Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2101141933] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1410 geometric_solution 5.25036536 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 1 -2 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 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 1.309002085417 0.087405929246 2 0 0 2 0132 0132 1023 1023 0 0 0 0 0 -1 0 1 0 0 2 -2 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 0 -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 1.571548148181 0.368484297716 1 3 4 1 0132 0132 0132 1023 0 0 0 0 0 -1 -1 2 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 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 -0.051465364072 0.653160805058 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 1 0 0 -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 0.264402374763 0.670493487663 6 3 3 2 0132 1302 3201 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.264402374763 0.670493487663 6 6 6 3 3120 1230 2310 0132 0 0 0 1 0 0 -1 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742528847451 0.676811261398 4 5 5 5 0132 3201 3012 3120 1 0 0 0 0 0 1 -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 -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 0.742528847451 0.676811261398 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_3'], '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_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 411*c_0101_3^8 + 1063*c_0101_3^7 - 6606*c_0101_3^6 - 4669*c_0101_3^5 + 13871*c_0101_3^4 + 8661*c_0101_3^3 - 6500*c_0101_3^2 - 5546*c_0101_3 - 977, c_0011_0 - 1, c_0011_4 + 64*c_0101_3^8 + 160*c_0101_3^7 - 1040*c_0101_3^6 - 632*c_0101_3^5 + 2172*c_0101_3^4 + 1154*c_0101_3^3 - 1025*c_0101_3^2 - 768*c_0101_3 - 128, c_0011_5 - 1, c_0101_0 - 127*c_0101_3^8 - 325*c_0101_3^7 + 2048*c_0101_3^6 + 1382*c_0101_3^5 - 4288*c_0101_3^4 - 2549*c_0101_3^3 + 2006*c_0101_3^2 + 1649*c_0101_3 + 290, c_0101_1 - 58*c_0101_3^8 - 143*c_0101_3^7 + 947*c_0101_3^6 + 539*c_0101_3^5 - 1980*c_0101_3^4 - 973*c_0101_3^3 + 948*c_0101_3^2 + 655*c_0101_3 + 101, c_0101_2 - 64*c_0101_3^8 - 160*c_0101_3^7 + 1040*c_0101_3^6 + 632*c_0101_3^5 - 2172*c_0101_3^4 - 1154*c_0101_3^3 + 1025*c_0101_3^2 + 767*c_0101_3 + 128, c_0101_3^9 + 3*c_0101_3^8 - 15*c_0101_3^7 - 18*c_0101_3^6 + 29*c_0101_3^5 + 35*c_0101_3^4 - 7*c_0101_3^3 - 20*c_0101_3^2 - 8*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB