Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 1814950210] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2584 geometric_solution 5.87991963 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 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 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 1.024792554018 1.285721083016 0 2 3 5 0132 3201 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682964750549 0.410361694813 4 0 1 3 3120 0132 2310 2031 0 0 0 0 0 0 0 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 -1 1 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 0.722025931410 0.289086930296 5 2 1 0 0132 1302 0321 0132 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 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 0.374488057471 0.493727968149 6 5 0 2 0132 3120 0132 3120 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235585407868 0.557029963124 3 4 1 6 0132 3120 0132 1302 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 0 0 0 0.924189774391 0.646404235538 4 6 5 6 0132 2310 2031 3201 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 1 0 -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 0.146487361458 1.026964973781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_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' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_1001_2'], '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_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 87/10*c_1001_2^11 - 31/5*c_1001_2^10 + 573/10*c_1001_2^9 + 33*c_1001_2^8 - 1293/10*c_1001_2^7 - 403/10*c_1001_2^6 + 77*c_1001_2^5 - 218/5*c_1001_2^4 + 971/10*c_1001_2^3 + 354/5*c_1001_2^2 - 533/5*c_1001_2 + 26, c_0011_0 - 1, c_0011_4 + c_1001_2^2 - 1, c_0101_0 + 3*c_1001_2^11 + 3*c_1001_2^10 - 16*c_1001_2^9 - 15*c_1001_2^8 + 26*c_1001_2^7 + 19*c_1001_2^6 - c_1001_2^5 + 10*c_1001_2^4 - 24*c_1001_2^3 - 21*c_1001_2^2 + 6*c_1001_2 + 1, c_0101_1 - c_1001_2^10 - c_1001_2^9 + 5*c_1001_2^8 + 5*c_1001_2^7 - 7*c_1001_2^6 - 6*c_1001_2^5 - 2*c_1001_2^4 - 4*c_1001_2^3 + 8*c_1001_2^2 + 7*c_1001_2 - 1, c_0101_2 + 3*c_1001_2^11 + 2*c_1001_2^10 - 17*c_1001_2^9 - 10*c_1001_2^8 + 30*c_1001_2^7 + 11*c_1001_2^6 - 4*c_1001_2^5 + 11*c_1001_2^4 - 29*c_1001_2^3 - 14*c_1001_2^2 + 10*c_1001_2 - 2, c_0101_6 - c_1001_2^11 + c_1001_2^10 + 7*c_1001_2^9 - 6*c_1001_2^8 - 17*c_1001_2^7 + 12*c_1001_2^6 + 10*c_1001_2^5 - 4*c_1001_2^4 + 16*c_1001_2^3 - 11*c_1001_2^2 - 14*c_1001_2 + 4, c_1001_2^12 + 2*c_1001_2^11 - 5*c_1001_2^10 - 11*c_1001_2^9 + 7*c_1001_2^8 + 18*c_1001_2^7 + c_1001_2^6 - 5*c_1001_2^4 - 18*c_1001_2^3 + 6*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB