Magma V2.19-8 Wed Aug 21 2013 01:08:54 on localhost [Seed = 3516385469] Type ? for help. Type -D to quit. Loading file "L14n43311__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43311 geometric_solution 12.48143691 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 1 0 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 -1 0 1 -1 0 2 -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 0.237243725499 0.550672456782 0 5 7 6 0132 0132 0132 0132 2 1 1 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 0 0 0 0 0 1 -1 0 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645850583381 1.573609856184 3 0 5 8 0213 0132 0321 0132 2 1 1 2 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 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 0.340118497730 1.531667770243 2 4 5 0 0213 2310 1302 0132 2 1 1 2 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 0 0 0 1 0 1 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858720286694 1.452241649998 8 5 0 3 1302 1302 0132 3201 2 1 2 2 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 -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 0.582382800850 0.798755102488 3 1 2 4 2031 0132 0321 2031 2 2 2 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404016522732 0.817408829333 9 8 1 10 0132 0321 0132 0132 2 1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190568060873 0.682104066273 8 11 12 1 0321 0132 0132 0132 2 1 2 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 -7 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 0.190568060873 0.682104066273 7 4 2 6 0321 2031 0132 0321 2 1 2 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 0.136123891720 0.604846111899 6 11 11 12 0132 1023 1230 3120 0 1 1 2 0 0 -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 -1 0 1 1 0 -1 0 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 12 11 6 12 1230 0213 0132 0132 2 1 0 2 0 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 9 7 10 9 1023 0132 0213 3012 2 0 1 2 0 -1 0 1 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 -6 0 6 1 0 -1 0 -1 0 0 1 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 9 10 10 7 3120 3012 0132 0132 2 1 1 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 0 -7 0 7 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 0.338739069141 1.028266559069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(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_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], '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_11']), 'c_0110_6' : d['c_0101_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_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_5']})} 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_8, c_0101_0, c_0101_10, c_0110_4, c_0110_5, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5225744847698587/63463656014557550*c_1100_1^7 - 44053366567129/619157619654220*c_1100_1^6 + 4783642112594421/6346365601455755*c_1100_1^5 - 70429926402692709/25385462405823020*c_1100_1^4 + 70421602807531148/31731828007278775*c_1100_1^3 - 1075753204958681717/126927312029115100*c_1100_1^2 - 29232062255872157/25385462405823020*c_1100_1 + 456547058812887337/126927312029115100, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1100_1, c_0011_12 + 10028937/708453995*c_1100_1^7 - 3112435/141690799*c_1100_1^6 + 17286448/141690799*c_1100_1^5 - 78634291/141690799*c_1100_1^4 + 410729606/708453995*c_1100_1^3 - 878244336/708453995*c_1100_1^2 + 52348149/141690799*c_1100_1 + 1312118096/708453995, c_0011_3 - 993236/141690799*c_1100_1^7 + 2536577/141690799*c_1100_1^6 - 9750645/141690799*c_1100_1^5 + 49022571/141690799*c_1100_1^4 - 68111568/141690799*c_1100_1^3 + 119520359/141690799*c_1100_1^2 - 100785121/141690799*c_1100_1 - 73461031/141690799, c_0011_4 + 1483028/141690799*c_1100_1^7 - 688380/141690799*c_1100_1^6 + 12790596/141690799*c_1100_1^5 - 54534728/141690799*c_1100_1^4 + 29177652/141690799*c_1100_1^3 - 166852667/141690799*c_1100_1^2 + 89481456/141690799*c_1100_1 - 149025172/141690799, c_0011_8 - 1385713/141690799*c_1100_1^7 + 2703085/141690799*c_1100_1^6 - 12187467/141690799*c_1100_1^5 + 56603477/141690799*c_1100_1^4 - 85093578/141690799*c_1100_1^3 + 131770049/141690799*c_1100_1^2 - 163082754/141690799*c_1100_1 - 42758478/141690799, c_0101_0 - 1, c_0101_10 + 172132/141690799*c_1100_1^7 + 331312/141690799*c_1100_1^6 - 2663454/141690799*c_1100_1^5 + 686074/141690799*c_1100_1^4 - 36969398/141690799*c_1100_1^3 + 85356852/141690799*c_1100_1^2 - 213362454/141690799*c_1100_1 + 108301882/141690799, c_0110_4 + 1, c_0110_5 - 392477/141690799*c_1100_1^7 + 166508/141690799*c_1100_1^6 - 2436822/141690799*c_1100_1^5 + 7580906/141690799*c_1100_1^4 - 16982010/141690799*c_1100_1^3 + 12249690/141690799*c_1100_1^2 - 62297633/141690799*c_1100_1 + 30702553/141690799, c_1001_5 + 1385713/141690799*c_1100_1^7 - 2703085/141690799*c_1100_1^6 + 12187467/141690799*c_1100_1^5 - 56603477/141690799*c_1100_1^4 + 85093578/141690799*c_1100_1^3 - 131770049/141690799*c_1100_1^2 + 163082754/141690799*c_1100_1 + 42758478/141690799, c_1100_1^8 - c_1100_1^7 + 10*c_1100_1^6 - 35*c_1100_1^5 + 38*c_1100_1^4 - 126*c_1100_1^3 + 3*c_1100_1^2 - 22*c_1100_1 - 73 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB