Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3549581297] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s327 geometric_solution 4.50666370 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 3201 3201 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 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 -0.424295551776 0.560447280411 0 0 3 3 0132 2310 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.858675614292 1.134215079019 0 0 4 3 2310 0132 0132 3120 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 -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 0.250708731267 0.894985667857 2 1 1 4 3120 3201 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549964075870 0.656900709082 5 5 3 2 0132 2310 1230 0132 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -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 0.932257901622 1.444852283266 4 5 5 4 0132 1230 3012 3201 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 0 -1 0 1 -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 -0.310105621231 0.301608875647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2388997/927483*c_0101_4^12 - 656131/309161*c_0101_4^11 - 2199628/309161*c_0101_4^10 - 22084505/1854966*c_0101_4^9 + 18873217/1854966*c_0101_4^8 + 50175991/1854966*c_0101_4^7 - 45099269/1854966*c_0101_4^6 - 80841611/927483*c_0101_4^5 - 24395581/1854966*c_0101_4^4 + 130720123/1854966*c_0101_4^3 + 96770363/1854966*c_0101_4^2 - 14487791/1854966*c_0101_4 - 9551831/618322, c_0011_0 - 1, c_0011_3 + 94075/618322*c_0101_4^12 - 28686/309161*c_0101_4^11 - 111983/309161*c_0101_4^10 - 279302/309161*c_0101_4^9 + 216167/618322*c_0101_4^8 + 792193/618322*c_0101_4^7 - 239532/309161*c_0101_4^6 - 1535654/309161*c_0101_4^5 - 743951/309161*c_0101_4^4 + 690326/309161*c_0101_4^3 + 2012395/618322*c_0101_4^2 + 121693/309161*c_0101_4 + 18161/309161, c_0011_4 + 72195/618322*c_0101_4^12 - 83415/618322*c_0101_4^11 - 107809/618322*c_0101_4^10 - 152181/309161*c_0101_4^9 + 194679/618322*c_0101_4^8 + 158577/309161*c_0101_4^7 - 416937/309161*c_0101_4^6 - 1594111/618322*c_0101_4^5 - 119398/309161*c_0101_4^4 - 276185/309161*c_0101_4^3 + 87195/618322*c_0101_4^2 + 615661/618322*c_0101_4 + 443545/618322, c_0101_0 - 97000/309161*c_0101_4^12 + 94075/618322*c_0101_4^11 + 262314/309161*c_0101_4^10 + 567017/309161*c_0101_4^9 - 182302/309161*c_0101_4^8 - 1917833/618322*c_0101_4^7 + 986193/618322*c_0101_4^6 + 3446468/309161*c_0101_4^5 + 1859346/309161*c_0101_4^4 - 1519951/309161*c_0101_4^3 - 2316674/309161*c_0101_4^2 - 703605/618322*c_0101_4 + 412693/309161, c_0101_1 - 1, c_0101_4^13 - 3*c_0101_4^11 - 7*c_0101_4^10 - c_0101_4^9 + 11*c_0101_4^8 - c_0101_4^7 - 38*c_0101_4^6 - 35*c_0101_4^5 + 8*c_0101_4^4 + 31*c_0101_4^3 + 14*c_0101_4^2 - 3*c_0101_4 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB