Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 1174919782] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s263 geometric_solution 4.42637588 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 0321 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 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 0.861479147653 0.809748641029 0 0 2 3 0132 0321 3120 1302 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 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 0.383706539473 0.579285979814 2 0 1 2 3012 0132 3120 1230 0 0 0 0 0 0 -1 1 -1 0 0 1 -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 -1 1 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 0.724990102589 1.094580507927 4 4 1 0 0132 3201 2031 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 0.234346483804 0.510419929318 3 5 3 5 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.156730520472 2.419732005950 5 4 5 4 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329953489031 0.073170285919 ==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_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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_1001_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_1001_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_2, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 174182209/4914779*c_1001_1^15 - 13582646/4914779*c_1001_1^14 - 310959461/4914779*c_1001_1^13 - 234054925/4914779*c_1001_1^12 + 1831765088/4914779*c_1001_1^11 + 4965199104/4914779*c_1001_1^10 + 568470182/4914779*c_1001_1^9 - 8538004432/4914779*c_1001_1^8 - 5303205942/4914779*c_1001_1^7 + 584453539/4914779*c_1001_1^6 + 6405208913/4914779*c_1001_1^5 + 4764962828/4914779*c_1001_1^4 - 3921263629/4914779*c_1001_1^3 - 1325710280/4914779*c_1001_1^2 + 490517193/4914779*c_1001_1 + 128815092/4914779, c_0011_0 - 1, c_0011_3 - 23156109/4914779*c_1001_1^15 - 16629163/4914779*c_1001_1^14 - 42944347/4914779*c_1001_1^13 - 57894088/4914779*c_1001_1^12 + 223104661/4914779*c_1001_1^11 + 816286803/4914779*c_1001_1^10 + 504222158/4914779*c_1001_1^9 - 1066028318/4914779*c_1001_1^8 - 1420750010/4914779*c_1001_1^7 - 411548889/4914779*c_1001_1^6 + 827495649/4914779*c_1001_1^5 + 1140840800/4914779*c_1001_1^4 - 82927819/4914779*c_1001_1^3 - 445044176/4914779*c_1001_1^2 - 14066282/4914779*c_1001_1 + 43596407/4914779, c_0101_0 + 1651306/4914779*c_1001_1^15 + 773454/4914779*c_1001_1^14 + 1585049/4914779*c_1001_1^13 + 2479718/4914779*c_1001_1^12 - 19782510/4914779*c_1001_1^11 - 57836486/4914779*c_1001_1^10 - 12241478/4914779*c_1001_1^9 + 124620710/4914779*c_1001_1^8 + 112252821/4914779*c_1001_1^7 - 28883926/4914779*c_1001_1^6 - 117270194/4914779*c_1001_1^5 - 88825206/4914779*c_1001_1^4 + 48568032/4914779*c_1001_1^3 + 66057961/4914779*c_1001_1^2 - 11637935/4914779*c_1001_1 - 15453230/4914779, c_0101_2 + 877852/4914779*c_1001_1^15 + 1717563/4914779*c_1001_1^14 + 2474200/4914779*c_1001_1^13 + 4920756/4914779*c_1001_1^12 - 4913142/4914779*c_1001_1^11 - 38949008/4914779*c_1001_1^10 - 55265858/4914779*c_1001_1^9 + 11595129/4914779*c_1001_1^8 + 80074412/4914779*c_1001_1^7 + 57823178/4914779*c_1001_1^6 - 11904460/4914779*c_1001_1^5 - 60127174/4914779*c_1001_1^4 - 24775311/4914779*c_1001_1^3 + 23197077/4914779*c_1001_1^2 + 15414091/4914779*c_1001_1 - 1651306/4914779, c_0110_5 - 18512114/4914779*c_1001_1^15 - 4435246/4914779*c_1001_1^14 - 25245283/4914779*c_1001_1^13 - 25901955/4914779*c_1001_1^12 + 209041868/4914779*c_1001_1^11 + 579462197/4914779*c_1001_1^10 + 76120214/4914779*c_1001_1^9 - 1153605968/4914779*c_1001_1^8 - 868902766/4914779*c_1001_1^7 + 228094505/4914779*c_1001_1^6 + 1007803621/4914779*c_1001_1^5 + 776069072/4914779*c_1001_1^4 - 485107553/4914779*c_1001_1^3 - 443887088/4914779*c_1001_1^2 + 78078671/4914779*c_1001_1 + 61566727/4914779, c_1001_1^16 + c_1001_1^15 + 2*c_1001_1^14 + 3*c_1001_1^13 - 9*c_1001_1^12 - 38*c_1001_1^11 - 31*c_1001_1^10 + 42*c_1001_1^9 + 75*c_1001_1^8 + 31*c_1001_1^7 - 36*c_1001_1^6 - 61*c_1001_1^5 - 7*c_1001_1^4 + 25*c_1001_1^3 + 7*c_1001_1^2 - 3*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB