Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 1983375964] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0069 geometric_solution 3.62371598 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 2.311286644092 0.050634438682 0 2 2 0 3201 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.348606963895 0.249801539114 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.216440264604 0.077636815403 4 2 5 2 0132 2310 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.275141725945 0.908628690084 3 5 6 6 0132 3201 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.987432158027 1.962159854122 6 6 4 3 2103 1023 2310 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987432158027 1.962159854122 5 4 5 4 1023 0321 2103 0132 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 -1 1 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 0.795354816278 0.406657369394 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 28761064549887931376021/4006667557696493235168*c_0101_5^16 + 280883654646375543612799/4006667557696493235168*c_0101_5^15 - 25342909830290323076825/143095269917731901256*c_0101_5^14 + 3930143314132142900206445/4006667557696493235168*c_0101_5^13 - 1855665102375758760465095/1335555852565497745056*c_0101_5^12 + 7113857824106881629487261/1335555852565497745056*c_0101_5^11 - 5103791850927487941176077/1001666889424123308792*c_0101_5^10 + 18326684402152427215026937/1335555852565497745056*c_0101_5^9 - 7099294573055303029602095/667777926282748872528*c_0101_5^8 + 67796173657700407300690919/4006667557696493235168*c_0101_5^7 - 24847068849833784638245939/2003333778848246617584*c_0101_5^6 + 37736512582125344373616897/4006667557696493235168*c_0101_5^5 - 30105999403849913422738579/4006667557696493235168*c_0101_5^4 + 7349932447622259738575329/4006667557696493235168*c_0101_5^3 - 1994449679328387357842273/1001666889424123308792*c_0101_5^2 + 93082565045898032907535/1335555852565497745056*c_0101_5 - 56799850348420571505979/500833444712061654396, c_0011_0 - 1, c_0011_1 - 1054074436134496585/3974868608825886146*c_0101_5^16 + 8939583525512854429/3974868608825886146*c_0101_5^15 - 6973131504247782032/1987434304412943073*c_0101_5^14 + 121079686516087655661/3974868608825886146*c_0101_5^13 - 39182333975709889419/3974868608825886146*c_0101_5^12 + 662754634309347514703/3974868608825886146*c_0101_5^11 + 74170906166678600244/1987434304412943073*c_0101_5^10 + 1826694257441619383031/3974868608825886146*c_0101_5^9 + 419210475935526451653/1987434304412943073*c_0101_5^8 + 2530209936020059450665/3974868608825886146*c_0101_5^7 + 673188001000005217756/1987434304412943073*c_0101_5^6 + 1714198032378686328295/3974868608825886146*c_0101_5^5 + 895743693660259770905/3974868608825886146*c_0101_5^4 + 500823820638808223625/3974868608825886146*c_0101_5^3 + 114041616216672523840/1987434304412943073*c_0101_5^2 + 40485319785815088821/3974868608825886146*c_0101_5 + 9046195468027065411/1987434304412943073, c_0011_3 - 240879056460665402/1987434304412943073*c_0101_5^16 + 1891314506170834159/1987434304412943073*c_0101_5^15 - 1849970856514788001/1987434304412943073*c_0101_5^14 + 25257408874267491978/1987434304412943073*c_0101_5^13 + 8883248473865224138/1987434304412943073*c_0101_5^12 + 140222402655196859375/1987434304412943073*c_0101_5^11 + 128043676379628489833/1987434304412943073*c_0101_5^10 + 406507648783438793677/1987434304412943073*c_0101_5^9 + 432794085251611855650/1987434304412943073*c_0101_5^8 + 601883844297775784424/1987434304412943073*c_0101_5^7 + 600938069699842085693/1987434304412943073*c_0101_5^6 + 439453374056911557955/1987434304412943073*c_0101_5^5 + 364993969482615647978/1987434304412943073*c_0101_5^4 + 141017226421137326776/1987434304412943073*c_0101_5^3 + 83031052974471864187/1987434304412943073*c_0101_5^2 + 12654736016570132854/1987434304412943073*c_0101_5 + 5778964827415666532/1987434304412943073, c_0011_5 + 141559655313299459/1987434304412943073*c_0101_5^16 - 1332884961654919629/1987434304412943073*c_0101_5^15 + 3070537310029560947/1987434304412943073*c_0101_5^14 - 18631166708599433459/1987434304412943073*c_0101_5^13 + 21258624310186128116/1987434304412943073*c_0101_5^12 - 102088860627963062195/1987434304412943073*c_0101_5^11 + 63898935743216470690/1987434304412943073*c_0101_5^10 - 270531088755981711458/1987434304412943073*c_0101_5^9 + 99000554153760532885/1987434304412943073*c_0101_5^8 - 353227609172489461873/1987434304412943073*c_0101_5^7 + 77511280337866216622/1987434304412943073*c_0101_5^6 - 217040382871058402414/1987434304412943073*c_0101_5^5 + 36120391724683774802/1987434304412943073*c_0101_5^4 - 52805692988349912953/1987434304412943073*c_0101_5^3 + 12631027384358688518/1987434304412943073*c_0101_5^2 - 3714088853960319984/1987434304412943073*c_0101_5 + 802353935378731001/1987434304412943073, c_0101_0 + 1008607767940764015/3974868608825886146*c_0101_5^16 - 8954786926308088213/3974868608825886146*c_0101_5^15 + 8498471078110553230/1987434304412943073*c_0101_5^14 - 123333936508342646573/3974868608825886146*c_0101_5^13 + 87075854555329252977/3974868608825886146*c_0101_5^12 - 678133207815146458753/3974868608825886146*c_0101_5^11 + 61034220872354950450/1987434304412943073*c_0101_5^10 - 1846905017019133209503/3974868608825886146*c_0101_5^9 - 63745221652461825922/1987434304412943073*c_0101_5^8 - 2513717964111902086251/3974868608825886146*c_0101_5^7 - 235670881349327316713/1987434304412943073*c_0101_5^6 - 1661677154971178463987/3974868608825886146*c_0101_5^5 - 417604342967391219209/3974868608825886146*c_0101_5^4 - 465374216246943622889/3974868608825886146*c_0101_5^3 - 66266568995441915026/1987434304412943073*c_0101_5^2 - 35733950118445987655/3974868608825886146*c_0101_5 - 6773724175357364557/1987434304412943073, c_0101_2 - 84243494062577788/1987434304412943073*c_0101_5^16 + 819823765634365795/1987434304412943073*c_0101_5^15 - 2081481902689927619/1987434304412943073*c_0101_5^14 + 11706922459149279526/1987434304412943073*c_0101_5^13 - 16307950315042913604/1987434304412943073*c_0101_5^12 + 65359211660675901686/1987434304412943073*c_0101_5^11 - 58464088247750738045/1987434304412943073*c_0101_5^10 + 176101317891021681624/1987434304412943073*c_0101_5^9 - 112872363046306950849/1987434304412943073*c_0101_5^8 + 235616415515693960773/1987434304412943073*c_0101_5^7 - 110899235059123563260/1987434304412943073*c_0101_5^6 + 151182078355559671843/1987434304412943073*c_0101_5^5 - 46963333016461363343/1987434304412943073*c_0101_5^4 + 39732310042292078966/1987434304412943073*c_0101_5^3 - 7971410269323562865/1987434304412943073*c_0101_5^2 + 2881733914080357868/1987434304412943073*c_0101_5 - 1493106168533598583/1987434304412943073, c_0101_5^17 - 9*c_0101_5^16 + 18*c_0101_5^15 - 125*c_0101_5^14 + 103*c_0101_5^13 - 693*c_0101_5^12 + 218*c_0101_5^11 - 1907*c_0101_5^10 + 156*c_0101_5^9 - 2659*c_0101_5^8 - 40*c_0101_5^7 - 1869*c_0101_5^6 - 83*c_0101_5^5 - 619*c_0101_5^4 - 18*c_0101_5^3 - 85*c_0101_5^2 - 2*c_0101_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB