Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3280101339] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s729 geometric_solution 5.24564664 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 2310 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 0 0 1 -1 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 0.824945079253 0.541985157492 0 4 3 3 0132 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389832296834 0.444128027983 0 0 5 4 3201 0132 0132 2103 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 0 0 0 0 0 -1 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 1.016388999325 0.544947768025 1 1 5 0 3012 3201 1302 0132 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 0 1 -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 0.389832296834 0.444128027983 5 1 5 2 2031 0132 0213 2103 0 0 0 0 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 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 0.170444393369 1.587285575994 3 4 4 2 2031 0213 1302 0132 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 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 0.933120423151 0.622824755700 ==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_5'], 'c_1100_4' : negation(d['c_0110_2']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0011_5, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 67*c_1001_0^9 - 360*c_1001_0^8 - 513*c_1001_0^7 + 710*c_1001_0^6 + 1725*c_1001_0^5 - 718*c_1001_0^4 - 1512*c_1001_0^3 + 176*c_1001_0^2 + 424*c_1001_0 + 73, c_0011_0 - 1, c_0011_3 + 37*c_1001_0^9 + 205*c_1001_0^8 + 313*c_1001_0^7 - 365*c_1001_0^6 - 1053*c_1001_0^5 + 258*c_1001_0^4 + 988*c_1001_0^3 + 33*c_1001_0^2 - 309*c_1001_0 - 82, c_0011_5 - 45*c_1001_0^9 - 250*c_1001_0^8 - 384*c_1001_0^7 + 440*c_1001_0^6 + 1288*c_1001_0^5 - 303*c_1001_0^4 - 1214*c_1001_0^3 - 45*c_1001_0^2 + 380*c_1001_0 + 101, c_0101_1 - c_1001_0, c_0110_2 + 6*c_1001_0^9 + 31*c_1001_0^8 + 39*c_1001_0^7 - 75*c_1001_0^6 - 146*c_1001_0^5 + 94*c_1001_0^4 + 129*c_1001_0^3 - 37*c_1001_0^2 - 36*c_1001_0 - 3, c_1001_0^10 + 6*c_1001_0^9 + 11*c_1001_0^8 - 6*c_1001_0^7 - 33*c_1001_0^6 - 6*c_1001_0^5 + 30*c_1001_0^4 + 13*c_1001_0^3 - 8*c_1001_0^2 - 6*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB