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Loading file "K14n16147__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n16147 geometric_solution 10.41853250 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 2103 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 0 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 0.106435529134 1.042077130113 0 0 2 4 0132 2103 2310 0132 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 -1 1 1 0 20 -21 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106435529134 1.042077130113 3 1 4 0 0132 3201 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 1 0 -1 -1 -20 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.287467281512 1.862326198742 2 5 0 6 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 1 -1 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 0.582310453021 0.675929414424 2 7 1 8 2310 0132 0132 0132 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 -1 1 -21 0 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582310453021 0.675929414424 8 3 9 10 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427484803271 0.220251768827 11 9 3 7 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352983368978 0.636515061641 6 4 9 10 3201 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.352983368978 0.636515061641 11 9 4 5 3201 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.427484803271 0.220251768827 8 6 7 5 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.193103960120 1.992605714440 11 7 5 11 1230 2310 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151449830833 0.952423200567 6 10 10 8 0132 3012 1230 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151449830833 0.952423200567 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_2_11' : 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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_2']), 'c_1100_8' : d['c_0011_2'], '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_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_2']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 6308223/2786*c_0101_11*c_1001_5^7 + 2914429/199*c_0101_11*c_1001_5^6 + 57246412/1393*c_0101_11*c_1001_5^5 + 95328302/1393*c_0101_11*c_1001_5^4 + 176594357/2786*c_0101_11*c_1001_5^3 + 7599760/199*c_0101_11*c_1001_5^2 + 43841573/2786*c_0101_11*c_1001_5 + 8506139/2786*c_0101_11 - 5576309/2786*c_1001_5^7 - 2570601/199*c_1001_5^6 - 50388711/1393*c_1001_5^5 - 83778935/1393*c_1001_5^4 - 154791843/2786*c_1001_5^3 - 6664796/199*c_1001_5^2 - 38255681/2786*c_1001_5 - 7375309/2786, c_0011_0 - 1, c_0011_10 - 29/14*c_0101_11*c_1001_5^7 - 11*c_0101_11*c_1001_5^6 - 165/7*c_0101_11*c_1001_5^5 - 193/7*c_0101_11*c_1001_5^4 - 83/14*c_0101_11*c_1001_5^3 + 3*c_0101_11*c_1001_5^2 + 87/14*c_0101_11*c_1001_5 + 41/14*c_0101_11, c_0011_11 - 29/14*c_0101_11*c_1001_5^7 - 11*c_0101_11*c_1001_5^6 - 165/7*c_0101_11*c_1001_5^5 - 193/7*c_0101_11*c_1001_5^4 - 83/14*c_0101_11*c_1001_5^3 + 3*c_0101_11*c_1001_5^2 + 87/14*c_0101_11*c_1001_5 + 41/14*c_0101_11, c_0011_2 + 10/7*c_1001_5^7 + 15/2*c_1001_5^6 + 223/14*c_1001_5^5 + 265/14*c_1001_5^4 + 71/14*c_1001_5^3 - 23/7*c_1001_5 - 29/14, c_0011_4 - 10/7*c_1001_5^7 - 15/2*c_1001_5^6 - 223/14*c_1001_5^5 - 265/14*c_1001_5^4 - 71/14*c_1001_5^3 + 23/7*c_1001_5 + 29/14, c_0101_0 - 15/14*c_1001_5^7 - 6*c_1001_5^6 - 95/7*c_1001_5^5 - 116/7*c_1001_5^4 - 69/14*c_1001_5^3 + 3*c_1001_5^2 + 45/14*c_1001_5 + 27/14, c_0101_10 + 32/7*c_0101_11*c_1001_5^7 + 49/2*c_0101_11*c_1001_5^6 + 743/14*c_0101_11*c_1001_5^5 + 883/14*c_0101_11*c_1001_5^4 + 237/14*c_0101_11*c_1001_5^3 - 3*c_0101_11*c_1001_5^2 - 75/7*c_0101_11*c_1001_5 - 97/14*c_0101_11 + 39/14*c_1001_5^7 + 15*c_1001_5^6 + 226/7*c_1001_5^5 + 261/7*c_1001_5^4 + 115/14*c_1001_5^3 - 4*c_1001_5^2 - 75/14*c_1001_5 - 59/14, c_0101_11^2 + 6/7*c_0101_11*c_1001_5^7 + 9/2*c_0101_11*c_1001_5^6 + 131/14*c_0101_11*c_1001_5^5 + 145/14*c_0101_11*c_1001_5^4 + 23/14*c_0101_11*c_1001_5^3 - c_0101_11*c_1001_5^2 - 11/7*c_0101_11*c_1001_5 - 23/14*c_0101_11 + 11/14*c_1001_5^7 + 4*c_1001_5^6 + 58/7*c_1001_5^5 + 65/7*c_1001_5^4 + 17/14*c_1001_5^3 - c_1001_5^2 - 19/14*c_1001_5 - 17/14, c_0101_2 + 41/14*c_1001_5^7 + 31/2*c_1001_5^6 + 461/14*c_1001_5^5 + 531/14*c_1001_5^4 + 53/7*c_1001_5^3 - 3*c_1001_5^2 - 81/14*c_1001_5 - 32/7, c_0101_9 - c_1001_5, c_1001_10 - 41/14*c_1001_5^7 - 31/2*c_1001_5^6 - 461/14*c_1001_5^5 - 531/14*c_1001_5^4 - 53/7*c_1001_5^3 + 3*c_1001_5^2 + 81/14*c_1001_5 + 32/7, c_1001_5^8 + 6*c_1001_5^7 + 15*c_1001_5^6 + 21*c_1001_5^5 + 12*c_1001_5^4 + c_1001_5^3 - 3*c_1001_5^2 - 3*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.650 Total time: 1.860 seconds, Total memory usage: 32.09MB