Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 3970789976] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m113 geometric_solution 3.55387966 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 3201 1302 0 0 0 0 0 -1 0 1 0 0 0 0 -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 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 0.963686948551 0.987685691099 0 2 3 3 0132 1302 2310 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 1 -1 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 0.052650872715 0.535016124382 0 0 0 1 2310 0132 2031 2031 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 -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 0.493919192136 0.518683762625 4 1 1 4 0132 3201 0132 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 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 -0.395464554758 0.531492390332 3 4 4 3 0132 3201 2310 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 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 2.019808816373 0.398415194147 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : 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_4' : negation(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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, 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 + 54381544805/6652135983*c_0101_4^12 + 208643537257/6652135983*c_0101_4^11 - 687150255650/6652135983*c_0101_4^10 - 1412379622585/6652135983*c_0101_4^9 + 1202927234043/2217378661*c_0101_4^8 - 3945516101227/6652135983*c_0101_4^7 + 675137915782/2217378661*c_0101_4^6 - 1728478718089/6652135983*c_0101_4^5 + 3258350751847/6652135983*c_0101_4^4 - 2315178758882/6652135983*c_0101_4^3 - 139230868331/6652135983*c_0101_4^2 + 998890045300/6652135983*c_0101_4 - 358569170296/6652135983, c_0011_0 - 1, c_0011_3 - 650091771/2217378661*c_0101_4^12 - 3191263758/2217378661*c_0101_4^11 + 4966817593/2217378661*c_0101_4^10 + 22961661987/2217378661*c_0101_4^9 - 20253033779/2217378661*c_0101_4^8 + 20651274229/2217378661*c_0101_4^7 + 6352837665/2217378661*c_0101_4^6 + 14678056759/2217378661*c_0101_4^5 - 19490312541/2217378661*c_0101_4^4 + 206676369/2217378661*c_0101_4^3 + 11135999687/2217378661*c_0101_4^2 - 6648721046/2217378661*c_0101_4 - 1874997326/2217378661, c_0101_0 - 494302530/2217378661*c_0101_4^12 - 2219791224/2217378661*c_0101_4^11 + 4866603754/2217378661*c_0101_4^10 + 16340182525/2217378661*c_0101_4^9 - 22785028245/2217378661*c_0101_4^8 + 18965363418/2217378661*c_0101_4^7 - 3212892620/2217378661*c_0101_4^6 + 8103126750/2217378661*c_0101_4^5 - 19584722376/2217378661*c_0101_4^4 + 3306665209/2217378661*c_0101_4^3 + 6693585870/2217378661*c_0101_4^2 - 7606717834/2217378661*c_0101_4 - 289070880/2217378661, c_0101_1 + 1262219416/2217378661*c_0101_4^12 + 5632872242/2217378661*c_0101_4^11 - 12567190428/2217378661*c_0101_4^10 - 41336240744/2217378661*c_0101_4^9 + 59100182116/2217378661*c_0101_4^8 - 49603795238/2217378661*c_0101_4^7 + 10698006453/2217378661*c_0101_4^6 - 28451779242/2217378661*c_0101_4^5 + 58545934993/2217378661*c_0101_4^4 - 14072236839/2217378661*c_0101_4^3 - 18860301781/2217378661*c_0101_4^2 + 13612357209/2217378661*c_0101_4 + 816431906/2217378661, c_0101_4^13 + 4*c_0101_4^12 - 12*c_0101_4^11 - 28*c_0101_4^10 + 62*c_0101_4^9 - 62*c_0101_4^8 + 26*c_0101_4^7 - 26*c_0101_4^6 + 55*c_0101_4^5 - 33*c_0101_4^4 - 9*c_0101_4^3 + 18*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB