Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 846442011] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0050 geometric_solution 3.61556753 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762189057551 0.048469331704 2 0 2 0 0132 2310 1023 0132 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 0 -1 1 1 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 0.931084873221 0.034628344218 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -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 0.904220071619 0.066017547658 4 2 4 2 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 -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 0.865168146435 0.165480197303 3 5 3 6 0132 0132 1023 0132 0 0 0 0 0 0 0 0 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 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 0.988842616592 0.504685680080 6 4 6 6 3012 0132 2310 1230 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006163637891 0.984165635006 5 5 4 5 3012 3201 0132 1230 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 -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 1.006163637891 0.984165635006 ==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' : d['c_0011_1'], 'c_1100_5' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], '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_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_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_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 51755287524075408886652702/39344688575867301372207*c_0101_5^15 + 294617382393326283190105480/39344688575867301372207*c_0101_5^14 + 996210115224387190000400930/39344688575867301372207*c_0101_5^13 - 1290007140943389201291195232/39344688575867301372207*c_0101_5^12 - 4779951679771955153461434955/39344688575867301372207*c_0101_5^11 - 16849950143596339235296901393/39344688575867301372207*c_0101_5^10 + 6108761866358673073976456495/5620669796552471624601*c_0101_5^9 - 37092951489044983719012803248/39344688575867301372207*c_0101_5^8 + 666574570916722517621415203/624518866283607958289*c_0101_5^7 - 12617329384792976720178665240/39344688575867301372207*c_0101_5^6 - 19601857357938567709213946767/39344688575867301372207*c_0101_5^5 + 103848311164211977654761862/510969981504770147691*c_0101_5^4 - 4023671606612714761817223952/39344688575867301372207*c_0101_5^3 - 93129435318069656160656116/13114896191955767124069*c_0101_5^2 + 1850792167851702562260180296/39344688575867301372207*c_0101_5 + 156799360327614338194884020/39344688575867301372207, c_0011_0 - 1, c_0011_1 - 178535030984707178347/510969981504770147691*c_0101_5^15 - 966984448911988933907/510969981504770147691*c_0101_5^14 - 3165365980874938907695/510969981504770147691*c_0101_5^13 + 5358678638646383718077/510969981504770147691*c_0101_5^12 + 15155685848563413968273/510969981504770147691*c_0101_5^11 + 54099802104332544113425/510969981504770147691*c_0101_5^10 - 162937022001928451227003/510969981504770147691*c_0101_5^9 + 170723869022149665418994/510969981504770147691*c_0101_5^8 - 21442055662226311947988/56774442389418905299*c_0101_5^7 + 100703267678549858517901/510969981504770147691*c_0101_5^6 + 35696131571233716501467/510969981504770147691*c_0101_5^5 - 28863683883450733711165/510969981504770147691*c_0101_5^4 + 18221821168420125265976/510969981504770147691*c_0101_5^3 - 1385140457852152889497/170323327168256715897*c_0101_5^2 - 4974580505465506155232/510969981504770147691*c_0101_5 - 299755324204257535972/510969981504770147691, c_0101_0 - 38894187879974152135/56774442389418905299*c_0101_5^15 - 658839780293587680619/170323327168256715897*c_0101_5^14 - 2218959008545913336938/170323327168256715897*c_0101_5^13 + 998063161605962852308/56774442389418905299*c_0101_5^12 + 10587729175624751462711/170323327168256715897*c_0101_5^11 + 12542164229895424263517/56774442389418905299*c_0101_5^10 - 97934962870570896256190/170323327168256715897*c_0101_5^9 + 88992131076161353956514/170323327168256715897*c_0101_5^8 - 102315688300741882264049/170323327168256715897*c_0101_5^7 + 38411684859232599878849/170323327168256715897*c_0101_5^6 + 36834088490672817729545/170323327168256715897*c_0101_5^5 - 5161007173077641184914/56774442389418905299*c_0101_5^4 + 8963114948563343462405/170323327168256715897*c_0101_5^3 - 270107653531132276708/56774442389418905299*c_0101_5^2 - 1203910368383018799842/56774442389418905299*c_0101_5 - 475619478428936385226/170323327168256715897, c_0101_1 + 268313755690153182047/510969981504770147691*c_0101_5^15 + 1477247905091134420231/510969981504770147691*c_0101_5^14 + 4909165940267235217454/510969981504770147691*c_0101_5^13 - 7490353875977098327819/510969981504770147691*c_0101_5^12 - 22988908486728529101976/510969981504770147691*c_0101_5^11 - 83554731195637662355163/510969981504770147691*c_0101_5^10 + 235684274598504857088443/510969981504770147691*c_0101_5^9 - 242915410507528975733692/510969981504770147691*c_0101_5^8 + 93346267693576225498387/170323327168256715897*c_0101_5^7 - 137953069110464715884219/510969981504770147691*c_0101_5^6 - 51336089665055178349588/510969981504770147691*c_0101_5^5 + 36347442471561331552901/510969981504770147691*c_0101_5^4 - 26348584266202928848921/510969981504770147691*c_0101_5^3 + 1563831680685554106185/170323327168256715897*c_0101_5^2 + 6518033342131266017984/510969981504770147691*c_0101_5 + 918077626881706217393/510969981504770147691, c_0101_3 + 23727569937342881539/170323327168256715897*c_0101_5^15 + 45849916286818192803/56774442389418905299*c_0101_5^14 + 473743564142611728563/170323327168256715897*c_0101_5^13 - 525061525657731755816/170323327168256715897*c_0101_5^12 - 2184042989542091735005/170323327168256715897*c_0101_5^11 - 7976767682456486102236/170323327168256715897*c_0101_5^10 + 6171589748806524166365/56774442389418905299*c_0101_5^9 - 5363610191402566493396/56774442389418905299*c_0101_5^8 + 19078128446810601749678/170323327168256715897*c_0101_5^7 - 1575525240413486913698/56774442389418905299*c_0101_5^6 - 8105110503975066029365/170323327168256715897*c_0101_5^5 + 3048112528355829193768/170323327168256715897*c_0101_5^4 - 2470046874652164292870/170323327168256715897*c_0101_5^3 - 95347156690963048476/56774442389418905299*c_0101_5^2 + 620225084698213219492/170323327168256715897*c_0101_5 + 113425221484172642168/170323327168256715897, c_0101_4 - 302337009823142443403/510969981504770147691*c_0101_5^15 - 1704661881771348894436/510969981504770147691*c_0101_5^14 - 5748831800121501687845/510969981504770147691*c_0101_5^13 + 7727544771815863236913/510969981504770147691*c_0101_5^12 + 27096559697484710790910/510969981504770147691*c_0101_5^11 + 97511475173613518454455/510969981504770147691*c_0101_5^10 - 253419269276471744777480/510969981504770147691*c_0101_5^9 + 237218455566091622595331/510969981504770147691*c_0101_5^8 - 92170452633075787361677/170323327168256715897*c_0101_5^7 + 111374320103011768510307/510969981504770147691*c_0101_5^6 + 82472426825605404636376/510969981504770147691*c_0101_5^5 - 36856331463309286253555/510969981504770147691*c_0101_5^4 + 25147076205721855688158/510969981504770147691*c_0101_5^3 - 868398323776277601950/170323327168256715897*c_0101_5^2 - 7871457303650056165145/510969981504770147691*c_0101_5 - 969282397641824239175/510969981504770147691, c_0101_5^16 + 6*c_0101_5^15 + 21*c_0101_5^14 - 19*c_0101_5^13 - 100*c_0101_5^12 - 354*c_0101_5^11 + 726*c_0101_5^10 - 463*c_0101_5^9 + 592*c_0101_5^8 + 5*c_0101_5^7 - 453*c_0101_5^6 + 38*c_0101_5^5 - 31*c_0101_5^4 - 29*c_0101_5^3 + 34*c_0101_5^2 + 14*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB