Magma V2.19-8 Tue Aug 20 2013 23:30:04 on localhost [Seed = 3802432701] Type ? for help. Type -D to quit. Loading file "L11n10__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n10 geometric_solution 8.79334560 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 3 0132 0132 0132 0321 0 1 1 1 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 0 0 0 -1 0 1 0 0 -1 1 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552438308870 0.776245910031 0 4 6 5 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421950371054 0.669430025744 7 0 6 6 0132 0132 3012 3120 0 1 1 1 0 -1 3 -2 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 1 -2 1 0 0 0 0 11 0 0 -11 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552438308870 0.776245910031 7 0 6 0 2031 0321 3120 0132 0 1 1 1 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 -1 1 0 -1 0 0 1 -10 10 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391417387864 0.855135778966 8 1 5 7 0132 0132 0132 1023 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 -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 1.104876617740 1.552491820062 8 8 1 4 3012 3201 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 1 0 -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 0.148192048176 0.911292162005 2 2 3 1 3120 1230 3120 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 2 -3 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 11 -11 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552438308870 0.776245910031 2 8 3 4 0132 0132 1302 1023 1 1 1 1 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 1 -1 0 0 -1 1 1 -1 0 0 -11 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421950371054 0.669430025744 4 7 5 5 0132 0132 2310 1230 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 1 0 -1 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 0.148192048176 0.911292162005 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0101_8'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_6' : negation(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_8' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_6']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 15/2*c_0101_8^2 + 23/2*c_0101_8 + 11/2, c_0011_0 - 1, c_0011_3 + 6*c_0101_8^2 - 2*c_0101_8 - 4, c_0011_5 - 3*c_0101_8^2 + 1, c_0011_6 + 1, c_0101_0 - 6*c_0101_8^2 + 2*c_0101_8 + 3, c_0101_2 + 6*c_0101_8^2 - 2*c_0101_8 - 3, c_0101_3 + 1, c_0101_6 - 1, c_0101_8^3 + 1/3*c_0101_8^2 - 2/3*c_0101_8 - 1/3 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 13/32*c_0101_8^3 + 1/32*c_0101_8^2 - 1/16*c_0101_8 + 23/32, c_0011_0 - 1, c_0011_3 + c_0101_8^3 + c_0101_8^2 + 1, c_0011_5 - c_0101_8^2 - 1, c_0011_6 + 1, c_0101_0 - c_0101_8^3 - c_0101_8^2, c_0101_2 + c_0101_8^3 + c_0101_8^2, c_0101_3 + 1, c_0101_6 + 1, c_0101_8^4 + c_0101_8^2 - c_0101_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB