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Loading file "K12n321__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n321 geometric_solution 9.80668430 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 -3 0 3 0 4 -4 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123642413535 0.639897737276 0 5 4 6 0132 0132 3012 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 -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 0 -3 3 3 0 -3 0 4 0 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665956578840 0.690077100666 5 0 8 7 2310 0132 0132 0132 0 0 0 0 0 0 0 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 -1 0 1 -3 0 0 3 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285685365382 1.338107824768 5 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -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 3 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753114363130 0.891951357950 6 1 0 7 0132 1230 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 3 1 -4 4 0 0 -4 4 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.365786653884 1.688422907194 3 1 2 9 0132 0132 3201 2310 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531463127912 0.545841884071 4 8 1 7 0132 2031 0132 0213 0 0 0 0 0 -1 1 0 1 0 0 -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 4 -3 -1 -4 0 0 4 3 0 0 -3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275901631095 0.750324749222 4 10 2 6 3201 3201 0132 0213 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 0 -1 1 0 0 -3 3 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123642413535 0.639897737276 6 10 9 2 1302 0132 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 0 0 0 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 0.531463127912 0.545841884071 5 3 10 8 3201 0132 3201 0132 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.662144643740 0.464555067387 9 8 7 3 2310 0132 2310 0132 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 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753114363130 0.891951357950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], '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' : d['c_0011_0'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_10'], 'c_1100_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' : 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' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], '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' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], '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_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 61009009553/153106100576*c_1001_3^7 - 76541799479/38276525144*c_1001_3^6 + 1110857994403/153106100576*c_1001_3^5 - 277252862671/13918736416*c_1001_3^4 + 1283115555847/38276525144*c_1001_3^3 - 4966045249591/153106100576*c_1001_3^2 + 4965149781739/153106100576*c_1001_3 - 429811023347/19138262572, c_0011_0 - 1, c_0011_10 - 28311/689866*c_1001_3^7 + 68876/344933*c_1001_3^6 - 488805/689866*c_1001_3^5 + 1332283/689866*c_1001_3^4 - 1028875/344933*c_1001_3^3 + 1716623/689866*c_1001_3^2 - 2047519/689866*c_1001_3 + 552593/344933, c_0011_4 - 85119/689866*c_1001_3^7 + 214939/344933*c_1001_3^6 - 1550843/689866*c_1001_3^5 + 4334489/689866*c_1001_3^4 - 3645928/344933*c_1001_3^3 + 7087757/689866*c_1001_3^2 - 7258391/689866*c_1001_3 + 2619378/344933, c_0011_7 + 49841/344933*c_1001_3^7 - 266658/344933*c_1001_3^6 + 944673/344933*c_1001_3^5 - 2613331/344933*c_1001_3^4 + 4388938/344933*c_1001_3^3 - 4014203/344933*c_1001_3^2 + 3501497/344933*c_1001_3 - 2651852/344933, c_0101_0 - 57555/689866*c_1001_3^7 + 140497/344933*c_1001_3^6 - 1033925/689866*c_1001_3^5 + 2789323/689866*c_1001_3^4 - 2320796/344933*c_1001_3^3 + 4552871/689866*c_1001_3^2 - 4373561/689866*c_1001_3 + 1372237/344933, c_0101_1 - 124849/689866*c_1001_3^7 + 306320/344933*c_1001_3^6 - 2197255/689866*c_1001_3^5 + 5925593/689866*c_1001_3^4 - 4854158/344933*c_1001_3^3 + 8855829/689866*c_1001_3^2 - 9327537/689866*c_1001_3 + 3073156/344933, c_0101_10 + 181471/689866*c_1001_3^7 - 444072/344933*c_1001_3^6 + 3174865/689866*c_1001_3^5 - 8590159/689866*c_1001_3^4 + 6911908/344933*c_1001_3^3 - 12289075/689866*c_1001_3^2 + 12042843/689866*c_1001_3 - 4178342/344933, c_0101_2 + 43626/344933*c_1001_3^7 - 215669/344933*c_1001_3^6 + 764375/344933*c_1001_3^5 - 2050321/344933*c_1001_3^4 + 3244662/344933*c_1001_3^3 - 2733036/344933*c_1001_3^2 + 2583367/344933*c_1001_3 - 1891208/344933, c_0101_3 - 76580/344933*c_1001_3^7 + 375196/344933*c_1001_3^6 - 1343030/344933*c_1001_3^5 + 3628938/344933*c_1001_3^4 - 5883033/344933*c_1001_3^3 + 5286226/344933*c_1001_3^2 - 5342595/344933*c_1001_3 + 3280816/344933, c_1001_10 + 22882/344933*c_1001_3^7 - 101370/344933*c_1001_3^6 + 353731/344933*c_1001_3^5 - 927611/344933*c_1001_3^4 + 1367768/344933*c_1001_3^3 - 1002689/344933*c_1001_3^2 + 1060133/344933*c_1001_3 - 582653/344933, c_1001_3^8 - 6*c_1001_3^7 + 23*c_1001_3^6 - 67*c_1001_3^5 + 130*c_1001_3^4 - 155*c_1001_3^3 + 145*c_1001_3^2 - 122*c_1001_3 + 52 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB