Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 2084430203] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3483 geometric_solution 6.72322290 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 0 1 -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 0.075951720033 0.446437566620 0 3 2 4 0132 0132 1230 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 -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 0.378729922507 1.392718345204 5 0 6 1 0132 0132 0132 3012 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 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 0.378729922507 1.392718345204 5 1 5 6 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434466155008 0.933437656654 5 6 1 6 2031 0213 0132 3120 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 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 0.317454980988 0.811094139253 2 3 4 3 0132 1023 1302 0132 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 -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 0.434466155008 0.933437656654 4 3 4 2 3120 1302 0213 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 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 0.317454980988 0.811094139253 ==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_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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_3'], 'c_1001_6' : d['c_0110_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_0']), '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_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0110_3'], '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/14*c_0110_3^3 + 11/7*c_0110_3^2 + 11/14*c_0110_3 - 30/7, c_0011_0 - 1, c_0011_4 - c_0110_3^2 + c_0110_3 + 1, c_0011_6 - c_0110_3^3 + 3*c_0110_3^2 - 5, c_0101_0 + c_0110_3^3 - 2*c_0110_3^2 - c_0110_3 + 4, c_0101_1 + 1, c_0101_2 - c_0110_3^3 + 2*c_0110_3^2 - 2, c_0110_3^4 - 4*c_0110_3^3 + 4*c_0110_3^2 + 4*c_0110_3 - 7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 9405/26*c_0110_3^8 - 725/13*c_0110_3^7 - 6506/13*c_0110_3^6 + 5173/26*c_0110_3^5 + 5729/13*c_0110_3^4 - 1399/13*c_0110_3^3 - 2504/13*c_0110_3^2 + 1913/26*c_0110_3 + 856/13, c_0011_0 - 1, c_0011_4 - 1749/13*c_0110_3^8 + 513/13*c_0110_3^7 + 2445/13*c_0110_3^6 - 1262/13*c_0110_3^5 - 2062/13*c_0110_3^4 + 712/13*c_0110_3^3 + 920/13*c_0110_3^2 - 375/13*c_0110_3 - 290/13, c_0011_6 - 1749/13*c_0110_3^8 + 513/13*c_0110_3^7 + 2445/13*c_0110_3^6 - 1262/13*c_0110_3^5 - 2062/13*c_0110_3^4 + 712/13*c_0110_3^3 + 920/13*c_0110_3^2 - 375/13*c_0110_3 - 290/13, c_0101_0 - 990/13*c_0110_3^8 + 258/13*c_0110_3^7 + 1421/13*c_0110_3^6 - 641/13*c_0110_3^5 - 1189/13*c_0110_3^4 + 352/13*c_0110_3^3 + 547/13*c_0110_3^2 - 187/13*c_0110_3 - 159/13, c_0101_1 + 1232/13*c_0110_3^8 - 445/13*c_0110_3^7 - 1567/13*c_0110_3^6 + 904/13*c_0110_3^5 + 1252/13*c_0110_3^4 - 499/13*c_0110_3^3 - 525/13*c_0110_3^2 + 246/13*c_0110_3 + 158/13, c_0101_2 + c_0110_3, c_0110_3^9 + 3/11*c_0110_3^8 - 17/11*c_0110_3^7 - 1/11*c_0110_3^6 + 17/11*c_0110_3^5 + 3/11*c_0110_3^4 - 8/11*c_0110_3^3 - 1/11*c_0110_3^2 + 3/11*c_0110_3 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB