Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 3086363519] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1588 geometric_solution 5.36090452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.752652675133 0.084824031197 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612566503034 0.240114550551 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 -1 1 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 0.918582771510 1.833589357184 2 4 6 5 0132 3201 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020911915447 0.978247538570 5 6 3 2 1023 3201 2310 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 -1 0 1 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 0.020911915447 0.978247538570 5 4 3 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.000400856907 1.044088810548 6 6 4 3 1302 2031 2310 0132 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.478432789211 0.499726640690 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(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' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], '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_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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 174082/681*c_0101_3^13 - 772141/681*c_0101_3^12 + 80398/681*c_0101_3^11 + 1804753/681*c_0101_3^10 + 2285*c_0101_3^9 + 163048/681*c_0101_3^8 - 370106/681*c_0101_3^7 - 321847/227*c_0101_3^6 - 1498328/681*c_0101_3^5 - 440939/681*c_0101_3^4 + 840838/681*c_0101_3^3 + 528227/681*c_0101_3^2 - 89165/681*c_0101_3 - 97486/681, c_0011_0 - 1, c_0011_4 - 2962/227*c_0011_6*c_0101_3^13 - 12943/227*c_0011_6*c_0101_3^12 + 1909/227*c_0011_6*c_0101_3^11 + 29199/227*c_0011_6*c_0101_3^10 + 108*c_0011_6*c_0101_3^9 + 3674/227*c_0011_6*c_0101_3^8 - 3719/227*c_0011_6*c_0101_3^7 - 14727/227*c_0011_6*c_0101_3^6 - 23724/227*c_0011_6*c_0101_3^5 - 6742/227*c_0011_6*c_0101_3^4 + 12498/227*c_0011_6*c_0101_3^3 + 7248/227*c_0011_6*c_0101_3^2 - 1221/227*c_0011_6*c_0101_3 - 1278/227*c_0011_6, c_0011_6^2 - 25928/8399*c_0101_3^13 - 105470/8399*c_0101_3^12 + 48361/8399*c_0101_3^11 + 238773/8399*c_0101_3^10 + 610/37*c_0101_3^9 + 1264/8399*c_0101_3^8 - 21589/8399*c_0101_3^7 - 132936/8399*c_0101_3^6 - 169601/8399*c_0101_3^5 - 8482/8399*c_0101_3^4 + 101817/8399*c_0101_3^3 + 30077/8399*c_0101_3^2 - 14857/8399*c_0101_3 - 7006/8399, c_0101_0 + 1262/227*c_0101_3^13 + 4483/227*c_0101_3^12 - 5428/227*c_0101_3^11 - 12774/227*c_0101_3^10 - 11*c_0101_3^9 + 8430/227*c_0101_3^8 + 8578/227*c_0101_3^7 + 8798/227*c_0101_3^6 + 6292/227*c_0101_3^5 - 5387/227*c_0101_3^4 - 10654/227*c_0101_3^3 - 2725/227*c_0101_3^2 + 2293/227*c_0101_3 + 1424/227, c_0101_1 + 2416/227*c_0101_3^13 + 9422/227*c_0101_3^12 - 6249/227*c_0101_3^11 - 22782/227*c_0101_3^10 - 55*c_0101_3^9 + 5262/227*c_0101_3^8 + 9141/227*c_0101_3^7 + 14858/227*c_0101_3^6 + 15820/227*c_0101_3^5 - 1728/227*c_0101_3^4 - 13710/227*c_0101_3^3 - 5442/227*c_0101_3^2 + 1905/227*c_0101_3 + 1671/227, c_0101_2 - 2962/227*c_0101_3^13 - 12943/227*c_0101_3^12 + 1909/227*c_0101_3^11 + 29199/227*c_0101_3^10 + 108*c_0101_3^9 + 3674/227*c_0101_3^8 - 3719/227*c_0101_3^7 - 14727/227*c_0101_3^6 - 23724/227*c_0101_3^5 - 6742/227*c_0101_3^4 + 12498/227*c_0101_3^3 + 7248/227*c_0101_3^2 - 1448/227*c_0101_3 - 1278/227, c_0101_3^14 + 7/2*c_0101_3^13 - 9/2*c_0101_3^12 - 19/2*c_0101_3^11 + 1/2*c_0101_3^10 + 13/2*c_0101_3^9 + 5/2*c_0101_3^8 + 7/2*c_0101_3^7 + 7/2*c_0101_3^6 - 5*c_0101_3^5 - 13/2*c_0101_3^4 + 3/2*c_0101_3^3 + 3*c_0101_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB