Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2101141931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1509 geometric_solution 5.31410213 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.980828017603 1.415634964485 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148205253558 0.748480955610 1 1 3 4 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349615529762 0.385625846682 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 2 6 3201 1023 0132 0132 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 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 -0.018915378176 0.989108850040 5 3 5 4 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.521472144905 0.852764425299 6 6 4 3 1230 3012 0132 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.373117352213 1.402809200353 ==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' : 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' : negation(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_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1208944765036390/255953631701943*c_0101_6*c_1100_2^9 + 14180799484402870/767860895105829*c_0101_6*c_1100_2^8 + 58955473424610104/767860895105829*c_0101_6*c_1100_2^7 - 146482373847031387/255953631701943*c_0101_6*c_1100_2^6 + 27850901892671014/26477961900201*c_0101_6*c_1100_2^5 - 60085184666159011/767860895105829*c_0101_6*c_1100_2^4 - 320243519303606086/255953631701943*c_0101_6*c_1100_2^3 - 276796334004871298/767860895105829*c_0101_6*c_1100_2^2 + 966645503794553405/767860895105829*c_0101_6*c_1100_2 + 14307490424334634/767860895105829*c_0101_6, c_0011_0 - 1, c_0011_1 + 280292956/46698345503*c_1100_2^9 - 939549078/46698345503*c_1100_2^8 - 5174627542/46698345503*c_1100_2^7 + 31426015228/46698345503*c_1100_2^6 - 42608037307/46698345503*c_1100_2^5 - 30010787294/46698345503*c_1100_2^4 + 61969716115/46698345503*c_1100_2^3 + 84276441415/46698345503*c_1100_2^2 - 22982359504/46698345503*c_1100_2 - 46356402811/46698345503, c_0011_3 - 21433862270/980665255563*c_0101_6*c_1100_2^9 + 80078934386/980665255563*c_0101_6*c_1100_2^8 + 118295030243/326888418521*c_0101_6*c_1100_2^7 - 2518718181919/980665255563*c_0101_6*c_1100_2^6 + 4491036005285/980665255563*c_0101_6*c_1100_2^5 - 76550931552/326888418521*c_0101_6*c_1100_2^4 - 5246264694758/980665255563*c_0101_6*c_1100_2^3 - 1345458585070/980665255563*c_0101_6*c_1100_2^2 + 4237710617626/980665255563*c_0101_6*c_1100_2 - 240700335739/326888418521*c_0101_6, c_0011_6 + 331945388/46698345503*c_1100_2^9 - 994288812/46698345503*c_1100_2^8 - 6362110203/46698345503*c_1100_2^7 + 34256227721/46698345503*c_1100_2^6 - 41778431156/46698345503*c_1100_2^5 - 33398478221/46698345503*c_1100_2^4 + 57716282636/46698345503*c_1100_2^3 + 87170327253/46698345503*c_1100_2^2 - 40716002662/46698345503*c_1100_2 - 29727630336/46698345503, c_0101_1 + 16290159379/980665255563*c_0101_6*c_1100_2^9 - 60096170308/980665255563*c_0101_6*c_1100_2^8 - 91375898932/326888418521*c_0101_6*c_1100_2^7 + 1898644024841/980665255563*c_0101_6*c_1100_2^6 - 3272181273292/980665255563*c_0101_6*c_1100_2^5 - 594911813/326888418521*c_0101_6*c_1100_2^4 + 3474006034666/980665255563*c_0101_6*c_1100_2^3 + 2272060205495/980665255563*c_0101_6*c_1100_2^2 - 3766252508339/980665255563*c_0101_6*c_1100_2 + 55078611405/326888418521*c_0101_6, c_0101_6^2 - 432162950/46698345503*c_1100_2^9 + 1300592827/46698345503*c_1100_2^8 + 8697664185/46698345503*c_1100_2^7 - 44238985603/46698345503*c_1100_2^6 + 47287039034/46698345503*c_1100_2^5 + 48933511461/46698345503*c_1100_2^4 - 62126023057/46698345503*c_1100_2^3 - 82038527857/46698345503*c_1100_2^2 + 6870111349/46698345503*c_1100_2 + 1155977836/46698345503, c_1100_2^10 - 4*c_1100_2^9 - 16*c_1100_2^8 + 123*c_1100_2^7 - 232*c_1100_2^6 + 25*c_1100_2^5 + 284*c_1100_2^4 + 53*c_1100_2^3 - 300*c_1100_2^2 + 10*c_1100_2 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB