Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 896837904] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s116 geometric_solution 4.04687940 oriented_manifold CS_known 0.0000000000000000 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 -1 1 -1 0 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 2.002557139975 0.460489048059 0 2 3 0 0132 0132 0132 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 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 0.231112005956 1.031237888062 4 1 3 3 0132 0132 1302 2031 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 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 0.315298120604 0.326453790841 2 2 4 1 2031 1302 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 1 0 -1 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315298120604 0.326453790841 2 3 5 5 0132 3201 2310 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 -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 -0.379034584413 2.081154288622 5 4 4 5 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 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 -0.440467584555 0.527934287682 ==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_0011_5'], '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_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), '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_0']), '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 517760761/21498518*c_0101_4^8 - 1248485423/21498518*c_0101_4^7 + 368613747/10749259*c_0101_4^6 + 277408370/10749259*c_0101_4^5 - 2127491128/10749259*c_0101_4^4 + 5352704405/21498518*c_0101_4^3 - 5682330567/21498518*c_0101_4^2 + 2294113629/21498518*c_0101_4 - 1064597849/21498518, c_0011_0 - 1, c_0011_3 + 2504327/21498518*c_0101_4^8 - 14491289/21498518*c_0101_4^7 + 10396586/10749259*c_0101_4^6 + 1337047/10749259*c_0101_4^5 - 17862219/10749259*c_0101_4^4 + 76955921/21498518*c_0101_4^3 - 87324141/21498518*c_0101_4^2 + 55841139/21498518*c_0101_4 - 17804099/21498518, c_0011_5 - 8786225/21498518*c_0101_4^8 + 7495996/10749259*c_0101_4^7 - 936979/10749259*c_0101_4^6 - 2563007/10749259*c_0101_4^5 + 29661988/10749259*c_0101_4^4 - 52469029/21498518*c_0101_4^3 + 28844373/10749259*c_0101_4^2 - 25226881/21498518*c_0101_4 + 9459826/10749259, c_0101_0 - 7655452/10749259*c_0101_4^8 + 47510045/21498518*c_0101_4^7 - 21686716/10749259*c_0101_4^6 - 7324472/10749259*c_0101_4^5 + 77981232/10749259*c_0101_4^4 - 122957711/10749259*c_0101_4^3 + 221460227/21498518*c_0101_4^2 - 52666585/10749259*c_0101_4 + 11330985/21498518, c_0101_1 + 7808871/21498518*c_0101_4^8 - 25246299/21498518*c_0101_4^7 + 6385893/10749259*c_0101_4^6 + 12806266/10749259*c_0101_4^5 - 33576997/10749259*c_0101_4^4 + 107266013/21498518*c_0101_4^3 - 68104007/21498518*c_0101_4^2 + 32023031/21498518*c_0101_4 + 11649857/21498518, c_0101_4^9 - 17/7*c_0101_4^8 + 11/7*c_0101_4^7 + 6/7*c_0101_4^6 - 58/7*c_0101_4^5 + 75/7*c_0101_4^4 - 83/7*c_0101_4^3 + 36/7*c_0101_4^2 - 17/7*c_0101_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB