Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 4155927198] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3159 geometric_solution 6.31093996 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.695958524824 0.707058447440 0 0 3 2 0132 3201 0132 0132 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 -1 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 0 0 0 0.690992125011 1.734177343749 4 3 1 4 0132 2031 0132 2031 0 0 1 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 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 0.532104263057 0.624417957620 2 5 5 1 1302 0132 1302 0132 0 0 0 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 0 0 0 0 1 -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 0.532104263057 0.624417957620 2 2 5 6 0132 1302 0132 0132 0 0 0 1 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 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 0.209393188008 0.927767591991 3 3 6 4 2031 0132 3201 0132 0 0 1 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 -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 0.209393188008 0.927767591991 5 6 4 6 2310 1302 0132 2031 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368057661858 1.144431157595 ==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' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 53848459/735768968*c_0101_5^9 + 28342737/66888088*c_0101_5^8 + 253706319/735768968*c_0101_5^7 + 82531071/91971121*c_0101_5^6 - 2804634199/735768968*c_0101_5^5 + 5433004659/735768968*c_0101_5^4 - 78628315/33444044*c_0101_5^3 + 1057357977/91971121*c_0101_5^2 - 15965297049/735768968*c_0101_5 + 11798389145/735768968, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 188079/8361011*c_0101_5^9 - 113123/8361011*c_0101_5^8 - 748650/8361011*c_0101_5^7 + 2460715/8361011*c_0101_5^6 - 1029930/8361011*c_0101_5^5 + 2100718/8361011*c_0101_5^4 - 5177997/8361011*c_0101_5^3 + 6157549/8361011*c_0101_5^2 + 4520942/8361011*c_0101_5 - 2220408/8361011, c_0101_0 + 286324/8361011*c_0101_5^9 - 93759/8361011*c_0101_5^8 + 1049294/8361011*c_0101_5^7 - 4041808/8361011*c_0101_5^6 + 6348903/8361011*c_0101_5^5 - 3399741/8361011*c_0101_5^4 + 7458545/8361011*c_0101_5^3 - 20046401/8361011*c_0101_5^2 + 15061845/8361011*c_0101_5 + 7432670/8361011, c_0101_1 - 1856736/8361011*c_0101_5^9 - 1562466/8361011*c_0101_5^8 - 8561025/8361011*c_0101_5^7 + 17505530/8361011*c_0101_5^6 - 19210482/8361011*c_0101_5^5 + 3366873/8361011*c_0101_5^4 - 59087060/8361011*c_0101_5^3 + 61505349/8361011*c_0101_5^2 - 134654/8361011*c_0101_5 - 21487738/8361011, c_0101_4 + 298550/8361011*c_0101_5^9 + 482349/8361011*c_0101_5^8 + 1735708/8361011*c_0101_5^7 - 1203513/8361011*c_0101_5^6 + 1773707/8361011*c_0101_5^5 + 2054425/8361011*c_0101_5^4 + 6569787/8361011*c_0101_5^3 + 763818/8361011*c_0101_5^2 - 5294258/8361011*c_0101_5 + 4299978/8361011, c_0101_5^10 + 4*c_0101_5^8 - 13*c_0101_5^7 + 19*c_0101_5^6 - 10*c_0101_5^5 + 33*c_0101_5^4 - 58*c_0101_5^3 + 29*c_0101_5^2 + 14*c_0101_5 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB