Magma V2.19-8 Tue Aug 20 2013 23:41:01 on localhost [Seed = 4122186004] Type ? for help. Type -D to quit. Loading file "L12n90__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n90 geometric_solution 9.53978046 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 1 1 1 1 0 0 0 0 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 -12 0 0 12 -1 1 0 0 11 -12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 1.346948601154 0 4 6 5 0132 0132 0132 0132 0 1 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 1 -1 0 12 0 0 -12 -11 11 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 0 0 8 7 3012 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 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 -1 0 -11 12 -12 12 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153051398846 0.709398262695 9 6 5 0 0132 3120 2310 0132 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 0 1 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 0.418796525390 0.693897202308 6 1 8 7 0321 0132 3201 2031 0 1 1 1 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 -1 0 1 0 0 0 0 -1 1 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 9 3 1 7 2103 3201 0132 2103 0 1 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 1 0 -1 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 4 3 8 1 0321 3120 3012 0132 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 0 0 0 0 0 0 -1 0 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 -0.000000000000 1.000000000000 9 4 2 5 1023 1302 0132 2103 1 1 0 1 0 0 0 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 -12 12 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 4 6 9 2 2310 1230 0132 0132 1 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 0 0 0 0 0 0 0 -11 0 0 11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 3 7 5 8 0132 1023 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0110_7'], '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0110_5']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0110_7'], 'c_1010_8' : d['c_0101_2'], '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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0011_5'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0110_5, c_0110_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 412/375*c_0110_7^3 - 31/375*c_0110_7^2 - 209/125*c_0110_7 - 613/375, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 + 2/15*c_0110_7^3 + 8/15*c_0110_7^2 + 2/5*c_0110_7 + 11/15, c_0011_6 + 4/5*c_0110_7^3 - 4/5*c_0110_7^2 + 12/5*c_0110_7 + 2/5, c_0011_8 - 4/3*c_0110_7^3 + 2/3*c_0110_7^2 - 2*c_0110_7 - 1/3, c_0101_0 + 2/3*c_0110_7^3 + 2/3*c_0110_7^2 + 5/3, c_0101_2 - 8/15*c_0110_7^3 - 2/15*c_0110_7^2 - 8/5*c_0110_7 + 1/15, c_0101_3 + 2/3*c_0110_7^3 + 2/3*c_0110_7^2 + c_0110_7 + 5/3, c_0110_5 - 6/5*c_0110_7^3 + 6/5*c_0110_7^2 - 8/5*c_0110_7 - 3/5, c_0110_7^4 + 2*c_0110_7^2 + c_0110_7 + 1/2 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0110_5, c_0110_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/4*c_0110_7^3 + 1/4*c_0110_7^2 + 3/8*c_0110_7 + 1, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 - 2*c_0110_7^3 - 2*c_0110_7^2 - 3*c_0110_7 - 1, c_0011_6 - c_0110_7^3 - 2*c_0110_7^2 - 7/2*c_0110_7 - 3/2, c_0011_8 - c_0110_7^3 - 2*c_0110_7^2 - 3/2*c_0110_7 - 1/2, c_0101_0 + c_0110_7^3 - 1/2*c_0110_7 - 1/2, c_0101_2 - 1, c_0101_3 + c_0110_7^3 + 1/2*c_0110_7 - 1/2, c_0110_5 + c_0110_7^3 - 1/2*c_0110_7 - 1/2, c_0110_7^4 + c_0110_7^3 + 3/2*c_0110_7^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB