Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 3768679673] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s933 geometric_solution 5.84315610 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 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 0.593420649124 0.899899047082 0 3 5 4 0132 0132 0132 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 1 0 -1 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 0.537116733093 1.105636237707 3 0 4 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 0 -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 0.537116733093 1.105636237707 3 1 2 3 3201 0132 3201 2310 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 -1 0 1 -1 0 1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032656115272 0.782893244939 4 4 1 2 1230 3012 0132 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 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 0.593420649124 0.899899047082 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 -1 0 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 0.032656115272 0.782893244939 ==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' : negation(d['1']), 's_2_0' : negation(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' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3/2*c_0101_3^6 + 1/2*c_0101_3^5 - 1/2*c_0101_3^4 + 2*c_0101_3^3 + 1/2*c_0101_3^2 - 3/2*c_0101_3 - 2, c_0011_0 - 1, c_0011_4 - c_0101_3^6 + c_0101_3^4 - 2*c_0101_3^3 + c_0101_3, c_0011_5 - 1, c_0101_0 + c_0101_3^6 + 2*c_0101_3^3 - c_0101_3^2 - c_0101_3, c_0101_1 + c_0101_3^6 - c_0101_3^4 + 2*c_0101_3^3 - c_0101_3, c_0101_3^7 - c_0101_3^5 + 2*c_0101_3^4 - 2*c_0101_3^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 937522922/141499*c_0101_3^15 - 37986307173/707495*c_0101_3^14 + 83581769251/1414990*c_0101_3^13 + 26303296884/141499*c_0101_3^12 - 125541865884/707495*c_0101_3^11 - 426000933543/1414990*c_0101_3^10 + 150281169506/707495*c_0101_3^9 + 223354947448/707495*c_0101_3^8 - 154221879549/1414990*c_0101_3^7 - 303912637903/1414990*c_0101_3^6 + 27258076287/1414990*c_0101_3^5 + 64071497823/707495*c_0101_3^4 + 4159296567/1414990*c_0101_3^3 - 2992785721/141499*c_0101_3^2 - 759952632/707495*c_0101_3 + 2923017597/1414990, c_0011_0 - 1, c_0011_4 + 5*c_0101_3^15 + 44*c_0101_3^14 - 16*c_0101_3^13 - 168*c_0101_3^12 + 37*c_0101_3^11 + 311*c_0101_3^10 - 4*c_0101_3^9 - 335*c_0101_3^8 - 77*c_0101_3^7 + 209*c_0101_3^6 + 91*c_0101_3^5 - 75*c_0101_3^4 - 46*c_0101_3^3 + 14*c_0101_3^2 + 10*c_0101_3 - 1, c_0011_5 - 122106495/282998*c_0101_3^15 - 995833671/282998*c_0101_3^14 + 516338741/141499*c_0101_3^13 + 1718886187/141499*c_0101_3^12 - 1560201788/141499*c_0101_3^11 - 2794531775/141499*c_0101_3^10 + 3703427347/282998*c_0101_3^9 + 2903284881/141499*c_0101_3^8 - 933804609/141499*c_0101_3^7 - 1958352430/141499*c_0101_3^6 + 303173065/282998*c_0101_3^5 + 1648481235/282998*c_0101_3^4 + 32153328/141499*c_0101_3^3 - 193668167/141499*c_0101_3^2 - 10431406/141499*c_0101_3 + 19252222/141499, c_0101_0 - 16443680/141499*c_0101_3^15 - 139548484/141499*c_0101_3^14 + 191831157/282998*c_0101_3^13 + 1034465723/282998*c_0101_3^12 - 291649079/141499*c_0101_3^11 - 905059657/141499*c_0101_3^10 + 321652046/141499*c_0101_3^9 + 942265433/141499*c_0101_3^8 - 163205491/282998*c_0101_3^7 - 600902575/141499*c_0101_3^6 - 65751242/141499*c_0101_3^5 + 237112935/141499*c_0101_3^4 + 91546087/282998*c_0101_3^3 - 107304439/282998*c_0101_3^2 - 8079188/141499*c_0101_3 + 5436677/141499, c_0101_1 - 132950105/282998*c_0101_3^15 - 544289777/141499*c_0101_3^14 + 1091502007/282998*c_0101_3^13 + 3797612101/282998*c_0101_3^12 - 1649146723/141499*c_0101_3^11 - 6245644963/282998*c_0101_3^10 + 3900348047/282998*c_0101_3^9 + 6513321941/282998*c_0101_3^8 - 950278647/141499*c_0101_3^7 - 4377003005/282998*c_0101_3^6 + 116412232/141499*c_0101_3^5 + 915330034/141499*c_0101_3^4 + 108469315/282998*c_0101_3^3 - 429030657/282998*c_0101_3^2 - 14456002/141499*c_0101_3 + 42759933/282998, c_0101_3^16 + 44/5*c_0101_3^15 - 16/5*c_0101_3^14 - 168/5*c_0101_3^13 + 37/5*c_0101_3^12 + 311/5*c_0101_3^11 - 4/5*c_0101_3^10 - 67*c_0101_3^9 - 77/5*c_0101_3^8 + 209/5*c_0101_3^7 + 91/5*c_0101_3^6 - 15*c_0101_3^5 - 46/5*c_0101_3^4 + 14/5*c_0101_3^3 + 11/5*c_0101_3^2 - 1/5*c_0101_3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB