Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 1410713732] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1202 geometric_solution 5.09518513 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 1 0 -1 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 0.210543981447 1.063757987304 3 2 4 0 0132 3012 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062622840995 1.270562832551 1 3 0 4 1230 2310 0132 2310 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 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 1.062622840995 1.270562832551 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0.994891319232 0.579745481902 2 5 5 1 3201 0132 3201 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165662146427 0.210299199906 4 4 6 6 2310 0132 3201 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 -1 0 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 1.017663879774 4.578259923716 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -0.360198029700 0.288923826754 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 19642920589609200/4401813281857*c_0101_5^15 + 28403546549097435/4401813281857*c_0101_5^13 + 146349454112942953/8803626563714*c_0101_5^11 - 36944298118146188/4401813281857*c_0101_5^9 - 80476003011246811/4401813281857*c_0101_5^7 + 34612083482189197/8803626563714*c_0101_5^5 + 15618623375266827/4401813281857*c_0101_5^3 + 9551000534183651/8803626563714*c_0101_5, c_0011_0 - 1, c_0011_1 - 214093599156/61997370167*c_0101_5^15 + 605318014617/247989480668*c_0101_5^13 + 3827371072019/247989480668*c_0101_5^11 + 544487161249/123994740334*c_0101_5^9 - 3744230370313/247989480668*c_0101_5^7 - 1899679270131/247989480668*c_0101_5^5 + 703614713313/247989480668*c_0101_5^3 + 648133017349/247989480668*c_0101_5, c_0011_4 + 188474341536/61997370167*c_0101_5^14 - 152910183042/61997370167*c_0101_5^12 - 880549373832/61997370167*c_0101_5^10 - 16768381219/61997370167*c_0101_5^8 + 938534474325/61997370167*c_0101_5^6 + 120029406018/61997370167*c_0101_5^4 - 269828863903/61997370167*c_0101_5^2 - 26292967846/61997370167, c_0011_6 - 180689161212/61997370167*c_0101_5^14 + 1139418794979/247989480668*c_0101_5^12 + 2351145925389/247989480668*c_0101_5^10 - 812200953953/123994740334*c_0101_5^8 - 1772729707507/247989480668*c_0101_5^6 + 1398016468047/247989480668*c_0101_5^4 - 226308149141/247989480668*c_0101_5^2 - 74842669517/247989480668, c_0101_0 + 310023729072/61997370167*c_0101_5^14 - 486205168383/61997370167*c_0101_5^12 - 1158225987420/61997370167*c_0101_5^10 + 796213436954/61997370167*c_0101_5^8 + 1404040153220/61997370167*c_0101_5^6 - 460635788257/61997370167*c_0101_5^4 - 423171076043/61997370167*c_0101_5^2 - 29460695781/61997370167, c_0101_1 + 1827050373468/61997370167*c_0101_5^15 - 10620161544603/247989480668*c_0101_5^13 - 27288688239961/247989480668*c_0101_5^11 + 7223050833485/123994740334*c_0101_5^9 + 30088544091183/247989480668*c_0101_5^7 - 8220663089719/247989480668*c_0101_5^5 - 6105958737679/247989480668*c_0101_5^3 - 633888901543/247989480668*c_0101_5, c_0101_5^16 - 71/48*c_0101_5^14 - 265/72*c_0101_5^12 + 289/144*c_0101_5^10 + 583/144*c_0101_5^8 - 73/72*c_0101_5^6 - 7/9*c_0101_5^4 - 2/9*c_0101_5^2 + 1/144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB