Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 1612840207] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3110 geometric_solution 6.26669930 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 -0.108684701708 0.605745293967 0 0 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 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 0.286964092690 1.599370895381 0 0 6 5 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 -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 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 0.286964092690 1.599370895381 4 5 1 4 1302 3120 0132 3012 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 0 0 0 0 0 0 0 0.398292830571 0.503355556277 6 3 3 1 0213 2031 1230 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 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 0.398292830571 0.503355556277 6 3 2 6 1302 3120 0132 3012 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 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 0.398292830571 0.503355556277 4 5 5 2 0213 2031 1230 0132 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 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 0.398292830571 0.503355556277 ==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' : 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' : d['c_0110_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_5'], '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_1001_0'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0011_5']})} 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_5, c_0101_1, c_0110_3, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6127/10*c_1001_0^8 - 371057/130*c_1001_0^6 + 303048/65*c_1001_0^4 - 35941/13*c_1001_0^2 + 68957/130, c_0011_0 - 1, c_0011_3 - 15/2*c_1001_0^9 + 17*c_1001_0^8 + 513/13*c_1001_0^7 - 2089/26*c_1001_0^6 - 1981/26*c_1001_0^5 + 3491/26*c_1001_0^4 + 1553/26*c_1001_0^3 - 1078/13*c_1001_0^2 - 206/13*c_1001_0 + 213/13, c_0011_5 + 15/2*c_1001_0^9 + 17*c_1001_0^8 - 513/13*c_1001_0^7 - 2089/26*c_1001_0^6 + 1981/26*c_1001_0^5 + 3491/26*c_1001_0^4 - 1553/26*c_1001_0^3 - 1078/13*c_1001_0^2 + 206/13*c_1001_0 + 213/13, c_0101_1 - c_1001_0, c_0110_3 + 61/2*c_1001_0^9 + 14*c_1001_0^8 - 1951/13*c_1001_0^7 - 890/13*c_1001_0^6 + 3453/13*c_1001_0^5 + 3151/26*c_1001_0^4 - 4785/26*c_1001_0^3 - 2203/26*c_1001_0^2 + 563/13*c_1001_0 + 258/13, c_0110_5 - 61/2*c_1001_0^9 + 14*c_1001_0^8 + 1951/13*c_1001_0^7 - 890/13*c_1001_0^6 - 3453/13*c_1001_0^5 + 3151/26*c_1001_0^4 + 4785/26*c_1001_0^3 - 2203/26*c_1001_0^2 - 563/13*c_1001_0 + 258/13, c_1001_0^10 - 71/13*c_1001_0^8 + 148/13*c_1001_0^6 - 140/13*c_1001_0^4 + 61/13*c_1001_0^2 - 10/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB