Magma V2.19-8 Tue Aug 20 2013 23:41:51 on localhost [Seed = 3717970272] Type ? for help. Type -D to quit. Loading file "L12n310__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n310 geometric_solution 9.66534642 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 0 0 1 1 0 1 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 0 0 0 0 -1 1 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 0.223937370015 0.496824246181 0 4 2 0 0132 0132 2103 2031 1 0 1 1 0 -1 0 1 1 0 0 -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 1 -1 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 0.913974491966 0.585113456640 1 3 5 0 2103 0132 0132 0132 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 0 0 0 -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 -0.015914142180 0.849981088016 5 2 0 6 0132 0132 0132 0132 0 0 1 1 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 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 1.581177358303 1.419453819881 7 1 8 6 0132 0132 0132 3120 1 0 1 1 0 1 -1 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 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 0.854534087089 0.853204146677 3 6 9 2 0132 0132 0132 0132 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 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 1.003052806691 1.013032789049 4 5 3 10 3120 0132 0132 0132 0 0 1 1 0 0 1 -1 1 0 -1 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 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 0.501044946343 0.359602959157 4 8 10 9 0132 3120 2103 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122978562788 0.836454368132 10 7 9 4 1023 3120 2103 0132 1 0 1 1 0 0 -1 1 1 0 0 -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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122978562788 0.836454368132 8 7 10 5 2103 1302 0132 0132 0 0 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 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 0.597091500482 0.569472731865 7 8 6 9 2103 1023 0132 0132 0 0 1 1 0 -1 1 0 0 0 0 0 1 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122978562788 0.836454368132 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : negation(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_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0011_0'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_10']})} 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_2, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 17/924*c_1100_0^3 + 1/264*c_1100_0^2 + 79/1848*c_1100_0 + 79/1848, c_0011_0 - 1, c_0011_10 - 1/2*c_1100_0^3 + c_1100_0^2 - 5/2*c_1100_0 + 5/2, c_0011_2 - c_1100_0, c_0101_0 - 1, c_0101_1 - c_1100_0 + 1, c_0101_10 - c_1100_0^3 + 3*c_1100_0^2 - 4*c_1100_0 + 5, c_0101_4 + c_1100_0^3 - 2*c_1100_0^2 + 3*c_1100_0 - 3, c_0101_5 + c_1100_0^3 - c_1100_0^2 + 2*c_1100_0 - 1, c_0101_8 - c_1100_0^3 + 2*c_1100_0^2 - 3*c_1100_0 + 3, c_1001_2 + c_1100_0^2 - c_1100_0 + 1, c_1100_0^4 - 2*c_1100_0^3 + 5*c_1100_0^2 - 5*c_1100_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB