Magma V2.19-8 Tue Aug 20 2013 23:43:47 on localhost [Seed = 3019232935] Type ? for help. Type -D to quit. Loading file "L14a20423__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20423 geometric_solution 7.57224736 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 3201 0132 0 1 0 1 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 5 1 -6 -1 0 1 0 0 0 0 0 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890233094323 0.671768979800 0 2 5 4 0132 0213 0132 0132 0 1 1 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 -5 -1 6 1 0 -1 0 -8 8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952655746182 0.909796488341 0 0 1 3 2310 0132 0213 0213 0 1 1 0 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 -5 5 0 7 0 -8 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 0.284256867768 0.540099033392 4 6 0 2 0132 0132 0132 0213 0 1 1 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 -6 6 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 0.952655746182 0.909796488341 3 6 1 5 0132 0213 0132 3120 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 0 0 0 0 6 -6 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 1.178653265187 1.016732012334 4 7 6 1 3120 0132 1302 0132 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 1 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 0.166810159578 0.424409498013 5 3 4 7 2031 0132 0213 2310 0 0 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 0 0 0 0 6 -6 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 0.166810159578 0.424409498013 6 5 8 8 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.699922893539 4.165822182823 7 9 7 9 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.305154207290 0.713198242846 8 8 10 10 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328901170287 0.062284535562 9 10 9 10 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.720828399614 0.161502816264 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_7'], '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_0101_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_10' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0011_8']), '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'], '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_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : negation(d['c_0101_7'])})} 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 90334693/617625*c_1001_4^11 + 138474931/123525*c_1001_4^10 - 2777147429/617625*c_1001_4^9 + 2470725176/205875*c_1001_4^8 - 178900913/7625*c_1001_4^7 + 4266738196/123525*c_1001_4^6 - 23804663132/617625*c_1001_4^5 + 19474689061/617625*c_1001_4^4 - 10752770182/617625*c_1001_4^3 + 552849799/123525*c_1001_4^2 + 694091543/617625*c_1001_4 - 857046116/617625, c_0011_0 - 1, c_0011_10 + c_1001_4^10 - 6*c_1001_4^9 + 19*c_1001_4^8 - 40*c_1001_4^7 + 61*c_1001_4^6 - 68*c_1001_4^5 + 55*c_1001_4^4 - 30*c_1001_4^3 + 9*c_1001_4^2 - 1, c_0011_3 + c_1001_4^2 - c_1001_4 + 1, c_0011_5 + c_1001_4^4 - 2*c_1001_4^3 + 2*c_1001_4^2 - 2*c_1001_4 + 1, c_0011_8 - c_1001_4^6 + 4*c_1001_4^5 - 9*c_1001_4^4 + 12*c_1001_4^3 - 10*c_1001_4^2 + 4*c_1001_4, c_0101_0 - 1, c_0101_1 + c_1001_4, c_0101_10 - c_1001_4^11 + 7*c_1001_4^10 - 26*c_1001_4^9 + 64*c_1001_4^8 - 114*c_1001_4^7 + 150*c_1001_4^6 - 145*c_1001_4^5 + 97*c_1001_4^4 - 38*c_1001_4^3 + 2*c_1001_4^2 + 5*c_1001_4 - 1, c_0101_7 - c_1001_4^5 + 3*c_1001_4^4 - 5*c_1001_4^3 + 5*c_1001_4^2 - 3*c_1001_4 + 1, c_0101_8 - c_1001_4 + 1, c_1001_4^12 - 8*c_1001_4^11 + 33*c_1001_4^10 - 90*c_1001_4^9 + 179*c_1001_4^8 - 268*c_1001_4^7 + 304*c_1001_4^6 - 254*c_1001_4^5 + 145*c_1001_4^4 - 42*c_1001_4^3 - 6*c_1001_4^2 + 10*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB