Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 559988212] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1383 geometric_solution 5.23807202 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544275677352 0.083625551240 2 0 2 0 0132 2310 1023 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 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 0.660792979673 0.192157713087 1 3 1 4 0132 0132 1023 0132 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 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505765787798 1.410902218464 5 2 4 6 0132 0132 3012 0132 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 0 0 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 0.871054626423 1.613153468877 6 3 2 5 1023 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871054626423 1.613153468877 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 -1 1 0 0 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291206841231 0.416106338789 6 4 3 6 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484817280148 0.579474032909 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], '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_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 191753211256243471687493/76467323268112934891250*c_0101_3*c_0101_5^\ 10 + 272953695169512399325957/8496369252012548321250*c_0101_3*c_010\ 1_5^9 + 13332611198411410387868209/152934646536225869782500*c_0101_\ 3*c_0101_5^8 + 2484956199172432626107177/7646732326811293489125*c_0\ 101_3*c_0101_5^7 + 2731400301593562036724156/1274455387801882248187\ 5*c_0101_3*c_0101_5^6 + 13473509828868211145259451/1529346465362258\ 6978250*c_0101_3*c_0101_5^5 - 6110666717851298021749529/13903149685\ 111442707500*c_0101_3*c_0101_5^4 + 43874219683901455028831/463438322837048090250*c_0101_3*c_0101_5^3 - 5103549470147251510063867/4634383228370480902500*c_0101_3*c_0101_5^\ 2 - 235915464680016971332797851/152934646536225869782500*c_0101_3*c\ _0101_5 - 8857365532664099332604839/30586929307245173956500*c_0101_\ 3, c_0011_0 - 1, c_0011_1 + 49606041315173/5023721656770169*c_0101_5^10 + 579929142165621/5023721656770169*c_0101_5^9 + 1075636106741421/5023721656770169*c_0101_5^8 + 5262832889295647/5023721656770169*c_0101_5^7 - 1345050482363651/5023721656770169*c_0101_5^6 + 18966653681241251/5023721656770169*c_0101_5^5 - 29257094776670848/5023721656770169*c_0101_5^4 + 27780418805566720/5023721656770169*c_0101_5^3 - 47064255732784111/5023721656770169*c_0101_5^2 + 6464245468128680/5023721656770169*c_0101_5 - 1007308908400046/5023721656770169, c_0011_4 + 4176175963109/5023721656770169*c_0101_3*c_0101_5^10 + 125848159612193/10047443313540338*c_0101_3*c_0101_5^9 + 245429755384546/5023721656770169*c_0101_3*c_0101_5^8 + 636549311292362/5023721656770169*c_0101_3*c_0101_5^7 + 1251454420339229/5023721656770169*c_0101_3*c_0101_5^6 + 1296884617076825/10047443313540338*c_0101_3*c_0101_5^5 + 4396408955177618/5023721656770169*c_0101_3*c_0101_5^4 - 14374228876088617/10047443313540338*c_0101_3*c_0101_5^3 + 19012914129591829/10047443313540338*c_0101_3*c_0101_5^2 - 27862908081565273/10047443313540338*c_0101_3*c_0101_5 + 228616113669544/5023721656770169*c_0101_3, c_0101_0 - 60859597228367/10047443313540338*c_0101_3*c_0101_5^10 - 384702926735804/5023721656770169*c_0101_3*c_0101_5^9 - 1948789777497409/10047443313540338*c_0101_3*c_0101_5^8 - 3548074559896731/5023721656770169*c_0101_3*c_0101_5^7 - 2884967956258909/10047443313540338*c_0101_3*c_0101_5^6 - 8267423509069551/5023721656770169*c_0101_3*c_0101_5^5 + 7629227468261169/5023721656770169*c_0101_3*c_0101_5^4 + 8608983672999957/10047443313540338*c_0101_3*c_0101_5^3 + 8764900319025452/5023721656770169*c_0101_3*c_0101_5^2 + 44176331982881571/10047443313540338*c_0101_3*c_0101_5 - 15438942763805837/10047443313540338*c_0101_3, c_0101_1 - 28340738340506/5023721656770169*c_0101_5^10 - 353048990298901/5023721656770169*c_0101_5^9 - 847010685872236/5023721656770169*c_0101_5^8 - 3168302263499574/5023721656770169*c_0101_5^7 - 453710665131814/5023721656770169*c_0101_5^6 - 7615963589976195/5023721656770169*c_0101_5^5 + 10635094699099124/5023721656770169*c_0101_5^4 - 4912074555663718/5023721656770169*c_0101_5^3 + 17869898352806171/5023721656770169*c_0101_5^2 + 203665482669152/5023721656770169*c_0101_5 + 2876806794217556/5023721656770169, c_0101_3^2 + 15343353616455/5023721656770169*c_0101_5^10 + 164514926137904/5023721656770169*c_0101_5^9 + 144225614058210/5023721656770169*c_0101_5^8 + 1196232358418132/5023721656770169*c_0101_5^7 - 1505327138300355/5023721656770169*c_0101_5^6 + 6735952019582306/5023721656770169*c_0101_5^5 - 8136426444758212/5023721656770169*c_0101_5^4 + 11050269737968513/5023721656770169*c_0101_5^3 - 14563541686439575/5023721656770169*c_0101_5^2 - 282448165794452/5023721656770169*c_0101_5 - 744090619727595/5023721656770169, c_0101_5^11 + 12*c_0101_5^10 + 25*c_0101_5^9 + 109*c_0101_5^8 - 3*c_0101_5^7 + 352*c_0101_5^6 - 454*c_0101_5^5 + 396*c_0101_5^4 - 726*c_0101_5^3 - 62*c_0101_5^2 - 26*c_0101_5 - 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB