Magma V2.19-8 Tue Aug 20 2013 23:46:18 on localhost [Seed = 71462414] Type ? for help. Type -D to quit. Loading file "K14n15857__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15857 geometric_solution 10.41215961 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105864213452 0.466191068330 0 5 7 6 0132 0132 0132 0132 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 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928493652647 0.607823507609 8 0 7 6 0132 0132 3120 3120 0 0 0 0 0 0 0 0 1 0 -1 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 -17 0 17 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.118651579446 1.024822796273 9 6 10 0 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.103698656128 1.312791204877 11 6 0 8 0132 1302 0132 1023 0 0 0 0 0 1 0 -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 -16 -1 17 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034325791615 1.092448008348 9 1 7 11 2103 0132 2103 2103 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 0 16 -16 0 0 -17 17 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635708259304 0.485031037163 2 3 1 4 3120 3120 0132 2031 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 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443484605018 0.712049740916 5 10 2 1 2103 3120 3120 0132 0 0 0 0 0 -1 1 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 0 17 -17 0 17 0 -17 0 -16 16 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727055204211 1.326528553594 2 9 10 4 0132 2103 1023 1023 0 0 0 0 0 1 0 -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 -16 0 16 17 0 0 -17 17 -17 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414630565113 0.789495593107 3 8 5 11 0132 2103 2103 1302 0 0 0 0 0 -1 0 1 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 17 0 -17 0 0 0 0 0 16 0 -16 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299659374551 0.327116444177 11 7 8 3 1302 3120 1023 0132 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 0 16 -16 0 0 16 -17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101519256655 0.859505839764 4 10 9 5 0132 2031 2031 2103 0 0 0 0 0 1 -1 0 0 0 -1 1 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 -16 16 0 0 0 17 -17 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785181965143 0.539819747463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 934918983139509317476839722505820253/250512004669708593567404766211\ 2500*c_1100_0^17 + 457415055353055260543943044817385001/12525600233\ 48542967837023831056250*c_1100_0^16 + 1535695357102290888983146488248602879/12525600233485429678370238310\ 56250*c_1100_0^15 - 2906973985664555009691704850335259817/250512004\ 6697085935674047662112500*c_1100_0^14 - 12857867495900434924067363335600797087/2505120046697085935674047662\ 112500*c_1100_0^13 - 16886197143872289836766994741322334523/1252560\ 023348542967837023831056250*c_1100_0^12 - 52609050307262516190596171079874458951/2505120046697085935674047662\ 112500*c_1100_0^11 - 27201777673295957170106985448147105409/1252560\ 023348542967837023831056250*c_1100_0^10 - 46954430860013580185283620080184309737/2505120046697085935674047662\ 112500*c_1100_0^9 - 6712862978389956037533658778687697262/626280011\ 674271483918511915528125*c_1100_0^8 - 382431450712969920700386844907594203/100204801867883437426961906484\ 500*c_1100_0^7 - 1295379654249422648323097904687445521/626280011674\ 271483918511915528125*c_1100_0^6 - 56396572457767882419118486543996171/5010240093394171871348095324225\ 0*c_1100_0^5 - 74189452070816578317923449732415697/1927015420536219\ 95051849820162500*c_1100_0^4 - 431561854303629713800337576374424407\ /626280011674271483918511915528125*c_1100_0^3 + 74730913296157962784970621710738279/5010240093394171871348095324225\ 00*c_1100_0^2 + 80805298332861827154314245224524737/501024009339417\ 187134809532422500*c_1100_0 + 101843051012636317878612953224275841/\ 2505120046697085935674047662112500, c_0011_0 - 1, c_0011_10 + 30035705522771947437561/1796951822970628022893*c_1100_0^17 + 43767762294742953109503/3593903645941256045786*c_1100_0^16 + 388145212302273318567819/7187807291882512091572*c_1100_0^15 - 442893277895925509723265/7187807291882512091572*c_1100_0^14 - 1479723097837612058650283/7187807291882512091572*c_1100_0^13 - 3973065046673666885354573/7187807291882512091572*c_1100_0^12 - 1504283390248089653162956/1796951822970628022893*c_1100_0^11 - 3100089696891781193591683/3593903645941256045786*c_1100_0^10 - 5806068012946632349808445/7187807291882512091572*c_1100_0^9 - 3626025282362901347495015/7187807291882512091572*c_1100_0^8 - 1919223361754753122627383/7187807291882512091572*c_1100_0^7 - 1422165032156981759650749/7187807291882512091572*c_1100_0^6 - 706529869175784227617755/7187807291882512091572*c_1100_0^5 - 335100472827798172118121/7187807291882512091572*c_1100_0^4 - 95165871359817681995474/1796951822970628022893*c_1100_0^3 + 6280511860565036950990/1796951822970628022893*c_1100_0^2 - 43743976801431931833353/7187807291882512091572*c_1100_0 - 13126755713283859140301/7187807291882512091572, c_0011_11 + 39324257052181977673183/7187807291882512091572*c_1100_0^17 + 50106902271925778893315/7187807291882512091572*c_1100_0^16 + 35430305911764702205708/1796951822970628022893*c_1100_0^15 - 76606876278147901276525/7187807291882512091572*c_1100_0^14 - 567756733651538428425633/7187807291882512091572*c_1100_0^13 - 781349959368571265808789/3593903645941256045786*c_1100_0^12 - 2669290353485142286893373/7187807291882512091572*c_1100_0^11 - 3065090660452106599087029/7187807291882512091572*c_1100_0^10 - 734349647141597475837959/1796951822970628022893*c_1100_0^9 - 2128849258295363750015987/7187807291882512091572*c_1100_0^8 - 291902141286774359368577/1796951822970628022893*c_1100_0^7 - 723010991967950698618631/7187807291882512091572*c_1100_0^6 - 426104942668599555464007/7187807291882512091572*c_1100_0^5 - 104254903989979644321581/3593903645941256045786*c_1100_0^4 - 179727996699682673456979/7187807291882512091572*c_1100_0^3 - 57386114813538474596039/7187807291882512091572*c_1100_0^2 - 5065531265319593091899/7187807291882512091572*c_1100_0 - 3356873407116237043351/1796951822970628022893, c_0011_6 - 36159429306321300905975/7187807291882512091572*c_1100_0^17 - 13150710109629477950089/1796951822970628022893*c_1100_0^16 - 138402682498357142656523/7187807291882512091572*c_1100_0^15 + 11456202775805980064039/1796951822970628022893*c_1100_0^14 + 133197610443749679467216/1796951822970628022893*c_1100_0^13 + 381067523418327975396614/1796951822970628022893*c_1100_0^12 + 2710622415030021701711927/7187807291882512091572*c_1100_0^11 + 818852721943471510114401/1796951822970628022893*c_1100_0^10 + 3269063626327940113497927/7187807291882512091572*c_1100_0^9 + 1280948861713979208341611/3593903645941256045786*c_1100_0^8 + 1575140970680381354230937/7187807291882512091572*c_1100_0^7 + 247964486901683652647365/1796951822970628022893*c_1100_0^6 + 294285426108446460040515/3593903645941256045786*c_1100_0^5 + 69546105481913230134351/1796951822970628022893*c_1100_0^4 + 187380557965832017774147/7187807291882512091572*c_1100_0^3 + 16758271866238602035872/1796951822970628022893*c_1100_0^2 + 6658982935316831046539/3593903645941256045786*c_1100_0 + 5127888222773675744513/3593903645941256045786, c_0011_7 - 19383044475979745491686/1796951822970628022893*c_1100_0^17 - 10025932565537849420854/1796951822970628022893*c_1100_0^16 - 60100424867676392281785/1796951822970628022893*c_1100_0^15 + 83469427473588750064199/1796951822970628022893*c_1100_0^14 + 442653323175603662983307/3593903645941256045786*c_1100_0^13 + 1178767740391815885532739/3593903645941256045786*c_1100_0^12 + 1687869753569916802888873/3593903645941256045786*c_1100_0^11 + 821972308783697611877717/1796951822970628022893*c_1100_0^10 + 779662971118478586615849/1796951822970628022893*c_1100_0^9 + 457900410304313118144348/1796951822970628022893*c_1100_0^8 + 259018060511264393956624/1796951822970628022893*c_1100_0^7 + 447064330930586505243157/3593903645941256045786*c_1100_0^6 + 103311719065078460896679/1796951822970628022893*c_1100_0^5 + 104548964315915383636595/3593903645941256045786*c_1100_0^4 + 123952190333373944243955/3593903645941256045786*c_1100_0^3 - 20322740439975625828287/3593903645941256045786*c_1100_0^2 + 22558771597781554730169/3593903645941256045786*c_1100_0 + 1451015608772226554227/1796951822970628022893, c_0101_0 - 53777372074109696982601/3593903645941256045786*c_1100_0^17 - 23083807458899972385913/1796951822970628022893*c_1100_0^16 - 354190581712544347167767/7187807291882512091572*c_1100_0^15 + 351277373125327854648211/7187807291882512091572*c_1100_0^14 + 1385923117067201342830445/7187807291882512091572*c_1100_0^13 + 3709515468643523253025975/7187807291882512091572*c_1100_0^12 + 1454732465783323452972461/1796951822970628022893*c_1100_0^11 + 3084640388772665022184143/3593903645941256045786*c_1100_0^10 + 5821671855967074470098595/7187807291882512091572*c_1100_0^9 + 3830858763125495924888631/7187807291882512091572*c_1100_0^8 + 2034540258053217823310953/7187807291882512091572*c_1100_0^7 + 1421280995428233494924823/7187807291882512091572*c_1100_0^6 + 744451638769861811600633/7187807291882512091572*c_1100_0^5 + 339388655494429207265217/7187807291882512091572*c_1100_0^4 + 182950811350021313292527/3593903645941256045786*c_1100_0^3 + 5941584788255185714134/1796951822970628022893*c_1100_0^2 + 22777480480915767433301/7187807291882512091572*c_1100_0 + 12311055083383789546037/7187807291882512091572, c_0101_1 - 46144646712914497453269/7187807291882512091572*c_1100_0^17 - 29801446974668122735659/3593903645941256045786*c_1100_0^16 - 85390451738951930497361/3593903645941256045786*c_1100_0^15 + 81244886321718598032873/7187807291882512091572*c_1100_0^14 + 654230182794246939994633/7187807291882512091572*c_1100_0^13 + 1849082468949702126124913/7187807291882512091572*c_1100_0^12 + 3220060881083355575705729/7187807291882512091572*c_1100_0^11 + 1904495168540994412376909/3593903645941256045786*c_1100_0^10 + 946266972563604740209179/1796951822970628022893*c_1100_0^9 + 2877429533995768099337681/7187807291882512091572*c_1100_0^8 + 851314685064709399565811/3593903645941256045786*c_1100_0^7 + 1071440576984797672180807/7187807291882512091572*c_1100_0^6 + 612675045519836644408355/7187807291882512091572*c_1100_0^5 + 303747513718762995558811/7187807291882512091572*c_1100_0^4 + 240315482345946697454283/7187807291882512091572*c_1100_0^3 + 40583327075381233444167/3593903645941256045786*c_1100_0^2 + 16052444683708653962065/7187807291882512091572*c_1100_0 + 13977614967196315770597/7187807291882512091572, c_0101_11 + 32082028524842422570599/1796951822970628022893*c_1100_0^17 + 117643975551215245286997/7187807291882512091572*c_1100_0^16 + 423924469938273211642983/7187807291882512091572*c_1100_0^15 - 100617974026467594337468/1796951822970628022893*c_1100_0^14 - 1696263887721516941066329/7187807291882512091572*c_1100_0^13 - 4516127174078916200733365/7187807291882512091572*c_1100_0^12 - 1779361207853789971512590/1796951822970628022893*c_1100_0^11 - 7549850673191505339339439/7187807291882512091572*c_1100_0^10 - 6994230499322833975725595/7187807291882512091572*c_1100_0^9 - 2275319826344177626573489/3593903645941256045786*c_1100_0^8 - 2295443789926643960631297/7187807291882512091572*c_1100_0^7 - 389285693928602302992946/1796951822970628022893*c_1100_0^6 - 837890301455788801555433/7187807291882512091572*c_1100_0^5 - 364268324427644160271029/7187807291882512091572*c_1100_0^4 - 201001576409067152379097/3593903645941256045786*c_1100_0^3 - 14480184683188972127889/7187807291882512091572*c_1100_0^2 - 12747196509603339313471/7187807291882512091572*c_1100_0 - 15394084828171954316989/7187807291882512091572, c_0101_2 + 36159429306321300905975/7187807291882512091572*c_1100_0^17 + 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