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Loading file "K14n21024__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21024 geometric_solution 9.95970735 oriented_manifold CS_known -0.0000000000000002 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 -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 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937139807964 0.598927714653 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 -1 0 0 0 0 0 -15 -1 0 16 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678927553984 0.367847974528 5 0 5 8 2031 0132 1302 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 1 -1 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 0.668878730911 0.435931662692 6 9 6 0 0132 0132 2031 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 1 0 -1 0 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336938073348 0.541894785867 7 8 0 10 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017467724463 1.408963097959 2 1 2 8 2031 0132 1302 1023 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 -1 1 0 1 0 -1 0 1 -16 0 15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668878730911 0.435931662692 3 10 1 3 0132 1302 0132 1302 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 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.017467724463 1.408963097959 9 4 9 1 0213 1023 2031 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 -1 1 1 0 -1 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380653466761 0.664506516857 10 4 2 5 0132 0132 0132 1023 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 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415935690838 0.751353508531 7 3 10 7 0213 0132 0213 1302 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 -1 0 1 16 0 -16 0 -1 0 0 1 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350936824165 1.133069176708 8 9 4 6 0132 0213 0132 2031 0 0 0 0 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 16 0 -16 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017467724463 1.408963097959 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_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_3']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_1010_6']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0110_5'], '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' : d['c_0011_10'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_8'], 'c_0101_7' : negation(d['c_0011_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' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_10'], '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' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_5, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 10/9*c_1010_6^2 - 2/3*c_1010_6 + 59/9, c_0011_0 - 1, c_0011_10 - c_1010_6^2 + 2*c_1010_6 + 2, c_0011_3 - c_1010_6 - 1, c_0101_0 + c_1010_6^2 - 1, c_0101_1 - c_1010_6 - 1, c_0101_10 + c_1010_6^2 - c_1010_6 - 1, c_0101_3 - c_1010_6 - 1, c_0101_8 + c_1010_6^2 - 2*c_1010_6 - 1, c_0110_5 - c_1010_6^2 + 2*c_1010_6 + 1, c_1001_0 - c_1010_6^2 + c_1010_6 + 1, c_1010_6^3 - c_1010_6^2 - 2*c_1010_6 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_5, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1178213/18649645*c_1010_6^9 + 126932/2664235*c_1010_6^8 - 2293416/18649645*c_1010_6^7 - 8152044/18649645*c_1010_6^6 - 5978919/3729929*c_1010_6^5 + 176460902/18649645*c_1010_6^4 - 302192692/18649645*c_1010_6^3 + 232982557/18649645*c_1010_6^2 - 309490/76121*c_1010_6 - 1624792/18649645, c_0011_0 - 1, c_0011_10 + 30758/76121*c_1010_6^9 - 29025/76121*c_1010_6^8 + 187782/76121*c_1010_6^7 - 620453/76121*c_1010_6^6 + 1322814/76121*c_1010_6^5 - 1352121/76121*c_1010_6^4 + 520442/76121*c_1010_6^3 + 345097/76121*c_1010_6^2 - 239063/76121*c_1010_6 + 24458/76121, c_0011_3 - 44065/76121*c_1010_6^9 + 39590/76121*c_1010_6^8 - 293034/76121*c_1010_6^7 + 906432/76121*c_1010_6^6 - 1983739/76121*c_1010_6^5 + 2439055/76121*c_1010_6^4 - 1662659/76121*c_1010_6^3 + 531988/76121*c_1010_6^2 + 160018/76121*c_1010_6 - 64386/76121, c_0101_0 + 22481/76121*c_1010_6^9 + 4764/76121*c_1010_6^8 + 123356/76121*c_1010_6^7 - 300868/76121*c_1010_6^6 + 480692/76121*c_1010_6^5 - 88951/76121*c_1010_6^4 - 552172/76121*c_1010_6^3 + 536716/76121*c_1010_6^2 - 265159/76121*c_1010_6 - 66768/76121, c_0101_1 - 44065/76121*c_1010_6^9 + 39590/76121*c_1010_6^8 - 293034/76121*c_1010_6^7 + 906432/76121*c_1010_6^6 - 1983739/76121*c_1010_6^5 + 2439055/76121*c_1010_6^4 - 1662659/76121*c_1010_6^3 + 531988/76121*c_1010_6^2 + 160018/76121*c_1010_6 - 64386/76121, c_0101_10 + 19187/76121*c_1010_6^9 - 28968/76121*c_1010_6^8 + 147075/76121*c_1010_6^7 - 462799/76121*c_1010_6^6 + 1158108/76121*c_1010_6^5 - 1664524/76121*c_1010_6^4 + 1466019/76121*c_1010_6^3 - 563659/76121*c_1010_6^2 - 158397/76121*c_1010_6 + 204087/76121, c_0101_3 + 17418/76121*c_1010_6^9 + 3664/76121*c_1010_6^8 + 107656/76121*c_1010_6^7 - 241049/76121*c_1010_6^6 + 442115/76121*c_1010_6^5 - 307385/76121*c_1010_6^4 + 11086/76121*c_1010_6^3 + 2720/76121*c_1010_6^2 + 11710/76121*c_1010_6 - 94493/76121, c_0101_8 - 47684/76121*c_1010_6^9 + 55357/76121*c_1010_6^8 - 303279/76121*c_1010_6^7 + 1053321/76121*c_1010_6^6 - 2259748/76121*c_1010_6^5 + 2759206/76121*c_1010_6^4 - 1655881/76121*c_1010_6^3 + 339263/76121*c_1010_6^2 + 223331/76121*c_1010_6 - 52781/76121, c_0110_5 + 47684/76121*c_1010_6^9 - 55357/76121*c_1010_6^8 + 303279/76121*c_1010_6^7 - 1053321/76121*c_1010_6^6 + 2259748/76121*c_1010_6^5 - 2759206/76121*c_1010_6^4 + 1655881/76121*c_1010_6^3 - 339263/76121*c_1010_6^2 - 223331/76121*c_1010_6 + 52781/76121, c_1001_0 - 19187/76121*c_1010_6^9 + 28968/76121*c_1010_6^8 - 147075/76121*c_1010_6^7 + 462799/76121*c_1010_6^6 - 1158108/76121*c_1010_6^5 + 1664524/76121*c_1010_6^4 - 1466019/76121*c_1010_6^3 + 563659/76121*c_1010_6^2 + 158397/76121*c_1010_6 - 204087/76121, c_1010_6^10 - 2*c_1010_6^9 + 8*c_1010_6^8 - 28*c_1010_6^7 + 70*c_1010_6^6 - 111*c_1010_6^5 + 111*c_1010_6^4 - 66*c_1010_6^3 + 15*c_1010_6^2 + 6*c_1010_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB