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Loading file "K8a3__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K8a3 geometric_solution 8.65114856 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 1230 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 -1 0 1 1 0 -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 0.707090103340 0.858397034854 0 4 0 5 0132 0132 3012 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 0 1 -1 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 0.428300782299 0.694034481582 6 7 8 0 0132 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 -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 0.421639608122 0.494167577180 7 7 0 5 2031 0321 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530936719117 0.743652807618 8 1 5 6 1230 0132 3012 0321 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 1 0 -1 0 0 0 0 -8 1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446798520865 0.432745353994 6 4 1 3 2103 1230 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476439448704 1.139696951067 2 4 5 8 0132 0321 2103 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 -1 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474068127242 1.005812812857 8 2 3 3 0132 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530936719117 0.743652807618 7 4 6 2 0132 3012 0132 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 -1 0 0 1 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.078458314315 1.339527388148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_8' : negation(d['c_0011_0']), 's_2_8' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_0_8' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_4']), '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' : negation(d['1']), 's_3_8' : negation(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_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3943153/179239*c_0110_5^10 - 16855259/716956*c_0110_5^9 - 142976721/716956*c_0110_5^8 - 30169735/179239*c_0110_5^7 - 193362879/358478*c_0110_5^6 - 27575567/179239*c_0110_5^5 - 486046289/716956*c_0110_5^4 + 7186719/179239*c_0110_5^3 - 184873813/358478*c_0110_5^2 + 66825179/716956*c_0110_5 - 108645671/716956, c_0011_0 - 1, c_0011_2 - 32/7793*c_0110_5^10 + 666/7793*c_0110_5^9 + 1745/7793*c_0110_5^8 + 7010/7793*c_0110_5^7 + 14850/7793*c_0110_5^6 + 23687/7793*c_0110_5^5 + 25442/7793*c_0110_5^4 + 26759/7793*c_0110_5^3 + 21002/7793*c_0110_5^2 + 10672/7793*c_0110_5 + 783/7793, c_0011_3 + 3378/7793*c_0110_5^10 + 4703/7793*c_0110_5^9 + 30588/7793*c_0110_5^8 + 32488/7793*c_0110_5^7 + 77694/7793*c_0110_5^6 + 23986/7793*c_0110_5^5 + 66182/7793*c_0110_5^4 - 19754/7793*c_0110_5^3 + 40024/7793*c_0110_5^2 - 12164/7793*c_0110_5 + 6477/7793, c_0011_5 - 6355/7793*c_0110_5^10 - 3627/7793*c_0110_5^9 - 47731/7793*c_0110_5^8 - 12059/7793*c_0110_5^7 - 76028/7793*c_0110_5^6 + 85520/7793*c_0110_5^5 - 45461/7793*c_0110_5^4 + 134504/7793*c_0110_5^3 - 44660/7793*c_0110_5^2 + 65937/7793*c_0110_5 - 3527/7793, c_0101_0 - 533/7793*c_0110_5^10 + 2813/7793*c_0110_5^9 + 572/7793*c_0110_5^8 + 28602/7793*c_0110_5^7 + 26706/7793*c_0110_5^6 + 89879/7793*c_0110_5^5 + 31683/7793*c_0110_5^4 + 94289/7793*c_0110_5^3 - 5254/7793*c_0110_5^2 + 56964/7793*c_0110_5 - 5223/7793, c_0101_1 - 923/7793*c_0110_5^10 - 3682/7793*c_0110_5^9 - 10794/7793*c_0110_5^8 - 29160/7793*c_0110_5^7 - 36815/7793*c_0110_5^6 - 52486/7793*c_0110_5^5 - 19643/7793*c_0110_5^4 - 34015/7793*c_0110_5^3 + 10099/7793*c_0110_5^2 - 15589/7793*c_0110_5 + 5781/7793, c_0101_4 - 4681/7793*c_0110_5^10 - 6321/7793*c_0110_5^9 - 43065/7793*c_0110_5^8 - 46593/7793*c_0110_5^7 - 115456/7793*c_0110_5^6 - 53332/7793*c_0110_5^5 - 116852/7793*c_0110_5^4 - 1399/7793*c_0110_5^3 - 59126/7793*c_0110_5^2 + 6410/7793*c_0110_5 - 7958/7793, c_0110_3 + 4465/7793*c_0110_5^10 + 6920/7793*c_0110_5^9 + 41206/7793*c_0110_5^8 + 51049/7793*c_0110_5^7 + 110488/7793*c_0110_5^6 + 63204/7793*c_0110_5^5 + 105450/7793*c_0110_5^4 + 24214/7793*c_0110_5^3 + 48926/7793*c_0110_5^2 + 11075/7793*c_0110_5 + 3502/7793, c_0110_5^11 + c_0110_5^10 + 9*c_0110_5^9 + 7*c_0110_5^8 + 24*c_0110_5^7 + 5*c_0110_5^6 + 30*c_0110_5^5 - 5*c_0110_5^4 + 23*c_0110_5^3 - 7*c_0110_5^2 + 7*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB