Magma V2.19-8 Tue Aug 20 2013 23:41:52 on localhost [Seed = 3137134584] Type ? for help. Type -D to quit. Loading file "L12n371__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n371 geometric_solution 10.66436111 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 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 0 0 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 0.515167754799 1.076046422512 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734171222733 1.012316044054 8 0 5 9 0132 0132 2031 0132 1 1 1 1 0 0 0 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 0 0 0 0 0 -1 1 13 0 0 -13 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440575864312 0.547309284343 8 5 7 0 2031 0213 3120 0132 1 0 1 1 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 1 0 -1 1 0 0 -1 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348064430952 0.772501188681 8 9 0 6 3012 2103 0132 2103 1 0 1 1 0 0 0 0 -1 0 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 -1 1 0 -1 0 1 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638040281411 0.756036177833 9 1 3 2 0321 0132 0213 1302 1 1 1 1 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 -1 1 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647347338744 0.469481630772 10 7 1 4 0132 3120 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530518369228 0.647347338744 10 6 3 1 2103 3120 3120 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242666566117 0.924110853464 2 10 3 4 0132 1302 1302 1230 0 1 1 1 0 0 -1 1 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 0 -1 1 0 0 0 0 -14 1 0 13 -13 -1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515167754799 1.076046422512 5 4 2 10 0321 2103 0132 3201 1 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 0 0 0 -1 1 0 1 0 -1 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.022843062014 1.361696880628 6 9 7 8 0132 2310 2103 2031 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 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 0.530518369228 0.647347338744 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_1']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : 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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0011_4'], '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_0011_3']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 448/51*c_1001_3^3 - 64/51*c_1001_3^2 - 80/17*c_1001_3 + 656/51, c_0011_0 - 1, c_0011_10 - 2/3*c_1001_3^3 - 2/3*c_1001_3^2 - 1/2*c_1001_3 + 5/6, c_0011_3 - 1/3*c_1001_3^3 + 1/6*c_1001_3^2 - 3/4*c_1001_3 + 25/24, c_0011_4 - c_1001_3^3 - 1/2*c_1001_3^2 - 5/4*c_1001_3 + 11/8, c_0011_7 - 4/3*c_1001_3^3 - 4/3*c_1001_3^2 - 2*c_1001_3 + 5/3, c_0011_9 - 5/3*c_1001_3^3 - 7/6*c_1001_3^2 - 7/4*c_1001_3 + 41/24, c_0101_0 - 1, c_0101_1 - 4/3*c_1001_3^3 - 4/3*c_1001_3^2 - c_1001_3 + 5/3, c_0101_10 + 4/3*c_1001_3^3 + 4/3*c_1001_3^2 + 2*c_1001_3 - 7/6, c_0101_3 - 2/3*c_1001_3^3 + 1/3*c_1001_3^2 - 1/2*c_1001_3 + 7/12, c_1001_3^4 + 1/2*c_1001_3^2 - 2*c_1001_3 + 17/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB