Magma V2.19-8 Wed Aug 21 2013 00:28:17 on localhost [Seed = 2547090497] Type ? for help. Type -D to quit. Loading file "K14n15860__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15860 geometric_solution 11.57332518 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 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 -0.155137475649 1.380442936318 0 5 6 6 0132 0132 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 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 -0.196979346499 0.744860932525 4 0 7 7 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384817028557 0.547620891667 8 6 9 0 0132 2310 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 0 0 0 -1 0 1 0 0 0 0 0 -21 1 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.287481856337 1.110043785692 10 2 0 5 0132 2031 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 0.529713438369 0.509994629283 4 1 11 11 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533787609549 0.808039364444 7 1 1 3 1302 0213 0132 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 1 0 -1 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 0.602230317033 0.374758208529 2 6 2 8 2310 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537001383653 0.644631804550 3 10 7 12 0132 2103 2031 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 0 1 -1 1 0 -1 0 21 -21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505959545943 0.324628196263 12 10 11 3 0132 3201 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 0 0 0 0 0 1 -1 0 20 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259077643196 0.429040340636 4 8 9 12 0132 2103 2310 2103 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 21 -20 -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 0.106573472195 1.199343515888 9 5 12 5 2103 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 1 -1 -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 0.430843179460 0.861580724826 9 11 8 10 0132 0213 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 -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 0.066590617341 1.129145878659 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_1001_11']), '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_0011_12'], 'c_0101_10' : negation(d['c_0011_11']), '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0011_6']), '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' : negation(d['c_0011_6']), '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_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_5'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : negation(d['c_0011_7']), 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0110_6']})} 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_12, c_0101_5, c_0101_7, c_0110_6, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 739/22*c_1001_11^3 + 471/11*c_1001_11^2 + 457/22*c_1001_11 + 291/11, c_0011_0 - 1, c_0011_10 - c_1001_11^3 - c_1001_11^2 + 2*c_1001_11, c_0011_11 + c_1001_11^3 - 1, c_0011_12 - c_1001_11^2, c_0011_3 + c_1001_11^2 - 1, c_0011_6 - c_1001_11^3 + c_1001_11, c_0011_7 + c_1001_11^3 - c_1001_11^2 - c_1001_11 + 1, c_0101_12 - c_1001_11^2 + 1, c_0101_5 - c_1001_11^3 + c_1001_11 + 1, c_0101_7 - c_1001_11^3 + 2*c_1001_11 - 1, c_0110_6 + c_1001_11^2 - 2, c_1001_1 + 1, c_1001_11^4 - c_1001_11^2 - 1 ], 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_12, c_0101_5, c_0101_7, c_0110_6, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 23/11*c_1001_11^3 - 7/22*c_1001_11^2 - 49/22*c_1001_11 - 21/22, c_0011_0 - 1, c_0011_10 - c_1001_11^2 - c_1001_11, c_0011_11 + c_1001_11^3 + c_1001_11^2 + 1, c_0011_12 - c_1001_11^2, c_0011_3 - c_1001_11^2, c_0011_6 - c_1001_11^3 + c_1001_11, c_0011_7 + c_1001_11^3 + c_1001_11^2 - c_1001_11, c_0101_12 - c_1001_11^2 + 1, c_0101_5 - c_1001_11^3 - c_1001_11^2 + c_1001_11 - 1, c_0101_7 - c_1001_11 - 1, c_0110_6 - c_1001_11^2 - 1, c_1001_1 + 1, c_1001_11^4 - c_1001_11^2 - 1 ], 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_12, c_0101_5, c_0101_7, c_0110_6, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 347/10602*c_0110_6*c_1001_11^3 - 539/5301*c_0110_6*c_1001_11^2 - 84/589*c_0110_6*c_1001_11 - 109/1767*c_0110_6 + 17/186*c_1001_11^3 + 913/3534*c_1001_11^2 + 34/93*c_1001_11 + 307/1767, c_0011_0 - 1, c_0011_10 - c_0110_6*c_1001_11^3 + c_0110_6*c_1001_11 + c_1001_11^3 - c_1001_11^2 - c_1001_11 + 2, c_0011_11 + c_0110_6*c_1001_11^2 - 2*c_0110_6 + c_1001_11^3 - c_1001_11^2 - 2*c_1001_11 + 2, c_0011_12 - c_1001_11^2, c_0011_3 + c_0110_6 - 1, c_0011_6 - c_1001_11^3 + c_1001_11, c_0011_7 + c_0110_6 + c_1001_11^3 - c_1001_11 - 1, c_0101_12 + c_1001_11^2 - 3, c_0101_5 - c_0110_6*c_1001_11^2 + 2*c_0110_6 - c_1001_11^3 + c_1001_11^2 + c_1001_11 - 2, c_0101_7 - c_0110_6*c_1001_11^3 + c_0110_6*c_1001_11 + c_1001_11^3 - c_1001_11 - 1, c_0110_6^2 - 3*c_0110_6 + 1, c_1001_1 - 1, c_1001_11^4 - 3*c_1001_11^2 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 76.210 Total time: 76.420 seconds, Total memory usage: 321.72MB