Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 105355834] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0183 geometric_solution 3.99549962 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.259334395730 0.081162983844 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 1 0 -1 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 0 0 -1.534995590977 0.541633994220 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133650116953 0.100034444020 4 2 4 2 0132 2310 2310 0132 0 0 0 0 0 0 1 -1 -1 0 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 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 -0.542918762900 2.409110354780 3 3 5 6 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.457878955634 0.868967577642 6 6 6 4 1023 2031 1230 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 -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 0.478705512018 0.863917259635 5 5 4 5 1302 1023 0132 3012 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.478705512018 0.863917259635 ==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_0110_6'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_0110_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_2']), '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' : d['c_0101_1'], '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' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 5*c_0110_6^2 + 4*c_0110_6 + 9, c_0011_0 - 1, c_0011_3 + c_0110_6^2 - 1, c_0011_5 + c_0110_6^2 - 1, c_0101_0 - c_0110_6^2 + 1, c_0101_1 + c_0110_6, c_0101_2 + 1, c_0110_6^3 - c_0110_6^2 - 2*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 8953855737109089086529139/2897381116773249157483037*c_0110_6^16 + 84232488851319108166943493/2897381116773249157483037*c_0110_6^15 + 448319217514019411116017716/2897381116773249157483037*c_0110_6^14 + 2201473327086730511090548480/2897381116773249157483037*c_0110_6^13 + 5857861157847094572949133822/2897381116773249157483037*c_0110_6^12 + 6101738990085534388694526820/2897381116773249157483037*c_0110_6^11 + 5678933449886436896627905066/2897381116773249157483037*c_0110_6^10 + 22766779108647343010293409918/2897381116773249157483037*c_0110_6^9 + 30777923464752115289615732601/2897381116773249157483037*c_0110_6^8 - 10503657588441798939997457349/2897381116773249157483037*c_0110_6^7 - 41811788437542158748563786651/2897381116773249157483037*c_0110_6^6 - 20866031472859002001886193690/2897381116773249157483037*c_0110_6^5 + 1007231177568536649365848891/2897381116773249157483037*c_0110_6^4 + 16812027383383854076601431/7767777792957772540169*c_0110_6^3 + 5343648786568744717122973533/2897381116773249157483037*c_0110_6^2 + 521040118816800228368869087/2897381116773249157483037*c_0110_6 - 755889092181578378801336313/2897381116773249157483037, c_0011_0 - 1, c_0011_3 + 175513848410220527556424/2897381116773249157483037*c_0110_6^\ 16 + 1522715054338282562257042/2897381116773249157483037*c_0110_6^1\ 5 + 7762809235734640079188049/2897381116773249157483037*c_0110_6^14 + 38304497891656415182145633/2897381116773249157483037*c_0110_6^13 + 91192307335215699699940537/2897381116773249157483037*c_0110_6^12 + 74501997520092975975766890/2897381116773249157483037*c_0110_6^11 + 113984710432803043456776293/2897381116773249157483037*c_0110_6^10 + 421611383010130750957000324/2897381116773249157483037*c_0110_6^9 + 360582513208956466985231117/2897381116773249157483037*c_0110_6^8 - 222920832633906631592702712/2897381116773249157483037*c_0110_6^7 - 364903356483765173452972983/2897381116773249157483037*c_0110_6^6 - 223395924864385842953338745/2897381116773249157483037*c_0110_6^5 - 92863819881228048162667751/2897381116773249157483037*c_0110_6^4 + 58719922817708785437940/7767777792957772540169*c_0110_6^3 + 12429530201868115865822653/2897381116773249157483037*c_0110_6^2 + 2285914828885345316488295/2897381116773249157483037*c_0110_6 + 1636686552480395436911483/2897381116773249157483037, c_0011_5 - 322294946350549594049824/2897381116773249157483037*c_0110_6^\ 16 - 2904791142426516195460415/2897381116773249157483037*c_0110_6^1\ 5 - 15233463458112189133021289/2897381116773249157483037*c_0110_6^1\ 4 - 75370863272476862502751531/2897381116773249157483037*c_0110_6^1\ 3 - 192187088158562001756384196/2897381116773249157483037*c_0110_6^\ 12 - 198511328466633112606995469/2897381116773249157483037*c_0110_6\ ^11 - 260884045396107320327845810/2897381116773249157483037*c_0110_\ 6^10 - 842925411524753788577868140/2897381116773249157483037*c_0110\ _6^9 - 950443514406848884109555803/2897381116773249157483037*c_0110\ _6^8 + 152188276139341971886039796/2897381116773249157483037*c_0110\ _6^7 + 832165960518490067841200449/2897381116773249157483037*c_0110\ _6^6 + 637014532089618271480280417/2897381116773249157483037*c_0110\ _6^5 + 306358103432711481143753831/2897381116773249157483037*c_0110\ _6^4 + 73018789261510177099110/7767777792957772540169*c_0110_6^3 - 36382708391206111689556164/2897381116773249157483037*c_0110_6^2 - 8483737985709701629860648/2897381116773249157483037*c_0110_6 + 87422467260334998061143/2897381116773249157483037, c_0101_0 + 1297425642588177251526181/2897381116773249157483037*c_0110_6\ ^16 + 11340674373594778754128744/2897381116773249157483037*c_0110_6\ ^15 + 57972363189793972265371004/2897381116773249157483037*c_0110_6\ ^14 + 285426627451384723385681300/2897381116773249157483037*c_0110_\ 6^13 + 684803592940191262438861672/2897381116773249157483037*c_0110\ _6^12 + 557013993126997349087844009/2897381116773249157483037*c_011\ 0_6^11 + 772531640873776840964492695/2897381116773249157483037*c_01\ 10_6^10 + 3076223732503292249838385789/2897381116773249157483037*c_\ 0110_6^9 + 2793499865960133668188240672/2897381116773249157483037*c\ _0110_6^8 - 1954800438482670341299415522/2897381116773249157483037*\ c_0110_6^7 - 3310369945911107515267322932/2897381116773249157483037\ *c_0110_6^6 - 1472193067508178669866051238/289738111677324915748303\ 7*c_0110_6^5 - 347614588720943886678277986/289738111677324915748303\ 7*c_0110_6^4 + 887889264690327766160565/7767777792957772540169*c_01\ 10_6^3 + 229727011550471861110878508/2897381116773249157483037*c_01\ 10_6^2 - 27599205307574195543443202/2897381116773249157483037*c_011\ 0_6 - 9720265102693186506644621/2897381116773249157483037, c_0101_1 - 483799072512934254466216/2897381116773249157483037*c_0110_6^\ 16 - 4372526493471383393943654/2897381116773249157483037*c_0110_6^1\ 5 - 23022775607783062316356170/2897381116773249157483037*c_0110_6^1\ 4 - 114055711811292306653365485/2897381116773249157483037*c_0110_6^\ 13 - 292936493883094817127585423/2897381116773249157483037*c_0110_6\ ^12 - 313223913501659519109261983/2897381116773249157483037*c_0110_\ 6^11 - 412583911028155052173017812/2897381116773249157483037*c_0110\ _6^10 - 1276071346718672877667932667/2897381116773249157483037*c_01\ 10_6^9 - 1482543707558264607904783282/2897381116773249157483037*c_0\ 110_6^8 + 116399034001718094004827734/2897381116773249157483037*c_0\ 110_6^7 + 1258445254064115566348934575/2897381116773249157483037*c_\ 0110_6^6 + 1064821782383163813532964358/2897381116773249157483037*c\ _0110_6^5 + 504357395330533588966189568/2897381116773249157483037*c\ _0110_6^4 + 172470186277822128952587/7767777792957772540169*c_0110_\ 6^3 - 58655754877548476019394677/2897381116773249157483037*c_0110_6\ ^2 - 18473154214725535444547899/2897381116773249157483037*c_0110_6 + 916873461420498301443951/2897381116773249157483037, c_0101_2 + 513717319814085958803793/2897381116773249157483037*c_0110_6^\ 16 + 4521460256184885745362205/2897381116773249157483037*c_0110_6^1\ 5 + 23292449577572441762492341/2897381116773249157483037*c_0110_6^1\ 4 + 114904079808936398220473679/2897381116773249157483037*c_0110_6^\ 13 + 280423415648283274023621525/2897381116773249157483037*c_0110_6\ ^12 + 249151487087370533040144455/2897381116773249157483037*c_0110_\ 6^11 + 342044365618410552491018248/2897381116773249157483037*c_0110\ _6^10 + 1250342649626525473331666308/2897381116773249157483037*c_01\ 10_6^9 + 1225046072427595745578580526/2897381116773249157483037*c_0\ 110_6^8 - 597072227343670828547888801/2897381116773249157483037*c_0\ 110_6^7 - 1302946376158655919305645937/2897381116773249157483037*c_\ 0110_6^6 - 711931670366622992556101433/2897381116773249157483037*c_\ 0110_6^5 - 259070236847736934386037422/2897381116773249157483037*c_\ 0110_6^4 + 185107700971484263200898/7767777792957772540169*c_0110_6\ ^3 + 81478846758308126244819650/2897381116773249157483037*c_0110_6^\ 2 - 2491173269522375678644377/2897381116773249157483037*c_0110_6 - 2325725387192288144764382/2897381116773249157483037, c_0110_6^17 + 9*c_0110_6^16 + 47*c_0110_6^15 + 232*c_0110_6^14 + 587*c_0110_6^13 + 577*c_0110_6^12 + 731*c_0110_6^11 + 2549*c_0110_6^10 + 2812*c_0110_6^9 - 840*c_0110_6^8 - 2837*c_0110_6^7 - 1797*c_0110_6^6 - 660*c_0110_6^5 + 99*c_0110_6^4 + 202*c_0110_6^3 + 15*c_0110_6^2 - 9*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB