Magma V2.19-8 Tue Aug 20 2013 16:14:26 on localhost [Seed = 2547387286] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s426 geometric_solution 4.72597437 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 -1 0 1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024894673464 0.656266020545 0 2 3 2 0132 3201 2310 1023 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411645884996 0.950066830889 3 0 1 1 0132 0132 2310 1023 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471140280060 0.760791403281 2 1 4 0 0132 3201 2310 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 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 0.024894673464 0.656266020545 5 3 0 5 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0.071899268153 1.045060855669 4 4 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.065068806143 0.447095144737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1405575141/339582574*c_0101_5^12 - 25460591113/1358330296*c_0101_5^10 - 727052685561/5433321184*c_0101_5^8 - 196662764465/1358330296*c_0101_5^6 - 50342575329/1358330296*c_0101_5^4 + 3822092049/169791287*c_0101_5^2 - 5336184803/679165148, c_0011_0 - 1, c_0011_4 + 371035144/169791287*c_0101_5^13 + 1602682706/169791287*c_0101_5^11 + 23269829401/339582574*c_0101_5^9 + 20840257289/339582574*c_0101_5^7 + 545150811/339582574*c_0101_5^5 - 6703752377/339582574*c_0101_5^3 + 893418196/169791287*c_0101_5, c_0101_0 - 25783344/169791287*c_0101_5^12 - 109635540/169791287*c_0101_5^10 - 796404597/169791287*c_0101_5^8 - 1287221099/339582574*c_0101_5^6 + 396154929/339582574*c_0101_5^4 + 574996095/169791287*c_0101_5^2 - 15726285/169791287, c_0101_1 + 106160676/169791287*c_0101_5^13 + 428703385/169791287*c_0101_5^11 + 12730867737/679165148*c_0101_5^9 + 7852875999/679165148*c_0101_5^7 - 2648780459/339582574*c_0101_5^5 - 3327483051/339582574*c_0101_5^3 + 419502232/169791287*c_0101_5, c_0101_3 - 437052344/169791287*c_0101_5^13 - 2005124358/169791287*c_0101_5^11 - 28452294339/339582574*c_0101_5^9 - 16034055724/169791287*c_0101_5^7 - 8312104663/339582574*c_0101_5^5 + 2841432820/169791287*c_0101_5^3 - 462429986/169791287*c_0101_5, c_0101_5^14 + 17/4*c_0101_5^12 + 497/16*c_0101_5^10 + 415/16*c_0101_5^8 - c_0101_5^6 - 17/2*c_0101_5^4 + 7/2*c_0101_5^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB