Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 3886447490] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s888 geometric_solution 5.59638839 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1230 0132 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 1 0 -1 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 0.237360265499 0.637036918388 0 4 4 5 0132 0132 3120 0132 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 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 0.783307147556 1.148305902736 3 0 4 0 1230 0132 2103 3012 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 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772343926983 0.645142880607 5 2 0 5 1302 3012 0132 0213 0 0 0 0 0 -1 0 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 -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 0.131425738407 1.814292613337 2 1 1 5 2103 0132 3120 2310 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 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 0.783307147556 1.148305902736 4 3 1 3 3201 2031 0132 0213 0 0 0 0 0 0 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 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 -0.000101117113 1.156883003777 ==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' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : negation(d['c_0110_3']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0011_0']})} 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_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3*c_0110_3^9 - 44/9*c_0110_3^8 + 8/9*c_0110_3^7 - 101/9*c_0110_3^6 + 23/9*c_0110_3^5 + 128/9*c_0110_3^4 + 32/9*c_0110_3^3 - 35/9*c_0110_3^2 - 136/9*c_0110_3 + 67/9, c_0011_0 - 1, c_0011_3 - 10/9*c_0110_3^9 + 14/9*c_0110_3^8 - 2/9*c_0110_3^7 + 41/9*c_0110_3^6 - 11/3*c_0110_3^4 - 26/9*c_0110_3^3 - 4/9*c_0110_3^2 + 19/9*c_0110_3 - 20/9, c_0011_5 - c_0110_3^9 + 13/9*c_0110_3^8 - 4/9*c_0110_3^7 + 37/9*c_0110_3^6 + 2/9*c_0110_3^5 - 28/9*c_0110_3^4 - 16/9*c_0110_3^3 - 5/9*c_0110_3^2 + 14/9*c_0110_3 - 20/9, c_0101_0 + 11/9*c_0110_3^9 - 2*c_0110_3^8 + 1/3*c_0110_3^7 - 13/3*c_0110_3^6 + 5/9*c_0110_3^5 + 50/9*c_0110_3^4 + 4/3*c_0110_3^3 - c_0110_3^2 - 7/3*c_0110_3 + 26/9, c_0101_2 - c_0110_3^9 + 13/9*c_0110_3^8 - 4/9*c_0110_3^7 + 37/9*c_0110_3^6 + 2/9*c_0110_3^5 - 28/9*c_0110_3^4 - 16/9*c_0110_3^3 - 5/9*c_0110_3^2 + 14/9*c_0110_3 - 20/9, c_0110_3^10 - 2*c_0110_3^9 + c_0110_3^8 - 4*c_0110_3^7 + 2*c_0110_3^6 + 4*c_0110_3^5 - c_0110_3^3 - 2*c_0110_3^2 + 3*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB