Magma V2.19-8 Tue Aug 20 2013 23:38:17 on localhost [Seed = 2117605971] Type ? for help. Type -D to quit. Loading file "K12n575__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n575 geometric_solution 8.50178252 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 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 -1 1 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 -0.114179252251 0.755587565378 0 5 6 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.835437092341 1.274576600309 6 0 5 1 2103 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.415094410914 0.935787781101 7 7 4 0 0132 1230 3012 0132 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 -13 12 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579928546967 1.540126410937 8 3 0 5 0132 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.468004417250 0.559595959865 9 1 2 4 0132 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.840404037099 1.070870254865 8 9 2 1 3120 2103 2103 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 0.591617384492 0.757022807781 3 8 3 9 0132 2103 3012 0132 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 -1 0 1 0 0 0 0 0 0 0 0 13 -1 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785870413492 0.568667697544 4 7 9 6 0132 2103 1230 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.383851030903 0.904761326437 5 6 7 8 0132 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.645343157701 0.239266308009 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_9' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : d['c_0110_2'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_6']), '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'], '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_3'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_1'], '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_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3/14*c_1001_2^3 + 15/7*c_1001_2^2 + 24/7*c_1001_2 + 39/14, c_0011_0 - 1, c_0011_3 + 1/6*c_1001_2^3 - 1/2*c_1001_2 + 1, c_0011_6 - 2/3*c_1001_2^3 + c_1001_2 - 2, c_0101_0 - 1/2*c_1001_2^2 + 1/2, c_0101_1 + 1/2*c_1001_2^3 - 1/2*c_1001_2, c_0101_2 + 1/3*c_1001_2^3 - 1, c_0101_3 + 1/3*c_1001_2^3 - 1/2*c_1001_2^2 + c_1001_2 - 1/2, c_0101_8 - 1/6*c_1001_2^3 + 1/2*c_1001_2, c_0110_2 + 1/6*c_1001_2^3 - 1/2*c_1001_2 - 1, c_1001_2^4 + 3 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 233/4*c_1001_2^3 + 123/4*c_1001_2^2 + 987/4*c_1001_2 + 521/4, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_2^3 + 3/2*c_1001_2 - 1, c_0011_6 - c_1001_2^3 - 4*c_1001_2 + 2, c_0101_0 - 1/2*c_1001_2^2 - 1/2, c_0101_1 - 1/2*c_1001_2^3 - 5/2*c_1001_2, c_0101_2 - c_1001_2 - 1, c_0101_3 - 1/2*c_1001_2^2 + 1/2, c_0101_8 + 1/2*c_1001_2^3 + 3/2*c_1001_2, c_0110_2 + 1/2*c_1001_2^3 + 3/2*c_1001_2 + 1, c_1001_2^4 + 4*c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB