Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 4223297532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s628 geometric_solution 5.11330222 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.415792191016 0.174188601339 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.538236252185 0.682934094948 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029928484241 1.253910517463 2 5 4 1 3201 1023 3201 0132 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 1 0 -1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029928484241 1.253910517463 3 2 4 4 2310 0132 1230 3012 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 1 -1 1 0 0 -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 1.029597386427 1.554911302569 3 5 5 2 1023 1230 3012 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475578954214 0.620906413509 ==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' : negation(d['1']), 's_1_5' : negation(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_0101_1'], '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' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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_1'], '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_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_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_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 56756085/77824*c_0101_4^17 + 687931543/38912*c_0101_4^15 + 1152848639/38912*c_0101_4^13 + 6040419607/77824*c_0101_4^11 - 122812807711/77824*c_0101_4^9 + 233847700365/77824*c_0101_4^7 - 7144499873/9728*c_0101_4^5 - 2489084863/2432*c_0101_4^3 - 64580351/304*c_0101_4, c_0011_0 - 1, c_0011_1 + 27/16*c_0101_4^16 - 325/8*c_0101_4^14 - 599/8*c_0101_4^12 - 3249/16*c_0101_4^10 + 57233/16*c_0101_4^8 - 103703/16*c_0101_4^6 + 5715/4*c_0101_4^4 + 8551/4*c_0101_4^2 + 449, c_0011_3 - 815199/2432*c_0101_4^17 + 9878041/1216*c_0101_4^15 + 16622757/1216*c_0101_4^13 + 87221429/2432*c_0101_4^11 - 1762557301/2432*c_0101_4^9 + 3348967807/2432*c_0101_4^7 - 6367371/19*c_0101_4^5 - 8896811/19*c_0101_4^3 - 3694307/38*c_0101_4, c_0101_0 + 815275/1216*c_0101_4^17 - 9878953/608*c_0101_4^15 - 16624505/608*c_0101_4^13 - 87231081/1216*c_0101_4^11 + 1762716673/1216*c_0101_4^9 - 3349251363/1216*c_0101_4^7 + 101885441/152*c_0101_4^5 + 71180245/76*c_0101_4^3 + 7389279/38*c_0101_4, c_0101_1 + 675/8*c_0101_4^16 - 32635/16*c_0101_4^14 - 28447/8*c_0101_4^12 - 9439*c_0101_4^10 + 2898487/16*c_0101_4^8 - 5405103/16*c_0101_4^6 + 1262435/16*c_0101_4^4 + 453371/4*c_0101_4^2 + 23631, c_0101_4^18 - 26*c_0101_4^16 + 2*c_0101_4^14 - 35*c_0101_4^12 + 2351*c_0101_4^10 - 7925*c_0101_4^8 + 8252*c_0101_4^6 - 368*c_0101_4^4 - 2176*c_0101_4^2 - 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB