ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

n12_sparse_ring_r03.npz · Lines 4501–6000

Source identity, revision, and recovered contents.

research numerical array sourceSource text recovered

A continuation of n12_sparse_ring_r03.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 · 548.5 KB
"name": "normalizer", "dtype": "float64", "shape": [ 2047 ], "data": [ 1.7039113099795316, 3.5352490675960992, 3.6254649690233895, 5.449120878955959, 3.7059921611325626, 5.528547440212942, 5.62754435681548, 7.442251730167358, 3.8345577269027142, 5.653853661147222, 5.739328806570235, 7.546317047827502, 5.820380394083129, 7.626023176574391, 7.724526035518243, 9.516526349396358, 4.066155696473713, 5.855876198788428, 5.96433267353262, 7.751782512054787, 6.066853746696599, 7.849045733964143, 7.964942710802124, 9.744716387247188, 6.180153306358246, 7.963864158120574, 8.051310888965965, 9.830442155912774, 8.162109908690766, 9.934927759860354, 10.031467868719313, 11.798677000088016, 4.329655884995022, 6.082799190545316, 6.222353693884111, 7.97480671074234, 6.326366065305049, 8.061864614472153, 8.218786282768473, 9.953728453312731, 6.449198626557598, 8.196582974848674, 8.315775147571223, 10.061153790058336, 8.431892048951557, 10.15714578429903, 10.298363084115621, 11.585039202686776, 6.631532566125937, 8.36872120044023, 8.51340431964746, 10.250526695227315, 8.623866525578691, 10.34583513358322, 10.50568779017687, 11.41796908930116, 8.74107862205901, 10.474706592924838, 10.590310660369987, 11.290030295325469, 10.716570739147336, 11.0058407635347, 11.121557215064438, 9.346555044409488, 3.3123110501868847, 5.143430337219187, 5.22891941482816, 7.052536943601245, 5.308329112647032, 7.130863197548174, 7.2248562988791845, 9.039545395682394, 5.439403269724878, 7.258106616422851, 7.340493776392503, 9.1472529495584, 7.420535810886726, 9.225999933996796, 9.320657452047922, 11.112648573213, 5.647409995903102, 7.436015351308275, 7.544197921615265, 9.330349083103119, 7.643029196994114, 9.423403221261765, 9.539642576841295, 11.317347025401943, 7.752700289046727, 9.53585555971151, 9.623585066821922, 11.402077686606827, 9.73165058082824, 11.50344059110039, 11.600612713517648, 10.367134480844047, 5.936971559351117, 7.6892407515348395, 7.823177576704363, 9.574913929465229, 7.928069108377883, 9.663311296991111, 9.814206674459015, 11.54896748041511, 8.053446324901225, 9.799548443830812, 9.915120906828623, 11.659501028879749, 10.0316788302258, 11.683906185895763, 11.775462340411295, 10.027045633023983, 8.203534080932922, 9.940711576672271, 10.08228214787481, 11.774886136514354, 10.192279456259875, 11.489927016226085, 11.61222867774081, 9.850456011472248, 10.30579354464663, 11.37946457721642, 11.497144264102069, 9.723085244468619, 11.207311257390877, 9.432784593431741, 9.548476078779554, 7.7731958936453385, 3.7395815249102458, 5.555677341033487, 5.461751958519501, 7.277401090517382, 5.741614838458073, 7.54888548966587, 7.463745542017519, 9.270524910081495, 5.870124389281484, 7.674201536390503, 7.564664237063948, 9.366405536268866, 7.855868578736022, 9.646237290738346, 9.549018380685885, 11.336327521314406, 6.030365447885925, 7.816992153158936, 7.752518876395198, 9.538714981526201, 8.031012083048662, 9.809962601676283, 9.75312287896045, 11.531601444796106, 8.142769562106634, 9.922824608745172, 9.835959756256425, 11.61430130527557, 10.124497340498515, 11.815450054066607, 11.811983099456912, 10.100722774257274, 6.35528138956105, 8.099816504340179, 8.058619100985673, 9.80217902624505, 8.351686297965097, 10.078881853219457, 10.05495543621587, 11.781039766197626, 8.474802027295269, 10.21338124038758, 10.140831540392071, 11.72120665712036, 10.457208959052867, 11.51308319420331, 11.511305978900054, 9.764504356587022, 8.595532401506123, 10.329826746700533, 10.297206127438766, 11.51161997469744, 10.58783773740047, 11.318036266608754, 11.342272349898229, 9.580517862682672, 10.703357939806315, 11.201500958549232, 11.235954543380773, 9.46205367875769, 11.028676950445846, 9.254009611117407, 9.280376906763546, 7.505261286556661, 5.318973013915585, 7.134845065147706, 7.040064920813908, 8.8555180819023, 7.314848318638948, 9.121458718198335, 9.035932983997746, 10.84210130498227, 7.44543438227537, 9.249484335492946, 9.137553632188252, 10.939291439054873, 9.42650660052324, 11.216595212243156, 11.11755214420237, 10.719352949163996, 7.597055695570682, 9.381782445533101, 9.31805826545503, 11.102434625468035, 9.592290756996613, 11.368392762242014, 11.313284137946276, 10.577723729917148, 9.701734859835582, 11.480630829867774, 11.391697644510234, 10.45142495683647, 11.680085018188258, 10.225989427485299, 10.218332811762478, 8.507020590800899, 7.931199139698399, 9.675684733005646, 9.634052772890414, 11.3775757926748, 9.92229569294475, 11.649448675084198, 11.625036904747576, 10.22322196814866, 10.047588220307556, 11.785992194348104, 11.712132943006488, 10.150927770425866, 11.6902069566388, 9.941513797662903, 9.940526321716046, 8.191049823342704, 10.152189688454962, 11.643997226739158, 11.67783739839307, 9.91999520089625, 11.48783634370978, 9.72608273946668, 9.748890551943587, 7.987117754423611, 11.383985787178071, 9.610102533448881, 9.641809961881423, 7.867605639172629, 9.433553514290995, 7.6587101514182345, 7.68305181478469, 5.9077198152556605, 3.2525484860612264, 5.068661409276085, 5.163826613535316, 6.974779337262536, 5.246536208243111, 7.056268704728414, 7.157611291793627, 8.961876742128405, 5.374824512446002, 7.17432213955597, 7.272066580206179, 9.062299134348233, 7.3549704835834735, 9.14356258382178, 9.251011170091957, 11.029062787512087, 5.599227771083538, 7.380295720067437, 7.49138627641903, 9.27100659262474, 7.592731785554619, 9.367901257315967, 9.484533965240214, 11.25807545104375, 7.699290724028405, 9.471297485173377, 9.567677204692986, 11.33602366791165, 9.677122959671152, 11.43991438566795, 11.543250506035264, 10.42090350488399, 5.8675332799264375, 7.612337542034325, 7.753869678749916, 9.498408934901931, 7.853751816461229, 9.5837413278663, 9.740060225295618, 11.469806231108935, 7.975107290335382, 9.711469313520768, 9.83841225162482, 11.57341591192709, 9.950346188247021, 11.6675955087489, 11.81334821409477, 10.069446300666048, 8.160193434874067, 9.891589322011928, 10.03757671299044, 11.76897164870139, 10.143565358372111, 11.545939676146666, 11.68246935523071, 9.907572549957425, 10.253977005184531, 11.43177271534474, 11.557004089826703, 9.774605226765289, 11.269470235802428, 9.485469524952409, 9.610172014325581, 7.825584717402078, 4.8499535303736865, 6.66605511435263, 6.7580331976044405, 8.568901915528716, 6.839611846233184, 8.64922603286547, 8.747305713137022, 10.551279339118754, 6.970017938301284, 8.769488287490942, 8.864809129614507, 10.6550394504827, 8.946690823363516, 10.735270896135757, 10.839959929398088, 11.03870453550655, 7.174180543036504, 8.953273310614255, 9.06550066777839, 10.842994896470927, 9.163767397361974, 10.9362600913829, 11.054623674102503, 10.930835876538879, 9.267569889227907, 11.038418018648251, 11.135818274167724, 10.792698855075479, 11.242970597285694, 10.479856662366021, 10.563198842963157, 8.846907775167553, 7.462513643058267, 9.20707206845173, 9.344040967385462, 11.08837977891313, 9.445099874650598, 11.175059150146211, 11.32662683854576, 10.559666784066415, 9.56854306437171, 11.304465278376288, 11.427943711652942, 10.46311732804045, 11.540741470187704, 10.165453637269682, 10.262374204780013, 8.507754830728082, 9.724152834675248, 11.455376988892505, 11.59923100396179, 10.264017555250373, 11.705146038992943, 9.975582671472804, 10.111042563531177, 8.336111275518371, 11.642676897596932, 9.860564152496664, 9.985869574909962, 8.203326978963792, 9.690727288414477, 7.906681216732627, 8.03120081081429, 6.246574790479645, 5.267832671278919, 7.073514711052585, 6.989394334804141, 8.794760007977876, 7.261691947682843, 9.060585355120017, 8.983162834087121, 10.78169432504778, 7.38925448608368, 9.179051250514307, 9.083786933687895, 10.871225326086353, 9.36935687394072, 11.147831982718124, 11.062461597837427, 10.759622541503397, 7.552310070871961, 9.331557340581824, 9.273869852842402, 11.052795150725968, 9.54541101277294, 11.318543450606871, 11.266878857386807, 10.660512464649077, 9.651840676692807, 11.421711904445573, 11.345024675137518, 10.529683095490952, 11.62907138633143, 10.297412415438393, 10.297558020911305, 8.58149561523714, 7.876113833128532, 9.61484703445798, 9.579381243361517, 11.317069903790618, 9.86233088709666, 11.586031838405287, 11.56554698641735, 10.278637149826604, 9.983442691544067, 11.713946475537123, 11.648983052814874, 10.203846860280372, 11.748332415915554, 9.995374010625332, 9.99681512946667, 8.243525442638422, 10.113253377339968, 11.717694869668655, 11.763521350537143, 9.993037644697282, 11.575157341549211, 9.799997636375121, 9.835608694648819, 8.060438428793361, 11.463679519464467, 9.68043454159098, 9.71969623738204, 7.936399955315861, 9.513307729512164, 7.728340973328164, 7.76119951828753, 5.976075259690777, 6.841671818701951, 8.646675430236998, 8.561962074669653, 10.366693234101046, 8.830646405797633, 10.628345720667834, 10.550900046967113, 11.248079052403657, 8.960107884593494, 10.749625622773555, 10.652172371284566, 11.143463243429554, 10.93638167966011, 10.915067538514993, 10.904494075343546, 9.19572885676508, 9.115021139761016, 10.891582974437675, 10.83526594708692, 10.986092443589747, 11.103690740005401, 10.76109381826168, 10.771448493674454, 9.060958347457625, 11.208298054282478, 10.6456646615111, 10.636300645493298, 8.928111014319079, 10.406429336165894, 8.697583863823713, 8.693010955284235, 6.976637689753073, 9.445205331517363, 11.183935183691506, 11.147937377242847, 10.647618111925764, 11.427561297454485, 10.453649791723157, 10.468767388363014, 8.716800610995453, 11.550601439471066, 10.375648263281814, 10.382190979693496, 8.62868170660676, 10.173423034328366, 8.418719399044237, 8.419562049806874, 6.664411369356385, 11.664533654457742, 10.121528739666545, 10.16461786585906, 8.394102959103094, 9.976016887787896, 8.200758837327097, 8.234546922982577, 6.459273882746138, 9.86477401602112, 8.081512828439624, 8.116661784982902, 6.333343457348933, 7.909251919201409, 6.124285133438299, 6.154023465554608, 4.368898533761264, 4.10387656332251, 5.933331403909506, 5.998759104614395, 7.818111320320682, 6.097660116138117, 7.919195307348789, 7.992136159692116, 9.803915006395144, 6.194791455378815, 8.013893972621794, 8.081564561324253, 9.887276369987555, 8.162630480569344, 9.96820665295424, 10.04940358639859, 11.80943620467341, 6.432274996850281, 8.211506541659348, 8.313337680845382, 10.087904277099195, 8.42207798436716, 10.195947656539246, 10.303041921737998, 11.706060111611125, 8.485082566764838, 10.262204157799658, 10.349544651106992, 11.55919348446365, 10.43997414867697, 11.247214155579133, 11.318018131978624, 9.60274196559761, 6.718523638741816, 8.471652378764253, 8.572282937123695, 10.324604825970349, 8.704462706871373, 10.439709984098668, 10.55598889016088, 11.35006403716773, 8.803030997544617, 10.550142066301564, 10.642773820172643, 11.224503546959912, 10.765572578154053, 10.92636382949157, 11.02913241063057, 9.262010684082451, 8.963321974455148, 10.698164210538167, 10.81514692989855, 11.067985134952709, 10.937694609125929, 10.755026766002375, 10.882304870514888, 9.115555784088118, 11.016102209647594, 10.622671121207944, 10.74539895459812, 8.962062940157564, 10.449680787848036, 8.664649247581709, 8.785864520096181, 6.999300533306572, 5.710011911561057, 7.539324780618596, 7.597896842253453, 9.417249041860497, 7.698542085913838, 9.520068924783997, 9.586288254520543, 11.397992854716676, 7.7951533836465465, 9.613720620375208, 9.67630277458679, 11.481889482842039, 9.759728920671442, 11.565107760314453, 11.640841143964215, 10.256486620893705, 8.004475608251497, 9.781402568644168, 9.882384769313258, 11.6540514729882, 9.99086445488689, 11.744576945263187, 11.840603253654638, 10.136200235308296, 10.038953304859241, 11.635585900217764, 11.700747982407403, 9.994039361146614, 11.380825065502442, 9.675355184077315, 9.746410630740385, 8.030784971382118, 8.323017107523263, 10.07528372288143, 10.166903186830895, 11.750938037253112, 10.304327155822309, 11.433019466844721, 11.54678021644298, 9.792161039381835, 10.402346674308902, 11.327622003097368, 11.43278256883698, 9.668031921207735, 11.128777999952923, 9.361871729340574, 9.46515568129234, 7.69717088481928, 10.519525353105664, 11.132361699521285, 11.261768302914344, 9.501266443175112, 10.949562717364842, 9.182871413599125, 9.308773553309699, 7.5420125416861765, 10.836700388495048, 9.054268202276234, 9.176996339811076, 7.393437590619139, 8.873597144156255, 7.088483338707091, 7.209195062729183, 5.422571048453701, 6.131150555565946, 7.943563172350613, 7.835043942032898, 9.646344362959653, 8.124576255384909, 9.92941948520766, 9.828337281133477, 11.632144674945227, 8.220684161143204, 10.023759748822961, 9.906269171904704, 11.706526378516335, 10.18773741793824, 11.714291140760245, 11.70226815595338, 9.989721090589427, 8.395698356805127, 10.17128655583814, 10.098842798314987, 11.832468446792355, 10.385491791852091, 11.575631960608767, 11.579336829702648, 9.874699511225865, 10.447460573004726, 11.453858411336796, 11.442997221290202, 9.736265054759935, 11.200300471958522, 9.49481638130166, 9.485043135132557, 7.7692476173206515, 8.732283269757636, 10.476482075813745, 10.40854810843025, 11.492449253056272, 10.717062292027165, 11.264423791675496, 11.28395013259985, 9.52914135163645, 10.816185335100311, 11.155938557630177, 11.17779828654753, 9.414373307657055, 10.959246810548501, 9.193254910292186, 9.207744937651547, 7.440344673653934, 10.926239564569332, 10.963210066895833, 11.001890906630539, 9.241306073314925, 10.78342876760982, 9.016739684028233, 9.044613349222018, 7.277863385167837, 10.65869339799298, 8.87551697994286, 8.917194155704106, 7.133464238022152, 8.697364401925466, 6.911667883048296, 6.944683045690245, 5.157999367606287, 7.705355323929467, 9.51731408436821, 9.408861643902261, 11.219745631996343, 9.693884560306582, 11.497813112861516, 11.397208135636442, 10.507973546017546, 9.787105562007273, 11.590090757181455, 11.47129776079421, 10.38924989000927, 11.751487354051756, 10.146889416062697, 10.131218899994643, 8.418671734643512, 9.952080047228023, 11.724087219318216, 11.655004699222136, 10.238285552410284, 11.679316104706324, 9.980631213699551, 9.982435320861676, 8.277420613034005, 11.56140980185555, 9.862767201506896, 9.848053829805679, 8.141287687071294, 9.605164143022701, 7.8992038792327595, 7.886648630501094, 6.17066094178432, 10.301214947277888, 11.64042339801874, 11.669906163337759, 9.920946791673863, 11.444514984085393, 9.689605136597361, 9.70912777382748, 7.953899472696124, 11.345760266379369, 9.581748103694556, 9.603009321698641, 7.838036606236378, 9.379866668759233, 7.612908753155329, 7.627245202390544, 5.858759871197799, 11.130277907162737, 9.3697231245975, 9.406316700599216, 7.645720702992179, 9.185421737266502, 7.4187189493656955, 7.445431626057031, 5.678670585917612, 9.064686380703622, 7.281432013984791, 7.320542923807022, 5.536701259967794, 7.097935140461258, 5.312225296298571, 5.343560899237865, 3.5568470713633755, 5.6521939797302805, 7.46663242363021, 7.535319580221846, 9.342706985702327, 7.638162040753709, 9.446914526496583, 9.521240492993291, 11.322984855242742, 7.733012678679327, 9.53248414988827, 9.610314402704207, 11.399932945698716, 9.696208053260504, 11.484597348660355, 11.573420347001667, 10.29698495156828, 7.962629452324457, 9.734366248148884, 9.835773378499697, 11.604108994731032, 9.946323134701746, 11.713896011851315, 11.819467031559002, 10.202967332814431, 9.994319229456814, 11.695414129793848, 11.764212058535975, 10.053816298706042, 11.444220020577928, 9.733587055871045, 9.809727605447327, 8.089113751982637, 8.25639400930117, 10.00118598813058, 10.103146012013472, 11.799388981749866, 10.231692498358637, 11.481968291271523, 11.608657962361344, 9.842532844382259, 10.327886878160795, 11.373193568416209, 11.483270424342743, 9.71274143073937, 11.183076130446555, 9.40844054904718, 9.51912285046493, 7.743563581306109, 10.490658235101087, 11.18832757862856, 11.331239651352327, 9.557826234499572, 11.02154502608687, 9.240195571450961, 9.38213757778242, 7.600724388362362, 10.899150200374443, 9.107488509863334, 9.238648927514213, 7.446100408197194, 8.938420365748332, 7.142594283308627, 7.273948654111984, 5.476840462082491, 7.247533064293434, 9.061935323442079, 9.125854320611282, 10.933035269758514, 9.229823022033267, 11.038417487418558, 11.108143367071294, 10.841306462021592, 9.32443728404804, 11.123885736325668, 11.197749281045525, 10.710262210729558, 11.28526110302314, 10.375269932815215, 10.454499961833672, 8.737881072348415, 9.529470494674765, 11.297879385653586, 11.400348991826018, 10.588482325113725, 11.510570218564318, 10.236111169399688, 10.339704510869845, 8.626848290578883, 11.545921826682275, 10.124648270075484, 10.193646061632606, 8.48304302821899, 9.865517874386065, 8.154177627119402, 8.230989423504743, 6.509607389524945, 9.84852650650512, 11.593079500885171, 11.687559634316587, 10.245765123014138, 11.68866382102079, 9.922554310346396, 10.047871554887946, 8.28168583134763, 11.584507747635229, 9.813620008450727, 9.924563325863623, 8.153116724007475, 9.614372677403924, 7.8392869859157095, 7.950116081676633, 6.174136876049539, 11.391818462028452, 9.618401966071335, 9.760682977203587, 7.987251976172165, 9.444600269225763, 7.663024019034307, 7.8038078170098135, 6.0221543094788625, 9.326182416474358, 7.5344815246596815, 7.665523414250979, 5.8729419655642445, 7.3559647936072485, 5.5601319336851, 5.691032045172147, 3.8939101915704364, 7.658018017357216, 9.460565830049347, 9.3608645704101, 11.162563267161048, 9.643985279428057, 11.440730814230667, 11.346773554010671, 10.568675343752062, 9.73528700799022, 11.524652883837838, 11.420732221737891, 10.445559271432339, 11.698291857562625, 10.197927952019011, 10.18933443919653, 8.47225885999893, 9.914395707686054, 11.683816493803182, 11.616232230503783, 10.32678197318456, 11.77135199023554, 10.065678454787925, 10.076617773471238, 8.364652708471118, 11.645016937191219, 9.942181218959991, 9.933292304648969, 8.2228941717561, 9.687399266087583, 7.976126324390182, 7.970422797039115, 6.249590378837192, 10.252580244307937, 11.701983774512925, 11.740019046280194, 9.981638323592225, 11.517736649900723, 9.751676659476956, 9.78151146341227, 8.015305148908425, 11.410588924806133, 9.640481397099766, 9.665529479710791, 7.894990584541143, 9.446352484716243, 7.671678335015922, 7.69168813164207, 5.916083227722862, 11.218512653945638, 9.444553814212416, 9.494083740074835, 7.719896010697744, 9.275842017367362, 7.494182577275711, 7.535208791701459, 5.753549106888699, 9.146934990981459, 7.353444997361058, 7.400765732553569, 5.607080079039932, 7.181158796676432, 5.383991217618264, 5.42496034391483, 3.627271403188015, 9.227156717978362, 11.028699133497692, 10.929471336550863, 10.960997964292577, 11.209273150680625, 10.699113829454085, 10.706168156466392, 8.995811039549935, 11.29827707026634, 10.594524552811727, 10.57719868058356, 8.87066934966768, 10.330547621672515, 8.622287670936505, 8.60952089044569, 6.892359011170611, 11.46767905170637, 10.415290590014948, 10.42169752705661, 8.723382325784467, 10.167535291986988, 8.46045305364728, 8.469944313694793, 6.75696520674895, 10.045208276490836, 8.341844230558584, 8.328446743923578, 6.617838687969961, 8.08178318690703, 6.369401513583783, 6.360729072605708, 4.639278943896006, 11.815035549361124, 10.127521830723481, 10.164572761036847, 8.40586366364092, 9.938168919266493, 8.172022177792966, 8.201377900898441, 6.435076956539799, 9.832194404145548, 8.061264476824121, 8.084413566648987, 6.312956288374975, 7.859928791405917, 6.084837839636105, 6.103622025756572, 4.32752337854876, 9.617563813922471, 7.84349535806953, 7.890372629930458, 6.116049701008022, 7.669416381270442, 5.887362642867617, 5.927167169461327, 4.145113028692367, 7.544870906398164, 5.751364763458732, 5.794998366377293, 4.0013047145156335, 5.572178117776861, 3.7748843690225233, 3.813483314178856, 2.0157012433237913, 3.718724173878962, 5.509357406781885, 5.477728252605267, 7.267934912579545, 5.698893557371105, 7.48640924117595, 7.448941035333906, 9.236277614682837, 5.848061902637047, 7.623000757083768, 7.590167210413354, 9.365101750132514, 7.813174648476817, 9.581742282695316, 9.540619294314332, 11.30893296970519, 6.029263154361603, 7.796494021849825, 7.786451519252356, 9.55275049564295, 8.00934417253117, 9.773066284886484, 9.757650105900577, 11.520845289167077, 8.13654822882361, 9.894238427335427, 9.873427496080687, 11.630986467159532, 10.101388695685756, 11.794463394876646, 11.823018427904005, 10.117476482358319, 6.342248152953388, 8.055900769349837, 8.072128302329904, 9.776940139548081, 8.315164192475972, 10.019608488974065, 10.039115064869659, 11.736365941082793, 8.459876983435183, 10.16510091512818, 10.16316268380809, 11.757706884152284, 10.420326414051576, 11.476188759879662, 11.547214895750237, 9.773747561691202, 8.59368088104373, 10.30225869908943, 10.323340617163279, 11.565459054218042, 10.566187337262143, 11.285586216938654, 11.395039793678114, 9.600999806572897, 10.696919634417478, 11.217741485374638, 11.314463104363924, 9.514699290743355, 11.038890376511496, 9.232624938463228, 9.336421601742764, 7.529526870645501, 5.324557359039556, 7.11519015673046, 7.080922552092698, 8.871124527049256, 7.299968573157581, 9.087461183914433, 9.04624334672212, 10.833566547850817, 7.450618768839468, 9.225438576798245, 9.190980643493235, 10.965798388841261, 9.41211069684698, 11.18066074779727, 11.136750528866784, 10.741886750147753, 7.610517308389069, 9.376587254997293, 9.36584452292444, 11.131100239299322, 9.585293059215626, 11.347373640828863, 11.330729152981814, 10.61907240679487, 9.708967891622843, 11.466192159364937, 11.445214054990677, 10.5286360559959, 11.670455660302792, 10.226731738782277, 10.293765196351767, 8.549683999473302, 7.9467510040829294, 9.660160082089686, 9.672793853646509, 11.37702490876495, 9.915424486618363, 11.619820948793558, 11.634509185550112, 10.245983432662824, 10.06163941102536, 11.766351689360796, 11.762274533482934, 10.20143834063593, 11.69206132085749, 9.916641989456803, 9.990338408040717, 8.213744026410147, 10.165661052464866, 11.68552709937948, 11.781894087987375, 9.999791494568766, 11.51060425089831, 9.718792415565304, 9.826689904910188, 8.032505667177926, 11.448806702023685, 9.648647777236555, 9.745707435531584, 7.944895871260903, 9.465705594616452, 7.6588981156753455, 7.7626024383468275, 5.955121772226137, 5.59669165719801, 7.386747990929125, 7.262441783293781, 9.05137060204223, 7.569943514281967, 9.356506290863898, 9.231271490884426, 11.01703581583449, 7.7248738978272815, 9.499476050682027, 9.365324147559184, 11.139885160758165, 9.683819025986539, 11.451629905338912, 11.314873348555052, 10.346899569358115, 7.875240639604328, 9.642263895672942, 9.5398301553166, 11.306124954324675, 9.848356054593182, 11.612021452662994, 11.508587052277903, 10.219085316402122, 9.982518224665174, 11.740007718405723, 11.622962850007934, 10.126142238267485, 11.740501206255882, 9.990929369582439, 9.900146143915428, 8.15042632692182, 8.212359366207982, 9.925908623236012, 9.856385025016996, 11.5603139484555, 10.179860089098213, 11.713464078524249, 11.626649094000598, 9.853599621552696, 10.329549239425681, 11.691685348548273, 11.591083070135127, 9.820064916080227, 11.480542792572002, 9.707173467519656, 9.61230114214719, 7.835522201308561, 10.438612418745159, 11.46523521895516, 11.382844527608043, 9.59103970055987, 11.295884436803485, 9.501055304550007, 9.430510538088214, 7.626580308369961, 11.220265230519043, 9.414386850426371, 9.347363145567158, 7.534804054150996, 9.24156759028476, 7.428996663912666, 7.368539726556614, 5.54941046154206, 7.174120836063588, 8.964150856607029, 8.839491688367486, 10.62838374806421, 9.138935519206333, 10.925331467706599, 10.80014183908454, 10.822290004887059, 9.297782573669469, 11.072339751121632, 10.936977187837325, 10.761416581264282, 11.250003636416597, 10.636685694465083, 10.526594129712102, 8.790244364266899, 9.437917669030798, 11.203922623367959, 11.102314354989945, 10.585243664187495, 11.40271628842094, 10.461190342835948, 10.366286340352218, 8.625062780815686, 11.536126225912817, 10.379175940484917, 10.26647646383583, 8.53263371690171, 10.151100620657417, 8.401091460299948, 8.303688862972344, 6.553462121498296, 9.786258523130552, 11.499460033073339, 11.430229020274533, 10.252643646290418, 11.74632211605909, 10.154791149609856, 10.068601770287463, 8.294237720975111, 11.894189199835505, 10.123426829218126, 10.023645062440316, 8.249786016302048, 9.911475416411143, 8.135532724444968, 8.040875005724793, 6.2618883923418265, 11.657558403964137, 9.875574895648802, 9.789455215741349, 7.997641287276649, 9.703101479698525, 7.908260640857723, 7.834245607788764, 6.030183656858344, 9.629059789453903, 7.822970716818414, 7.751641891868959, 5.939035659624459, 7.64583304711418, 5.833215228716691, 5.768391221435437, 3.9492614268558457, 5.258851931012951, 7.039043501945718, 7.013966528919562, 8.793255803087762, 7.233699235771584, 9.011769587580746, 8.97839297850815, 10.75590072111166, 7.380515968993394, 9.140902787789898, 9.120360960156114, 10.880710969478157, 9.34212885724429, 11.097473246077177, 11.0661297987535, 10.7716711680044, 7.559104836294275, 9.319428976950498, 9.313050377243183, 11.071962455735504, 9.53354823267025, 11.291264877435223, 11.27724075517466, 10.680780311490203, 9.653736250285714, 11.401245016291725, 11.389338674055166, 10.587790612304142, 11.615308479797323, 10.280457642826779, 10.35330677271628, 8.60328394915997, 7.872657240754163, 9.581322729553925, 9.60089860707568, 11.29980861129806, 9.838125637223499, 11.538978951704163, 11.559524363623865, 10.293012143532628, 9.979265415480722, 11.677109353123193, 11.682250809358555, 10.247357836987502, 11.740795139413017, 9.961175025756013, 10.038395107395003, 8.257416706036443, 10.118732691351957, 11.74195588930083, 11.846607050198964, 10.057535864261885, 11.58005784740582, 9.774086045994855, 9.897749826564972, 8.089298837381184, 11.511029489903265, 9.703218696417355, 9.807732811725284, 7.99911239425545, 9.52829355644178, 7.711538483747953, 7.824942308039456, 6.0073048445158665, 6.854827650213994, 8.634828162259485, 8.608072927500103, 10.387217694975385, 8.82611649478345, 10.603870038292769, 10.568048926572256, 11.276921572284849, 8.974394429201464, 10.73475711850586, 10.71295045888013, 11.204573017644364, 10.933194792293087, 10.893267571079424, 10.963892576659548, 9.224859049382369, 9.134011418636195, 10.89240171064409, 10.88658094425635, 11.078163602170507, 11.104210611245225, 10.764595732838012, 10.857088078748678, 9.112546497953808, 11.221776807396237, 10.693941857963617, 10.749293002675863, 9.0177009550901, 10.455059646340503, 8.705822078527149, 8.778804024651887, 7.028609411249268, 9.466009921293999, 11.174648095553744, 11.19104437372386, 10.706517198841194, 11.428639062018643, 10.43228651532611, 10.526755348243451, 8.746012010403575, 11.571202527011998, 10.392365317568705, 10.465091294388904, 8.688386702169835, 10.179882763889015, 8.397999317528, 8.477232014848692, 6.6939032939298, 11.68253985330556, 10.174593558234498, 10.282953057433657, 8.4886949358953, 10.009411661077488, 8.20343815253533, 8.325491962853661, 6.517038660977574, 9.938069030579209, 8.129745520924434, 8.234253466627045, 6.425076498468967, 7.9491203167421345, 6.132212434416029, 6.245280848845875, 4.427466291310465, 7.124461996596139, 8.904584396303406, 8.78986865804576, 10.56865468690831, 9.090020201465588, 10.86787366135786, 10.750615690521501, 10.861558563857262, 9.243761350680964, 11.004146523019124, 10.884205871310142, 10.803743998292182, 11.19730480536948, 10.671075283784935, 10.568530536097628, 8.826185850061115, 9.397089334003308, 11.156777535069452, 11.061177646347378, 10.667697824512793, 11.362642569078723, 10.537217358012363, 10.455084253939278, 8.704169385790108, 11.491586711165462, 10.453394246094444, 10.34838139505175, 8.609399166060728, 10.227104080918, 8.469888401475195, 8.38230322345669, 6.624662758503653, 9.732672643881353, 11.440920513325509, 11.376697641875083, 10.30493452758801, 11.690503551064694, 10.209218085166377, 10.129543609746321, 8.345487638130326, 11.837949013548974, 10.178436432956072, 10.078542128196052, 8.299939017258708, 9.969421290430784, 8.188319831872276, 8.095615613702856, 6.309812096033847, 11.743531822287387, 9.947390415677255, 9.874301460436888, 8.065326042630778, 9.790330005497207, 7.979084380410541, 7.920315874577607, 6.096942382362363, 9.70878006148014, 7.892298784464251, 7.829014491269001, 6.003412427095141, 7.725684282795477, 5.900573157349428, 5.845906269295998, 4.011604561776899, 8.696102330415282, 10.475968024344725, 10.36104259088113, 11.26001672787459, 10.654688636735479, 11.149108378801616, 11.054856483475307, 9.314838068038705, 10.812042815718605, 11.092351612924261, 10.968419825501485, 9.24146152962571, 10.85615409464237, 9.114113634113773, 9.004087740347487, 7.26174230481113, 10.955641360949919, 10.906593526985255, 10.79353215040657, 9.066608243833258, 10.691218474157722, 8.939789337889527,

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