Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 2134827534] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2863 geometric_solution 6.08503321 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 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 0.275112399975 0.513332746570 0 1 0 1 0132 1302 2310 2031 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 1 0 -1 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 -1.538645664204 1.695298103950 4 3 4 0 0132 3012 3012 0132 0 0 0 1 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 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852153805927 0.860289759586 2 5 0 5 1230 0132 0132 1230 0 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 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0.852153805927 0.860289759586 2 2 6 5 0132 1230 0132 0132 0 0 1 0 0 0 -1 1 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194034834472 1.129052946851 3 3 4 6 3012 0132 0132 2310 0 0 0 1 0 1 -1 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 0 0 1 0 -1 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 0.194034834472 1.129052946851 5 6 6 4 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.147846194073 0.860289759586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4919198831153809/372740294346620*c_0101_6^12 - 9693556481069417/149096117738648*c_0101_6^11 + 31219587909449177/372740294346620*c_0101_6^10 - 812170844525403379/745480588693240*c_0101_6^9 + 110875592540880941/93185073586655*c_0101_6^8 - 527513423563242396/93185073586655*c_0101_6^7 + 296799887394895847/186370147173310*c_0101_6^6 - 819957408395798139/74548058869324*c_0101_6^5 - 378901267317185965/149096117738648*c_0101_6^4 - 13317626780594424/93185073586655*c_0101_6^3 + 689888727990655081/745480588693240*c_0101_6^2 + 261957272951773749/745480588693240*c_0101_6 - 56501215895518217/745480588693240, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 7854194786567/372740294346620*c_0101_6^12 - 7103915292239/93185073586655*c_0101_6^11 + 25693044610246/93185073586655*c_0101_6^10 - 175477981400213/93185073586655*c_0101_6^9 + 385855308468803/93185073586655*c_0101_6^8 - 4109008141635681/372740294346620*c_0101_6^7 + 5188149901568863/372740294346620*c_0101_6^6 - 6859311903769207/372740294346620*c_0101_6^5 + 7062788505804371/372740294346620*c_0101_6^4 + 3558849048413639/372740294346620*c_0101_6^3 + 1847222136636839/372740294346620*c_0101_6^2 - 242777812594581/186370147173310*c_0101_6 - 195443968545291/372740294346620, c_0101_0 + 1138292604874/93185073586655*c_0101_6^12 + 7088327154052/93185073586655*c_0101_6^11 - 1490319158621/186370147173310*c_0101_6^10 + 160856338101793/186370147173310*c_0101_6^9 + 23866000951811/93185073586655*c_0101_6^8 + 573727210618749/186370147173310*c_0101_6^7 + 1126989492922483/186370147173310*c_0101_6^6 + 819549692811793/186370147173310*c_0101_6^5 + 3042230054592811/186370147173310*c_0101_6^4 - 901507973253391/186370147173310*c_0101_6^3 - 629893924114181/186370147173310*c_0101_6^2 - 620670361869867/186370147173310*c_0101_6 + 36035306518119/186370147173310, c_0101_1 - 73619449/1856997710*c_0101_6^12 - 141009191/928498855*c_0101_6^11 + 862547723/1856997710*c_0101_6^10 - 6584571099/1856997710*c_0101_6^9 + 6688968402/928498855*c_0101_6^8 - 19565296931/928498855*c_0101_6^7 + 22458618258/928498855*c_0101_6^6 - 36748502877/928498855*c_0101_6^5 + 29820741201/928498855*c_0101_6^4 + 5387904814/928498855*c_0101_6^3 + 8501397904/928498855*c_0101_6^2 - 1313146119/1856997710*c_0101_6 - 839428276/928498855, c_0101_2 - 25352486648615/149096117738648*c_0101_6^12 - 64416723949885/74548058869324*c_0101_6^11 + 17607404653959/18637014717331*c_0101_6^10 - 1035492890087229/74548058869324*c_0101_6^9 + 982382613132139/74548058869324*c_0101_6^8 - 10575114690444085/149096117738648*c_0101_6^7 + 1436991856934079/149096117738648*c_0101_6^6 - 20970910651755651/149096117738648*c_0101_6^5 - 8005846104392665/149096117738648*c_0101_6^4 - 1753996980092865/149096117738648*c_0101_6^3 + 1748014401153615/149096117738648*c_0101_6^2 + 336876698917473/74548058869324*c_0101_6 - 43990390428069/149096117738648, c_0101_6^13 + 5*c_0101_6^12 - 6*c_0101_6^11 + 82*c_0101_6^10 - 84*c_0101_6^9 + 421*c_0101_6^8 - 88*c_0101_6^7 + 818*c_0101_6^6 + 254*c_0101_6^5 + 12*c_0101_6^4 - 76*c_0101_6^3 - 33*c_0101_6^2 + 5*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB