Magma V2.19-8 Wed Aug 21 2013 00:53:30 on localhost [Seed = 1916037013] Type ? for help. Type -D to quit. Loading file "L12n1622__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1622 geometric_solution 11.86892777 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 -1 0 1 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 1 0 -4 3 0 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509569492754 1.369095940645 0 2 6 5 0132 0321 0132 0132 0 1 1 0 0 1 -1 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 0 -1 1 -1 0 1 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492431508491 0.276973171204 7 0 8 1 0132 0132 0132 0321 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.188305373961 1.196881606877 5 9 9 0 0132 0132 1302 0132 0 1 1 2 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 0 0 -4 4 0 4 0 -4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340368441226 0.736927389040 5 10 0 11 3120 0132 0132 0132 0 1 2 0 0 1 -1 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 0 0 0 0 -3 3 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.030015301799 1.006102332277 3 11 1 4 0132 2031 0132 3120 0 1 2 1 0 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 -1 1 0 0 0 0 1 2 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164517077060 0.841512767036 7 12 7 1 1302 0132 0321 0132 0 1 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 0 -1 1 0 0 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 0.871725229636 0.815323057677 2 6 6 10 0132 2031 0321 2103 0 0 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 0 0 0 0 0 0 -1 1 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 0.388115528022 0.572294458939 10 12 12 2 2103 2031 0321 0132 0 0 0 2 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 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 0.388115528022 0.572294458939 3 3 11 12 2031 0132 2031 0213 0 0 2 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 0 0 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483439208620 1.118399208520 11 4 8 7 1023 0132 2103 2103 0 0 0 2 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128274770364 0.815323057677 5 10 4 9 1302 1023 0132 1302 0 1 0 2 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 3 0 -3 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323978142840 0.979955987778 8 6 8 9 1302 0132 0321 0213 0 2 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 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 0.871725229636 0.815323057677 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : negation(d['c_0110_12']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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_3'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_10']), 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : negation(d['c_0110_11']), 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_0011_12'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_12']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], '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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_0110_10, c_0110_11, c_0110_12, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 301891584/221375*c_1001_1^2 - 634601472/221375*c_1001_1 - 337055744/221375, c_0011_0 - 1, c_0011_10 - 8/5*c_1001_1^2 - 2/5*c_1001_1 + 1, c_0011_12 + 16/5*c_1001_1^2 + 9/5*c_1001_1 - 3/2, c_0011_3 - 1, c_0011_8 + 32/5*c_1001_1^2 + 28/5*c_1001_1 - 2, c_0101_0 - 1, c_0101_1 + 24/5*c_1001_1^2 + 16/5*c_1001_1 - 5/2, c_0101_2 - 48/5*c_1001_1^2 - 32/5*c_1001_1 + 4, c_0101_9 - 8*c_1001_1^2 - 4*c_1001_1 + 4, c_0110_10 + 16/5*c_1001_1^2 + 9/5*c_1001_1 - 1, c_0110_11 + 32/5*c_1001_1^2 + 18/5*c_1001_1 - 7/2, c_0110_12 - 8/5*c_1001_1^2 - 2/5*c_1001_1 + 1/2, c_1001_1^3 + 7/4*c_1001_1^2 + 3/8*c_1001_1 - 25/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB