Magma V2.19-8 Tue Aug 20 2013 16:14:59 on localhost [Seed = 4206585568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s952 geometric_solution 5.97121771 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734952847977 0.872046386820 0 3 5 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589097708504 0.728583923848 3 0 4 5 2310 0132 3201 2310 0 0 0 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 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 0.589097708504 0.728583923848 5 1 2 5 1230 0132 3201 3012 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 0 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 0.405551848632 0.935620885620 2 4 1 4 2310 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785048758991 0.935042657567 2 3 3 1 3201 3012 1230 0132 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 -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 0.527186910605 0.651984046270 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : 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' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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: 18 Groebner basis: [ t + 12443/11912*c_0101_2*c_0101_3^8 - 299401/23824*c_0101_2*c_0101_3^7 + 292919/11912*c_0101_2*c_0101_3^6 + 72415/23824*c_0101_2*c_0101_3^5 - 154866/1489*c_0101_2*c_0101_3^4 - 77537/23824*c_0101_2*c_0101_3^3 + 574299/5956*c_0101_2*c_0101_3^2 - 16986/1489*c_0101_2*c_0101_3 - 98686/1489*c_0101_2, c_0011_0 - 1, c_0011_4 - 199/2978*c_0101_2*c_0101_3^8 - 617/5956*c_0101_2*c_0101_3^7 + 5383/5956*c_0101_2*c_0101_3^6 - 10639/5956*c_0101_2*c_0101_3^5 - 10879/5956*c_0101_2*c_0101_3^4 + 18823/5956*c_0101_2*c_0101_3^3 + 12681/5956*c_0101_2*c_0101_3^2 - 5799/2978*c_0101_2*c_0101_3 - 2910/1489*c_0101_2, c_0101_0 + 1052/1489*c_0101_2*c_0101_3^8 - 2043/1489*c_0101_2*c_0101_3^7 - 959/2978*c_0101_2*c_0101_3^6 + 22145/2978*c_0101_2*c_0101_3^5 + 9691/2978*c_0101_2*c_0101_3^4 - 27189/2978*c_0101_2*c_0101_3^3 - 12049/2978*c_0101_2*c_0101_3^2 + 13043/2978*c_0101_2*c_0101_3 + 2491/1489*c_0101_2, c_0101_1 - 975/2978*c_0101_3^8 + 4639/5956*c_0101_3^7 - 1281/5956*c_0101_3^6 - 19263/5956*c_0101_3^5 + 33/5956*c_0101_3^4 + 20003/5956*c_0101_3^3 + 11729/5956*c_0101_3^2 - 3391/2978*c_0101_3 - 1298/1489, c_0101_2^2 + 242/1489*c_0101_3^8 - 620/1489*c_0101_3^7 + 405/2978*c_0101_3^6 + 5867/2978*c_0101_3^5 - 2835/2978*c_0101_3^4 - 6631/2978*c_0101_3^3 + 5163/2978*c_0101_3^2 + 2873/2978*c_0101_3 - 1819/1489, c_0101_3^9 - 5/2*c_0101_3^8 + 1/2*c_0101_3^7 + 23/2*c_0101_3^6 - 5/2*c_0101_3^5 - 31/2*c_0101_3^4 + 7/2*c_0101_3^3 + 12*c_0101_3^2 - 2*c_0101_3 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB