Magma V2.19-8 Tue Aug 20 2013 23:38:15 on localhost [Seed = 2901067916] Type ? for help. Type -D to quit. Loading file "K12a1214__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12a1214 geometric_solution 8.52437743 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750404691497 1.687075824270 0 5 5 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 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 -18 0 0 18 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166950114604 0.554017289304 4 0 3 5 0213 0132 0213 2103 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 -19 19 0 18 0 -18 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779896858633 0.494840574499 7 2 6 0 0132 0213 0213 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 0 0 0 0 0 0 0 -19 19 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029492167136 1.192235249771 2 8 0 9 0213 0132 0132 0132 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 18 1 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029492167136 1.192235249771 1 1 8 2 2031 0132 0132 2103 0 0 0 0 0 0 1 -1 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 -18 18 0 0 19 -19 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501354910527 1.654733819438 7 3 1 8 1230 0213 0132 1230 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 0 0 0 0 0 0 0 0 18 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.498645089473 1.654733819438 3 6 7 7 0132 3012 2031 1302 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 -18 -1 19 0 0 -19 19 -1 0 0 1 19 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519172943248 0.404385601901 6 4 9 5 3012 0132 2031 0132 0 0 0 0 0 1 0 -1 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 -18 0 18 0 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300686335991 0.332003789758 9 9 4 8 1302 2031 0132 1302 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 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519172943248 0.404385601901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_9']), 'c_1001_8' : negation(d['c_0110_9']), 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0011_9']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0110_5']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0110_9']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_5, c_0101_8, c_0110_5, c_0110_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 4303/24500*c_1001_2^6 - 3607/12250*c_1001_2^5 + 7569/24500*c_1001_2^4 - 15599/24500*c_1001_2^3 + 271/875*c_1001_2^2 - 4593/12250*c_1001_2 + 1452/6125, c_0011_0 - 1, c_0011_3 - 1/2*c_1001_2^6 + c_1001_2^5 - 3/2*c_1001_2^4 + 1/2*c_1001_2^3 + 1, c_0011_6 - 1/2*c_1001_2^6 + c_1001_2^5 - 5/2*c_1001_2^4 + 5/2*c_1001_2^3 - 4*c_1001_2^2 + 2*c_1001_2 - 1, c_0011_9 + 1/2*c_1001_2^6 - 3/2*c_1001_2^5 + 7/2*c_1001_2^4 - 4*c_1001_2^3 + 9/2*c_1001_2^2 - 3*c_1001_2 + 2, c_0101_0 - 1/2*c_1001_2^6 + 3/2*c_1001_2^5 - 7/2*c_1001_2^4 + 4*c_1001_2^3 - 9/2*c_1001_2^2 + 3*c_1001_2 - 2, c_0101_5 + 1/2*c_1001_2^6 - 3/2*c_1001_2^5 + 7/2*c_1001_2^4 - 4*c_1001_2^3 + 9/2*c_1001_2^2 - 4*c_1001_2 + 2, c_0101_8 - 1/2*c_1001_2^6 + c_1001_2^5 - 3/2*c_1001_2^4 + 1/2*c_1001_2^3 + 1, c_0110_5 + 1, c_0110_9 + 1/2*c_1001_2^6 - c_1001_2^5 + 5/2*c_1001_2^4 - 5/2*c_1001_2^3 + 4*c_1001_2^2 - 2*c_1001_2 + 1, c_1001_2^7 - 2*c_1001_2^6 + 5*c_1001_2^5 - 5*c_1001_2^4 + 8*c_1001_2^3 - 6*c_1001_2^2 + 4*c_1001_2 - 4 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_5, c_0101_8, c_0110_5, c_0110_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3309661528442152037/3509869684928532*c_1001_2^17 - 5100380308415087125/10529609054785596*c_1001_2^16 + 1505452318440139595/1169956561642844*c_1001_2^15 - 5171760617058685549/2632402263696399*c_1001_2^14 - 16051018937228438015/10529609054785596*c_1001_2^13 - 80667767720196337543/10529609054785596*c_1001_2^12 - 21326641629589830407/2632402263696399*c_1001_2^11 - 33690195299812812285/1169956561642844*c_1001_2^10 + 441748150834431426533/10529609054785596*c_1001_2^9 - 69927663587048428567/2632402263696399*c_1001_2^8 + 800455706936298696061/10529609054785596*c_1001_2^7 + 212618271492238708355/10529609054785596*c_1001_2^6 + 48342529238270441813/10529609054785596*c_1001_2^5 + 215373210742233829249/10529609054785596*c_1001_2^4 - 49682842388363984391/1169956561642844*c_1001_2^3 - 32303416063352146663/1754934842464266*c_1001_2^2 - 64063293722796912989/3509869684928532*c_1001_2 - 76572978089601765359/5264804527392798, c_0011_0 - 1, c_0011_3 + 191687389053/2839700392337*c_1001_2^17 - 299484618155/2839700392337*c_1001_2^16 - 338284830504/2839700392337*c_1001_2^15 + 1008590919270/2839700392337*c_1001_2^14 - 582888432728/2839700392337*c_1001_2^13 + 1152608992923/2839700392337*c_1001_2^12 - 1585287181723/2839700392337*c_1001_2^11 + 3754050703301/2839700392337*c_1001_2^10 - 19591777730414/2839700392337*c_1001_2^9 + 27905267563851/2839700392337*c_1001_2^8 - 31905031675991/2839700392337*c_1001_2^7 + 34015558299260/2839700392337*c_1001_2^6 - 11284339720886/2839700392337*c_1001_2^5 + 1664789508615/2839700392337*c_1001_2^4 + 6739309343378/2839700392337*c_1001_2^3 - 9674480758018/2839700392337*c_1001_2^2 + 3504725913631/2839700392337*c_1001_2 - 2891511643867/2839700392337, c_0011_6 + 47828834878/2839700392337*c_1001_2^17 - 1297752915/2839700392337*c_1001_2^16 + 98533629828/2839700392337*c_1001_2^15 - 121533200404/2839700392337*c_1001_2^14 - 328814541342/2839700392337*c_1001_2^13 + 1496603952546/2839700392337*c_1001_2^12 - 134602187095/2839700392337*c_1001_2^11 + 1669343709576/2839700392337*c_1001_2^10 - 3782021190023/2839700392337*c_1001_2^9 + 6586427707375/2839700392337*c_1001_2^8 - 20363681939637/2839700392337*c_1001_2^7 + 25530542668794/2839700392337*c_1001_2^6 - 19971095698114/2839700392337*c_1001_2^5 + 13630949912722/2839700392337*c_1001_2^4 + 3784827684104/2839700392337*c_1001_2^3 - 13108054379565/2839700392337*c_1001_2^2 + 7037703174377/2839700392337*c_1001_2 - 4237562041211/2839700392337, c_0011_9 + 248305761935/2839700392337*c_1001_2^17 - 227603966434/2839700392337*c_1001_2^16 + 275791200/2839700392337*c_1001_2^15 + 1223400785276/2839700392337*c_1001_2^14 - 1010316656340/2839700392337*c_1001_2^13 + 2671592531659/2839700392337*c_1001_2^12 + 159450646269/2839700392337*c_1001_2^11 + 8873598719099/2839700392337*c_1001_2^10 - 17765647886740/2839700392337*c_1001_2^9 + 39864202164107/2839700392337*c_1001_2^8 - 53179123047286/2839700392337*c_1001_2^7 + 43863172897578/2839700392337*c_1001_2^6 - 35558129937842/2839700392337*c_1001_2^5 - 29241376775/2839700392337*c_1001_2^4 + 8033292951966/2839700392337*c_1001_2^3 - 12614825935574/2839700392337*c_1001_2^2 + 9581723896672/2839700392337*c_1001_2 - 1578252757715/2839700392337, c_0101_0 + 918778328243/5679400784674*c_1001_2^17 - 337759332793/5679400784674*c_1001_2^16 - 548927193493/5679400784674*c_1001_2^15 + 926850563232/2839700392337*c_1001_2^14 - 2307441506147/5679400784674*c_1001_2^13 + 11856282799395/5679400784674*c_1001_2^12 - 151631682392/2839700392337*c_1001_2^11 + 25838014874193/5679400784674*c_1001_2^10 - 68985834431499/5679400784674*c_1001_2^9 + 43934634135688/2839700392337*c_1001_2^8 - 191648119958839/5679400784674*c_1001_2^7 + 169069172665365/5679400784674*c_1001_2^6 - 123331199294041/5679400784674*c_1001_2^5 + 69823706503159/5679400784674*c_1001_2^4 + 47897667701047/5679400784674*c_1001_2^3 - 23338637486916/2839700392337*c_1001_2^2 + 48850289747393/5679400784674*c_1001_2 - 10443849727543/2839700392337, c_0101_5 + 25905625765/5679400784674*c_1001_2^17 + 357469152341/5679400784674*c_1001_2^16 - 624874862075/5679400784674*c_1001_2^15 - 286473578974/2839700392337*c_1001_2^14 + 1939464961245/5679400784674*c_1001_2^13 - 932626233571/5679400784674*c_1001_2^12 + 1100797741393/2839700392337*c_1001_2^11 - 2471122467791/5679400784674*c_1001_2^10 + 5254311965047/5679400784674*c_1001_2^9 - 17933817681454/2839700392337*c_1001_2^8 + 50758938103527/5679400784674*c_1001_2^7 - 59172956340047/5679400784674*c_1001_2^6 + 65051969635545/5679400784674*c_1001_2^5 - 21195681276227/5679400784674*c_1001_2^4 + 4080842164415/5679400784674*c_1001_2^3 + 6195291202313/2839700392337*c_1001_2^2 - 24069854147405/5679400784674*c_1001_2 + 3219764030216/2839700392337, c_0101_8 - 191784280331/5679400784674*c_1001_2^17 - 920245023505/5679400784674*c_1001_2^16 + 1118745217019/5679400784674*c_1001_2^15 + 691380347436/2839700392337*c_1001_2^14 - 4991828012835/5679400784674*c_1001_2^13 - 1136158774825/5679400784674*c_1001_2^12 - 1753406904958/2839700392337*c_1001_2^11 - 4037009281059/5679400784674*c_1001_2^10 - 11060378263441/5679400784674*c_1001_2^9 + 30657408217440/2839700392337*c_1001_2^8 - 72882241384259/5679400784674*c_1001_2^7 + 74337361883373/5679400784674*c_1001_2^6 - 32450970235983/5679400784674*c_1001_2^5 - 14565539123207/5679400784674*c_1001_2^4 + 28805043653209/5679400784674*c_1001_2^3 - 13016610187893/2839700392337*c_1001_2^2 + 4589661476241/5679400784674*c_1001_2 + 784805311371/2839700392337, c_0110_5 - 389234715119/5679400784674*c_1001_2^17 + 550393888755/5679400784674*c_1001_2^16 + 702666969489/5679400784674*c_1001_2^15 - 915827086727/2839700392337*c_1001_2^14 + 1404550167627/5679400784674*c_1001_2^13 - 2235691173363/5679400784674*c_1001_2^12 + 1237906899142/2839700392337*c_1001_2^11 - 6910870844583/5679400784674*c_1001_2^10 + 40794736007169/5679400784674*c_1001_2^9 - 24414235241713/2839700392337*c_1001_2^8 + 68274389474391/5679400784674*c_1001_2^7 - 56665670337277/5679400784674*c_1001_2^6 + 11322515129703/5679400784674*c_1001_2^5 - 6687557058793/5679400784674*c_1001_2^4 - 20716458465583/5679400784674*c_1001_2^3 + 5588864386692/2839700392337*c_1001_2^2 - 3915085242501/5679400784674*c_1001_2 + 1052751345115/2839700392337, c_0110_9 + 720161366979/5679400784674*c_1001_2^17 + 871081590533/5679400784674*c_1001_2^16 - 1769165805175/5679400784674*c_1001_2^15 + 152783026323/2839700392337*c_1001_2^14 + 4671886359229/5679400784674*c_1001_2^13 + 5477190792089/5679400784674*c_1001_2^12 + 3361035575201/2839700392337*c_1001_2^11 + 18715853689447/5679400784674*c_1001_2^10 - 20827786091333/5679400784674*c_1001_2^9 - 12218056056925/2839700392337*c_1001_2^8 + 12818607270805/5679400784674*c_1001_2^7 - 57149418689507/5679400784674*c_1001_2^6 + 37632844307913/5679400784674*c_1001_2^5 - 3330646865007/5679400784674*c_1001_2^4 - 1419775806035/5679400784674*c_1001_2^3 + 7842991433621/2839700392337*c_1001_2^2 - 6911033630389/5679400784674*c_1001_2 - 144234132455/2839700392337, c_1001_2^18 - c_1001_2^17 - c_1001_2^16 + 4*c_1001_2^15 - 3*c_1001_2^14 + 9*c_1001_2^13 - 4*c_1001_2^12 + 27*c_1001_2^11 - 87*c_1001_2^10 + 128*c_1001_2^9 - 195*c_1001_2^8 + 179*c_1001_2^7 - 115*c_1001_2^6 + 53*c_1001_2^5 + 29*c_1001_2^4 - 42*c_1001_2^3 + 37*c_1001_2^2 - 22*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB