Magma V2.19-8 Wed Aug 21 2013 00:52:32 on localhost [Seed = 3903782227] Type ? for help. Type -D to quit. Loading file "L12a442__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a442 geometric_solution 12.07467650 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 0 1 1 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 1 -1 0 -1 0 2 -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 0.333711093108 1.697941197180 0 0 4 3 0132 1230 0132 1230 0 0 1 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 -2 2 0 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 0.200270477428 0.510360431769 5 0 6 5 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 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 0.439560180948 0.643714465369 1 4 0 7 3012 3012 0132 0132 1 0 0 1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579433914680 0.440654928543 3 7 8 1 1230 1302 0132 0132 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.271560276399 1.395940709180 2 2 9 10 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.276541162239 1.059470213979 8 7 11 2 0321 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 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 0.134632278814 0.552889480655 12 6 3 4 0132 2103 0132 2031 1 0 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.286234954237 0.586269823205 6 11 12 4 0321 2031 1230 0132 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 0 0 0 0 1 1 -2 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 0.427146795107 0.866391957615 12 12 11 5 1302 3201 3012 0132 1 1 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 -1 1 12 -13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791488012536 0.769421433207 11 10 5 10 2103 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204493131855 1.017587269375 8 9 10 6 1302 1230 2103 0132 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 0 0 0 0 0 0 1 0 -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 0.527928067452 1.791536980902 7 9 9 8 0132 2031 2310 3012 1 0 0 1 0 -1 1 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 0 0 0 -12 13 -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 0.328113905917 1.210759509882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : negation(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_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_9'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0011_9'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_9']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_5, c_0101_7, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 228563/9350*c_1001_1^8 - 204147/1870*c_1001_1^7 - 3235871/9350*c_1001_1^6 - 6067883/9350*c_1001_1^5 - 8676649/9350*c_1001_1^4 - 8333881/9350*c_1001_1^3 - 603697/935*c_1001_1^2 - 56619/170*c_1001_1 - 561409/9350, c_0011_0 - 1, c_0011_10 + 4*c_1001_1^8 + 17*c_1001_1^7 + 55*c_1001_1^6 + 101*c_1001_1^5 + 151*c_1001_1^4 + 143*c_1001_1^3 + 117*c_1001_1^2 + 55*c_1001_1 + 21, c_0011_11 - c_1001_1^3 - 2*c_1001_1^2 - 3*c_1001_1 - 1, c_0011_12 - c_1001_1^4 - 3*c_1001_1^3 - 6*c_1001_1^2 - 5*c_1001_1 - 2, c_0011_3 - 1, c_0011_4 - c_1001_1 - 1, c_0011_6 + c_1001_1^2 + c_1001_1 + 1, c_0011_8 + 2*c_1001_1^8 + 8*c_1001_1^7 + 26*c_1001_1^6 + 46*c_1001_1^5 + 70*c_1001_1^4 + 64*c_1001_1^3 + 55*c_1001_1^2 + 24*c_1001_1 + 10, c_0011_9 - 1, c_0101_5 + 2*c_1001_1^8 + 8*c_1001_1^7 + 26*c_1001_1^6 + 46*c_1001_1^5 + 70*c_1001_1^4 + 65*c_1001_1^3 + 57*c_1001_1^2 + 27*c_1001_1 + 11, c_0101_7 - c_1001_1 - 1, c_0110_10 - 2*c_1001_1^8 - 8*c_1001_1^7 - 26*c_1001_1^6 - 46*c_1001_1^5 - 69*c_1001_1^4 - 62*c_1001_1^3 - 51*c_1001_1^2 - 22*c_1001_1 - 9, c_1001_1^9 + 5*c_1001_1^8 + 17*c_1001_1^7 + 36*c_1001_1^6 + 58*c_1001_1^5 + 67*c_1001_1^4 + 60*c_1001_1^3 + 40*c_1001_1^2 + 18*c_1001_1 + 5 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_5, c_0101_7, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8403/6272*c_1001_1^10 - 13277/3136*c_1001_1^9 - 39533/3136*c_1001_1^8 - 56745/6272*c_1001_1^7 + 4705/1568*c_1001_1^6 + 394123/6272*c_1001_1^5 + 549237/6272*c_1001_1^4 + 188431/1568*c_1001_1^3 + 145577/3136*c_1001_1^2 + 210333/6272*c_1001_1 - 76121/6272, c_0011_0 - 1, c_0011_10 + 2/5*c_1001_1^10 + 2*c_1001_1^9 + 38/5*c_1001_1^8 + 89/5*c_1001_1^7 + 167/5*c_1001_1^6 + 219/5*c_1001_1^5 + 227/5*c_1001_1^4 + 31*c_1001_1^3 + 77/5*c_1001_1^2 + 17/5*c_1001_1 + 1/5, c_0011_11 - c_1001_1^3 - 2*c_1001_1^2 - 3*c_1001_1 - 1, c_0011_12 - c_1001_1^4 - 3*c_1001_1^3 - 6*c_1001_1^2 - 5*c_1001_1 - 2, c_0011_3 - 1, c_0011_4 - c_1001_1 - 1, c_0011_6 + c_1001_1^2 + c_1001_1 + 1, c_0011_8 - 1/5*c_1001_1^10 - c_1001_1^9 - 19/5*c_1001_1^8 - 42/5*c_1001_1^7 - 76/5*c_1001_1^6 - 87/5*c_1001_1^5 - 86/5*c_1001_1^4 - 8*c_1001_1^3 - 21/5*c_1001_1^2 + 9/5*c_1001_1 + 2/5, c_0011_9 + 1, c_0101_5 - 1/5*c_1001_1^10 - c_1001_1^9 - 19/5*c_1001_1^8 - 42/5*c_1001_1^7 - 76/5*c_1001_1^6 - 87/5*c_1001_1^5 - 86/5*c_1001_1^4 - 9*c_1001_1^3 - 31/5*c_1001_1^2 - 6/5*c_1001_1 - 3/5, c_0101_7 - c_1001_1 - 1, c_0110_10 + 1/5*c_1001_1^10 + c_1001_1^9 + 19/5*c_1001_1^8 + 42/5*c_1001_1^7 + 76/5*c_1001_1^6 + 87/5*c_1001_1^5 + 81/5*c_1001_1^4 + 6*c_1001_1^3 + 1/5*c_1001_1^2 - 19/5*c_1001_1 - 7/5, c_1001_1^11 + 6*c_1001_1^10 + 24*c_1001_1^9 + 61*c_1001_1^8 + 118*c_1001_1^7 + 163*c_1001_1^6 + 173*c_1001_1^5 + 126*c_1001_1^4 + 66*c_1001_1^3 + 17*c_1001_1^2 - c_1001_1 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB