Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 779071639] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m296 geometric_solution 4.41848389 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 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 0.297053741692 0.763541450619 0 0 2 3 0132 3120 1023 2310 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 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 0.297053741692 0.763541450619 2 2 1 0 1302 2031 1023 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 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 0.799301219302 1.742370280487 1 4 0 4 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 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 1 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 0.678395917408 1.204925399322 3 3 4 4 3201 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 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 0.329157339867 0.238449207034 ==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' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 57*c_0110_4^12 + 73*c_0110_4^11 - 879*c_0110_4^10 + 107*c_0110_4^9 + 2854*c_0110_4^8 - 1275*c_0110_4^7 - 3581*c_0110_4^6 + 1943*c_0110_4^5 + 2081*c_0110_4^4 - 906*c_0110_4^3 - 561*c_0110_4^2 + 137*c_0110_4 + 56, c_0011_0 - 1, c_0011_2 - 21*c_0110_4^12 - 42*c_0110_4^11 + 307*c_0110_4^10 + 194*c_0110_4^9 - 1122*c_0110_4^8 - 241*c_0110_4^7 + 1777*c_0110_4^6 + 55*c_0110_4^5 - 1380*c_0110_4^4 + 460*c_0110_4^2 - 54, c_0011_3 - c_0110_4^12 - c_0110_4^11 + 16*c_0110_4^10 - 6*c_0110_4^9 - 53*c_0110_4^8 + 38*c_0110_4^7 + 67*c_0110_4^6 - 60*c_0110_4^5 - 38*c_0110_4^4 + 37*c_0110_4^3 + 10*c_0110_4^2 - 9*c_0110_4 - 1, c_0101_0 + 8*c_0110_4^12 + 9*c_0110_4^11 - 126*c_0110_4^10 + 33*c_0110_4^9 + 414*c_0110_4^8 - 245*c_0110_4^7 - 521*c_0110_4^6 + 375*c_0110_4^5 + 297*c_0110_4^4 - 198*c_0110_4^3 - 79*c_0110_4^2 + 34*c_0110_4 + 8, c_0110_4^13 + c_0110_4^12 - 16*c_0110_4^11 + 6*c_0110_4^10 + 53*c_0110_4^9 - 38*c_0110_4^8 - 67*c_0110_4^7 + 60*c_0110_4^6 + 38*c_0110_4^5 - 37*c_0110_4^4 - 10*c_0110_4^3 + 10*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB