Magma V2.19-8 Tue Aug 20 2013 23:29:56 on localhost [Seed = 2463429848] Type ? for help. Type -D to quit. Loading file "L10n37__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n37 geometric_solution 8.92931782 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -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 0.705122743849 0.872271625461 0 5 6 4 0132 0132 0132 1230 1 1 1 1 0 0 1 -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 7 -7 0 0 0 0 -1 1 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712439863955 0.609473031797 7 0 6 8 0132 0132 3012 0132 0 1 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 -1 1 0 8 0 0 -8 0 1 0 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705122743849 0.872271625461 8 7 6 0 0321 0132 3120 0132 0 1 1 1 0 0 1 -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 -1 1 1 0 0 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439513968120 0.693348876265 1 8 0 7 3012 0132 0132 0132 0 1 1 1 0 -1 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 0 0 0 0 0 0 0 7 0 1 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347810384780 1.028852254137 8 1 6 7 3012 0132 1302 1023 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705122743849 0.872271625461 5 2 3 1 2031 1230 3120 0132 1 1 1 0 0 0 1 -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 0 7 -7 0 0 0 0 -1 -7 0 8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705122743849 0.872271625461 2 3 4 5 0132 0132 0132 1023 0 1 1 1 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 0 0 0 0 0 0 0 0 -8 0 8 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439513968120 0.693348876265 3 4 2 5 0321 0132 0132 1230 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347810384780 1.028852254137 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 's_2_8' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_0_8' : 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_8' : d['c_0110_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_6']), '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' : d['c_0110_5'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(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' : 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_8' : negation(d['1']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), '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_0011_4'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 11/12*c_0101_6 + 1/12, c_0011_0 - 1, c_0011_4 + 1/3*c_0101_6 - 1/3, c_0011_6 - c_0101_6, c_0101_1 + 2/3*c_0101_6 - 2/3, c_0101_2 - 1/3*c_0101_6 + 1/3, c_0101_3 - 2/3*c_0101_6 - 1/3, c_0101_6^2 + 2, c_0110_5 - 1, c_1001_0 - 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 1/16*c_0101_6^2 + 1/8*c_0101_6 - 3/8, c_0011_0 - 1, c_0011_4 + c_0101_6 + 1, c_0011_6 + c_0101_6, c_0101_1 - c_0101_6^2, c_0101_2 - c_0101_6 - 1, c_0101_3 + 1, c_0101_6^3 - c_0101_6^2 - 2, c_0110_5 - 1, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB