Magma V2.19-8 Tue Aug 20 2013 23:42:29 on localhost [Seed = 2430006779] Type ? for help. Type -D to quit. Loading file "L13n3151__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3151 geometric_solution 10.57421984 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 0 1 1 1 0 0 1 -1 0 0 -1 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 1 -1 0 1 0 3 -4 4 0 0 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436948925410 0.528564456104 0 5 6 3 0132 0132 0132 0321 0 1 1 1 0 0 1 -1 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 -1 1 -1 0 0 1 4 -3 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475294744374 1.603279038130 7 0 8 5 0132 0132 0132 0132 0 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 -1 1 0 0 0 0 0 4 -4 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486446275337 0.723692808840 9 1 10 0 0132 0321 0132 0132 0 1 1 1 0 1 0 -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 -1 0 1 0 0 3 -3 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838545814950 0.748321009783 9 7 0 5 3120 0213 0132 0213 0 1 1 1 0 -1 1 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 4 -4 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712898697223 0.704075342697 10 1 2 4 0213 0132 0132 0213 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -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 -4 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486446275337 0.723692808840 9 7 8 1 2103 0321 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 -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 0.184377574299 0.563380482289 2 10 4 6 0132 0213 0213 0321 0 1 1 1 0 0 1 -1 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 0 0 -1 1 3 -3 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486446275337 0.723692808840 9 10 6 2 1302 0132 0321 0132 0 1 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 1 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436948925410 0.528564456104 3 8 6 4 0132 2031 2103 3120 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 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336143621252 0.592427589332 5 8 7 3 0213 0132 0213 0132 0 1 1 1 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 0 0 0 0 0 3 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712898697223 0.704075342697 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_0101_1']), 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_6'], 'c_1100_10' : d['c_1001_1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0011_10']), '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1']})} 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_6, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 901/17199*c_1001_6^3 + 2008/5733*c_1001_6^2 + 638/819*c_1001_6 + 943/1911, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_6^3 - 5/3*c_1001_6^2 - 3*c_1001_6 - 2, c_0011_3 - 1/3*c_1001_6^2 - c_1001_6, c_0011_6 - 1/3*c_1001_6^3 - 4/3*c_1001_6^2 - 2*c_1001_6 - 1, c_0101_1 - 1/3*c_1001_6^3 - 5/3*c_1001_6^2 - 2*c_1001_6 - 1, c_0101_3 - 1/3*c_1001_6^2 - c_1001_6 - 1, c_1001_0 - 1, c_1001_1 - 1/3*c_1001_6^3 - c_1001_6^2 - c_1001_6 - 1, c_1001_10 + 1/3*c_1001_6^3 + c_1001_6^2 + c_1001_6 + 2, c_1001_3 + 1/3*c_1001_6^3 + 4/3*c_1001_6^2 + 2*c_1001_6 + 1, c_1001_6^4 + 6*c_1001_6^3 + 12*c_1001_6^2 + 9*c_1001_6 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB