Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 1579139725] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1247 geometric_solution 5.14228247 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491083448922 0.328631950850 0 3 2 4 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593536606532 0.941202172075 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593536606532 0.941202172075 3 1 3 2 2310 0132 3201 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 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 -0.309304512116 1.127457320217 5 5 1 2 0132 2310 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073228218601 1.642250597669 4 6 6 4 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.295956346771 0.377032064765 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.597508777644 0.513643873827 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_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_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 652617727/33758899*c_0110_2^17 + 7627079061/33758899*c_0110_2^15 + 10225082759/33758899*c_0110_2^13 - 82355813223/33758899*c_0110_2^11 + 131390179509/33758899*c_0110_2^9 - 133099192578/33758899*c_0110_2^7 + 55917862911/33758899*c_0110_2^5 - 17908343877/33758899*c_0110_2^3 + 1646792009/33758899*c_0110_2, c_0011_0 - 1, c_0011_4 + 81867316/33758899*c_0110_2^17 - 962591373/33758899*c_0110_2^15 - 1214224347/33758899*c_0110_2^13 + 10416419162/33758899*c_0110_2^11 - 17222128523/33758899*c_0110_2^9 + 17931321072/33758899*c_0110_2^7 - 8317906454/33758899*c_0110_2^5 + 2859896894/33758899*c_0110_2^3 - 431148058/33758899*c_0110_2, c_0101_0 - 10026278/33758899*c_0110_2^16 + 115337811/33758899*c_0110_2^14 + 177700478/33758899*c_0110_2^12 - 1226503815/33758899*c_0110_2^10 + 1803645134/33758899*c_0110_2^8 - 1782968201/33758899*c_0110_2^6 + 613900102/33758899*c_0110_2^4 - 243988207/33758899*c_0110_2^2 + 20440593/33758899, c_0101_1 - 10414315/33758899*c_0110_2^16 + 119923027/33758899*c_0110_2^14 + 182924449/33758899*c_0110_2^12 - 1273513390/33758899*c_0110_2^10 + 1896033964/33758899*c_0110_2^8 - 1891465589/33758899*c_0110_2^6 + 689661240/33758899*c_0110_2^4 - 286784899/33758899*c_0110_2^2 + 14617215/33758899, c_0101_2 + 5823378/33758899*c_0110_2^17 - 70268573/33758899*c_0110_2^15 - 65295320/33758899*c_0110_2^13 + 768086489/33758899*c_0110_2^11 - 1450443673/33758899*c_0110_2^9 + 1653054134/33758899*c_0110_2^7 - 987827466/33758899*c_0110_2^5 + 401870306/33758899*c_0110_2^3 - 112677228/33758899*c_0110_2, c_0101_6 + 61397123/33758899*c_0110_2^16 - 726281382/33758899*c_0110_2^14 - 860401502/33758899*c_0110_2^12 + 7892189889/33758899*c_0110_2^10 - 13461813778/33758899*c_0110_2^8 + 14196803290/33758899*c_0110_2^6 - 6843508502/33758899*c_0110_2^4 + 2229755819/33758899*c_0110_2^2 - 301096196/33758899, c_0110_2^18 - 12*c_0110_2^16 - 12*c_0110_2^14 + 131*c_0110_2^12 - 241*c_0110_2^10 + 268*c_0110_2^8 - 151*c_0110_2^6 + 56*c_0110_2^4 - 12*c_0110_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB