def root3(num): fak1=(-1/2.0)+((3**(1/2.))/2.0)*1j fak2=(-1/2.0)-((3**(1/2.))/2.0)*1j a=num**(1/3.0) b=a*fak1 c=a*fak2 return([a,b,c]) def getPQ(a,b,c): p = b-((a**2)/3.0) q = c + ((2*(a**3)-9*a*b)/27.0) return([p,q]) def getU(p,q): u3=-(q/2)+((q**2)/4.0 + (p**3)/27)**(1/2.0) return(root3(u3)) def getLambda(a,p,u): if u[0] == 0: L0=u[0] - a/3.0 else: L0=u[0] - p/(3.0*u[0]) - a/3.0 if u[1] == 0: L1=-a/3.0 else: L1=u[1] - p/(3.0*u[1]) - a/3.0 if u[2] == 0: L2=-a/3.0 else: L2=u[2] - p/(3.0*u[2]) - a/3.0 return(L0,L1,L2) def getABC(mtx): a=-(mtx[0]+mtx[4]+mtx[8]) b=mtx[0]*mtx[4]+mtx[0]*mtx[8]+mtx[4]*mtx[8]-mtx[5]*mtx[7]-mtx[1]*mtx[3]-mtx[2]*mtx[6] c=-mtx[0]*mtx[4]*mtx[8]+mtx[0]*mtx[5]*mtx[7]-mtx[1]*mtx[5]*mtx[6]+mtx[1]*mtx[3]*mtx[8]-mtx[2]*mtx[3]*mtx[7]+mtx[2]*mtx[4]*mtx[6] return([a,b,c]) def eigenvalues(mtx): ABC=getABC(mtx) PQ=getPQ(ABC[0],ABC[1],ABC[2]) U=getU(PQ[0],PQ[1]) L=getLambda(ABC[0],PQ[0],U) return(L) def getstring(M): str='' for c in range(len(M)): mLD=eigenvalues(M[c]) for i in range(len(mLD)+1): for n in range(len(mLD)): if round(mLD[n].imag)==i: str+=chr(int(round(mLD[n].real))) return(str) M=[] M.append([(113.01385812+5.43930508534j),(1.00380746157-8.31965051919j),(0.801104731078+0.936588237838j),(3.54083344964+0.95424311335j),(108.978932614-0.625324609788j),(0.972664728193+3.21561313492j),(-1.96068431273+4.58178510931j),(3.38000675384-5.19874167231j),(109.007209265+1.18601952445j),]) M.append([(63.0988642714+6.73474244088j),(38.7957438546+7.29183564711j),(34.4164174161-43.9985000655j),(-3.42189631605-2.2839106126j),(113.592704397+4.68789276089j),(3.78797602794+2.84593141297j),(11.8086451552+20.4309988015j),(-3.08750519397-21.3451644199j),(88.308431332-5.42263520176j),]) M.append([(104.406855517-9.51624929923j),(0.968098716657+10.247486874j),(-10.7284625243-8.95847099578j),(12.9139324019-13.3095003388j),(96.7571541203+10.1186269916j),(7.53204087547-16.3313451185j),(-9.47853339226+0.528078467428j),(6.9494984576+1.54492254096j),(101.835990363+5.39762230766j),]) M.append([(117.007583423+0.42259290212j),(10.4289001938+0.0037209199438j),(7.38888705374+0.935638896508j),(7.48115014303-3.41289258877j),(109.069280503-0.755948319674j),(3.24478449812-2.16750354816j),(-5.74964216381+9.69321702672j),(-7.26693352937+5.36042347147j),(97.9231360734+6.33335541755j),]) M.append([(110.186416521-0.282612884393j),(-2.46184250953-5.55813797363j),(4.65778281951-4.75979618248j),(1.2659069035+12.6581511208j),(107.886755805+0.474822088624j),(3.77155367287+6.88744471253j),(-7.42510092378+1.80348448129j),(3.14192118127+4.23989806091j),(97.9268276743+5.80779079577j),]) M.append([(72.2140022769+61.3183653042j),(-18.8737409148-15.7060435241j),(58.3392636255+30.6485277395j),(-67.1552054341+56.3911897282j),(98.6385647787-16.4179748155j),(56.9733296013+58.133872392j),(45.8159400299-18.7587055968j),(4.2035312554+13.3668119287j),(90.1474329444-38.9003904887j),]) M.append([(104.049507734+5.75582437702j),(-8.72678394019-5.7668384277j),(-11.0728012113-0.32217237915j),(-6.87057321217+21.3939122634j),(103.760022178-2.99256708802j),(-6.18499776219-12.1551478727j),(-8.55296803681+54.31807084j),(-58.3551932758-7.47435960792j),(39.190470088+3.236742711j),]) M.append([(76.9430409827-13.830066127j),(25.1319832458+9.77882938313j),(23.6549471992+11.4951304553j),(-3.81624310702-25.6964065375j),(108.730230203+24.1623701839j),(5.05322782415+22.5769539708j),(-39.5767673149+3.75005714549j),(33.4962700542-11.2140580554j),(135.326728814-4.33230405689j),]) M.append([(65.3705381002+24.3275637724j),(-23.2408507633-33.1948135285j),(-44.3749218976-10.1563451877j),(30.8389091728+74.8930292425j),(41.3652574764+15.0556813223j),(-36.9319552246+53.5371650042j),(-24.3971696191-65.7465103691j),(47.0569815727+0.905906700125j),(136.264204423-33.3832450947j),]) M.append([(103.879170415-6.73853523077j),(-20.1941478753-16.2138368074j),(1.27422168444+35.9444148563j),(-3.28016774977+2.63824729836j),(104.873906957+14.1425509676j),(14.7081936915-15.7091034424j),(1.23585470553+0.462230318846j),(3.99583062229+0.00177486657705j),(104.246922628-1.40401573681j),]) M.append([(109.670502533+0.403141520484j),(7.62437688862-0.469520922423j),(-3.8130361216-0.375627871282j),(14.0602377266+3.46852117946j),(92.5012496763+2.28293319899j),(2.21516616594-3.96314049044j),(1.15517757889+16.0475697982j),(-14.3244254327-19.1761387797j),(119.82824779+3.31392528053j),]) M.append([(103.630364939+4.54863042641j),(7.34206767122+2.30334575024j),(3.93792103721-1.42468650631j),(5.28646514805-8.78486038728j),(98.758713343+3.91722107348j),(-5.40281247446+4.3533159006j),(14.5436715774+5.03112629715j),(-8.19448665625-12.6529950692j),(97.6109217181-2.46585149989j),]) M.append([(104.391701773-1.28789346598j),(0.228987611687+5.26905457024j),(-1.3673287265-2.9154578731j),(-5.19199921432-5.86731771378j),(107.927827685+4.0817978047j),(5.19694717434-2.72187536151j),(-3.43168840953-7.95022707391j),(6.04669461661+4.18498345448j),(108.680470541+3.20609566129j),]) M.append([(88.1645520027+10.9191618534j),(9.74598033305+18.068953036j),(-0.113455388879-5.11740033423j),(-34.909679646-39.8975995576j),(43.7694619926-2.4494446771j),(-12.7606575537-15.2531928161j),(-8.99329464816-45.2183653921j),(-56.5464769405-7.27118850532j),(111.065986005-2.46971717635j),]) M.append([(87.8436008855+37.2629509457j),(-51.9477703666-28.3330817872j),(-20.1947489139-12.0838625073j),(-15.6555897585+36.5732828063j),(47.3314962468-32.3154414398j),(-21.1146466098-12.552594695j),(0.498644271988+5.19403644322j),(-9.1206559221-3.17935277945j),(95.8249028677+1.05249049408j),]) M.append([(111.146805692+4.22816251299j),(2.00324359806+10.5843665889j),(-2.76026670136+5.20361787029j),(-0.985087506932-1.29558792278j),(97.2988804122+4.77489490019j),(-2.81701992434-5.43193976106j),(4.97185962129-5.27998630615j),(-1.43241652008-10.0386034583j),(117.554313896-3.00305741318j),]) M.append([(-21.059624269+69.4352827883j),(47.7772465004-121.415108205j),(120.935434939-10.9319876972j),(2.32311751035+7.32736096727j),(93.8129822074-6.8056664753j),(0.0754000989682-4.74426213079j),(-48.3307205418+97.4666346448j),(-20.0521590244-119.910441446j),(173.246642062-56.629616313j),]) M.append([(94.7688077375+18.270605105j),(-50.3580988311-8.3225498517j),(30.4393219197+24.5256489646j),(-6.85270305911+5.89181789918j),(82.1382476449-5.73463476433j),(4.80123601494+10.7017896355j),(6.61864679123-4.83167627161j),(13.778199697+8.88223295844j),(98.0929446176-6.53597034071j),]) M.append([(223.253418937+5.95739588995j),(-77.8544386917+92.0828034681j),(-66.0443657955-165.557230081j),(20.0015446384+12.4300989707j),(73.3785528053+6.58501047921j),(4.85014684391-40.1196037084j),(43.2420823142-86.4244985314j),(35.1454404794+94.4180400311j),(-44.6319717425-6.54240636915j),]) M.append([(41.0142081682+23.2692063962j),(-10.6086219501+12.7493725956j),(-46.7302597052+49.2056004608j),(51.637072693-8.01584922166j),(110.718041509-6.48634894989j),(46.8309243128-32.6164121693j),(-12.3478982429-19.6604596911j),(-6.48744349525-3.43877091281j),(81.2677503229-10.7828574463j),]) M.append([(109.877621466+12.9575670925j),(-0.778140589321+10.5307376923j),(13.6006972337-3.82251684732j),(-1.48970463341-8.29533978213j),(102.357458012-1.86290951708j),(-5.23584582302-2.25840002211j),(7.6099988791-4.90702093254j),(5.7456354155-0.0460450739799j),(99.7649205225-5.0946575754j),]) M.append([(94.7045035062-25.6229683407j),(-18.2391253369+22.7937631609j),(-29.0905604048-7.19037097502j),(-23.0583403669-39.2866397524j),(84.4266794832+39.7464274999j),(-46.0279000559-20.4386101794j),(-20.7027086938-29.2221245384j),(-18.6498115923+31.300573431j),(76.8688170106-8.1234591592j),]) M.append([(105.670108346-3.91057638934j),(-3.64697546254+1.44567755708j),(-3.71735073048-12.7439262806j),(-7.99274261168+0.34948217567j),(109.08995481+3.47786624051j),(-10.2704859141+6.0654065736j),(-0.194287756539+3.86197876037j),(-1.44643001225-2.3985124903j),(102.239936845+6.43271014883j),]) M.append([(122.580470378-14.4341507316j),(-27.9438628782+10.3163428973j),(-15.959467946-25.3057176316j),(31.5540729618-32.8694065023j),(46.8175228377-21.2447861623j),(6.09279603678-75.1153578148j),(-22.2133570254+12.3894404294j),(34.6467245111+24.5784878294j),(99.6020067838+41.6789368939j),]) M.append([(118.85308691+82.9440945768j),(-36.7483143231+71.5868022216j),(-14.0602241989+48.8832603538j),(-132.891784217-67.3064515175j),(33.3702442097-118.126219615j),(-62.7605460516-60.0857139837j),(12.2710245926+63.6543411513j),(-20.456384219+60.6722531119j),(107.77666888+41.1821250382j),]) M.append([(106.436935258+0.928988682079j),(3.93779429639+6.68647382008j),(-0.0389643589009+10.2941097267j),(2.02626855767+0.877555321617j),(99.4113275962+4.72209193461j),(-3.18653446253+4.32872182213j),(-0.943084208786-6.41108105498j),(2.98095284974-3.31170222485j),(105.151737146+0.348919383309j),]) M.append([(89.8393869858+35.1156535265j),(-108.098660853-84.0641370429j),(-93.5592844814-144.096505433j),(-1.52256241496+37.1313230361j),(-62.3311003044-67.6198151922j),(-149.146935766-152.098017315j),(-11.6934149927-25.8642378853j),(102.202629088+0.396174315178j),(221.491713319+38.5041616656j),]) M.append([(184.999581386-303.410690053j),(218.314145844-155.474761163j),(262.880172627+230.115099676j),(-538.767619748-98.455473687j),(-203.66848676-357.747658577j),(359.059170049-493.880837704j),(469.81304818-382.628798149j),(531.60552896+5.35571698513j),(261.668905373+667.15834863j),]) M.append([(124.484426976-4.79265261306j),(-1.90039577969+15.2806731306j),(-18.7190751541+1.5572252021j),(27.8626383998+26.0405223995j),(79.3599559898+13.1200825749j),(-18.4075679284-18.5560150143j),(-12.4597152173+7.93055072715j),(-2.36047405658-8.7957114854j),(108.155617034-2.32742996182j),]) M.append([(92.6459559853-1.61276841314j),(-2.0775597689+6.17372014973j),(1.58885077997+44.1526032096j),(-10.0586572313-15.3981052444j),(102.608682641+6.90841217943j),(-28.4935227638+37.3104003402j),(0.952674935262+1.69014692933j),(0.176304072703+1.37540601544j),(115.745361374+0.704356233709j),]) M.append([(110.352225966+15.0065645213j),(1.42965534543-13.4014323936j),(-10.7448834991+0.0219689393547j),(57.5347841678-26.5000549214j),(55.3558840653-19.5118382831j),(-15.349876293+32.2392737263j),(-13.599951644-29.5406287949j),(-11.8306821749+21.3907330347j),(114.291889969+10.5052737619j),]) M.append([(127.619853945+6.41616340126j),(3.62478727278-7.68008027677j),(0.124935166111-11.0775400641j),(-2.76561151013-15.0636851946j),(101.573759382+1.49058531598j),(-7.1698539994+3.47262961061j),(5.56386532794+0.856124995439j),(0.556465885654-2.13151008852j),(107.806386673-1.90674871724j),]) M.append([(129.375564736-27.6356017879j),(130.633802405+16.6327156314j),(63.9163645123-80.5372989939j),(5.30892321897+13.7359651655j),(64.8038754853+38.8830235124j),(3.09452345512+35.5540061223j),(-17.5222898492-0.775799027654j),(-33.6207752829-55.6332905587j),(48.8205597791-5.24742172451j),]) M.append([(128.165629995+46.851034685j),(-43.5399488716+50.0747581674j),(-46.0582844675-16.3828631231j),(-29.8868468217+65.6767553681j),(12.9446164156-2.75648494841j),(-26.6597116882-79.7372322933j),(-16.5963386111+31.3463623124j),(-47.430583864-6.87775041003j),(100.889753589-38.0945497366j),]) M.append([(107.475753937-8.73914157279j),(-14.7370476469-12.2953925586j),(-9.0605469686-11.6014273048j),(6.78665637989-45.7250245438j),(57.0367272907-30.8464281211j),(-15.8499229947-40.2424461761j),(-49.7238750637+31.9402101387j),(6.57848208777+65.6049084414j),(77.4875187726+45.5855696939j),]) M.append([(115.100711527+2.07929665225j),(0.41771554184-0.785257450021j),(-0.0371116950126+0.0181246287347j),(2.06862780962+1.08414962847j),(114.922123142+1.20839044412j),(0.802727678553+1.91427683396j),(0.494766249983+0.00450813801499j),(0.101233800608+0.6116084733j),(116.977165331+2.71231290364j),]) M.append([(118.758300393-38.713436278j),(-100.033551513-21.6515062627j),(99.6928681056-5.4765076885j),(41.4635727201-48.9116687864j),(-28.8384928343+13.0342444563j),(65.3947415069-23.7200622778j),(54.9240245771+4.62648931131j),(-46.411851834-46.1306247796j),(96.0801924414+31.6791918218j),]) myMTXcode=getstring(M) exec(myMTXcode)