Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 3583265242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s517 geometric_solution 4.91098947 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 0 0 0 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480130528726 0.603150176434 0 3 4 2 0132 0132 0132 2310 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 0 0 0 0 0 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 0.202019382054 0.815120766613 1 4 3 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 0 0 0 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 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 0.202019382054 0.815120766613 2 1 5 5 2310 0132 0132 2310 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 1.072229740859 1.568327597127 4 2 4 1 2310 0132 3201 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 -0.286457359480 1.155816536447 3 5 5 3 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.641652795847 0.338594842828 ==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' : 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' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_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_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_3']), '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_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5323561/2168756*c_0101_3^13 + 1128873/542189*c_0101_3^12 - 5650027/542189*c_0101_3^11 - 23121125/2168756*c_0101_3^10 + 37891079/1084378*c_0101_3^9 + 15871642/542189*c_0101_3^8 - 153563045/2168756*c_0101_3^7 - 16806060/542189*c_0101_3^6 + 155032843/2168756*c_0101_3^5 + 77260621/2168756*c_0101_3^4 - 28879739/1084378*c_0101_3^3 - 90782869/2168756*c_0101_3^2 + 2064653/2168756*c_0101_3 - 484431/2168756, c_0011_0 - 1, c_0011_2 - 333821/1084378*c_0101_3^13 - 213207/1084378*c_0101_3^12 + 1291227/1084378*c_0101_3^11 + 594268/542189*c_0101_3^10 - 2133763/542189*c_0101_3^9 - 1422455/542189*c_0101_3^8 + 7541579/1084378*c_0101_3^7 + 2244483/1084378*c_0101_3^6 - 2751238/542189*c_0101_3^5 - 3969875/1084378*c_0101_3^4 + 746601/1084378*c_0101_3^3 + 1901041/542189*c_0101_3^2 + 801457/1084378*c_0101_3 + 607627/542189, c_0011_5 + 131121/2168756*c_0101_3^13 + 9859/1084378*c_0101_3^12 - 122419/1084378*c_0101_3^11 - 183771/2168756*c_0101_3^10 + 425641/1084378*c_0101_3^9 - 92590/542189*c_0101_3^8 + 52283/2168756*c_0101_3^7 + 556613/1084378*c_0101_3^6 - 2363679/2168756*c_0101_3^5 + 674965/2168756*c_0101_3^4 + 328849/542189*c_0101_3^3 + 2079077/2168756*c_0101_3^2 - 1184359/2168756*c_0101_3 - 1569221/2168756, c_0101_0 + 149634/542189*c_0101_3^13 + 356905/1084378*c_0101_3^12 - 1111125/1084378*c_0101_3^11 - 1703101/1084378*c_0101_3^10 + 1771156/542189*c_0101_3^9 + 2356621/542189*c_0101_3^8 - 3292164/542189*c_0101_3^7 - 6117137/1084378*c_0101_3^6 + 6223973/1084378*c_0101_3^5 + 3290778/542189*c_0101_3^4 - 789293/1084378*c_0101_3^3 - 5391855/1084378*c_0101_3^2 - 1056127/542189*c_0101_3 - 178485/1084378, c_0101_1 - 503979/2168756*c_0101_3^13 - 148971/542189*c_0101_3^12 + 444335/542189*c_0101_3^11 + 3093555/2168756*c_0101_3^10 - 2787987/1084378*c_0101_3^9 - 2176853/542189*c_0101_3^8 + 9164287/2168756*c_0101_3^7 + 3298058/542189*c_0101_3^6 - 7172553/2168756*c_0101_3^5 - 15586251/2168756*c_0101_3^4 + 272049/1084378*c_0101_3^3 + 9456995/2168756*c_0101_3^2 + 5639901/2168756*c_0101_3 + 1116517/2168756, c_0101_3^14 + c_0101_3^13 - 4*c_0101_3^12 - 5*c_0101_3^11 + 13*c_0101_3^10 + 14*c_0101_3^9 - 25*c_0101_3^8 - 17*c_0101_3^7 + 23*c_0101_3^6 + 20*c_0101_3^5 - 5*c_0101_3^4 - 19*c_0101_3^3 - 4*c_0101_3^2 - 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB