Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 155751690] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s481 geometric_solution 4.85221964 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 -2 1 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 -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 -0.552525800191 1.189697607193 0 3 4 0 0132 1302 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 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 0.439126872953 0.473140984260 5 0 5 4 0132 0132 1230 0132 0 0 0 0 0 2 -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 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 0.229340103936 0.561920715518 5 4 0 1 2031 2031 0132 2031 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 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 0.252997823512 0.928692018118 3 5 2 1 1302 0132 0132 0132 0 0 0 0 0 -1 1 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 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 2.321111750374 0.691417271246 2 4 3 2 0132 0132 1302 3012 0 0 0 0 0 1 0 -1 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 0.443944687953 0.848446043117 ==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_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_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_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), '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_0110_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), '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_0110_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2970/179*c_0110_3^6 - 132957/1253*c_0110_3^5 + 298052/1253*c_0110_3^4 - 280741/1253*c_0110_3^3 + 62308/1253*c_0110_3^2 + 14669/1253*c_0110_3 + 42307/1253, c_0011_0 - 1, c_0011_3 - 591/179*c_0110_3^6 + 16809/1253*c_0110_3^5 - 25734/1253*c_0110_3^4 + 15213/1253*c_0110_3^3 - 866/1253*c_0110_3^2 + 778/1253*c_0110_3 - 1150/1253, c_0101_0 - 1072/179*c_0110_3^6 + 25770/1253*c_0110_3^5 - 32679/1253*c_0110_3^4 + 11350/1253*c_0110_3^3 + 2432/1253*c_0110_3^2 + 2749/1253*c_0110_3 - 269/1253, c_0101_1 + 506/179*c_0110_3^6 - 11542/1253*c_0110_3^5 + 12753/1253*c_0110_3^4 - 1042/1253*c_0110_3^3 - 3149/1253*c_0110_3^2 - 2782/1253*c_0110_3 + 321/1253, c_0101_2 - 105/179*c_0110_3^6 + 45/179*c_0110_3^5 + 668/179*c_0110_3^4 - 1174/179*c_0110_3^3 + 197/179*c_0110_3^2 + 415/179*c_0110_3 + 138/179, c_0110_3^7 - 31/7*c_0110_3^6 + 51/7*c_0110_3^5 - 30/7*c_0110_3^4 - 4/7*c_0110_3^3 + 1/7*c_0110_3^2 + 6/7*c_0110_3 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB