Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3549581258] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s656 geometric_solution 5.15029961 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 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 0.255367112547 0.236184016214 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634078059974 1.715826603405 1 3 4 5 0132 3201 0132 0132 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 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 0.017809487603 0.926738590181 5 4 2 1 1023 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 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 0.017809487603 0.926738590181 4 4 3 2 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449688563301 0.526705716646 5 3 2 5 3012 1023 0132 1230 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 -1 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 0 0 0 1.062443150682 1.098130111631 ==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' : 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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], '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_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 55547/64195*c_0101_1^8 + 169641/64195*c_0101_1^7 - 433926/64195*c_0101_1^6 + 973906/64195*c_0101_1^5 - 1101927/64195*c_0101_1^4 - 34645/12839*c_0101_1^3 + 1433056/64195*c_0101_1^2 - 955838/64195*c_0101_1 + 156442/64195, c_0011_0 - 1, c_0011_1 + 102/347*c_0101_1^8 - 304/347*c_0101_1^7 + 742/347*c_0101_1^6 - 1733/347*c_0101_1^5 + 1727/347*c_0101_1^4 + 619/347*c_0101_1^3 - 2572/347*c_0101_1^2 + 1758/347*c_0101_1 - 1026/347, c_0011_3 + 3859/12839*c_0011_4*c_0101_1^8 - 9882/12839*c_0011_4*c_0101_1^7 + 27147/12839*c_0011_4*c_0101_1^6 - 59724/12839*c_0011_4*c_0101_1^5 + 58456/12839*c_0011_4*c_0101_1^4 + 16074/12839*c_0011_4*c_0101_1^3 - 73133/12839*c_0011_4*c_0101_1^2 + 72757/12839*c_0011_4*c_0101_1 - 40899/12839*c_0011_4, c_0011_4^2 - 1747/12839*c_0101_1^8 + 1832/12839*c_0101_1^7 - 8946/12839*c_0101_1^6 + 13247/12839*c_0101_1^5 - 5796/12839*c_0101_1^4 - 17035/12839*c_0101_1^3 - 718/12839*c_0101_1^2 - 8494/12839*c_0101_1 - 7003/12839, c_0101_0 + 7183/12839*c_0101_1^8 - 16278/12839*c_0101_1^7 + 45653/12839*c_0101_1^6 - 95012/12839*c_0101_1^5 + 80934/12839*c_0101_1^4 + 63802/12839*c_0101_1^3 - 128598/12839*c_0101_1^2 + 87162/12839*c_0101_1 - 46697/12839, c_0101_1^9 - 3*c_0101_1^8 + 8*c_0101_1^7 - 18*c_0101_1^6 + 21*c_0101_1^5 - 23*c_0101_1^3 + 24*c_0101_1^2 - 16*c_0101_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB