ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

n12_sparse_ring_r04.npz · Lines 4501–6000

Source identity, revision, and recovered contents.

research numerical array sourceSource text recovered

A continuation of n12_sparse_ring_r04.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 · 549.4 KB
"name": "normalizer", "dtype": "float64", "shape": [ 2047 ], "data": [ 1.4437341104680397, 3.434520492570451, 3.8196808186580573, 5.807520684720777, 3.2982344015894514, 5.172166509897864, 5.673679382969828, 7.542335152097248, 3.150052855424881, 5.138567432437785, 5.525884830925849, 7.511517236786385, 4.9981475447192345, 6.871919440794443, 7.373414831370165, 9.241941702470125, 3.1334928498500814, 5.119134486453932, 5.508766370118264, 7.4911302774561435, 4.955120029244762, 6.828920266201901, 7.330124790039031, 9.198692434131814, 4.834060955021661, 6.818068038421117, 7.209150262702769, 9.189956558649481, 6.651691138574652, 8.525305263773976, 9.026467893149578, 10.894887485168383, 3.089323073432432, 5.074110273789919, 5.3615448997193695, 7.345794180655191, 4.941233955180289, 6.811446368048103, 7.211012441050831, 9.078598527551542, 4.791115879397257, 6.7742434252563095, 7.062919755503779, 9.045450895549708, 6.63729523833789, 8.507453194512587, 8.90683978230774, 10.774353434603142, 4.7747078231889795, 6.753123078728036, 7.046921086632054, 9.024806883704906, 6.591406962240157, 8.461599128962852, 8.860916195929374, 10.728469751049747, 6.469628916042171, 8.447030154780416, 8.741404135972713, 10.718229978486383, 8.283152074497227, 10.153282923688801, 10.552375896613347, 9.834018205975797, 3.5126370418399673, 5.482619037740728, 5.7350556699540896, 7.681413291117497, 5.284802318068051, 7.158305387750705, 7.483881916150648, 9.347297689444101, 5.175134459956764, 7.145071884018035, 7.3771637851088006, 9.322908224385582, 6.947299734779838, 8.820748491206373, 9.124992131584776, 10.988225694039379, 5.173305482153975, 7.141722466444698, 7.3904218383746745, 9.336172451248702, 6.929292885614281, 8.802573500228693, 9.126109109136323, 10.989045132827197, 6.834963817486068, 8.803355100435015, 9.032310472854617, 10.977421001442513, 8.59092320168016, 10.464139827583624, 10.766811870892504, 9.438482545699214, 5.144449250342093, 7.103432470881092, 7.274126997834989, 9.218274763905157, 6.90526095041097, 8.774289903548418, 9.02052549387679, 10.88302918945449, 6.795392463741408, 8.754289273807679, 8.913250630959412, 10.856584049032406, 8.555934378454259, 10.42495503854124, 10.658382855652302, 9.469247725917727, 6.8035187499942404, 8.760381607866556, 8.9235240102435, 10.866771582012301, 8.546077455113947, 10.41502031833922, 10.655250973165483, 9.452698383961817, 8.45320318963435, 10.409930513254672, 10.562208868994936, 9.621437154192531, 10.195205001707174, 10.194732087822034, 9.735576488948327, 7.826007364578141, 3.052372594342778, 5.02982014284143, 5.427947068727613, 7.40270651912399, 4.898488151068921, 6.765508072906798, 7.27343221755936, 9.13547907562865, 4.756471390324025, 6.730760452556691, 7.131901225025523, 9.103583408399489, 6.595001746995379, 8.46163427358936, 8.969713800613306, 10.831427185925566, 4.732813647754902, 6.706974460461598, 7.1075559000432555, 9.07875569996555, 6.549540071519266, 8.416132647642176, 8.923929920121381, 10.78563706634673, 6.429981921749738, 8.401646124261012, 8.80448296345318, 10.77328908398905, 8.241866080649583, 10.107989029633998, 10.615950909093073, 9.822243480581058, 4.6974956544531885, 6.668199149928723, 6.968706861007986, 8.93908033177856, 6.540678000010514, 8.403493349135452, 8.808956644963427, 10.669566935515814, 6.397237523722591, 8.365531331311365, 8.66810772880204, 10.636021245612339, 8.233596195111417, 10.096206652570954, 10.501723850483089, 9.866345838104326, 6.373865091799134, 8.340284986057917, 8.645074517430881, 10.61115701083197, 8.185430942792998, 10.048062118082377, 10.45355395141941, 9.853806766653008, 8.065505280995248, 10.030220089442688, 10.336374456373356, 9.98727921989726, 9.873140700807765, 10.443113887549277, 10.14754346415047, 8.2461452249792, 5.116710687328308, 7.075817974871415, 7.335120108044687, 9.272815781805644, 6.88383611090456, 8.750575242953122, 9.080464131600882, 10.93808212036823, 6.774299150585636, 8.733110611327259, 8.970025817947512, 10.907528481209056, 8.541375129588607, 10.407867878224458, 10.714754792490934, 9.49187143092028, 6.770476811091154, 8.72880640469972, 8.984519044968193, 10.921997082095853, 8.523164473180168, 10.389351102881987, 10.71795435675131, 9.476187289476735, 8.4266510471221, 10.384732515011233, 10.618831858819343, 9.647415689024951, 10.17933821563589, 10.096219015130515, 9.75685582193153, 7.845581735024194, 6.748409233588484, 8.695926888845735, 8.872557787212433, 10.80745882589371, 8.503826982077808, 10.365677438386097, 10.615101223578407, 9.504597462856607, 8.394557144629614, 10.342073535842024, 10.504941058895582, 9.662324357314127, 10.149887240090994, 10.251102299592937, 9.799198658852438, 7.883432636299602, 8.400653674993563, 10.346998788240224, 10.516571684199679, 9.664581345224931, 10.139704735825866, 10.23211361846741, 9.779587478637481, 7.863406685974534, 10.044861031760675, 10.402793074171623, 9.85878412578715, 8.034830085451102, 10.516490408050153, 8.601514230340607, 8.148952875052577, 6.2327633406773355, 3.799456097816904, 5.790105318209031, 6.175400939796843, 8.163100354014139, 5.6534538966805545, 7.52677683499717, 8.028894560328846, 9.896924011318628, 5.454923071961977, 7.442655128734332, 7.830750773497083, 9.815604930295288, 7.303011311386272, 9.175878016396599, 9.678273958702032, 11.125769733763407, 5.471769943189214, 7.457409108832884, 7.847031216545543, 9.829391660854693, 7.2899865654908425, 9.163028584519987, 9.664986678052756, 11.078091984302008, 7.111477131617917, 9.095318183261888, 9.486492416176503, 11.226365334361851, 8.927551292896531, 10.800005862977446, 11.302269792461232, 9.477676024692716, 5.427768079407791, 7.411849704964387, 7.696116287333223, 9.679758821445102, 7.279501863623519, 9.148377611821907, 9.545502345931983, 11.148075821868805, 7.082423600582355, 9.0638918257552, 9.35076819034837, 11.287249157744562, 8.928506060734499, 10.797011570708476, 11.194495951130072, 9.548373053294156, 7.098200000249417, 9.076441695455198, 9.366486059164378, 11.256300878564339, 8.912659690080622, 10.781405698051707, 11.178632146276062, 9.502284841604833, 8.736554692896295, 10.713331525458635, 11.004840503443276, 9.65372673376464, 10.549137879273264, 10.095428973042186, 9.845395322903656, 7.899137182187118, 5.854002655681419, 7.822613369099072, 8.07091998560161, 10.014303020752434, 7.625471865205119, 9.49815594642535, 9.817858783902656, 10.795130728493248, 7.476299872113134, 9.444597851956718, 9.67696967988802, 10.95597286666558, 9.247711357243691, 11.120140375933804, 11.124692807626804, 9.175001894762378, 7.486225478638467, 9.453826484687283, 9.694394077391575, 10.943401966146034, 9.242200996216514, 11.114392595174703, 11.088800980843116, 9.13430492824005, 9.10199761682338, 11.069397750174424, 11.167953183402268, 9.315535564834397, 10.857929431070941, 9.76121747487127, 9.460112752276732, 7.505595539163971, 7.461451921006793, 9.416588543307373, 9.590989799095379, 10.967968633686896, 9.219627183987063, 11.086619705571744, 11.139748564680646, 9.18629802507512, 9.079064908257962, 11.034157072119216, 11.196655962327657, 9.34761253010476, 10.837227741131375, 9.936021343280007, 9.51947755798398, 7.565876757358517, 9.093659601050113, 11.04771696711036, 11.184310404189993, 9.329002365456695, 10.835750965749472, 9.890424573196954, 9.4773875669181, 7.519820356549886, 10.704623446132333, 10.07126853819279, 9.556729363033853, 7.701086411441505, 10.217146163292544, 8.261678412050227, 7.848639094768643, 5.891055842716105, 5.408058622924953, 7.3853877294321855, 7.783630755490234, 9.758268659540287, 7.253627254527101, 9.120080935378226, 9.628565737240704, 11.144368075049925, 7.061258608485412, 9.034652061042397, 9.436683029220962, 11.274370046051171, 8.89977429303848, 10.76541759258318, 11.274480227551514, 9.538948355238006, 7.070943953745089, 9.045104700762035, 9.445671019417063, 11.243572483582849, 8.884365518492258, 10.75014529898911, 11.258749691927857, 9.490573221303293, 8.706245362977764, 10.677569787452914, 11.080650670241331, 9.637203065846329, 10.516829212668, 10.004062585122565, 9.830210841665618, 7.882703642380434, 7.035936434857767, 9.005932797184904, 9.30327770206885, 11.273021124368126, 8.878931161428785, 10.74042424182375, 11.143446314469418, 9.569988038770198, 8.688398942000195, 10.654804382101602, 10.955740170533364, 9.704007913199714, 10.524621977585642, 10.15412661265555, 9.913770143211782, 7.961551314781304, 8.69714660683063, 10.663323183348218, 10.964336662927991, 9.673940967034625, 10.506587476247892, 10.1041158218331, 9.868123920835085, 7.9147639518923345, 10.331185942167041, 10.245585709007296, 9.924607568370748, 8.06439242820632, 10.441469207501576, 8.503916527855768, 8.25906518932776, 6.304140388284679, 7.45776402504837, 9.415658733608685, 9.670383284962918, 10.99880392094028, 9.224277178905396, 11.090284465527294, 11.170701739270495, 9.21260220717264, 9.07546118186207, 11.032573515683954, 11.229473747828035, 9.37203726780687, 10.841765337556179, 9.84176122850236, 9.544532830880435, 7.585834630298885, 9.083393323077994, 11.040874819947277, 11.214673574850298, 9.357882379405421, 10.83607004825273, 9.79543320641807, 9.504662834756587, 7.53924696594367, 10.693060108120546, 9.980457244166626, 9.582352485802204, 7.724890725152736, 10.126976669441607, 8.162063156905528, 7.871505194251842, 5.905875313900783, 9.06516460124233, 11.009040678272513, 11.189129442074325, 9.390537282895338, 10.818083034091922, 9.973943271177516, 9.565457399656633, 7.603648956809335, 10.678226017848274, 10.133532077351234, 9.623808847828125, 7.763428022436759, 10.306741901393197, 8.346864854007968, 7.9388677801704235, 5.976539620264617, 10.690784206324501, 10.113232991923025, 9.602647789827, 7.742895106763894, 10.26078953013674, 8.294942935273124, 7.892287467504628, 5.924224335864438, 10.336706677339986, 8.480164773949063, 7.970194533616141, 6.109812415068677, 8.627534051283844, 6.6614876681402, 6.259014379089049, 4.290758413301602, 3.7785298169407184, 5.738688443332453, 6.152615873470461, 8.11073269937197, 5.615257037727822, 7.472482085068622, 7.988378017990038, 9.841367647225374, 5.420603996158878, 7.380581415001314, 7.794669400492018, 9.752612029962123, 7.255975723293313, 9.112139868239368, 9.629088085730807, 11.134905741606964, 5.468041441866864, 7.422120121069445, 7.841500509495987, 9.79324913677819, 7.2694731192113435, 9.1266934547799, 9.642285984124705, 11.123048775274658, 7.102581350067133, 9.056117698069801, 9.47603818161971, 11.25997131584013, 8.903792799485224, 10.759954659399677, 11.276604737195244, 9.510702695862442, 5.407922584528427, 7.365706086793676, 7.67997493418317, 9.637034705553456, 7.243855613251036, 9.09943620229112, 9.513615253959596, 11.162431182480573, 7.049359412737989, 9.006910501524795, 9.321120925732322, 11.277967209366258, 8.884006432738339, 10.73843006060492, 11.153550527980777, 9.554111970287774, 7.093291188453753, 9.044188749963661, 9.365335399688634, 11.304894115093623, 8.892532765985537, 10.748108956714493, 11.162030094085068, 9.545743174282189, 8.726708811043178, 10.67692678834456, 10.998444867848985, 9.689000173682235, 10.525789914190007, 10.140277211791476, 9.89656390245982, 7.9297591146569175, 5.8243197693267375, 7.771780203537158, 8.025671560785778, 9.956688154095426, 7.589754894712037, 9.446979060251827, 9.771637062843284, 10.811828204412844, 7.437845640820481, 9.383579479036527, 9.628145859167498, 10.976516837090992, 9.202580967775258, 11.058668152796411, 11.15716581068359, 9.182410061452996, 7.482041375406487, 9.42676760997429, 9.675999952318458, 10.992940217975844, 9.229266287045021, 11.086484859127467, 11.149811109548725, 9.175061552919324, 9.093263999879557, 11.035935372155095, 11.21775625129737, 9.352032023056223, 10.839173403318664, 9.782436456681832, 9.50793175334136, 7.52965674899812, 7.4309564019691114, 9.372774268531778, 9.552638255970415, 10.995165382043709, 9.18810019540676, 11.043557434602365, 11.18094773685198, 9.200948580492124, 9.040426904184088, 10.97986557940888, 11.154454026764197, 9.366835488169833, 10.796342484987175, 9.943325349229255, 9.5537144361848, 7.5709760146117535, 9.087851323421752, 11.026565842914454, 11.19842712350196, 9.379231394012727, 10.825386172407448, 9.933153936823512, 9.54242678277826, 7.56064925181903, 10.694737843339997, 10.11091846397273, 9.610469660572253, 7.738208829580511, 10.270249678525483, 8.287946925367253, 7.900509853347825, 5.915068288914711, 5.382556224859804, 7.332256301540004, 7.7564093968334396, 9.704221794582992, 7.212793184971183, 9.064383220906514, 9.585555859616715, 11.153932104748298, 7.018878493819637, 8.96857169582622, 9.392723080778635, 11.284093620769214, 8.847000582480714, 10.6979981500544, 11.2197626357257, 9.543906937779427, 7.062358090156491, 9.007824999203429, 9.43545888068186, 11.284612136115456, 8.860505033704804, 10.71197817710447, 11.232874017834447, 9.528980108324767, 8.68888825032025, 10.634215231830876, 11.061988234709737, 9.668191452937723, 10.486537564323395, 10.041773933050898, 9.873913091309499, 7.912521191829584, 7.0107653059515656, 8.957513360401451, 9.281707721077654, 11.22796084821545, 8.839956453480871, 10.689531604769275, 11.108178294786002, 9.576665787893173, 8.64661600784231, 10.593345551468932, 10.917372536115657, 9.713940884297514, 10.473776687550291, 10.170144145550449, 9.939375050465928, 7.962958527826962, 8.686940103905107, 10.62876445558856, 10.95787976781194, 9.717164678251896, 10.482677209203437, 10.151360757382204, 9.928406468771563, 7.9514049033591725, 10.312539837064845, 10.289215099868198, 9.97435519253155, 8.097220199533693, 10.498063058104162, 8.547049203011358, 8.308851345209698, 6.331455415029726, 7.425367183343127, 9.363802126159754, 9.623869618330039, 11.020483913019408, 9.186547009730619, 11.038133204292649, 11.205813018018803, 9.220321977018918, 9.030487851196511, 10.968032713026272, 11.21612685103662, 9.388561434859584, 10.791333777990136, 9.840668167948476, 9.574459830615481, 7.587389047718149, 9.075368666510027, 11.012103640474876, 11.267444504279855, 9.401173280683631, 10.820105706026158, 9.824183072825361, 9.561127211459628, 7.5710426270270315, 10.676852026106785, 10.010409929275479, 9.629934012276681, 7.757724723343765, 10.16952508026642, 8.177309716007969, 7.916726961959141, 5.923986501367159, 9.031451941220844, 10.963638906317783, 11.148553654767493, 9.41121579384316, 10.783852119220782, 9.98164847424076, 9.602423542707847, 7.609441099185571, 10.632829684130467, 10.151479361412209, 9.656966681754556, 7.778815598419443, 10.339808286005486, 8.3486411960373, 7.970722061707095, 5.975945375012845, 10.680774477487976, 10.159880169991968, 9.664856947166324, 7.787251113852819, 10.32269613942871, 8.329294851442768, 7.953122483427137, 5.956517608564039, 10.390041255240968, 8.516668971526759, 8.022053881561533, 6.1436641032377075, 8.678434627259533, 6.682384291138666, 6.308659499682616, 4.309268084619205, 5.720974422996974, 7.630348769550881, 8.092857722311809, 10.0011919555431, 7.543576426361117, 9.363408220116865, 9.913895833307985, 10.488556090348867, 7.359716956382207, 9.26906925550852, 9.73159972588232, 10.581335388147743, 9.180083600169187, 10.960787153951463, 10.798275279195405, 8.845025111629077, 7.376924109816429, 9.285738351602003, 9.747336549795588, 10.59109154077615, 9.172540239123382, 10.949515502210254, 10.793812917934362, 8.83934801230016, 9.004527213691043, 10.913340021657806, 10.810355409342117, 8.94588388182403, 10.79956370239905, 9.318126907589376, 9.148474152981318, 7.19399868883194, 7.347359829953615, 9.251904959644879, 9.613258292856695, 10.643864107026925, 9.168519262907587, 10.984846450599749, 10.864398899232814, 8.89748886485637, 8.985665046270993, 10.89020310244111, 10.861607676448896, 8.9903045413081, 10.80468627396541, 9.455644096400487, 9.211124970423477, 7.2439022044968695, 9.000582035985815, 10.904285958398683, 10.877212130710584, 9.005734820901719, 10.793547784321557, 9.4396746750398, 9.213140631087605, 7.245558379183543, 10.627340581373554, 9.546312050416937, 9.222772831843194, 7.350872311334442, 9.752091976969394, 7.80652798915756, 7.5586387224260925, 5.5906952947615185, 7.766670823342473, 9.661190110663995, 9.965565031302404, 10.340883706843684, 9.514769658317777, 10.80343183710031, 10.521205339682457, 8.547933814309337, 9.376942362086842, 10.91352706177223, 10.525755028311009, 8.659116476478816, 11.093982039187527, 9.119367536486811, 8.838882732297366, 6.8638599497460575, 9.387541473083418, 10.957542083611099, 10.569000699525173, 8.70271852611199, 11.116437373641098, 9.140221044567587, 8.861221556117334, 6.884545065268524, 10.993477630654686, 9.271260477093293, 8.883197347005451, 7.016435745112784, 9.428314550048983, 7.449731871990533, 7.173089338215495, 5.1940533459548694, 9.369919244842789, 11.094844124355415, 10.594506995968425, 8.72312095140771, 11.107182770652859, 9.300088559656281, 8.908672028617902, 6.928275554611346, 10.976666076738299, 9.41073927564161, 8.910642890655284, 7.038442748215767, 9.592685437969061, 7.613291174164824, 7.223681044655301, 5.240934603260273, 10.990599560351596, 9.448908748546641, 8.94852528392365, 7.076625619275933, 9.610145700560961, 7.630375655132989, 7.24060741551637, 5.257869428638376, 9.628833606501946, 7.7610031792877985, 7.260847897539528, 5.388236918513483, 7.920472834595053, 5.937974286272958, 5.550661271619536, 3.5650410747698036, 7.317500299083689, 9.220527486668162, 9.689290829616343, 10.642554074505243, 9.13554669422625, 10.952085086878348, 10.865422553912957, 8.902511490529001, 8.951411612139058, 10.854279423594248, 10.865055424591214, 8.994726737152583, 10.766496630342953, 9.3735610942547, 9.2169873860127, 7.254001569619295, 8.96712701158736, 10.869930782199367, 10.873736950442177, 9.00333163660231, 10.760151942883272, 9.362539172799842, 9.210417355931263, 7.245275761523021, 10.587871437201834, 9.468286485810173, 9.224432918287867, 7.354024322539665, 9.675395306873254, 7.724995477502045, 7.560779428644483, 5.595597446083515, 8.94310134196868, 10.840772696246283, 10.938983733904827, 9.061747524615017, 10.759477250870098, 9.507537488865012, 9.287969847529599, 7.310894968647688, 10.576678949070239, 9.599821826698175, 9.28111740592401, 7.4036787982545285, 9.821450084974593, 7.868241031618366, 7.629828561453664, 5.652690846956617, 10.590285146359031, 9.595500126022024, 9.29545686310458, 7.41793207577734, 9.80568083414179, 7.852393902585961, 7.629745059541547, 5.651195787427216, 9.823987291631703, 7.95737468915735, 7.636715254444443, 5.759007355501418, 8.166671093857254, 6.21290103554796, 5.9708658948992905, 3.9922278614359943, 9.360039140189773, 11.010711730489664, 10.628635996780856, 8.755691193438587, 11.105609561215093, 9.2108749015436, 8.941060301523578, 6.954946373822093, 10.96299996710783, 9.325920489449567, 8.944110760855859, 7.07089223348939, 9.511063718017617, 7.524364625370994, 7.255653530367033, 5.268415351414511, 10.976375700328118, 9.366256408633003, 8.983647576622584, 7.110690049284483, 9.527669256160419, 7.53654361298482, 7.272094049757117, 5.280339246661416, 9.549206831971436, 7.677693390782298, 7.29534957193598, 5.422126458735746, 7.837436567618845, 5.844592199329559, 5.5818428229289845, 3.588379748301338, 10.963015462871182, 9.510103761067136, 9.01605461571839, 7.137926324523165, 9.697186351268087, 7.707496857388357, 7.3284371473343235, 5.335272157473054, 9.696530136334852, 7.822862734926192, 7.328799460023546, 5.450186284824092, 8.009363326231046, 6.018196231882724, 5.640266806907462, 3.645490004927834, 9.730468649947419, 7.857078400721045, 7.362744029593431, 5.484447566200497, 8.020592906373267, 6.026369303011355, 5.6510047332526385, 3.6535897330374043, 8.04050726658129, 6.166751771133381, 5.672431359695468, 3.7936907481109254, 6.328653566775567, 4.332411587408196, 3.958806403102958, 1.9592408617774713, 3.402385147572914, 5.392796278924839, 5.775294134963602, 7.762570680416994, 5.235356489120588, 7.106379029783862, 7.608136135158673, 9.474388375597682, 5.096598551108956, 7.084964795352008, 7.469126546687967, 9.454482270003965, 6.926042237043507, 8.796657241627258, 9.298399656620537, 11.13832002924577, 5.088619571501774, 7.074079240849037, 7.4610675833487745, 9.443111414555702, 6.891670105298449, 8.762598640467006, 9.264077284391632, 11.121526188081077, 6.778256278289763, 8.762204940242915, 9.150234342728321, 11.130892544095598, 8.579319765641745, 10.449806963540759, 10.951237392481087, 9.52190535164603, 5.030788885657853, 7.015548051093278, 7.286983082748375, 9.27114076501253, 6.863130280227271, 8.729015865858354, 9.118665519521116, 10.982872704658298, 6.722652385007654, 8.705779756217494, 8.97883815532081, 10.961353876416144, 8.551648336964698, 10.417290661830384, 10.807182919264111, 9.535104588957974, 6.710823799509164, 8.689230361867459, 8.9667546467033, 10.944639029898333, 8.511788135903718, 10.377672921767742, 10.766780698649773, 9.521489030656113, 8.397256057937138, 10.37460623562028, 10.653165600689157, 9.664632979010413, 10.196528155025758, 10.115395043905774, 9.815110575059057, 7.918528156704415, 5.435205779184866, 7.4048124624719955, 7.655173689685953, 9.600582787366925, 7.200672410145511, 9.070639441122585, 9.398661779089455, 10.769393385365035, 7.0941003162535505, 9.063637264437544, 9.294654677972993, 10.9401105083982, 8.859517645270715, 10.72932782103285, 11.036761222109881, 9.149355777016847, 7.095621083552569, 9.063625989369218, 9.310420721569, 10.949481524727013, 8.845161060765612, 10.714907535884397, 11.039776911483703, 9.135557907067241, 8.753746993961533, 10.721705668032877, 10.949703938806197, 9.318758430043575, 10.503139831733963, 9.767318442109762, 9.406312861655321, 7.501980032831012, 7.037626909184444, 8.994478952609661, 9.16679007992575, 10.939332092998429, 8.794993224833012, 10.658098972055384, 10.909158134205635, 9.146597004789804, 8.687285553274187, 10.644088829351759, 10.804329414990976, 9.319503879920065, 10.444272136854577, 9.896228967460331, 9.43563134316636, 7.525846443529927, 8.696006563425929, 10.650564135725823, 10.815304467523069, 9.325436020364283, 10.435569605301174, 9.88187976350943, 9.419698054854642, 7.509899846768233, 10.344494583750402, 10.064846092857529, 9.5176733404756, 7.6944834004636675, 10.156850443462842, 8.247968497703722, 7.78594390562707, 5.875988533672155, 5.008019713934032, 6.9846421787046635, 7.380699982651978, 9.354380541183641, 6.829850405577178, 8.694789488703577, 9.20234095687722, 11.062708082206568, 6.700695070646722, 8.674560535733953, 9.072959441680187, 11.044027670920517, 8.518159023835615, 10.382434312277615, 10.890175304771784, 9.549627962245916, 6.683880303759117, 8.657491833856614, 9.055989792769573, 11.026431589831777, 8.47984924403943, 10.34444090406608, 10.851884158946252, 9.53549561778568, 8.37105119424789, 10.342439254562485, 10.742630116051755, 9.666444215172138, 10.164422876104926, 10.044384161048896, 9.82028812888001, 7.92874312908476, 6.636285241003494, 8.60678876458827, 8.891949019233767, 10.862012807742616, 8.457378797010614, 10.316860024654204, 10.71217508089061, 9.55212418999847, 8.326665951574443, 10.294902743112646, 10.582326996484591, 9.683936686633366, 10.143608421431649, 10.139690933785989, 9.84780841802284, 7.946187596855358, 8.306084265373253, 10.27245858830181, 10.561576705362963, 9.68376414951329, 10.09993149359514, 10.122483689533428, 9.836480770348366, 7.935373165545382, 9.990038949894505, 10.255165554272724, 9.900018360420678, 8.073757105006077, 10.411635777694665, 8.524261241386442, 8.226820513087654, 6.3251011256934735, 7.033543274448131, 8.992579475579909, 9.248722465927463, 10.979392892315557, 8.792483946589828, 10.656692446736049, 10.98756500128064, 9.186314465967836, 8.688313463057971, 10.64702984095235, 10.88184918769541, 9.353120036371987, 10.447254057018746, 9.825186109607671, 9.47008483735214, 7.559555535195643, 8.686680716030402, 10.644921331599068, 10.897724243584081, 9.3639338769116, 10.431710478072226, 9.810288508943819, 9.455744405400559, 7.544475114937962, 10.340165917227647, 9.98980216131686, 9.550563580808085, 7.727759624094579, 10.08336962142247, 8.172102192925456, 7.817443615541743, 5.906168134114079, 8.635905916283614, 10.582168767981498, 10.759830514763722, 9.358860634053064, 10.386798013680334, 9.933721438710354, 9.479042084665082, 7.563162591784184, 10.281225142433112, 10.101452228234635, 9.555933027385239, 7.731836919550439, 10.220804074366749, 8.306141921075833, 7.851438910118112, 5.935557588649703, 10.28689224489914, 10.109538241644003, 9.565252454351977, 7.738994273749784, 10.205426095053651, 8.290222783130693, 7.834484125555827, 5.918147749255271, 10.29659521340739, 8.473029666363994, 7.928995308246189, 6.102482198424752, 8.566704840447834, 6.651480233703555, 6.195761947035862, 4.279404648502082, 5.75239642818191, 7.742615455009474, 8.125252207543983, 10.112318993039377, 7.5853168880797455, 9.45596596736975, 9.958041619430833, 10.83596743547364, 7.399526148297886, 9.387063354155481, 9.772051851588225, 10.974022011686277, 9.228844526181053, 11.098750778930622, 11.17677609049285, 9.23853133695404, 7.4190640173461, 9.404523674466423, 9.791502096806749, 10.942945075743662, 9.220298677954617, 11.090753304434653, 11.129304784969232, 9.190562454086113, 9.052424776128516, 11.036189965621974, 11.199084252919521, 9.34227248355752, 10.852603746915525, 9.706418804002746, 9.529295951361519, 7.589172820753508, 7.366395295333176, 9.350423357612568, 9.619700530545686, 10.979081086065133, 9.198727995170454, 11.063590535864586, 11.178216354128946, 9.234315923697515, 9.013342686135196, 10.99480988270715, 11.23736507127282, 9.378479866008824, 10.84212345017231, 9.82525580801611, 9.577848324606887, 7.63283067899671, 9.029796935536863, 11.008035717320041, 11.207993238349541, 9.34956648111221, 10.829449829965856, 9.773885756304725, 9.533640471561837, 7.58790954744421, 10.66261457968616, 9.92508992225679, 9.603807645793978, 7.744778283803495, 10.11293137277751, 8.181605156938119, 7.929406333517592, 5.9827851425222525, 7.774428792925312, 9.742750110488714, 9.989321564047254, 10.666377925021882, 9.538871042296899, 11.141131272346318, 10.819839135377949, 8.870289910619139, 9.394309381542854, 11.309386815770686, 10.897996557884461, 9.041180492106587, 11.158748339840791, 9.515711181393561, 9.194449409052474, 7.24468590163595, 9.405888507198567, 11.300388013224394, 10.888351919595422, 9.032150749382593, 11.155422743213125, 9.475182181783438, 9.15883683880099, 7.204340771320137, 11.019513113593217, 9.666657062449259, 9.255187946718868, 7.398310913619011, 9.793488458773773, 7.839510424269829, 7.522999552413943, 5.568482155109128, 9.354531294489247, 11.307600077071756, 10.90317048556556, 9.044824336560914, 11.109156378649546, 9.619695391028257, 9.199817610769772, 7.246352058426323, 10.970957281229396, 9.79143436426811, 9.277673726942611, 7.418786776355357, 9.944486140843427, 7.993164188779653, 7.573427347870819, 5.619820102623292, 10.985879597307452, 9.778162360476015, 9.263542418362317, 7.405108953919642, 9.906016116827507, 7.950394504997292, 7.533952561375868, 5.576298928267255, 9.998750167041358, 8.143939931677608, 7.629926512594071, 5.770885743576866, 8.269704842408544, 6.314075922643245, 5.897633435029064, 3.939971463345276, 7.358030967002092, 9.334456734110033, 9.730657951526384, 10.988587078497053, 9.179809270487985, 11.044375630720232, 11.196427447754981, 9.252347265118056, 9.003474806908521, 10.976360131554905, 11.246683394195152, 9.383812247385691, 10.820763864577458, 9.756209243662259, 9.592354724768619, 7.645438822701241, 9.013913206940932, 10.987514148400972, 11.216098396874994, 9.354681223205244, 10.808241535436805, 9.712238810465177, 9.545524117829492, 7.598019602668883, 10.643722094882522, 9.855276636301321, 9.609297543961894, 7.7464257825531675, 10.048486364980587, 8.110378711305701, 7.938431303538622, 5.988524213178655, 8.971888258946013, 10.94162221508262, 11.224653495327809, 9.397442418773654, 10.792974501935664, 9.834898817690966, 9.601686991739534, 7.650578514878841, 10.617167338074418, 9.965778947076672, 9.652269981091852, 7.787533019499677, 10.171349690639966, 8.233682190096976, 7.992511450044319, 6.039346274718035, 10.624633068232466, 9.930111059475987, 9.624345827476061, 7.7607345386576005, 10.120914610677437, 8.18581203641153, 7.94918719097965, 5.995136107262288, 10.188223490452492, 8.329957862237503, 8.012653491585892, 6.14790300051224, 8.522297010297557, 6.583298453749339, 6.337384208191074, 4.381598392733446, 9.372601629836627, 11.330457212441063, 10.945959245217917, 9.084194303402908, 11.130596865448968, 9.556126870638387, 9.242610815021346, 7.284295297121416, 10.988498161842193, 9.720558860050538, 9.313892167139501, 7.4509195267569615, 9.881242077394104, 7.92300552724023, 7.609872650730123, 5.650864057557157, 10.996890341423423, 9.711977559600395, 9.304088112757494, 7.4423000711836576, 9.843498050842985, 7.878792597641695,

Search equations, builds, manuscript text, and recovered sources.