Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 307465785] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0020 geometric_solution 3.57879223 oriented_manifold CS_known -0.0000000000000001 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 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 4.358323493548 9.761155842897 0 4 0 4 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.372568544246 0.255056619663 3 5 6 0 1302 0132 0132 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 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 -0.256597560928 0.166443537769 5 2 0 6 2031 2031 0132 0132 0 0 0 0 0 0 -1 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 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 0.073573203799 0.654145583167 1 1 4 4 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458301940294 0.022822746270 6 2 3 6 1230 0132 1302 2310 0 0 0 0 0 1 0 -1 1 0 0 -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 -1 0 1 -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 0.037908282779 1.925239009710 5 5 3 2 3201 3012 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207698035008 0.415623949442 ==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' : d['1'], 's_3_4' : 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_1100_0'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0011_6, c_0101_0, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 4*c_1100_0^2 + 9*c_1100_0, c_0011_0 - 1, c_0011_2 + c_1100_0, c_0011_3 + c_1100_0^2 + c_1100_0 - 1, c_0011_6 - 1, c_0101_0 + c_1100_0^2 + c_1100_0 - 1, c_0110_4 - c_1100_0, c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 3234/43*c_1100_0^5 - 7546/43*c_1100_0^4 + 686/43*c_1100_0^3 + 6664/43*c_1100_0^2 - 2121/43*c_1100_0 - 721/43, c_0011_0 - 1, c_0011_2 - 245/43*c_1100_0^5 + 371/43*c_1100_0^4 + 322/43*c_1100_0^3 - 441/43*c_1100_0^2 - 154/43*c_1100_0 + 67/43, c_0011_3 - 7/43*c_1100_0^5 - 84/43*c_1100_0^4 + 35/43*c_1100_0^3 + 168/43*c_1100_0^2 - 13/43*c_1100_0 - 46/43, c_0011_6 + 21/43*c_1100_0^5 - 49/43*c_1100_0^4 - 105/43*c_1100_0^3 + 98/43*c_1100_0^2 + 125/43*c_1100_0 + 9/43, c_0101_0 - 140/43*c_1100_0^5 + 126/43*c_1100_0^4 + 399/43*c_1100_0^3 - 252/43*c_1100_0^2 - 260/43*c_1100_0 + 69/43, c_0110_4 - 245/43*c_1100_0^5 + 371/43*c_1100_0^4 + 322/43*c_1100_0^3 - 441/43*c_1100_0^2 - 111/43*c_1100_0 + 67/43, c_1100_0^6 - 2*c_1100_0^5 - c_1100_0^4 + 3*c_1100_0^3 - c_1100_0 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB