Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 2665415579] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3335 geometric_solution 6.47226750 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 1 0 -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 0.447783191473 1.374448433297 0 2 6 5 0132 3201 0132 0132 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 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 0.093842818984 0.900976953204 3 0 1 3 0213 0132 2310 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.360601283461 1.136689955255 2 4 2 0 0213 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.046306289254 1.599421447565 5 6 0 3 0132 2103 0132 2031 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 -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 0.785710531319 0.657750960977 4 6 1 6 0132 3012 0132 1302 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535073179094 0.831152953018 5 4 5 1 1230 2103 2031 0132 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 0 0 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910554392821 2.500243504727 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_6']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 12702267/25628*c_1001_0^13 - 48275589/12814*c_1001_0^12 + 367765237/25628*c_1001_0^11 - 93080375/25628*c_1001_0^10 - 180450349/12814*c_1001_0^9 + 875634529/25628*c_1001_0^8 - 786838855/12814*c_1001_0^7 + 495879132/6407*c_1001_0^6 - 392452395/6407*c_1001_0^5 + 356048185/6407*c_1001_0^4 - 791638955/25628*c_1001_0^3 + 189724605/12814*c_1001_0^2 - 170258267/25628*c_1001_0 + 15543127/12814, c_0011_0 - 1, c_0011_3 - 699575/12814*c_1001_0^13 + 5308683/12814*c_1001_0^12 - 20203807/12814*c_1001_0^11 + 2496916/6407*c_1001_0^10 + 19482361/12814*c_1001_0^9 - 47950471/12814*c_1001_0^8 + 86728521/12814*c_1001_0^7 - 54648122/6407*c_1001_0^6 + 43358287/6407*c_1001_0^5 - 39593335/6407*c_1001_0^4 + 43679117/12814*c_1001_0^3 - 21169577/12814*c_1001_0^2 + 9431399/12814*c_1001_0 - 1684441/12814, c_0011_4 + 712389/12814*c_1001_0^13 - 5411195/12814*c_1001_0^12 + 20613855/12814*c_1001_0^11 - 2618649/6407*c_1001_0^10 - 19802711/12814*c_1001_0^9 + 48975591/12814*c_1001_0^8 - 88676249/12814*c_1001_0^7 + 55974371/6407*c_1001_0^6 - 44562803/6407*c_1001_0^5 + 40644083/6407*c_1001_0^4 - 45075843/12814*c_1001_0^3 + 21887161/12814*c_1001_0^2 - 9764563/12814*c_1001_0 + 1774139/12814, c_0011_6 + 91981/596*c_1001_0^13 - 696901/596*c_1001_0^12 + 2648959/596*c_1001_0^11 - 315609/298*c_1001_0^10 - 2546297/596*c_1001_0^9 + 6270811/596*c_1001_0^8 - 11353631/596*c_1001_0^7 + 3573095/149*c_1001_0^6 - 2831694/149*c_1001_0^5 + 2597144/149*c_1001_0^4 - 5696277/596*c_1001_0^3 + 2781573/596*c_1001_0^2 - 1234577/596*c_1001_0 + 217441/596, c_0101_0 - 2125097/12814*c_1001_0^13 + 8060166/6407*c_1001_0^12 - 61339189/12814*c_1001_0^11 + 15072329/12814*c_1001_0^10 + 29491499/6407*c_1001_0^9 - 145654043/12814*c_1001_0^8 + 131691918/6407*c_1001_0^7 - 165839587/6407*c_1001_0^6 + 131608576/6407*c_1001_0^5 - 120305973/6407*c_1001_0^4 + 132266933/12814*c_1001_0^3 - 32204924/6407*c_1001_0^2 + 28566517/12814*c_1001_0 - 2528539/6407, c_0101_6 - 764193/25628*c_1001_0^13 + 5818533/25628*c_1001_0^12 - 22180255/25628*c_1001_0^11 + 2873263/12814*c_1001_0^10 + 22107109/25628*c_1001_0^9 - 52660215/25628*c_1001_0^8 + 94494123/25628*c_1001_0^7 - 29906603/6407*c_1001_0^6 + 23720569/6407*c_1001_0^5 - 21486179/6407*c_1001_0^4 + 48781913/25628*c_1001_0^3 - 23200853/25628*c_1001_0^2 + 10656961/25628*c_1001_0 - 2067321/25628, c_1001_0^14 - 8*c_1001_0^13 + 32*c_1001_0^12 - 19*c_1001_0^11 - 25*c_1001_0^10 + 80*c_1001_0^9 - 152*c_1001_0^8 + 207*c_1001_0^7 - 188*c_1001_0^6 + 164*c_1001_0^5 - 109*c_1001_0^4 + 56*c_1001_0^3 - 26*c_1001_0^2 + 8*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB