Magma V2.19-8 Wed Aug 21 2013 00:37:17 on localhost [Seed = 290914518] Type ? for help. Type -D to quit. Loading file "K14n24547__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24547 geometric_solution 12.06329673 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342888552053 0.776302696191 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523910337095 1.077871182136 6 0 8 7 0132 0132 0132 0132 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 -1 1 0 7 0 -7 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 0.557501223959 0.826137802808 7 9 10 0 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -0.048627354200 1.167147875991 8 10 1 10 2103 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456414616902 0.740946422283 11 11 10 1 0132 1230 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530580566752 0.759630684862 2 8 12 11 0132 3120 0132 0321 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 -7 0 6 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 1.548231809621 0.413327242495 12 9 2 3 0132 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907551977394 0.920915652226 12 6 4 2 2103 3120 2103 0132 0 0 0 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 0 0 0 0 1 -1 -6 0 -1 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 -0.026555940740 1.096156026530 9 3 9 7 2310 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025993322654 0.889737937828 4 5 4 3 3120 3201 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432951936049 1.038979019177 5 6 5 12 0132 0321 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.382007132501 0.884778626650 7 11 8 6 0132 2310 2103 0132 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 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769811110466 0.632929745743 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_3_10' : 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_1'], 'c_0101_10' : negation(d['c_0011_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_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' : 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' : d['1'], 's_0_1' : 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_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_3']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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_0011_4'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), '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_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : negation(d['c_0011_11']), '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 25/36*c_1001_4^3 + 13/18*c_1001_4^2 - 49/9*c_1001_4 - 22/3, c_0011_0 - 1, c_0011_10 - 2/3*c_1001_4^3 - 1/3*c_1001_4^2 + 14/3*c_1001_4 + 5, c_0011_11 + 2/3*c_1001_4^3 + 1/3*c_1001_4^2 - 17/3*c_1001_4 - 5, c_0011_12 - 1, c_0011_3 + 1, c_0011_4 + 1/3*c_1001_4^3 - 1/3*c_1001_4^2 - 7/3*c_1001_4 - 1, c_0011_8 - 4/3*c_1001_4^3 - 2/3*c_1001_4^2 + 28/3*c_1001_4 + 8, c_0101_0 + 2/3*c_1001_4^3 + 1/3*c_1001_4^2 - 17/3*c_1001_4 - 5, c_0101_1 + 1, c_0101_3 + 1, c_0101_6 - 1/3*c_1001_4^3 + 1/3*c_1001_4^2 + 7/3*c_1001_4 + 1, c_0101_9 - 2/3*c_1001_4^3 - 1/3*c_1001_4^2 + 14/3*c_1001_4 + 5, c_1001_4^4 + 2*c_1001_4^3 - 7*c_1001_4^2 - 18*c_1001_4 - 9 ], 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 487/18*c_1001_4^3 - 434/9*c_1001_4^2 + 1783/9*c_1001_4 - 3707/36, c_0011_0 - 1, c_0011_10 + 4/3*c_1001_4^3 + 10/3*c_1001_4^2 - 20/3*c_1001_4 - 5/3, c_0011_11 + 2/3*c_1001_4^3 + 5/3*c_1001_4^2 - 13/3*c_1001_4 - 1/3, c_0011_12 - 1, c_0011_3 + 1, c_0011_4 - c_1001_4^3 - 3*c_1001_4^2 + 5*c_1001_4 + 1, c_0011_8 + 4/3*c_1001_4^3 + 10/3*c_1001_4^2 - 20/3*c_1001_4 - 2/3, c_0101_0 + 2/3*c_1001_4^3 + 5/3*c_1001_4^2 - 13/3*c_1001_4 - 1/3, c_0101_1 + 2/3*c_1001_4^3 + 5/3*c_1001_4^2 - 10/3*c_1001_4 - 4/3, c_0101_3 + 2/3*c_1001_4^3 + 5/3*c_1001_4^2 - 10/3*c_1001_4 - 4/3, c_0101_6 + 1/3*c_1001_4^3 + 1/3*c_1001_4^2 - 8/3*c_1001_4 + 1/3, c_0101_9 + 2/3*c_1001_4^3 + 5/3*c_1001_4^2 - 10/3*c_1001_4 + 2/3, c_1001_4^4 + 2*c_1001_4^3 - 7*c_1001_4^2 + 2*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 12.110 Total time: 12.320 seconds, Total memory usage: 64.12MB