Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1225315668] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s688 geometric_solution 5.18620438 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079802090814 1.225217320211 0 5 5 4 0132 0132 3201 3201 0 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384388584294 0.226964138124 4 0 5 5 0132 0132 2031 1302 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 1 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 0.823584806672 1.628065135525 3 4 3 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290037045759 0.786621614460 2 1 0 3 0132 2310 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 -1 1 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 0.079802090814 1.225217320211 1 1 2 2 2310 0132 2031 1302 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 1 -1 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823584806672 1.628065135525 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), '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_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_0101_1']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_1'], '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_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 21264/11*c_0101_5^9 + 74960/11*c_0101_5^8 - 76060/11*c_0101_5^7 - 19716/11*c_0101_5^6 + 65193/11*c_0101_5^5 + 1324/11*c_0101_5^4 - 31701/11*c_0101_5^3 - 2483/11*c_0101_5^2 + 8066/11*c_0101_5 + 2599/11, c_0011_0 - 1, c_0011_3 - 80*c_0101_5^9 + 272*c_0101_5^8 - 252*c_0101_5^7 - 116*c_0101_5^6 + 265*c_0101_5^5 + 4*c_0101_5^4 - 122*c_0101_5^3 - 6*c_0101_5^2 + 30*c_0101_5 + 8, c_0101_0 + 16*c_0101_5^9 - 48*c_0101_5^8 + 28*c_0101_5^7 + 44*c_0101_5^6 - 41*c_0101_5^5 - 26*c_0101_5^4 + 23*c_0101_5^3 + 14*c_0101_5^2 - 6*c_0101_5 - 4, c_0101_1 + 32*c_0101_5^9 - 128*c_0101_5^8 + 168*c_0101_5^7 - 32*c_0101_5^6 - 94*c_0101_5^5 + 38*c_0101_5^4 + 33*c_0101_5^3 - 9*c_0101_5^2 - 8*c_0101_5 - 1, c_0101_2 - c_0101_5, c_0101_5^10 - 3*c_0101_5^9 + 7/4*c_0101_5^8 + 11/4*c_0101_5^7 - 41/16*c_0101_5^6 - 13/8*c_0101_5^5 + 23/16*c_0101_5^4 + 7/8*c_0101_5^3 - 5/16*c_0101_5^2 - 5/16*c_0101_5 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB