Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1781266102] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1791 geometric_solution 5.46570796 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.330671306199 0.120905586438 0 0 2 2 2310 0132 2310 0132 0 0 0 0 0 1 0 -1 -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 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 1.922181509792 0.907623838466 3 1 1 4 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921964668462 0.444800241059 2 5 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 3 2 5 2310 1302 0132 0132 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 5 3 4 5 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0.505836534471 0.645833667201 6 6 4 3 1230 3012 3201 0132 0 0 0 0 0 -1 0 1 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 -1 1 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 0.248353956849 0.959674296743 ==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' : negation(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' : negation(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' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/3*c_0101_5^2 + 11/12, c_0011_0 - 1, c_0011_2 - 1, c_0011_4 - c_0101_5^2 + 1, c_0011_6 + 1, c_0101_0 - 2*c_0101_5^3 + 7/2*c_0101_5, c_0101_1 - 2, c_0101_5^4 - 11/4*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 18706232631892210330538141419988201/3211891413620389025426021266599\ 2*c_0101_5^22 + 1121496929146951640978819638496281133/3211891413620\ 3890254260212665992*c_0101_5^20 - 379913883348410852450696325918415\ 8751/16059457068101945127130106332996*c_0101_5^18 + 513036860819754981330133680789307752131/321189141362038902542602126\ 65992*c_0101_5^16 - 385590045533395201510359068585957050037/4014864\ 267025486281782526583249*c_0101_5^14 + 3886070008461606385358418386050786748897/16059457068101945127130106\ 332996*c_0101_5^12 - 9845619900402307063117184645086483297243/32118\ 914136203890254260212665992*c_0101_5^10 + 3157990988010276156021351865814532488247/16059457068101945127130106\ 332996*c_0101_5^8 - 1987396553622155854368751681906439414947/321189\ 14136203890254260212665992*c_0101_5^6 + 292188582539010429781370239758272609201/321189141362038902542602126\ 65992*c_0101_5^4 - 9739872921882746424093345112042778489/1605945706\ 8101945127130106332996*c_0101_5^2 + 445529157116738193620814139196080615/321189141362038902542602126659\ 92, c_0011_0 - 1, c_0011_2 + 30398795423787630786675455151/236168486295616840104854504897\ *c_0101_5^22 - 1822160336380352867599742920749/23616848629561684010\ 4854504897*c_0101_5^20 + 12327066131600820102422034869167/236168486\ 295616840104854504897*c_0101_5^18 - 833572243406912776159125384950313/236168486295616840104854504897*c_\ 0101_5^16 + 5003442488541454620668188550726474/23616848629561684010\ 4854504897*c_0101_5^14 - 12571184670682396746010937238314494/236168\ 486295616840104854504897*c_0101_5^12 + 15842896991939073642695541116264749/236168486295616840104854504897*\ c_0101_5^10 - 10050774286219419114497720041881499/23616848629561684\ 0104854504897*c_0101_5^8 + 3080445813518381195550393359843462/23616\ 8486295616840104854504897*c_0101_5^6 - 425731157228290296297241589575710/236168486295616840104854504897*c_\ 0101_5^4 + 26115679020359822644567376708834/23616848629561684010485\ 4504897*c_0101_5^2 - 602191963816314932199781161815/236168486295616\ 840104854504897, c_0011_4 - 75839719594102681684886898403/236168486295616840104854504897\ *c_0101_5^22 + 4545159687308782714840926468761/23616848629561684010\ 4854504897*c_0101_5^20 - 30705322313816422297648878878122/236168486\ 295616840104854504897*c_0101_5^18 + 2079301931578961829977992447380639/236168486295616840104854504897*c\ _0101_5^16 - 12460488936829986993319766085245339/236168486295616840\ 104854504897*c_0101_5^14 + 31235312464727847527575612473612297/2361\ 68486295616840104854504897*c_0101_5^12 - 39226444310725943427337100049189642/236168486295616840104854504897*\ c_0101_5^10 + 24741952959400104935331726254366046/23616848629561684\ 0104854504897*c_0101_5^8 - 7521480297281765863549871607604535/23616\ 8486295616840104854504897*c_0101_5^6 + 1033802741643567185493790456533780/236168486295616840104854504897*c\ _0101_5^4 - 63237488848174648362423936244691/2361684862956168401048\ 54504897*c_0101_5^2 + 1305343144104379683517627650691/2361684862956\ 16840104854504897, c_0011_6 - 45440924170315050898211443252/236168486295616840104854504897\ *c_0101_5^22 + 2722999350928429847241183548012/23616848629561684010\ 4854504897*c_0101_5^20 - 18378256182215602195226844008955/236168486\ 295616840104854504897*c_0101_5^18 + 1245729688172049053818867062430326/236168486295616840104854504897*c\ _0101_5^16 - 7457046448288532372651577534518865/2361684862956168401\ 04854504897*c_0101_5^14 + 18664127794045450781564675235297803/23616\ 8486295616840104854504897*c_0101_5^12 - 23383547318786869784641558932924893/236168486295616840104854504897*\ c_0101_5^10 + 14691178673180685820834006212484547/23616848629561684\ 0104854504897*c_0101_5^8 - 4441034483763384667999478247761073/23616\ 8486295616840104854504897*c_0101_5^6 + 608071584415276889196548866958070/236168486295616840104854504897*c_\ 0101_5^4 - 37121809827814825717856559535857/23616848629561684010485\ 4504897*c_0101_5^2 + 703151180288064751317846488876/236168486295616\ 840104854504897, c_0101_0 + 167205651911611309810362269819/23616848629561684010485450489\ 7*c_0101_5^23 - 10020083031622387271209410674000/236168486295616840\ 104854504897*c_0101_5^21 + 67652211553290187901142230860704/2361684\ 86295616840104854504897*c_0101_5^19 - 4583974332593347477591453210450381/236168486295616840104854504897*c\ _0101_5^17 + 27451565582102101301850353727368631/236168486295616840\ 104854504897*c_0101_5^15 - 68737722598731820677140647245319861/2361\ 68486295616840104854504897*c_0101_5^13 + 86141062406745203905613977283137978/236168486295616840104854504897*\ c_0101_5^11 - 54066601860574240227405907828562734/23616848629561684\ 0104854504897*c_0101_5^9 + 16209640869838585460216067864930163/2361\ 68486295616840104854504897*c_0101_5^7 - 2122012951945593336514819083140096/236168486295616840104854504897*c\ _0101_5^5 + 109005337871235826712039857207124/236168486295616840104\ 854504897*c_0101_5^3 - 1242631447700800151993040595649/236168486295\ 616840104854504897*c_0101_5, c_0101_1 - 11748082948199009100397278226/236168486295616840104854504897\ *c_0101_5^22 + 704376976765848237711908456646/236168486295616840104\ 854504897*c_0101_5^20 - 4774442824020405148478457755813/23616848629\ 5616840104854504897*c_0101_5^18 + 322215795216517289754942473936309\ /236168486295616840104854504897*c_0101_5^16 - 1938443448858091748916924213455863/236168486295616840104854504897*c\ _0101_5^14 + 4886211947135899940998967086634938/2361684862956168401\ 04854504897*c_0101_5^12 - 6189570701047072392464459472716619/236168\ 486295616840104854504897*c_0101_5^10 + 3961411315883560049875714650647414/236168486295616840104854504897*c\ _0101_5^8 - 1230568355926881028491777834861236/23616848629561684010\ 4854504897*c_0101_5^6 + 171608531743131867879293260025366/236168486\ 295616840104854504897*c_0101_5^4 - 10584072324920528258123926835449/236168486295616840104854504897*c_0\ 101_5^2 + 391626055259029140814819496490/23616848629561684010485450\ 4897, c_0101_5^24 - 60*c_0101_5^22 + 409*c_0101_5^20 - 27445*c_0101_5^18 + 166189*c_0101_5^16 - 423202*c_0101_5^14 + 545729*c_0101_5^12 - 362123*c_0101_5^10 + 121837*c_0101_5^8 - 20462*c_0101_5^6 + 1737*c_0101_5^4 - 69*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB