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x(t) = ((-127/11 sin(32/21-32 t)-324/19 sin(14/9-31 t)-277/11 sin(17/11-27 t)-121/10 sin(3/2-26 t)-111/5 sin(17/11-19 t)-167/9 sin(14/9-18 t)-443/19 sin(14/9-17 t)-131/10 sin(14/9-15 t)-261/11 sin(11/7-11 t)-25/11 sin(13/9-7 t)-238/25 sin(14/9-6 t)7177/13 sin(t11/7)647/11 sin(2 t33/7)853/8 sin(3 t11/7)351/16 sin(4 t11/7)271/14 sin(5 t11/7)75/2 sin(8 t11/7)84/13 sin(9 t19/12)433/13 sin(10 t11/7)451/25 sin(12 t19/12)81/10 sin(13 t8/5)1/2 sin(14 t43/21)14/5 sin(16 t32/21)379/23 sin(20 t19/12)805/31 sin(21 t8/5)419/13 sin(22 t19/12)101/11 sin(23 t8/5)16/7 sin(24 t5/3)115/9 sin(25 t11/7)3/14 sin(28 t56/13)199/8 sin(29 t8/5)7/4 sin(30 t16/9)419/9) theta(91 pi-t) theta(t-87 pi)(-26/9 sin(17/11-19 t)-5/3 sin(32/21-17 t)-7/8 sin(17/12-16 t)-3/5 sin(4/3-13 t)-331/22 sin(14/9-9 t)-219/7 sin(11/7-7 t)-29/8 sin(11/7-6 t)-244/5 sin(14/9-5 t)9618/11 sin(t11/7)693/13 sin(2 t11/7)2387/8 sin(3 t33/7)121/7 sin(4 t61/13)29/7 sin(8 t23/15)21/8 sin(10 t12/7)19/5 sin(11 t47/10)38/25 sin(12 t7/5)37/14 sin(14 t23/14)20/21 sin(15 t11/8)63/31 sin(18 t75/16)-219/7) theta(87 pi-t) theta(t-83 pi)(713/11 sin(t11/7)65/16 sin(2 t11/7)3521/15) theta(83 pi-t) theta(t-79 pi)(916/11 sin(t14/9)59/15 sin(2 t9/8)38/5 sin(3 t17/12)-3360/11) theta(79 pi-t) theta(t-75 pi)(-19/15 sin(9/7-21 t)-52/15 sin(17/11-20 t)-149/12 sin(22/15-18 t)-4/7 sin(19/20-17 t)-8/7 sin(14/9-13 t)-5/16 sin(16/13-12 t)-27/5 sin(11/7-10 t)-19/5 sin(13/9-9 t)-2197/16 sin(17/11-6 t)-25/11 sin(4/3-5 t)31/5 sin(t14/3)179/11 sin(2 t19/12)54/5 sin(3 t11/7)316/13 sin(4 t13/8)32/9 sin(7 t7/5)58/5 sin(8 t47/10)7/11 sin(11 t47/10)16/11 sin(14 t12/7)16/11 sin(15 t5/3)21/4 sin(16 t19/11)13/6 sin(19 t14/9)1276/5) theta(75 pi-t) theta(t-71 pi)(-7/4 sin(20/13-7 t)23/6 sin(t14/9)6/5 sin(2 t51/11)30/13 sin(3 t49/11)913/8 sin(4 t33/7)25/9 sin(5 t16/9)3/13 sin(6 t55/13)9/11 sin(8 t8/5)9/11 sin(9 t28/19)3/14 sin(10 t7/4)3/8 sin(11 t87/22)89/8 sin(12 t47/10)14/11 sin(13 t5/3)5/11 sin(14 t14/9)-2485/8) theta(71 pi-t) theta(t-67 pi)(-350/11 sin(11/7-3 t)458/3 sin(t11/7)281/7 sin(2 t11/7)20/3 sin(4 t14/9)108/13 sin(5 t47/10)17/3 sin(6 t47/10)16/7 sin(7 t11/7)43/13 sin(8 t33/7)26/15 sin(9 t61/13)10/21 sin(10 t14/9)19/10 sin(11 t47/10)3 sin(12 t47/10)19/13 sin(13 t47/10)4/11 sin(14 t5/3)12/13 sin(15 t13/8)5/12 sin(16 t47/10)1/31 sin(17 t3/4)2/9 sin(18 t17/10)-196/11) theta(67 pi-t) theta(t-63 pi)(566/9 sin(t11/7)41/10 sin(2 t11/7)49/8 sin(3 t11/7)9/13 sin(4 t13/8)12/5 sin(5 t11/7)11/16 sin(6 t61/13)2 sin(7 t11/7)6/7 sin(8 t33/7)11/9 sin(9 t11/7)4/9 sin(10 t47/10)5/6 sin(11 t19/12)1/11 sin(12 t41/9)2/11 sin(13 t11/7)1/7 sin(14 t13/8)1/6 sin(15 t11/7)5851/11) theta(63 pi-t) theta(t-59 pi)(-12/25 sin(32/21-4 t)-13/7 sin(11/7-2 t)623/9 sin(t11/7)29/6 sin(3 t11/7)5/3 sin(5 t11/7)-34/7) theta(59 pi-t) theta(t-55 pi)(963/17 sin(t11/7)17/6 sin(2 t5/3)60/7 sin(3 t19/12)11/7 sin(4 t13/8)24/11 sin(5 t13/8)31/30 sin(6 t18/11)15/11 sin(7 t8/5)-5880/11) theta(55 pi-t) theta(t-51 pi)(-5/3 sin(11/7-10 t)-5/4 sin(14/9-8 t)-94/15 sin(14/9-4 t)-319/7 sin(11/7-2 t)-799/16 sin(11/7-t)239/8 sin(3 t11/7)71/6 sin(5 t11/7)25/3 sin(6 t11/7)25/11 sin(7 t11/7)37/10 sin(9 t11/7)3/5 sin(11 t11/7)11/21 sin(12 t11/7)5/4 sin(13 t19/12)2/5 sin(14 t13/8)21/13 sin(15 t19/12)4/7 sin(16 t75/16)7/11 sin(17 t8/5)6740/11) theta(51 pi-t) theta(t-47 pi)(-3/8 sin(11/8-16 t)-16/15 sin(29/19-15 t)-20/21 sin(17/11-13 t)-2/5 sin(19/13-12 t)-11/4 sin(17/11-9 t)-33/16 sin(26/17-7 t)-36/7 sin(17/11-6 t)-339/13 sin(11/7-3 t)1747/46 sin(t11/7)299/5 sin(2 t11/7)139/20 sin(4 t11/7)5/9 sin(5 t65/14)4/3 sin(8 t8/5)7/8 sin(10 t19/12)7/12 sin(11 t17/10)2/11 sin(14 t25/17)-2597/4) theta(47 pi-t) theta(t-43 pi)(1206/7 sin(t11/7)1/4 sin(2 t15/7)59/3 sin(3 t11/7)2/7 sin(4 t11/5)-184/37) theta(43 pi-t) theta(t-39 pi)(-229/23 sin(8/13-t)55/28 sin(2 t4/3)39/5 sin(3 t5/7)21/8 sin(4 t31/8)-3581/14) theta(39 pi-t) theta(t-35 pi)(-1/3 sin(1/21-10 t)-60/11 sin(7/9-t)31/11 sin(2 t58/19)7/4 sin(3 t10/13)53/18 sin(4 t5/9)30/31 sin(5 t52/17)sin(6 t2/11)5/11 sin(7 t19/7)9/17 sin(8 t3/8)1/3 sin(9 t21/5)8/17 sin(11 t31/9)254) theta(35 pi-t) theta(t-31 pi)(347/8 sin(t24/25)-2107/8) theta(31 pi-t) theta(t-27 pi)(224/5 sin(t8/9)253) theta(27 pi-t) theta(t-23 pi)(1278/11 sin(t18/11)5/3 sin(2 t17/6)67/7 sin(3 t27/16)19/12 sin(4 t101/34)41/11 sin(5 t9/5)5/4 sin(6 t73/21)19/10 sin(7 t24/11)13/12 sin(8 t19/5)14/13 sin(9 t24/11)4438/17) theta(23 pi-t) theta(t-19 pi)(-1/12 sin(1/5-6 t)-6/7 sin(19/14-2 t)1190/11 sin(t21/13)110/13 sin(3 t19/10)4/13 sin(4 t2/5)59/15 sin(5 t9/4)23/9 sin(7 t26/11)1/10 sin(8 t14/3)16/11 sin(9 t27/11)-1619/6) theta(19 pi-t) theta(t-15 pi)(1237/7 sin(t16/11)7454/29) theta(15 pi-t) theta(t-11 pi)(4679/26 sin(t8/5)-2482/9) theta(11 pi-t) theta(t-7 pi)(-33/14 sin(5/4-20 t)-92/31 sin(15/11-15 t)-34/9 sin(8/7-14 t)-103/14 sin(17/16-12 t)-36/7 sin(9/10-7 t)-323/27 sin(4/3-6 t)-721/15 sin(6/11-3 t)3777/8 sin(t29/14)1637/8 sin(2 t39/10)138/7 sin(4 t18/5)245/16 sin(5 t107/27)34/5 sin(8 t41/10)41/11 sin(9 t66/19)93/7 sin(10 t29/7)7/3 sin(11 t80/23)20/13 sin(13 t47/10)5/2 sin(16 t37/8)23/7 sin(17 t1/6)43/9 sin(18 t37/8)7/8 sin(19 t1)14/5 sin(21 t22/9)17/9 sin(22 t5/11)32/13 sin(23 t16/5)13/6 sin(24 t29/10)11/4 sin(25 t47/19)6/13 sin(26 t21/8)-199/7) theta(7 pi-t) theta(t-3 pi)(-2/7 sin(2/7-13 t)-13/10 sin(2/3-12 t)-8/5 sin(9/11-10 t)-14/11 sin(6/7-8 t)-19/3 sin(1/6-4 t)-14/3 sin(17/13-2 t)3372/19 sin(t16/11)142/9 sin(3 t11/9)74/13 sin(5 t13/14)22/9 sin(6 t7/15)14/5 sin(7 t4/5)17/10 sin(9 t9/13)20/21 sin(11 t8/5)5/13) theta(3 pi-t) theta(tpi)) theta(sqrt(sgn(sin(t/2))))

y(t) = ((-41/8 sin(20/13-30 t)-77/9 sin(17/11-29 t)-63/2 sin(14/9-24 t)-516/13 sin(14/9-22 t)-586/13 sin(14/9-21 t)-4/3 sin(22/15-17 t)-205/6 sin(14/9-13 t)-129/13 sin(11/7-11 t)-909/11 sin(11/7-9 t)-71/5 sin(11/7-5 t)-426/7 sin(11/7-4 t)-397/7 sin(11/7-3 t)-215/2 sin(11/7-2 t)619/10 sin(t11/7)83/10 sin(6 t8/5)489/14 sin(7 t33/7)25 sin(8 t11/7)167/6 sin(10 t19/12)83/4 sin(12 t11/7)290/17 sin(14 t11/7)476/25 sin(15 t11/7)61/13 sin(16 t23/14)939/16 sin(18 t19/12)181/8 sin(19 t47/10)157/6 sin(20 t11/7)53/5 sin(23 t14/9)17/7 sin(25 t37/8)10 sin(26 t21/13)127/11 sin(27 t13/8)4/11 sin(28 t5/6)151/8 sin(31 t19/12)20/7 sin(32 t18/11)1661/3) theta(91 pi-t) theta(t-87 pi)(-5/2 sin(13/9-19 t)-38/13 sin(3/2-18 t)-46/9 sin(20/13-17 t)-38/11 sin(3/2-16 t)-15/2 sin(35/23-14 t)-59/5 sin(29/19-12 t)-153/20 sin(23/15-11 t)-70/9 sin(31/21-9 t)-274/7 sin(11/7-6 t)-11/7 sin(20/13-5 t)-628/11 sin(17/11-4 t)-8023/9 sin(11/7-2 t)1937/19 sin(t11/7)343/11 sin(3 t47/10)43/6 sin(7 t14/3)607/32 sin(8 t47/10)74/7 sin(10 t33/7)24/5 sin(13 t51/11)43/9 sin(15 t47/10)1183/5) theta(87 pi-t) theta(t-83 pi)(-29/2 sin(11/7-t)265/24 sin(2 t11/7)-2965/13) theta(83 pi-t) theta(t-79 pi)(-7/11 sin(10/13-3 t)-134/9 sin(14/9-t)154/9 sin(2 t17/11)-3005/14) theta(79 pi-t) theta(t-75 pi)(-4/15 sin(23/15-20 t)-2/9 sin(19/15-19 t)-11/9 sin(13/9-18 t)-8/9 sin(10/7-15 t)-21/10 sin(17/11-14 t)-13/9 sin(7/5-13 t)-89/8 sin(3/2-12 t)-101/6 sin(17/11-6 t)-32/7 sin(35/23-5 t)-27/8 sin(11/7-4 t)-7/3 sin(17/11-3 t)-9/5 sin(11/7-2 t)82/7 sin(t11/7)31/11 sin(7 t8/5)23/15 sin(8 t17/10)16/5 sin(9 t13/8)76/11 sin(10 t23/14)5/9 sin(11 t14/9)1/5 sin(16 t40/9)5/16 sin(17 t28/19)9/5 sin(21 t12/7)101/12) theta(75 pi-t) theta(t-71 pi)(-1/15 sin(9/8-12 t)104/11 sin(t11/7)17/6 sin(2 t11/7)31/11 sin(3 t47/10)50/9 sin(4 t33/7)42/13 sin(5 t11/7)9/10 sin(6 t8/5)25/8 sin(7 t65/14)207/13 sin(8 t47/10)11/17 sin(9 t40/9)3/8 sin(10 t14/3)3/2 sin(11 t14/9)2/3 sin(13 t11/7)17/10 sin(14 t14/3)106/11) theta(71 pi-t) theta(t-67 pi)(-46/5 sin(11/7-9 t)-11/7 sin(16/11-5 t)-82/7 sin(11/7-3 t)-739/15 sin(11/7-t)474/7 sin(2 t11/7)176/7 sin(4 t11/7)136/9 sin(6 t11/7)117/7 sin(7 t11/7)31/5 sin(8 t14/9)9/4 sin(10 t14/9)15/7 sin(11 t47/10)9/5 sin(12 t47/10)10/9 sin(13 t14/9)32/11 sin(14 t14/9)3/13 sin(15 t15/11)61/20 sin(16 t14/9)5/8 sin(17 t28/19)8/11 sin(18 t11/7)-9119/20) theta(67 pi-t) theta(t-63 pi)(-28/9 sin(11/7-2 t)545/13 sin(t11/7)43/11 sin(3 t11/7)1/8 sin(4 t22/13)11/8 sin(5 t11/7)25/17 sin(6 t19/12)1/15 sin(7 t12/7)9/7 sin(8 t19/12)1/35 sin(9 t13/3)1/2 sin(10 t19/12)1/5 sin(11 t33/7)1/5 sin(12 t13/8)2/7 sin(13 t8/5)2/7 sin(15 t8/5)-394/3) theta(63 pi-t) theta(t-59 pi)(-43/3 sin(11/7-2 t)-65/14 sin(11/7-t)13/10 sin(3 t33/7)47/10 sin(4 t33/7)5/14 sin(5 t8/5)-1114/7) theta(59 pi-t) theta(t-55 pi)(-4/5 sin(14/9-7 t)-13/10 sin(11/7-5 t)-533/12 sin(11/7-t)68/9 sin(2 t11/7)3/8 sin(3 t49/11)18/5 sin(4 t8/5)9/8 sin(6 t11/7)-1409/9) theta(55 pi-t) theta(t-51 pi)(-2/5 sin(26/17-15 t)-17/7 sin(14/9-7 t)-847/12 sin(11/7-t)19/4 sin(2 t11/7)765/14 sin(3 t11/7)29/5 sin(4 t11/7)174/13 sin(5 t11/7)7/3 sin(6 t11/7)9/13 sin(8 t29/19)1/5 sin(9 t13/9)95/47 sin(10 t33/7)103/26 sin(11 t19/12)3/10 sin(12 t8/5)1/8 sin(13 t19/12)32/21 sin(14 t8/5)1/9 sin(16 t27/14)15/13 sin(17 t8/5)-3343/8) theta(51 pi-t) theta(t-47 pi)(-7/10 sin(14/9-16 t)-28/9 sin(17/11-10 t)-12/5 sin(17/11-8 t)-153/10 sin(11/7-2 t)-848/11 sin(11/7-t)849/16 sin(3 t19/12)34/5 sin(4 t21/13)97/6 sin(5 t19/12)53/7 sin(6 t8/5)4/3 sin(7 t11/7)17/7 sin(9 t11/7)19/12 sin(11 t8/5)15/8 sin(12 t5/3)34/33 sin(13 t13/8)25/26 sin(14 t17/10)9/4 sin(15 t13/8)-3393/8) theta(47 pi-t) theta(t-43 pi)(-2 sin(14/9-4 t)-31/10 sin(11/7-t)116/13 sin(2 t11/7)8/11 sin(3 t33/7)-4967/7) theta(43 pi-t) theta(t-39 pi)(-33/10 sin(4/13-4 t)74/9 sin(t15/7)37/18 sin(2 t49/25)31/4 sin(3 t31/12)-3074/25) theta(39 pi-t) theta(t-35 pi)(-3/11 sin(13/12-11 t)-1/5 sin(11/12-7 t)-13/4 sin(1-2 t)19/5 sin(t7/13)88/25 sin(3 t27/10)53/11 sin(4 t27/11)8/5 sin(5 t46/11)5/6 sin(6 t14/9)3/7 sin(8 t23/8)1/4 sin(9 t9/10)2/9 sin(10 t19/6)-906/7) theta(35 pi-t) theta(t-31 pi)(-306/7 sin(6/11-t)-911/7) theta(31 pi-t) theta(t-27 pi)(-385/8 sin(5/8-t)-955/7) theta(27 pi-t) theta(t-23 pi)(-5/9 sin(2/13-7 t)-8/9 sin(11/8-6 t)-28/29 sin(7/6-5 t)-18/17 sin(23/15-4 t)415/7 sin(t1/14)67/12 sin(2 t39/10)9/17 sin(3 t1/3)3/10 sin(8 t13/12)2/5 sin(9 t25/17)-4227/28) theta(23 pi-t) theta(t-19 pi)(-3/8 sin(1/11-7 t)-26/7 sin(5/8-3 t)-152/3 sin(1/18-t)137/25 sin(2 t128/43)41/15 sin(4 t19/6)16/9 sin(5 t53/12)11/12 sin(6 t41/11)8/9 sin(8 t27/8)5/11 sin(9 t1/21)-1117/8) theta(19 pi-t) theta(t-15 pi)(-526/3 sin(1/9-t)-1219/7) theta(15 pi-t) theta(t-11 pi)(1574/9 sin(t1/22)-979/5) theta(11 pi-t) theta(t-7 pi)(-31/5 sin(1/13-25 t)-101/10 sin(1/6-21 t)-12/7 sin(4/5-15 t)-49/25 sin(1/7-9 t)-149/9 sin(1/5-5 t)-23/6 sin(19/13-4 t)10417/21 sin(t3/7)2849/10 sin(2 t19/8)931/13 sin(3 t37/8)111/8 sin(6 t2/5)164/11 sin(7 t1/3)102/11 sin(8 t1/2)53/10 sin(10 t21/8)18/5 sin(11 t13/6)15/4 sin(12 t10/3)155/39 sin(13 t17/9)68/7 sin(14 t6/13)47/9 sin(16 t24/23)61/13 sin(17 t13/4)395/22 sin(18 t45/22)148/13 sin(19 t4/7)14/9 sin(20 t39/14)40/3 sin(22 t95/21)65/9 sin(23 t43/22)12 sin(24 t1/19)39/5 sin(26 t1/6)-1283/7) theta(7 pi-t) theta(t-3 pi)(-2/9 sin(33/34-13 t)-9/13 sin(2/3-10 t)-22/9 sin(14/11-7 t)-20/7 sin(3/7-3 t)(562 sin(t))/9272/21 sin(2 t9/5)61/11 sin(4 t37/12)24/7 sin(5 t29/11)11/8 sin(6 t4/9)61/60 sin(8 t41/14)1/3 sin(9 t29/28)11/13 sin(11 t17/4)1/2 sin(12 t32/7)-7133/10) theta(3 pi-t) theta(tpi)) theta(sqrt(sgn(sin(t/2))))

Yes, this is a big, long, scary parametric equation. It's also the second Harry-Potter like curve, and you can see what it looks like on Wolfram Alpha. Or not, if you don't really like math. So, pretty much, my all time favorite books are the Harry Potter series!