Magma V2.19-8 Tue Aug 20 2013 23:55:49 on localhost [Seed = 3599810278] Type ? for help. Type -D to quit. Loading file "L14n131__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n131 geometric_solution 11.37077418 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 0 1 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 0 0 0 0 0 0 -1 0 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 0.938042944721 1.066584229932 0 3 3 4 0132 0321 0213 0132 0 1 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 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 0.102784715200 0.665456951153 5 0 0 6 0132 0132 0321 0132 0 1 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 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 0.938042944721 1.066584229932 7 1 0 1 0132 0213 0132 0321 0 1 1 1 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 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 0.719021472361 0.533292114966 5 6 1 6 3201 0132 0132 0213 0 1 1 1 0 4 -1 -3 0 0 0 0 0 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 0.695901761071 1.092536735472 2 7 8 4 0132 0213 0132 2310 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 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 0.823021912491 0.987058905243 9 4 2 4 0132 0132 0132 0213 0 1 1 1 0 -4 1 3 0 0 0 0 0 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 0.695901761071 1.092536735472 3 10 5 10 0132 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 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 0.245044785852 0.901146600636 9 11 11 5 3120 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193325293560 0.866927877178 6 11 10 8 0132 0213 0132 3120 1 1 1 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 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 0.450573300318 0.377477607074 7 7 11 9 3012 0132 0132 0132 1 1 1 1 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 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 0.546268367736 0.652049119465 8 8 9 10 2031 0132 0213 0132 1 1 1 1 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 -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 0.754955214148 1.098853399364 ==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' : d['c_0101_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_4'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1001_4'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_9'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_9']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_9']})} 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_4, c_0101_0, c_0101_10, c_0101_5, c_0101_9, c_1001_0, c_1001_1, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4387760/45917*c_1001_11*c_1001_4^2 + 4744248/45917*c_1001_11*c_1001_4 - 2543512/45917*c_1001_11 - 5234496/45917*c_1001_4^2 + 7151706/45917*c_1001_4 - 6223494/45917, c_0011_0 - 1, c_0011_10 + c_1001_4^2 - 1/2*c_1001_4 + 3/4, c_0011_11 + 8/17*c_1001_11*c_1001_4^2 + 4/17*c_1001_11*c_1001_4 + 18/17*c_1001_11 + 25/34*c_1001_4^2 - 77/68*c_1001_4 + 55/136, c_0011_4 + 8/17*c_1001_11*c_1001_4^2 + 4/17*c_1001_11*c_1001_4 + 1/17*c_1001_11 + 55/17*c_1001_4^2 - 115/34*c_1001_4 + 121/68, c_0101_0 - c_1001_4^2 + 5/2*c_1001_4 - 3/4, c_0101_10 + 4/17*c_1001_11*c_1001_4^2 + 2/17*c_1001_11*c_1001_4 + 9/17*c_1001_11 - 15/17*c_1001_4^2 + 19/34*c_1001_4 - 33/68, c_0101_5 + 5*c_1001_4^2 - 9/2*c_1001_4 + 11/4, c_0101_9 - 8/17*c_1001_11*c_1001_4^2 - 4/17*c_1001_11*c_1001_4 - 1/17*c_1001_11 - 4/17*c_1001_4^2 - 2/17*c_1001_4 - 9/17, c_1001_0 - 1, c_1001_1 + 2*c_1001_4^2 - 2*c_1001_4 + 1, c_1001_11^2 + 3/2*c_1001_11*c_1001_4^2 - 7/4*c_1001_11*c_1001_4 + 5/8*c_1001_11 + 41/32*c_1001_4^2 - 109/64*c_1001_4 + 135/128, c_1001_4^3 - 3/2*c_1001_4^2 + 5/4*c_1001_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB