Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 2749513427] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2879 geometric_solution 6.09209952 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 -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 0.780576140852 0.508839428028 3 0 5 4 0132 0132 0132 0132 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 1 -1 0 -1 0 1 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 0.293518225790 0.741850196373 4 5 0 3 3201 3201 0132 0132 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 -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 0.293518225790 0.741850196373 1 3 2 3 0132 2310 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 0 -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 0.706213888189 0.709936636563 4 4 1 2 1302 2031 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 -0.014481269460 0.723062147301 6 6 2 1 0132 3201 2310 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 -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 -1.454355340440 1.613763196630 5 6 5 6 0132 1302 2310 2031 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 -1 0 1 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 -0.083630918186 0.779383211712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 111492217551200/21116372817309*c_0101_5^9 - 49812905693704/3016624688187*c_0101_5^8 - 396451226751674/21116372817309*c_0101_5^7 - 305315247349503/7038790939103*c_0101_5^6 - 94544139742732/3016624688187*c_0101_5^5 + 625138106023/46821225759*c_0101_5^4 + 763946914081474/21116372817309*c_0101_5^3 + 223237967836221/7038790939103*c_0101_5^2 + 334146665215031/21116372817309*c_0101_5 + 170474522705824/21116372817309, c_0011_0 - 1, c_0011_2 + 3453363296/386952279*c_0101_1*c_0101_5^9 + 1756926664/55278897*c_0101_1*c_0101_5^8 + 16864951514/386952279*c_0101_1*c_0101_5^7 + 11362483499/128984093*c_0101_1*c_0101_5^6 + 5106253249/55278897*c_0101_1*c_0101_5^5 + 6065624132/386952279*c_0101_1*c_0101_5^4 - 15057183388/386952279*c_0101_1*c_0101_5^3 - 3898247270/128984093*c_0101_1*c_0101_5^2 - 2090583833/386952279*c_0101_1*c_0101_5 - 48967510/386952279*c_0101_1, c_0011_4 - 2891725936/386952279*c_0101_1*c_0101_5^9 - 1378075628/55278897*c_0101_1*c_0101_5^8 - 11616513511/386952279*c_0101_1*c_0101_5^7 - 8303600559/128984093*c_0101_1*c_0101_5^6 - 3302986325/55278897*c_0101_1*c_0101_5^5 + 3019626761/386952279*c_0101_1*c_0101_5^4 + 14177355107/386952279*c_0101_1*c_0101_5^3 + 2283868317/128984093*c_0101_1*c_0101_5^2 - 1076709467/386952279*c_0101_1*c_0101_5 - 126793942/386952279*c_0101_1, c_0011_5 + 47764112/386952279*c_0101_1*c_0101_5^9 - 18623612/55278897*c_0101_1*c_0101_5^8 - 384026107/386952279*c_0101_1*c_0101_5^7 + 109292352/128984093*c_0101_1*c_0101_5^6 - 150852560/55278897*c_0101_1*c_0101_5^5 + 625931087/386952279*c_0101_1*c_0101_5^4 + 1659260873/386952279*c_0101_1*c_0101_5^3 + 299331314/128984093*c_0101_1*c_0101_5^2 - 618642230/386952279*c_0101_1*c_0101_5 - 338578330/386952279*c_0101_1, c_0101_1^2 + 801702232/386952279*c_0101_5^9 + 354809006/55278897*c_0101_5^8 + 6358550867/773904558*c_0101_5^7 + 5208583157/257968186*c_0101_5^6 + 1818798505/110557794*c_0101_5^5 + 4119869759/773904558*c_0101_5^4 - 1184149370/386952279*c_0101_5^3 - 1586000309/257968186*c_0101_5^2 - 2581052603/773904558*c_0101_5 - 975722005/773904558, c_0101_2 - 3423248/587181*c_0101_5^9 - 1540612/83883*c_0101_5^8 - 12930053/587181*c_0101_5^7 - 10104898/195727*c_0101_5^6 - 3567784/83883*c_0101_5^5 - 1129256/587181*c_0101_5^4 + 12128008/587181*c_0101_5^3 + 2262577/195727*c_0101_5^2 + 1334435/587181*c_0101_5 + 348559/587181, c_0101_5^10 + 15/4*c_0101_5^9 + 93/16*c_0101_5^8 + 23/2*c_0101_5^7 + 103/8*c_0101_5^6 + 45/8*c_0101_5^5 - 49/16*c_0101_5^4 - 77/16*c_0101_5^3 - 17/8*c_0101_5^2 - 3/8*c_0101_5 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB