Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 829468149] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2322 geometric_solution 5.71522231 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 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 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935861955635 0.409786891695 3 0 2 4 0132 0132 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.157849892481 0.388443798689 1 5 6 0 2031 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0.355414396069 0.652792230593 1 6 5 5 0132 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445918473417 0.414197011191 4 5 1 4 3012 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033595439838 0.495148460289 3 2 4 3 3012 0132 0213 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 -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 0.033595439838 0.495148460289 6 3 6 2 2310 0132 3201 0132 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 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 -0.112919267263 1.312040733587 ==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' : 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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : 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_0011_0'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : 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_4, c_0101_0, c_0101_3, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 49732177056/17936205625*c_1001_0^12 + 3818102752/1379708125*c_1001_0^10 + 275957478714/17936205625*c_1001_0^8 - 64591197772/17936205625*c_1001_0^6 + 878794980642/17936205625*c_1001_0^4 - 77848318533/3587241125*c_1001_0^2 + 723785611149/17936205625, c_0011_0 - 1, c_0011_2 + 816368/11037665*c_1001_0^12 + 3092016/11037665*c_1001_0^10 + 6880983/11037665*c_1001_0^8 + 7512912/11037665*c_1001_0^6 + 4336563/11037665*c_1001_0^4 + 17219828/11037665*c_1001_0^2 - 1946286/2207533, c_0011_4 + 32934192/717448225*c_1001_0^13 + 27824/55188325*c_1001_0^11 + 199247083/717448225*c_1001_0^9 - 54678424/717448225*c_1001_0^7 + 924312314/717448225*c_1001_0^5 - 21597896/28697929*c_1001_0^3 + 677466873/717448225*c_1001_0, c_0101_0 - 1036528/28697929*c_1001_0^13 + 192336/11037665*c_1001_0^11 - 27494419/143489645*c_1001_0^9 + 45196208/143489645*c_1001_0^7 - 121287293/143489645*c_1001_0^5 + 156628233/143489645*c_1001_0^3 - 172252647/143489645*c_1001_0, c_0101_3 - 19876048/55188325*c_1001_0^12 - 22159408/55188325*c_1001_0^10 - 75260437/55188325*c_1001_0^8 + 72129126/55188325*c_1001_0^6 - 165962486/55188325*c_1001_0^4 + 16910449/11037665*c_1001_0^2 + 39071758/55188325, c_0110_5 - 4432704/717448225*c_1001_0^13 - 17147968/55188325*c_1001_0^11 - 178966276/717448225*c_1001_0^9 - 786555552/717448225*c_1001_0^7 + 881094597/717448225*c_1001_0^5 - 535018928/143489645*c_1001_0^3 + 1695685534/717448225*c_1001_0, c_1001_0^14 + 73/16*c_1001_0^10 - 101/16*c_1001_0^8 + 319/16*c_1001_0^6 - 367/16*c_1001_0^4 + 177/8*c_1001_0^2 - 169/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB