Magma V2.19-8 Tue Aug 20 2013 17:56:20 on localhost [Seed = 661033749] Type ? for help. Type -D to quit. Loading file "11_315__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_315 geometric_solution 9.31376810 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541685314898 0.434130129641 0 5 7 6 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 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 0.917702689512 0.269639118999 5 0 4 8 2031 0132 0132 0132 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.005596036603 0.929825886448 9 7 8 0 0132 3120 0132 0132 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 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 -0.313341573563 0.574745974995 10 5 0 2 0132 3012 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 -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 -0.006472343390 1.075431212557 4 1 2 9 1230 0132 1302 2031 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541685314898 0.434130129641 9 8 1 7 2103 1023 0132 1302 0 0 0 0 0 0 -1 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 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 0.766562976379 0.627306429823 10 3 6 1 3120 3120 2031 0132 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 0 1 -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 0.766562976379 0.627306429823 6 10 2 3 1023 0132 0132 0132 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521057572765 1.400218185755 3 5 6 10 0132 1302 2103 3012 0 0 0 0 0 -1 1 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 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 1.731225119113 1.341247793089 4 8 9 7 0132 0132 1230 3120 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.766562976379 0.627306429823 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_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_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0110_6'], 'c_1100_8' : d['c_1100_0'], '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_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], '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_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 108379/247*c_1100_0^8 - 149646/247*c_1100_0^7 - 53039/247*c_1100_0^6 + 781893/247*c_1100_0^5 + 460570/247*c_1100_0^4 - 945825/247*c_1100_0^3 - 183354/247*c_1100_0^2 + 736862/247*c_1100_0 + 258771/247, c_0011_0 - 1, c_0011_10 + 250/247*c_1100_0^8 - 249/247*c_1100_0^7 - 333/247*c_1100_0^6 + 1886/247*c_1100_0^5 + 1720/247*c_1100_0^4 - 2247/247*c_1100_0^3 - 1505/247*c_1100_0^2 + 2151/247*c_1100_0 + 1226/247, c_0011_3 - 488/247*c_1100_0^8 + 737/247*c_1100_0^7 + 75/247*c_1100_0^6 - 3391/247*c_1100_0^5 - 1747/247*c_1100_0^4 + 4151/247*c_1100_0^3 + 201/247*c_1100_0^2 - 2861/247*c_1100_0 - 1006/247, c_0011_7 - 250/247*c_1100_0^8 + 249/247*c_1100_0^7 + 333/247*c_1100_0^6 - 1886/247*c_1100_0^5 - 1720/247*c_1100_0^4 + 2247/247*c_1100_0^3 + 1505/247*c_1100_0^2 - 2151/247*c_1100_0 - 1226/247, c_0101_0 - 488/247*c_1100_0^8 + 737/247*c_1100_0^7 + 75/247*c_1100_0^6 - 3391/247*c_1100_0^5 - 1747/247*c_1100_0^4 + 4151/247*c_1100_0^3 + 201/247*c_1100_0^2 - 2861/247*c_1100_0 - 1006/247, c_0101_1 + 1/247*c_1100_0^8 - 83/247*c_1100_0^7 + 136/247*c_1100_0^6 - 30/247*c_1100_0^5 - 497/247*c_1100_0^4 - 255/247*c_1100_0^3 + 651/247*c_1100_0^2 - 271/247*c_1100_0 - 250/247, c_0101_10 - c_1100_0, c_0101_3 - 350/247*c_1100_0^8 + 645/247*c_1100_0^7 - 176/247*c_1100_0^6 - 2344/247*c_1100_0^5 - 432/247*c_1100_0^4 + 2800/247*c_1100_0^3 - 610/247*c_1100_0^2 - 1727/247*c_1100_0 - 432/247, c_0101_8 - 1/247*c_1100_0^8 + 83/247*c_1100_0^7 - 136/247*c_1100_0^6 + 30/247*c_1100_0^5 + 497/247*c_1100_0^4 + 255/247*c_1100_0^3 - 651/247*c_1100_0^2 + 271/247*c_1100_0 + 250/247, c_0110_6 + 84/247*c_1100_0^8 - 56/247*c_1100_0^7 - 185/247*c_1100_0^6 + 691/247*c_1100_0^5 + 736/247*c_1100_0^4 - 919/247*c_1100_0^3 - 644/247*c_1100_0^2 + 948/247*c_1100_0 + 242/247, c_1100_0^9 - c_1100_0^8 - c_1100_0^7 + 7*c_1100_0^6 + 7*c_1100_0^5 - 7*c_1100_0^4 - 5*c_1100_0^3 + 6*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB