Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 559988628] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m103 geometric_solution 3.52850950 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 2031 3120 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 -1 1 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976772617649 1.043856022397 0 2 3 3 0132 1230 2310 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011669631664 0.533299045705 0 0 1 0 3120 0132 3012 1302 0 0 0 0 0 0 1 -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 1 0 -1 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021306106209 0.957512428419 4 1 1 4 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.414370565408 0.567514281068 3 3 4 4 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.590120567600 1.235017226433 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), '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_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 25393263239/1555431942*c_0101_4^9 + 200028338459/1555431942*c_0101_4^8 - 178120001579/1555431942*c_0101_4^7 - 127035925571/518477314*c_0101_4^6 + 1133944967851/777715971*c_0101_4^5 + 461489474215/1555431942*c_0101_4^4 - 773815358435/518477314*c_0101_4^3 - 85737488077/259238657*c_0101_4^2 + 70496779674/259238657*c_0101_4 + 223562716643/1555431942, c_0011_0 - 1, c_0011_3 + 1657176/259238657*c_0101_4^9 + 2708616/259238657*c_0101_4^8 - 108071139/259238657*c_0101_4^7 + 107246298/259238657*c_0101_4^6 + 63572077/259238657*c_0101_4^5 - 1310440800/259238657*c_0101_4^4 - 454570932/259238657*c_0101_4^3 + 730253836/259238657*c_0101_4^2 + 636834919/259238657*c_0101_4 + 11027556/259238657, c_0101_0 + 21850156/259238657*c_0101_4^9 - 175847754/259238657*c_0101_4^8 + 192936600/259238657*c_0101_4^7 + 216030906/259238657*c_0101_4^6 - 1897062524/259238657*c_0101_4^5 + 44824563/259238657*c_0101_4^4 + 1099203635/259238657*c_0101_4^3 + 378224950/259238657*c_0101_4^2 + 226815182/259238657*c_0101_4 - 92074050/259238657, c_0101_1 + 4226956/259238657*c_0101_4^9 - 57227823/259238657*c_0101_4^8 + 216961905/259238657*c_0101_4^7 - 105590485/259238657*c_0101_4^6 - 661794033/259238657*c_0101_4^5 + 1962296487/259238657*c_0101_4^4 + 838435315/259238657*c_0101_4^3 - 1277931630/259238657*c_0101_4^2 - 432647525/259238657*c_0101_4 - 101444430/259238657, c_0101_4^10 - 8*c_0101_4^9 + 8*c_0101_4^8 + 14*c_0101_4^7 - 91*c_0101_4^6 - 7*c_0101_4^5 + 92*c_0101_4^4 + 9*c_0101_4^3 - 18*c_0101_4^2 - 7*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB