Magma V2.19-8 Wed Aug 21 2013 00:53:22 on localhost [Seed = 3263485743] Type ? for help. Type -D to quit. Loading file "L12n1494__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1494 geometric_solution 12.48143691 oriented_manifold CS_known 0.0000000000000002 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 1 2 1 2 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 -1 0 1 1 0 -1 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223217345203 0.543867302316 0 5 7 6 0132 0132 0132 0132 2 2 2 1 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 1 0 -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 0.485955089368 0.983187464766 7 0 5 6 2103 0132 2031 2031 1 2 2 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 0 0 0 1 -1 0 0 0 0 0 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659881502270 1.531667770243 8 9 10 0 0132 0132 0132 0132 1 2 2 1 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 0 0 0 0 0 -1 1 5 0 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379933902180 1.359905004042 9 11 0 12 0132 0132 0132 0132 1 2 2 1 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 0 -1 1 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379933902180 1.359905004042 7 1 6 2 1230 0132 1230 1302 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 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 0.141279713306 1.452241649998 9 2 1 5 2103 1302 0132 3012 2 2 1 2 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 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417617199150 0.798755102488 9 5 2 1 3120 3012 2103 0132 2 2 1 1 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 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 0.762756274501 0.550672456782 3 11 12 11 0132 1023 2103 1302 0 2 1 2 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 2 -1 -1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289007700958 0.877303450595 4 3 6 7 0132 0132 2103 3120 1 2 1 2 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223217345203 0.543867302316 12 11 12 3 1302 0321 0132 0132 1 2 1 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 -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 0.289007700958 0.877303450595 8 4 8 10 1023 0132 2031 0321 1 0 1 2 0 0 0 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 0 0 0 -2 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 0.289007700958 0.877303450595 8 10 4 10 2103 2031 0132 0132 1 2 0 2 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 -1 0 0 0 0 0 1 -1 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289007700958 0.877303450595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : negation(d['c_0011_12']), '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' : 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' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : 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' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_2']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_0101_9' : d['c_0101_0'], 'c_0101_8' : 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_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_12']})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5225744847698587/63463656014557550*c_1100_0^7 + 44053366567129/619157619654220*c_1100_0^6 + 4783642112594421/6346365601455755*c_1100_0^5 + 70429926402692709/25385462405823020*c_1100_0^4 + 70421602807531148/31731828007278775*c_1100_0^3 + 1075753204958681717/126927312029115100*c_1100_0^2 - 29232062255872157/25385462405823020*c_1100_0 - 456547058812887337/126927312029115100, c_0011_0 - 1, c_0011_10 + 172132/141690799*c_1100_0^7 - 331312/141690799*c_1100_0^6 - 2663454/141690799*c_1100_0^5 - 686074/141690799*c_1100_0^4 - 36969398/141690799*c_1100_0^3 - 85356852/141690799*c_1100_0^2 - 71671655/141690799*c_1100_0 - 108301882/141690799, c_0011_11 + c_1100_0, c_0011_12 - 1, c_0011_6 + 1385713/141690799*c_1100_0^7 + 2703085/141690799*c_1100_0^6 + 12187467/141690799*c_1100_0^5 + 56603477/141690799*c_1100_0^4 + 85093578/141690799*c_1100_0^3 + 131770049/141690799*c_1100_0^2 + 163082754/141690799*c_1100_0 - 42758478/141690799, c_0011_7 + 1483028/141690799*c_1100_0^7 + 688380/141690799*c_1100_0^6 + 12790596/141690799*c_1100_0^5 + 54534728/141690799*c_1100_0^4 + 29177652/141690799*c_1100_0^3 + 166852667/141690799*c_1100_0^2 + 89481456/141690799*c_1100_0 + 149025172/141690799, c_0101_0 - 1, c_0101_1 + 1385713/141690799*c_1100_0^7 + 2703085/141690799*c_1100_0^6 + 12187467/141690799*c_1100_0^5 + 56603477/141690799*c_1100_0^4 + 85093578/141690799*c_1100_0^3 + 131770049/141690799*c_1100_0^2 + 163082754/141690799*c_1100_0 - 42758478/141690799, c_0101_2 - 1, c_0101_3 + 172132/141690799*c_1100_0^7 - 331312/141690799*c_1100_0^6 - 2663454/141690799*c_1100_0^5 - 686074/141690799*c_1100_0^4 - 36969398/141690799*c_1100_0^3 - 85356852/141690799*c_1100_0^2 - 213362454/141690799*c_1100_0 - 108301882/141690799, c_0101_5 - 993236/141690799*c_1100_0^7 - 2536577/141690799*c_1100_0^6 - 9750645/141690799*c_1100_0^5 - 49022571/141690799*c_1100_0^4 - 68111568/141690799*c_1100_0^3 - 119520359/141690799*c_1100_0^2 - 100785121/141690799*c_1100_0 + 73461031/141690799, c_0110_2 - 8645633/708453995*c_1100_0^7 + 406944/141690799*c_1100_0^6 - 14984728/141690799*c_1100_0^5 - 41314889/141690799*c_1100_0^4 + 81315951/708453995*c_1100_0^3 - 797803394/708453995*c_1100_0^2 + 228136185/141690799*c_1100_0 - 178525781/708453995, c_1100_0^8 + c_1100_0^7 + 10*c_1100_0^6 + 35*c_1100_0^5 + 38*c_1100_0^4 + 126*c_1100_0^3 + 3*c_1100_0^2 + 22*c_1100_0 - 73 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB