23 sin(20 t + 31/20) + 103/9 sin(22 t + 34/21) + 724/207 sin(23 t + 65/14) + 446/37 sin(24 t + 59/36) + 7 sin(25 t + 69/41) + 73/61 sin(26 t + 101/72) + 33/35 sin(28 t + 186/41) + 41/27 sin(31 t + 63/43) + 67/28 sin(32 t + 131/28) + 19/8 sin(33 t + 20/13) + 21/16 sin(36 t + 87/43) + 3/23 sin(37 t + 85/39) + 11/23 sin(39 t + 49/41) + 11/3 sin(44 t + 67/39) + 95/32 sin(45 t + 85/48) + 96/37 sin(47 t + 107/64) + 32/31 sin(48 t + 100/53) + 94/33 sin(52 t + 58/33) + 39/16 sin(53 t + 34/19) + 115/36 sin(54 t + 83/50) + 69/43 sin(55 t + 46/25) + 212/55 sin(56 t + 39/22) + 17/28 sin(59 t + 42/25) + 7/20 sin(60 t + 149/33) + 79/43 sin(61 t + 46/27) + 3/26 sin(62 t + 92/39) + 41/40 sin(63 t + 70/37) + 10/9 sin(64 t + 41/22) + 23/36 sin(72 t + 15/7) + 293/146 sin(73 t + 67/35) + 41/38 sin(74 t + 57/31) + 26/15 sin(75 t + 53/31) + 27/23 sin(76 t + 13/7) + 5/7 sin(77 t + 59/28) + 25/44 sin(78 t + 37/17) + 19/8 sin(81 t + 35/19) + 8/47 sin(82 t + 85/36) + 11/30 sin(83 t + 31/20) + 207/103 sin(84 t + 53/30) + 1/2 sin(85 t + 153/35) + 44/45 sin(86 t + 63/34) + 21/29 sin(88 t + 75/43) + 11/14 sin(89 t + 32/15) + 37/30 sin(90 t + 53/30) + 19/37 sin(91 t + 19/9) + 199/198 sin(92 t + 40/21) + 1/61 sin(93 t + 11/7) + 3/17 sin(96 t + 75/22) + 1/3 sin(101 t + 52/23) + 13/18 sin(102 t + 136/29) + 41/47 sin(103 t + 13/8) + 67/101 sin(105 t + 52/31) + 6/19 sin(106 t + 70/27) + 12/29 sin(109 t + 61/32) + 47/55 sin(110 t + 63/29) + 32/35 sin(111 t + 2) + 53/41 sin(112 t + 23/13) + 28/43 sin(113 t + 77/41) + 14/13 sin(114 t + 33/17) + 17/42 sin(121 t + 117/40) + 78/79 sin(122 t + 109/55) + 3/10 sin(123 t + 173/38) + 36/35 sin(124 t + 201/101) + 7/10 sin(125 t + 37/16) + 3/43 sin(126 t + 797/199) + 1/8 sin(127 t + 16/19) + 392/33) θ(59 π - t) θ(t - 55 π) + (-14/37 sin(59/38 - 34 t) - 4/15 sin(35/23 - 31 t) - 6/25 sin(54/35 - 23 t) - 5/31 sin(77/51 - 20 t) - 5/23 sin(121/81 - 19 t) - 4/21 sin(14/9 - 18 t) - 54/161 sin(25/16 - 17 t) - 1/76 sin(28/27 - 11 t) + 2943/20 sin(t + 11/7) + 317/37 sin(2 t + 52/33) + 329/32 sin(3 t + 11/7) + 184/39 sin(4 t + 74/47) + 289/31 sin(5 t + 41/26) + 102/37 sin(6 t + 85/54) + 101/36 sin(7 t + 47/30) + 1/8 sin(8 t + 188/41) + 71/63 sin(9 t + 39/25) + 17/40 sin(10 t + 3/2) + 83/52 sin(12 t + 85/54) + 1/39 sin(13 t + 24/25) + 38/63 sin(14 t + 115/72) + 49/59 sin(15 t + 149/93) + 15/44 sin(16 t + 35/22) + 51/64 sin(21 t + 69/43) + 1/9 sin(22 t + 82/49) + 9/19 sin(24 t + 35/22) + 2/27 sin(25 t + 143/31) + 8/57 sin(26 t + 69/44) + 4/25 sin(27 t + 21/13) + 17/45 sin(28 t + 47/29) + 11/20 sin(29 t + 37/23) + 19/25 sin(30 t + 8/5) + 2/21 sin(32 t + 61/13) + 12/41 sin(33 t + 73/47) + 7/12 sin(35 t + 55/34) + 9825/37) θ(55 π - t) θ(t - 51 π) + (-37/40 sin(3/2 - 31 t) - 37/53 sin(77/51 - 29 t) - 7/32 sin(52/37 - 28 t) - 5/54 sin(27/19 - 27 t) - 20/41 sin(55/36 - 24 t) - 7/44 sin(62/43 - 23 t) - 44/133 sin(45/29 - 21 t) - 13/77 sin(130/87 - 17 t) - 19/31 sin(44/29 - 12 t) + 3496/31 sin(t + 85/54) + 814/43 sin(2 t + 30/19) + 83/4 sin(3 t + 41/26) + 47/7 sin(4 t + 96/61) + 283/42 sin(5 t + 80/51) + 44/21 sin(6 t + 25/16) + 103/19 sin(7 t + 52/33) + 27/20 sin(8 t + 36/23) + 4/3 sin(9 t + 19/12) + 29/17 sin(10 t + 51/32) + 13/27 sin(11 t + 59/38) + 20/27 sin(13 t + 46/29) + 25/76 sin(14 t + 61/39) + 13/20 sin(15 t + 21/13) + 31/38 sin(16 t + 45/28) + 4/29 sin(18 t + 17/10) + 17/50 sin(19 t + 75/47) + 6/17 sin(20 t + 45/28) + 59/74 sin(22 t + 101/63) + 39/68 sin(25 t + 23/14) + 1/40 sin(26 t + 9/7) + 34/25 sin(30 t + 61/38) + 1/11 sin(32 t + 60/31) + 89/35 sin(33 t + 23/14) - 6793/25) θ(51 π - t) θ(t - 47 π) + (-17/20 sin(45/29 - 22 t) - 11/30 sin(46/35 - 21 t) - 35/22 sin(26/17 - 20 t) - 23/22 sin(36/23 - 16 t) - 12/25 sin(60/43 - 15 t) - 151/48 sin(17/11 - 14 t) - 42/29 sin(61/40 - 13 t) - 523/73 sin(67/43 - 8 t) - 95/21 sin(31/20 - 7 t) - 103/17 sin(39/25 - 6 t) - 76/21 sin(25/16 - 5 t) - 745/21 sin(80/51 - 3 t) + 2619/22 sin(t + 11/7) + 151/23 sin(2 t + 19/12) + 214/51 sin(4 t + 57/37) + 63/17 sin(9 t + 47/30) + 57/40 sin(10 t + 48/29) + 113/35 sin(11 t + 53/33) + 97/30 sin(12 t + 27/17) + 81/71 sin(17 t + 38/23) + 73/29 sin(18 t + 27/17) + 34/31 sin(19 t + 75/16) + 32/75 sin(23 t + 233/140) + 53/38 sin(24 t + 8/5) + 1/7 sin(25 t + 411/88) + 1015/33) θ(47 π - t) θ(t - 43 π) + (-59/44 sin(19/26 - 11 t) - 117/55 sin(7/5 - 9 t) - 11/23 sin(15/44 - 8 t) - 31/27 sin(37/31 - 6 t) + 7103/39 sin(t + 49/26) + 52/27 sin(2 t + 180/41) + 563/33 sin(3 t + 73/28) + 67/34 sin(4 t + 119/26) + 127/22 sin(5 t + 106/31) + 36/11 sin(7 t + 101/24) + 12/31 sin(10 t + 21/25) + 14/25 sin(12 t + 107/67) + 1257/50) θ(43 π - t) θ(t - 39 π) + (-34/57 sin(14/9 - 10 t) - 10/41 sin(31/25 - 8 t) + 921/53 sin(t + 41/18) + 314/31 sin(2 t + 125/33) + 257/35 sin(3 t + 23/68) + 111/13 sin(4 t + 86/27) + 127/33 sin(5 t + 34/15) + 106/71 sin(6 t + 28/9) + 58/21 sin(7 t + 24/23) + 46/51 sin(9 t + 77/18) + 17/45 sin(11 t + 53/24) + 13/25 sin(12 t + 77/27) + 6979/12) θ(39 π - t) θ(t - 35 π) + (-12/23 sin(25/21 - 10 t) - 663/43 sin(26/25 - 4 t) - 248/13 sin(94/67 - 3 t) - 118/35 sin(45/56 - 2 t) - 1626/47 sin(54/43 - t) + 57/13 sin(5 t + 15/19) + 83/21 sin(6 t + 57/31) + 12/5 sin(7 t + 28/9) + 67/25 sin(8 t + 251/63) + 51/29 sin(9 t + 159/35) + 22/37 sin(11 t + 101/33) + 26/37 sin(12 t + 78/29) - 32760/59) θ(35 π - t) θ(t - 31 π) + (-10/33 sin(43/47 - 12 t) - 38/17 sin(87/65 - t) + 122/29 sin(2 t + 30/23) + 45/31 sin(3 t + 35/44) + 160/61 sin(4 t + 39/32) + 377/55 sin(5 t + 117/28) + 13/5 sin(6 t + 225/52) + 9/10 sin(7 t + 42/31) + 31/14 sin(8 t + 74/17) + 21/47 sin(9 t + 68/37) + 27/37 sin(10 t + 131/31) + 17/36 sin(11 t + 39/17) - 12515/58) θ(31 π - t) θ(t - 27 π) + (-11/14 sin(17/27 - 11 t) - 183/184 sin(17/31 - 4 t) - 88/27 sin(29/21 - 3 t) + 13/25 sin(t + 646/149) + 121/25 sin(2 t + 79/26) + 75/23 sin(5 t + 22/29) + 9/8 sin(6 t + 74/25) + 331/46 sin(7 t + 17/6) + 13/29 sin(8 t + 41/29) + 20/17 sin(9 t + 43/40) + 25/24 sin(10 t + 293/88) + 13/17 sin(12 t + 125/52) + 4143/17) θ(27 π - t) θ(t - 23 π) + (2123/57 sin(t + 25/22) - 5506/27) θ(23 π - t) θ(t - 19 π) + (641/18 sin(t + 53/41) + 10453/43) θ(19 π - t) θ(t - 15 π) + (1691/22 sin(t + 67/40) + 49/59 sin(2 t + 137/35) + 195/29 sin(3 t + 67/37) + 14/17 sin(4 t + 21/5) + 81/34 sin(5 t + 48/23) + 11/21 sin(6 t + 95/22) + 7/6 sin(7 t + 281/125) + 11/35 sin(8 t + 123/31) + 11/13 sin(9 t + 135/58) + 7/34 sin(10 t + 59/17) + 15/28 sin(11 t + 62/25) + 9/46 sin(12 t + 108/25) + 4687/19) θ(15 π - t) θ(t - 11 π) + (-5/32 sin(65/57 - 12 t) + 2339/30 sin(t + 38/23) + 20/21 sin(2 t + 49/12) + 626/125 sin(3 t + 49/26) + 41/34 sin(4 t + 215/54) + 16/15 sin(5 t + 23/9) + 67/52 sin(6 t + 102/25) + 6/11 sin(7 t + 121/41) + 44/53 sin(8 t + 225/52) + 10/29 sin(9 t + 51/22) + 4/11 sin(10 t + 77/17) + 25/58 sin(11 t + 83/51) - 2281/11) θ(11 π - t) θ(t - 7 π) + (-24/37 sin(14/29 - 46 t) - 9/20 sin(37/28 - 34 t) + 9453/20 sin(t + 39/25) + 531/32 sin(2 t + 91/33) + 1395/26 sin(3 t + 80/47) + 24/25 sin(4 t + 41/16) + 321/31 sin(5 t + 149/41) + 37/22 sin(6 t + 139/34) + 132/25 sin(7 t + 83/37) + 247/21 sin(8 t + 39/10) + 350/19 sin(9 t + 59/38) + 249/22 sin(10 t + 67/43) + 63/10 sin(11 t + 241/53) + 111/22 sin(12 t + 145/31) + 65/19 sin(13 t + 37/26) + 196/43 sin(14 t + 15/19) + 71/37 sin(15 t + 124/29) + 158/31 sin(16 t + 137/30) + 75/37 sin(17 t + 73/44) + 25/16 sin(18 t + 146/45) + 25/19 sin(19 t + 121/36) + 38/21 sin(20 t + 87/32) + 131/66 sin(21 t + 186/53) + 31/26 sin(22 t + 47/14) + 69/40 sin(23 t + 296/91) + 42/17 sin(24 t + 12/11) + 29/22 sin(25 t + 25/17) + 170/73 sin(26 t + 382/85) + 67/56 sin(27 t + 53/46) + 17/14 sin(28 t + 41/40) + 49/31 sin(29 t + 42/85) + 49/31 sin(30 t + 102/23) + 39/28 sin(31 t + 119/26) + 18/91 sin(32 t + 13/30) + 27/19 sin(33 t + 55/13) + 13/19 sin(35 t + 102/29) + 3/4 sin(36 t + 163/36) + 22/29 sin(37 t + 67/24) + 8/35 sin(38 t + 61/24) + 103/55 sin(39 t + 15/17) + 14/25 sin(40 t + 104/29) + 11/39 sin(41 t + 48/11) + 11/21 sin(42 t + 126/101) + 564/563 sin(43 t + 3/8) + 15/32 sin(44 t + 11/49) + 19/29 sin(45 t + 185/51) + 1/6 sin(47 t + 67/41) + 1/2 sin(48 t + 71/16) + 10/31 sin(49 t + 6/17) + 5/22 sin(50 t + 67/15) + 1/4 sin(51 t + 449/112) + 9/13 sin(52 t + 78/23) + 5/11 sin(53 t + 7/19) + 13/23 sin(54 t + 37/75) + 17/38 sin(55 t + 106/41) + 3/16 sin(56 t + 85/21) + 27/47 sin(57 t + 38/45) - 35/37) θ(7 π - t) θ(t - 3 π) + (-21/23 sin(19/22 - 19 t) - 10/27 sin(28/25 - 18 t) - 109/49 sin(22/15 - 17 t) - 74/29 sin(13/33 - 16 t) - 67/13 sin(22/27 - 14 t) - 41/34 sin(35/38 - 12 t) - 1490/39 sin(44/43 - 3 t) + 17151/26 sin(t + 31/18) + 323/27 sin(2 t + 71/19) + 127/27 sin(4 t + 79/19) + 275/29 sin(5 t + 74/29) + 169/17 sin(6 t + 26/19) + 243/31 sin(7 t + 79/25) + 156/25 sin(8 t + 47/33) + 240/49 sin(9 t + 53/20) + 83/32 sin(10 t + 55/31) + 89/34 sin(11 t + 35/8) + 116/37 sin(13 t + 142/35) + 39/34 sin(15 t + 173/38) + 39/38 sin(20 t + 112/33) + 47/40 sin(21 t + 3/22) + 21/20 sin(22 t + 1/13) + 35/38 sin(23 t + 91/57) + 252/37) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((911/33 sin(t + 11/7) + 105/38 sin(2 t + 30/19) + 103/41 sin(3 t + 96/61) + 34/41 sin(4 t + 30/19) + 8/13 sin(5 t + 84/53) - 229/55) θ(115 π - t) θ(t - 111 π) + (409/11 sin(t + 63/40) + 424/113 sin(2 t + 35/22) + 194/57 sin(3 t + 30/19) + 15/26 sin(4 t + 47/29) + 23/16 sin(5 t + 19/12) + 11/23 sin(6 t + 115/72) + 3/8 sin(7 t + 50/31) + 33/82 sin(8 t + 61/38) + 8/21 sin(9 t + 91/57) + 888/41) θ(111 π - t) θ(t - 107 π) + (-60/37 sin(14/9 - 24 t) - 49/26 sin(38/25 - 22 t) - 137/35 sin(20/13 - 20 t) - 35/44 sin(31/20 - 19 t) - 62/25 sin(143/95 - 17 t) - 64/11 sin(31/20 - 16 t) - 214/23 sin(45/29 - 14 t) - 467/41 sin(45/29 - 13 t) - 451/27 sin(59/38 - 10 t) - 463/17 sin(14/9 - 8 t) - 174/31 sin(39/25 - 7 t) - 2015/14 sin(36/23 - 4 t) - 183/17 sin(49/32 - 3 t) - 4181/15 sin(58/37 - 2 t) + 333/19 sin(t + 87/56) + 374/31 sin(5 t + 25/16) + 23 sin(6 t + 85/54) + 137/24 sin(9 t + 146/31) + 329/27 sin(11 t + 19/12) + 99/23 sin(12 t + 131/82) + 397/53 sin(15 t + 68/43) + 13/36 sin(18 t + 59/13) + 112/75 sin(21 t + 21/13) + 7/12 sin(23 t + 49/32) + 6249/16) θ(107 π - t) θ(t - 103 π) + (1066/237 sin(t + 47/30) + 221/20 sin(2 t + 58/37) + 61/22 sin(3 t + 36/23) + 55/49 sin(4 t + 41/26) + 33/29 sin(5 t + 11/7) + 56/41 sin(6 t + 58/37) + 25/26 sin(7 t + 36/23) + 10/9 sin(8 t + 25/16) + 27/31 sin(9 t + 36/23) + 1/20 sin(10 t + 34/21) + 17/33 sin(11 t + 36/23) + 6/13 sin(12 t + 54/35) - 32809/57) θ(103 π - t) θ(t - 99 π) + (-22/37 sin(3/2 - 24 t) - 13/25 sin(224/149 - 23 t) - 9/17 sin(47/31 - 21 t) - 27/32 sin(48/31 - 15 t) - 395/113 sin(67/43 - 7 t) + 148/21 sin(t + 107/68) + 266/31 sin(2 t + 63/40) + 83/19 sin(3 t + 49/31) + 17/12 sin(4 t + 47/30) + 17/27 sin(5 t + 29/18) + 137/46 sin(6 t + 19/12) + 64/29 sin(8 t + 46/29) + 2/29 sin(9 t + 80/39) + 1/26 sin(10 t + 17/67) + 26/27 sin(11 t + 77/47) + 26/35 sin(12 t + 53/34) + 20/53 sin(13 t + 146/31) + 43/49 sin(14 t + 101/63) + 37/32 sin(16 t + 51/32) + 35/53 sin(17 t + 113/24) + 3/11 sin(18 t + 52/35) + 4/23 sin(19 t + 65/14) + 47/55 sin(20 t + 67/42) + 3/34 sin(22 t + 61/36) + 5/17 sin(25 t + 169/36) - 422/5) θ(99 π - t) θ(t - 95 π) + (-1/9 sin(38/29 - 22 t) - 3/41 sin(80/57 - 16 t) - 42/37 sin(44/29 - 15 t) - 5/7 sin(31/20 - 11 t) - 93/43 sin(25/16 - 3 t) - 34/33 sin(25/16 - t) + 74/5 sin(2 t + 41/26) + 368/85 sin(4 t + 30/19) + 2/19 sin(5 t + 214/47) + 128/35 sin(6 t + 65/41) + 4/11 sin(7 t + 103/22) + 31/35 sin(8 t + 36/23) + 1/13 sin(9 t + 73/39) + 9/32 sin(10 t + 196/131) + 26/43 sin(12 t + 62/39) + 37/110 sin(13 t + 61/37) + 14/83 sin(14 t + 11/7) + 11/29 sin(17 t + 93/56) + 8/17 sin(18 t + 13/8) + 1/30 sin(19 t + 289/62) + 1/25 sin(20 t + 34/23) + 8/37 sin(21 t + 56/33) + 2/35 sin(23 t + 95/21) - 2264/25) θ(95 π - t) θ(t - 91 π) + (239/25 sin(t + 41/26) + 548/27 sin(2 t + 52/33) + 66/47 sin(3 t + 21/13) + 335/49 sin(4 t + 30/19) + 42/25 sin(5 t + 127/27) + 75/31 sin(6 t + 30/19) + 10/27 sin(7 t + 181/39) + 59/30 sin(8 t + 19/12) + 12/23 sin(9 t + 117/25) + 49/44 sin(10 t + 49/31) - 2663/22) θ(91 π - t) θ(t - 87 π) + (-61/33 sin(67/43 - 5 t) - 73/20 sin(36/23 - 3 t) - 421/38 sin(69/44 - t) + 218/11 sin(2 t + 11/7) + 162/25 sin(4 t + 11/7) + 34/11 sin(6 t + 102/65) + 9/38 sin(7 t + 81/52) - 8229/61) θ(87 π - t) θ(t - 83 π) + (-53/15 sin(136/91 - 40 t) - 29/13 sin(50/33 - 34 t) - 4/11 sin(60/41 - 31 t) - 29/19 sin(326/217 - 30 t) - 8/25 sin(13/9 - 26 t) - 13/9 sin(20/13 - 25 t) - 95/41 sin(45/29 - 24 t) - 5/13 sin(43/31 - 23 t) - 11/34 sin(46/35 - 21 t) - 23/7 sin(37/24 - 20 t) - 95/28 sin(23/15 - 19 t) - 525/16 sin(45/29 - 12 t) - 605/27 sin(23/15 - 11 t) - 447/47 sin(25/16 - 8 t) - 21/8 sin(155/103 - 7 t) - 461/30 sin(36/23 - t) + 68/33 sin(2 t + 136/29) + 126/17 sin(3 t + 45/28) + 236/63 sin(4 t + 45/28) + 185/18 sin(5 t + 74/47) + 567/62 sin(6 t + 139/87) + 510/19 sin(9 t + 43/27) + 143/9 sin(10 t + 115/72) + 1789/32 sin(13 t + 43/27) + 447/41 sin(14 t + 51/31) + 2051/74 sin(15 t + 8/5) + 57/4 sin(16 t + 50/31) + 80/27 sin(17 t + 136/29) + 53/24 sin(18 t + 32/21) + 5/18 sin(22 t + 32/7) + 43/23 sin(27 t + 108/23) + 47/16 sin(28 t + 13/8) + 6/31 sin(29 t + 35/29) + 137/39 sin(32 t + 48/29) + 91/30 sin(33 t + 33/20) + 21/25 sin(35 t + 128/77) + 48/23 sin(36 t + 18/11) + 57/25 sin(37 t + 45/28) + 9/20 sin(38 t + 41/9) + 43/26 sin(39 t + 29/18) + 8652/13) θ(83 π - t) θ(t - 79 π) + (-25/17 sin(31/29 - 106 t) - 16/27 sin(17/67 - 105 t) - 28/25 sin(37/56 - 104 t) - 19/14 sin(12/13 - 103 t) - 29/12 sin(49/41 - 99 t) - 41/27 sin(45/31 - 95 t) - 11/30 sin(25/28 - 90 t) - 209/51 sin(35/26 - 87 t) - 5/4 sin(17/15 - 83 t) - 15/19 sin(43/39 - 82 t) - 43/64 sin(30/23 - 81 t) - 18/19 sin(237/236 - 76 t) - 47/18 sin(19/18 - 75 t) - 26/15 sin(43/42 - 64 t) - 81/34 sin(27/23 - 63 t) - 129/14 sin(43/37 - 61 t) - 107/33 sin(17/60 - 60 t) - 234/31 sin(50/41 - 59 t) - 361/86 sin(41/34 - 57 t) - 91/30 sin(13/9 - 54 t) - 16/15 sin(32/29 - 50 t) - 77/27 sin(29/25 - 49 t) - 19/25 sin(25/42 - 48 t) - 106/39 sin(59/50 - 47 t) - 37/33 sin(5/7 - 46 t) - 41/24 sin(7/6 - 45 t) - 30/29 sin(249/250 - 44 t) - 23/18 sin(17/13 - 43 t) - 89/17 sin(36/25 - 37 t) - 49/29 sin(37/30 - 34 t) - 76/27 sin(34/27 - 33 t) - 73/27 sin(61/43 - 30 t) - 167/21 sin(53/37 - 27 t) - 229/44 sin(15/11 - 25 t) - 114/29 sin(27/20 - 24 t) - 18/19 sin(1/9 - 23 t) - 354/29 sin(31/22 - 22 t) - 173/30 sin(76/61 - 21 t) - 402/35 sin(56/39 - 20 t) - 809/147 sin(37/24 - 18 t) - 145/16 sin(17/12 - 16 t) - 643/29 sin(35/24 - 15 t) - 266/33 sin(45/29 - 13 t) - 47/9 sin(51/38 - 12 t) - 433/30 sin(55/37 - 11 t) - 39753/149 sin(53/34 - 2 t) - 1908/47 sin(37/24 - t) + 1445/27 sin(3 t + 63/40) + 911/39 sin(4 t + 49/30) + 2390/59 sin(5 t + 37/23) + 394/15 sin(6 t + 28/17) + 352/15 sin(7 t + 55/34) + 307/37 sin(8 t + 139/30) + 809/18 sin(9 t + 49/30) + 253/43 sin(10 t + 53/30) + 481/33 sin(14 t + 71/44) + 233/30 sin(17 t + 51/31) + 73/26 sin(19 t + 48/35) + 30/37 sin(26 t + 4/35) + 187/27 sin(28 t + 72/41) + 140/39 sin(29 t + 101/55) + 11/2 sin(31 t + 73/41) + 13/29 sin(32 t + 35/9) + 191/64 sin(35 t + 137/68) + 148/27 sin(36 t + 166/95) + 200/43 sin(38 t + 45/26) + 32/29 sin(39 t + 123/29) + 39/29 sin(40 t + 62/37) + 34/39 sin(41 t + 38/17) + 13/22 sin(42 t + 47/27) + 79/30 sin(51 t + 53/28) + 64/37 sin(52 t + 127/51) + 85/18 sin(53 t + 78/41) + 101/30 sin(55 t + 2) + 38/31 sin(56 t + 39/22) + 77/38 sin(58 t + 27/25) + 88/51 sin(62 t + 39/44) + 37/12 sin(65 t + 73/33) + 163/37 sin(66 t + 20/9) + 141/44 sin(67 t + 59/24) + 103/19 sin(68 t + 58/27) + 47/46 sin(69 t + 241/85) + 9/8 sin(70 t + 104/33) + 197/38 sin(71 t + 95/46) + 23/16 sin(72 t + 133/31) + 155/37 sin(73 t + 68/33) + 49/41 sin(74 t + 71/28) + 49/29 sin(77 t + 77/32) + 110/23 sin(78 t + 71/30) + 169/33 sin(79 t + 20/9) + 16/31 sin(80 t + 140/31) + 8/15 sin(84 t + 7/4) + 72/19 sin(85 t + 81/31) + 175/26 sin(86 t + 55/26) + 67/29 sin(88 t + 128/69) + 33/32 sin(89 t + 113/31) + 11/6 sin(91 t + 62/25) + 44/25 sin(92 t + 28/13) + 31/26 sin(93 t + 181/41) + 49/23 sin(94 t + 59/31) + 44/53 sin(96 t + 6/5) + 13/14 sin(97 t + 115/29) + 231/115 sin(98 t + 67/34) + 14/11 sin(100 t + 33/23) + 25/34 sin(101 t + 146/35) + 157/98 sin(102 t + 79/43) + 14680/27) θ(79 π - t) θ(t - 75 π) + (-31/21 sin(20/13 - 8 t) - 5/36 sin(25/18 - 7 t) - 25/18 sin(17/11 - 6 t) - 28/19 sin(63/41 - 5 t) - 97/30 sin(59/38 - 4 t) - 55/21 sin(59/38 - 3 t) - 45/34 sin(25/16 - 2 t) + 147/29 sin(t + 63/40) + 6151/27) θ(75 π - t) θ(t - 71 π) + (-61/31 sin(29/19 - 6 t) - 1/15 sin(36/23 - 4 t) + 8/33 sin(t + 121/26) + 259/19 sin(2 t + 35/22) + 22/23 sin(3 t + 34/21) + 45/28 sin(5 t + 29/18) + 33/47 sin(7 t + 62/39) + 4612/31) θ(71 π - t) θ(t - 67 π) + (-12/49 sin(48/31 - 10 t) - 17/9 sin(39/25 - 7 t) - 172/37 sin(58/37 - 5 t) - 31/14 sin(81/52 - 4 t) - 25/31 sin(37/24 - 2 t) - 2513/27 sin(102/65 - t) + 180/17 sin(3 t + 113/24) + 5/9 sin(6 t + 108/23) + 10/37 sin(8 t + 60/37) + 37/25 sin(9 t + 113/24) - 6994/17) θ(67 π - t) θ(t - 63 π) + (-9/19 sin(36/23 - 8 t) - 129/35 sin(80/51 - 7 t) - 89/11 sin(47/30 - 5 t) - 1033/46 sin(36/23 - 3 t) - 121/31 sin(36/23 - 2 t) - 3693/25 sin(58/37 - t) + 21/29 sin(4 t + 57/37) + 15/23 sin(6 t + 21/13) - 8743/20) θ(63 π - t) θ(t - 59 π) + (-57/28 sin(41/42 - 128 t) - 29/22 sin(73/47 - 126 t) - 34/27 sin(41/33 - 125 t) - 32/25 sin(17/33 - 124 t) - 203/78 sin(33/32 - 123 t) - 33/35 sin(29/23 - 115 t) - 61/34 sin(21/25 - 111 t) - 17/15 sin(29/39 - 107 t) - 148/57 sin(25/24 - 106 t) - 17/25 sin(18/37 - 102 t) - 22/9 sin(28/23 - 98 t) - 62/27 sin(56/39 - 93 t) - 53/35 sin(21/22 - 92 t) - 101/33 sin(31/24 - 91 t) - 31/29 sin(33/38 - 90 t) - 90/41 sin(25/19 - 87 t) - 13/25 sin(32/21 - 81 t) - 8/15 sin(34/25 - 78 t) - 20/23 sin(15/16 - 77 t) - 81/28 sin(33/31 - 73 t) - 86/27 sin(31/25 - 72 t) - 21/32 sin(17/18 - 68 t) - 91/25 sin(54/41 - 64 t) - 139/25 sin(44/31 - 61 t) - 17/37 sin(9/25 - 59 t) - 85/27 sin(37/26 - 58 t) - 398/239 sin(29/23 - 55 t) - 455/76 sin(33/23 - 51 t) - 26/17 sin(43/35 - 46 t) - 263/31 sin(129/92 - 42 t) - 31/16 sin(31/27 - 41 t) - 482/45 sin(29/20 - 33 t) - 136/31 sin(55/39 - 29 t) - 205/23 sin(31/21 - 21 t) - 381/29 sin(61/39 - 13 t) - 733/28 sin(43/28 - 11 t) - 4495/76 sin(53/34 - 5 t) - 2869/41 sin(67/43 - t) + 4385/33 sin(2 t + 118/75) + 2638/35 sin(3 t + 8/5) + 10027/64 sin(4 t + 46/29) + 296/13 sin(6 t + 59/38) + 1057/26 sin(7 t + 37/23) + 304/15 sin(8 t + 50/31) + 424/23 sin(9 t + 34/21) + 629/39 sin(10 t + 25/16) + 237/14 sin(12 t + 53/33) + 49/29 sin(14 t + 89/50) + 697/25 sin(15 t + 31/19) + 605/84 sin(16 t + 41/26) + 67/38 sin(17 t + 145/31) + 801/34 sin(18 t + 41/25) + 253/32 sin(19 t + 103/22) + 122/29 sin(20 t + 11/7) + 44/15 sin(22 t + 101/22) + 663/43 sin(23 t + 117/70) + 141/41 sin(24 t + 41/24) + 23/29 sin(25 t + 41/122) + 23/14 sin(26 t + 61/31) + 570/37 sin(27 t + 45/26) + 144/53 sin(28 t + 72/43) + 566/35 sin(30 t + 31/19) + 55/31 sin(31 t + 72/19) + 2887/152 sin(32 t + 74/45) + 95/61 sin(34 t + 47/33) + 185/16 sin(35 t + 89/50) + 38/33 sin(36 t + 52/23) + 127/42 sin(37 t + 16/11) + 7/25 sin(38 t + 1/2) + 806/115 sin(39 t + 54/31) + 155/58 sin(40 t + 87/40) + 60/31 sin(43 t + 45/28) + 172/115 sin(44 t + 117/46) + 618/65 sin(45 t + 53/31) + 149/23 sin(47 t + 63/38) + 722/107 sin(48 t + 31/17) + 38/23 sin(49 t + 169/38) + 144/43 sin(50 t + 43/29) + 153/29 sin(52 t + 77/46) + 94/33 sin(53 t + 101/22) + 63/22 sin(54 t + 20/13) + 11/23 sin(56 t + 158/35) + 229/39 sin(57 t + 46/25) + 127/63 sin(60 t + 8/5) + 8/11 sin(62 t + 2) + 14/71 sin(63 t + 5/39) + 147/40 sin(65 t + 42/23) + 103/23 sin(66 t + 41/21) + 14/11 sin(67 t + 19/13) + 56/29 sin(69 t + 68/41) + 99/43 sin(70 t + 109/24) + 40/121 sin(71 t + 53/22) + 17/43 sin(74 t + 96/43) + 27/10 sin(75 t + 60/31) + 6/25 sin(76 t + 41/20) + 55/42 sin(79 t + 44/19) + 102/49 sin(80 t + 91/50) + 176/29 sin(82 t + 71/40) + 47/22 sin(83 t + 41/18) + 11/6 sin(84 t + 17/10) + 11/35 sin(85 t + 61/20) + 24/31 sin(86 t + 21/20) + 51/28 sin(88 t + 40/23) + 37/22 sin(89 t + 79/17) + 28/19 sin(94 t + 179/90) + 9/19 sin(95 t + 10/3) + 16/23 sin(96 t + 75/37) + 11/20 sin(97 t + 9/26) + 50/43 sin(99 t + 47/23) + 34/33 sin(100 t + 43/12) + 26/23 sin(101 t + 48/35) + 62/17 sin(103 t + 67/36) + 85/28 sin(104 t + 71/31) + 133/50 sin(105 t + 32/17) + 7/9 sin(108 t + 193/46) + 25/16 sin(109 t + 191/42) + 5/8 sin(110 t + 29/24) + 13/34 sin(112 t + 21/47) + 18/17 sin(113 t + 97/33) + 110/47 sin(114 t + 183/92) + 68/33 sin(116 t + 42/23) + 13/12 sin(117 t + 63/23) + 62/61 sin(118 t + 43/24) + 15/32 sin(119 t + 1417/708) + 49/30 sin(120 t + 85/48) + 57/65 sin(121 t + 118/31) + 17/11 sin(122 t + 25/14) + 31/92 sin(127 t + 5/22) - 18951/32) θ(59 π - t) θ(t - 55 π) + (-107/67 sin(29/19 - 34 t) - 9/20 sin(29/21 - 33 t) - 1/12 sin(48/41 - 32 t) - 109/41 sin(43/28 - 31 t) - 87/38 sin(49/32 - 26 t) - 22/13 sin(23/15 - 23 t) - 61/36 sin(17/11 - 20 t) - 37/53 sin(14/9 - 19 t) - 83/34 sin(17/11 - 18 t) - 79/40 sin(59/38 - 17 t) - 1/96 sin(29/26 - 14 t) - 133/62 sin(37/24 - 13 t) - 75/29 sin(14/9 - 12 t) - 32/31 sin(31/20 - 11 t) - 13/24 sin(31/20 - 10 t) - 83/42 sin(58/37 - 6 t) + 416/15 sin(t + 11/7) + 153/25 sin(2 t + 179/38) + 76/17 sin(3 t + 30/19) + 34/45 sin(4 t + 47/10) + 191/51 sin(5 t + 63/40) + 135/67 sin(7 t + 91/58) + 98/37 sin(8 t + 113/24) + 39/31 sin(9 t + 61/38) + 73/43 sin(15 t + 76/47) + 48/37 sin(16 t + 69/43) + 15/16 sin(21 t + 46/29) + 87/31 sin(22 t + 50/31) + 5/28 sin(24 t + 77/60) + 46/33 sin(25 t + 29/18) + 32/35 sin(27 t + 102/65) + 5/21 sin(28 t + 97/21) + 89/29 sin(29 t + 47/29) + 47/10 sin(30 t + 91/57) + 26/9 sin(35 t + 23/14) + 373/10) θ(55 π - t) θ(t - 51 π) + (-101/35 sin(173/115 - 31 t) - 172/57 sin(38/25 - 29 t) - 17/24 sin(17/12 - 28 t) - 31/52 sin(47/31 - 27 t) - 30/41 sin(49/32 - 26 t) - 41/32 sin(32/21 - 23 t) - 20/13 sin(37/24 - 21 t) - 8/11 sin(87/56 - 17 t) - 42/85 sin(56/37 - 14 t) - 26/15 sin(82/53 - 13 t) - 4/39 sin(39/34 - 12 t) - 36/25 sin(20/13 - 11 t) - 8/3 sin(39/25 - 6 t) - 235/83 sin(39/25 - 5 t) - 139/81 sin(36/23 - 4 t) - 218/35 sin(69/44 - 2 t) - 673/26 sin(58/37 - t) + 540/127 sin(3 t + 146/31) + 15/13 sin(7 t + 75/47) + 35/18 sin(8 t + 35/22) + 27/22 sin(9 t + 107/67) + 100/57 sin(10 t + 46/29) + 9/44 sin(15 t + 49/27) + 7/29 sin(16 t + 39/23) + 21/85 sin(18 t + 47/28) + 3/23 sin(19 t + 47/31) + 1/30 sin(20 t + 37/62) + 12/11 sin(22 t + 99/62) + 39/38 sin(24 t + 127/27) + 37/18 sin(25 t + 33/20) + 101/30 sin(30 t + 66/41) + 3/35 sin(32 t + 173/52) + 162/25 sin(33 t + 23/14) + 1309/38) θ(51 π - t) θ(t - 47 π) + (-11/17 sin(63/41 - 25 t) - 11/35 sin(41/28 - 14 t) - 4/47 sin(30/29 - 13 t) - 55/13 sin(36/23 - 9 t) - 282/83 sin(31/20 - 8 t) + 598/25 sin(t + 80/17) + 3647/37 sin(2 t + 96/61) + 103/37 sin(3 t + 107/23) + 1001/41 sin(4 t + 63/40) + 74/29 sin(5 t + 18/11) + 2444/181 sin(6 t + 63/40) + 27/29 sin(7 t + 83/51) + 233/28 sin(10 t + 27/17) + 99/46 sin(11 t + 34/21) + 103/42 sin(12 t + 21/13) + 1/12 sin(15 t + 142/33) + 62/21 sin(16 t + 27/17) + 8/13 sin(17 t + 27/16) + 6/13 sin(18 t + 8/5) + 13/28 sin(19 t + 80/17) + 5/36 sin(20 t + 43/33) + 17/31 sin(21 t + 145/31) + 15/19 sin(22 t + 67/42) + 29/31 sin(23 t + 29/18) + 41/40 sin(24 t + 31/19) - 8098/23) θ(47 π - t) θ(t - 43 π) + (-11/18 sin(66/65 - 12 t) - 31/33 sin(76/51 - 10 t) + 1711/44 sin(t + 47/15) + 295/22 sin(2 t + 77/34) + 131/30 sin(3 t + 57/20) + 229/38 sin(4 t + 61/22) + 22/13 sin(5 t + 51/20) + 112/61 sin(6 t + 33/8) + 11/42 sin(7 t + 71/28) + 37/25 sin(8 t + 157/34) + 32/41 sin(9 t + 10/19) + 11/16 sin(11 t + 10/13) - 51027/89) θ(43 π - t) θ(t - 39 π) + (-9/29 sin(18/25 - 10 t) - 41/23 sin(1/40 - 9 t) - 20/19 sin(39/29 - 6 t) - 446/89 sin(21/16 - 5 t) + 1232/9 sin(t + 95/27) + 113/36 sin(2 t + 95/26) + 145/9 sin(3 t + 42/43) + 16/29 sin(4 t + 25/26) + 73/29 sin(7 t + 97/44) + 20/33 sin(8 t + 131/36) + 21/22 sin(11 t + 42/11) + 3/7 sin(12 t + 74/19) - 2189/28) θ(39 π - t) θ(t - 35 π) + (-34/27 sin(5/8 - 12 t) - 25/42 sin(21/25 - 11 t) - 106/35 sin(41/29 - 10 t) - 100/33 sin(27/67 - 6 t) - 199/18 sin(6/17 - 4 t) - 173/7 sin(29/42 - 2 t) + 6145/37 sin(t + 38/25) + 1256/67 sin(3 t + 28/31) + 467/56 sin(5 t + 31/28) + 623/208 sin(7 t + 47/32) + 9/10 sin(8 t + 303/70) + 43/24 sin(9 t + 131/46) - 585/7) θ(35 π - t) θ(t - 31 π) + (-16/49 sin(19/41 - 12 t) - 7/26 sin(11/27 - 10 t) - 38/23 sin(22/27 - 8 t) - 76/23 sin(29/40 - 6 t) - 173/30 sin(17/36 - 5 t) - 69/32 sin(7/15 - t) + 46/25 sin(2 t + 121/39) + 267/67 sin(3 t + 103/37) + 41/26 sin(4 t + 440/147) + 26/43 sin(7 t + 99/38) + 17/39 sin(9 t + 48/13) + 3/13 sin(11 t + 95/42) - 1043/29) θ(31 π - t) θ(t - 27 π) + (105/41 sin(t + 13/12) + 53/66 sin(2 t + 41/15) + 118/41 sin(3 t + 35/41) + 7/38 sin(4 t + 3/22) + 53/31 sin(5 t + 79/36) + 6/11 sin(6 t + 91/29) + 461/66 sin(7 t + 107/25) + 26/21 sin(8 t + 109/34) + 97/65 sin(9 t + 153/53) + 56/67 sin(10 t + 368/85) + 11/29 sin(11 t + 13/30) + 26/37 sin(12 t + 137/41) - 1126/27) θ(27 π - t) θ(t - 23 π) + (-1343/42 sin(19/44 - t) - 1474/35) θ(23 π - t) θ(t - 19 π) + (-1177/40 sin(1/5 - t) - 1656/35) θ(19 π - t) θ(t - 15 π) + (-1/8 sin(46/31 - 9 t) - 26/41 sin(20/41 - 5 t) - 7/26 sin(35/27 - 4 t) - 53/36 sin(17/22 - 2 t) + 707/20 sin(t + 5/24) + 37/31 sin(3 t + 2/5) + 13/40 sin(6 t + 87/23) + 2/5 sin(7 t + 278/101) + 5/8 sin(8 t + 172/45) + 2/19 sin(10 t + 243/104) + 4/17 sin(11 t + 33/20) + 24/95 sin(12 t + 23/38) - 1599/32) θ(15 π - t) θ(t - 11 π) + (-132/113 sin(16/43 - 5 t) - 128/69 sin(14/13 - 4 t) + 1419/35 sin(t + 1/24) + 228/83 sin(2 t + 159/37) + 125/24 sin(3 t + 2/27) + 21/52 sin(6 t + 17/32) + 26/43 sin(7 t + 35/33) + 11/18 sin(8 t + 70/29) + 22/37 sin(9 t + 50/21) + 15/37 sin(10 t + 44/17) + 3/11 sin(11 t + 25/16) + 4/13 sin(12 t + 140/41) - 835/18) θ(11 π - t) θ(t - 7 π) + (-4/17 sin(81/58 - 53 t) - 6/11 sin(11/26 - 51 t) - 39/118 sin(1/16 - 50 t) - 13/25 sin(59/60 - 47 t) - 5/24 sin(27/19 - 45 t) - 4/7 sin(22/29 - 43 t) - 33/38 sin(65/129 - 36 t) - 691/108 sin(17/15 - 15 t) - 2039/39 sin(8/41 - 5 t) + 2860/37 sin(t + 387/119) + 679/12 sin(2 t + 61/36) + 1270/31 sin(3 t + 83/24) + 1046/15 sin(4 t + 81/43) + 1247/37 sin(6 t + 41/28) + 676/49 sin(7 t + 89/27) + 373/26 sin(8 t + 123/77) + 804/37 sin(9 t + 84/29) + 218/19 sin(10 t + 35/12) + 74/19 sin(11 t + 130/31) + 103/41 sin(12 t + 41/30) + 70/23 sin(13 t + 30/13) + 83/16 sin(14 t + 57/20) + 117/23 sin(16 t + 21/26) + 29/14 sin(17 t + 25/28) + 44/41 sin(18 t + 38/37) + 107/25 sin(19 t + 383/96) + 34/29 sin(20 t + 17/7) + 45/31 sin(21 t + 126/37) + 59/43 sin(22 t + 209/58) + 101/35 sin(23 t + 66/17) + 108/47 sin(24 t + 157/56) + 43/25 sin(25 t + 167/39) + 4/5 sin(26 t + 105/23) + 6/13 sin(27 t + 11/25) + 57/56 sin(28 t + 11/9) + 31/23 sin(29 t + 173/39) + 14/33 sin(30 t + 343/78) + 11/15 sin(31 t + 39/37) + 57/34 sin(32 t + 59/69) + 55/32 sin(33 t + 119/26) + 208/207 sin(34 t + 89/25) + 11/20 sin(35 t + 113/26) + 34/35 sin(37 t + 107/23) + 17/20 sin(38 t + 119/32) + 25/34 sin(39 t + 77/19) + 6/35 sin(40 t + 149/33) + 14/51 sin(41 t + 4/11) + 32/39 sin(42 t + 21/23) + 11/36 sin(44 t + 171/37) + 39/37 sin(46 t + 43/57) + 7/15 sin(48 t + 41/10) + 22/39 sin(49 t + 121/32) + 1/36 sin(52 t + 65/14) + 4/23 sin(54 t + 93/32) + 3/13 sin(55 t + 93/56) + 9/16 sin(56 t + 168/169) + 1/4 sin(57 t + 11/34) - 2196/25) θ(7 π - t) θ(t - 3 π) + (-40/19 sin(19/21 - 17 t) - 107/80 sin(25/31 - 15 t) + 61132/71 sin(t + 153/46) + 726/25 sin(2 t + 46/27) + 833/15 sin(3 t + 6/11) + 73/33 sin(4 t + 59/22) + 57/11 sin(5 t + 46/13) + 184/31 sin(6 t + 153/67) + 97/28 sin(7 t + 127/27) + 131/46 sin(8 t + 54/19) + 80/31 sin(9 t + 255/58) + 500/143 sin(10 t + 83/25) + 35/31 sin(11 t + 76/21) + 43/15 sin(12 t + 1091/364) + 31/35 sin(13 t + 54/35) + 67/24 sin(14 t + 143/34) + 19/12 sin(16 t + 63/25) + 28/15 sin(18 t + 11/41) + 107/33 sin(19 t + 13/46) + 8/17 sin(20 t + 85/28) + 11/5 sin(21 t + 9/22) + 37/33 sin(22 t + 123/56) + 50/57 sin(23 t + 47/31) + 178/107) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

ウィル・スミス（Will Smith）

x(t) = ((-1/6 sin(3/2 - 8 t) - 1/4 sin(14/9 - 6 t) - 15/14 sin(14/9 - 4 t) - 8/5 sin(17/11 - 2 t) + 325/7 sin(t + 11/7) + 59/6 sin(3 t + 11/7) + 27/7 sin(5 t + 11/7) + 7/4 sin(7 t + 11/7) - 680/3) θ(139 π - t) θ(t - 135 π) + (-21/4 sin(11/7 - 5 t) - 93/5 sin(11/7 - 3 t) - 1066/7 sin(11/7 - t) + 3/7 sin(2 t + 10/7) + 3/5 sin(4 t + 4/3) + 5/7 sin(6 t + 10/7) - 1087/7) θ(135 π - t) θ(t - 131 π) + (-3/2 sin(2/5 - 184 t) - sin(9/7 - 182 t) - 24/23 sin(3/7 - 179 t) - 4/5 sin(7/8 - 175 t) - 19/8 sin(1/2 - 172 t) - 29/28 sin(5/4 - 166 t) - 11/7 sin(2/5 - 164 t) - 45/22 sin(3/5 - 163 t) - 19/6 sin(2/5 - 155 t) - 19/8 sin(2/5 - 154 t) - 13/4 sin(1/4 - 148 t) - 1/3 sin(5/8 - 147 t) - 4/3 sin(5/9 - 144 t) - 6/7 sin(1/5 - 142 t) - 7/3 sin(2/3 - 141 t) - 7/5 sin(1 - 138 t) - 5/3 sin(1/4 - 137 t) - 10/9 sin(3/4 - 134 t) - 2 sin(3/5 - 133 t) - 3/4 sin(7/6 - 131 t) - 7/5 sin(1/2 - 128 t) - 9/7 sin(1/6 - 127 t) - 13/5 sin(4/5 - 122 t) - 11/7 sin(8/7 - 119 t) - 5/4 sin(3/7 - 115 t) - 6/5 sin(6/11 - 114 t) - 2/5 sin(1/3 - 109 t) - 11/12 sin(5/4 - 108 t) - 2/3 sin(29/28 - 105 t) - 6/7 sin(3/4 - 104 t) - 5/4 sin(3/4 - 103 t) - 11/7 sin(5/4 - 102 t) - 12/11 sin(7/5 - 99 t) - 3/5 sin(5/8 - 97 t) - 16/7 sin(1 - 96 t) - 7/4 sin(8/7 - 93 t) - 12/7 sin(10/9 - 90 t) - 9/5 sin(4/5 - 85 t) - 1/4 sin(1/6 - 84 t) - 9/5 sin(6/7 - 81 t) - 7/4 sin(6/7 - 80 t) - 1/8 sin(2/3 - 79 t) - 9/8 sin(23/22 - 74 t) - 21/10 sin(4/5 - 73 t) - 11/5 sin(16/15 - 72 t) - 8/7 sin(6/5 - 66 t) - 20/13 sin(5/8 - 65 t) - 7/6 sin(4/3 - 64 t) - 13/6 sin(1 - 61 t) - 88/29 sin(6/5 - 57 t) - 9/7 sin(5/6 - 56 t) - 7/5 sin(4/3 - 55 t) - 12/11 sin(11/8 - 54 t) - 15/14 sin(7/5 - 51 t) - 2/5 sin(1 - 50 t) - 5/3 sin(4/3 - 49 t) - 14/13 sin(10/7 - 48 t) - 31/8 sin(10/7 - 46 t) - 38/11 sin(5/4 - 43 t) - 23/11 sin(7/6 - 40 t) - 49/8 sin(6/5 - 39 t) - 29/7 sin(5/4 - 35 t) - 59/15 sin(5/4 - 34 t) - 7/3 sin(6/5 - 31 t) - 65/22 sin(5/4 - 23 t) - 16/7 sin(3/2 - 22 t) - 30/7 sin(3/2 - 19 t) - 2/7 sin(1/3 - 18 t) - 27/11 sin(3/2 - 17 t) - 54/11 sin(13/9 - 16 t) - 1/9 sin(3/8 - 12 t) - 14/5 sin(14/9 - 11 t) - 26/9 sin(3/2 - 9 t) - 58/7 sin(11/7 - 5 t) + 989/3 sin(t + 8/5) + 51/8 sin(2 t + 23/5) + 93/8 sin(3 t + 11/7) + 4 sin(4 t + 14/9) + 22/3 sin(6 t + 8/5) + 7/4 sin(7 t + 13/8) + 17/7 sin(8 t + 8/5) + 4 sin(10 t + 8/5) + 15/4 sin(13 t + 5/3) + 7 sin(14 t + 5/3) + 5/4 sin(15 t + 5/3) + 10/7 sin(20 t + 13/7) + 51/7 sin(21 t + 12/7) + 6/11 sin(24 t + 11/7) + 1/5 sin(25 t + 19/7) + 15/4 sin(26 t + 5/3) + 2/5 sin(27 t + 9/7) + 17/6 sin(28 t + 9/5) + 8 sin(29 t + 7/4) + 4/7 sin(30 t + 8/5) + 3/2 sin(32 t + 29/15) + 65/11 sin(33 t + 9/5) + 187/31 sin(36 t + 9/5) + 55/9 sin(37 t + 31/16) + 9/10 sin(38 t + 11/7) + 27/7 sin(41 t + 63/31) + 9/2 sin(42 t + 9/5) + 1/4 sin(44 t + 21/5) + 24/5 sin(45 t + 9/5) + 3/5 sin(47 t + 3/4) + 2/5 sin(52 t + 5/2) + 1/6 sin(53 t + 23/8) + 7/4 sin(58 t + 21/10) + 17/4 sin(59 t + 25/12) + 1/5 sin(60 t + 7/5) + 1/3 sin(62 t + 8/5) + 11/7 sin(63 t + 13/6) + 11/5 sin(67 t + 29/14) + 3 sin(68 t + 73/36) + 1/6 sin(69 t + 13/4) + 11/7 sin(70 t + 73/36) + 5/4 sin(71 t + 21/10) + 8/7 sin(75 t + 16/7) + 13/9 sin(76 t + 11/5) + 2/3 sin(77 t + 7/3) + 2/5 sin(78 t + 16/7) + sin(82 t + 12/5) + 11/5 sin(83 t + 16/7) + sin(86 t + 17/8) + 11/7 sin(87 t + 7/3) + 2/3 sin(88 t + 31/7) + sin(89 t + 5/6) + 17/11 sin(91 t + 13/6) + 5/4 sin(92 t + 11/6) + 7/4 sin(94 t + 19/9) + 11/6 sin(95 t + 9/4) + 14/9 sin(98 t + 43/21) + 2/7 sin(100 t + 9/4) + 3/7 sin(101 t + 9/4) + 5/11 sin(106 t + 13/3) + 5/6 sin(107 t + 19/9) + 4/9 sin(110 t + 12/11) + 1/5 sin(111 t + 11/3) + 9/5 sin(112 t + 17/7) + 6/5 sin(113 t + 16/7) + 2/3 sin(116 t + 12/5) + 19/20 sin(117 t + 50/17) + 8/7 sin(118 t + 11/8) + 20/7 sin(120 t + 12/5) + 12/5 sin(121 t + 23/9) + 16/7 sin(123 t + 1/5) + 1/5 sin(124 t + 5/4) + 19/7 sin(125 t + 26/9) + 11/3 sin(126 t + 16/7) + 17/6 sin(129 t + 7/3) + 3/2 sin(130 t + 50/17) + 8/9 sin(132 t + 1/4) + 22/21 sin(135 t + 125/31) + 1/3 sin(136 t + 7/2) + 13/5 sin(139 t + 8/3) + 9/8 sin(140 t + 14/5) + 9/7 sin(143 t + 8/5) + 5/3 sin(145 t + 11/4) + 37/8 sin(146 t + 13/5) + 1/2 sin(149 t + 5/4) + 33/17 sin(150 t + 20/7) + 5/6 sin(151 t + 17/4) + 2/5 sin(152 t + 25/8) + 4/9 sin(153 t + 14/5) + 1/10 sin(156 t + 39/10) + 37/19 sin(157 t + 17/6) + 5/4 sin(158 t + 29/8) + 11/5 sin(159 t + 11/5) + 2/5 sin(160 t + 12/5) + 3/5 sin(161 t + 32/7) + 9/7 sin(162 t + 15/7) + sin(165 t + 37/36) + 13/8 sin(167 t + 11/4) + 8/5 sin(168 t + 32/11) + 4/5 sin(169 t + 30/7) + 3/7 sin(170 t + 11/7) + 7/9 sin(171 t + 1/5) + 4/5 sin(173 t + 27/13) + 3/7 sin(174 t + 19/5) + 4/7 sin(176 t + 13/6) + 4/7 sin(177 t + 23/5) + 1/3 sin(178 t + 3/5) + 8/9 sin(180 t + 46/15) + 5/8 sin(181 t + 26/9) + 9/7 sin(183 t + 7/4) + 2/5 sin(185 t + 49/12) + 7/4 sin(186 t + 13/5) - 489/5) θ(131 π - t) θ(t - 127 π) + (-20/13 sin(14/9 - 10 t) - 41/7 sin(11/7 - 5 t) - 97/5 sin(11/7 - 4 t) - 296/5 sin(11/7 - 2 t) - 184 sin(11/7 - t) + 1/2 sin(3 t + 7/4) + 14/5 sin(6 t + 33/7) + 4/7 sin(7 t + 14/3) + 13/8 sin(8 t + 8/5) + 3/2 sin(9 t + 8/5) + 586/3) θ(127 π - t) θ(t - 123 π) + (-5/7 sin(14/9 - 14 t) - 1469/4 sin(11/7 - t) + 664/7 sin(2 t + 8/5) + 104/3 sin(3 t + 8/5) + 49/5 sin(4 t + 8/5) + 289/32 sin(5 t + 8/5) + 9/5 sin(6 t + 13/8) + 9/8 sin(7 t + 23/5) + 24/7 sin(8 t + 13/8) + 4/7 sin(9 t + 5/3) + 27/11 sin(10 t + 5/3) + 17/5 sin(11 t + 5/3) + 12/7 sin(12 t + 5/3) + 1/18 sin(13 t + 50/17) + 5/9 sin(15 t + 5/3) + 7/8 sin(16 t + 5/3) + 1/7 sin(17 t + 23/5) + 2/3 sin(18 t + 12/7) - 836/5) θ(123 π - t) θ(t - 119 π) + (-1/5 sin(11/7 - 19 t) - 1/38 sin(7/5 - 12 t) - 1/11 sin(4/3 - 7 t) - 17/16 sin(11/7 - 6 t) - 19/6 sin(11/7 - 5 t) - 75/8 sin(11/7 - 4 t) - 61/5 sin(11/7 - 3 t) - 53/3 sin(11/7 - 2 t) + 35 sin(t + 11/7) + 1/18 sin(8 t + 9/7) + 5/4 sin(9 t + 11/7) + 5/4 sin(10 t + 8/5) + 3/7 sin(11 t + 8/5) + 1/4 sin(13 t + 14/3) + 5/6 sin(14 t + 8/5) + 1/29 sin(15 t + 21/5) + 1/4 sin(16 t + 8/5) + 1/6 sin(17 t + 8/5) + 6/11 sin(18 t + 11/7) + 1/11 sin(20 t + 33/7) + 1/5 sin(21 t + 3/2) + 79/6) θ(119 π - t) θ(t - 115 π) + (-1/3 sin(14/9 - 57 t) - 9/7 sin(16/11 - 44 t) - 1/18 sin(7/6 - 43 t) - 11/12 sin(3/2 - 32 t) - 1/2 sin(3/2 - 31 t) - 4/3 sin(3/2 - 27 t) - 9/4 sin(3/2 - 26 t) - 19/8 sin(14/9 - 20 t) - 1/5 sin(9/7 - 19 t) - 59/9 sin(3/2 - 15 t) - 41/6 sin(14/9 - 14 t) - 21/4 sin(11/7 - 11 t) - 28/5 sin(14/9 - 10 t) - 35/18 sin(14/9 - 7 t) - 7/13 sin(14/9 - 6 t) - 67/2 sin(11/7 - 4 t) - 726/5 sin(11/7 - 2 t) - 379/7 sin(11/7 - t) + 212/7 sin(3 t + 11/7) + 43/4 sin(5 t + 11/7) + 1/3 sin(8 t + 5/3) + 7/3 sin(9 t + 8/5) + 19/10 sin(12 t + 8/5) + 85/8 sin(13 t + 8/5) + 5/3 sin(16 t + 8/5) + 32/7 sin(17 t + 8/5) + 7/6 sin(18 t + 12/7) + 6/7 sin(21 t + 8/5) + 1/4 sin(22 t + 9/2) + 19/18 sin(23 t + 13/8) + 5/3 sin(24 t + 13/8) + 1/4 sin(25 t + 7/4) + 7/5 sin(28 t + 13/8) + 17/6 sin(29 t + 5/3) + 10/11 sin(30 t + 12/7) + 1/5 sin(33 t + 32/7) + 17/16 sin(34 t + 7/4) + 3/2 sin(35 t + 5/3) + 3/7 sin(36 t + 13/7) + 1/13 sin(37 t + 25/6) + 3/5 sin(38 t + 14/3) + 3/4 sin(39 t + 5/3) + 1/11 sin(40 t + 17/7) + 3/4 sin(41 t + 7/4) + 2/3 sin(42 t + 12/7) + 1/9 sin(45 t + 23/5) + 9/7 sin(46 t + 12/7) + 4/7 sin(47 t + 15/8) + 1/7 sin(48 t + 21/5) + 3/5 sin(49 t + 9/5) + 1/2 sin(50 t + 15/8) + 5/7 sin(51 t + 11/6) + 5/6 sin(52 t + 9/5) + 1/6 sin(53 t + 22/5) + 1/13 sin(54 t + 5/2) + 2/7 sin(55 t + 7/4) + 1/15 sin(56 t + 7/6) + 2/5 sin(58 t + 12/7) + 2/5 sin(59 t + 9/5) + 58/3) θ(115 π - t) θ(t - 111 π) + (303/7 sin(t + 8/5) + 223/5 sin(2 t + 8/5) + 26/5 sin(3 t + 33/7) + 189/19 sin(4 t + 11/7) + 1/24 sin(5 t + 33/7) + 18/5 sin(6 t + 11/7) + 1/23 sin(7 t + 32/7) - 37/3) θ(111 π - t) θ(t - 107 π) + (-6/11 sin(14/9 - 18 t) - 9/5 sin(11/7 - 15 t) - 9/5 sin(11/7 - 13 t) - 6/7 sin(14/9 - 9 t) - 3/4 sin(17/11 - 6 t) + 361/5 sin(t + 11/7) + 168/5 sin(2 t + 11/7) + 13/6 sin(3 t + 11/7) + 19/5 sin(4 t + 11/7) + 27/5 sin(5 t + 8/5) + 3/2 sin(7 t + 11/7) + 17/7 sin(8 t + 11/7) + 8/7 sin(10 t + 8/5) + 5/4 sin(11 t + 8/5) + 4/5 sin(12 t + 11/7) + 32/9 sin(14 t + 8/5) + 8/9 sin(16 t + 8/5) + 5/7 sin(17 t + 8/5) + 4/5 sin(19 t + 8/5) - 3421/12) θ(107 π - t) θ(t - 103 π) + (-5/4 sin(3/2 - 17 t) - sin(14/9 - 16 t) - 23/11 sin(3/2 - 14 t) - 23/7 sin(14/9 - 13 t) - 23/4 sin(14/9 - 11 t) - 33/13 sin(14/9 - 6 t) - 37/12 sin(11/7 - 5 t) - 293/7 sin(11/7 - 2 t) - 250/3 sin(11/7 - t) + 37/7 sin(3 t + 14/3) + 14/5 sin(4 t + 8/5) + 4/3 sin(7 t + 14/3) + 4/3 sin(8 t + 8/5) + 7/3 sin(9 t + 33/7) + 9/5 sin(10 t + 8/5) + 38/7 sin(12 t + 8/5) + 16/7 sin(15 t + 5/3) + 639/7) θ(103 π - t) θ(t - 99 π) + (-8/7 sin(14/9 - 4 t) + 211/30 sin(t + 8/5) + 714/13 sin(2 t + 8/5) + 25/12 sin(3 t + 14/3) + 7/4 sin(5 t + 8/5) + 27/5 sin(6 t + 8/5) + 5/8 sin(7 t + 14/3) + 1/29 sin(8 t + 10/7) + sin(9 t + 13/8) + 41/20 sin(10 t + 8/5) + 417/7) θ(99 π - t) θ(t - 95 π) + (-37/6 sin(11/7 - 6 t) - 23 sin(11/7 - 3 t) - 179/6 sin(11/7 - t) + 9/2 sin(2 t + 8/5) + 103/6 sin(4 t + 11/7) + 11/2 sin(5 t + 11/7) + 30/7 sin(7 t + 33/7) + 11/4 sin(8 t + 11/7) + 1/5 sin(9 t + 11/8) + 8/3 sin(10 t + 11/7) - 6699/25) θ(95 π - t) θ(t - 91 π) + (-1/5 sin(14/9 - 29 t) - 4/7 sin(11/7 - 25 t) + 611/7 sin(t + 11/7) + 73/6 sin(2 t + 33/7) + 5 sin(3 t + 37/8) + 27/5 sin(4 t + 3/2) + 89/5 sin(5 t + 14/9) + 32/5 sin(6 t + 14/3) + 59/9 sin(7 t + 14/3) + 11/4 sin(8 t + 14/9) + 23/4 sin(9 t + 33/7) + 7/3 sin(10 t + 32/7) + 10 sin(11 t + 14/3) + 2/3 sin(12 t + 17/4) + 35/8 sin(13 t + 14/3) + 9/2 sin(14 t + 3/2) + 17/4 sin(15 t + 13/9) + 19/4 sin(16 t + 23/5) + 35/18 sin(17 t + 23/5) + 4/3 sin(18 t + 33/7) + 26/7 sin(19 t + 23/5) + 59/20 sin(20 t + 7/5) + 1/4 sin(21 t + 9/2) + 8/5 sin(22 t + 9/2) + 4/3 sin(23 t + 11/8) + 1/2 sin(24 t + 40/9) + 3/7 sin(26 t + 7/5) + 6/7 sin(27 t + 23/5) + 1/10 sin(28 t + 39/10) - 480/7) θ(91 π - t) θ(t - 87 π) + (71/18 sin(t + 11/7) + 11/9 sin(2 t + 11/7) + 16/5 sin(3 t + 11/7) + 79/39 sin(4 t + 11/7) + 9/10 sin(5 t + 11/7) + 4/3 sin(6 t + 11/7) + 2508/13) θ(87 π - t) θ(t - 83 π) + (-89/18 sin(11/7 - 2 t) + 34 sin(t + 11/7) + 21/8 sin(3 t + 8/5) + sin(4 t + 33/7) + 5/4 sin(5 t + 11/7) + 4/9 sin(6 t + 33/7) + 2/3 sin(7 t + 11/7) + 385/4) θ(83 π - t) θ(t - 79 π) + (-7/2 sin(11/7 - 6 t) - 8/5 sin(17/11 - 4 t) - 173/6 sin(11/7 - 2 t) + 551/8 sin(t + 11/7) + 31/5 sin(3 t + 8/5) + 14/5 sin(5 t + 8/5) + 10/11 sin(7 t + 8/5) + 359/3) θ(79 π - t) θ(t - 75 π) + (311/8 sin(t + 11/7) + 25/4 sin(2 t + 8/5) + 7/2 sin(3 t + 11/7) + 19/5 sin(4 t + 11/7) + 9/8 sin(5 t + 8/5) + 3/2 sin(6 t + 8/5) - 560/3) θ(75 π - t) θ(t - 71 π) + (-37/18 sin(14/9 - 3 t) - 35/4 sin(11/7 - t) + 51/5 sin(2 t + 11/7) + 5/4 sin(4 t + 8/5) + 23/12 sin(5 t + 33/7) + 9/10 sin(6 t + 8/5) - 1280/7) θ(71 π - t) θ(t - 67 π) + (-3/8 sin(11/7 - 12 t) - 5/9 sin(3/2 - 9 t) + 365/8 sin(t + 11/7) + 5/6 sin(2 t + 33/7) + 5 sin(3 t + 8/5) + 1/4 sin(4 t + 12/7) + 27/13 sin(5 t + 8/5) + 2/3 sin(6 t + 8/5) + 5/6 sin(7 t + 8/5) + 1/3 sin(8 t + 33/7) + 2/5 sin(10 t + 13/8) + 2 sin(11 t + 8/5) + 11/12 sin(13 t + 8/5) + 1/20 sin(14 t + 2) + 3/8 sin(15 t + 8/5) + 1/5 sin(16 t + 5/3) + 2/5 sin(17 t + 8/5) - 39/2) θ(67 π - t) θ(t - 63 π) + (-2/7 sin(16/11 - 46 t) - 1/5 sin(14/9 - 45 t) - 1/5 sin(9/7 - 44 t) - 1/3 sin(14/9 - 42 t) - 1/12 sin(3/5 - 40 t) - 6/5 sin(14/9 - 18 t) - 4/7 sin(7/5 - 17 t) - 1/2 sin(11/7 - 16 t) - 5/6 sin(3/2 - 14 t) - 8/5 sin(3/2 - 12 t) - 1/7 sin(9/7 - 11 t) - 1/5 sin(1/2 - 9 t) - 27/8 sin(11/7 - 7 t) - 11/5 sin(14/9 - 6 t) - 36/5 sin(14/9 - 4 t) + 166/5 sin(t + 11/7) + 423/5 sin(2 t + 33/7) + 86/3 sin(3 t + 33/7) + 5/2 sin(5 t + 11/7) + 89/15 sin(8 t + 33/7) + 5/7 sin(10 t + 10/7) + 19/9 sin(13 t + 33/7) + 1/3 sin(15 t + 4/3) + 4/9 sin(19 t + 14/3) + 2/5 sin(20 t + 5/4) + 1/3 sin(21 t + 5/3) + 19/7 sin(22 t + 33/7) + 3/2 sin(23 t + 3/2) + 5/3 sin(24 t + 14/3) + 1/2 sin(25 t + 14/3) + 9/4 sin(26 t + 3/2) + 55/27 sin(27 t + 14/3) + 1/3 sin(28 t + 15/8) + 18/17 sin(29 t + 10/7) + 1/4 sin(30 t + 5/3) + 13/8 sin(31 t + 14/3) + 8/7 sin(32 t + 33/7) + 1/5 sin(33 t + 50/11) + 6/5 sin(34 t + 14/3) + 1/10 sin(35 t + 21/5) + 1/2 sin(36 t + 3/2) + 40/39 sin(37 t + 3/2) + 1/31 sin(38 t + 3/2) + 1/6 sin(39 t + 12/7) + 1/3 sin(41 t + 3/2) + 1/6 sin(43 t + 4/3) - 80/3) θ(63 π - t) θ(t - 59 π) + (-2/3 sin(2/5 - 9 t) - 7/5 sin(6/11 - 7 t) - 22/7 sin(5/7 - 5 t) - 61/6 sin(21/20 - 3 t) - 4 sin(1/3 - 2 t) - 539/5 sin(4/3 - t) + 13/6 sin(4 t + 3/5) + 19/20 sin(6 t + 4/3) + 3/4 sin(8 t + 9/7) + 1/2 sin(10 t + 13/7) - 145/6) θ(59 π - t) θ(t - 55 π) + (-4/7 sin(8/7 - 10 t) - 1/7 sin(2/7 - 9 t) - 6/7 sin(1/3 - 8 t) - 5 sin(3/8 - 2 t) + 1147/9 sin(t + 12/7) + 43/6 sin(3 t + 8/5) + 11/3 sin(4 t + 2/5) + 5/4 sin(5 t + 7/4) + 3/2 sin(6 t + 1/15) + 1/4 sin(7 t + 33/16) - 441/20) θ(55 π - t) θ(t - 51 π) + (-16/7 sin(2/5 - 14 t) - 29/6 sin(1/11 - 12 t) - 144/11 sin(1/5 - 4 t) + 131/3 sin(t + 27/8) + 175/9 sin(2 t + 1/7) + 56/5 sin(3 t + 56/19) + 125/9 sin(5 t + 19/6) + 80/7 sin(6 t + 3/4) + 3 sin(7 t + 12/7) + 55/6 sin(8 t + 3/4) + 46/9 sin(9 t + 7/6) + 19/6 sin(10 t + 1/2) + 35/4 sin(11 t + 31/9) + 5/2 sin(13 t + 21/8) + 71/18 sin(15 t + 35/12) + 13/5 sin(16 t + 3/8) + 22/9 sin(17 t + 14/5) - 1807/6) θ(51 π - t) θ(t - 47 π) + (-26/5 sin(3/4 - 13 t) - 67/8 sin(1/8 - 11 t) - 15/2 sin(17/11 - 10 t) - 90/7 sin(1/5 - 9 t) - 62/5 sin(3/8 - 5 t) + 332/7 sin(t + 1/17) + 137/5 sin(2 t + 28/9) + 22 sin(3 t + 1/15) + 100/9 sin(4 t + 17/6) + 56/5 sin(6 t + 10/3) + 29/4 sin(7 t + 1/11) + 48/7 sin(8 t + 8/3) + 28/5 sin(12 t + 16/7) + 59/9 sin(14 t + 26/9) + 30/7 sin(15 t + 1/9) + 7/2 sin(16 t + 17/5) + 8/3 sin(17 t + 1/6) + 55/2) θ(47 π - t) θ(t - 43 π) + (-5/3 sin(1/9 - 8 t) - 11/12 sin(1/2 - 5 t) - 14/9 sin(3/4 - 3 t) - 16/5 sin(11/8 - t) + 7/2 sin(2 t + 22/9) + 11/8 sin(4 t + 4) + 26/7 sin(6 t + 43/11) + 10/11 sin(7 t + 17/6) + 3/8 sin(9 t + 18/5) + sin(10 t + 37/8) - 1357/4) θ(43 π - t) θ(t - 39 π) + (-16/5 sin(7/6 - 9 t) - 9/7 sin(19/18 - 8 t) - 5/3 sin(1/35 - 5 t) + 4/5 sin(t + 3/2) + 18/7 sin(2 t + 1/9) + 39/19 sin(3 t + 3/4) + 19/5 sin(4 t + 13/5) + 9/7 sin(6 t + 3/2) + 9/4 sin(7 t + 14/9) + 29/15 sin(10 t + 16/5) + 3361/10) θ(39 π - t) θ(t - 35 π) + (-11/6 sin(8/9 - 4 t) + 2/5 sin(t + 16/5) + 5/7 sin(2 t + 2/5) + 8/3 sin(3 t + 21/5) + 5/6 sin(5 t + 1/5) + 23/4 sin(6 t + 14/5) + 2/3 sin(7 t + 9/7) + 4/5 sin(8 t + 27/11) + 1/9 sin(9 t + 3) + 1/2 sin(10 t + 3) - 1712/7) θ(35 π - t) θ(t - 31 π) + (-4/7 sin(2/3 - 9 t) - 16/15 sin(16/15 - 7 t) - 24/5 sin(1/9 - 2 t) + 27/11 sin(t + 11/5) + 9/10 sin(3 t + 10/11) + 39/10 sin(4 t + 24/7) + 31/9 sin(5 t + 11/5) + 9/5 sin(6 t + 44/15) + 18/17 sin(8 t + 13/9) + 3/5 sin(10 t + 41/14) + 53) θ(31 π - t) θ(t - 27 π) + (116/5 sin(t + 21/5) + 8/9 sin(2 t + 33/8) + sin(3 t + 13/9) + 1/2 sin(4 t + 26/7) + 1/2 sin(5 t + 1/5) - 1223/5) θ(27 π - t) θ(t - 23 π) + (-1/4 sin(5/8 - 5 t) + 173/7 sin(t + 5/4) + 3/8 sin(2 t + 14/3) + 9/7 sin(3 t + 1/11) + 2/7 sin(4 t + 13/4) + 6/11 sin(6 t + 14/5) + 379/7) θ(23 π - t) θ(t - 19 π) + (-6/5 sin(3/4 - 6 t) - 7/5 sin(4/3 - 4 t) + 421/7 sin(t + 11/6) + 13/8 sin(2 t + 109/27) + 59/15 sin(3 t + 13/6) + 3/5 sin(5 t + 9/7) + 5/6 sin(7 t + 9/10) + 3/4 sin(8 t + 1/6) + 5/6 sin(9 t + 6/5) + 4/9 sin(10 t + 5/7) - 4808/19) θ(19 π - t) θ(t - 15 π) + (-3/5 sin(4/3 - 5 t) - 488/7 sin(3/2 - t) + 5/11 sin(7 t) + 17/4 sin(2 t + 7/5) + 106/21 sin(3 t + 37/8) + 25/8 sin(4 t + 5/3) + 11/5 sin(6 t + 8/5) + 5/4 sin(8 t + 7/5) + 3/5 sin(9 t + 1/5) + 13/14 sin(10 t + 9/8) + 54) θ(15 π - t) θ(t - 11 π) + (-7/2 sin(6/5 - 8 t) + 99/5 sin(t + 4/3) + 545/13 sin(2 t + 12/5) + 32/7 sin(3 t + 11/5) + 18/5 sin(4 t + 17/6) + 41/10 sin(5 t + 17/5) + 11/8 sin(6 t + 15/4) + 5/3 sin(7 t + 11/4) + 16/17 sin(9 t + 7/2) + 2/7 sin(10 t + 19/5) + 11/7 sin(11 t + 6/7) + 1/2 sin(12 t + 16/5) + 8/9 sin(13 t + 23/8) + 12/11 sin(14 t + 14/5) - 2701/7) θ(11 π - t) θ(t - 7 π) + (-13/8 sin(1/12 - 14 t) - 3 sin(5/7 - 10 t) - 5 sin(5/4 - 7 t) - 281/6 sin(9/10 - 2 t) + 305/17 sin(t + 23/11) + 77/6 sin(3 t + 2/3) + 33/4 sin(4 t + 49/11) + 28/5 sin(5 t + 61/20) + 20/7 sin(6 t + 13/4) + 19/7 sin(8 t + 7/2) + 50/11 sin(9 t + 1) + sin(11 t + 16/5) + 14/5 sin(12 t + 13/5) + 10/7 sin(13 t + 14/9) + 1579/5) θ(7 π - t) θ(t - 3 π) + (-3/5 sin(1/3 - 13 t) - 44/7 sin(7/8 - 8 t) - 98/5 sin(2/3 - 3 t) + 1393/4 sin(t + 7/5) + 37/7 sin(2 t + 21/5) + 43/5 sin(4 t + 10/7) + 14/3 sin(5 t + 9/4) + 23/22 sin(6 t + 3/5) + 24/7 sin(7 t + 13/3) + 7/4 sin(9 t + 3/4) + 13/5 sin(10 t + 1/7) + 13/7 sin(11 t + 11/7) + 16/15 sin(12 t + 17/5) - 217/4) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-9/8 sin(11/7 - 6 t) + 358/5 sin(t + 33/7) + 17/6 sin(2 t + 14/3) + 23/7 sin(3 t + 33/7) + 2 sin(4 t + 33/7) + 1/6 sin(5 t + 33/7) + 1/24 sin(7 t + 40/9) + 3/4 sin(8 t + 33/7) - 2857/6) θ(139 π - t) θ(t - 135 π) + (-11/4 sin(14/9 - 6 t) - 18/7 sin(14/9 - 5 t) - 9/4 sin(11/7 - 4 t) - 4/5 sin(11/7 - 2 t) - 961/24 sin(11/7 - t) + 22/5 sin(3 t + 8/5) + 402/5) θ(135 π - t) θ(t - 131 π) + (-11/10 sin(5/4 - 184 t) - 5/8 sin(3/4 - 181 t) - 8/5 sin(1 - 174 t) - 4/7 sin(5/6 - 172 t) - 7/4 sin(1/3 - 171 t) - 18/7 sin(3/4 - 163 t) - 14/9 sin(1/7 - 162 t) - 16/7 sin(6/7 - 160 t) - 11/6 sin(1/4 - 154 t) - 16/7 sin(3/5 - 153 t) - 16/15 sin(3/5 - 151 t) - 3/5 sin(1/39 - 148 t) - 25/6 sin(3/7 - 147 t) - 11/8 sin(1/5 - 141 t) - 31/15 sin(3/7 - 140 t) - 7/5 sin(1/5 - 136 t) - 11/6 sin(7/8 - 133 t) - 12/7 sin(6/11 - 132 t) - sin(2/7 - 131 t) - 7/3 sin(6/5 - 130 t) - 21/5 sin(4/5 - 127 t) - 61/30 sin(2/7 - 126 t) - 5/2 sin(2/5 - 122 t) - 9/5 sin(5/6 - 121 t) - 20/19 sin(4/7 - 118 t) - 7/5 sin(1/2 - 114 t) - 11/8 sin(2/5 - 113 t) - 6/7 sin(12/13 - 108 t) - 1/6 sin(1/4 - 104 t) - 10/11 sin(6/7 - 103 t) - 13/6 sin(1 - 102 t) - 11/5 sin(6/7 - 101 t) - 9/7 sin(7/6 - 100 t) - 7/3 sin(13/14 - 96 t) - 19/8 sin(10/11 - 95 t) - 17/11 sin(9/7 - 92 t) - 15/8 sin(10/11 - 89 t) - 1/14 sin(10/11 - 80 t) - 4/3 sin(3/4 - 77 t) - 17/8 sin(7/6 - 76 t) - 12/5 sin(7/6 - 71 t) - 15/7 sin(14/15 - 70 t) - 9/4 sin(7/6 - 69 t) - 5/3 sin(6/5 - 65 t) - 10/9 sin(3/5 - 64 t) - 15/8 sin(11/7 - 63 t) - 8/3 sin(5/4 - 61 t) - 16/7 sin(8/9 - 60 t) - 11/10 sin(6/5 - 55 t) - 10/9 sin(4/3 - 54 t) - 19/10 sin(5/4 - 53 t) - 79/26 sin(9/8 - 52 t) - 16/5 sin(9/7 - 51 t) - 3/5 sin(10/9 - 48 t) - 3/4 sin(3/2 - 47 t) - 1/4 sin(1/2 - 46 t) - 7/3 sin(11/7 - 45 t) - 32/7 sin(10/7 - 43 t) - 10/3 sin(8/7 - 42 t) - 11/3 sin(4/3 - 41 t) - 4 sin(4/3 - 38 t) - 29/10 sin(13/9 - 31 t) - 11/4 sin(9/8 - 30 t) - 36/5 sin(11/8 - 29 t) - 19/8 sin(9/7 - 28 t) - 31/4 sin(16/11 - 23 t) - 9/7 sin(9/10 - 22 t) - 40/3 sin(3/2 - 21 t) - 43/8 sin(3/2 - 20 t) - 124/5 sin(13/9 - 18 t) - 97/5 sin(10/7 - 17 t) - 9/7 sin(4/3 - 13 t) - 23/4 sin(3/2 - 12 t) - 151/10 sin(17/11 - 10 t) - 9/2 sin(7/5 - 9 t) - 121/7 sin(11/7 - 8 t) - 151/5 sin(11/7 - 6 t) - 244/5 sin(11/7 - 4 t) - 1160/7 sin(11/7 - 2 t) + 5/6 sin(161 t) + 8/9 sin(t + 14/15) + 50/9 sin(3 t + 7/5) + 36/5 sin(5 t + 3/2) + 73/12 sin(7 t + 11/7) + 2/5 sin(11 t + 9/7) + 9/5 sin(14 t + 23/5) + 9/4 sin(15 t + 35/18) + 15/4 sin(16 t + 33/7) + 2 sin(19 t + 14/3) + 11/6 sin(24 t + 23/5) + 71/7 sin(25 t + 7/4) + 10/9 sin(26 t + 4) + 6/7 sin(27 t + 9/7) + 14/3 sin(32 t + 12/7) + 16/7 sin(33 t + 9/5) + 33/16 sin(34 t + 13/8) + 35/8 sin(35 t + 7/4) + 24/5 sin(36 t + 13/7) + 9/7 sin(37 t + 3/2) + 4/9 sin(39 t + 5/6) + 4/3 sin(40 t + 33/7) + 6/5 sin(44 t + 5/3) + 3/5 sin(49 t + 21/5) + 7/5 sin(50 t + 15/8) + 5/9 sin(56 t + 5/3) + 9/5 sin(57 t + 21/10) + 53/18 sin(58 t + 45/22) + 2/3 sin(59 t + 8/5) + 13/6 sin(62 t + 9/5) + 2/3 sin(66 t + 13/6) + 7/5 sin(67 t + 12/5) + 1/6 sin(68 t + 7/2) + 3/7 sin(72 t + 8/5) + 3/7 sin(73 t + 30/7) + 7/9 sin(74 t + 11/4) + 12/11 sin(75 t + 15/8) + 1/4 sin(78 t + 70/23) + 17/16 sin(79 t + 2) + 21/20 sin(81 t + 21/10) + 7/5 sin(82 t + 11/6) + 1/3 sin(83 t + 31/7) + 18/17 sin(84 t + 3/2) + 2/3 sin(85 t + 13/6) + 6/5 sin(86 t + 19/9) + 3/5 sin(87 t + 13/5) + 2/5 sin(88 t + 4/5) + 1/5 sin(90 t + 31/10) + 31/30 sin(91 t + 27/14) + 1/2 sin(93 t + 12/5) + 1/4 sin(94 t + 26/9) + sin(97 t + 23/11) + 19/18 sin(98 t + 45/11) + 1/5 sin(99 t + 40/9) + 3/4 sin(105 t + 50/11) + 6/5 sin(106 t + 15/7) + 1/3 sin(107 t + 9/7) + 11/5 sin(109 t + 2) + 3/2 sin(110 t + 13/5) + 2 sin(111 t + 7/3) + 5/7 sin(112 t + 21/11) + 5/6 sin(115 t + 13/6) + 5/3 sin(116 t + 14/5) + 11/6 sin(117 t + 19/10) + sin(119 t + 13/5) + 26/7 sin(120 t + 7/3) + 9/5 sin(123 t + 2) + 17/9 sin(124 t + 7/2) + 7/6 sin(125 t + 8/3) + 1/3 sin(128 t + 14/3) + 5/6 sin(129 t + 13/4) + 7/6 sin(134 t + 19/6) + 2/5 sin(135 t + 20/7) + 4/7 sin(137 t + 3/7) + 13/5 sin(138 t + 23/8) + 9/4 sin(139 t + 19/8) + 57/28 sin(142 t + 19/9) + 5/7 sin(143 t + 16/7) + 5/6 sin(144 t + 13/4) + 19/5 sin(145 t + 13/5) + 1/4 sin(146 t + 11/8) + 12/5 sin(149 t + 23/8) + 9/8 sin(150 t + 31/7) + 3/5 sin(152 t + 3/4) + 6/11 sin(155 t + 22/7) + 17/7 sin(156 t + 17/6) + 9/7 sin(157 t + 17/6) + 5/8 sin(158 t + 3) + 5/4 sin(159 t + 11/6) + 4/3 sin(164 t + 31/15) + 4/5 sin(165 t + 17/5) + 11/8 sin(166 t + 16/5) + 12/7 sin(167 t + 13/5) + 5/8 sin(168 t + 30/7) + 5/6 sin(169 t + 1/6) + 3/4 sin(170 t + 1/4) + 4/3 sin(173 t + 21/8) + 5/7 sin(175 t + 4/3) + 3/7 sin(176 t + 22/5) + 1/2 sin(177 t + 47/16) + 1/4 sin(178 t + 21/11) + 6/11 sin(179 t + 24/7) + 7/4 sin(180 t + 23/9) + 4/7 sin(182 t + 25/13) + 15/16 sin(183 t + 14/13) + 27/14 sin(185 t + 17/7) + 3/7 sin(186 t + 5/9) + 2229/10) θ(131 π - t) θ(t - 127 π) + (-2/9 sin(10/7 - 8 t) - 66/13 sin(11/7 - 3 t) - 1993/9 sin(11/7 - t) + 247/5 sin(2 t + 8/5) + 61/3 sin(4 t + 8/5) + 77/9 sin(5 t + 8/5) + 41/6 sin(6 t + 8/5) + 17/8 sin(7 t + 11/7) + 3 sin(9 t + 8/5) + 12/13 sin(10 t + 8/5) - 6253/12) θ(127 π - t) θ(t - 123 π) + (-8/7 sin(14/9 - 18 t) - 1/5 sin(13/14 - 17 t) - 13/4 sin(3/2 - 16 t) - 16/7 sin(3/2 - 14 t) - 31/5 sin(3/2 - 12 t) - 46/9 sin(17/11 - 10 t) - 57/7 sin(14/9 - 8 t) - 3/4 sin(14/15 - 7 t) - 125/7 sin(14/9 - 6 t) - 196/5 sin(11/7 - 4 t) - 1494/7 sin(11/7 - 2 t) - 156 sin(11/7 - t) + 25/2 sin(3 t + 3/2) + 67/9 sin(5 t + 3/2) + 1/3 sin(9 t + 4/7) + 2/7 sin(11 t + 5/11) + 9/10 sin(13 t + 4/3) + 2/3 sin(15 t + 9/7) + 208) θ(123 π - t) θ(t - 119 π) + (-1/4 sin(11/7 - 19 t) - 84/13 sin(11/7 - 13 t) - 14/3 sin(11/7 - 10 t) - 11/6 sin(17/11 - 9 t) - 4/3 sin(11/7 - 7 t) - 16/5 sin(11/7 - 5 t) - 48/7 sin(11/7 - 4 t) - 27/4 sin(11/7 - 3 t) + 41/2 sin(t + 11/7) + 17/5 sin(2 t + 33/7) + 5/8 sin(6 t + 11/7) + 9/7 sin(8 t + 11/7) + 34/11 sin(11 t + 8/5) + 1/6 sin(12 t + 10/7) + 13/6 sin(14 t + 11/7) + 7/5 sin(15 t + 14/3) + 47/12 sin(16 t + 11/7) + 19/5 sin(17 t + 33/7) + 13/4 sin(18 t + 11/7) + 16/17 sin(20 t + 13/8) + 13/4 sin(21 t + 11/7) - 2573/5) θ(119 π - t) θ(t - 115 π) + (-3/4 sin(7/5 - 57 t) - 1/6 sin(4/3 - 56 t) - 1/5 sin(5/4 - 55 t) - 11/6 sin(3/2 - 54 t) - 3/8 sin(11/7 - 49 t) - 4/3 sin(3/2 - 48 t) - sin(16/11 - 46 t) - 4/3 sin(3/2 - 45 t) - 7/6 sin(17/11 - 39 t) - 13/5 sin(3/2 - 38 t) - 10/3 sin(3/2 - 32 t) - 4/3 sin(14/9 - 31 t) - 9/4 sin(3/2 - 25 t) - 11/3 sin(3/2 - 24 t) - 19/7 sin(17/11 - 20 t) - 41/5 sin(14/9 - 19 t) - 24/7 sin(11/7 - 15 t) - 126 sin(11/7 - t) + 475/6 sin(2 t + 8/5) + 32 sin(3 t + 8/5) + 101/20 sin(4 t + 5/3) + 696/17 sin(5 t + 8/5) + 4/7 sin(6 t + 2) + 71/6 sin(7 t + 8/5) + 8 sin(8 t + 8/5) + 10/7 sin(9 t + 23/5) + 20/3 sin(10 t + 8/5) + 19/5 sin(11 t + 13/8) + 7/5 sin(12 t + 8/5) + 24/5 sin(13 t + 8/5) + 19/18 sin(14 t + 14/3) + 1/2 sin(16 t + 67/33) + 87/8 sin(17 t + 8/5) + 21/5 sin(18 t + 13/8) + 32/5 sin(21 t + 13/8) + 34/7 sin(22 t + 5/3) + 11/6 sin(23 t + 13/8) + 1/5 sin(26 t + 22/5) + 13/4 sin(27 t + 13/8) + 1/5 sin(28 t + 17/8) + 7/6 sin(29 t + 9/5) + 13/4 sin(30 t + 5/3) + 31/10 sin(33 t + 5/3) + 20/7 sin(34 t + 12/7) + 1/5 sin(35 t + 8/3) + 5/6 sin(36 t + 5/3) + 11/7 sin(37 t + 8/5) + 1/5 sin(40 t + 57/14) + 2 sin(41 t + 12/7) + 9/4 sin(42 t + 11/6) + 31/9 sin(43 t + 7/4) + 17/11 sin(44 t + 5/3) + 1/9 sin(47 t + 3/5) + 6/5 sin(50 t + 15/8) + 4 sin(51 t + 12/7) + 3/4 sin(52 t + 73/36) + 1/3 sin(53 t + 9/5) + sin(58 t + 7/4) + 15/8 sin(59 t + 7/4) - 3540/7) θ(115 π - t) θ(t - 111 π) + (-3/2 sin(14/9 - 5 t) - 19/7 sin(11/7 - 3 t) + 236/3 sin(t + 11/7) + 71/6 sin(2 t + 33/7) + sin(4 t + 11/7) + 1/11 sin(6 t + 5/3) + 5/7 sin(7 t + 8/5) - 639/8) θ(111 π - t) θ(t - 107 π) + (-3/7 sin(11/7 - 18 t) - 4/3 sin(11/7 - 15 t) - 7/6 sin(11/7 - 13 t) - 2/3 sin(11/7 - 11 t) - 9/8 sin(11/7 - 7 t) - 6/5 sin(11/7 - 6 t) - 25/6 sin(11/7 - 4 t) - 17/3 sin(11/7 - 3 t) - 57/8 sin(11/7 - 2 t) + 345/7 sin(t + 11/7) + 1/5 sin(5 t + 5/3) + 1/2 sin(8 t + 8/5) + 1/2 sin(9 t + 8/5) + 1/2 sin(10 t + 33/7) + 3/2 sin(12 t + 8/5) + 5/3 sin(14 t + 8/5) + 8/7 sin(16 t + 8/5) + 1/10 sin(17 t + 14/9) + 1/4 sin(19 t + 8/5) - 943/5) θ(107 π - t) θ(t - 103 π) + (-11/10 sin(3/2 - 17 t) - 4/5 sin(3/2 - 14 t) - 2/3 sin(3/2 - 13 t) - 9/5 sin(11/7 - 10 t) - 19/4 sin(11/7 - 5 t) - 176/9 sin(11/7 - 2 t) + 8/9 sin(t + 14/3) + 32/5 sin(3 t + 33/7) + 31/5 sin(4 t + 33/7) + 9/4 sin(6 t + 33/7) + 1/4 sin(7 t + 41/9) + 14/9 sin(8 t + 33/7) + 3/4 sin(9 t + 33/7) + 1/17 sin(11 t + 22/5) + 5/6 sin(12 t + 5/3) + 5/7 sin(15 t + 5/3) + 1/4 sin(16 t + 12/7) - 141/2) θ(103 π - t) θ(t - 99 π) + (-4/5 sin(11/7 - 9 t) - 16/3 sin(11/7 - t) + 59/6 sin(2 t + 8/5) + 5/4 sin(3 t + 8/5) + 46/9 sin(4 t + 8/5) + 27/26 sin(5 t + 33/7) + 2 sin(6 t + 8/5) + 1/3 sin(7 t + 14/3) + 4/5 sin(8 t + 8/5) + 1/14 sin(10 t + 10/7) - 4225/32) θ(99 π - t) θ(t - 95 π) + (-3/2 sin(11/7 - 7 t) - 22/3 sin(11/7 - 3 t) - 123/8 sin(11/7 - t) + 11/7 sin(2 t + 8/5) + 81/20 sin(4 t + 8/5) + 5/6 sin(5 t + 11/7) + 12/5 sin(6 t + 8/5) + 4/9 sin(8 t + 8/5) + 16/17 sin(9 t + 14/3) + 13/8 sin(10 t + 33/7) - 2819/12) θ(95 π - t) θ(t - 91 π) + (-18/5 sin(11/7 - 7 t) - 24/5 sin(11/7 - 3 t) + 248/9 sin(t + 11/7) + 22 sin(2 t + 11/7) + 101/6 sin(4 t + 11/7) + 59/9 sin(5 t + 3/2) + 125/9 sin(6 t + 11/7) + 6 sin(8 t + 11/7) + 11/10 sin(9 t + 9/7) + 37/12 sin(10 t + 3/2) + 26/5 sin(11 t + 14/3) + 11/4 sin(12 t + 23/5) + 3/8 sin(13 t + 4/3) + 2 sin(14 t + 14/9) + 7/3 sin(15 t + 3/2) + 11/6 sin(16 t + 3/2) + 2 sin(17 t + 23/5) + 9/7 sin(18 t + 23/5) + 4/7 sin(19 t + 14/3) + 5/11 sin(20 t + 14/3) + 14/15 sin(21 t + 10/7) + 1/6 sin(22 t + 40/9) + 1/8 sin(23 t + 37/9) + 5/8 sin(24 t + 7/5) + 1/7 sin(25 t + 4/3) + 1/2 sin(26 t + 10/7) + 1/6 sin(27 t + 6/5) + 1/3 sin(28 t + 11/7) + 1/15 sin(29 t + 2/3) - 1482/5) θ(91 π - t) θ(t - 87 π) + (-2/7 sin(17/11 - 6 t) - 2/5 sin(13/9 - 4 t) - 6/13 sin(10/7 - 2 t) + 807/8 sin(t + 11/7) + 32/3 sin(3 t + 11/7) + 26/7 sin(5 t + 11/7) - 1060/3) θ(87 π - t) θ(t - 83 π) + (-5/4 sin(11/7 - 6 t) - 2/7 sin(11/7 - 5 t) - 5/3 sin(11/7 - 4 t) - 19/6 sin(11/7 - 3 t) - 217/36 sin(11/7 - 2 t) - 139/5 sin(11/7 - t) + 1/6 sin(7 t + 8/5) - 2307/8) θ(83 π - t) θ(t - 79 π) + (702/7 sin(t + 33/7) + 119/6 sin(2 t + 33/7) + 131/13 sin(3 t + 33/7) + 9/5 sin(4 t + 14/3) + 17/6 sin(5 t + 33/7) + 23/9 sin(6 t + 33/7) + 11/6 sin(7 t + 33/7) - 2705/9) θ(79 π - t) θ(t - 75 π) + (-19/7 sin(11/7 - 5 t) - 1660/21 sin(11/7 - t) + 59/20 sin(2 t + 11/7) + 58/7 sin(3 t + 33/7) + 12/7 sin(4 t + 8/5) + 2/3 sin(6 t + 8/5) - 2512/5) θ(75 π - t) θ(t - 71 π) + (291/4 sin(t + 33/7) + 12/5 sin(2 t + 32/7) + 7 sin(3 t + 33/7) + 34/33 sin(4 t + 37/8) + 12/5 sin(5 t + 33/7) + sin(6 t + 14/3) - 1325/4) θ(71 π - t) θ(t - 67 π) + (-1/5 sin(10/7 - 15 t) - 7/6 sin(3/2 - 14 t) - 6/5 sin(17/11 - 12 t) - 3/5 sin(3/2 - 11 t) - 9/8 sin(11/7 - 7 t) + 119/10 sin(t + 11/7) + 23/5 sin(2 t + 8/5) + 9/7 sin(3 t + 8/5) + 65/32 sin(4 t + 8/5) + 10/7 sin(5 t + 8/5) + 1/12 sin(6 t + 17/11) + 3/4 sin(8 t + 8/5) + 6/5 sin(9 t + 8/5) + 17/7 sin(10 t + 8/5) + 1/2 sin(13 t + 8/5) + 1/7 sin(16 t + 14/3) + 1/2 sin(17 t + 8/5) - 1787/4) θ(67 π - t) θ(t - 63 π) + (-4/7 sin(17/11 - 35 t) - sin(14/9 - 32 t) - 14/5 sin(11/7 - 23 t) - 1/2 sin(4/3 - 18 t) - 1/4 sin(13/9 - 13 t) - 13/5 sin(11/7 - 9 t) - 19/10 sin(11/7 - 8 t) - 8/5 sin(11/7 - 7 t) - 10/7 sin(14/9 - 4 t) + 87/4 sin(t + 11/7) + 122/7 sin(2 t + 33/7) + 123/7 sin(3 t + 33/7) + 9/4 sin(5 t + 14/9) + 18/7 sin(6 t + 11/7) + 23/9 sin(10 t + 11/7) + 9/5 sin(11 t + 11/7) + 15/14 sin(12 t + 11/7) + 5/6 sin(14 t + 23/5) + 3/2 sin(15 t + 14/9) + 5/7 sin(16 t + 14/3) + 5/9 sin(17 t + 9/2) + 2/3 sin(19 t + 23/5) + 1/5 sin(20 t + 22/5) + 12/7 sin(21 t + 3/2) + 3/5 sin(22 t + 11/6) + 19/5 sin(24 t + 14/9) + 61/12 sin(25 t + 14/3) + 2/3 sin(26 t + 8/5) + 27/11 sin(27 t + 16/11) + 7/2 sin(28 t + 14/3) + 7/5 sin(29 t + 5/3) + 5/3 sin(30 t + 7/5) + 29/7 sin(31 t + 11/7) + 2/7 sin(33 t + 40/9) + 1/6 sin(34 t + 5/6) + 3 sin(36 t + 14/3) + 7/8 sin(37 t + 37/8) + 1/6 sin(38 t + 5/6) + 9/7 sin(39 t + 14/9) + 1/3 sin(40 t + 14/3) + 3/4 sin(41 t + 23/5) + 1/5 sin(42 t + 5/4) + 3/4 sin(43 t + 14/3) + 1/3 sin(44 t + 15/8) + sin(45 t + 7/5) + 4/3 sin(46 t + 8/5) - 4566/11) θ(63 π - t) θ(t - 59 π) + (-23/8 sin(17/11 - 5 t) + 307/6 sin(t + 4) + 69/7 sin(2 t + 17/8) + 19/4 sin(3 t + 13/3) + sin(4 t + 16/7) + 6/5 sin(6 t + 1/5) + 10/9 sin(7 t + 23/5) + 1/3 sin(8 t + 13/6) + 1/2 sin(9 t + 14/3) + 5/8 sin(10 t + 2/5) - 4522/11) θ(59 π - t) θ(t - 55 π) + (-2/3 sin(5/6 - 10 t) - 13/8 sin(1 - 8 t) - 13/5 sin(1/4 - 6 t) - 29/10 sin(2/7 - 4 t) + 84 sin(t + 1/2) + 79/7 sin(2 t + 3/2) + 47/8 sin(3 t + 4/9) + 5/6 sin(5 t + 2/7) + 3/5 sin(7 t + 11/3) + 3/5 sin(9 t + 17/7) - 1259/3) θ(55 π - t) θ(t - 51 π) + (-59/13 sin(5/9 - 10 t) - 13/5 sin(1/7 - 8 t) - 13/3 sin(1/12 - 4 t) - 49/4 sin(2/5 - 2 t) + 64/3 sin(t + 19/7) + 48/5 sin(3 t + 34/11) + 21/4 sin(5 t + 14/5) + 24/5 sin(6 t + 1/8) + 54/11 sin(7 t + 29/8) + 19/4 sin(9 t + 23/7) + 11/4 sin(11 t + 9/4) + 3/8 sin(12 t + 5/3) + 7/6 sin(13 t + 17/4) + 8/7 sin(14 t + 1/5) + 19/9 sin(15 t + 38/11) + 13/14 sin(16 t + 26/25) + 8/5 sin(17 t + 18/5) - 819/8) θ(51 π - t) θ(t - 47 π) + (-3 sin(11/10 - 13 t) - 55/7 sin(3/5 - 10 t) - 25/6 sin(1/4 - 9 t) - 4/7 sin(7/6 - 6 t) - 62/21 sin(7/5 - 5 t) + 153/11 sin(t + 9/10) + 55/6 sin(2 t + 18/5) + 32/7 sin(3 t + 1/6) + 4/3 sin(4 t + 13/8) + 11/6 sin(7 t + 10/7) + 19/10 sin(8 t + 5/3) + 4 sin(11 t + 2/7) + 16/5 sin(12 t + 9/4) + 12/7 sin(14 t + 9/4) + 10/11 sin(15 t + 4) + 4/3 sin(16 t + 1/4) + 19/10 sin(17 t + 13/5) + 16/3) θ(47 π - t) θ(t - 43 π) + (-3/5 sin(10/11 - 8 t) - 4/3 sin(1/2 - 5 t) + 19/9 sin(4 t) + 5 sin(t + 1/5) + 13/4 sin(2 t + 3/7) + 10/9 sin(3 t + 41/14) + 5/2 sin(6 t + 3/7) + 16/5 sin(7 t + 15/7) + 3/4 sin(9 t + 14/3) + 5/7 sin(10 t + 25/6) - 1198/3) θ(43 π - t) θ(t - 39 π) + (-32/13 sin(1 - 10 t) + 22/9 sin(t + 23/5) + 11/7 sin(2 t + 1/5) + 11/7 sin(3 t + 19/7) + 12/5 sin(4 t + 9/5) + 6/5 sin(5 t + 2/7) + 1/2 sin(6 t + 7/6) + 3/2 sin(7 t + 5/6) + 1/2 sin(8 t + 17/4) + 19/10 sin(9 t + 7/6) - 944/5) θ(39 π - t) θ(t - 35 π) + (-3/7 sin(3/7 - 9 t) - 3/5 sin(5/4 - 8 t) + 19/9 sin(t + 26/7) + 4/3 sin(2 t + 29/28) + sin(3 t + 9/8) + sin(4 t + 1) + 7/5 sin(5 t + 17/9) + 26/5 sin(6 t + 35/8) + 13/9 sin(7 t + 17/5) + 3/7 sin(10 t + 17/4) - 337/2) θ(35 π - t) θ(t - 31 π) + (-1/3 sin(7/6 - 9 t) - 5/4 sin(4/9 - 7 t) - 18/7 sin(7/5 - 4 t) + 47/16 sin(t + 59/15) + 3 sin(2 t + 33/16) + 2/3 sin(3 t + 19/9) + 17/5 sin(5 t + 4) + 4/3 sin(6 t + 14/3) + 13/8 sin(8 t + 38/13) + 2/5 sin(10 t + 49/11) - 421/5) θ(31 π - t) θ(t - 27 π) + (-5/7 sin(2/3 - 5 t) + 96/5 sin(t + 19/7) + 9/10 sin(2 t + 13/5) + 9/10 sin(3 t + 8/5) + 1/3 sin(4 t + 37/12) - 869/5) θ(27 π - t) θ(t - 23 π) + (-13/9 sin(3/4 - 3 t) - 125/7 sin(1/6 - t) + 3/4 sin(2 t + 14/5) + 3/5 sin(4 t + 4) + 1/3 sin(5 t + 30/7) + 2/7 sin(6 t + 30/7) - 447/5) θ(23 π - t) θ(t - 19 π) + (-9/8 sin(1/6 - 10 t) - 3/2 sin(4/9 - 8 t) - 13/12 sin(4/7 - 6 t) - 11/4 sin(9/8 - 4 t) - 49/8 sin(11/10 - 2 t) + 116/5 sin(t + 6/7) + 4/5 sin(3 t + 21/10) + 5/6 sin(5 t + 22/7) + 1/4 sin(7 t + 17/6) + 1/5 sin(9 t + 5/11) - 1284/7) θ(19 π - t) θ(t - 15 π) + (-23/24 sin(1/7 - 10 t) - 3/4 sin(1/20 - 9 t) - 5/7 sin(1/8 - 7 t) - 23/22 sin(1/6 - 6 t) - 8/5 sin(3/5 - 5 t) - 3/8 sin(12/13 - 4 t) - 16/5 sin(3/5 - 3 t) + 117/4 sin(t + 21/5) + 53/13 sin(2 t + 26/7) + 18/17 sin(8 t + 1/4) - 274/3) θ(15 π - t) θ(t - 11 π) + (-4/7 sin(7/6 - 11 t) - 461/8 sin(1/5 - 2 t) - 1217/16 sin(5/4 - t) + 73/3 sin(3 t + 10/3) + 83/6 sin(4 t + 7/5) + 36/5 sin(5 t + 4/3) + 26/7 sin(6 t + 53/18) + 19/5 sin(7 t + 11/7) + 9/2 sin(8 t + 10/3) + 14/5 sin(9 t + 5/3) + 2/3 sin(10 t + 11/12) + 10/9 sin(12 t + 13/7) + 1/5 sin(13 t + 21/10) + 6/5 sin(14 t + 9/7) - 2017/7) θ(11 π - t) θ(t - 7 π) + (-6/5 sin(9/10 - 13 t) - 12/5 sin(5/4 - 11 t) - sin(5/6 - 10 t) - 85/7 sin(2/3 - 5 t) - 157/9 sin(4/3 - t) + 517/6 sin(2 t + 5/7) + 271/7 sin(3 t + 9/4) + 139/6 sin(4 t + 1) + 9 sin(6 t + 9/2) + 23/5 sin(7 t + 20/19) + 17/7 sin(8 t + 8/9) + 11/3 sin(9 t + 4/5) + 2/5 sin(12 t + 5/7) + 5/7 sin(14 t + 25/24) - 1701/23) θ(7 π - t) θ(t - 3 π) + (-14/5 sin(15/16 - 8 t) - 5/4 sin(2/5 - 7 t) - 14/3 sin(3/5 - 4 t) + 2226/5 sin(t + 19/6) + 273/34 sin(2 t + 9/7) + 65/3 sin(3 t + 1/3) + 15/4 sin(5 t + 29/10) + 31/7 sin(6 t + 35/12) + sin(9 t + 1/11) + 53/26 sin(10 t + 4/5) + 5/7 sin(11 t + 6/5) + 3/5 sin(12 t + 7/2) + 2/3 sin(13 t + 27/7) - 949/5) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

アーノルドシュワルツェネッガー（Arnold Alois Schwarzenegger）

x(t) = ((-32/19 sin(37/25 - 13 t) - 83/22 sin(65/43 - 12 t) - 3/7 sin(48/31 - 11 t) - 277/39 sin(59/39 - 7 t) - 289/30 sin(49/32 - 6 t) + 4505/18 sin(t + 41/26) + 273/31 sin(2 t + 243/52) + 749/20 sin(3 t + 49/31) + 1681/83 sin(4 t + 77/48) + 669/37 sin(5 t + 8/5) + 82/21 sin(8 t + 29/18) + 57/13 sin(9 t + 27/16) + 229/30 sin(10 t + 18/11) + 53/29 sin(14 t + 53/31) - 1289/11) θ(95 π - t) θ(t - 91 π) + (-13/25 sin(32/21 - 13 t) - 25/26 sin(43/28 - 12 t) - 79/33 sin(65/42 - 9 t) - 23/7 sin(31/20 - 8 t) - 34/5 sin(67/43 - 5 t) - 393/25 sin(25/16 - 4 t) - 253/20 sin(25/16 - 3 t) - 137/11 sin(36/23 - 2 t) + 745/36 sin(t + 74/47) + 19/34 sin(6 t + 29/18) + 20/19 sin(7 t + 27/17) + 17/29 sin(10 t + 50/31) + 45/46 sin(11 t + 141/88) + 4/9 sin(14 t + 71/44) + 5/21 sin(15 t + 53/33) + 4015/32) θ(91 π - t) θ(t - 87 π) + (-9/37 sin(45/29 - 11 t) + 680/37 sin(t + 52/33) + 2177/41 sin(2 t + 113/24) + 85/27 sin(3 t + 61/38) + 28/23 sin(4 t + 229/49) + 194/33 sin(5 t + 127/27) + 197/29 sin(6 t + 52/33) + 128/27 sin(7 t + 47/10) + 76/17 sin(8 t + 155/33) + 48/37 sin(9 t + 127/27) + 211/48 sin(10 t + 25/16) + 117/40 sin(12 t + 47/10) - 4832/27) θ(87 π - t) θ(t - 83 π) + (-23/28 sin(53/34 - 11 t) - 1/3 sin(19/14 - 10 t) - 51/20 sin(35/23 - 9 t) - 49/12 sin(17/11 - 8 t) - 321/22 sin(53/34 - 4 t) - 971/33 sin(64/41 - 3 t) - 1396/27 sin(58/37 - t) + 671/41 sin(2 t + 47/30) + 101/19 sin(5 t + 30/19) + 275/28 sin(6 t + 46/29) + 29/21 sin(7 t + 127/27) + 1/27 sin(12 t + 137/33) + 44/41 sin(13 t + 8/5) - 9994/23) θ(83 π - t) θ(t - 79 π) + (-83/38 sin(65/42 - 14 t) - 156/31 sin(29/19 - 12 t) - 8/23 sin(52/45 - 11 t) - 157/14 sin(14/9 - 10 t) - 257/29 sin(17/11 - 8 t) - 77/19 sin(40/27 - 7 t) - 1739/52 sin(53/34 - 6 t) - 444/41 sin(23/15 - 5 t) - 74/11 sin(253/169 - 4 t) + 21377/121 sin(t + 11/7) + 149/39 sin(2 t + 59/37) + 786/23 sin(3 t + 212/45) + 164/23 sin(9 t + 17/11) + 47/32 sin(13 t + 37/24) + 15/38 sin(15 t + 83/48) - 2661/28) θ(79 π - t) θ(t - 75 π) + (-179/37 sin(36/23 - 3 t) - 232/5 sin(80/51 - t) + 107/24 sin(2 t + 11/7) + 18/73 sin(4 t + 20/13) + 63/41 sin(5 t + 146/31) + 5210/29) θ(75 π - t) θ(t - 71 π) + (-81/56 sin(57/37 - t) + 1856/39 sin(2 t + 11/7) + 188/39 sin(3 t + 47/30) + 125/24 sin(4 t + 49/31) + 33/28 sin(5 t + 103/22) + 131/56 sin(6 t + 11/7) + 65/41 sin(7 t + 36/23) + 67/25 sin(8 t + 47/30) + 6/17 sin(9 t + 159/34) + 3/4 sin(10 t + 35/22) + 3/28 sin(11 t + 59/13) + 49/38 sin(12 t + 52/33) + 7/24 sin(13 t + 58/37) - 6781/19) θ(71 π - t) θ(t - 67 π) + (356/27 sin(t + 96/61) + 67/8 sin(2 t + 52/33) + 19/33 sin(3 t + 147/92) + 22/15 sin(4 t + 30/19) + 1/97 sin(5 t + 81/20) + 39/31 sin(6 t + 49/31) + 1/48 sin(7 t + 163/82) + 15/28 sin(8 t + 35/22) + 2/19 sin(9 t + 28/17) - 416/21) θ(67 π - t) θ(t - 63 π) + (-15/59 sin(45/29 - 3 t) + 1739/36 sin(t + 91/58) + 237/28 sin(2 t + 36/23) + 157/56 sin(4 t + 41/26) + 21/19 sin(5 t + 39/25) + 8/21 sin(6 t + 29/19) + 6/13 sin(7 t + 68/43) + 2/17 sin(8 t + 51/31) + 7/27 sin(9 t + 87/56) + 7/33 sin(10 t + 43/28) + 1/7 sin(11 t + 58/37) + 3/31 sin(12 t + 51/32) - 21374/95) θ(63 π - t) θ(t - 59 π) + (-59/176 sin(3/2 - 9 t) - 1/9 sin(66/47 - 8 t) - 73/85 sin(48/31 - 7 t) - 12/19 sin(48/31 - 6 t) - 7/5 sin(45/29 - 5 t) - 13/45 sin(68/47 - 4 t) - 347/124 sin(48/31 - 3 t) - 169/25 sin(39/25 - 2 t) - 650/37 sin(47/30 - t) - 10339/113) θ(59 π - t) θ(t - 55 π) + (-11/56 sin(36/23 - 12 t) - 9/23 sin(36/23 - 10 t) - 29/40 sin(58/37 - 8 t) - 28/31 sin(67/43 - 6 t) - 395/34 sin(47/30 - 2 t) + 4906/327 sin(t + 96/61) + 105/31 sin(3 t + 11/7) + 22/25 sin(4 t + 80/17) + 6/43 sin(5 t + 32/21) + 1/2 sin(7 t + 11/7) + 5/36 sin(9 t + 52/35) + 3/11 sin(11 t + 46/29) - 6341/31) θ(55 π - t) θ(t - 51 π) + (1457/29 sin(t + 96/61) + 485/29 sin(2 t + 63/40) + 143/21 sin(3 t + 52/33) + 37/7 sin(4 t + 68/43) + 55/34 sin(5 t + 27/17) + 28/25 sin(6 t + 52/33) + 16/25 sin(7 t + 8/5) + 21/11 sin(8 t + 19/12) + 17/36 sin(9 t + 35/22) + 17/32 sin(10 t + 75/47) + 7/23 sin(11 t + 52/33) + 235/14) θ(51 π - t) θ(t - 47 π) + (257/26 sin(t + 11/7) + 23/54 sin(2 t + 107/68) + 15/11 sin(3 t + 102/65) - 9983/46) θ(47 π - t) θ(t - 43 π) + (-421/19 sin(102/65 - 2 t) + 2261/40 sin(t + 11/7) + 186/19 sin(3 t + 96/61) + 119/40 sin(4 t + 36/23) + 5125/28) θ(43 π - t) θ(t - 39 π) + (47/7 sin(t + 80/17) + 173/12 sin(2 t + 23/15) + 68/43 sin(3 t + 173/130) + 26/23 sin(4 t + 38/23) - 5115/38) θ(39 π - t) θ(t - 35 π) + (-11/25 sin(26/53 - 4 t) + 26/23 sin(t + 112/67) + 407/25 sin(2 t + 209/45) + 16/33 sin(3 t + 23/9) + 24/97 sin(5 t + 61/19) - 3281/15) θ(35 π - t) θ(t - 31 π) + (-39/23 sin(7/5 - 9 t) - 10/27 sin(18/13 - 8 t) - 15/32 sin(32/23 - 7 t) - 245/29 sin(80/53 - 3 t) - 79/32 sin(49/32 - 2 t) + 536/31 sin(t + 43/27) + 1/75 sin(4 t + 54/41) + 161/36 sin(5 t + 67/40) + 6/13 sin(6 t + 12/7) - 1235/7) θ(31 π - t) θ(t - 27 π) + (29/33 sin(t + 62/39) + 362/145 sin(2 t + 251/63) - 4911/35) θ(27 π - t) θ(t - 23 π) + (80/31 sin(t + 84/31) + 45/32 sin(2 t + 107/37) - 7043/32) θ(23 π - t) θ(t - 19 π) + (-23/34 sin(37/29 - 7 t) - 21/34 sin(27/53 - 6 t) + 2611/30 sin(t + 14/9) + 85/43 sin(2 t + 26/23) + 27/11 sin(3 t + 38/27) + 26/25 sin(4 t + 40/23) + 19/20 sin(5 t + 29/19) - 6187/38) θ(19 π - t) θ(t - 15 π) + (-2/7 sin(17/18 - 8 t) - 31/21 sin(26/19 - 6 t) + 13/12 sin(t + 164/37) + 16/5 sin(2 t + 71/34) + 498/61 sin(3 t + 9/23) + 83/22 sin(4 t + 9/38) + 63/22 sin(5 t + 72/29) + 21/22 sin(7 t + 47/34) - 2531/17) θ(15 π - t) θ(t - 11 π) + (-2/25 sin(2/5 - 10 t) - 11/17 sin(77/51 - 8 t) - 34/35 sin(10/7 - 4 t) + 58/19 sin(t + 49/20) + 1237/41 sin(2 t + 135/31) + 27/10 sin(3 t + 102/31) + 1/5 sin(5 t + 167/40) + 104/55 sin(6 t + 95/27) + 45/38 sin(7 t + 47/17) + 7/26 sin(9 t + 173/39) + 13/31 sin(11 t + 81/52) + 7/34 sin(12 t + 119/26) + 1/14 sin(13 t + 60/17) - 2283/13) θ(11 π - t) θ(t - 7 π) + (-93/40 sin(3/8 - 22 t) - 24/23 sin(1/49 - 20 t) - 33/35 sin(42/43 - 17 t) - 142/49 sin(15/17 - 15 t) - 133/43 sin(3/23 - 13 t) - 95/14 sin(2/35 - 11 t) - 125/33 sin(40/27 - 9 t) - 7/45 sin(13/31 - 8 t) - 43/16 sin(21/34 - 6 t) - 258/37 sin(63/41 - 4 t) - 740/49 sin(37/24 - 3 t) + 4166/31 sin(t + 40/29) + 709/32 sin(2 t + 41/19) + 33/8 sin(5 t + 44/31) + 129/31 sin(7 t + 83/22) + 96/43 sin(10 t + 73/26) + 21/8 sin(12 t + 169/37) + 127/32 sin(14 t + 19/21) + 106/29 sin(16 t + 13/19) + 39/23 sin(18 t + 1/6) + 51/103 sin(19 t + 4/3) + 28/31 sin(21 t + 11/12) + 69/32 sin(23 t + 425/91) - 3100/19) θ(7 π - t) θ(t - 3 π) + (-31/32 sin(7/38 - 30 t) - 10/13 sin(7/13 - 29 t) - 97/31 sin(1/9 - 23 t) - 83/36 sin(13/28 - 13 t) - 611/25 sin(19/26 - 8 t) - 676/35 sin(61/76 - 6 t) + 12548/35 sin(t + 277/66) + 491/36 sin(2 t + 127/39) + 790/17 sin(3 t + 71/29) + 941/34 sin(4 t + 109/26) + 605/16 sin(5 t + 67/40) + 307/20 sin(7 t + 124/29) + 88/9 sin(9 t + 34/57) + 213/35 sin(10 t + 5/31) + 85/8 sin(11 t + 76/25) + 271/35 sin(12 t + 43/30) + 51/32 sin(14 t + 68/41) + 131/56 sin(15 t + 26/25) + 19/30 sin(16 t + 39/37) + 200/133 sin(17 t + 54/13) + 156/89 sin(18 t + 6/19) + 145/38 sin(19 t + 34/11) + 78/35 sin(20 t + 31/94) + 15/13 sin(21 t + 128/127) + 119/38 sin(22 t + 23/14) + 13/11 sin(24 t + 13/9) + 69/59 sin(25 t + 163/38) + 34/35 sin(26 t + 71/35) + 6/31 sin(27 t + 193/55) + 13/19 sin(28 t + 107/37) + 3/13 sin(31 t + 4/37) + 14/19 sin(32 t + 16/29) - 5275/32) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-57/22 sin(35/23 - 13 t) - 149/14 sin(25/16 - 7 t) - 102/25 sin(23/15 - 4 t) - 337/22 sin(31/20 - 3 t) + 523/17 sin(t + 49/31) + 705/32 sin(2 t + 68/43) + 224/39 sin(5 t + 49/30) + 627/28 sin(6 t + 8/5) + 272/19 sin(8 t + 8/5) + 3/10 sin(9 t + 50/19) + 113/27 sin(10 t + 31/19) + 101/21 sin(11 t + 51/31) + 4/29 sin(12 t + 61/13) + 55/34 sin(14 t + 69/43) - 11927/25) θ(95 π - t) θ(t - 91 π) + (-51/52 sin(31/20 - 11 t) - 17/31 sin(263/175 - 10 t) - 335/54 sin(14/9 - 7 t) - 66/31 sin(20/13 - 6 t) - 714/43 sin(36/23 - 3 t) + 787/45 sin(t + 11/7) + 3745/58 sin(2 t + 52/33) + 38/9 sin(4 t + 47/30) + 37/34 sin(5 t + 28/17) + 157/36 sin(8 t + 62/39) + 177/106 sin(9 t + 117/73) + 61/26 sin(12 t + 51/32) + 14/33 sin(13 t + 77/47) + 44/45 sin(14 t + 19/12) + 25/37 sin(15 t + 38/23) - 46892/85) θ(91 π - t) θ(t - 87 π) + (2063/40 sin(t + 113/24) + 698/13 sin(2 t + 80/17) + 566/19 sin(3 t + 174/37) + 1175/81 sin(4 t + 19/12) + 152/11 sin(5 t + 80/17) + 49/59 sin(6 t + 62/37) + 137/24 sin(7 t + 80/17) + 71/16 sin(8 t + 30/19) + 55/17 sin(9 t + 80/17) + 96/25 sin(10 t + 221/47) + 10/51 sin(11 t + 221/48) + 83/45 sin(12 t + 43/27) - 12779/19) θ(87 π - t) θ(t - 83 π) + (-7/19 sin(39/25 - 13 t) - 37/19 sin(81/52 - 11 t) - 849/26 sin(11/7 - t) + 4851/136 sin(2 t + 52/33) + 164/19 sin(3 t + 113/24) + 406/41 sin(4 t + 46/29) + 207/50 sin(5 t + 53/33) + 94/11 sin(6 t + 35/22) + 19/15 sin(7 t + 73/44) + 52/17 sin(8 t + 53/33) + 25/22 sin(9 t + 44/27) + 36/25 sin(10 t + 27/17) + 1/19 sin(12 t + 37/31) - 18579/29) θ(83 π - t) θ(t - 79 π) + (-21/38 sin(65/42 - 14 t) - 172/33 sin(59/40 - 7 t) - 25/2 sin(25/16 - 6 t) + 139/29 sin(t + 85/54) + 292/19 sin(2 t + 46/29) + 167/20 sin(3 t + 23/14) + 1518/19 sin(4 t + 96/61) + 447/29 sin(5 t + 136/29) + 637/47 sin(8 t + 212/45) + 201/49 sin(9 t + 3/2) + 3/38 sin(10 t + 28/25) + 94/25 sin(11 t + 47/10) + 11/7 sin(12 t + 47/32) + 29/25 sin(13 t + 75/16) + 37/49 sin(15 t + 41/28) - 13186/39) θ(79 π - t) θ(t - 75 π) + (-71/29 sin(91/58 - 5 t) - 8/21 sin(55/36 - 4 t) - 139/25 sin(61/39 - 3 t) - 467/117 sin(36/23 - 2 t) - 2030/39 sin(80/51 - t) - 24073/31) θ(75 π - t) θ(t - 71 π) + (-1432/31 sin(102/65 - t) + 921/31 sin(2 t + 11/7) + 149/22 sin(3 t + 36/23) + 8/23 sin(4 t + 159/34) + 149/26 sin(5 t + 113/24) + 34/25 sin(6 t + 41/26) + 18/35 sin(7 t + 29/19) + 49/34 sin(8 t + 39/25) + 73/61 sin(9 t + 174/37) + 29/31 sin(10 t + 146/31) + 5/21 sin(11 t + 215/46) + 8/11 sin(12 t + 67/43) + 2/33 sin(13 t + 45/32) - 10166/29) θ(71 π - t) θ(t - 67 π) + (4184/93 sin(t + 11/7) + 21/10 sin(2 t + 174/37) + 167/38 sin(3 t + 41/26) + 1/27 sin(4 t + 143/32) + 37/24 sin(5 t + 41/26) + 1/6 sin(6 t + 341/73) + 35/53 sin(7 t + 30/19) + 3/38 sin(8 t + 201/44) + 21/46 sin(9 t + 46/29) - 5921/9) θ(67 π - t) θ(t - 63 π) + (-1/49 sin(62/41 - 11 t) - 11/20 sin(25/16 - 5 t) - 27/10 sin(39/25 - 3 t) - 961/103 sin(47/30 - t) + 385/17 sin(2 t + 11/7) + 88/37 sin(4 t + 63/40) + 37/23 sin(6 t + 11/7) + 3/26 sin(7 t + 31/21) + 16/15 sin(8 t + 47/30) + 2/15 sin(9 t + 75/16) + 18/31 sin(10 t + 64/41) + 1/2 sin(12 t + 39/25) - 14424/25) θ(63 π - t) θ(t - 59 π) + (-27/35 sin(35/23 - 9 t) - 133/53 sin(36/23 - 5 t) - 224/31 sin(45/29 - 3 t) - 1531/22 sin(47/30 - t) + 65/34 sin(2 t + 57/37) + 21/83 sin(4 t + 29/22) + 6/19 sin(6 t + 61/39) + 29/25 sin(7 t + 113/24) + 4/23 sin(8 t + 43/31) - 2565/13) θ(59 π - t) θ(t - 55 π) + (-2/29 sin(29/20 - 12 t) - 13/30 sin(48/31 - 11 t) - 5/28 sin(56/37 - 10 t) - 13/24 sin(67/43 - 9 t) - 4/13 sin(274/183 - 8 t) - 27/32 sin(81/52 - 7 t) - 7/31 sin(3/2 - 6 t) - 68/29 sin(45/29 - 5 t) - 23/61 sin(152/101 - 4 t) - 215/41 sin(58/37 - 3 t) - 90/23 sin(39/25 - 2 t) - 589/10 sin(58/37 - t) - 5341/25) θ(55 π - t) θ(t - 51 π) + (-27/40 sin(31/20 - 9 t) - 25/19 sin(73/47 - 7 t) - 1940/21 sin(58/37 - t) + 637/59 sin(2 t + 52/33) + 213/35 sin(3 t + 113/24) + 124/35 sin(4 t + 53/34) + 111/41 sin(5 t + 212/45) + 29/32 sin(6 t + 52/33) + 31/28 sin(8 t + 67/42) + 1/3 sin(10 t + 23/15) + 11/13 sin(11 t + 221/47) - 4017/7) θ(51 π - t) θ(t - 47 π) + (-34/61 sin(11/7 - 2 t) + 188/19 sin(t + 11/7) + 347/348 sin(3 t + 58/37) - 2209/23) θ(47 π - t) θ(t - 43 π) + (3382/35 sin(t + 11/7) + 157/13 sin(2 t + 102/65) + 1335/167 sin(3 t + 63/40) + 94/45 sin(4 t + 146/31) - 14326/21) θ(43 π - t) θ(t - 39 π) + (253/26 sin(t + 164/35) + 47/25 sin(2 t + 247/53) + 51/35 sin(3 t + 76/51) + 27/29 sin(4 t + 47/32) - 1543/41) θ(39 π - t) θ(t - 35 π) + (367/54 sin(t + 177/38) + 37/32 sin(2 t + 135/29) + 71/46 sin(3 t + 56/39) + 28/29 sin(4 t + 78/17) + 28/25 sin(5 t + 145/33) - 1041/25) θ(35 π - t) θ(t - 31 π) + (45/29 sin(t + 73/45) + 2166/71 sin(2 t + 45/28) + 30/29 sin(3 t + 80/17) + 145/28 sin(4 t + 34/21) + 23/47 sin(5 t + 62/33) + 42/19 sin(6 t + 34/21) + 5/29 sin(7 t + 107/31) + 25/19 sin(8 t + 35/22) + 1/5 sin(9 t + 151/40) - 1240/17) θ(31 π - t) θ(t - 27 π) + (-33/25 sin(74/53 - 2 t) + 17/19 sin(t + 55/19) - 815/19) θ(27 π - t) θ(t - 23 π) + (35/22 sin(t + 166/37) + 7/8 sin(2 t + 1263/316) - 1993/45) θ(23 π - t) θ(t - 19 π) + (-53/17 sin(23/18 - 3 t) + 147/40 sin(t + 50/41) + 1085/24 sin(2 t + 19/12) + 73/18 sin(4 t + 45/29) + 23/39 sin(5 t + 49/41) + 175/31 sin(6 t + 17/10) + 13/40 sin(7 t + 182/41) - 1608/11) θ(19 π - t) θ(t - 15 π) + (-9/14 sin(3/5 - 8 t) - 33/26 sin(1/37 - 6 t) + 1683/841 sin(t + 75/37) + 44/23 sin(2 t + 302/101) + 153/25 sin(3 t + 41/28) + 117/34 sin(4 t + 17/23) + 52/25 sin(5 t + 77/25) + 14/11 sin(7 t + 57/20) - 10191/20) θ(15 π - t) θ(t - 11 π) + (-66/67 sin(7/31 - 5 t) - 29/13 sin(22/21 - 3 t) + 213/34 sin(t + 7/13) + 349/22 sin(2 t + 181/60) + 25/23 sin(4 t + 28/19) + 48/23 sin(6 t + 61/26) + 26/33 sin(7 t + 29/39) + 23/58 sin(8 t + 43/19) + 15/46 sin(9 t + 7/25) + 25/32 sin(10 t + 25/14) + 17/26 sin(11 t + 24/41) + 7/33 sin(12 t + 105/38) + 4/23 sin(13 t + 2/13) - 3939/31) θ(11 π - t) θ(t - 7 π) + (-31/32 sin(9/11 - 22 t) - 247/103 sin(15/32 - 17 t) - 93/43 sin(9/53 - 15 t) - 937/312 sin(38/25 - 11 t) + 959/40 sin(t + 96/29) + 1588/21 sin(2 t + 153/38) + 151/10 sin(3 t + 10/21) + 214/21 sin(4 t + 28/19) + 74/11 sin(5 t + 29/31) + 95/16 sin(6 t + 109/34) + 2672/297 sin(7 t + 34/31) + 147/17 sin(8 t + 13/3) + 71/21 sin(9 t + 64/21) + 20/31 sin(10 t + 75/19) + 33/31 sin(12 t + 96/25) + 34/35 sin(13 t + 33/10) + 56/23 sin(14 t + 17/43) + 14/25 sin(16 t + 59/29) + 34/31 sin(18 t + 24/7) + 3/23 sin(19 t + 47/25) + 17/25 sin(20 t + 61/18) + 49/29 sin(21 t + 237/89) + 24/25 sin(23 t + 89/23) + 274/35) θ(7 π - t) θ(t - 3 π) + (-25/36 sin(15/19 - 31 t) - 7/13 sin(21/19 - 28 t) - 9/16 sin(1/31 - 27 t) - 59/39 sin(51/38 - 24 t) - 59/26 sin(50/43 - 23 t) - 105/37 sin(17/42 - 20 t) - 74/29 sin(3/2 - 16 t) - 13/12 sin(7/11 - 15 t) - 248/41 sin(23/26 - 14 t) - 28/13 sin(3/14 - 10 t) - 281/12 sin(20/41 - 6 t) + 3500/9 sin(t + 61/23) + 2360/13 sin(2 t + 82/21) + 281/18 sin(3 t + 139/54) + 1074/59 sin(4 t + 118/35) + 4441/52 sin(5 t + 26/27) + 1047/38 sin(7 t + 197/59) + 367/45 sin(8 t + 116/27) + 193/37 sin(9 t + 20/7) + 227/40 sin(11 t + 98/25) + 170/41 sin(12 t + 142/61) + 137/31 sin(13 t + 52/51) + 63/32 sin(17 t + 113/30) + 20/13 sin(18 t + 18/29) + 7/26 sin(19 t + 48/35) + 39/43 sin(21 t + 89/34) + 41/26 sin(22 t + 33/20) + 15/16 sin(25 t + 101/41) + 8/21 sin(26 t + 109/40) + 34/35 sin(29 t + 76/27) + 3/8 sin(30 t + 65/64) + 26/35 sin(32 t + 29/19) - 6855/13) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

中国

毛沢東

x(t) = ((-10/47 sin(30/41 - 17 t) - 11/4 sin(83/58 - 15 t) - 47/17 sin(79/53 - 13 t) + 21080/33 sin(t + 63/40) + 179/32 sin(2 t + 28/17) + 263/25 sin(3 t + 85/54) + 1552/47 sin(4 t + 146/31) + 2015/77 sin(5 t + 30/19) + 286/31 sin(6 t + 117/25) + 1308/17 sin(7 t + 67/42) + 158/37 sin(8 t + 77/17) + 1017/26 sin(9 t + 61/38) + 107/18 sin(10 t + 79/46) + 863/39 sin(11 t + 29/18) + 74/23 sin(12 t + 12/7) + 110/63 sin(14 t + 163/35) + 29/31 sin(16 t + 75/41) + 2/7 sin(18 t + 64/25) + 305/37 sin(19 t + 18/11) + 9/34 sin(20 t + 91/32) + 316/45 sin(21 t + 64/39) + 16/15 sin(22 t + 119/27) + 179/35 sin(23 t + 23/14) + 38/51 sin(24 t + 131/65) + 1969/19) θ(103 π - t) θ(t - 99 π) + (-44/31 sin(81/52 - 6 t) - 47/19 sin(14/9 - 5 t) - 206/75 sin(39/25 - 4 t) - 77/16 sin(69/44 - 3 t) - 416/25 sin(25/16 - 2 t) - 1496/19 sin(47/30 - t) - 3315/19) θ(99 π - t) θ(t - 95 π) + (732/7 sin(t + 41/26) + 111/17 sin(2 t + 18/11) + 187/20 sin(3 t + 43/27) + 37/24 sin(4 t + 44/27) + 157/45 sin(5 t + 59/37) + 5507/30) θ(95 π - t) θ(t - 91 π) + (-19/42 sin(37/24 - 2 t) + 3067/18 sin(t + 11/7) + 281/16 sin(3 t + 96/61) + 13/27 sin(4 t + 159/34) + 215/38 sin(5 t + 30/19) + 1121/34) θ(91 π - t) θ(t - 87 π) + (-1/20 sin(17/14 - 16 t) + 3995/36 sin(t + 11/7) + 353/25 sin(2 t + 69/44) + 209/18 sin(3 t + 11/7) + 349/66 sin(4 t + 49/31) + 67/17 sin(5 t + 43/27) + 84/43 sin(6 t + 60/37) + 79/30 sin(7 t + 149/93) + 93/38 sin(8 t + 30/19) + 37/22 sin(9 t + 74/47) + 91/57 sin(10 t + 68/43) + 43/29 sin(11 t + 43/27) + 42/23 sin(12 t + 45/28) + 28/31 sin(13 t + 77/47) + 17/36 sin(14 t + 41/25) + 17/86 sin(15 t + 8/5) + 12/29 sin(17 t + 65/42) + 11/31 sin(18 t + 49/31) + 31/47 sin(19 t + 45/28) + 13/31 sin(20 t + 33/20) + 5/43 sin(21 t + 168/37) + 9/46 sin(22 t + 109/68) + 26/29 sin(23 t + 41/26) + 31/47 sin(24 t + 43/27) + 5/21 sin(25 t + 50/31) + 2855/14) θ(87 π - t) θ(t - 83 π) + (-5/33 sin(32/21 - 24 t) - 16/17 sin(20/13 - 23 t) - 64/39 sin(80/51 - 17 t) - 1/28 sin(14/9 - 15 t) + 3240/31 sin(t + 11/7) + 341/25 sin(2 t + 52/33) + 888/71 sin(3 t + 63/40) + 286/191 sin(4 t + 31/19) + 170/29 sin(5 t + 68/43) + 18/29 sin(6 t + 80/17) + 67/23 sin(7 t + 91/58) + 2/33 sin(8 t + 36/31) + 19/36 sin(9 t + 51/32) + 23/28 sin(10 t + 21/13) + 39/34 sin(11 t + 65/41) + 3/26 sin(12 t + 39/20) + 47/43 sin(13 t + 37/23) + 1/117 sin(14 t + 825/206) + 58/35 sin(16 t + 47/30) + 34/19 sin(18 t + 62/39) + 27/29 sin(19 t + 127/27) + 3/28 sin(20 t + 245/52) + 54/37 sin(21 t + 53/33) + 23/31 sin(22 t + 21/13) - 6998/27) θ(83 π - t) θ(t - 79 π) + (2069/16 sin(t + 11/7) + 82/21 sin(2 t + 14/3) + 443/29 sin(3 t + 19/12) + 79/30 sin(4 t + 30/19) + 148/29 sin(5 t + 19/12) + 27/25 sin(6 t + 33/20) + 73/31 sin(7 t + 27/17) + 8893/37) θ(79 π - t) θ(t - 75 π) + (-11/32 sin(31/22 - 2 t) + 4451/49 sin(t + 11/7) + 515/68 sin(3 t + 102/65) + 1/20 sin(4 t + 9/13) + 79/30 sin(5 t + 47/30) + 17/37 sin(6 t + 11/7) + 47/30 sin(7 t + 107/68) - 10305/46) θ(75 π - t) θ(t - 71 π) + (-5/24 sin(74/59 - 26 t) - 22/25 sin(16/11 - 23 t) - 5/29 sin(29/25 - 20 t) - 62/41 sin(46/31 - 17 t) - 48/25 sin(20/13 - 15 t) - 113/24 sin(38/25 - 12 t) - 231/40 sin(39/25 - 9 t) - 89/39 sin(47/32 - 7 t) - 104/19 sin(48/31 - 5 t) - 182/15 sin(37/24 - 4 t) - 140/19 sin(31/20 - 2 t) + 3287/23 sin(t + 107/68) + 564/23 sin(3 t + 113/24) + 8/3 sin(6 t + 13/8) + 241/30 sin(8 t + 37/23) + 71/30 sin(10 t + 14/9) + 17/12 sin(11 t + 44/27) + 16/25 sin(13 t + 67/39) + 10/11 sin(14 t + 81/52) + 3 sin(16 t + 21/13) + 17/14 sin(18 t + 127/27) + 56/39 sin(19 t + 117/73) + 41/44 sin(21 t + 159/34) + 54/65 sin(22 t + 27/17) + 17/35 sin(24 t + 159/34) + 5/27 sin(25 t + 44/29) - 17/10) θ(71 π - t) θ(t - 67 π) + (1987/31 sin(t + 11/7) + 305/28 sin(2 t + 80/17) + 751/28 sin(3 t + 11/7) + 191/30 sin(4 t + 30/19) + 313/33 sin(5 t + 63/40) + 122/73 sin(6 t + 127/27) + 113/34 sin(7 t + 41/26) + 23/30 sin(8 t + 11/7) + 73/27 sin(9 t + 68/43) + 3943/17) θ(67 π - t) θ(t - 63 π) + (1593/29 sin(t + 179/38) + 191/29 sin(2 t + 127/27) + 678/97 sin(3 t + 113/24) + 44/19 sin(4 t + 169/36) + 63/34 sin(5 t + 108/23) + 17/16 sin(6 t + 75/16) - 6319/33) θ(63 π - t) θ(t - 59 π) + (-9/29 sin(32/51 - 88 t) - 39/29 sin(64/41 - 85 t) - 19/27 sin(114/115 - 26 t) - 30/43 sin(45/31 - 21 t) - 14/11 sin(42/29 - 15 t) - 13/38 sin(20/33 - 9 t) + 15919/28 sin(t + 39/25) + 5859/34 sin(2 t + 61/13) + 1289/20 sin(3 t + 229/49) + 899/26 sin(4 t + 26/17) + 315/16 sin(5 t + 145/31) + 707/104 sin(6 t + 26/17) + 71/20 sin(7 t + 3/2) + 142/17 sin(8 t + 188/41) + 182/31 sin(10 t + 28/19) + 69/43 sin(11 t + 356/79) + 84/19 sin(12 t + 55/39) + 376/51 sin(13 t + 87/62) + 89/13 sin(14 t + 67/46) + 152/27 sin(16 t + 69/47) + 73/20 sin(17 t + 57/43) + 13/9 sin(18 t + 3/2) + 5/34 sin(19 t + 70/41) + 19/9 sin(20 t + 47/36) + 143/43 sin(22 t + 43/33) + 191/30 sin(23 t + 31/24) + 107/23 sin(24 t + 35/27) + 78/25 sin(25 t + 32/25) + 139/33 sin(27 t + 43/33) + 155/37 sin(28 t + 43/33) + 375/47 sin(29 t + 141/106) + 16/25 sin(30 t + 145/38) + 265/18 sin(31 t + 232/53) + 849/29 sin(32 t + 61/14) + 451/18 sin(33 t + 204/47) + 18/13 sin(34 t + 327/77) + 453/19 sin(35 t + 6/5) + 821/39 sin(36 t + 43/37) + 371/48 sin(37 t + 37/32) + 139/29 sin(38 t + 107/25) + 67/12 sin(39 t + 343/78) + 1033/100 sin(40 t + 38/33) + 435/59 sin(41 t + 46/45) + 327/43 sin(42 t + 37/32) + 264/53 sin(43 t + 55/13) + 19/35 sin(44 t + 51/77) + 771/71 sin(45 t + 35/32) + 85/24 sin(46 t + 11/12) + 30/23 sin(47 t + 67/40) + 139/22 sin(48 t + 109/26) + 170/41 sin(49 t + 46/41) + 195/32 sin(50 t + 46/51) + 154/71 sin(51 t + 41/34) + 63/17 sin(52 t + 54/13) + 42/25 sin(53 t + 91/24) + 185/77 sin(54 t + 17/30) + 773/103 sin(55 t + 16/15) + 68/11 sin(56 t + 73/17) + 113/24 sin(57 t + 48/35) + 351/53 sin(58 t + 92/21) + 643/60 sin(59 t + 65/59) + 153/23 sin(60 t + 193/45) + 62/25 sin(61 t + 66/47) + 37/33 sin(62 t + 31/8) + 79/20 sin(63 t + 153/35) + 213/25 sin(64 t + 25/23) + 721/68 sin(65 t + 59/14) + 237/28 sin(66 t + 33/29) + 20/7 sin(67 t + 131/28) + 242/41 sin(68 t + 31/32) + 57/86 sin(69 t + 1/21) + 86/21 sin(70 t + 147/38) + 203/102 sin(71 t + 12/17) + 159/47 sin(72 t + 29/35) + 23/16 sin(73 t + 400/87) + 28/25 sin(74 t + 87/34) + 377/113 sin(75 t + 177/43) + 173/61 sin(76 t + 29/31) + 25/21 sin(77 t + 7/17) + 69/19 sin(78 t + 94/25) + 34/33 sin(79 t + 19/5) + 9/28 sin(80 t + 199/83) + 140/93 sin(81 t + 178/39) + 339/127 sin(82 t + 61/48) + 107/20 sin(83 t + 125/31) + 81/20 sin(84 t + 29/32) + 27/26 sin(86 t + 47/14) + 9/25 sin(87 t + 15/19) + 149/75 sin(89 t + 45/89) + 29/21 sin(90 t + 151/44) + 75/26 sin(91 t + 251/66) + 50/21 sin(92 t + 23/32) + 62/55 sin(93 t + 8/63) + 23/11 sin(94 t + 55/16) + 51/26 sin(95 t + 257/72) + 38/25 sin(96 t + 227/57) + 314/209 sin(97 t + 15/37) + 11/9 sin(98 t + 416/119) + 11584/59) θ(59 π - t) θ(t - 55 π) + (-43/31 sin(53/34 - 18 t) - 58/35 sin(61/39 - 17 t) - 55/19 sin(36/23 - 16 t) - 155/59 sin(61/39 - 15 t) - 45/19 sin(41/27 - 9 t) - 46/13 sin(95/61 - 8 t) - 360/23 sin(58/37 - 7 t) - 77/15 sin(53/34 - 4 t) + 27845/41 sin(t + 91/58) + 259/26 sin(2 t + 212/45) + 7843/86 sin(3 t + 146/31) + 2557/50 sin(5 t + 146/31) + 3931/786 sin(6 t + 271/58) + 31/23 sin(10 t + 174/37) + 79/24 sin(11 t + 75/16) + 86/47 sin(12 t + 135/29) + 97/24 sin(13 t + 174/37) + 76/29 sin(14 t + 136/29) + 30867/253) θ(55 π - t) θ(t - 51 π) + (-5/31 sin(1/3 - 12 t) - 23/52 sin(119/99 - 11 t) - 166/33 sin(17/12 - 4 t) - 196/41 sin(123/88 - 3 t) + 327/34 sin(t + 155/58) + 297/40 sin(2 t + 35/17) + 35/44 sin(5 t + 142/61) + 3/5 sin(6 t + 5/19) + 11/19 sin(7 t + 19/25) + 23/58 sin(8 t + 67/31) + 12/31 sin(9 t + 62/45) + 5/12 sin(10 t + 57/32) + 27/13) θ(51 π - t) θ(t - 47 π) + (2957/51 sin(t + 7/22) + 296/41) θ(47 π - t) θ(t - 43 π) + (-1/2 sin(46/37 - 12 t) - 233/35 sin(58/41 - 6 t) - 491/47 sin(12/13 - 4 t) - 227/12 sin(26/29 - 2 t) + 7589/21 sin(t + 23/18) + 825/43 sin(3 t + 19/24) + 103/39 sin(5 t + 7/12) + 29/37 sin(7 t + 43/14) + 69/20 sin(8 t + 130/31) + 17/14 sin(9 t + 137/56) + 16/25 sin(10 t + 129/37) + 28/41 sin(11 t + 71/29) + 18979/130) θ(43 π - t) θ(t - 39 π) + (-13/48 sin(31/24 - 7 t) - 7/24 sin(29/25 - 6 t) - 35/18 sin(59/69 - 2 t) + 127/34 sin(t + 7/55) + 107/42 sin(3 t + 94/21) + 319/62 sin(4 t + 569/122) + 59/28 sin(5 t + 22/13) + 1/16 sin(8 t + 139/37) + 6/23 sin(9 t + 4/27) + 5/19 sin(10 t + 119/41) + 3/25 sin(11 t + 44/19) + 3/17 sin(12 t + 338/89) - 1419/7) θ(39 π - t) θ(t - 35 π) + (-15/104 sin(31/38 - 10 t) - 8/27 sin(26/29 - 8 t) - 66/35 sin(4/23 - 4 t) - 102/47 sin(41/36 - t) + 133/46 sin(2 t + 31/13) + 219/28 sin(3 t + 93/35) + 31/28 sin(5 t + 182/67) + 20/23 sin(6 t + 5/38) + 39/77 sin(7 t + 119/53) + 6/17 sin(9 t + 95/28) + 3/11 sin(11 t + 73/24) + 1/15 sin(12 t + 26/29) + 9908/49) θ(35 π - t) θ(t - 31 π) + (-17/36 sin(29/32 - 3 t) - 73/122 sin(53/38 - 2 t) + 537/20 sin(t + 5/4) + 7/32 sin(4 t + 184/41) + 13/31 sin(5 t + 21/5) + 3/43 sin(6 t + 9/22) + 4507/22) θ(31 π - t) θ(t - 27 π) + (-15/32 sin(40/31 - 6 t) - 2/9 sin(2/7 - 5 t) - 14/17 sin(73/55 - 4 t) - 43/28 sin(50/37 - 2 t) + 727/27 sin(t + 20/17) + 17/15 sin(3 t + 4/35) - 1416/7) θ(27 π - t) θ(t - 23 π) + (-17/39 sin(35/33 - 16 t) - 15/13 sin(5/8 - 14 t) - 115/67 sin(52/35 - 10 t) - 115/37 sin(11/45 - 7 t) - 136/43 sin(26/25 - 6 t) - 703/43 sin(41/28 - 4 t) - 506/35 sin(1/114 - 3 t) - 1405/34 sin(34/29 - 2 t) + 413/48 sin(t + 149/39) + 241/32 sin(5 t + 55/46) + 195/44 sin(8 t + 298/85) + 73/27 sin(9 t + 79/33) + 59/28 sin(11 t + 132/35) + 13/22 sin(12 t + 202/47) + 11/20 sin(13 t + 55/21) + 99/74 sin(15 t + 125/28) + 5740/9) θ(23 π - t) θ(t - 19 π) + (-23/26 sin(11/54 - 8 t) - 112/29 sin(9/23 - 5 t) + 137/33 sin(t + 68/45) + 33/19 sin(2 t + 234/55) + 604/57 sin(3 t + 325/324) + 541/47 sin(4 t + 47/27) + 36/19 sin(6 t + 143/35) + 37/28 sin(7 t + 7/4) + 26/33 sin(9 t + 57/20) + 24/49 sin(10 t + 15/32) + 1/8 sin(11 t + 69/16) + 17/42 sin(12 t + 21/22) + 901/40) θ(19 π - t) θ(t - 15 π) + (4831/29 sin(t + 46/29) + 100/53 sin(2 t + 38/29) + 471/28 sin(3 t + 49/29) + 71/31 sin(4 t + 95/31) + 212/33 sin(5 t + 38/25) + 35/39 sin(6 t + 164/55) + 1163/291 sin(7 t + 65/38) + 14/23 sin(8 t + 73/18) + 467/36) θ(15 π - t) θ(t - 11 π) + (-1/2 sin(4/25 - 8 t) - 17/23 sin(1/20 - 6 t) - 46/29 sin(1/12 - 4 t) - 29/15 sin(36/37 - 2 t) + 3308/37 sin(t + 28/19) + 576/67 sin(3 t + 46/37) + 87/25 sin(5 t + 23/21) + 78/47 sin(7 t + 22/21) + 3643/17) θ(11 π - t) θ(t - 7 π) + (-41/20 sin(12/11 - 5 t) + 9878/119 sin(t + 76/33) + 71/22 sin(2 t + 133/29) + 267/31 sin(3 t + 76/21) + 55/32 sin(4 t + 3/31) + 89/88 sin(6 t + 23/24) + 40/53 sin(7 t + 3/25) + 44/87 sin(8 t + 34/11) + 6/13 sin(9 t + 40/27) - 7131/31) θ(7 π - t) θ(t - 3 π) + (-24/31 sin(16/17 - 16 t) - 149/41 sin(50/37 - 9 t) - 133/52 sin(23/32 - 8 t) - 303/32 sin(1/734 - 7 t) + 10523/20 sin(t + 32/23) + 431/20 sin(2 t + 31/10) + 1144/27 sin(3 t + 139/36) + 456/47 sin(4 t + 81/34) + 390/47 sin(5 t + 146/81) + 158/33 sin(6 t + 14/27) + 41/35 sin(10 t + 43/20) + 29/19 sin(11 t + 82/33) + 64/41 sin(12 t + 42/31) + 67/43 sin(13 t + 47/43) + 16/35 sin(14 t + 41/20) + 49/73 sin(15 t + 59/88) + 2388/37) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-407/57 sin(35/24 - 24 t) - 42/31 sin(41/28 - 23 t) - 49/16 sin(67/46 - 22 t) - 26/37 sin(38/31 - 21 t) - 76/35 sin(59/39 - 20 t) - 310/73 sin(43/28 - 18 t) - 11 sin(44/29 - 13 t) - 580/41 sin(32/21 - 10 t) - 3258/65 sin(63/41 - 9 t) - 252/17 sin(56/37 - 8 t) - 6254/51 sin(17/11 - 6 t) - 1481/27 sin(71/46 - 5 t) - 465/32 sin(73/47 - 3 t) + 3651/50 sin(t + 30/19) + 8318/27 sin(2 t + 30/19) + 134/21 sin(4 t + 127/27) + 807/19 sin(7 t + 19/12) + 252/11 sin(11 t + 155/97) + 139/32 sin(12 t + 49/30) + 417/38 sin(14 t + 51/31) + 149/38 sin(15 t + 117/70) + 173/24 sin(16 t + 13/8) + 16/7 sin(17 t + 12/7) + 62/43 sin(19 t + 87/56) - 18494/25) θ(103 π - t) θ(t - 99 π) + (-80/29 sin(47/30 - 5 t) - 177/25 sin(113/72 - 3 t) - 1901/33 sin(47/30 - t) + 599/31 sin(2 t + 52/33) + 77/41 sin(4 t + 14/9) + 11/9 sin(6 t + 61/39) + 2609/12) θ(99 π - t) θ(t - 95 π) + (-1566/241 sin(58/37 - 3 t) - 1857/50 sin(47/30 - t) + 464/31 sin(2 t + 11/7) + 59/24 sin(4 t + 11/7) + 20/17 sin(5 t + 136/29) + 7997/31) θ(95 π - t) θ(t - 91 π) + (-15/29 sin(67/43 - 5 t) - 129/25 sin(36/23 - 4 t) - 148/61 sin(36/23 - 3 t) - 103/33 sin(69/44 - 2 t) - 29/17 sin(80/51 - t) - 4753/32) θ(91 π - t) θ(t - 87 π) + (-24/19 sin(32/21 - 25 t) - 229/98 sin(48/31 - 22 t) - 83/31 sin(54/35 - 19 t) - 37/9 sin(31/20 - 17 t) - 46/19 sin(36/23 - 14 t) - 71/23 sin(25/16 - 12 t) - 29/19 sin(57/37 - 10 t) - 49/15 sin(25/16 - 7 t) - 396/113 sin(14/9 - 5 t) - 181/36 sin(36/23 - 4 t) - 176/25 sin(47/30 - 3 t) - 1055/57 sin(80/51 - 2 t) - 353/21 sin(113/72 - t) + 17/43 sin(6 t + 63/40) + 1/36 sin(8 t + 1/22) + 9/34 sin(9 t + 50/33) + 113/38 sin(11 t + 47/30) + 5/8 sin(13 t + 27/17) + 45/38 sin(15 t + 174/37) + 11/8 sin(16 t + 61/39) + 188/31 sin(18 t + 19/12) + 16/27 sin(20 t + 61/13) + 5/17 sin(21 t + 23/13) + 39/22 sin(23 t + 68/43) + 12/13 sin(24 t + 25/16) + 12966/29) θ(87 π - t) θ(t - 83 π) + (-101/25 sin(23/15 - 23 t) - 223/46 sin(25/16 - 19 t) - 603/116 sin(80/51 - 17 t) - 45/58 sin(14/9 - 15 t) - 77/41 sin(65/42 - 11 t) - 1/36 sin(59/98 - 10 t) - 108/25 sin(47/30 - 9 t) - 110/41 sin(39/25 - 7 t) - 2479/826 sin(14/9 - 6 t) - 166/33 sin(69/44 - 4 t) - 266/23 sin(69/44 - t) + 62/33 sin(2 t + 146/31) + 1/7 sin(3 t + 38/27) + 1/64 sin(5 t + 6/35) + 27/23 sin(8 t + 37/24) + 49/40 sin(12 t + 179/38) + 39/11 sin(13 t + 65/41) + 53/71 sin(14 t + 80/17) + 255/98 sin(16 t + 36/23) + 110/17 sin(18 t + 49/31) + 8/33 sin(20 t + 31/22) + 38/11 sin(21 t + 50/31) + 35/32 sin(22 t + 47/29) + 11/23 sin(24 t + 69/44) + 52347/113) θ(83 π - t) θ(t - 79 π) + (-128/59 sin(36/23 - 6 t) - 75/29 sin(36/23 - 4 t) - 853/40 sin(47/30 - 2 t) - 1601/43 sin(102/65 - t) + 139/25 sin(3 t + 39/25) + 99/38 sin(5 t + 19/12) + 32/19 sin(7 t + 81/52) + 10547/30) θ(79 π - t) θ(t - 75 π) + (-1/19 sin(57/37 - 7 t) + 129/38 sin(t + 41/26) + 952/47 sin(2 t + 212/45) + 23/12 sin(3 t + 169/36) + 77/19 sin(4 t + 146/31) + 27/40 sin(5 t + 35/22) + 61/36 sin(6 t + 146/31) + 23311/66) θ(75 π - t) θ(t - 71 π) + (-217/87 sin(49/32 - 8 t) + 4673/114 sin(t + 52/33) + 1582/25 sin(2 t + 30/19) + 271/26 sin(3 t + 65/41) + 1036/29 sin(4 t + 65/41) + 151/43 sin(5 t + 221/47) + 240/19 sin(6 t + 30/19) + 277/31 sin(7 t + 179/38) + 346/35 sin(9 t + 77/48) + 136/23 sin(10 t + 52/33) + 41/13 sin(11 t + 75/16) + 29/23 sin(12 t + 64/39) + 23/35 sin(13 t + 29/21) + 5/27 sin(14 t + 79/23) + 12/31 sin(15 t + 59/38) + 41/16 sin(16 t + 50/31) + 17/30 sin(17 t + 52/29) + 5/17 sin(18 t + 67/43) + 23/25 sin(19 t + 127/27) + 43/38 sin(20 t + 29/18) + 11/17 sin(21 t + 96/59) + 23/45 sin(22 t + 50/31) + 13/44 sin(23 t + 49/11) + 20/33 sin(24 t + 56/37) + 1/12 sin(25 t + 127/33) + 4/27 sin(26 t + 34/19) + 3826/57) θ(71 π - t) θ(t - 67 π) + (-67/36 sin(47/30 - 9 t) - 629/118 sin(53/34 - 5 t) - 49/30 sin(58/39 - 2 t) + 7133/32 sin(t + 245/52) + 397/23 sin(3 t + 146/31) + 43/31 sin(4 t + 48/31) + 7/16 sin(6 t + 50/33) + 190/73 sin(7 t + 245/52) + 9/26 sin(8 t + 18/11) - 1822/15) θ(67 π - t) θ(t - 63 π) + (4511/50 sin(t + 179/38) + 503/126 sin(2 t + 65/41) + 53/6 sin(3 t + 179/38) + 78/47 sin(4 t + 51/32) + 282/83 sin(5 t + 80/17) + 27/47 sin(6 t + 51/32) + 613/27) θ(63 π - t) θ(t - 59 π) + (-8/9 sin(7/17 - 85 t) - 12/17 sin(13/9 - 81 t) - 22/31 sin(49/39 - 75 t) - 29/41 sin(3/8 - 73 t) - 22/19 sin(29/43 - 69 t) - 31/47 sin(39/32 - 12 t) + 353/3 sin(t + 202/43) + 4111/19 sin(2 t + 61/13) + 956/25 sin(3 t + 14/9) + 533/20 sin(4 t + 89/19) + 167/21 sin(5 t + 183/40) + 116/25 sin(6 t + 131/28) + 139/22 sin(7 t + 55/36) + 231/25 sin(8 t + 149/32) + 199/23 sin(9 t + 70/47) + 121/39 sin(10 t + 649/139) + 12/35 sin(11 t + 66/35) + 43/25 sin(13 t + 17/11) + 25/12 sin(14 t + 79/17) + 91/27 sin(15 t + 41/29) + 23/32 sin(16 t + 205/44) + 17/31 sin(17 t + 121/27) + 99/28 sin(18 t + 114/25) + 73/47 sin(19 t + 19/13) + 27/32 sin(20 t + 193/43) + 9/14 sin(21 t + 64/33) + 12/37 sin(22 t + 197/46) + 32/51 sin(23 t + 119/29) + 179/36 sin(24 t + 190/43) + 143/46 sin(25 t + 131/30) + 85/43 sin(26 t + 146/33) + 42/31 sin(27 t + 536/119) + 99/100 sin(28 t + 108/23) + 158/53 sin(29 t + 76/65) + 227/27 sin(30 t + 27/23) + 421/23 sin(31 t + 17/14) + 499/29 sin(32 t + 65/54) + 281/26 sin(33 t + 73/61) + 17/36 sin(34 t + 78/17) + 75/7 sin(35 t + 178/41) + 460/27 sin(36 t + 125/29) + 515/34 sin(37 t + 73/17) + 363/43 sin(38 t + 179/42) + 376/51 sin(39 t + 412/97) + 163/23 sin(40 t + 38/9) + 439/53 sin(41 t + 174/41) + 161/24 sin(42 t + 127/30) + 145/22 sin(43 t + 106/25) + 106/19 sin(44 t + 135/32) + 137/33 sin(45 t + 67/16) + 103/20 sin(46 t + 245/57) + 61/29 sin(47 t + 94/23) + 550/97 sin(48 t + 171/40) + 6/17 sin(49 t + 187/72) + 48/25 sin(50 t + 102/23) + 19/40 sin(51 t + 41/12) + 86/23 sin(52 t + 101/24) + 62/35 sin(53 t + 157/40) + 143/71 sin(54 t + 251/57) + 5/3 sin(55 t + 41/29) + 527/111 sin(56 t + 47/11) + 152/39 sin(57 t + 47/39) + 95/33 sin(58 t + 49/11) + 1381/345 sin(59 t + 19/18) + 167/125 sin(60 t + 57/13) + 19/31 sin(61 t + 31/27) + 37/32 sin(62 t + 35/32) + 63/94 sin(63 t + 119/26) + 16/13 sin(64 t + 74/53) + 29/6 sin(65 t + 121/29) + 57/47 sin(66 t + 47/26) + 61/27 sin(67 t + 760/169) + 241/39 sin(68 t + 149/150) + 31/12 sin(70 t + 34/29) + 49/37 sin(71 t + 60/13) + 73/37 sin(72 t + 25/24) + 25/28 sin(74 t + 49/29) + 42/23 sin(76 t + 45/37) + 69/25 sin(77 t + 98/23) + 41/27 sin(78 t + 37/24) + 29/15 sin(79 t + 131/31) + 16/11 sin(80 t + 13/12) + 29/28 sin(82 t + 94/29) + 11/21 sin(83 t + 177/38) + 32/17 sin(84 t + 43/47) + 31/28 sin(86 t + 13/7) + 145/42 sin(87 t + 192/49) + 49/32 sin(88 t + 19/21) + 67/48 sin(89 t + 1/13) + 33/28 sin(90 t + 151/48) + 40/21 sin(91 t + 121/31) + 33/20 sin(92 t + 11/15) + 106/49 sin(93 t + 1/9) + 17/19 sin(94 t + 98/59) + 7/3 sin(95 t + 176/45) + 97/29 sin(96 t + 20/31) + 50/27 sin(97 t + 2/9) + 17/7 sin(98 t + 136/41) + 16260/23) θ(59 π - t) θ(t - 55 π) + (-142/41 sin(39/25 - 17 t) - 68/33 sin(38/25 - 15 t) - 25/12 sin(23/15 - 13 t) - 23/12 sin(65/42 - 12 t) - 497/33 sin(36/23 - 6 t) - 105/19 sin(25/16 - 5 t) - 1996/33 sin(47/30 - 4 t) - 802/73 sin(113/72 - t) + 11015/34 sin(2 t + 212/45) + 354/35 sin(3 t + 146/31) + 109/14 sin(7 t + 221/47) + 16/15 sin(8 t + 41/25) + 217/69 sin(9 t + 144/31) + 17/13 sin(10 t + 233/50) + 82/29 sin(11 t + 164/35) + 3/7 sin(14 t + 36/23) + 224/79 sin(16 t + 35/22) + 43/14 sin(18 t + 69/43) + 7930/11) θ(55 π - t) θ(t - 51 π) + (-13/25 sin(19/28 - 9 t) - 16/33 sin(38/41 - 7 t) + 181/15 sin(t + 112/27) + 159/32 sin(2 t + 33/49) + 259/38 sin(3 t + 106/31) + 57/13 sin(4 t + 109/35) + 8/27 sin(5 t + 20/31) + 35/22 sin(6 t + 77/25) + 41/32 sin(8 t + 34/19) + 23/42 sin(10 t + 44/41) + 22/35 sin(11 t + 117/25) + 17/32 sin(12 t + 13/22) - 9500/9) θ(51 π - t) θ(t - 47 π) + (-2423/42 sin(36/29 - t) - 38027/36) θ(47 π - t) θ(t - 43 π) + (-232/21 sin(59/47 - 5 t) - 380/27 sin(2/17 - 4 t) - 472/19 sin(19/18 - 3 t) + 3307/21 sin(t + 7/37) + 1527/17 sin(2 t + 76/65) + 25/33 sin(6 t + 23/20) + 281/36 sin(7 t + 134/33) + 37/27 sin(8 t + 57/25) + 52/23 sin(9 t + 54/13) + 21/5 sin(10 t + 19/9) + 54/25 sin(11 t + 172/51) + 105/32 sin(12 t + 53/46) - 12945/26) θ(43 π - t) θ(t - 39 π) + (-11/30 sin(36/43 - 11 t) - 7/23 sin(3/11 - 7 t) - 73/19 sin(1/49 - 3 t) - 19/28 sin(4/31 - t) + 9/13 sin(2 t + 21/62) + 905/226 sin(4 t + 4/25) + 24/19 sin(5 t + 111/40) + 17/27 sin(6 t + 41/23) + 13/27 sin(8 t + 57/20) + 13/31 sin(9 t + 5/27) + 5/23 sin(10 t + 59/18) + 13/77 sin(12 t + 123/37) + 7606/23) θ(39 π - t) θ(t - 35 π) + (-2/9 sin(7/25 - 11 t) - 2/17 sin(17/32 - 9 t) - 4/31 sin(25/17 - 7 t) - 9/20 sin(41/39 - 5 t) + 7/4 sin(t + 53/28) + 34/9 sin(2 t + 109/26) + 45/8 sin(3 t + 217/51) + 49/38 sin(4 t + 37/36) + 7/22 sin(6 t + 90/181) + 5/23 sin(8 t + 11/25) + 3/29 sin(10 t + 169/41) + 4/21 sin(12 t + 305/76) + 6727/20) θ(35 π - t) θ(t - 31 π) + (-5/3 sin(23/34 - 3 t) - 2989/130 sin(9/28 - t) + 13/30 sin(2 t + 37/16) + 5/6 sin(4 t + 29/10) + 15/41 sin(5 t + 55/46) + 5/23 sin(6 t + 91/27) + 9085/27) θ(31 π - t) θ(t - 27 π) + (-56/45 sin(16/17 - 3 t) - 2344/125 sin(19/43 - t) + 5/6 sin(2 t + 20/19) + 26/23 sin(4 t + 75/31) + 4/35 sin(5 t + 654/187) + 28/113 sin(6 t + 118/37) + 14511/44) θ(27 π - t) θ(t - 23 π) + (-31/17 sin(29/48 - 14 t) - 50/27 sin(33/98 - 13 t) - 41/15 sin(11/39 - 10 t) - 133/66 sin(5/18 - 8 t) - 1171/19 sin(7/29 - 2 t) - 1421/10 sin(27/22 - t) + 1347/59 sin(3 t + 25/8) + 942/43 sin(4 t + 29/20) + 740/49 sin(5 t + 18/17) + 47/8 sin(6 t + 132/35) + 167/13 sin(7 t + 169/94) + 67/19 sin(9 t + 53/33) + 16/81 sin(11 t + 49/44) + 35/18 sin(12 t + 4/15) + 9/23 sin(15 t + 116/37) + 19/11 sin(16 t + 9/37) + 2031/17) θ(23 π - t) θ(t - 19 π) + (-23/30 sin(25/63 - 12 t) - 163/109 sin(17/27 - 10 t) - sin(20/31 - 8 t) - 104/11 sin(22/35 - 3 t) - 98/27 sin(53/52 - t) + 138/55 sin(2 t + 251/58) + 177/17 sin(4 t + 8/37) + 269/84 sin(5 t + 75/17) + 28/29 sin(6 t + 72/23) + 20/19 sin(7 t + 55/28) + 68/45 sin(9 t + 66/31) + 31/37 sin(11 t + 155/59) - 6747/22) θ(19 π - t) θ(t - 15 π) + (-103/38 sin(25/34 - 8 t) - 439/219 sin(19/17 - 7 t) - 159/31 sin(3/13 - 5 t) - 35/26 sin(7/24 - 4 t) - 387/83 sin(5/7 - 3 t) + 944/19 sin(t + 79/26) + 329/31 sin(2 t + 17/36) + 25/12 sin(6 t + 155/44) - 4790/31) θ(15 π - t) θ(t - 11 π) + (-84/31 sin(92/61 - 4 t) - 3 sin(14/9 - 3 t) - 381/31 sin(39/35 - 2 t) + 925/46 sin(t + 259/86) + 48/43 sin(5 t + 53/16) + 27/29 sin(6 t + 105/44) + 11/21 sin(7 t + 38/21) + 7/31 sin(8 t + 227/76) + 11503/35) θ(11 π - t) θ(t - 7 π) + (-16/21 sin(13/16 - 7 t) + 245/12 sin(t + 26/21) + 199/20 sin(2 t + 11/20) + 47/26 sin(3 t + 17/7) + 70/51 sin(4 t + 41/21) + 22/9 sin(5 t + 258/59) + 29/31 sin(6 t + 242/81) + 7/24 sin(8 t + 13/22) + 26/37 sin(9 t + 55/64) + 8693/27) θ(7 π - t) θ(t - 3 π) + (-16/9 sin(27/31 - 12 t) - 103/38 sin(37/36 - 8 t) - 63/25 sin(5/26 - 7 t) - 58204/85 sin(4/21 - t) + 371/34 sin(2 t + 109/27) + 632/39 sin(3 t + 71/27) + 262/33 sin(4 t + 13/16) + 283/41 sin(5 t + 43/24) + 58/33 sin(6 t + 79/32) + 59/21 sin(9 t + 77/20) + 42/19 sin(10 t + 81/35) + 178/179 sin(11 t + 17/19) + 11/35 sin(13 t + 67/16) + 11/25 sin(14 t + 14/13) + 11/30 sin(15 t + 135/29) + 16/49 sin(16 t + 70/43) + 6851/32) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

ジャッキーチェン（Jackie Chan）

朝鮮

金正日

x(t) = ((-3/7 sin(11/7 - 6 t) - 7/3 sin(11/7 - 5 t) - 7/4 sin(3/2 - 4 t) - 35/6 sin(11/7 - 2 t) - 838/5 sin(8/5 - t) + 1/9 sin(3 t + 5/2) - 1403/7) θ(155 π - t) θ(t - 151 π) + (-55/3 sin(8/5 - 3 t) - 569/5 sin(8/5 - 2 t) + 358/5 sin(t + 8/5) + 38/5 sin(4 t + 33/7) + 53/7 sin(5 t + 8/5) + 37/6 sin(6 t + 33/7) + 297/4) θ(151 π - t) θ(t - 147 π) + (-127/9 sin(8/5 - 3 t) - 573/5 sin(8/5 - 2 t) + 45/7 sin(t + 33/7) + 28/3 sin(4 t + 8/5) + 12/5 sin(5 t + 11/7) - 3449/5) θ(147 π - t) θ(t - 143 π) + (-19/10 sin(11/7 - 10 t) - 1/5 sin(7/5 - 9 t) - 74/15 sin(11/7 - 8 t) - 4/3 sin(3/2 - 7 t) - 37/7 sin(11/7 - 6 t) - 91/6 sin(8/5 - 2 t) + 87/5 sin(t + 8/5) + 61/5 sin(3 t + 8/5) + 7/2 sin(4 t + 33/7) + 36/5 sin(5 t + 8/5) + 1546/5) θ(143 π - t) θ(t - 139 π) + (-17/9 sin(3/5 - 79 t) - 1/2 sin(2/5 - 68 t) - 4/7 sin(1/3 - 57 t) - 5/4 sin(1/3 - 46 t) - 17/4 sin(10/7 - 5 t) - 320/7 sin(8/5 - 3 t) + 2787/4 sin(t + 33/7) + 173/5 sin(2 t + 8/5) + 217/5 sin(4 t + 11/7) + 6 sin(6 t + 8/5) + 47/3 sin(7 t + 14/3) + 80/7 sin(8 t + 23/5) + 5 sin(9 t + 14/3) + 101/25 sin(10 t + 11/7) + 1/5 sin(11 t + 6/5) + 26/9 sin(12 t + 11/7) + 3/7 sin(13 t + 3/2) + 13/6 sin(14 t + 14/3) + 11/7 sin(15 t + 23/5) + 11/6 sin(16 t + 4/3) + 10/7 sin(17 t + 5/3) + 17/2 sin(18 t + 23/5) + 7/2 sin(19 t + 9/2) + 8/5 sin(20 t + 22/5) + 27/5 sin(21 t + 23/5) + 1/4 sin(22 t + 30/7) + 11/4 sin(23 t + 4/3) + 3/4 sin(24 t + 5/4) + 23/12 sin(25 t + 23/5) + 1/15 sin(26 t + 15/4) + 64/21 sin(27 t + 7/5) + 11/4 sin(28 t + 7/5) + 10/3 sin(29 t + 4/3) + 14/3 sin(30 t + 7/5) + 13/12 sin(31 t + 6/7) + 23/7 sin(32 t + 4/3) + 23/5 sin(33 t + 6/5) + 34/3 sin(34 t + 4/3) + 19/3 sin(35 t + 5/4) + 29/4 sin(36 t + 4/3) + 7/3 sin(37 t + 5/4) + 40/9 sin(38 t + 13/3) + 65/6 sin(39 t + 22/5) + 9 sin(40 t + 22/5) + 31/7 sin(41 t + 17/4) + 39/5 sin(42 t + 31/7) + 1/2 sin(43 t + 9/5) + 116/13 sin(44 t + 9/7) + 23/4 sin(45 t + 6/5) + 52/5 sin(47 t + 6/5) + 406/27 sin(48 t + 5/4) + 23/6 sin(49 t + 32/7) + 64/5 sin(50 t + 22/5) + 15/7 sin(51 t + 13/3) + 155/14 sin(52 t + 4/3) + 15/4 sin(53 t + 4/3) + 80/7 sin(54 t + 30/7) + 97/5 sin(55 t + 22/5) + 39/5 sin(56 t + 17/4) + 37/3 sin(58 t + 8/7) + 77/4 sin(59 t + 7/6) + 61/5 sin(60 t + 20/19) + 37/5 sin(61 t + 12/11) + 4/3 sin(62 t + 13/12) + 19/4 sin(63 t + 22/5) + 4 sin(64 t + 25/6) + 59/12 sin(65 t + 30/7) + 3/5 sin(66 t + 31/7) + 23/4 sin(67 t + 4/3) + 1/3 sin(69 t + 6/5) + 6/5 sin(70 t + 3/2) + 15/4 sin(71 t + 13/3) + 2 sin(72 t + 27/7) + 14/5 sin(73 t + 17/4) + 3/2 sin(74 t + 35/9) + 4/7 sin(75 t + 105/26) + 1/2 sin(76 t + 7/3) + 5/4 sin(77 t + 1/3) + 29/5 sin(78 t + 5/4) + 19/3 sin(80 t + 5/4) - 1466/5) θ(139 π - t) θ(t - 135 π) + (-7/3 sin(11/7 - 32 t) - 2/7 sin(10/7 - 30 t) - 1/2 sin(3/2 - 23 t) - 1/9 sin(6/5 - 21 t) - sin(11/7 - 18 t) - 29/7 sin(8/5 - 15 t) - 22/7 sin(3/2 - 9 t) + 4492/5 sin(t + 33/7) + 48/7 sin(2 t + 14/3) + 431/8 sin(3 t + 11/7) + 35/4 sin(4 t + 11/7) + 43/2 sin(5 t + 8/5) + 41/6 sin(6 t + 14/3) + 5/7 sin(7 t + 7/4) + 13/2 sin(8 t + 33/7) + 49/5 sin(10 t + 8/5) + 1/2 sin(11 t + 5/3) + 8/5 sin(12 t + 8/5) + 9/4 sin(13 t + 3/2) + 15/7 sin(14 t + 8/5) + 12/5 sin(16 t + 8/5) + 11/7 sin(17 t + 11/7) + 10/3 sin(19 t + 11/7) + 5/3 sin(20 t + 8/5) + 9/4 sin(22 t + 8/5) + 61/20 sin(24 t + 11/7) + 13/4 sin(25 t + 11/7) + 2 sin(26 t + 8/5) + 3/4 sin(27 t + 3/2) + 3 sin(28 t + 11/7) + 13/5 sin(31 t + 8/5) + 32/7 sin(33 t + 11/7) - 1569/7) θ(135 π - t) θ(t - 131 π) + (-33/7 sin(8/5 - t) + 21/4 sin(2 t + 8/5) + 8/7 sin(3 t + 33/7) + 10/3 sin(4 t + 8/5) + 2/3 sin(5 t + 33/7) + 9/5 sin(6 t + 8/5) + 603/5) θ(131 π - t) θ(t - 127 π) + (2611/18 sin(t + 8/5) + 10/3 sin(2 t + 33/7) + 109/10 sin(3 t + 8/5) + 9/4 sin(4 t + 8/5) + 13/3 sin(5 t + 8/5) + 2/3 sin(6 t + 8/5) + 717/2) θ(127 π - t) θ(t - 123 π) + (-8/5 sin(8/5 - 6 t) - 25/8 sin(11/7 - 5 t) - 26/3 sin(8/5 - 3 t) - 15/4 sin(8/5 - 2 t) - 719/5 sin(8/5 - t) + 4 sin(4 t + 33/7) - 1539/7) θ(123 π - t) θ(t - 119 π) + (-9/4 sin(11/7 - 10 t) - 13/7 sin(3/2 - 9 t) - 17/16 sin(11/7 - 8 t) - 28/5 sin(8/5 - 6 t) - 234/7 sin(11/7 - 3 t) - 382/7 sin(11/7 - 2 t) + 339/5 sin(t + 8/5) + 31/7 sin(4 t + 8/5) + 45/7 sin(5 t + 8/5) + 3/2 sin(7 t + 11/7) + 239/3) θ(119 π - t) θ(t - 115 π) + (-8/3 sin(3/2 - 10 t) - 100/7 sin(11/7 - 4 t) + 7/5 sin(t + 11/7) + 231/8 sin(2 t + 8/5) + 233/4 sin(3 t + 8/5) + 17/4 sin(5 t + 11/7) + 16/5 sin(6 t + 8/5) + 3/2 sin(7 t + 14/9) + 21/5 sin(8 t + 8/5) + 7/8 sin(9 t + 11/7) + 2425/7) θ(115 π - t) θ(t - 111 π) + (-28/9 sin(11/7 - 10 t) - 3/4 sin(11/7 - 4 t) + 235/4 sin(t + 8/5) + 102/7 sin(2 t + 8/5) + 415/13 sin(3 t + 8/5) + 48 sin(5 t + 33/7) + 331/5 sin(6 t + 33/7) + 95/3 sin(7 t + 8/5) + 227/12 sin(8 t + 33/7) + 9/8 sin(9 t + 5/3) - 1753/8) θ(111 π - t) θ(t - 107 π) + (-4/5 sin(11/7 - 14 t) - 8/5 sin(11/7 - 12 t) - 5/4 sin(11/7 - 10 t) - 14/3 sin(11/7 - 7 t) - 21/2 sin(11/7 - 2 t) + 38/5 sin(t + 8/5) + 93/7 sin(3 t + 8/5) + 89/11 sin(4 t + 33/7) + 157/3 sin(5 t + 8/5) + 8 sin(6 t + 8/5) + 1/2 sin(8 t + 3/2) + 4/3 sin(9 t + 3/2) + 3/4 sin(11 t + 3/2) + 9/4 sin(13 t + 8/5) - 2003/5) θ(107 π - t) θ(t - 103 π) + (-10/7 sin(11/7 - 10 t) - 38/5 sin(8/5 - 3 t) - 1/4 sin(4/3 - 2 t) - 277/6 sin(8/5 - t) + 37/5 sin(4 t + 8/5) + sin(5 t + 8/5) + 66/13 sin(6 t + 8/5) + 3/4 sin(7 t + 14/3) + 4 sin(8 t + 8/5) + 19/5 sin(9 t + 8/5) - 4021/20) θ(103 π - t) θ(t - 99 π) + (-18/7 sin(11/7 - 9 t) - 62/3 sin(11/7 - 3 t) + 219/2 sin(t + 8/5) + 263/4 sin(2 t + 8/5) + 75/4 sin(4 t + 8/5) + 21/10 sin(5 t + 5/3) + 9/4 sin(6 t + 3/2) + 1/5 sin(7 t + 25/13) + 21/5 sin(8 t + 8/5) + 7/4 sin(10 t + 8/5) + 1773/5) θ(99 π - t) θ(t - 95 π) + (-4/5 sin(4/3 - 16 t) - 11/2 sin(11/7 - 13 t) - 52/5 sin(14/9 - 11 t) - 34/3 sin(3/2 - 9 t) - 26/5 sin(3/2 - 8 t) - 41/2 sin(11/7 - 2 t) - 40/3 sin(11/7 - t) + 69/17 sin(3 t + 8/5) + 17/6 sin(4 t + 8/5) + 2/3 sin(5 t + 14/3) + 76/3 sin(6 t + 8/5) + 89/3 sin(7 t + 8/5) + 95/7 sin(10 t + 8/5) + 39/8 sin(12 t + 8/5) + 6/7 sin(14 t + 7/5) + 1/3 sin(15 t + 32/7) + 2444/5) θ(95 π - t) θ(t - 91 π) + (-3/2 sin(11/7 - 2 t) + 36 sin(t + 8/5) + 109/11 sin(3 t + 33/7) + 11/4 sin(4 t + 33/7) + 11/3 sin(5 t + 11/7) + 3/2 sin(6 t + 11/7) + 561/5) θ(91 π - t) θ(t - 87 π) + (889/6 sin(t + 8/5) + 15/4 sin(2 t + 14/3) + 33/2 sin(3 t + 8/5) + 1/6 sin(4 t + 31/7) + 65/11 sin(5 t + 8/5) + 1/6 sin(6 t + 9/2) - 1857/7) θ(87 π - t) θ(t - 83 π) + (-155/14 sin(11/7 - 5 t) - 5/2 sin(3/2 - 4 t) - 58/3 sin(11/7 - 3 t) - 67/3 sin(8/5 - 2 t) - 313 sin(8/5 - t) + 1/16 sin(6 t + 8/3) + 75) θ(83 π - t) θ(t - 79 π) + (1447/5 sin(t + 8/5) + 181/12 sin(2 t + 8/5) + 74/3 sin(3 t + 8/5) + 69/14 sin(4 t + 11/7) + 65/6 sin(5 t + 8/5) - 1473/4) θ(79 π - t) θ(t - 75 π) + (1629/4 sin(t + 8/5) + 19/4 sin(2 t + 33/7) + 155/4 sin(3 t + 8/5) + 9/4 sin(4 t + 14/3) + 95/7 sin(5 t + 8/5) + 8/5 sin(6 t + 14/3) + 45/7 sin(7 t + 11/7) + 29/4) θ(75 π - t) θ(t - 71 π) + (1988/5 sin(t + 8/5) + 7/4 sin(2 t + 5/3) + 39 sin(3 t + 8/5) + 2 sin(4 t + 14/3) + 64/5 sin(5 t + 8/5) + sin(6 t + 14/3) + 6 sin(7 t + 8/5) - 735/16) θ(71 π - t) θ(t - 67 π) + (-3 sin(7/5 - 37 t) - 1/8 sin(9/7 - 36 t) - 23/5 sin(10/7 - 34 t) - 3 sin(3/2 - 29 t) - 20/7 sin(3/2 - 27 t) - 28/5 sin(10/7 - 24 t) - 3/7 sin(7/5 - 19 t) - 7/4 sin(8/5 - 17 t) - 62/9 sin(3/2 - 15 t) - 5/2 sin(3/2 - 14 t) - 17/4 sin(11/7 - 13 t) - 8/3 sin(3/2 - 11 t) - 34/3 sin(11/7 - 7 t) - 151/5 sin(11/7 - 6 t) - 115/4 sin(11/7 - 4 t) - 215/6 sin(11/7 - 3 t) - 129/4 sin(11/7 - 2 t) + 377/3 sin(t + 8/5) + 95/7 sin(5 t + 8/5) + 21/5 sin(8 t + 8/5) + 77/4 sin(9 t + 8/5) + 5/2 sin(10 t + 8/5) + 26/5 sin(12 t + 8/5) + 71/9 sin(16 t + 8/5) + 27/5 sin(18 t + 8/5) + 1/12 sin(20 t + 14/15) + sin(21 t + 14/3) + 8/7 sin(22 t + 5/3) + 1/4 sin(23 t + 14/3) + 13/3 sin(25 t + 5/3) + 5/2 sin(26 t + 5/3) + 3/5 sin(28 t + 10/7) + 15/4 sin(30 t + 5/3) + 2/7 sin(31 t + 9/2) + sin(32 t + 5/3) + 10/7 sin(33 t + 8/5) + 19/7 sin(35 t + 7/4) + 13/6 sin(38 t + 5/3) + 765/7) θ(67 π - t) θ(t - 63 π) + (-12/5 sin(8/5 - 5 t) - 21/4 sin(8/5 - 3 t) + 298/3 sin(t + 33/7) + 1/4 sin(2 t + 5/3) + 76/25 sin(4 t + 8/5) + 4/5 sin(6 t + 8/5) - 695/4) θ(63 π - t) θ(t - 59 π) + (-4/5 sin(11/7 - 17 t) - 13/14 sin(8/5 - 13 t) - 15/4 sin(11/7 - 10 t) - 4/5 sin(11/7 - 9 t) - 17/8 sin(11/7 - 4 t) - 11/5 sin(11/7 - 2 t) + 301/5 sin(t + 8/5) + 14/3 sin(3 t + 8/5) + 16/3 sin(5 t + 8/5) + 4/5 sin(6 t + 11/7) + 47/23 sin(7 t + 8/5) + 10/7 sin(8 t + 8/5) + 7/5 sin(11 t + 8/5) + 1/4 sin(12 t + 8/5) + 1/3 sin(14 t + 14/3) + 4/3 sin(15 t + 33/7) + 1/2 sin(16 t + 8/5) + 1/3 sin(18 t + 8/5) + 1/10 sin(19 t + 11/7) + 1/7 sin(20 t + 3/2) + 791/8) θ(59 π - t) θ(t - 55 π) + (-1/11 sin(4/3 - 18 t) - 12/11 sin(11/7 - 12 t) - 16/5 sin(3/2 - 10 t) - 29/15 sin(3/2 - 9 t) + 699/7 sin(t + 8/5) + 1/6 sin(2 t + 17/5) + 26/3 sin(3 t + 8/5) + 1/2 sin(4 t + 23/5) + 51/10 sin(5 t + 8/5) + 3/5 sin(6 t + 14/3) + 11/4 sin(7 t + 8/5) + 4/3 sin(8 t + 8/5) + 11/5 sin(11 t + 8/5) + 19/9 sin(13 t + 8/5) + 1/3 sin(14 t + 7/4) + 4/5 sin(15 t + 8/5) + 2/3 sin(16 t + 8/5) + 1/10 sin(17 t + 11/7) + 1/2 sin(19 t + 5/3) + sin(20 t + 5/3) + 1/8 sin(21 t + 9/5) + 3/5 sin(22 t + 5/3) + 1/4 sin(23 t + 5/3) + 351/5) θ(55 π - t) θ(t - 51 π) + (-1/5 sin(9/8 - 10 t) - 2/3 sin(4/7 - 8 t) - 17/7 sin(7/5 - 6 t) - 7/3 sin(5/7 - 2 t) - 35/17 sin(1/4 - t) + 5/3 sin(3 t + 53/13) + 19/4 sin(4 t + 3/2) + 46/7 sin(5 t + 5/3) + 4/3 sin(7 t + 11/7) + 2/3 sin(9 t + 11/5) + 305) θ(51 π - t) θ(t - 47 π) + (-4/3 sin(1/3 - 2 t) - 7/5 sin(2/3 - t) + 5/4 sin(3 t + 9/7) + 8/3 sin(4 t + 3) + 5/2 sin(5 t + 8/3) + 13/5 sin(6 t + 23/5) + 31/5 sin(7 t + 27/13) + 17/3 sin(8 t + 9/5) + 11/6 sin(9 t + 9/2) + 7/6 sin(10 t + 8/5) - 1247/6) θ(47 π - t) θ(t - 43 π) + (-2/5 sin(4/3 - 6 t) - 2/7 sin(1 - 4 t) - 2/5 sin(14/13 - 2 t) + 121/3 sin(t + 7/5) + 30/29 sin(3 t + 4/3) + 3/5 sin(5 t + 69/17) + 1221/4) θ(43 π - t) θ(t - 39 π) + (231/5 sin(t + 16/15) + 7/3 sin(2 t + 17/4) + 12/5 sin(3 t + 1/9) + 13/7 sin(4 t + 11/3) + 1/4 sin(5 t + 43/11) + sin(6 t + 13/4) - 1665/8) θ(39 π - t) θ(t - 35 π) + (-5/6 sin(11/7 - 9 t) - 3/2 sin(7/5 - 7 t) - 42/5 sin(11/7 - 3 t) + 265/3 sin(t + 33/7) + 9/4 sin(2 t + 11/3) + 13/9 sin(4 t + 19/6) + 28/9 sin(5 t + 14/3) + sin(6 t + 16/5) + 2/3 sin(8 t + 32/11) + 2/5 sin(10 t + 5/2) + 1608/5) θ(35 π - t) θ(t - 31 π) + (-23/5 sin(9/7 - 2 t) + 221/2 sin(t + 11/7) + 79/10 sin(3 t + 5/3) + 23/5 sin(4 t + 33/7) + 4/3 sin(5 t + 9/4) + 14/5 sin(6 t + 13/3) + 9/8 sin(7 t + 25/8) + 27/14 sin(8 t + 93/23) + 6/5 sin(9 t + 14/5) + 6/5 sin(10 t + 11/3) - 1087/5) θ(31 π - t) θ(t - 27 π) + (-41/14 sin(4/3 - 2 t) + 639/5 sin(t + 11/7) + 87/7 sin(3 t + 11/7) + 5/3 sin(4 t + 21/5) + 14/3 sin(5 t + 9/5) + sin(6 t + 7/2) + 11/4 sin(7 t + 2) + 1/4 sin(8 t + 3) + 27/13 sin(9 t + 8/5) + 1/3 sin(10 t + 11/7) + 981/14) θ(27 π - t) θ(t - 23 π) + (177 sin(t + 8/5) + 3 sin(2 t + 17/4) + 77/6 sin(3 t + 11/7) + 61/15 sin(4 t + 17/4) + 4 sin(5 t + 7/4) + 10/3 sin(6 t + 25/6) + 9/5 sin(7 t + 19/10) + 7/3 sin(8 t + 21/5) + sin(9 t + 5/3) + 8/5 sin(10 t + 81/20) + 476/9) θ(23 π - t) θ(t - 19 π) + (-25/6 sin(7/5 - 4 t) - 71/12 sin(3/5 - 2 t) + 2855/12 sin(t + 9/7) + 46/15 sin(3 t + 20/7) + 8/3 sin(5 t + 16/5) + 2/3 sin(6 t + 18/5) + 1213/3) θ(19 π - t) θ(t - 15 π) + (-14/3 sin(1/4 - 4 t) - 50/11 sin(26/25 - 3 t) - 25/4 sin(7/5 - 2 t) + 2242/9 sin(t + 7/3) + 17/4 sin(5 t + 7/4) + 7/5 sin(6 t + 6/5) - 2518/11) θ(15 π - t) θ(t - 11 π) + (-20/21 sin(6/5 - 14 t) - 61/10 sin(26/25 - 12 t) - 8/7 sin(3/4 - 10 t) - 114/5 sin(6/7 - 6 t) + 2621/4 sin(t + 9/5) + 301/3 sin(2 t + 27/7) + 563/9 sin(3 t + 5/2) + 148/3 sin(4 t + 43/11) + 125/4 sin(5 t + 11/5) + 59/5 sin(7 t + 13/5) + 21/5 sin(8 t + 14/9) + 81/20 sin(9 t + 5/4) + 8/3 sin(11 t + 12/7) + 23/4 sin(13 t + 31/10) + 12/5 sin(15 t + 40/13) + 7/5 sin(16 t + 3/5) - 201/2) θ(11 π - t) θ(t - 7 π) + (-3 sin(1/9 - 13 t) - 17/5 sin(7/5 - 11 t) - 49/24 sin(4/3 - 10 t) - 19/3 sin(1 - 9 t) - 680/7 sin(10/7 - 3 t) + 184/7 sin(t + 29/14) + 242/9 sin(2 t + 5/2) + 231/10 sin(4 t + 15/7) + 18/5 sin(5 t + 35/17) + 61/4 sin(6 t + 5/4) + 13 sin(7 t + 51/13) + 32/5 sin(8 t + 33/8) + 7/4 sin(12 t + 11/4) + 12/5 sin(14 t + 26/25) + 21/4 sin(15 t + 5/7) - 5777/6) θ(7 π - t) θ(t - 3 π) + (-21/5 sin(1/3 - 16 t) - 90/13 sin(1/5 - 8 t) - 323/7 sin(7/5 - 3 t) + 1509/2 sin(t + 9/5) + 1079/14 sin(2 t + 21/5) + 402/13 sin(4 t + 13/4) + 53/3 sin(5 t + 8/5) + 38/5 sin(6 t + 24/7) + 309/11 sin(7 t + 21/20) + 49/5 sin(9 t + 1/3) + 15/2 sin(10 t + 17/4) + 4 sin(11 t + 9/2) + 26/5 sin(12 t + 7/2) + 37/7 sin(13 t + 11/5) + 13/4 sin(14 t + 1/4) + 7/5 sin(15 t + 7/4) + 11/6 sin(17 t + 31/8) - 1011/7) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-34/7 sin(11/7 - 6 t) - 71/5 sin(8/5 - 4 t) - 815/11 sin(8/5 - 2 t) + 74/7 sin(t + 8/5) + 2/3 sin(3 t + 4/3) + 2/5 sin(5 t + 4/3) + 523/2) θ(155 π - t) θ(t - 151 π) + (-113/4 sin(11/7 - 3 t) - 415/16 sin(8/5 - 2 t) - 98/5 sin(8/5 - t) + 47/5 sin(4 t + 8/5) + 2/5 sin(5 t + 5/3) + 1/10 sin(6 t + 23/5) - 5544/5) θ(151 π - t) θ(t - 147 π) + (-787/7 sin(8/5 - 3 t) + 1883/12 sin(t + 8/5) + 248/3 sin(2 t + 8/5) + 11/6 sin(4 t + 8/5) + 101/4 sin(5 t + 33/7) - 72) θ(147 π - t) θ(t - 143 π) + (-1/2 sin(11/7 - 10 t) - 18/7 sin(11/7 - 9 t) - 4/7 sin(3/2 - 8 t) - 37/9 sin(11/7 - 7 t) - 17/16 sin(3/2 - 6 t) - 62/7 sin(11/7 - 5 t) - 9/5 sin(11/7 - 4 t) - 163/6 sin(8/5 - 3 t) - 7/5 sin(4/3 - 2 t) - 539/2 sin(8/5 - t) - 1846/5) θ(143 π - t) θ(t - 139 π) + (-61/15 sin(11/7 - 76 t) - 12/5 sin(11/7 - 18 t) + 1054/9 sin(t + 14/3) + 3989/14 sin(2 t + 33/7) + 73/18 sin(3 t + 21/5) + 403/4 sin(4 t + 14/3) + 71/5 sin(5 t + 5/3) + 92/3 sin(6 t + 14/3) + 22/3 sin(7 t + 5/3) + 128/5 sin(8 t + 14/3) + 5/2 sin(9 t + 17/4) + 27 sin(10 t + 14/3) + 47/7 sin(11 t + 9/2) + 199/10 sin(12 t + 14/3) + 27/4 sin(13 t + 9/2) + 41/6 sin(14 t + 14/3) + 17/16 sin(15 t + 13/6) + 55/6 sin(16 t + 14/3) + 4/3 sin(17 t + 21/5) + 3/2 sin(19 t + 17/9) + 194/15 sin(20 t + 23/5) + 12/5 sin(21 t + 17/4) + 41/7 sin(22 t + 23/5) + 15/2 sin(23 t + 9/2) + 13 sin(24 t + 32/7) + 3/2 sin(25 t + 49/12) + 11/5 sin(26 t + 32/7) + 81/16 sin(27 t + 9/2) + 7/2 sin(28 t + 9/2) + 11/4 sin(29 t + 13/9) + 7/2 sin(30 t + 9/2) + 21/5 sin(31 t + 22/5) + 13/7 sin(32 t + 14/3) + 19/7 sin(33 t + 11/7) + 47/7 sin(34 t + 32/7) + 9/4 sin(35 t + 13/3) + 2/5 sin(36 t + 25/6) + 38/7 sin(37 t + 31/7) + 7/5 sin(38 t + 14/3) + 22/3 sin(39 t + 7/5) + 27/5 sin(40 t + 9/2) + 14/3 sin(41 t + 13/3) + 13/12 sin(42 t + 1/3) + 43/5 sin(43 t + 7/5) + 47/5 sin(44 t + 9/2) + 61/7 sin(45 t + 32/7) + 290/17 sin(46 t + 4/3) + sin(47 t + 10/3) + 91/3 sin(48 t + 9/2) + 33/5 sin(49 t + 4/3) + 133/4 sin(50 t + 4/3) + 27/4 sin(51 t + 23/5) + 125/6 sin(52 t + 22/5) + 12/5 sin(53 t + 7/2) + 5 sin(54 t + 14/3) + 41/5 sin(55 t + 6/5) + 237/14 sin(56 t + 4/3) + 183/14 sin(57 t + 41/9) + 14/3 sin(58 t + 13/3) + 13/2 sin(59 t + 11/7) + 85/7 sin(60 t + 9/2) + 29/10 sin(61 t + 3/2) + 16/3 sin(62 t + 4/3) + 34/5 sin(63 t + 23/5) + 39/8 sin(64 t + 4/3) + 5/3 sin(65 t + 4/3) + 30/7 sin(66 t + 9/2) + 2 sin(67 t + 11/7) + 17/5 sin(68 t + 31/7) + 4/3 sin(69 t + 1) + 26/5 sin(70 t + 4/3) + 20/3 sin(71 t + 32/7) + 32/7 sin(72 t + 3/2) + 11/5 sin(73 t + 13/3) + 65/11 sin(74 t + 31/7) + 17/3 sin(75 t + 10/7) + 23/6 sin(77 t + 5/4) + 3/2 sin(78 t + 8/5) + 31/5 sin(79 t + 9/2) + 20/3 sin(80 t + 10/7) + 2627/3) θ(139 π - t) θ(t - 135 π) + (-1/5 sin(10/9 - 32 t) - 7/3 sin(11/7 - 26 t) - 12/13 sin(3/2 - 23 t) - 4 sin(11/7 - 18 t) - 9 sin(11/7 - 10 t) - 12 sin(11/7 - 8 t) - 1679/21 sin(8/5 - 4 t) + 274/11 sin(t + 33/7) + 1378/3 sin(2 t + 33/7) + 173/6 sin(3 t + 33/7) + 61/3 sin(5 t + 33/7) + 33 sin(6 t + 33/7) + 9 sin(7 t + 8/5) + 26/3 sin(9 t + 14/3) + 21/5 sin(11 t + 14/3) + 80/9 sin(12 t + 33/7) + 7/6 sin(13 t + 3/2) + 1/11 sin(14 t + 8/5) + 32/5 sin(15 t + 14/3) + 3/2 sin(16 t + 33/7) + 13/5 sin(17 t + 11/7) + 7/5 sin(19 t + 23/5) + 17/5 sin(20 t + 14/3) + 2/3 sin(21 t + 14/3) + 23/8 sin(22 t + 8/5) + 12/5 sin(24 t + 14/3) + 3/5 sin(25 t + 8/5) + 23/22 sin(27 t + 8/5) + sin(28 t + 3/2) + 9/5 sin(29 t + 14/3) + 1/3 sin(30 t + 9/2) + 7/8 sin(31 t + 3/2) + 2/5 sin(33 t + 23/5) + 4322/5) θ(135 π - t) θ(t - 131 π) + (927/8 sin(t + 8/5) + 4/7 sin(2 t + 8/5) + 61/5 sin(3 t + 8/5) + 1/2 sin(4 t + 8/5) + 4 sin(5 t + 8/5) + 2/5 sin(6 t + 5/3) + 2837/7) θ(131 π - t) θ(t - 127 π) + (-51/13 sin(8/5 - 6 t) - 22/3 sin(8/5 - 4 t) - 251/6 sin(8/5 - 2 t) - 215/8 sin(8/5 - t) + 15/4 sin(3 t + 11/7) + 7/8 sin(5 t + 11/7) + 2659/14) θ(127 π - t) θ(t - 123 π) + (-10/3 sin(8/5 - 6 t) - 9 sin(8/5 - 4 t) - 118/3 sin(8/5 - 2 t) - 9/2 sin(8/5 - t) + 34/7 sin(3 t + 8/5) + 34/11 sin(5 t + 8/5) + 928/5) θ(123 π - t) θ(t - 119 π) + (-3/4 sin(4/3 - 10 t) - 127/9 sin(11/7 - 9 t) - 226/9 sin(11/7 - 4 t) - 37/2 sin(11/7 - 3 t) + 191/5 sin(t + 8/5) + 43/4 sin(2 t + 8/5) + 23 sin(5 t + 8/5) + 9/2 sin(6 t + 5/3) + 15/2 sin(7 t + 8/5) + 27/5 sin(8 t + 8/5) - 765) θ(119 π - t) θ(t - 115 π) + (-2/3 sin(11/7 - 8 t) - 61/11 sin(11/7 - 7 t) - 2/5 sin(7/5 - 6 t) - 53/2 sin(8/5 - 3 t) - 124/5 sin(11/7 - 2 t) - 73/2 sin(8/5 - t) + 27/2 sin(4 t + 8/5) + 1/6 sin(5 t + 13/3) + 1/5 sin(9 t + 31/7) + 5/3 sin(10 t + 8/5) + 118/5) θ(115 π - t) θ(t - 111 π) + (-22 sin(8/5 - t) + 59/5 sin(2 t + 8/5) + 19/4 sin(3 t + 8/5) + 1/13 sin(4 t + 9/4) + 136/5 sin(5 t + 33/7) + 184/5 sin(6 t + 33/7) + 29/6 sin(7 t + 8/5) + 81/10 sin(8 t + 33/7) + 41/6 sin(9 t + 33/7) + 3 sin(10 t + 33/7) + 281/7) θ(111 π - t) θ(t - 107 π) + (-1/11 sin(10/7 - 14 t) - 10/7 sin(11/7 - 12 t) - 1/5 sin(3/2 - 9 t) - 12/5 sin(11/7 - 7 t) - 3/4 sin(11/7 - 2 t) - 81/4 sin(8/5 - t) + 1/4 sin(3 t + 8/5) + 18/5 sin(4 t + 33/7) + 37/3 sin(5 t + 8/5) + 10/3 sin(6 t + 8/5) + 5/6 sin(8 t + 11/7) + 4/3 sin(10 t + 8/5) + 6/7 sin(11 t + 11/7) + 1/3 sin(13 t + 8/5) + 900/7) θ(107 π - t) θ(t - 103 π) + (-6/5 sin(11/7 - 10 t) - 7/8 sin(11/7 - 7 t) - 26/3 sin(8/5 - 2 t) - 13/4 sin(11/7 - t) + 3/2 sin(3 t + 8/5) + 26/9 sin(4 t + 8/5) + 4/3 sin(5 t + 8/5) + 1/5 sin(6 t + 11/7) + 5/4 sin(8 t + 8/5) + 7/5 sin(9 t + 8/5) + 1854/5) θ(103 π - t) θ(t - 99 π) + (-19/10 sin(11/7 - 10 t) - 2/5 sin(3/2 - 9 t) - 7/4 sin(11/7 - 8 t) - 5/2 sin(11/7 - 7 t) - 2/3 sin(3/2 - 6 t) - 29/10 sin(11/7 - 5 t) - 18/5 sin(11/7 - 3 t) - 17 sin(11/7 - 2 t) - 181/7 sin(11/7 - t) + 1/8 sin(4 t + 14/3) + 1743/5) θ(99 π - t) θ(t - 95 π) + (-1/6 sin(3/2 - 16 t) - 8/5 sin(3/2 - 13 t) - 11/7 sin(10/7 - 12 t) - 16/3 sin(3/2 - 11 t) - 2/3 sin(10/7 - 8 t) - 109/9 sin(3/2 - 7 t) - 62/3 sin(3/2 - 6 t) - 57/5 sin(11/7 - 5 t) - 282/5 sin(11/7 - t) + 4 sin(2 t + 8/5) + 10/3 sin(3 t + 33/7) + 5/3 sin(4 t + 8/5) + 2/5 sin(9 t + 23/11) + 19/4 sin(10 t + 8/5) + 2/5 sin(14 t + 8/5) + 3/5 sin(15 t + 14/3) + 1261/15) θ(95 π - t) θ(t - 91 π) + (55/9 sin(t + 8/5) + 497/8 sin(2 t + 8/5) + 8/3 sin(3 t + 14/3) + 18/5 sin(4 t + 8/5) + 13/6 sin(5 t + 8/5) + 22/5 sin(6 t + 8/5) - 1949/6) θ(91 π - t) θ(t - 87 π) + (-1/3 sin(3/2 - 6 t) - 17/5 sin(11/7 - 5 t) - 1/4 sin(3/2 - 4 t) - 29/3 sin(8/5 - 3 t) - 13/2 sin(11/7 - 2 t) - 441/5 sin(8/5 - t) - 5702/7) θ(87 π - t) θ(t - 83 π) + (-57/5 sin(8/5 - 3 t) - 460/9 sin(8/5 - t) + 654/7 sin(2 t + 8/5) + 88/5 sin(4 t + 8/5) + 17/5 sin(5 t + 8/5) + 17/3 sin(6 t + 8/5) - 3904/5) θ(83 π - t) θ(t - 79 π) + (-44/5 sin(11/7 - 5 t) - 101/3 sin(8/5 - 3 t) + 238 sin(t + 33/7) + 33/2 sin(2 t + 8/5) + 24/5 sin(4 t + 8/5) - 4703/6) θ(79 π - t) θ(t - 75 π) + (-9/4 sin(11/7 - 7 t) - 55/8 sin(8/5 - 6 t) - 19/7 sin(11/7 - 5 t) - 104/7 sin(8/5 - 4 t) - 19/4 sin(11/7 - 3 t) - 433/7 sin(8/5 - 2 t) - 241/10 sin(8/5 - t) + 2683/5) θ(75 π - t) θ(t - 71 π) + (-7/8 sin(3/2 - 7 t) - 29/3 sin(11/7 - 6 t) - 5/2 sin(11/7 - 5 t) - 94/7 sin(11/7 - 4 t) - 13/4 sin(11/7 - 3 t) - 221/4 sin(8/5 - 2 t) + 154/5 sin(t + 8/5) + 3189/5) θ(71 π - t) θ(t - 67 π) + (-1/6 sin(4/7 - 38 t) - 15/7 sin(10/7 - 37 t) - 10/7 sin(3/2 - 35 t) - sin(4/3 - 34 t) - 15/14 sin(7/5 - 30 t) - 6/5 sin(10/7 - 29 t) - 3/7 sin(4/3 - 25 t) - 11/6 sin(10/7 - 24 t) - 2/5 sin(10/7 - 22 t) - 27/4 sin(3/2 - 15 t) - 25/4 sin(11/7 - 7 t) + 185/2 sin(t + 8/5) + 1091/13 sin(2 t + 8/5) + 377/6 sin(3 t + 8/5) + 216/5 sin(4 t + 8/5) + 157/7 sin(5 t + 8/5) + 295/14 sin(6 t + 8/5) + 15/8 sin(8 t + 3/2) + 12/5 sin(9 t + 14/3) + 46/3 sin(10 t + 8/5) + 5/4 sin(11 t + 14/3) + 10 sin(12 t + 8/5) + 1/3 sin(13 t + 17/4) + 39/5 sin(14 t + 8/5) + 8/5 sin(16 t + 3/2) + 2/3 sin(17 t + 14/3) + 23/4 sin(18 t + 5/3) + 7/4 sin(19 t + 5/3) + 28/27 sin(20 t + 11/7) + 17/8 sin(21 t + 5/3) + 2/3 sin(23 t + 12/7) + 4 sin(26 t + 5/3) + 1/13 sin(27 t + 9/5) + 3/2 sin(28 t + 8/5) + 13/6 sin(31 t + 5/3) + 1/3 sin(32 t + 13/7) + 19/7 sin(33 t + 5/3) + 23/8 sin(36 t + 12/7) - 747/5) θ(67 π - t) θ(t - 63 π) + (-7 sin(8/5 - 5 t) - 3/2 sin(8/5 - 4 t) - 85/4 sin(8/5 - 3 t) + 2133/13 sin(t + 33/7) + 2/5 sin(2 t + 8/5) + 1/4 sin(6 t + 14/3) - 1739/6) θ(63 π - t) θ(t - 59 π) + (-6/7 sin(14/9 - 18 t) - 3/5 sin(11/7 - 17 t) - 3/4 sin(11/7 - 15 t) - 19/9 sin(11/7 - 12 t) - 23/4 sin(8/5 - 9 t) + 1/4 sin(t + 3/2) + 23/4 sin(2 t + 8/5) + 28/9 sin(3 t + 11/7) + 7/2 sin(4 t + 8/5) + 1/19 sin(5 t + 12/5) + 27/7 sin(6 t + 33/7) + 13/6 sin(7 t + 14/3) + 29/7 sin(8 t + 33/7) + 3/4 sin(10 t + 14/3) + 16/5 sin(11 t + 8/5) + sin(13 t + 8/5) + 19/10 sin(14 t + 33/7) + 1/3 sin(16 t + 5/3) + 17/16 sin(19 t + 8/5) + 2/5 sin(20 t + 8/5) - 9743/21) θ(59 π - t) θ(t - 55 π) + (-3/7 sin(3/2 - 22 t) - 2/7 sin(7/5 - 20 t) - 7/5 sin(3/2 - 19 t) - sin(3/2 - 16 t) - 13/5 sin(3/2 - 15 t) - 12/5 sin(3/2 - 13 t) - 1/4 sin(4/3 - 12 t) - 3/2 sin(11/7 - 11 t) - 41/20 sin(11/7 - 7 t) - 7/6 sin(3/2 - 6 t) - 26/9 sin(11/7 - 5 t) - 1/4 sin(3/2 - 4 t) + 73/9 sin(t + 8/5) + 14/5 sin(2 t + 8/5) + 13/3 sin(3 t + 8/5) + sin(8 t + 5/3) + 35/6 sin(9 t + 8/5) + 7/8 sin(10 t + 14/3) + 1/4 sin(14 t + 5/4) + 2/3 sin(17 t + 5/3) + 5/6 sin(18 t + 8/5) + 3/7 sin(23 t + 8/5) - 2238/5) θ(55 π - t) θ(t - 51 π) + (-5/4 sin(3/4 - 6 t) + 11/3 sin(t + 7/5) + 8/7 sin(2 t + 2) + 9/5 sin(3 t + 2/7) + 74/15 sin(4 t + 10/3) + 34/7 sin(5 t + 16/5) + 6/5 sin(7 t + 11/4) + 1/5 sin(8 t + 9/5) + 1/3 sin(9 t + 7/8) + 1/3 sin(10 t + 5/2) + 494/3) θ(51 π - t) θ(t - 47 π) + (-11/5 sin(1/5 - 9 t) - 5/3 sin(7/5 - 5 t) - 7/5 sin(1/4 - 2 t) + 17/9 sin(t + 5/4) + 1/5 sin(3 t + 3/4) + 13/5 sin(4 t + 14/3) + 12/5 sin(6 t + 2/5) + 116/23 sin(7 t + 18/5) + 65/11 sin(8 t + 13/4) + 5/6 sin(10 t + 15/4) + 1909/12) θ(47 π - t) θ(t - 43 π) + (-1/2 sin(5/6 - 6 t) - 11/4 sin(1/3 - 3 t) - 4/5 sin(1/5 - 2 t) - 142/5 sin(1/3 - t) + 1/2 sin(4 t + 6/5) + 1/5 sin(5 t + 4/5) + 1117/7) θ(43 π - t) θ(t - 39 π) + (-2/3 sin(8/7 - 5 t) - 10/3 sin(6/7 - 3 t) - 513/16 sin(4/7 - t) + 1/3 sin(2 t + 7/3) + 1/3 sin(4 t + 52/17) + 3/7 sin(6 t + 5/3) + 1241/8) θ(39 π - t) θ(t - 35 π) + (45/2 sin(t + 20/7) + 44/5 sin(2 t + 41/10) + 12/5 sin(3 t + 1/3) + 32/11 sin(4 t + 29/7) + 7/4 sin(5 t + 5/3) + 10/7 sin(6 t + 9/2) + sin(7 t + 33/16) + 1/2 sin(8 t + 15/4) + 4/7 sin(9 t + 7/2) + 1/4 sin(10 t + 97/24) + 1825/12) θ(35 π - t) θ(t - 31 π) + (-8/5 sin(13/12 - 10 t) - 29/15 sin(4/3 - 8 t) - 3/4 sin(11/12 - 7 t) - 11/5 sin(1 - 6 t) - 11/3 sin(4/3 - 4 t) + 18/7 sin(3 t) + 79/3 sin(t + 32/11) + 73/6 sin(2 t + 43/11) + 4/5 sin(5 t + 9/2) + 6/7 sin(9 t + 23/5) + 597/4) θ(31 π - t) θ(t - 27 π) + (-6/7 sin(4/5 - 8 t) - 10/11 sin(1/3 - 7 t) - 13/6 sin(1/5 - 6 t) - 18/5 sin(1/4 - 5 t) + 173/6 sin(t + 25/8) + 44/5 sin(2 t + 15/7) + 109/18 sin(3 t + 12/5) + 4 sin(4 t + 22/5) + 2/3 sin(9 t + 32/7) + 5/7 sin(10 t + 17/4) - 1789/4) θ(27 π - t) θ(t - 23 π) + (-17/9 sin(3/5 - 5 t) + 443/5 sin(t + 22/7) + 55/3 sin(2 t + 11/4) + 17/5 sin(3 t + 35/12) + 47/12 sin(4 t + 23/7) + 9/8 sin(6 t + 2) + 10/11 sin(7 t + 2/5) + 10/9 sin(8 t + 12/5) + 9/8 sin(9 t + 33/7) + 5/7 sin(10 t + 14/3) - 2771/6) θ(23 π - t) θ(t - 19 π) + (-100/9 sin(5/6 - 3 t) - 1046/5 sin(1/3 - t) + 276/25 sin(2 t + 3/5) + 11/5 sin(4 t + 10/3) + 17/4 sin(5 t + 3/2) + 13/12 sin(6 t + 17/5) + 748/5) θ(19 π - t) θ(t - 15 π) + (-89/6 sin(6/7 - 3 t) + 1445/7 sin(t + 19/5) + 151/15 sin(2 t + 17/6) + 19/6 sin(4 t + 9/8) + 34/11 sin(5 t + 13/4) + sin(6 t + 16/5) + 443/3) θ(15 π - t) θ(t - 11 π) + (-16/15 sin(1/3 - 13 t) - 17/7 sin(5/4 - 10 t) - 9 sin(1/4 - 9 t) - 1079/15 sin(20/19 - 3 t) - 91/3 sin(3/2 - 2 t) + 21/11 sin(16 t) + 464/3 sin(t + 18/5) + 457/5 sin(4 t + 22/5) + 175/11 sin(5 t + 11/3) + 41/3 sin(6 t + 22/21) + 58/5 sin(7 t + 11/4) + 25/3 sin(8 t + 1/3) + 115/19 sin(11 t + 9/4) + 51/13 sin(12 t + 32/7) + 23/4 sin(14 t + 1) + 8/9 sin(15 t + 13/4) + 675/4) θ(11 π - t) θ(t - 7 π) + (-44/3 sin(1/3 - 10 t) - 41/3 sin(4/5 - 8 t) - 558/13 sin(1/5 - 6 t) - 498/5 sin(3/7 - t) + 2033/16 sin(2 t) + 1113/8 sin(3 t + 18/7) + 529/6 sin(4 t + 1/5) + 111/7 sin(5 t + 1) + 131/6 sin(7 t + 26/9) + 22 sin(9 t + 93/23) + 23/8 sin(11 t + 17/5) + 116/7 sin(12 t + 3/7) + 39/4 sin(13 t + 13/4) + 31/8 sin(14 t + 1/4) + 31/3 sin(15 t + 17/5) - 591/5) θ(7 π - t) θ(t - 3 π) + (-25/13 sin(2/3 - 10 t) + 107/5 sin(5 t) + 7143/7 sin(t + 7/2) + 229/5 sin(2 t + 13/4) + 34 sin(3 t + 7/5) + 144/5 sin(4 t + 13/12) + 56/3 sin(6 t + 23/5) + 21/2 sin(7 t + 23/5) + 26/5 sin(8 t + 12/5) + 11 sin(9 t + 13/5) + 6 sin(11 t + 6/7) + 23/5 sin(12 t + 32/7) + 8/3 sin(13 t + 2/3) + 22/7 sin(14 t + 11/3) + 3/7 sin(15 t + 15/4) + 5/2 sin(16 t + 11/6) + 19/9 sin(17 t + 4/3) - 124) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

金正恩

x(t) = ((7723/28 sin(t + 11/7) + 53/41 sin(2 t + 44/23) + 1389/44 sin(3 t + 65/41) + 11/12 sin(4 t + 87/46) + 657/58 sin(5 t + 27/17) + 7/13 sin(6 t + 42/23) - 3703/5) θ(91 π - t) θ(t - 87 π) + (-1181/32 sin(113/75 - 31 t) - 1200/37 sin(17/11 - 29 t) - 232/21 sin(38/25 - 27 t) - 3/7 sin(24/19 - 25 t) - 35/31 sin(77/51 - 18 t) - 111/34 sin(31/20 - 16 t) - 251/42 sin(52/35 - 13 t) - 83/31 sin(27/19 - 11 t) - 87/16 sin(82/53 - 8 t) - 53/40 sin(58/57 - 5 t) + 23662/17 sin(t + 47/30) + 5643/34 sin(2 t + 14/9) + 426/19 sin(3 t + 107/23) + 2125/33 sin(4 t + 64/41) + 184/65 sin(6 t + 208/45) + 444/53 sin(7 t + 47/10) + 379/33 sin(9 t + 54/35) + 117/37 sin(10 t + 40/29) + 379/28 sin(12 t + 11/7) + 344/29 sin(14 t + 17/11) + 95/21 sin(15 t + 243/52) + 88/31 sin(17 t + 41/26) + 11/26 sin(19 t + 9/7) + 147/20 sin(20 t + 58/39) + 67/37 sin(21 t + 39/29) + 46/15 sin(22 t + 81/61) + 147/55 sin(23 t + 48/31) + 119/30 sin(24 t + 42/29) + 230/39 sin(26 t + 125/78) + 724/35 sin(28 t + 8/5) + 529/15 sin(30 t + 13/8) + 1033/27 sin(32 t + 35/22) + 749/25 sin(33 t + 127/27) + 269/28 sin(34 t + 29/20) + 960/67 sin(35 t + 65/41) + 1004/31 sin(36 t + 201/43) + 89/4 sin(37 t + 17/11) + 12/5 sin(38 t + 23/27) + 311/21 sin(39 t + 91/20) + 1546/91 sin(40 t + 124/83) + 257/16 sin(41 t + 43/33) + 252/29 sin(42 t + 23/17) + 53/28 sin(43 t + 463/109) + 361/24 sin(44 t + 105/23) + 346/23 sin(45 t + 157/35) + 136/11 sin(46 t + 127/28) - 27174/47) θ(87 π - t) θ(t - 83 π) + (-625/134 sin(50/33 - 11 t) - 134/35 sin(28/19 - 6 t) - 1233/23 sin(69/44 - 5 t) + 22727/13 sin(t + 11/7) + 3219/22 sin(2 t + 11/7) + 4465/31 sin(3 t + 245/52) + 515/23 sin(4 t + 21/13) + 207/25 sin(7 t + 20/13) + 133/34 sin(8 t + 102/65) + 10/41 sin(9 t + 149/41) + 91/30 sin(10 t + 19/12) + 303/49 sin(12 t + 36/23) + 142/25 sin(13 t + 47/10) - 10065/17) θ(83 π - t) θ(t - 79 π) + (-49/15 sin(53/35 - 11 t) - 33/14 sin(43/28 - 10 t) - 11/42 sin(31/27 - 7 t) - 472/31 sin(53/34 - 6 t) + 327/14 sin(t + 85/54) + 859/34 sin(2 t + 19/12) + 2019/37 sin(3 t + 49/31) + 138/31 sin(4 t + 61/37) + 414/29 sin(5 t + 63/40) + 181/42 sin(8 t + 55/34) + 138/17 sin(9 t + 8/5) + 761/18) θ(79 π - t) θ(t - 75 π) + (4567/29 sin(t + 41/26) + 7/15 sin(2 t + 82/35) + 477/29 sin(3 t + 41/26) + 12/29 sin(4 t + 745/186) + 163/27 sin(5 t + 63/40) + 13073/28) θ(75 π - t) θ(t - 71 π) + (5903/29 sin(t + 11/7) + 394/31 sin(2 t + 11/7) + 520/31 sin(3 t + 11/7) + 79/28 sin(4 t + 63/40) + 17021/39) θ(71 π - t) θ(t - 67 π) + (-115/18 sin(36/23 - 5 t) - 151/66 sin(91/58 - 4 t) - 102/5 sin(36/23 - 3 t) - 71/23 sin(37/24 - 2 t) - 5383/26 sin(80/51 - t) - 24031/36) θ(67 π - t) θ(t - 63 π) + (3197/12 sin(t + 11/7) + 149/28 sin(2 t + 47/30) + 369/17 sin(3 t + 102/65) + 93/34 sin(4 t + 47/10) + 399/47 sin(5 t + 52/33) + 13/14 sin(6 t + 27/17) - 9119/13) θ(63 π - t) θ(t - 59 π) + (7267/30 sin(t + 49/31) + 382/35 sin(2 t + 66/41) + 669/23 sin(3 t + 46/29) + 19/15 sin(4 t + 55/12) + 349/30 sin(5 t + 99/62) + 36/31 sin(6 t + 125/27) + 203/51 sin(7 t + 61/38) + 17/25 sin(8 t + 59/32) + 227/53 sin(9 t + 31/19) + 151/113 sin(10 t + 40/23) + 43/11 sin(11 t + 28/17) + 64/51 sin(12 t + 56/31) + 171/47 sin(13 t + 93/56) + 60/49 sin(14 t + 89/51) + 5/32 sin(15 t + 65/43) + 55/24 sin(16 t + 41/24) + 47/24 sin(17 t + 47/27) + 9818/19) θ(59 π - t) θ(t - 55 π) + (-55/49 sin(53/36 - 19 t) - 29/21 sin(119/79 - 18 t) - 59/32 sin(46/31 - 17 t) - 99/38 sin(50/33 - 16 t) - 350/13 sin(61/39 - 4 t) - 1598/31 sin(58/37 - 2 t) + 4376/15 sin(t + 85/54) + 867/40 sin(3 t + 11/7) + 55/56 sin(5 t + 48/37) + 67/15 sin(6 t + 146/31) + 193/38 sin(7 t + 14/9) + 213/41 sin(8 t + 101/63) + 476/25 sin(9 t + 27/17) + 301/31 sin(10 t + 59/37) + 223/29 sin(11 t + 19/12) + 73/22 sin(12 t + 46/29) + 83/14 sin(13 t + 62/39) + 34/11 sin(14 t + 65/41) + 22/21 sin(15 t + 20/13) - 15465/26) θ(55 π - t) θ(t - 51 π) + (-247/141 sin(43/28 - 22 t) - 412/37 sin(25/16 - 5 t) - 744/97 sin(59/38 - 2 t) + 10838/37 sin(t + 11/7) + 677/28 sin(3 t + 113/24) + 452/21 sin(4 t + 146/31) + 1343/64 sin(6 t + 65/41) + 2125/41 sin(7 t + 146/31) + 299/32 sin(8 t + 89/19) + 97/9 sin(9 t + 113/24) + 40/11 sin(10 t + 47/30) + 55/24 sin(11 t + 68/43) + 61/73 sin(12 t + 211/45) + 177/178 sin(13 t + 35/24) + 221/36 sin(14 t + 11/7) + 179/33 sin(15 t + 212/45) + 7/39 sin(16 t + 105/59) + 20/31 sin(17 t + 93/20) + 11/37 sin(18 t + 64/39) + 211/39 sin(19 t + 127/27) + 145/44 sin(20 t + 43/27) + 38/27 sin(21 t + 59/39) + 52/21 sin(23 t + 36/23) + 125/29 sin(24 t + 71/46) + 809/56) θ(51 π - t) θ(t - 47 π) + (5286/17 sin(t + 85/54) + 47/43 sin(2 t + 52/31) + 367/12 sin(3 t + 41/26) + 1/10 sin(4 t + 39/11) + 481/46 sin(5 t + 30/19) + 1/6 sin(6 t + 291/145) + 768/25) θ(47 π - t) θ(t - 43 π) + (11034/23 sin(t + 74/47) + 19/17 sin(2 t + 107/71) + 1511/34 sin(3 t + 30/19) + 16/17 sin(4 t + 55/31) + 531/37 sin(5 t + 19/12) - 1724/33) θ(43 π - t) θ(t - 39 π) + (-19/34 sin(1/9 - 12 t) - 7/13 sin(23/20 - 10 t) - 70/33 sin(7/11 - 6 t) - 149/18 sin(4/19 - t) + 55/14 sin(2 t + 91/32) + 319/26 sin(3 t + 18/37) + 200/17 sin(4 t + 10/27) + 287/72 sin(5 t + 128/41) + 43/37 sin(7 t + 75/23) + 11/19 sin(8 t + 15/59) + 6/25 sin(9 t + 143/46) + 27/37 sin(11 t + 43/11) + 13813/23) θ(39 π - t) θ(t - 35 π) + (-7/37 sin(5/27 - 11 t) - 127/51 sin(15/29 - 6 t) - 133/11 sin(61/46 - 2 t) + 401/41 sin(t + 138/31) + 147/25 sin(3 t + 33/31) + 293/37 sin(4 t + 13/32) + 91/37 sin(5 t + 148/33) + 13/28 sin(7 t + 81/34) + 40/39 sin(8 t + 99/23) + 7/19 sin(9 t + 7/6) + 11/35 sin(10 t + 127/53) + 5/27 sin(12 t + 17/27) - 11777/22) θ(35 π - t) θ(t - 31 π) + (-53/34 sin(5/19 - 5 t) + 2234/23 sin(t + 27/23) + 25/23 sin(2 t + 177/43) + 182/23 sin(3 t + 17/42) + 7/16 sin(4 t + 115/27) + 8/23 sin(6 t + 101/26) + 6/19 sin(7 t + 9/53) + 34702/59) θ(31 π - t) θ(t - 27 π) + (-7/12 sin(7/19 - 5 t) - 34/7 sin(5/33 - 3 t) + 425/6 sin(t + 104/103) + 232/45 sin(2 t + 74/17) + 52/15 sin(4 t + 128/33) + 57/37 sin(6 t + 32/9) + 69/55 sin(7 t + 23/38) + 16/23 sin(8 t + 65/17) + 29/20 sin(9 t + 12/61) - 32214/61) θ(27 π - t) θ(t - 23 π) + (-54/25 sin(22/65 - 7 t) - 151/31 sin(14/9 - 5 t) - 59/31 sin(15/22 - 4 t) + 2245/13 sin(t + 85/39) + 78/29 sin(2 t + 180/47) + 187/12 sin(3 t + 143/42) + 37/24 sin(6 t + 24/29) + 29/18 sin(8 t + 297/148) + 12981/25) θ(23 π - t) θ(t - 19 π) + (20302/83 sin(t + 61/38) + 88/21 sin(2 t + 73/20) + 843/37 sin(3 t + 61/37) + 199/40 sin(4 t + 274/71) + 1499/214 sin(5 t + 41/22) + 185/46 sin(6 t + 190/49) + 177/52 sin(7 t + 41/19) + 83/28 sin(8 t + 61/16) + 51/23 sin(9 t + 85/37) - 35861/55) θ(19 π - t) θ(t - 15 π) + (-13/7 sin(9/26 - 7 t) - 232/25 sin(35/26 - 6 t) - 218/13 sin(51/46 - 4 t) - 625/33 sin(8/21 - 2 t) + 8695/24 sin(t + 21/16) + 507/20 sin(3 t + 24/23) + 349/40 sin(5 t + 13/35) + 101/14 sin(8 t + 106/23) + 627/32) θ(15 π - t) θ(t - 11 π) + (-24/17 sin(38/37 - 12 t) - 22/23 sin(31/26 - 10 t) - 76/11 sin(3/19 - 6 t) + 1683/35 sin(t + 100/29) + 371/8 sin(2 t + 19/21) + 2807/108 sin(3 t + 27/11) + 33/5 sin(4 t + 3249/812) + 47/5 sin(5 t + 81/26) + 583/61 sin(7 t + 17/8) + 83/24 sin(8 t + 111/31) + 74/43 sin(9 t + 30/13) + 180/77 sin(11 t + 60/31) + 22424/19) θ(11 π - t) θ(t - 7 π) + (-38/17 sin(1 - 15 t) - 21/25 sin(4/11 - 14 t) - 755/53 sin(178/177 - 7 t) - 1572/71 sin(5/33 - 6 t) - 421/29 sin(11/28 - 5 t) + 755/11 sin(t + 4/49) + 4941/22 sin(2 t + 132/43) + 737/13 sin(3 t + 122/31) + 804/23 sin(4 t + 117/35) + 17/4 sin(8 t + 69/32) + 173/35 sin(9 t + 9/20) + 147/92 sin(10 t + 82/21) + 77/24 sin(11 t + 44/19) + 117/46 sin(12 t + 23/36) + 198/113 sin(13 t + 64/65) + 155/37 sin(16 t + 84/23) + 158/53 sin(17 t + 52/31) - 44836/23) θ(7 π - t) θ(t - 3 π) + (-809/56 sin(10/13 - 10 t) - 1696/33 sin(25/32 - 6 t) + 73729/47 sin(t + 104/41) + 1310/77 sin(2 t + 117/28) + 1029/11 sin(3 t + 37/27) + 462/13 sin(4 t + 89/28) + 1821/52 sin(5 t + 25/31) + 1362/49 sin(7 t + 49/15) + 801/38 sin(8 t + 29/17) + 1005/34 sin(9 t + 23/36) + 343/47 sin(11 t + 101/34) + 85/18 sin(12 t + 117/58) + 143/16 sin(13 t + 19/11) + 142/47 sin(14 t + 49/43) + 43/18 sin(15 t + 19/25) + 109/29 sin(16 t + 193/43) + 163/38 sin(17 t + 27/10) + 62/23 sin(18 t + 1/3) + 35/32 sin(19 t + 1/5) - 3965/12) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-68/35 sin(47/30 - 6 t) + 2695/27 sin(t + 11/7) + 291/50 sin(2 t + 169/36) + 197/26 sin(3 t + 19/12) + 22/7 sin(4 t + 47/10) + 46/17 sin(5 t + 74/47) + 44329/39) θ(91 π - t) θ(t - 87 π) + (-216/37 sin(3/2 - 46 t) - 776/69 sin(23/16 - 29 t) + 232 sin(t + 74/47) + 14683/30 sin(2 t + 113/24) + 919/24 sin(3 t + 139/30) + 2538/19 sin(4 t + 80/17) + 257/6 sin(5 t + 159/34) + 1171/36 sin(6 t + 103/22) + 722/25 sin(7 t + 481/103) + 1191/37 sin(8 t + 285/61) + 201/28 sin(9 t + 50/11) + 505/24 sin(10 t + 201/43) + 158/47 sin(11 t + 114/25) + 47/20 sin(12 t + 129/29) + 341/29 sin(13 t + 218/47) + 243/38 sin(14 t + 331/72) + 226/25 sin(15 t + 163/35) + 99/17 sin(16 t + 129/28) + 62/7 sin(17 t + 218/47) + 363/64 sin(18 t + 114/25) + 24/11 sin(19 t + 191/43) + 27/11 sin(20 t + 25/18) + 5/14 sin(21 t + 106/23) + 12/25 sin(22 t + 113/25) + 8/19 sin(23 t + 104/29) + 36/13 sin(24 t + 105/23) + 31/14 sin(25 t + 87/62) + 61/7 sin(26 t + 30/19) + 843/37 sin(27 t + 187/40) + 37/3 sin(28 t + 61/36) + 455/41 sin(30 t + 18/11) + 1741/81 sin(31 t + 193/42) + 92/19 sin(32 t + 39/29) + 639/35 sin(33 t + 66/47) + 516/29 sin(34 t + 9/2) + 644/29 sin(35 t + 157/34) + 992/29 sin(36 t + 51/35) + 274/37 sin(37 t + 113/24) + 650/29 sin(38 t + 119/26) + 919/75 sin(39 t + 57/35) + 279/22 sin(40 t + 215/47) + 106/19 sin(41 t + 33/23) + 1133/27 sin(42 t + 15/11) + 95/12 sin(43 t + 58/49) + 829/21 sin(44 t + 103/23) + 1163/33 sin(45 t + 67/15) + 36758/23) θ(87 π - t) θ(t - 83 π) + (-129/22 sin(20/13 - 13 t) - 5665/177 sin(14/9 - 12 t) - 325/24 sin(39/25 - 10 t) - 197/36 sin(37/25 - 9 t) - 8197/169 sin(39/25 - 8 t) - 1357/32 sin(54/35 - 6 t) - 1654/63 sin(53/35 - 5 t) - 3880/17 sin(53/34 - 4 t) - 749/111 sin(23/16 - 3 t) - 16653/19 sin(47/30 - 2 t) + 7619/27 sin(t + 11/7) + 191/18 sin(7 t + 131/87) + 41/11 sin(11 t + 20/13) + 60669/38) θ(83 π - t) θ(t - 79 π) + (-89/36 sin(23/15 - 11 t) - 392/107 sin(31/20 - 8 t) - 55/39 sin(29/19 - 7 t) - 1/19 sin(17/31 - 4 t) + 733/35 sin(t + 11/7) + 132/13 sin(2 t + 179/38) + 19/21 sin(3 t + 20/13) + 166/51 sin(5 t + 113/24) + 22/9 sin(6 t + 41/26) + 19/25 sin(9 t + 91/58) + 1/8 sin(10 t + 63/41) - 45378/47) θ(79 π - t) θ(t - 75 π) + (93/20 sin(t + 146/31) + 434/33 sin(2 t + 49/31) + 7/30 sin(3 t + 83/42) + 168/37 sin(4 t + 46/29) + 26/15 sin(5 t + 49/30) + 11673/37) θ(75 π - t) θ(t - 71 π) + (-3167/264 sin(113/72 - 4 t) - 2099/47 sin(91/58 - 2 t) + 1711/26 sin(t + 11/7) + 16/7 sin(3 t + 80/51) + 526) θ(71 π - t) θ(t - 67 π) + (-157/14 sin(11/7 - t) + 1076/57 sin(2 t + 96/61) + 90/17 sin(3 t + 245/52) + 371/59 sin(4 t + 74/47) + 43/13 sin(5 t + 212/45) + 2470/9) θ(67 π - t) θ(t - 63 π) + (-111/23 sin(36/23 - 6 t) - 534/37 sin(11/7 - 4 t) - 280/27 sin(58/37 - 3 t) - 1763/24 sin(91/58 - 2 t) + 1721/30 sin(t + 11/7) + 5/18 sin(5 t + 50/33) + 20280/41) θ(63 π - t) θ(t - 59 π) + (-47/22 sin(37/25 - 15 t) - 81/20 sin(85/57 - 11 t) - 101/11 sin(58/39 - 8 t) - 37/17 sin(32/21 - 7 t) - 681/49 sin(55/36 - 5 t) - 172/27 sin(43/28 - 4 t) - 290/19 sin(48/31 - 3 t) - 1181/23 sin(45/29 - 2 t) - 817/31 sin(39/25 - t) + 27/22 sin(6 t + 44/27) + 78/17 sin(9 t + 82/49) + 2375/396 sin(10 t + 33/20) + 171/172 sin(12 t + 57/37) + 38/25 sin(13 t + 49/27) + 65/97 sin(14 t + 65/43) + 10/19 sin(16 t + 33/28) + 19/8 sin(17 t + 20/11) + 24535/32) θ(59 π - t) θ(t - 55 π) + (-111/40 sin(47/30 - 18 t) - 245/57 sin(38/25 - 17 t) - 91/25 sin(49/32 - 15 t) - 73/13 sin(48/31 - 14 t) - 25/34 sin(14/9 - 11 t) - 329/25 sin(59/38 - 10 t) - 169/17 sin(17/11 - 7 t) - 353/32 sin(102/65 - 4 t) - 667/28 sin(58/37 - 2 t) - 205/64 sin(39/25 - t) + 265/21 sin(3 t + 52/33) + 341/23 sin(5 t + 49/31) + 123/22 sin(6 t + 146/31) + 25/28 sin(8 t + 78/17) + 54/13 sin(9 t + 49/31) + 195/71 sin(12 t + 113/24) + 109/36 sin(13 t + 21/13) + 97/23 sin(16 t + 60/37) + 387/41 sin(19 t + 13/8) + 60061/78) θ(55 π - t) θ(t - 51 π) + (-8/13 sin(13/9 - 21 t) - 130/27 sin(58/37 - 18 t) - 29/36 sin(47/33 - 13 t) - 37/46 sin(48/31 - 12 t) - 1315/116 sin(11/7 - 10 t) - 269/48 sin(67/45 - 5 t) + 377/48 sin(t + 25/16) + 2631/32 sin(2 t + 91/58) + 213/37 sin(3 t + 65/43) + 2435/26 sin(4 t + 91/58) + 2290/37 sin(6 t + 91/58) + 243/56 sin(7 t + 128/85) + 193/33 sin(8 t + 11/7) + 103/27 sin(9 t + 201/43) + 74/21 sin(11 t + 46/29) + 269/20 sin(14 t + 61/39) + 84/17 sin(15 t + 67/44) + 187/26 sin(16 t + 67/43) + 37/36 sin(17 t + 145/31) + 26/43 sin(19 t + 21/13) + 65/27 sin(20 t + 25/16) + 15/4 sin(22 t + 14/9) + 239/47 sin(23 t + 45/29) + 60/19 sin(24 t + 45/29) - 5923/29) θ(51 π - t) θ(t - 47 π) + (-80/17 sin(25/16 - 6 t) - 63/37 sin(55/36 - 5 t) - 191/14 sin(25/16 - 4 t) - 473/14 sin(47/30 - 2 t) + 533/30 sin(t + 11/7) + 1/13 sin(3 t + 27/32) - 16505/22) θ(47 π - t) θ(t - 43 π) + (-815/28 sin(47/30 - t) + 1335/16 sin(2 t + 41/26) + 64/11 sin(3 t + 46/29) + 757/32 sin(4 t + 68/43) + 4 sin(5 t + 113/24) - 36881/23) θ(43 π - t) θ(t - 39 π) + (-26/53 sin(17/23 - 11 t) - 19/44 sin(1/32 - 10 t) - 7/37 sin(58/37 - 9 t) - 14/15 sin(33/25 - 7 t) - 67/15 sin(31/20 - 5 t) + 215/31 sin(t + 54/43) + 32/27 sin(2 t + 59/21) + 154/23 sin(3 t + 34/15) + 584/57 sin(4 t + 41/22) + 38/33 sin(6 t + 22/19) + 2/3 sin(8 t + 62/45) + 7/18 sin(12 t + 35/23) + 7953/17) θ(39 π - t) θ(t - 35 π) + (-6/17 sin(68/47 - 9 t) - 35/44 sin(18/55 - 8 t) - 67/22 sin(27/44 - 5 t) - 203/23 sin(3/37 - t) + 9 sin(2 t + 23/47) + 103/25 sin(3 t + 165/68) + 259/29 sin(4 t + 73/38) + 84/29 sin(6 t + 29/32) + 25/28 sin(7 t + 87/19) + 42/85 sin(10 t + 249/71) + 4/23 sin(11 t + 135/29) + 7/48 sin(12 t + 7/3) + 10276/23) θ(35 π - t) θ(t - 31 π) + (-5/14 sin(13/17 - 7 t) - 13/8 sin(131/87 - 5 t) - 229/28 sin(13/16 - 3 t) - 2634/49 sin(7/17 - t) + 17/5 sin(2 t + 52/17) + 45/26 sin(4 t + 83/36) + 78/41 sin(6 t + 19/6) + 8830/19) θ(31 π - t) θ(t - 27 π) + (-12/23 sin(8/33 - 9 t) - 27/29 sin(39/49 - 5 t) - 121/24 sin(36/35 - 3 t) - 2702/57 sin(9/22 - t) + 55/23 sin(2 t + 18/11) + 47/19 sin(4 t + 91/36) + 34/25 sin(6 t + 81/37) + 24/31 sin(7 t + 8/25) + 19/21 sin(8 t + 251/94) + 16837/38) θ(27 π - t) θ(t - 23 π) + (-702/41 sin(9/53 - 2 t) + 1334/25 sin(t + 43/60) + 52/9 sin(3 t + 61/30) + 49/12 sin(4 t + 57/50) + 95/29 sin(5 t + 73/24) + 55/31 sin(6 t + 277/139) + 41/25 sin(7 t + 195/44) + 17/31 sin(8 t + 118/33) + 4115/9) θ(23 π - t) θ(t - 19 π) + (-32/37 sin(5/13 - 7 t) - 19/14 sin(37/29 - 6 t) - 181/43 sin(17/29 - 5 t) - 116/19 sin(19/20 - 4 t) - 851/112 sin(8/35 - 3 t) - 810/43 sin(37/34 - 2 t) + 22996/315 sin(t + 5/22) + 11/38 sin(8 t + 55/24) + 42/67 sin(9 t + 21/104) + 15503/38) θ(19 π - t) θ(t - 15 π) + (1495/9 sin(t + 160/59) + 1581/32 sin(2 t + 169/42) + 155/14 sin(3 t + 1/311) + 340/29 sin(4 t + 103/24) + 121/29 sin(5 t + 213/56) + 330/47 sin(6 t + 84/23) + 107/40 sin(7 t + 13/22) + 121/32 sin(8 t + 78/25) - 12502/17) θ(15 π - t) θ(t - 11 π) + (-220/63 sin(12/29 - 11 t) - 158/29 sin(1/32 - 7 t) - 908/31 sin(32/29 - t) + 7584/23 sin(2 t + 31/23) + 371/32 sin(3 t + 9/20) + 69/52 sin(4 t + 47/37) + 367/61 sin(5 t + 313/67) + 281/8 sin(6 t + 19/21) + 13/16 sin(8 t + 25/19) + 299/83 sin(9 t + 130/31) + 143/12 sin(10 t + 23/52) + 11/14 sin(12 t + 131/75) - 16133/45) θ(11 π - t) θ(t - 7 π) + (-29/24 sin(5/36 - 15 t) - 12/11 sin(1/14 - 10 t) - 484/57 sin(5/17 - 9 t) - 838/47 sin(5/38 - 8 t) - 11579/46 sin(31/38 - t) + 8148/29 sin(2 t + 10/23) + 710/7 sin(3 t + 197/45) + 670/17 sin(4 t + 73/24) + 534/31 sin(5 t + 143/40) + 294/17 sin(6 t + 202/43) + 190/51 sin(7 t + 17/10) + 413/86 sin(11 t + 13/14) + 95/31 sin(12 t + 247/72) + 210/47 sin(13 t + 32/19) + 13/38 sin(14 t + 27/28) + 19/20 sin(16 t + 34/11) + 19/18 sin(17 t + 8/21) - 4709/11) θ(7 π - t) θ(t - 3 π) + (-128/17 sin(8/17 - 12 t) - 289/20 sin(19/25 - 8 t) - 156/67 sin(5/24 - 6 t) - 671/19 sin(19/44 - 4 t) - 1207/30 sin(1/384 - 3 t) + 70848/37 sin(t + 17/18) + 2983/45 sin(2 t + 89/39) + 545/18 sin(5 t + 61/26) + 353/15 sin(7 t + 19/24) + 251/36 sin(9 t + 49/15) + 355/59 sin(10 t + 80/39) + 459/32 sin(11 t + 40/33) + 16/21 sin(13 t + 790/263) + 73/38 sin(14 t + 43/13) + 59/19 sin(15 t + 38/21) + 27/16 sin(16 t + 124/33) + 199/48 sin(17 t + 56/29) + 97/40 sin(18 t + 19/30) + 8/7 sin(19 t + 29/28) - 17606/75) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))

歴史

アルベルト・アインシュタイン(Albert Einstein)

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

リンカーン(Lincoln)

x(t) = ((-11/6 sin(69/44 - 3 t) - 111/5 sin(69/44 - t) + 55/24 sin(2 t + 118/75) + 32/43 sin(4 t + 91/58) + 4249/31) θ(111 π - t) θ(t - 107 π) + (-583/30 sin(80/51 - 2 t) + 11969/315 sin(t + 11/7) - 835/32) θ(107 π - t) θ(t - 103 π) + (-63/79 sin(29/19 - 78 t) - 16/13 sin(31/27 - 76 t) - 73/47 sin(22/19 - 75 t) - 5/4 sin(23/20 - 73 t) - 25/62 sin(15/17 - 72 t) - 125/37 sin(16/13 - 66 t) - 17/15 sin(53/41 - 63 t) - 38/27 sin(51/40 - 60 t) - 9/17 sin(50/37 - 58 t) - 74/19 sin(41/31 - 55 t) - 77/38 sin(47/36 - 53 t) - 590/131 sin(13/10 - 52 t) - 317/36 sin(31/24 - 50 t) - 171/37 sin(49/38 - 49 t) - 339/59 sin(34/25 - 47 t) - 79/29 sin(25/21 - 46 t) - 197/35 sin(15/11 - 45 t) - 236/235 sin(127/95 - 40 t) - 155/28 sin(65/49 - 36 t) - 259/30 sin(55/39 - 35 t) - 585/38 sin(63/44 - 33 t) - 193/27 sin(33/23 - 25 t) - 263/14 sin(41/29 - 24 t) - 449/34 sin(23/16 - 23 t) - 232/15 sin(34/23 - 18 t) - 194/33 sin(25/17 - 17 t) - 20/17 sin(37/30 - 16 t) - 86/23 sin(33/23 - 14 t) - 62/29 sin(26/17 - 13 t) - 50/37 sin(63/43 - 12 t) - 327/14 sin(67/43 - 3 t) - 258/13 sin(61/39 - 2 t) + 8497/25 sin(t + 41/26) + 1688/39 sin(4 t + 51/32) + 73/8 sin(5 t + 71/44) + 156/43 sin(6 t + 29/18) + 912/41 sin(7 t + 29/18) + 250/23 sin(8 t + 29/18) + 252/25 sin(9 t + 18/11) + 708/37 sin(10 t + 99/61) + 117/28 sin(11 t + 108/23) + 91/45 sin(15 t + 43/28) + 32/15 sin(19 t + 57/32) + 223/21 sin(20 t + 43/25) + 991/38 sin(21 t + 22/13) + 169/17 sin(22 t + 63/37) + 707/39 sin(26 t + 37/22) + 533/64 sin(27 t + 142/79) + 507/41 sin(28 t + 27/16) + 64/25 sin(29 t + 15/7) + 1203/55 sin(30 t + 115/67) + 328/69 sin(31 t + 187/40) + 175/43 sin(32 t + 35/23) + 168/23 sin(34 t + 23/14) + 56/23 sin(37 t + 47/25) + 46/27 sin(38 t + 68/37) + 9/23 sin(39 t + 216/47) + 137/21 sin(41 t + 75/41) + 62/29 sin(42 t + 72/41) + 31/25 sin(43 t + 49/26) + 94/33 sin(44 t + 51/29) + 4/13 sin(48 t + 21/29) + 43/14 sin(51 t + 42/23) + 41/32 sin(54 t + 46/27) + 107/19 sin(56 t + 11/6) + 32/25 sin(57 t + 33/17) + 569/142 sin(59 t + 87/46) + 32/35 sin(61 t + 25/12) + 165/62 sin(62 t + 54/29) + 61/26 sin(64 t + 27/14) + 47/29 sin(65 t + 71/38) + 38/29 sin(67 t + 57/29) + 195/61 sin(68 t + 79/41) + 5/24 sin(69 t + 86/27) + 49/27 sin(70 t + 47/25) + 17/26 sin(71 t + 98/47) + 31/33 sin(74 t + 56/31) + 85/36 sin(77 t + 67/34) - 4845/41) θ(103 π - t) θ(t - 99 π) + (-19/36 sin(57/37 - 80 t) - 6/31 sin(47/34 - 74 t) - 1/19 sin(13/33 - 62 t) - 1/16 sin(17/14 - 55 t) - 13/37 sin(40/29 - 54 t) - 1/22 sin(124/83 - 42 t) - 11/16 sin(36/23 - 41 t) - 7/19 sin(66/43 - 39 t) - 8/37 sin(34/23 - 35 t) - 3/8 sin(52/37 - 27 t) - 13/22 sin(39/25 - 26 t) - 11/18 sin(23/15 - 22 t) - 58/33 sin(14/9 - 18 t) - 159/43 sin(48/31 - 10 t) - 624/31 sin(69/44 - 6 t) - 5/2 sin(63/44 - 5 t) + 2348/61 sin(t + 68/43) + 7225/28 sin(2 t + 245/52) + 2225/43 sin(3 t + 212/45) + 347/21 sin(4 t + 62/39) + 154/29 sin(7 t + 69/44) + 114/29 sin(8 t + 23/15) + 85/38 sin(9 t + 18/11) + 17/35 sin(11 t + 18/11) + 25/21 sin(12 t + 53/32) + 83/45 sin(13 t + 146/97) + 27/23 sin(14 t + 146/31) + 21/41 sin(15 t + 44/31) + 45/56 sin(16 t + 59/38) + 71/37 sin(17 t + 23/14) + 73/45 sin(19 t + 131/28) + 82/25 sin(20 t + 43/27) + 5/9 sin(21 t + 51/32) + 19/67 sin(23 t + 172/37) + 11/34 sin(24 t + 29/18) + 59/29 sin(25 t + 20/13) + 37/39 sin(28 t + 37/24) + 3/25 sin(29 t + 149/34) + 10/29 sin(30 t + 59/42) + 109/87 sin(31 t + 155/33) + 5/18 sin(32 t + 59/38) + 6/37 sin(33 t + 43/31) + 26/41 sin(34 t + 45/29) + 9/17 sin(36 t + 113/24) + 10/33 sin(37 t + 69/40) + 1/69 sin(38 t + 77/34) + 7/25 sin(40 t + 9/2) + 13/34 sin(43 t + 49/30) + 7/30 sin(44 t + 37/27) + 29/37 sin(45 t + 102/65) + 3/13 sin(46 t + 59/40) + 22/41 sin(47 t + 81/56) + 2/5 sin(48 t + 73/43) + 11/41 sin(49 t + 48/31) + 13/18 sin(50 t + 131/28) + 11/31 sin(51 t + 133/29) + 7/22 sin(52 t + 37/24) + 42/85 sin(53 t + 61/13) + 5/12 sin(56 t + 48/31) + 6/23 sin(57 t + 47/30) + 22/41 sin(58 t + 289/62) + 9/35 sin(59 t + 36/23) + 3/7 sin(60 t + 128/77) + 11/43 sin(61 t + 68/47) + 11/25 sin(63 t + 29/18) + 12/17 sin(64 t + 32/21) + 9/32 sin(65 t + 91/58) + 5/41 sin(66 t + 59/33) + 2/15 sin(67 t + 59/13) + 5/32 sin(68 t + 42/25) + 6/19 sin(69 t + 35/23) + 7/39 sin(70 t + 32/21) + 1/19 sin(71 t + 199/100) + 1/16 sin(72 t + 42/31) + 3/37 sin(73 t + 145/34) + 2/27 sin(75 t + 19/13) + 30/61 sin(76 t + 77/48) + 4/11 sin(77 t + 15/11) + 8/63 sin(78 t + 163/37) + 9/20 sin(79 t + 66/43) + 7/36 sin(81 t + 29/17) - 2739/79) θ(99 π - t) θ(t - 95 π) + (-32/25 sin(63/41 - 8 t) - 31/12 sin(25/16 - 7 t) - 1121/65 sin(11/7 - 4 t) - 17902/351 sin(47/30 - 2 t) - 4054/43 sin(47/30 - t) + 3919/245 sin(3 t + 68/43) + 4/33 sin(5 t + 40/29) + 23/28 sin(6 t + 179/38) + 86/87 sin(9 t + 17/11) + 877/33) θ(95 π - t) θ(t - 91 π) + (-18/35 sin(37/27 - 13 t) - 34/39 sin(31/21 - 11 t) + 750/11 sin(t + 39/25) + 1497/28 sin(2 t + 61/13) + 187/30 sin(3 t + 31/20) + 158/25 sin(4 t + 236/157) + 157/34 sin(5 t + 144/31) + 82/25 sin(6 t + 103/22) + 42/29 sin(7 t + 107/23) + 157/37 sin(8 t + 70/47) + 68/53 sin(9 t + 113/24) + 15/31 sin(10 t + 58/33) + 65/38 sin(12 t + 67/43) + 4/15 sin(14 t + 113/29) + 29/40 sin(15 t + 164/35) + 17/22 sin(16 t + 32/21) + 5054/65) θ(91 π - t) θ(t - 87 π) + (-25/17 sin(36/23 - 4 t) - 132/35 sin(47/30 - 2 t) + 1548/55 sin(t + 11/7) + 181/43 sin(3 t + 11/7) + 76/77 sin(5 t + 58/37) + 3015/16) θ(87 π - t) θ(t - 83 π) + (-456/73 sin(69/44 - 3 t) - 1223/30 sin(69/44 - t) + 137/36 sin(2 t + 113/24) + 27/19 sin(4 t + 113/24) - 3135/29) θ(83 π - t) θ(t - 79 π) + (1048/9 sin(t + 68/43) + 179/134 sin(2 t + 48/17) + 9972/767 sin(3 t + 64/39) + 20/33 sin(4 t + 49/12) + 190/41 sin(5 t + 65/41) + 9/26 sin(6 t + 41/21) + 102/7) θ(79 π - t) θ(t - 75 π) + (-4/25 sin(9/16 - 12 t) - 16/53 sin(15/13 - 10 t) - 61/91 sin(9/34 - 8 t) - 31/22 sin(48/31 - 4 t) + 306/29 sin(t + 54/25) + 462/37 sin(2 t + 119/26) + 115/17 sin(3 t + 11/28) + 148/29 sin(5 t + 125/63) + 149/45 sin(6 t + 39/35) + 75/47 sin(7 t + 1/26) + 28/47 sin(9 t + 28/19) + 4/27 sin(11 t + 59/35) + 1871/10) θ(75 π - t) θ(t - 71 π) + (-2/11 sin(29/33 - 10 t) - 29/37 sin(17/24 - 7 t) + 297/28 sin(t + 104/49) + 167/13 sin(2 t + 167/38) + 73/13 sin(3 t + 19/77) + 15/14 sin(4 t + 46/21) + 174/35 sin(5 t + 43/25) + 128/37 sin(6 t + 43/57) + 1/4 sin(8 t + 39/22) + 22/35 sin(9 t + 25/24) + 11/36 sin(11 t + 71/25) + 2/27 sin(12 t + 47/16) - 2655/29) θ(71 π - t) θ(t - 67 π) + (-8/37 sin(13/32 - 22 t) - 41/165 sin(1/22 - 20 t) - 1/29 sin(11/15 - 16 t) - 43/65 sin(54/37 - 10 t) - 13/22 sin(41/61 - 8 t) - 40/31 sin(18/31 - 6 t) - 13/14 sin(13/15 - 4 t) - 31/15 sin(1/5 - 2 t) + 31917/404 sin(t + 49/34) + 289/32 sin(3 t + 65/41) + 44/19 sin(5 t + 23/17) + 6/7 sin(7 t + 73/31) + 17/16 sin(9 t + 59/27) + 14/47 sin(11 t + 19/6) + 30/37 sin(12 t + 208/47) + 20/29 sin(13 t + 67/27) + 9/16 sin(14 t + 99/34) + 16/39 sin(15 t + 55/24) + 5/22 sin(17 t + 188/43) + 5/19 sin(18 t + 41/9) + 11/40 sin(19 t + 124/37) + 2/25 sin(21 t + 45/34) + 5/32 sin(23 t + 24/7) + 3778/19) θ(67 π - t) θ(t - 63 π) + (-38/23 sin(31/30 - 5 t) - 6089/609 sin(54/41 - 3 t) - 981/10 sin(59/40 - t) + 319/38 sin(2 t + 94/31) + 37/13 sin(4 t + 22/7) + 59/30 sin(6 t + 81/28) + 36/29 sin(7 t + 163/36) + 23/28 sin(8 t + 327/98) + 5/39 sin(9 t + 15/7) + 23/58 sin(10 t + 41/25) + 7/24 sin(11 t + 49/31) + 15/32 sin(12 t + 34/15) + 47/95 sin(13 t + 20/17) + 8/17 sin(14 t + 52/35) + 13/59 sin(15 t + 46/19) + 2/9 sin(16 t + 76/27) + 7/33 sin(17 t + 77/30) + 8/33 sin(18 t + 23/19) + 1/24 sin(19 t + 13/43) + 1/10 sin(20 t + 44/43) + 1/14 sin(21 t + 42/67) + 11/37 sin(22 t + 34/45) + 7/33 sin(23 t + 15/49) + 11/56 sin(24 t + 20/19) + 3/19 sin(25 t + 3/2) - 4722/41) θ(63 π - t) θ(t - 59 π) + (-47/48 sin(26/17 - 23 t) - 43/27 sin(31/20 - 18 t) - 43/29 sin(19/29 - 16 t) - 1814/123 sin(9/34 - 7 t) - 1247/42 sin(8/37 - 6 t) - 1337/48 sin(75/56 - 5 t) - 73/2 sin(8/11 - 2 t) + 3153/17 sin(t + 106/35) + 1151/12 sin(3 t + 32/29) + 128/7 sin(4 t + 101/151) + 265/36 sin(8 t + 13/25) + 102/7 sin(9 t + 16/37) + 275/26 sin(10 t + 19/18) + 47/9 sin(11 t + 53/35) + 75/23 sin(12 t + 127/29) + 53/30 sin(13 t + 22/21) + 469/234 sin(14 t + 66/23) + 13/6 sin(15 t + 110/43) + 15/28 sin(17 t + 61/24) + 124/71 sin(19 t + 79/17) + 49/30 sin(20 t + 51/77) + 56/41 sin(21 t + 47/19) + 35/36 sin(22 t + 60/19) + 5509/16) θ(59 π - t) θ(t - 55 π) + (-65/17 sin(1/54 - 17 t) - 307/23 sin(4/33 - 7 t) - 259/23 sin(13/34 - 4 t) + 6386/39 sin(t + 1/4) + 416/11 sin(2 t + 142/31) + 373/8 sin(3 t + 22/23) + 593/15 sin(5 t + 53/40) + 706/23 sin(6 t + 43/14) + 134/23 sin(8 t + 107/25) + 432/41 sin(9 t + 8/37) + 446/105 sin(10 t + 59/19) + 206/29 sin(11 t + 1/14) + 93/23 sin(12 t + 103/26) + 164/29 sin(13 t + 13/24) + 227/35 sin(14 t + 49/15) + 121/29 sin(15 t + 12/35) + 211/34 sin(16 t + 45/14) + 76/61 sin(18 t + 70/23) + 365/71 sin(19 t + 11/40) - 15570/31) θ(55 π - t) θ(t - 51 π) + (-90/43 sin(5/23 - 7 t) - 70/37 sin(37/24 - 4 t) + 32270/213 sin(t + 17/84) + 557/19 sin(2 t + 26/9) + 630/97 sin(3 t + 77/26) + 61/20 sin(5 t + 2/33) + 164/25 sin(6 t + 177/62) + 1655/19) θ(51 π - t) θ(t - 47 π) + (-68/27 sin(3/7 - 4 t) + 1221/17 sin(t + 4/39) + 2043/95 sin(2 t + 3/37) + 221/35 sin(3 t + 5/22) + 29/24 sin(5 t + 197/49) + 64/37 sin(6 t + 165/53) + 5/24 sin(7 t + 99/26) - 7897/28) θ(47 π - t) θ(t - 43 π) + (-42/43 sin(3/17 - 7 t) - 101/39 sin(27/53 - 5 t) + 975/41 sin(t + 47/24) + 1084/27 sin(2 t + 67/19) + 205/26 sin(3 t + 49/23) + 117/50 sin(4 t + 3/17) + 30/13 sin(6 t + 29/33) + 27/32 sin(8 t + 211/49) + 337/169 sin(9 t + 73/24) + 759/14) θ(43 π - t) θ(t - 39 π) + (-345/19 sin(3/22 - t) + 181/20 sin(2 t + 23/11) + 226/43 sin(3 t + 25/32) + 9253/31) θ(39 π - t) θ(t - 35 π) + (-83/24 sin(47/30 - 8 t) - 2204/49 sin(29/22 - t) + 2369/45 sin(2 t + 29/27) + 613/34 sin(3 t + 5/9) + 529/31 sin(4 t + 11/29) + 160/21 sin(5 t + 75/16) + 143/32 sin(6 t + 106/39) + 63/22 sin(7 t + 23/35) - 17051/40) θ(35 π - t) θ(t - 31 π) + (-53/39 sin(11/8 - 6 t) + 2895/52 sin(t + 81/43) + 119/89 sin(2 t + 56/23) + 45/13 sin(3 t + 331/124) + 37/34 sin(4 t + 91/20) + 53/40 sin(5 t + 78/23) + 3107/17) θ(31 π - t) θ(t - 27 π) + (-36/71 sin(39/31 - 6 t) + 1938/29 sin(t + 36/19) + 38/25 sin(2 t + 35/19) + 82/27 sin(3 t + 303/121) + 32/97 sin(4 t + 43/12) + 29/20 sin(5 t + 148/43) + 25/27 sin(7 t + 230/53) - 5233/49) θ(27 π - t) θ(t - 23 π) + (-10/49 sin(25/22 - 4 t) - 6/13 sin(63/44 - 2 t) + 1383/32 sin(t + 52/33) + 15/4 sin(3 t + 53/31) + 82/55 sin(5 t + 23/14) + 9/38 sin(6 t + 159/34) + 6831/38) θ(23 π - t) θ(t - 19 π) + (-3/14 sin(5/4 - 8 t) - 9/19 sin(29/26 - 6 t) - 17/27 sin(47/70 - 4 t) - 29/51 sin(16/11 - 2 t) + 1899/38 sin(t + 62/41) + 236/51 sin(3 t + 67/45) + 80/47 sin(5 t + 26/19) + 27/32 sin(7 t + 17/13) + 30/59 sin(9 t + 19/20) - 4325/46) θ(19 π - t) θ(t - 15 π) + (8501/69 sin(t + 50/33) + 37/13 sin(2 t + 19/9) + 909/88 sin(3 t + 11/9) + 66/31 sin(4 t + 86/31) + 71/23 sin(5 t + 29/28) + 13/16 sin(6 t + 123/44) + 27/28 sin(7 t + 65/36) + 378/25) θ(15 π - t) θ(t - 11 π) + (-9/4 sin(5/22 - 15 t) + 10556/51 sin(t + 43/23) + 236/33 sin(2 t + 85/36) + 191/6 sin(3 t + 40/19) + 27/14 sin(4 t + 70/31) + 351/25 sin(5 t + 58/19) + 5/2 sin(6 t + 120/41) + 498/37 sin(7 t + 13/25) + 11/7 sin(8 t + 37/38) + 53/20 sin(9 t + 127/28) + 41/38 sin(10 t + 83/32) + 61/28 sin(11 t + 25/18) + 37/52 sin(12 t + 49/15) + 79/38 sin(13 t + 95/36) + 45/34 sin(14 t + 78/37) - 4623/32) θ(11 π - t) θ(t - 7 π) + (-76/25 sin(36/43 - 15 t) - 457/87 sin(22/21 - 11 t) - 241/29 sin(79/78 - 7 t) - 367/33 sin(35/43 - 6 t) - 210/31 sin(8/27 - 5 t) - 2611/62 sin(53/66 - 3 t) - 727/23 sin(16/31 - 2 t) + 8868/25 sin(t + 89/22) + 111/13 sin(4 t + 37/15) + 238/23 sin(8 t + 248/83) + 38/23 sin(9 t + 39/34) + 319/71 sin(10 t + 9/11) + 188/39 sin(12 t + 107/35) + 4/3 sin(13 t + 79/26) + 114/29 sin(14 t + 39/37) + 1273/636 sin(16 t + 83/27) - 24519/613) θ(7 π - t) θ(t - 3 π) + (-16/27 sin(3/29 - 46 t) - 1/2 sin(29/73 - 43 t) - 23/33 sin(22/29 - 41 t) - 17/28 sin(53/38 - 40 t) - 15/76 sin(18/53 - 39 t) - 9/40 sin(5/31 - 37 t) - 17/21 sin(13/35 - 35 t) - 11/30 sin(3/19 - 34 t) - 19/23 sin(17/18 - 33 t) - 22/27 sin(53/62 - 32 t) - 2/13 sin(49/32 - 31 t) - 7/17 sin(1/4 - 29 t) - 101/24 sin(11/17 - 17 t) - 69/44 sin(17/26 - 14 t) - 67/31 sin(40/33 - 9 t) - 109/8 sin(37/29 - 7 t) - 9/11 sin(11/37 - 6 t) - 834/25 sin(109/217 - 3 t) + 17191/38 sin(t + 69/31) + 2406/35 sin(2 t + 29/26) + 634/27 sin(4 t + 7/9) + 153/10 sin(5 t + 73/18) + 27/16 sin(8 t + 21/17) + 116/17 sin(10 t + 37/23) + 22/27 sin(11 t + 3/19) + 136/21 sin(12 t + 45/17) + 117/40 sin(13 t + 38/29) + 27/32 sin(15 t + 62/21) + 244/41 sin(16 t + 27/38) + 387/97 sin(18 t + 57/37) + 104/29 sin(19 t + 12/25) + 88/25 sin(20 t + 51/20) + 73/36 sin(21 t + 17/15) + 27/37 sin(22 t + 36/13) + 59/20 sin(23 t + 95/39) + 39/28 sin(24 t + 99/34) + 56/27 sin(25 t + 82/25) + 61/60 sin(26 t + 82/29) + 59/42 sin(27 t + 115/28) + 15/17 sin(28 t + 151/66) + 21/32 sin(30 t + 163/38) + 1/87 sin(36 t + 63/17) + 34/37 sin(38 t + 113/26) + 8/27 sin(42 t + 9/29) + 3/32 sin(44 t + 138/37) + 28/27 sin(45 t + 1/76) + 16/21 sin(47 t + 13/12) + 7/22 sin(48 t + 40/21) + 1/4 sin(49 t + 112/37) - 783/10) θ(3 π - t) θ(t + π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((710/39 sin(t + 96/61) + 62/25 sin(2 t + 41/26) + 38/17 sin(3 t + 41/26) + 7/10 sin(4 t + 49/31) + 1062/7) θ(111 π - t) θ(t - 107 π) + (1461/28 sin(t + 11/7) + 146/27 sin(2 t + 102/65) + 2860/17) θ(107 π - t) θ(t - 103 π) + (-13/38 sin(56/55 - 78 t) - 6/17 sin(14/13 - 72 t) - 16/29 sin(32/29 - 71 t) - 142/143 sin(25/21 - 70 t) - 7/23 sin(41/40 - 69 t) - 93/32 sin(41/33 - 66 t) - 17/39 sin(5/6 - 65 t) - 19/25 sin(149/119 - 64 t) - 63/37 sin(49/41 - 63 t) - 33/26 sin(50/41 - 60 t) - 55/29 sin(39/32 - 59 t) - 25/28 sin(33/28 - 58 t) - 25/49 sin(24/25 - 56 t) - 92/29 sin(127/95 - 55 t) - 61/33 sin(41/30 - 53 t) - 138/35 sin(23/18 - 50 t) - 11/7 sin(73/61 - 49 t) - 13/53 sin(26/37 - 48 t) - 143/29 sin(123/92 - 47 t) - 70/37 sin(27/22 - 46 t) - 786/89 sin(77/58 - 43 t) - 226/33 sin(65/49 - 42 t) - 148/21 sin(27/20 - 40 t) - 35/22 sin(25/23 - 39 t) - 19/12 sin(47/31 - 38 t) - 286/41 sin(31/22 - 36 t) - 41/38 sin(59/46 - 35 t) - 56/29 sin(32/23 - 33 t) - 113/24 sin(55/41 - 32 t) - 213/64 sin(38/27 - 31 t) - 391/71 sin(44/31 - 28 t) - 328/21 sin(23/16 - 24 t) - 247/22 sin(27/19 - 23 t) - 18/7 sin(37/26 - 19 t) - 205/17 sin(34/23 - 18 t) - 85/22 sin(55/38 - 17 t) - 2/31 sin(63/43 - 16 t) - 31/10 sin(211/141 - 14 t) - 5/26 sin(47/31 - 13 t) - 63/16 sin(130/87 - 12 t) - 45/14 sin(152/101 - 11 t) - 519/44 sin(63/41 - 8 t) - 497/44 sin(26/17 - 5 t) - 1322/123 sin(25/16 - 4 t) - 357/2 sin(39/25 - 2 t) + 11371/69 sin(t + 52/33) + 1027/30 sin(3 t + 30/19) + 17/9 sin(6 t + 131/28) + 163/28 sin(7 t + 19/12) + 102/41 sin(9 t + 30/19) + 141/28 sin(10 t + 77/47) + 16/21 sin(15 t + 31/22) + 7/20 sin(20 t + 43/18) + 336/29 sin(21 t + 5/3) + 65/54 sin(22 t + 56/31) + 55/29 sin(25 t + 41/25) + 278/27 sin(26 t + 65/38) + 38/23 sin(27 t + 30/17) + 20/27 sin(29 t + 47/25) + 126/17 sin(30 t + 26/15) + 106/15 sin(34 t + 7/4) + 10/3 sin(37 t + 40/23) + 19/24 sin(41 t + 46/29) + 85/18 sin(44 t + 56/31) + 5/13 sin(45 t + 26/11) + 48/13 sin(51 t + 13/7) + 13/37 sin(52 t + 59/31) + 397/66 sin(54 t + 93/50) + 111/41 sin(57 t + 49/26) + 53/44 sin(61 t + 255/128) + 101/63 sin(62 t + 35/19) + 77/38 sin(67 t + 61/33) + 3/40 sin(68 t + 100/33) + 47/48 sin(73 t + 45/23) + 5/51 sin(74 t + 14/37) + 3/20 sin(75 t + 233/78) + 79/28 sin(76 t + 63/32) + 25/31 sin(77 t + 50/23) + 50207/85) θ(103 π - t) θ(t - 99 π) + (-115/57 sin(86/57 - 80 t) - 40/29 sin(45/31 - 75 t) - 101/100 sin(47/36 - 72 t) - 20/39 sin(28/23 - 67 t) - 38/33 sin(48/31 - 56 t) - 25/36 sin(45/32 - 52 t) - 45/31 sin(109/73 - 47 t) - 3/19 sin(42/29 - 46 t) - 43/34 sin(47/30 - 42 t) - 10/43 sin(9/11 - 39 t) - 9/19 sin(3/2 - 37 t) - 41/15 sin(26/17 - 21 t) - 3/4 sin(60/41 - 14 t) - 49/20 sin(61/41 - 6 t) - 2467/41 sin(102/65 - t) + 1071/29 sin(2 t + 11/7) + 206/21 sin(3 t + 58/37) + 3019/38 sin(4 t + 80/51) + 211/15 sin(5 t + 19/12) + 73/36 sin(7 t + 73/44) + 563/25 sin(8 t + 52/33) + 1100/157 sin(9 t + 14/9) + 83/26 sin(10 t + 249/53) + 86/21 sin(11 t + 17/11) + 335/23 sin(12 t + 19/12) + 185/34 sin(13 t + 67/43) + 33/16 sin(15 t + 27/17) + 221/27 sin(16 t + 41/26) + 29/15 sin(17 t + 45/28) + 5/7 sin(18 t + 54/43) + 29/9 sin(19 t + 11/7) + 98/11 sin(20 t + 30/19) + 47/21 sin(22 t + 27/17) + 56/75 sin(23 t + 297/65) + 2/7 sin(24 t + 43/29) + 221/49 sin(25 t + 59/37) + 11/14 sin(26 t + 22/15) + 47/39 sin(27 t + 37/26) + 179/34 sin(28 t + 53/33) + 17/15 sin(29 t + 46/31) + 53/54 sin(30 t + 103/22) + 30/23 sin(31 t + 327/70) + 461/123 sin(32 t + 14/9) + 29/19 sin(33 t + 41/25) + 34/25 sin(34 t + 43/31) + 47/40 sin(35 t + 201/43) + 44/39 sin(36 t + 34/21) + 1/15 sin(38 t + 186/49) + 43/35 sin(40 t + 83/18) + 5/26 sin(41 t + 43/10) + 162/161 sin(43 t + 127/27) + 139/49 sin(44 t + 26/17) + 25/12 sin(45 t + 29/18) + 22/35 sin(48 t + 119/64) + 59/24 sin(49 t + 55/36) + 27/31 sin(50 t + 55/36) + 27/31 sin(51 t + 75/16) + 41/21 sin(53 t + 190/41) + 8/23 sin(54 t + 53/40) + 8/21 sin(55 t + 80/17) + 77/54 sin(57 t + 46/29) + 17/25 sin(58 t + 49/11) + 21/16 sin(59 t + 51/37) + 15/31 sin(60 t + 105/23) + 33/26 sin(61 t + 56/37) + 17/27 sin(62 t + 49/32) + 20/27 sin(63 t + 53/32) + 35/29 sin(64 t + 48/35) + 51/26 sin(65 t + 31/19) + 66/35 sin(66 t + 43/27) + 51/29 sin(68 t + 34/21) + 41/27 sin(69 t + 74/49) + 60/29 sin(70 t + 31/20) + 5/17 sin(71 t + 33/14) + 29/34 sin(73 t + 225/52) + 21/20 sin(74 t + 41/26) + 45/34 sin(76 t + 44/27) + 39/19 sin(77 t + 67/46) + 2/9 sin(78 t + 73/27) + 10/7 sin(79 t + 92/61) + 20/11 sin(81 t + 37/22) - 7813/29) θ(99 π - t) θ(t - 95 π) + (-201/65 sin(67/43 - 9 t) - 49/20 sin(80/51 - 7 t) - 75/94 sin(69/44 - 6 t) - 23/18 sin(48/31 - 5 t) - 55/9 sin(64/41 - 4 t) - 153/14 sin(91/58 - t) + 547/76 sin(2 t + 41/26) + 11/12 sin(3 t + 80/17) + 103/59 sin(8 t + 68/43) + 8301/22) θ(95 π - t) θ(t - 91 π) + (-33/14 sin(59/38 - 3 t) + 1250/11 sin(t + 39/25) + 2044/33 sin(2 t + 14/9) + 205/22 sin(4 t + 43/27) + 10/7 sin(5 t + 53/37) + 88/13 sin(6 t + 61/38) + 86/27 sin(7 t + 453/97) + 165/26 sin(8 t + 36/23) + 24/13 sin(9 t + 162/35) + 125/34 sin(10 t + 45/29) + 6/13 sin(11 t + 37/23) + 6/25 sin(12 t + 64/31) + 79/39 sin(13 t + 34/23) + 4/33 sin(14 t + 22/15) + 4/13 sin(15 t + 41/26) + 7/27 sin(16 t + 45/34) + 1455/32) θ(91 π - t) θ(t - 87 π) + (-78/23 sin(11/7 - 2 t) - 1331/32 sin(91/58 - t) + 67/20 sin(3 t + 212/45) + 39/32 sin(4 t + 146/31) + 62/37 sin(5 t + 212/45) - 3443/48) θ(87 π - t) θ(t - 83 π) + (-128/29 sin(91/58 - 3 t) - 2515/46 sin(69/44 - t) + 197/60 sin(2 t + 19/12) + 17/13 sin(4 t + 19/12) - 4849/61) θ(83 π - t) θ(t - 79 π) + (-22/27 sin(29/19 - 6 t) - 15/29 sin(58/37 - 2 t) + 236/45 sin(t + 85/54) + 35/27 sin(3 t + 127/27) + 47/46 sin(4 t + 60/37) + 41/49 sin(5 t + 37/23) - 17638/117) θ(79 π - t) θ(t - 75 π) + (-40/159 sin(54/49 - 12 t) - 37/38 sin(104/207 - 9 t) - 6/25 sin(40/31 - 8 t) - 61/37 sin(13/12 - 7 t) - 74/23 sin(7/16 - 6 t) - 106/17 sin(56/51 - 3 t) + 341/36 sin(t + 27/29) + 255/23 sin(2 t + 40/13) + 17/19 sin(4 t + 31/11) + 109/33 sin(5 t + 2/21) + 15/44 sin(10 t + 103/27) + 8/33 sin(11 t + 24/11) + 4099/20) θ(75 π - t) θ(t - 71 π) + (-5/31 sin(73/65 - 12 t) - 12/49 sin(14/13 - 10 t) - 18/25 sin(10/27 - 9 t) - 44/53 sin(5/39 - 8 t) - 9/8 sin(38/27 - 7 t) - 76/21 sin(16/19 - 6 t) - 147/26 sin(23/18 - 3 t) + 235/22 sin(t + 15/41) + 327/26 sin(2 t + 94/33) + 27/20 sin(4 t + 38/27) + 71/15 sin(5 t + 3/35) + 9/32 sin(11 t + 38/27) + 6083/32) θ(71 π - t) θ(t - 67 π) + (-25/41 sin(27/29 - 23 t) - 5/32 sin(22/25 - 22 t) - 27/28 sin(61/62 - 17 t) - 16/29 sin(19/28 - 11 t) + 1020/47 sin(t + 80/29) + 261/17 sin(2 t + 56/13) + 347/56 sin(3 t + 27/8) + 871/436 sin(4 t + 83/36) + 236/57 sin(5 t + 102/55) + 48/47 sin(6 t + 91/34) + 59/69 sin(7 t + 156/55) + 39/28 sin(8 t + 34/27) + 13/12 sin(9 t + 63/44) + 9/23 sin(10 t + 73/25) + 16/19 sin(12 t + 181/45) + 9/11 sin(13 t + 131/41) + 11/18 sin(14 t + 33/32) + 25/28 sin(15 t + 17/9) + 49/55 sin(16 t + 162/49) + 12/43 sin(18 t + 104/25) + 3/20 sin(19 t + 29/16) + 1/3 sin(20 t + 268/63) + 3/7 sin(21 t + 12/25) + 15039/53) θ(67 π - t) θ(t - 63 π) + (-19/67 sin(9/28 - 25 t) - 1/6 sin(25/36 - 23 t) - 5/18 sin(27/28 - 11 t) + 867/31 sin(t + 101/30) + 209/50 sin(2 t + 99/25) + 106/17 sin(3 t + 185/42) + 6/5 sin(4 t + 199/50) + 49/16 sin(5 t + 109/25) + 11/21 sin(6 t + 43/23) + 86/49 sin(7 t + 107/25) + 11/12 sin(8 t + 66/29) + 137/68 sin(9 t + 153/38) + 36/25 sin(10 t + 102/37) + 22/41 sin(12 t + 109/54) + 15/19 sin(13 t + 5/9) + 29/31 sin(14 t + 25/11) + 19/26 sin(15 t + 84/19) + 2/5 sin(16 t + 143/31) + 13/27 sin(17 t + 43/26) + 18/41 sin(18 t + 20/13) + 4/25 sin(19 t + 91/68) + 17/41 sin(20 t + 7/8) + 12/41 sin(21 t + 3) + 17/30 sin(22 t + 42/23) + 7/25 sin(24 t + 208/45) + 8399/31) θ(63 π - t) θ(t - 59 π) + (-21/11 sin(28/31 - 23 t) - 89/90 sin(4/15 - 19 t) - 103/25 sin(25/19 - 17 t) - 83/58 sin(9/22 - 13 t) - 229/27 sin(6/49 - 11 t) - 1037/31 sin(10/59 - 5 t) + 5407/37 sin(t + 103/23) + 1041/17 sin(2 t + 43/16) + 2737/33 sin(3 t + 184/45) + 1344/23 sin(4 t + 61/51) + 313/22 sin(6 t + 48/17) + 407/28 sin(7 t + 150/53) + 246/31 sin(8 t + 17/20) + 235/24 sin(9 t + 122/27) + 157/34 sin(10 t + 39/34) + 269/54 sin(12 t + 19/27) + 8/23 sin(14 t + 21/29) + 28/83 sin(15 t + 5/11) + 151/46 sin(16 t + 13/22) + 38/27 sin(18 t + 33/16) + 192/115 sin(20 t + 537/124) + 68/29 sin(21 t + 95/24) + 49/45 sin(22 t + 24/37) - 3588/5) θ(59 π - t) θ(t - 55 π) + (-37/19 sin(7/37 - 17 t) - 53/30 sin(5/23 - 15 t) - 124/33 sin(23/29 - 11 t) - 31/54 sin(19/21 - 9 t) - 235/32 sin(15/34 - 7 t) - 363/16 sin(33/38 - 4 t) - 8373/37 sin(16/23 - t) + 5525/62 sin(2 t + 161/36) + 539/20 sin(3 t + 46/21) + 563/41 sin(5 t + 17/35) + 307/14 sin(6 t + 28/9) + 137/22 sin(8 t + 115/27) + 58/15 sin(10 t + 119/39) + 52/11 sin(12 t + 88/23) + 161/38 sin(13 t + 19/22) + 45/14 sin(14 t + 193/54) + 409/91 sin(16 t + 57/20) + 74/27 sin(18 t + 40/11) + 27/22 sin(19 t + 23/31) - 23727/34) θ(55 π - t) θ(t - 51 π) + (-131/37 sin(11/20 - 7 t) - 143/28 sin(33/41 - 5 t) - 67/6 sin(20/21 - 4 t) - 3207/28 sin(52/73 - t) + 704/25 sin(2 t + 69/19) + 307/39 sin(3 t + 104/27) + 127/52 sin(6 t + 109/37) - 13889/27) θ(51 π - t) θ(t - 47 π) + (-71/28 sin(85/64 - 7 t) - 3895/31 sin(50/33 - t) + 1293/53 sin(2 t + 19/12) + 58/17 sin(3 t + 10/7) + 625/44 sin(4 t + 61/37) + 50/29 sin(5 t + 101/55) + 73/19 sin(6 t + 25/14) - 21437/43) θ(47 π - t) θ(t - 43 π) + (-157/105 sin(27/19 - 5 t) + 239/28 sin(t + 5/46) + 182/31 sin(2 t + 74/29) + 189/32 sin(3 t + 7/15) + 115/33 sin(4 t + 81/38) + 45/26 sin(6 t + 85/36) + 11/6 sin(7 t + 142/31) + 4/31 sin(8 t + 51/20) + 4/33 sin(9 t + 299/88) - 7614/35) θ(43 π - t) θ(t - 39 π) + (-220/27 sin(1/15 - 3 t) - 2944/43 sin(125/126 - t) + 57/20 sin(2 t + 65/31) + 445/223) θ(39 π - t) θ(t - 35 π) + (-61/16 sin(21/22 - 8 t) + 3736/33 sin(t + 37/31) + 1107/34 sin(2 t + 81/26) + 176/19 sin(3 t + 53/13) + 501/35 sin(4 t + 92/37) + 307/48 sin(5 t + 296/71) + 229/31 sin(6 t + 43/23) + 118/25 sin(7 t + 2/17) + 829/25) θ(35 π - t) θ(t - 31 π) + (-169/135 sin(28/31 - 6 t) - 56/27 sin(25/21 - 4 t) - 692/43 sin(602/601 - 2 t) + 740/49 sin(t + 13/17) + 89/22 sin(3 t + 72/71) + 35/32 sin(5 t + 29/14) + 6659/30) θ(31 π - t) θ(t - 27 π) + (-31/34 sin(2/15 - 6 t) - 94/25 sin(14/83 - 4 t) - 1139/60 sin(23/27 - 2 t) + 824/61 sin(t + 7/10) + 239/49 sin(3 t + 25/21) + 45/31 sin(5 t + 27/16) + 37/32 sin(7 t + 33/13) + 7591/37) θ(27 π - t) θ(t - 23 π) + (69/25 sin(t + 47/22) + 263/30 sin(2 t + 33/25) + 38/35 sin(3 t + 57/22) + 47/24 sin(4 t + 16/17) + 19/32 sin(5 t + 208/89) + 20/33 sin(6 t + 43/38) + 9183/52) θ(23 π - t) θ(t - 19 π) + (-27/82 sin(2/27 - 7 t) - 23/30 sin(35/87 - 3 t) + 81/25 sin(t + 20/33) + 122/15 sin(2 t + 8/7) + 40/21 sin(4 t + 19/32) + 19/34 sin(5 t + 58/23) + 15/13 sin(6 t + 9/28) + 35/58 sin(8 t + 8/29) + 2/19 sin(9 t + 262/75) + 3863/24) θ(19 π - t) θ(t - 15 π) + (-38/49 sin(21/19 - 7 t) + 274/7 sin(t + 85/27) + 457/49 sin(2 t + 11/5) + 179/45 sin(3 t + 191/49) + 236/51 sin(4 t + 83/39) + 43/25 sin(5 t + 74/23) + 4/7 sin(6 t + 39/43) - 16723/104) θ(15 π - t) θ(t - 11 π) + (-32/39 sin(19/15 - 15 t) - 205/91 sin(17/14 - 10 t) - 4/3 sin(55/83 - 9 t) - 50/17 sin(11/10 - 8 t) - 169/31 sin(7/39 - 7 t) - 83/24 sin(62/41 - 4 t) + 1847/47 sin(t + 507/203) + 150/17 sin(2 t + 25/32) + 2227/26 sin(3 t + 1347/337) + 70/29 sin(5 t + 26/35) + 20/31 sin(6 t + 79/26) + 14/5 sin(11 t + 80/23) + 37/20 sin(12 t + 67/20) + 61/38 sin(13 t + 9/19) + 70/39 sin(14 t + 124/37) - 16687/24) θ(11 π - t) θ(t - 7 π) + (-23/13 sin(41/32 - 13 t) - 36/35 sin(26/41 - 12 t) - 44/39 sin(44/29 - 10 t) - 85/21 sin(54/43 - 9 t) + 9563/21 sin(t + 127/53) + 328/33 sin(2 t + 139/33) + 199/8 sin(3 t + 106/45) + 182/15 sin(4 t + 61/36) + 113/10 sin(5 t + 155/37) + 323/36 sin(6 t + 175/43) + 61/20 sin(7 t + 97/36) + 76/41 sin(8 t + 15/32) + 153/67 sin(11 t + 67/36) + 11/15 sin(14 t + 10/39) + 89/27 sin(15 t + 44/25) + 2/3 sin(16 t + 43/31) + 5660/27) θ(7 π - t) θ(t - 3 π) + (-14/33 sin(31/22 - 36 t) - 14/23 sin(35/32 - 35 t) - 25/31 sin(54/35 - 32 t) - 29/26 sin(15/26 - 29 t) - 41/16 sin(1/7 - 21 t) - 124/37 sin(31/34 - 19 t) - 45/28 sin(37/48 - 17 t) - 37/12 sin(4/27 - 15 t) - 161/34 sin(31/78 - 13 t) - 83/25 sin(6/7 - 11 t) - 287/30 sin(54/37 - 6 t) - 363/29 sin(17/45 - 5 t) - 821/43 sin(51/40 - 4 t) + 14134/23 sin(t + 25/36) + 1472/21 sin(2 t + 14/43) + 25 sin(3 t + 173/41) + 74/23 sin(7 t + 113/29) + 26/17 sin(8 t + 416/99) + 398/59 sin(9 t + 166/37) + 204/49 sin(10 t + 43/20) + 281/46 sin(12 t + 47/22) + 45/28 sin(14 t + 87/40) + 37/20 sin(16 t + 52/29) + 194/41 sin(18 t + 41/30) + 22/29 sin(20 t + 104/41) + 73/26 sin(22 t + 115/42) + 27/16 sin(23 t + 112/53) + 22/31 sin(24 t + 7/4) + 54/25 sin(25 t + 73/31) + 9/17 sin(26 t + 37/28) + 17/19 sin(27 t + 104/23) + 36/35 sin(28 t + 4) + 38/31 sin(30 t + 124/33) + 33/35 sin(31 t + 35/27) + 16/17 sin(33 t + 4/11) + 1/13 sin(34 t + 9/14) + 20/31 sin(37 t + 17/43) + 9/8 sin(38 t + 209/52) + 22/21 sin(39 t + 14/55) + 12/37 sin(40 t + 61/16) + 21/34 sin(41 t + 10/19) + 43/50 sin(42 t + 7/8) + 16/47 sin(43 t + 11/38) + 8/29 sin(44 t + 27/14) + 13/16 sin(45 t + 6/29) + 26/23 sin(46 t + 73/26) + 19/39 sin(47 t + 1/14) + 29/48 sin(48 t + 74/31) + 7/27 sin(49 t + 63/20) + 1433/10) 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