Magma V2.19-8 Wed Aug 21 2013 00:18:43 on localhost [Seed = 3103708459] Type ? for help. Type -D to quit. Loading file "K14a17421__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a17421 geometric_solution 10.35283395 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2103 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 -1 1 17 0 -16 -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 1.004545278227 0.788272854302 0 4 3 5 0132 0132 3120 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 1 -1 -17 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534292316556 0.676011721536 6 0 3 0 0132 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004545278227 0.788272854302 6 2 1 0 2031 3201 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854150950336 0.595720167957 7 1 8 6 0132 0132 0132 1023 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 0.611411317100 0.555725905316 6 9 1 7 1023 0132 0132 0132 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 -1 1 0 0 0 -17 17 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611411317100 0.555725905316 2 5 3 4 0132 1023 1302 1023 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534292316556 0.676011721536 4 9 5 8 0132 1023 0132 0132 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 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.620913992035 0.536450065081 9 10 7 4 2310 0132 0132 0132 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 1 0 -17 16 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152783530795 0.692062799714 7 5 8 10 1023 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152783530795 0.692062799714 11 8 11 9 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.223564071009 2.894926664895 10 12 10 12 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464116738880 0.235169385029 12 11 12 11 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567278365470 0.050947812115 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0110_12'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0110_9'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : negation(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_0011_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0101_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_7, c_0110_12, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 47 Groebner basis: [ t - 42134941358703366750500498969584695363813/3268059252495728782*c_100\ 1_0^46 + 2404255170293308347325157042913881205685451/11204774579985\ 355824*c_1001_0^45 - 3443531408088398657681653374532795993145629/16\ 68796214040372144*c_1001_0^44 + 57465851667008997355117752853189669\ 5212538371/39216711029948745384*c_1001_0^43 - 169431144050214927984261204697934984846699383/2011113386151217712*c\ _1001_0^42 + 32272835473613860683296245216710009486865152491/784334\ 22059897490768*c_1001_0^41 - 68913103065001423720581683756749113903\ 207908299/39216711029948745384*c_1001_0^40 + 174842379724799874025315571052292368011427363869/261444740199658302\ 56*c_1001_0^39 - 1802439887442342049458172040809588367428547251325/\ 78433422059897490768*c_1001_0^38 + 268851423238756109767911116669553697350761536705/373492485999511860\ 8*c_1001_0^37 - 676417496428532723861628088363849074405397018441/32\ 68059252495728782*c_1001_0^36 + 43075346692144336949269376887231858\ 990214745312787/78433422059897490768*c_1001_0^35 - 105892073389682964162870032593872723531688508022827/784334220598974\ 90768*c_1001_0^34 + 24189453320823836557288614197800161642363318191\ 6983/78433422059897490768*c_1001_0^33 - 85768136599768809993550414606750026090089813055037/1307223700998291\ 5128*c_1001_0^32 + 170198859937491430801841365398251404512353413406\ 081/13072237009982915128*c_1001_0^31 - 1892285875710028359458155954914140288165900216350979/78433422059897\ 490768*c_1001_0^30 + 5460638518969079814693019066775755092771083451\ 17217/13072237009982915128*c_1001_0^29 - 5302118218786609684330018556777699100940961034399101/78433422059897\ 490768*c_1001_0^28 + 1145576757533399380052052108876026072244219228\ 667387/11204774579985355824*c_1001_0^27 - 2832621048826026295067666695455465287144684156911811/19608355514974\ 372692*c_1001_0^26 + 4982086931015546710492433687881895293486867177\ 208155/26144474019965830256*c_1001_0^25 - 391246840736179932036596447269610082421188684564949/166879621404037\ 2144*c_1001_0^24 + 105367753374951881525631472263735999935365241617\ 00363/39216711029948745384*c_1001_0^23 - 7486509254313076053904996300046952219607668644928203/26144474019965\ 830256*c_1001_0^22 + 5696720862152423633080651282736744748644419869\ 56755/2011113386151217712*c_1001_0^21 - 5087875535559612505727066222950845410347802552630999/19608355514974\ 372692*c_1001_0^20 + 5738774817352781607256694920695819169362885044\ 639191/26144474019965830256*c_1001_0^19 - 1915384746744814009200973271916052042495230165985733/11204774579985\ 355824*c_1001_0^18 + 4788949014615758107444173918941986873891160960\ 278801/39216711029948745384*c_1001_0^17 - 6250430246256072990281267836766098936605453635626133/78433422059897\ 490768*c_1001_0^16 + 3709131546873945370932785742412417885056107964\ 370349/78433422059897490768*c_1001_0^15 - 124452957976259490048676296494205246077305039557242/490208887874359\ 3173*c_1001_0^14 + 228952388484252988679914099869547513170657842335\ 29/1867462429997559304*c_1001_0^13 - 69181805451914052671224742749528446475935710784645/1307223700998291\ 5128*c_1001_0^12 + 132541639920434193066001017042897075750410627084\ 25/6536118504991457564*c_1001_0^11 - 8945575952432920919120576062710560190910071728523/13072237009982915\ 128*c_1001_0^10 + 3952523791238212850498185772600258269752386155603\ /19608355514974372692*c_1001_0^9 - 95778259837818806317125265864013611895236772533/1867462429997559304\ *c_1001_0^8 + 109130745243573723743933198865169606222903641211/9804\ 177757487186346*c_1001_0^7 - 66293604599123458334299335182213651825\ 42691159/3268059252495728782*c_1001_0^6 + 3408103354375637558570763749628339171757868567/11204774579985355824\ *c_1001_0^5 - 954225787400759505839326303034838879931656765/2614447\ 4019965830256*c_1001_0^4 + 1100206057035611603053760952349898824609\ 8027/3268059252495728782*c_1001_0^3 - 5854545674977211168257305678725664695420483/26144474019965830256*c_\ 1001_0^2 + 187360029007008700839567505366426586896939/1960835551497\ 4372692*c_1001_0 - 15398170052037162197357433387548053236439/784334\ 22059897490768, c_0011_0 - 1, c_0011_10 + 96357681351*c_1001_0^46 - 1630812999423*c_1001_0^45 + 15869554791280*c_1001_0^44 - 113791928281536*c_1001_0^43 + 659841211635246*c_1001_0^42 - 3247956874090087*c_1001_0^41 + 13972972375773836*c_1001_0^40 - 53551827464952259*c_1001_0^39 + 185281932264843124*c_1001_0^38 - 584286142490173351*c_1001_0^37 + 1691332466040457102*c_1001_0^36 - 4518086893806931756*c_1001_0^35 + 11182775824913637691*c_1001_0^34 - 25723596273599862524*c_1001_0^33 + 55116525587687945791*c_1001_0^32 - 110182037142316729809*c_1001_0^31 + 205734402224588255767*c_1001_0^30 - 359063326253093364206*c_1001_0^29 + 585924430922641296332*c_1001_0^28 - 893947149295294589456*c_1001_0^27 + 1274796393371445889070*c_1001_0^26 - 1698083997698213830418*c_1001_0^25 + 2110913057042711711048*c_1001_0^24 - 2445953772924499589748*c_1001_0^23 + 2637737318326797298935*c_1001_0^22 - 2642502411303918819788*c_1001_0^21 + 2453809814559048440664*c_1001_0^20 - 2106604467216102114144*c_1001_0^19 + 1667006757395003946928*c_1001_0^18 - 1211733322198910458368*c_1001_0^17 + 805916121416420718372*c_1001_0^16 - 488277359932451613808*c_1001_0^15 + 268157514671609301711*c_1001_0^14 - 132761053748295805679*c_1001_0^13 + 58891852494809668992*c_1001_0^12 - 23248051651460945888*c_1001_0^11 + 8104699452698242886*c_1001_0^10 - 2473420042218579571*c_1001_0^9 + 654046261720246544*c_1001_0^8 - 148009385266611599*c_1001_0^7 + 28224488900428034*c_1001_0^6 - 4445220281869237*c_1001_0^5 + 562577068587614*c_1001_0^4 - 54976649468764*c_1001_0^3 + 3893598897669*c_1001_0^2 - 177879485175*c_1001_0 + 3937494715, c_0011_3 + 8771789040775416*c_1001_0^46 - 170410149305642234*c_1001_0^45 + 1796939213668621892*c_1001_0^44 - 13661642629889059168*c_1001_0^43 + 83036320763405525874*c_1001_0^42 - 425303865885912513618*c_1001_0^41 + 1894451940855518029240*c_1001_0^40 - 7490936995108274249028*c_1001_0^39 + 26669782477409561302902*c_1001_0^38 - 86370988645932360149132*c_1001_0^37 + 256362786858655422073970*c_1001_0^36 - 701353602489783672302236*c_1001_0^35 + 1776115561382515160447638*c_1001_0^34 - 4176954633414119649446621*c_1001_0^33 + 9144274750083949147088208*c_1001_0^32 - 18668150530390103180704256*c_1001_0^31 + 35583055181191608100229380*c_1001_0^30 - 63373169328093497428545784*c_1001_0^29 + 105498899130443680487865362*c_1001_0^28 - 164164438524521111733929902*c_1001_0^27 + 238708259866831523405316622*c_1001_0^26 - 324151527294914732339749281*c_1001_0^25 + 410699376980762376526602868*c_1001_0^24 - 484912971574141622964783210*c_1001_0^23 + 532714905721360927749175482*c_1001_0^22 - 543493404562841381113342753*c_1001_0^21 + 513779240443316041488670590*c_1001_0^20 - 448827102074389661616598727*c_1001_0^19 + 361198734381554083283401549*c_1001_0^18 - 266816508609460158534668520*c_1001_0^17 + 180172004165911671302979638*c_1001_0^16 - 110697631515928691462241162*c_1001_0^15 + 61557478512556612375121940*c_1001_0^14 - 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PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.840 Total time: 3.060 seconds, Total memory usage: 32.09MB