Magma V2.19-8 Wed Aug 21 2013 00:58:29 on localhost [Seed = 442237083] Type ? for help. Type -D to quit. Loading file "L13n5568__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5568 geometric_solution 11.59056541 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0.651164645994 1.085480275103 0 5 4 6 0132 0132 0213 0132 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 0 0 0 0 8 -8 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 0.400559936042 0.458133137579 7 0 5 8 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 0 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 -1 0 1 -8 0 0 8 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848723515408 0.576916611545 6 9 10 0 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 8 -7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433044900540 1.107449503558 10 1 0 9 0213 0213 0132 2103 1 1 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 -8 1 7 1 0 -1 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 0.406134250915 0.525777864969 11 1 10 2 0132 0132 0213 0132 1 1 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 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400559936042 0.458133137579 3 12 1 8 0132 0132 0132 1023 1 1 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 8 -8 0 0 1 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.938434742049 0.643186448502 2 12 12 8 0132 3012 0321 1230 1 1 0 0 0 0 0 0 1 0 -1 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 8 0 -8 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.087887221568 1.083675550707 7 9 2 6 3012 0213 0132 1023 1 1 1 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 0 0 0 0 0 0 0 -1 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642535636451 0.367871731499 11 3 8 4 2103 0132 0213 2103 1 1 1 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366277869252 0.715460968345 4 5 11 3 0213 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406134250915 0.525777864969 5 12 9 10 0132 0321 2103 0132 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651164645994 1.085480275103 7 6 7 11 1230 0132 0321 0321 1 0 0 1 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 0 0 0 -3 0 -1 4 1 0 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442275746726 0.779522818564 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_3'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0110_9']), 'c_1100_3' : negation(d['c_0110_9']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_0110_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_8, c_0101_0, c_0101_12, c_0101_3, c_0110_8, c_0110_9, c_1001_0, c_1001_1, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 159490148834446946608553/11659034141644396*c_1001_3^5 - 2096920279742763142181751/186544546266310336*c_1001_3^4 - 10621963170924639010401/2743302150975152*c_1001_3^3 - 8457845921982801267009881/10973208603900608*c_1001_3^2 - 445419559932453681123377/5829517070822198*c_1001_3 - 1431033972315456814480391/186544546266310336, c_0011_0 - 1, c_0011_10 + 47985312/110572403*c_1001_3^5 - 40333478/110572403*c_1001_3^4 - 511505/6504259*c_1001_3^3 - 159443669/6504259*c_1001_3^2 - 225163745/110572403*c_1001_3 + 27922928/110572403, c_0011_12 + 46810688/110572403*c_1001_3^5 - 46529964/110572403*c_1001_3^4 - 254041/6504259*c_1001_3^3 - 156432986/6504259*c_1001_3^2 + 189338346/110572403*c_1001_3 - 59061634/110572403, c_0011_8 - 1122352/6504259*c_1001_3^5 + 1033773/6504259*c_1001_3^4 - 45559/6504259*c_1001_3^3 + 65191911/6504259*c_1001_3^2 + 5994712/6504259*c_1001_3 - 443103/6504259, c_0101_0 - 1, c_0101_12 - 37209488/110572403*c_1001_3^5 + 30282007/110572403*c_1001_3^4 + 1156905/6504259*c_1001_3^3 + 122115924/6504259*c_1001_3^2 + 309211218/110572403*c_1001_3 - 7407583/110572403, c_0101_3 + 2244704/6504259*c_1001_3^5 - 2067546/6504259*c_1001_3^4 + 91118/6504259*c_1001_3^3 - 130383822/6504259*c_1001_3^2 + 1019094/6504259*c_1001_3 + 886206/6504259, c_0110_8 + 9947760/110572403*c_1001_3^5 - 20106969/110572403*c_1001_3^4 + 1157546/6504259*c_1001_3^3 - 32502060/6504259*c_1001_3^2 + 82514068/110572403*c_1001_3 - 17041356/110572403, c_0110_9 - 9947760/110572403*c_1001_3^5 + 20106969/110572403*c_1001_3^4 - 1157546/6504259*c_1001_3^3 + 32502060/6504259*c_1001_3^2 - 303658874/110572403*c_1001_3 + 17041356/110572403, c_1001_0 - 27730704/110572403*c_1001_3^5 + 28955823/110572403*c_1001_3^4 + 299600/6504259*c_1001_3^3 + 91241075/6504259*c_1001_3^2 - 291248450/110572403*c_1001_3 - 43978018/110572403, c_1001_1 + 47157248/110572403*c_1001_3^5 - 50388976/110572403*c_1001_3^4 + 641/6504259*c_1001_3^3 - 154617984/6504259*c_1001_3^2 + 326164865/110572403*c_1001_3 - 9633773/110572403, c_1001_10 - 45982624/110572403*c_1001_3^5 + 56585462/110572403*c_1001_3^4 - 258105/6504259*c_1001_3^3 + 151607301/6504259*c_1001_3^2 - 740666956/110572403*c_1001_3 - 13954068/110572403, c_1001_3^6 - 15/16*c_1001_3^5 - 3/16*c_1001_3^4 - 901/16*c_1001_3^3 + 15/16*c_1001_3^2 + 1/16*c_1001_3 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.530 seconds, Total memory usage: 32.09MB