Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 1393741650] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s421 geometric_solution 4.71727271 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 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 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 0.572480331887 0.119385346892 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 1 -1 -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 0.753534938302 0.229708301446 1 3 1 4 0132 0132 1023 0132 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 1 -1 0 1 0 -1 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 0.978467731981 0.928109280194 4 2 4 5 3120 0132 3012 0132 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 -1 1 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 0.668665826098 0.738388593525 5 3 2 3 3201 1230 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668665826098 0.738388593525 5 5 3 4 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036662562539 0.966534440411 ==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_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_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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_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_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), '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_5'], 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), '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' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 1362852270205791114878806/1318470241583471667755*c_0101_1^20 + 18225792638736844894057368/1318470241583471667755*c_0101_1^19 - 51804196515484207732217838/1318470241583471667755*c_0101_1^18 - 107036650106015460042526933/1318470241583471667755*c_0101_1^17 + 424456413705066611660317773/1318470241583471667755*c_0101_1^16 + 483229589078985954664748932/1318470241583471667755*c_0101_1^15 - 1262942589333981421971957296/1318470241583471667755*c_0101_1^14 - 385682618865881711570142970/263694048316694333551*c_0101_1^13 + 1050874871306224539160274188/1318470241583471667755*c_0101_1^12 + 4302449615334175841903086264/1318470241583471667755*c_0101_1^11 + 526109634058846027539623429/263694048316694333551*c_0101_1^10 - 3729208572333792967619507403/1318470241583471667755*c_0101_1^9 - 6605853985877465533925600389/1318470241583471667755*c_0101_1^8 - 266177762334199096933663388/263694048316694333551*c_0101_1^7 + 4427985749545364921145933079/1318470241583471667755*c_0101_1^6 + 3822774757459813589022196562/1318470241583471667755*c_0101_1^5 + 258330511623171421541681022/1318470241583471667755*c_0101_1^4 - 1294717444756592570091647349/1318470241583471667755*c_0101_1^3 - 831934843565619271004047356/1318470241583471667755*c_0101_1^2 - 216724227220509082186215602/1318470241583471667755*c_0101_1 - 20912215066505000596606764/1318470241583471667755, c_0011_0 - 1, c_0011_1 - 421716512276026831/359746314211042747*c_0101_1^20 + 5803641638535989089/359746314211042747*c_0101_1^19 - 18344720598566106585/359746314211042747*c_0101_1^18 - 25171022170765930613/359746314211042747*c_0101_1^17 + 138415292994869552912/359746314211042747*c_0101_1^16 + 92824018863730365331/359746314211042747*c_0101_1^15 - 407423601390826505659/359746314211042747*c_0101_1^14 - 429762307430189431600/359746314211042747*c_0101_1^13 + 436741860245293120073/359746314211042747*c_0101_1^12 + 1116066026116444289900/359746314211042747*c_0101_1^11 + 442449959939001414050/359746314211042747*c_0101_1^10 - 1197024346139512006626/359746314211042747*c_0101_1^9 - 1542421683734021552131/359746314211042747*c_0101_1^8 + 37534847689600602337/359746314211042747*c_0101_1^7 + 1197164327593851220764/359746314211042747*c_0101_1^6 + 750309202100980106221/359746314211042747*c_0101_1^5 - 83551389445468955619/359746314211042747*c_0101_1^4 - 311731096189928046166/359746314211042747*c_0101_1^3 - 156852459607344645687/359746314211042747*c_0101_1^2 - 33527777050549431807/359746314211042747*c_0101_1 - 2470871742188175201/359746314211042747, c_0011_4 - 738748221937483793030/263694048316694333551*c_0101_1^20 + 10057207199503114561488/263694048316694333551*c_0101_1^19 - 30558736411034538988497/263694048316694333551*c_0101_1^18 - 49864946277289121455254/263694048316694333551*c_0101_1^17 + 239505310121840034146882/263694048316694333551*c_0101_1^16 + 200978325344796947869099/263694048316694333551*c_0101_1^15 - 713536633867432474392358/263694048316694333551*c_0101_1^14 - 862510728238469784127884/263694048316694333551*c_0101_1^13 + 720039191994068933590121/263694048316694333551*c_0101_1^12 + 2106525909477140720452867/263694048316694333551*c_0101_1^11 + 984216448657771293680713/263694048316694333551*c_0101_1^10 - 2116563781549259839378837/263694048316694333551*c_0101_1^9 - 3029609075583414882379596/263694048316694333551*c_0101_1^8 - 157084988524886440521104/263694048316694333551*c_0101_1^7 + 2255466104510051818120176/263694048316694333551*c_0101_1^6 + 1563064716753858937708767/263694048316694333551*c_0101_1^5 - 81384983528508273080815/263694048316694333551*c_0101_1^4 - 610200732008348537299397/263694048316694333551*c_0101_1^3 - 329603843360250818756417/263694048316694333551*c_0101_1^2 - 74773475221847709857571/263694048316694333551*c_0101_1 - 6345076156668298777413/263694048316694333551, c_0011_5 + 1390255196171209195213/263694048316694333551*c_0101_1^20 - 18925140525137381387302/263694048316694333551*c_0101_1^19 + 57456767695251337532452/263694048316694333551*c_0101_1^18 + 94332920655551311459866/263694048316694333551*c_0101_1^17 - 452057205461534370717259/263694048316694333551*c_0101_1^16 - 380201526117632914576625/263694048316694333551*c_0101_1^15 + 1353188350816272832302859/263694048316694333551*c_0101_1^14 + 1627329836067063722575667/263694048316694333551*c_0101_1^13 - 1384488877617641757775143/263694048316694333551*c_0101_1^12 - 3982690871546257817621940/263694048316694333551*c_0101_1^11 - 1816830143207505240921906/263694048316694333551*c_0101_1^10 + 4040620835025969700187395/263694048316694333551*c_0101_1^9 + 5706995817999951378021832/263694048316694333551*c_0101_1^8 + 215666909243088150654170/263694048316694333551*c_0101_1^7 - 4307896030365675916157701/263694048316694333551*c_0101_1^6 - 2903689601837470920955228/263694048316694333551*c_0101_1^5 + 215355495654415565015831/263694048316694333551*c_0101_1^4 + 1160674986023596556587824/263694048316694333551*c_0101_1^3 + 602678319921415772435783/263694048316694333551*c_0101_1^2 + 129672163321491420048685/263694048316694333551*c_0101_1 + 10165954158196065036393/263694048316694333551, c_0101_0 + 1945635120449653741253/263694048316694333551*c_0101_1^20 - 26257955466890847178205/263694048316694333551*c_0101_1^19 + 77208173161397809482782/263694048316694333551*c_0101_1^18 + 142917967194630652002786/263694048316694333551*c_0101_1^17 - 622504180999748760361033/263694048316694333551*c_0101_1^16 - 609654596877242578938782/263694048316694333551*c_0101_1^15 + 1866625520273513862794731/263694048316694333551*c_0101_1^14 + 2506066401707533686584841/263694048316694333551*c_0101_1^13 - 1769990689113923047152750/263694048316694333551*c_0101_1^12 - 5863285749998213692780994/263694048316694333551*c_0101_1^11 - 3071617845420912051391458/263694048316694333551*c_0101_1^10 + 5571482793526787046133905/263694048316694333551*c_0101_1^9 + 8674422263589906730921466/263694048316694333551*c_0101_1^8 + 953170934386409441979967/263694048316694333551*c_0101_1^7 - 6240494635962820727206712/263694048316694333551*c_0101_1^6 - 4672970327093420857713576/263694048316694333551*c_0101_1^5 + 57662538163668863248481/263694048316694333551*c_0101_1^4 + 1744598794732501685957702/263694048316694333551*c_0101_1^3 + 985644268193623403036902/263694048316694333551*c_0101_1^2 + 228177946373411043745320/263694048316694333551*c_0101_1 + 19096212145072510887117/263694048316694333551, c_0101_1^21 - 13*c_0101_1^20 + 33*c_0101_1^19 + 93*c_0101_1^18 - 283*c_0101_1^17 - 472*c_0101_1^16 + 801*c_0101_1^15 + 1765*c_0101_1^14 - 263*c_0101_1^13 - 3464*c_0101_1^12 - 3085*c_0101_1^11 + 2068*c_0101_1^10 + 5884*c_0101_1^9 + 2725*c_0101_1^8 - 2954*c_0101_1^7 - 4007*c_0101_1^6 - 1177*c_0101_1^5 + 909*c_0101_1^4 + 956*c_0101_1^3 + 372*c_0101_1^2 + 69*c_0101_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB