Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 2378961145] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2899 geometric_solution 6.10565365 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 1.599084601228 1.413036172625 0 3 3 0 0132 0132 3201 3201 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 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160173224511 0.658738039625 0 4 4 0 3201 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406745017340 0.515344040014 1 1 5 5 2310 0132 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.368753845949 0.950616927050 6 2 2 6 0132 0132 1023 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377078408250 1.008512823799 6 3 6 3 2310 2310 0132 0132 0 0 0 0 0 0 -1 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 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 0.065130048343 1.020544789463 4 4 5 5 0132 2310 3201 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225271649119 0.910377966036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(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_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 89584293275/793254896*c_0101_4^16 + 183792930463/198313724*c_0101_4^14 + 937278239495/396627448*c_0101_4^12 + 195360106531/99156862*c_0101_4^10 + 826349892371/793254896*c_0101_4^8 + 888947777247/793254896*c_0101_4^6 + 103277500127/396627448*c_0101_4^4 + 214173010131/793254896*c_0101_4^2 + 2620177439/198313724, c_0011_0 - 1, c_0011_2 - 1552147425/793254896*c_0101_4^16 - 787313539/49578431*c_0101_4^14 - 15601919251/396627448*c_0101_4^12 - 5989618437/198313724*c_0101_4^10 - 13354279773/793254896*c_0101_4^8 - 16532194197/793254896*c_0101_4^6 - 1592877123/396627448*c_0101_4^4 - 3668370701/793254896*c_0101_4^2 - 111221335/198313724, c_0011_5 + 13857875/198313724*c_0101_4^16 - 16445195/198313724*c_0101_4^14 - 562018649/198313724*c_0101_4^12 - 1364906047/198313724*c_0101_4^10 - 339208435/99156862*c_0101_4^8 - 83106099/198313724*c_0101_4^6 - 315217137/198313724*c_0101_4^4 + 94566669/99156862*c_0101_4^2 + 41113291/99156862, c_0101_0 + 12237657825/793254896*c_0101_4^17 + 25792462649/198313724*c_0101_4^15 + 139362229135/396627448*c_0101_4^13 + 67921614821/198313724*c_0101_4^11 + 161962398293/793254896*c_0101_4^9 + 147674986961/793254896*c_0101_4^7 + 27783810149/396627448*c_0101_4^5 + 34274736877/793254896*c_0101_4^3 + 884726107/99156862*c_0101_4, c_0101_1 + 1184736475/396627448*c_0101_4^17 + 2573347957/99156862*c_0101_4^15 + 7377725399/99156862*c_0101_4^13 + 16386268597/198313724*c_0101_4^11 + 20828112757/396627448*c_0101_4^9 + 16223551325/396627448*c_0101_4^7 + 3803019727/198313724*c_0101_4^5 + 3451901905/396627448*c_0101_4^3 + 541236861/198313724*c_0101_4, c_0101_3 + 5682711925/793254896*c_0101_4^17 + 2989326474/49578431*c_0101_4^15 + 64361537645/396627448*c_0101_4^13 + 15651175481/99156862*c_0101_4^11 + 78098811685/793254896*c_0101_4^9 + 71673124869/793254896*c_0101_4^7 + 12821033303/396627448*c_0101_4^5 + 18056916429/793254896*c_0101_4^3 + 474510937/99156862*c_0101_4, c_0101_4^18 + 217/25*c_0101_4^16 + 622/25*c_0101_4^14 + 698/25*c_0101_4^12 + 473/25*c_0101_4^10 + 386/25*c_0101_4^8 + 187/25*c_0101_4^6 + 99/25*c_0101_4^4 + 33/25*c_0101_4^2 + 4/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB