Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 2050746130] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3172 geometric_solution 6.32015376 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 1 -2 -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 0.645702120901 0.502354377037 0 5 3 5 0132 0132 0213 2103 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 0 -1 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 0.503342349976 0.606363511917 2 0 2 5 2031 0132 1302 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 -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 1.216051609794 1.058849557813 6 1 4 0 0132 0213 2031 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 0 1 -1 0 0 1 -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 0.537927753932 0.882957128238 6 6 0 3 1302 2310 0132 1302 0 0 0 0 0 -1 1 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 -1 2 -1 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 1.487596964518 1.166792582544 2 1 6 1 3201 0132 3120 2103 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020399858632 0.644386438340 3 4 5 4 0132 2031 3120 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 -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 0.808433732879 0.987007282375 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0101_0, c_0101_3, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 170866010987108/278261862741*c_0110_5^15 - 377948338619512/92753954247*c_0110_5^14 - 1575354224817157/278261862741*c_0110_5^13 + 4465685726120146/278261862741*c_0110_5^12 + 12749334965222063/278261862741*c_0110_5^11 - 2252478771907687/92753954247*c_0110_5^10 - 45130318898927494/278261862741*c_0110_5^9 + 1083022197179325/30917984749*c_0110_5^8 + 94694992229422741/278261862741*c_0110_5^7 - 44015935174306076/278261862741*c_0110_5^6 - 102463131280683263/278261862741*c_0110_5^5 + 96141380958057070/278261862741*c_0110_5^4 + 7896008537597626/92753954247*c_0110_5^3 - 21800753193030686/92753954247*c_0110_5^2 + 9037291144628272/92753954247*c_0110_5 - 2420301564680780/278261862741, c_0011_0 - 1, c_0011_3 - 241003026361/154589923745*c_0110_5^15 - 320537315469/30917984749*c_0110_5^14 - 448017225635/30917984749*c_0110_5^13 + 6306718604452/154589923745*c_0110_5^12 + 18182256310396/154589923745*c_0110_5^11 - 9241657315108/154589923745*c_0110_5^10 - 64184201186581/154589923745*c_0110_5^9 + 12321628682971/154589923745*c_0110_5^8 + 134474022645277/154589923745*c_0110_5^7 - 58779800016107/154589923745*c_0110_5^6 - 146349670547604/154589923745*c_0110_5^5 + 132086356236773/154589923745*c_0110_5^4 + 36482545198648/154589923745*c_0110_5^3 - 91317102455064/154589923745*c_0110_5^2 + 36354723926211/154589923745*c_0110_5 - 2924955422071/154589923745, c_0011_4 - 87014974/61811245*c_0110_5^15 - 115630851/12362249*c_0110_5^14 - 162280934/12362249*c_0110_5^13 + 2239320188/61811245*c_0110_5^12 + 6468191269/61811245*c_0110_5^11 - 3308496697/61811245*c_0110_5^10 - 22740385359/61811245*c_0110_5^9 + 4719349269/61811245*c_0110_5^8 + 47465404443/61811245*c_0110_5^7 - 21951409643/61811245*c_0110_5^6 - 51068372536/61811245*c_0110_5^5 + 47883828742/61811245*c_0110_5^4 + 11643917887/61811245*c_0110_5^3 - 32288811681/61811245*c_0110_5^2 + 13413200574/61811245*c_0110_5 - 1256120684/61811245, c_0101_0 - 150734446198/154589923745*c_0110_5^15 - 202157922478/30917984749*c_0110_5^14 - 295514511258/30917984749*c_0110_5^13 + 3716100710571/154589923745*c_0110_5^12 + 11291162278863/154589923745*c_0110_5^11 - 4887751934624/154589923745*c_0110_5^10 - 38869669995033/154589923745*c_0110_5^9 + 6011048754913/154589923745*c_0110_5^8 + 80287430204646/154589923745*c_0110_5^7 - 34148187462106/154589923745*c_0110_5^6 - 86274243903852/154589923745*c_0110_5^5 + 78095185054999/154589923745*c_0110_5^4 + 20170556966809/154589923745*c_0110_5^3 - 52945182025157/154589923745*c_0110_5^2 + 22050010551238/154589923745*c_0110_5 - 2258739687278/154589923745, c_0101_3 - 94590226241/154589923745*c_0110_5^15 - 124284355961/30917984749*c_0110_5^14 - 166292147143/30917984749*c_0110_5^13 + 2537494496247/154589923745*c_0110_5^12 + 6972480932036/154589923745*c_0110_5^11 - 4069721807963/154589923745*c_0110_5^10 - 24965555224711/154589923745*c_0110_5^9 + 6214298083431/154589923745*c_0110_5^8 + 52296116797567/154589923745*c_0110_5^7 - 25189174464282/154589923745*c_0110_5^6 - 55693556551214/154589923745*c_0110_5^5 + 52337773580278/154589923745*c_0110_5^4 + 12739516914198/154589923745*c_0110_5^3 - 34418612337119/154589923745*c_0110_5^2 + 13379499207366/154589923745*c_0110_5 - 863567989346/154589923745, c_0110_4 - 267606021846/154589923745*c_0110_5^15 - 358008757333/30917984749*c_0110_5^14 - 514395830257/30917984749*c_0110_5^13 + 6775008567782/154589923745*c_0110_5^12 + 20105115161541/154589923745*c_0110_5^11 - 9513059088963/154589923745*c_0110_5^10 - 70191835069196/154589923745*c_0110_5^9 + 12529480713246/154589923745*c_0110_5^8 + 146635976340567/154589923745*c_0110_5^7 - 64416253874817/154589923745*c_0110_5^6 - 159488443092684/154589923745*c_0110_5^5 + 146143461707233/154589923745*c_0110_5^4 + 37992099855333/154589923745*c_0110_5^3 - 100625103503089/154589923745*c_0110_5^2 + 41891318155961/154589923745*c_0110_5 - 4016972329036/154589923745, c_0110_5^16 + 6*c_0110_5^15 + 5*c_0110_5^14 - 32*c_0110_5^13 - 58*c_0110_5^12 + 87*c_0110_5^11 + 239*c_0110_5^10 - 225*c_0110_5^9 - 518*c_0110_5^8 + 610*c_0110_5^7 + 436*c_0110_5^6 - 944*c_0110_5^5 + 219*c_0110_5^4 + 471*c_0110_5^3 - 402*c_0110_5^2 + 115*c_0110_5 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB