Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 1983376049] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2205 geometric_solution 5.65624418 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -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 0.784920145499 1.307141278682 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.877438833123 0.744861766620 3 4 5 0 1302 0132 0132 0132 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 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 0.662358978622 0.562279512062 4 2 0 5 2310 2031 0132 2310 0 0 0 0 0 1 -1 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 0 0 -1 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 0.662358978622 0.562279512062 6 2 3 6 0132 0132 3201 3201 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460202188254 0.182582254557 3 6 6 2 3201 2310 1023 0132 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 -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 0.122561166877 0.744861766620 4 4 5 5 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784920145499 1.307141278682 ==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' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1313/25*c_0101_6^3 - 5393/50*c_0101_6^2 + 14299/25*c_0101_6 + 48811/50, c_0011_0 - 1, c_0011_2 - 3/25*c_0101_6^3 - 4/25*c_0101_6^2 + 19/25*c_0101_6 + 8/25, c_0011_5 - 3/25*c_0101_6^3 - 4/25*c_0101_6^2 + 44/25*c_0101_6 + 8/25, c_0101_0 - 1/25*c_0101_4*c_0101_6^3 - 11/50*c_0101_4*c_0101_6^2 + 21/50*c_0101_4*c_0101_6 + 97/50*c_0101_4, c_0101_1 + 3/25*c_0101_6^3 + 4/25*c_0101_6^2 - 44/25*c_0101_6 - 8/25, c_0101_4^2 - 4/25*c_0101_6^3 - 22/25*c_0101_6^2 + 42/25*c_0101_6 - 6/25, c_0101_6^4 + 2*c_0101_6^3 - 11*c_0101_6^2 - 18*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1471/790*c_0101_6^7 - 223/395*c_0101_6^6 + 1101/158*c_0101_6^5 + 3503/395*c_0101_6^4 + 1207/79*c_0101_6^3 - 663/395*c_0101_6^2 + 1451/790*c_0101_6 - 112/395, c_0011_0 - 1, c_0011_2 - 33/79*c_0101_6^7 + 15/79*c_0101_6^6 - 146/79*c_0101_6^5 - 146/79*c_0101_6^4 - 311/79*c_0101_6^3 - 84/79*c_0101_6^2 - 213/79*c_0101_6 - 41/79, c_0011_5 - c_0101_6, c_0101_0 - 179/158*c_0101_4*c_0101_6^7 + 67/158*c_0101_4*c_0101_6^6 - 689/158*c_0101_4*c_0101_6^5 - 847/158*c_0101_4*c_0101_6^4 - 713/79*c_0101_4*c_0101_6^3 + 2/79*c_0101_4*c_0101_6^2 - 509/158*c_0101_4*c_0101_6 - 141/158*c_0101_4, c_0101_1 + 46/79*c_0101_6^7 + 15/79*c_0101_6^6 + 170/79*c_0101_6^5 + 328/79*c_0101_6^4 + 558/79*c_0101_6^3 + 232/79*c_0101_6^2 + 103/79*c_0101_6 + 117/79, c_0101_4^2 + 15/79*c_0101_6^7 - 14/79*c_0101_6^6 + 52/79*c_0101_6^5 + 52/79*c_0101_6^4 + 48/79*c_0101_6^3 - 127/79*c_0101_6^2 + 25/79*c_0101_6 + 33/79, c_0101_6^8 + 4*c_0101_6^6 + 6*c_0101_6^5 + 11*c_0101_6^4 + 4*c_0101_6^3 + 5*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB