A continuation of n12_sparse_ring_r01.npz. The complete source identity, every recorded occurrence, and linked equations are on its first page.
Source transcript · continued
Search covers the title and provenance of this bulk data export. Every original row and value remains in the reading sections below and in the complete download.
Download complete source text ↓29,203 lines · 547.3 KB
"name": "normalizer",
"dtype": "float64",
"shape": [
2047
],
"data": [
2.487443699694011,
3.9838572602129663,
4.998829151676871,
6.495242580131427,
4.990794123103046,
6.445674156340926,
7.44820953617579,
8.898185406193422,
5.01093094089035,
6.50632396684064,
7.463345566156388,
8.958619276809353,
7.486307955054753,
8.940941694541824,
9.902584033824802,
11.352542871017334,
4.637908518047167,
6.131451270009722,
7.148803769533801,
8.642342338991181,
7.1079307996268275,
8.562801674797107,
9.557749354326623,
11.007693616921868,
7.138264282724254,
8.631361842099832,
9.584483470895403,
11.077548996505742,
9.58996564095284,
11.044567314824308,
11.990125424187866,
12.588714941614143,
4.169375759364298,
5.66576590786413,
6.642349854056684,
8.138736957712485,
6.669958990042229,
8.124416100435578,
9.091633334549325,
10.541603896435424,
6.690169635540032,
8.185556373682456,
9.090254395714854,
10.585527134326675,
9.161086832244456,
10.61523061816773,
11.529420716258727,
12.979377042729727,
6.267264044681183,
7.760644139305134,
8.738446341025579,
10.231824067483064,
8.722905976529924,
10.177343859811222,
11.143969123270915,
12.593894051865979,
8.767598015289622,
10.260529189278044,
11.167565681141623,
12.660397949426168,
11.204147326559266,
12.658287395324972,
12.445991155050585,
10.967041698851489,
4.398926044530533,
5.895338218082355,
6.910177740820139,
8.406589795903589,
6.90185093743108,
8.35667767104048,
9.358898464184659,
10.808788882053506,
6.895645116843051,
8.390998645269564,
9.345932801948752,
10.84115734284684,
9.367217810342645,
10.821720690388632,
11.782530179018888,
12.51530137612159,
6.513677061128139,
8.007040857766356,
9.024247600718729,
10.5176056989029,
8.978398717002374,
10.433224392458907,
11.426136682368053,
12.875952925438607,
8.9970118549548,
10.489801699033393,
11.442369094404693,
12.935118039113675,
11.438479751191023,
12.820516517386283,
11.99618238957742,
10.517050652792637,
6.07159940746939,
7.567989278050396,
8.543015104731452,
10.039402023048124,
8.571995679665235,
10.026431680554614,
10.991547238837256,
12.441436726116763,
8.567352882188796,
10.062695515032443,
10.967038387019542,
12.462262873136867,
11.035339086692312,
12.48940263204221,
12.418349442470332,
10.940300411979694,
8.141385547674396,
9.634605143392907,
10.611639431516842,
12.10485803849914,
10.592538742594849,
12.046942044575976,
12.79133475716061,
11.312593411970068,
10.624712490452374,
12.117360239134927,
12.80176178840512,
11.348563834180013,
12.681918917193002,
11.202687445938672,
10.370799918479449,
8.891567440079992,
4.85203557284323,
6.3334285213707044,
7.3436877363093,
8.82444765872746,
7.288917149767374,
8.740532024096595,
9.68131294477633,
11.130060974969842,
7.357237603002771,
8.83854629382671,
9.768586480959886,
11.249346098106425,
9.777441817987881,
11.228543671213782,
12.105987966410844,
12.294448044431833,
6.978003628213047,
8.458612590069293,
9.469580871481572,
10.949572885686539,
9.395779691657118,
10.847367740067229,
11.785068685255062,
12.778253658286548,
9.466983652968429,
10.947574554676313,
11.876387102787817,
12.80053589048137,
11.873104160778507,
12.588827147203446,
11.795816681653204,
10.299672584652072,
6.531540711038765,
8.012920044171231,
8.987062982124051,
10.46781353184381,
8.962784133644004,
10.41417901904774,
11.324663461653369,
12.773407948240383,
9.034856213651299,
10.51614674334827,
11.394891597997567,
12.87564086500058,
11.447905328823175,
12.898726172907176,
12.209978320254923,
10.716800292190179,
8.607359007302744,
10.087799437628988,
11.05762542917521,
12.537578443556928,
11.009112136711668,
12.460389820666741,
12.675515411161735,
11.180232338918378,
11.09631728333959,
12.576738911364789,
12.634388155786768,
11.178917313446238,
12.473026848374738,
10.97684151034925,
10.174070002459906,
8.677883907897424,
6.762551716389355,
8.243926735870206,
9.253878115961529,
10.734614215481301,
9.198290287803072,
10.649889060894687,
11.589402539894959,
12.688989328510894,
9.241951531774959,
10.723218518226577,
11.651004991905147,
12.699544556773702,
11.657883393202411,
12.517088311559107,
11.72568829858569,
10.232467575693622,
8.853669781994856,
10.334136789077169,
11.34497924720225,
12.824815005886109,
11.266065068226485,
12.717621197643329,
12.193207934737925,
10.697922828531802,
11.324808005686968,
12.805231479277246,
12.20276759525992,
10.74512281304695,
12.018962202101916,
10.522818634531024,
9.715484770353584,
8.219338839624063,
8.433154348080626,
9.914519410844811,
10.886663650425824,
12.36738524700715,
10.863812203999771,
12.315202583401511,
12.615378506421054,
11.122335572822248,
10.91201956187756,
12.39327431626772,
12.581313460944257,
11.123785562165583,
12.44818641429801,
10.954911041640848,
10.147716855307433,
8.654391180062966,
10.48137733528231,
11.961692548426656,
12.93080186738598,
11.621329665295853,
12.87860364062878,
11.39751674523406,
10.59136381080863,
9.096078691153195,
12.861886337223943,
11.406219594888082,
10.57764233016231,
9.119996626446149,
10.400800316337108,
8.904614168141142,
8.089679019423642,
6.593492324833987,
4.631178816633522,
6.127579783598564,
6.996753754426216,
8.4931485439086,
7.109110497790246,
8.561349956736189,
9.443282187732631,
10.892807589859844,
7.093639429215701,
8.588798562881951,
9.438691955300948,
10.933829208335805,
9.556548463758824,
11.00878789656327,
11.87681716551263,
12.600247197460707,
6.720962975329755,
8.214265648628682,
9.071780662480085,
10.565032661865457,
9.129988503946985,
10.581812967286059,
11.460033130646249,
12.909310165773181,
9.109997167997323,
10.60304867941538,
11.449407836559265,
12.94236699466476,
11.517987663289297,
12.955407895105434,
12.0593049560906,
10.580225438187483,
6.271756155327437,
7.7681411154238225,
8.624846883211523,
10.12122190259682,
8.749611420575054,
10.201804115509448,
11.070995229674727,
12.520518525338833,
8.716419994947968,
10.211572188270196,
11.040615042359718,
12.535738932767643,
11.178269031808474,
12.630459468760844,
12.500762261980904,
11.022279033028973,
8.330747868515845,
9.82395228885311,
10.659457924231528,
12.152574242265816,
10.73362637674148,
12.185288657496411,
12.884947984227361,
11.406178777599713,
10.713992349031534,
12.206907363966753,
12.835912805840453,
11.38302543539413,
12.816368921479302,
11.337267853794954,
10.420553697098768,
8.941437121127931,
6.515596798692258,
8.011997626469299,
8.868745229684837,
10.365140018893985,
8.9932611439539,
10.445479633930578,
11.315141905376777,
12.764654481835649,
8.918797347088997,
10.413809763771763,
11.259115592482877,
12.754115625757883,
11.381019613454113,
12.833235975255716,
12.025015673792915,
10.546495556593408,
8.58456789042442,
10.077747085232795,
10.927298485722629,
12.420444524457093,
10.99213548314556,
12.44395981608735,
12.419141884553175,
10.940281485662233,
10.931134856703821,
12.423920103043251,
12.416410045639648,
10.96288816714273,
12.34825235843621,
10.869029840199772,
9.969640454170555,
8.490377253985278,
8.15329377928988,
9.649678734478112,
10.49151328156904,
11.987888073702141,
10.63085787866147,
12.083024413594188,
12.907541335336706,
11.42945260606432,
10.54147511199386,
12.036481470157819,
12.860431377883087,
11.419509642577985,
12.843847674179866,
11.365351415565206,
10.446735698998936,
8.968209749266208,
10.193965010250317,
11.687051896145718,
12.51341386433949,
11.768497107877579,
12.59553029135905,
11.674121080789554,
10.787398874271197,
9.308413268637382,
12.535125798823536,
11.671609870860603,
10.769723043186733,
9.316166576451984,
10.720310569771797,
9.241008167894528,
8.322890491806874,
6.843565529278136,
6.967757077145678,
8.44847677167764,
9.328858420955555,
10.809367784911231,
9.345039447867412,
10.795499702843523,
11.652536502277538,
12.836694870892787,
9.38513347061734,
10.865851353971433,
11.716611945572915,
12.815168275867382,
11.760956903674403,
12.704445475498584,
11.821534329369292,
10.328311464535187,
9.045742843649727,
10.52504513568919,
11.388855310140826,
12.868100225570647,
11.36591727976773,
12.81596207629812,
12.28887625151793,
10.793406471799727,
11.400252010671299,
12.879322432220238,
12.250529417346746,
10.793473125998728,
12.151528581775397,
10.655347132543234,
9.775274983697338,
8.27909285403722,
8.60832603969094,
10.089033149267271,
10.95689202094857,
12.437366525839984,
10.985486654168609,
12.435905778256993,
12.756822557411422,
11.263863475156986,
11.00644772473996,
12.487150529082488,
12.695957469181785,
11.238962056306775,
12.636946949845555,
11.143607866639785,
10.241350393195347,
8.74801109069973,
10.654926234136342,
12.134193437531712,
12.974593172708364,
11.682672134301011,
12.969495556264725,
11.541582571108407,
10.663856644700193,
9.168376445003307,
12.976042942452763,
11.521658433940315,
10.611829982557095,
9.154664301006182,
10.533435742114595,
9.037199283233855,
8.136454790002261,
6.640212723035663,
8.852123150414846,
10.332840072627121,
11.200838962808955,
12.681347953582865,
11.228943807228845,
12.679390729890693,
12.265016129650174,
10.772097351736186,
11.203005747150064,
12.683718399811209,
12.216790196708018,
10.758184365476337,
12.134307494108544,
10.64092042420737,
9.754782397628434,
8.261387792817633,
10.908448746148625,
12.387712306969233,
12.689807640978593,
11.232250706976478,
12.541606466232842,
11.04619741575969,
10.194430305968162,
8.698959776706904,
12.519484729175552,
11.063702532710696,
10.175888830371505,
8.717278086571238,
10.060053825887639,
8.56387232729157,
7.679880539242706,
6.183698321829677,
10.489808226403298,
11.970513375849494,
12.823541421633784,
11.696772513327545,
12.866467433838967,
11.571523736285762,
10.691375011028668,
9.198265752566773,
12.82428880762481,
11.54243843813379,
10.639404974049816,
9.180779969789409,
10.57224962150212,
9.078728100226412,
8.173932885676049,
6.680411085553252,
12.517283185754543,
11.939572275792244,
11.056284256174486,
9.598727266139294,
10.936260610415173,
9.440849496026953,
8.560783026576843,
7.065301139115405,
10.893456670677732,
9.437646708168382,
8.529188910722935,
7.0705473896235755,
8.432034860660444,
6.935797719754977,
6.033129081162267,
4.536886551293705,
4.818145843113195,
6.314399099414023,
7.326947337460124,
8.82320029451794,
7.284827120668579,
8.737792394776926,
9.742137052900755,
11.190087843649167,
7.31574873142428,
8.811109969769486,
9.768157576467138,
11.26339990906763,
9.765068924633786,
11.217966128820608,
12.17909948240321,
12.247494175124539,
6.956050839424643,
8.44957510864696,
9.463915665562697,
10.957436989600202,
9.39728598511953,
10.85019807319135,
11.847100875555045,
12.673577313589565,
9.436395547646264,
10.929493091808087,
11.882569497271346,
12.673540007980916,
11.866256368915781,
12.555294641537328,
11.739929610023509,
10.26052577701449,
6.48894751319764,
7.9851546192474245,
8.96137531312564,
10.45758073215405,
8.954960739723669,
10.407704735291277,
11.37528443520317,
12.823217929563947,
8.980391682042782,
10.475740565929293,
11.378624454681752,
12.873866786801797,
11.42800742959864,
12.880649350880432,
12.14434618001027,
10.665616337978411,
8.56253138842946,
10.055908794563537,
11.033502555779396,
12.526877487864837,
10.995938834406424,
12.448678819700547,
12.552817729253816,
11.074081537574372,
11.04159364168066,
12.534517294738718,
12.501968839461535,
11.049546816792876,
12.418985769339526,
10.93947534682644,
10.115575847949051,
8.636065015891326,
6.721693775554123,
8.217946860333054,
9.230467711688348,
10.726720500562251,
9.186232872368196,
10.639015860996718,
11.643110030367726,
12.593473106821474,
9.197395803735503,
10.692711526761855,
11.64768203741575,
12.612109699794004,
11.640874003281219,
12.490203512761774,
11.674656794863884,
10.195797216621173,
8.827907385452452,
10.321240904313807,
11.335596456034253,
12.828926071213548,
11.260924409736845,
12.713693014485663,
12.080041660968043,
10.601237151280795,
11.293682555753007,
12.786471249591692,
12.098253009198043,
10.644860746251602,
11.97697024714051,
10.497288976106397,
9.66681055667886,
8.18710418116541,
8.380011109294097,
9.87621596656252,
10.851112347635027,
12.34731530636588,
10.844194702161877,
12.29681024325809,
12.503108180322343,
11.025459839056756,
10.852432601761125,
12.347728176750056,
12.483513145105196,
11.030353140063553,
12.400146172773276,
10.92127915977656,
10.092413524702812,
8.613546188628144,
10.431330423321032,
11.924541261140321,
12.884200682746108,
11.430916535673706,
12.786248839645292,
11.307153174064421,
10.477729515681956,
8.998584215004072,
12.756177304668835,
11.30417225152267,
10.471142731864928,
9.01774124567955,
10.354928888740915,
8.875091794141015,
8.038247297981226,
6.558397145813641,
7.179571392305856,
8.660955036881784,
9.667206796712485,
11.147966072555757,
9.582823242175897,
11.032589765746005,
11.974989174215043,
12.447075720663925,
9.661311641351732,
11.142619098136251,
12.072630541740743,
12.40580251526247,
12.055510996468318,
12.23856331851291,
11.446450389145397,
9.953370203184331,
9.295053755520232,
10.775661731440817,
11.78268894536916,
12.966681514244868,
11.684680469396984,
12.750813337898517,
11.959781645904869,
10.464491499651537,
11.76496094302415,
12.714570292562964,
11.893411463341923,
10.437949210623085,
11.726150286414097,
10.229852733205338,
9.431312499743324,
7.935014733013537,
8.846954528616148,
10.328327564491552,
11.301175138204961,
12.781924166117081,
11.247783404679025,
12.697464881808344,
12.358783349799374,
10.865868415453985,
11.323876858454437,
12.805167241697106,
12.276686770449638,
10.821232864488472,
12.157909220169227,
10.664761257897126,
9.859208754238463,
8.366028056987998,
10.901477332647765,
12.381903103363179,
12.812372261908076,
11.358576100817668,
12.649569637692798,
11.154292279572289,
10.351476011858665,
8.856185725437427,
12.552709294694317,
11.098783991077136,
10.268385117200255,
8.812913918894045,
10.109654150413705,
8.613326338871502,
7.8062200676033715,
6.309892189343481,
9.082529086588183,
10.56389117463912,
11.570055935132748,
12.835971205253415,
11.48237883321448,
12.67236408590211,
11.871533570702935,
10.378646380770157,
11.542956020886255,
12.630868173405524,
11.80715775955156,
10.349589193835357,
11.67267245835037,
10.179533446458148,
9.37541017389381,
7.882185971673702,
11.16673867342363,
12.647205675839512,
12.361295383591877,
10.905382176171543,
12.178316101249937,
10.683038655632505,
9.874995527369578,
8.379702544364129,
12.11818819075702,
10.662569324013925,
9.834127945862939,
8.37646004907652,
9.657055656262742,
8.160751204770248,
7.346126033827197,
5.8498215823053545,
10.737782008771594,
12.219137495371992,
12.709812313065228,
11.254414730138961,
12.595959961462645,
11.10299067630205,
10.288875612785445,
8.795831545200793,
12.510710003934168,
11.055097453926438,
10.220737750670777,
8.76316690615094,
10.09634143702671,
8.603060290317707,
7.78698369927642,
6.293646637629504,
12.77008777539103,
11.580181311773575,
10.748686945640113,
9.292692775385554,
10.573636725886002,
9.078358140826168,
8.261438993944168,
6.766145709079334,
10.496319818211635,
9.040652819265325,
8.204698284022442,
6.74702839585769,
8.033358378903825,
6.53702663516106,
5.716133689780937,
4.219801593801908,
6.949134278803819,
8.44535584293606,
9.314665294833574,
10.810880038715245,
9.397512856964426,
10.848259862401196,
11.729028683106012,
12.754456180742155,
9.394389831628434,
10.889499336380782,
11.738287492673784,
12.709425530842534,
11.833694112703437,
12.657107191219371,
11.758442030787037,
10.279327204618182,
9.012412950443073,
10.50571500325994,
11.361971558796167,
12.855223372173349,
11.406091150577488,
12.856626440841858,
12.205895045180139,
10.72692609041059,
11.395310624062905,
12.88836119733648,
12.145164221359858,
10.69206241034713,
12.107545793558646,
10.628023647539885,
9.729668261518992,
8.25009863752977,
8.583687239799186,
10.079878547213495,
10.93641188516334,
12.432590722421732,
11.031962738362353,
12.48270285811114,
12.654220934274795,
11.175757816809554,
11.005952157286433,
12.50105909210455,
12.578623960790623,
11.125405547369104,
12.568450678341458,
11.089374995589157,
10.172290871392264,
8.693175630439324,
10.606700679531857,
12.099904180795487,
12.93136276925365,
11.522995279219815,
12.944558972589919,
11.465571598564315,
10.574452686878868,
9.095349232748372,
12.85746303187188,
11.406054164294062,
10.50275712633559,
9.049538561484113,
10.484418005157242,
9.00481038484869,
8.087090990927665,
6.60745648763174,
8.819156534725623,
10.315374447578131,
11.171629636627177,
12.667838807254848,
11.26737283427075,
12.718116110733348,
12.174405915393539,
10.695887862587924,
11.212834831667362,
12.707774969049195,
12.125717609286173,
10.672027974974942,
12.080293981315481,
10.601145550238595,
9.699247712029454,
8.220046500018235,
10.867689485791132,
12.360863687083752,
12.547777123577168,
11.094014295868401,
12.459552093590554,
10.980603832966287,
10.113911584776483,
8.634729099896152,
12.419877977497478,
10.967842116929855,
10.085138373016122,
8.631371003074708,
10.019207171227299,
8.539474179417704,
7.637420961817485,
6.1576206401888385,
10.44906358948235,
11.945248888218108,
12.7855159063785,
11.55169589676532,
12.897149178368998,
11.487138978238857,
10.594783517802773,
9.116248290357685,
12.823881365738748,
11.43904566497023,
10.540462493651022,
9.086671622159034,
10.511122120725016,
9.031968182076307,
8.112332375540053,
6.633130147269034,
12.460648866396852,
11.766084933266598,
10.90794454000215,
9.454132339044788,
10.8454131379174,
9.366182131460027,
8.473273492261075,
6.9939033562795725,
10.78852780453123,
9.336491008305824,
8.4337451829688,
6.979922543773587,
8.385117744234442,
6.905252237455497,
5.985907311636194,
4.506003579029907,
9.278297113268142,
10.759013843224738,
11.63939624432718,
13.020007673504452,
11.633206695856178,
12.888865582680864,
12.026342917333873,
10.533537970830663,
11.683310065310884,
12.819771024371592,
11.927246751089111,
10.47028476808569,
11.856639450641637,
10.363418023921643,
9.476435150656215,
7.983210538893399,
11.333124951670584,
12.812327882203547,
12.450583908846856,
10.994381418422705,
12.32925661323574,
10.833845883235057,
9.97324424242948,
8.477762189824412,
12.236692564287537,
10.782267344075484,
9.887878309789182,
8.430821369400963,
9.79072643140714,
8.29439759970743,
7.410519832764093,
5.914187353205585,
10.912695061535063,
12.393400383169181,
12.892282494328242,
11.436082253557249,
12.81502459484312,
11.32207363959078,
10.43837950877354,
8.945414591142194,
12.701541110724548,
11.247156151707685,
10.340677090821375,
8.883668534050242,
10.282919166948323,
8.789571369937839,
7.885476615168783,
6.392128734276685,
12.927225957296319,
11.713231269482804,
10.816924216076712,
9.360677953718163,
10.721249199901136,
9.225837795187863,
8.339379542977989,
6.843889713579953,
10.613654095168949,
9.15922875403233,
8.245461300243054,
6.788292686722732,
8.16729835519313,
6.670931082956434,
5.767877192981401,
4.271499844639495,
11.147829141142395,
12.628541916166508,
12.414921039859651,
10.957324776007608,
12.31737047746278,
10.824501064832049,
9.954664886840344,
8.461735139403238,
12.209708763713103,
10.753921244056663,
9.861041991996917,
8.402425125549476,
9.783852380137253,
8.290456547835143,
7.399033740936521,
5.905628514627063,
12.696742462678253,
11.242960290476677,
10.371863522440044,
8.914263178785996,
10.237904454078766,
8.742491343704348,
7.8751427926348585,
6.3796604164423805,
10.156677230808759,
8.700889711051033,
7.8066446089143104,
6.348019924558279,
7.694711368095216,
6.19838062425652,
5.309716122284786,
3.8133811564071376,
12.777521430172175,
11.71170081545549,
10.827919318518054,
9.370319783966528,
10.746737881572894,
9.253652816777894,
8.364475372248776,
6.871365415025831,
10.633835363601465,
9.178025307959377,
8.271879537855503,
6.813247322562149,
8.207289893639432,
6.71374343926263,
5.806336550752018,
4.312789299731877,
11.077143407116168,
9.623208431294254,
8.7275731282695,
7.26997131717699,
8.616051063013003,
7.120636761495399,
6.23081812264691,
4.735327332255889,
8.52315146019436,
7.067338685514066,
6.154719086233411,
4.696067422639796,
6.059675693359156,
4.56330821970203,
3.6577736875429077,
2.1613958852059865,
4.620543277805149,
6.1169134271523,
7.017002852397802,
8.513364347942979,
7.080807779498554,
8.53262493021911,
9.45196683103675,
10.90103762775555,
7.105423728408424,
8.600811911042008,
9.470966476527568,
10.966234628479178,
9.551352135738563,
11.003156361505988,
11.898640825108131,
12.631461276516966,
6.770611628912468,
8.26412838137288,
9.165847182271673,
10.65936384147195,
9.196773233929186,
10.648590258747328,
11.561506492389665,
13.010545813821956,
9.23225421431884,
10.725351303939163,
11.59200856922769,
13.08507116430192,
11.651151743101847,
12.957902779581392,
12.106973562457338,
10.625284853183405,
6.271965855923165,
7.768291895384748,
8.650630315869023,
10.146953360820703,
8.73221923739943,
10.183972989572625,
11.084854884287399,
12.533921430319486,
8.745527745388664,
10.240912008846243,
11.08309500769403,
12.578362808909848,
11.190986383444823,
12.642716445318047,
12.513806182675598,
11.033805777807618,
8.36329990189672,
9.85667685701368,
10.741868834457696,
12.235239601842766,
10.784539468316371,
12.236286689616016,
12.906798741964144,
11.425311356023112,
10.82128388450908,
12.314195244012478,
12.930217439741766,
11.477920852436183,
12.822467955788781,
11.340989196824882,
10.47427161322842,
8.992582314806672,
6.531973288777731,
8.028342205141698,
8.92834643907664,
10.424706614005324,
8.991675623431112,
10.443422177110772,
11.362611336943946,
12.8115911877824,
8.98859423062584,
10.483941237551361,
11.353033480987133,
12.84825347312459,
11.431618147636065,
12.883330850732186,
12.057994866022597,
10.577904850322678,
8.646375841580216,
10.139713226026595,
11.04124398517716,
12.534581366306469,
11.066650829322153,
12.518393030401079,
12.43551688594188,
10.953322554722334,
11.089765883042386,
12.582553295853678,
12.53459700454313,
11.081260553854543,
12.37596465804079,
10.894021472476565,
10.02063419232787,
8.538292596420431,
8.173178787024984,
9.669504798408795,
10.551007406449651,
12.047330394525437,
10.632881120321597,
12.084580917774042,
12.865750218269024,
11.386119678152074,
10.622445885045156,
12.117785536926911,
12.908326163544373,
11.455198882897609,
12.80607119388981,
11.325968478045525,
10.46042100329989,
8.980223098749544,
10.237242715434228,
11.73045826298604,
12.615061068224003,
11.877323921070975,
12.65315887037264,
11.690173562610887,
10.824436060958401,
9.34221738733118,
12.677776954939755,
11.75521578614407,
10.89993956904966,
9.446589371203114,
10.754240113098074,
9.272266178666253,
8.385942362615108,
6.90359508485449,
6.91859595223333,
8.397092895692879,
9.31408341993924,
10.792571642298844,
9.230383266112474,
10.681057586879422,
11.583861266850409,
12.74271681117363,
9.35038279908055,
10.828746879330748,
11.707073825440348,
12.755997327246275,
11.662130897335718,
12.600121618699951,
11.77986356800022,
10.286775429843566,
9.03786315819378,
10.515875919420864,
11.432553036145206,
12.91055107974397,
11.336852232925427,
12.787507845942162,
12.249003520799821,
10.753682539417397,
11.458669744722288,
12.936459301747997,
12.258947417499517,
10.801905247631428,
12.106047531185165,
10.609857718183983,
9.769560883288614,
8.273354413417987,
8.569857246790452,
10.048269815952178,
10.947354420226901,
12.425744281449266,
10.881631607084511,
12.332232246470014,
12.649466388373327,
11.156557410186384,
10.988044915178108,
12.466282950820533,
12.621540451422785,
11.164466604254674,
12.522888999212801,
11.029741285471394,
10.182283490379485,
8.689104674143936,
10.624615569254637,
12.102625659244895,
13.001729730079973,
11.670094719642387,
12.922130733477818,
11.485800267926804,
10.637909437554908,
9.142587469976732,
12.943292843084548,
11.488598247825891,
10.625745573878117,
9.168620890122513,
10.488926479546535,
8.992700811158148,
8.136152316192504,
6.6399172914687,
8.82873278730582,
10.307196865054278,
11.224101331209836,
12.702556155066404,
11.13814355091548,
12.588784613316937,
12.155857895001269,
10.662952952967872,
11.233226034140502,
12.711580117638595,
12.15641277272486,
10.696752424784817,
12.030159639827872,
10.537015667875956,
9.699618987208282,
8.20637143194947,
10.913526182478618,
12.391399282717071,
12.669666714462174,
11.211175412062788,
12.48825920274085,
10.992939948024995,
10.140390891497495,
8.645069909783619,
12.505572447168671,
11.048794985485852,
10.191491010591696,
8.731505850279095,
10.02529120823339,
8.529101192846769,
7.660808047104781,
6.164601310172056,
10.469613605004373,
11.947975426688492,
12.846159927684841,
11.562114495932622,
12.778909554666715,
11.429779244295952,
10.569839721535839,
9.076788307029416,
12.864801852106833,
11.431483666262226,
10.564901299057677,
9.105123932276497,
10.459328110123886,
8.966052207325756,
8.101998597383862,
6.608662475037311,
12.498528472911659,
11.917667667258005,
11.05726366667517,
9.598766651588043,
10.895761196720898,
9.400440420101528,
8.527958941222842,
7.032636972544188,
10.885040429964185,
9.428248650371948,
8.556493485836521,
7.096473894226312,
8.40356248470499,
6.907336800892917,
6.025803947408612,
4.529568250731567,
6.678780959294659,
8.175106069582698,
8.990410490043912,
10.486735500195996,
9.131343201701531,
10.582005281383697,
11.424571073592482,
12.87340868480238,
9.128271510056477,
10.623420923764769,
11.426984339283601,
12.922099282190967,
11.570680253883943,
13.021318159707903,
12.082850399496275,
10.60129109333457,
8.75063045107288,
10.243930028953159,
11.05515965928836,
12.5484115185975,
11.145142250242227,
12.595554689245919,
12.549580146990007,
11.066874968205338,
11.134707650099802,
12.62774793446524,
12.566643289110122,
11.113604094493283,
12.505724758253901,
11.023805498237728,
10.05078544557761,
8.568079907454123,
8.308071823926577,
9.804368176275204,
10.612854714599914,
12.109150970187148,
10.760399709210873,
12.211061014698771,
12.96969114870512,
11.487849655601707,
10.733654200454241,
12.228799229117886,
12.98065206045625,
11.527464770727239,
12.9637578859679,
11.482742976780543,
10.471143335286357,
8.989282180006462,
10.338943518749437,
11.832132929464356,
12.630943431645623,
11.960685770042643,
12.730353644276683,
11.844232729770473,
10.891742119232738,
9.408986823865156,
12.714355158010433,
11.856481065044939,
10.910176648353255,
9.456984857488145,
10.880460941402061,
9.398541261741556,
8.387828545190143,
6.905071505552424,
8.556739616174529,
10.053064344970252,
10.860116901903261,
12.356441573392882,
11.009299553993243,
12.459961602323848,
12.522284025127579,
11.040617514793288,
10.951359450535364,
12.446356619425034,
12.54432799167417,
11.090632978141944,
12.482235059529106,
11.00124207931055,
10.026345298229607,
8.544669277679652,
10.611154879854205,
12.104333280039548,
12.909752941112124,
11.55412551191915,
12.839510618383688,
11.35743633569759,
10.452892673868291,
8.969740655984475,
12.874767158524683,
11.423061061575337,
10.508602711334603,
9.054842270661554,
10.416268575863922,
8.934043776578243,
7.953609294898388,
6.4704572732755175,
10.181557090415614,
11.677852168527812,
12.476366918957062,
11.991200843450486,
12.63387611501662,
11.870001866626293,
10.913208495513494,
9.43125173265235,
12.556384503108713,
11.889465931139828,
10.947048533009497,
9.493226840388711,
10.911315845120518,
9.430236605666398,
8.41461786803265,
6.932642308211888,
12.198454302556236,
12.219685789889454,
11.348457109046876,
9.894617483432503,
11.227914774960684,
9.745810548420401,
8.79013925830144,
7.306962082887174,
11.241279856619254,
9.789567504829241,
8.843716980381775,
7.389876169435686,
8.782291884611059,
7.300058255169786,
6.285357447122755,
4.802180054600407,
8.970876435776743,
10.44931103964214,
11.282505265607426,
12.760939843111238,
11.260406029003455,
12.710307565534023,
12.238246297249493,
10.745462195311497,
11.350779673668196,
12.828996629167094,
12.218194368160315,
10.758104917987213,
12.19597421993847,
10.702745770150091,
9.71685553632524,
8.22362686635573,
11.017726448453185,
12.495443929374465,
12.724267153527784,
11.264513947887052,
12.628678655087441,
11.133252150203514,
10.196553320431999,
8.701081628577128,
12.609533680264898,
11.154032867641199,
10.19657110180433,
8.736370647802627,
10.148479840248342,
8.652265336210561,
7.66846569467734,
6.172247783040967,
10.59929456120184,
12.07760582628045,
12.904058840487044,
11.683973677531188,
12.887498631547963,
11.621670545035197,
10.628546022922553,
9.135580175120621,
12.947457564934297,
11.60644003957839,
10.619190545802299,
9.158752770097397,
10.625480157152909,
9.132121209470625,
8.103716158421395,
6.610348689521105,
12.599865253319711,
12.029642180114466,
11.067244260260157,
9.607050374459234,
11.025618137709206,
9.530191320164635,
8.53473540414316,
7.039254910068901,
10.983066477341454,
9.527548126083087,
8.53123929689191,
7.07046680191389,
8.521946576619937,
7.025686783130541,
5.998608101260349,
4.502348298374612,
10.8485455504488,
12.326965121614908,
12.67919829264938,
11.217374483965177,
12.604470577901903,
11.111623093461393,
10.158597028437427,
8.665668628922784,
12.572335119576863,
11.115192216640981,
10.157003276597157,
8.694694902949696,
10.126254886074577,
8.632865708732762,
7.6363826450214995,
6.142987974160727,
12.87809687180924,
11.553919779192867,
10.643874630795606,
9.182049913410138,
10.530896607495741,
9.03546485818278,