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Loading file "K14n6349__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6349 geometric_solution 11.72885718 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 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 1 0 -1 -9 0 0 9 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677294475835 0.901080252314 0 4 6 5 0132 0132 0132 0132 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 0 1 -1 9 0 0 -9 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715007106984 0.998384125894 6 0 0 7 2103 0132 0321 0132 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 -1 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677294475835 0.901080252314 8 9 0 4 0132 0132 0132 1230 0 0 0 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 0 0 0 0 0 0 1 -1 8 0 -9 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.149950332837 1.289801869328 3 1 10 9 3012 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759596164247 0.922248117902 11 12 1 9 0132 0132 0132 1302 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 -1 1 0 0 0 9 -9 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232218841421 0.637709610388 8 11 2 1 3120 0132 2103 0132 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 9 -8 -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 0.264373894002 0.926151863926 9 10 2 12 0321 0213 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 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 0.694838289321 0.582977223532 3 12 11 6 0132 2031 1230 3120 0 0 0 0 0 0 0 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 0 0 0 -8 0 8 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343495172162 0.589855582489 7 3 5 4 0321 0132 2031 1023 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 0 0 -1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236890053977 0.700365315152 11 12 7 4 2310 0321 0213 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 0.068503642667 1.523725439004 5 6 10 8 0132 0132 3201 3012 0 0 0 0 0 1 0 -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 -9 0 9 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.858787821526 0.587051236913 8 5 7 10 1302 0132 0132 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 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 1.142184815006 0.616475417121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], '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_12' : 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' : negation(d['c_1001_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], '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'], 'c_1100_12' : d['c_1001_0'], '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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), '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_0011_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 229315/54*c_1001_4 + 694511/189, c_0011_0 - 1, c_0011_10 + c_1001_4 - 1, c_0011_11 - c_1001_4, c_0011_3 + 4/3*c_1001_4 + 1/3, c_0011_7 - c_1001_4, c_0101_0 - c_1001_4 - 1, c_0101_1 + c_1001_4, c_0101_11 - 2*c_1001_4, c_0101_7 - c_1001_4, c_0110_4 + 1/3*c_1001_4 + 1/3, c_1001_0 - 1/3*c_1001_4 - 1/3, c_1001_12 - 2/3*c_1001_4 + 1/3, c_1001_4^2 - 1/7*c_1001_4 + 1/7 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 277749/25012*c_1001_4^3 - 264627/25012*c_1001_4^2 + 24057/676*c_1001_4 - 250776/6253, c_0011_0 - 1, c_0011_10 + 9/13*c_1001_4^3 - 15/26*c_1001_4^2 + 67/26*c_1001_4 - 43/26, c_0011_11 + 3/13*c_1001_4^3 - 9/13*c_1001_4^2 + 22/13*c_1001_4 - 31/13, c_0011_3 + 33/26*c_1001_4^3 - 21/26*c_1001_4^2 + 99/26*c_1001_4 - 47/13, c_0011_7 + 3/26*c_1001_4^3 - 9/26*c_1001_4^2 + 9/26*c_1001_4 - 22/13, c_0101_0 - 3/26*c_1001_4^3 + 9/26*c_1001_4^2 - 9/26*c_1001_4 - 4/13, c_0101_1 - 21/26*c_1001_4^3 + 12/13*c_1001_4^2 - 38/13*c_1001_4 + 87/26, c_0101_11 + 15/26*c_1001_4^3 - 3/13*c_1001_4^2 + 16/13*c_1001_4 - 25/26, c_0101_7 - 9/13*c_1001_4^3 + 15/26*c_1001_4^2 - 67/26*c_1001_4 + 69/26, c_0110_4 + 9/13*c_1001_4^3 - 15/26*c_1001_4^2 + 67/26*c_1001_4 - 69/26, c_1001_0 + 21/26*c_1001_4^3 - 12/13*c_1001_4^2 + 38/13*c_1001_4 - 87/26, c_1001_12 + 1, c_1001_4^4 - 2*c_1001_4^3 + 13/3*c_1001_4^2 - 22/3*c_1001_4 + 37/9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_1001_0, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 50301/130*c_1001_4^3 + 19683/65*c_1001_4^2 + 13851/65*c_1001_4 + 6561/130, c_0011_0 - 1, c_0011_10 + 9/5*c_1001_4^3 - 6/5*c_1001_4^2 + 13/5*c_1001_4 + 4/5, c_0011_11 - c_1001_4, c_0011_3 + 27/5*c_1001_4^3 - 3/5*c_1001_4^2 + 29/5*c_1001_4 + 17/5, c_0011_7 - 108/5*c_1001_4^3 + 27/5*c_1001_4^2 - 116/5*c_1001_4 - 43/5, c_0101_0 - 9/5*c_1001_4^3 + 6/5*c_1001_4^2 - 13/5*c_1001_4 - 4/5, c_0101_1 + 9/5*c_1001_4^3 - 6/5*c_1001_4^2 + 13/5*c_1001_4 - 1/5, c_0101_11 - 9/5*c_1001_4^3 + 6/5*c_1001_4^2 - 8/5*c_1001_4 + 1/5, c_0101_7 - 9/5*c_1001_4^3 + 6/5*c_1001_4^2 - 13/5*c_1001_4 + 1/5, c_0110_4 - 9*c_1001_4^3 + 3*c_1001_4^2 - 10*c_1001_4 - 3, c_1001_0 + 9*c_1001_4^3 - 3*c_1001_4^2 + 10*c_1001_4 + 3, c_1001_12 + 63/5*c_1001_4^3 - 12/5*c_1001_4^2 + 66/5*c_1001_4 + 28/5, c_1001_4^4 + c_1001_4^2 + 2/3*c_1001_4 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.640 Total time: 10.849 seconds, Total memory usage: 157.06MB