Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 2210537379] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s242 geometric_solution 4.40422584 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269208266746 0.145602983126 0 2 2 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327390064361 0.437563665758 3 1 1 4 0132 0132 1023 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 -1 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 0.380417346152 0.535736495004 2 4 4 5 0132 2310 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.156634460441 0.837843977339 3 5 2 3 2310 0132 0132 3201 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 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 -0.156634460441 0.837843977339 5 4 3 5 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 -1 0 0 1 -1 0 0 1 -1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215596448987 1.153234006180 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], '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_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2, c_0011_0 - 1, c_0011_4 + 1, c_0101_0 + c_0101_3, c_0101_1 - 2*c_0101_3^3 + 3*c_0101_3, c_0101_2 - 2*c_0101_3^3 + 3*c_0101_3, c_0101_3^4 - 2*c_0101_3^2 + 1/2 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 317775187/50737604*c_0101_3^16 + 4511308611/50737604*c_0101_3^14 + 10771473661/25368802*c_0101_3^12 + 33167343827/50737604*c_0101_3^10 + 8871571685/25368802*c_0101_3^8 - 7327301613/25368802*c_0101_3^6 - 13643466741/50737604*c_0101_3^4 - 7552974385/50737604*c_0101_3^2 + 1665490315/50737604, c_0011_0 - 1, c_0011_4 - 396653/12684401*c_0101_3^16 - 5927668/12684401*c_0101_3^14 - 31082809/12684401*c_0101_3^12 - 61359068/12684401*c_0101_3^10 - 53178256/12684401*c_0101_3^8 - 72971/12684401*c_0101_3^6 + 37049977/12684401*c_0101_3^4 + 34658023/12684401*c_0101_3^2 - 986663/12684401, c_0101_0 + 41280374/12684401*c_0101_3^17 + 584845052/12684401*c_0101_3^15 + 2780987028/12684401*c_0101_3^13 + 4218853481/12684401*c_0101_3^11 + 2134507558/12684401*c_0101_3^9 - 2058384776/12684401*c_0101_3^7 - 1790909449/12684401*c_0101_3^5 - 947092394/12684401*c_0101_3^3 + 256078267/12684401*c_0101_3, c_0101_1 - 16211225/12684401*c_0101_3^17 - 228704005/12684401*c_0101_3^15 - 1078786745/12684401*c_0101_3^13 - 1597295774/12684401*c_0101_3^11 - 766820880/12684401*c_0101_3^9 + 819632990/12684401*c_0101_3^7 + 647428351/12684401*c_0101_3^5 + 354293728/12684401*c_0101_3^3 - 120237168/12684401*c_0101_3, c_0101_2 - 986663/12684401*c_0101_3^17 - 14209935/12684401*c_0101_3^15 - 70060763/12684401*c_0101_3^13 - 120869142/12684401*c_0101_3^11 - 95892273/12684401*c_0101_3^9 + 4048198/12684401*c_0101_3^7 + 34460234/12684401*c_0101_3^5 + 52836585/12684401*c_0101_3^3 + 12106992/12684401*c_0101_3, c_0101_3^18 + 14*c_0101_3^16 + 65*c_0101_3^14 + 91*c_0101_3^12 + 35*c_0101_3^10 - 58*c_0101_3^8 - 35*c_0101_3^6 - 16*c_0101_3^4 + 10*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB