Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1191631706] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s689 geometric_solution 5.18817180 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.156240538308 0.843446535688 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.881956742344 1.282714477148 1 3 0 4 1230 2310 0132 2310 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 -1 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 0.881956742344 1.282714477148 1 3 3 2 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 -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 0.590992348555 0.480977875346 2 5 5 1 3201 0132 3201 0132 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 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 0.233894782696 0.349423354203 4 4 5 5 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.477534646499 2.284944033468 ==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' : 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' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 396833565325/36005492457*c_0101_5^11 - 63820308101/3273226587*c_0101_5^10 + 1533321307036/12001830819*c_0101_5^9 + 264308523554/36005492457*c_0101_5^8 + 1662299095343/36005492457*c_0101_5^7 + 2700585106433/36005492457*c_0101_5^6 + 2086322283775/12001830819*c_0101_5^5 + 6399694367923/12001830819*c_0101_5^4 - 8171340654452/36005492457*c_0101_5^3 - 1197057181491/4000610273*c_0101_5^2 + 4634436716050/36005492457*c_0101_5 + 2019904496312/36005492457, c_0011_0 - 1, c_0011_1 + 20851082/1091075529*c_0101_5^11 - 19782446/1091075529*c_0101_5^10 + 60327853/363691843*c_0101_5^9 + 267029752/1091075529*c_0101_5^8 - 299998085/1091075529*c_0101_5^7 + 277741741/1091075529*c_0101_5^6 - 72398696/363691843*c_0101_5^5 + 362310567/363691843*c_0101_5^4 - 628923772/1091075529*c_0101_5^3 - 845316026/363691843*c_0101_5^2 + 209407982/1091075529*c_0101_5 - 354435392/1091075529, c_0011_4 + 105649735/1091075529*c_0101_5^11 - 176625605/1091075529*c_0101_5^10 + 1220987480/1091075529*c_0101_5^9 + 73841202/363691843*c_0101_5^8 + 509953505/1091075529*c_0101_5^7 + 489454655/363691843*c_0101_5^6 + 572973887/363691843*c_0101_5^5 + 1952214536/363691843*c_0101_5^4 - 1250926112/1091075529*c_0101_5^3 - 1333023190/1091075529*c_0101_5^2 + 2886692384/1091075529*c_0101_5 - 1936972/363691843, c_0101_0 - 447471778/1091075529*c_0101_5^11 + 290212076/363691843*c_0101_5^10 - 5408331775/1091075529*c_0101_5^9 + 777294704/1091075529*c_0101_5^8 - 2806910129/1091075529*c_0101_5^7 - 2551244803/1091075529*c_0101_5^6 - 2345223725/363691843*c_0101_5^5 - 6901214948/363691843*c_0101_5^4 + 11979447788/1091075529*c_0101_5^3 + 6461382632/1091075529*c_0101_5^2 - 1675121975/363691843*c_0101_5 - 53335738/1091075529, c_0101_1 - 141856258/363691843*c_0101_5^11 + 743702161/1091075529*c_0101_5^10 - 5009838068/1091075529*c_0101_5^9 - 241034698/1091075529*c_0101_5^8 - 959992871/363691843*c_0101_5^7 - 3123701836/1091075529*c_0101_5^6 - 2547922486/363691843*c_0101_5^5 - 7208039712/363691843*c_0101_5^4 + 2187985856/363691843*c_0101_5^3 + 6731074423/1091075529*c_0101_5^2 - 3703725334/1091075529*c_0101_5 - 51066433/1091075529, c_0101_5^12 - 2*c_0101_5^11 + 12*c_0101_5^10 - 2*c_0101_5^9 + 4*c_0101_5^8 + 6*c_0101_5^7 + 14*c_0101_5^6 + 45*c_0101_5^5 - 32*c_0101_5^4 - 22*c_0101_5^3 + 18*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB