Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 3600239339] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s027 geometric_solution 3.56333366 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 2.292358028340 0.125203646195 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.227715253721 0.607028357262 1 1 3 3 2310 0132 0132 3201 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 -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 0.150834336397 0.176559153256 4 2 5 2 0132 2310 0132 0132 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 -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 0.800848679092 1.911198572764 3 5 5 5 0132 3201 0213 2310 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 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 0.035146089585 1.000814546768 4 4 4 3 3201 0213 2310 0132 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 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 0.035146089585 1.000814546768 ==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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3861983340/318286069*c_0101_3^13 - 42822226801/318286069*c_0101_3^12 + 173808420734/318286069*c_0101_3^11 - 294470558192/318286069*c_0101_3^10 + 130110773974/318286069*c_0101_3^9 + 139253718726/318286069*c_0101_3^8 - 163517170031/318286069*c_0101_3^7 + 32322340028/318286069*c_0101_3^6 + 249082362129/318286069*c_0101_3^5 + 37560148437/318286069*c_0101_3^4 - 108758146777/318286069*c_0101_3^3 - 96073231990/318286069*c_0101_3^2 + 6419592842/318286069*c_0101_3 + 20553140492/318286069, c_0011_0 - 1, c_0011_3 - 67977474/318286069*c_0101_3^13 + 749138344/318286069*c_0101_3^12 - 3027950505/318286069*c_0101_3^11 + 5185560616/318286069*c_0101_3^10 - 2753192889/318286069*c_0101_3^9 - 1267949584/318286069*c_0101_3^8 + 1963771578/318286069*c_0101_3^7 - 417126945/318286069*c_0101_3^6 - 4210602150/318286069*c_0101_3^5 - 1059794768/318286069*c_0101_3^4 + 1155777856/318286069*c_0101_3^3 + 1290305164/318286069*c_0101_3^2 - 144921282/318286069*c_0101_3 + 19861404/318286069, c_0011_5 - 4315539/318286069*c_0101_3^13 + 49662896/318286069*c_0101_3^12 - 237225387/318286069*c_0101_3^11 + 658581701/318286069*c_0101_3^10 - 1277237109/318286069*c_0101_3^9 + 1646188030/318286069*c_0101_3^8 - 867091094/318286069*c_0101_3^7 - 309020275/318286069*c_0101_3^6 + 536759519/318286069*c_0101_3^5 - 281698612/318286069*c_0101_3^4 - 1055716733/318286069*c_0101_3^3 - 136352053/318286069*c_0101_3^2 + 139870765/318286069*c_0101_3 + 172792730/318286069, c_0101_0 + 78516690/318286069*c_0101_3^13 - 906436526/318286069*c_0101_3^12 + 3922163073/318286069*c_0101_3^11 - 7500278802/318286069*c_0101_3^10 + 4978328834/318286069*c_0101_3^9 + 2260864782/318286069*c_0101_3^8 - 4844500563/318286069*c_0101_3^7 + 2025318679/318286069*c_0101_3^6 + 4834178442/318286069*c_0101_3^5 - 1643462127/318286069*c_0101_3^4 - 3112172783/318286069*c_0101_3^3 - 1664309866/318286069*c_0101_3^2 + 1096631625/318286069*c_0101_3 + 606639828/318286069, c_0101_1 + 127503810/318286069*c_0101_3^13 - 1454244954/318286069*c_0101_3^12 + 6188000950/318286069*c_0101_3^11 - 11570802063/318286069*c_0101_3^10 + 7598620770/318286069*c_0101_3^9 + 2477545563/318286069*c_0101_3^8 - 5561630299/318286069*c_0101_3^7 + 1654438483/318286069*c_0101_3^6 + 8343612040/318286069*c_0101_3^5 - 1167073818/318286069*c_0101_3^4 - 4156035214/318286069*c_0101_3^3 - 2323548685/318286069*c_0101_3^2 + 1301137335/318286069*c_0101_3 + 539923434/318286069, c_0101_3^14 - 11*c_0101_3^13 + 44*c_0101_3^12 - 72*c_0101_3^11 + 26*c_0101_3^10 + 40*c_0101_3^9 - 38*c_0101_3^8 + 2*c_0101_3^7 + 67*c_0101_3^6 + 15*c_0101_3^5 - 29*c_0101_3^4 - 29*c_0101_3^3 + 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB