Complex equation

For those wondering where I posted this: https://www.reddit.com/r/gifs/comments/4v5i9i/mathpix_graphing_a_taylor_series/d5vr4r4

x(t) = ((-33/16 sin(11/7-12 t)-1/4 sin(9/7-7 t)-1/6 sin(10/7-2 t)+264/7 sin(t+11/7)+17/2 sin(3 t+33/7)+4/3 sin(4 t+47/10)+17/11 sin(5 t+11/7)+19/11 sin(6 t+14/9)+3 sin(8 t+14/9)+9/4 sin(9 t+17/11)+1/9 sin(10 t+7/10)+29/9 sin(11 t+11/7)-5613/8) theta(83 pi-t) theta(t-79 pi)+(-29/7 sin(11/7-10 t)-1/7 sin(13/9-9 t)-91/8 sin(11/7-6 t)-1002/7 sin(11/7-2 t)-545/7 sin(11/7-t)+175/4 sin(3 t+11/7)+91/45 sin(4 t+47/10)+51/4 sin(5 t+11/7)+25/4 sin(7 t+11/7)+1/2 sin(8 t+8/5)+10/7 sin(11 t+11/7)+19/8 sin(12 t+33/7)+4595/9) theta(79 pi-t) theta(t-75 pi)+(-37/8 sin(14/9-4 t)-30 sin(11/7-2 t)+28/5 sin(t+11/7)+67/8 sin(3 t+11/7)+1/3 sin(5 t+3/2)+649/2) theta(75 pi-t) theta(t-71 pi)+(-89/10 sin(11/7-2 t)+206/5 sin(t+11/7)+29/6 sin(3 t+11/7)+5/11 sin(4 t+47/10)+7/4 sin(5 t+11/7)-3972/13) theta(71 pi-t) theta(t-67 pi)+(-26/7 sin(11/7-5 t)-37/12 sin(14/9-4 t)-679/4 sin(11/7-t)+195/7 sin(2 t+11/7)+16/5 sin(3 t+11/7)+10/3 sin(6 t+11/7)+3345/22) theta(67 pi-t) theta(t-63 pi)+(-36/7 sin(14/9-9 t)-175/16 sin(14/9-7 t)-79/6 sin(11/7-5 t)-71/8 sin(11/7-4 t)-776/21 sin(11/7-3 t)-287/13 sin(11/7-2 t)+616/9 sin(t+11/7)+11/7 sin(6 t+33/7)+97/48 sin(8 t+8/5)+5/7 sin(10 t+23/15)+4/3 sin(11 t+47/10)+3/2 sin(12 t+8/5)-659/10) theta(63 pi-t) theta(t-59 pi)+(-2/5 sin(7/5-30 t)-6/11 sin(7/6-26 t)-3/2 sin(7/5-25 t)-8/5 sin(10/7-24 t)-32/11 sin(26/17-18 t)-49/9 sin(3/2-16 t)-25/9 sin(16/11-15 t)-11/5 sin(14/9-10 t)+91/23 sin(t+61/13)+268/7 sin(2 t+11/7)+431/27 sin(3 t+47/10)+415/7 sin(4 t+8/5)+93/10 sin(5 t+13/8)+11/3 sin(6 t+33/7)+59/9 sin(7 t+5/3)+209/8 sin(8 t+8/5)+5/2 sin(9 t+12/7)+1/6 sin(11 t+23/5)+15/2 sin(12 t+13/8)+19/5 sin(13 t+17/10)+4/5 sin(14 t+13/8)+13/7 sin(17 t+3/2)+1/2 sin(19 t+17/4)+65/7 sin(20 t+18/11)+7/9 sin(21 t+7/3)+51/13 sin(22 t+5/3)+5/8 sin(23 t+9/5)+5/6 sin(27 t+33/7)+3/2 sin(28 t+12/7)+11/12 sin(29 t+16/9)-1497/4) theta(59 pi-t) theta(t-55 pi)+(-7/4 sin(17/11-19 t)-16/9 sin(14/9-17 t)-1/6 sin(7/5-16 t)-8/5 sin(11/7-15 t)-20/9 sin(14/9-13 t)-1/3 sin(11/7-12 t)-28/9 sin(14/9-11 t)-19/10 sin(20/13-10 t)-13/4 sin(11/7-9 t)-59/4 sin(14/9-7 t)-113/14 sin(14/9-6 t)+32/7 sin(t+11/7)+49/9 sin(2 t+11/7)+405/29 sin(3 t+11/7)+37/6 sin(4 t+11/7)+82/5 sin(5 t+8/5)+19/7 sin(8 t+8/5)+3/7 sin(14 t+23/15)+16/15 sin(18 t+8/5)-3625/6) theta(55 pi-t) theta(t-51 pi)+(-65/11 sin(11/7-5 t)-87/8 sin(11/7-3 t)+917/11 sin(t+11/7)+221/3 sin(2 t+11/7)+239/8 sin(4 t+11/7)+41/5 sin(6 t+11/7)-2018/11) theta(51 pi-t) theta(t-47 pi)+(-25/9 sin(11/7-8 t)+627/10 sin(t+11/7)+1261/15 sin(2 t+11/7)+355/9 sin(3 t+11/7)+173/9 sin(4 t+33/7)+23/5 sin(5 t+11/7)+59/20 sin(6 t+3/2)+58/7 sin(7 t+11/7)+10/9 sin(9 t+37/8)+13/9 sin(10 t+23/15)+17/6 sin(11 t+17/11)+1/4 sin(12 t+11/7)-351/5) theta(47 pi-t) theta(t-43 pi)+(-5/4 sin(11/7-12 t)-1/4 sin(3/2-11 t)-9/4 sin(11/7-10 t)-7/2 sin(11/7-8 t)-12/5 sin(14/9-6 t)-94/5 sin(11/7-4 t)-7/5 sin(14/9-3 t)-126/5 sin(11/7-2 t)+2022/47 sin(t+11/7)+1/3 sin(5 t+17/11)+13/9 sin(7 t+8/5)+2/5 sin(9 t+17/11)+5264/9) theta(43 pi-t) theta(t-39 pi)+(-44/3 sin(11/7-6 t)-37/7 sin(20/13-4 t)+281/9 sin(t+11/7)+1223/12 sin(2 t+33/7)+657/16 sin(3 t+33/7)+134/9 sin(5 t+11/7)+19/18 sin(7 t+37/8)+53/6 sin(8 t+33/7)+20/7 sin(9 t+11/7)+4/7 sin(10 t+16/11)+13/8 sin(11 t+33/7)+35/9 sin(12 t+33/7)-20367/34) theta(39 pi-t) theta(t-35 pi)+(-16/9 sin(17/11-12 t)-5/6 sin(3/2-11 t)-29/8 sin(11/7-6 t)+1069/10 sin(t+11/7)+78/5 sin(2 t+33/7)+53/5 sin(3 t+11/7)+64/21 sin(4 t+33/7)+10/9 sin(5 t+14/9)+59/11 sin(7 t+11/7)+16/9 sin(8 t+47/10)+7/4 sin(9 t+8/5)+1/9 sin(10 t+23/5)-13508/15) theta(35 pi-t) theta(t-31 pi)+(482/9 sin(t+33/7)+696/5 sin(2 t+11/7)+27/2 sin(3 t+8/5)+29/4 sin(4 t+8/5)+40/11 sin(5 t+8/5)+76/7 sin(6 t+8/5)+9/5 sin(7 t+8/5)+20/7 sin(8 t+8/5)+7/3 sin(9 t+8/5)+64/21 sin(10 t+8/5)+1/2 sin(11 t+5/3)+13/5 sin(12 t+8/5)-791/6) theta(31 pi-t) theta(t-27 pi)+(1625/8 sin(t+11/7)+38/11 sin(2 t+11/7)+110/7 sin(3 t+11/7)+13/8 sin(4 t+8/5)+41/8 sin(5 t+11/7)+9/10 sin(6 t+8/5)+25/7 sin(7 t+11/7)+3/4 sin(8 t+8/5)+16/7 sin(9 t+8/5)+6/13 sin(10 t+13/8)+5/4 sin(11 t+11/7)+1/9 sin(12 t+11/8)+5155/9) theta(27 pi-t) theta(t-23 pi)+(-19/2 sin(11/7-6 t)-29/15 sin(3/2-3 t)+1102/3 sin(t+33/7)+141/7 sin(2 t+11/7)+75/2 sin(4 t+33/7)+277/9 sin(5 t+33/7)+1834/3) theta(23 pi-t) theta(t-19 pi)+(-3/5 sin(6/13-14 t)-1030/49 sin(11/9-2 t)+219/10 sin(t+7/2)+139/6 sin(3 t+10/11)+71/10 sin(4 t+31/10)+233/29 sin(5 t+19/10)+40/11 sin(6 t+23/6)+61/9 sin(7 t+27/10)+23/6 sin(8 t+18/7)+21/8 sin(9 t+115/57)+11/9 sin(10 t+4/7)+23/10 sin(11 t+1/21)+7/4 sin(12 t+25/6)+3/4 sin(13 t+13/10)+4/9 sin(15 t+18/7)+1/3 sin(16 t+23/7)+2/7 sin(17 t+8/9)+6/13 sin(18 t+4)+1/13 sin(19 t+22/9)+1/5 sin(20 t+31/7)-4403/10) theta(19 pi-t) theta(t-15 pi)+(-13/14 sin(16/11-23 t)-11/8 sin(3/7-15 t)-3/4 sin(13/10-14 t)-18/7 sin(15/11-13 t)-2447/10 sin(17/16-t)+181/7 sin(2 t+13/3)+194/9 sin(3 t+1/2)+18 sin(4 t+10/3)+25/9 sin(5 t+6/13)+74/9 sin(6 t+7/2)+58/11 sin(7 t+27/7)+11/8 sin(8 t+51/13)+7/3 sin(9 t+19/7)+11/3 sin(10 t+18/5)+5/3 sin(11 t+37/8)+24/7 sin(12 t+11/3)+10/9 sin(16 t+3/2)+15/8 sin(17 t+15/11)+19/10 sin(18 t+9/4)+11/6 sin(19 t+27/10)+2 sin(20 t+10/3)+10/7 sin(21 t+29/8)+22/15 sin(22 t+34/9)+3/8 sin(24 t+65/16)-938/5) theta(15 pi-t) theta(t-11 pi)+(-11/8 sin(1/47-10 t)-31/32 sin(11/8-9 t)-131/8 sin(19/20-3 t)+1651/22 sin(t+3/4)+62/5 sin(2 t+14/15)+47/11 sin(4 t+7/5)+16/9 sin(5 t+8/7)+33/8 sin(6 t+24/7)+11/10 sin(7 t+8/9)+13/10 sin(8 t+33/7)+3/4 sin(11 t+27/13)+5/7 sin(12 t+27/10)-10999/26) theta(11 pi-t) theta(t-7 pi)+(-5/6 sin(1/6-7 t)-13/7 sin(3/7-6 t)+887/5 sin(t+9/8)+79/6 sin(2 t+3/2)+227/12 sin(3 t+1/59)+59/7 sin(4 t+4/3)+9 sin(5 t+50/11)+13/9 sin(8 t+14/3)+2/3 sin(9 t+16/7)+3/2 sin(10 t+31/10)+27/10 sin(11 t+7/9)+17/10 sin(12 t+1/12)+12/7 sin(13 t+21/8)+29/30 sin(14 t+3/10)+3/4 sin(15 t+23/7)+5/7 sin(16 t+1/9)+1/7 sin(17 t+17/5)+3/7 sin(18 t+16/5)+1/4 sin(19 t+13/7)+1/6 sin(20 t+11/5)+1/2 sin(21 t+7/2)+1320/13) theta(7 pi-t) theta(t-3 pi)+(-1/2 sin(1/6-78 t)-5/9 sin(7/9-76 t)-4/11 sin(10/7-64 t)-6/5 sin(7/6-56 t)-12/7 sin(47/46-54 t)-5/3 sin(1/5-52 t)-11/5 sin(4/11-49 t)-5/2 sin(11/8-36 t)-31/7 sin(13/10-30 t)-83/6 sin(6/7-14 t)-326/5 sin(3/4-7 t)-287/3 sin(5/6-6 t)+23/15 sin(50 t)+4775/6 sin(t+31/8)+406/11 sin(2 t+15/4)+457/6 sin(3 t+43/10)+471/5 sin(4 t+3/8)+1262/7 sin(5 t+7/4)+743/12 sin(8 t+11/5)+265/11 sin(9 t+16/9)+79/2 sin(10 t+21/5)+617/44 sin(11 t+17/4)+293/9 sin(12 t+10/3)+236/11 sin(13 t+3/2)+285/13 sin(15 t+23/10)+211/15 sin(16 t+61/13)+19/8 sin(17 t+21/5)+88/9 sin(18 t+16/9)+61/10 sin(19 t+11/7)+128/7 sin(20 t+13/10)+11 sin(21 t+7/5)+93/10 sin(22 t+17/7)+71/7 sin(23 t+11/7)+2 sin(24 t+19/8)+96/11 sin(25 t+5/3)+56/19 sin(26 t+17/8)+22/5 sin(27 t+11/8)+5/6 sin(28 t+17/6)+37/5 sin(29 t+23/6)+33/7 sin(31 t+40/9)+33/7 sin(32 t+123/31)+5/8 sin(33 t+9/5)+19/6 sin(34 t+13/4)+24/5 sin(35 t+13/6)+11/3 sin(37 t+16/9)+2/3 sin(38 t+5/6)+3/5 sin(39 t+5/8)+21/10 sin(40 t+13/10)+39/8 sin(41 t+13/6)+9/7 sin(42 t+13/7)+33/16 sin(43 t+9/5)+13/8 sin(44 t+12/7)+17/7 sin(45 t+11/3)+15/11 sin(46 t+25/9)+5/7 sin(47 t+1/8)+10/7 sin(48 t+58/13)+1/4 sin(51 t+1/8)+15/11 sin(53 t+5/3)+10/7 sin(55 t+43/10)+23/10 sin(57 t+21/5)+7/9 sin(58 t+41/10)+12/13 sin(59 t+18/5)+13/8 sin(60 t+67/22)+8/9 sin(61 t+38/15)+7/13 sin(62 t+81/20)+13/10 sin(63 t+18/7)+5/4 sin(65 t+23/5)+1/4 sin(66 t+3/5)+12/13 sin(67 t+32/7)+3/4 sin(68 t+26/7)+7/11 sin(69 t+17/5)+3/7 sin(70 t+23/7)+5/7 sin(71 t+29/8)+9/10 sin(72 t+27/8)+3/4 sin(73 t+8/3)+3/7 sin(74 t+26/9)+2/3 sin(75 t+43/21)+6/7 sin(77 t+9/2)+3/4 sin(79 t+50/11)-25/3) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2))))

y(t) = ((-32/11 sin(11/7-9 t)-23/8 sin(11/7-4 t)+4/11 sin(t+13/9)+36/5 sin(2 t+11/7)+7/2 sin(3 t+11/7)+7/8 sin(5 t+14/9)+20/7 sin(6 t+14/9)+11/3 sin(7 t+14/9)+92/31 sin(8 t+11/7)+1/9 sin(10 t+22/9)+21/11 sin(11 t+14/3)+21/11 sin(12 t+47/10)+3333/5) theta(83 pi-t) theta(t-79 pi)+(-15/14 sin(11/7-9 t)+373/5 sin(t+33/7)+706/5 sin(2 t+11/7)+251/5 sin(3 t+11/7)+32/5 sin(4 t+33/7)+97/8 sin(5 t+11/7)+31/3 sin(6 t+11/7)+177/22 sin(7 t+11/7)+7/4 sin(8 t+8/5)+19/4 sin(10 t+11/7)+16/7 sin(11 t+8/5)+3/8 sin(12 t+13/8)-10387/28) theta(79 pi-t) theta(t-75 pi)+(-91/11 sin(14/9-5 t)-8/5 sin(19/13-4 t)-179/8 sin(14/9-3 t)-3 sin(14/9-2 t)-3107/14 sin(11/7-t)-2219/6) theta(75 pi-t) theta(t-71 pi)+(299/7 sin(t+11/7)+80/9 sin(2 t+11/7)+19/5 sin(3 t+11/7)+2/3 sin(4 t+8/5)+15/8 sin(5 t+11/7)-1943/9) theta(71 pi-t) theta(t-67 pi)+(-43/6 sin(11/7-6 t)-6/7 sin(23/15-5 t)-128/9 sin(11/7-4 t)-722/7 sin(11/7-2 t)-339/5 sin(11/7-t)+331/55 sin(3 t+11/7)-2905/9) theta(67 pi-t) theta(t-63 pi)+(-8/7 sin(19/13-11 t)-2/5 sin(3/2-9 t)-2/7 sin(11/8-8 t)-47/9 sin(11/7-7 t)-50/3 sin(17/11-4 t)-37/5 sin(17/11-3 t)+110/7 sin(t+11/7)+329/3 sin(2 t+11/7)+4/7 sin(5 t+32/7)+16/5 sin(6 t+13/8)+29/6 sin(10 t+8/5)+1/2 sin(12 t+17/11)-6041/10) theta(63 pi-t) theta(t-59 pi)+(-5/8 sin(9/7-30 t)-7/6 sin(10/7-29 t)-2/9 sin(43/42-28 t)-4/7 sin(11/8-27 t)-24/11 sin(14/9-20 t)-123/19 sin(22/15-18 t)-15/4 sin(19/13-17 t)-31/4 sin(14/9-12 t)-101/7 sin(14/9-8 t)-103/8 sin(11/7-3 t)-24/7 sin(3/2-2 t)-425/6 sin(11/7-t)+39/8 sin(4 t+33/7)+118/7 sin(5 t+8/5)+28/11 sin(6 t+5/3)+7/11 sin(7 t+17/13)+61/5 sin(9 t+8/5)+12/5 sin(10 t+14/3)+27/8 sin(11 t+14/9)+37/6 sin(13 t+8/5)+49/10 sin(14 t+18/11)+27/8 sin(15 t+47/10)+13/3 sin(16 t+8/5)+3/4 sin(19 t+6/5)+16/9 sin(21 t+17/10)+41/11 sin(22 t+17/10)+10/11 sin(23 t+11/6)+1/4 sin(24 t+15/7)+21/10 sin(25 t+5/3)+1/7 sin(26 t+8/3)-436/5) theta(59 pi-t) theta(t-55 pi)+(-7/9 sin(17/11-18 t)-sin(23/15-17 t)-20/11 sin(17/11-15 t)-5/8 sin(20/13-14 t)-19/8 sin(14/9-10 t)-3/8 sin(11/7-7 t)-41/7 sin(14/9-5 t)-208/11 sin(11/7-2 t)-352/5 sin(11/7-t)+23/2 sin(3 t+11/7)+271/16 sin(4 t+11/7)+86/5 sin(6 t+8/5)+5/8 sin(8 t+16/11)+23/12 sin(9 t+8/5)+4/9 sin(11 t+11/7)+5/6 sin(12 t+8/5)+7/8 sin(13 t+18/11)+1/25 sin(16 t+7/3)-724/5) theta(55 pi-t) theta(t-51 pi)+(-41/6 sin(11/7-6 t)-99/10 sin(11/7-2 t)-2023/9 sin(11/7-t)+35/9 sin(3 t+11/7)+131/10 sin(4 t+33/7)+17/3 sin(5 t+11/7)+12583/27) theta(51 pi-t) theta(t-47 pi)+(-51/25 sin(11/7-12 t)-12/7 sin(23/15-9 t)+203/3 sin(t+11/7)+323/5 sin(2 t+33/7)+119/4 sin(3 t+33/7)+17 sin(4 t+11/7)+58/3 sin(5 t+33/7)+29/7 sin(6 t+13/8)+223/16 sin(7 t+33/7)+15/4 sin(8 t+8/5)+11/5 sin(10 t+14/3)+9/7 sin(11 t+37/8)+1426/3) theta(47 pi-t) theta(t-43 pi)+(-2/3 sin(23/15-12 t)+19/5 sin(t+18/11)+804/5 sin(2 t+11/7)+2/7 sin(3 t+9/5)+7/3 sin(4 t+51/11)+22/13 sin(5 t+14/9)+148/9 sin(6 t+11/7)+2/3 sin(7 t+37/8)+6/7 sin(8 t+14/3)+9/8 sin(9 t+11/7)+35/6 sin(10 t+11/7)+3/5 sin(11 t+37/8)+1238/3) theta(43 pi-t) theta(t-39 pi)+(-1/13 sin(11/8-8 t)+10/9 sin(t+33/7)+201/8 sin(2 t+11/7)+31/9 sin(3 t+11/7)+13/4 sin(4 t+8/5)+113/15 sin(5 t+33/7)+22/5 sin(6 t+11/7)+1/3 sin(7 t+11/7)+17/5 sin(9 t+11/7)+25/26 sin(10 t+33/7)+6/5 sin(11 t+33/7)+4/5 sin(12 t+11/7)+6265/11) theta(39 pi-t) theta(t-35 pi)+(-3/5 sin(7/5-12 t)-58/19 sin(14/9-11 t)-71/18 sin(14/9-9 t)-63/10 sin(14/9-6 t)-37/8 sin(14/9-5 t)-19/4 sin(14/9-4 t)-64/7 sin(11/7-3 t)-230/9 sin(11/7-2 t)-445/4 sin(11/7-t)+15/14 sin(7 t+11/7)+4/9 sin(8 t+14/9)+27/11 sin(10 t+11/7)+1606/5) theta(35 pi-t) theta(t-31 pi)+(-1/8 sin(16/11-10 t)-37/5 sin(11/7-8 t)-77/4 sin(11/7-6 t)-777/11 sin(11/7-2 t)-1988/13 sin(11/7-t)+10/3 sin(3 t+11/7)+46/5 sin(4 t+11/7)+1/6 sin(5 t+6/5)+83/5 sin(7 t+11/7)+6/11 sin(9 t+14/9)+13/10 sin(11 t+8/5)+3/10 sin(12 t+13/8)-2345/8) theta(31 pi-t) theta(t-27 pi)+(-208/11 sin(11/7-t)+889/24 sin(2 t+11/7)+9/5 sin(3 t+33/7)+307/22 sin(4 t+11/7)+9/7 sin(5 t+47/10)+27/7 sin(6 t+11/7)+5/6 sin(7 t+47/10)+7/6 sin(8 t+11/7)+7/6 sin(9 t+33/7)+11/9 sin(10 t+11/7)+1/6 sin(11 t+14/3)+3/2 sin(12 t+11/7)-4472/7) theta(27 pi-t) theta(t-23 pi)+(-150/11 sin(11/7-6 t)-66/7 sin(14/9-4 t)+1171/45 sin(t+33/7)+2223/8 sin(2 t+33/7)+179/12 sin(3 t+11/7)+91/5 sin(5 t+11/7)+459) theta(23 pi-t) theta(t-19 pi)+(-17/5 sin(4/9-10 t)-114/7 sin(9/8-3 t)+279/14 sin(t+12/7)+46/5 sin(2 t+37/11)+93/11 sin(4 t+9/7)+32/11 sin(5 t+1/8)+27/13 sin(6 t+19/9)+36/7 sin(7 t+4/3)+29/9 sin(8 t+9/5)+30/7 sin(9 t+3/5)+27/14 sin(11 t+31/7)+23/15 sin(12 t+7/3)+5/3 sin(13 t+3/7)+6/7 sin(14 t+35/8)+3/7 sin(15 t+7/5)+1/2 sin(16 t+17/8)+1/5 sin(17 t+15/7)+3/7 sin(18 t+7/4)+5/11 sin(19 t+9/5)+2/5 sin(20 t+51/11)+7576/11) theta(19 pi-t) theta(t-15 pi)+(-10/11 sin(5/4-13 t)-4/3 sin(4/11-12 t)-247/6 sin(15/11-3 t)+1149/10 sin(t+29/7)+537/8 sin(2 t+9/4)+163/13 sin(4 t+1/5)+97/9 sin(5 t+53/15)+109/11 sin(6 t+33/10)+35/13 sin(7 t+15/4)+15/7 sin(8 t+17/6)+17/6 sin(9 t+69/17)+21/22 sin(10 t+4/7)+5/6 sin(11 t+38/13)+5/6 sin(14 t+16/5)+5/6 sin(15 t+43/13)+5/7 sin(16 t+3/5)+3/7 sin(17 t+1)+7/10 sin(18 t+3/5)+1/2 sin(19 t+13/9)+3/4 sin(20 t+35/18)+6/11 sin(21 t+17/6)+4/7 sin(22 t+16/7)+6/7 sin(23 t+23/7)+1/11 sin(24 t+29/7)-423/7) theta(15 pi-t) theta(t-11 pi)+(-1/2 sin(7/9-9 t)-159/5 sin(7/6-t)+22/3 sin(2 t+2/7)+157/9 sin(3 t+35/8)+15/4 sin(4 t+16/9)+15/8 sin(5 t+19/10)+49/12 sin(6 t+35/13)+1/3 sin(7 t+10/3)+7/5 sin(8 t+31/7)+sin(10 t+5/8)+3/7 sin(11 t+23/11)+sin(12 t+19/7)-14111/17) theta(11 pi-t) theta(t-7 pi)+(-4/7 sin(1-19 t)-17/11 sin(20/19-13 t)-9/4 sin(6/5-11 t)-104/7 sin(6/5-3 t)-471/8 sin(13/10-t)+55/6 sin(2 t+6/5)+27/11 sin(4 t+3/4)+215/7 sin(5 t+22/5)+23/5 sin(6 t+59/17)+14/3 sin(7 t+1/5)+11/8 sin(8 t+23/8)+15/7 sin(9 t+13/6)+7/4 sin(10 t+31/7)+45/44 sin(12 t+21/10)+11/12 sin(14 t+5/3)+27/26 sin(15 t+14/5)+6/7 sin(16 t+113/28)+1/2 sin(17 t+10/3)+10/11 sin(18 t+21/8)+4/7 sin(20 t+82/27)+8/11 sin(21 t+13/3)-9646/11) theta(7 pi-t) theta(t-3 pi)+(-7/11 sin(1/6-70 t)-2/5 sin(2/3-69 t)-3/5 sin(1/19-68 t)-1/2 sin(3/8-66 t)-1/6 sin(1-64 t)-9/7 sin(11/12-63 t)-8/5 sin(1/7-62 t)-sin(1/7-57 t)-35/18 sin(9/8-56 t)-12/7 sin(1/8-51 t)-10/3 sin(1/3-50 t)-sin(3/10-48 t)-16/15 sin(5/4-45 t)-19/6 sin(4/9-43 t)-33/10 sin(4/7-42 t)-7/6 sin(7/9-39 t)-10/9 sin(11/7-37 t)-26/7 sin(20/13-33 t)-178/59 sin(5/4-28 t)-25/9 sin(5/6-23 t)-92/9 sin(10/7-20 t)-34/3 sin(8/11-15 t)-104/5 sin(4/5-10 t)-106/11 sin(12/13-9 t)-3232/5 sin(4/5-t)+1635/7 sin(2 t+1/6)+224/3 sin(3 t+3/4)+1319/11 sin(4 t+7/15)+1664/11 sin(5 t+25/6)+606/7 sin(6 t+8/5)+253/9 sin(7 t+12/5)+359/7 sin(8 t+8/7)+40/11 sin(11 t+7/5)+820/21 sin(12 t+27/11)+139/11 sin(13 t+25/7)+113/10 sin(14 t+39/10)+57/5 sin(16 t+9/4)+203/17 sin(17 t+2/5)+35/6 sin(18 t+7/9)+16 sin(19 t+23/7)+11/4 sin(21 t+9/7)+13/7 sin(22 t+17/7)+69/4 sin(24 t+27/13)+49/9 sin(25 t+56/13)+37/12 sin(26 t+9/4)+3/2 sin(27 t+23/8)+351/50 sin(29 t+9/5)+30/7 sin(30 t+28/11)+18/5 sin(31 t+9/5)+46/7 sin(32 t+4/7)+43/9 sin(34 t+5/6)+62/21 sin(35 t+4/7)+7/4 sin(36 t+22/15)+20/7 sin(38 t+13/6)+5/7 sin(40 t+13/3)+32/9 sin(41 t+3/4)+22/15 sin(44 t+16/17)+8/5 sin(46 t+17/7)+11/4 sin(47 t+27/7)+5/3 sin(49 t+37/8)+26/7 sin(52 t+9/4)+14/9 sin(53 t+17/5)+22/7 sin(54 t+43/22)+3/2 sin(55 t+9/2)+2/5 sin(58 t+1/2)+8/7 sin(59 t+9/7)+15/16 sin(60 t+4/7)+26/27 sin(61 t+16/9)+12/7 sin(65 t+17/4)+36/35 sin(67 t+56/13)+13/12 sin(71 t+15/4)+15/14 sin(72 t+28/9)+4/7 sin(73 t+40/9)+14/13 sin(74 t+16/7)+3/5 sin(75 t+14/3)+10/7 sin(76 t+21/5)+18/11 sin(77 t+40/13)+7/11 sin(78 t+32/7)+12/11 sin(79 t+29/11)+374/7) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2))))