Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 1646526052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s618 geometric_solution 5.10315397 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 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 0.641955558730 0.873996772721 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 1 -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 0 0 0 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 0.973223108511 0.825927572279 4 3 0 1 2310 3201 0132 3012 0 0 0 0 0 -1 1 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 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 0.973223108511 0.825927572279 1 5 2 5 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807306277051 0.471645983801 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586642225945 0.754758372841 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 0.591018723930 0.147702911894 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_1, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 16043729/55375*c_0110_5^12 - 71903369/55375*c_0110_5^11 + 125761357/55375*c_0110_5^10 + 349099171/55375*c_0110_5^9 - 553931333/55375*c_0110_5^8 + 200420262/11075*c_0110_5^7 - 1874911743/55375*c_0110_5^6 + 1535291907/55375*c_0110_5^5 - 976383479/55375*c_0110_5^4 + 550140953/55375*c_0110_5^3 - 3000897/55375*c_0110_5^2 - 133934536/55375*c_0110_5 + 34835972/55375, c_0011_0 - 1, c_0011_1 - 2527754/11075*c_0110_5^12 - 11311569/11075*c_0110_5^11 + 19900557/11075*c_0110_5^10 + 54928521/11075*c_0110_5^9 - 87636558/11075*c_0110_5^8 + 31636102/2215*c_0110_5^7 - 296553593/11075*c_0110_5^6 + 243608932/11075*c_0110_5^5 - 155183779/11075*c_0110_5^4 + 88309428/11075*c_0110_5^3 - 1198897/11075*c_0110_5^2 - 20718611/11075*c_0110_5 + 5360397/11075, c_0101_1 - 2832643/11075*c_0110_5^12 - 12657773/11075*c_0110_5^11 + 22391844/11075*c_0110_5^10 + 61459182/11075*c_0110_5^9 - 98652786/11075*c_0110_5^8 + 35530859/2215*c_0110_5^7 - 333244256/11075*c_0110_5^6 + 274617819/11075*c_0110_5^5 - 174769768/11075*c_0110_5^4 + 99572201/11075*c_0110_5^3 - 1618424/11075*c_0110_5^2 - 23363462/11075*c_0110_5 + 6083374/11075, c_0101_2 - 12953/443*c_0110_5^12 - 280599/2215*c_0110_5^11 + 556098/2215*c_0110_5^10 + 1359593/2215*c_0110_5^9 - 2471353/2215*c_0110_5^8 + 4250871/2215*c_0110_5^7 - 8068838/2215*c_0110_5^6 + 7072636/2215*c_0110_5^5 - 4421846/2215*c_0110_5^4 + 2592539/2215*c_0110_5^3 - 181154/2215*c_0110_5^2 - 120651/443*c_0110_5 + 173429/2215, c_0101_4 - 695972/11075*c_0110_5^12 - 3019787/11075*c_0110_5^11 + 5947966/11075*c_0110_5^10 + 14601968/11075*c_0110_5^9 - 26434634/11075*c_0110_5^8 + 9146717/2215*c_0110_5^7 - 86535414/11075*c_0110_5^6 + 75851056/11075*c_0110_5^5 - 47658527/11075*c_0110_5^4 + 27771499/11075*c_0110_5^3 - 1985641/11075*c_0110_5^2 - 6456548/11075*c_0110_5 + 1898791/11075, c_0110_5^13 + 4*c_0110_5^12 - 10*c_0110_5^11 - 18*c_0110_5^10 + 45*c_0110_5^9 - 79*c_0110_5^8 + 147*c_0110_5^7 - 152*c_0110_5^6 + 107*c_0110_5^5 - 64*c_0110_5^4 + 17*c_0110_5^3 + 8*c_0110_5^2 - 6*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB