Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3364443642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2757 geometric_solution 5.99530408 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029336410577 1.123180836731 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711304310644 0.979723291677 4 5 6 0 3201 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.280498378108 1.285331170656 5 5 0 4 1302 1023 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569713025708 0.859357014431 6 1 3 2 2031 0132 2031 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454137371914 0.562366045466 3 3 1 2 1023 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497064185926 0.166277395897 6 6 4 2 1230 3012 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201963577600 0.472920993429 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 268536771983517410962775/30287956707487267441578*c_0110_3^12 + 440278748399716385123005/15143978353743633720789*c_0110_3^11 + 4705188018145891626479/1121776174351380275614*c_0110_3^10 - 9166203503678867882247767/30287956707487267441578*c_0110_3^9 + 2300654867775835775964323/30287956707487267441578*c_0110_3^8 + 18962514872832003224686354/15143978353743633720789*c_0110_3^7 - 353619194026718234182599/1121776174351380275614*c_0110_3^6 - 17608479613909537399086545/5047992784581211240263*c_0110_3^5 + 2326646061386272169491304/15143978353743633720789*c_0110_3^4 + 59188954212742848116525899/15143978353743633720789*c_0110_3^3 - 26720539810341272346715357/10095985569162422480526*c_0110_3^2 - 155044457152362035685717179/30287956707487267441578*c_0110_3 - 7644503198764602601026347/10095985569162422480526, c_0011_0 - 1, c_0011_2 + 26262002914810010250/7899832213742114617*c_0110_3^12 - 169974676098890258575/15799664427484229234*c_0110_3^11 - 36314262518195519325/15799664427484229234*c_0110_3^10 + 905172573625167820172/7899832213742114617*c_0110_3^9 - 197366101464032906257/7899832213742114617*c_0110_3^8 - 3774471679046066980042/7899832213742114617*c_0110_3^7 + 864284203090937494434/7899832213742114617*c_0110_3^6 + 10546254734796174069519/7899832213742114617*c_0110_3^5 - 623431593868216412497/15799664427484229234*c_0110_3^4 - 12015474995509782851373/7899832213742114617*c_0110_3^3 + 7929999299322038767021/7899832213742114617*c_0110_3^2 + 31300044942985165914547/15799664427484229234*c_0110_3 + 4134994618963014984397/15799664427484229234, c_0011_3 - 108842429755812508970/23699496641226343851*c_0110_3^12 + 119304128965457437009/7899832213742114617*c_0110_3^11 + 16422807287418486190/7899832213742114617*c_0110_3^10 - 3720885538665661102916/23699496641226343851*c_0110_3^9 + 324598464337776515949/7899832213742114617*c_0110_3^8 + 15391768494753642677462/23699496641226343851*c_0110_3^7 - 4068414561746750876881/23699496641226343851*c_0110_3^6 - 42866487798837183276310/23699496641226343851*c_0110_3^5 + 823011397526525185202/7899832213742114617*c_0110_3^4 + 48139795151097845852033/23699496641226343851*c_0110_3^3 - 33313869525025601921683/23699496641226343851*c_0110_3^2 - 20840684316886923292712/7899832213742114617*c_0110_3 - 2744722703361901131021/7899832213742114617, c_0011_6 + 172073243755363188755/23699496641226343851*c_0110_3^12 - 562973385561346890593/23699496641226343851*c_0110_3^11 - 30396311790641286668/7899832213742114617*c_0110_3^10 + 5899071489694671540233/23699496641226343851*c_0110_3^9 - 1463247897975671868722/23699496641226343851*c_0110_3^8 - 24463741916925452331344/23699496641226343851*c_0110_3^7 + 2066576697410005415830/7899832213742114617*c_0110_3^6 + 22733976173011175178542/7899832213742114617*c_0110_3^5 - 3349596090187452809482/23699496641226343851*c_0110_3^4 - 76965180406945993025570/23699496641226343851*c_0110_3^3 + 17508088981544167703225/7899832213742114617*c_0110_3^2 + 100017766393067394500105/23699496641226343851*c_0110_3 + 4377703667167274794729/7899832213742114617, c_0101_0 + 129047042968719383455/23699496641226343851*c_0110_3^12 - 284413274370245216877/15799664427484229234*c_0110_3^11 - 32239502538270272055/15799664427484229234*c_0110_3^10 + 4400954373968572247797/23699496641226343851*c_0110_3^9 - 406405985010472230419/7899832213742114617*c_0110_3^8 - 18155265226611017715220/23699496641226343851*c_0110_3^7 + 5032294068526062520064/23699496641226343851*c_0110_3^6 + 50506549645351324489856/23699496641226343851*c_0110_3^5 - 2294408619498581639731/15799664427484229234*c_0110_3^4 - 56460568675560285753340/23699496641226343851*c_0110_3^3 + 39746782630240944733454/23699496641226343851*c_0110_3^2 + 48799130863793186553753/15799664427484229234*c_0110_3 + 6388835124066460421735/15799664427484229234, c_0101_4 + 109910112947139326645/7899832213742114617*c_0110_3^12 - 359330187434704229032/7899832213742114617*c_0110_3^11 - 59372955957007500060/7899832213742114617*c_0110_3^10 + 3768959516100570757171/7899832213742114617*c_0110_3^9 - 926636384175784056963/7899832213742114617*c_0110_3^8 - 15636081376001453841599/7899832213742114617*c_0110_3^7 + 3932594193445106208501/7899832213742114617*c_0110_3^6 + 43598495123676174516179/7899832213742114617*c_0110_3^5 - 2071502280508168620946/7899832213742114617*c_0110_3^4 - 49226748578055247801296/7899832213742114617*c_0110_3^3 + 33503903622880908926709/7899832213742114617*c_0110_3^2 + 63995255410482053715780/7899832213742114617*c_0110_3 + 8420650049712630415235/7899832213742114617, c_0110_3^13 - 8/5*c_0110_3^12 - 6*c_0110_3^11 + 167/5*c_0110_3^10 + 244/5*c_0110_3^9 - 782/5*c_0110_3^8 - 1008/5*c_0110_3^7 + 2283/5*c_0110_3^6 + 643*c_0110_3^5 - 2399/5*c_0110_3^4 - 2211/5*c_0110_3^3 + 5456/5*c_0110_3^2 + 5238/5*c_0110_3 + 639/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB