Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 4189611286] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0718 geometric_solution 4.67071253 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 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 -1 1 1 0 -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 0.624660431265 0.173568733978 0 3 0 4 0132 0132 1023 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 0 1 -1 -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 0.182467769432 1.634853258518 0 0 2 2 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533561318656 0.070790677260 5 1 4 5 0132 0132 3012 1023 0 0 0 0 0 1 0 -1 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 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 0.458614853069 0.696474211012 6 3 1 6 0132 1230 0132 1023 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 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 0.458614853069 0.696474211012 3 6 6 3 0132 3201 2310 1023 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 -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 1.436259987442 0.534861641172 4 5 5 4 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.436259987442 0.534861641172 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 4639409850/4919*c_0110_2^19 - 38222973755/4919*c_0110_2^18 - 88220403060/4919*c_0110_2^17 + 88387663851/4919*c_0110_2^16 + 584310733763/4919*c_0110_2^15 + 209076853645/4919*c_0110_2^14 - 1579009706374/4919*c_0110_2^13 - 1020064308260/4919*c_0110_2^12 + 2658130345582/4919*c_0110_2^11 + 1507687477872/4919*c_0110_2^10 - 3096103020054/4919*c_0110_2^9 - 849461275568/4919*c_0110_2^8 + 2332600927036/4919*c_0110_2^7 - 135603212383/4919*c_0110_2^6 - 944619858640/4919*c_0110_2^5 + 343012124096/4919*c_0110_2^4 + 113862885797/4919*c_0110_2^3 - 102184441367/4919*c_0110_2^2 + 24838269189/4919*c_0110_2 - 2122198817/4919, c_0011_0 - 1, c_0011_4 + 14064715/4919*c_0110_2^19 + 127659312/4919*c_0110_2^18 + 368722394/4919*c_0110_2^17 - 7905849/4919*c_0110_2^16 - 1903931205/4919*c_0110_2^15 - 2166875794/4919*c_0110_2^14 + 3710107840/4919*c_0110_2^13 + 6728412662/4919*c_0110_2^12 - 4162921596/4919*c_0110_2^11 - 9951541983/4919*c_0110_2^10 + 3611330077/4919*c_0110_2^9 + 8400440220/4919*c_0110_2^8 - 2798847908/4919*c_0110_2^7 - 4007101294/4919*c_0110_2^6 + 1603508657/4919*c_0110_2^5 + 922011067/4919*c_0110_2^4 - 505286187/4919*c_0110_2^3 - 42296184/4919*c_0110_2^2 + 57158291/4919*c_0110_2 - 8148675/4919, c_0101_0 - 5*c_0110_2^19 - 39*c_0110_2^18 - 77*c_0110_2^17 + 137*c_0110_2^16 + 588*c_0110_2^15 - 51*c_0110_2^14 - 1801*c_0110_2^13 - 353*c_0110_2^12 + 3348*c_0110_2^11 + 369*c_0110_2^10 - 4051*c_0110_2^9 + 547*c_0110_2^8 + 2917*c_0110_2^7 - 1248*c_0110_2^6 - 955*c_0110_2^5 + 816*c_0110_2^4 - 39*c_0110_2^3 - 164*c_0110_2^2 + 76*c_0110_2 - 13, c_0101_1 - 107906275/4919*c_0110_2^19 - 890878755/4919*c_0110_2^18 - 2068187348/4919*c_0110_2^17 + 2012177485/4919*c_0110_2^16 + 13604381347/4919*c_0110_2^15 + 5106200642/4919*c_0110_2^14 - 36519323784/4919*c_0110_2^13 - 24263321211/4919*c_0110_2^12 + 61136371235/4919*c_0110_2^11 + 35802502493/4919*c_0110_2^10 - 71012542778/4919*c_0110_2^9 - 20514250234/4919*c_0110_2^8 + 53499711875/4919*c_0110_2^7 - 2582664943/4919*c_0110_2^6 - 21713921177/4919*c_0110_2^5 + 7718071424/4919*c_0110_2^4 + 2646067573/4919*c_0110_2^3 - 2327403328/4919*c_0110_2^2 + 562649826/4919*c_0110_2 - 47966882/4919, c_0101_5 - 37756755/4919*c_0110_2^19 - 304703604/4919*c_0110_2^18 - 662887434/4919*c_0110_2^17 + 863172125/4919*c_0110_2^16 + 4693818844/4919*c_0110_2^15 + 875351216/4919*c_0110_2^14 - 13478887352/4919*c_0110_2^13 - 6399538694/4919*c_0110_2^12 + 23813433445/4919*c_0110_2^11 + 9533026908/4919*c_0110_2^10 - 28382085458/4919*c_0110_2^9 - 3991076101/4919*c_0110_2^8 + 21336080748/4919*c_0110_2^7 - 3323579945/4919*c_0110_2^6 - 8403234628/4919*c_0110_2^5 + 3785788865/4919*c_0110_2^4 + 860580241/4919*c_0110_2^3 - 1012055229/4919*c_0110_2^2 + 268640484/4919*c_0110_2 - 24567067/4919, c_0101_6 - 37756755/4919*c_0110_2^19 - 304703604/4919*c_0110_2^18 - 662887434/4919*c_0110_2^17 + 863172125/4919*c_0110_2^16 + 4693818844/4919*c_0110_2^15 + 875351216/4919*c_0110_2^14 - 13478887352/4919*c_0110_2^13 - 6399538694/4919*c_0110_2^12 + 23813433445/4919*c_0110_2^11 + 9533026908/4919*c_0110_2^10 - 28382085458/4919*c_0110_2^9 - 3991076101/4919*c_0110_2^8 + 21336080748/4919*c_0110_2^7 - 3323579945/4919*c_0110_2^6 - 8403234628/4919*c_0110_2^5 + 3785788865/4919*c_0110_2^4 + 860580241/4919*c_0110_2^3 - 1012055229/4919*c_0110_2^2 + 268640484/4919*c_0110_2 - 24567067/4919, c_0110_2^20 + 39/5*c_0110_2^19 + 77/5*c_0110_2^18 - 137/5*c_0110_2^17 - 588/5*c_0110_2^16 + 51/5*c_0110_2^15 + 1801/5*c_0110_2^14 + 353/5*c_0110_2^13 - 3348/5*c_0110_2^12 - 369/5*c_0110_2^11 + 4051/5*c_0110_2^10 - 547/5*c_0110_2^9 - 2917/5*c_0110_2^8 + 1248/5*c_0110_2^7 + 191*c_0110_2^6 - 816/5*c_0110_2^5 + 39/5*c_0110_2^4 + 164/5*c_0110_2^3 - 15*c_0110_2^2 + 14/5*c_0110_2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB