Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 2000087556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2883 geometric_solution 6.09507300 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 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 0.550197372689 0.801667568494 0 1 1 4 0132 3201 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203423257929 1.113424918690 4 0 3 5 3012 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.396727121593 0.504135984893 2 5 6 0 2103 3120 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 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 0.023974418840 0.815633580177 1 5 0 2 3012 2310 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 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 0.735039542837 0.435153043077 6 3 2 4 2031 3120 0132 3201 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963993340545 1.224982376337 6 6 5 3 1230 3012 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327057539403 0.709475676447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} 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_4, c_0011_5, c_0011_6, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 101211004281515659933696/16779103654429765363*c_0101_5^24 - 393146462744917973509120/16779103654429765363*c_0101_5^22 + 1429196500254186342092416/16779103654429765363*c_0101_5^20 - 556579732869069143553696/1290700281109981951*c_0101_5^18 + 1849478362143033885104912/1290700281109981951*c_0101_5^16 - 48573392069718106426874464/16779103654429765363*c_0101_5^14 + 257523220866653442651616/67931593742630629*c_0101_5^12 - 55910615631425225401918348/16779103654429765363*c_0101_5^10 + 2545179867885504280324996/1290700281109981951*c_0101_5^8 - 679747522560486758751746/883110718654198177*c_0101_5^6 + 3179066601080119523059092/16779103654429765363*c_0101_5^4 - 446915817814862711260922/16779103654429765363*c_0101_5^2 + 26535609311631538203848/16779103654429765363, c_0011_0 - 1, c_0011_3 - 323400524096860211200/1525373059493615033*c_0101_5^24 + 1019278070996425504768/1525373059493615033*c_0101_5^22 - 3846884001347087665792/1525373059493615033*c_0101_5^20 + 20370028646133555548192/1525373059493615033*c_0101_5^18 - 62182521510062736994576/1525373059493615033*c_0101_5^16 + 111179022559155585290692/1525373059493615033*c_0101_5^14 - 6635324466141576067828/80282792604927107*c_0101_5^12 + 93077292155534779209616/1525373059493615033*c_0101_5^10 - 44167184911045347929195/1525373059493615033*c_0101_5^8 + 679165994361916363474/80282792604927107*c_0101_5^6 - 2092822136638816045352/1525373059493615033*c_0101_5^4 + 124020469963194889852/1525373059493615033*c_0101_5^2 + 8983640866020665685/3050746118987230066, c_0011_4 + 461029639266147835904/1290700281109981951*c_0101_5^25 - 24073480898816748000256/16779103654429765363*c_0101_5^23 + 87567374301065879930368/16779103654429765363*c_0101_5^21 - 438901939654059171946048/16779103654429765363*c_0101_5^19 + 1478040509248091078521744/16779103654429765363*c_0101_5^17 - 3052639076329712973445536/16779103654429765363*c_0101_5^15 + 215954358778237300886208/883110718654198177*c_0101_5^13 - 3716644423905111271518948/16779103654429765363*c_0101_5^11 + 2277893851664961749979460/16779103654429765363*c_0101_5^9 - 48717657852490931404832/883110718654198177*c_0101_5^7 + 238582576288675507830390/16779103654429765363*c_0101_5^5 - 2733421384000958636860/1290700281109981951*c_0101_5^3 + 2278054388070020813823/16779103654429765363*c_0101_5, c_0011_5 - 161208471760343367680/1525373059493615033*c_0101_5^24 + 736382610031772673536/1525373059493615033*c_0101_5^22 - 2597147677821325034496/1525373059493615033*c_0101_5^20 + 12769104882768805819936/1525373059493615033*c_0101_5^18 - 44963133352990558467448/1525373059493615033*c_0101_5^16 + 97058841881521542271216/1525373059493615033*c_0101_5^14 - 7108713327518023965112/80282792604927107*c_0101_5^12 + 9658370480207254466834/117336389191816541*c_0101_5^10 - 78215501421703816864014/1525373059493615033*c_0101_5^8 + 1681405560258478213132/80282792604927107*c_0101_5^6 - 8186204349660582749364/1525373059493615033*c_0101_5^4 + 1198241078922839797341/1525373059493615033*c_0101_5^2 - 74738735514852313126/1525373059493615033, c_0011_6 + 2869562987834953227264/16779103654429765363*c_0101_5^25 - 11826481688170047506944/16779103654429765363*c_0101_5^23 + 42516963132412435733824/16779103654429765363*c_0101_5^21 - 212847859193681415060112/16779103654429765363*c_0101_5^19 + 722986567674692736817640/16779103654429765363*c_0101_5^17 - 1499487477780770484805784/16779103654429765363*c_0101_5^15 + 105982640205336294404020/883110718654198177*c_0101_5^13 - 1813425685437173093369426/16779103654429765363*c_0101_5^11 + 1098458366995298751147428/16779103654429765363*c_0101_5^9 - 23061653900599764592478/883110718654198177*c_0101_5^7 + 109983414600941119657648/16779103654429765363*c_0101_5^5 - 15681160104622786736337/16779103654429765363*c_0101_5^3 + 916740537559482603273/16779103654429765363*c_0101_5, c_0101_1 - 6013019956015970377728/16779103654429765363*c_0101_5^25 + 20345498962060484294656/16779103654429765363*c_0101_5^23 - 76128179873521947693056/16779103654429765363*c_0101_5^21 + 395931659863239103503360/16779103654429765363*c_0101_5^19 - 1246316969170447542558592/16779103654429765363*c_0101_5^17 + 2347843442969441706123896/16779103654429765363*c_0101_5^15 - 150553559142990239946576/883110718654198177*c_0101_5^13 + 2337568617691474015547520/16779103654429765363*c_0101_5^11 - 1290860376302027449855298/16779103654429765363*c_0101_5^9 + 25145503130163209146718/883110718654198177*c_0101_5^7 - 115279257588756367269364/16779103654429765363*c_0101_5^5 + 16657350423296417711276/16779103654429765363*c_0101_5^3 - 1107153187929760601424/16779103654429765363*c_0101_5, c_0101_5^26 - 4*c_0101_5^24 + 235/16*c_0101_5^22 - 4701/64*c_0101_5^20 + 1977/8*c_0101_5^18 - 32921/64*c_0101_5^16 + 90163/128*c_0101_5^14 - 42219/64*c_0101_5^12 + 109499/256*c_0101_5^10 - 195469/1024*c_0101_5^8 + 29373/512*c_0101_5^6 - 5669/512*c_0101_5^4 + 315/256*c_0101_5^2 - 121/2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB