Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 2261195349] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1371 geometric_solution 5.23091188 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 3201 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 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 0.201708001216 0.118242453090 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.995832836672 0.541864736210 3 0 4 0 0132 2310 0132 0132 0 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 -1 -1 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 -0.160545350816 1.494384413219 2 4 5 4 0132 3201 0132 1230 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 1 0 -1 1 0 -1 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 0.500308153689 1.281805853753 3 6 3 2 3012 0132 2310 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 1 0 -1 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500308153689 1.281805853753 6 6 6 3 2031 0321 3201 0132 0 0 0 1 0 0 0 0 -1 0 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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735752897909 0.677009718511 5 4 5 5 2310 0132 1302 0321 0 1 0 0 0 -1 1 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 -1 1 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 0.735752897909 0.677009718511 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 856065389/93528490*c_0101_4^9 + 683653353/93528490*c_0101_4^8 - 7735515863/93528490*c_0101_4^7 + 340560848/9352849*c_0101_4^6 + 30058760533/93528490*c_0101_4^5 + 14071115249/46764245*c_0101_4^4 - 5122308341/46764245*c_0101_4^3 - 15117441639/46764245*c_0101_4^2 + 15668373951/93528490*c_0101_4 - 4934857481/46764245, c_0011_0 - 1, c_0011_2 - 181889/9352849*c_0101_4^9 - 299047/9352849*c_0101_4^8 + 1337733/9352849*c_0101_4^7 + 137010/9352849*c_0101_4^6 - 5366719/9352849*c_0101_4^5 - 9335982/9352849*c_0101_4^4 - 13597415/9352849*c_0101_4^3 - 3250052/9352849*c_0101_4^2 - 2147668/9352849*c_0101_4 + 4285288/9352849, c_0011_4 - 772325/18705698*c_0101_4^9 - 1137951/18705698*c_0101_4^8 + 6847853/18705698*c_0101_4^7 + 720398/9352849*c_0101_4^6 - 31927825/18705698*c_0101_4^5 - 19537483/9352849*c_0101_4^4 + 655789/9352849*c_0101_4^3 + 16663277/9352849*c_0101_4^2 - 4430597/18705698*c_0101_4 - 398257/9352849, c_0011_5 - 1, c_0101_0 + 772325/18705698*c_0101_4^9 + 1137951/18705698*c_0101_4^8 - 6847853/18705698*c_0101_4^7 - 720398/9352849*c_0101_4^6 + 31927825/18705698*c_0101_4^5 + 19537483/9352849*c_0101_4^4 - 655789/9352849*c_0101_4^3 - 16663277/9352849*c_0101_4^2 + 23136295/18705698*c_0101_4 + 398257/9352849, c_0101_1 - 1978703/18705698*c_0101_4^9 - 1388709/18705698*c_0101_4^8 + 18138057/18705698*c_0101_4^7 - 4474006/9352849*c_0101_4^6 - 70240969/18705698*c_0101_4^5 - 31656773/9352849*c_0101_4^4 + 21674241/9352849*c_0101_4^3 + 39696119/9352849*c_0101_4^2 - 41421739/18705698*c_0101_4 - 6683/9352849, c_0101_4^10 + c_0101_4^9 - 9*c_0101_4^8 + 2*c_0101_4^7 + 37*c_0101_4^6 + 40*c_0101_4^5 - 10*c_0101_4^4 - 44*c_0101_4^3 + 11*c_0101_4^2 - 2*c_0101_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB