Magma V2.19-8 Tue Aug 20 2013 16:16:28 on localhost [Seed = 2311591279] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0758 geometric_solution 4.70106466 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 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 -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 1.008184658248 0.712879150132 0 4 3 4 0132 0132 3201 2310 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 -1 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 0.807225523936 0.942414959329 2 0 0 2 3201 0132 1023 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 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 1.318705663789 0.285556999687 1 5 0 5 2310 0132 0132 2310 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 -1 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807225523936 0.942414959329 1 1 6 6 3201 0132 0132 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324384628686 0.216184060329 3 3 6 6 3201 0132 1023 2310 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 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 0.324384628686 0.216184060329 5 4 5 4 3201 2310 1023 0132 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 -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 -2.134658016638 1.422629177345 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : 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_1']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 106/39*c_0110_4^5 + 308/39*c_0110_4^3 - 710/39*c_0110_4, c_0011_0 - 1, c_0011_6 - 4/13*c_0110_4^4 + 18/13*c_0110_4^2 - 16/13, c_0101_0 - 10/13*c_0110_4^5 + 32/13*c_0110_4^3 - 79/13*c_0110_4, c_0101_1 + 6/13*c_0110_4^5 - 14/13*c_0110_4^3 + 37/13*c_0110_4, c_0101_2 + 16/13*c_0110_4^5 - 46/13*c_0110_4^3 + 103/13*c_0110_4, c_0101_6 - c_0110_4, c_0110_4^6 - 3*c_0110_4^4 + 7*c_0110_4^2 - 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 8171/3658*c_0110_4^11 + 6911/1829*c_0110_4^9 - 23325/1829*c_0110_4^7 - 130041/1829*c_0110_4^5 + 248798/1829*c_0110_4^3 - 66893/3658*c_0110_4, c_0011_0 - 1, c_0011_6 - 113/1829*c_0110_4^10 - 278/1829*c_0110_4^8 + 518/1829*c_0110_4^6 + 3935/1829*c_0110_4^4 - 3499/1829*c_0110_4^2 - 1900/1829, c_0101_0 + 627/1829*c_0110_4^11 + 1235/1829*c_0110_4^9 - 3117/1829*c_0110_4^7 - 20264/1829*c_0110_4^5 + 33367/1829*c_0110_4^3 + 572/1829*c_0110_4, c_0101_1 - 71/1829*c_0110_4^11 - 29/1829*c_0110_4^9 + 633/1829*c_0110_4^7 + 1825/1829*c_0110_4^5 - 7556/1829*c_0110_4^3 + 4973/1829*c_0110_4, c_0101_2 + 180/1829*c_0110_4^11 + 22/1829*c_0110_4^9 - 2120/1829*c_0110_4^7 - 6430/1829*c_0110_4^5 + 18409/1829*c_0110_4^3 - 1376/1829*c_0110_4, c_0101_6 - c_0110_4, c_0110_4^12 + 2*c_0110_4^10 - 5*c_0110_4^8 - 33*c_0110_4^6 + 51*c_0110_4^4 + 5*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB