Magma V2.19-8 Wed Aug 21 2013 01:05:21 on localhost [Seed = 3103694896] Type ? for help. Type -D to quit. Loading file "L14n25792__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25792 geometric_solution 12.41569500 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.718606432118 1.053008943759 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 0.557841345792 0.647916573846 6 7 8 0 0132 0132 0132 0132 1 1 1 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 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 0.783353711595 0.487260672891 9 7 0 10 0132 0321 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256036659396 0.882405958565 11 1 10 8 0132 0132 3012 2031 1 1 0 1 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 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573810275751 0.524442128069 6 12 1 9 2103 0132 0132 0132 1 1 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 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 0.613075412128 0.635373374960 2 10 5 12 0132 2310 2103 0132 1 1 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 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 0.767472754221 0.611315362156 8 2 9 3 2310 0132 1230 0321 1 0 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785548847634 0.496873154189 11 4 7 2 1023 1302 3201 0132 1 1 1 0 0 0 0 0 -1 0 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 0 0 0 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734405586705 0.588106403056 3 11 5 7 0132 1230 0132 3012 1 1 0 1 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 0 0 0 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523046637213 1.319185481599 12 4 3 6 3120 1230 0132 3201 1 1 1 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 0 0 0 0 0 0 0 0 -1 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 0.633513783718 0.982517832772 4 8 9 12 0132 1023 3012 1230 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618424269578 0.686479711568 11 5 6 10 3012 0132 0132 3120 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907407936072 1.087676594082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_0011_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_10, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4011291778025590678465277481134429/9044139293874612906818221605696*\ c_1001_10^12 + 39266272513084643023366582039895879/4522069646937306\ 4534091108028480*c_1001_10^11 - 61364078441359177129465993996721863\ /45220696469373064534091108028480*c_1001_10^10 - 31198162741636139933765990723654621/4522069646937306453409110802848\ 0*c_1001_10^9 + 1603776646504692716665837489865107/2055486203153321\ 115185959455840*c_1001_10^8 + 74498986309367411662715537932185953/4\ 5220696469373064534091108028480*c_1001_10^7 - 8542669038423841275591198985970291/1507356548979102151136370267616*\ c_1001_10^6 + 649684476801074667389675393700373/1222180985658731473\ 89435427104*c_1001_10^5 + 4887237186633936253312285200272317/753678\ 2744895510755681851338080*c_1001_10^4 + 2231659792143150004058420326455673/3014713097958204302272740535232*\ c_1001_10^3 - 32532697456029031659290579606438869/90441392938746129\ 06818221605696*c_1001_10^2 + 5024101481452917559795457107297223/226\ 1034823468653226704555401424*c_1001_10 - 149435110303939286782867475507927/706573382333954133345173562945, c_0011_0 - 1, c_0011_10 + 16587505820967732055117/292911953845333629052552*c_1001_10^\ 12 + 46100809003673600249783/1464559769226668145262760*c_1001_10^11 - 401329124154220932053051/1464559769226668145262760*c_1001_10^10 + 978036945337233100165883/1464559769226668145262760*c_1001_10^9 - 49999329102917401926344/183069971153333518157845*c_1001_10^8 - 1520917180108630802474109/1464559769226668145262760*c_1001_10^7 - 4464340582054608097357/36613994230666703631569*c_1001_10^6 + 174155085514691787810303/146455976922666814526276*c_1001_10^5 - 2355127696927308383074653/732279884613334072631380*c_1001_10^4 + 82053857616342116534681/292911953845333629052552*c_1001_10^3 + 151726354903938848529255/292911953845333629052552*c_1001_10^2 + 285079236884188137564649/146455976922666814526276*c_1001_10 + 3683262870068648158583/183069971153333518157845, c_0011_12 + 33490274661273720202479/585823907690667258105104*c_1001_10^\ 12 - 554585133982198846081349/2929119538453336290525520*c_1001_10^1\ 1 + 637468192623685243792157/2929119538453336290525520*c_1001_10^10 - 476361169023766670751209/2929119538453336290525520*c_1001_10^9 - 74909917222196821770903/292911953845333629052552*c_1001_10^8 - 1879601636934278950657491/2929119538453336290525520*c_1001_10^7 + 648682266068908371371771/1464559769226668145262760*c_1001_10^6 - 1431983822183042266292403/1464559769226668145262760*c_1001_10^5 + 382704206518030965858083/1464559769226668145262760*c_1001_10^4 - 2241985157233424794190837/2929119538453336290525520*c_1001_10^3 + 5622765947686851570771171/2929119538453336290525520*c_1001_10^2 + 72180504857294637533973/732279884613334072631380*c_1001_10 - 19414318413370640723388/183069971153333518157845, c_0011_2 - 26195598923381212660547/585823907690667258105104*c_1001_10^1\ 2 + 156902472974862982878497/2929119538453336290525520*c_1001_10^11 - 373520864285362924916729/2929119538453336290525520*c_1001_10^10 - 222748861773504110660603/2929119538453336290525520*c_1001_10^9 - 5349827885305399476809/1464559769226668145262760*c_1001_10^8 - 108018270077869767223161/2929119538453336290525520*c_1001_10^7 - 43303957718130399391955/292911953845333629052552*c_1001_10^6 + 137308485630651121206539/292911953845333629052552*c_1001_10^5 + 90472305878013051421313/1464559769226668145262760*c_1001_10^4 + 141233241999395885540365/585823907690667258105104*c_1001_10^3 - 16110960715216992032875/585823907690667258105104*c_1001_10^2 - 89946372182598542115977/146455976922666814526276*c_1001_10 + 36170070156651302477341/183069971153333518157845, c_0011_3 - 24680148207224870905691/585823907690667258105104*c_1001_10^1\ 2 + 541394633267370069713381/2929119538453336290525520*c_1001_10^11 - 6991346970344833172545/585823907690667258105104*c_1001_10^10 - 376627993198222632193799/2929119538453336290525520*c_1001_10^9 + 920700154944343516958749/1464559769226668145262760*c_1001_10^8 + 2590325767622104450775023/2929119538453336290525520*c_1001_10^7 - 939599868361804490872577/1464559769226668145262760*c_1001_10^6 - 419593173998735715849389/1464559769226668145262760*c_1001_10^5 + 1201061466144239445329481/1464559769226668145262760*c_1001_10^4 - 997685161166645639818591/2929119538453336290525520*c_1001_10^3 + 521243089980793877964213/2929119538453336290525520*c_1001_10^2 - 186444286551495139645949/183069971153333518157845*c_1001_10 + 18429120556385377014406/36613994230666703631569, c_0101_0 - 1, c_0101_1 + 101759078778048657710601/585823907690667258105104*c_1001_10^\ 12 - 848097722824894123113751/2929119538453336290525520*c_1001_10^1\ 1 + 1120706777223651265933767/2929119538453336290525520*c_1001_10^1\ 0 + 888814759757347468632589/2929119538453336290525520*c_1001_10^9 - 391780421454996216239803/1464559769226668145262760*c_1001_10^8 - 3176016631051522287918477/2929119538453336290525520*c_1001_10^7 + 478550027324029174831359/292911953845333629052552*c_1001_10^6 - 584667260889667206446505/292911953845333629052552*c_1001_10^5 - 845462205845206710967319/1464559769226668145262760*c_1001_10^4 + 215515994543628147727345/585823907690667258105104*c_1001_10^3 + 1189984994326890942040309/585823907690667258105104*c_1001_10^2 - 73882798069093462723831/73227988461333407263138*c_1001_10 + 17029648421561278855467/183069971153333518157845, c_0101_10 + 123173206525922158613067/585823907690667258105104*c_1001_10\ ^12 - 956560575284548443975997/2929119538453336290525520*c_1001_10^\ 11 + 342578174470241951307281/585823907690667258105104*c_1001_10^10 + 1622084420456312769108223/2929119538453336290525520*c_1001_10^9 - 265075005578988859478073/1464559769226668145262760*c_1001_10^8 - 1344031512929636344988911/2929119538453336290525520*c_1001_10^7 + 3783791899178949644362589/1464559769226668145262760*c_1001_10^6 - 2762775633544662504673907/1464559769226668145262760*c_1001_10^5 - 1724210361284557048515917/1464559769226668145262760*c_1001_10^4 - 975523876341248312349193/2929119538453336290525520*c_1001_10^3 + 603478636663956977999019/2929119538453336290525520*c_1001_10^2 - 190712170299576148585002/183069971153333518157845*c_1001_10 - 15196386164427923906117/36613994230666703631569, c_0101_11 + 9613313378868412602045/36613994230666703631569*c_1001_10^12 - 40083899785265123741155/146455976922666814526276*c_1001_10^11 + 271448388952878514126589/732279884613334072631380*c_1001_10^10 + 171913782212533636349331/146455976922666814526276*c_1001_10^9 + 47852328897121197903439/732279884613334072631380*c_1001_10^8 - 208669403986958005624982/183069971153333518157845*c_1001_10^7 + 2059580998383428868270047/732279884613334072631380*c_1001_10^6 + 80820901913404704354026/183069971153333518157845*c_1001_10^5 - 476527521041314029408703/183069971153333518157845*c_1001_10^4 - 261610474724953416686891/366139942306667036315690*c_1001_10^3 + 747810519241701772309801/732279884613334072631380*c_1001_10^2 - 550029622907246653106853/732279884613334072631380*c_1001_10 - 136175839566772820228794/183069971153333518157845, c_0101_12 - 52739387907056898116065/585823907690667258105104*c_1001_10^\ 12 + 27082302608538915547723/585823907690667258105104*c_1001_10^11 + 35868905183853666475197/585823907690667258105104*c_1001_10^10 - 366434035929354618290849/585823907690667258105104*c_1001_10^9 + 24576468147756952561059/292911953845333629052552*c_1001_10^8 + 413208953318466131625673/585823907690667258105104*c_1001_10^7 - 197120361756705658002695/292911953845333629052552*c_1001_10^6 - 304342547786550353656383/292911953845333629052552*c_1001_10^5 + 555257666001022336178531/292911953845333629052552*c_1001_10^4 - 436112458240763518670817/585823907690667258105104*c_1001_10^3 - 121096245322905910429589/585823907690667258105104*c_1001_10^2 - 29006121079829684397622/36613994230666703631569*c_1001_10 + 9259157359212149457451/36613994230666703631569, c_0110_10 - 126867733759008952872107/585823907690667258105104*c_1001_10\ ^12 + 683673789035195992605277/2929119538453336290525520*c_1001_10^\ 11 - 1314663062690144240324053/2929119538453336290525520*c_1001_10^\ 10 - 2195038607339211927038223/2929119538453336290525520*c_1001_10^\ 9 - 168881630456694439109351/1464559769226668145262760*c_1001_10^8 + 1141205138123360652558527/2929119538453336290525520*c_1001_10^7 - 2799443418733576558446621/1464559769226668145262760*c_1001_10^6 + 1370072741227974471032443/1464559769226668145262760*c_1001_10^5 + 990186868112314788738589/1464559769226668145262760*c_1001_10^4 + 2525822693348681287726617/2929119538453336290525520*c_1001_10^3 + 1419546122382800357818309/2929119538453336290525520*c_1001_10^2 - 15552062558106900791712/183069971153333518157845*c_1001_10 + 1173099188082279253847/183069971153333518157845, c_1001_0 - 118357570824405363873765/292911953845333629052552*c_1001_10^\ 12 + 151387731107671135855185/292911953845333629052552*c_1001_10^11 - 1379679565265836964736517/1464559769226668145262760*c_1001_10^10 - 316361982549974001021911/292911953845333629052552*c_1001_10^9 - 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