Magma V2.19-8 Tue Aug 20 2013 18:00:00 on localhost [Seed = 2480023382] Type ? for help. Type -D to quit. Loading file "10^3_34__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_34 geometric_solution 12.97693797 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 0 2 1 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 1 0 -1 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894448724536 2.345791362613 0 4 6 5 0132 1023 0132 0132 0 0 1 2 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 -1 2 -1 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 0.151387818866 0.529015468612 3 0 8 7 1023 0132 0132 0132 0 0 1 2 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555310898114 0.831642835859 4 2 9 0 1023 1023 0132 0132 0 0 1 2 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 1 0 -2 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 0.213971154718 0.506943766783 1 3 0 5 1023 1023 0132 1230 0 0 1 2 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 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 -0.079330128302 1.313173514015 4 10 1 9 3012 0132 0132 3012 0 0 0 1 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 1 -1 0 0 0 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708816332075 0.717081089657 11 10 12 1 0132 3012 0132 0132 0 0 2 1 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 2 0 -2 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 -0.000000000000 1.517489913552 11 13 2 8 3012 0132 0132 1302 0 0 0 1 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 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 -0.151387818866 0.988474444940 13 9 7 2 2310 1023 2031 0132 0 0 2 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 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737990384906 0.674811226778 8 12 5 3 1023 1230 1230 0132 0 0 2 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 0 0 -2 2 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319522430182 0.641703674035 6 5 11 12 1230 0132 0321 0321 0 2 1 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.582406467239 6 13 10 7 0132 0321 0321 1230 0 0 1 2 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 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 0.348612181134 0.559220969810 13 10 9 6 0321 0321 3012 0132 0 0 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197224362268 0.888712451457 12 7 8 11 0321 0132 3201 0321 0 2 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 0 0 0 0 0 -1 1 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 0.383795939622 0.988474444940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_13' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(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_0101_1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_8'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_9']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_5'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_8']), 'c_1100_13' : negation(d['c_0011_8']), 's_0_11' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_9']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_3'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_9']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_13']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], '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_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_12'], '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_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_0101_9, c_0110_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4712/3519*c_1001_9^3 + 27233/3519*c_1001_9^2 + 16627/3519*c_1001_9 + 2263/3519, c_0011_0 - 1, c_0011_10 + c_1001_9 + 1, c_0011_11 - 2/3*c_1001_9^3 - 13/3*c_1001_9^2 - 14/3*c_1001_9 - 4/3, c_0011_13 + 1/3*c_1001_9^3 + 8/3*c_1001_9^2 + 13/3*c_1001_9 + 5/3, c_0011_8 + 4/3*c_1001_9^3 + 26/3*c_1001_9^2 + 31/3*c_1001_9 + 14/3, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 1/3*c_1001_9^3 - 8/3*c_1001_9^2 - 19/3*c_1001_9 - 14/3, c_0101_3 - 5/3*c_1001_9^3 - 34/3*c_1001_9^2 - 50/3*c_1001_9 - 31/3, c_0101_7 - 1/3*c_1001_9^3 - 5/3*c_1001_9^2 - 4/3*c_1001_9 - 2/3, c_0101_8 - c_1001_9^3 - 6*c_1001_9^2 - 7*c_1001_9 - 3, c_0101_9 - 5/3*c_1001_9^3 - 34/3*c_1001_9^2 - 50/3*c_1001_9 - 25/3, c_0110_5 + 4/3*c_1001_9^3 + 29/3*c_1001_9^2 + 46/3*c_1001_9 + 29/3, c_1001_9^4 + 7*c_1001_9^3 + 11*c_1001_9^2 + 7*c_1001_9 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_0101_9, c_0110_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 6/7*c_0110_5*c_1001_9 + 5/7*c_0110_5 - 34/21*c_1001_9 + 19/21, c_0011_0 - 1, c_0011_10 + c_1001_9 + 1, c_0011_11 + c_0110_5*c_1001_9 + c_0110_5 + c_1001_9, c_0011_13 - c_0110_5, c_0011_8 - c_0110_5*c_1001_9 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 + c_0110_5 + c_1001_9, c_0101_3 - c_0110_5*c_1001_9 - c_1001_9, c_0101_7 - c_0110_5*c_1001_9 - c_0110_5 - c_1001_9, c_0101_8 + c_0110_5*c_1001_9 + 2*c_0110_5 + c_1001_9, c_0101_9 + c_0110_5*c_1001_9 + c_0110_5 + 1, c_0110_5^2 + c_0110_5*c_1001_9 + 2*c_0110_5 + 2*c_1001_9 + 1, c_1001_9^2 + c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB