K=5, two link truncation, nonzero transverse momentumn
couplings={mub,muf,g2,kappas,kappaa,beta,
           lambda1,lambda2,lambda3,lambda4,lambda5}

couplings = {0.1803, 0.362, 1, -0.323, 0.162, 0.688, -0.038, -0.09, 374, 
     0.158, 143}

Eigenvalues for a*Pperp={0.11234, 0.24567}
{0.3137029193237959, 0.32680180267502307, 0.32706230693189997, 
 0.34100328739282953, 1.4346553865333123, 1.4387953380226424, 
 1.452049213411545, 1.4530113361725039, 1.453368697123701, 
 1.4567322222183046, 1.4568655367108907, 1.4615926304265645, 
 1.4676636052045942, 1.477393709048195, 1.4803192777775807, 
 1.5146876763504242, 1.653239165072826, 1.6727603658529262, 
 1.6732358524320674, 1.6933076214123202, 1.754831199103532, 
 1.761520473595837, 1.7616302563422284, 1.768495906997009, 
 2.2677350996051664, 2.27082881333522, 2.2829437757422637, 2.29048818002691, 
 2.3002560145726774, 2.3010688384598708, 2.3026681519584944, 
 2.310704888593035, 2.3165941804390733, 2.31770423384388, 2.3196382302550353, 
 2.332465092548589, 2.662830874077378, 2.667952722042329, 2.6685176989818724, 
 2.675165183791678, 2.6997020644340894, 2.7168075928148516, 
 2.7171470095356263, 2.7384386307700033, 2.7897633935946167, 
 2.7931887432201066, 2.8040127081258555, 2.8137356823087214, 
 2.8158494887469177, 2.8211876282113404, 2.823364688304114, 
 2.8291719015333703, 2.832850974157906, 2.833987372021997, 
 2.8389834130597573, 2.845689446810107, 2.8465035083909194, 
 2.848468631982872, 2.855742583557474, 2.8564860906903013, 
 2.8602482222814833, 2.8648235942027025, 2.8684341655587358, 
 2.8781340575416725, 2.8813094838594195, 2.882641759251036, 
 2.885012817340146, 2.888700140061436, 2.890783016682135, 2.893338051433242, 
 2.898609850499149, 2.898614032644327, 2.9019595353903465, 
 2.9041754698656046, 2.909302839924137, 2.9108020832703407, 
 2.911042793784362, 2.9130597113955066, 2.9171685733291093, 
 2.9184279510059117, 2.936956146550801, 2.9432539507766338, 
 2.9469651473011735, 2.9481269098035066, 2.9487219284929513, 
 2.9614060032621037, 2.962262835362305, 2.9631278555714036, 
 3.0631914725960017, 3.0697806915663377, 3.0705074014101226, 
 3.0706209667665636, 3.1084692297572345, 3.1129968565505295, 
 3.1144047121368095, 3.1163941303442546, 3.1323321002722904, 
 3.138801440527523, 3.1435747352424803, 3.1443273496427357, 
 3.145483618594206, 3.1476684776799697, 3.150399434647816, 3.150701211070231, 
 3.201787767998977, 3.202171966073472, 3.215301121219159, 3.216865435401657, 
 3.2185876333188315, 3.220033534868033, 3.220318805398507, 3.221481297488213, 
 3.222376627728777, 3.2288485071134687, 3.2291523565134046, 
 3.2313065707550046, 3.2321890083140836, 3.2378155347377033, 
 3.244968472682295, 3.2546571394721555, 3.3485618920303715, 
 3.3598091762617197, 3.3621468911477765, 3.363042740720954, 
 3.373645284633982, 3.383005117876638, 3.3835096833861997, 
 3.3842637702855445, 3.385875761039795, 3.387322585263234, 3.395974708515267, 
 3.396238011206135, 3.3972851029143465, 3.407862519105628, 
 3.4223948274069236, 3.4227172018554772, 3.426848101647881, 
 3.4368009879993857, 3.4431071276902325, 3.444926973204821, 
 3.4479363590492667, 3.4515622398994803, 3.4522573070535256, 
 3.4547955217143325, 3.4677184191645507, 3.4707877704125525, 
 3.473145481296669, 3.4734227407308933, 3.4788385554062744, 
 3.4819766791294255, 3.484315314904277, 3.4851552809796535, 
 3.4853752688854502, 3.487514186946138, 3.490206564055515, 3.495464684699101, 
 3.507636834356209, 3.513311292685099, 3.519690617721512, 3.520719759789037, 
 3.525095632486018, 3.5452521357743056, 3.5485363391402895, 
 3.5492081688651407, 3.5565710508886816, 3.55771267914203, 3.56081150873807, 
 3.56469138242237, 3.565837072592095, 3.567171484046331, 3.5681861450282626, 
 3.5771678775419566, 3.588783665813505, 3.591885644531911, 
 3.5979023638851926, 3.599310412238816, 3.601040864336634, 3.608438457617123, 
 3.609030104356631, 3.610825037359121, 3.6121182143321917, 
 3.6159379115026957, 3.618863512669763, 3.63037282468246, 3.6349114425693902, 
 3.6383258376554832, 3.6391364625881444, 3.63941152642892, 
 3.6412306394767304, 3.6425109254671515, 3.6517883233139976, 
 3.6529746628455504, 3.6833071961927644, 3.6840334769926137, 
 3.6886497032154466, 3.691193839933029, 3.695371397699955, 3.699117203997028, 
 3.7028072225732553, 3.7036930348286896, 3.7078625942466115, 
 3.70987555693832, 3.7115955226095765, 3.7150022404215437, 
 3.7151016513988284, 3.7173254999811904, 3.7218484751841774, 
 3.7267680770592846, 3.732601650700388, 3.7348245142016245, 
 3.7356491587033305, 3.737186740827928, 3.738461114824336, 
 3.7400472680262937, 3.740181167773485, 3.7512415743425267, 
 3.7518118019381386, 3.7521697158521725, 3.756798342804586, 
 3.758052535107756, 3.765132897000758, 3.781297719335911, 3.781853237690628, 
 3.782183032149169, 3.795945462211205, 3.7965061278537164, 
 3.7977494810228394, 3.7999391031052907, 3.8268722440147918, 
 3.827076065441779, 3.8296743797965993, 3.830115837066686, 
 3.8308002346452534, 3.831566546863394, 3.837394662411122, 
 3.8382774900443573, 3.8394630423929925, 3.83991678593503, 3.849281327843853, 
 3.85098191050415, 3.856321341617028, 3.859237223487356, 3.8723452302625287, 
 3.8725034851035502, 3.878505782970684, 3.879206991804739, 
 3.8863794967762493, 3.88932742679782, 3.8900472115948883, 
 3.8912863854883324, 3.89238784804642, 3.8962582218594775, 
 3.8971809632288337, 3.9004221144496594, 3.9010122119276534, 
 3.931421270649064, 3.9524709826347135, 3.953596603749827, 
 3.9536676877945993, 3.9539406325539, 4.039137163960189, 4.0410961581356135, 
 4.041528885365725, 4.053825290977038, 4.259811853332201, 4.2604654370560295, 
 4.260605652415167, 4.264485827989418, 4.278909105711538, 4.2792167910971415, 
 4.293099845130699, 4.29356800348506, 4.300267491274703, 4.3017887638517225, 
 4.302370416170702, 4.302765377491497, 4.3164080353354395, 4.317586632795417, 
 4.323164991463997, 4.323657745041241, 4.330169788410025, 4.33482633969506, 
 4.335858210063429, 4.3399440500333055, 4.344335563092056, 4.345323108836124, 
 4.3456912379722175, 4.346407992240992, 4.347115532989324, 4.347982009159486, 
 4.348987012713966, 4.3501116426330935, 4.432421619962475, 4.439990987059756, 
 4.457126440275207, 4.457786841541903, 4.45867698107338, 4.459460856392802, 
 4.476173879354976, 4.477389763353683, 4.483435572490977, 4.483569709811904, 
 4.483608062723911, 4.4891494313442255, 4.510486871471249, 4.51071864936847, 
 4.512110221441248, 4.528290970883011, 4.548696610382244, 4.5505829720739435, 
 4.5555383109563365, 4.5577692303247135, 4.558571503156841, 
 4.564960105775968, 4.566471926257958, 4.576759590246623, 4.580198105603187, 
 4.580394501587915, 4.580536456492567, 4.580888121655726, 4.582676525304391, 
 4.589855024987717, 4.590759959335366, 4.590849567542109, 4.594593361221825, 
 4.595209952536149, 4.595440671188279, 4.598465109272028, 4.609350889207969, 
 4.609868412580002, 4.612374791885717, 4.623839800351391, 4.630470235662094, 
 4.641637744850704, 4.642501883159655, 4.6483609930152285, 4.704056422322532, 
 4.711461028529436, 4.713158739666661, 4.719991689466099, 4.721016630194056, 
 4.7224987758397035, 4.723526159817015, 4.73181428572768, 4.751169763291407, 
 4.752222095772979, 4.75248901522964, 4.75291105479159, 4.753878050840207, 
 4.753971713321337, 4.757844247001865, 4.758538324595065, 4.758845010057993, 
 4.761424306526241, 4.765389009480382, 4.776875534268424, 4.777065869805958, 
 4.7863855638359505, 4.793405353382802, 4.794916823401218, 4.795858641110491, 
 4.796136147847422, 4.797419174322364, 4.798736269022002, 4.8009459149268485, 
 4.801141796428527, 4.802377392767831, 4.803728127613652, 4.804336061341399, 
 4.805119480290669, 4.80907728349594, 4.811947735836678, 4.812130470251469, 
 4.818537039479992, 4.820213015355365, 4.825979911013519, 4.829814780795509, 
 4.830412237422637, 4.839088395790759, 4.842175765647902, 4.842503250675952, 
 4.842535992305979, 4.844551140723443, 4.845643008273275, 4.848390548515549, 
 4.857205131443635, 4.857835192836962, 4.858366853258114, 4.9612009440973255, 
 4.96314512789394, 4.96337954177703, 4.963755590841521, 4.967071562145927, 
 4.971946984447545, 4.973494963226229, 4.986826345831365, 4.994188607107429, 
 4.99710437901107, 5.001569699655661, 5.007338543851062, 5.007362326500465, 
 5.010169006995152, 5.010547527195954, 5.011491733223871, 5.0235873587240585, 
 5.029127101542252, 5.029241405166972, 5.038305537180793, 5.04527991115177, 
 5.047188774380677, 5.050137949583626, 5.051168059581371, 5.051549462118312, 
 5.052465775452143, 5.052789762004422, 5.0548685142455625, 5.061572609647086, 
 5.07824094547657, 5.078917094057776, 5.0964552443066955, 5.103655848811065, 
 5.103827239009597, 5.103857033350579, 5.103945716333905, 5.146522614477441, 
 5.149158027130765, 5.160416072518811, 5.161503008354279, 5.162182849508438, 
 5.163328279903929, 5.173742871518529, 5.178328061282548, 5.206066758410705, 
 5.206874557199738, 5.2070128010135415, 5.2075333492342315, 
 5.257643212858244, 5.260234148238238, 5.260253308733558, 5.267179058345642, 
 5.349277488562985, 5.352523694790215, 5.360539418553648, 5.361161164385629, 
 5.364087801881455, 5.364863652794428, 5.371668442865294, 5.3786668310271075, 
 5.397239706140643, 5.397611312965393, 5.397666022254346, 5.398075150178432, 
 5.488809664973543, 5.4910404314118235, 5.496840071896149, 5.496948732690589, 
 5.499019016937785, 5.499242440748543, 5.499726103311674, 5.501860547145874, 
 5.506104590457168, 5.507631128282283, 5.508821789842531, 5.525991177952921, 
 5.609337198660019, 5.60962661229473, 5.610263021375084, 5.6120087365227675, 
 5.615776789957335, 5.620012061735222, 5.626625068321057, 5.626774833705772, 
 5.638935584702879, 5.639345583104474, 5.6439496520858405, 5.648564156014215, 
 5.648905393131347, 5.653326560255216, 5.653698996792374, 5.668831735685688, 
 5.68702662335846, 5.691836019802456, 5.69367240612242, 5.69391076639474, 
 5.749355931670886, 5.750965871667464, 5.756489239602396, 5.757871805030967, 
 5.762158211522543, 5.762410804570906, 5.763070833762273, 5.763961485590491, 
 5.765487599873164, 5.766575431064737, 5.770419700116345, 5.772429361132847, 
 5.77582174539991, 5.77646151324372, 5.780589360218435, 5.7896366188582435, 
 5.789924434525685, 5.793842732521229, 5.794978934849169, 5.795506896801891, 
 5.796172034886824, 5.797163491381531, 5.801245182095487, 5.8080763020919255, 
 5.808235009704568, 5.8300468811199595, 5.830675672930251, 5.836794019891888, 
 5.895170470468859, 5.895176168514907, 5.898818561921855, 5.899095313653324, 
 5.89918229492432, 5.9034312213788205, 5.903721097885224, 5.905112478772277, 
 5.905287702995323, 5.907313292205016, 5.907631199300532, 5.908201305691908, 
 5.908406927562111, 5.908505552660515, 5.908774838423548, 5.909009101499476, 
 5.915434771576609, 5.920525898743792, 5.921369554744431, 5.924212620225433, 
 5.925510752758107, 5.927322463355011, 5.928443929139633, 5.930183782581225, 
 5.930882158935786, 5.930917930579344, 5.931756151695071, 5.934635579288297, 
 5.935722497924798, 5.937967626927898, 5.941449987097147, 5.944811515903229, 
 5.9468036607834325, 5.947188471412834, 5.953546817617282, 5.954362456891438, 
 5.957476608249496, 5.959907481398083, 5.963178733229704, 5.964599844785798, 
 5.96683533015308, 5.967428023948872, 5.978009281779783, 5.978226490712046, 
 5.985974632548877, 5.991272192887921, 5.991885210439359, 5.996040388638763, 
 6.010646314989427, 6.011035348427726, 6.019801932534279, 6.028375401786759, 
 6.119302946323329, 6.121022146799866, 6.121803983569433, 6.122230659352184, 
 6.129989883821876, 6.136651247400382, 6.138334477889298, 6.141744498018987, 
 6.144481943020322, 6.1524925446435415, 6.155667888192615, 
 6.1602679694882845, 6.163743222698822, 6.169574438882587, 6.169805637038602, 
 6.18341575711529, 6.19664782092145, 6.197134421572537, 6.197225793390127, 
 6.197936221493185, 6.223855050651659, 6.223856962468897, 6.2309802278702255, 
 6.230996482700736, 6.237851013744175, 6.238109453068924, 6.239386926410957, 
 6.239555080908671, 6.240684593877172, 6.240803776683745, 6.2416728380022155, 
 6.241680462767331, 6.245377318732143, 6.246619882291272, 6.255609881275798, 
 6.257760020492732, 6.2582913241636575, 6.2645130919439325, 
 6.273716245834523, 6.275947178639707, 6.2783723264914, 6.27880195421466, 
 6.283330314334745, 6.283874206912348, 6.285815603155793, 6.286248879819153, 
 6.2868426440938405, 6.288669805502492, 6.302730159432324, 6.303790087193848, 
 6.3105439648016795, 6.311002486432965, 6.317683189314542, 6.318848759898159, 
 6.322748837362778, 6.322884727512722, 6.324401059152768, 6.326261836309931, 
 6.328391880282475, 6.328814163747346, 6.333437693540938, 6.337059781072353, 
 6.337951547756319, 6.338527015640818, 6.352128421990026, 6.355048730706751, 
 6.355717773888088, 6.356354382288304, 6.356863893276423, 6.362561926006028, 
 6.362724209647446, 6.364429393156049, 6.365286831794058, 6.365662370876481, 
 6.377341630886766, 6.38237967959883, 6.382687094894743, 6.383007891761878, 
 6.383063257985227, 6.383747746703791, 6.423518351580241, 6.426080307893448, 
 6.426257436930713, 6.430557170377716, 6.527794037159284, 6.529797746879648, 
 6.534180184367651, 6.539836754133709, 6.539995933015022, 6.5402674354342585, 
 6.542724184447806, 6.543894093679459, 6.54506245216932, 6.550226636037865, 
 6.552290803429506, 6.572190569272327, 6.597831672194509, 6.5981133026376995, 
 6.603573287844584, 6.603970532337752, 6.6065738188769565, 6.607011843318303, 
 6.610299469717042, 6.615283960694711, 6.618603803915243, 6.618968250309306, 
 6.619080901055425, 6.619182140933837, 6.662472023353689, 6.663628690868773, 
 6.66741210418878, 6.6675227649227224, 6.668317360461015, 6.668671033843036, 
 6.6751305899817694, 6.675153299523674, 6.675720628406503, 
 6.6757629435698185, 6.6849775834428895, 6.6862957426430265, 
 6.87813716941874, 6.878215275077604, 6.878569143056297, 6.878605704896762, 
 6.9672286593646815, 6.9672304519003605, 6.969458666975773, 
 6.969467094784051, 6.973786421679543, 6.973853422226034, 6.975302194694514, 
 6.975967701078814, 6.976021770868486, 6.976502727441328, 6.9775526700341075, 
 6.977576341339805, 6.987721647422687, 6.987802307846925, 6.9887225440791685, 
 6.992244975712995, 6.994499431907571, 6.994989637142935, 6.999265590178951, 
 7.000324612044685, 7.004442810264143, 7.004932233291521, 7.010440364207641, 
 7.011007112193409, 7.0112815280094, 7.01631086295986, 7.0166671152713835, 
 7.018274857207408, 7.021124935610964, 7.021712805604852, 7.024260973719758, 
 7.0246316904194055, 7.063073039649271, 7.063300456042559, 7.068238477644195, 
 7.075901066050434, 7.07706989863153, 7.098576967037188, 7.0992331968897755, 
 7.139855169478885, 7.163173926175405, 7.163258810844317, 7.165388070843299, 
 7.165446256524396, 7.165529137945838, 7.165774793079319, 7.172892515017401, 
 7.182064001964521, 7.2355675963064385, 7.2795115534659, 7.280245661729874, 
 7.315379645515593, 7.362615415707457, 7.363745481237579, 7.364821856519353, 
 7.366764602239198, 7.639982383758872, 7.641111626418571, 7.646973717608405, 
 7.647755051211815, 7.649071801799325, 7.649560070400406, 7.651605136111305, 
 7.6549283563088535, 7.655467434447575, 7.660868058686374, 
 7.6626218678697455, 7.674927482087064, 8.300168418682004, 8.300170154443931, 
 8.301567701123062, 8.3015909163148, 8.303586661261617, 8.303716000987693, 
 8.304399818139064, 8.304514035314785, 8.304735781441801, 8.304924190165464, 
 8.305029981228458, 8.3050892915031, 8.309541063358573, 8.309865316078653, 
 8.311235245976995, 8.312165560118281, 8.312225503370962, 8.312543745842056, 
 8.312839415147744, 8.313390842935572, 8.318285807028564, 8.318455751663576, 
 8.319385715956754, 8.319731872468338, 8.321189387984486, 8.321611070998172, 
 8.322049860516284, 8.322158157506575, 8.323338140326754, 8.323373046820395, 
 8.328402810432571, 8.328413679434487, 8.332217136368461, 8.332329590843619, 
 8.337733769440595, 8.340839955653351, 8.417294471578764, 8.417628661101702, 
 8.421194114730934, 8.42139379747432, 8.42168704874338, 8.42183261593144, 
 8.42243103046147, 8.423014696481209, 8.423059716284264, 8.423467503270674, 
 8.427150514806334, 8.42854199023787, 8.520141845496596, 8.520337290755307, 
 8.521565963060475, 8.522203956177764, 8.522227150748591, 8.522247397427448, 
 8.522391539853137, 8.522973258600121, 8.523669095045504, 8.525406010388041, 
 8.526085865473483, 8.530515722435565, 8.64740139993913, 8.648815193925039, 
 8.64888903070716, 8.650352599056774}

Eigenvalues for a*Pperp={0, 0}
{0.3111288515413124, 0.32455650160653854, 0.32455650160654703, 
 0.3388484949193262, 1.4365469186333184, 1.4427427186792965, 
 1.4526871754257862, 1.452687175425792, 1.454732456517121, 1.454732456517134, 
 1.456541301603151, 1.461340174531739, 1.4620823771517724, 
 1.4797203597937123, 1.4797203597937152, 1.5146887230572197, 
 1.6475004705312026, 1.668439199591284, 1.6684391995912848, 
 1.6897629677003307, 1.7550873165084695, 1.7619231516893648, 
 1.7619231516893845, 1.768914728745098, 2.275918132390231, 
 2.2812587178799255, 2.2855243412122963, 2.285524341212305, 
 2.295787757688886, 2.303346154107812, 2.303346154107822, 2.3109449436934857, 
 2.3188744222617412, 2.3200297091229674, 2.320029709122992, 
 2.3331391892461135, 2.6671275244552843, 2.6728825802290324, 
 2.6728825802290412, 2.680205179961355, 2.694775321738641, 2.713153213645299, 
 2.7131532136453016, 2.7354674226759252, 2.8003901533462994, 
 2.8057178730466927, 2.8076147669185696, 2.80761476691858, 
 2.8157876269140516, 2.821759389701771, 2.8289385525569823, 
 2.8289385525570045, 2.834588493714412, 2.834588493714427, 
 2.8392788197870393, 2.848124325485228, 2.849826472589498, 2.849826472589499, 
 2.8557750440864957, 2.860094709897825, 2.8667714407761937, 
 2.8673379031340236, 2.8673379031340285, 2.8747441938371545, 
 2.8854170165845856, 2.8854601413725045, 2.8854601413725067, 
 2.8863629729056703, 2.8873013638895304, 2.899156048407971, 
 2.899156048407972, 2.89929576695099, 2.9038305797443487, 2.903830579744359, 
 2.9105936050645456, 2.910680451751382, 2.9107289213810454, 
 2.9107289213810534, 2.915763094725651, 2.918599395295377, 2.936176751050506, 
 2.9435552721681444, 2.946101645592405, 2.946101645592416, 2.948501384429056, 
 2.960803289635084, 2.962091766537943, 2.9620917665379487, 3.06304148661385, 
 3.070612654588274, 3.070968068470639, 3.0709680684706466, 
 3.1088213934322124, 3.1141367768390786, 3.1141367768390826, 
 3.117124775078057, 3.133052308151906, 3.141953596017238, 3.1419535960172458, 
 3.146635764332679, 3.1466957148513894, 3.1493908349332793, 
 3.1493908349332864, 3.1497398178256333, 3.20391838929879, 
 3.2044731453135022, 3.216595214560806, 3.2174501002492777, 
 3.2174501002492835, 3.2184475604732143, 3.218447560473216, 
 3.2208598739993564, 3.2304053003003066, 3.2320599188179537, 
 3.232059918817966, 3.2330138924320746, 3.233013892432078, 3.235422369583029, 
 3.236350595234023, 3.2558972637662564, 3.347519746084316, 3.360945289520779, 
 3.360945289520788, 3.3616685045703556, 3.3752663527653213, 
 3.3818961513013015, 3.3818961513013037, 3.382546084538633, 
 3.3866231481534563, 3.386623148153461, 3.3943299767057455, 
 3.395703987978766, 3.3957039879787674, 3.406948167348558, 3.421775704100079, 
 3.424815671078872, 3.426607424784472, 3.4365169204770627, 
 3.4446349909022516, 3.4446349909022524, 3.447420896320132, 
 3.4530174721717666, 3.4530174721717697, 3.453096376754028, 
 3.4660500140226795, 3.47345739186279, 3.4741244834338656, 
 3.4741244834338674, 3.4805254414306135, 3.4821750020797992, 
 3.4858766061833584, 3.486340333873934, 3.4863403338739403, 
 3.487997623948897, 3.487997623948899, 3.498768551957813, 3.507556111902299, 
 3.507556111902301, 3.5185467413425897, 3.520979028448913, 
 3.5251661664489995, 3.5490125510224972, 3.549012551022502, 
 3.5521676341340904, 3.5567724821336975, 3.5582238808787103, 
 3.558223880878711, 3.561213827295487, 3.566045791322318, 3.566045791322321, 
 3.5686793044774445, 3.574629853205045, 3.588977579479808, 
 3.5889775794798116, 3.5976650420641856, 3.5982644734110623, 
 3.5998327827838397, 3.60886574537701, 3.608865745377016, 3.6089029960835726, 
 3.612847917470132, 3.6172708651872325, 3.6172708651872334, 
 3.6287069567317642, 3.6332703188447213, 3.639402426946715, 
 3.6394024269467176, 3.6394599753551042, 3.6410069857641596, 
 3.643291377321844, 3.6518064980765637, 3.651806498076567, 
 3.6816233089510653, 3.68249747031857, 3.693550751121841, 3.6960275175133406, 
 3.6960551476881824, 3.6960551476881833, 3.705422844544805, 3.70542284454481, 
 3.708120268648887, 3.711298228210792, 3.7132604970089145, 
 3.7132604970089154, 3.7151438553236185, 3.7151438553236233, 
 3.7165956737146364, 3.725707215698401, 3.729490564474735, 3.729490564474736, 
 3.733005467523707, 3.7338871732309675, 3.7353407386117885, 
 3.7357030254756953, 3.7357030254756967, 3.7511835982110604, 
 3.7516076725686043, 3.751607672568607, 3.7556240974554864, 
 3.756979083390235, 3.7632350971351034, 3.7801803468219917, 
 3.780180346821993, 3.7817681357324124, 3.79713288713222, 3.7971542346594065, 
 3.7979446786419913, 3.797944678641992, 3.8255970122140295, 3.82615387587082, 
 3.830447274968284, 3.830447274968289, 3.8308333301335207, 3.831813194098558, 
 3.8357066174020553, 3.8357066174020584, 3.8391397421096607, 
 3.8391397421096687, 3.847340291800535, 3.849293750298853, 
 3.8541438636268937, 3.8584405261805257, 3.871116836941152, 
 3.871116836941154, 3.8780823554913004, 3.878082355491305, 
 3.8851491383033694, 3.8882591403285534, 3.8895440729895365, 
 3.8899621236460886, 3.8929558691088273, 3.8949139649835107, 
 3.894913964983518, 3.899919601641787, 3.899919601641789, 3.931173954926824, 
 3.951351202384032, 3.9526151619937036, 3.952626810313156, 
 3.9526268103131605, 4.039574807533706, 4.041097688855006, 4.041097688855008, 
 4.053838973563478, 4.262080009002993, 4.262080009002994, 4.2623851419811984, 
 4.266500419545972, 4.278771315720262, 4.278774906471253, 4.292750656669517, 
 4.293803995821904, 4.301182853069447, 4.301182853069447, 4.3021947905038465, 
 4.302194790503849, 4.317054958963779, 4.317054958963781, 4.323663353881787, 
 4.323663353881791, 4.330335989791332, 4.33511253563542, 4.336723800527117, 
 4.340420164364871, 4.34491196901822, 4.346923335384644, 4.34738391344006, 
 4.34738391344006, 4.348228126606825, 4.348228126606826, 4.3483499916716895, 
 4.348394583073167, 4.431997819404575, 4.439793918837601, 4.457325869393312, 
 4.4573258693933155, 4.458345266093758, 4.458345266093763, 4.476260297571783, 
 4.476605082801407, 4.483776626027034, 4.483776626027036, 4.483945360543245, 
 4.488918309949133, 4.508809101317629, 4.508809101317631, 4.5100256694894805, 
 4.527277765607737, 4.5483726872593975, 4.550531723156316, 4.556111054728722, 
 4.5561110547287225, 4.557746967926782, 4.5647100497240585, 
 4.564710049724063, 4.577952624861791, 4.579997533504504, 4.580071577229822, 
 4.580071577229823, 4.58012824402417, 4.5819622811810055, 4.589950526640012, 
 4.590072705314268, 4.594439836970955, 4.5944398369709605, 4.594552268774459, 
 4.595200269643876, 4.595200269643879, 4.610182583584135, 4.610182583584137, 
 4.612033117376744, 4.6240056385898, 4.631632134210904, 4.643750309207812, 
 4.643750309207817, 4.650288541575456, 4.708212590133547, 4.718292822083686, 
 4.718292822083687, 4.720175564386475, 4.723486523688026, 4.723486523688026, 
 4.72445600448076, 4.748759574087825, 4.750497235219673, 4.7524976698022625, 
 4.755642209731487, 4.755895727987739, 4.755895727987745, 4.756015124893964, 
 4.756015124893969, 4.756807518160159, 4.758947230729004, 4.758947230729005, 
 4.759285546404843, 4.766705818537134, 4.776354891381773, 4.7863275653561566, 
 4.7911124477037434, 4.791112447703749, 4.793621339649465, 4.796601891156386, 
 4.796601891156387, 4.798352756495337, 4.798352756495341, 4.8006273959596095, 
 4.800706647415491, 4.801078987395958, 4.801086442348251, 4.804804880713949, 
 4.807956008898437, 4.807956008898438, 4.810090175861064, 4.818288892516768, 
 4.818288892516768, 4.82337510848207, 4.828105893944501, 4.828105893944502, 
 4.839606597204267, 4.839737957875713, 4.8411388546869, 4.843069150574137, 
 4.845564500703198, 4.845564500703199, 4.847675306463057, 4.8560408662004475, 
 4.8560408662004475, 4.856228400697933, 4.962131918264737, 4.964342453002744, 
 4.964342453002746, 4.964392516343222, 4.976818179240955, 4.981944465127885, 
 4.981944465127886, 4.992018748602461, 4.994971230774426, 5.002884353349864, 
 5.0028843533498675, 5.010730847090153, 5.013964259194831, 
 5.0139642591948315, 5.013997482627734, 5.01447342224134, 5.0237680919210215, 
 5.029493896981521, 5.0294938969815215, 5.038903093715435, 5.040345019550362, 
 5.042372141537283, 5.045083919422587, 5.048584193268958, 5.04858419326896, 
 5.049801708663684, 5.049801708663685, 5.050705677836555, 5.053108825575649, 
 5.067942162079754, 5.0679421620797545, 5.0899481729473806, 
 5.104415556312135, 5.104421683316888, 5.104611805154348, 5.10461180515435, 
 5.147347144226258, 5.149904959030136, 5.161612491818768, 5.161612491818769, 
 5.16368543743984, 5.163685437439844, 5.1746510262227075, 5.179184600405313, 
 5.206866459714876, 5.207835372956961, 5.2078353729569615, 5.20846572020515, 
 5.258320205871734, 5.26088715797873, 5.260887157978732, 5.267889816861379, 
 5.349910465032939, 5.353062793595406, 5.3614480326395055, 5.361448032639506, 
 5.365103814985661, 5.365103814985662, 5.372271196011153, 5.379324862512741, 
 5.397812159636267, 5.398224409096058, 5.398224409096059, 5.398510306956109, 
 5.488950987779647, 5.491609335855986, 5.496371320588822, 5.496371320588823, 
 5.498953790708847, 5.4993168183318275, 5.500702068447727, 5.500702068447731, 
 5.504496935157546, 5.507961047348384, 5.5079610473483855, 5.525643696386254, 
 5.609226876544936, 5.609226876544936, 5.610044611110489, 5.611425149240818, 
 5.615889473712338, 5.619220387571132, 5.626405087061739, 5.62640508706174, 
 5.638629125815822, 5.6386291258158225, 5.643440249433217, 5.648207632170258, 
 5.648641546992148, 5.652936225960387, 5.652936225960388, 5.668384338490662, 
 5.686827594513512, 5.6916230109067705, 5.693625039810641, 5.693625039810642, 
 5.750095701224738, 5.75248089904722, 5.757470038087261, 5.761654720045152, 
 5.761654720045153, 5.7624732645732, 5.762473264573201, 5.76252860421346, 
 5.765557481676355, 5.765557481676356, 5.771277785932651, 5.772481123880908, 
 5.775048690070241, 5.775048690070242, 5.776667108659562, 5.788979817960825, 
 5.7891629715289366, 5.793296839684492, 5.7947777752592025, 
 5.794777775259205, 5.795042471125288, 5.7950424711252895, 5.799792494721225, 
 5.807081981243831, 5.807715389712712, 5.829672878169913, 5.829672878169916, 
 5.83614465648243, 5.894910530874735, 5.894910530874736, 5.898545603404035, 
 5.898761442344258, 5.900331719741664, 5.904854734010854, 5.904854734010856, 
 5.905700993881387, 5.9062918143418575, 5.907253425868216, 5.907253425868217, 
 5.908250437069622, 5.908250437069623, 5.908336959841976, 5.908336959841979, 
 5.9091523442974765, 5.915740832415078, 5.921715427492864, 5.922895498445559, 
 5.923844512551778, 5.925364882697452, 5.9283462583087125, 5.928346258308714, 
 5.929707935950774, 5.9309179828448, 5.9312349986049275, 5.931606495081575, 
 5.935753673661767, 5.93575367366177, 5.938189414148529, 5.941751056590077, 
 5.944840079207029, 5.947216380877605, 5.947216380877606, 5.9541674373035685, 
 5.954167437303571, 5.959152070335743, 5.961495157431732, 5.961495157431734, 
 5.9631186169329204, 5.966951332407007, 5.967476106280147, 5.978877318928717, 
 5.978877318928718, 5.987155381005898, 5.994300508555556, 5.994300508555558, 
 6.001007314759969, 6.011657070840519, 6.01165707084052, 6.0203453785396706, 
 6.029432424005695, 6.118790183013207, 6.120778078651371, 6.120778078651372, 
 6.121859174076941, 6.129728933797141, 6.136476778509238, 6.138585145635978, 
 6.138585145635978, 6.147536353958543, 6.150409880096937, 6.150409880096938, 
 6.162453017268237, 6.162490274128199, 6.171646527750452, 6.171646527750453, 
 6.184786798428988, 6.198037301396521, 6.198541226029644, 6.198541226029646, 
 6.199233921052624, 6.2235235476813475, 6.2235235476813475, 
 6.230597347832204, 6.230618129154547, 6.238670360522907, 6.238992335380131, 
 6.23921329830106, 6.239213298301062, 6.240862511468454, 6.240862511468455, 
 6.241210753153737, 6.241210753153738, 6.243842952037982, 6.245582704992009, 
 6.255337683221825, 6.25745465256413, 6.2580965253582646, 6.26428194497984, 
 6.273684720538468, 6.276236648299835, 6.278773081604939, 6.278773081604939, 
 6.2836217832114185, 6.28362178321142, 6.28616577011406, 6.286165770114063, 
 6.286399839922819, 6.288405818382555, 6.303393873517562, 6.304587013897222, 
 6.310769242097618, 6.310769242097621, 6.320872616405424, 6.321370194861938, 
 6.321370194861939, 6.322039760515166, 6.322956178167135, 6.326337410942563, 
 6.328838994255249, 6.328838994255251, 6.334056710881236, 6.338410406603735, 
 6.338464236142839, 6.3384642361428405, 6.352248901438736, 6.355248323205773, 
 6.355248323205775, 6.356541084528258, 6.3566449101003855, 6.363464846293332, 
 6.363464846293334, 6.364364156658855, 6.365675670811575, 6.365675670811576, 
 6.378293661947445, 6.382941561408194, 6.383425602554295, 6.383552634315896, 
 6.383552634315899, 6.384184872126923, 6.423471901133617, 6.426078779217423, 
 6.426078779217426, 6.4305423141761935, 6.529264759529917, 6.532604388676452, 
 6.537059947575114, 6.5386927359374925, 6.538692735937494, 6.539183911351799, 
 6.5391839113518015, 6.542942612622547, 6.543564462420442, 6.551022073695907, 
 6.551022073695916, 6.571646965297607, 6.5980810869746405, 6.598343509656061, 
 6.603712251115625, 6.603712251115627, 6.606890346896469, 6.606890346896471, 
 6.610283978395911, 6.615322631526707, 6.618859392005967, 6.619331738876373, 
 6.619331738876381, 6.619530905047115, 6.661768279229186, 6.66282343868536, 
 6.667168646695488, 6.66716864669549, 6.668118416311946, 6.668438436360109, 
 6.67470155525321, 6.674701555253213, 6.674716334526095, 6.674716334526096, 
 6.684413870060797, 6.685793323106697, 6.878944857466889, 6.878944857466898, 
 6.879241240021553, 6.879302107395255, 6.967073298979744, 6.967073298979747, 
 6.969249696685862, 6.969254331008703, 6.974195697229623, 6.974477130339669, 
 6.975292887861505, 6.975292887861514, 6.976011749127307, 6.9760117491273155, 
 6.977421953323112, 6.977421953323115, 6.9876580992873505, 6.987795477115125, 
 6.988546853877768, 6.992182670210202, 6.994487279687798, 6.99488387098705, 
 6.999190647788382, 7.000225453140823, 7.004751068689155, 7.004751068689156, 
 7.011223826651913, 7.01122382665192, 7.011751499094501, 7.015989580697421, 
 7.017872332550514, 7.018367586672359, 7.020703372651599, 7.020703372651604, 
 7.0251077200487515, 7.025107720048757, 7.064203001227514, 7.064203001227527, 
 7.070134939831106, 7.078006912510341, 7.084513910567302, 7.109870410064515, 
 7.109870410064517, 7.161681714530558, 7.161701236053372, 7.165390700368577, 
 7.1654224098222565, 7.16542240982226, 7.165453368345489, 7.172803908983865, 
 7.172803908983878, 7.183895107131658, 7.2036895689353475, 
 7.2691208936007135, 7.269120893600728, 7.308422294205625, 7.365298227873083, 
 7.366495378097539, 7.366495378097539, 7.3679172963927355, 7.638516098340659, 
 7.63950904097355, 7.646975378222964, 7.646975378222979, 7.649005797489218, 
 7.649824662968769, 7.651448839597458, 7.651448839597472, 7.65633404682324, 
 7.6563340468232415, 7.658752649041914, 7.672209282459413, 8.300082741528072, 
 8.300082741528072, 8.301458733415512, 8.301481990012734, 8.3038003098362, 
 8.303943924882311, 8.30435838762411, 8.304358387624116, 8.304750181545147, 
 8.30475018154515, 8.304903632249147, 8.304903632249152, 8.309369724641455, 
 8.309705655506225, 8.311166966461341, 8.312169866952694, 8.312235735311152, 
 8.312474910678285, 8.312780305103466, 8.313333538901897, 8.31848644536512, 
 8.318486445365139, 8.319679048889586, 8.319679048889592, 8.321792199360816, 
 8.322066781515856, 8.322187829127884, 8.322451092055363, 8.322451092055369, 
 8.322703032029786, 8.328568728250799, 8.328568728250808, 8.332470214302955, 
 8.332470214302957, 8.337938433307086, 8.341072455597681, 8.417077005839168, 
 8.417400074581154, 8.421375341306907, 8.421375341306913, 8.421671208806366, 
 8.422308249368, 8.422319275319303, 8.422319275319307, 8.42307641867797, 
 8.423076418677976, 8.426996696824602, 8.428390552651463, 8.520922990060512, 
 8.52125316194521, 8.522159814205127, 8.522159814205134, 8.522376387707874, 
 8.52245177213351, 8.522451772133516, 8.522476590498858, 8.523011830109832, 
 8.526020510645013, 8.526020510645015, 8.530684785664741, 8.647990079262508, 
 8.649477213120186, 8.649477213120193, 8.651014954022418}