Magma V2.19-8 Tue Aug 20 2013 23:38:46 on localhost [Seed = 1343632410] Type ? for help. Type -D to quit. Loading file "K12n120__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n120 geometric_solution 9.87594244 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 1 0 -1 0 -5 6 0 -1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023773272886 1.144288898733 0 5 2 5 0132 0132 1023 1023 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 -6 1 0 5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348381331039 0.514503926309 3 0 1 6 0132 0132 1023 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 -1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569843374012 1.055993070061 2 7 8 0 0132 0132 0132 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 1 -1 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.577086579810 1.244887068897 9 9 0 10 0132 1302 0132 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 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 0.709880985517 0.821976021296 7 1 10 1 0132 0132 1302 1023 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 5 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490074184850 0.495379716408 8 10 2 9 0132 0132 0132 1302 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 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 1.655363095644 0.902869655891 5 3 10 8 0132 0132 0132 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 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 0.285567304176 0.786763514001 6 9 7 3 0132 2103 0132 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 -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 0.170631485338 0.619540669492 4 8 6 4 0132 2103 2031 2031 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381829182875 1.081812693710 5 6 4 7 2031 0132 0132 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 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 0.577977883593 0.469147095452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : 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' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 277479124343013764/2407133958453*c_1100_0^16 - 1402402472673306707/1604755972302*c_1100_0^15 - 3852144065255101477/1604755972302*c_1100_0^14 - 10620202465324909459/2407133958453*c_1100_0^13 - 3248858618680289339/343876279779*c_1100_0^12 - 9289642380076660333/534918657434*c_1100_0^11 - 7210169469136592409/267459328717*c_1100_0^10 - 97112707580090523929/2407133958453*c_1100_0^9 - 121899816340809317056/2407133958453*c_1100_0^8 - 36773845893814643291/687752559558*c_1100_0^7 - 121687242618657905191/2407133958453*c_1100_0^6 - 187100018232099451201/4814267916906*c_1100_0^5 - 3915910965142393351/166009238514*c_1100_0^4 - 28353090572828747021/2407133958453*c_1100_0^3 - 17837009348992131091/4814267916906*c_1100_0^2 + 826696555839450257/4814267916906*c_1100_0 + 660601087409443420/2407133958453, c_0011_0 - 1, c_0011_10 - 183771016/50032923*c_1100_0^16 - 464239309/16677641*c_1100_0^15 - 1270207402/16677641*c_1100_0^14 - 6940444277/50032923*c_1100_0^13 - 14872828894/50032923*c_1100_0^12 - 9137187619/16677641*c_1100_0^11 - 14107757730/16677641*c_1100_0^10 - 63239781313/50032923*c_1100_0^9 - 79274222717/50032923*c_1100_0^8 - 83243093555/50032923*c_1100_0^7 - 78586665953/50032923*c_1100_0^6 - 60371452555/50032923*c_1100_0^5 - 36458396342/50032923*c_1100_0^4 - 18229125658/50032923*c_1100_0^3 - 5783813656/50032923*c_1100_0^2 + 311591486/50032923*c_1100_0 + 451420064/50032923, c_0011_4 + 54700463/16677641*c_1100_0^16 + 417165445/16677641*c_1100_0^15 + 1155413033/16677641*c_1100_0^14 + 2127851219/16677641*c_1100_0^13 + 4533974147/16677641*c_1100_0^12 + 8364102244/16677641*c_1100_0^11 + 12999546058/16677641*c_1100_0^10 + 19442370012/16677641*c_1100_0^9 + 24442151178/16677641*c_1100_0^8 + 25820307221/16677641*c_1100_0^7 + 24415120283/16677641*c_1100_0^6 + 18799913363/16677641*c_1100_0^5 + 11443109034/16677641*c_1100_0^4 + 5734305688/16677641*c_1100_0^3 + 1826680264/16677641*c_1100_0^2 - 51307182/16677641*c_1100_0 - 127852641/16677641, c_0101_0 - 39642005/16677641*c_1100_0^16 - 300434422/16677641*c_1100_0^15 - 829214628/16677641*c_1100_0^14 - 1545359165/16677641*c_1100_0^13 - 3306932284/16677641*c_1100_0^12 - 6033013492/16677641*c_1100_0^11 - 9425459034/16677641*c_1100_0^10 - 14161458857/16677641*c_1100_0^9 - 17731867051/16677641*c_1100_0^8 - 18780599928/16677641*c_1100_0^7 - 17708966441/16677641*c_1100_0^6 - 13422324904/16677641*c_1100_0^5 - 8043057159/16677641*c_1100_0^4 - 3878161184/16677641*c_1100_0^3 - 1071093627/16677641*c_1100_0^2 + 157702856/16677641*c_1100_0 + 114888224/16677641, c_0101_1 + 225287216/50032923*c_1100_0^16 + 566488917/16677641*c_1100_0^15 + 1542650041/16677641*c_1100_0^14 + 8441959609/50032923*c_1100_0^13 + 18096618155/50032923*c_1100_0^12 + 11062631822/16677641*c_1100_0^11 + 17131498728/16677641*c_1100_0^10 + 76667137538/50032923*c_1100_0^9 + 95753991931/50032923*c_1100_0^8 + 100629568345/50032923*c_1100_0^7 + 94589514550/50032923*c_1100_0^6 + 72274707359/50032923*c_1100_0^5 + 43596368440/50032923*c_1100_0^4 + 21567880442/50032923*c_1100_0^3 + 6730223033/50032923*c_1100_0^2 - 366100999/50032923*c_1100_0 - 512605891/50032923, c_0101_10 - 17054810/50032923*c_1100_0^16 - 35294809/16677641*c_1100_0^15 - 59989489/16677641*c_1100_0^14 - 181714852/50032923*c_1100_0^13 - 540325748/50032923*c_1100_0^12 - 236069663/16677641*c_1100_0^11 - 200601325/16677641*c_1100_0^10 - 740806019/50032923*c_1100_0^9 + 381508739/50032923*c_1100_0^8 + 1853175566/50032923*c_1100_0^7 + 2837775713/50032923*c_1100_0^6 + 4036645108/50032923*c_1100_0^5 + 3935120357/50032923*c_1100_0^4 + 2840848711/50032923*c_1100_0^3 + 1805969365/50032923*c_1100_0^2 + 789515677/50032923*c_1100_0 + 137586055/50032923, c_0101_3 + 88210636/16677641*c_1100_0^16 + 667686243/16677641*c_1100_0^15 + 1822083311/16677641*c_1100_0^14 + 3308301929/16677641*c_1100_0^13 + 7094775315/16677641*c_1100_0^12 + 13085750946/16677641*c_1100_0^11 + 20182673099/16677641*c_1100_0^10 + 30116978253/16677641*c_1100_0^9 + 37747410563/16677641*c_1100_0^8 + 39625760262/16677641*c_1100_0^7 + 37401448091/16677641*c_1100_0^6 + 28773780774/16677641*c_1100_0^5 + 17394043264/16677641*c_1100_0^4 + 8715026290/16677641*c_1100_0^3 + 2783548760/16677641*c_1100_0^2 - 134745716/16677641*c_1100_0 - 217362517/16677641, c_0101_7 + 114757582/50032923*c_1100_0^16 + 296329665/16677641*c_1100_0^15 + 846756240/16677641*c_1100_0^14 + 4828183931/50032923*c_1100_0^13 + 10188148594/50032923*c_1100_0^12 + 6276946121/16677641*c_1100_0^11 + 9911372958/16677641*c_1100_0^10 + 44687940916/50032923*c_1100_0^9 + 56846220413/50032923*c_1100_0^8 + 61019513753/50032923*c_1100_0^7 + 58077384632/50032923*c_1100_0^6 + 45262518526/50032923*c_1100_0^5 + 27956702945/50032923*c_1100_0^4 + 14097926107/50032923*c_1100_0^3 + 4586442160/50032923*c_1100_0^2 + 2107273/50032923*c_1100_0 - 252866093/50032923, c_1001_0 + 287318675/50032923*c_1100_0^16 + 725364387/16677641*c_1100_0^15 + 1991708170/16677641*c_1100_0^14 + 11022567145/50032923*c_1100_0^13 + 23696799554/50032923*c_1100_0^12 + 14515858738/16677641*c_1100_0^11 + 22553852659/16677641*c_1100_0^10 + 101585805446/50032923*c_1100_0^9 + 127965922657/50032923*c_1100_0^8 + 135785057092/50032923*c_1100_0^7 + 129260446108/50032923*c_1100_0^6 + 100203447302/50032923*c_1100_0^5 + 61490562487/50032923*c_1100_0^4 + 31205658626/50032923*c_1100_0^3 + 10147338350/50032923*c_1100_0^2 - 212851342/50032923*c_1100_0 - 659110783/50032923, c_1001_10 + 51854434/16677641*c_1100_0^16 + 396364515/16677641*c_1100_0^15 + 1106500802/16677641*c_1100_0^14 + 2067103721/16677641*c_1100_0^13 + 4413348732/16677641*c_1100_0^12 + 8153872375/16677641*c_1100_0^11 + 12777179115/16677641*c_1100_0^10 + 19189257052/16677641*c_1100_0^9 + 24379554191/16677641*c_1100_0^8 + 26146162343/16677641*c_1100_0^7 + 25080087878/16677641*c_1100_0^6 + 19813435869/16677641*c_1100_0^5 + 12510229835/16677641*c_1100_0^4 + 6568995457/16677641*c_1100_0^3 + 2363364875/16677641*c_1100_0^2 + 180001625/16677641*c_1100_0 - 78272988/16677641, c_1100_0^17 + 8*c_1100_0^16 + 24*c_1100_0^15 + 47*c_1100_0^14 + 98*c_1100_0^13 + 185*c_1100_0^12 + 297*c_1100_0^11 + 448*c_1100_0^10 + 586*c_1100_0^9 + 648*c_1100_0^8 + 633*c_1100_0^7 + 521*c_1100_0^6 + 346*c_1100_0^5 + 188*c_1100_0^4 + 75*c_1100_0^3 + 12*c_1100_0^2 - 3*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB