Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 981181973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s225 geometric_solution 4.37781294 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 1 -1 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 1.924689485959 0.470262168523 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 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 -1 1 0 1 0 -1 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 0.411162552515 0.976752859328 3 1 4 3 2310 0132 0132 3201 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 1 0 -1 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 -0.184368573744 0.644518893033 4 2 2 1 1023 2310 3201 0132 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 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.184368573744 0.644518893033 5 3 5 2 0132 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.606015782075 1.576970587476 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225441566257 0.376963535173 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 38929369281117/6377098005955*c_0101_4^11 - 669935664247221/6377098005955*c_0101_4^10 - 1652580712938482/6377098005955*c_0101_4^9 - 789034511610231/6377098005955*c_0101_4^8 + 333767883340223/6377098005955*c_0101_4^7 + 4891669350304853/6377098005955*c_0101_4^6 - 6102821380202546/6377098005955*c_0101_4^5 - 274201946194963/375123412115*c_0101_4^4 + 864679293063817/375123412115*c_0101_4^3 - 11129262272224546/6377098005955*c_0101_4^2 + 795402542439618/1275419601191*c_0101_4 - 504806519250343/6377098005955, c_0011_0 - 1, c_0011_3 + 997696673898/6377098005955*c_0101_4^11 - 17046775302067/6377098005955*c_0101_4^10 - 8919227869016/1275419601191*c_0101_4^9 - 4651877322703/1275419601191*c_0101_4^8 + 13965952062959/6377098005955*c_0101_4^7 + 135244622055184/6377098005955*c_0101_4^6 - 138878422249182/6377098005955*c_0101_4^5 - 9364618301763/375123412115*c_0101_4^4 + 21217314419003/375123412115*c_0101_4^3 - 42389610470918/1275419601191*c_0101_4^2 + 42501877167457/6377098005955*c_0101_4 - 6488271814938/6377098005955, c_0101_0 + 8090944365486/6377098005955*c_0101_4^11 - 27141434445347/1275419601191*c_0101_4^10 - 80578574746377/1275419601191*c_0101_4^9 - 67293646177820/1275419601191*c_0101_4^8 - 59999282394667/6377098005955*c_0101_4^7 + 204154782409262/1275419601191*c_0101_4^6 - 800519444757689/6377098005955*c_0101_4^5 - 78761083213054/375123412115*c_0101_4^4 + 28750288253352/75024682423*c_0101_4^3 - 237095486747081/1275419601191*c_0101_4^2 + 316055317530249/6377098005955*c_0101_4 - 8254058895611/1275419601191, c_0101_1 - 3332147783163/6377098005955*c_0101_4^11 + 56741505784571/6377098005955*c_0101_4^10 + 30367938988525/1275419601191*c_0101_4^9 + 18524218857409/1275419601191*c_0101_4^8 - 21195857987904/6377098005955*c_0101_4^7 - 435301805835647/6377098005955*c_0101_4^6 + 436385723007127/6377098005955*c_0101_4^5 + 5815631624924/75024682423*c_0101_4^4 - 68694466720864/375123412115*c_0101_4^3 + 141466577231149/1275419601191*c_0101_4^2 - 192296180802527/6377098005955*c_0101_4 + 25699129953919/6377098005955, c_0101_2 + 1198028207743/6377098005955*c_0101_4^11 - 19637336722376/6377098005955*c_0101_4^10 - 13446385793986/1275419601191*c_0101_4^9 - 14801020590335/1275419601191*c_0101_4^8 - 32715311166866/6377098005955*c_0101_4^7 + 142527155549422/6377098005955*c_0101_4^6 - 63722520156832/6377098005955*c_0101_4^5 - 2763590465816/75024682423*c_0101_4^4 + 16397958740654/375123412115*c_0101_4^3 - 11408952911116/1275419601191*c_0101_4^2 - 559131890203/6377098005955*c_0101_4 + 2885304351381/6377098005955, c_0101_4^12 - 17*c_0101_4^11 - 46*c_0101_4^10 - 30*c_0101_4^9 + 3*c_0101_4^8 + 129*c_0101_4^7 - 127*c_0101_4^6 - 145*c_0101_4^5 + 340*c_0101_4^4 - 212*c_0101_4^3 + 69*c_0101_4^2 - 13*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB