Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3330759396] 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' : 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_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 - 199/11*c_0110_5^13 + 628/11*c_0110_5^12 + 1625/11*c_0110_5^11 - 4215/11*c_0110_5^10 - 7725/11*c_0110_5^9 + 9796/11*c_0110_5^8 + 19493/11*c_0110_5^7 - 6728/11*c_0110_5^6 - 21775/11*c_0110_5^5 - 2499/11*c_0110_5^4 + 9579/11*c_0110_5^3 + 3172/11*c_0110_5^2 - 1252/11*c_0110_5 - 565/11, c_0011_0 - 1, c_0011_3 - c_0110_5^13 + 4*c_0110_5^12 + 5*c_0110_5^11 - 26*c_0110_5^10 - 19*c_0110_5^9 + 70*c_0110_5^8 + 49*c_0110_5^7 - 87*c_0110_5^6 - 62*c_0110_5^5 + 49*c_0110_5^4 + 37*c_0110_5^3 - 12*c_0110_5^2 - 9*c_0110_5 + 1, c_0011_4 + 11*c_0110_5^13 - 44*c_0110_5^12 - 56*c_0110_5^11 + 293*c_0110_5^10 + 200*c_0110_5^9 - 801*c_0110_5^8 - 479*c_0110_5^7 + 1027*c_0110_5^6 + 536*c_0110_5^5 - 625*c_0110_5^4 - 245*c_0110_5^3 + 176*c_0110_5^2 + 39*c_0110_5 - 20, c_0101_0 + 6*c_0110_5^13 - 31*c_0110_5^12 - c_0110_5^11 + 186*c_0110_5^10 - 69*c_0110_5^9 - 522*c_0110_5^8 + 189*c_0110_5^7 + 776*c_0110_5^6 - 216*c_0110_5^5 - 592*c_0110_5^4 + 96*c_0110_5^3 + 221*c_0110_5^2 - 13*c_0110_5 - 31, c_0101_1 - 8*c_0110_5^13 + 33*c_0110_5^12 + 35*c_0110_5^11 - 209*c_0110_5^10 - 121*c_0110_5^9 + 553*c_0110_5^8 + 303*c_0110_5^7 - 675*c_0110_5^6 - 360*c_0110_5^5 + 367*c_0110_5^4 + 185*c_0110_5^3 - 84*c_0110_5^2 - 32*c_0110_5 + 6, c_0110_5^14 - 4*c_0110_5^13 - 5*c_0110_5^12 + 26*c_0110_5^11 + 19*c_0110_5^10 - 70*c_0110_5^9 - 49*c_0110_5^8 + 87*c_0110_5^7 + 62*c_0110_5^6 - 49*c_0110_5^5 - 37*c_0110_5^4 + 12*c_0110_5^3 + 10*c_0110_5^2 - c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB