Magma V2.19-8 Tue Aug 20 2013 23:42:31 on localhost [Seed = 2160518632] Type ? for help. Type -D to quit. Loading file "L13n3877__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3877 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 2031 1 1 0 1 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 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 0.664325046879 0.599096739481 0 4 6 5 0132 0132 0132 0132 1 1 1 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 8 -8 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 0.438348770759 1.669458422811 5 0 6 7 0132 0132 1023 0132 1 1 1 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 -1 0 1 -8 0 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 0.169847584353 0.748641960473 7 0 8 0 0132 1302 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664325046879 0.599096739481 9 1 10 10 0132 0132 0132 2310 1 0 0 1 0 1 -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 0 0 0 0 0 -8 7 1 -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 0.364769103508 0.406792058678 2 9 1 7 0132 0132 0132 1023 1 1 0 1 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 8 0 0 -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 0.895193003509 1.482309368110 8 10 2 1 1023 0213 1023 0132 1 1 0 0 0 0 1 -1 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 -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 0 0 0 0.181029282596 0.538093473085 3 8 2 5 0132 1230 0132 1023 1 1 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 0 0 0 0 0 0 0 0 -7 -1 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 0 0 0 0.169847584353 0.748641960473 9 6 7 3 2031 1023 3012 0132 1 1 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 0 0 0 0 0.701464167424 0.494331903410 4 5 8 10 0132 0132 1302 0321 1 0 1 0 0 0 -1 1 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 7 -7 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 0.466413116643 0.759956600909 4 9 6 4 3201 0321 0213 0132 1 0 1 0 0 -1 0 1 0 0 1 -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 7 0 -7 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116402548659 0.714926955837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1'], '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 19484291/432785730*c_1100_1^8 + 735839119/432785730*c_1100_1^7 + 406396628/72130955*c_1100_1^6 + 215684809/11097070*c_1100_1^5 + 8276109784/216392865*c_1100_1^4 - 7232745561/72130955*c_1100_1^3 - 3105960262/216392865*c_1100_1^2 + 42457979231/432785730*c_1100_1 - 2512407668/72130955, c_0011_0 - 1, c_0011_10 - 4722/35797*c_1100_1^8 - 17661/35797*c_1100_1^7 - 116325/71594*c_1100_1^6 - 112975/35797*c_1100_1^5 + 217424/35797*c_1100_1^4 + 261137/71594*c_1100_1^3 - 596805/71594*c_1100_1^2 - 96705/71594*c_1100_1 + 253609/71594, c_0011_3 + 2871/71594*c_1100_1^8 + 3665/71594*c_1100_1^7 + 2461/35797*c_1100_1^6 - 38315/71594*c_1100_1^5 - 184223/35797*c_1100_1^4 + 46007/35797*c_1100_1^3 + 234466/35797*c_1100_1^2 - 15143/71594*c_1100_1 - 74977/35797, c_0011_6 + 1542/35797*c_1100_1^8 - 16075/71594*c_1100_1^7 - 68813/71594*c_1100_1^6 - 144503/35797*c_1100_1^5 - 870269/71594*c_1100_1^4 + 518447/35797*c_1100_1^3 + 547364/35797*c_1100_1^2 - 346615/35797*c_1100_1 - 296599/71594, c_0101_0 - 1, c_0101_1 + 2057/35797*c_1100_1^8 + 21573/71594*c_1100_1^7 + 46044/35797*c_1100_1^6 + 121771/35797*c_1100_1^5 + 188661/71594*c_1100_1^4 + 46405/71594*c_1100_1^3 - 749363/71594*c_1100_1^2 - 185323/71594*c_1100_1 + 250806/35797, c_0101_2 + 1, c_0101_3 + 34031/71594*c_1100_1^8 + 62674/35797*c_1100_1^7 + 391687/71594*c_1100_1^6 + 706953/71594*c_1100_1^5 - 1912567/71594*c_1100_1^4 - 759339/35797*c_1100_1^3 + 1338702/35797*c_1100_1^2 + 581755/71594*c_1100_1 - 1136841/71594, c_1001_0 - 2871/71594*c_1100_1^8 - 3665/71594*c_1100_1^7 - 2461/35797*c_1100_1^6 + 38315/71594*c_1100_1^5 + 184223/35797*c_1100_1^4 - 46007/35797*c_1100_1^3 - 234466/35797*c_1100_1^2 + 86737/71594*c_1100_1 + 74977/35797, c_1001_4 - 34031/71594*c_1100_1^8 - 62674/35797*c_1100_1^7 - 391687/71594*c_1100_1^6 - 706953/71594*c_1100_1^5 + 1912567/71594*c_1100_1^4 + 759339/35797*c_1100_1^3 - 1338702/35797*c_1100_1^2 - 653349/71594*c_1100_1 + 1136841/71594, c_1100_1^9 + 3*c_1100_1^8 + 9*c_1100_1^7 + 13*c_1100_1^6 - 70*c_1100_1^5 - 5*c_1100_1^4 + 111*c_1100_1^3 - 38*c_1100_1^2 - 49*c_1100_1 + 26 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB