Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 2463305310] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1018 geometric_solution 4.90022920 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.019492833551 0.712775437611 2 0 0 3 0132 0132 1023 0132 0 0 0 0 0 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 1 0 -1 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 -0.110262431449 0.433618102367 1 3 4 5 0132 2310 0132 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 -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 0.579170843177 0.868186090308 6 5 1 2 0132 2310 0132 3201 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 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 0.579170843177 0.868186090308 6 5 6 2 3120 1023 0213 0132 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 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 0.746102995768 0.447085938188 4 6 2 3 1023 3201 0132 3201 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 -1 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 0 0 0 0 0.650969827734 0.016329031844 3 4 5 4 0132 0213 2310 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746102995768 0.447085938188 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 5921552200/35726551*c_0110_5^17 - 53567756587/35726551*c_0110_5^15 + 805846127517/142906204*c_0110_5^13 - 897807844417/71453102*c_0110_5^11 + 2659712976583/142906204*c_0110_5^9 - 1151643038961/71453102*c_0110_5^7 + 1220002241375/142906204*c_0110_5^5 - 371833529577/142906204*c_0110_5^3 + 46974209005/142906204*c_0110_5, c_0011_0 - 1, c_0011_3 + 892297600/35726551*c_0110_5^17 - 7908607328/35726551*c_0110_5^15 + 28934792022/35726551*c_0110_5^13 - 62562653158/35726551*c_0110_5^11 + 89511606984/35726551*c_0110_5^9 - 72009722991/35726551*c_0110_5^7 + 35052118877/35726551*c_0110_5^5 - 9315847437/35726551*c_0110_5^3 + 853464987/35726551*c_0110_5, c_0101_0 + 387466928/35726551*c_0110_5^16 - 3445236670/35726551*c_0110_5^14 + 12643990587/35726551*c_0110_5^12 - 27372778673/35726551*c_0110_5^10 + 39137320899/35726551*c_0110_5^8 - 31395672599/35726551*c_0110_5^6 + 14881871999/35726551*c_0110_5^4 - 3802426823/35726551*c_0110_5^2 + 294580849/35726551, c_0101_1 + 472686968/35726551*c_0110_5^16 - 4200774927/35726551*c_0110_5^14 + 15418558935/35726551*c_0110_5^12 - 33431142183/35726551*c_0110_5^10 + 47950958491/35726551*c_0110_5^8 - 38766859232/35726551*c_0110_5^6 + 18838126327/35726551*c_0110_5^4 - 5008306136/35726551*c_0110_5^2 + 455571036/35726551, c_0101_2 + 59944376/5103793*c_0110_5^16 - 529690343/5103793*c_0110_5^14 + 1930890441/5103793*c_0110_5^12 - 4161644425/5103793*c_0110_5^10 + 5937235499/5103793*c_0110_5^8 - 4748980537/5103793*c_0110_5^6 + 2316284650/5103793*c_0110_5^4 - 615363043/5103793*c_0110_5^2 + 56841993/5103793, c_0101_6 - c_0110_5, c_0110_5^18 - 73/8*c_0110_5^16 + 139/4*c_0110_5^14 - 629/8*c_0110_5^12 + 475/4*c_0110_5^10 - 857/8*c_0110_5^8 + 485/8*c_0110_5^6 - 167/8*c_0110_5^4 + 15/4*c_0110_5^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB