Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 2033771896] 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' : 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' : 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: 17 Groebner basis: [ t + 249/8*c_0101_0^16 + 309/8*c_0101_0^15 - 1665/4*c_0101_0^14 - 2093/4*c_0101_0^13 + 8909/4*c_0101_0^12 + 11663/4*c_0101_0^11 - 47513/8*c_0101_0^10 - 8373*c_0101_0^9 + 7892*c_0101_0^8 + 50817/4*c_0101_0^7 - 8519/2*c_0101_0^6 - 75309/8*c_0101_0^5 + 625/8*c_0101_0^4 + 23199/8*c_0101_0^3 + 1407/4*c_0101_0^2 - 2017/8*c_0101_0 + 3/4, c_0011_0 - 1, c_0011_1 + c_0101_0^2 - 1, c_0011_3 + 17/4*c_0101_0^16 + 7/4*c_0101_0^15 - 60*c_0101_0^14 - 47/2*c_0101_0^13 + 347*c_0101_0^12 + 271/2*c_0101_0^11 - 4205/4*c_0101_0^10 - 415*c_0101_0^9 + 3545/2*c_0101_0^8 + 686*c_0101_0^7 - 3279/2*c_0101_0^6 - 2305/4*c_0101_0^5 + 3161/4*c_0101_0^4 + 921/4*c_0101_0^3 - 190*c_0101_0^2 - 137/4*c_0101_0 + 39/2, c_0011_4 - 5/4*c_0101_0^16 + 1/4*c_0101_0^15 + 18*c_0101_0^14 - 7/2*c_0101_0^13 - 107*c_0101_0^12 + 35/2*c_0101_0^11 + 1353/4*c_0101_0^10 - 40*c_0101_0^9 - 1219/2*c_0101_0^8 + 43*c_0101_0^7 + 1243/2*c_0101_0^6 - 67/4*c_0101_0^5 - 1353/4*c_0101_0^4 - 25/4*c_0101_0^3 + 91*c_0101_0^2 + 13/4*c_0101_0 - 19/2, c_0011_5 + c_0101_0^4 - 3*c_0101_0^2 + 1, c_0101_0^17 + c_0101_0^16 - 14*c_0101_0^15 - 14*c_0101_0^14 + 80*c_0101_0^13 + 82*c_0101_0^12 - 237*c_0101_0^11 - 254*c_0101_0^10 + 382*c_0101_0^9 + 436*c_0101_0^8 - 322*c_0101_0^7 - 405*c_0101_0^6 + 127*c_0101_0^5 + 195*c_0101_0^4 - 18*c_0101_0^3 - 45*c_0101_0^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB