Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1377029336] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m397 geometric_solution 4.91800344 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 1 -2 0 0 1 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226627784543 1.103847907555 0 2 4 3 0132 3201 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 -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 0.282074233815 0.990874975931 3 4 1 0 3201 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -1 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282074233815 0.990874975931 3 3 1 2 1302 2031 0132 2310 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 -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 0.623101322048 1.077226805429 4 2 4 1 2031 0132 1302 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 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 0.486017365877 0.603055594374 ==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_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_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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 659504/22657*c_0101_2^13 - 711285/45314*c_0101_2^12 - 1811311/22657*c_0101_2^11 - 2981209/22657*c_0101_2^10 - 5582156/22657*c_0101_2^9 + 12917573/45314*c_0101_2^8 + 5511871/45314*c_0101_2^7 + 5706842/22657*c_0101_2^6 - 1230345/22657*c_0101_2^5 - 11208723/45314*c_0101_2^4 + 5718691/45314*c_0101_2^3 + 10374971/45314*c_0101_2^2 - 2965475/45314*c_0101_2 - 2601959/45314, c_0011_0 - 1, c_0011_2 + 410619/90628*c_0101_2^13 - 187391/90628*c_0101_2^12 - 564923/45314*c_0101_2^11 - 487708/22657*c_0101_2^10 - 3673309/90628*c_0101_2^9 + 909683/22657*c_0101_2^8 + 1872483/90628*c_0101_2^7 + 1879507/45314*c_0101_2^6 - 416705/90628*c_0101_2^5 - 1694791/45314*c_0101_2^4 + 760951/45314*c_0101_2^3 + 829537/22657*c_0101_2^2 - 325417/45314*c_0101_2 - 842583/90628, c_0011_3 - 119936/22657*c_0101_2^13 + 114079/45314*c_0101_2^12 + 333748/22657*c_0101_2^11 + 562458/22657*c_0101_2^10 + 1049628/22657*c_0101_2^9 - 2221819/45314*c_0101_2^8 - 1153195/45314*c_0101_2^7 - 1056522/22657*c_0101_2^6 + 157183/22657*c_0101_2^5 + 2080111/45314*c_0101_2^4 - 942417/45314*c_0101_2^3 - 1998105/45314*c_0101_2^2 + 452457/45314*c_0101_2 + 523555/45314, c_0101_1 + 362839/90628*c_0101_2^13 - 182461/90628*c_0101_2^12 - 502683/45314*c_0101_2^11 - 418955/22657*c_0101_2^10 - 3119069/90628*c_0101_2^9 + 1721293/45314*c_0101_2^8 + 1638125/90628*c_0101_2^7 + 1584921/45314*c_0101_2^6 - 602533/90628*c_0101_2^5 - 751580/22657*c_0101_2^4 + 376187/22657*c_0101_2^3 + 1453859/45314*c_0101_2^2 - 182017/22657*c_0101_2 - 829805/90628, c_0101_2^14 - 3*c_0101_2^12 - 6*c_0101_2^11 - 11*c_0101_2^10 + 5*c_0101_2^9 + 9*c_0101_2^8 + 11*c_0101_2^7 + 3*c_0101_2^6 - 9*c_0101_2^5 + 10*c_0101_2^3 + 2*c_0101_2^2 - 3*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB