Magma V2.19-8 Tue Aug 20 2013 16:09:04 on localhost [Seed = 678016674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m361 geometric_solution 4.73709732 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 2 1230 3012 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 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 0.332577949661 0.861820210736 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 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 0.934592020795 1.132238713529 1 3 0 4 1230 2310 0132 3201 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 0 0 1 -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 0 0 0 0.934592020795 1.132238713529 1 3 3 2 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937145200177 0.705891024649 4 2 4 1 2031 2310 1302 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196681148385 0.706001311404 ==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_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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 448045/6133*c_0101_1^9 + 2689795/6133*c_0101_1^8 - 41054691/98128*c_0101_1^7 + 4183325/49064*c_0101_1^6 + 229987/98128*c_0101_1^5 + 2440345/98128*c_0101_1^4 + 17545587/98128*c_0101_1^3 - 6660847/98128*c_0101_1^2 - 1862813/49064*c_0101_1 - 488753/98128, c_0011_0 - 1, c_0011_1 - 308668/6133*c_0101_1^9 + 1734966/6133*c_0101_1^8 - 4257169/24532*c_0101_1^7 - 2419949/49064*c_0101_1^6 + 1777811/49064*c_0101_1^5 + 64561/6133*c_0101_1^4 + 6389375/49064*c_0101_1^3 + 7309/12266*c_0101_1^2 - 2045671/49064*c_0101_1 - 330827/49064, c_0011_4 - 23460/6133*c_0101_1^9 + 157214/6133*c_0101_1^8 - 921319/24532*c_0101_1^7 + 843795/49064*c_0101_1^6 + 44173/49064*c_0101_1^5 - 22821/24532*c_0101_1^4 + 417353/49064*c_0101_1^3 - 258647/24532*c_0101_1^2 - 27361/49064*c_0101_1 + 90299/49064, c_0101_0 + 236174/6133*c_0101_1^9 - 1353228/6133*c_0101_1^8 + 7735081/49064*c_0101_1^7 + 796799/49064*c_0101_1^6 - 174270/6133*c_0101_1^5 - 179065/49064*c_0101_1^4 - 1218297/12266*c_0101_1^3 + 456179/49064*c_0101_1^2 + 1435859/49064*c_0101_1 + 10459/6133, c_0101_1^10 - 5*c_0101_1^9 - 1/16*c_0101_1^8 + 13/4*c_0101_1^7 - 1/4*c_0101_1^6 - 5/8*c_0101_1^5 - 43/16*c_0101_1^4 - 13/8*c_0101_1^3 + 7/8*c_0101_1^2 + 5/8*c_0101_1 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB