A continuation of n14_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 ↓66,181 lines · 1458.0 KB
3.5265458469692437,
3.42941128566214,
3.7219704272139933,
3.5304530708334587,
3.680659737074269,
3.2610823293844002,
3.378161455817875,
3.747514624533027,
4.123081535461061,
3.6020746932550782,
3.836904487368999,
3.9485182513865063,
4.098480639551578,
3.4148235718760462,
3.3797412615818154,
3.5221815598469366,
3.4174440302734226,
3.7905578044082078,
3.5998033771838003,
3.867965364974186,
3.5176433491093975,
3.5987352971774964,
3.2075236561792293,
4.121088536870854,
4.013941777511255,
3.9722644848301556,
3.716319886745725,
4.289539206743919,
3.9356612390930366,
3.752455470464496,
3.206323899486028,
4.273930445937484,
4.6255522460117575,
4.204137914022432,
4.473364929016812,
4.300764981974219,
4.371986517408297,
3.7851008229043694,
3.763576463675461,
3.8121887630591913,
4.123737002185404,
3.3532809583785284,
3.545184608780025,
3.6197665406659274,
3.6571216124081807,
2.8749447895217077,
2.6928446289239187,
4.642814198442784,
4.51698465245561,
4.567213556077955,
4.353839469930714,
4.622937223986195,
4.202983400251425,
4.104354199075063,
3.582639281772127,
4.180400187361382,
4.011478605142019,
3.7181329780848222,
3.4241535119565825,
3.933207403850687,
3.4852981747727023,
3.1829496791300675,
2.5099168416297877,
3.450156832137829,
3.684565547024693,
3.659878406675235,
3.8353601310715506,
3.8091497973373154,
3.8317504241082196,
3.4860973553781784,
3.490889865336922,
4.020215556734529,
4.24843484883659,
3.8143583631396556,
3.934166688449325,
4.197697056857194,
4.216442955270548,
3.622236546331526,
3.4672466025333053,
3.6091180170335164,
3.3897216983874636,
3.811443535750576,
3.5278023329187365,
3.9251438918905226,
3.4755114268446228,
3.601176779535967,
3.1224948797727397,
4.182947337493618,
3.952754172755073,
3.9705629094887023,
3.6243734261173373,
4.310360341382708,
3.8535867899797482,
3.734846083798738,
3.093857574938638,
4.406314280843077,
4.58512251909054,
4.277129776741821,
4.38026988435472,
4.290136803668107,
4.211867284263479,
3.7392351156983636,
3.5730962035571245,
3.912353465890355,
4.066360659793615,
3.4059851500896032,
3.4439147371488157,
3.553131371336992,
3.4291023165951904,
2.77232735695219,
2.388706219773783,
4.550726128325701,
4.282158860218528,
4.415285026121096,
4.066760437373665,
4.347540406608531,
3.8298577152575297,
3.7947454879527873,
3.177430783988964,
4.053812583960198,
3.7588519029289307,
3.5396776739604086,
3.1245274491267816,
3.5880904660439352,
3.0421983943512716,
2.792757259706833,
1.9922585499255128,
3.265242900971569,
3.6068537653862327,
3.537559121964655,
3.8010579996889735,
3.637563864036599,
3.755276955916241,
3.365890183065725,
3.451966396273027,
3.857008021403928,
4.204170496138391,
3.7051008042392355,
3.9123932616698127,
4.053430268754353,
4.1751585678270615,
3.5130888358263284,
3.4523842516847854,
3.4980920576965557,
3.374778472505464,
3.7642073354739676,
3.5570547289398085,
3.8380196043494728,
3.468057399386611,
3.5670152037861627,
3.156007915946472,
4.095210762955627,
3.972440299231978,
3.9407254195567365,
3.668946678573261,
4.257052097327749,
3.888038668356245,
3.71413573779278,
3.153133472770723,
4.376844622694982,
4.703728989690772,
4.302319656040861,
4.551168024201919,
4.389593280911341,
4.42355846291838,
3.8704016899727156,
3.809450308294597,
3.9094539400619506,
4.197742463941335,
3.4430976213627758,
3.6142898869768127,
3.7061886235268684,
3.70964568445095,
2.9574305929293,
2.7381424811852546,
4.609517430536535,
4.472042417990121,
4.530381396395608,
4.309371486990587,
4.5751628316164545,
4.1304707701122325,
4.0540343591146515,
3.502351229188268,
4.139850720523938,
3.9618317933442873,
3.6710048241648843,
3.369110186038701,
3.8813483708715792,
3.4135598016481965,
3.12742990280521,
2.429264580848259,
3.555281899260109,
3.7546062563736857,
3.761484412420332,
3.905231136045004,
3.907944526417902,
3.896091589866076,
3.582945884360557,
3.5539454826117414,
4.1239128336710165,
4.319134066070886,
3.912860922622601,
4.002525323123449,
4.2950000220869216,
4.282230563719094,
3.7144055498216093,
3.528848812882083,
3.583860729715153,
3.339711729338632,
3.783073181891479,
3.478382179380482,
3.8925495726658914,
3.4174872372524767,
3.5662770416133833,
3.0618108050356048,
4.15644538317668,
3.9033389471632294,
3.9393687497406735,
3.5726624955391504,
4.276482934050652,
3.796850518421539,
3.695650237272317,
3.031364145493624,
4.506330080915728,
4.653837557075503,
4.372832096578777,
4.449798365736077,
4.375535240797407,
4.261273783723008,
3.8224673111696137,
3.6159069171716642,
4.007074803374094,
4.13085103841095,
3.494625650883397,
3.5065718769100167,
3.6367691015694255,
3.47969933544745,
2.8530097760820268,
2.4310880822823266,
4.519188768467296,
4.230697151253258,
4.379990691537046,
4.01654777070069,
4.301519158524666,
3.756681453060983,
3.746656042208615,
3.0958754533119803,
4.015514530893875,
3.7029899045187564,
3.4961229871028605,
3.066471660764792,
3.536797497217832,
2.9696823120432083,
2.7366347044717285,
1.9098754719088835,
1.647348212464733,
2.447112942340157,
2.4753924530907927,
3.1281084588646486,
2.7982490832965583,
3.2065524949277657,
3.272063817078674,
3.6356129120255716,
2.858288377312199,
3.533021485264108,
3.332536249377481,
3.9395033720558073,
3.8914324570803442,
4.263878035477932,
3.9816432236033865,
4.281973809121591,
2.1623479631543434,
2.4930875924914853,
2.950087702775413,
3.156780669599412,
3.217834087450859,
3.1702557808482856,
3.6815425842770026,
3.59211857630409,
3.365625297242293,
3.558253265036035,
3.799941995921996,
3.9474316227654747,
4.310278386833986,
4.222453888690575,
4.380719836200503,
4.225239699258875,
3.14827127136631,
3.737668683027295,
3.733199535650564,
4.2321909663603465,
3.5615127295984115,
3.9447823899036596,
3.725025451813105,
4.007541740821303,
3.3662469128425334,
3.875028183416414,
3.5803311152360067,
4.0544830757273616,
3.6406490571207986,
4.00272843015917,
3.419655787872528,
3.670286603234115,
3.6297411458561357,
3.717426655523216,
4.1853898224709685,
4.2028623861275936,
3.968618509439632,
3.8756062705705077,
4.11464707225335,
3.9276995655916185,
3.8356269321190304,
3.8544520734415997,
4.025623565934568,
4.022478139531401,
4.038878198268253,
3.9331096500082543,
3.804239349618214,
3.589263980405715,
1.722133034748269,
2.3191410712122194,
2.384160573087688,
2.9240822530832573,
2.5248129452406873,
2.8484455458316233,
2.9392942736317194,
3.2206889301559762,
2.8123446941998607,
3.350880067042432,
3.20519959051319,
3.699884882431396,
3.599187968887999,
3.885815799244871,
3.6465322441115573,
3.8565399896284953,
2.0392109963045493,
2.1495891604285764,
2.6803841466012237,
2.751995166317675,
2.758855205791085,
2.6257253064973005,
3.166523781754262,
2.9939630334406333,
3.116002500989712,
3.164467085353494,
3.492664410164271,
3.5125263865894247,
3.82560686827211,
3.653609719516974,
3.8630160843832817,
3.617770367025281,
2.7308092729194957,
3.216679531767368,
3.2327055330643946,
3.6523274447853655,
3.0969954196638767,
3.3963553968804865,
3.2270901968488035,
3.4242393194852783,
2.9052639937743496,
3.328707386472319,
3.0688621733995656,
3.458460808773302,
3.160077586775585,
3.4439864913999285,
2.9152410798625676,
3.0769284789785694,
3.0407327830316544,
3.017189834428101,
3.522783634314282,
3.4511856381240564,
3.333643201094457,
3.1584061818191973,
3.4498269845846727,
3.1799533768187267,
3.2025472587460477,
3.1281147533038673,
3.353217117309785,
3.2573006278836543,
3.3875100359220642,
3.2046826977983303,
3.1321214692317283,
2.831958904506982,
1.7610568195196772,
2.5474415649852165,
2.586185852225074,
3.2219995033637363,
2.9014625093855164,
3.2926754839068044,
3.3747722621026517,
3.71846699795839,
2.9692793638243957,
3.62946722462062,
3.435699640931846,
4.0262154181808985,
3.9917456227298453,
4.347779460055841,
4.077191093527809,
4.360446516075733,
2.1527312245403207,
2.461815830065177,
2.9401841315698953,
3.1191946006385916,
3.2013493292171376,
3.125323275201629,
3.664948861979897,
3.543559539167104,
3.354242115305394,
3.5254644270573596,
3.782201964783275,
3.9044169102704993,
4.291638455399412,
4.176074133403005,
4.3569863610962285,
4.173460024842381,
3.2551659078671915,
3.83065606279618,
3.835463970620304,
4.319891103096997,
3.6530607976552396,
4.0196271898420175,
3.8143427640299685,
4.076806964656693,
3.4664616700803768,
3.961421940352393,
3.67199730280275,
4.132781215667276,
3.726354116816215,
4.071349276779793,
3.4993897983683393,
3.7319928647442544,
3.6140491991545574,
3.6826463452649287,
4.167547894736911,
4.162684904550716,
3.9431445364794904,
3.823473096320364,
4.087772049848544,
3.8698757049742802,
3.8146342358789553,
3.8131646968870694,
3.9976860011885886,
3.9730338012062436,
4.008891975742538,
3.8750529359635655,
3.7679703388308643,
3.52405639744838,
1.8299279321969144,
2.412448719673556,
2.4882370377083562,
3.0098787885168816,
2.620254655152337,
2.9272261042465377,
3.0325428158774317,
3.2976597696634533,
2.917906264690347,
3.441272300230487,
3.3012777884225724,
3.7787692207500134,
3.6917715202215993,
3.9633194905530686,
3.7331435345304214,
3.929759747609377,
2.0246457512527085,
2.107739319391735,
2.6644624823359235,
2.7026266447468252,
2.734846840173505,
2.5698932486367356,
3.140849221836494,
2.936029737242152,
3.099701027998807,
3.1212423510559404,
3.468536402073575,
3.457386115462362,
3.79968356133492,
3.597320134556787,
3.8307465930715408,
3.5571313055147766,
2.8355270345356964,
3.3051857248309746,
3.330171813696836,
3.7339267904421933,
3.1847364475599065,
3.4678716921514376,
3.311606016551656,
3.493113327630323,
3.003317749749817,
3.4119547677735085,
3.156873013277184,
3.53150587698216,
3.2429559315389236,
3.5117390568177034,
2.9915656629966096,
3.139807378732457,
3.0231733257866322,
2.9728128270137226,
3.500278656047054,
3.3996656288056366,
3.3034820059326035,
3.097402637918805,
3.417083082781885,
3.1160550733400396,
3.179431482254455,
3.078307017036115,
3.3214360773991425,
3.197133772323311,
3.3534679149991806,
3.139755572280765,
3.0910398969756034,
2.7617666821101197,
2.4339078538340067,
3.003628761559609,
3.0061225644529688,
3.522224880289675,
3.185001916400153,
3.336782796246302,
3.4009398632889254,
3.518931354037775,
3.59851320952344,
4.130432042374837,
3.788768576762099,
4.263214462446672,
4.204010622141038,
4.364352378190922,
4.077112232100053,
4.108335782142317,
2.76146685869118,
2.793209470767235,
3.27839888880608,
3.297259447975299,
3.3829428947615643,
3.0620179138428583,
3.590634903980931,
3.2287205601416384,
3.894727357669317,
3.908219256628417,
4.063694963262251,
4.034976318334386,
4.408957348015566,
4.089782094740885,
4.271716024314774,
3.823088447429056,
3.8581929256171064,
4.288010794238912,
4.160368405239728,
4.54156504961849,
3.8891793851566865,
4.0378477630064,
3.740160696928547,
3.7481408309783033,
4.020075254237156,
4.425391125692199,
3.9810506620184736,
4.327089652662843,
3.915258549306313,
4.084042324809571,
3.450962924701563,
3.4128889079085463,
4.1447386196360805,
4.01796729451091,
4.410364222704214,
4.257291247669864,
4.090331598256734,
3.750689017548736,
3.9252707318098174,
3.4454786730804052,
4.2905568629160085,
4.152199081089998,
4.233567663683987,
4.047853122693992,
4.115639029750936,
3.79439746522326,
3.6386862660652115,
3.1136939376106083,
2.4567571965500523,
2.8089267293169455,
2.884653783131305,
3.250998852385152,
2.8675763559492657,
2.911274989743322,
3.0369699649324735,
3.0392707911695296,
3.506068138598256,
3.868208955503243,
3.6266473867335196,
3.9533380313894417,
3.863163061338304,
3.9119363799643256,
3.702801117621683,
3.5994213502893198,
2.6023232731229378,
2.4361911095486137,
3.0082412624232395,
2.875056540717194,
2.919152186875426,
2.5048015064279534,
3.0809905288720523,
2.6202695189150824,
3.644438376652887,
3.4964676785514808,
3.752405969124977,
3.5767042181160122,
3.9203048895367267,
3.506331654072657,
3.74859603225715,
3.1840516207142655,
3.3975459604726503,
3.6978750236603597,
3.619383274845254,
3.883858654731285,
3.3844431147163765,
3.4315080677480534,
3.2175705727139667,
3.1022475299846004,
3.519837363626282,
3.8065963283279824,
3.417353156107689,
3.642038767444831,
3.395469014859283,
3.465858438442523,
2.9119681577908647,
2.7446868411225758,
3.5437407010794644,
3.3078599951423966,
3.7432278306350817,
3.4857023463490315,
3.450195443039032,
3.025391915062934,
3.268317125367604,
2.683807862104006,
3.656135048697757,
3.4154749234232553,
3.541649487811007,
3.247188959191864,
3.4600076849902006,
3.0562766399183134,
2.9627454349171236,
2.328444966182638,
2.5428530871357724,
3.087508046073723,
3.1121939513983627,
3.6040131667674506,
3.286091143232329,
3.4098299303859214,
3.5023278763557393,
3.587703430029108,
3.703657476311813,
4.212333131359131,
3.889140850074538,
4.340485211397168,
4.302331924052451,
4.435824309304486,
4.1720397230348505,
4.1747776388558595,
2.7422517913793065,
2.7515097960119075,
3.26001760710374,
3.252755561432288,
3.3559135847597066,
3.0078171304069627,
3.5637841428169184,
3.1703513166812147,
3.8738049688649117,
3.8654621586884,
4.039527461793263,
3.9865184578131516,
4.379684838260004,
4.0344819477385805,
4.238527824160122,
3.7625532888619255,
3.9606547754679426,
4.366072040920867,
4.259149343416562,
4.617492757943522,
3.9784062350720166,
4.099330007248739,
3.8282524379764644,
3.7973917782667983,
4.11510463873644,
4.497555356962833,
4.069586278920758,
4.394795740847537,
3.9986053479347676,
4.138839669637738,
3.5296136863356145,
3.4564754907274944,
4.119438681960176,
3.973570946676796,
4.3849680573916565,
4.2104664690955165,
4.054047109551629,
3.6878806329750446,
3.88822514345266,
3.3702332235916783,
4.259678373997881,
4.10214100395512,
4.198214338340788,
3.9929727335770027,
4.07437943053802,
3.7253995966252447,
3.592453267046796,
3.0328776663288917,
2.5562233682183164,
2.878141744490864,
2.9822339942730447,
3.3163379540071456,
2.9597309009685335,
2.9716440176158425,
3.1280711068165914,
3.0961063860263116,
3.6027899057097925,
3.9356666642457423,
3.7190414360496438,
4.015646141645331,
3.9527736711438877,
3.971432953977489,
3.7883146650179556,
3.6543690708523733,
2.574999162959849,
2.378846361172437,
2.981706029265725,
2.81314187942683,
2.8839282799861063,
2.4365263901501475,
3.0446647309780155,
2.5489885358563473,
3.615892210547312,
3.4375361327318963,
3.7205165645445772,
3.5110324922559046,
3.8832259620073613,
3.4375268232078984,
3.7066831441274983,
3.111140868610672,
3.495416014548687,
3.764048103135859,
3.713064152791821,
3.9464200831731984,
3.469677081782187,
3.4851486498976354,
3.30072486305741,
3.146295788939158,
3.611089479698102,
3.867895007126091,
3.502593774865444,
3.6987644623456255,
3.4758697822321905,
3.5150570984033864,
2.9871632841836244,
2.784869604696343,
3.514536467711066,
3.248222416914302,
3.712472641701946,
3.421514000039303,
3.4092598890936543,
2.950985367778775,
3.22539298073852,
2.6003657536097924,
3.6217857900902435,
3.3510228334309167,
3.502473063615875,
3.1766742785512196,
3.415032780271283,
2.977551782789176,
2.9118217720512938,
2.240791778805036,
2.379494596373177,
2.9403607256343474,
3.091862243124501,
3.5703189629310526,
3.2057867105616067,
3.5270144991030383,
3.542630003194682,
3.8176576751054894,
3.234004731255647,
3.7663955381467926,
3.6227592597058016,
4.088564563195625,
4.055202807582842,
4.339667660620281,
4.010146278218321,
4.224089970041422,
2.8512070739948845,
2.9413001347050436,
3.5359056091988164,
3.559013166341536,
3.628539950400428,
3.43835075014353,
3.95548722852918,
3.718244228393946,
3.7032726818650983,
3.7690949584754434,
4.059547384844441,
4.074737113236875,
4.471605272721889,
4.245983605320045,
4.41238296959826,
4.114008129962613,
3.528754503649731,
4.063311168107469,
3.873313682079969,
4.351283874483948,
3.9481022622108135,
4.2032801294172355,
3.976373019940277,
4.145571569439204,
3.344179055097696,
3.8294150481799383,
3.3472761007688474,
3.800374920542561,
3.640464346518761,
3.8572884105578322,
3.3038115432379875,
3.444435969243362,
3.9806276879580165,
4.053406171682381,
4.303314602937494,
4.331205807792271,
4.3296520557135185,
4.0786764696466635,
4.344655667031887,
4.004299618021872,
3.7910602588976072,
3.8207019143152996,
3.776225235253895,
3.7842194024401383,
4.009747704908511,
3.7297751988293277,
3.6622227109465113,
3.2973314986745526,
2.164603022521592,
2.6241378033516938,
2.7959125534945484,
3.198993056933603,
2.918546379851313,
3.1511250717659696,
3.1904648883970665,
3.3791463282026597,
2.9849567527434546,
3.418752964987931,
3.3085714856904875,
3.6968195672632786,
3.730431607346779,
3.928521282205687,
3.6539858187599075,
3.7753103852013776,
2.4351675989027948,
2.427145303867668,
3.0510583157398807,
2.9965899643093863,
3.1460544435770044,
2.86832894608028,
3.4101781014365233,
3.086645237347591,
3.2489037431141297,
3.219331510280841,
3.555390868626004,
3.490629801946681,
3.944167792282624,
3.6353666922771417,
3.8614663331064714,
3.4717323274764254,
3.0772468794629413,
3.5136474301480742,
3.3759982237012887,
3.769378753295909,
3.3962497415947235,
3.5398068671928637,
3.397551098103743,
3.449738460683731,
2.881715977944225,
3.282597763709382,
2.8554966706552314,
3.2256474242846345,
3.0789603482888257,
3.1823778390422612,
2.6923876913663065,
2.684207961845977,
3.348128466560004,
3.32229710777683,
3.6291898802994345,
3.5711492651636307,
3.576786275366688,
3.234805313101292,
3.5697750982563052,
3.1340674197155947,
3.148552017825938,
3.0919479907544316,
3.1060352169721637,
3.030404392910105,
3.2453390604246612,
2.8751376873382326,
2.8436794693484733,
2.361359928195813,
2.4909961969028434,
3.0363277055798927,
3.20044753961949,
3.6601751033723584,
3.3074899595943776,
3.6071474438883984,
3.644283424200321,
3.8958330903268674,
3.343233993800937,
3.8609823640136143,
3.7238969960677375,
4.1727604510845975,
4.153921029876567,
4.417848770697847,
4.103104811037761,
4.298811956652833,
2.8375707343656495,
2.9093384048261117,
3.521572879916941,
3.5210847777516827,
3.6101064774725407,
3.392330366223238,
3.937642207761684,
3.669832496674772,
3.6879866932081824,
3.7358944534655647,
4.037166095551731,
4.031095864032277,
4.450822166100521,
4.198346020980388,
4.386145333751374,
4.062590486311636,
3.632544057728441,
4.1560269492830795,
3.9725915082169045,
4.438829205956983,
4.032540910897621,
4.263161033761072,
4.058709177764101,
4.201949318649076,
3.4432581845849572,
3.915451864891853,
3.437212534620351,
3.878644061409079,
3.7233310064071565,
3.9148613048928125,
3.382406950515217,
3.500466293527195,
3.9612878897161634,
4.018371893992633,
4.280844426476502,
4.291279634793396,
4.2972048522065664,
4.016573090272599,
4.310962472123089,
3.9384923183569702,
3.767302539239206,
3.778719825762621,
3.7442588750840535,
3.7349092813004052,
3.976349523101121,
3.6654854835170614,
3.624687935569874,
3.230917732666234,
2.271367590059754,
2.712115988353929,
2.8972945266316623,
3.280103662526835,
3.012477882558621,
3.2248727934932298,
3.2827217683385577,
3.451230298072476,
3.0897258975136714,
3.5059163304839585,
3.4032254759675906,
3.773022789599535,
3.8215130688240406,
4.000999659714273,
3.7381482911490242,
3.843761433099016,
2.4163683876824114,
2.382635112254225,
3.0290320276397025,
2.9454342666421756,
3.1197541683613395,
2.812838638683072,
3.3829692652032044,
3.0292424635567716,
3.2283632512792257,
3.173944529400599,
3.525801533527426,
3.4339695443897904,
3.9155023777032913,
3.5789855912530477,
3.8263506149777546,
3.410972820214469,
3.181185510748187,
3.5990942540947994,
3.472842855487004,
3.850098167427171,
3.478749951210246,
3.5998963828356154,
3.477533346287551,
3.5080521776363085,
2.9803866378685715,
3.3628717911464054,
2.9439240946754666,
3.2979378668511763,
3.160092907762826,
3.241573387835207,
2.7702842342164677,
2.741041584570201,
3.3269164574357024,
3.2750338835866764,
3.6021620680575164,
3.51889748115602,
3.5375347097984835,
3.1660961394670584,
3.5288922054925136,
3.063690058332523,
3.122616848768508,
3.039208104354727,
3.0703008144439234,
2.9694823448211687,
3.2048048913668055,
2.8055778848136192,
2.7995963274172038,
2.289601544655762,
3.038061976310169,
3.3657352907256115,
3.501895366665054,
3.7891372553667346,
3.441448055945181,
3.6066529011023807,
3.427750999904964,
3.538054288105197,
3.9170361786010925,
4.2379031368978834,
4.008811796479963,
4.272401998037337,
4.238743191167788,
4.399988911319831,
3.90407520421493,
3.8921958509699754,
3.2844514680139083,
3.1237780914978552,
3.725332727452054,
3.527064658535125,
3.6492069195847794,
3.3050993758671634,
3.6257903558203166,
3.2260045270572975,
4.1609998122832215,
3.994077900730049,
4.242159044470517,
4.020932195228857,
4.4455606861948755,
4.09839688290813,
4.101823923004193,
3.580599943580521,
4.121348758009468,
4.433884618757004,
4.2415825020669065,
4.513477380769549,
4.117683771733727,
4.1987322619171605,
3.8401564158022357,
3.78103345116559,
3.917705570420582,
4.193769112852227,
3.709513013120527,
3.932319295355472,
3.7698848295727942,
3.822230306257346,
3.2258463841352008,
3.0587674046562574,
4.357057713057888,
4.174258416844554,
4.461363770782077,
4.239528996933084,
4.291483113261373,
3.8731274033688674,
4.00504908345788,
3.4427781092275573,
4.147927472005028,
3.9310060416441495,
3.932930998020419,
3.6663993691771495,
3.9267239383444004,
3.488440368134834,
3.371128577244816,
2.7110244311724636,
2.7673568642173034,
2.988284107648854,
3.1761002666456704,
3.3661920467487905,
3.0939021471300068,
3.1484896727726532,
3.047731895323173,
3.037657284482134,
3.6114166241334966,
3.821670018618902,
3.6612616198833066,
3.822480521650254,
3.8647011828815074,
3.9108862168627168,
3.511235086993573,
3.3581254438134165,
2.864514709283303,
2.6114578897379723,
3.257334694873781,
2.9743450503720856,
3.1511226803036534,
2.712314425669554,
3.0957400374174813,
2.5924579678015176,
3.706584788996565,
3.444746781055505,
3.7464294461469536,
3.435757421748818,
3.915741533814706,
3.471864116579847,
3.553643479072822,
2.9098965777423373,
3.639328900706671,
3.8221253191667133,
3.723960779240343,
3.8625667887667783,
3.5098244830591527,
3.4426617032320443,
3.219906678123358,
2.991075924714619,
3.425185275858335,
3.5779171302401482,
3.1838638597080724,
3.2762409308685765,
3.1427358354553148,
3.0271748755632073,
2.573816223953994,
2.171958045724098,
3.7365545649641856,
3.447763946915653,
3.8053502974553,
3.4749909178764415,
3.522891259855689,
2.9991382037421412,
3.2246651120512038,
2.537702714935592,
3.517699517754762,
3.201845900087455,
3.2660780235173177,
2.8942230209142092,
3.1340172443830006,
2.5821600282943225,
2.5424807828598652,
1.7182190411171876,
3.1461272871267365,
3.4467633386299132,
3.607585688163825,
3.8666822028775263,
3.5413982084048525,
3.678048233787544,
3.52810524844552,
3.6063151252479857,
4.021736155614276,
4.317027378668882,
4.107987717129824,
4.346021679467636,
4.335677250369789,
4.470501996602906,
3.9964708841644514,
3.9583082158697804,
3.260711195293017,
3.0819039053422292,
3.70193632761795,
3.4821742677173084,
3.620276012677476,
3.2513692592548935,
3.5975180365949297,
3.168595160168328,
4.135254156416988,
3.9511072928147457,
4.212007017666734,
3.971747323383701,
4.414112537944741,
4.043935304133951,
4.065845207625774,
3.521191859425997,
4.220774489169197,
4.511688211943971,
4.338166822242954,
4.5890373590523765,
4.200102047453056,
4.249816722941785,
3.921619979138542,
3.8219493234696973,
4.012428953508366,
4.264909280039077,
3.7970242411504938,
3.9987360728761874,
3.8507535292739625,
3.8714487636611965,
3.303600927636106,
3.0973092393975357,
4.326865182122026,
4.129803367978564,
4.43011413512713,
4.19286912132865,
4.248723163194633,
3.8035931262923257,
3.961798882530945,
3.3621908126149065,
4.112520242803241,
3.8788168547110993,
3.8916214157389777,
3.609301362430549,
3.8817833531812904,
3.416830024056448,
3.3228347059736025,
2.628386322669418,
2.8682456885021663,
3.0560729241562705,
3.2735034998941526,
3.4294495509165404,
3.185424273335033,
3.207950711803203,
3.1382605476495335,
3.0937033890770573,
3.7093935390771264,
3.888076315175867,
3.7532411649572848,
3.8828165872276448,
3.953463214938483,
3.9699449445555866,
3.5948286959410485,
3.4122051487544787,
2.833439311122345,
2.5533444026824648,
3.224996821234849,
2.9119940893525227,
3.1136579468453363,
2.645349646274406,
3.0578077425331216,
2.522131054147101,
3.6734677714436144,
3.385603865868853,
3.70809632338433,
3.369155020937537,
3.8760603925197072,
3.4046723369145786,
3.508881919364841,
2.837856922829297,
3.7374640559096184,
3.887057724566906,
3.8177398156967475,
3.9249620826591443,
3.591073042993863,
3.4915078943604327,
3.299561290031508,
3.031296500837594,
3.5183073149473327,
3.6362529951293387,
3.2697070795174286,
3.330174116647301,
3.222387819150305,
3.074778426577471,
2.6511649062676472,
2.2100055919115684,
3.7027292037733495,
3.386695008742021,
3.7683849238506704,
3.410516450615198,
3.473369902338476,
2.921544342449395,
3.174189151139328,
2.4520025038466287,
3.4785522476342785,
3.133535940494893,
3.220242811905426,
2.820090426409907,
3.0808173277005952,
2.503112856716115,
2.485493074883804,
1.6305147177190444,
2.677437487750727,
3.423306110464911,
3.329502095013748,
3.920531450693119,
3.7748041026392554,
4.094307092601628,
3.9698307343195403,
4.263225156356407,
3.5541785615694255,
4.195106513081933,
3.7933365924689273,
4.325740758139029,
4.48843915913888,
4.789451103580506,
4.3021150883676516,
4.529136419053326,
3.1525995131261126,
3.4188625402383,
3.760006704192,
3.8903570411265846,
4.1278489257968465,
3.992963445189944,
4.329800341094098,
4.156964198932575,
4.004990335347898,
4.1537599930556555,
4.217843200704024,
4.272779059961951,
4.851254168744496,
4.679653942112104,
4.656902771142697,
4.407922259893283,
4.152201253826657,
4.695432187393273,
4.573900305914989,
5.004025914220768,
4.527230170465138,
4.816712271353482,
4.393610780183196,
4.600626399254765,
4.014984401667552,
4.487802488182197,
3.983304888812052,
4.387923528685102,
4.194995182744384,
4.485066576603285,
3.711116972822185,
3.890792009271829,
4.593597771017551,
4.630509046775211,
4.98443514530878,
4.920134911815201,
4.870599473809284,
4.685225548314052,
4.737197657540612,
4.459072484368125,
4.4381202844959375,
4.409332310878924,
4.385977617398808,
4.296472709058482,
4.546644185091201,
4.357893010229622,
4.053062457887197,
3.746844009877802,
2.6494669500439114,
3.156451784772027,
3.108393353762503,
3.5454186992781147,
3.351958827784024,
3.5593351210825683,
3.4990967301343745,
3.6916007233012023,
3.346678891662915,
3.8311822381440077,
3.540451508351998,
3.9250054965636796,
4.050136591748172,
4.240420713573079,
3.8289129803008715,
3.948173699834032,
2.9376175301002214,
2.962201674331477,
3.3814352138478156,
3.345626628861417,
3.546193225221166,
3.3023365959815374,
3.7020376803657493,
3.431004934327745,
3.6291220362509176,
3.6193245000802285,
3.804867825092563,
3.7070349312666426,
4.251500713827492,
3.9740646600985086,
4.024881824371107,
3.6725946617756753,
3.6188330241904545,
4.030927342547911,
3.9475285934036175,
4.27079619897745,
3.9108493485745934,
4.097408149084069,
3.7466031291939883,
3.855214334256112,
3.415181787218345,
3.7743868286653868,
3.345919180981026,
3.6387127741683907,
3.564237230443646,
3.7550295339262467,
3.0580216433544725,
3.134374846513921,
3.905349971639142,
3.8123502907472457,
4.2169068794204785,
4.044405780226067,
4.112612189174365,
3.8280923771235,
3.949504408763416,
3.5783876016668907,
3.6925389962297723,
3.5505920052053326,
3.6081282010584736,
3.4074292523732326,
3.7719471615749685,
3.488846979619042,
3.256525472948815,
2.8550647779150777,
2.787904630733233,
3.5159039369601564,
3.4351489321148385,
4.008400742970398,
3.872662122923254,
4.172595771418771,
4.066293303130756,
4.339765436465617,
3.6623644028170386,
4.284514564091744,
3.8928816271276867,
4.407733711784295,
4.584110978252018,
4.86638959694701,
4.3931080297033125,
4.602704699986327,
3.1385649891965297,
3.3797144333130973,
3.743251590389817,
3.8467972529204415,
4.106869140981747,
3.941823087802428,
4.306886286467362,
4.103437036339403,
3.9892794748149827,
4.113821068469204,
4.195134057431188,
4.225243085261703,
4.828368053951715,
4.628407782194345,
4.628793536029219,
4.352560043183157,
4.25525189339025,
4.780701016454999,
4.6706413557096536,
5.085351474710976,
4.613290978930112,
4.883339371604905,
4.476911161459206,
4.663181308933626,
4.111030039590849,
4.567267707250167,
4.071067251258697,
4.461152397267161,
4.27590844167417,
4.546488400581083,
3.786916769620676,
3.947370778680772,
4.572868871195652,
4.587831273471137,
4.959567047015437,
4.873979616097595,
4.841078268907779,
4.626582719958118,
4.704499361998491,
4.396057146701256,
4.411668304836524,
4.361002898284211,
4.352914289143708,
4.24250191867538,
4.512192177379388,
4.294210789085698,
4.01303826165403,
3.677714116095681,
2.7512601341202414,
3.2374420670769686,
3.2044225718586814,
3.619278572408956,
3.4404102988386622,
3.6257592124754576,
3.5844186720442304,
3.7570133716735032,
3.446447167811878,
3.90905988666427,
3.6296429920224083,
3.993543782293952,
4.136334183341667,
4.305686118048021,
3.9085853803026174,
4.0113739429125035,
2.91597485882557,
2.907629922492663,
3.35591077586459,
3.284261600084605,
3.516145470445597,
3.2348174178399782,
3.66838929849896,
3.3618485812218357,
3.6058938720017197,
3.563476333120858,
3.7727244569254914,
3.6417347388216523,
4.219640309355275,