Magma V2.19-8 Wed Aug 21 2013 01:02:43 on localhost [Seed = 3802462466] Type ? for help. Type -D to quit. Loading file "L14n15505__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15505 geometric_solution 11.74836712 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 0 1 7 0 -7 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 -0.073525949759 1.109148359377 0 5 2 6 0132 0132 1302 0132 0 1 1 1 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 0 1 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501934322066 0.250007476405 1 0 8 7 2031 0132 0132 0132 1 0 1 1 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 1 -1 0 -1 0 1 0 0 0 0 0 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240674630274 0.570810766692 6 4 9 0 0132 0132 0132 0132 1 1 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 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264211568050 0.527866314115 5 3 0 10 0213 0132 0132 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 0 -1 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 0.493035489494 0.899456766575 4 1 11 7 0213 0132 0132 1230 0 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 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 0.757843614082 0.759754537019 3 12 1 11 0132 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 -1 7 0 0 -7 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.276618634341 0.948170383568 5 8 2 9 3012 0132 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829508508080 1.903573428964 10 7 12 2 0213 0132 1023 0132 1 0 1 1 0 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 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 8 0 0 -8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163209794347 0.924401556862 7 12 10 3 3201 2310 0132 0132 1 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 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276618634341 0.948170383568 8 11 4 9 0213 2103 0132 0132 1 1 0 1 0 0 0 0 -1 0 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 1 -1 0 -8 0 0 8 -1 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568630565653 1.392685985290 12 10 6 5 0321 2103 0132 0132 0 1 1 1 0 -1 0 1 -1 0 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 -1 1 0 -7 0 7 0 0 -1 0 1 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 11 6 8 9 0321 0132 1023 3201 0 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 -1 0 1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_1001_5']), 's_3_11' : negation(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_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_0011_12, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 8644/759*c_1001_5*c_1100_0^2 + 13210/253*c_1001_5*c_1100_0 - 15138/253*c_1001_5 + 17309/253*c_1100_0^2 - 55647/253*c_1100_0 + 35820/253, c_0011_0 - 1, c_0011_10 - c_1001_5*c_1100_0^2 + 2*c_1001_5*c_1100_0 - 2*c_1001_5 - 2*c_1100_0, c_0011_11 - c_1001_5*c_1100_0^2 - c_1001_5 - 3*c_1100_0^2 + 2*c_1100_0, c_0011_12 - c_1001_5*c_1100_0^2 - c_1001_5 - 3*c_1100_0^2 + c_1100_0, c_0011_7 + 2*c_1001_5*c_1100_0^2 - 3*c_1001_5*c_1100_0 + c_1001_5 + 2*c_1100_0^2 + 1, c_0011_9 + c_1001_5*c_1100_0^2 - 2*c_1001_5*c_1100_0 + c_1001_5 + c_1100_0, c_0101_0 + c_1100_0, c_0101_11 + c_1100_0^2 - c_1100_0, c_0101_2 - c_1001_5 - c_1100_0, c_0101_7 - 1, c_1001_0 + c_1100_0^2 - 2*c_1100_0 + 1, c_1001_5^2 + 3*c_1001_5*c_1100_0 - 3*c_1001_5 + 9/5*c_1100_0^2 - 3*c_1100_0 + 3/5, c_1100_0^3 - 3*c_1100_0^2 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB