Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 122067506] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2627 geometric_solution 5.90641957 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -1 0 1 1 0 0 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702392389739 0.513282087592 0 0 4 4 0132 2310 2310 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.611301190866 0.949694773938 5 0 3 6 0132 0132 3012 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 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 0.156885754410 0.688820491006 6 2 6 0 0132 1230 2031 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657018461224 0.524201777925 5 1 1 5 2103 3201 0132 0321 0 0 0 0 0 0 0 0 1 0 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 1 0 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 -0.479222898631 0.744502855844 2 4 4 6 0132 0321 2103 2031 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702392389739 0.513282087592 3 5 2 3 0132 1302 0132 1302 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 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 0.069985912564 0.742011171529 ==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' : negation(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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_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_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 32/3, c_0011_0 - 1, c_0011_3 + c_0101_0 - 1/2, c_0011_4 + 1/2, c_0101_0^2 - 1/2*c_0101_0 - 3/4, c_0101_1 - 1/2, c_0101_2 + 1/2, c_0101_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1661/4*c_0101_3^11 + 3251/4*c_0101_3^10 - 17429/8*c_0101_3^9 + 35485/16*c_0101_3^8 - 27545/8*c_0101_3^7 + 40677/16*c_0101_3^6 - 40315/16*c_0101_3^5 + 31339/16*c_0101_3^4 + 4691/16*c_0101_3^3 + 2375/2*c_0101_3^2 - 6551/4*c_0101_3 + 6971/16, c_0011_0 - 1, c_0011_3 - 566*c_0101_3^11 + 899*c_0101_3^10 - 2741*c_0101_3^9 + 2124*c_0101_3^8 - 17411/4*c_0101_3^7 + 8101/4*c_0101_3^6 - 3398*c_0101_3^5 + 5723/4*c_0101_3^4 + 317*c_0101_3^3 + 6751/4*c_0101_3^2 - 6281/4*c_0101_3 + 1353/4, c_0011_4 + 500*c_0101_3^11 - 751*c_0101_3^10 + 2374*c_0101_3^9 - 3381/2*c_0101_3^8 + 15097/4*c_0101_3^7 - 5967/4*c_0101_3^6 + 5985/2*c_0101_3^5 - 4035/4*c_0101_3^4 - 265*c_0101_3^3 - 6031/4*c_0101_3^2 + 4999/4*c_0101_3 - 987/4, c_0101_0 - 566*c_0101_3^11 + 899*c_0101_3^10 - 2741*c_0101_3^9 + 2124*c_0101_3^8 - 17411/4*c_0101_3^7 + 8101/4*c_0101_3^6 - 3398*c_0101_3^5 + 5723/4*c_0101_3^4 + 317*c_0101_3^3 + 6751/4*c_0101_3^2 - 6281/4*c_0101_3 + 1353/4, c_0101_1 - 500*c_0101_3^11 + 751*c_0101_3^10 - 2374*c_0101_3^9 + 3381/2*c_0101_3^8 - 15097/4*c_0101_3^7 + 5967/4*c_0101_3^6 - 5985/2*c_0101_3^5 + 4035/4*c_0101_3^4 + 265*c_0101_3^3 + 6031/4*c_0101_3^2 - 4999/4*c_0101_3 + 987/4, c_0101_2 - 787*c_0101_3^11 + 1241*c_0101_3^10 - 7603/2*c_0101_3^9 + 11659/4*c_0101_3^8 - 12077/2*c_0101_3^7 + 11019/4*c_0101_3^6 - 18897/4*c_0101_3^5 + 7745/4*c_0101_3^4 + 1749/4*c_0101_3^3 + 2350*c_0101_3^2 - 2154*c_0101_3 + 1837/4, c_0101_3^12 - 2*c_0101_3^11 + 11/2*c_0101_3^10 - 23/4*c_0101_3^9 + 37/4*c_0101_3^8 - 27/4*c_0101_3^7 + 15/2*c_0101_3^6 - 5*c_0101_3^5 + 1/2*c_0101_3^4 - 11/4*c_0101_3^3 + 4*c_0101_3^2 - 7/4*c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB