Magma V2.19-8 Tue Aug 20 2013 16:14:30 on localhost [Seed = 1427425621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s486 geometric_solution 4.85833041 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 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 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058668314704 1.606025087153 0 2 2 4 0132 2310 1023 3201 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488642315275 0.310912742131 4 0 1 1 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 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 0.543271039660 0.926885743300 5 4 5 0 0132 2310 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 0.188058732821 1.013345402965 2 1 0 3 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058668314704 1.606025087153 3 3 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 0.329777892724 0.155259787072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(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_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], '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' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], '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_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_1']})} 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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 672587869784067/25141615735238*c_0101_3^16 - 7486587078753981/100566462940952*c_0101_3^14 - 310451128232006873/201132925881904*c_0101_3^12 - 4211499160649909669/1609063407055232*c_0101_3^10 - 1914165197567130461/804531703527616*c_0101_3^8 - 1040935436326969545/804531703527616*c_0101_3^6 - 93519760787049891/201132925881904*c_0101_3^4 - 201642281214733437/1609063407055232*c_0101_3^2 - 16495486725395755/804531703527616, c_0011_0 - 1, c_0011_3 - 69343328738120/12570807867619*c_0101_3^17 - 166548623075886/12570807867619*c_0101_3^15 - 3936767549041531/12570807867619*c_0101_3^13 - 42280956702729263/100566462940952*c_0101_3^11 - 16477276514379863/50283231470476*c_0101_3^9 - 1851141654889349/12570807867619*c_0101_3^7 - 1237796646171585/25141615735238*c_0101_3^5 - 1430273899437457/100566462940952*c_0101_3^3 - 138540704600407/50283231470476*c_0101_3, c_0101_0 + 29637934462616/12570807867619*c_0101_3^17 + 81618483496298/12570807867619*c_0101_3^15 + 1710147147994309/12570807867619*c_0101_3^13 + 22866144756428229/100566462940952*c_0101_3^11 + 2696789914028867/12570807867619*c_0101_3^9 + 6617180019987889/50283231470476*c_0101_3^7 + 2565989141674623/50283231470476*c_0101_3^5 + 1347913853042461/100566462940952*c_0101_3^3 + 77826702361643/50283231470476*c_0101_3, c_0101_1 + 21937138273984/12570807867619*c_0101_3^16 + 60425849470512/12570807867619*c_0101_3^14 + 1262509819007120/12570807867619*c_0101_3^12 + 2106204720846081/12570807867619*c_0101_3^10 + 3610284906530621/25141615735238*c_0101_3^8 + 850654676619959/12570807867619*c_0101_3^6 + 454390832993755/25141615735238*c_0101_3^4 + 56605766175061/12570807867619*c_0101_3^2 + 6841651714513/12570807867619, c_0101_2 - 45995220093792/12570807867619*c_0101_3^17 - 142522587538920/12570807867619*c_0101_3^15 - 2685606138687028/12570807867619*c_0101_3^13 - 10643266212174829/25141615735238*c_0101_3^11 - 5031606724182886/12570807867619*c_0101_3^9 - 6164092670649731/25141615735238*c_0101_3^7 - 1243536308352565/12570807867619*c_0101_3^5 - 384868677271941/12570807867619*c_0101_3^3 - 68704770166177/12570807867619*c_0101_3, c_0101_3^18 + 11/4*c_0101_3^16 + 461/8*c_0101_3^14 + 6143/64*c_0101_3^12 + 5555/64*c_0101_3^10 + 371/8*c_0101_3^8 + 533/32*c_0101_3^6 + 279/64*c_0101_3^4 + 47/64*c_0101_3^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB