Magma V2.19-8 Tue Aug 20 2013 16:19:18 on localhost [Seed = 3137021879] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3409 geometric_solution 6.57734181 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267802638853 0.790726895300 0 4 2 0 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615760096709 1.134525137918 5 0 1 5 0132 0132 3120 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936114389561 1.909125678338 5 6 0 4 2031 0132 0132 3012 0 0 0 0 0 1 -1 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 -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 0.615760096709 1.134525137918 5 1 3 6 1023 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267802638853 0.790726895300 2 4 3 2 0132 1023 1302 1023 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 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 -0.018530728105 0.522415786282 6 3 4 6 3012 0132 1230 1230 0 0 0 0 0 -1 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 0 0 0 0 1 0 -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 0.742113385401 0.774317265977 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_0101_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 346/133*c_0101_6^15 - 58144/1197*c_0101_6^14 - 67993/171*c_0101_6^13 - 746609/399*c_0101_6^12 - 116812/21*c_0101_6^11 - 1831637/171*c_0101_6^10 - 5095375/399*c_0101_6^9 - 8384540/1197*c_0101_6^8 + 5051195/1197*c_0101_6^7 + 1587384/133*c_0101_6^6 + 12867497/1197*c_0101_6^5 + 586944/133*c_0101_6^4 - 451678/1197*c_0101_6^3 - 1703771/1197*c_0101_6^2 - 119969/171*c_0101_6 - 156031/1197, c_0011_0 - 1, c_0011_3 + 5/21*c_0101_6^15 + 229/63*c_0101_6^14 + 208/9*c_0101_6^13 + 1628/21*c_0101_6^12 + 2897/21*c_0101_6^11 + 782/9*c_0101_6^10 - 2686/21*c_0101_6^9 - 19099/63*c_0101_6^8 - 13172/63*c_0101_6^7 + 962/21*c_0101_6^6 + 11101/63*c_0101_6^5 + 2390/21*c_0101_6^4 + 676/63*c_0101_6^3 - 1441/63*c_0101_6^2 - 97/9*c_0101_6 - 71/63, c_0101_0 - 10/21*c_0101_6^15 - 479/63*c_0101_6^14 - 464/9*c_0101_6^13 - 4012/21*c_0101_6^12 - 8524/21*c_0101_6^11 - 3856/9*c_0101_6^10 + 1193/21*c_0101_6^9 + 50189/63*c_0101_6^8 + 62044/63*c_0101_6^7 + 6980/21*c_0101_6^6 - 26948/63*c_0101_6^5 - 11899/21*c_0101_6^4 - 14729/63*c_0101_6^3 + 2399/63*c_0101_6^2 + 656/9*c_0101_6 + 1381/63, c_0101_1 - 1, c_0101_2 - 1/63*c_0101_6^15 + 37/63*c_0101_6^14 + 92/9*c_0101_6^13 + 442/7*c_0101_6^12 + 12274/63*c_0101_6^11 + 2689/9*c_0101_6^10 + 6532/63*c_0101_6^9 - 2697/7*c_0101_6^8 - 39874/63*c_0101_6^7 - 18412/63*c_0101_6^6 + 13595/63*c_0101_6^5 + 22076/63*c_0101_6^4 + 1090/7*c_0101_6^3 - 1261/63*c_0101_6^2 - 133/3*c_0101_6 - 811/63, c_0101_4 - 2/9*c_0101_6^15 - 38/9*c_0101_6^14 - 100/3*c_0101_6^13 - 422/3*c_0101_6^12 - 2995/9*c_0101_6^11 - 1157/3*c_0101_6^10 + 218/9*c_0101_6^9 + 6196/9*c_0101_6^8 + 842*c_0101_6^7 + 2218/9*c_0101_6^6 - 392*c_0101_6^5 - 4187/9*c_0101_6^4 - 1525/9*c_0101_6^3 + 386/9*c_0101_6^2 + 514/9*c_0101_6 + 15, c_0101_6^16 + 17*c_0101_6^15 + 123*c_0101_6^14 + 488*c_0101_6^13 + 1121*c_0101_6^12 + 1343*c_0101_6^11 + 153*c_0101_6^10 - 2010*c_0101_6^9 - 2932*c_0101_6^8 - 1437*c_0101_6^7 + 814*c_0101_6^6 + 1635*c_0101_6^5 + 945*c_0101_6^4 + 84*c_0101_6^3 - 191*c_0101_6^2 - 106*c_0101_6 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB