Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 3381155085] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0428 geometric_solution 4.48182790 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 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 0.729765533341 0.072505053559 2 0 2 0 0132 2310 1023 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 -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 0.913325644665 0.062309133078 1 3 1 3 0132 0132 1023 1023 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 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886488861364 0.131464177607 4 2 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0.936126977326 0.346032238998 3 5 5 6 0132 0213 3012 0132 0 0 0 0 0 1 -1 0 0 0 -1 1 1 0 0 -1 -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 1 -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 0.784359923700 0.818037840031 6 4 4 3 1023 1230 0213 0132 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 -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 0.784359923700 0.818037840031 6 5 4 6 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301305196012 1.143011336135 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_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' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 940371845074392112539886714/54534996365987783525244561*c_0101_4^27 - 12198175109579862432019090012/18178332121995927841748187*c_0101_4^2\ 5 + 138131015644563924525138247507/18178332121995927841748187*c_010\ 1_4^23 - 114220809107930892561900182786/2596904588856561120249741*c\ _0101_4^21 + 9198607590058492162994859668039/5453499636598778352524\ 4561*c_0101_4^19 - 9150448144746450885910854179693/1817833212199592\ 7841748187*c_0101_4^17 + 21403417183393701311966644400411/181783321\ 21995927841748187*c_0101_4^15 - 110521015228473671511341131799810/5\ 4534996365987783525244561*c_0101_4^13 + 19081935992678483398628626057298/7790713766569683360749223*c_0101_4\ ^11 - 110360607848483685160004857972325/54534996365987783525244561*\ c_0101_4^9 + 6728540546343943089995450459866/6059444040665309280582\ 729*c_0101_4^7 - 20857331113163758071372980098468/54534996365987783\ 525244561*c_0101_4^5 + 62881846975465889300504275369/86563486295218\ 7040083247*c_0101_4^3 - 291729642200871719297778580327/545349963659\ 87783525244561*c_0101_4, c_0011_0 - 1, c_0011_1 - 129359034094780822417171/673271560073923253398081*c_0101_4^2\ 6 + 4923397995708189747825232/673271560073923253398081*c_0101_4^24 - 52813679550712775445901901/673271560073923253398081*c_0101_4^22 + 40786608159623651143822647/96181651439131893342583*c_0101_4^20 - 1028583963534178088947613992/673271560073923253398081*c_0101_4^18 + 2934868148687056824616829437/673271560073923253398081*c_0101_4^16 - 6455648388938513933280990310/673271560073923253398081*c_0101_4^14 + 10050838170784080510900963055/673271560073923253398081*c_0101_4^12 - 1508050084305199467944938584/96181651439131893342583*c_0101_4^10 + 7276671989190845767891309598/673271560073923253398081*c_0101_4^8 - 3160345353254451084177134490/673271560073923253398081*c_0101_4^6 + 786372280522124933944670917/673271560073923253398081*c_0101_4^4 - 12513123736106774823913562/96181651439131893342583*c_0101_4^2 + 1572628363350447516084415/673271560073923253398081, c_0011_5 - 137764371679110022216695/673271560073923253398081*c_0101_4^2\ 7 + 5281314684964574034855413/673271560073923253398081*c_0101_4^25 - 57670555007608790352759643/673271560073923253398081*c_0101_4^23 + 45538010208280901234658506/96181651439131893342583*c_0101_4^21 - 1170803282899594033263916445/673271560073923253398081*c_0101_4^19 + 3383320961217462689739171900/673271560073923253398081*c_0101_4^17 - 7583190825456355249260379527/673271560073923253398081*c_0101_4^15 + 12173513505617785715889791657/673271560073923253398081*c_0101_4^13 - 1899058779519392639863940761/96181651439131893342583*c_0101_4^11 + 9559552314652317695844479116/673271560073923253398081*c_0101_4^9 - 4326515869762385877966039990/673271560073923253398081*c_0101_4^7 + 1111038629774219662483947047/673271560073923253398081*c_0101_4^5 - 17096803034798454062451344/96181651439131893342583*c_0101_4^3 - 149994134755554098655113/673271560073923253398081*c_0101_4, c_0101_0 + 11660135195832922329962/673271560073923253398081*c_0101_4^27 - 387186458660301794017509/673271560073923253398081*c_0101_4^25 + 2650557522157076687732112/673271560073923253398081*c_0101_4^23 - 610741578743458891138126/96181651439131893342583*c_0101_4^21 - 15402427542371373390731808/673271560073923253398081*c_0101_4^19 + 100492502574834604527761693/673271560073923253398081*c_0101_4^17 - 413778202300058322792467012/673271560073923253398081*c_0101_4^15 + 1128827731266404843385882979/673271560073923253398081*c_0101_4^13 - 260329258184964960645500445/96181651439131893342583*c_0101_4^11 + 1719286524691484952349525646/673271560073923253398081*c_0101_4^9 - 928730028220717119464368044/673271560073923253398081*c_0101_4^7 + 257524221783151885717772468/673271560073923253398081*c_0101_4^5 - 2720326364650649336565045/96181651439131893342583*c_0101_4^3 - 3749670064552672123453001/673271560073923253398081*c_0101_4, c_0101_1 + 51676099749572608439065/673271560073923253398081*c_0101_4^26 - 1983758040737156036694469/673271560073923253398081*c_0101_4^24 + 21733240116989100736075822/673271560073923253398081*c_0101_4^22 - 17227116497135724631267307/96181651439131893342583*c_0101_4^20 + 444349657129311877464929131/673271560073923253398081*c_0101_4^18 - 1287025045452984182794353823/673271560073923253398081*c_0101_4^16 + 2894526609748336385024709028/673271560073923253398081*c_0101_4^14 - 4671202968349854771999780113/673271560073923253398081*c_0101_4^12 + 734441922136027073451523822/96181651439131893342583*c_0101_4^10 - 3738510588294794592796561096/673271560073923253398081*c_0101_4^8 + 1720180976629743534485675716/673271560073923253398081*c_0101_4^6 - 456148054151687394980406934/673271560073923253398081*c_0101_4^4 + 7742240537002899209412589/96181651439131893342583*c_0101_4^2 - 495406601263562727249856/673271560073923253398081, c_0101_3 - 28067137445290198585523/673271560073923253398081*c_0101_4^26 + 1018750259451651796308455/673271560073923253398081*c_0101_4^24 - 9612661367804421937725047/673271560073923253398081*c_0101_4^22 + 6159882921273847266672517/96181651439131893342583*c_0101_4^20 - 127874169749165095971954129/673271560073923253398081*c_0101_4^18 + 313088702608118844230926143/673271560073923253398081*c_0101_4^16 - 513286751522629273599859769/673271560073923253398081*c_0101_4^14 + 353623303597621512593934498/673271560073923253398081*c_0101_4^12 + 34770188193418962539576479/96181651439131893342583*c_0101_4^10 - 666419783196694269558744027/673271560073923253398081*c_0101_4^8 + 535945565195788645162130385/673271560073923253398081*c_0101_4^6 - 205319661948439275793944141/673271560073923253398081*c_0101_4^4 + 4560783935378200562052998/96181651439131893342583*c_0101_4^2 - 667731182767525354531670/673271560073923253398081, c_0101_4^28 - 39*c_0101_4^26 + 444*c_0101_4^24 - 2589*c_0101_4^22 + 10007*c_0101_4^20 - 30066*c_0101_4^18 + 70908*c_0101_4^16 - 123728*c_0101_4^14 + 152846*c_0101_4^12 - 130541*c_0101_4^10 + 75276*c_0101_4^8 - 28015*c_0101_4^6 + 6093*c_0101_4^4 - 607*c_0101_4^2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB