Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 492601631] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s415 geometric_solution 4.67929605 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -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 0.518070421523 0.488541628227 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 1 0 -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 -1 0 1 0 0 0 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 0.682903934136 0.748855908330 1 3 0 1 1230 2310 0132 1302 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 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 0.682903934136 0.748855908330 1 4 4 2 0132 0132 1023 3201 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 -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 0.552654874009 0.521311525206 5 3 3 5 0132 0132 1023 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.247441717058 0.375407561780 4 5 5 4 0132 3201 2310 1023 0 0 0 0 0 0 0 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 0 0 0 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 1.233269617512 0.150840103720 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : 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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2156204148929396331/253293016020266485*c_0101_5^17 + 4454144986398971889/253293016020266485*c_0101_5^16 + 5529025350881655867/50658603204053297*c_0101_5^15 - 61882065368022911953/253293016020266485*c_0101_5^14 - 122148395006730634013/253293016020266485*c_0101_5^13 + 197858235554940503656/253293016020266485*c_0101_5^12 + 544979948105872247358/253293016020266485*c_0101_5^11 - 306560404031948121824/253293016020266485*c_0101_5^10 - 1561084551387279961183/253293016020266485*c_0101_5^9 + 310509435043814175843/253293016020266485*c_0101_5^8 + 1912721345122083699396/253293016020266485*c_0101_5^7 - 196941705650604172883/253293016020266485*c_0101_5^6 - 949793229237167985682/253293016020266485*c_0101_5^5 + 79403422630100500208/253293016020266485*c_0101_5^4 + 236946612679861909074/253293016020266485*c_0101_5^3 - 14843790927956683342/253293016020266485*c_0101_5^2 - 37027775199472835719/253293016020266485*c_0101_5 - 5889746298169295502/253293016020266485, c_0011_0 - 1, c_0011_1 + 32274681420462817/50658603204053297*c_0101_5^17 - 86636777000108411/50658603204053297*c_0101_5^16 - 365365615760906596/50658603204053297*c_0101_5^15 + 1163886918931023360/50658603204053297*c_0101_5^14 + 1172265158237853704/50658603204053297*c_0101_5^13 - 3845630117881810225/50658603204053297*c_0101_5^12 - 6041015469629985947/50658603204053297*c_0101_5^11 + 8835336249102276646/50658603204053297*c_0101_5^10 + 19116200772885018109/50658603204053297*c_0101_5^9 - 17378566139773103485/50658603204053297*c_0101_5^8 - 21437209089541635526/50658603204053297*c_0101_5^7 + 17431131003015580130/50658603204053297*c_0101_5^6 + 7643907821172438287/50658603204053297*c_0101_5^5 - 6805813175896373610/50658603204053297*c_0101_5^4 - 1131329759223925681/50658603204053297*c_0101_5^3 + 1264393865423903179/50658603204053297*c_0101_5^2 + 119560365165173466/50658603204053297*c_0101_5 - 88302698328464210/50658603204053297, c_0101_0 - 80563291224951604/50658603204053297*c_0101_5^17 + 181109262957502740/50658603204053297*c_0101_5^16 + 1001539345883429738/50658603204053297*c_0101_5^15 - 2503889233031015518/50658603204053297*c_0101_5^14 - 4117434006247504394/50658603204053297*c_0101_5^13 + 8263606821694728448/50658603204053297*c_0101_5^12 + 18799908387815492979/50658603204053297*c_0101_5^11 - 15349107816846318118/50658603204053297*c_0101_5^10 - 55534568552600904289/50658603204053297*c_0101_5^9 + 23333714450886043952/50658603204053297*c_0101_5^8 + 67987273344669306317/50658603204053297*c_0101_5^7 - 23571148892963948610/50658603204053297*c_0101_5^6 - 32544884705930799321/50658603204053297*c_0101_5^5 + 12470743388183348010/50658603204053297*c_0101_5^4 + 7218670325130261210/50658603204053297*c_0101_5^3 - 2909604876656857303/50658603204053297*c_0101_5^2 - 812246198881367022/50658603204053297*c_0101_5 + 200822236595645913/50658603204053297, c_0101_1 - 143318799218955674/50658603204053297*c_0101_5^17 + 329057287589775910/50658603204053297*c_0101_5^16 + 1768253409455684361/50658603204053297*c_0101_5^15 - 4541867887541974885/50658603204053297*c_0101_5^14 - 7142272109708352104/50658603204053297*c_0101_5^13 + 15088877125689038088/50658603204053297*c_0101_5^12 + 32920398811156283686/50658603204053297*c_0101_5^11 - 29046228910353776986/50658603204053297*c_0101_5^10 - 98165293234297620682/50658603204053297*c_0101_5^9 + 46245889290342470572/50658603204053297*c_0101_5^8 + 120795184223109279913/50658603204053297*c_0101_5^7 - 47270854937453489370/50658603204053297*c_0101_5^6 - 58488633344599406087/50658603204053297*c_0101_5^5 + 24918135922499952233/50658603204053297*c_0101_5^4 + 13360559009638485756/50658603204053297*c_0101_5^3 - 6146936628174649200/50658603204053297*c_0101_5^2 - 1535778058866668524/50658603204053297*c_0101_5 + 451516705588006615/50658603204053297, c_0101_4 - 24517686865938943/50658603204053297*c_0101_5^17 + 53531165387881436/50658603204053297*c_0101_5^16 + 307495269396599151/50658603204053297*c_0101_5^15 - 740851716691614342/50658603204053297*c_0101_5^14 - 1290676004500424348/50658603204053297*c_0101_5^13 + 2413116708618150647/50658603204053297*c_0101_5^12 + 5827600314274955010/50658603204053297*c_0101_5^11 - 4237786408081365367/50658603204053297*c_0101_5^10 - 16969755318673901378/50658603204053297*c_0101_5^9 + 5949349344748833444/50658603204053297*c_0101_5^8 + 20526543604664725175/50658603204053297*c_0101_5^7 - 5857388696377504201/50658603204053297*c_0101_5^6 - 9609246363345968007/50658603204053297*c_0101_5^5 + 3146810576027577523/50658603204053297*c_0101_5^4 + 2076888547326662664/50658603204053297*c_0101_5^3 - 699143599933355835/50658603204053297*c_0101_5^2 - 297937370935723934/50658603204053297*c_0101_5 + 47036179854076792/50658603204053297, c_0101_5^18 - 2*c_0101_5^17 - 13*c_0101_5^16 + 28*c_0101_5^15 + 59*c_0101_5^14 - 90*c_0101_5^13 - 260*c_0101_5^12 + 133*c_0101_5^11 + 741*c_0101_5^10 - 117*c_0101_5^9 - 927*c_0101_5^8 + 76*c_0101_5^7 + 493*c_0101_5^6 - 49*c_0101_5^5 - 140*c_0101_5^4 + 14*c_0101_5^3 + 23*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB