GET /api/crires_2905nm_2990nm_starstar_bov___60bc/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        2.9057764354103965,
        2.9057887198791006,
        2.9058010043478046,
        2.905813288816509,
        2.905825573285213,
        2.9058378577539177,
        2.9058501422226217,
        2.905862426691326,
        2.90587471116003,
        2.9058869956287348,
        2.905899280097439,
        2.9059115645661433,
        2.9059238490348474,
        2.905936133503552,
        2.905948417972256,
        2.9060466937218896,
        2.906058978190594,
        2.906071262659298,
        2.9060835471280027,
        2.9060958315967067,
        2.906108116065411,
        2.9061204005341157,
        2.9061326850028197,
        2.906144969471524,
        2.9061572539402283,
        2.9061695384089323,
        2.9062432452211575,
        2.9062555296898624,
        2.9062678141585665,
        2.906280098627271,
        2.906292383095975,
        2.906304667564679,
        2.906316952033383,
        2.9063292365020876,
        2.9063415209707917,
        2.906353805439496,
        2.9063660899082007,
        2.906378374376905,
        2.9063906588456088,
        2.906832899718962,
        2.907275140592315,
        2.907287425061019,
        2.9072997095297235,
        2.9073488474045406,
        2.9073611318732446,
        2.907373416341949,
        2.907385700810653,
        2.9073979852793577,
        2.9074102697480617,
        2.907422554216766,
        2.90743483868547,
        2.907508545497696,
        2.9075208299664,
        2.907533114435104,
        2.9075453989038085,
        2.9075576833725125,
        2.907569967841217,
        2.907582252309921,
        2.907594536778626,
        2.9076068212473296,
        2.907619105716034,
        2.907631390184738,
        2.9076436746534426,
        2.9076559591221467,
        2.907668243590851,
        2.9076805280595552,
        2.9076928125282593,
        2.9077050969969633,
        2.9077173814656683,
        2.9077296659343723,
        2.907741950403077,
        2.907754234871781,
        2.9077665193404854,
        2.907778803809189,
        2.9077910882778935,
        2.9078033727465975,
        2.907815657215302,
        2.907827941684006,
        2.907840226152711,
        2.907852510621415,
        2.907864795090119,
        2.907877079558823,
        2.9078893640275276,
        2.9079016484962317,
        2.907913932964936,
        2.90792621743364,
        2.9079385019023447,
        2.9079507863710483,
        2.9079630708397533,
        2.9079753553084573,
        2.907987639777162,
        2.907999924245866,
        2.9080122087145703,
        2.9080244931832744,
        2.9080367776519784,
        2.9080490621206825,
        2.908061346589387,
        2.908073631058091,
        2.908085915526796,
        2.9080981999955,
        2.9081104844642045,
        2.908122768932908,
        2.9081350534016126,
        2.9081473378703167,
        2.908159622339021,
        2.908171906807725,
        2.9081841912764297,
        2.908196475745134,
        2.9082087602138382,
        2.9082210446825423,
        2.9082333291512468,
        2.908245613619951,
        2.9083561738382895,
        2.9084728762909795,
        2.908810699180347,
        2.9088229836490505,
        2.908835268117755,
        2.908847552586459,
        2.9088598370551635,
        2.9088721215238675,
        2.908884405992572,
        2.908896690461276,
        2.90890897492998,
        2.908921259398684,
        2.908933543867389,
        2.908945828336093,
        2.9089581128047977,
        2.9089703972735017,
        2.908982681742206,
        2.909056388554432,
        2.909068673023136,
        2.90908095749184,
        2.909093241960544,
        2.9091055264292485,
        2.9091178108979525,
        2.909130095366657,
        2.909142379835361,
        2.9091546643040656,
        2.909166948772769,
        2.909179233241474,
        2.909191517710178,
        2.9092038021788826,
        2.9092160866475867,
        2.909375784740742,
        2.909388069209446,
        2.9094003536781505,
        2.9094126381468546,
        2.909424922615559,
        2.909437207084263,
        2.9094494915529676,
        2.9094617760216717,
        2.909474060490376,
        2.90948634495908,
        2.9094986294277847,
        2.9095109138964883,
        2.909523198365193,
        2.909535482833897,
        2.909547767302602,
        2.909560051771306,
        2.9095723362400103,
        2.9095846207087144,
        2.9095969051774184,
        2.9096091896461225,
        2.909621474114827,
        2.909633758583531,
        2.9096460430522355,
        2.9096583275209396,
        2.9096706119896445,
        2.909682896458348,
        2.9096951809270526,
        2.9097074653957566,
        2.909719749864461,
        2.909732034333165,
        2.9097443188018697,
        2.9097566032705737,
        2.9097688877392778,
        2.909781172207982,
        2.9097934566766868,
        2.909805741145391,
        2.9098180256140953,
        2.9098303100827994,
        2.909842594551504,
        2.9098548790202075,
        2.909867163488912,
        2.909879447957616,
        2.9098917324263205,
        2.9099040168950245,
        2.9099163013637295,
        2.9099285858324335,
        2.9099408703011376,
        2.9099531547698416,
        2.909965439238546,
        2.90997772370725,
        2.9099900081759547,
        2.9100022926446587,
        2.910014577113363,
        2.910026861582067,
        2.9100391460507717,
        2.910051430519476,
        2.9100637149881803,
        2.9100759994568843,
        2.910186559675223,
        2.9101988441439266,
        2.910211128612631,
        2.910223413081335,
        2.9102356975500396,
        2.9103094043622653,
        2.9103216888309693,
        2.910333973299674,
        2.910346257768378,
        2.9103585422370823,
        2.910370826705786,
        2.9103831111744904,
        2.9103953956431945,
        2.9104076801118994,
        2.9104199645806035,
        2.910432249049308,
        2.910444533518012,
        2.910456817986716,
        2.91046910245542,
        2.9104813869241246,
        2.9105673782050543,
        2.910579662673759,
        2.910591947142463,
        2.9106042316111673,
        2.9106165160798714,
        2.910628800548576,
        2.91064108501728,
        2.9106533694859844,
        2.9106656539546885,
        2.910677938423393,
        2.910690222892097,
        2.9107025073608015,
        2.9107147918295055,
        2.9107270762982096,
        2.9107393607669136,
        2.910751645235618,
        2.9107639297043226,
        2.910776214173027,
        2.910788498641731,
        2.9108007831104357,
        2.9108130675791393,
        2.9108253520478438,
        2.910837636516548,
        2.9108499209852523,
        2.9108622054539564,
        2.910874489922661,
        2.9108867743913653,
        2.9108990588600694,
        2.9109113433287734,
        2.910923627797478,
        2.910935912266182,
        2.9109481967348865,
        2.9109604812035905,
        2.910972765672295,
        2.9109850501409986,
        2.910997334609703,
        2.9110096190784076,
        2.911021903547112,
        2.911034188015816,
        2.9110464724845206,
        2.9110587569532247,
        2.9110710414219287,
        2.911083325890633,
        2.9110956103593373,
        2.9111078948280413,
        2.911120179296746,
        2.9111324637654503,
        2.911144748234155,
        2.9111570327028584,
        2.911169317171563,
        2.911181601640267,
        2.9111938861089715,
        2.9112061705776755,
        2.91121845504638,
        2.911230739515084,
        2.9112430239837876,
        2.9112553084524926,
        2.9112675929211966,
        2.911279877389901,
        2.911292161858605,
        2.9113044463273097,
        2.9113167307960137,
        2.9113290152647178,
        2.911341299733422,
        2.9113535842021263,
        2.9113658686708304,
        2.9113781531395353,
        2.9113904376082393,
        2.911402722076944,
        2.9114150065456474,
        2.911427291014352,
        2.911439575483056,
        2.9114518599517605,
        2.9114641444204645,
        2.911476428889169,
        2.911488713357873,
        2.9115009978265776,
        2.9115132822952816,
        2.911525566763986,
        2.91153785123269,
        2.9115501357013946,
        2.9115624201700987,
        2.911574704638803,
        2.911586989107507,
        2.9115992735762113,
        2.9116115580449153,
        2.9116238425136203,
        2.9116361269823243,
        2.911648411451029,
        2.911660695919733,
        2.911672980388437,
        2.911685264857141,
        2.9116975493258455,
        2.9117098337945495,
        2.911722118263254,
        2.911734402731958,
        2.911746687200663,
        2.9117589716693666,
        2.911771256138071,
        2.911783540606775,
        2.9117958250754796,
        2.9118081095441837,
        2.911820394012888,
        2.911832678481592,
        2.9118449629502963,
        2.9118572474190003,
        2.9118695318877053,
        2.9118818163564093,
        2.911894100825114,
        2.911906385293818,
        2.9119186697625223,
        2.911930954231226,
        2.9119432386999304,
        2.9119555231686345,
        2.911967807637339,
        2.911980092106043,
        2.911992376574748,
        2.912004661043452,
        2.912016945512156,
        2.91202922998086,
        2.9120415144495646,
        2.9120537989182687,
        2.912066083386973,
        2.912078367855677,
        2.9120906523243817,
        2.9121029367930853,
        2.9121152212617902,
        2.9121275057304943,
        2.9121397901991988,
        2.912152074667903,
        2.9121643591366073,
        2.9121766436053114,
        2.9121889280740154,
        2.9122012125427195,
        2.912213497011424,
        2.912225781480128,
        2.912238065948833,
        2.912250350417537,
        2.9122626348862415,
        2.912274919354945,
        2.9122872038236496,
        2.9122994882923536,
        2.912311772761058,
        2.912324057229762,
        2.9123363416984667,
        2.912348626167171,
        2.912360910635875,
        2.9123731951045793,
        2.9123854795732838,
        2.912397764041988,
        2.9124100485106923,
        2.9124223329793963,
        2.912434617448101,
        2.912446901916805,
        2.912459186385509,
        2.912471470854213,
        2.912483755322918,
        2.912496039791622,
        2.9125083242603265,
        2.9125206087290305,
        2.912532893197735,
        2.9125451776664386,
        2.912557462135143,
        2.912569746603847,
        2.9125820310725516,
        2.912594315541256,
        2.9126066000099606,
        2.9126188844786647,
        2.9126311689473687,
        2.912643453416073,
        2.9126557378847773,
        2.9126680223534813,
        2.912680306822186,
        2.91269259129089,
        2.9127048757595944,
        2.9127171602282984,
        2.912729444697003,
        2.912741729165707,
        2.9127540136344114,
        2.9127662981031155,
        2.91277858257182,
        2.912790867040524,
        2.912803151509228,
        2.912815435977932,
        2.9128277204466366,
        2.912840004915341,
        2.9128522893840456,
        2.9128645738527497,
        2.912876858321454,
        2.9128891427901578,
        2.9129014272588623,
        2.9129137117275663,
        2.912925996196271,
        2.912938280664975,
        2.9129505651336793,
        2.912962849602384,
        2.912975134071088,
        2.9132023967421166,
        2.9134787972879623,
        2.9134910817566664,
        2.9135033662253704,
        2.913515650694075,
        2.913527935162779,
        2.9135402196314835,
        2.9135525041001875,
        2.913564788568892,
        2.913577073037596,
        2.9135893575063005,
        2.9136016419750046,
        2.913613926443709,
        2.913626210912413,
        2.913638495381117,
        2.9136507798498217,
        2.9136630643185253,
        2.91367534878723,
        2.913687633255934,
        2.9136999177246388,
        2.913712202193343,
        2.9137244866620473,
        2.9137367711307514,
        2.9137490555994554,
        2.9137613400681595,
        2.913773624536864,
        2.913785909005568,
        2.9137981934742725,
        2.9138104779429765,
        2.9138227624116815,
        2.913835046880385,
        2.9138473313490896,
        2.9138596158177936,
        2.913871900286498,
        2.913884184755202,
        2.9138964692239067,
        2.9139087536926107,
        2.9139210381613148,
        2.913933322630019,
        2.9139456070987237,
        2.913957891567428,
        2.9139701760361323,
        2.9139824605048363,
        2.913994744973541,
        2.9140070294422444,
        2.914019313910949,
        2.914031598379653,
        2.9140438828483575,
        2.9140561673170615,
        2.9140684517857665,
        2.9140807362544705,
        2.9140930207231746,
        2.9141053051918786,
        2.914117589660583,
        2.914129874129287,
        2.9141421585979916,
        2.9141544430666957,
        2.9141667275354,
        2.914179012004104,
        2.9141912964728087,
        2.9142035809415128,
        2.9142158654102173,
        2.9142281498789213,
        2.914240434347626,
        2.91425271881633,
        2.914265003285034,
        2.914277287753738,
        2.9142895722224424,
        2.9146765329866264,
        2.9151372005630356,
        2.91514948503174,
        2.9151617695004446,
        2.915174053969149,
        2.915186338437853,
        2.9151986229065576,
        2.9152109073752617,
        2.9152231918439657,
        2.9152354763126698,
        2.9152477607813743,
        2.9152600452500783,
        2.915272329718783,
        2.9152846141874873,
        2.915296898656192,
        2.9153091831248954,
        2.9153214675936,
        2.915333752062304,
        2.9153460365310084,
        2.9153583209997125,
        2.915370605468417,
        2.915382889937121,
        2.915395174405825,
        2.9154074588745296,
        2.915419743343234,
        2.915432027811938,
        2.9154443122806426,
        2.9154565967493467,
        2.915468881218051,
        2.9154811656867547,
        2.9154934501554592,
        2.9155057346241633,
        2.915518019092868,
        2.9155303035615723,
        2.9155425880302768,
        2.915554872498981,
        2.915567156967685,
        2.915579441436389,
        2.9155917259050934,
        2.9156040103737975,
        2.915616294842502,
        2.915628579311206,
        2.9156408637799105,
        2.9156531482486145,
        2.915665432717319,
        2.915677717186023,
        2.9156900016547276,
        2.9157022861234316,
        2.915714570592136,
        2.91572685506084,
        2.915739139529544,
        2.9157514239982483,
        2.9157637084669528,
        2.9157759929356573,
        2.9157882774043618,
        2.915800561873066,
        2.9158128463417703,
        2.915825130810474,
        2.9158374152791784,
        2.9158496997478824,
        2.915861984216587,
        2.915874268685291,
        2.9158865531539955,
        2.9158988376227,
        2.915911122091404,
        2.915923406560108,
        2.9159356910288126,
        2.9159479754975166,
        2.915960259966221,
        2.915972544434925,
        2.9159848289036296,
        2.9159971133723332,
        2.9160093978410377,
        2.9160216823097422,
        2.9160339667784467,
        2.9160462512471508,
        2.916058535715855,
        2.9160708201845593,
        2.916083104653263,
        2.9160953891219674,
        2.9161076735906715,
        2.916119958059376,
        2.91613224252808,
        2.916144526996785,
        2.916156811465489,
        2.916169095934193,
        2.916181380402897,
        2.9161936648716016,
        2.9162059493403056,
        2.91621823380901,
        2.916230518277714,
        2.9162428027464187,
        2.9162550872151223,
        2.916267371683827,
        2.9162796561525313,
        2.9162919406212358,
        2.91630422508994,
        2.9163165095586443,
        2.9163287940273483,
        2.9163410784960524,
        2.9163533629647564,
        2.916365647433461,
        2.916377931902165,
        2.91639021637087,
        2.916402500839574,
        2.9164147853082785,
        2.916427069776982,
        2.9164393542456866,
        2.9164516387143906,
        2.916463923183095,
        2.916476207651799,
        2.9164884921205037,
        2.916500776589208,
        2.916513061057912,
        2.9165253455266162,
        2.9165376299953207,
        2.916549914464025,
        2.9165621989327293,
        2.9165744834014333,
        2.916586767870138,
        2.916599052338842,
        2.916611336807546,
        2.91662362127625,
        2.916635905744955,
        2.916648190213659,
        2.9166604746823634,
        2.9166727591510675,
        2.916685043619772,
        2.9166973280884756,
        2.91670961255718,
        2.916721897025884,
        2.9167341814945886,
        2.916746465963293,
        2.9167587504319976,
        2.9167710349007017,
        2.9167833193694057,
        2.9167956038381098,
        2.9168078883068143,
        2.9168201727755183,
        2.916832457244223,
        2.916844741712927,
        2.9168570261816313,
        2.9168693106503354,
        2.91688159511904,
        2.916893879587744,
        2.9169061640564484,
        2.9169184485251525,
        2.916930732993857,
        2.916943017462561,
        2.916955301931265,
        2.916967586399969,
        2.9169798708686736,
        2.916992155337378,
        2.9170044398060826,
        2.9170167242747866,
        2.917029008743491,
        2.9170412932121947,
        2.9170535776808992,
        2.9170658621496033,
        2.9170781466183078,
        2.9173299782267454,
        2.917680085584816,
        2.9176923700535204,
        2.9177046545222245,
        2.917716938990929,
        2.917729223459633,
        2.9177415079283375,
        2.9177537923970416,
        2.917766076865746,
        2.91777836133445,
        2.9177906458031546,
        2.9178029302718587,
        2.9178152147405627,
        2.9178274992092668,
        2.9178397836779713,
        2.9178520681466757,
        2.9178643526153802,
        2.9178766370840843,
        2.917888921552789,
        2.9179012060214924,
        2.917913490490197,
        2.917925774958901,
        2.9179380594276054,
        2.9179503438963095,
        2.917962628365014,
        2.9179749128337185,
        2.9179871973024225,
        2.9179994817711266,
        2.918011766239831,
        2.918024050708535,
        2.9180363351772396,
        2.9180486196459436,
        2.918060904114648,
        2.9180731885833517,
        2.9180854730520562,
        2.9180977575207607,
        2.918110041989465,
        2.9181223264581693,
        2.9181346109268738,
        2.918146895395578,
        2.918159179864282,
        2.918171464332986,
        2.9181837488016904,
        2.9181960332703945,
        2.918208317739099,
        2.9182206022078034,
        2.918232886676508,
        2.9182451711452115,
        2.918257455613916,
        2.91826974008262,
        2.9182820245513246,
        2.9182943090200286,
        2.918306593488733,
        2.918318877957437,
        2.918331162426141,
        2.9183434468948457,
        2.91835573136355,
        2.9183680158322542,
        2.9183803003009587,
        2.918392584769663,
        2.9184048692383673,
        2.918417153707071,
        2.9184294381757754,
        2.9184417226444794,
        2.918454007113184,
        2.9184662915818884,
        2.9184785760505925,
        2.918490860519297,
        2.918503144988001,
        2.918515429456705,
        2.918527713925409,
        2.9185399983941136,
        2.9185522828628176,
        2.918564567331522,
        2.9185768518002266,
        2.918589136268931,
        2.9186014207376347,
        2.9186137052063392,
        2.9186259896750433,
        2.9186382741437478,
        2.918650558612452,
        2.9186628430811563,
        2.9186751275498604,
        2.9186874120185644,
        2.9186996964872685,
        2.9187119809559734,
        2.9187242654246774,
        2.918736549893382,
        2.918748834362086,
        2.9187611188307905,
        2.918773403299494,
        2.9187856877681986,
        2.9187979722369026,
        2.918810256705607,
        2.9188225411743116,
        2.918834825643016,
        2.91884711011172,
        2.918859394580424,
        2.9188716790491283,
        2.9188839635178327,
        2.918896247986537,
        2.9189085324552413,
        2.9189208169239453,
        2.91893310139265,
        2.918945385861354,
        2.9189576703300584,
        2.9189699547987624,
        2.918982239267467,
        2.918994523736171,
        2.9190068082048755,
        2.9190190926735795,
        2.9190313771422836,
        2.9190436616109876,
        2.919055946079692,
        2.9190682305483966,
        2.919080515017101,
        2.919092799485805,
        2.9191050839545096,
        2.9191173684232132,
        2.9191296528919177,
        2.9191419373606218,
        2.9191542218293263,
        2.9191665062980303,
        2.919178790766735,
        2.9191910752354393,
        2.9192033597041434,
        2.9192156441728474,
        2.919227928641552,
        2.919240213110256,
        2.9192524975789604,
        2.9192647820476645,
        2.919277066516369,
        2.9192893509850726,
        2.919301635453777,
        2.9193139199224816,
        2.919326204391186,
        2.91933848885989,
        2.9193507733285946,
        2.9193630577972987,
        2.9193753422660027,
        2.9193876267347068,
        2.9193999112034112,
        2.9194121956721153,
        2.91942448014082,
        2.9194367646095243,
        2.9194490490782288,
        2.9194613335469324,
        2.919473618015637,
        2.919485902484341,
        2.9194981869530454,
        2.9195104714217495,
        2.919522755890454,
        2.919535040359158,
        2.919547324827862,
        2.9195596092965665,
        2.919571893765271,
        2.919584178233975,
        2.9195964627026796,
        2.9196087471713836,
        2.919621031640088,
        2.9196333161087917,
        2.9196456005774962,
        2.9196578850462003,
        2.9196701695149048,
        2.9196824539836093,
        2.9196947384523138,
        2.919707022921018,
        2.919719307389722,
        2.919731591858426,
        2.9197438763271304,
        2.9197561607958344,
        2.919768445264539,
        2.919780729733243,
        2.9197930142019475,
        2.9198052986706515,
        2.919817583139356,
        2.91982986760806,
        2.9198421520767646,
        2.9198544365454686,
        2.919866721014173,
        2.919879005482877,
        2.919891289951581,
        2.9199035744202853,
        2.9199158588889897,
        2.9199281433576942,
        2.9199404278263987,
        2.919952712295103,
        2.9199649967638073,
        2.919977281232511,
        2.9199895657012154,
        2.9200018501699194,
        2.920014134638624,
        2.920026419107328,
        2.9200387035760325,
        2.920050988044737,
        2.920063272513441,
        2.920075556982145,
        2.9200878414508495,
        2.9201001259195536,
        2.920112410388258,
        2.920124694856962,
        2.9201369793256666,
        2.9201492637943702,
        2.9201615482630747,
        2.920173832731779,
        2.9201861172004837,
        2.9201984016691878,
        2.9202106861378923,
        2.9202229706065963,
        2.9202352550753004,
        2.9202475395440044,
        2.920259824012709,
        2.920272108481413,
        2.9202843929501174,
        2.920296677418822,
        2.9203089618875264,
        2.92032124635623,
        2.9203335308249345,
        2.9203458152936386,
        2.920358099762343,
        2.920370384231047,
        2.9203826686997516,
        2.9203949531684557,
        2.9204072376371597,
        2.920419522105864,
        2.9204318065745687,
        2.9204440910432727,
        2.9204563755119772,
        2.9204686599806813,
        2.9204809444493858,
        2.9204932289180894,
        2.920505513386794,
        2.920517797855498,
        2.9205300823242024,
        2.920542366792907,
        2.9205546512616114,
        2.9205669357303154,
        2.920616073605132,
        2.9206283580738366,
        2.9206406425425406,
        2.9206529270112456,
        2.9206652114799496,
        2.9206774959486537,
        2.9206897804173577,
        2.920702064886062,
        2.9207143493547663,
        2.9207266338234708,
        2.920738918292175,
        2.9207512027608793,
        2.920763487229583,
        2.9207757716982874,
        2.920788056166992,
        2.9208003406356964,
        2.9208126251044004,
        2.920824909573105,
        2.920837194041809,
        2.920849478510513,
        2.920861762979217,
        2.9208740474479216,
        2.9208863319166256,
        2.92089861638533,
        2.9209109008540346,
        2.9209231853227386,
        2.9209354697914427,
        2.9209477542601467,
        2.9209600387288512,
        2.9209723231975553,
        2.92098460766626,
        2.920996892134964,
        2.9210091766036683,
        2.9210214610723724,
        2.921033745541077,
        2.921046030009781,
        2.9210583144784854,
        2.9210705989471895,
        2.921082883415894,
        2.921095167884598,
        2.921107452353302,
        2.9212302970403448,
        2.9214759864144297,
        2.921488270883134,
        2.9215005553518383,
        2.9215128398205428,
        2.9215251242892473,
        2.921537408757951,
        2.9215496932266554,
        2.9215619776953594,
        2.921574262164064,
        2.921586546632768,
        2.9215988311014724,
        2.9216111155701765,
        2.9216234000388805,
        2.921635684507585,
        2.923183527564321,
        2.9248787842455077,
        2.924891068714212,
        2.9249033531829163,
        2.92491563765162,
        2.9249279221203244,
        2.924940206589029,
        2.9249524910577334,
        2.9249647755264374,
        2.924977059995142,
        2.924989344463846,
        2.92500162893255,
        2.925013913401254,
        2.9250261978699585,
        2.9250384823386626,
        2.9250507668073675,
        2.9250630512760716,
        2.925075335744776,
        2.9250876202134797,
        2.925099904682184,
        2.925112189150888,
        2.9251244736195927,
        2.9251367580882968,
        2.9251490425570013,
        2.925321025118861,
        2.92566499024258,
        2.9256772747112842,
        2.9256895591799883,
        2.9257018436486923,
        2.925714128117397,
        2.925726412586101,
        2.925738697054805,
        2.9257509815235094,
        2.9257632659922135,
        2.9257755504609175,
        2.925787834929622,
        2.9258001193983265,
        2.9258124038670306,
        2.925824688335735,
        2.925836972804439,
        2.9258492572731436,
        2.925861541741847,
        2.9258738262105517,
        2.9258861106792557,
        2.9258983951479602,
        2.9259106796166647,
        2.9259229640853692,
        2.9259352485540733,
        2.9259475330227773,
        2.9259598174914814,
        2.925972101960186,
        2.92598438642889,
        2.9259966708975944,
        2.9260089553662985,
        2.926021239835003,
        2.926033524303707,
        2.9260458087724115,
        2.9260580932411155,
        2.92607037770982,
        2.926082662178524,
        2.9260949466472286,
        2.9261072311159326,
        2.9261195155846367,
        2.9261318000533407,
        2.926144084522045,
        2.9261563689907497,
        2.926168653459454,
        2.9261809379281583,
        2.9261932223968627,
        2.9262055068655664,
        2.926217791334271,
        2.926230075802975,
        2.9262423602716794,
        2.9262546447403834,
        2.926266929209088,
        2.9262792136777924,
        2.9262914981464965,
        2.9263037826152005,
        2.926316067083905,
        2.926328351552609,
        2.9263406360213136,
        2.9263529204900176,
        2.926365204958722,
        2.9263774894274257,
        2.92638977389613,
        2.9264020583648347,
        2.926414342833539,
        2.9264266273022432,
        2.9264389117709477,
        2.9264511962396518,
        2.926463480708356,
        2.92647576517706,
        2.9264880496457644,
        2.9265003341144684,
        2.926512618583173,
        2.9265249030518774,
        2.926537187520582,
        2.9265494719892855,
        2.92656175645799,
        2.926574040926694,
        2.9265863253953985,
        2.9265986098641026,
        2.926610894332807,
        2.926623178801511,
        2.9266354632702156,
        2.9266477477389197,
        2.926660032207624,
        2.926672316676328,
        2.9266846011450327,
        2.9266968856137368,
        2.9267091700824412,
        2.9267214545511453,
        2.9267337390198493,
        2.9267460234885534,
        2.926758307957258,
        2.9267705924259624,
        2.926782876894667,
        2.926795161363371,
        2.9268074458320754,
        2.926819730300779,
        2.9268320147694835,
        2.9268442992381876,
        2.926856583706892,
        2.926868868175596,
        2.926881152644301,
        2.926893437113005,
        2.926905721581709,
        2.926918006050413,
        2.9269302905191177,
        2.9269425749878217,
        2.9269548594565262,
        2.9269671439252303,
        2.9269794283939348,
        2.9269917128626384,
        2.927003997331343,
        2.9270162818000474,
        2.927028566268752,
        2.927040850737456,
        2.9270531352061604,
        2.9270654196748644,
        2.9270777041435685,
        2.9270899886122725,
        2.927102273080977,
        2.927114557549681,
        2.927126842018386,
        2.92713912648709,
        2.9271514109557946,
        2.927163695424498,
        2.9271759798932027,
        2.9271882643619067,
        2.927200548830611,
        2.9272128332993153,
        2.9272251177680197,
        2.927237402236724,
        2.9272496867054283,
        2.9272619711741323,
        2.927274255642837,
        2.927286540111541,
        2.9272988245802454,
        2.9273111090489494,
        2.927323393517654,
        2.9273356779863575,
        2.927347962455062,
        2.927360246923766,
        2.927372531392471,
        2.927384815861175,
        2.9273971003298795,
        2.9274093847985836,
        2.9274216692672876,
        2.9274339537359917,
        2.927446238204696,
        2.9274585226734002,
        2.9274708071421047,
        2.9274830916108088,
        2.9274953760795137,
        2.9275076605482173,
        2.927519945016922,
        2.927532229485626,
        2.9275445139543304,
        2.9275567984230344,
        2.927569082891739,
        2.927581367360443,
        2.927593651829147,
        2.927605936297851,
        2.927618220766556,
        2.92763050523526,
        2.9276427897039645,
        2.9276550741726686,
        2.927667358641373,
        2.9276796431100767,
        2.927691927578781,
        2.927704212047485,
        2.9277164965161897,
        2.9277287809848938,
        2.9277410654535987,
        2.9277533499223027,
        2.927765634391007,
        2.927777918859711,
        2.9277902033284153,
        2.9278024877971194,
        2.927814772265824,
        2.927827056734528,
        2.9278393412032324,
        2.927851625671936,
        2.927863910140641,
        2.927876194609345,
        2.9278884790780495,
        2.9279007635467535,
        2.927913048015458,
        2.927925332484162,
        2.927937616952866,
        2.92794990142157,
        2.9279621858902747,
        2.9279744703589787,
        2.9279867548276837,
        2.9279990392963877,
        2.928011323765092,
        2.928023608233796,
        2.9280358927025003,
        2.9280481771712044,
        2.928060461639909,
        2.928072746108613,
        2.9280850305773174,
        2.9280973150460214,
        2.928109599514726,
        2.92812188398343,
        2.9281341684521345,
        2.9281464529208385,
        2.9281587373895426,
        2.928171021858247,
        2.928183306326951,
        2.928195590795655,
        2.928207875264359,
        2.9282201597330637,
        2.928232444201768,
        2.9282447286704727,
        2.9282570131391767,
        2.9282692976078812,
        2.928281582076585,
        2.9282938665452893,
        2.9283061510139934,
        2.928318435482698,
        2.928330719951402,
        2.9283430044201064,
        2.928355288888811,
        2.928367573357515,
        2.928379857826219,
        2.9283921422949235,
        2.9284044267636276,
        2.928416711232332,
        2.928428995701036,
        2.9284412801697406,
        2.928453564638444,
        2.9284658491071487,
        2.928478133575853,
        2.9284904180445577,
        2.9285027025132617,
        2.928514986981966,
        2.9285272714506703,
        2.9285395559193748,
        2.9285518403880784,
        2.928564124856783,
        2.928576409325487,
        2.9285886937941914,
        2.928600978262896,
        2.9286132627316004,
        2.928625547200304,
        2.9286378316690085,
        2.9286501161377125,
        2.928662400606417,
        2.928674685075121,
        2.9286869695438256,
        2.9286992540125296,
        2.928711538481234,
        2.928723822949938,
        2.9287361074186427,
        2.9287483918873467,
        2.928760676356051,
        2.9287729608247552,
        2.9287852452934597,
        2.928797529762164,
        2.928809814230868,
        2.928822098699572,
        2.9288343831682764,
        2.928846667636981,
        2.9288589521056854,
        2.9288712365743894,
        2.928883521043094,
        2.9288958055117975,
        2.928908089980502,
        2.928920374449206,
        2.9289326589179105,
        2.9289449433866146,
        2.9289572278553195,
        2.9289695123240236,
        2.9289817967927276,
        2.9289940812614317,
        2.929006365730136,
        2.9290186501988402,
        2.9290309346675447,
        2.9290432191362488,
        2.9290555036049533,
        2.929067788073657,
        2.9290800725423614,
        2.929092357011066,
        2.9291046414797703,
        2.9291169259484744,
        2.929129210417179,
        2.929141494885883,
        2.929153779354587,
        2.929166063823291,
        2.9291783482919955,
        2.9291906327606996,
        2.9292029172294045,
        2.9292152016981086,
        2.929227486166813,
        2.9292397706355167,
        2.929252055104221,
        2.929264339572925,
        2.9292766240416297,
        2.9292889085103337,
        2.9293011929790382,
        2.9293134774477423,
        2.929325761916447,
        2.929338046385151,
        2.9293503308538553,
        2.9293626153225594,
        2.929374899791264,
        2.929387184259968,
        2.9293994687286724,
        2.929411753197376,
        2.9294240376660805,
        2.9294363221347846,
        2.9294486066034895,
        2.9294608910721935,
        2.929473175540898,
        2.929485460009602,
        2.929497744478306,
        2.92951002894701,
        2.9295223134157147,
        2.9295345978844187,
        2.929546882353123,
        2.9295591668218273,
        2.929571451290532,
        2.929583735759236,
        2.9295960202279403,
        2.9296083046966443,
        2.929620589165349,
        2.929632873634053,
        2.9296451581027574,
        2.9296574425714614,
        2.9296697270401655,
        2.9296820115088695,
        2.9296942959775745,
        2.9297065804462785,
        2.929718864914983,
        2.929731149383687,
        2.9297434338523916,
        2.929755718321095,
        2.9297680027897997,
        2.9297802872585037,
        2.929792571727208,
        2.9298048561959122,
        2.929817140664617,
        2.9298294251333212,
        2.9298417096020253,
        2.9298539940707293,
        2.929964554289067,
        2.9302716660066737,
        2.930283950475378,
        2.930296234944082,
        2.930308519412787,
        2.930320803881491,
        2.9303330883501957,
        2.9303453728188997,
        2.930357657287604,
        2.930369941756308,
        2.9303822262250123,
        2.9303945106937164,
        2.930406795162421,
        2.930419079631125,
        2.93043136409983,
        2.9304436485685335,
        2.930455933037238,
        2.930468217505942,
        2.9304805019746465,
        2.9304927864433505,
        2.930505070912055,
        2.930517355380759,
        2.930529639849463,
        2.9306033466616888,
        2.9306156311303933,
        2.930627915599097,
        2.9306402000678013,
        2.9306524845365054,
        2.93066476900521,
        2.9306770534739144,
        2.930689337942619,
        2.930701622411323,
        2.930713906880027,
        2.930726191348731,
        2.9307384758174355,
        2.9307507602861396,
        2.930763044754844,
        2.930775329223548,
        2.9307876136922526,
        2.9307998981609567,
        2.930812182629661,
        2.930824467098365,
        2.9308367515670697,
        2.9308490360357737,
        2.9308613205044782,
        2.9308736049731823,
        2.9308858894418863,
        2.9308981739105904,
        2.930910458379295,
        2.9309227428479994,
        2.930935027316704,
        2.930947311785408,
        2.9309595962541124,
        2.930971880722816,
        2.9309841651915205,
        2.9309964496602245,
        2.931008734128929,
        2.931021018597633,
        2.931033303066338,
        2.931045587535042,
        2.931057872003746,
        2.93107015647245,
        2.9310824409411547,
        2.9310947254098587,
        2.931107009878563,
        2.9311192943472673,
        2.9311315788159717,
        2.9311438632846754,
        2.93115614775338,
        2.9311684322220843,
        2.931180716690789,
        2.931193001159493,
        2.9312052856281974,
        2.9312175700969014,
        2.9312298545656055,
        2.9312421390343095,
        2.931254423503014,
        2.931266707971718,
        2.931278992440423,
        2.931291276909127,
        2.9313035613778315,
        2.931315845846535,
        2.9313281303152396,
        2.9313404147839437,
        2.931352699252648,
        2.9313649837213522,
        2.9313772681900567,
        2.9313895526587608,
        2.9314018371274653,
        2.9314141215961693,
        2.931426406064874,
        2.931438690533578,
        2.9314509750022824,
        2.9314632594709864,
        2.931475543939691,
        2.9314878284083945,
        2.931500112877099,
        2.931512397345803,
        2.931524681814508,
        2.931536966283212,
        2.9315492507519165,
        2.9315615352206206,
        2.9315738196893246,
        2.9315861041580287,
        2.931598388626733,
        2.931610673095437,
        2.9316229575641417,
        2.9316352420328458,
        2.9316475265015507,
        2.9316598109702543,
        2.931672095438959,
        2.931684379907663,
        2.9316966643763673,
        2.9317089488450714,
        2.931721233313776,
        2.93173351778248,
        2.931745802251184,
        2.931758086719888,
        2.931770371188593,
        2.931782655657297,
        2.9317949401260015,
        2.9318072245947056,
        2.93181950906341,
        2.9318317935321137,
        2.931844078000818,
        2.931856362469522,
        2.9318686469382267,
        2.9318809314069307,
        2.9318932158756357,
        2.9319055003443397,
        2.9319177848130438,
        2.931930069281748,
        2.9319423537504523,
        2.9319546382191564,
        2.931966922687861,
        2.931979207156565,
        2.9319914916252694,
        2.932003776093973,
        2.932016060562678,
        2.932028345031382,
        2.9320406295000865,
        2.9320529139687905,
        2.932065198437495,
        2.932077482906199,
        2.932089767374903,
        2.932102051843607,
        2.9321143363123117,
        2.9321266207810157,
        2.9321389052497207,
        2.9321511897184247,
        2.932163474187129,
        2.932175758655833,
        2.9321880431245373,
        2.9322003275932413,
        2.932212612061946,
        2.93222489653065,
        2.9322371809993544,
        2.9322494654680584,
        2.932261749936763,
        2.932274034405467,
        2.9322863188741715,
        2.9322986033428755,
        2.93231088781158,
        2.932323172280284,
        2.9323354567489885,
        2.932347741217692,
        2.9323600256863966,
        2.9323723101551007,
        2.9323845946238056,
        2.9323968790925097,
        2.932409163561214,
        2.932421448029918,
        2.9324337324986223,
        2.9324460169673263,
        2.932458301436031,
        2.932470585904735,
        2.9324828703734394,
        2.9324951548421434,
        2.9325074393108483,
        2.932519723779552,
        2.9325320082482564,
        2.9325442927169605,
        2.932556577185665,
        2.932568861654369,
        2.9325811461230735,
        2.9325934305917776,
        2.9326057150604816,
        2.9326179995291857,
        2.9326302839978906,
        2.9326425684665947,
        2.932654852935299,
        2.932667137404003,
        2.9326794218727077,
        2.9326917063414117,
        2.932703990810116,
        2.93271627527882,
        2.9327285597475243,
        2.9327408442162284,
        2.9327531286849333,
        2.9327654131536374,
        2.932777697622342,
        2.9327899820910455,
        2.93280226655975,
        2.932814551028454,
        2.9328268354971585,
        2.9328391199658626,
        2.932851404434567,
        2.932863688903271,
        2.9328759733719756,
        2.9328882578406796,
        2.932900542309384,
        2.932912826778088,
        2.9329251112467927,
        2.9329373957154967,
        2.932949680184201,
        2.932961964652905,
        2.9329742491216093,
        2.9329865335903134,
        2.932998818059018,
        2.9330111025277223,
        2.9330233869964264,
        2.933035671465131,
        2.9330479559338345,
        2.933060240402539,
        2.933072524871243,
        2.9330848093399475,
        2.9330970938086516,
        2.9331093782773565,
        2.9331216627460606,
        2.9331339472147646,
        2.9331462316834687,
        2.933158516152173,
        2.933170800620877,
        2.9331830850895817,
        2.9331953695582857,
        2.9332076540269902,
        2.933219938495694,
        2.9332322229643983,
        2.933244507433103,
        2.9332567919018073,
        2.9332690763705114,
        2.933281360839216,
        2.93329364530792,
        2.933305929776624,
        2.933318214245328,
        2.9333304987140325,
        2.9333427831827366,
        2.9333550676514415,
        2.9333673521201455,
        2.93337963658885,
        2.9333919210575536,
        2.933404205526258,
        2.933416489994962,
        2.9334287744636667,
        2.9334410589323707,
        2.933453343401075,
        2.9334656278697793,
        2.9334779123384838,
        2.933490196807188,
        2.933563903619414,
        2.9338587308683155,
        2.93387101533702,
        2.933883299805724,
        2.9338955842744285,
        2.933907868743132,
        2.9339201532118366,
        2.9339324376805407,
        2.933944722149245,
        2.9339570066179492,
        2.933969291086654,
        2.933981575555358,
        2.9339938600240623,
        2.9340061444927663,
        2.934018428961471,
        2.934030713430175,
        2.9340429978988793,
        2.9340552823675834,
        2.934067566836288,
        2.9340798513049915,
        2.9340921357736964,
        2.9341044202424005,
        2.934116704711105,
        2.934128989179809,
        2.9341412736485135,
        2.9341535581172176,
        2.9341658425859216,
        2.9341781270546257,
        2.93419041152333,
        2.934202695992034,
        2.934214980460739,
        2.934227264929443,
        2.9342395493981477,
        2.9342518338668513,
        2.934264118335556,
        2.93427640280426,
        2.9342886872729643,
        2.9343009717416684,
        2.934313256210373,
        2.934325540679077,
        2.9343378251477814,
        2.9343501096164855,
        2.93436239408519,
        2.934374678553894,
        2.9343869630225985,
        2.9343992474913025,
        2.934411531960007,
        2.9344238164287106,
        2.934436100897415,
        2.934448385366119,
        2.934460669834824,
        2.934472954303528,
        2.9344852387722327,
        2.9344975232409367,
        2.9345098077096408,
        2.934522092178345,
        2.9345343766470493,
        2.9345466611157534,
        2.934558945584458,
        2.934571230053162,
        2.934583514521867,
        2.934595798990571,
        2.934608083459275,
        2.934620367927979,
        2.9346326523966835,
        2.9346449368653875,
        2.934657221334092,
        2.934669505802796,
        2.9346817902715006,
        2.934694074740204,
        2.934706359208909,
        2.934718643677613,
        2.9347309281463176,
        2.9347432126150217,
        2.934755497083726,
        2.9347677815524302,
        2.9347800660211343,
        2.9347923504898383,
        2.934804634958543,
        2.934816919427247,
        2.934829203895952,
        2.934841488364656,
        2.9348537728333604,
        2.934866057302064,
        2.9348783417707685,
        2.9348906262394725,
        2.934902910708177,
        2.934915195176881,
        2.9349274796455855,
        2.9349397641142896,
        2.934952048582994,
        2.934964333051698,
        2.9349766175204026,
        2.9349889019891067,
        2.935001186457811,
        2.935013470926515,
        2.9350257553952197,
        2.9350380398639233,
        2.935050324332628,
        2.935062608801332,
        2.935074893270037,
        2.935087177738741,
        2.9350994622074453,
        2.9351117466761494,
        2.935210022425783,
        2.9352223068944876,
        2.9352345913631916,
        2.935246875831896,
        2.9352591603006,
        2.9352714447693047,
        2.9352837292380087,
        2.935296013706713,
        2.935308298175417,
        2.9353205826441218,
        2.935332867112826,
        2.9353451515815303,
        2.9353574360502344,
        2.935369720518939,
        2.9353820049876425,
        2.935394289456347,
        2.935406573925051,
        2.935418858393755,
        2.93543114286246,
        2.935443427331164,
        2.935443427331164,
        2.9354557117998685,
        2.935676832236545,
        2.935689116705249,
        2.9357014011739535,
        2.9357136856426576,
        2.9357259701113616,
        2.9357382545800657,
        2.93575053904877,
        2.935762823517474,
        2.9357751079861787,
        2.9357873924548827,
        2.9357996769235877,
        2.9358119613922913,
        2.9358242458609958,
        2.9358365303297,
        2.9358488147984043,
        2.9358610992671084,
        2.935873383735813,
        2.935885668204517,
        2.935897952673221,
        2.935910237141925,
        2.93592252161063,
        2.935934806079334,
        2.9360207973602637,
        2.9360330818289677,
        2.9360453662976727,
        2.9360576507663767,
        2.9360699352350808,
        2.936082219703785,
        2.9360945041724893,
        2.9361067886411933,
        2.936119073109898,
        2.936131357578602,
        2.9361436420473064,
        2.93615592651601,
        2.936168210984715,
        2.936180495453419,
        2.9361927799221235,
        2.9362050643908275,
        2.936217348859532,
        2.936229633328236,
        2.93624191779694,
        2.936254202265644,
        2.9362664867343486,
        2.9362787712030527,
        2.9362910556717576,
        2.9363033401404617,
        2.936315624609166,
        2.93632790907787,
        2.9363401935465743,
        2.9363524780152783,
        2.936364762483983,
        2.936377046952687,
        2.9363893314213914,
        2.9364016158900954,
        2.9364139003588,
        2.936426184827504,
        2.9364384692962084,
        2.9364507537649125,
        2.936463038233617,
        2.936475322702321,
        2.9364876071710255,
        2.936499891639729,
        2.9365121761084336,
        2.9365244605771377,
        2.9365367450458426,
        2.9365490295145467,
        2.936561313983251,
        2.936573598451955,
        2.9365858829206593,
        2.9365981673893633,
        2.936610451858068,
        2.936622736326772,
        2.9366350207954763,
        2.9366473052641804,
        2.9366595897328853,
        2.9366718742015894,
        2.9366841586702934,
        2.9366964431389975,
        2.936708727607702,
        2.936721012076406,
        2.9367332965451105,
        2.9367455810138146,
        2.936757865482519,
        2.9367701499512227,
        2.9367824344199276,
        2.9367947188886316,
        2.936807003357336,
        2.93681928782604,
        2.9368315722947447,
        2.9368438567634487,
        2.9368561412321528,
        2.936868425700857,
        2.9368807101695613,
        2.9368929946382654,
        2.9369052791069703,
        2.9369175635756744,
        2.936929848044379,
        2.9369421325130824,
        2.936954416981787,
        2.936966701450491,
        2.9369789859191955,
        2.9369912703878995,
        2.937003554856604,
        2.937015839325308,
        2.9370281237940126,
        2.9370404082627166,
        2.937052692731421,
        2.937064977200125,
        2.9370772616688297,
        2.9370895461375337,
        2.937101830606238,
        2.937114115074942,
        2.9371263995436463,
        2.9371386840123503,
        2.9371509684810553,
        2.9371632529497593,
        2.937175537418464,
        2.937187821887168,
        2.937200106355872,
        2.937212390824576,
        2.9372246752932805,
        2.9372369597619845,
        2.937249244230689,
        2.9372615286993935,
        2.937273813168098,
        2.9372860976368016,
        2.937298382105506,
        2.93731066657421,
        2.9373229510429146,
        2.9373352355116187,
        2.937347519980323,
        2.9373598044490272,
        2.9373720889177313,
        2.9373843733864353,
        2.9373966578551403,
        2.9374089423238443,
        2.937421226792549,
        2.937433511261253,
        2.9374457957299573,
        2.937458080198661,
        2.9374703646673654,
        2.9374826491360695,
        2.937494933604774,
        2.9375072180734785,
        2.937519502542183,
        2.937531787010887,
        2.937544071479591,
        2.937556355948295,
        2.9375686404169996,
        2.9375809248857037,
        2.937593209354408,
        2.937605493823112,
        2.9376177782918167,
        2.9376300627605207,
        2.9376423472292252,
        2.9376546316979293,
        2.937666916166634,
        2.937980170118592,
        2.938563682382044,
        2.9386988115377903,
        2.938711096006495,
        2.938723380475199,
        2.938735664943904,
        2.938747949412608,
        2.938760233881312,
        2.938772518350016,
        2.9387848028187205,
        2.9387970872874245,
        2.938809371756129,
        2.938821656224833,
        2.9388339406935375,
        2.938846225162241,
        2.938858509630946,
        2.93887079409965,
        2.9388830785683546,
        2.9388953630370587,
        2.938907647505763,
        2.938919931974467,
        2.9389322164431713,
        2.9389445009118753,
        2.93895678538058,
        2.938969069849284,
        2.938981354317989,
        2.938993638786693,
        2.9390059232553973,
        2.939018207724101,
        2.9390304921928054,
        2.9390427766615095,
        2.939055061130214,
        2.939067345598918,
        2.9390796300676225,
        2.9390919145363266,
        2.939104199005031,
        2.939116483473735,
        2.9391287679424396,
        2.9391410524111437,
        2.939153336879848,
        2.939165621348552,
        2.9391779058172567,
        2.9391901902859603,
        2.939202474754665,
        2.939214759223369,
        2.9392270436920738,
        2.939239328160778,
        2.9392516126294823,
        2.9392638970981864,
        2.9392761815668904,
        2.9392884660355945,
        2.9393560306134683,
        2.9397184224402437,
        2.9397307069089478,
        2.9397429913776523,
        2.9397552758463563,
        2.939767560315061,
        2.939779844783765,
        2.939792129252469,
        2.939804413721173,
        2.9398166981898775,
        2.939828982658582,
        2.9398412671272864,
        2.9398535515959905,
        2.939865836064695,
        2.9398781205333986,
        2.939890405002103,
        2.939902689470807,
        2.9399149739395116,
        2.9399272584082157,
        2.93993954287692,
        2.9399518273456247,
        2.9399641118143287,
        2.94011152543878,
        2.940123809907484,
        2.940136094376188,
        2.940148378844892,
        2.9401606633135966,
        2.9401729477823006,
        2.940185232251005,
        2.9401975167197096,
        2.940209801188414,
        2.9402220856571177,
        2.9402343701258222,
        2.9402466545945263,
        2.9402589390632303,
        2.940271223531935,
        2.940283508000639,
        2.9402957924693434,
        2.940308076938047,
        2.940320361406752,
        2.940332645875456,
        2.9404923439686113,
        2.9405046284373153,
        2.94051691290602,
        2.940529197374724,
        2.9405414818434283,
        2.9405537663121324,
        2.940566050780837,
        2.940578335249541,
        2.9405906197182454,
        2.9406029041869495,
        2.940615188655654,
        2.940627473124358,
        2.9406397575930625,
        2.9406520420617666,
        2.9406643265304706,
        2.9406766109991747,
        2.9406888954678796,
        2.9407011799365836,
        2.940713464405288,
        2.940725748873992,
        2.9408117401549223,
        2.9408240246236264,
        2.9408363090923304,
        2.9408485935610345,
        2.940860878029739,
        2.940873162498443,
        2.9408854469671475,
        2.9408977314358515,
        2.940910015904556,
        2.9409223003732596,
        2.9410082916541898,
        2.941020576122894,
        2.9410328605915983,
        2.9410451450603023,
        2.9410574295290073,
        2.9410697139977113,
        2.941081998466416,
        2.9410942829351194,
        2.941106567403824,
        2.941118851872528,
        2.9411311363412325,
        2.9411434208099365,
        2.941155705278641,
        2.941167989747345,
        2.9411802742160496,
        2.9411925586847536,
        2.941204843153458,
        2.941217127622162,
        2.9412294120908666,
        2.9412416965595707,
        2.941253981028275,
        2.941266265496979,
        2.9412785499656833,
        2.9412908344343873,
        2.9413031189030923,
        2.9413154033717963,
        2.941327687840501,
        2.941339972309205,
        2.941352256777909,
        2.941364541246613,
        2.9413768257153174,
        2.9413891101840215,
        2.941401394652726,
        2.9414136791214305,
        2.941425963590135,
        2.9414382480588386,
        2.941450532527543,
        2.941462816996247,
        2.9414751014649516,
        2.9414873859336557,
        2.94149967040236,
        2.941511954871064,
        2.9415242393397683,
        2.9415365238084723,
        2.9415488082771772,
        2.9415610927458813,
        2.941573377214586,
        2.94158566168329,
        2.9415979461519943,
        2.941696221901628,
        2.941708506370332,
        2.9417207908390366,
        2.9417330753077406,
        2.941745359776445,
        2.941757644245149,
        2.9417699287138537,
        2.9417822131825577,
        2.941794497651262,
        2.9418067821199663,
        2.9418190665886708,
        2.941831351057375,
        2.9418436355260793,
        2.9418559199947834,
        2.9418682044634874,
        2.9418804889321915,
        2.941892773400896,
        2.9419050578696004,
        2.941917342338305,
        2.941929626807009,
        2.9419419112757135,
        2.941954195744417,
        2.9419664802131216,
        2.9419787646818256,
        2.94199104915053,
        2.942003333619234,
        2.9420156180879387,
        2.942027902556643,
        2.942040187025347,
        2.9420524714940512,
        2.9420647559627557,
        2.94207704043146,
        2.9420893249001643,
        2.9421016093688683,
        2.942113893837573,
        2.9421261783062764,
        2.942138462774981,
        2.9421507472436854,
        2.94216303171239,
        2.942175316181094,
        2.9421876006497985,
        2.9421937428841507,
        2.9421998851185025,
        2.9422121695872065,
        2.9422244540559106,
        2.942236738524615,
        2.942249022993319,
        2.942457858961292,
        2.9424701434299956,
        2.9424824278987,
        2.942494712367404,
        2.9425069968361086,
        2.942519281304813,
        2.9425315657735176,
        2.9425438502422216,
        2.942556134710926,
        2.9425684191796297,
        2.9425807036483342,
        2.9425929881170383,
        2.942605272585743,
        2.942617557054447,
        2.9426298415231513,
        2.9426421259918554,
        2.94265441046056,
        2.942666694929264,
        2.942678979397968,
        2.9426912638666725,
        2.9427035483353765,
        2.942715832804081,
        2.942728117272785,
        2.942740401741489,
        2.942752686210193,
        2.942764970678898,
        2.942777255147602,
        2.9427895396163066,
        2.9428018240850107,
        2.942814108553715,
        2.9428263930224188,
        2.9428386774911233,
        2.9428509619598273,
        2.942863246428532,
        2.942875530897236,
        2.942887815365941,
        2.942900099834645,
        2.942912384303349,
        2.942924668772053,
        2.9429369532407574,
        2.9429492377094615,
        2.942961522178166,
        2.94297380664687,
        2.9429860911155745,
        2.942998375584278,
        2.943010660052983,
        2.943022944521687,
        2.9430352289903916,
        2.9430475134590957,
        2.9430597979278,
        2.943072082396504,
        2.9430843668652082,
        2.9430966513339123,
        2.943108935802617,
        2.943121220271321,
        2.9431335047400258,
        2.94314578920873,
        2.9431580736774343,
        2.943170358146138,
        2.9431826426148424,
        2.9435573189103224,
        2.944275960329521,
        2.944288244798225,
        2.944300529266929,
        2.9443128137356336,
        2.9443250982043376,
        2.944337382673042,
        2.9443496671417466,
        2.944361951610451,
        2.9443742360791547,
        2.944386520547859,
        2.9443988050165633,
        2.9444110894852678,
        2.944423373953972,
        2.944435658422676,
        2.9444356584226763,
        2.9444479428913803,
        2.9444602273600844,
        2.944472511828789,
        2.9444847962974934,
        2.9444970807661974,
        2.944509365234902,
        2.9447304856715784,
        2.9447427701402824,
        2.944755054608987,
        2.944767339077691,
        2.9447796235463954,
        2.9447919080150995,
        2.944804192483804,
        2.9448164769525076,
        2.944828761421212,
        2.9448410458899166,
        2.944853330358621,
        2.944865614827325,
        2.9448778992960296,
        2.9448901837647337,
        2.9449024682334377,
        2.9449147527021418,
        2.9449270371708463,
        2.9449393216395503,
        2.944951606108255,
        2.9449638905769593,
        2.944976175045664,
        2.9449884595143674,
        2.945000743983072,
        2.945013028451776,
        2.9450253129204804,
        2.9450375973891845,
        2.945049881857889,
        2.945062166326593,
        2.945074450795297,
        2.9450867352640016,
        2.9450990197327056,
        2.94511130420141,
        2.945123588670114,
        2.9451358731388186,
        2.9451481576075227,
        2.9451604420762267,
        2.945172726544931,
        2.9451850110136353,
        2.9451972954823393,
        2.9452095799510443,
        2.9452218644197483,
        2.945234148888453,
        2.9452464333571564,
        2.945258717825861,
        2.945271002294565,
        2.9452832867632694,
        2.9452955712319735,
        2.945307855700678,
        2.945320140169382,
        2.9453324246380865,
        2.9453447091067906,
        2.945356993575495,
        2.945369278044199,
        2.9453815625129036,
        2.9453938469816077,
        2.945406131450312,
        2.9454184159190158,
        2.9454307003877203,
        2.9454429848564243,
        2.9454552693251292,
        2.9454675537938333,
        2.945479838262538,
        2.945492122731242,
        2.945504407199946,
        2.94551669166865,
        2.9455289761373544,
        2.9455412606060585,
        2.945553545074763,
        2.9455658295434675,
        2.945578114012172,
        2.9455903984808756,
        2.94560268294958,
        2.945614967418284,
        2.9456272518869886,
        2.9456395363556926,
        2.945651820824397,
        2.945664105293101,
        2.9456763897618052,
        2.9456886742305093,
        2.9457009586992142,
        2.9457132431679183,
        2.9457255276366228,
        2.945737812105327,
        2.9457500965740313,
        2.945762381042735,
        2.9457746655114394,
        2.9457869499801435,
        2.945799234448848,
        2.9458115189175524,
        2.945823803386257,
        2.945836087854961,
        2.945848372323665,
        2.945860656792369,
        2.9458729412610736,
        2.9458852257297776,
        2.945897510198482,
        2.945909794667186,
        2.9459220791358907,
        2.9459343636045947,
        2.945946648073299,
        2.9459589325420033,
        2.9459712170107077,
        2.945983501479412,
        2.9459957859481163,
        2.9460080704168203,
        2.9460203548855244,
        2.9460326393542284,
        2.946044923822933,
        2.9460572082916374,
        2.946069492760342,
        2.946081777229046,
        2.9460940616977505,
        2.946106346166454,
        2.9461186306351586,
        2.9461309151038626,
        2.946143199572567,
        2.946155484041271,
        2.9461677685099756,
        2.94618005297868,
        2.946192337447384,
        2.9462046219160882,
        2.9462169063847927,
        2.9462291908534968,
        2.9462414753222013,
        2.9462537597909053,
        2.94626604425961,
        2.9462783287283134,
        2.946290613197018,
        2.9463028976657224,
        2.946315182134427,
        2.946327466603131,
        2.9463397510718354,
        2.9463520355405395,
        2.9463643200092435,
        2.9463766044779476,
        2.946388888946652,
        2.946401173415356,
        2.9464134578840606,
        2.946425742352765,
        2.9464380268214696,
        2.946450311290173,
        2.9464625957588777,
        2.9464748802275817,
        2.9464871646962862,
        2.9464994491649903,
        2.946511733633695,
        2.946524018102399,
        2.946536302571103,
        2.9465485870398074,
        2.946560871508512,
        2.946573155977216,
        2.9465854404459204,
        2.9465977249146245,
        2.946610009383329,
        2.9466222938520326,
        2.946634578320737,
        2.946646862789441,
        2.9466591472581456,
        2.94667143172685,
        2.9466837161955546,
        2.9466960006642586,
        2.946708285132963,
        2.9467205696016667,
        2.946732854070371,
        2.9467451385390753,
        2.9467574230077798,
        2.946769707476484,
        2.9467819919451883,
        2.946794276413893,
        2.946806560882597,
        2.946818845351301,
        2.9468311298200054,
        2.9468434142887094,
        2.946855698757414,
        2.946867983226118,
        2.9468802676948225,
        2.946917121100935,
        2.9469416900383436,
        2.946953974507048,
        2.946966258975752,
        2.946978543444456,
        2.9469908279131602,
        2.9474084998491055,
        2.948292981595811,
        2.9483052660645153,
        2.9483175505332198,
        2.948329835001924,
        2.9483421194706283,
        2.948354403939332,
        2.9483666884080364,
        2.948378972876741,
        2.9483912573454454,
        2.9484035418141494,
        2.948415826282854,
        2.948428110751558,
        2.948440395220262,
        2.948440395220262,
        2.948452679688966,
        2.9484649641576706,
        2.9484772486263746,
        2.948489533095079,
        2.9485018175637836,
        2.948514102032488,
        2.9487843603439816,
        2.948796644812685,
        2.9488089292813897,
        2.9488212137500938,
        2.9488334982187983,
        2.9488457826875023,
        2.948858067156207,
        2.9488703516249113,
        2.9488826360936153,
        2.9488949205623194,
        2.948907205031024,
        2.948919489499728,
        2.9489317739684324,
        2.9489440584371365,
        2.948956342905841,
        2.9489686273745446,
        2.948980911843249,
        2.9489931963119536,
        2.949005480780658,
        2.949017765249362,
        2.9490300497180666,
        2.9490423341867706,
        2.9490546186554747,
        2.9490669031241787,
        2.9490791875928832,
        2.9490914720615873,
        2.9491037565302918,
        2.9491160409989963,
        2.9491283254677008,
        2.9491406099364044,
        2.949152894405109,
        2.949165178873813,
        2.9491774633425174,
        2.9491897478112215,
        2.949202032279926,
        2.94921431674863,
        2.949226601217334,
        2.9492388856860385,
        2.949251170154743,
        2.949263454623447,
        2.9492757390921516,
        2.9492880235608556,
        2.94930030802956,
        2.9493125924982637,
        2.949324876966968,
        2.9493371614356723,
        2.9493494459043768,
        2.9493617303730812,
        2.9493740148417857,
        2.94938629931049,
        2.949398583779194,
        2.949410868247898,
        2.9494231527166024,
        2.9494354371853064,
        2.949447721654011,
        2.949460006122715,
        2.9494722905914195,
        2.9494845750601235,
        2.949496859528828,
        2.949509143997532,
        2.9495214284662366,
        2.9495337129349406,
        2.949545997403645,
        2.949558281872349,
        2.949570566341053,
        2.9495828508097572,
        2.9495951352784617,
        2.9496074197471662,
        2.9496197042158707,
        2.9496319886845748,
        2.9496442731532793,
        2.949656557621983,
        2.9496688420906874,
        2.9496811265593914,
        2.949693411028096,
        2.9497056954968,
        2.949717979965505,
        2.949730264434209,
        2.949742548902913,
        2.949754833371617,
        2.9497671178403215,
        2.9497794023090256,
        2.94979168677773,
        2.949803971246434,
        2.9498162557151386,
        2.949828540183842,
        2.9498408246525467,
        2.949853109121251,
        2.9498653935899557,
        2.9498776780586597,
        2.9498899625273642,
        2.9499022469960683,
        2.949914531464772,
        2.9499268159334764,
        2.9499391004021804,
        2.949951384870885,
        2.9499636693395894,
        2.949975953808294,
        2.949988238276998,
        2.950000522745702,
        2.950012807214406,
        2.9500250916831106,
        2.9500373761518146,
        2.950049660620519,
        2.950061945089223,
        2.9500742295579276,
        2.9500865140266317,
        2.950098798495336,
        2.9501110829640402,
        2.9501233674327447,
        2.9501356519014488,
        2.9501479363701533,
        2.9501602208388573,
        2.9501725053075614,
        2.9501847897762654,
        2.95019707424497,
        2.9502093587136744,
        2.950221643182379,
        2.950233927651083,
        2.9502462121197874,
        2.950258496588491,
        2.9502707810571955,
        2.9502830655258996,
        2.950295349994604,
        2.950307634463308,
        2.9503199189320126,
        2.950332203400717,
        2.950344487869421,
        2.950356772338125,
        2.9503690568068297,
        2.9503813412755338,
        2.9503936257442382,
        2.9504059102129423,
        2.950418194681647,
        2.9504304791503504,
        2.950442763619055,
        2.9504550480877594,
        2.950467332556464,
        2.950479617025168,
        2.9504919014938724,
        2.9505041859625765,
        2.9505164704312805,
        2.9505287548999846,
        2.950541039368689,
        2.950553323837393,
        2.9505656083060976,
        2.950577892774802,
        2.9505901772435066,
        2.95060246171221,
        2.9506147461809147,
        2.9506270306496187,
        2.9506393151183232,
        2.9506515995870273,
        2.9506638840557318,
        2.950676168524436,
        2.9506884529931403,
        2.9507007374618444,
        2.950713021930549,
        2.950725306399253,
        2.9507375908679574,
        2.9507498753366614,
        2.950762159805366,
        2.9507744442740695,
        2.950786728742774,
        2.950799013211478,
        2.9508112976801826,
        2.950823582148887,
        2.9508358666175916,
        2.9508481510862956,
        2.950860435555,
        2.9508727200237037,
        2.950885004492408,
        2.9508972889611123,
        2.9509095734298167,
        2.950921857898521,
        2.9509341423672253,
        2.95094642683593,
        2.950958711304634,
        2.950970995773338,
        2.9509832802420424,
        2.9509955647107464,
        2.951007849179451,
        2.951020133648155,
        2.9510324181168595,
        2.951044702585563,
        2.9510569870542676,
        2.951069271522972,
        2.9510815559916765,
        2.9510938404603806,
        2.951106124929085,
        2.951118409397789,
        2.951130693866493,
        2.9511429783351972,
        2.9511552628039017,
        2.9511675472726058,
        2.9511798317413103,
        2.9511921162100148,
        2.9512044006787193,
        2.951216685147423,
        2.9512289696161274,
        2.9512412540848314,
        2.951253538553536,
        2.95126582302224,
        2.9512781074909444,
        2.9512903919596485,
        2.9513026764283525,
        2.951314960897057,
        2.9513272453657615,
        2.9513395298344656,
        2.95135181430317,
        2.951364098771874,
        2.9513763832405786,
        2.951388667709282,
        2.9514009521779867,
        2.9514132366466908,
        2.9514255211153952,
        2.9514378055840997,
        2.9514500900528042,
        2.9514623745215083,
        2.9514746589902123,
        2.9514869434589164,
        2.951499227927621,
        2.951511512396325,
        2.9515237968650294,
        2.9515360813337335,
        2.951548365802438,
        2.951560650271142,
        2.9515729347398465,
        2.9515852192085505,
        2.951597503677255,
        2.951609788145959,
        2.9516220726146636,
        2.9516343570833676,
        2.9516466415520717,
        2.9516589260207757,
        2.9516712104894802,
        2.9516834949581847,
        2.951695779426889,
        2.9517080638955933,
        2.9517203483642978,
        2.9517326328330014,
        2.951744917301706,
        2.95175720177041,
        2.9517694862391144,
        2.9517817707078184,
        2.9517940551765234,
        2.9518063396452274,
        2.9518186241139315,
        2.9518309085826355,
        2.95184319305134,
        2.951855477520044,
        2.9518677619887486,
        2.9518800464574526,
        2.951892330926157,
        2.9519046153948607,
        2.951916899863565,
        2.9519291843322697,
        2.951941468800974,
        2.9519537532696782,
        2.9519660377383827,
        2.951978322207087,
        2.951990606675791,
        2.952002891144495,
        2.9520151756131994,
        2.9520274600819034,
        2.9520397445506084,
        2.9520520290193124,
        2.952064313488017,
        2.9520765979567205,
        2.952088882425425,
        2.952101166894129,
        2.9521134513628335,
        2.9521257358315376,
        2.952138020300242,
        2.952150304768946,
        2.9521625892376506,
        2.9521748737063547,
        2.952187158175059,
        2.952199442643763,
        2.9522117271124677,
        2.9522240115811718,
        2.9522362960498763,
        2.95224858051858,
        2.9522608649872844,
        2.9522731494559884,
        2.9522854339246933,
        2.9522977183933974,
        2.952310002862102,
        2.952322287330806,
        2.9523345717995095,
        2.952346856268214,
        2.952359140736918,
        2.9523714252056226,
        2.9523837096743266,
        2.952395994143031,
        2.9524082786117356,
        2.9524205630804397,
        2.9524328475491437,
        2.952445132017848,
        2.9524574164865522,
        2.9524697009552567,
        2.952481985423961,
        2.9524942698926653,
        2.952506554361369,
        2.9525188388300734,
        2.952531123298778,
        2.9525434077674824,
        2.9525556922361864,
        2.952567976704891,
        2.952580261173595,
        2.952592545642299,
        2.952604830111003,
        2.9526171145797075,
        2.9526293990484116,
        2.952641683517116,
        2.9526539679858206,
        2.952666252454525,
        2.9526785369232287,
        2.952690821391933,
        2.9527031058606372,
        2.9527153903293417,
        2.9527276747980458,
        2.9527399592667503,
        2.9527522437354543,
        2.952764528204159,
        2.952776812672863,
        2.9527890971415673,
        2.9528013816102714,
        2.952813666078976,
        2.95282595054768,
        2.9528382350163844,
        2.9528505194850885,
        2.9528628039537925,
        2.9528750884224966,
        2.952887372891201,
        2.9528996573599056,
        2.95291194182861,
        2.952924226297314,
        2.9529365107660186,
        2.952948795234722,
        2.9529610797034267,
        2.9529733641721307,
        2.9529856486408352,
        2.9529979331095393,
        2.953010217578244,
        2.9530225020469483,
        2.9530347865156523,
        2.9530470709843564,
        2.953059355453061,
        2.953071639921765,
        2.9530839243904694,
        2.9530962088591735,
        2.953108493327878,
        2.9531207777965816,
        2.953133062265286,
        2.9531453467339905,
        2.953157631202695,
        2.953169915671399,
        2.9531822001401036,
        2.9531944846088076,
        2.9532067690775117,
        2.9532190535462157,
        2.95323133801492,
        2.9532436224836243,
        2.9532559069523288,
        2.9532681914210333,
        2.9532804758897377,
        2.9532927603584413,
        2.953305044827146,
        2.95331732929585,
        2.9533296137645544,
        2.9535507342012313,
        2.9537227167630897,
        2.9542140955112606,
        2.9542263799799646,
        2.954238664448669,
        2.954250948917373,
        2.9542632333860777,
        2.9542755178547817,
        2.954287802323486,
        2.9543000867921902,
        2.9543123712608947,
        2.9543246557295983,
        2.954336940198303,
        2.954349224667007,
        2.954361509135712,
        2.954373793604416,
        2.9543860780731204,
        2.9552459908824176,
        2.955258275351122,
        2.955270559819826,
        2.95528284428853,
        2.955295128757234,
        2.9553074132259387,
        2.9553196976946428,
        2.9553319821633472,
        2.9553442666320517,
        2.9553565511007562,
        2.955417973444277,
        2.9554302579129814,
        2.9554425423816855,
        2.9554548268503895,
        2.955467111319094,
        2.9554793957877985,
        2.9554916802565026,
        2.955503964725207,
        2.955516249193911,
        2.9555285336626156,
        2.955540818131319,
        2.9555531026000237,
        2.9555653870687277,
        2.9555776715374322,
        2.9555899560061367,
        2.955602240474841,
        2.9556145249435453,
        2.9556268094122493,
        2.9556390938809534,
        2.955651378349658,
        2.955663662818362,
        2.9556759472870664,
        2.9556882317557704,
        2.955700516224475,
        2.955712800693179,
        2.9557250851618835,
        2.9557373696305875,
        2.955749654099292,
        2.955761938567996,
        2.955761938567996,
        2.956253317316166,
        2.9563147396596876,
        2.9563270241283917,
        2.956339308597096,
        2.9563515930658,
        2.9563638775345047,
        2.9563761620032087,
        2.9563884464719132,
        2.956400730940617,
        2.9564130154093213,
        2.9564252998780254,
        2.9564375843467303,
        2.9564498688154344,
        2.956462153284139,
        2.956474437752843,
        2.956486722221547,
        2.956499006690251,
        2.9565112911589555,
        2.9565235756276596,
        2.956535860096364,
        2.956548144565068,
        2.956560429033773,
        2.9565727135024766,
        2.956584997971181,
        2.956597282439885,
        2.9566095669085897,
        2.9566218513772937,
        2.956634135845998,
        2.9566464203147023,
        2.9566587047834063,
        2.9566709892521104,
        2.9566832737208153,
        2.9566955581895193,
        2.956707842658224,
        2.956720127126928,
        2.9567324115956324,
        2.9567446960643364,
        2.9567569805330405,
        2.9567692650017445,
        2.956781549470449,
        2.956793833939153,
        2.956806118407858,
        2.956818402876562,
        2.956830687345266,
        2.95684297181397,
        2.9568552562826746,
        2.9568675407513787,
        2.956879825220083,
        2.9568921096887872,
        2.9569043941574917,
        2.956916678626196,
        2.9569289630949003,
        2.9569412475636043,
        2.956953532032309,
        2.956965816501013,
        2.9569781009697174,
        2.9569903854384214,
        2.957002669907126,
        2.9570149543758295,
        2.957027238844534,
        2.957039523313238,
        2.957051807781943,
        2.957064092250647,
        2.9570763767193515,
        2.9570886611880556,
        2.9571009456567596,
        2.9571132301254637,
        2.957125514594168,
        2.957137799062872,
        2.9571500835315767,
        2.9571623680002808,
        2.9571746524689853,
        2.9571869369376893,
        2.9571992214063934,
        2.957211505875098,
        2.957223790343802,
        2.9572360748125064,
        2.957383488436957,
        2.9573957729056612,
        2.9574080573743657,
        2.9574203418430702,
        2.9574326263117747,
        2.9574449107804783,
        2.957457195249183,
        2.957469479717887,
        2.9574817641865914,
        2.9574940486552954,
        2.957506333124,
        2.957518617592704,
        2.957530902061408,
        2.9575431865301125,
        2.957555470998817,
        2.957567755467521,
        2.9575800399362255,
        2.9575923244049296,
        2.957604608873634,
        2.9576168933423377,
        2.957629177811042,
        2.9576414622797462,
        2.9576537467484507,
        2.957666031217155,
        2.9576783156858597,
        2.9576906001545638,
        2.957702884623268,
        2.957715169091972,
        2.9577274535606763,
        2.9577397380293804,
        2.957752022498085,
        2.957764306966789,
        2.9577765914354934,
        2.9577888759041975,
        2.957801160372902,
        2.957813444841606,
        2.9578257293103105,
        2.9578380137790146,
        2.957850298247719,
        2.957862582716423,
        2.957874867185127,
        2.957887151653831,
        2.9578994361225357,
        2.95791172059124,
        2.9579240050599447,
        2.9579362895286487,
        2.9579485739973532,
        2.957960858466057,
        2.9579731429347613,
        2.9579854274034654,
        2.95799771187217,
        2.958009996340874,
        2.958022280809579,
        2.9580284230439307,
        2.958034565278283,
        2.958046849746987,
        2.958059134215691,
        2.9580714186843955,
        2.9580837031530995,
        2.958095987621804,
        2.958108272090508,
        2.9581205565592126,
        2.958132841027916,
        2.958439952745523,
        2.9584522372142272,
        2.9584645216829317,
        2.9584768061516353,
        2.95848909062034,
        2.958501375089044,
        2.958513659557749,
        2.958525944026453,
        2.9585382284951574,
        2.9585505129638614,
        2.9585627974325654,
        2.9585750819012695,
        2.958587366369974,
        2.958599650838678,
        2.9586119353073825,
        2.9586242197760866,
        2.9586365042447915,
        2.9586487887134956,
        2.9586610731821996,
        2.9586733576509037,
        2.958685642119608,
        2.958697926588312,
        2.9587102110570167,
        2.9587224955257208,
        2.958734779994425,
        2.958747064463129,
        2.958759348931834,
        2.958771633400538,
        2.9587839178692423,
        2.9587962023379464,
        2.958808486806651,
        2.958820771275355,
        2.958833055744059,
        2.958845340212763,
        2.9588576246814675,
        2.9588699091501716,
        2.9588821936188765,
        2.9588944780875805,
        2.958906762556285,
        2.9589190470249886,
        2.958931331493693,
        2.958943615962397,
        2.9589559004311017,
        2.9589681848998057,
        2.9589804693685102,
        2.9589927538372143,
        2.9590050383059188,
        2.959017322774623,
        2.9590296072433273,
        2.9590418917120314,
        2.959054176180736,
        2.95906646064944,
        2.9590787451181444,
        2.959091029586848,
        2.9591033140555525,
        2.9591155985242565,
        2.9591278829929615,
        2.9591401674616655,
        2.95915245193037,
        2.959164736399074,
        2.959177020867778,
        2.959189305336482,
        2.9592015898051867,
        2.9592138742738907,
        2.959226158742595,
        2.9592323009769474,
        2.9592384432112993,
        2.959250727680004,
        2.959263012148708,
        2.9592752966174123,
        2.9592875810861163,
        2.959299865554821,
        2.959312150023525,
        2.9593244344922294,
        2.9593367189609334,
        2.9593490034296375,
        2.9593612878983415,
        2.9593735723670465,
        2.9593858568357505,
        2.959398141304455,
        2.9596069772724265,
        2.959619261741131,
        2.9596315462098355,
        2.9596438306785395,
        2.959656115147244,
        2.959692968553356,
        2.9597052530220607,
        2.9597175374907647,
        2.959729821959469,
        2.9597421064281737,
        2.959754390896878,
        2.9597666753655822,
        2.9597789598342863,
        2.9597912443029903,
        2.959803528771695,
        2.9598772355839205,
        2.9598895200526245,
        2.959901804521329,
        2.959914088990033,
        2.9599263734587375,
        2.9599386579274416,
        2.9599509423961456,
        2.9599632268648497,
        2.959975511333554,
        2.9599877958022587,
        2.960000080270963,
        2.9600123647396672,
        2.9600246492083717,
        2.9600369336770753,
        2.96004921814578,
        2.960061502614484,
        2.9600737870831884,
        2.9601352094267095,
        2.960147493895414,
        2.960159778364118,
        2.9601720628328225,
        2.9601843473015266,
        2.960196631770231,
        2.9602089162389347,
        2.960221200707639,
        2.9602334851763437,
        2.960245769645048,
        2.960258054113752,
        2.9602703385824567,
        2.9602826230511607,
        2.960294907519865,
        2.960307191988569,
        2.9603194764572733,
        2.9603317609259774,
        2.9603440453946823,
        2.9603563298633864,
        2.960368614332091,
        2.9603808988007945,
        2.960393183269499,
        2.960552881362654,
        2.9605651658313583,
        2.9605774503000624,
        2.9605897347687673,
        2.9606020192374713,
        2.960614303706176,
        2.96062658817488,
        2.960638872643584,
        2.960651157112288,
        2.9606634415809925,
        2.9606757260496965,
        2.960688010518401,
        2.960700294987105,
        2.96071257945581,
        2.960724863924514,
        2.960737148393218,
        2.960749432861922,
        2.9607617173306267,
        2.9607740017993307,
        2.960786286268035,
        2.9607985707367392,
        2.9608108552054433,
        2.960958268829895,
        2.960970553298599,
        2.9609828377673035,
        2.960995122236007,
        2.9610074067047116,
        2.9610196911734157,
        2.96103197564212,
        2.9610442601108242,
        2.9610565445795287,
        2.9610688290482328,
        2.9610811135169373,
        2.9610933979856413,
        2.961105682454346,
        2.96111796692305,
        2.9611302513917543,
        2.9611425358604584,
        2.961154820329163,
        2.9611671047978665,
        2.961179389266571,
        2.961191673735275,
        2.96120395820398,
        2.961216242672684,
        2.9612285271413885,
        2.9612408116100926,
        2.9612530960787966,
        2.9612653805475007,
        2.961277665016205,
        2.961289949484909,
        2.9613022339536137,
        2.9613145184223177,
        2.9613268028910227,
        2.9613390873597263,
        2.961351371828431,
        2.961363656297135,
        2.9613759407658393,
        2.9613882252345434,
        2.961400509703248,
        2.961412794171952,
        2.961425078640656,
        2.96143736310936,
        2.961449647578065,
        2.961461932046769,
        2.9614742165154735,
        2.9614865009841775,
        2.961498785452882,
        2.9615110699215856,
        2.96152335439029,
        2.961535638858994,
        2.9615479233276987,
        2.9615602077964027,
        2.9615724922651077,
        2.9615847767338117,
        2.9615970612025158,
        2.96160934567122,
        2.9616216301399243,
        2.9616339146086283,
        2.961646199077333,
        2.961658483546037,
        2.9616707680147414,
        2.961683052483445,
        2.96169533695215,
        2.961707621420854,
        2.9617199058895585,
        2.9617321903582625,
        2.961744474826967,
        2.961756759295671,
        2.961769043764375,
        2.961781328233079,
        2.9617936127017837,
        2.9618058971704877,
        2.9618181816391926,
        2.9618304661078967,
        2.961842750576601,
        2.961855035045305,
        2.9618673195140093,
        2.9618796039827133,
        2.961891888451418,
        2.961904172920122,
        2.9619164573888264,
        2.9619287418575304,
        2.961941026326235,
        2.961953310794939,
        2.9619655952636434,
        2.9619778797323475,
        2.961990164201052,
        2.962002448669756,
        2.96201473313846,
        2.962027017607164,
        2.962039302075868,
        2.9620515865445727,
        2.962063871013277,
        2.9620761554819817,
        2.9620884399506857,
        2.96210072441939,
        2.962113008888094,
        2.9621252933567983,
        2.9621375778255024,
        2.962149862294207,
        2.962162146762911,
        2.962174431231616,
        2.96218671570032,
        2.962199000169024,
        2.962211284637728,
        2.9622235691064325,
        2.9622358535751365,
        2.962248138043841,
        2.962260422512545,
        2.9622727069812496,
        2.962284991449953,
        2.9622972759186577,
        2.962309560387362,
        2.9623218448560666,
        2.9623341293247707,
        2.962346413793475,
        2.9623586982621792,
        2.9623709827308833,
        2.9623832671995873,
        2.962395551668292,
        2.962407836136996,
        2.962420120605701,
        2.962432405074405,
        2.9624446895431094,
        2.962456974011813,
        2.9624692584805175,
        2.9624815429492215,
        2.962493827417926,
        2.96250611188663,
        2.9625183963553345,
        2.9625306808240386,
        2.9626166721049687,
        2.9626289565736723,
        2.962641241042377,
        2.962653525511081,
        2.962665809979786,
        2.96267809444849,
        2.9626903789171943,
        2.9627026633858984,
        2.9627149478546024,
        2.9627272323233065,
        2.962739516792011,
        2.962751801260715,
        2.9627640857294195,
        2.9627763701981236,
        2.9627886546668285,
        2.9628009391355326,
        2.9628132236042366,
        2.9628255080729407,
        2.962837792541645,
        2.962850077010349,
        2.9628623614790537,
        2.9628746459477577,
        2.962886930416462,
        2.962899214885166,
        2.9629114993538708,
        2.962923783822575,
        2.9629360682912793,
        2.9629483527599834,
        2.962960637228688,
        2.962972921697392,
        2.962985206166096,
        2.9629974906348,
        2.9630097751035045,
        2.9630220595722085,
        2.9630343440409135,
        2.9630466285096175,
        2.963058912978322,
        2.9630711974470256,
        2.96308348191573,
        2.963095766384434,
        2.9631080508531387,
        2.96311419308749,
        2.9631203353218427,
        2.963132619790547,
        2.9631449042592513,
        2.9631571887279557,
        2.96316947319666,
        2.9631817576653643,
        2.9631940421340683,
        2.963206326602773,
        2.963218611071477,
        2.9632308955401814,
        2.963243180008885,
        2.9632554644775895,
        2.9632677489462935,
        2.9632800334149985,
        2.9635134383203785,
        2.9635257227890834,
        2.9635380072577875,
        2.963550291726492,
        2.963562576195196,
        2.9635748606639005,
        2.963587145132604,
        2.9635994296013086,
        2.9636117140700127,
        2.963623998538717,
        2.963636283007421,
        2.963648567476126,
        2.96366085194483,
        2.9636731364135342,
        2.9636854208822383,
        2.963697705350943,
        2.963709989819647,
        2.9637222742883513,
        2.9637345587570554,
        2.96374684322576,
        2.9637591276944635,
        2.9637714121631684,
        2.9637836966318725,
        2.963795981100577,
        2.963808265569281,
        2.9638205500379855,
        2.9638328345066896,
        2.9638451189753936,
        2.9638574034440976,
        2.963869687912802,
        2.963881972381506,
        2.963894256850211,
        2.963906541318915,
        2.9639188257876197,
        2.9639311102563233,
        2.9639433947250278,
        2.963955679193732,
        2.9639679636624363,
        2.9639802481311404,
        2.963992532599845,
        2.964004817068549,
        2.9640171015372534,
        2.9640293860059574,
        2.964041670474662,
        2.964053954943366,
        2.9640662394120705,
        2.9640785238807745,
        2.964090808349479,
        2.9641030928181826,
        2.964115377286887,
        2.964127661755591,
        2.964139946224296,
        2.964152230693,
        2.9641645151617046,
        2.9641767996304087,
        2.9641890840991127,
        2.964201368567817,
        2.9642136530365213,
        2.9642259375052253,
        2.96423822197393,
        2.9642505064426343,
        2.964262790911339,
        2.9642750753800424,
        2.964287359848747,
        2.964299644317451,
        2.9643119287861555,
        2.9643242132548595,
        2.964336497723564,
        2.964348782192268,
        2.964361066660972,
        2.964373351129676,
        2.964385635598381,
        2.964397920067085,
        2.9644102045357896,
        2.9644224890044937,
        2.9644347734731977,
        2.9644470579419018,
        2.964459342410606,
        2.9644716268793103,
        2.9644839113480144,
        2.9644961958167193,
        2.9645084802854234,
        2.964520764754128,
        2.9645330492228315,
        2.964545333691536,
        2.96455761816024,
        2.9645699026289445,
        2.9645821870976485,
        2.964594471566353,
        2.964606756035057,
        2.9646190405037616,
        2.9646313249724656,
        2.96464360944117,
        2.964655893909874,
        2.9646681783785787,
        2.9646804628472827,
        2.964692747315987,
        2.9647050317846912,
        2.9647173162533953,
        2.9647296007220993,
        2.9647418851908043,
        2.9647541696595083,
        2.964766454128213,
        2.964778738596917,
        2.964791023065621,
        2.964803307534325,
        2.9648155920030295,
        2.9648278764717335,
        2.964840160940438,
        2.964852445409142,
        2.964864729877847,
        2.964877014346551,
        2.964889298815255,
        2.964901583283959,
        2.9649138677526636,
        2.9649261522213677,
        2.964938436690072,
        2.9649507211587762,
        2.9649630056274807,
        2.9649752900961843,
        2.9649875745648893,
        2.9649998590335933,
        2.965012143502298,
        2.965024427971002,
        2.9650367124397063,
        2.9650489969084104,
        2.9650612813771144,
        2.9650735658458185,
        2.965085850314523,
        2.965098134783227,
        2.965110419251932,
        2.965122703720636,
        2.9651349881893405,
        2.965147272658044,
        2.9651595571267486,
        2.9651718415954527,
        2.965184126064157,
        2.965196410532861,
        2.9652086950015657,
        2.9652209794702697,
        2.9652332639389742,
        2.9652455484076783,
        2.965257832876383,
        2.965270117345087,
        2.9652824018137913,
        2.9652946862824954,
        2.9653069707512,
        2.9653192552199035,
        2.965331539688608,
        2.965343824157312,
        2.965356108626017,
        2.965368393094721,
        2.9653806775634255,
        2.9653929620321295,
        2.9654052465008336,
        2.9654175309695376,
        2.965429815438242,
        2.965442099906946,
        2.9654543843756507,
        2.9654666688443547,
        2.9654789533130597,
        2.9654912377817633,
        2.9655035222504678,
        2.965515806719172,
        2.9655280911878763,
        2.9655403756565804,
        2.965552660125285,
        2.965564944593989,
        2.965577229062693,
        2.965589513531397,
        2.965601798000102,
        2.965614082468806,
        2.9656263669375105,
        2.9656386514062145,
        2.965650935874919,
        2.9656632203436226,
        2.965675504812327,
        2.965687789281031,
        2.9657000737497357,
        2.9657123582184397,
        2.9657246426871446,
        2.9657369271558487,
        2.9657492116245527,
        2.965761496093257,
        2.9657737805619613,
        2.9657860650306653,
        2.96579834949937,
        2.965810633968074,
        2.9658229184367784,
        2.965835202905482,
        2.965847487374187,
        2.965859771842891,
        2.9658720563115955,
        2.9658843407802995,
        2.965896625249004,
        2.965908909717708,
        2.965921194186412,
        2.965933478655116,
        2.9659457631238206,
        2.9659580475925247,
        2.9659703320612296,
        2.9659826165299337,
        2.965994900998638,
        2.9660071854673418,
        2.9660194699360463,
        2.9660317544047503,
        2.966044038873455,
        2.966056323342159,
        2.9660686078108633,
        2.9660808922795674,
        2.966093176748272,
        2.966105461216976,
        2.9661177456856804,
        2.9661300301543845,
        2.966142314623089,
        2.966154599091793,
        2.9661668835604975,
        2.966179168029201,
        2.9661914524979056,
        2.9662037369666097,
        2.9662160214353146,
        2.9662283059040186,
        2.966240590372723,
        2.966252874841427,
        2.9662651593101312,
        2.9662774437788353,
        2.96628972824754,
        2.966302012716244,
        2.9663142971849483,
        2.966326581653653,
        2.9663388661223573,
        2.966351150591061,
        2.9663634350597654,
        2.9663757195284695,
        2.966388003997174,
        2.966400288465878,
        2.9664125729345825,
        2.9664248574032865,
        2.9664371418719906,
        2.9664494263406946,
        2.9664617108093996,
        2.9664739952781036,
        2.966486279746808,
        2.966498564215512,
        2.9665108486842167,
        2.9666705467773715,
        2.966682831246076,
        2.96669511571478,
        2.9667074001834846,
        2.9667196846521886,
        2.966731969120893,
        2.966744253589597,
        2.9667565380583016,
        2.9667688225270057,
        2.96678110699571,
        2.966793391464414,
        2.9668056759331183,
        2.9668179604018228,
        2.9668302448705273,
        2.9668425293392313,
        2.9668548138079354,
        2.9668670982766394,
        2.9668793827453435,
        2.966891667214048,
        2.966903951682752,
        2.9669162361514565,
        2.9669285206201605,
        2.9669408050888655,
        2.9669530895575695,
        2.9669653740262736,
        2.9669776584949776,
        2.966989942963682,
        2.967002227432386,
        2.9670145119010907,
        2.9670267963697947,
        2.967039080838499,
        2.967051365307203,
        2.9670636497759078,
        2.967075934244612,
        2.9670882187133163,
        2.9671005031820203,
        2.967112787650725,
        2.967125072119429,
        2.967137356588133,
        2.967149641056837,
        2.9671619255255415,
        2.9671742099942455,
        2.9671864944629505,
        2.9671987789316545,
        2.967211063400359,
        2.9672233478690626,
        2.967235632337767,
        2.967247916806471,
        2.9672602012751756,
        2.9672724857438797,
        2.967284770212584,
        2.9672970546812882,
        2.9673093391499927,
        2.967321623618697,
        2.9673339080874013,
        2.9673461925561053,
        2.96735847702481,
        2.967370761493514,
        2.9673830459622184,
        2.967395330430922,
        2.9674076148996265,
        2.9674198993683305,
        2.9674321838370354,
        2.9674444683057395,
        2.967456752774444,
        2.967469037243148,
        2.967481321711852,
        2.967493606180556,
        2.9675058906492606,
        2.9675181751179647,
        2.967530459586669,
        2.967542744055373,
        2.967555028524078,
        2.9675673129927818,
        2.9675795974614863,
        2.9675918819301903,
        2.967604166398895,
        2.967616450867599,
        2.9676287353363033,
        2.9676410198050074,
        2.9676533042737114,
        2.9676655887424155,
        2.9676778732111204,
        2.9676901576798245,
        2.967702442148529,
        2.967714726617233,
        2.9677515800233456,
        2.9677638644920497,
        2.967776148960754,
        2.967788433429458,
        2.967800717898163,
        2.967813002366867,
        2.9678252868355712,
        2.9678375713042753,
        2.9678498557729798,
        2.967862140241684,
        2.9678744247103883,
        2.9678867091790924,
        2.967898993647797,
        2.9679112781165005,
        2.9679235625852054,
        2.9679358470539094,
        2.967948131522614,
        2.967960415991318,
        2.9679727004600225,
        2.9679849849287265,
        2.9679972693974306,
        2.9680095538661346,
        2.968021838334839,
        2.968034122803543,
        2.968046407272248,
        2.968058691740952,
        2.9680709762096567,
        2.9680832606783603,
        2.9680955451470648,
        2.968107829615769,
        2.9681201140844733,
        2.9681323985531773,
        2.9681446830218814,
        2.968144683021882,
        2.968156967490586,
        2.9687220530509815,
        2.968734337519686,
        2.96874662198839,
        2.9687589064570945,
        2.9687711909257986,
        2.968783475394503,
        2.968795759863207,
        2.9688080443319116,
        2.9688203288006156,
        2.96883261326932,
        2.968844897738024,
        2.9688571822067287,
        2.9688694666754323,
        2.9688817511441368,
        2.9688940356128413,
        2.9689063200815458,
        2.96891860455025,
        2.9689308890189543,
        2.968943173487658,
        2.9689554579563624,
        2.9689677424250664,
        2.968980026893771,
        2.968992311362475,
        2.9690045958311795,
        2.969016880299884,
        2.9690291647685885,
        2.969041449237292,
        2.9690537337059966,
        2.9690660181747006,
        2.969078302643405,
        2.969090587112109,
        2.9691028715808137,
        2.9691151560495177,
        2.9691274405182217,
        2.9691397249869262,
        2.9691520094556307,
        2.969164293924335,
        2.9691765783930393,
        2.9691888628617433,
        2.969201147330448,
        2.9692134317991514,
        2.969225716267856,
        2.96923800073656,
        2.9692502852052645,
        2.969262569673969,
        2.969274854142673,
        2.9692871386113775,
        2.969299423080081,
        2.9693117075487856,
        2.969311707548786,
        2.9693239920174896,
        2.969336276486194,
        2.9699013620465897,
        2.9699136465152938,
        2.9699259309839983,
        2.9699382154527023,
        2.969950499921407,
        2.969962784390111,
        2.9699750688588153,
        2.969987353327519,
        2.969999637796224,
        2.970011922264928,
        2.9700242067336324,
        2.9700364912023365,
        2.970048775671041,
        2.970061060139745,
        2.970073344608449,
        2.970085629077153,
        2.9700979135458576,
        2.9701101980145617,
        2.9701224824832666,
        2.9701347669519707,
        2.970147051420675,
        2.9701593358893787,
        2.9701716203580832,
        2.9701839048267873,
        2.970196189295492,
        2.970208473764196,
        2.9702207582329003,
        2.9702330427016044,
        2.970245327170309,
        2.970257611639013,
        2.970257611639013,
        2.9702698961077174,
        2.9702821805764215,
        2.970294465045126,
        2.97030674951383,
        2.9703190339825345,
        2.970331318451238,
        2.9703436029199426,
        2.9703558873886466,
        2.9703681718573516,
        2.9703804563260556,
        2.97039274079476,
        2.970405025263464,
        2.970417309732168,
        2.9704295942008723,
        2.9706568568719014,
        2.9707244214497748,
        2.9707367059184793,
        2.9707489903871833,
        2.970761274855888,
        2.9707735593245914,
        2.970785843793296,
        2.970798128262,
        2.970902546245986,
        2.9717194634148187,
        2.9717317478835232,
        2.9717440323522273,
        2.9717563168209318,
        2.971768601289636,
        2.9717808857583403,
        2.9717931702270444,
        2.9718054546957484,
        2.9718177391644525,
        2.9718300236331574,
        2.9718423081018615,
        2.971854592570566,
        2.9729724792226526,
        2.972984763691357,
        2.972997048160061,
        2.9730093326287657,
        2.9730216170974693,
        2.9730339015661738,
        2.9730461860348782,
        2.9730584705035827,
        2.973070754972287,
        2.9730830394409913,
        2.973095323909695,
        2.9731076083783994,
        2.9731198928471034,
        2.973132177315808,
        2.973144461784512,
        2.9731567462532165,
        2.973169030721921,
        2.9731813151906255,
        2.973193599659329,
        2.9732058841280335,
        2.9732181685967376,
        2.973230453065442,
        2.973242737534146,
        2.9732550220028506,
        2.9732673064715547,
        2.9732795909402587,
        2.9732918754089632,
        2.9733041598776677,
        2.9733164443463718,
        2.9733287288150763,
        2.9733410132837803,
        2.973353297752485,
        2.9733655822211884,
        2.973377866689893,
        2.973390151158597,
        2.9734024356273014,
        2.973414720096006,
        2.9734270045647104,
        2.9734392890334145,
        2.9734515735021185,
        2.9734638579708226,
        2.973476142439527,
        2.973488426908231,
        2.9735007113769356,
        2.9735129958456397,
        2.973525280314344,
        2.973537564783048,
        2.9735498492517527,
        2.9735621337204567,
        2.9735744181891612,
        2.9735867026578653,
        2.97359898712657,
        2.973611271595274,
        2.973623556063978,
        2.973635840532682,
        2.9736481250013864,
        2.973660409470091,
        2.9736726939387954,
        2.9738323920319503,
        2.9738446765006548,
        2.973856960969359,
        2.9738692454380633,
        2.973881529906767,
        2.9738938143754714,
        2.973906098844176,
        2.9739183833128804,
        2.9739306677815844,
        2.973942952250289,
        2.973955236718993,
        2.973967521187697,
        2.973979805656401,
        2.9739920901251056,
        2.9740043745938096,
        2.974016659062514,
        2.9740289435312186,
        2.974041227999923,
        2.9740535124686267,
        2.974065796937331,
        2.9740780814060352,
        2.9740903658747397,
        2.974102650343444,
        2.974114934812148,
        2.9741272192808523,
        2.974139503749556,
        2.974151788218261,
        2.974200926093078,
        2.975257390401644,
        2.9752696748703475,
        2.975281959339052,
        2.975294243807756,
        2.9753065282764606,
        2.9753188127451646,
        2.975331097213869,
        2.975343381682573,
        2.9753556661512772,
        2.9753679506199817,
        2.975380235088686,
        2.9753925195573903,
        2.9754048040260948,
        2.975417088494799,
        2.9754293729635033,
        2.975441657432207,
        2.9754539419009114,
        2.9754662263696154,
        2.97547851083832,
        2.9754907953070244,
        2.975503079775729,
        2.975515364244433,
        2.975527648713137,
        2.975539933181841,
        2.9755522176505456,
        2.9755645021192496,
        2.975576786587954,
        2.975589071056658,
        2.9756013555253626,
        2.9756136399940667,
        2.975625924462771,
        2.9756382089314752,
        2.9756504934001797,
        2.975662777868884,
        2.9756750623375883,
        2.9756873468062923,
        2.9756996312749964,
        2.9757119157437004,
        2.975724200212405,
        2.9757364846811094,
        2.975748769149814,
        2.975761053618518,
        2.9757733380872224,
        2.975785622555926,
        2.9757979070246305,
        2.9758101914933346,
        2.975822475962039,
        2.9758286181963918,
        2.975834760430743,
        2.9758470448994476,
        2.975859329368152,
        2.975871613836856,
        2.97588389830556,
        2.9758961827742647,
        2.9759084672429688,
        2.9759207517116733,
        2.9759330361803773,
        2.975945320649082,
        2.9759576051177854,
        2.97596988958649,
        2.9759821740551944,
        2.975994458523899,
        2.976006742992603,
        2.9760190274613074,
        2.9760313119300115,
        2.9760435963987155,
        2.97611116097659,
        2.976350708116322,
        2.9763629925850266,
        2.9763752770537306,
        2.9763875615224347,
        2.9763998459911387,
        2.976412130459843,
        2.9764244149285473,
        2.9764366993972518,
        2.976448983865956,
        2.9764612683346603,
        2.9764735528033643,
        2.976485837272069,
        2.976498121740773,
        2.9765104062094774,
        2.9765226906781814,
        2.9765349751468855,
        2.97654725961559,
        2.9765595440842936,
        2.976571828552998,
        2.976584113021702,
        2.9769649315515347,
        2.976977216020239,
        2.9769895004889433,
        2.977001784957647,
        2.9770140694263514,
        2.9770263538950554,
        2.97703863836376,
        2.977050922832464,
        2.9770632073011685,
        2.9770754917698725,
        2.977087776238577,
        2.977100060707281,
        2.9771123451759856,
        2.9771246296446896,
        2.977136914113394,
        2.977149198582098,
        2.9771614830508026,
        2.9771737675195062,
        2.9771860519882107,
        2.9771983364569152,
        2.9772106209256197,
        2.9772229053943238,
        2.9772351898630283,
        2.9772474743317323,
        2.9772597588004364,
        2.9772720432691404,
        2.977284327737845,
        2.977296612206549,
        2.9773088966752534,
        2.977321181143958,
        2.9773334656126624,
        2.977345750081366,
        2.9773580345500705,
        2.9773703190187746,
        2.977382603487479,
        2.977394887956183,
        2.9774071724248876,
        2.9774194568935917,
        2.9774317413622957,
        2.977444025831,
        2.9774563102997047,
        2.9774685947684087,
        2.9774808792371132,
        2.9774931637058173,
        2.977505448174522,
        2.9775177326432254,
        2.97753001711193,
        2.977542301580634,
        2.9775545860493384,
        2.977566870518043,
        2.9775791549867474,
        2.9775914394554515,
        2.9776037239241555,
        2.9776160083928596,
        2.977628292861564,
        2.977640577330268,
        2.9776528617989726,
        2.9776651462676766,
        2.977677430736381,
        2.977689715205085,
        2.9777019996737897,
        2.9777142841424937,
        2.977726568611198,
        2.9777388530799023,
        2.9777511375486068,
        2.977763422017311,
        2.977775706486015,
        2.977787990954719,
        2.9778002754234234,
        2.977812559892128,
        2.9778248443608324,
        2.9778371288295364,
        2.977849413298241,
        2.977923120110466,
        2.9779354045791706,
        2.9779476890478747,
        2.9779599735165787,
        2.977972257985283,
        2.9779845424539872,
        2.9779968269226917,
        2.978009111391396,
        2.9780213958601003,
        2.978033680328804,
        2.9780459647975084,
        2.978058249266213,
        2.9780705337349174,
        2.9780828182036214,
        2.978095102672326,
        2.97810738714103,
        2.978119671609734,
        2.978131956078438,
        2.9781442405471426,
        2.9781565250158466,
        2.978168809484551,
        2.9781810939532556,
        2.97819337842196,
        2.9782056628906637,
        2.978217947359368,
        2.9782302318280722,
        2.9782425162967767,
        2.9782548007654808,
        2.9782670852341853,
        2.9782793697028893,
        2.9782916541715934,
        2.978303938640298,
        2.9783162231090023,
        2.9783285075777064,
        2.978340792046411,
        2.978353076515115,
        2.9783653609838194,
        2.978377645452523,
        2.9783899299212275,
        2.9784022143899316,
        2.978414498858636,
        2.9784267833273406,
        2.978439067796045,
        2.978451352264749,
        2.978463636733453,
        2.9785619124830873,
        2.9785741969517914,
        2.978586481420496,
        2.9785987658892,
        2.9786110503579044,
        2.978623334826608,
        2.9786233348266085,
        2.9786356192953125,
        2.9786479037640166,
        2.978660188232721,
        2.9786724727014255,
        2.97868475717013,
        2.978697041638834,
        2.9790655756999618,
        2.979507816573314,
        2.9795201010420187,
        2.979532385510723,
        2.9795446699794272,
        2.9795569544481317,
        2.979569238916836,
        2.9795815233855403,
        2.979593807854244,
        2.9796060923229484,
        2.9796183767916524,
        2.979630661260357,
        2.9796429457290614,
        2.979655230197766,
        2.97966751466647,
        2.979679799135174,
        2.979692083603878,
        2.9797043680725825,
        2.9797166525412866,
        2.979728937009991,
        2.979741221478695,
        2.9797535059473996,
        2.9797657904161037,
        2.979778074884808,
        2.979790359353512,
        2.9798026438222167,
        2.9798149282909208,
        2.980699410037627,
        2.980711694506331,
        2.980723978975035,
        2.9807362634437395,
        2.980748547912444,
        2.9807608323811485,
        2.9807731168498526,
        2.980785401318557,
        2.980797685787261,
        2.980809970255965,
        2.980822254724669,
        2.9808345391933737,
        2.9808468236620778,
        2.9808591081307827,
        2.9808713925994867,
        2.980883677068191,
        2.980895961536895,
        2.9809082460055993,
        2.9809205304743034,
        2.980932814943008,
        2.980945099411712,
        2.9809573838804164,
        2.9809696683491205,
        2.9809819528178245,
        2.980994237286529,
        2.9810065217552335,
        2.9810188062239376,
        2.981031090692642,
        2.981043375161346,
        2.98105565963005,
        2.981067944098754,
        2.9810802285674587,
        2.9810925130361627,
        2.9811047975048677,
        2.9811170819735717,
        2.981129366442276,
        2.9811416509109803,
        2.9813013490041356,
        2.9813136334728396,
        2.9813259179415437,
        2.9813382024102477,
        2.981350486878952,
        2.9813627713476567,
        2.9813750558163608,
        2.9813873402850652,
        2.9813996247537693,
        2.9814119092224733,
        2.9814241936911774,
        2.981436478159882,
        2.981448762628586,
        2.9814610470972904,
        2.981473331565995,
        2.9814856160346994,
        2.981497900503403,
        2.9815101849721075,
        2.9815224694408116,
        2.9815347539095156,
        2.981534753909516,
        2.98154703837822,
        2.981553180612573,
        2.9815593228469246,
        2.9815716073156286,
        2.9815838917843327,
        2.981596176253037,
        2.9816084607217417,
        2.9816207451904457,
        2.9816330296591502,
        2.9816453141278543,
        2.9816575985965588,
        2.9816698830652624,
        2.981682167533967,
        2.981694452002671,
        2.9817067364713754,
        2.98171902094008,
        2.9817313054087844,
        2.9817435898774884,
        2.9817558743461925,
        2.9817681588148965,
        2.9821735462821373,
        2.982185830750841,
        2.9821981152195454,
        2.98221039968825,
        2.9822226841569544,
        2.9822349686256584,
        2.982247253094363,
        2.9824438045936303,
        2.982456089062335,
        2.9824683735310393,
        2.9824806579997434,
        2.982492942468448,
        2.982505226937152,
        2.9825175114058564,
        2.98252979587456,
        2.9825420803432645,
        2.9825543648119686,
        2.982566649280673,
        2.9825789337493775,
        2.982591218218082,
        2.982603502686786,
        2.98261578715549,
        2.982628071624194,
        2.9826403560928987,
        2.9826526405616027,
        2.9826649250303072,
        2.9826772094990113,
        2.9826894939677158,
        2.98270177843642,
        2.9827140629051243,
        2.9827263473738284,
        2.982738631842533,
        2.982750916311237,
        2.9827632007799414,
        2.9827754852486454,
        2.9827816274829972,
        2.9827877697173495,
        2.9828000541860535,
        2.982812338654758,
        2.9828246231234625,
        2.982836907592167,
        2.982849192060871,
        2.9828614765295756,
        2.982873760998279,
        2.9828860454669837,
        2.9828983299356877,
        2.982910614404392,
        2.9829228988730963,
        2.982935183341801,
        2.9829474678105052,
        2.9829597522792093,
        2.9829720367479133,
        2.982984321216618,
        2.982996605685322,
        2.9830088901540264,
        2.9830211746227304,
        2.983033459091435,
        2.983045743560139,
        2.983058028028843,
        2.9830703124975475,
        2.983082596966252,
        2.983094881434956,
        2.9831071659036605,
        2.9831194503723646,
        2.983328286340337,
        2.983340570809041,
        2.9833528552777455,
        2.9833651397464496,
        2.983377424215154,
        2.983389708683858,
        2.983401993152562,
        2.983414277621266,
        2.983426562089971,
        2.983438846558675,
        2.9834511310273797,
        2.9834634154960837,
        2.9834756999647882,
        2.983487984433492,
        2.9835002689021963,
        2.9835125533709004,
        2.983524837839605,
        2.983537122308309,
        2.983549406777014,
        2.983561691245718,
        2.983573975714422,
        2.983586260183126,
        2.9835985446518305,
        2.9836108291205345,
        2.983623113589239,
        2.983635398057943,
        2.983641540292295,
        2.9836476825266476,
        2.983659966995351,
        2.983672251464056,
        2.98368453593276,
        2.9836968204014647,
        2.9837091048701687,
        2.983721389338873,
        2.9837336738075773,
        2.9837459582762813,
        2.9837582427449854,
        2.9837705272136894,
        2.983782811682394,
        2.9837950961510984,
        2.983807380619803,
        2.983819665088507,
        2.983831949557211,
        2.983844234025915,
        2.9838565184946195,
        2.9838688029633236,
        2.983881087432028,
        2.983893371900732,
        2.9839056563694366,
        2.9839179408381407,
        2.983930225306845,
        2.983942509775549,
        2.9839547942442537,
        2.9842373370244513,
        2.9842496214931558,
        2.9842619059618594,
        2.984274190430564,
        2.9842864748992683,
        2.984298759367973,
        2.984311043836677,
        2.9843233283053814,
        2.9843356127740854,
        2.9843478972427895,
        2.9843601817114935,
        2.984372466180198,
        2.984384750648902,
        2.9843970351176066,
        2.984409319586311,
        2.9844216040550156,
        2.984433888523719,
        2.9844461729924237,
        2.9844584574611277,
        2.984470741929832,
        2.9844830263985362,
        2.9844953108672407,
        2.984507595335945,
        2.984519879804649,
        2.9845321642733533,
        2.984544448742058,
        2.984556733210762,
        2.9845690176794664,
        2.9845813021481704,
        2.984593586616875,
        2.984605871085579,
        2.984618155554283,
        2.984630440022987,
        2.9846427244916915,
        2.984655008960396,
        2.9846672934291005,
        2.9846795778978046,
        2.9846918623665086,
        2.9847041468352127,
        2.984716431303917,
        2.984728715772621,
        2.9847410002413257,
        2.9847532847100298,
        2.9847655691787343,
        2.9847778536474388,
        2.984790138116143,
        2.984802422584847,
        2.9848147070535513,
        2.9848269915222554,
        2.98483927599096,
        2.984851560459664,
        2.984863844928368,
        2.984876129397072,
        2.9848884138657765,
        2.984900698334481,
        2.9849129828031855,
        2.9849252672718896,
        2.984937551740594,
        2.984949836209298,
        2.984962120678002,
        2.984974405146706,
        2.9849866896154107,
        2.9849989740841147,
        2.9850112585528197,
        2.9850235430215237,
        2.9850358274902278,
        2.985048111958932,
        2.9850603964276363,
        2.9850726808963404,
        2.985084965365045,
        2.985097249833749,
        2.9851095343024534,
        2.9851218187711575,
        2.9851341032398615,
        2.985146387708566,
        2.9851586721772705,
        2.9851709566459745,
        2.985183241114679,
        2.985195525583383,
        2.985207810052087,
        2.985220094520791,
        2.9852323789894957,
        2.9852446634581997,
        2.9852569479269047,
        2.9852692323956087,
        2.985281516864313,
        2.9852938013330172,
        2.985392077082651,
        2.9854043615513555,
        2.9854166460200595,
        2.985428930488764,
        2.985441214957468,
        2.9854534994261726,
        2.9854657838948766,
        2.9854780683635807,
        2.9854903528322847,
        2.9855026373009896,
        2.9855149217696937,
        2.985527206238398,
        2.9855394907071022,
        2.9855517751758067,
        2.9855640596445103,
        2.985576344113215,
        2.985588628581919,
        2.9856009130506234,
        2.9856131975193274,
        2.9856254819880323,
        2.9856377664567364,
        2.9856500509254404,
        2.9856623353941445,
        2.985674619862849,
        2.985686904331553,
        2.9856991888002575,
        2.9857114732689616,
        2.985723757737666,
        2.9857360422063697,
        2.9857483266750746,
        2.9857606111437787,
        2.985772895612483,
        2.985785180081187,
        2.9857974645498917,
        2.9858097490185957,
        2.9858220334873,
        2.985834317956004,
        2.9858466024247083,
        2.9858588868934124,
        2.9858711713621173,
        2.9858834558308214,
        2.985895740299526,
        2.9859080247682295,
        2.985920309236934,
        2.985932593705638,
        2.9859448781743425,
        2.9859571626430466,
        2.985969447111751,
        2.985981731580455,
        2.9859940160491596,
        2.9860063005178636,
        2.986018584986568,
        2.986030869455272,
        2.9860431539239767,
        2.9860554383926807,
        2.986067722861385,
        2.986080007330089,
        2.9860922917987933,
        2.9861045762674974,
        2.9861168607362023,
        2.9861291452049064,
        2.986141429673611,
        2.986153714142315,
        2.986165998611019,
        2.986178283079723,
        2.986190567548427,
        2.9862028520171315,
        2.9862151364858356,
        2.98622742095454,
        2.9862397054232446,
        2.9862519898919486,
        2.9862642743606527,
        2.986276558829357,
        2.986288843298061,
        2.9863011277667657,
        2.9863134122354698,
        2.9863256967041742,
        2.986337981172878,
        2.9863502656415823,
        2.986362550110287,
        2.9863748345789913,
        2.9863871190476954,
        2.9863994035164,
        2.986411687985104,
        2.986423972453808,
        2.986436256922512,
        2.9864485413912165,
        2.9864608258599206,
        2.986473110328625,
        2.9864853947973296,
        2.986497679266034,
        2.9865099637347376,
        2.986522248203442,
        2.986534532672146,
        2.9865468171408507,
        2.9866696618278934,
        2.986681946296597,
        2.9866942307653015,
        2.9867065152340055,
        2.98671879970271,
        2.9867310841714145,
        2.986743368640119,
        2.986755653108823,
        2.986767937577527,
        2.986780222046231,
        2.9867925065149357,
        2.9868047909836397,
        2.986817075452344,
        2.9868293599210483,
        2.9868416443897527,
        2.986853928858457,
        2.9868662133271613,
        2.9868784977958653,
        2.98689078226457,
        2.986903066733274,
        2.9869153512019784,
        2.9869276356706824,
        2.9869399201393865,
        2.9869522046080905,
        2.986964489076795,
        2.9869767735454995,
        2.986989058014204,
        2.987001342482908,
        2.9870136269516125,
        2.9870259114203166,
        2.9870381958890206,
        2.9870504803577247,
        2.987062764826429,
        2.9870750492951332,
        2.987087333763838,
        2.987099618232542,
        2.9871119027012467,
        2.9871241871699503,
        2.987136471638655,
        2.987148756107359,
        2.9871610405760634,
        2.9871733250447674,
        2.987185609513472,
        2.987197893982176,
        2.98721017845088,
        2.9872224629195845,
        2.987234747388289,
        2.987247031856993,
        2.9872593163256975,
        2.9872716007944016,
        2.987283885263106,
        2.9872961697318097,
        2.987308454200514,
        2.987320738669218,
        2.987333023137923,
        2.987345307606627,
        2.9873575920753317,
        2.9873698765440357,
        2.98738216101274,
        2.987394445481444,
        2.9874067299501483,
        2.9874190144188524,
        2.987431298887557,
        2.987443583356261,
        2.987455867824966,
        2.9874681522936695,
        2.987480436762374,
        2.987492721231078,
        2.9875050056997825,
        2.9875172901684866,
        2.987529574637191,
        2.987541859105895,
        2.987554143574599,
        2.987566428043303,
        2.987578712512008,
        2.987590996980712,
        2.9876032814494167,
        2.9876155659181207,
        2.987627850386825,
        2.987640134855529,
        2.9876524193242333,
        2.9876647037929374,
        2.987676988261642,
        2.987689272730346,
        2.987701557199051,
        2.987713841667755,
        2.987726126136459,
        2.987738410605163,
        2.9877506950738675,
        2.9877629795425715,
        2.987775264011276,
        2.98778754847998,
        2.9877998329486846,
        2.987812117417388,
        2.987824401886093,
        2.987836686354797,
        2.9878489708235016,
        2.9878612552922057,
        2.98787353976091,
        2.9878858242296142,
        2.9878981086983183,
        2.9879103931670223,
        2.987922677635727,
        2.987934962104431,
        2.987947246573136,
        2.98795953104184,
        2.9879718155105444,
        2.987984099979248,
        2.9879963844479525,
        2.9880086689166565,
        2.988020953385361,
        2.988033237854065,
        2.988119229134995,
        2.988131513603699,
        2.9881437980724037,
        2.9881560825411073,
        2.988168367009812,
        2.988180651478516,
        2.988192935947221,
        2.988205220415925,
        2.9882175048846293,
        2.9882297893533334,
        2.9882420738220374,
        2.9882543582907415,
        2.988266642759446,
        2.98827892722815,
        2.9882912116968545,
        2.9883034961655586,
        2.9883157806342635,
        2.988328065102967,
        2.9883403495716716,
        2.9883526340403757,
        2.9883587762747283,
        2.98836491850908,
        2.988377202977784,
        2.9883894874464887,
        2.9884017719151927,
        2.988414056383897,
        2.988426340852601,
        2.9884386253213058,
        2.98845090979001,
        2.9884631942587143,
        2.9884754787274184,
        2.988487763196123,
        2.9885000476648265,
        2.988512332133531,
        2.988524616602235,
        2.9885369010709395,
        2.9885491855396435,
        2.9885614700083485,
        2.9885737544770525,
        2.988586038945757,
        2.9885983234144606,
        2.9886106078831647,
        2.988622892351869,
        2.9886351768205732,
        2.9886474612892777,
        2.9886597457579818,
        2.988991426412997,
        2.989003710881701,
        2.989015995350405,
        2.989028279819109,
        2.9890405642878135,
        2.989052848756518,
        2.9890651332252225,
        2.9890774176939265,
        2.989089702162631,
        2.989101986631335,
        2.989114271100039,
        2.989126555568743,
        2.9891388400374477,
        2.9891511245061517,
        2.9891634089748567,
        2.9891756934435607,
        2.9891879779122648,
        2.989200262380969,
        2.9892125468496733,
        2.9892248313183774,
        2.989237115787082,
        2.989249400255786,
        2.9892616847244904,
        2.9892739691931944,
        2.9892862536618985,
        2.989298538130603,
        2.9893108225993075,
        2.9893231070680115,
        2.989335391536716,
        2.98934767600542,
        2.9893599604741246,
        2.989372244942828,
        2.9893845294115327,
        2.9893968138802367,
        2.9894090983489416,
        2.9894213828176457,
        2.98943366728635,
        2.9894459517550542,
        2.9894582362237583,
        2.9894705206924623,
        2.989482805161167,
        2.989495089629871,
        2.9895073740985754,
        2.9895196585672794,
        2.9895319430359844,
        2.989544227504688,
        2.9895565119733924,
        2.9895687964420965,
        2.989581080910801,
        2.989593365379505,
        2.9896056498482095,
        2.9896179343169136,
        2.9896302187856176,
        2.9896425032543217,
        2.9896547877230266,
        2.9896670721917307,
        2.989679356660435,
        2.989691641129139,
        2.9897039255978437,
        2.9897162100665473,
        2.989728494535252,
        2.989740779003956,
        2.9897530634726603,
        2.9897653479413644,
        2.9897776324100693,
        2.9897899168787734,
        2.9898022013474774,
        2.9898144858161815,
        2.989826770284886,
        2.98983905475359,
        2.9898513392222945,
        2.9898636236909986,
        2.989875908159703,
        2.9898881926284067,
        2.9899004770971116,
        2.9899127615658156,
        2.98992504603452,
        2.989937330503224,
        2.9899496149719287,
        2.9899618994406327
    ],
    "flux": [
        1.01263,
        1.00922,
        1.0146,
        0.992725,
        0.99967,
        1.00596,
        0.977137,
        1.00397,
        1.00945,
        0.995561,
        0.976004,
        0.98087,
        0.995319,
        0.995983,
        0.99377,
        1.00286,
        1.00642,
        1.00633,
        0.99206,
        0.983761,
        0.981336,
        0.982282,
        0.98335,
        0.978376,
        0.983161,
        0.989944,
        0.95118,
        0.954917,
        0.962084,
        0.972118,
        0.978,
        0.977746,
        0.981064,
        0.983422,
        0.971759,
        0.963219,
        0.975472,
        0.976688,
        0.972674,
        null,
        0.960352,
        0.966373,
        0.960778,
        0.986366,
        0.996181,
        0.98089,
        0.96671,
        0.966047,
        0.980167,
        0.974327,
        0.975549,
        0.967343,
        0.959008,
        0.956335,
        0.958391,
        0.96705,
        0.975985,
        0.971228,
        0.972084,
        0.98164,
        0.989629,
        0.991758,
        0.993261,
        0.984273,
        0.982072,
        0.982671,
        0.981002,
        0.981857,
        0.983848,
        0.985002,
        0.989903,
        1.00506,
        1.00941,
        0.991854,
        0.962412,
        0.945636,
        0.987741,
        0.966717,
        0.975707,
        0.98545,
        0.977308,
        0.974551,
        0.979102,
        0.979186,
        0.977273,
        0.978555,
        0.988165,
        0.989003,
        0.984921,
        0.980169,
        0.97999,
        0.971194,
        0.971135,
        0.972167,
        0.972107,
        0.975485,
        0.971753,
        0.973261,
        0.97603,
        0.977587,
        0.98569,
        0.989675,
        0.99231,
        0.997475,
        1.00564,
        0.968039,
        0.974699,
        0.987619,
        0.992163,
        0.984302,
        0.991295,
        1.00071,
        1.03843,
        null,
        0.962463,
        0.961486,
        0.963134,
        0.965949,
        0.967333,
        0.973773,
        0.978861,
        0.980724,
        0.981691,
        0.986699,
        0.988367,
        0.988825,
        0.994452,
        1.008,
        1.02776,
        0.96266,
        0.970965,
        0.979421,
        0.984289,
        0.989865,
        0.981297,
        0.980527,
        0.986637,
        0.987826,
        0.992902,
        0.984304,
        0.985339,
        0.989254,
        0.956486,
        0.942197,
        0.956037,
        0.956426,
        0.963879,
        0.970658,
        0.976823,
        0.987866,
        0.977458,
        0.971197,
        0.969883,
        0.97204,
        0.972803,
        0.978102,
        0.970045,
        0.963646,
        0.968295,
        0.966879,
        0.97655,
        0.983654,
        0.980996,
        0.966644,
        0.96755,
        0.964891,
        0.962674,
        0.961341,
        0.960059,
        0.964431,
        0.962261,
        0.96187,
        0.962956,
        0.957574,
        0.95743,
        0.955154,
        0.959449,
        0.967801,
        0.955367,
        0.952817,
        0.958984,
        0.964655,
        0.9633,
        0.961799,
        0.956507,
        0.957224,
        0.962165,
        0.967747,
        0.980866,
        0.975823,
        0.972493,
        0.973432,
        0.973008,
        0.969402,
        0.964642,
        0.968951,
        0.979303,
        0.979357,
        0.988448,
        0.989428,
        0.985832,
        0.993247,
        1.00244,
        0.998922,
        1.00227,
        0.976534,
        0.984678,
        0.980745,
        0.972425,
        0.96934,
        0.971428,
        0.973262,
        0.972217,
        0.969641,
        0.970153,
        0.969223,
        0.969412,
        0.972569,
        0.977527,
        0.982168,
        0.965712,
        0.960277,
        0.96578,
        0.97142,
        0.97512,
        0.976324,
        0.975446,
        0.974301,
        0.96965,
        0.969628,
        0.976245,
        0.984644,
        0.986785,
        0.978351,
        0.973521,
        0.976813,
        0.970038,
        0.961995,
        0.954112,
        0.962065,
        0.9885,
        0.983403,
        0.977721,
        0.973849,
        0.973326,
        0.976375,
        0.975329,
        0.972253,
        0.970777,
        0.971317,
        0.973011,
        0.97722,
        0.971203,
        0.968246,
        0.971215,
        0.976203,
        0.973913,
        0.974818,
        0.976409,
        0.977183,
        0.976695,
        0.977776,
        0.974737,
        0.975324,
        0.980119,
        0.972843,
        0.972011,
        0.973341,
        0.973,
        0.968866,
        0.963936,
        0.973167,
        0.9765,
        0.975969,
        0.977122,
        0.977334,
        0.97816,
        0.986409,
        1.0042,
        1.02809,
        1.00793,
        0.985706,
        0.973633,
        0.970733,
        0.968144,
        0.969842,
        0.970563,
        0.972538,
        0.973558,
        0.966637,
        0.967718,
        0.966008,
        0.965267,
        0.967315,
        0.970539,
        0.976625,
        0.979647,
        0.977324,
        0.970691,
        0.968785,
        0.974004,
        0.976049,
        0.97477,
        0.971452,
        0.965909,
        0.967516,
        0.969814,
        0.969838,
        0.966871,
        0.971611,
        0.971362,
        0.968611,
        0.968794,
        0.977275,
        0.973718,
        0.974121,
        0.970998,
        0.967079,
        0.971143,
        0.970515,
        0.971966,
        0.972344,
        0.970947,
        0.969322,
        0.973331,
        0.97531,
        0.975661,
        0.974274,
        0.969847,
        0.968705,
        0.972377,
        0.973898,
        0.971674,
        0.978258,
        0.976366,
        0.972726,
        0.972253,
        0.976802,
        0.978391,
        0.971181,
        0.97069,
        0.974066,
        0.976225,
        0.981137,
        0.983774,
        0.989416,
        0.993173,
        0.989941,
        1.00461,
        0.998072,
        0.949629,
        0.900352,
        0.920756,
        0.968773,
        0.982955,
        0.982936,
        0.980045,
        0.982197,
        0.986475,
        0.983057,
        0.981046,
        0.980159,
        0.969869,
        0.978629,
        0.981595,
        0.981289,
        0.983445,
        0.999074,
        0.982362,
        0.983238,
        0.978675,
        0.962108,
        0.97187,
        0.982616,
        0.982439,
        0.980892,
        0.984078,
        0.980306,
        0.981036,
        0.979679,
        0.975149,
        0.969886,
        0.979285,
        0.977398,
        0.96955,
        0.97328,
        1.00347,
        1.0314,
        1.0238,
        1.00192,
        0.984523,
        0.987675,
        0.981721,
        0.974585,
        0.973514,
        0.976674,
        0.977891,
        0.982073,
        0.987302,
        0.98854,
        0.984692,
        0.977275,
        0.979323,
        0.983517,
        0.98723,
        0.988881,
        0.987804,
        0.98643,
        0.987865,
        0.986949,
        0.985338,
        0.993854,
        0.975514,
        0.973948,
        0.981146,
        0.988239,
        0.986399,
        0.979265,
        null,
        0.978169,
        0.987645,
        0.991803,
        0.988004,
        0.980354,
        0.976631,
        0.976539,
        0.971601,
        0.979631,
        0.980844,
        0.972327,
        0.963706,
        0.9791,
        0.982989,
        0.986191,
        0.990505,
        0.992996,
        0.983067,
        0.980861,
        0.97838,
        0.977219,
        0.978474,
        0.981794,
        0.980466,
        0.985658,
        0.99352,
        0.999629,
        0.99901,
        0.990883,
        0.98809,
        0.987545,
        0.986481,
        0.987783,
        0.982653,
        0.981592,
        0.981449,
        0.978834,
        0.974507,
        0.984979,
        0.978759,
        0.975048,
        0.989409,
        0.996345,
        0.994503,
        0.988156,
        0.982286,
        0.981045,
        0.983449,
        0.984238,
        0.988741,
        0.993128,
        0.991532,
        0.978454,
        0.978146,
        0.985137,
        0.99004,
        0.984473,
        0.974147,
        0.98245,
        0.978544,
        0.970665,
        0.975222,
        0.982731,
        0.985407,
        0.980781,
        0.979505,
        0.991836,
        null,
        0.950604,
        0.960828,
        0.971097,
        0.963727,
        0.970089,
        0.988951,
        0.977545,
        0.953599,
        0.953583,
        0.959808,
        0.964341,
        0.973887,
        0.967033,
        0.97411,
        0.979262,
        0.976771,
        0.973353,
        0.982289,
        0.982285,
        0.980667,
        0.980769,
        0.980006,
        0.980987,
        0.977893,
        0.977218,
        0.980597,
        0.983738,
        0.988094,
        0.988044,
        0.987529,
        0.986358,
        0.978724,
        0.979314,
        0.974051,
        0.970148,
        0.972111,
        0.980141,
        0.973529,
        0.975053,
        0.980243,
        0.983427,
        0.977553,
        0.965816,
        0.967215,
        0.97031,
        0.969934,
        0.968473,
        0.969723,
        0.973371,
        0.976897,
        0.976869,
        0.968524,
        0.968088,
        0.972162,
        0.975049,
        0.974465,
        0.97152,
        0.969201,
        0.970845,
        0.975639,
        0.979409,
        0.974417,
        0.972293,
        0.973401,
        0.973914,
        0.971421,
        0.964929,
        0.973145,
        0.972009,
        0.966459,
        0.964132,
        0.975069,
        0.973447,
        0.97371,
        0.97268,
        0.973017,
        0.98161,
        0.974206,
        0.971935,
        0.972477,
        0.976654,
        0.986833,
        0.97858,
        0.977964,
        0.981694,
        0.983056,
        0.973043,
        0.966146,
        0.967049,
        0.96978,
        0.971296,
        0.970192,
        0.96547,
        0.969344,
        0.974207,
        0.974678,
        0.967727,
        0.971445,
        0.968208,
        0.965488,
        0.964573,
        0.963805,
        0.96371,
        0.965094,
        0.962352,
        0.94926,
        0.925669,
        0.959291,
        0.967753,
        0.970425,
        0.971232,
        0.968911,
        0.972963,
        0.97593,
        0.970751,
        0.963735,
        0.964214,
        0.966543,
        0.967085,
        0.97001,
        0.973487,
        0.973583,
        0.964835,
        0.967716,
        0.967176,
        0.96424,
        0.9643,
        0.97211,
        0.974835,
        0.976429,
        0.977873,
        0.978566,
        0.973495,
        0.974695,
        0.973889,
        0.973064,
        0.974876,
        0.976317,
        0.973257,
        0.975181,
        0.980654,
        0.984501,
        0.973737,
        0.965567,
        0.965997,
        0.967116,
        0.964885,
        0.971368,
        0.979499,
        0.973938,
        0.971058,
        0.978803,
        0.979208,
        0.972348,
        0.977765,
        0.989527,
        0.999272,
        0.99859,
        0.999535,
        null,
        0.984342,
        0.998344,
        0.990721,
        0.98461,
        0.985956,
        0.993114,
        0.991644,
        0.992772,
        0.988168,
        0.990228,
        0.998965,
        0.984811,
        0.979454,
        0.98173,
        0.983546,
        0.98344,
        0.991531,
        0.985661,
        0.986124,
        0.983953,
        0.976857,
        0.9717,
        0.980058,
        0.98671,
        0.989246,
        0.987271,
        0.982583,
        0.990687,
        0.985733,
        0.983119,
        0.980886,
        0.967489,
        0.976459,
        0.975875,
        0.973517,
        0.97386,
        0.978086,
        0.969421,
        0.967336,
        0.96858,
        0.973949,
        0.983236,
        0.980574,
        0.981729,
        0.980802,
        0.979686,
        0.980991,
        0.981696,
        0.978313,
        0.979502,
        0.98592,
        0.993093,
        0.983607,
        0.972595,
        0.979513,
        0.987735,
        0.986198,
        0.987023,
        0.994064,
        0.994493,
        0.988308,
        0.980353,
        0.981534,
        0.97909,
        0.976538,
        0.976101,
        0.97797,
        0.980123,
        0.981894,
        0.979732,
        0.980473,
        0.98329,
        0.981774,
        0.984401,
        0.980853,
        0.980449,
        0.981524,
        0.977689,
        0.979524,
        0.984756,
        0.988833,
        0.987261,
        0.978936,
        0.985094,
        0.98663,
        0.98599,
        0.987429,
        0.994088,
        1.00226,
        1.00329,
        1.00943,
        1.01438,
        1.01123,
        1.00052,
        0.99723,
        0.987596,
        0.985973,
        0.99841,
        1.00781,
        1.00003,
        0.993744,
        0.991145,
        0.990108,
        0.984041,
        0.986844,
        0.985745,
        0.982654,
        0.982145,
        0.990294,
        0.985863,
        0.983255,
        0.981814,
        0.980952,
        0.980293,
        0.981971,
        0.98129,
        0.98021,
        0.98124,
        0.985315,
        0.980419,
        0.982089,
        0.982673,
        0.980921,
        0.97745,
        0.973026,
        0.972004,
        0.975878,
        0.979217,
        0.977395,
        0.970948,
        0.971045,
        0.977629,
        0.982614,
        0.986218,
        0.983365,
        0.983809,
        0.985215,
        0.984802,
        0.982295,
        0.985315,
        0.986313,
        0.987409,
        0.985249,
        0.981113,
        0.977339,
        0.983947,
        0.985131,
        0.981224,
        0.977716,
        0.980155,
        0.981039,
        0.984968,
        0.988434,
        0.98446,
        0.985235,
        0.986298,
        0.981778,
        0.982617,
        0.983838,
        0.982193,
        0.981478,
        0.981755,
        0.985133,
        0.986155,
        0.986302,
        0.987843,
        0.988912,
        0.985319,
        0.984988,
        0.993724,
        1.01255,
        1.00291,
        0.997124,
        0.99307,
        0.990997,
        0.987726,
        0.980784,
        0.985097,
        0.986011,
        0.984334,
        0.990169,
        0.987374,
        0.987541,
        0.988042,
        0.988701,
        0.987498,
        0.986371,
        0.987518,
        0.990979,
        0.993343,
        0.989893,
        0.984912,
        0.985487,
        0.987894,
        0.987987,
        0.986479,
        0.981721,
        0.975564,
        0.981588,
        0.983258,
        0.983126,
        0.981807,
        0.986397,
        0.985941,
        0.984821,
        0.991585,
        0.994422,
        0.992085,
        0.996055,
        0.996937,
        0.996916,
        0.999876,
        0.997077,
        0.994264,
        0.995519,
        0.997772,
        0.998391,
        1.00034,
        0.997932,
        0.997773,
        0.999255,
        1.00565,
        1.01111,
        1.01168,
        1.00752,
        0.999539,
        0.992467,
        1.00253,
        1.00895,
        0.997419,
        0.993931,
        0.997718,
        0.997865,
        1.00541,
        1.00707,
        0.993954,
        1.02398,
        1.01933,
        1.01875,
        1.01784,
        1.01375,
        1.0037,
        0.996787,
        0.990686,
        0.989799,
        0.993848,
        0.996644,
        1.00113,
        1.00116,
        0.996822,
        0.987934,
        0.993022,
        0.995519,
        0.99936,
        1.00021,
        0.99411,
        0.993456,
        0.993825,
        0.995512,
        0.997526,
        0.993028,
        0.989494,
        0.997543,
        1.00464,
        1.00643,
        1.00581,
        1.00115,
        1.00068,
        0.994558,
        0.98526,
        0.985674,
        0.992834,
        0.994454,
        0.995162,
        1.00276,
        1.00606,
        1.00584,
        null,
        1.00687,
        1.00322,
        1.0133,
        1.02197,
        1.02059,
        1.02383,
        1.01766,
        1.02813,
        1.03598,
        1.0125,
        0.997016,
        1.01245,
        1.01556,
        0.99963,
        null,
        0.987788,
        1.0096,
        0.992647,
        0.985738,
        0.985135,
        0.973145,
        0.985245,
        0.994064,
        0.998232,
        1.00042,
        1.00481,
        1.00095,
        0.992349,
        0.984141,
        0.98526,
        1.00698,
        1.00495,
        1.00052,
        0.996078,
        0.994427,
        0.998554,
        0.994808,
        0.986853,
        null,
        1.00506,
        0.993626,
        0.993948,
        1.00028,
        0.980631,
        0.982923,
        0.985597,
        0.983849,
        0.984216,
        0.98387,
        0.979645,
        0.986242,
        0.985143,
        0.985568,
        0.986021,
        0.985413,
        0.98297,
        0.98158,
        0.985599,
        0.985044,
        0.982065,
        0.979239,
        0.981095,
        0.981689,
        0.981591,
        0.981086,
        0.983913,
        0.986186,
        0.984995,
        0.987564,
        0.987013,
        0.985345,
        0.981563,
        0.980849,
        0.986339,
        0.997778,
        0.99125,
        0.988349,
        0.98661,
        0.985191,
        0.981001,
        0.980826,
        0.983939,
        0.990052,
        0.993228,
        0.987016,
        0.982139,
        0.985153,
        0.988785,
        0.990729,
        0.990669,
        0.988966,
        0.988587,
        0.98453,
        0.984997,
        0.981667,
        0.979242,
        0.987479,
        0.99337,
        0.993732,
        0.987353,
        0.986433,
        0.985719,
        0.991728,
        0.99025,
        0.986887,
        0.990807,
        0.985644,
        0.987041,
        0.992645,
        0.994448,
        0.993516,
        0.989362,
        0.994952,
        0.989569,
        0.982495,
        0.982085,
        0.980137,
        0.977568,
        0.984579,
        0.987831,
        0.985286,
        0.986735,
        0.98632,
        0.988648,
        0.985238,
        0.981922,
        0.984153,
        0.982022,
        0.982851,
        0.98482,
        0.981807,
        0.983381,
        0.985381,
        0.987916,
        0.990622,
        0.982056,
        0.981089,
        0.978189,
        0.976298,
        0.979623,
        0.979883,
        0.980001,
        0.980995,
        0.980645,
        0.975621,
        0.974527,
        0.976337,
        0.978111,
        0.979558,
        0.979472,
        0.979112,
        0.981645,
        0.977784,
        0.980732,
        0.984903,
        0.986807,
        0.98108,
        0.979582,
        0.983891,
        0.982179,
        0.980764,
        0.983124,
        0.989426,
        0.992001,
        0.992211,
        0.990378,
        0.985609,
        0.989172,
        0.985463,
        0.993765,
        1.00086,
        0.992015,
        0.986796,
        0.994299,
        0.997042,
        0.994082,
        0.993246,
        0.989061,
        0.9961,
        0.991174,
        0.947473,
        0.951663,
        0.998142,
        1.00805,
        0.997792,
        0.99202,
        0.991823,
        0.988007,
        0.987475,
        0.981972,
        0.979757,
        0.98268,
        0.982434,
        0.980778,
        0.984328,
        0.984326,
        0.988988,
        0.985241,
        0.982243,
        0.990227,
        0.985462,
        0.980538,
        0.98086,
        0.982396,
        0.984134,
        0.982844,
        0.986712,
        0.987345,
        0.986513,
        0.986384,
        0.991758,
        0.990862,
        0.994177,
        0.997697,
        0.998172,
        0.993505,
        0.986673,
        0.98826,
        0.989545,
        0.997249,
        1.00594,
        1.00273,
        1.0055,
        1.01015,
        0.981957,
        0.9944,
        1.00618,
        0.996101,
        0.990537,
        0.989877,
        0.984012,
        0.983684,
        0.985313,
        0.989899,
        0.991369,
        0.98878,
        0.984211,
        0.984694,
        0.989729,
        0.990847,
        0.988705,
        0.986991,
        0.986192,
        0.98564,
        0.985583,
        0.989153,
        0.991364,
        0.989974,
        0.990222,
        0.99016,
        0.993487,
        0.990229,
        0.988608,
        0.986752,
        0.981122,
        0.988313,
        0.986667,
        0.983112,
        0.985047,
        0.988005,
        0.988116,
        0.98522,
        0.984748,
        0.987985,
        0.984115,
        0.979229,
        0.990738,
        0.999387,
        1.0021,
        0.988504,
        0.983519,
        0.979572,
        0.982636,
        0.982992,
        0.984537,
        0.980209,
        0.980175,
        0.983379,
        0.980717,
        0.979692,
        0.980399,
        0.979289,
        0.978091,
        0.977948,
        0.971337,
        0.972405,
        0.973039,
        0.970849,
        0.974262,
        0.97352,
        0.972172,
        0.972478,
        0.974846,
        0.977803,
        0.960994,
        0.961486,
        0.966834,
        0.969822,
        0.970744,
        0.973526,
        0.97949,
        0.974641,
        0.967702,
        0.965398,
        0.970877,
        0.977673,
        0.975251,
        0.973234,
        0.972846,
        0.973855,
        0.978381,
        0.974637,
        0.976993,
        0.978671,
        0.978457,
        0.981214,
        0.979443,
        0.982602,
        0.982809,
        0.981684,
        0.985607,
        0.979006,
        0.979788,
        0.982193,
        0.985714,
        0.989018,
        0.985913,
        0.992165,
        0.992016,
        0.99774,
        1.00531,
        1.00669,
        0.996522,
        0.977725,
        0.983678,
        0.993511,
        1.00169,
        1.00124,
        0.987418,
        0.966354,
        0.985438,
        0.987086,
        0.97618,
        0.985704,
        0.98681,
        0.98921,
        0.986037,
        0.984952,
        0.983152,
        0.982307,
        0.982469,
        0.980753,
        0.980936,
        0.979495,
        0.981159,
        0.980715,
        0.979748,
        0.978538,
        0.983264,
        0.984711,
        0.985941,
        0.982919,
        0.97601,
        0.978206,
        0.980621,
        0.978597,
        0.985998,
        0.985959,
        0.974063,
        0.972942,
        0.978848,
        0.974812,
        0.969475,
        0.972301,
        0.98037,
        0.980257,
        0.977901,
        0.976595,
        0.976853,
        0.977955,
        0.9821,
        null,
        0.976857,
        0.975284,
        0.970856,
        0.979807,
        0.977724,
        0.976742,
        0.980535,
        0.981385,
        0.988057,
        0.988496,
        0.982205,
        0.984423,
        0.99721,
        1.00549,
        0.98992,
        0.990523,
        0.988916,
        0.984017,
        0.974787,
        0.981586,
        0.98643,
        0.981777,
        0.982798,
        0.983159,
        0.987915,
        0.983769,
        0.981588,
        0.981511,
        0.982578,
        0.978992,
        0.980029,
        0.980075,
        0.983204,
        0.982173,
        0.980591,
        0.980057,
        0.982128,
        0.982667,
        0.984893,
        0.98505,
        0.982246,
        0.976993,
        0.976278,
        0.977842,
        0.982106,
        0.983712,
        0.984142,
        0.983713,
        0.985365,
        0.982562,
        0.977223,
        0.981669,
        0.979349,
        0.983004,
        0.985138,
        0.984579,
        0.98788,
        0.989739,
        0.987937,
        0.983714,
        0.990784,
        0.990878,
        0.976651,
        0.969008,
        0.979382,
        0.993768,
        0.992832,
        0.988415,
        0.991994,
        0.995274,
        0.988478,
        0.980687,
        0.980461,
        0.978054,
        0.981032,
        0.985052,
        0.983965,
        0.983407,
        0.984226,
        0.988401,
        0.986148,
        0.980685,
        0.983253,
        0.985416,
        0.984627,
        0.977655,
        0.976164,
        0.977559,
        0.980036,
        0.977503,
        0.978134,
        0.979326,
        0.981026,
        0.981801,
        0.976098,
        0.979184,
        0.982721,
        0.981534,
        0.979712,
        0.980387,
        0.981787,
        0.985515,
        0.983197,
        0.979379,
        0.978893,
        0.987845,
        0.985,
        0.984571,
        0.981678,
        0.978572,
        0.981874,
        0.980506,
        0.981558,
        0.991135,
        0.992441,
        0.98619,
        0.980217,
        0.981329,
        0.979679,
        0.982659,
        0.985504,
        0.983219,
        0.983494,
        0.982194,
        0.981075,
        0.981681,
        0.984372,
        0.987196,
        0.982155,
        0.980139,
        0.976482,
        0.97472,
        0.977944,
        0.979847,
        0.979236,
        0.983295,
        0.98474,
        0.982138,
        0.980582,
        0.976732,
        0.980373,
        0.980945,
        0.980204,
        0.98006,
        0.980149,
        0.980677,
        0.98097,
        0.982011,
        0.983905,
        0.985695,
        0.987583,
        0.985368,
        0.982153,
        0.981224,
        0.983008,
        0.978369,
        0.983011,
        0.982938,
        0.978138,
        0.978442,
        0.985935,
        0.989319,
        0.98504,
        0.981938,
        0.983207,
        0.984567,
        0.982528,
        0.978481,
        0.979361,
        0.983994,
        0.986578,
        0.984687,
        0.986495,
        0.990917,
        0.988935,
        0.98516,
        0.987273,
        0.987559,
        0.981692,
        0.98178,
        0.988629,
        0.990745,
        0.985913,
        0.988843,
        0.987919,
        0.987492,
        0.988356,
        0.98822,
        0.98985,
        0.986157,
        0.987148,
        0.988933,
        0.986156,
        0.980946,
        0.978239,
        0.986209,
        0.991131,
        0.98618,
        0.983324,
        0.986985,
        0.991159,
        0.987275,
        0.98685,
        0.986318,
        0.982727,
        0.981681,
        0.983686,
        0.986445,
        0.983683,
        0.982356,
        0.978399,
        0.977314,
        0.97949,
        0.986762,
        0.990171,
        0.98792,
        0.982376,
        0.986305,
        0.988157,
        0.986672,
        0.988151,
        0.991061,
        0.989451,
        0.989423,
        0.98735,
        0.98566,
        0.986336,
        0.981211,
        0.97639,
        0.980683,
        0.981564,
        0.982673,
        0.984321,
        0.982255,
        0.981572,
        0.981777,
        0.985482,
        0.985516,
        0.98098,
        0.985877,
        0.98348,
        0.981666,
        0.979773,
        0.975676,
        0.979346,
        0.97797,
        0.981199,
        0.986223,
        0.984032,
        0.980728,
        0.977998,
        0.981911,
        0.982714,
        0.981892,
        0.973148,
        0.960833,
        0.962781,
        0.959668,
        null,
        0.972763,
        0.992879,
        0.998102,
        1.00921,
        0.999407,
        0.994626,
        0.99487,
        0.995796,
        0.999429,
        0.99937,
        1.00254,
        1.00031,
        0.997676,
        0.997443,
        0.997834,
        1.00423,
        1.00466,
        0.999524,
        0.997085,
        0.997798,
        1.00025,
        1.00528,
        1.00435,
        1.00239,
        1.00229,
        0.998042,
        0.997324,
        1.00014,
        1.00136,
        1.0006,
        1.00187,
        1.0058,
        1.00495,
        1.00185,
        1.00099,
        1.00178,
        1.0005,
        0.996907,
        1.00154,
        1.00384,
        1.00331,
        1.00184,
        1.0013,
        1.00764,
        1.00696,
        1.00421,
        1.00362,
        1.0036,
        1.00434,
        1.00734,
        1.00108,
        1.00011,
        0.998437,
        0.998898,
        1.00456,
        0.999456,
        1.00126,
        1.00179,
        0.996688,
        0.992932,
        1.00273,
        1.00205,
        0.998406,
        0.998226,
        0.999992,
        1.00127,
        0.998351,
        0.996081,
        0.996748,
        0.995674,
        0.99338,
        0.994303,
        0.989776,
        0.985812,
        0.988738,
        0.990887,
        0.989396,
        0.988322,
        0.9875,
        0.992364,
        0.988315,
        0.987191,
        0.989806,
        0.989962,
        0.989293,
        0.989504,
        0.990695,
        0.989121,
        0.987538,
        0.992187,
        0.988111,
        0.987115,
        0.989115,
        0.995012,
        0.998239,
        0.987703,
        0.994602,
        0.991362,
        0.987813,
        0.987155,
        0.988399,
        0.986982,
        0.983426,
        0.986926,
        0.990186,
        0.992905,
        0.984203,
        0.988731,
        0.992094,
        0.985874,
        0.981715,
        0.987455,
        0.977603,
        0.971794,
        0.979772,
        0.984803,
        0.982936,
        0.978964,
        0.978034,
        0.977582,
        0.980459,
        0.975596,
        0.966197,
        null,
        0.962809,
        1.00534,
        1.00493,
        1.00039,
        0.995197,
        0.991022,
        0.991293,
        0.998385,
        0.989093,
        0.983866,
        0.980844,
        0.98648,
        0.994879,
        0.987945,
        0.987908,
        0.983761,
        0.9821,
        0.979452,
        0.975822,
        0.978504,
        0.981707,
        0.978678,
        0.97681,
        0.968103,
        0.967375,
        0.975736,
        0.976229,
        0.973818,
        0.972448,
        0.974454,
        0.976498,
        0.967691,
        0.971709,
        0.97913,
        0.983046,
        0.982746,
        0.980827,
        0.981054,
        0.966656,
        0.934843,
        0.928294,
        0.949341,
        0.976174,
        0.976799,
        0.978045,
        0.980296,
        0.984142,
        0.98524,
        0.981123,
        0.97793,
        0.974559,
        0.976623,
        0.977801,
        0.977123,
        0.975953,
        0.974364,
        0.974833,
        0.975908,
        0.979416,
        0.97785,
        0.968921,
        0.974753,
        0.971981,
        0.977014,
        0.979251,
        0.974662,
        0.967388,
        0.970459,
        0.973479,
        0.977601,
        0.97968,
        0.977443,
        0.973334,
        0.981364,
        0.978783,
        0.976461,
        0.97721,
        0.978438,
        0.976296,
        0.971973,
        0.975622,
        0.977601,
        0.982095,
        0.985448,
        0.98229,
        0.976498,
        0.978694,
        0.98247,
        0.982234,
        0.978948,
        0.976058,
        0.97221,
        0.971224,
        0.97546,
        0.976177,
        0.972913,
        0.970592,
        0.973329,
        0.96876,
        0.967291,
        0.966349,
        0.965368,
        0.965985,
        0.971543,
        0.978206,
        0.977784,
        0.973081,
        0.970034,
        0.971815,
        0.969299,
        0.969473,
        0.97597,
        0.974506,
        0.970053,
        0.972639,
        0.971563,
        0.969318,
        0.968647,
        0.972712,
        0.972797,
        0.963086,
        0.963905,
        0.972394,
        0.972017,
        0.972685,
        0.974802,
        0.97445,
        0.972356,
        0.979868,
        0.978382,
        0.975193,
        0.972008,
        0.970936,
        0.983644,
        0.977389,
        0.972096,
        0.971746,
        0.972847,
        0.973379,
        0.983887,
        0.985271,
        0.983386,
        0.981023,
        0.976722,
        0.970612,
        0.970836,
        0.974739,
        0.976384,
        0.978209,
        0.975492,
        0.970919,
        0.988997,
        0.984265,
        0.972913,
        0.970844,
        0.963709,
        0.947302,
        0.961241,
        null,
        0.973151,
        0.995219,
        0.980962,
        0.984277,
        0.999714,
        0.995763,
        0.980112,
        0.977286,
        1.01049,
        1.00997,
        1.00878,
        1.00418,
        0.999561,
        0.993585,
        0.982829,
        1.01391,
        0.996477,
        0.990122,
        0.991567,
        0.992419,
        0.992536,
        0.994483,
        0.980117,
        0.972619,
        0.977376,
        0.988697,
        0.995638,
        1.00063,
        1.00063,
        0.985192,
        0.975472,
        0.980145,
        0.993101,
        0.998259,
        0.991158,
        0.989756,
        0.998194,
        1.00154,
        0.989094,
        0.988099,
        0.984295,
        0.975907,
        0.97665,
        0.981283,
        0.981411,
        0.979596,
        0.981028,
        0.9805,
        0.979539,
        0.973146,
        null,
        0.981368,
        0.971828,
        1.00463,
        0.991683,
        0.987621,
        0.987648,
        0.989329,
        0.979471,
        0.988291,
        0.995576,
        1.00017,
        0.999512,
        1.00155,
        1.00018,
        0.995189,
        0.999633,
        1.00284,
        0.99339,
        1.0014,
        0.984045,
        1.0318,
        0.974665,
        1.00747,
        1.0001,
        1.00098,
        1.00851,
        1.00581,
        1.01253,
        1.01187,
        1.00334,
        0.993617,
        0.992753,
        0.988882,
        0.996174,
        0.999504,
        0.993343,
        0.981063,
        0.984911,
        1.00922,
        1.01206,
        1.02215,
        1.01346,
        1.00797,
        1.0053,
        1.0037,
        1.00358,
        1.0035,
        0.999315,
        0.99379,
        0.99729,
        1.00022,
        0.998817,
        1.00122,
        0.999275,
        0.995147,
        0.99727,
        0.993914,
        0.993415,
        0.990189,
        1.03276,
        0.970082,
        0.989631,
        0.992367,
        0.998094,
        1.00233,
        0.9989,
        0.997475,
        1.01298,
        0.999225,
        1.00484,
        0.989879,
        1.00319,
        1.00091,
        1.00298,
        1.00173,
        1.00142,
        0.996318,
        0.990775,
        0.989206,
        0.992999,
        0.996124,
        0.998037,
        0.996942,
        1.00151,
        1.00663,
        1.00027,
        0.994581,
        1.00065,
        1.00364,
        0.999734,
        0.995253,
        0.999123,
        1.00282,
        1.00329,
        1.00996,
        0.969369,
        0.920218,
        0.941623,
        0.972033,
        0.983458,
        0.985686,
        0.985708,
        0.988592,
        0.995674,
        1.00141,
        1.00785,
        1.005,
        1.00761,
        1.01245,
        1.01049,
        1.01579,
        1.01437,
        1.01047,
        0.997826,
        0.988952,
        0.994625,
        0.988786,
        0.993042,
        1.00153,
        0.996596,
        1.00074,
        0.996822,
        0.994262,
        1.00022,
        1.00372,
        1.00241,
        1.00042,
        1.00597,
        1.00221,
        1.00242,
        1.00572,
        1.00551,
        0.999821,
        1.00095,
        1.00258,
        0.997603,
        1.01018,
        1.03237,
        1.04013,
        1.01061,
        0.995455,
        0.990191,
        0.993723,
        0.993825,
        0.989125,
        0.999093,
        0.998677,
        0.99472,
        0.998481,
        1.00016,
        0.995828,
        0.998976,
        1.012,
        1.01475,
        1.01352,
        1.00626,
        0.997531,
        1.0011,
        1.00415,
        1.00956,
        null,
        1.01579,
        1.00829,
        0.993119,
        0.998019,
        0.993033,
        0.96179,
        0.989404,
        0.991249,
        0.993662,
        0.99347,
        0.993118,
        0.997106,
        0.990188,
        0.994405,
        1.00074,
        1.00081,
        0.996627,
        0.996232,
        1.00367,
        0.998591,
        0.995728,
        0.994989,
        0.996599,
        0.998266,
        0.98879,
        1.00086,
        1.0023,
        1.00472,
        1.00671,
        1.0028,
        0.996125,
        1.00237,
        0.999743,
        0.999553,
        1.00084,
        1.00127,
        1.00711,
        0.996183,
        0.999531,
        1.0038,
        1.00412,
        1.00249,
        1.00654,
        1.00467,
        1.00232,
        1.00019,
        1.0048,
        1.01329,
        1.00841,
        1.00323,
        0.998718,
        0.993584,
        0.992236,
        0.991241,
        0.981302,
        1.0076,
        1.0013,
        0.999321,
        0.999202,
        0.996398,
        0.993072,
        0.991423,
        0.984826,
        0.985071,
        0.985178,
        null,
        0.953889,
        0.975376,
        0.989888,
        0.994297,
        0.994138,
        0.996406,
        0.995369,
        1.00387,
        0.996442,
        0.987289,
        0.988078,
        0.999049,
        1.00518,
        null,
        0.994669,
        0.997048,
        0.997468,
        0.994543,
        0.994815,
        0.996467,
        0.974209,
        0.992331,
        0.987993,
        0.992066,
        1.0011,
        1.00839,
        1.00783,
        1.01273,
        1.0068,
        1.01071,
        1.00826,
        1.00415,
        1.01501,
        1.00786,
        1.01139,
        1.01233,
        1.00981,
        1.00598,
        1.00383,
        1.00505,
        0.993646,
        1.00691,
        1.01232,
        1.012,
        1.00918,
        1.01376,
        1.00533,
        1.00074,
        0.997805,
        0.993363,
        0.992794,
        0.995104,
        0.994402,
        0.995,
        0.99827,
        0.99864,
        0.997687,
        0.994763,
        0.992015,
        0.997606,
        0.999514,
        0.997163,
        0.995075,
        0.997368,
        0.988013,
        0.985682,
        0.977114,
        0.98126,
        0.984305,
        0.982944,
        0.994165,
        0.997221,
        0.992479,
        1.00181,
        0.997828,
        0.989482,
        0.991834,
        0.995194,
        0.988552,
        0.990835,
        0.993043,
        0.999145,
        1.0032,
        1.00844,
        1.00477,
        1.00087,
        1.00089,
        1.00446,
        0.996111,
        1.0018,
        1.00678,
        1.00194,
        0.999188,
        0.999009,
        0.995951,
        0.996464,
        0.995274,
        0.996642,
        1.00131,
        1.00296,
        0.998107,
        1.00096,
        0.99875,
        0.999058,
        0.994238,
        0.995529,
        0.99555,
        1.00549,
        1.00361,
        0.999736,
        0.997087,
        0.997086,
        0.997925,
        1.00296,
        1.00395,
        0.995207,
        0.999849,
        1.00111,
        1.0003,
        1.00028,
        1.00443,
        1.00746,
        0.997508,
        1.00266,
        1.00632,
        1.00696,
        1.00929,
        1.0081,
        1.00632,
        1.00347,
        1.00791,
        1.01078,
        1.01363,
        1.01662,
        1.01128,
        1.0034,
        0.998059,
        0.999378,
        1.00103,
        0.99994,
        1.00428,
        1.00209,
        1.0007,
        0.996336,
        0.995361,
        0.996753,
        1.00255,
        0.998199,
        1.00597,
        0.998821,
        0.995079,
        0.99111,
        0.986684,
        0.985392,
        0.986886,
        0.989236,
        0.987834,
        0.994724,
        0.995575,
        0.994489,
        0.99113,
        0.988213,
        0.990698,
        0.991855,
        0.991956,
        0.989318,
        0.992844,
        0.990856,
        0.990395,
        0.99288,
        0.995408,
        0.998507,
        1.00226,
        1.00025,
        1.00407,
        1.00455,
        0.998151,
        0.99105,
        0.996406,
        1.00202,
        1.00191,
        0.993713,
        0.989013,
        0.994866,
        0.996328,
        0.993231,
        0.994029,
        0.990379,
        0.972981,
        0.997751,
        0.995626,
        1.00593,
        1.00272,
        0.997896,
        1.00676,
        1.02398,
        1.02188,
        0.975035,
        0.998234,
        0.996508,
        0.995927,
        1.01381,
        0.988115,
        null,
        0.986005,
        0.987844,
        0.980843,
        0.991358,
        0.987382,
        0.995917,
        0.992314,
        0.992281,
        1.00473,
        1.00897,
        1.00041,
        1.00964,
        1.00774,
        null,
        1.01457,
        1.03843,
        1.04272,
        1.00288,
        1.00329,
        1.02067,
        1.02678,
        1.01095,
        0.997846,
        0.994261,
        1.00222,
        1.02073,
        1.03425,
        1.00943,
        1.00724,
        1.0075,
        0.999069,
        0.997853,
        1.00036,
        1.00106,
        1.00319,
        1.00193,
        1.00613,
        1.00813,
        1.00347,
        1.00453,
        1.00768,
        1.00361,
        1.00509,
        1.0081,
        1.00908,
        1.01279,
        1.01366,
        1.01553,
        1.00911,
        1.0032,
        0.997808,
        0.999934,
        1.00183,
        1.0007,
        0.999886,
        0.996766,
        0.998356,
        1.00269,
        1.00423,
        1.00426,
        1.00268,
        1.00263,
        1.00276,
        1.00339,
        1.00169,
        1.00386,
        0.999584,
        1.00232,
        1.00789,
        1.00534,
        0.998102,
        0.995243,
        0.996305,
        0.997697,
        1.00294,
        1.00541,
        1.00103,
        0.995279,
        0.997733,
        1.00163,
        1.00201,
        1.0077,
        1.01139,
        1.00956,
        1.00394,
        1.00286,
        0.998233,
        0.99501,
        0.998498,
        1.00074,
        1.00541,
        1.00001,
        0.999494,
        1.0014,
        1.00293,
        1.00555,
        1.00266,
        1.00905,
        1.0077,
        1.00238,
        0.974744,
        0.954891,
        0.972274,
        0.997321,
        1.01128,
        1.00732,
        1.00454,
        1.00337,
        0.999983,
        0.998925,
        1.01188,
        1.00681,
        1.00519,
        1.00202,
        1.00259,
        1.00491,
        1.006,
        1.00121,
        1.00616,
        1.0102,
        1.00637,
        1.00821,
        1.00146,
        0.997152,
        0.993255,
        0.992457,
        0.993735,
        0.991883,
        0.984818,
        0.982172,
        0.983557,
        0.98937,
        0.995407,
        0.998295,
        0.998338,
        0.992166,
        0.997955,
        0.999505,
        0.999081,
        0.998907,
        0.99821,
        0.995269,
        0.993105,
        0.99505,
        0.995409,
        0.99481,
        0.995607,
        1.00051,
        1.00092,
        0.999103,
        1.00084,
        1.0027,
        1.00287,
        1.00114,
        1.00105,
        1.00109,
        0.997572,
        0.998637,
        1.00668,
        1.00845,
        1.00301,
        0.998112,
        0.994146,
        0.995216,
        0.997882,
        1.00093,
        1.00215,
        1.00199,
        0.994905,
        0.998006,
        0.998198,
        0.995552,
        1.0005,
        1.00718,
        1.00423,
        0.999892,
        0.990658,
        0.998401,
        1.0043,
        1.00489,
        1.00178,
        1.00613,
        1.00478,
        0.998346,
        0.994025,
        0.997338,
        1.00067,
        1.00127,
        0.999997,
        1.00102,
        1.00274,
        1.00149,
        0.994388,
        0.992694,
        0.996456,
        1.00008,
        1.00121,
        1.00025,
        0.999243,
        1.00166,
        0.998434,
        0.996876,
        0.994837,
        0.996867,
        1.00192,
        1.00361,
        1.00222,
        1.00291,
        1.00556,
        1.00602,
        1.00315,
        1.00155,
        1.00043,
        1.00134,
        1.00155,
        1.0045,
        1.00807,
        1.00928,
        1.01017,
        1.00987,
        1.00807,
        1.00055,
        1.00077,
        1.00426,
        1.00646,
        1.00326,
        1.00158,
        1.00268,
        1.00345,
        1.00275,
        1.00019,
        0.997725,
        1.00404,
        1.00825,
        1.00302,
        0.994985,
        0.999852,
        1.00723,
        1.00125,
        1.00157,
        1.00545,
        1.00356,
        1.00266,
        1.00643,
        1.00428,
        1.00561,
        1.00608,
        1.0064,
        1.00244,
        0.999064,
        1.00115,
        1.00546,
        1.00546,
        1.00431,
        1.00782,
        1.01005,
        1.0057,
        1.00757,
        1.00905,
        1.00381,
        1.00042,
        1.00105,
        1.00354,
        1.00294,
        1.0021,
        1.00977,
        1.01054,
        1.00964,
        1.00802,
        1.0054,
        0.996925,
        1.00051,
        1.00113,
        1.00368,
        1.00699,
        1.00512,
        0.999197,
        0.995398,
        1.00493,
        0.98913,
        0.981468,
        0.988766,
        0.995746,
        0.998693,
        1.01089,
        1.01267,
        1.00514,
        1.0054,
        1.00663,
        1.00552,
        0.999038,
        0.993007,
        0.99498,
        1.00116,
        1.00153,
        0.99833,
        0.997895,
        0.995586,
        0.995123,
        0.998787,
        0.998918,
        0.996128,
        0.993198,
        0.993656,
        0.994021,
        0.995004,
        1.00163,
        1.00743,
        1.00685,
        0.998733,
        0.986623,
        0.99799,
        0.99522,
        0.986554,
        0.991441,
        0.99494,
        1.00052,
        1.00714,
        1.00969,
        1.00996,
        1.0069,
        1.00476,
        1.00452,
        1.0061,
        1.00236,
        1.00614,
        1.00943,
        1.00959,
        1.00269,
        1.00004,
        1.00385,
        1.01209,
        1.00418,
        1.00615,
        1.00773,
        0.999936,
        1.00454,
        1.00843,
        1.00761,
        1.00424,
        1.00113,
        1.0053,
        1.00464,
        1.00274,
        0.999822,
        0.996169,
        0.99495,
        1.00078,
        1.00659,
        1.00421,
        1.00347,
        1.00896,
        1.0104,
        0.999716,
        0.990131,
        0.99429,
        0.996922,
        1.00051,
        1.00141,
        0.997959,
        0.996295,
        0.992048,
        0.995933,
        1.00713,
        1.00644,
        1.00799,
        1.00266,
        1.00555,
        1.013,
        1.0109,
        1.00802,
        0.998,
        1.01003,
        0.991626,
        0.987194,
        1.00688,
        1.01434,
        1.01013,
        1.00872,
        1.00343,
        0.917795,
        0.991935,
        0.965598,
        0.984125,
        1.03648,
        1.03042,
        1.00227,
        0.998268,
        1.00598,
        1.00021,
        0.99157,
        null,
        null,
        1.01137,
        0.992571,
        1.03553,
        1.01887,
        1.02345,
        1.02818,
        1.02223,
        1.01666,
        1.0059,
        1.00258,
        1.0178,
        1.00365,
        1.0148,
        1.01301,
        0.991048,
        1.01723,
        1.01449,
        1.00153,
        0.992884,
        0.997974,
        1.01114,
        1.0201,
        1.0148,
        0.993892,
        0.998333,
        1.00815,
        1.00821,
        1.00327,
        1.01048,
        1.0062,
        1.0091,
        1.01407,
        1.01481,
        1.01204,
        1.00419,
        1.02071,
        1.01789,
        1.02102,
        1.02351,
        1.02574,
        1.02548,
        1.01387,
        1.01974,
        1.0187,
        1.01859,
        1.03045,
        1.03064,
        1.02079,
        1.01978,
        1.01213,
        1.01972,
        0.990184,
        0.998444,
        1.02273,
        null,
        1.00945,
        1.01378,
        1.01223,
        1.01315,
        1.01267,
        1.00543,
        1.01335,
        1.01414,
        1.00684,
        1.00263,
        1.00545,
        1.01174,
        1.01975,
        1.01881,
        1.01421,
        1.01113,
        1.01598,
        1.02162,
        1.02133,
        1.01946,
        1.01938,
        1.01479,
        1.00926,
        1.00988,
        1.00636,
        1.00407,
        1.01358,
        1.01995,
        1.013,
        1.00806,
        1.01075,
        1.01399,
        1.00985,
        1.00327,
        1.00859,
        1.00777,
        1.0032,
        1.00845,
        1.00653,
        1.00718,
        1.01224,
        1.0106,
        0.998927,
        0.999023,
        1.00002,
        1.00134,
        0.998039,
        0.998084,
        1.00446,
        1.00364,
        0.994348,
        0.998952,
        1.00134,
        0.997685,
        0.997468,
        1.00132,
        1.00039,
        0.997723,
        0.998917,
        0.999242,
        1.00681,
        1.01102,
        1.00914,
        1.00698,
        1.00823,
        1.00374,
        0.999864,
        0.998671,
        1.00187,
        1.0058,
        1.00698,
        1.0044,
        0.9955,
        1.00833,
        1.0058,
        1.00944,
        1.01069,
        1.01401,
        1.01094,
        1.01333,
        1.01702,
        1.01648,
        1.01097,
        1.00755,
        1.01382,
        1.01234,
        1.01634,
        1.01728,
        1.01381,
        1.01011,
        1.00747,
        1.00645,
        1.01095,
        1.00949,
        1.01085,
        1.01501,
        1.01495,
        1.00708,
        1.00529,
        1.00618,
        0.999744,
        1.00545,
        1.01389,
        1.01427,
        1.00741,
        1.00557,
        1.01033,
        1.00962,
        1.00934,
        1.00844,
        1.00954,
        1.01072,
        1.00596,
        1.01107,
        1.01296,
        1.00646,
        1.00586,
        1.009,
        1.00755,
        1.00021,
        1.0029,
        1.00668,
        1.01029,
        1.00705,
        1.00754,
        1.01326,
        1.01686,
        1.01213,
        1.00228,
        1.0033,
        null,
        1.01,
        1.01535,
        1.00743,
        0.994028,
        1.00016,
        1.01066,
        1.02348,
        1.02792,
        1.01559,
        1.00932,
        1.00722,
        1.01145,
        1.01917,
        1.0223,
        1.01754,
        1.01386,
        1.01139,
        1.01293,
        1.00947,
        1.01083,
        1.01311,
        1.00794,
        1.00723,
        1.01007,
        1.00887,
        1.00867,
        1.00812,
        1.00901,
        1.00752,
        1.00706,
        1.00607,
        1.00749,
        1.01022,
        1.00065,
        1.00795,
        1.00669,
        1.00831,
        1.00821,
        1.00677,
        1.00342,
        1.00735,
        1.00791,
        1.00975,
        1.01108,
        1.01045,
        1.0061,
        1.00395,
        1.00594,
        1.00258,
        1.0083,
        0.996791,
        0.997213,
        1.00592,
        1.01714,
        1.04085,
        1.09721,
        1.05031,
        1.00186,
        0.993161,
        1.00604,
        1.01153,
        1.01041,
        1.01463,
        1.01142,
        1.01321,
        1.01719,
        1.01619,
        1.01124,
        1.01241,
        1.01749,
        1.01136,
        1.00727,
        1.00924,
        1.00368,
        null,
        0.997073,
        1.00657,
        1.01188,
        1.0204,
        1.01793,
        1.01495,
        1.01325,
        1.01337,
        1.01826,
        1.01818,
        1.02883,
        1.01817,
        1.028,
        1.01866,
        0.986953,
        0.982621,
        1.01072,
        1.01571,
        1.05353,
        0.950111,
        0.984199,
        1.0035,
        1.02539,
        1.02274,
        1.01971,
        1.01972,
        1.02245,
        1.0325,
        1.02468,
        1.022,
        1.02021,
        1.01951,
        1.02085,
        1.02695,
        1.03426,
        1.03514,
        1.02841,
        1.02871,
        1.0429,
        1.04032,
        1.02558,
        1.02381,
        1.03764,
        1.0557,
        1.06708,
        1.05737,
        0.985627,
        0.999122,
        1.0215,
        1.0191,
        1.02778,
        1.02867,
        1.02549,
        1.02718,
        1.0338,
        1.03159,
        1.02751,
        1.03959,
        1.03976,
        1.03133,
        1.02511,
        1.02631,
        1.02753,
        1.01719,
        1.02502,
        1.02229,
        1.03385,
        1.05245,
        1.02004,
        1.02115,
        1.01813,
        1.01521,
        1.02114,
        1.02099,
        1.02019,
        1.02056,
        1.01429,
        1.0058,
        1.00381,
        1.00868,
        1.00299,
        1.00925,
        1.01492,
        1.0166,
        1.01583,
        1.0178,
        1.02168,
        1.01692,
        1.00832,
        0.991314,
        0.944929,
        0.956309,
        0.994373,
        0.99031,
        0.996179,
        0.995201,
        0.993017,
        1.00034,
        1.01011,
        1.00174,
        1.00644,
        1.01071,
        1.00582,
        0.999923,
        1.00103,
        1.00947,
        1.019,
        1.00866,
        1.00866,
        1.01042,
        1.00746,
        1.00201,
        1.00039,
        1.00596,
        1.01396,
        1.00434,
        1.00071,
        1.00727,
        1.01176,
        1.00986,
        1.00749,
        1.00544,
        1.00249,
        1.00718,
        1.01485,
        1.01677,
        1.01464,
        1.01184,
        1.00756,
        1.00937,
        1.01122,
        1.00859,
        1.01484,
        1.01757,
        1.01449,
        1.01707,
        1.0238,
        1.01075,
        1.0141,
        1.00986,
        1.0008,
        0.998904,
        1.0074,
        1.01362,
        1.00693,
        1.00305,
        0.985931,
        0.993202,
        1.00359,
        1.00148,
        0.997148,
        1.00605,
        1.00578,
        1.00721,
        1.00257,
        1.00017,
        0.998415,
        1.00156,
        1.01881,
        1.01947,
        1.01333,
        1.01346,
        1.01562,
        1.01806,
        1.01962,
        1.018,
        1.01028,
        1.00693,
        1.01602,
        1.0137,
        1.01518,
        1.01439,
        1.00895,
        1.00992,
        1.01041,
        1.00859,
        1.01259,
        1.01269,
        1.00453,
        1.00032,
        1.00628,
        1.00217,
        0.998321,
        1.00005,
        1.00493,
        1.01618,
        1.02297,
        1.01648,
        1.0015,
        0.997064,
        1.0024,
        1.00011,
        0.993264,
        0.991542,
        0.996202,
        1.00274,
        1.00674,
        1.00339,
        1.01366,
        1.00789,
        1.00062,
        1.00602,
        1.01359,
        1.00987,
        1.01074,
        1.00621,
        1.00674,
        1.01142,
        1.01059,
        1.00922,
        1.00807,
        1.00252,
        1.01145,
        0.999614,
        1.00385,
        1.00398,
        1.00282,
        0.998518,
        0.992233,
        1.00451,
        0.997015,
        0.997229,
        1.01752,
        1.00524,
        1.00007,
        1.0019,
        1.00709,
        1.01119,
        1.01173,
        1.01573,
        1.01549,
        1.00811,
        0.993651,
        0.98754,
        0.995129,
        1.00875,
        1.01547,
        1.01153,
        1.01044,
        1.0129,
        1.01505,
        1.01483,
        1.01317,
        1.01046,
        1.00394,
        1.00623,
        1.00795,
        1.00677,
        1.00833,
        1.00659,
        0.998341,
        0.992138,
        1.00094,
        1.0017,
        1.00452,
        1.00589,
        1.0052,
        1.00402,
        1.00376,
        1.00459,
        null,
        1.00698,
        0.996789,
        0.991767,
        1.00501,
        1.00992,
        1.00173,
        0.997317,
        1.23408,
        1.17989,
        1.10163,
        1.01704,
        0.895306,
        0.905612,
        0.974626,
        1.17867,
        1.11746,
        1.06717,
        1.01677,
        1.05425,
        1.00405,
        1.0199,
        1.02558,
        1.02177,
        1.02036,
        1.0127,
        1.01227,
        1.01675,
        1.02206,
        1.01326,
        1.01489,
        1.01213,
        1.01763,
        1.01987,
        1.01406,
        1.01032,
        1.00926,
        1.00481,
        1.00153,
        1.00371,
        1.00649,
        1.00923,
        1.01024,
        1.00935,
        1.00879,
        1.00637,
        1.00767,
        1.01069,
        1.007,
        1.0038,
        1.00594,
        1.00044,
        1.01753,
        1.04035,
        1.06098,
        1.06043,
        1.06645,
        1.05055,
        1.04334,
        1.03548,
        1.02475,
        1.01976,
        1.02424,
        1.02869,
        1.03259,
        1.03703,
        1.03222,
        1.02633,
        1.01973,
        1.017,
        1.01738,
        1.0173,
        1.0181,
        1.01777,
        1.0223,
        1.014,
        1.0152,
        1.01731,
        1.01691,
        1.0193,
        1.02057,
        1.02408,
        1.02106,
        1.02186,
        1.01801,
        1.01714,
        1.01338,
        1.01353,
        1.01594,
        1.02222,
        1.02418,
        1.02033,
        1.01982,
        1.01748,
        1.02347,
        1.02367,
        1.01958,
        1.01652,
        1.01475,
        1.01521,
        1.01294,
        1.02191,
        1.01567,
        1.0074,
        1.0096,
        1.01365,
        1.01131,
        1.01081,
        1.01493,
        1.01485,
        1.00705,
        1.0057,
        1.01077,
        1.00935,
        1.0083,
        1.009,
        1.00674,
        0.992188,
        0.99863,
        1.00609,
        1.00968,
        1.01181,
        1.01478,
        1.01099,
        1.00774,
        1.01496,
        1.00498,
        1.00315,
        1.00515,
        1.01182,
        1.01642,
        1.01168,
        1.01044,
        1.00935,
        1.01421,
        1.01805,
        1.02524,
        1.01967,
        1.02107,
        1.01323,
        1.0115,
        1.01041,
        1.01427,
        1.01491,
        1.01188,
        1.00896,
        1.00989,
        1.00869,
        1.01171,
        1.0125,
        1.01108,
        1.01515,
        1.01612,
        1.01379,
        1.01418,
        1.0126,
        1.01459,
        1.01436,
        1.01434,
        1.01868,
        1.02074,
        1.01598,
        1.01229,
        1.01791,
        1.01868,
        1.01573,
        1.0132,
        1.01334,
        1.01733,
        1.01753,
        1.02147,
        1.0246,
        1.01719,
        1.01356,
        1.01402,
        1.01399,
        1.01897,
        1.0161,
        1.01047,
        1.00835,
        1.00939,
        1.01048,
        1.01182,
        1.01495,
        1.01372,
        1.01582,
        1.01562,
        1.01446,
        1.01523,
        1.01571,
        1.01709,
        1.01848,
        1.01591,
        1.01063,
        1.01497,
        1.017,
        1.01523,
        1.01117,
        1.00657,
        1.00954,
        1.01273,
        1.00897,
        1.01264,
        1.01316,
        1.01424,
        1.01651,
        1.01432,
        1.01035,
        1.01059,
        1.01118,
        1.01018,
        1.01122,
        1.01055,
        1.01109,
        1.00927,
        1.01182,
        1.01671,
        1.01521,
        1.01335,
        1.01398,
        1.01775,
        1.00048,
        1.01291,
        0.982652,
        0.995604,
        1.01217,
        1.01673,
        1.01507,
        1.00828,
        1.01123,
        1.0148,
        1.01303,
        1.01259,
        1.01225,
        1.009,
        1.0087,
        1.01384,
        1.01811,
        1.0158,
        1.00905,
        1.01235,
        1.01262,
        1.01103,
        1.00928,
        1.00769,
        1.00631,
        1.00415,
        1.01472,
        1.02246,
        1.01324,
        1.00881,
        1.00687,
        1.00691,
        1.00747,
        0.994352,
        0.986649,
        0.995802,
        0.983607,
        1.00545,
        0.970572,
        1.05061,
        1.0651,
        1.04228,
        1.03964,
        1.03509,
        1.04008,
        1.01968,
        1.01926,
        1.01861,
        1.01476,
        1.01356,
        1.00783,
        1.00869,
        1.0127,
        1.01247,
        1.00238,
        1.00748,
        1.00968,
        1.00713,
        1.00617,
        1.00617,
        1.00629,
        1.00697,
        1.00667,
        0.999879,
        0.998959,
        0.999704,
        1.01351,
        1.00988,
        1.00115,
        1.00403,
        1.01009,
        1.00589,
        1.00099,
        1.00693,
        0.999927,
        1.0028,
        1.00772,
        1.01035,
        1.01034,
        1.00565,
        1.00053,
        1.01052,
        1.01012,
        1.01425,
        1.01092,
        1.00843,
        1.01525,
        1.01739,
        1.01741,
        1.01501,
        1.00849,
        1.01706,
        1.01652,
        1.01506,
        1.01266,
        1.0154,
        1.01523,
        1.01316,
        1.0198,
        1.01841,
        1.01271,
        1.01281,
        1.01644,
        1.01104,
        1.01116,
        1.01997,
        1.01266,
        1.00313,
        0.997914,
        1.00153,
        1.00114,
        1.00087,
        0.994068,
        0.99743,
        0.98265,
        0.992612,
        0.998147,
        0.996937,
        1.01101,
        1.02339,
        1.00947,
        1.0096,
        0.995603,
        0.974929,
        0.992057,
        1.12602,
        1.12454,
        1.06278,
        1.03743,
        1.0203,
        1.01914,
        1.02204,
        1.01346,
        1.01052,
        1.01514,
        1.01633,
        1.01218,
        1.01632,
        1.0116,
        1.0054,
        1.0098,
        1.00137,
        0.999531,
        1.00818,
        1.01275,
        1.01106,
        1.01229,
        1.00609,
        1.00935,
        1.01047,
        1.00764,
        1.00253,
        0.993977,
        0.988583,
        1.00671,
        1.01613,
        1.01284,
        null,
        1.003,
        0.959085,
        1.00101,
        0.994747,
        1.0098,
        1.02257,
        1.02955,
        1.02223,
        1.02112,
        1.02375,
        1.02981,
        1.03093,
        1.01832,
        1.016,
        1.01601,
        1.01688,
        1.00957,
        1.01516,
        1.0113,
        1.00785,
        1.01462,
        1.01563,
        1.00707,
        1.0071,
        1.01503,
        1.01676,
        1.01384,
        1.01585,
        1.00897,
        1.00419,
        1.01097,
        1.00801,
        1.01599,
        1.01187,
        1.00541,
        0.997383,
        1.00928,
        0.990792,
        0.991836,
        1.00421,
        1.00492,
        1.00299,
        0.998303,
        1.00127,
        1.00225,
        1.02295,
        1.01842,
        1.02783,
        0.99193,
        0.984915,
        0.995944,
        null,
        0.981611,
        0.955663,
        1.07304,
        1.07065,
        1.05212,
        1.04393,
        1.03287,
        1.02664,
        1.04083,
        1.04452,
        1.02186,
        1.03243,
        1.04185,
        1.0383,
        1.02985,
        1.03687,
        1.036,
        1.03409,
        1.02992,
        1.03307,
        1.03257,
        1.0944,
        0.937026,
        0.636667,
        0.845074,
        0.861706,
        0.743136,
        0.938045,
        1.03152,
        1.01636,
        1.0012,
        0.465342,
        null,
        0.930954,
        0.991499,
        0.991714,
        1.01676,
        1.02338,
        1.02325,
        1.00025,
        1.02195,
        1.02303,
        0.999135,
        1.01198,
        1.03774,
        1.0359,
        1.04278,
        null,
        1.00389,
        1.02864,
        1.09537,
        1.09569,
        1.11818,
        1.06498,
        0.979223,
        null,
        0.975309,
        0.954486,
        1.01178,
        1.04419,
        1.04096,
        0.997148,
        1.01581,
        0.99039,
        1.00755,
        1.0279,
        1.03576,
        1.0312,
        1.01571,
        1.04796,
        1.04205,
        1.03344,
        1.02758,
        1.01878,
        1.02162,
        1.02399,
        1.0378,
        1.01537,
        1.02355,
        1.03835,
        1.03882,
        1.03336,
        1.03366,
        1.03228,
        1.02577,
        1.02198,
        1.01492,
        1.01129,
        1.00895,
        1.02472,
        1.01471,
        1.00436,
        1.00372,
        1.00339,
        1.01142,
        1.02445,
        1.01917,
        1.00866,
        1.00374,
        1.00439,
        1.02529,
        1.04179,
        1.02483,
        0.995862,
        0.99612,
        1.00539,
        1.00066,
        1.00511,
        1.00844,
        1.00922,
        1.00263,
        1.0112,
        1.01616,
        1.01748,
        1.01134,
        1.00931,
        1.00768,
        0.995759,
        0.986599,
        1.00344,
        1.02599,
        1.02915,
        1.01226,
        1.01492,
        1.02197,
        1.0064,
        0.958373,
        0.986783,
        0.99864,
        1.00852,
        1.02242,
        1.04236,
        1.02829,
        1.01622,
        1.00744,
        1.01963,
        1.02768,
        1.02644,
        1.02772,
        1.02309,
        1.00973,
        1.00326,
        1.01409,
        1.03852,
        1.03138,
        1.03028,
        1.0384,
        1.0512,
        1.05719,
        1.05323,
        1.05284,
        1.07152,
        1.11257,
        null,
        1.05478,
        1.01912,
        1.02863,
        1.04929,
        1.05363,
        1.04838,
        1.04189,
        1.03581,
        1.02931,
        1.02721,
        1.03277,
        1.0284,
        1.02187,
        1.02913,
        1.02327,
        1.02871,
        1.01766,
        1.02587,
        1.03571,
        1.02928,
        1.02297,
        1.02528,
        1.02059,
        1.02857,
        1.02825,
        1.02761,
        1.02427,
        1.02048,
        1.01854,
        1.01102,
        1.01463,
        1.01907,
        1.00846,
        1.00923,
        1.0094,
        1.01066,
        1.01413,
        0.996025,
        1.02103,
        1.0542,
        1.06303,
        1.03499,
        1.00674,
        1.00903,
        1.02018,
        1.01616,
        1.01561,
        null,
        1.02513,
        1.0069,
        1.00902,
        1.00487,
        1.00559,
        1.02053,
        1.03019,
        1.02945,
        1.02715,
        1.02528,
        1.03828,
        1.04065,
        1.03038,
        1.02745,
        1.0227,
        1.04958,
        1.06644,
        1.05462,
        null,
        1.00588,
        1.00591,
        0.987906,
        0.97655,
        0.998306,
        1.02732,
        1.02772,
        1.03565,
        1.04173,
        1.03634,
        1.03965,
        1.053,
        1.04623,
        1.02927,
        1.0557,
        1.08126,
        1.0828,
        1.0727,
        1.06724,
        1.0847,
        0.970186,
        1.00279,
        1.02428,
        1.01228,
        1.02473,
        1.03274,
        1.04136,
        1.03705,
        1.01811,
        1.01387,
        1.02654,
        1.01968,
        1.0258,
        1.0121,
        1.00902,
        1.01506,
        1.01891,
        1.0189,
        1.02196,
        1.02529,
        1.01897,
        1.02096,
        1.01115,
        1.02437,
        1.03145,
        1.02906,
        1.02936,
        1.02233,
        1.01717,
        1.01849,
        1.02091,
        1.02369,
        1.02795,
        1.03125,
        1.03433,
        1.02673,
        1.03982,
        1.02665,
        1.02289,
        1.02086,
        1.01684,
        1.0232,
        1.03898,
        1.04172,
        1.02715,
        1.05156,
        1.05342,
        1.03986,
        1.02607,
        1.02872,
        1.03014,
        1.02294,
        1.0222,
        1.03362,
        1.04703,
        1.05591,
        1.04509,
        1.04281,
        1.02947,
        1.03489,
        1.04025,
        1.03696,
        1.03054,
        1.03216,
        1.03569,
        1.03535,
        1.0343,
        1.02628,
        1.02599,
        1.02488,
        1.01692,
        1.02222,
        1.0207,
        1.02568,
        1.01835,
        1.00815,
        1.01507,
        1.02086,
        1.01602,
        1.01104,
        1.00581,
        1.00825,
        1.01831,
        1.02249,
        1.01757,
        1.01659,
        1.01292,
        1.01948,
        1.0247,
        1.02058,
        1.01609,
        1.02594,
        1.02409,
        1.01343,
        1.01435,
        1.02454,
        1.02494,
        1.01603,
        1.00922,
        1.02414,
        1.02258,
        1.01909,
        1.00941,
        1.00418,
        1.00747,
        1.01427,
        1.01654,
        1.0148,
        1.01302,
        1.00552,
        1.00123,
        1.0145,
        1.01001,
        1.01232,
        1.01292,
        1.01193,
        1.01309,
        1.00531,
        0.982279,
        0.983749,
        0.992782,
        1.00136,
        0.997506,
        null,
        0.987622,
        0.984361,
        0.982681,
        0.976688,
        0.976489,
        0.97886,
        0.971695,
        null,
        1.01212,
        1.01218,
        1.01867,
        1.01574,
        1.02599,
        1.03244,
        1.02485,
        1.01708,
        1.00239,
        1.00213,
        1.00588,
        1.00949,
        1.02437,
        1.03142,
        1.00625,
        1.02138,
        1.0361,
        1.01554,
        1.01534,
        1.0026,
        1.0092,
        1.01584,
        1.00935,
        1.01178,
        1.01224,
        0.988878,
        1.02953,
        1.01834,
        1.01463,
        1.02158,
        1.00747,
        1.02258,
        1.02747,
        1.01584,
        1.01761,
        1.01961,
        1.02174,
        1.02174,
        1.01756,
        1.01503,
        1.02215,
        1.03463,
        1.02576,
        1.01972,
        1.02638,
        1.02078,
        1.01468,
        1.01933,
        1.01922,
        1.00938,
        1.00966,
        1.01953,
        1.01876,
        1.0173,
        1.01054,
        1.0083,
        1.02034,
        1.02531,
        1.01123,
        0.998014,
        0.988144,
        0.981192,
        0.980043,
        1.02147,
        1.01642,
        1.01979,
        1.04617,
        1.01129,
        1.00893,
        1.00923,
        1.02775,
        1.04659,
        1.05303,
        1.04272,
        1.03191,
        1.03338,
        1.04194,
        1.04348,
        1.03437,
        1.02922,
        1.02131,
        1.00814,
        null,
        1.0104,
        1.01184,
        null,
        1.03358,
        1.02041,
        1.00871,
        1.01376,
        1.02151,
        1.02802,
        1.02657,
        1.02141,
        1.01942,
        0.992333,
        0.994878,
        1.0068,
        1.0023,
        1.00816,
        1.01384,
        1.00462,
        0.991579,
        0.991934,
        0.986624,
        1.01004,
        1.00864,
        1.02101,
        1.01816,
        1.00606,
        1.00976,
        1.02372,
        1.00978,
        1.01056,
        1.02091,
        1.01582,
        1.00897,
        1.01739,
        1.02599,
        1.02274,
        1.02423,
        1.02287,
        1.02008,
        1.0217,
        1.03263,
        1.02243,
        1.02198,
        1.02568,
        1.02808,
        1.02925,
        1.0273,
        1.02491,
        1.02676,
        1.02786,
        1.03166,
        1.04015,
        1.03928,
        1.01933,
        1.02416,
        null,
        1.01687,
        1.01825,
        1.0231,
        1.02788,
        1.02818,
        1.02573,
        1.03,
        1.02807,
        1.02196,
        1.01119,
        1.02188,
        1.03317,
        1.02795,
        1.02005,
        1.02144,
        1.0265,
        1.02587,
        1.02018,
        1.01921,
        1.0253,
        1.0227,
        1.02369,
        1.02659,
        1.02487,
        1.02788,
        1.01928,
        1.02036,
        1.02645,
        1.01366,
        1.01313,
        1.01496,
        1.02085,
        1.01756,
        1.01877,
        1.02723,
        1.02395,
        1.02101,
        1.02295,
        1.02561,
        1.02228,
        1.01471,
        1.01294,
        1.0154,
        1.01114,
        1.00315,
        1.01003,
        1.016,
        1.01998,
        1.01367,
        1.00422,
        0.976083,
        0.98599,
        1.0198,
        1.01308,
        null,
        1.0098,
        1.01511,
        1.01008,
        1.01156,
        1.02041,
        1.01189,
        1.00548,
        1.0115,
        1.01002,
        1.01406,
        1.02309,
        1.02005,
        1.01426,
        1.02246,
        1.01332,
        1.01326,
        1.02192,
        1.0209,
        1.00364,
        1.00448,
        1.0053,
        1.0048,
        0.997162,
        0.99996,
        1.01027,
        1.00665,
        1.01775,
        1.01295,
        1.01659,
        1.02627,
        1.01513,
        1.03119,
        1.04899,
        1.03048,
        1.02298,
        1.03071,
        1.03067,
        1.03166,
        1.02713,
        1.02342,
        1.03324,
        1.04543,
        1.03865,
        1.02588,
        1.03297,
        1.02857,
        1.02544,
        1.02343,
        1.02696,
        1.02639,
        1.03065,
        1.02828,
        1.03096,
        1.03218,
        1.02441,
        1.02603,
        1.0346,
        1.02173,
        1.02438,
        1.0281,
        1.03521,
        1.03317,
        1.02266,
        1.01692,
        1.01971,
        1.02843,
        1.02969,
        1.02886,
        1.03153,
        1.01454,
        1.01383,
        1.019,
        1.02566,
        1.01897,
        1.02059,
        1.03516,
        1.03668,
        1.02792,
        1.02667,
        1.03063,
        1.03015,
        1.03093,
        1.03597,
        1.02979,
        1.01977,
        1.02952,
        1.03663,
        1.02143,
        1.01012,
        1.00958,
        1.02001,
        1.02412,
        1.01541,
        1.01348,
        1.02264,
        1.0181,
        1.01708,
        1.01317,
        1.00932,
        1.01339,
        1.0185,
        1.0132,
        1.02136,
        1.01338,
        1.01072,
        1.01961,
        1.03175,
        1.03536,
        1.01098,
        0.99228,
        0.99711,
        1.0187,
        1.04009,
        1.01103,
        1.02012,
        1.02019,
        1.02368,
        1.01653,
        1.0184,
        1.0135,
        1.02451,
        1.02161,
        1.02134,
        1.02308,
        1.02265,
        1.02239,
        1.02313,
        1.02207,
        1.02019,
        1.01979,
        1.01701,
        1.02565,
        1.01554,
        1.02681,
        1.02932,
        1.02215,
        1.02542,
        1.03184,
        1.02496,
        1.01807,
        1.02687,
        1.03005,
        1.02421,
        1.02965,
        1.03129,
        1.0362,
        1.0265,
        1.02118,
        1.02048,
        1.02365,
        1.0203,
        1.02224,
        1.02819,
        1.02673,
        1.02813,
        1.0235,
        1.02512,
        1.02322,
        1.02882,
        1.02203,
        1.02484,
        1.01697,
        1.01901,
        1.02614,
        1.025,
        1.01898,
        1.0202,
        1.02852,
        1.02922,
        1.02008,
        1.02137,
        1.01986,
        1.03016,
        1.03161,
        1.0272,
        1.02111,
        1.01467,
        1.01138,
        1.01347,
        1.01723,
        1.0175,
        1.01752,
        1.02613,
        1.02804,
        1.02373,
        1.02425,
        1.03094,
        1.0246,
        1.02641,
        1.02126,
        1.01657,
        1.0159,
        1.0196,
        1.02573,
        1.02449,
        1.02222,
        1.02702,
        1.02475,
        1.01317,
        1.01558,
        1.01596,
        1.01942,
        1.02103,
        1.01619,
        1.01467,
        1.02421,
        1.03015,
        1.01815,
        1.01602,
        1.00647,
        0.992347,
        0.989605,
        1.016,
        1.01776,
        1.01415,
        1.02753,
        1.04305,
        1.0384,
        1.02886,
        1.02679,
        1.03923,
        1.02845,
        1.01281,
        1.01248,
        1.02013,
        1.02049,
        1.00167,
        0.996141,
        1.01684,
        1.019,
        1.01949,
        1.03925,
        1.08097,
        1.07209,
        1.02615,
        1.00009,
        1.00098,
        1.0088,
        1.01653,
        1.02477,
        1.0322,
        1.02902,
        1.02431,
        1.01301,
        1.01288,
        1.02451,
        1.02573,
        1.02344,
        1.01977,
        1.01709,
        1.01565,
        1.01771,
        1.02266,
        1.01995,
        1.01197,
        1.01673,
        1.00563,
        1.00869,
        1.01806,
        1.01479,
        1.02,
        1.02855,
        1.02384,
        1.01495,
        1.01706,
        1.02158,
        1.01609,
        1.01344,
        1.01897,
        1.02741,
        1.03379,
        1.02121,
        1.01851,
        1.02196,
        1.02601,
        1.02616,
        1.02747,
        1.02598,
        1.02311,
        1.02674,
        1.03394,
        1.03849,
        1.03093,
        1.02464,
        1.02955,
        1.01959,
        1.03026,
        1.04103,
        1.03404,
        1.03441,
        1.03145,
        1.02422,
        1.02084,
        1.01597,
        1.00998,
        1.00549,
        1.01218,
        1.01626,
        1.02728,
        1.01588,
        1.01897,
        1.02305,
        1.01806,
        1.01568,
        1.02261,
        1.02459,
        1.02219,
        1.02451,
        1.01849,
        1.01814,
        1.0109,
        1.01886,
        1.01396,
        1.01179,
        1.02156,
        1.02627,
        1.02121,
        1.01735,
        1.02422,
        1.02917,
        1.02125,
        1.02411,
        1.02556,
        1.027,
        1.02473,
        1.01799,
        1.0211,
        1.02408,
        1.01968,
        1.02462,
        1.02453,
        1.0123,
        1.02226,
        1.01583,
        1.0175,
        1.02078,
        1.01739,
        1.01995,
        1.02099,
        1.01648,
        null,
        1.01423,
        1.01574,
        1.01646,
        1.01895,
        1.02478,
        1.02668,
        1.0136,
        1.01929,
        1.031,
        1.01857,
        1.01205,
        1.00487,
        0.998387,
        1.01124,
        1.025,
        1.01798,
        1.00792,
        1.01524,
        1.02094,
        1.01916,
        1.01911,
        1.03405,
        1.03789,
        1.04393,
        1.0313,
        1.03441,
        1.03023,
        1.02524,
        1.02912,
        1.03079,
        1.02966,
        1.02868,
        1.02966,
        1.03268,
        1.02768,
        1.02961,
        1.02725,
        1.02602,
        1.02357,
        1.01852,
        1.02661,
        1.02679,
        1.02687,
        1.02795,
        1.03182,
        1.0339,
        1.03366,
        1.03742,
        1.03847,
        1.03479,
        1.02402,
        1.02741,
        1.03145,
        1.03492,
        1.03422,
        1.03729,
        1.03831,
        1.04461,
        1.03616,
        1.02399,
        1.02668,
        1.02694,
        1.02268,
        1.0269,
        1.02133,
        1.01866,
        1.02786,
        1.02579,
        1.02038,
        1.02526,
        1.02476,
        1.02119,
        1.01886,
        1.01928,
        1.01902,
        1.01865,
        1.02501,
        1.02568,
        1.01877,
        1.01975,
        1.02545,
        1.02363,
        1.02397,
        1.01982,
        1.02371,
        1.02415,
        1.02125,
        1.02098,
        1.02127,
        1.0177,
        1.017,
        1.02719,
        1.02545,
        1.02555,
        1.0277,
        1.03018,
        1.0455,
        1.04056,
        1.0216,
        1.02206,
        1.03482,
        1.03921,
        1.04158,
        1.04101,
        1.0311
    ],
    "flux_error": [
        0.0107149,
        0.0110902,
        0.0107326,
        0.00882305,
        0.00912568,
        0.00965317,
        0.00796126,
        0.00889552,
        0.00901315,
        0.00813172,
        0.00687202,
        0.00683223,
        0.00786241,
        0.00781185,
        0.00836982,
        0.00882582,
        0.00681672,
        0.00633293,
        0.00493516,
        0.00482822,
        0.0048885,
        0.00526826,
        0.00565333,
        0.00417416,
        0.00368844,
        0.00362539,
        0.00360477,
        0.00321527,
        0.00373432,
        0.0037336,
        0.00369381,
        0.00386784,
        0.00393516,
        0.00429073,
        0.00466515,
        0.0049503,
        0.00507604,
        0.00507299,
        0.00609028,
        null,
        0.00701358,
        0.00645621,
        0.00748466,
        0.00784016,
        0.00571618,
        0.0056815,
        0.00508985,
        0.00381221,
        0.00445135,
        0.00526176,
        0.0073867,
        0.00696637,
        0.00571572,
        0.00413909,
        0.0036403,
        0.00355792,
        0.00347489,
        0.00301171,
        0.00273807,
        0.00317692,
        0.00322873,
        0.00264748,
        0.00270779,
        0.00280725,
        0.0025691,
        0.0024468,
        0.0027973,
        0.00289547,
        0.0028229,
        0.00310316,
        0.00383207,
        0.00490611,
        0.00491583,
        0.0055792,
        0.00670772,
        0.00750052,
        0.00631575,
        0.00541002,
        0.00499492,
        0.00448069,
        0.00363323,
        0.00326077,
        0.00326147,
        0.00315172,
        0.00290554,
        0.00258721,
        0.0023176,
        0.00230096,
        0.00222114,
        0.00213261,
        0.00226965,
        0.00274543,
        0.00280157,
        0.00260377,
        0.00235021,
        0.0023301,
        0.0023215,
        0.00273756,
        0.00283293,
        0.00239118,
        0.00339204,
        0.00407602,
        0.00498366,
        0.005937,
        0.00669768,
        0.00865915,
        0.00797412,
        0.00724707,
        0.00742086,
        0.00864207,
        0.00736706,
        0.0088146,
        0.00754223,
        null,
        0.00761716,
        0.00645737,
        0.00511126,
        0.00435242,
        0.00479187,
        0.00461665,
        0.0040768,
        0.00357815,
        0.00315072,
        0.00262869,
        0.00381643,
        0.00439893,
        0.00468959,
        0.00512765,
        0.00642582,
        0.00522874,
        0.0041901,
        0.00381089,
        0.00290721,
        0.0028938,
        0.00258262,
        0.00269986,
        0.00308367,
        0.00312985,
        0.00329538,
        0.00384373,
        0.00411651,
        0.0041402,
        0.00464425,
        0.00578878,
        0.0048735,
        0.00380614,
        0.00321779,
        0.00273635,
        0.00232712,
        0.00217281,
        0.00188291,
        0.00196159,
        0.00215729,
        0.00222582,
        0.00185967,
        0.00162252,
        0.00159493,
        0.00163705,
        0.00166802,
        0.00186661,
        0.00193256,
        0.00199725,
        0.00197469,
        0.00177973,
        0.00162809,
        0.00172331,
        0.00192184,
        0.00190804,
        0.00133255,
        0.00157328,
        0.00175451,
        0.00180555,
        0.00172351,
        0.00156074,
        0.00146628,
        0.00164067,
        0.00189504,
        0.00210339,
        0.00225054,
        0.00221019,
        0.00204613,
        0.00182593,
        0.00163034,
        0.0015972,
        0.00178679,
        0.00177127,
        0.0016453,
        0.00160563,
        0.00165578,
        0.00174884,
        0.00168167,
        0.00157039,
        0.0016997,
        0.00214209,
        0.0022916,
        0.00236576,
        0.00246304,
        0.00258774,
        0.00284795,
        0.00389755,
        0.00474741,
        0.00566256,
        0.00447766,
        0.0039223,
        0.00476283,
        0.00706535,
        0.00423918,
        0.00326295,
        0.00279477,
        0.00230015,
        0.00230947,
        0.00221358,
        0.00193731,
        0.00227326,
        0.00233738,
        0.00273622,
        0.00304057,
        0.00308492,
        0.0036894,
        0.00490639,
        0.00677069,
        0.00999297,
        0.00658242,
        0.0046988,
        0.003734,
        0.00343853,
        0.00369024,
        0.00304069,
        0.00241418,
        0.00195704,
        0.0017163,
        0.00163422,
        0.0024821,
        0.00260111,
        0.00247059,
        0.00247293,
        0.00263102,
        0.00331284,
        0.00348416,
        0.00324158,
        0.00280601,
        0.00236858,
        0.0020542,
        0.00209829,
        0.00206648,
        0.00153928,
        0.00141159,
        0.00158662,
        0.00167016,
        0.00161829,
        0.00153533,
        0.00155911,
        0.00168852,
        0.00172607,
        0.0016828,
        0.00171289,
        0.00155381,
        0.00158199,
        0.00165516,
        0.00164734,
        0.00143617,
        0.00140254,
        0.00147042,
        0.00152367,
        0.0015091,
        0.00150225,
        0.00137744,
        0.00147778,
        0.00164365,
        0.00169378,
        0.00152125,
        0.00137642,
        0.00142211,
        0.00150809,
        0.0014673,
        0.00147502,
        0.0017814,
        0.00185414,
        0.00177156,
        0.00180399,
        0.00172521,
        0.00155565,
        0.00157303,
        0.00166399,
        0.0014854,
        0.00150781,
        0.00139805,
        0.00145185,
        0.00160087,
        0.00140686,
        0.00169255,
        0.0015818,
        0.00139328,
        0.00132613,
        0.00135295,
        0.00125006,
        0.00135201,
        0.00152087,
        0.00159032,
        0.00135925,
        0.00146706,
        0.00148335,
        0.00146309,
        0.00150083,
        0.00154166,
        0.00147224,
        0.00141794,
        0.00141969,
        0.00149411,
        0.00164072,
        0.00154458,
        0.00146297,
        0.00153442,
        0.00181155,
        0.00159476,
        0.00164739,
        0.00154087,
        0.00139575,
        0.00165347,
        0.00157112,
        0.00142314,
        0.00138971,
        0.00149471,
        0.00161784,
        0.00155185,
        0.00170753,
        0.00169302,
        0.00144039,
        0.0013869,
        0.00153127,
        0.00148767,
        0.00145774,
        0.00152544,
        0.00141452,
        0.00153758,
        0.00165429,
        0.00168685,
        0.00164997,
        0.00182493,
        0.00143318,
        0.0014624,
        0.00168166,
        0.00169577,
        0.0015688,
        0.00177278,
        0.00204254,
        0.00227775,
        0.00247138,
        0.00313212,
        0.00466147,
        0.00664469,
        0.00760826,
        0.00567981,
        0.00450724,
        0.00372467,
        0.00293454,
        0.00217242,
        0.00176665,
        0.00203137,
        0.00194167,
        0.00197608,
        0.00216981,
        0.00207736,
        0.00174876,
        0.00227285,
        0.00282509,
        0.00317131,
        0.00403883,
        0.00468419,
        0.00605765,
        0.00716504,
        0.0071791,
        0.00572287,
        0.00451576,
        0.00466547,
        0.00425328,
        0.00239579,
        0.00246608,
        0.00234481,
        0.00232649,
        0.00227991,
        0.0020789,
        0.00192786,
        0.00186531,
        0.00193478,
        0.00210844,
        0.00228086,
        0.00195046,
        0.00193503,
        0.00205488,
        0.00212792,
        0.00199766,
        0.00204553,
        0.0019792,
        0.00205702,
        0.00213392,
        0.00192058,
        0.00270228,
        0.0024878,
        0.00229151,
        0.00234805,
        0.00242507,
        0.00295104,
        0.00281063,
        0.00274847,
        0.0029817,
        0.00326018,
        0.00282212,
        0.00290374,
        0.00322255,
        0.0034322,
        0.00310559,
        0.00392354,
        0.00457195,
        0.00503038,
        0.00524823,
        0.00503668,
        0.00654153,
        null,
        0.00877764,
        0.00864868,
        0.00912212,
        0.00793284,
        0.00714061,
        0.00606274,
        0.00476465,
        0.00407093,
        0.00413578,
        0.00394161,
        0.00355771,
        0.00315001,
        0.00299337,
        0.0031701,
        0.00281976,
        0.00260361,
        0.00281958,
        0.00313801,
        0.00275305,
        0.00290032,
        0.00289337,
        0.00250732,
        0.00247256,
        0.00265785,
        0.00289488,
        0.00294447,
        0.00275678,
        0.00270477,
        0.00258133,
        0.00255473,
        0.00257916,
        0.00253778,
        0.00216206,
        0.00273041,
        0.00264093,
        0.00238849,
        0.00253674,
        0.00311761,
        0.00288259,
        0.00279924,
        0.00271523,
        0.00253552,
        0.00306382,
        0.00344269,
        0.00331613,
        0.00318949,
        0.00349446,
        0.00334268,
        0.00297891,
        0.00341065,
        0.00388278,
        0.0035623,
        0.00359572,
        0.00421325,
        0.00449407,
        0.00446133,
        0.00444893,
        0.00514378,
        0.00435737,
        0.00446513,
        0.00522232,
        0.00570553,
        0.0058353,
        0.00645155,
        0.00777136,
        0.00887493,
        0.00877433,
        null,
        0.00660423,
        0.00536845,
        0.00607975,
        0.00651145,
        0.00689099,
        0.00698535,
        0.00591811,
        0.00566712,
        0.0062038,
        0.00650014,
        0.00605915,
        0.0051262,
        0.00376768,
        0.0037989,
        0.00393347,
        0.00350687,
        0.00260455,
        0.00298236,
        0.00307295,
        0.00280885,
        0.00256028,
        0.00326839,
        0.00279017,
        0.00274218,
        0.00255866,
        0.00214974,
        0.00205033,
        0.00254839,
        0.00237233,
        0.00220402,
        0.00226943,
        0.0021784,
        0.00224358,
        0.00195037,
        0.00174344,
        0.00179266,
        0.00188652,
        0.00207926,
        0.00197371,
        0.00201471,
        0.00216957,
        0.00179398,
        0.0017432,
        0.00166367,
        0.00169283,
        0.00173436,
        0.00142491,
        0.00164387,
        0.00154816,
        0.00153483,
        0.00168485,
        0.00168915,
        0.00170302,
        0.00171141,
        0.001602,
        0.00150653,
        0.00181564,
        0.00188691,
        0.00170914,
        0.00155524,
        0.00156137,
        0.0017022,
        0.00159475,
        0.00164387,
        0.00180743,
        0.00191751,
        0.00167552,
        0.00159099,
        0.00156351,
        0.00160031,
        0.00163001,
        0.00151377,
        0.00162005,
        0.00182867,
        0.00188902,
        0.00177534,
        0.00166255,
        0.00184096,
        0.00157814,
        0.00155623,
        0.00181302,
        0.00186626,
        0.00189902,
        0.00158021,
        0.00147259,
        0.00164723,
        0.00182224,
        0.0019236,
        0.00175976,
        0.00171114,
        0.00172931,
        0.00152746,
        0.00176659,
        0.00161648,
        0.00167247,
        0.00179105,
        0.00148038,
        0.00174136,
        0.00162787,
        0.00156392,
        0.0015585,
        0.00143766,
        0.00138299,
        0.00153918,
        0.00156615,
        0.00151259,
        0.00157655,
        0.00147226,
        0.00150351,
        0.00158134,
        0.00158836,
        0.00145527,
        0.00164156,
        0.00153554,
        0.00176103,
        0.00202838,
        0.00184026,
        0.00167655,
        0.00154503,
        0.00180738,
        0.00207005,
        0.00184352,
        0.00154666,
        0.00170967,
        0.00186378,
        0.00182403,
        0.00159807,
        0.00176041,
        0.00178769,
        0.00208157,
        0.00227336,
        0.00203824,
        0.00207067,
        0.00184179,
        0.0017989,
        0.00188981,
        0.00197239,
        0.00198264,
        0.00198479,
        0.0020079,
        0.00207719,
        0.00219804,
        0.00231687,
        0.00255547,
        0.00269405,
        0.00269296,
        0.00268762,
        0.00324617,
        0.00307041,
        0.00293351,
        0.00297922,
        0.0031872,
        0.00332707,
        0.00456336,
        0.00475864,
        0.00485485,
        0.00550372,
        0.00628616,
        0.00637437,
        null,
        0.00647011,
        0.0056083,
        0.00437672,
        0.00395149,
        0.00432824,
        0.00497116,
        0.00446342,
        0.00392185,
        0.00336062,
        0.00271127,
        0.00223726,
        0.00291516,
        0.00267803,
        0.00272242,
        0.00271518,
        0.00255195,
        0.00264443,
        0.0022241,
        0.00210246,
        0.00218213,
        0.00231592,
        0.00232123,
        0.00205883,
        0.00232035,
        0.00240826,
        0.00218825,
        0.00203959,
        0.00219118,
        0.00246834,
        0.0027602,
        0.00309704,
        0.00353936,
        0.00295128,
        0.00298605,
        0.00268249,
        0.00217222,
        0.00206913,
        0.00256094,
        0.00195749,
        0.00192156,
        0.00225758,
        0.00218767,
        0.00181131,
        0.00206387,
        0.00210849,
        0.00216963,
        0.00251685,
        0.00242203,
        0.00256172,
        0.00326898,
        0.00382745,
        0.00392577,
        0.00522349,
        0.00524088,
        0.00435759,
        0.00325303,
        0.00243789,
        0.0019346,
        0.00184432,
        0.00198569,
        0.00197277,
        0.00173944,
        0.0017504,
        0.00195325,
        0.00191815,
        0.00190364,
        0.00192921,
        0.00172747,
        0.00174983,
        0.00189885,
        0.00185769,
        0.00164866,
        0.00156152,
        0.00168722,
        0.00163174,
        0.00175298,
        0.00190802,
        0.00174666,
        0.00178438,
        0.00166034,
        0.0017244,
        0.00178473,
        0.00156556,
        0.00167529,
        0.00166839,
        0.00155716,
        0.00152175,
        0.00168582,
        0.00172559,
        0.00225733,
        0.00280183,
        0.0030943,
        0.00311332,
        0.00344146,
        0.00429261,
        0.00415862,
        0.00368773,
        0.0033272,
        0.00257603,
        0.00229024,
        0.00220484,
        0.00212882,
        0.00194944,
        0.00166889,
        0.00147275,
        0.00166264,
        0.0017201,
        0.00164868,
        0.00191827,
        0.00186231,
        0.00181003,
        0.00185732,
        0.00192326,
        0.00182813,
        0.00166965,
        0.00159752,
        0.00153162,
        0.00146991,
        0.00144144,
        0.00148025,
        0.00145237,
        0.00159863,
        0.00171282,
        0.00159827,
        0.00168534,
        0.00156296,
        0.0016788,
        0.00181931,
        0.00175984,
        0.00153579,
        0.00163359,
        0.00170092,
        0.00171098,
        0.00163379,
        0.00166645,
        0.00165564,
        0.00166792,
        0.00159632,
        0.00153819,
        0.00181861,
        0.00167244,
        0.00159595,
        0.00155802,
        0.00162386,
        0.00160241,
        0.00168371,
        0.00161016,
        0.00155061,
        0.00154305,
        0.00161335,
        0.00151309,
        0.00175275,
        0.00191927,
        0.00190943,
        0.0018241,
        0.00178054,
        0.0016904,
        0.00178941,
        0.00163765,
        0.00155614,
        0.00171497,
        0.0016776,
        0.0017871,
        0.00177872,
        0.00176667,
        0.0016398,
        0.00176357,
        0.00175133,
        0.0016779,
        0.00167292,
        0.00183927,
        0.00185025,
        0.00180342,
        0.00171838,
        0.00170615,
        0.00196037,
        0.00199568,
        0.00194802,
        0.00171652,
        0.0014944,
        0.00172689,
        0.00183596,
        0.0018457,
        0.00189173,
        0.00171911,
        0.00169805,
        0.0016875,
        0.00166758,
        0.00187723,
        0.00175978,
        0.00156672,
        0.0017349,
        0.00183042,
        0.00181376,
        0.00189914,
        0.00185755,
        0.0019274,
        0.00180198,
        0.00176073,
        0.00174279,
        0.00174302,
        0.00174683,
        0.00175927,
        0.00177985,
        0.0018345,
        0.00189217,
        0.00203148,
        0.00226309,
        0.00228261,
        0.00208843,
        0.00200326,
        0.00218063,
        0.00198307,
        0.00201057,
        0.00219531,
        0.00241146,
        0.00235281,
        0.00265389,
        0.00255757,
        0.00261674,
        0.00268317,
        0.00256988,
        0.00275744,
        0.00280257,
        0.00304446,
        0.00313166,
        0.00299295,
        0.00216062,
        0.00247332,
        0.0027761,
        0.00316505,
        0.00364524,
        0.00416635,
        0.00460757,
        0.00569934,
        0.00740303,
        0.00624498,
        0.00441074,
        0.00354916,
        0.0033056,
        0.00328886,
        0.0029083,
        0.00220688,
        0.00225202,
        0.00335229,
        0.00328421,
        0.0027179,
        0.00259697,
        0.002493,
        0.00231366,
        0.00196765,
        0.00252805,
        0.00237511,
        0.00230947,
        0.00242375,
        0.00255338,
        0.00225091,
        0.00237579,
        0.00248318,
        0.00258181,
        0.00254977,
        0.00240675,
        0.00245582,
        0.00246467,
        0.00246606,
        0.00242961,
        0.00263603,
        0.00248591,
        0.00261116,
        0.0027925,
        0.00292844,
        0.00285293,
        0.0033891,
        0.00381202,
        0.00409456,
        0.00418355,
        0.00321112,
        null,
        0.00651022,
        0.00580866,
        0.00495907,
        0.00490268,
        0.0058527,
        0.00540925,
        0.00597694,
        0.00611288,
        0.00591507,
        0.0058644,
        0.00579972,
        0.00638631,
        0.00643177,
        0.00633944,
        null,
        0.00596934,
        0.0051228,
        0.00591854,
        0.00624873,
        0.00575914,
        0.00479518,
        0.00430976,
        0.0044422,
        0.00421445,
        0.00380124,
        0.00389951,
        0.00378979,
        0.00438386,
        0.00474479,
        0.00471185,
        0.0045817,
        0.00426154,
        0.00423859,
        0.00461635,
        0.0049824,
        0.00453516,
        0.00638428,
        0.00634879,
        null,
        0.00434794,
        0.00484229,
        0.0052091,
        0.00461084,
        0.0045046,
        0.00361731,
        0.00352351,
        0.00318802,
        0.00284154,
        0.00295767,
        0.00298116,
        0.00308525,
        0.00304878,
        0.00247252,
        0.00234796,
        0.00231599,
        0.00253817,
        0.00265891,
        0.00241773,
        0.00237546,
        0.00249977,
        0.00235108,
        0.00235,
        0.00250583,
        0.00244217,
        0.002685,
        0.00249931,
        0.00246311,
        0.00230852,
        0.002102,
        0.002067,
        0.00211383,
        0.00213085,
        0.00218679,
        0.00218579,
        0.00196563,
        0.00210693,
        0.00196311,
        0.00183324,
        0.00180754,
        0.00174107,
        0.00176254,
        0.00198521,
        0.00204304,
        0.00199161,
        0.00197259,
        0.00182812,
        0.00187421,
        0.00179194,
        0.00173606,
        0.00183473,
        0.00199732,
        0.00223533,
        0.00212695,
        0.00214091,
        0.00227576,
        0.00225461,
        0.00196662,
        0.00187925,
        0.00213872,
        0.00224027,
        0.00212786,
        0.00206357,
        0.00226981,
        0.00247619,
        0.0025631,
        0.00281511,
        0.00320079,
        0.00433014,
        0.00519537,
        0.00562092,
        0.00572117,
        0.00454705,
        0.0039173,
        0.00386481,
        0.00277593,
        0.00238509,
        0.00232594,
        0.00236069,
        0.0022234,
        0.00186143,
        0.0018851,
        0.00184562,
        0.00198888,
        0.00206512,
        0.00186171,
        0.00172866,
        0.00170845,
        0.00170157,
        0.00172395,
        0.00169356,
        0.00179533,
        0.00184253,
        0.00184239,
        0.001989,
        0.00201585,
        0.00194221,
        0.00203884,
        0.00190067,
        0.00176307,
        0.00176356,
        0.00182614,
        0.00179492,
        0.00178361,
        0.0018164,
        0.00185786,
        0.00218676,
        0.00194309,
        0.00194788,
        0.00196127,
        0.00184453,
        0.00177625,
        0.00189502,
        0.00158149,
        0.00151415,
        0.00164003,
        0.00153642,
        0.00155178,
        0.00164263,
        0.00172405,
        0.00166846,
        0.00161845,
        0.00142586,
        0.00159575,
        0.00157148,
        0.00169653,
        0.00191082,
        0.00170544,
        0.00151781,
        0.00156783,
        0.00158353,
        0.00158559,
        0.00161021,
        0.00138284,
        0.00154876,
        0.00161311,
        0.00175541,
        0.00171022,
        0.00160958,
        0.0019095,
        0.00251729,
        0.0032234,
        0.00287948,
        0.00265851,
        0.00219373,
        0.00175568,
        0.00168255,
        0.00168558,
        0.00181449,
        0.0017154,
        0.00173578,
        0.00167343,
        0.00175317,
        0.00177758,
        0.00184188,
        0.00159825,
        0.00155386,
        0.00169941,
        0.00167587,
        0.00165717,
        0.00164304,
        0.00173976,
        0.00176268,
        0.00178076,
        0.00173893,
        0.00158706,
        0.00164035,
        0.00160106,
        0.00165591,
        0.00166787,
        0.0016439,
        0.001581,
        0.00163072,
        0.0018775,
        0.0021776,
        0.00234669,
        0.00247443,
        0.00247871,
        0.00232555,
        0.0024372,
        0.00247582,
        0.0024588,
        0.00254595,
        0.00323339,
        0.00473987,
        0.00678722,
        0.00708994,
        0.00557848,
        0.00368453,
        0.00397976,
        0.00373859,
        0.00350769,
        0.00351348,
        0.00350925,
        0.00286691,
        0.00259999,
        0.00240162,
        0.0021646,
        0.00188418,
        0.00174167,
        0.00168239,
        0.00160494,
        0.00151583,
        0.00153446,
        0.00167476,
        0.00161284,
        0.00151568,
        0.00144984,
        0.00150623,
        0.00157674,
        0.00148961,
        0.00160346,
        0.0016135,
        0.00159067,
        0.00157418,
        0.00161722,
        0.00160134,
        0.00156819,
        0.00159495,
        0.00170233,
        0.00179242,
        0.00151206,
        0.00145238,
        0.00144106,
        0.00152809,
        0.00147274,
        0.00138971,
        0.00144763,
        0.00150552,
        0.00150709,
        0.00165132,
        0.00162125,
        0.00141545,
        0.00141836,
        0.00160691,
        0.00151481,
        0.00139912,
        0.00134322,
        0.00134952,
        0.00140294,
        0.00141353,
        0.00139234,
        0.00133054,
        0.00141743,
        0.00143224,
        0.0013685,
        0.00137937,
        0.00145277,
        0.00138496,
        0.00132113,
        0.00148467,
        0.00159801,
        0.00156014,
        0.00147965,
        0.00142935,
        0.00126055,
        0.00125687,
        0.00141184,
        0.00147903,
        0.00146561,
        0.0013504,
        0.00153395,
        0.00150964,
        0.00149118,
        0.00149256,
        0.00132162,
        0.00129774,
        0.00131431,
        0.001432,
        0.00150237,
        0.0014511,
        0.00160897,
        0.0014465,
        0.00139204,
        0.00138342,
        0.00135482,
        0.0013755,
        0.00139698,
        0.0013833,
        0.00136019,
        0.00136749,
        0.00136968,
        0.00138337,
        0.00131804,
        0.00136651,
        0.00145853,
        0.00147176,
        0.00174129,
        0.0016041,
        0.00171322,
        0.00205318,
        0.00255407,
        0.0035742,
        0.0047013,
        0.00441138,
        0.00370166,
        0.00293628,
        0.00218606,
        0.00289429,
        0.00366816,
        0.00439237,
        0.00429271,
        0.00419828,
        0.00359219,
        0.00338384,
        0.00272029,
        0.00228867,
        0.00208234,
        0.00178374,
        0.00177179,
        0.00184134,
        0.00178592,
        0.00156518,
        0.00157564,
        0.00185315,
        0.00209969,
        0.00182629,
        0.00174064,
        0.0016928,
        0.0015948,
        0.001742,
        0.0020179,
        0.0022179,
        0.00260521,
        0.00257075,
        0.00235595,
        0.00221804,
        0.00214838,
        0.00194595,
        0.00210942,
        0.00232311,
        0.00228607,
        0.00206244,
        0.00210925,
        0.00220418,
        0.0024779,
        0.00288085,
        0.00314906,
        0.00323434,
        0.00306016,
        0.00351709,
        0.00428609,
        null,
        0.00405915,
        0.00354493,
        0.00349146,
        0.00296544,
        0.00321846,
        0.00318555,
        0.00284857,
        0.00241964,
        0.00245528,
        0.00242956,
        0.00233449,
        0.00220585,
        0.00199126,
        0.00196151,
        0.00188393,
        0.0019621,
        0.00200818,
        0.00208075,
        0.00246269,
        0.00292658,
        0.00366846,
        0.00511081,
        0.00403577,
        0.00298013,
        0.00292057,
        0.00228131,
        0.00212943,
        0.00191399,
        0.00180521,
        0.00166214,
        0.00158746,
        0.00167969,
        0.00179909,
        0.00164103,
        0.00147975,
        0.00154479,
        0.00156879,
        0.00158918,
        0.00151878,
        0.00150955,
        0.00150282,
        0.00142755,
        0.0014699,
        0.00147762,
        0.00141499,
        0.00140734,
        0.00148922,
        0.00150728,
        0.00147505,
        0.00140764,
        0.00147358,
        0.00148743,
        0.00141802,
        0.00150058,
        0.00145626,
        0.00149004,
        0.00157983,
        0.00153088,
        0.00159006,
        0.00179566,
        0.00201544,
        0.00231325,
        0.00279547,
        0.00296448,
        0.00288906,
        0.00264967,
        0.00223244,
        0.00201046,
        0.00173566,
        0.00155719,
        0.00162249,
        0.00172191,
        0.00183918,
        0.00169408,
        0.00159533,
        0.00149292,
        0.00145087,
        0.00141729,
        0.00140233,
        0.00135626,
        0.00144879,
        0.0014513,
        0.00130777,
        0.00129522,
        0.00136455,
        0.00133636,
        0.00140219,
        0.00137962,
        0.00132099,
        0.00128738,
        0.0012768,
        0.00130501,
        0.00132157,
        0.00137802,
        0.00134067,
        0.00133005,
        0.0013077,
        0.00136756,
        0.00143033,
        0.00129696,
        0.00143683,
        0.00147997,
        0.00145924,
        0.00142755,
        0.00135237,
        0.0014387,
        0.00147492,
        0.00143452,
        0.0014033,
        0.00139074,
        0.00126432,
        0.00139975,
        0.00153365,
        0.00151696,
        0.00134127,
        0.00122124,
        0.00141358,
        0.00132638,
        0.00126359,
        0.00125169,
        0.00127849,
        0.00130924,
        0.00128604,
        0.00143457,
        0.00137422,
        0.00130593,
        0.00131648,
        0.00133901,
        0.00130614,
        0.00136957,
        0.00150297,
        0.0015212,
        0.00137897,
        0.00138029,
        0.00153699,
        0.00143603,
        0.0014022,
        0.00150365,
        0.00161057,
        0.00147889,
        0.00149914,
        0.00149458,
        0.00143642,
        0.00136038,
        0.00138734,
        0.00141023,
        0.00146475,
        0.00142916,
        0.00138855,
        0.00143987,
        0.0014348,
        0.00140904,
        0.00143882,
        0.0014584,
        0.00140032,
        0.0013846,
        0.00157549,
        0.00169335,
        0.0016571,
        0.00149484,
        0.00137999,
        0.00148661,
        0.00136496,
        0.00136628,
        0.00135484,
        0.00134895,
        0.00141707,
        0.00144623,
        0.00138777,
        0.00140936,
        0.00149076,
        0.00151779,
        0.00151257,
        0.00151522,
        0.00155045,
        0.00150842,
        0.00149243,
        0.0017747,
        0.00182958,
        0.00180267,
        0.00165127,
        0.00158979,
        0.00161241,
        0.00156498,
        0.0015464,
        0.0015093,
        0.00146693,
        0.00136557,
        0.00140261,
        0.00155775,
        0.00154487,
        0.00155365,
        0.00187907,
        0.00231103,
        0.00216938,
        0.0018167,
        0.00152493,
        0.00173862,
        0.0017904,
        0.0015717,
        0.0015526,
        0.00146378,
        0.00144848,
        0.00154766,
        0.00157441,
        0.00152348,
        0.00146428,
        0.00143554,
        0.00155524,
        0.00156079,
        0.00141373,
        0.00153265,
        0.0017243,
        0.00170308,
        0.00176985,
        0.0016364,
        0.00180607,
        0.0018228,
        0.00174407,
        0.00166645,
        0.00159201,
        0.00169696,
        0.00164269,
        0.00187739,
        0.00183485,
        0.00159344,
        0.00161462,
        0.00156282,
        0.00150861,
        0.00169784,
        0.00166741,
        0.00174749,
        0.0017141,
        0.00174793,
        0.00172949,
        0.00168107,
        0.00178439,
        0.00185959,
        0.00170781,
        0.00176482,
        0.00190253,
        0.0018533,
        0.00168192,
        0.00199291,
        0.00220379,
        0.00231663,
        0.00256058,
        0.00244527,
        0.00250862,
        0.00264433,
        0.00281473,
        0.00296758,
        0.00312656,
        0.00346768,
        0.00400622,
        0.00435335,
        0.00404059,
        0.00501384,
        null,
        0.00490474,
        0.00475407,
        0.004842,
        0.00397833,
        0.00347614,
        0.00289868,
        0.00264454,
        0.0026806,
        0.00242961,
        0.00225105,
        0.00229385,
        0.00213647,
        0.00202257,
        0.00195687,
        0.00197516,
        0.00194159,
        0.00196429,
        0.00192796,
        0.00195234,
        0.00191988,
        0.00171358,
        0.00171599,
        0.00171981,
        0.0017808,
        0.00177213,
        0.00162168,
        0.00170902,
        0.00165848,
        0.00161003,
        0.00166026,
        0.00156325,
        0.00149311,
        0.00153938,
        0.00155694,
        0.00155342,
        0.00152949,
        0.00149916,
        0.00147571,
        0.00151797,
        0.00138924,
        0.00152344,
        0.00157862,
        0.00158001,
        0.0017362,
        0.00174995,
        0.00173405,
        0.00167493,
        0.00156552,
        0.00158296,
        0.00161308,
        0.00137411,
        0.00150495,
        0.00153922,
        0.00151628,
        0.00153697,
        0.00161608,
        0.00152076,
        0.00156288,
        0.00157499,
        0.00151736,
        0.00139095,
        0.00154185,
        0.0014797,
        0.00148207,
        0.00148886,
        0.00144706,
        0.00144627,
        0.00146642,
        0.0015165,
        0.00147085,
        0.00141448,
        0.00145518,
        0.00141832,
        0.00167633,
        0.0015381,
        0.00148876,
        0.00153554,
        0.00148531,
        0.00156072,
        0.00146829,
        0.00165095,
        0.00158172,
        0.00142921,
        0.00153397,
        0.00155021,
        0.00148875,
        0.00139914,
        0.00142613,
        0.00153697,
        0.00154679,
        0.0015597,
        0.0014361,
        0.00153889,
        0.00159807,
        0.00157738,
        0.00177982,
        0.00149532,
        0.00166136,
        0.00164774,
        0.00146133,
        0.00129479,
        0.00135588,
        0.00159668,
        0.00135556,
        0.00139066,
        0.00143833,
        0.00155731,
        0.00152529,
        0.00164225,
        0.00170958,
        0.00165566,
        0.00155096,
        0.00163759,
        0.00167568,
        0.00163373,
        0.0017112,
        0.00185213,
        0.00189558,
        0.00184277,
        0.00224202,
        0.00262931,
        0.0028323,
        0.00292025,
        null,
        0.00314231,
        0.00305867,
        0.00305175,
        0.00274721,
        0.00243449,
        0.00211804,
        0.00186939,
        0.00183432,
        0.0018033,
        0.0017872,
        0.00162832,
        0.00153365,
        0.00155541,
        0.00149842,
        0.00148825,
        0.00144893,
        0.00149559,
        0.00151526,
        0.0014356,
        0.00132535,
        0.00132863,
        0.00129218,
        0.00149796,
        0.00159447,
        0.00151995,
        0.00141069,
        0.00123886,
        0.00136749,
        0.00138368,
        0.00143612,
        0.00157784,
        0.00138605,
        0.00141805,
        0.00130286,
        0.00137729,
        0.00145261,
        0.00136708,
        0.00140388,
        0.00114547,
        0.00118254,
        0.00115271,
        0.00116959,
        0.00133168,
        0.0012596,
        0.00140843,
        0.0014085,
        0.00132126,
        0.00128719,
        0.0014359,
        0.00180904,
        0.00141481,
        0.00131394,
        0.00125265,
        0.00127662,
        0.00144927,
        0.00149514,
        0.00126252,
        0.00130166,
        0.00157278,
        0.0017112,
        0.00146592,
        0.00124614,
        0.00140165,
        0.00136165,
        0.00127293,
        0.00126029,
        0.00137018,
        0.00152733,
        0.00156617,
        0.00140081,
        0.00126436,
        0.00131073,
        0.00160433,
        0.00213484,
        0.00161201,
        0.00130946,
        0.00119581,
        0.00125766,
        0.00144674,
        0.00152396,
        0.00141563,
        0.00141375,
        0.00145078,
        0.0014276,
        0.00133454,
        0.00145534,
        0.00134773,
        0.00140237,
        0.00135122,
        0.00132705,
        0.00154702,
        0.00170594,
        0.00214678,
        0.00195346,
        0.00186783,
        0.00176187,
        0.00133847,
        0.00147084,
        0.00166393,
        0.0017754,
        0.00185071,
        0.00180989,
        0.00163045,
        0.00167928,
        0.00167255,
        0.00182388,
        0.00184143,
        0.00238824,
        0.00366248,
        0.00281042,
        0.002568,
        0.00195982,
        0.00148016,
        0.00130642,
        0.00133379,
        0.00132638,
        0.00150859,
        0.00153431,
        0.00145259,
        0.00150668,
        0.00179608,
        0.0017691,
        0.00155955,
        0.0015947,
        0.0015688,
        0.00153846,
        0.00170893,
        0.00209093,
        0.00177576,
        0.00174989,
        0.00180637,
        0.00174508,
        0.00155834,
        0.00165787,
        0.00164224,
        0.0016958,
        0.00169042,
        0.0015986,
        0.00156462,
        0.00200916,
        0.00207022,
        0.0020151,
        0.00186153,
        0.00194741,
        0.00234601,
        0.00221941,
        0.00203691,
        0.00212387,
        0.00222761,
        0.00220432,
        0.00212989,
        0.00240556,
        0.00281476,
        0.00266663,
        0.00259166,
        0.00275676,
        0.00311189,
        0.00362134,
        null,
        0.00479471,
        0.00326171,
        0.00320781,
        0.00296552,
        0.00265724,
        0.00272376,
        0.00269864,
        0.00245174,
        0.00269784,
        0.00286079,
        0.00290937,
        0.00282205,
        0.00283585,
        0.00307131,
        0.00335663,
        0.00268197,
        0.00301471,
        0.00279307,
        0.00272327,
        0.00311779,
        0.00341699,
        0.00308193,
        0.00470453,
        0.00456015,
        0.00441891,
        0.00540087,
        0.00694995,
        0.00665497,
        0.0062618,
        0.00460738,
        0.00416317,
        0.00451068,
        0.0042556,
        0.00586502,
        0.00364817,
        0.00333701,
        0.00321303,
        0.00269972,
        0.00230598,
        0.00278068,
        0.00282875,
        0.00290825,
        0.0033933,
        0.00369375,
        0.00342182,
        0.00334612,
        0.00366465,
        0.00378142,
        0.00402784,
        0.00428754,
        null,
        0.00725413,
        0.00633428,
        0.00637784,
        0.0065141,
        0.00644324,
        0.00615942,
        0.00543105,
        0.00545758,
        0.00477873,
        0.00469495,
        0.00388335,
        0.00341158,
        0.00324269,
        0.00297978,
        0.0033016,
        0.00334421,
        0.00358518,
        0.00358347,
        0.00403009,
        0.00472824,
        0.00615572,
        0.00479921,
        0.00385495,
        0.00361892,
        0.00347712,
        0.00263224,
        0.00259367,
        0.00282127,
        0.00267053,
        0.0026048,
        0.00272138,
        0.00267218,
        0.00259397,
        0.00248331,
        0.0025205,
        0.00286703,
        0.00323727,
        0.0029528,
        0.00421613,
        0.0050423,
        0.00399564,
        0.00355992,
        0.00349712,
        0.00265332,
        0.00217329,
        0.00232674,
        0.00218734,
        0.00217291,
        0.00233694,
        0.00218079,
        0.00185542,
        0.00207144,
        0.00207733,
        0.00204475,
        0.00217881,
        0.00239903,
        0.00240246,
        0.0027642,
        0.00313778,
        0.00561346,
        0.00564041,
        0.00365761,
        0.00352274,
        0.00321918,
        0.00265226,
        0.00224697,
        0.00213427,
        0.00205492,
        0.00166927,
        0.00206939,
        0.00195328,
        0.00199961,
        0.00181893,
        0.00176621,
        0.00159105,
        0.0016079,
        0.00164516,
        0.00163664,
        0.00161722,
        0.00164368,
        0.0014763,
        0.00165566,
        0.00161458,
        0.00165991,
        0.00175233,
        0.00164127,
        0.00178144,
        0.0016315,
        0.00179484,
        0.00224027,
        0.00251025,
        0.00224998,
        0.00265153,
        0.00405093,
        0.00607295,
        0.00646298,
        0.00525193,
        0.00409105,
        0.00300783,
        0.00212736,
        0.00203025,
        0.0020846,
        0.00203717,
        0.0019469,
        0.00164991,
        0.00168459,
        0.00186952,
        0.00196657,
        0.00207598,
        0.00240283,
        0.00275931,
        0.00300853,
        0.00298294,
        0.00295459,
        0.00303374,
        0.0030309,
        0.00227817,
        0.00198795,
        0.00205499,
        0.00169156,
        0.00170866,
        0.00175517,
        0.0017618,
        0.00178655,
        0.00182803,
        0.00183943,
        0.00179204,
        0.00174124,
        0.00157632,
        0.00159859,
        0.00164086,
        0.00166975,
        0.00171654,
        0.00181021,
        0.00159526,
        0.00173618,
        0.00185309,
        0.00192335,
        0.00197882,
        0.00189858,
        0.00203362,
        0.00195955,
        0.0018207,
        0.00178386,
        0.00185356,
        0.00180628,
        0.0020752,
        0.00203296,
        0.00206275,
        0.00197904,
        0.00180322,
        0.00203795,
        0.00193578,
        0.00210635,
        0.00231792,
        0.00250033,
        0.00262263,
        0.0026573,
        0.00256507,
        0.00306131,
        null,
        0.00366392,
        0.003618,
        0.00363464,
        0.00558176,
        0.00571982,
        0.00425382,
        0.00398736,
        0.00352991,
        0.0030959,
        0.0028746,
        0.00273184,
        0.00240778,
        0.00217765,
        0.00260052,
        0.00267443,
        0.00255174,
        0.00237188,
        0.00220345,
        0.00211195,
        0.00228117,
        0.0022053,
        0.00226742,
        0.00234732,
        0.00222478,
        0.00235539,
        0.00219302,
        0.00241943,
        0.00236221,
        0.00226178,
        0.00247225,
        0.00239191,
        0.0022033,
        0.00267367,
        0.00271681,
        0.00242488,
        0.00224627,
        0.00219965,
        0.00203738,
        0.00263465,
        0.00273171,
        0.00282286,
        0.0033105,
        0.00324727,
        0.00364081,
        0.00347599,
        0.00335745,
        0.00357164,
        0.00373522,
        0.00282607,
        0.00299203,
        0.00322751,
        0.00405103,
        0.00427519,
        0.00363221,
        0.00341412,
        0.004303,
        0.00407195,
        0.00394358,
        0.00381855,
        0.00393722,
        0.0049808,
        0.00621433,
        0.00719958,
        0.00685116,
        0.00911369,
        null,
        0.00596344,
        0.00566979,
        0.00542384,
        0.00524754,
        0.00488332,
        0.00401509,
        0.00482586,
        0.00532143,
        0.00464011,
        0.00432709,
        0.00446553,
        0.00410782,
        0.00435637,
        null,
        0.00439391,
        0.00416627,
        0.00452838,
        0.00506222,
        0.00498357,
        0.00486248,
        0.00614792,
        0.00715031,
        0.00627265,
        0.00522458,
        0.00486547,
        0.00475502,
        0.00340668,
        0.00318002,
        0.00308893,
        0.00298549,
        0.00273815,
        0.00246661,
        0.00240561,
        0.00236071,
        0.00281761,
        0.00257274,
        0.00237795,
        0.00231717,
        0.00206537,
        0.00179453,
        0.00212966,
        0.00266457,
        0.00256969,
        0.0024687,
        0.00234143,
        0.00245755,
        0.00236616,
        0.00214493,
        0.00206263,
        0.00216465,
        0.00228279,
        0.00202733,
        0.0019799,
        0.00198199,
        0.0021422,
        0.00228307,
        0.002285,
        0.00189493,
        0.00201841,
        0.00193683,
        0.00200227,
        0.00208569,
        0.00193615,
        0.00176279,
        0.00202308,
        0.00235486,
        0.00218865,
        0.00237021,
        0.00220298,
        0.00167798,
        0.00182451,
        0.00246432,
        0.00242649,
        0.00190253,
        0.0020972,
        0.00223754,
        0.00224827,
        0.00212937,
        0.00188495,
        0.00187744,
        0.00191957,
        0.00174934,
        0.00168386,
        0.00178531,
        0.00194299,
        0.00185659,
        0.00178201,
        0.00187015,
        0.00173784,
        0.00173934,
        0.00189008,
        0.00177656,
        0.00172807,
        0.00165716,
        0.00170191,
        0.00175798,
        0.00179395,
        0.00184927,
        0.00176186,
        0.00178682,
        0.00159375,
        0.00186285,
        0.0018036,
        0.00188124,
        0.0018067,
        0.0019281,
        0.00186715,
        0.00179992,
        0.00181167,
        0.0019058,
        0.00185662,
        0.00182435,
        0.00194519,
        0.00227812,
        0.00234245,
        0.00235197,
        0.00217825,
        0.00191881,
        0.00192946,
        0.00191117,
        0.00191731,
        0.00205551,
        0.00205449,
        0.00214608,
        0.00196443,
        0.00210736,
        0.00217289,
        0.00214495,
        0.002069,
        0.00203598,
        0.00195,
        0.00224254,
        0.00202419,
        0.0021555,
        0.00215454,
        0.00207714,
        0.00207575,
        0.00218718,
        0.00237453,
        0.00223444,
        0.00209999,
        0.00203294,
        0.00214495,
        0.00212945,
        0.00240104,
        0.00234826,
        0.00222337,
        0.00211369,
        0.00203185,
        0.00222096,
        0.00230582,
        0.00205781,
        0.00212247,
        0.00237064,
        0.00236664,
        0.00212743,
        0.00189073,
        0.0021219,
        0.00207606,
        0.0020353,
        0.00219453,
        0.00226844,
        0.00216701,
        0.00233585,
        0.00231287,
        0.00202856,
        0.0021443,
        0.00221873,
        0.00237968,
        0.0023935,
        0.00223316,
        0.00247179,
        0.00224065,
        0.00240511,
        0.00239513,
        0.00268917,
        0.00260282,
        0.00280125,
        0.00283761,
        0.00288758,
        0.00283863,
        0.00279905,
        0.00312619,
        0.00275936,
        0.00263523,
        0.00272071,
        0.00294102,
        0.00317516,
        0.00310103,
        0.00299263,
        0.00282439,
        0.00311853,
        0.00306842,
        0.0031091,
        0.00352061,
        0.00440002,
        0.00562118,
        0.00760768,
        0.00451445,
        0.00482628,
        0.0055428,
        0.00559456,
        0.00753296,
        null,
        0.00695896,
        0.00669808,
        0.00603159,
        0.00643398,
        0.00567765,
        0.00544508,
        0.00552932,
        0.00642147,
        0.00672615,
        0.00704863,
        0.00592078,
        0.00637738,
        0.00623475,
        null,
        0.00625005,
        0.00652546,
        0.00651253,
        0.00552504,
        0.00616267,
        0.00709462,
        0.00523934,
        0.00401552,
        0.00357915,
        0.00330714,
        0.00430919,
        0.00380354,
        0.0029411,
        0.00305895,
        0.00282871,
        0.00277915,
        0.0025973,
        0.00267281,
        0.00256076,
        0.0024148,
        0.00230171,
        0.00219152,
        0.00224584,
        0.00215056,
        0.00211624,
        0.00194302,
        0.00191301,
        0.00208205,
        0.00207102,
        0.00208776,
        0.00222583,
        0.00233121,
        0.00237543,
        0.00197498,
        0.00197888,
        0.00228538,
        0.00232071,
        0.00204902,
        0.00207756,
        0.00171723,
        0.00189238,
        0.00188237,
        0.00170622,
        0.00166645,
        0.00171258,
        0.0016802,
        0.00171598,
        0.00172203,
        0.00163749,
        0.00181225,
        0.0018311,
        0.00178357,
        0.00169028,
        0.00167751,
        0.00163548,
        0.0016725,
        0.00193552,
        0.00172078,
        0.00177084,
        0.00169571,
        0.00166381,
        0.00161837,
        0.001604,
        0.00174354,
        0.00174276,
        0.00163096,
        0.00153014,
        0.00167813,
        0.0016997,
        0.00165885,
        0.00165042,
        0.00168692,
        0.00174101,
        0.00176793,
        0.00179468,
        0.00169676,
        0.00152221,
        0.00154084,
        0.00156794,
        0.00166386,
        0.00190184,
        0.00186849,
        0.0016602,
        0.00161716,
        0.0015196,
        0.00151707,
        0.00161797,
        0.00167832,
        0.00163923,
        0.0014741,
        0.00168184,
        0.00181932,
        0.00166441,
        0.00167051,
        0.0018836,
        0.00179389,
        0.00167635,
        0.00192474,
        0.00195664,
        0.00178451,
        0.00172516,
        0.00180419,
        0.00184711,
        0.0017723,
        0.0017116,
        0.00182082,
        0.00214974,
        0.00180657,
        0.00183028,
        0.0016716,
        0.00180726,
        0.00188326,
        0.00187003,
        0.00189682,
        0.00216317,
        0.00243358,
        0.00279261,
        0.00289772,
        0.00305272,
        0.00322748,
        0.00272361,
        0.00207654,
        0.00195033,
        0.00185777,
        0.0018677,
        0.0018227,
        0.00173842,
        0.00170686,
        0.00170258,
        0.00186443,
        0.00180702,
        0.00170117,
        0.00167895,
        0.00168393,
        0.00186603,
        0.00162811,
        0.0016443,
        0.00203625,
        0.00244372,
        0.00241636,
        0.00265613,
        0.00275166,
        0.00227863,
        0.00172399,
        0.00180512,
        0.00172287,
        0.00183628,
        0.00171376,
        0.00161067,
        0.00163712,
        0.00163802,
        0.00171873,
        0.002067,
        0.00238973,
        0.00251242,
        0.0024804,
        0.00261351,
        0.00241009,
        0.00171954,
        0.00160418,
        0.00151928,
        0.00154697,
        0.0015467,
        0.00151696,
        0.00143302,
        0.00170178,
        0.00160532,
        0.00166035,
        0.00167403,
        0.00165836,
        0.00157293,
        0.00148295,
        0.00174579,
        0.00163444,
        0.00158752,
        0.00158642,
        0.00154337,
        0.00145735,
        0.00149832,
        0.00148195,
        0.00149797,
        0.00166896,
        0.00160083,
        0.00142106,
        0.0015203,
        0.00147512,
        0.00167509,
        0.00167699,
        0.00151873,
        0.00150987,
        0.00165263,
        0.00147177,
        0.00156008,
        0.00153833,
        0.00152429,
        0.0016594,
        0.00165535,
        0.00154948,
        0.00155198,
        0.00151187,
        0.00167737,
        0.00157807,
        0.00167132,
        0.00169809,
        0.00152509,
        0.00154609,
        0.00153485,
        0.00147394,
        0.00163702,
        0.00151888,
        0.0014882,
        0.00154936,
        0.00151854,
        0.00166555,
        0.00170491,
        0.0016027,
        0.00159448,
        0.00160429,
        0.00156796,
        0.00162355,
        0.001634,
        0.00159261,
        0.00154252,
        0.00139892,
        0.00136093,
        0.00140025,
        0.00166817,
        0.00173365,
        0.00169726,
        0.00166302,
        0.00147821,
        0.0016573,
        0.00160467,
        0.00142179,
        0.00145026,
        0.00142876,
        0.00166242,
        0.0016415,
        0.00189771,
        0.00190097,
        0.00177562,
        0.00164761,
        0.0015993,
        0.0017338,
        0.00163836,
        0.00179459,
        0.00173993,
        0.00166546,
        0.00167379,
        0.00159992,
        0.00167598,
        0.00161284,
        0.00164901,
        0.00181349,
        0.00195109,
        0.00211697,
        0.00193179,
        0.00209502,
        0.0020455,
        0.00223454,
        0.00244608,
        0.00241787,
        0.0024816,
        0.00237591,
        0.0027594,
        0.00344227,
        0.00384088,
        0.0036244,
        0.00289914,
        0.00264744,
        0.00260144,
        0.00220698,
        0.00209153,
        0.00199421,
        0.00186879,
        0.001761,
        0.0018397,
        0.00175863,
        0.00188639,
        0.00180227,
        0.00174141,
        0.0015908,
        0.00168869,
        0.00167491,
        0.00174566,
        0.00178952,
        0.00183513,
        0.00215324,
        0.00216412,
        0.00212752,
        0.00221091,
        0.00210453,
        0.00214081,
        0.00236677,
        0.00240153,
        0.00207766,
        0.00191507,
        0.00199038,
        0.00211043,
        0.00209894,
        0.00207465,
        0.00228104,
        0.00238063,
        0.00229022,
        0.00206584,
        0.00197676,
        0.00206104,
        0.00214504,
        0.00184277,
        0.0019601,
        0.00215171,
        0.00209432,
        0.00236656,
        0.00249238,
        0.00222385,
        0.00215045,
        0.00201138,
        0.00187901,
        0.00193717,
        0.00225176,
        0.00208267,
        0.00214576,
        0.00209044,
        0.00222209,
        0.00221453,
        0.00181636,
        0.00166048,
        0.00216688,
        0.00251173,
        0.00240454,
        0.0022896,
        0.00226961,
        0.00214907,
        0.00225972,
        0.00233413,
        0.00211447,
        0.00250535,
        0.00248799,
        0.00221674,
        0.00223569,
        0.00228516,
        0.00203234,
        0.00210809,
        0.00219368,
        0.00246031,
        0.00250087,
        0.00218904,
        0.00236296,
        0.00236896,
        0.00254546,
        0.00271119,
        0.00245204,
        0.00252656,
        0.00286786,
        0.00314854,
        0.00323219,
        0.00336851,
        0.00387083,
        0.00492819,
        0.00599486,
        0.00650195,
        0.00654709,
        0.00595742,
        0.00609696,
        0.00638314,
        0.00685037,
        0.00632029,
        0.00567707,
        0.00628647,
        0.00680344,
        0.00733152,
        0.00774471,
        0.0103352,
        0.0159537,
        0.0764853,
        0.0698742,
        0.0407736,
        null,
        null,
        0.00666886,
        0.00642761,
        0.00667337,
        0.00681726,
        0.00621113,
        0.00596701,
        0.00631424,
        0.00644158,
        0.00591515,
        0.00647726,
        0.00553126,
        0.00646581,
        0.00729179,
        0.00706123,
        0.00648315,
        0.00641514,
        0.00553244,
        0.00491811,
        0.00457765,
        0.00499533,
        0.00466956,
        0.00425691,
        0.00540094,
        0.0039711,
        0.00656495,
        0.00593414,
        0.00354779,
        0.00438544,
        0.00414535,
        0.00365014,
        0.00341712,
        0.00311327,
        0.00277683,
        0.00284972,
        0.0030631,
        0.00282223,
        0.00301027,
        0.00305311,
        0.00294088,
        0.0029618,
        0.00307469,
        0.00286164,
        0.00322178,
        0.00328838,
        0.00343455,
        0.00360168,
        0.00391696,
        0.00404321,
        0.00373558,
        0.00393176,
        0.00418818,
        0.00462539,
        0.00538952,
        0.00545368,
        null,
        0.00389497,
        0.00274822,
        0.00271049,
        0.00260248,
        0.0025576,
        0.0023715,
        0.00240166,
        0.00236757,
        0.0024729,
        0.00251118,
        0.0023339,
        0.00221043,
        0.00270391,
        0.00208775,
        0.00201691,
        0.00199599,
        0.00214282,
        0.0023725,
        0.00235212,
        0.00192886,
        0.00220849,
        0.00248036,
        0.00211167,
        0.00195336,
        0.00218809,
        0.00227755,
        0.00184318,
        0.00166914,
        0.00207676,
        0.00210284,
        0.00183624,
        0.00178292,
        0.00184524,
        0.0018254,
        0.00186052,
        0.00175044,
        0.00181209,
        0.00204565,
        0.00173084,
        0.00155893,
        0.00171175,
        0.00172574,
        0.00174328,
        0.00200197,
        0.00172135,
        0.0015865,
        0.00162829,
        0.00156385,
        0.00145325,
        0.00181325,
        0.00195684,
        0.00172526,
        0.00169262,
        0.0017011,
        0.00168005,
        0.00162545,
        0.00155986,
        0.00153184,
        0.00160996,
        0.00203256,
        0.00189745,
        0.00174683,
        0.00176402,
        0.00176592,
        0.00174143,
        0.00150594,
        0.00165806,
        0.00191748,
        0.0017366,
        0.0015124,
        0.00157456,
        0.00168875,
        0.00179456,
        0.00179623,
        0.00173214,
        0.00175799,
        0.00168205,
        0.00177808,
        0.00162127,
        0.00153967,
        0.00170292,
        0.00186703,
        0.00180345,
        0.00207792,
        0.00184977,
        0.00170211,
        0.00175648,
        0.00162347,
        0.00153839,
        0.00165945,
        0.00151466,
        0.00187725,
        0.00170233,
        0.00162569,
        0.00157046,
        0.001607,
        0.00164066,
        0.00151829,
        0.00168009,
        0.00184159,
        0.00157009,
        0.00153731,
        0.00172213,
        0.00181894,
        0.00170254,
        0.00169674,
        0.00198574,
        0.00169017,
        0.0015956,
        0.00167068,
        0.00158565,
        0.00151018,
        0.00201157,
        0.0018255,
        0.00188017,
        0.00175939,
        0.00166059,
        0.00169058,
        0.00181968,
        0.00194856,
        0.00206691,
        0.00219608,
        0.0018852,
        0.00203441,
        0.00206361,
        0.00200267,
        0.00219492,
        0.00244091,
        0.00225303,
        0.00284137,
        null,
        0.00250067,
        0.00246823,
        0.00259362,
        0.00261232,
        0.00296006,
        0.00358212,
        0.00419406,
        0.00423338,
        0.00435832,
        0.00651052,
        0.00476682,
        0.00480834,
        0.00400616,
        0.00336871,
        0.00339748,
        0.00317871,
        0.00281338,
        0.00280174,
        0.00296763,
        0.00254299,
        0.00234996,
        0.00216779,
        0.00222462,
        0.00228751,
        0.00229343,
        0.00209982,
        0.00215729,
        0.00213035,
        0.002062,
        0.00202363,
        0.00211638,
        0.00214093,
        0.00197193,
        0.00177208,
        0.00193416,
        0.00213085,
        0.00195302,
        0.00176602,
        0.00186181,
        0.00180964,
        0.00168317,
        0.00163893,
        0.00174316,
        0.00191441,
        0.00181302,
        0.00159665,
        0.00167969,
        0.0017017,
        0.00183896,
        0.00215133,
        0.00201368,
        0.00197447,
        0.00212975,
        0.00252162,
        0.00351923,
        0.00504842,
        0.00515095,
        0.00382944,
        0.00290976,
        0.00245431,
        0.00229397,
        0.00226122,
        0.00225432,
        0.001906,
        0.00199706,
        0.00197539,
        0.00185113,
        0.0018399,
        0.0019161,
        0.00181178,
        0.00193993,
        0.00196439,
        0.00187878,
        0.00179115,
        null,
        0.00188813,
        0.00216031,
        0.00206246,
        0.00216961,
        0.00245616,
        0.00244947,
        0.00253772,
        0.00278395,
        0.00268694,
        0.00252432,
        0.00260009,
        0.00319635,
        0.00436844,
        0.00616249,
        0.00553613,
        0.00535168,
        0.00510434,
        0.00580983,
        0.00762153,
        0.00633977,
        0.00381691,
        0.00409621,
        0.00297197,
        0.00246503,
        0.00235951,
        0.00221209,
        0.00198789,
        0.00204863,
        0.00208683,
        0.00192238,
        0.00203605,
        0.00181777,
        0.00187629,
        0.00215698,
        0.00230647,
        0.0022908,
        0.00235159,
        0.00256648,
        0.00219392,
        0.00260682,
        0.0025055,
        0.00263976,
        0.00286276,
        0.00320871,
        0.00460662,
        0.00595392,
        0.00705685,
        0.00297266,
        0.00350876,
        0.00255117,
        0.00200201,
        0.00191796,
        0.0019276,
        0.00192381,
        0.00192341,
        0.0016335,
        0.00202748,
        0.00171745,
        0.00172547,
        0.00197842,
        0.0020098,
        0.00174176,
        0.00177081,
        0.00190378,
        0.00240871,
        0.00262553,
        0.00286807,
        0.00403028,
        0.00182408,
        0.00181607,
        0.00184682,
        0.00181793,
        0.00168358,
        0.00142568,
        0.00173782,
        0.00177528,
        0.00179028,
        0.00188725,
        0.00194268,
        0.00191387,
        0.00227362,
        0.00232436,
        0.00227652,
        0.00217365,
        0.00237937,
        0.00283133,
        0.00352916,
        0.00488764,
        0.00591828,
        0.00825414,
        0.00636666,
        0.00494525,
        0.00417693,
        0.00325099,
        0.00256265,
        0.00235924,
        0.00218632,
        0.00203183,
        0.0023897,
        0.0019111,
        0.00212156,
        0.00198718,
        0.00191246,
        0.00196956,
        0.00188946,
        0.00154478,
        0.00154076,
        0.00218133,
        0.00198503,
        0.00169324,
        0.00179438,
        0.00196681,
        0.00183854,
        0.00160229,
        0.00175186,
        0.00194579,
        0.00164678,
        0.00177484,
        0.00188519,
        0.00181469,
        0.00185175,
        0.00174259,
        0.00183095,
        0.00181443,
        0.00171281,
        0.0015889,
        0.00176539,
        0.00206699,
        0.00180853,
        0.00175598,
        0.00182038,
        0.00183137,
        0.0018342,
        0.00180998,
        0.0017619,
        0.00170239,
        0.00160133,
        0.00212961,
        0.0021973,
        0.00202781,
        0.00213699,
        0.00233034,
        0.00265397,
        0.00369129,
        0.00422666,
        0.00439373,
        0.00420197,
        0.0040776,
        0.00364927,
        0.00303347,
        0.00279988,
        0.00297588,
        0.0023546,
        0.00209797,
        0.00185265,
        0.0017733,
        0.00178618,
        0.00180528,
        0.00186405,
        0.00175888,
        0.00175972,
        0.00169301,
        0.00171773,
        0.00179043,
        0.00183539,
        0.00183546,
        0.00181867,
        0.00155439,
        0.00159069,
        0.00160778,
        0.00171944,
        0.00166296,
        0.00153352,
        0.00180535,
        0.00201841,
        0.00156107,
        0.00175322,
        0.00185516,
        0.00191844,
        0.00187762,
        0.00177824,
        0.00208971,
        0.00195297,
        0.00212842,
        0.0023071,
        0.00254877,
        0.00298339,
        0.00324509,
        0.00282212,
        0.00212885,
        0.00219192,
        0.00183563,
        0.00189589,
        0.00193787,
        0.00186069,
        0.00185005,
        0.00193964,
        0.00176658,
        0.001801,
        0.00182486,
        0.00178732,
        0.00175147,
        0.00168318,
        0.00161455,
        0.00181272,
        0.00166838,
        0.00185081,
        0.00185866,
        0.00180146,
        0.00179876,
        0.00186203,
        0.00194924,
        0.00214439,
        0.00225896,
        0.00254465,
        0.00298015,
        0.00360945,
        0.00442258,
        0.00614986,
        0.0059699,
        0.00467956,
        0.00330622,
        0.00343042,
        0.00321835,
        0.00266839,
        0.00246187,
        0.00246293,
        0.00239986,
        0.00243124,
        0.00302043,
        0.00366863,
        0.00264701,
        0.00216849,
        0.00195038,
        0.00199492,
        0.00222542,
        0.00192331,
        0.00156429,
        0.00179332,
        0.00177059,
        0.00162061,
        0.00152003,
        0.00163856,
        0.00189021,
        0.00185489,
        0.00200011,
        0.00198338,
        0.00233471,
        0.00239554,
        0.00219286,
        0.00201537,
        0.00200368,
        0.00219796,
        0.00188129,
        0.00221282,
        0.00213423,
        0.00201459,
        0.00210458,
        0.00236907,
        0.00261229,
        null,
        0.00244144,
        0.00228667,
        0.00267003,
        0.00352687,
        0.00354238,
        0.00344626,
        0.00409094,
        0.00484295,
        0.00492479,
        0.00509372,
        0.0054258,
        0.00576435,
        0.00842867,
        0.011865,
        0.0106771,
        0.00832717,
        0.00689383,
        0.00482888,
        0.00549343,
        0.00386953,
        0.00379805,
        0.00337629,
        0.00298025,
        0.00299387,
        0.00271619,
        0.00260224,
        0.00251759,
        0.00224443,
        0.00227172,
        0.00225109,
        0.00203612,
        0.00196691,
        0.00203586,
        0.00216929,
        0.00219371,
        0.00195721,
        0.00185347,
        0.00185091,
        0.00194867,
        0.00204256,
        0.00202325,
        0.00188821,
        0.00180793,
        0.00191681,
        0.00200954,
        0.00213311,
        0.00241073,
        0.00219965,
        0.00252634,
        0.0030614,
        0.00302906,
        0.00371187,
        0.00423963,
        0.00373894,
        0.00340782,
        0.00234468,
        0.00206983,
        0.00207864,
        0.00220018,
        0.00213424,
        0.00194033,
        0.00183676,
        0.00165756,
        0.00168077,
        0.00162494,
        0.00147276,
        0.0013686,
        0.00149392,
        0.00150012,
        0.00159297,
        0.00155495,
        0.00149717,
        0.00143796,
        0.00162718,
        0.00167787,
        0.00150694,
        0.00145915,
        0.00167457,
        0.00170483,
        0.00153911,
        0.00147949,
        0.00162433,
        0.00147622,
        0.00158636,
        0.00148109,
        0.00144466,
        0.00151345,
        0.00150247,
        0.00140333,
        0.00128603,
        0.0014201,
        0.00160762,
        0.00140237,
        0.00148,
        0.00150366,
        0.00151803,
        0.00147572,
        0.00140306,
        0.00137657,
        0.00176544,
        0.00163778,
        0.00169167,
        0.00162116,
        0.00168335,
        0.00159079,
        0.00130575,
        0.00135805,
        0.00139331,
        0.00146587,
        0.00164671,
        0.00172612,
        0.00151005,
        0.00142791,
        0.00141086,
        0.00141857,
        0.00145605,
        0.00140488,
        0.00154712,
        0.00134725,
        0.00151984,
        0.00153883,
        0.00146358,
        0.00139862,
        0.00135238,
        0.00185561,
        0.00164076,
        0.0015041,
        0.00153295,
        0.00156118,
        0.00160135,
        0.00146898,
        0.00141577,
        0.00152238,
        0.00156154,
        0.00149807,
        0.00157953,
        0.00175415,
        0.00164205,
        0.00153729,
        0.0015629,
        0.00158017,
        0.00162808,
        0.00160827,
        0.00144404,
        0.00147106,
        0.00149932,
        0.0016627,
        0.00164805,
        0.00146562,
        0.0014935,
        0.00157545,
        0.0015928,
        0.00156428,
        0.00160077,
        0.00154227,
        0.00142868,
        0.00162446,
        0.00167069,
        0.00178797,
        0.00176191,
        0.00166134,
        0.00152228,
        0.00147812,
        0.00141985,
        0.00150269,
        0.00170752,
        0.00157546,
        0.00140989,
        0.001304,
        0.00137075,
        0.00150407,
        0.001473,
        0.00127687,
        0.0014857,
        0.00147726,
        0.00150955,
        0.00143386,
        0.0014138,
        0.00131682,
        0.00113522,
        0.00115542,
        0.00145203,
        0.00141985,
        0.00143716,
        0.00142522,
        0.00150939,
        0.00151994,
        0.00157404,
        0.00166658,
        0.00153416,
        0.00176964,
        0.00159512,
        0.00157727,
        0.00152692,
        0.00146484,
        0.00150252,
        0.00166067,
        0.00150895,
        0.0014322,
        0.00149664,
        0.00153262,
        0.00160461,
        0.00151636,
        0.00160123,
        0.00160539,
        0.00155931,
        0.00148741,
        0.0014741,
        0.00157831,
        0.0016576,
        0.0013197,
        0.00143828,
        0.00157676,
        0.00143391,
        0.00149736,
        0.00148834,
        0.00189257,
        0.00235559,
        0.00233823,
        0.00213789,
        0.00177788,
        0.00147743,
        0.00138465,
        0.00146497,
        0.00146264,
        0.00142373,
        0.00152844,
        0.00172406,
        0.00178207,
        0.00157005,
        0.00154499,
        0.001537,
        0.00147318,
        0.00149429,
        0.00152156,
        0.00155984,
        0.0017323,
        0.00190551,
        0.00174152,
        0.00169597,
        0.00186667,
        0.00179029,
        0.00166476,
        0.00189296,
        0.00215917,
        0.00201917,
        0.00201149,
        0.00207771,
        0.00223274,
        0.00231102,
        0.00249683,
        0.00270598,
        0.00293375,
        0.00333204,
        0.00422675,
        0.00517587,
        0.00608714,
        0.00824228,
        0.0116592,
        0.0129166,
        0.00927958,
        0.00670175,
        0.0050861,
        0.00412108,
        0.00354243,
        0.0031871,
        0.00296397,
        0.00269056,
        0.0024697,
        0.00246641,
        0.00237091,
        0.00214208,
        0.0019897,
        0.00214823,
        0.00222178,
        0.00191597,
        0.00210046,
        0.00203905,
        0.00198438,
        0.00194684,
        0.00182251,
        0.00168006,
        0.00166313,
        0.0017638,
        0.00175463,
        0.00165106,
        0.00181502,
        0.0019287,
        0.00189114,
        0.00185267,
        0.00182243,
        0.00185676,
        0.001869,
        0.00187886,
        0.00182966,
        0.00193541,
        0.00186845,
        0.00180621,
        0.0017373,
        0.00165735,
        0.00177451,
        0.00181914,
        0.00180875,
        0.00160149,
        0.00180019,
        0.00181707,
        0.00193435,
        0.00201033,
        0.00190391,
        0.00177508,
        0.0018388,
        0.00195299,
        0.00192401,
        0.00178328,
        0.00184031,
        0.00180367,
        0.00185399,
        0.00175591,
        0.00181993,
        0.0017153,
        0.00174899,
        0.00181995,
        0.00172382,
        0.00193758,
        0.00187302,
        0.00195368,
        0.00218737,
        0.00222283,
        0.00206651,
        0.00214276,
        0.00258074,
        0.00287116,
        0.00402304,
        0.0056099,
        0.00703754,
        0.0104541,
        0.012786,
        0.0118295,
        0.00892273,
        0.0070311,
        0.00537028,
        0.00485752,
        0.00628463,
        0.0102455,
        0.0139916,
        0.0157045,
        0.00975842,
        0.00571773,
        0.00345628,
        0.0025069,
        0.00241301,
        0.00212137,
        0.00202252,
        0.00198686,
        0.00200464,
        0.00212517,
        0.00223874,
        0.00214306,
        0.00209671,
        0.00211957,
        0.00198818,
        0.00217847,
        0.00228989,
        0.00266009,
        0.00300124,
        0.00290663,
        0.00273246,
        0.00298083,
        0.00295508,
        0.00266355,
        0.00341534,
        0.00337275,
        0.0030362,
        0.00354186,
        0.0046334,
        0.0058476,
        0.00771624,
        null,
        0.0081883,
        0.0138099,
        0.0115037,
        0.00811599,
        0.00730497,
        0.00662033,
        0.00471259,
        0.00426398,
        0.00466135,
        0.00458908,
        0.00431419,
        0.00402952,
        0.0037494,
        0.00344967,
        0.00339309,
        0.00335426,
        0.00337391,
        0.00388204,
        0.00368637,
        0.00363808,
        0.00391489,
        0.00280137,
        0.00333572,
        0.00350081,
        0.00301377,
        0.00316702,
        0.00349028,
        0.0035563,
        0.00336119,
        0.00297756,
        0.00309911,
        0.00324137,
        0.00346678,
        0.00333404,
        0.00317204,
        0.00327118,
        0.00345669,
        0.00373942,
        0.00397384,
        0.00449035,
        0.00480837,
        0.00456196,
        0.00477358,
        0.0046483,
        0.00501721,
        0.00404397,
        0.00405824,
        0.00498698,
        0.00668001,
        0.00826211,
        0.00788268,
        null,
        0.00945087,
        0.0148705,
        0.017455,
        0.0144544,
        0.0115471,
        0.00954761,
        0.00769598,
        0.00706734,
        0.007331,
        0.00699079,
        0.00546118,
        0.00540809,
        0.00527553,
        0.00497664,
        0.00497296,
        0.00537178,
        0.00492976,
        0.0046586,
        0.004153,
        0.00414073,
        0.0040161,
        0.00572035,
        0.00485579,
        0.00301596,
        0.00434318,
        0.00478652,
        0.00404134,
        0.00497823,
        0.00444971,
        0.00401542,
        0.00421179,
        0.00321298,
        null,
        0.00412614,
        0.00480768,
        0.0070399,
        0.00730875,
        0.00678975,
        0.00681747,
        0.00654711,
        0.00638769,
        0.00619324,
        0.00677237,
        0.00879909,
        0.0105299,
        0.0105064,
        0.0109856,
        null,
        0.016395,
        0.0181855,
        0.018929,
        0.013586,
        0.0149192,
        0.0130331,
        0.0153763,
        null,
        0.0233472,
        0.0177268,
        0.0160172,
        0.0157151,
        0.0174184,
        0.0150187,
        0.0163479,
        0.0134188,
        0.012916,
        0.0149685,
        0.0172397,
        0.0181109,
        0.00927524,
        0.00681406,
        0.00601361,
        0.00538287,
        0.00442513,
        0.00387755,
        0.00384532,
        0.00385071,
        0.00338036,
        0.00348737,
        0.00378647,
        0.0039953,
        0.00334071,
        0.00299601,
        0.00295004,
        0.0028045,
        0.00287513,
        0.00325094,
        0.00302188,
        0.0037898,
        0.00279256,
        0.0028173,
        0.0030018,
        0.00304467,
        0.00281099,
        0.0025301,
        0.00246495,
        0.00260727,
        0.00269421,
        0.00259519,
        0.00276055,
        0.00275973,
        0.00317202,
        0.00306337,
        0.00295492,
        0.00296965,
        0.00274533,
        0.00236969,
        0.00231332,
        0.00253754,
        0.00247602,
        0.00288803,
        0.00270017,
        0.00322715,
        0.00344892,
        0.00332528,
        0.00330746,
        0.00354695,
        0.00355422,
        0.00359762,
        0.00420671,
        0.00381193,
        0.00416419,
        0.00435019,
        0.00627754,
        0.00708287,
        0.0123724,
        0.0159024,
        0.0107489,
        0.00957054,
        0.00770845,
        0.00613203,
        0.00569808,
        0.00664687,
        0.00589991,
        0.00449339,
        0.00377263,
        0.00361617,
        0.00353001,
        0.00390156,
        0.004365,
        0.00397174,
        0.00410738,
        0.00395402,
        0.00496959,
        0.00397725,
        0.00536467,
        0.00511233,
        0.00530111,
        0.00607049,
        0.00602357,
        0.00686497,
        0.0105271,
        0.0127098,
        0.0151488,
        null,
        0.00505354,
        0.00460294,
        0.00559939,
        0.00502943,
        0.00414056,
        0.00443067,
        0.00447791,
        0.00412313,
        0.00352811,
        0.00292106,
        0.0032374,
        0.00337295,
        0.00307389,
        0.00309526,
        0.00288478,
        0.00276848,
        0.00273139,
        0.00310725,
        0.00291732,
        0.00272147,
        0.00284064,
        0.00232612,
        0.00223592,
        0.002254,
        0.00246311,
        0.00204366,
        0.00246773,
        0.00242314,
        0.00238257,
        0.00250986,
        0.00235619,
        0.00214882,
        0.00225905,
        0.00214226,
        0.00202056,
        0.00258952,
        0.00282147,
        0.00219474,
        0.00268705,
        0.0028992,
        0.0028832,
        0.00279205,
        0.00271161,
        0.00259685,
        0.00229432,
        0.00202191,
        0.00238914,
        null,
        0.00315593,
        0.00273607,
        0.00251581,
        0.00231187,
        0.0025014,
        0.00264385,
        0.00281657,
        0.00312142,
        0.00320919,
        0.00306091,
        0.00362284,
        0.00437618,
        0.00449338,
        0.00453094,
        0.00584869,
        0.00672778,
        0.00962953,
        0.0102497,
        null,
        0.0121588,
        0.0108901,
        0.00943378,
        0.0075294,
        0.00721301,
        0.00701076,
        0.00585938,
        0.00637435,
        0.00532916,
        0.00477664,
        0.00544788,
        0.0060401,
        0.00656591,
        0.00751487,
        0.00782938,
        0.00820109,
        0.00763659,
        0.00913811,
        0.0108974,
        0.0124918,
        0.013194,
        0.0104261,
        0.00864565,
        0.00784919,
        0.00604012,
        0.00581776,
        0.00612345,
        0.00475089,
        0.00423069,
        0.00428084,
        0.00404003,
        0.00413873,
        0.00363303,
        0.0035768,
        0.00337268,
        0.00328622,
        0.0031856,
        0.0029887,
        0.00288557,
        0.00292331,
        0.00292011,
        0.00304236,
        0.00255809,
        0.00220947,
        0.00254099,
        0.00234127,
        0.00237438,
        0.00235849,
        0.00205722,
        0.00183715,
        0.00188573,
        0.00193161,
        0.00200815,
        0.00211183,
        0.00198458,
        0.00193865,
        0.00217738,
        0.00210892,
        0.00201786,
        0.00196189,
        0.0019798,
        0.00194666,
        0.00203126,
        0.00246208,
        0.00216553,
        0.00227647,
        0.00219904,
        0.00196399,
        0.00228598,
        0.00192589,
        0.00174473,
        0.00177363,
        0.00169675,
        0.00170682,
        0.00191217,
        0.00184362,
        0.00178374,
        0.00160897,
        0.00169184,
        0.00169185,
        0.00163144,
        0.00160587,
        0.00179649,
        0.00188548,
        0.00172957,
        0.00172232,
        0.00193974,
        0.00174755,
        0.00182212,
        0.0015473,
        0.00153888,
        0.00193755,
        0.00162384,
        0.00174348,
        0.00161904,
        0.00138387,
        0.00156907,
        0.00170673,
        0.00171533,
        0.00163725,
        0.00185587,
        0.00198516,
        0.00189609,
        0.00179816,
        0.00183006,
        0.00192877,
        0.00190483,
        0.00203262,
        0.00182559,
        0.00206893,
        0.0022015,
        0.00224858,
        0.0023566,
        0.00214172,
        0.0019242,
        0.00196771,
        0.00197139,
        0.00206537,
        0.00242219,
        0.00184007,
        0.00219591,
        0.00217863,
        0.00226272,
        0.00225213,
        0.00209553,
        0.00214472,
        0.00213663,
        0.0019968,
        0.0022329,
        0.00256337,
        0.00273337,
        0.00266324,
        0.00235219,
        0.00234017,
        0.00261368,
        0.00264351,
        0.00286311,
        0.00276712,
        0.0034171,
        0.00291243,
        0.00319157,
        0.00360624,
        0.00388369,
        null,
        0.00398174,
        0.0037485,
        0.00373091,
        0.00458432,
        0.00487822,
        0.00628802,
        0.00682886,
        null,
        0.0040302,
        0.00349994,
        0.00339389,
        0.00345427,
        0.00435772,
        0.00369861,
        0.00420728,
        0.00405613,
        0.00397634,
        0.00419954,
        0.00410569,
        0.00391718,
        0.00426539,
        0.00506076,
        0.00534606,
        0.00431079,
        0.00438967,
        0.00458908,
        0.00413973,
        0.00374602,
        0.00426012,
        0.00434343,
        0.00420085,
        0.00490537,
        0.00614055,
        0.00656481,
        0.00400262,
        0.00376203,
        0.00335479,
        0.00234513,
        0.00239373,
        0.00267098,
        0.0024194,
        0.00240248,
        0.00221206,
        0.00207696,
        0.00216599,
        0.00234387,
        0.0021739,
        0.00177614,
        0.0018132,
        0.00187733,
        0.00185149,
        0.00204348,
        0.00196292,
        0.00206794,
        0.00209909,
        0.00213041,
        0.00210123,
        0.00212875,
        0.00205932,
        0.00202451,
        0.00242561,
        0.0027541,
        0.00244924,
        0.00248918,
        0.0023643,
        0.00274718,
        0.00334108,
        0.00343005,
        0.00366387,
        0.00379979,
        0.00421785,
        0.00580604,
        0.0044814,
        0.00544559,
        0.00515979,
        0.00311484,
        0.0038842,
        0.00466782,
        0.00525302,
        0.0067379,
        0.00713008,
        0.00611623,
        0.0046667,
        0.0036731,
        0.00335905,
        0.00319865,
        0.00263955,
        0.00231497,
        0.00243914,
        0.00252944,
        null,
        0.00275616,
        0.00291693,
        null,
        0.00287797,
        0.00261983,
        0.0026208,
        0.00254781,
        0.00255571,
        0.00294059,
        0.00296982,
        0.00306228,
        0.00253123,
        0.00315343,
        0.00300352,
        0.00322519,
        0.0031471,
        0.00360334,
        0.00401525,
        0.00416268,
        0.00482036,
        0.00592012,
        0.00602244,
        0.00550611,
        0.00540272,
        0.00499979,
        0.00437106,
        0.00472283,
        0.00543197,
        0.00293046,
        0.00298927,
        0.00304798,
        0.00272656,
        0.00229074,
        0.00213785,
        0.00219599,
        0.00216629,
        0.00195962,
        0.00169839,
        0.00154508,
        0.00184613,
        0.00162884,
        0.00169348,
        0.0021212,
        0.00202938,
        0.00188908,
        0.00174839,
        0.00169272,
        0.00174305,
        0.00172994,
        0.00167278,
        0.00172721,
        0.00143763,
        0.0018681,
        0.00181391,
        0.00169612,
        0.00152822,
        null,
        0.00178856,
        0.00186546,
        0.00182584,
        0.0019375,
        0.00179031,
        0.00154077,
        0.00188405,
        0.00191914,
        0.00189265,
        0.00180979,
        0.00176992,
        0.00207521,
        0.00216391,
        0.00189682,
        0.001736,
        0.00154531,
        0.00134547,
        0.00145434,
        0.00171317,
        0.00167788,
        0.00182585,
        0.00179667,
        0.00200156,
        0.00175013,
        0.00140883,
        0.00152147,
        0.001731,
        0.00173277,
        0.00339632,
        0.00193392,
        0.00162059,
        0.00153512,
        0.00174914,
        0.00163341,
        0.00145728,
        0.00168809,
        0.00177967,
        0.0016193,
        0.00157795,
        0.00159878,
        0.00155921,
        0.00160982,
        0.00141083,
        0.0017842,
        0.00182846,
        0.00150805,
        0.00161889,
        0.00175468,
        0.00188932,
        0.00182887,
        0.00167763,
        0.0016204,
        0.00164488,
        0.00159376,
        null,
        0.00153915,
        0.00180967,
        0.00178309,
        0.00154652,
        0.00173805,
        0.00168046,
        0.00170299,
        0.00162705,
        0.00151191,
        0.00146629,
        0.00166381,
        0.00191552,
        0.00182294,
        0.00160301,
        0.0018169,
        0.00178812,
        0.0020711,
        0.0019262,
        0.00196294,
        0.00203951,
        0.00227106,
        0.00266753,
        0.00268097,
        0.00322952,
        0.0040283,
        0.00403784,
        0.00425843,
        0.0031482,
        0.00260423,
        0.00247381,
        0.00245803,
        0.00260801,
        0.00335597,
        0.00303225,
        0.00271,
        0.00208027,
        0.00198382,
        0.00201792,
        0.00198797,
        0.00206095,
        0.00215178,
        0.00194416,
        0.00162763,
        0.00178155,
        0.001932,
        0.00190195,
        0.00145876,
        0.00190158,
        0.00136808,
        0.00182008,
        0.00190749,
        0.00180852,
        0.00176716,
        0.0016817,
        0.00149632,
        0.00142021,
        0.00165606,
        0.00163707,
        0.00153376,
        0.00154696,
        0.00156087,
        0.00162454,
        0.00157635,
        0.0017639,
        0.00208939,
        0.00207469,
        0.00188717,
        0.00189627,
        0.00205456,
        0.00225785,
        0.00218688,
        0.00206637,
        0.00206471,
        0.00177273,
        0.0019044,
        0.00202896,
        0.00177195,
        0.00170835,
        0.00171954,
        0.00169103,
        0.00174838,
        0.00180702,
        0.00174249,
        0.0015884,
        0.00170994,
        0.00169003,
        0.00156436,
        0.00151376,
        0.00155323,
        0.00143264,
        0.00147124,
        0.00150368,
        0.00155092,
        0.00170886,
        0.00178253,
        0.00169278,
        0.00158439,
        0.00165246,
        0.00165907,
        0.00162242,
        0.00166965,
        0.00199016,
        0.00198392,
        0.00206804,
        0.00215388,
        0.00217397,
        0.00231266,
        0.00245424,
        0.0024042,
        0.00271301,
        0.00344795,
        0.00506884,
        0.00541628,
        0.00485232,
        0.00319743,
        0.00269386,
        0.00307681,
        0.00223022,
        0.00203,
        0.00188272,
        0.00214384,
        0.00180569,
        0.00160409,
        0.00165391,
        0.0016773,
        0.00166372,
        0.00168822,
        0.00164412,
        0.00150864,
        0.00139123,
        0.00159859,
        0.00133568,
        0.00129992,
        0.00153393,
        0.00147773,
        0.00151878,
        0.0014729,
        0.00149164,
        0.0015802,
        0.00161487,
        0.00160644,
        0.00149651,
        0.00151325,
        0.00143388,
        0.00152557,
        0.00127487,
        0.0014777,
        0.00143559,
        0.00149186,
        0.001458,
        0.00137593,
        0.00140319,
        0.00152369,
        0.00157187,
        0.00148553,
        0.0014557,
        0.00138834,
        0.00149007,
        0.00166076,
        0.00149479,
        0.00139642,
        0.0014643,
        0.00148607,
        0.00168312,
        0.00179227,
        0.0016573,
        0.00163479,
        0.00175317,
        0.00159839,
        0.00182386,
        0.00173369,
        0.00166356,
        0.0018158,
        0.00164618,
        0.00153287,
        0.00147737,
        0.00161049,
        0.00169858,
        0.00161149,
        0.00155905,
        0.00166755,
        0.00175277,
        0.00165555,
        0.00157094,
        0.0015073,
        0.00154916,
        0.00155789,
        0.00148693,
        0.00164249,
        0.00176693,
        0.00190186,
        0.0018685,
        0.00170034,
        0.00171197,
        0.00183678,
        0.00179565,
        0.00161867,
        0.00165097,
        0.00205225,
        0.0019064,
        0.00205868,
        0.00224948,
        0.00252729,
        0.00282955,
        0.00322811,
        0.003489,
        0.00411085,
        0.00568702,
        0.00512571,
        0.0041607,
        0.0034829,
        0.00277238,
        0.00259792,
        0.00290208,
        0.00269125,
        0.00228157,
        0.00276239,
        0.00255265,
        0.0028107,
        0.00341522,
        0.00411753,
        0.0040724,
        0.00374861,
        0.0033934,
        0.00332889,
        0.00364202,
        0.00308709,
        0.00259023,
        0.00236765,
        0.00249473,
        0.00253686,
        0.002868,
        0.00370133,
        0.00402933,
        0.00376776,
        0.00274293,
        0.00214844,
        0.00218177,
        0.00198835,
        0.00181274,
        0.00171971,
        0.00178157,
        0.00169848,
        0.00200235,
        0.00192726,
        0.00158078,
        0.00146797,
        0.00149333,
        0.00154026,
        0.001743,
        0.00172815,
        0.00164217,
        0.0018245,
        0.00169107,
        0.00161533,
        0.00164139,
        0.00156318,
        0.00142777,
        0.00157816,
        0.0015017,
        0.00147161,
        0.00144696,
        0.00156082,
        0.00151742,
        0.00140615,
        0.00142265,
        0.00141758,
        0.00156877,
        0.00166392,
        0.0018265,
        0.00137566,
        0.00162438,
        0.00159506,
        0.00146824,
        0.00136225,
        0.00140859,
        0.00147801,
        0.0016004,
        0.00158796,
        0.00146537,
        0.00163052,
        0.00168164,
        0.00178223,
        0.00178401,
        0.00175728,
        0.00158823,
        0.00168245,
        0.00214586,
        0.00222722,
        0.00209032,
        0.00221851,
        0.00246564,
        0.00231706,
        0.00202315,
        0.00204108,
        0.00151592,
        0.00147807,
        0.00167537,
        0.00159272,
        0.00162305,
        0.00141616,
        0.00154556,
        0.00162044,
        0.00167896,
        0.00164242,
        0.00142434,
        0.00132598,
        0.00147978,
        0.0014851,
        0.00150825,
        0.00138612,
        0.00146515,
        0.00159992,
        0.00163024,
        0.00165325,
        0.00157362,
        0.00161357,
        0.00174028,
        0.00164958,
        0.00170898,
        0.00156865,
        0.00158671,
        0.00150215,
        0.00149828,
        0.00153718,
        0.00151912,
        0.00152656,
        0.00143574,
        0.0012581,
        0.00132915,
        0.00154455,
        0.00165033,
        0.00143765,
        0.00186641,
        0.00145601,
        0.00136818,
        0.00145453,
        0.00150745,
        0.00155532,
        0.00152843,
        null,
        0.0015231,
        0.00153907,
        0.00153712,
        0.00160638,
        0.00160428,
        0.00147898,
        0.00153652,
        0.0018604,
        0.00183267,
        0.00180297,
        0.0017984,
        0.00179722,
        0.00191645,
        0.00192593,
        0.00187972,
        0.00182819,
        0.00172366,
        0.00165752,
        0.0016832,
        0.00218267,
        0.00228229,
        0.00256591,
        0.00302822,
        0.00399178,
        0.00424645,
        0.00156218,
        0.00182505,
        0.00196548,
        0.00180782,
        0.00160363,
        0.00152355,
        0.00147818,
        0.00149709,
        0.00167745,
        0.00173442,
        0.00158263,
        0.00137829,
        0.0017427,
        0.00161934,
        0.00153906,
        0.00150553,
        0.00137154,
        0.00139864,
        0.00143128,
        0.00151855,
        0.00158746,
        0.00151741,
        0.00151188,
        0.0015925,
        0.00142535,
        0.00146683,
        0.00161718,
        0.00183464,
        0.00162841,
        0.00140542,
        0.00134829,
        0.0014918,
        0.00170624,
        0.00177164,
        0.00169242,
        0.0016408,
        0.00164204,
        0.00159518,
        0.00151639,
        0.00141401,
        0.00159124,
        0.00152224,
        0.00144316,
        0.00162641,
        0.00165434,
        0.00154406,
        0.00142304,
        0.00141648,
        0.00149949,
        0.00157087,
        0.0015896,
        0.00154218,
        0.00145893,
        0.00148498,
        0.00148658,
        0.00174369,
        0.00161105,
        0.00163628,
        0.00159258,
        0.00164322,
        0.00163895,
        0.00160759,
        0.00155039,
        0.00151436,
        0.00156831,
        0.00159657,
        0.00156938,
        0.00160693,
        0.00145605,
        0.00203356,
        0.00191873,
        0.00174128,
        0.00164353,
        0.00146819,
        0.00149331,
        0.00162153,
        0.00173493,
        0.00169856,
        0.00158609,
        0.00151199
    ]
}