Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 2261195436] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0061 geometric_solution 3.61993662 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 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 -1 1 0 -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 -4.926124841553 1.608271693847 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 2 0 -2 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 0.294554788365 0.125995190057 2 0 2 0 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286755809318 0.027161604134 1 4 1 5 2310 0132 0132 0132 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 0 0 0 -1 0 0 1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491509595582 0.636673197507 5 3 6 6 3201 0132 3201 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.965963540136 1.972764771757 6 6 3 4 1023 2310 0132 2310 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 1 0 -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 -0.965963540136 1.972764771757 4 5 4 5 2310 1023 0132 3201 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 -1 0 1 1 0 0 -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 0.200204410828 0.408872791178 ==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' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0110_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 275063/32504*c_0110_2^18 + 610749/32504*c_0110_2^17 - 4092127/32504*c_0110_2^16 - 9144211/32504*c_0110_2^15 + 25042719/32504*c_0110_2^14 + 55805647/32504*c_0110_2^13 - 82434609/32504*c_0110_2^12 - 178935261/32504*c_0110_2^11 + 20287238/4063*c_0110_2^10 + 162444701/16252*c_0110_2^9 - 102037371/16252*c_0110_2^8 - 168578955/16252*c_0110_2^7 + 42136235/8126*c_0110_2^6 + 192206775/32504*c_0110_2^5 - 83464571/32504*c_0110_2^4 - 756559/478*c_0110_2^3 + 19221005/32504*c_0110_2^2 + 4343981/32504*c_0110_2 - 680995/32504, c_0011_0 - 1, c_0011_3 - c_0110_2^6 + 5*c_0110_2^4 - 6*c_0110_2^2 + 1, c_0011_5 + c_0110_2^18 + c_0110_2^17 - 16*c_0110_2^16 - 15*c_0110_2^15 + 106*c_0110_2^14 + 92*c_0110_2^13 - 376*c_0110_2^12 - 297*c_0110_2^11 + 771*c_0110_2^10 + 541*c_0110_2^9 - 920*c_0110_2^8 - 553*c_0110_2^7 + 610*c_0110_2^6 + 297*c_0110_2^5 - 199*c_0110_2^4 - 73*c_0110_2^3 + 23*c_0110_2^2 + 7*c_0110_2 + 1, c_0101_0 - c_0110_2^3 + 2*c_0110_2, c_0101_1 - c_0110_2^2 + 1, c_0101_4 - c_0110_2^9 + 8*c_0110_2^7 - 21*c_0110_2^5 + 20*c_0110_2^3 - 5*c_0110_2, c_0110_2^19 + 2*c_0110_2^18 - 16*c_0110_2^17 - 32*c_0110_2^16 + 106*c_0110_2^15 + 212*c_0110_2^14 - 376*c_0110_2^13 - 752*c_0110_2^12 + 771*c_0110_2^11 + 1542*c_0110_2^10 - 920*c_0110_2^9 - 1840*c_0110_2^8 + 610*c_0110_2^7 + 1221*c_0110_2^6 - 198*c_0110_2^5 - 403*c_0110_2^4 + 19*c_0110_2^3 + 52*c_0110_2^2 + 4*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB