Magma V2.19-8 Tue Aug 20 2013 16:17:54 on localhost [Seed = 1259001739] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2129 geometric_solution 5.61860714 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 0 0 -1 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 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 0.664283527529 0.724308600155 0 4 3 5 0132 0132 3012 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.069478214501 1.324041915016 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 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 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 0.422854759874 0.205554302034 5 1 4 0 1023 1230 3201 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 0 1 -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 1.069478214501 1.324041915016 3 1 6 6 2310 0132 0132 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 1 -1 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 -0.555768132083 0.518571910983 5 3 1 5 3201 1023 0132 2310 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884862094210 0.673711335546 6 4 6 4 2031 2310 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246472135973 1.442192914330 ==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' : 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_0011_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 59*c_0110_2^4 + 152*c_0110_2^3 - 209*c_0110_2^2 - 241*c_0110_2 + 105, c_0011_0 - 1, c_0011_3 + c_0110_2, c_0011_6 + c_0110_2^4 + 2*c_0110_2^3 - 5*c_0110_2^2 - 3*c_0110_2 + 3, c_0101_0 - c_0110_2^4 - 2*c_0110_2^3 + 5*c_0110_2^2 + 3*c_0110_2 - 3, c_0101_1 + 2*c_0110_2^4 + 5*c_0110_2^3 - 7*c_0110_2^2 - 7*c_0110_2 + 4, c_0101_3 + 2*c_0110_2^4 + 5*c_0110_2^3 - 8*c_0110_2^2 - 8*c_0110_2 + 5, c_0110_2^5 + 2*c_0110_2^4 - 5*c_0110_2^3 - 2*c_0110_2^2 + 4*c_0110_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 59*c_0110_2^4 + 152*c_0110_2^3 - 209*c_0110_2^2 - 241*c_0110_2 + 105, c_0011_0 - 1, c_0011_3 - c_0110_2, c_0011_6 + c_0110_2^4 + 2*c_0110_2^3 - 5*c_0110_2^2 - 3*c_0110_2 + 3, c_0101_0 - c_0110_2^4 - 2*c_0110_2^3 + 5*c_0110_2^2 + 3*c_0110_2 - 3, c_0101_1 - 2*c_0110_2^4 - 5*c_0110_2^3 + 7*c_0110_2^2 + 7*c_0110_2 - 4, c_0101_3 + 2*c_0110_2^4 + 5*c_0110_2^3 - 8*c_0110_2^2 - 8*c_0110_2 + 5, c_0110_2^5 + 2*c_0110_2^4 - 5*c_0110_2^3 - 2*c_0110_2^2 + 4*c_0110_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 26*c_0101_3*c_0110_2^3 + 18*c_0101_3*c_0110_2^2 - 39*c_0101_3*c_0110_2 - 56*c_0101_3 - 138*c_0110_2^3 - 239*c_0110_2^2 - 98*c_0110_2 + 167/2, c_0011_0 - 1, c_0011_3 + c_0101_1*c_0101_3*c_0110_2^3 + c_0101_1*c_0101_3*c_0110_2^2 + 1/2*c_0101_1*c_0101_3*c_0110_2, c_0011_6 - c_0101_3 + 2*c_0110_2^3 + 2*c_0110_2^2 - 1, c_0101_0 + 2*c_0110_2^3 + 2*c_0110_2^2 - 1, c_0101_1^2 - c_0110_2^2 - c_0110_2, c_0101_3^2 + 2*c_0101_3*c_0110_2^3 + 2*c_0101_3*c_0110_2^2 - 2*c_0110_2^3 - c_0110_2^2 + 1, c_0110_2^4 + c_0110_2^3 - 1/2*c_0110_2^2 - c_0110_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB