Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 2050745979] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s575 geometric_solution 5.04005454 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 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 0.329870029068 0.270810978532 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 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 0.859177908060 1.215913055191 1 3 4 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.275671499752 0.990473802519 5 4 2 1 3201 3201 2310 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 1 0 -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 -0.275671499752 0.990473802519 4 4 3 2 1302 2031 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 -1 1 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 0.291887682140 0.569631780093 5 5 2 3 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102458613395 1.474496338116 ==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' : negation(d['c_0011_5']), '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' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0011_5'], '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_0011_5, c_0101_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 24*c_0101_0^14 - 15/2*c_0101_0^13 + 979/4*c_0101_0^12 + 70*c_0101_0^11 - 1917/2*c_0101_0^10 - 761/4*c_0101_0^9 + 7171/4*c_0101_0^8 + 275/4*c_0101_0^7 - 6477/4*c_0101_0^6 + 689/2*c_0101_0^5 + 2507/4*c_0101_0^4 - 755/2*c_0101_0^3 - 129/2*c_0101_0^2 + 253/2*c_0101_0 - 155/4, c_0011_0 - 1, c_0011_1 - c_0101_0^2 + 1, c_0011_3 - c_0101_0^14 - 2*c_0101_0^13 + 10*c_0101_0^12 + 19*c_0101_0^11 - 37*c_0101_0^10 - 66*c_0101_0^9 + 63*c_0101_0^8 + 100*c_0101_0^7 - 51*c_0101_0^6 - 60*c_0101_0^5 + 22*c_0101_0^4 + 8*c_0101_0^3 - 9*c_0101_0^2 + c_0101_0 + 1, c_0011_4 + c_0101_0^13 - 10*c_0101_0^11 - c_0101_0^10 + 38*c_0101_0^9 + 6*c_0101_0^8 - 67*c_0101_0^7 - 11*c_0101_0^6 + 54*c_0101_0^5 + 4*c_0101_0^4 - 18*c_0101_0^3 + 5*c_0101_0^2 + 3*c_0101_0 - 2, c_0011_5 + c_0101_0^4 - 3*c_0101_0^2 + 1, c_0101_0^15 + c_0101_0^14 - 10*c_0101_0^13 - 10*c_0101_0^12 + 38*c_0101_0^11 + 36*c_0101_0^10 - 69*c_0101_0^9 - 56*c_0101_0^8 + 64*c_0101_0^7 + 34*c_0101_0^6 - 34*c_0101_0^5 - 3*c_0101_0^4 + 13*c_0101_0^3 - 3*c_0101_0^2 - 2*c_0101_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB