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Loading file "K10n39__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n39 geometric_solution 9.25054161 oriented_manifold CS_known 0.0000000000000012 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -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 0.500000000000 0.866025403784 0 5 6 2 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.070695986873 0.758744956776 7 0 5 1 0132 0132 0132 0213 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 -1 1 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 0.500000000000 0.866025403784 8 9 4 0 0132 0132 2103 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621744414125 0.440596998966 3 6 0 7 2103 0132 0132 0213 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 0 0 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 1.121744414125 1.306622402750 7 1 9 2 1023 0132 2103 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 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 1.121744414125 1.306622402750 8 4 9 1 3120 0132 0321 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 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 0.500000000000 0.866025403784 2 5 8 4 0132 1023 0321 0213 0 0 0 0 0 -1 0 1 0 0 1 -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 0 0 0 0 -1 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 -0.070695986873 0.758744956776 3 9 7 6 0132 0321 0321 3120 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -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 0.500000000000 0.866025403784 5 3 6 8 2103 0132 0321 0321 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121744414125 1.306622402750 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_6'], 's_2_8' : d['1'], 's_2_9' : 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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_6'], 'c_1100_8' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], '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_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 551/192*c_1001_6^3 + 1835/192*c_1001_6^2 - 11389/192*c_1001_6 + 1423/48, c_0011_0 - 1, c_0011_3 - 1/24*c_1001_6^3 + 5/24*c_1001_6^2 - 19/24*c_1001_6 - 1/2, c_0011_4 - 1/24*c_1001_6^3 - 1/8*c_1001_6^2 - 1/8*c_1001_6 + 1/6, c_0101_0 - 1/3*c_1001_6^3 + 2/3*c_1001_6^2 - 16/3*c_1001_6 - 5, c_0101_1 - 1/24*c_1001_6^3 + 5/24*c_1001_6^2 - 19/24*c_1001_6 - 1/2, c_0101_2 + 1/12*c_1001_6^3 - 1/12*c_1001_6^2 + 23/12*c_1001_6 + 7/3, c_0101_5 + 1/12*c_1001_6^3 - 1/12*c_1001_6^2 + 11/12*c_1001_6 + 4/3, c_1001_0 + 1, c_1001_1 + 1/8*c_1001_6^3 - 7/24*c_1001_6^2 + 65/24*c_1001_6 + 17/6, c_1001_6^4 - c_1001_6^3 + 15*c_1001_6^2 + 32*c_1001_6 + 16 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 43*c_1001_6^3 + 857/6*c_1001_6^2 + 1537/12*c_1001_6 - 269/12, c_0011_0 - 1, c_0011_3 + 2/3*c_1001_6^3 + 5/3*c_1001_6^2 + 7/6*c_1001_6 - 1/2, c_0011_4 + 2/3*c_1001_6^3 + 3*c_1001_6^2 + 7/2*c_1001_6 - 1/6, c_0101_0 + 2/3*c_1001_6^3 + 7/3*c_1001_6^2 + 11/6*c_1001_6 + 1/6, c_0101_1 + 2/3*c_1001_6^2 + 5/3*c_1001_6 + 2/3, c_0101_2 + 2/3*c_1001_6^3 + 7/3*c_1001_6^2 + 11/6*c_1001_6 + 1/6, c_0101_5 - 2/3*c_1001_6^2 - 5/3*c_1001_6 - 2/3, c_1001_0 - c_1001_6 - 1, c_1001_1 + 4/3*c_1001_6^3 + 14/3*c_1001_6^2 + 14/3*c_1001_6 + 1/3, c_1001_6^4 + 7/2*c_1001_6^3 + 15/4*c_1001_6^2 + 1/2*c_1001_6 + 1/4 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1177/8*c_1001_6^3 - 1545/8*c_1001_6^2 - 489/8*c_1001_6 - 3705/8, c_0011_0 - 1, c_0011_3 + c_1001_6^2 - c_1001_6 + 1, c_0011_4 - 1/2*c_1001_6^3 - c_1001_6 + 1/2, c_0101_0 - c_1001_6^3 - c_1001_6 - 1, c_0101_1 - c_1001_6^2 - 1, c_0101_2 + 1/2*c_1001_6^3 + 1/2, c_0101_5 + 1/2*c_1001_6^3 - c_1001_6^2 + c_1001_6 + 1/2, c_1001_0 + 1/2*c_1001_6^3 + c_1001_6 - 1/2, c_1001_1 - 1/2*c_1001_6^3 - 1/2, c_1001_6^4 + c_1001_6^3 + 3*c_1001_6 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_1001_6^2, c_0011_0 - 1, c_0011_3 - c_1001_6^2 - 1, c_0011_4 - 1, c_0101_0 - c_1001_6^3 - c_1001_6 - 1, c_0101_1 - c_1001_6^2 - 1, c_0101_2 + c_1001_6^3 + c_1001_6^2 + 2*c_1001_6 + 2, c_0101_5 + c_1001_6^3 + c_1001_6^2 + c_1001_6 + 1, c_1001_0 + 1, c_1001_1 - c_1001_6^3 - c_1001_6^2 - 2*c_1001_6 - 2, c_1001_6^4 + c_1001_6^3 + 2*c_1001_6^2 + 2*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB