Magma V2.19-8 Wed Aug 21 2013 00:55:01 on localhost [Seed = 1191271712] Type ? for help. Type -D to quit. Loading file "L12n86__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n86 geometric_solution 12.40477830 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544446092054 0.719522747453 0 4 5 4 0132 0132 0132 1230 1 1 0 1 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 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628140248205 0.992113533198 0 0 6 4 2031 0132 0132 0132 1 1 0 1 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 -1 0 -7 8 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331257831290 0.883788513851 7 8 0 4 0132 0132 0132 0213 1 1 1 1 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 1 0 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 0.333866049004 1.182053294869 1 1 2 3 3012 0132 0132 0213 1 1 1 0 0 0 0 0 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 -8 8 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331257831290 0.883788513851 7 6 9 1 3120 1023 0132 0132 1 1 1 1 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 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280477252547 0.544446092054 5 10 8 2 1023 0132 0321 0132 1 1 1 1 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 0 0 -7 7 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252238201156 1.451511612692 3 11 9 5 0132 0132 3120 3120 1 1 1 1 0 0 1 -1 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 -7 7 0 0 0 0 0 -1 0 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480015155129 0.591750238966 12 3 6 10 0132 0132 0321 0132 1 1 1 1 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 0 -1 0 0 -7 7 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480015155129 0.591750238966 11 10 7 5 2103 1023 3120 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 8 -8 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028503542437 0.843988440122 9 6 8 12 1023 0132 0132 0213 1 1 1 1 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 0 1 -1 0 0 -7 7 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586609285511 0.509617355766 12 7 9 12 1023 0132 2103 3012 1 1 1 1 0 0 1 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8 8 1 0 -1 0 0 -8 0 8 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039969689741 1.183500477931 8 11 11 10 0132 1023 1230 0213 1 1 1 1 0 0 0 0 0 0 1 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -8 8 7 0 0 -7 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039969689741 1.183500477931 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0110_11'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0110_11'], 's_3_11' : 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_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_11'], '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_8'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_6']), 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0110_11']})} 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_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0110_11, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5081781/50912*c_1001_10^5 - 29088809/50912*c_1001_10^4 - 154432149/50912*c_1001_10^3 - 220787375/50912*c_1001_10^2 - 35714371/12728*c_1001_10 - 13141607/25456, c_0011_0 - 1, c_0011_10 + 41/172*c_1001_10^5 + 255/172*c_1001_10^4 + 1347/172*c_1001_10^3 + 2327/172*c_1001_10^2 + 797/86*c_1001_10 + 81/43, c_0011_11 + 61/172*c_1001_10^5 + 371/172*c_1001_10^4 + 1981/172*c_1001_10^3 + 3309/172*c_1001_10^2 + 606/43*c_1001_10 + 219/86, c_0101_1 - 1, c_0101_10 + 5/43*c_1001_10^5 + 29/43*c_1001_10^4 + 317/86*c_1001_10^3 + 491/86*c_1001_10^2 + 415/86*c_1001_10 + 57/86, c_0101_11 - 4/43*c_1001_10^5 - 55/86*c_1001_10^4 - 144/43*c_1001_10^3 - 291/43*c_1001_10^2 - 209/43*c_1001_10 - 123/86, c_0101_2 - 21/43*c_1001_10^5 - 235/86*c_1001_10^4 - 627/43*c_1001_10^3 - 1701/86*c_1001_10^2 - 549/43*c_1001_10 - 124/43, c_0101_4 - 21/43*c_1001_10^5 - 235/86*c_1001_10^4 - 627/43*c_1001_10^3 - 1701/86*c_1001_10^2 - 592/43*c_1001_10 - 124/43, c_0101_6 + 41/172*c_1001_10^5 + 255/172*c_1001_10^4 + 1347/172*c_1001_10^3 + 2327/172*c_1001_10^2 + 797/86*c_1001_10 + 81/43, c_0101_7 - c_1001_10, c_0110_11 - 4/43*c_1001_10^5 - 55/86*c_1001_10^4 - 144/43*c_1001_10^3 - 291/43*c_1001_10^2 - 209/43*c_1001_10 - 123/86, c_1001_10^6 + 6*c_1001_10^5 + 32*c_1001_10^4 + 52*c_1001_10^3 + 41*c_1001_10^2 + 14*c_1001_10 + 2, c_1001_8 - 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_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0110_11, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 395/4*c_1001_10^3 + 195/4*c_1001_10^2 - 73/4*c_1001_10 - 93/4, c_0011_0 - 1, c_0011_10 + 5/4*c_0110_11*c_1001_10^3 + 5/4*c_0110_11*c_1001_10^2 - 7/4*c_0110_11*c_1001_10 - 3/4*c_0110_11 + 5/4*c_1001_10^3 - 1/4*c_1001_10 + 1/2, c_0011_11 - 5/4*c_1001_10^3 + 5/4*c_1001_10^2 + 3/4*c_1001_10 + 1/4, c_0101_1 - 1, c_0101_10 + 5/4*c_1001_10^3 - 1/4*c_1001_10 + 1/2, c_0101_11 + c_0110_11 - c_1001_10, c_0101_2 - 5/2*c_1001_10^2 + c_1001_10 + 1/2, c_0101_4 - 5/2*c_1001_10^2 + 1/2, c_0101_6 - 5/4*c_0110_11*c_1001_10^3 - 5/4*c_0110_11*c_1001_10^2 + 7/4*c_0110_11*c_1001_10 + 3/4*c_0110_11 + 5/2*c_1001_10^3 - 5/4*c_1001_10^2 - c_1001_10 + 1/4, c_0101_7 - c_1001_10, c_0110_11^2 - c_0110_11*c_1001_10 - 5/4*c_1001_10^3 + 5/4*c_1001_10^2 + 1/4*c_1001_10 - 1/4, c_1001_10^4 - 2/5*c_1001_10^2 + 1/5, c_1001_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB