Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 4004475447] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1828 geometric_solution 5.48452849 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.469928327727 0.315577478941 0 3 0 4 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063478702059 0.669304012268 5 0 5 0 0132 2310 2310 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 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 -0.466592970214 0.984881491209 3 1 5 3 3201 0132 1230 2310 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 1 -1 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 0.626103388507 0.704841663600 6 6 1 5 0132 3201 0132 3012 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 -1 0 1 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 0.556530419908 1.293796715955 2 2 4 3 0132 3201 1230 3012 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 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 -0.140440412164 1.480769585649 4 6 4 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.703767777871 0.463387887451 ==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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], '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_0011_0'], 'c_0101_1' : d['c_0101_1'], '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_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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 934189/187476*c_0101_6^12 + 11250211/749904*c_0101_6^11 - 5140077/124984*c_0101_6^10 + 2662123/62492*c_0101_6^9 - 9241609/374952*c_0101_6^8 - 57758113/749904*c_0101_6^7 + 34094489/187476*c_0101_6^6 - 66622141/249968*c_0101_6^5 + 8837173/31246*c_0101_6^4 - 162244483/749904*c_0101_6^3 + 54522497/374952*c_0101_6^2 - 809153/11028*c_0101_6 + 5689657/187476, c_0011_0 - 1, c_0011_2 - 61/204*c_0101_6^12 + 245/272*c_0101_6^11 - 2119/816*c_0101_6^10 + 2419/816*c_0101_6^9 - 721/272*c_0101_6^8 - 1429/408*c_0101_6^7 + 4279/408*c_0101_6^6 - 15637/816*c_0101_6^5 + 18307/816*c_0101_6^4 - 8179/408*c_0101_6^3 + 700/51*c_0101_6^2 - 29/4*c_0101_6 + 176/51, c_0011_4 - 486/15623*c_0101_6^12 + 23143/93738*c_0101_6^11 - 19435/46869*c_0101_6^10 + 60485/93738*c_0101_6^9 + 63013/93738*c_0101_6^8 - 239383/187476*c_0101_6^7 + 48388/15623*c_0101_6^6 - 318775/187476*c_0101_6^5 + 152365/187476*c_0101_6^4 + 53759/187476*c_0101_6^3 - 61091/31246*c_0101_6^2 + 3191/2757*c_0101_6 - 31820/46869, c_0101_0 + 54307/187476*c_0101_6^12 - 522893/749904*c_0101_6^11 + 677551/374952*c_0101_6^10 - 739649/749904*c_0101_6^9 - 30775/374952*c_0101_6^8 + 615045/124984*c_0101_6^7 - 681259/93738*c_0101_6^6 + 6538199/749904*c_0101_6^5 - 683407/93738*c_0101_6^4 + 129779/31246*c_0101_6^3 - 368989/187476*c_0101_6^2 + 1505/5514*c_0101_6 - 2817/15623, c_0101_1 + 61/204*c_0101_6^12 - 245/272*c_0101_6^11 + 2119/816*c_0101_6^10 - 2419/816*c_0101_6^9 + 721/272*c_0101_6^8 + 1429/408*c_0101_6^7 - 4279/408*c_0101_6^6 + 15637/816*c_0101_6^5 - 18307/816*c_0101_6^4 + 8179/408*c_0101_6^3 - 700/51*c_0101_6^2 + 29/4*c_0101_6 - 176/51, c_0101_3 + 27079/31246*c_0101_6^12 - 958291/374952*c_0101_6^11 + 654149/93738*c_0101_6^10 - 2586173/374952*c_0101_6^9 + 164218/46869*c_0101_6^8 + 663424/46869*c_0101_6^7 - 981351/31246*c_0101_6^6 + 16408157/374952*c_0101_6^5 - 8375887/187476*c_0101_6^4 + 5935321/187476*c_0101_6^3 - 632367/31246*c_0101_6^2 + 28903/2757*c_0101_6 - 149722/46869, c_0101_6^13 - 15/4*c_0101_6^12 + 21/2*c_0101_6^11 - 59/4*c_0101_6^10 + 23/2*c_0101_6^9 + 23/2*c_0101_6^8 - 48*c_0101_6^7 + 325/4*c_0101_6^6 - 98*c_0101_6^5 + 87*c_0101_6^4 - 62*c_0101_6^3 + 36*c_0101_6^2 - 16*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB