Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3297073382] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s329 geometric_solution 4.51172546 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767836596314 0.593356496020 0 2 4 4 0132 1230 2310 0132 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 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 0.481105820324 0.463096869855 3 0 1 0 0321 0132 3012 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571870796497 1.461570801422 2 5 0 5 0321 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 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 1.778235209214 1.386887469357 4 1 1 4 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.134992527613 0.457499279713 3 3 5 5 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 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 0.232160946535 0.425089612160 ==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' : negation(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' : negation(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_0110_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_0110_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_0011_4, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 303/5*c_0110_5^13 - 662/5*c_0110_5^12 - 2473/5*c_0110_5^11 + 3221/5*c_0110_5^10 + 2021*c_0110_5^9 - 4892/5*c_0110_5^8 - 19069/5*c_0110_5^7 + 366*c_0110_5^6 + 16071/5*c_0110_5^5 - 139/5*c_0110_5^4 - 1119*c_0110_5^3 + 132/5*c_0110_5^2 + 756/5*c_0110_5 - 89/5, c_0011_0 - 1, c_0011_3 - c_0110_5^13 + 2*c_0110_5^12 + 9*c_0110_5^11 - 10*c_0110_5^10 - 39*c_0110_5^9 + 14*c_0110_5^8 + 81*c_0110_5^7 + c_0110_5^6 - 82*c_0110_5^5 - 11*c_0110_5^4 + 41*c_0110_5^3 + 6*c_0110_5^2 - 9*c_0110_5 - 1, c_0011_4 + 59*c_0110_5^13 - 90*c_0110_5^12 - 572*c_0110_5^11 + 315*c_0110_5^10 + 2436*c_0110_5^9 + 347*c_0110_5^8 - 4555*c_0110_5^7 - 2243*c_0110_5^6 + 3662*c_0110_5^5 + 2387*c_0110_5^4 - 1193*c_0110_5^3 - 912*c_0110_5^2 + 125*c_0110_5 + 116, c_0101_0 - 10*c_0110_5^13 + 13*c_0110_5^12 + 103*c_0110_5^11 - 36*c_0110_5^10 - 449*c_0110_5^9 - 134*c_0110_5^8 + 859*c_0110_5^7 + 552*c_0110_5^6 - 718*c_0110_5^5 - 602*c_0110_5^4 + 252*c_0110_5^3 + 255*c_0110_5^2 - 29*c_0110_5 - 37, c_0101_1 - 8*c_0110_5^13 + 15*c_0110_5^12 + 73*c_0110_5^11 - 69*c_0110_5^10 - 313*c_0110_5^9 + 63*c_0110_5^8 + 623*c_0110_5^7 + 103*c_0110_5^6 - 574*c_0110_5^5 - 169*c_0110_5^4 + 235*c_0110_5^3 + 78*c_0110_5^2 - 34*c_0110_5 - 12, c_0110_5^14 - 2*c_0110_5^13 - 9*c_0110_5^12 + 10*c_0110_5^11 + 39*c_0110_5^10 - 14*c_0110_5^9 - 81*c_0110_5^8 - c_0110_5^7 + 82*c_0110_5^6 + 11*c_0110_5^5 - 41*c_0110_5^4 - 6*c_0110_5^3 + 10*c_0110_5^2 + c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB