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Nicolas Cage Curve

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Jun 28th, 2014
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  1. x(t) = ((-41/6 sin(37/24-11 t)-23/14 sin(35/23-6 t)+4445/43 sin(t+63/40)+1977/53 sin(2 t+30/19)+442/25 sin(3 t+49/31)+381/37 sin(4 t+49/31)+44/19 sin(5 t+59/38)+53/13 sin(7 t+67/42)+46/21 sin(8 t+59/37)+85/31 sin(9 t+18/11)+219/43 sin(10 t+67/42)+39/7 sin(12 t+141/88)-15669/34) theta(127 pi-t) theta(t-123 pi)+(5534/33 sin(t+11/7)+176/21 sin(2 t+47/30)+145/9 sin(3 t+96/61)+135/58 sin(4 t+96/61)+161/31 sin(5 t+96/61)+15/11 sin(6 t+53/34)+52/17 sin(7 t+39/25)+6/17 sin(8 t+80/53)+45/28 sin(9 t+31/20)+30/41 sin(10 t+17/11)+31/39 sin(11 t+35/23)+23/42 sin(12 t+334/223)+21697/36) theta(123 pi-t) theta(t-119 pi)+(-291/290 sin(48/31-11 t)-33/37 sin(25/16-9 t)-51/19 sin(113/72-7 t)-124/13 sin(69/44-3 t)-2092/23 sin(69/44-t)+624/23 sin(2 t+85/54)+317/60 sin(4 t+69/44)+82/33 sin(5 t+155/33)+72/31 sin(6 t+25/16)+22/35 sin(8 t+32/21)+19/33 sin(10 t+46/29)+15/59 sin(12 t+58/37)+5867/18) theta(119 pi-t) theta(t-115 pi)+(-9/16 sin(25/16-12 t)-32/45 sin(64/41-10 t)-11/6 sin(47/30-8 t)-150/19 sin(58/37-4 t)-213/10 sin(91/58-2 t)+1002/11 sin(t+11/7)+406/41 sin(3 t+113/72)+59/20 sin(5 t+36/23)+48/31 sin(6 t+155/33)+49/30 sin(7 t+30/19)+41/33 sin(9 t+11/7)+10/21 sin(11 t+30/19)+307/25) theta(115 pi-t) theta(t-111 pi)+(-12/19 sin(50/33-23 t)-1341/11 sin(58/37-2 t)+6968/7 sin(t+47/30)+4234/33 sin(3 t+47/30)+2613/55 sin(4 t+108/23)+1417/20 sin(5 t+75/16)+125/24 sin(6 t+95/61)+743/26 sin(7 t+108/23)+155/28 sin(8 t+121/26)+59/36 sin(9 t+23/14)+184/17 sin(10 t+163/35)+343/50 sin(11 t+77/48)+31/33 sin(12 t+83/19)+169/36 sin(13 t+101/22)+396/37 sin(14 t+37/24)+189/22 sin(15 t+79/17)+178/21 sin(16 t+139/30)+5/2 sin(17 t+31/18)+244/17 sin(18 t+397/85)+381/40 sin(19 t+61/41)+245/33 sin(20 t+74/49)+1487/63 sin(21 t+245/53)+268/19 sin(22 t+119/26)+493/27 sin(24 t+47/32)+214/27 sin(25 t+38/25)+937/38 sin(26 t+143/31)+19/20 sin(27 t+194/57)+379/43 sin(28 t+29/20)+47/6 sin(29 t+49/34)+184/35 sin(30 t+155/34)+379/37 sin(31 t+73/16)+19/10 sin(32 t+35/8)+79/46 sin(33 t+45/31)+201/32 sin(34 t+52/37)+201/34 sin(35 t+31/21)+127/38 sin(36 t+125/28)+233/23 sin(37 t+145/32)+985/179 sin(38 t+95/21)+65/33 sin(39 t+206/47)+4/11 sin(40 t+92/21)+32/29 sin(41 t+77/40)+245/58 sin(42 t+190/43)+37/40 sin(43 t+136/39)+268/23 sin(44 t+137/31)+2094/103 sin(45 t+114/25)+415/24 sin(46 t+32/21)+173/11 sin(47 t+97/21)+41/9 sin(48 t+20/13)+105/22 sin(49 t+57/37)+692/39 sin(50 t+178/39)+227/55 sin(51 t+1303/651)+198/19 sin(52 t+127/27)+40441/98) theta(111 pi-t) theta(t-107 pi)+(-32/63 sin(113/72-11 t)-62/37 sin(102/65-7 t)-412/13 sin(58/37-3 t)+1719/25 sin(t+11/7)+640/23 sin(2 t+11/7)+158/41 sin(4 t+41/26)+35/18 sin(5 t+127/27)+143/37 sin(6 t+47/30)+12/7 sin(8 t+107/68)+35/43 sin(9 t+108/23)+1/8 sin(10 t+55/37)+16/27 sin(12 t+49/31)-125/21) theta(107 pi-t) theta(t-103 pi)+(-175/41 sin(14/9-4 t)+1703/24 sin(t+41/26)+395/44 sin(2 t+30/19)+270/19 sin(3 t+46/29)+51/28 sin(5 t+39/25)+143/35 sin(6 t+34/21)+41/48 sin(7 t+14/9)+19/41 sin(8 t+261/56)+29/31 sin(9 t+115/72)+17/12 sin(10 t+47/29)+1/17 sin(11 t+37/8)+1/7 sin(12 t+20/13)-5317/51) theta(103 pi-t) theta(t-99 pi)+(-737/39 sin(102/65-6 t)-607/36 sin(58/37-2 t)+9365/31 sin(t+58/37)+830/39 sin(3 t+108/23)+927/49 sin(4 t+39/25)+697/30 sin(5 t+58/37)+551/23 sin(7 t+39/25)+27/68 sin(8 t+7/6)+2503/139 sin(9 t+131/28)+137/15 sin(10 t+164/35)+295/33 sin(11 t+38/25)+183/43 sin(12 t+45/29)+3091/25) theta(99 pi-t) theta(t-95 pi)+(-17/22 sin(39/25-11 t)-14/23 sin(17/11-10 t)-11/19 sin(17/11-8 t)-32/33 sin(39/25-7 t)-13/28 sin(29/19-6 t)-95/31 sin(69/44-5 t)-3004/21 sin(102/65-t)+1061/42 sin(2 t+11/7)+250/21 sin(3 t+212/45)+21/32 sin(4 t+63/40)+2/3 sin(9 t+127/27)+1/11 sin(12 t+8/5)-14953/40) theta(95 pi-t) theta(t-91 pi)+(-47/43 sin(14/9-11 t)-56/25 sin(81/52-9 t)-14/13 sin(31/20-8 t)-77/19 sin(87/56-6 t)-157/64 sin(25/16-5 t)-271/31 sin(91/58-3 t)-553/22 sin(69/44-t)+1360/53 sin(2 t+11/7)+628/35 sin(4 t+52/33)+239/47 sin(7 t+30/19)+21/20 sin(10 t+59/38)+20/23 sin(12 t+107/67)+29464/83) theta(91 pi-t) theta(t-87 pi)+(10364/49 sin(t+74/47)+167/51 sin(2 t+131/28)+1605/112 sin(3 t+58/37)+11/6 sin(4 t+177/38)+217/44 sin(5 t+113/72)+127062/199) theta(87 pi-t) theta(t-83 pi)+(-497/113 sin(11/7-5 t)-152/25 sin(102/65-4 t)-330/29 sin(58/37-3 t)-321/14 sin(11/7-2 t)-5533/25 sin(11/7-t)-58175/288) theta(83 pi-t) theta(t-79 pi)+(-21/20 sin(36/23-21 t)-8/27 sin(45/29-15 t)-9/23 sin(32/23-12 t)-22/13 sin(17/11-5 t)-339/19 sin(36/23-t)+5490/37 sin(2 t+85/54)+123/16 sin(3 t+58/37)+551/69 sin(4 t+74/47)+447/31 sin(6 t+30/19)+22/29 sin(7 t+43/28)+25/33 sin(8 t+31/20)+37/59 sin(9 t+8/5)+109/15 sin(10 t+30/19)+13/12 sin(11 t+61/13)+14/25 sin(13 t+108/65)+119/53 sin(14 t+30/19)+3/23 sin(16 t+45/29)+14/57 sin(17 t+42/25)+37/25 sin(18 t+107/68)+7/36 sin(19 t+143/31)+79/99 sin(20 t+30/19)+1/5 sin(22 t+37/24)+13/51 sin(23 t+51/31)+19361/33) theta(79 pi-t) theta(t-75 pi)+(-1/23 sin(131/105-19 t)-27/34 sin(69/44-17 t)-29/21 sin(25/16-11 t)+604/29 sin(t+11/7)+4556/35 sin(2 t+11/7)+169/45 sin(3 t+103/22)+199/19 sin(4 t+46/29)+13/19 sin(5 t+88/19)+389/29 sin(6 t+52/33)+17/13 sin(7 t+61/39)+22/45 sin(8 t+30/19)+31/30 sin(9 t+47/10)+59/13 sin(10 t+107/68)+34/27 sin(12 t+21/13)+8/29 sin(13 t+193/42)+11/7 sin(14 t+19/12)+16/43 sin(15 t+53/33)+19/17 sin(16 t+19/12)+59/50 sin(18 t+19/12)+8/41 sin(20 t+53/34)+4/25 sin(21 t+31/20)+23/25 sin(22 t+62/39)+5/21 sin(23 t+51/11)+2/3 sin(24 t+21/13)+9/23 sin(25 t+31/19)+1/189 sin(26 t+39/35)+25/32 sin(27 t+113/72)-7157/24) theta(75 pi-t) theta(t-71 pi)+(-15/14 sin(32/21-26 t)-1823/304 sin(36/23-24 t)-203/30 sin(71/46-17 t)-133/24 sin(44/29-16 t)-50/7 sin(53/34-10 t)+5435/28 sin(t+11/7)+722/25 sin(2 t+30/19)+535/24 sin(3 t+41/26)+1188/35 sin(4 t+80/51)+157/49 sin(5 t+61/13)+436/21 sin(6 t+113/72)+46/39 sin(7 t+29/18)+79/14 sin(8 t+52/33)+28/11 sin(9 t+31/20)+46/15 sin(11 t+23/15)+57/28 sin(12 t+108/23)+217/37 sin(13 t+71/44)+203/31 sin(14 t+37/23)+31/25 sin(15 t+49/31)+43/13 sin(18 t+35/22)+143/30 sin(19 t+37/23)+7/17 sin(20 t+61/13)+45/31 sin(21 t+20/13)+47/38 sin(22 t+134/29)+246/31 sin(23 t+41/26)+29/37 sin(25 t+62/45)+40/31 sin(27 t+8/5)+7376/11) theta(71 pi-t) theta(t-67 pi)+(-19/3 sin(87/56-26 t)-158/19 sin(113/72-24 t)-65/12 sin(65/42-22 t)-283/22 sin(39/25-19 t)-875/146 sin(36/23-7 t)+6221/26 sin(t+11/7)+269/38 sin(2 t+91/58)+212/15 sin(3 t+85/54)+1436/287 sin(4 t+49/31)+575/38 sin(5 t+41/26)+102/25 sin(6 t+36/23)+23/30 sin(8 t+203/45)+179/26 sin(9 t+113/72)+61/18 sin(10 t+11/7)+425/41 sin(11 t+41/26)+10/17 sin(12 t+253/169)+238/25 sin(13 t+212/45)+54/29 sin(14 t+135/29)+133/30 sin(15 t+62/39)+816/815 sin(16 t+188/125)+661/37 sin(17 t+30/19)+497/51 sin(18 t+49/31)+70/19 sin(20 t+34/21)+42/25 sin(21 t+49/32)+44/39 sin(23 t+21/13)+191/33 sin(25 t+69/44)+173/40 sin(27 t+107/67)-2129/12) theta(67 pi-t) theta(t-63 pi)+(-215/19 sin(25/16-11 t)-809/18 sin(53/34-3 t)+2209/33 sin(t+58/37)+15226/33 sin(2 t+107/68)+4854/73 sin(4 t+63/40)+1307/32 sin(5 t+52/33)+165/8 sin(6 t+91/58)+842/27 sin(7 t+146/31)+789/35 sin(8 t+52/33)+653/34 sin(9 t+49/31)+316/37 sin(10 t+30/19)+227/23 sin(12 t+27/17)+10290/31) theta(63 pi-t) theta(t-59 pi)+(10613/23 sin(t+63/40)+7/11 sin(2 t+190/51)+953/18 sin(3 t+41/26)+20/31 sin(4 t+75/31)+872/47 sin(5 t+27/17)+2/11 sin(6 t+101/30)+243/26 sin(7 t+157/98)+5/44 sin(8 t+98/29)+98/17 sin(9 t+49/31)+4/7 sin(10 t+35/18)+125/33 sin(11 t+43/27)+4/23 sin(12 t+119/27)+8771/26) theta(59 pi-t) theta(t-55 pi)+(-6/13 sin(58/37-12 t)-30/37 sin(23/15-10 t)-19/113 sin(13/9-9 t)-166/95 sin(53/34-8 t)-11/32 sin(47/31-7 t)-35/19 sin(36/23-6 t)-367/51 sin(25/16-4 t)-160/21 sin(39/25-3 t)-937/30 sin(58/37-2 t)+2049/44 sin(t+11/7)+27/37 sin(5 t+35/23)+5/31 sin(11 t+41/26)-14153/113) theta(55 pi-t) theta(t-51 pi)+(5717/21 sin(t+11/7)+97/38 sin(2 t+35/22)+863/28 sin(3 t+74/47)+19/20 sin(4 t+163/35)+148/13 sin(5 t+52/33)+1/3 sin(6 t+143/32)+133/24 sin(7 t+63/40)-788/15) theta(51 pi-t) theta(t-47 pi)+(-143/107 sin(42/41-71 t)-50/37 sin(33/25-70 t)-158/49 sin(71/57-68 t)-29/20 sin(144/103-66 t)-49/31 sin(36/29-64 t)-203/62 sin(39/32-61 t)-438/175 sin(39/31-59 t)-21/23 sin(38/29-57 t)-26/23 sin(37/32-56 t)-59/33 sin(19/15-54 t)-56/33 sin(37/27-53 t)-189/38 sin(35/27-52 t)-19/26 sin(15/11-50 t)-145/46 sin(41/31-49 t)-130/31 sin(29/23-47 t)-81/29 sin(26/21-45 t)-74/21 sin(35/27-44 t)-38/13 sin(75/53-42 t)-595/62 sin(43/31-40 t)-15/22 sin(40/31-38 t)-172/31 sin(183/137-36 t)-428/93 sin(102/73-35 t)-173/34 sin(41/29-33 t)-203/31 sin(25/18-31 t)-84/37 sin(58/43-29 t)-67/25 sin(21/16-28 t)-117/38 sin(50/37-26 t)-126/29 sin(19/13-24 t)-284/37 sin(217/145-22 t)-121/24 sin(46/31-17 t)-79/20 sin(59/39-15 t)-293/27 sin(172/115-13 t)-784/51 sin(119/79-12 t)-42/5 sin(41/27-10 t)-1150/27 sin(20/13-9 t)-437/13 sin(41/27-8 t)-475/6 sin(44/29-5 t)-1459/35 sin(36/23-4 t)-28762/23 sin(39/25-2 t)+819/20 sin(t+18/11)+1291/24 sin(3 t+47/29)+6283/40 sin(6 t+109/68)+1174/25 sin(7 t+27/17)+655/19 sin(11 t+31/19)+113/33 sin(14 t+173/99)+110/39 sin(16 t+8/5)+539/30 sin(18 t+43/26)+29/12 sin(19 t+19/12)+412/35 sin(20 t+37/22)+178/31 sin(21 t+112/67)+142/25 sin(23 t+131/75)+119/39 sin(25 t+39/23)+473/61 sin(27 t+46/27)+376/55 sin(30 t+29/16)+53/44 sin(32 t+23/5)+291/56 sin(34 t+50/29)+293/147 sin(37 t+17/10)+103/43 sin(39 t+51/29)+31/28 sin(41 t+35/19)+5/11 sin(43 t+43/25)+268/89 sin(46 t+63/34)+3/11 sin(48 t+55/12)+13/35 sin(51 t+75/38)+31/39 sin(55 t+65/37)+17/27 sin(58 t+73/40)+95/47 sin(60 t+44/23)+1/4 sin(62 t+198/73)+2/15 sin(63 t+47/32)+91/58 sin(65 t+50/27)+23/32 sin(67 t+67/40)+151/63 sin(69 t+60/31)+8/27 sin(72 t+117/40)+2/7 sin(73 t+36/25)+8067/34) theta(47 pi-t) theta(t-43 pi)+(-6/35 sin(55/36-12 t)-91/44 sin(18/17-11 t)-241/29 sin(7/50-5 t)-401/32 sin(7/30-3 t)+2535/28 sin(t+109/55)+205/22 sin(2 t+145/33)+363/25 sin(4 t+113/43)+148/25 sin(6 t+77/23)+3/10 sin(7 t+43/41)+43/32 sin(8 t+285/89)+80/29 sin(9 t+212/49)+9/29 sin(10 t+112/111)+34942/31) theta(43 pi-t) theta(t-39 pi)+(-51/13 sin(33/26-11 t)-129/47 sin(113/85-9 t)-343/61 sin(71/46-8 t)-100/19 sin(15/28-7 t)-44/5 sin(23/35-6 t)+33395/48 sin(t+40/31)+1081/7 sin(2 t+40/31)+414/29 sin(3 t+7/22)+653/34 sin(4 t+1/499)+34/5 sin(5 t+54/29)+73/22 sin(10 t+93/26)+59/21 sin(12 t+91/25)+19/29 sin(13 t+99/29)+23/24 sin(14 t+131/34)+14/17 sin(15 t+71/19)+31/29 sin(16 t+51/28)+11/26 sin(17 t+43/27)-12621/34) theta(39 pi-t) theta(t-35 pi)+(-427/37 sin(50/41-4 t)-761/55 sin(9/35-3 t)-1046/21 sin(17/23-t)+1376/33 sin(2 t+35/29)+2078/189 sin(5 t+49/15)+277/57 sin(6 t+74/59)+87/62 sin(7 t+109/28)+19/21 sin(8 t+176/47)+24/47 sin(9 t+73/16)+42/19 sin(10 t+32/21)+13/6 sin(11 t+155/37)+85/66 sin(12 t+7/19)-22045/22) theta(35 pi-t) theta(t-31 pi)+(-16/15 sin(41/35-6 t)-101/18 sin(25/43-4 t)-49/3 sin(24/37-3 t)+106/33 sin(t+13/12)+397/44 sin(2 t+47/19)+39/34 sin(5 t+28/37)+67/56 sin(7 t+23/16)+23/27 sin(8 t+25/6)+23/31 sin(9 t+8/65)+3/22 sin(10 t+93/23)+53/80 sin(11 t+19/22)+13/35 sin(12 t+84/23)+13643/24) theta(31 pi-t) theta(t-27 pi)+(-21/46 sin(21/22-11 t)-121/35 sin(61/50-5 t)+366/35 sin(t+83/50)+59/31 sin(2 t+86/45)+549/49 sin(3 t+171/64)+123/11 sin(4 t+51/22)+51/25 sin(6 t+118/117)+33/40 sin(7 t+81/22)+31/52 sin(8 t+97/27)+19/56 sin(9 t+313/78)+13/30 sin(10 t+70/17)+25/42 sin(12 t+123/35)-15811/54) theta(27 pi-t) theta(t-23 pi)+(789/11 sin(t+94/63)+28367/50) theta(23 pi-t) theta(t-19 pi)+(2321/36 sin(t+69/59)-12515/42) theta(19 pi-t) theta(t-15 pi)+(-19/21 sin(86/57-9 t)-66/29 sin(13/45-6 t)-93/34 sin(24/35-4 t)-243/61 sin(27/25-2 t)+5102/31 sin(t+209/104)+921/52 sin(3 t+59/20)+156/25 sin(5 t+18/5)+134/51 sin(7 t+131/31)+103/42 sin(8 t+1/33)+103/52 sin(10 t+4/13)+5/39 sin(11 t+105/31)+89/74 sin(12 t+26/37)+22439/36) theta(15 pi-t) theta(t-11 pi)+(5413/35 sin(t+52/33)+124/23 sin(2 t+187/49)+427/36 sin(3 t+107/57)+193/56 sin(4 t+232/65)+52/15 sin(5 t+123/52)+38/17 sin(6 t+61/17)+13/9 sin(7 t+37/13)+49/31 sin(8 t+142/37)+37/34 sin(9 t+98/31)+27/26 sin(10 t+61/15)+42/41 sin(11 t+84/25)+35/69 sin(12 t+81/19)-8263/34) theta(11 pi-t) theta(t-7 pi)+(3437/11 sin(t+65/37)+311/33 sin(2 t+28/11)+1723/61 sin(3 t+53/27)+266/37 sin(4 t+142/41)+276/29 sin(5 t+39/19)+70/17 sin(6 t+190/51)+71/12 sin(7 t+62/27)+76/27 sin(8 t+109/25)+119/38 sin(9 t+70/27)+51/31 sin(10 t+59/14)+16/9 sin(11 t+298/99)+32/27 sin(12 t+94/21)-1211/23) theta(7 pi-t) theta(t-3 pi)+(-319/106 sin(58/77-14 t)-142/19 sin(74/49-13 t)-680/27 sin(8/17-9 t)-1073/33 sin(31/28-2 t)+34773/29 sin(t+46/41)+3826/37 sin(3 t+97/32)+6839/103 sin(4 t+133/40)+125/6 sin(5 t+45/11)+563/13 sin(6 t+107/41)+394/33 sin(7 t+25/21)+211/28 sin(8 t+95/36)+309/20 sin(10 t+41/37)+175/29 sin(11 t+191/50)+239/32 sin(12 t+21/11)+112/29 sin(15 t+78/29)+70/19 sin(16 t+90/23)+40/11 sin(17 t+5/27)+213/37 sin(18 t+49/19)+2936/27) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2)))) y(t) = ((-148/39 sin(32/21-11 t)-137/26 sin(45/29-7 t)-267/20 sin(53/34-5 t)-628/75 sin(39/25-2 t)-791/8 sin(47/30-t)+59/15 sin(3 t+117/73)+7/20 sin(4 t+52/33)+167/44 sin(6 t+41/26)+120/41 sin(8 t+19/12)+3/2 sin(9 t+41/25)+59/44 sin(10 t+11/7)+26/61 sin(12 t+65/42)+618/23) theta(127 pi-t) theta(t-123 pi)+(-223/52 sin(58/37-5 t)-106/17 sin(47/30-3 t)-587/12 sin(102/65-t)+547/21 sin(2 t+11/7)+146/35 sin(4 t+74/47)+76/29 sin(6 t+11/7)+20/23 sin(7 t+80/17)+10/21 sin(8 t+20/13)+56/55 sin(9 t+80/17)+21/16 sin(10 t+47/30)+18/23 sin(11 t+245/52)+71/72 sin(12 t+47/30)-2681/25) theta(123 pi-t) theta(t-119 pi)+(-21/38 sin(32/21-12 t)-17/26 sin(43/28-11 t)-3/8 sin(32/21-10 t)-74/47 sin(66/43-9 t)-18/23 sin(68/45-8 t)-17/19 sin(20/13-7 t)-97/34 sin(53/34-6 t)-44/17 sin(39/25-5 t)-87/14 sin(67/43-4 t)-160/29 sin(73/47-3 t)-786/31 sin(61/39-2 t)-1022/9 sin(58/37-t)+5161/37) theta(119 pi-t) theta(t-115 pi)+(37174/247 sin(t+11/7)+305/22 sin(2 t+11/7)+567/43 sin(3 t+69/44)+173/34 sin(4 t+36/23)+175/36 sin(5 t+58/37)+29/27 sin(6 t+37/23)+75/29 sin(7 t+35/22)+17/14 sin(8 t+46/29)+38/27 sin(9 t+96/61)+39/79 sin(10 t+39/25)+46/39 sin(11 t+11/7)+11/30 sin(12 t+55/36)+3064/31) theta(115 pi-t) theta(t-111 pi)+(-20/47 sin(44/31-41 t)-6/53 sin(7/29-40 t)+6906/29 sin(t+80/17)+7262/15 sin(2 t+193/41)+971/37 sin(3 t+37/8)+14740/59 sin(4 t+47/10)+430/21 sin(5 t+257/154)+1849/40 sin(6 t+211/45)+49/36 sin(7 t+31/10)+472/33 sin(8 t+79/17)+853/38 sin(9 t+97/21)+132/5 sin(10 t+107/23)+340/29 sin(11 t+151/33)+325/14 sin(12 t+229/49)+296/27 sin(13 t+41/26)+425/48 sin(14 t+202/43)+43/14 sin(15 t+194/43)+342/49 sin(16 t+155/34)+502/67 sin(17 t+94/21)+181/19 sin(18 t+163/35)+334/53 sin(19 t+37/26)+944/41 sin(20 t+40/27)+316/37 sin(21 t+292/65)+5044/77 sin(22 t+88/19)+648/31 sin(23 t+94/63)+1724/25 sin(24 t+37/25)+893/27 sin(25 t+97/21)+2620/43 sin(26 t+152/33)+1131/38 sin(27 t+77/51)+721/29 sin(28 t+33/23)+75/17 sin(29 t+164/35)+67/31 sin(30 t+111/25)+16 sin(31 t+95/21)+1145/48 sin(32 t+197/43)+309/28 sin(33 t+68/47)+352/31 sin(34 t+41/28)+70/19 sin(35 t+95/21)+614/91 sin(36 t+54/35)+341/26 sin(37 t+409/91)+1095/56 sin(38 t+73/16)+602/59 sin(39 t+37/25)+171/23 sin(42 t+38/25)+178/11 sin(43 t+132/29)+23/27 sin(44 t+137/34)+33/20 sin(45 t+68/53)+28/29 sin(46 t+105/23)+265/24 sin(47 t+53/38)+103/28 sin(48 t+34/25)+69/13 sin(49 t+109/24)+47/34 sin(50 t+21/16)+128/19 sin(51 t+94/21)+71/9 sin(52 t+55/12)+54484/41) theta(111 pi-t) theta(t-107 pi)+(-5/29 sin(48/31-11 t)-681/34 sin(58/37-t)+339/4 sin(2 t+118/75)+353/31 sin(3 t+96/61)+243/50 sin(4 t+58/37)+39/19 sin(5 t+30/19)+99/31 sin(6 t+58/37)+23/27 sin(7 t+25/16)+134/41 sin(8 t+47/30)+11/13 sin(9 t+19/12)+41/29 sin(10 t+47/30)+41/27 sin(12 t+41/26)-41676/53) theta(107 pi-t) theta(t-103 pi)+(-19/26 sin(54/35-11 t)-7/33 sin(28/23-8 t)-204/25 sin(45/29-5 t)+196/39 sin(t+19/12)+271/25 sin(2 t+52/33)+707/55 sin(3 t+35/22)+61/22 sin(4 t+61/39)+1103/147 sin(6 t+67/42)+7/8 sin(7 t+164/35)+4/9 sin(9 t+124/27)+45/32 sin(10 t+27/17)+6/11 sin(12 t+69/43)-44129/37) theta(103 pi-t) theta(t-99 pi)+(-293/26 sin(59/38-9 t)-117/17 sin(82/55-7 t)+1333/14 sin(t+212/45)+2475/53 sin(2 t+146/31)+2813/23 sin(3 t+80/17)+3686/41 sin(4 t+221/47)+1888/29 sin(5 t+127/27)+193/22 sin(6 t+95/61)+683/23 sin(8 t+45/29)+421/30 sin(10 t+135/29)+779/27 sin(11 t+108/23)+224/23 sin(12 t+36/23)-24638/41) theta(99 pi-t) theta(t-95 pi)+(-2/23 sin(25/16-12 t)-147/73 sin(64/41-11 t)-73/21 sin(36/23-9 t)-127/22 sin(25/16-7 t)-377/36 sin(58/37-5 t)-1421/82 sin(69/44-2 t)-7679/37 sin(102/65-t)+143/6 sin(3 t+245/52)+3/28 sin(4 t+70/41)+2/3 sin(6 t+287/191)+7/13 sin(8 t+83/55)+7/17 sin(10 t+50/33)-11911/19) theta(95 pi-t) theta(t-91 pi)+(-121/43 sin(87/56-8 t)-155/16 sin(39/25-7 t)-160/21 sin(45/29-6 t)-14/29 sin(21/16-2 t)+566/25 sin(t+47/30)+258/47 sin(3 t+202/43)+2134/43 sin(4 t+30/19)+21/16 sin(5 t+65/14)+111/43 sin(9 t+169/36)+29/33 sin(10 t+146/31)+94/23 sin(11 t+212/45)+92/61 sin(12 t+21/13)+7610/23) theta(91 pi-t) theta(t-87 pi)+(-18/13 sin(38/25-5 t)-789/59 sin(36/23-4 t)-1214/23 sin(36/23-2 t)-191/11 sin(61/39-t)+16/81 sin(3 t+21/20)+4923/31) theta(87 pi-t) theta(t-83 pi)+(-34/41 sin(47/30-5 t)-502/35 sin(69/44-4 t)-1564/27 sin(91/58-2 t)+2114/31 sin(t+11/7)+315/32 sin(3 t+74/47)+9515/31) theta(83 pi-t) theta(t-79 pi)+(-24/31 sin(25/16-23 t)-80/31 sin(17/11-22 t)-124/51 sin(31/20-19 t)-24/37 sin(59/38-18 t)-23/25 sin(25/16-15 t)-7/34 sin(71/47-14 t)-19/42 sin(39/25-13 t)-9/10 sin(58/37-12 t)-113/43 sin(67/43-11 t)-99/61 sin(25/16-9 t)-78/29 sin(39/25-7 t)-83/11 sin(58/37-4 t)-885/37 sin(47/30-3 t)-807/43 sin(58/37-2 t)+2871/26 sin(t+11/7)+33/53 sin(5 t+45/28)+59/36 sin(6 t+52/33)+17/29 sin(8 t+68/43)+17/38 sin(10 t+43/27)+7/40 sin(16 t+43/27)+13/42 sin(17 t+27/17)+2/7 sin(20 t+51/32)+14/45 sin(21 t+509/109)+213/4) theta(79 pi-t) theta(t-75 pi)+(-16/35 sin(48/31-23 t)-19/34 sin(54/35-22 t)-9/14 sin(36/23-21 t)-29/32 sin(49/32-20 t)-11/13 sin(23/15-19 t)-29/27 sin(14/9-17 t)-46/37 sin(53/34-16 t)-45/41 sin(36/23-15 t)-61/71 sin(17/11-14 t)-25/28 sin(41/27-13 t)-351/88 sin(25/16-11 t)-217/44 sin(53/34-10 t)-9/5 sin(20/13-9 t)-39/47 sin(25/16-8 t)-107/34 sin(69/44-7 t)-68/35 sin(48/31-6 t)-618/25 sin(69/44-3 t)-1165/31 sin(69/44-2 t)+1137/13 sin(t+11/7)+65/21 sin(4 t+107/68)+55/27 sin(5 t+14/9)+13/16 sin(12 t+20/13)+17/13 sin(18 t+49/31)+70/37 sin(24 t+109/68)+43/26 sin(25 t+37/23)+7/13 sin(26 t+75/16)+41/37 sin(27 t+21/13)+6791/30) theta(75 pi-t) theta(t-71 pi)+(-302/37 sin(36/23-24 t)-100/23 sin(26/17-17 t)-347/38 sin(43/28-16 t)-13/20 sin(73/51-15 t)-174/37 sin(53/34-11 t)-177/34 sin(71/46-10 t)-239/36 sin(39/25-9 t)-209/28 sin(69/44-8 t)-23/15 sin(73/47-7 t)-421/28 sin(91/58-6 t)-58/19 sin(48/31-5 t)-557/31 sin(91/58-4 t)-35/9 sin(58/37-3 t)+37/11 sin(t+113/24)+47/8 sin(2 t+113/24)+132/71 sin(12 t+35/22)+91/24 sin(13 t+57/35)+143/46 sin(14 t+47/29)+39/35 sin(18 t+31/19)+33/14 sin(19 t+64/39)+76/41 sin(20 t+58/37)+98/29 sin(21 t+80/17)+50/29 sin(22 t+31/19)+333/64 sin(23 t+52/33)+11/28 sin(25 t+19/16)+11/27 sin(26 t+54/37)+21/11 sin(27 t+108/23)+7517/30) theta(71 pi-t) theta(t-67 pi)+(-52/17 sin(54/35-27 t)-164/25 sin(47/30-18 t)-541/41 sin(58/37-17 t)-125/21 sin(36/23-11 t)-61/43 sin(36/23-9 t)-62/19 sin(58/37-6 t)-249/34 sin(39/25-5 t)-638/49 sin(91/58-4 t)-64/3 sin(58/37-2 t)+436/11 sin(t+212/45)+145/32 sin(3 t+80/17)+199/25 sin(7 t+41/26)+156/49 sin(8 t+63/41)+116/23 sin(10 t+127/27)+4/9 sin(12 t+31/19)+193/20 sin(13 t+52/33)+60/17 sin(14 t+39/25)+99/197 sin(15 t+32/21)+19/56 sin(16 t+53/12)+313/21 sin(19 t+30/19)+7/4 sin(20 t+37/24)+4/9 sin(21 t+361/82)+151/33 sin(22 t+37/23)+45/11 sin(23 t+58/37)+106/17 sin(24 t+102/65)+185/62 sin(25 t+47/10)+24/17 sin(26 t+76/47)+14972/37) theta(67 pi-t) theta(t-63 pi)+(-542/57 sin(25/16-12 t)-308/29 sin(53/34-11 t)-310/17 sin(61/39-6 t)-353/12 sin(36/23-5 t)-887/14 sin(80/51-2 t)-3226/37 sin(102/65-t)+1575/32 sin(3 t+63/40)+1092/41 sin(4 t+74/47)+622/25 sin(7 t+52/33)+743/42 sin(8 t+30/19)+11/16 sin(9 t+75/16)+29/11 sin(10 t+65/41)+9697/17) theta(63 pi-t) theta(t-59 pi)+(-28/37 sin(80/51-7 t)-18/7 sin(14/9-5 t)-17/16 sin(85/57-2 t)-3339/38 sin(47/30-t)+17/19 sin(3 t+38/23)+74/19 sin(4 t+11/7)+41/45 sin(6 t+41/26)+19/33 sin(8 t+107/68)+11/26 sin(9 t+39/22)+63/16 sin(10 t+8/5)+17/40 sin(11 t+273/59)+17/24 sin(12 t+35/22)+16949/23) theta(59 pi-t) theta(t-55 pi)+(-7/17 sin(48/31-12 t)-6/55 sin(39/25-11 t)-14/57 sin(65/42-8 t)-2439/122 sin(47/30-2 t)-514/25 sin(58/37-t)+14/37 sin(3 t+68/45)+47/19 sin(4 t+19/12)+71/24 sin(5 t+19/12)+5/18 sin(6 t+93/20)+71/106 sin(7 t+47/30)+27/68 sin(9 t+30/19)+1/113 sin(10 t+129/64)-74489/48) theta(55 pi-t) theta(t-51 pi)+(-27/31 sin(39/25-7 t)-11/5 sin(39/25-6 t)-20/37 sin(14/9-5 t)-89/18 sin(47/30-4 t)-57/58 sin(53/34-3 t)-1389/29 sin(102/65-t)+245/17 sin(2 t+11/7)-19077/20) theta(51 pi-t) theta(t-47 pi)+(-23/21 sin(41/43-73 t)-50/17 sin(17/13-70 t)-43/29 sin(59/43-66 t)-36/31 sin(33/26-61 t)-65/42 sin(29/21-48 t)-31/37 sin(381/380-47 t)-241/48 sin(42/31-43 t)-180/31 sin(31/22-42 t)-61/37 sin(31/23-40 t)-10/19 sin(2/27-39 t)-8/3 sin(4/3-38 t)-234/47 sin(29/21-36 t)-311/39 sin(80/57-35 t)-307/38 sin(22/15-34 t)-203/44 sin(32/25-31 t)-193/45 sin(37/24-30 t)-112/33 sin(118/79-26 t)-621/40 sin(38/25-22 t)-731/11 sin(54/35-8 t)-2494/23 sin(31/20-5 t)-17599/24 sin(45/29-4 t)-7841/20 sin(25/16-t)+2995/16 sin(2 t+19/12)+3039/22 sin(3 t+62/39)+1368/35 sin(6 t+31/19)+2302/35 sin(7 t+41/26)+50/29 sin(9 t+27/25)+833/25 sin(10 t+18/11)+4081/36 sin(11 t+21/13)+491/10 sin(12 t+31/19)+767/27 sin(13 t+157/98)+49/11 sin(14 t+9/2)+350/27 sin(15 t+32/19)+46/11 sin(16 t+59/31)+606/43 sin(17 t+33/20)+557/24 sin(18 t+42/25)+1048/25 sin(19 t+51/31)+1159/30 sin(20 t+57/34)+557/38 sin(21 t+77/46)+38/5 sin(23 t+208/125)+91/11 sin(24 t+68/39)+352/17 sin(25 t+62/37)+245/29 sin(27 t+64/39)+134/21 sin(28 t+70/39)+163/34 sin(29 t+155/97)+352/41 sin(32 t+85/48)+96/23 sin(33 t+58/35)+157/19 sin(37 t+45/26)+31/21 sin(41 t+43/26)+31/54 sin(44 t+127/30)+115/44 sin(45 t+37/22)+32/11 sin(46 t+66/37)+55/21 sin(49 t+57/32)+37/42 sin(50 t+63/31)+75/29 sin(51 t+134/73)+1/4 sin(52 t+58/17)+115/44 sin(53 t+20/11)+23/38 sin(54 t+27/10)+100/33 sin(55 t+106/59)+37/42 sin(56 t+119/64)+109/30 sin(57 t+66/37)+119/53 sin(58 t+17/9)+52/21 sin(59 t+40/23)+66/47 sin(60 t+13/6)+7/17 sin(62 t+107/28)+29/10 sin(63 t+68/37)+13/12 sin(64 t+40/19)+52/23 sin(65 t+93/53)+102/43 sin(67 t+69/38)+36/43 sin(68 t+47/10)+46/33 sin(69 t+53/30)+19/24 sin(71 t+31/18)+4/15 sin(72 t+64/19)+28811/27) theta(47 pi-t) theta(t-43 pi)+(-3/5 sin(170/113-12 t)-43/21 sin(32/51-11 t)-350/29 sin(76/59-5 t)+2417/11 sin(t+49/24)+561/8 sin(2 t+51/26)+450/17 sin(3 t+77/17)+917/31 sin(4 t+113/46)+170/27 sin(6 t+83/29)+307/48 sin(7 t+173/40)+113/34 sin(8 t+19/56)+261/50 sin(9 t+133/30)+141/65 sin(10 t+26/33)-7165/23) theta(43 pi-t) theta(t-39 pi)+(-498/23 sin(79/59-7 t)-1567/49 sin(67/66-5 t)-8250/113 sin(6/23-3 t)-144659/302 sin(31/23-t)+8198/27 sin(2 t+38/31)+2363/45 sin(4 t+15/23)+672/65 sin(6 t+12/17)+139/53 sin(8 t+16/15)+289/30 sin(9 t+169/37)+87/26 sin(10 t+67/34)+316/37 sin(11 t+293/65)+226/45 sin(12 t+133/50)+121/30 sin(13 t+51/16)+201/34 sin(14 t+32/17)+43/57 sin(15 t+87/23)+73/22 sin(16 t+166/95)+79/53 sin(17 t+153/37)-34639/26) theta(39 pi-t) theta(t-35 pi)+(-1174/81 sin(146/117-7 t)-1330/39 sin(37/27-4 t)+3699/17 sin(t+16/19)+409/10 sin(2 t+38/31)+390/17 sin(3 t+27/35)+477/31 sin(5 t+41/47)+773/116 sin(6 t+591/169)+105/13 sin(8 t+91/36)+23/21 sin(9 t+27/20)+178/107 sin(10 t+94/25)+81/56 sin(11 t+71/24)+214/63 sin(12 t+45/37)+2861/15) theta(35 pi-t) theta(t-31 pi)+(187/49 sin(t+131/30)+234/35 sin(2 t+97/27)+95/7 sin(3 t+56/55)+103/24 sin(4 t+32/37)+41/45 sin(5 t+23/9)+49/26 sin(6 t+17/21)+32/21 sin(7 t+157/45)+43/38 sin(8 t+4/21)+19/21 sin(9 t+171/49)+15/38 sin(10 t+11/23)+9/10 sin(11 t+77/23)+24/35 sin(12 t+1/12)+1673/25) theta(31 pi-t) theta(t-27 pi)+(-4/37 sin(32/39-12 t)-5/11 sin(19/28-11 t)-23/28 sin(29/21-9 t)-53/31 sin(29/24-7 t)-139/58 sin(58/41-t)+58/23 sin(2 t+54/35)+425/39 sin(3 t+138/31)+230/29 sin(4 t+113/32)+140/29 sin(5 t+3/19)+223/71 sin(6 t+49/23)+95/142 sin(8 t+23/34)+12/29 sin(10 t+29/36)+1921/8) theta(27 pi-t) theta(t-23 pi)+(6175/98-60 sin(3/44-t)) theta(23 pi-t) theta(t-19 pi)+(15427/65-2133/35 sin(36/107-t)) theta(19 pi-t) theta(t-15 pi)+(-35/37 sin(20/23-11 t)-12/85 sin(3/35-7 t)+5403/73 sin(t+2/31)+94/33 sin(2 t+37/12)+97/26 sin(3 t+12/11)+47/21 sin(4 t+167/40)+50/49 sin(5 t+17/9)+43/72 sin(6 t+21/53)+141/113 sin(8 t+23/24)+10/19 sin(9 t+137/33)+4/7 sin(10 t+16/37)+25/101 sin(12 t+43/24)+1094/21) theta(15 pi-t) theta(t-11 pi)+(-280/281 sin(16/33-11 t)-55/41 sin(7/20-9 t)-119/53 sin(14/31-7 t)-77/25 sin(7/23-5 t)-559/56 sin(13/29-3 t)-1933/23 sin(6/17-t)+463/32 sin(2 t+89/24)+118/29 sin(4 t+25/6)+11/17 sin(6 t+109/32)+31/29 sin(8 t+113/39)+28/41 sin(10 t+34/11)+sin(12 t+101/43)+7669/35) theta(11 pi-t) theta(t-7 pi)+(-47/19 sin(24/35-8 t)-136/29 sin(17/15-5 t)-101/42 sin(5/27-4 t)+5677/45 sin(t+153/41)+967/29 sin(2 t+71/42)+261/23 sin(3 t+83/20)+76/27 sin(6 t+7/9)+289/105 sin(7 t+251/94)+1/2 sin(9 t+85/29)+5/16 sin(10 t+26/23)+3/20 sin(11 t+290/69)+24/31 sin(12 t+17/30)-12581/13) theta(7 pi-t) theta(t-3 pi)+(-68/29 sin(41/29-15 t)-71/11 sin(1/18-12 t)-643/27 sin(25/36-11 t)+46405/36 sin(t+219/82)+2065/36 sin(2 t+5/16)+15628/55 sin(3 t+145/33)+445/13 sin(4 t+21/13)+1861/17 sin(5 t+116/41)+2398/25 sin(6 t+66/17)+1263/35 sin(7 t+11/6)+197/17 sin(8 t+39/14)+641/10 sin(9 t+7/29)+1275/26 sin(10 t+29/26)+610/31 sin(13 t+110/31)+340/21 sin(14 t+134/29)+93/7 sin(16 t+137/39)+26/27 sin(17 t+91/29)+313/41 sin(18 t+61/29)+1010/23) theta(3 pi-t) theta(t+pi)) theta(sqrt(sgn(sin(t/2))))
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