Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 2968595632] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s508 geometric_solution 4.89647279 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 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 0 0 0 0 0.497465020173 0.186245972135 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 1 -1 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 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853428296007 1.007361155714 4 1 5 3 0132 0132 0132 1230 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197417663341 1.029776455831 2 5 1 4 3012 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.197417663341 1.029776455831 2 4 4 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.122028595493 0.646612752606 3 5 5 2 1023 3201 2310 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682669934897 0.431955297259 ==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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 17263/1024*c_0101_5^10 - 40683/1024*c_0101_5^9 - 1983/64*c_0101_5^8 + 11655/512*c_0101_5^7 - 8901/1024*c_0101_5^6 + 65581/1024*c_0101_5^5 + 230395/1024*c_0101_5^4 - 194111/1024*c_0101_5^3 + 146767/512*c_0101_5^2 - 154151/1024*c_0101_5 + 49765/1024, c_0011_0 - 1, c_0011_3 + 39/32*c_0101_5^10 + 87/32*c_0101_5^9 + 3/2*c_0101_5^8 - 47/16*c_0101_5^7 + 5/32*c_0101_5^6 - 113/32*c_0101_5^5 - 483/32*c_0101_5^4 + 515/32*c_0101_5^3 - 283/16*c_0101_5^2 + 351/32*c_0101_5 - 89/32, c_0101_0 + 165/128*c_0101_5^10 + 385/128*c_0101_5^9 + 17/8*c_0101_5^8 - 141/64*c_0101_5^7 + 71/128*c_0101_5^6 - 551/128*c_0101_5^5 - 2185/128*c_0101_5^4 + 1869/128*c_0101_5^3 - 1325/64*c_0101_5^2 + 1293/128*c_0101_5 - 303/128, c_0101_1 - 219/256*c_0101_5^10 - 471/256*c_0101_5^9 - 19/16*c_0101_5^8 + 147/128*c_0101_5^7 - 329/256*c_0101_5^6 + 865/256*c_0101_5^5 + 3095/256*c_0101_5^4 - 2971/256*c_0101_5^3 + 2123/128*c_0101_5^2 - 2035/256*c_0101_5 + 313/256, c_0101_2 - 9/64*c_0101_5^10 + 19/64*c_0101_5^9 + 7/4*c_0101_5^8 + 81/32*c_0101_5^7 - 35/64*c_0101_5^6 - 69/64*c_0101_5^5 - 35/64*c_0101_5^4 - 633/64*c_0101_5^3 + 105/32*c_0101_5^2 - 337/64*c_0101_5 + 67/64, c_0101_5^11 + 2*c_0101_5^10 + c_0101_5^9 - 2*c_0101_5^8 + c_0101_5^7 - 4*c_0101_5^6 - 12*c_0101_5^5 + 16*c_0101_5^4 - 21*c_0101_5^3 + 15*c_0101_5^2 - 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB