SN 1981B Ia in NGC 4536 in the Virgo Cluster


Geoffrey Chaucer with an astrolabe.

OBJ:  SN 1981B Ia in NGC 4536 in the Virgo Cluster (SABb) which in
         Leda is
         Leda:  NGC 4536.
DISCOVERY:  1981mar02 UT by Tsvetskov (1981).
MAX:  1981mar08.5 (JD 2444672.0 +/- 0.2) in B according to {krisciunas2000}.
           {buta1983} gave B maximum as JD 2444672 which is the same to less precision.
           See the US Navy Observatory 
           Julian Date Converter.
           Sometimes USNO is unavailable:  try
           OnlineConversion.com:  Julian Converter
           which is a modified version of USNO.
           This day 67 of the year.
SUPERNOVA of the YEAR:  M = 2.
           Those were the good old days when there were only 10 to 20 SNe per year and we never
           ran out of the alphabet.

COMMENT:   This is a broad line SN Ia as David now calls it.  Once it was the fairest coriest normalist
           of them all, but now David says not so normal with casual disrespect.


         Spectrum               Date                  Phase relative to Bmax    Wavelength Range
         branch2003             1983mar06--09         -0.75                     3081.60--8390.37 (rest)
         branch2003             1983mar13.25            4.75                    5623.00--7134.06 (rest?)
         branch2003             1983mar24.25           15.75                    3656.27--8658.24 (rest)

REF:

       \citet{branch1983}
        David's paper on 81B spectra.

       \citet{buta1983}
        Early photometry of 81B.

        CfA List of Supernovae.

       \citet{conley2006} General value
         of 19.4 days for Ia rise time in B.

       \citet{krisciunas2000} They
       give a new B maximum which is probably much better established than that of buta1983, but
       has in fact the same numerical value.


HEADER: Header Common header information for this supernovae.
        The common header may (or may not) be updated relative to the header information above
        (D. J. Jeffery (2007jan01)).

REP:  F_lambda (erg/cm2/s/A) vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted (heliocentric velocity 1807 +/- 2 km/s from
         Leda:  NGC 4536
      not dereddened (Galactic foreground 0.08/4=.02 reddening from
         Leda:  NGC 4536
        but derived from
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived bolometric maximum is ??? (see above).
OBS: {branch1983}
     These spectra have been transformed so many times, it is hard to know what problems
     exist in them now.
     Not at the
     CfA Supernova Archive.


Date: 1981mar25 with 1981mar08.5 (JD 2444672.0) for B maximum gives:
      day = 2444687.75 - 2444672.0 = 15.75

      rest phase = 15.656  to insignificant figures.

       For consistency we always use rest phase and for explicitness to more digits than are significant.

       observer phase = 15.7500000000
       rest phase =     15.6556356063

&specnamelist aname='sn1981B Ia 1981_03_24' ebv=.02 ! epoch=16.9379067131 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=-1 ! All the branch1983 spectra have been deredshifted, but one has to check. Yes. ismooth=0 itick=2 itickln=4 t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. v_helio=1807 ymin2=.15d-6 ymax2=.9d-5 ymin3=.25 ymax3=3. wlammin1=3656.27 wlammax1=8658.24 wlammin2=3656.27 wlammax2=8658.24 wlammin3=3656.27 ! Could be good to the blue end. wlammax3=8658.24 ! Could be good to the red end. /
./figure/sn1981b_1981_03_24.gif Postscript plot of the spectrum.
./figure/sn1981b_1981_03_24.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere: OBJ: SN Ia 1981B in NGC 4536, a normal Ia. DATE: March 24 1981: This is 33 days after the explosion assuming the rise time to the B maximum was 18 days. OBS: ? REP: Magnitude (F_lambda) vs. lambda (ang) COR: not dereshifted ????(heliocentric velocity 1809 from Asiago which is the same as for 92A which is in a different galaxy), not derreddened (foreground Galactic E(B-V)=0. according to Leibungut et al. 1991, A&AS, 89, 537, but David Branch tells me that E(B-V) has been estimated as high as 0.1) not smoothed????? COMMENT: REF: Branch et al. 1983, ApJ, 270, 123. SN 1981b MARCH 24 NSMU=0 BLUE=1809 DAY: 33. END: 3656.761992573132375 1.227812486887726 3657.981116413342988 1.264139095892116 3659.200646695903288 1.300477815784534 3660.420583556313431 1.325732422536078 3661.640927130129512 1.349902497595306 3662.861677552940819 1.372336549377771 3664.082834960387117 1.392360360457062 3665.304399488148192 1.412390847252539 3666.526371271961125 1.422666306688958 3667.748750447597104 1.432209617505903 3668.971537150875520 1.431722906730406 3670.194731517658511 1.418610133607252 3671.418333683863239 1.405492988831119 3672.642343785441881 1.370007981093615 3673.866761958396637 1.333324287816647 3675.091588338768815 1.307961295857092 3676.316823062658386 1.295978546792635 3677.542466266198971 1.283991802812706 3678.768518085572850 1.301038360019903 3679.994978657004140 1.319007912059858 3681.221848116774254 1.307479371024373 3682.449126601197804 1.263228639679542 3683.676814246639424 1.218963155632275 3684.904911189504674 1.198889808109999 3686.133417566256412 1.179072579788083 3687.362333513391604 1.171067273500151 3688.591659167456783 1.174582544134005 3689.821394665043499 1.177915838185148 3691.051540142784688 1.161661099902725 3692.282095737371947 1.145400942471008 3693.513061585528703 1.127683576257934 3694.744437824029774 1.108632597151909 3695.976224589689991 1.089514967295996 3697.208422019383306 1.068400170417755 3698.441030250016411 1.047278334100710 3699.674049418545110 1.029754280721898 3700.907479661968409 1.015214758860089 3702.141321117341249 0.998952044354897 3703.375573921754039 0.954665875686192 3704.610238212344939 0.910364942500668 3705.845314126296216 0.902299788907188 3707.080801800845165 0.921468829161029 3708.316701373265005 0.938860104702370 3709.553012980877611 0.937369541384840 3710.789736761047152 0.935878481130057 3712.026872851195094 0.931545690852900 3713.264421388777009 0.925281898960482 3714.502382511298947 0.917003440317974 3715.740756356307429 0.891908780882005 3716.979543061407639 0.866805755165176 3718.218742764238868 0.842167610981131 3719.458355602489519 0.817810970245980 3720.698381713891195 0.796336534462440 3721.938821236231433 0.793256185883281 3723.179674307333698 0.790174810350113 3724.420941065070110 0.782251836520276 3725.662621647355536 0.771756716994397 3726.904716192162141 0.760060861386201 3728.147224837496651 0.742292207272498 3729.390147721415815 0.724517629286830 3730.633484982021400 0.711663750896136 3731.877236757458832 0.701056706423441 3733.121403185930376 0.691586233943608 3734.365984405672407 0.686616265915903 3735.610980554972684 0.681644640956046 3736.856391772159441 0.671714235771162 3738.102218195619571 0.659772043687774 3739.348459963774076 0.651225155562858 3740.595117215095343 0.653965924505578 3741.842190088095776 0.656707607190219 3743.089678721347354 0.660216876923195 3744.337583253456160 0.663989490524216 3745.585903823078297 0.663154805313906 3746.834640568911254 0.649271737800743 3748.083793629712545 0.635384041826994 3749.333363144272425 0.634949672577539 3750.583349251432082 0.638335328473900 3751.833752090074995 0.635227366292317 3753.084571799142395 0.616879596042029 3754.335808517610531 0.598525708848892 3755.587462384505670 0.589468348479117 3756.839533538896831 0.582329206131053 3758.092022119910325 0.579764546173518 3759.344928266707939 0.585893989004196 3760.598252118501932 0.592025475323049 3761.851993814545494 0.580769672352094 3763.106153494152295 0.566933522037488 3764.360731296668291 0.553624091775589 3765.615727361492191 0.541165810710249 3766.871141828063173 0.528703376192392 3768.126974835879992 0.528674380269929 3769.383226524475504 0.530067961786803 3770.639897033433954 0.528167093548897 3771.896986502384152 0.521744987462923 3773.154495070999928 0.515320740318115 3774.412422879011956 0.521311193063120 3775.670770066185469 0.527985981005273 3776.929536772337542 0.537528458060890 3778.188723137327088 0.550328016097829 3779.448329301071681 0.563131841365321 3780.708355403523001 0.551476856784180 3781.968801584684570 0.539785496482947 3783.229667984601747 0.534918190647708 3784.490954743379007 0.536274094455568 3785.752662001154931 0.538079356480756 3787.014789898119034 0.548477960110941 3788.277338574504938 0.558880030520074 3789.540308170602202 0.574771929698628 3790.803698826738128 0.594803786488190 3792.067510683288674 0.613294352540490 3793.331743880673912 0.615136782265667 3794.596398559371664 0.616979826236459 3795.861474859895679 0.626954169198597 3797.126972922809273 0.642135708427976 3798.392892888720326 0.655891888125585 3799.659234898293562 0.660606532858743 3800.925999092230086 0.665322749402099 3802.193185611281933 0.670784824689315 3803.460794596243431 0.676623114603886 3804.728826187967115 0.684997442088073 3805.997280527342355 0.703757795160754 3807.266157755308086 0.722524402726814 3808.535458012850995 0.729743823911465 3809.805181441000514 0.732671684968594 3811.075328180844281 0.735744944534535 3812.345898373506316 0.739238800239603 3813.616892160161115 0.742733820757365 3814.888309682026375 0.763870489122580 3816.160151080378000 0.789841724557776 3817.432416496528276 0.806555084040757 3818.705106071839509 0.803237132526024 3819.978219947718571 0.799918074843112 3821.251758265629633 0.810489419985137 3822.525721167073243 0.823527873702179 3823.800108793601339 0.834922080195015 3825.074921286807694 0.843498671694015 3826.350158788347017 0.852078122533409 3827.625821439907668 0.873207375968874 3828.901909383230304 0.895645035632095 3830.178422760098329 0.915944872064319 3831.455361712354261 0.933491853673797 3832.732726381877001 0.951044685252091 3834.010516910595015 0.969471431302714 3835.288733440482247 0.987930411861564 3836.567376113569480 1.010661213215431 3837.846445071924791 1.037560497800562 3839.125940457666729 1.064145747150052 3840.405862412957504 1.083672633570775 3841.686211080018893 1.103206030038649 3842.966986601107692 1.117544814553868 3844.248189118532537 1.128170470681872 3845.529818774644809 1.139085614366492 3846.811875711855919 1.152165298777587 3848.094360072612744 1.165249343810216 3849.377271999413551 1.189978931610212 3850.660611634803900 1.220914874592344 3851.944379121373458 1.247814367981607 3853.228574601771015 1.257505478936609 3854.513198218680827 1.267199820800384 3855.798250114838538 1.279407841714800 3857.083730433024357 1.292548168901341 3858.369639316077155 1.309320499557324 3859.655976906871274 1.336208715872023 3860.942743348333806 1.363105896419456 3862.229938783434136 1.395788266351436 3863.517563355202583 1.429924789825363 3864.805617206704028 1.455874005314288 3866.094100481055648 1.465782935880292 3867.383013321418730 1.475695169973681 3868.672355871013679 1.486207725402744 3869.962128273095914 1.496806581936275 3871.252330670974516 1.511224110952190 3872.542963208001311 1.530909261234060 3873.834026027587242 1.550600974326489 3875.125519273180089 1.565525730759983 3876.417443088279015 1.580318643228390 3877.709797616427295 1.586748500898998 3879.002583001227322 1.585155325512298 3880.295799386318777 1.585012857855614 3881.589446915391818 1.608186519561384 3882.883525732181170 1.631367907108553 3884.178035980481582 1.638182607582734 3885.472977804122820 1.634126324881170 3886.768351346988311 1.629024495357241 3888.064156753007865 1.617781736898502 3889.360394166155857 1.606535230228978 3890.657063730466689 1.628956747646799 3891.954165590010689 1.666390162446170 3893.251699888910480 1.695986435225437 3894.549666771332795 1.700757765821194 3895.848066381503486 1.705530687125600 3897.146898863686147 1.708786343633897 3898.446164362194395 1.711640742398738 3899.745863021387777 1.711925587795441 3901.045994985684956 1.707114353443090 3902.346560399540977 1.702301515078636 3903.647559407463632 1.716231000409904 3904.948992154003918 1.732672206599063 3906.250858783773310 1.745279592235680 3907.553159441420121 1.752816995935918 3908.855894271644502 1.760356912522849 3910.159063419190261 1.733320123989704 3911.462667028862143 1.705622410971094 3912.766705245500816 1.697649766461455 3914.071178214000156 1.706883015903947 3915.376086079296783 1.717122732756759 3916.681428986388710 1.737644861285973 3917.987207080310327 1.758173831664945 3919.293420506147868 1.765995461394131 3920.600069409032130 1.766840977803619 3921.907153934154394 1.767019925699201 3923.214674226741863 1.764475350363294 3924.522630432075402 1.761929926694227 3925.831022695479078 1.765355450595312 3927.139851162337436 1.770775583260530 3928.449115978072314 1.771601916812839 3929.758817288157388 1.762313768981727 3931.068955238115450 1.753022524585271 3932.379529973512490 1.756942683643661 3933.690541639976800 1.762848322752883 3935.001990383171687 1.762331985658469 3936.313876348814574 1.752974117128765 3937.626199682665629 1.743613128789643 3938.938960530546865 1.750400083359912 3940.252159038316677 1.757487625196684 3941.565795351886209 1.749900815319078 3942.879869617210261 1.730049219240247 3944.194381980306389 1.712514674595890 3945.509332587226254 1.715387344564340 3946.824721584076542 1.718260972249056 3948.140549117006685 1.718149987921374 3949.456815332227961 1.716511363972630 3950.773520375988937 1.711263370481580 3952.090664394589112 1.693429411928542 3953.408247534374368 1.675589507731820 3954.726269941750616 1.662071290249051 3956.044731763161053 1.649725603030001 3957.363633145101630 1.640312891331160 3958.682974234111953 1.636501171704813 3960.002755176794835 1.632688181293459 3961.322976119787654 1.602012239694174 3962.643637209781900 1.568950314050459 3963.964738593513630 1.543552527171844 3965.286280417779835 1.526448432952400 3966.608262829414798 1.508746609723828 3967.930685975305096 1.480162058980485 3969.253550002383236 1.451567978465430 3970.576855057641296 1.427812658192673 3971.900601288109556 1.407056361266081 3973.224788840871042 1.387115526202862 3974.549417863057442 1.370795552311535 3975.874488501846372 1.354470137522187 3977.200000904475019 1.339965545440281 3978.525955218219224 1.326050785733131 3979.852351590406670 1.310563030660682 3981.179190168411424 1.291825881513239 3982.506471099667124 1.273082485608295 3983.834194531646517 1.254258621923948 3985.162360611873282 1.235420181012657 3986.490969487918392 1.213828223718050 3987.820021307412389 1.189190539187978 3989.149516218024473 1.165023856580045 3990.479454367475228 1.151078208240305 3991.809835903532530 1.137127910576312 3993.140660974023831 1.128789321751701 3994.471929726815233 1.123830846909905 3995.803642309824681 1.117928719548869 3997.135798871016959 1.108207115044936 3998.468399558417332 1.098482269465988 3999.801444520088353 1.093789286504598 4001.134933904146237 1.090567524038609 4002.468867858752674 1.081750385023979 4003.803246532129833 1.062605318943917 4005.138070072538994 1.043453870111422 4006.473338628293277 1.020965065156173 4007.809052347751731 0.998222395340659 4009.145211379335251 0.983072462591426 4010.481815871502022 0.975140154409355 4011.818865972763888 0.967780950427982 4013.156361831681352 0.966321754322793 4014.494303596861300 0.964862071737831 4015.832691416972011 0.961818170395562 4017.171525440719506 0.958008589360099 4018.510805816862558 0.951564796867910 4019.850532694206322 0.937402434262529 4021.190706221617802 0.923235350082681 4022.531326548000379 0.925031788833508 4023.872393822312461 0.929618065973143 4025.213908193557472 0.939403433357575 4026.555869810800232 0.955938016167991 4027.898278823143755 0.971921628053546 4029.241135379744719 0.962041903704326 4030.584439629805274 0.952158885564750 4031.928191722589418 0.945994357659086 4033.272391807399345 0.942219237142363 4034.617040033590001 0.938156538722706 4035.962136550562718 0.932880584912941 4037.307681507781581 0.927602872158748 4038.653675054746600 0.920591522632274 4040.000117341013265 0.913076000215977 4041.347008516181631 0.907866121065710 4042.694348729914964 0.906602746566617 4044.042138131913362 0.905338950872495 4045.390376871931494 0.898597041088059 4046.739065099769050 0.891607176181749 4048.088202965288929 0.885815113840102 4049.437790618390864 0.880985353756728 4050.787828209029612 0.878950176571934 4052.138315887204499 0.893205597215289 4053.489253802978510 0.907465770457627 4054.840642106451469 0.910349812811058 4056.192480947778222 0.909244246062952 4057.544770477161819 0.906413259024183 4058.897510844853969 0.900175691639637 4060.250702201166405 0.893936044719375 4061.604344696449971 0.891286844247429 4062.958438481109170 0.888890577165568 4064.312983705594888 0.881912957070314 4065.667980520420770 0.870930339340899 4067.023429076137290 0.861215729168832 4068.379329523350407 0.859625914302448 4069.735682012711095 0.858035569409447 4071.092486694933541 0.866982470170596 4072.449743720770130 0.879801807319004 4073.807453241026906 0.888962340800690 4075.165615406555844 0.890914682132511 4076.524230368273038 0.892867674353257 4077.883298277130962 0.890224996254164 4079.242819284137113 0.887271724746302 4080.602793540345829 0.881159796189555 4081.963221196873292 0.872421272592559 4083.324102404873884 0.864919595700298 4084.685437315556555 0.864444273022074 4086.047226080177097 0.863968791876548 4087.409468850052690 0.855525613634829 4088.772165776540987 0.844503269642307 4090.135317011051484 0.841021350995345 4091.498922705041423 0.850760532791691 4092.862983010031712 0.860502961523128 4094.227498077579185 0.860395230535953 4095.592468059297971 0.860012611937447 4096.957893106846313 0.855567553398838 4098.323773371947027 0.848230574804427 4099.690109006359307 0.843344420727244 4101.056900161899648 0.848893715789837 4102.424146990432746 0.854444860925777 4103.791849643871501 0.859781380216150 4105.160008274190659 0.865067430020975 4106.528623033404074 0.869831373916745 4107.897694073580169 0.873902490311392 4109.267221546832843 0.877679380322448 4110.637205605340569 0.874676421418403 4112.007646401320017 0.871672461361207 4113.378544087042428 0.868238924310859 4114.749898814825428 0.864586069886870 4116.121710737049398 0.860314028086054 4117.493980006134734 0.854437106026810 4118.866706774555496 0.848558224667014 4120.239891194832126 0.853313153115303 4121.613533419550549 0.859309241374939 4122.987633601332163 0.869455002434725 4124.362191892854753 0.883511828615398 4125.737208446842487 0.897161660133935 4127.112683416085019 0.908203120097719 4128.488616953407472 0.919248261161638 4129.865009211691358 0.922269688655579 4131.241860343865483 0.922745705934573 4132.619170502922316 0.920778052616310 4133.996939841889798 0.914891536326698 4135.375168513855897 0.909191365297972 4136.753856671951326 0.920416487960253 4138.133004469372281 0.931645352953807 4139.512612059354069 0.940957398930640 4140.892679595185655 0.949190727319622 4142.273207230208754 0.956882909678453 4143.654195117809650 0.963053744655524 4145.035643411441015 0.969226636920470 4146.417552264592814 0.972020433922731 4147.799921830809581 0.974420629941121 4149.182752263684961 0.978664172674522 4150.566043716874447 0.984592459658386 4151.949796344072638 0.991520476344427 4153.334010299031434 1.003736279085055 4154.718685735546387 1.015956154438619 4156.103822807478537 1.017752701906266 4157.489421668729847 1.016771826507700 4158.875482473254124 1.017808030085157 4160.262005375053377 1.021604063901081 4161.648990528196009 1.025420645542032 4163.036438086785893 1.029557898811419 4164.424348204985108 1.033696531395105 4165.812721037000301 1.036245998684466 4167.201556737103601 1.038092847282077 4168.590855459607155 1.042164368115809 4169.980617358876771 1.050576902365528 4171.370842589325548 1.058992241260716 4172.761531305432072 1.069129352186545 4174.152683661713127 1.079319662287944 4175.544299812741883 1.081346836840166 4176.936379913136079 1.078236591218001 4178.328924117581664 1.074891068100280 4179.721932580800967 1.070869644982634 4181.115405457572706 1.066846881167179 4182.509342902722892 1.069365749790624 4183.903745071141202 1.072584983407201 4185.298612117758239 1.076274908069449 4186.693944197559176 1.080348828806164 4188.089741465580119 1.085748751178413 4189.486004076905374 1.096682139910924 4190.882732186684734 1.107619173713861 4192.279925950104371 1.109956815588237 4193.677585522409572 1.110710572566477 4195.075711058891102 1.111894763051981 4196.474302714904297 1.113526431993031 4197.873360645844514 1.113007283304983 4199.272885007162586 1.099834407912442 4200.672875954356641 1.086657140829571 4202.073333642990292 1.084546764731624 4203.474258228665349 1.085291874394914 4204.875649867039101 1.083878550235153 4206.277508713819770 1.079787317627448 4207.679834924775605 1.075493859396761 4209.082628655718509 1.069519379107352 4210.485890062512226 1.063542906992565 4211.889619301072344 1.059516115129078 4213.293816527376293 1.056097815184139 4214.698481897441525 1.054871191133155 4216.103615567342786 1.056686454717697 4217.509217693202118 1.058255732311209 4218.915288431204317 1.056897586759744 4220.321827937576927 1.055538988417634 4221.728836368601151 1.052045970250608 4223.136313880607304 1.047795240181385 4224.544260629990276 1.046595169849720 4225.952676773184066 1.049959705809653 4227.361562466679970 1.053586749483041 4228.770917867020216 1.060976856725586 4230.180743130796145 1.068369427747798 4231.591038414662762 1.066231126865694 4233.001803875316000 1.060584204275005 4234.413039669508180 1.058500135148605 4235.824745954037098 1.061787289982304 4237.236922885768763 1.064347250638756 4238.649570621608291 1.055800620027247 4240.062689318514458 1.047251140064008 4241.476279133497883 1.042981799580662 4242.890340223631938 1.040270998215593 4244.304872746030014 1.040430991907749 4245.719876857863710 1.044786843802566 4247.135352716350098 1.049277230707158 4248.551300478772646 1.055269571171109 4249.967720302455746 1.061263909414828 4251.384612344778361 1.066360305842305 4252.801976763169478 1.071160512284999 4254.219813715121745 1.073044139213170 4255.638123358169651 1.071060420695778 4257.056905849901341 1.069567737365746 4258.476161347956804 1.072679943519628 4259.895890010038784 1.075793187248491 4261.316091993890041 1.075205604088116 4262.736767457312453 1.073608813772439 4264.157916558152465 1.075979171630655 4265.579539454325641 1.082954661199526 4267.001636303785745 1.089757728080064 4268.424207264542929 1.095504997440178 4269.847252494656459 1.101254182876056 4271.270772152251084 1.099858020337510 4272.694766395491570 1.096917919021684 4274.119235382599982 1.088575295438803 4275.544179271849316 1.074931737686811 4276.969598221563501 1.063562580070999 4278.395492390130130 1.061963191995496 4279.821861935978632 1.060363270701770 4281.248707017593915 1.054350507448275 4282.676027793509093 1.047746146998208 4284.103824422326397 1.043319668973709 4285.532097062683533 1.040536980875870 4286.960845873278231 1.038532086372091 4288.390071012855515 1.038669900767699 4289.819772640227711 1.038807761109097 4291.249950914245346 1.035052414052239 4292.680605993817153 1.031094701821308 4294.111738037900977 1.024855445737634 4295.543347205521059 1.017353534604336 4296.975433655738925 1.011401650282747 4298.407997547676132 1.008383925296439 4299.841039040501528 1.005255820439250 4301.274558293451264 0.999164131784486 4302.708555465801510 0.993070412228370 4304.143030716883914 0.990446827932872 4305.577984206081055 0.989036019097183 4307.013416092840998 0.987598442178301 4308.449326536651824 0.986127077344192 4309.885715697058913 0.984311311288155 4311.322583733655847 0.980548198815831 4312.759930806104421 0.976783831763585 4314.197757074106448 0.969776335439994 4315.636062697418311 0.962180446344726 4317.074847835848232 0.951241311303735 4318.514112649269919 0.937666343537868 4319.953857297598006 0.924575447660916 4321.394081940803517 0.912824635112856 4322.834786738911134 0.901069904974389 4324.275971851995564 0.894577070633338 4325.717637440196995 0.888252679698999 4327.159783663694725 0.880058796756325 4328.602410682729897 0.871008443971279 4330.045518657587309 0.861941037923023 4331.489107748622700 0.852848820179336 4332.933178116230920 0.843664936067239 4334.377729920862294 0.833782002866779 4335.822763323019899 0.823895774806164 4337.268278483270478 0.812050709031199 4338.714275562223520 0.799778220472187 4340.160754720545810 0.785589099629037 4341.607716118950520 0.769763942611327 4343.055159918222671 0.753819000443928 4344.503086279182753 0.737541342497583 4345.951495362713104 0.721258257760833 4347.400387329743353 0.709592278563568 4348.849762341269525 0.698015206991108 4350.299620558328570 0.690880396844106 4351.749962142017466 0.685682552948676 4353.200787253479575 0.680504000662224 4354.652096053927380 0.675352647318411 4356.103888704612473 0.670876237483446 4357.556165366844652 0.670315888908469 4359.008926201984650 0.669755353519501 4360.462171371458680 0.658204410358701 4361.915901036734795 0.645084807804092 4363.370115359336523 0.636133996753474 4364.824814500844695 0.629982536058474 4366.279998622888343 0.623628872063476 4367.735667887162890 0.616866316034501 4369.191822455404690 0.610067657808957 4370.648462489409212 0.602763644590905 4372.105588151020129 0.595457196295982 4373.563199602150235 0.591428298280198 4375.021297004752341 0.588264168656475 4376.479880520835650 0.584110382530873 4377.938950312460292 0.579070554980409 4379.398506541756433 0.574790822043240 4380.858549370890614 0.572610452428670 4382.319078962090316 0.570443577741515 4383.780095477632130 0.570550379196580 4385.241599079860862 0.570657216258065 4386.703589931160423 0.567178756175173 4388.166068193973842 0.562446683354364 4389.629034030795083 0.558726142242365 4391.092487604185408 0.556081981789264 4392.556429076744280 0.554321746220549 4394.020858611133917 0.555527263141972 4395.485776370063832 0.556733181969347 4396.951182516310837 0.553579169278997 4398.417077212693584 0.550288377213484 4399.883460622088933 0.548115219395007 4401.350332907425582 0.546379990087204 4402.817694231695896 0.547602288880311 4404.285544757937714 0.552179839782740 4405.753884649244355 0.557029279887238 4407.222714068760069 0.562875052965392 4408.692033179698228 0.568722774959393 4410.161842145310402 0.569605067001721 4411.632141128910007 0.570320019365643 4413.102930293863210 0.572604424633847 4414.574209803586200 0.575491918340734 4416.045979821564288 0.578486634621714 4417.518240511321892 0.581597649955331 4418.990992036444368 0.585000350278895 4420.464234560566183 0.589369172619928 4421.937968247389108 0.593739451477826 4423.412193260658569 0.598862820212790 4424.886909764175471 0.603994083944088 4426.362117921793470 0.608469024001364 4427.837817897434434 0.612730545728283 4429.314009855059339 0.619284545645995 4430.790693958689189 0.627977082727597 4432.267870372396828 0.642074271677854 4433.745539260321493 0.661075292236396 4435.223700786643349 0.666672083425350 4436.702355115603496 0.675500308198632 4438.181502411492147 0.684667340169655 4439.661142838667729 0.687896024643658 4441.141276561530503 0.693847037794225 4442.621903744539850 0.702823340644297 4444.103024552205170 0.712358903476188 4445.584639149104987 0.720952982795536 4447.066747699857842 0.725082090688054 4448.549350369142303 0.732851782011702 4450.032447321687869 0.743652321019218 4451.516038722293160 0.755362486294818 4453.000124735795907 0.765302610825652 4454.484705527094775 0.770030878930812 4455.969781261138451 0.776709330176984 4457.455352102944744 0.784554164901419 4458.941418217572391 0.791244768943725 4460.427979770141064 0.798428042744121 4461.915036925822278 0.806567608646190 4463.402589849841206 0.818684631616582 4464.890638707490325 0.832076438692048 4466.379183664103948 0.839595313982091 4467.868224885075506 0.847402778046487 4469.357762535850270 0.855615947523314 4470.847796781940815 0.871055437922236 4472.338327788902461 0.887129054733795 4473.829355722349646 0.894311849504798 4475.320880747947740 0.897942552214904 4476.812903031430324 0.898067266723919 4478.305422738573725 0.907574764104231 4479.798440035212479 0.919125448652783 4481.291955087233873 0.932249144596706 4482.785968060593405 0.944952201879676 4484.280479121286589 0.957342580059732 4485.775488435370789 0.970150200855167 4487.270996168954298 0.982496076118511 4488.767002488212711 0.993660862557621 4490.263507559365280 1.007994382011102 4491.760511548690374 1.024011517198892 4493.258014622516384 1.036912106335753 4494.756016947241733 1.053374223253372 4496.254518689307588 1.076228083790906 4497.753520015212416 1.094411746496660 4499.253021091509254 1.111494021925068 4500.753022084817530 1.137011081910408 4502.253523161799421 1.155140073352105 4503.754524489178038 1.163685816204326 4505.256026233730154 1.179240935289614 4506.758028562285290 1.197413621839897 4508.260531641741181 1.219773145308105 4509.763535639039219 1.245890925669211 4511.267040721179001 1.275749214295053 4512.771047055211966 1.283687986689542 4514.275554808260495 1.291960586220507 4515.780564147485165 1.313832364747675 4517.286075240111131 1.327963103071491 4518.792088253411748 1.336375939827200 4520.298603354732222 1.364213440694260 4521.805620711456868 1.392561777455361 4523.313140491032755 1.418094706161483 4524.821162860958793 1.442607236942446 4526.329687988800288 1.466525362245340 4527.838716042167107 1.499457750918495 4529.348247188730056 1.529012696318228 4530.858281596208144 1.551975475706915 4532.368819432394957 1.589002762687968 4533.879860865120463 1.631492848055060 4535.391406062281021 1.662677246130075 4536.903455191819376 1.695773468236472 4538.416008421751030 1.731666878613773 4539.929065920132416 1.766280068866077 4541.442627855081810 1.800025749964932 4542.956694394767510 1.830133841839319 4544.471265707428756 1.856155454760695 4545.986341961345715 1.877433149678126 4547.501923324861309 1.901007175882222 4549.018009966368481 1.924058742994266 4550.534602054330207 1.942069959914983 4552.051699757253118 1.961742657156823 4553.569303243702961 1.982979850371796 4555.087412682301874 2.010786557565320 4556.606028241723834 2.040379799701468 4558.125150090714669 2.072826794423833 4559.644778398060225 2.095372822757081 4561.164913332607284 2.110418207547173 4562.685555063256288 2.134725482449096 4564.206703758976801 2.156402089569826 4565.728359588779313 2.168250542981407 4567.250522721738889 2.184674141358470 4568.773193326977889 2.204010618915171 4570.296371573692340 2.219227025118435 4571.820057631119198 2.233062165623512 4573.344251668557263 2.244133633674564 4574.868953855356267 2.258488214033193 4576.394164360937793 2.274624741010018 4577.919883354765261 2.276212899699898 4579.446111006361207 2.278443145771302 4580.972847485303646 2.282184474066257 4582.500092961237897 2.287728899626591 4584.027847603853843 2.294486621082090 4585.556111582902304 2.312608546016062 4587.084885068185031 2.327427299353890 4588.614168229575625 2.336602453404368 4590.143961236989526 2.337571918684990 4591.674264260404016 2.335343109646250 4593.205077469848220 2.334223584167680 4594.736401035421295 2.329961654058612 4596.268235127266053 2.321033038825916 4597.800579915586241 2.313140523752699 4599.333435570641996 2.305941948951738 4600.866802262746205 2.302303248199711 4602.400680162281787 2.293783149052922 4603.935069439676226 2.278633903850745 4605.469970265416123 2.263637677885956 4607.005382810041738 2.249713410614864 4608.541307244163363 2.244914489307379 4610.077743738435856 2.235786739248526 4611.614692463572283 2.221171573992463 4613.152153590342095 2.204859605520482 4614.690127289582961 2.187249788250673 4616.228613732176200 2.163448132734449 4617.767613089064071 2.139320605288021 4619.307125531242491 2.114801444892675 4620.847151229777410 2.095235773975162 4622.387690355778432 2.076435385311061 4623.928743080417007 2.053700444478119 4625.470309574915518 2.028681967585832 4627.012390010569106 2.000990768840233 4628.554984558714750 1.982483615949602 4630.098093390753093 1.965581996827990 4631.641716678134799 1.943106439264142 4633.185854592383293 1.919929602858375 4634.730507305064748 1.895920814681421 4636.275674987808088 1.867459646728333 4637.821357812292263 1.838512985097205 4639.367555950270798 1.814717753770504 4640.914269573537240 1.782854332602617 4642.461498853950616 1.741080375180273 4644.009243963419067 1.709382994756610 4645.557505073923494 1.679713779388292 4647.106282357489363 1.643546674462012 4648.655575986203075 1.607908449872020 4650.205386132207423 1.572958168478736 4651.755712967698855 1.537084206687305 4653.306556664945674 1.502043590617894 4654.857917396258927 1.477782670856369 4656.409795334012415 1.451817745465815 4657.962190650632692 1.423489010491406 4659.515103518616343 1.396199393225763 4661.068534110505425 1.369130884809433 4662.622482598902934 1.340308379728988 4664.176949156465525 1.312215671773836 4665.731933955920795 1.285237576076533 4667.287437170039993 1.259818500304449 4668.843458971657128 1.234876584341681 4670.399999533658956 1.206884769135896 4671.957059029003176 1.179065047209883 4673.514637630692050 1.151552897847810 4675.072735511790597 1.129455119349261 4676.631352845414767 1.109654411461970 4678.190489804754179 1.079281304824943 4679.750146563042108 1.055407561441033 4681.310323293572765 1.044922113009402 4682.871020169695839 1.031100539505935 4684.432237364830144 1.015461852715666 4685.993975052440874 0.994723653362963 4687.556233406052343 0.973875312829024 4689.119012599246162 0.953251422448840 4690.682312805673064 0.937669089551606 4692.246134199029257 0.925499470098693 4693.810476953070975 0.911011951895371 4695.375341241609931 0.895403685472619 4696.940727238530599 0.876836518248101 4698.506635117758378 0.857536063035010 4700.073065053284154 0.837626953418719 4701.640017219155197 0.830950654682493 4703.207491789472442 0.825008624006725 4704.775488938410490 0.812298988132025 4706.344008840183960 0.802862530182967 4707.913051669075685 0.796875236821022 4709.482617599416699 0.795158856298018 4711.052706805614434 0.794282646047599 4712.623319462117252 0.791457270440106 4714.194455743438084 0.786837205040569 4715.766115824143526 0.779767131598558 4717.338299878871112 0.770611387568835 4718.911008082303852 0.760653460159526 4720.484240609186600 0.750573916833616 4722.057997634318781 0.743026500650036 4723.632279332570761 0.740359546165164 4725.207085878859289 0.734571461715823 4726.782417448162050 0.727116942020280 4728.358274215510392 0.725094611536293 4729.934656356011146 0.723785633915378 4731.511564044811166 0.723899492121131 4733.088997457123696 0.724925756275046 4734.666956768213822 0.726659132123143 4736.245442153419390 0.726341612923638 4737.824453788123719 0.724776316647234 4739.403991847771977 0.718718422423505 4740.984056507863897 0.713831767657757 4742.564647943971977 0.710196935747630 4744.145766331712366 0.708941934076663 4745.727411846764880 0.708410108262465 4747.309584664868453 0.708255970091408 4748.892284961814767 0.707645044192540 4750.475512913469174 0.706309788202933 4752.059268695740684 0.706004326759775 4753.643552484602878 0.706194636722241 4755.228364456081181 0.708622051811476 4756.813704786277412 0.710469167720081 4758.399573651334322 0.710672463076603 4759.985971227459231 0.710648250633195 4761.572897690914942 0.710453053337674 4763.160353218036107 0.713297918931689 4764.748337985201033 0.716792914100119 4766.336852168852602 0.721282254023244 4767.925895945487355 0.724012742209217 4769.515469491676413 0.724650249007422 4771.105572984033643 0.730665559332363 4772.696206599237485 0.738254951937264 4774.287370514020040 0.742536214334639 4775.879064905186169 0.744816196681505 4777.471289949587117 0.743073150412864 4779.064045824135974 0.742359475423411 4780.657332705801309 0.742249663887111 4782.251150771624452 0.747695528794583 4783.845500198692207 0.752492855612476 4785.440381164153223 0.752788067972981 4787.035793845211629 0.754086324266058 4788.631738419146131 0.756393115540555 4790.228215063279094 0.755903665371787 4791.825223954996545 0.754750133036641 4793.422765271738172 0.755097851018372 4795.020839191019149 0.754567575027538 4796.619445890399220 0.752498758972200 4798.218585547499970 0.754341666358434 4799.818258340003922 0.758356118529160 4801.418464445647260 0.757106072916170 4803.019204042241654 0.755278409034204 4804.620477307641522 0.752798518126708 4806.222284419765856 0.751920740587832 4807.824625556588217 0.752681032836210 4809.427500896156744 0.753998117221620 4811.030910616563233 0.755729349518204 4812.634854895964963 0.761345665682392 4814.239333912573784 0.764662378935246 4815.844347844673393 0.763433436850606 4817.449896870593875 0.759422981921109 4819.055981168730796 0.753726073507065 4820.662600917531563 0.752515409432719 4822.269756295520892 0.752901647075894 4823.877447481265335 0.758610035737003 4825.485674653397837 0.764349621082230 4827.094437990605002 0.770125875387062 4828.703737671648923 0.769633269867017 4830.313573875335351 0.766902342059198 4831.923946780535516 0.766168573508987 4833.534856566173403 0.766858203687245 4835.146303411250301 0.771059071521666 4836.758287494810247 0.775983444231356 4838.370808995962761 0.781469096211617 4839.983868093871024 0.778727438406362 4841.597464967775522 0.775059393064172 4843.211599796958581 0.777246660100751 4844.826272760768916 0.779755680844335 4846.441484038608905 0.782785791107519 4848.057233809957324 0.786119232114194 4849.673522254337513 0.789617961116199 4851.290349551335567 0.795242037314989 4852.907715880599426 0.802248799913450 4854.525621421832511 0.814106521119231 4856.144066354811002 0.821977207886957 4857.763050859357463 0.825274164960715 4859.382575115358122 0.836138534074119 4861.002639302757416 0.849880760905787 4862.623243601569811 0.857025981995209 4864.244388191859798 0.865690896815382 4865.866073253752802 0.878505405148437 4867.488298967431547 0.887985879994204 4869.111065513154244 0.894497274703250 4870.734373071221853 0.902655613795814 4872.358221822003543 0.911364291427376 4873.982611945920326 0.922087977818053 4875.607543623470519 0.934542085527653 4877.233017035197918 0.950593701454516 4878.859032361709069 0.963541974902631 4880.485589783668729 0.974331825688794 4882.112689481815323 0.979101272738773 4883.740331636932751 0.983274493010172 4885.368516429868578 0.991201360158334 4886.997244041529484 0.999412747082529 4888.626514652894002 1.008113855898959 4890.256328444987048 1.017900592536703 4891.886685598899930 1.028310855571879 4893.517586295777619 1.034475364601315 4895.149030716841480 1.039725648850915 4896.781019043358356 1.042696182138406 4898.413551456660571 1.046363638496236 4900.046628138139567 1.051023494572686 4901.680249269244086 1.053837438367616 4903.314415031497447 1.055731250550433 4904.949125606469352 1.060781644874782 4906.584381175793169 1.065622695934319 4908.220181921158655 1.068214222987962 4909.856528024332874 1.068636672177879 4911.493419667126545 1.066202583130242 4913.130857031415871 1.067616502128717 4914.768840299133444 1.070755590022192 4916.407369652289162 1.073971250451227 4918.046445272933852 1.076886327570768 4919.686067343190189 1.078470776496660 4921.326236045230871 1.078780144890797 4922.966951561307724 1.077522932953843 4924.608214073718045 1.074643433424637 4926.250023764823709 1.071066303896316 4927.892380817042977 1.061240064306484 4929.535285412870508 1.051018727809254 4931.178737734846436 1.040502678514348 4932.822737965575470 1.030087756048603 4934.467286287719617 1.019796368470408 4936.112382884017279 1.011094543697429 4937.758027937250517 1.003071146575794 4939.404221630271422 0.997164243893797 4941.050964145982107 0.991495394846020 4942.698255667366539 0.986298090569206 4944.346096377450522 0.979544008570816 4945.994486459328073 0.970812962081068 4947.643426096148687 0.959454532169330 4949.292915471138258 0.946898234792964 4950.942954767568153 0.937764274276018 4952.593544168775225 0.928323435551245 4954.244683858159988 0.916263677170129 4955.896374019174800 0.906891922097816 4957.548614835353874 0.901211309174370 4959.201406490272348 0.892792973551008 4960.854749167574482 0.882964137901284 4962.508643050960018 0.870473116831806 4964.163088324204182 0.858269328228553 4965.818085171131315 0.849354168575231 4967.473633775627604 0.842199475844313 4969.129734321639262 0.837815784170371 4970.786386993186170 0.832656251737600 4972.443591974338233 0.827043221146836 4974.101349449227200 0.817363348375015 4975.759659602043030 0.806773778631389 4977.418522617054805 0.793888263127991 4979.077938678573446 0.783215827015505 4980.737907970979904 0.776690516602193 4982.398430678708792 0.771167641149065 4984.059506986273846 0.766343500597308 4985.721137078233369 0.760237551286244 4987.383321139213876 0.753841186839142 4989.046059353896453 0.747185178231643 4990.709351907040400 0.740765756333292 4992.373198983450493 0.734917273141578 4994.037600767998811 0.728535464070957 4995.702557445614730 0.721686328277330 4997.368069201302205 0.715182716404484 4999.034136220114306 0.708797172000738 5000.700758687167763 0.708343592609494 5002.367936787644794 0.708863902333904 5004.035670706781275 0.712492176602071 5005.703960629891299 0.714900567225763 5007.372806742336252 0.715931874547749 5009.042209229542095 0.715105726381312 5010.712168276992998 0.713491053370912 5012.382684070251344 0.711884164050739 5014.053756794924084 0.710881490760572 5015.725386636685471 0.712963367450707 5017.397573781267965 0.716247025820258 5019.070318414480425 0.721339865115398 5020.743620722177184 0.724070948839066 5022.417480890281695 0.725412426698434 5024.091899104772892 0.724800423080183 5025.766875551708836 0.723923618266557 5027.442410417190331 0.723738078360224 5029.118503887390034 0.722691846799357 5030.795156148533351 0.719826579668315 5032.472367386927544 0.719813756503586 5034.150137788923530 0.722193750711990 5035.828467540939528 0.723980034488659 5037.507356829451965 0.725586969892589 5039.186805841014575 0.729058967445661 5040.866814762227477 0.732195751126794 5042.547383779758093 0.734159698419735 5044.228513080332050 0.733699402900498 5045.910202850750466 0.730358406146933 5047.592453277863569 0.727970099061031 5049.275264548587074 0.726044214218483 5050.958636849896720 0.726839548825053 5052.642570368841916 0.728115696674615 5054.327065292523002 0.730674563133677 5056.012121808105803 0.732726030208130 5057.697740102817988 0.733839739223459 5059.383920363945435 0.732272140965535 5061.070662778852238 0.728742166773576 5062.757967534949785 0.726703808464911 5064.445834819714946 0.725063439572167 5066.134264820683711 0.724886472011542 5067.823257725471194 0.725065719186876 5069.512813721736165 0.726381337621944 5071.202932997207427 0.727200886783236 5072.893615739671986 0.727445212534329 5074.584862136993252 0.726853702322074 5076.276672377081923 0.725873617442079 5077.969046647916912 0.728973899716987 5079.661985137535339 0.732392277375451 5081.355488034050722 0.735150094668643 5083.049555525626602 0.737422973332306 5084.744187800491090 0.738761970838822 5086.439385046932330 0.739390967757536 5088.135147453314858 0.739461879629187 5089.831475208053234 0.738904082796117 5091.528368499627504 0.738177020179589 5093.225827516575919 0.739332312019144 5094.923852447514946 0.739618664446069 5096.622443481110167 0.736824968117842 5098.321600806092647 0.734987142148365 5100.021324611253476 0.734384539769633 5101.721615085461053 0.735381934542548 5103.422472417631070 0.737249583272200 5105.123896796747431 0.744765363276985 5106.825888411852247 0.752697945024095 5108.528447452065848 0.755355203642456 5110.231574106557673 0.756768914384517 5111.935268564562648 0.755363067448586 5113.639531015380271 0.756830903381558 5115.344361648368249 0.760995203425530 5117.049760652962505 0.770453738491102 5118.755728218646254 0.781845738898790 5120.462264534971837 0.788070509355181 5122.169369791548888 0.794201153642272 5123.877044178067081 0.801435090857725 5125.585287884261561 0.807919274094982 5127.294101099937507 0.813134841480083 5129.003484014958303 0.819925049786198 5130.713436819265553 0.827824345715034 5132.423959702849061 0.834753410244992 5134.135052855766844 0.841473528645172 5135.846716468135128 0.850022652347624 5137.558950730148354 0.858496773747690 5139.271755832050985 0.866708763225070 5140.985131964152970 0.874435481498350 5142.699079316826101 0.881515163011585 5144.413598080518568 0.888029455501603 5146.128688445727676 0.894231525043597 5147.844350603018029 0.903146695852702 5149.560584743013351 0.912994487220554 5151.277391056418310 0.928990528179500 5152.994769733983048 0.943591066036828 5154.712720966526831 0.954633421874508 5156.431244944929858 0.967286426528750 5158.150341860147819 0.981620008894705 5159.870011903186423 0.998024544143547 5161.590255265120504 1.015305113129101 5163.311072137088559 1.035042250652250 5165.032462710287291 1.055133594596115 5166.754427175992532 1.076000486577592 5168.476965725527407 1.096406236384442 5170.200078550286889 1.115838862999755 5171.923765841721433 1.135235753323757 5173.648027791363347 1.154602542785078 5175.372864590790414 1.171165894004227 5177.098276431653176 1.186766380180331 5178.824263505657655 1.201081739797268 5180.550826004589908 1.215573051794350 5182.277964120286924 1.231281132048694 5184.005678044652086 1.248454878724542 5185.733967969646983 1.268144069738018 5187.462834087316878 1.290315087530533 5189.192276589750691 1.314373001143369 5190.922295669110099 1.335549816245722 5192.652891517613170 1.355898888363207 5194.384064327558917 1.367333553690658 5196.115814291295464 1.379700921917073 5197.848141601238240 1.396305369796929 5199.581046449864516 1.415612523917709 5201.314529029727964 1.438993868288521 5203.048589533434097 1.456104453697298 5204.783228153654818 1.469115036612016 5206.518445083123879 1.489556916547046 5208.254240514652338 1.511484087069219 5209.990614641102184 1.521228496872344 5211.727567655403618 1.530054983167221 5213.465099750545050 1.535676118925900 5215.203211119597654 1.542505792750644 5216.941901955678986 1.550992084566696 5218.681172451977545 1.560410080857999 5220.421022801744584 1.570383103121391 5222.161453198292293 1.589693563075609 5223.902463835011986 1.610595271235161 5225.644054905344092 1.626953082981625 5227.386226602799070 1.643054282098015 5229.128979120945587 1.658351468374244 5230.872312653434165 1.671753295203676 5232.616227393962617 1.682824219391957 5234.360723536299702 1.687334797368899 5236.105801274272380 1.688371447115634 5237.851460801789472 1.698371289467818 5239.597702312807087 1.709524009699080 5241.344526001354097 1.715982960593400 5243.091932061513944 1.722933700501726 5244.839920687454651 1.731249780146481 5246.588492073392445 1.739274141446086 5248.337646413612674 1.746958642724891 5250.087383902459806 1.754738497387734 5251.837704734360159 1.762566068882673 5253.588609103789167 1.759468190538838 5255.340097205291386 1.755387258216167 5257.092169233470486 1.758881234599103 5258.844825383013813 1.762019465679260 5260.598065848653277 1.764225102671013 5262.351890825193550 1.768915216467820 5264.106300507501146 1.776298173728373 5265.861295090518979 1.781484582052938 5267.616874769240894 1.785658816351956 5269.373039738733496 1.780805841517294 5271.129790194117959 1.773848465053828 5272.887126330601859 1.757675920106378 5274.645048343438248 1.745643928319656 5276.403556427952935 1.743615924917427 5278.162650779533578 1.747664770182326 5279.922331593632407 1.758032671720162 5281.682599065778049 1.759374890628417 5283.443453391550975 1.756638201358475 5285.204894766602592 1.755561557067483 5286.966923386642520 1.754699391548136 5288.729539447462230 1.753998540550350 5290.492743144902306 1.753485959757455 5292.256534674876093 1.753408734830844 5294.020914233353324 1.757225423747265 5295.785882016387404 1.764949903340701 5297.551438220079945 1.761966301251730 5299.317583040604404 1.754458306234491 5301.084316674194270 1.749567183063763 5302.851639317163063 1.744479089244850 5304.619551165875237 1.735452003593638 5306.388052416765277 1.730619133823067 5308.157143266328603 1.735134500554700 5309.926823911140673 1.740560165497678 5311.697094547826055 1.746852657786236 5313.467955373083896 1.759024756284624 5315.239406583670643 1.773598145020780 5317.011448376424596 1.778495084210218 5318.784080948233168 1.780804570394288 5320.557304496056531 1.770124152193464 5322.331119216913066 1.761896595894974 5324.105525307905737 1.758840896444612 5325.880522966184799 1.758495714033966 5327.656112388971451 1.760668236547896 5329.432293773553283 1.757779563710518 5331.209067317279732 1.752884503441460 5332.986433217579361 1.750466393929236 5334.764391671933481 1.748053867708557 5336.542942877891619 1.744129339819646 5338.322087033065145 1.741920896417459 5340.101824335149104 1.743336484132539 5341.882154981885833 1.742893907378633 5343.663079171088611 1.740759430335392 5345.444597100634383 1.740497852050541 5347.226708968479215 1.740941119440063 5349.009414972631930 1.735758142159872 5350.792715311167740 1.730931255771304 5352.576610182228251 1.731274896949025 5354.361099784034195 1.731382423460044 5356.146184314857237 1.731012896238705 5357.931863973039071 1.733005992077755 5359.718138956983239 1.737070165553084 5361.505009465176954 1.750495029865227 5363.292475696154725 1.767283872952132 5365.080537848523818 1.774802743271755 5366.869196120953347 1.779798152310004 5368.658450712192462 1.773389327526585 5370.448301821043060 1.762472818678523 5372.238749646377983 1.743220432600060 5374.029794387128277 1.739794558974800 5375.821436242312302 1.749188762571990 5377.613675410993892 1.758688033452745 5379.406512092312369 1.768223507313021 5381.199946485465262 1.777602614588339 5382.993978789734683 1.785869940154163 5384.788609204451859 1.787990214511804 5386.583837929018955 1.787786206595614 5388.379665162907258 1.783422910683964 5390.176091105648084 1.780439517544959 5391.973115956854599 1.778540616844559 5393.770739916189996 1.781607888071266 5395.568963183390224 1.786223489767535 5397.367785958253990 1.793556299532684 5399.167208440660943 1.800115476821274 5400.967230830539847 1.802442300391539 5402.767853327895864 1.801795515576819 5404.569076132790542 1.796220221618779 5406.370899445370924 1.782246473926557 5408.173323465834983 1.762127897480341 5409.976348394451634 1.759257781976642 5411.779974431551636 1.761255348360681 5413.584201777548515 1.765544732373766 5415.389030632906724 1.768204801998442 5417.194461198163481 1.763645136180053 5419.000493673915116 1.759312684921529 5420.807128260844365 1.755331602102591 5422.614365159682166 1.751888434478081 5424.422204571232214 1.748803714667520 5426.230646696361873 1.752425772656402 5428.039691736017630 1.757487578028887 5429.849339891201453 1.748080727530388 5431.659591362983520 1.739822608965220 5433.470446352497675 1.735763469457886 5435.281905060961435 1.735840182418654 5437.093967689643250 1.741490509456630 5438.906634439882509 1.740218906318282 5440.719905513086815 1.734923782562229 5442.533781110723794 1.725958217694407 5444.348261434349297 1.716380280162414 5446.163346685563738 1.708545961056090 5447.979037066045748 1.698751700851328 5449.795332777530348 1.683167491306486 5451.612234021842596 1.667981020037774 5453.429741000852118 1.653266380543740 5455.247853916505846 1.646622284277572 5457.066572970808920 1.643957548139118 5458.885898365853791 1.652213397487852 5460.705830303782932 1.662023556493550 5462.526368986808848 1.672089999405872 5464.347514617209526 1.675920293721567 5466.169267397344811 1.664445544717388 5467.991627529627294 1.652494877583471 5469.814595216540511 1.640068439862165 5471.638170660630749 1.630746300537625 5473.462354064528881 1.622713451292356 5475.287145630916712 1.623099960844270 5477.112545562547893 1.622072335165122 5478.938554062240655 1.606272039768339 5480.765171332895079 1.592003242868488 5482.592397577462179 1.580757024013694 5484.420232998969368 1.573865774645291 5486.248677800501355 1.570579876141879 5488.077732185231071 1.558861456861306 5489.907396356381469 1.544456901662714 5491.737670517248262 1.537769305018038 5493.568554871189917 1.530325583325819 5495.400049621647668 1.518179715330270 5497.232154972117314 1.510368824378314 5499.064871126165599 1.509381251365177 5500.898198287427476 1.503282007564980 5502.732136659599746 1.493758081173734 5504.566686446465610 1.489570663530781 5506.401847851858292 1.486491586601558 5508.237621079682867 1.478591484978717 5510.074006333910802 1.469820223458872 5511.911003818595418 1.458151984452629 5513.748613737840969 1.444736937886393 5515.586836295828107 1.429147142117386 5517.425671696795689 1.427458826660208 5519.265120145071705 1.432901006872880 5521.105181845034167 1.433828290325200 5522.945857001133845 1.433663286270134 5524.787145817883356 1.429139866436783 5526.629048499882629 1.422709663695111 5528.471565251782522 1.411903806352937 5530.314696278306656 1.398183311382893 5532.158441784240495 1.381748346864442 5534.002801974457725 1.367891477521514 5535.847777053881146 1.354969076838898 5537.693367227507224 1.348578930281945 5539.539572700396093 1.342276891109375 5541.386393677693377 1.334713111979327 5543.233830364596542 1.324986055253902 5545.081882966374906 1.311823198957788 5546.930551688361447 1.300929837252397 5548.779836735978279 1.291544661151060 5550.629738314692077 1.280100989414967 5552.480256630050462 1.268202350685705 5554.331391887658356 1.256186329721968 5556.183144293210717 1.246237803925312 5558.035514052451617 1.242323739841143 5559.888501371199709 1.236292437187890 5561.742106455342764 1.227911221850565 5563.596329510830401 1.220759680320317 5565.451170743699549 1.214136341232934 5567.306630360038071 1.208927954187658 5569.162708566007495 1.202936445625852 5571.019405567834838 1.191141305655633 5572.876721571828966 1.177592599675579 5574.734656784352410 1.160913936278819 5576.593211411844095 1.147033374577802 5578.452385660804794 1.135155665181262 5580.312179737818951 1.131332785825686 5582.172593849525583 1.129488013639362 5584.033628202636464 1.127414010039248 5585.895283003928853 1.124973137848302 5587.757558460264590 1.121432142667515 5589.620454778556450 1.108506422663333 5591.483972165794512 1.085102423130895 5593.348110829028883 1.068875778219330 5595.212870975397891 1.055777781726956 5597.078252812091705 1.057319949889483 5598.944256546375073 1.057465869262521 5600.810882385575496 1.042754062366713 5602.678130537107791 1.025764886592908 5604.546001208438611 1.004963217813190 5606.414494607108281 0.985918520240681 5608.283610940721701 0.968034914851258 5610.153350416971080 0.959188268520424 5612.023713243597740 0.952517178117623 5613.894699628420312 0.951036354649600 5615.766309779326548 0.947218632846320 5617.638543904266953 0.937729832627270 5619.511402211279346 0.928429143696430 5621.384884908454296 0.919302915147990 5623.258992203955131 0.907478613013452 5625.133724306009753 0.894734797717711 5627.009081422935196 0.895206323128601 5628.885063763097605 0.894234145954881 5630.761671534939524 0.886869344462752 5632.638904946967159 0.882165485261637 5634.516764207773122 0.880829619608350 5636.395249526003681 0.875080817856718 5638.274361110377868 0.867190759165091 5640.154099169682013 0.854420630302290 5642.034463912787032 0.842412378440654 5643.915455548614773 0.838511198450729 5645.797074286166207 0.833505300911964 5647.679320334504155 0.826622063256399 5649.562193902777835 0.819185844718005 5651.445695200189220 0.811389923993570 5653.329824436017589 0.807392473722560 5655.214581819604973 0.803400652883647 5657.099967560378900 0.791016652870146 5658.985981867821465 0.782637435514183 5660.872624951491161 0.782935805895729 5662.759897021007419 0.784918862671488 5664.647798286079706 0.788275748111105 5666.536328956468424 0.785521660307291 5668.425489242010372 0.781034867201892 5670.315279352606922 0.773412618885325 5672.205699498246759 0.766214192334718 5674.096749888969498 0.760181234173343 5675.988430734892063 0.754657919663025 5677.880742246202317 0.749631142221777 5679.773684633150879 0.744965108318170 5681.667258106075678 0.740420424736847 5683.561462875368306 0.736918614785334 5685.456299151495841 0.733731771611811 5687.351767144990845 0.731558592023765 5689.247867066470462 0.728138081364634 5691.144599126608227 0.723330012979635 5693.041963536152252 0.720714384418047 5694.939960505914314 0.718983286259329 5696.838590246794411 0.718246712993059 5698.737852969746200 0.717498964490934 5700.637748885797919 0.716537579223089 5702.538278206045106 0.716601240578836 5704.439441141667885 0.717910494029073 5706.341237903900947 0.718136507530395 5708.243668704055381 0.717886264525252 5710.146733753505941 0.714891044599916 5712.050433263717423 0.710827228725072 5713.954767446203732 0.702885403568245 5715.859736512559721 0.700175598338217 5717.765340674442086 0.704107446397103 5719.671580143596657 0.708590782771503 5721.578455131821102 0.713325142811784 5723.485965850990397 0.719953117683068 5725.394112513045002 0.725270685725595 5727.302895330012689 0.724475574971894 5729.212314513975798 0.726386544770907 5731.122370277089431 0.731727888217300 5733.033062831578718 0.735787976594983 5734.944392389752466 0.739279376594794 5736.856359163976776 0.742441432957899 5738.768963366690514 0.746940785221797 5740.682205210406210 0.756929377023336 5742.596084907700060 0.763346683430981 5744.510602671238303 0.765440095975675 5746.425758713737196 0.771612160457429 5748.341553247993033 0.779469441362874 5750.257986486866685 0.789477125222912 5752.175058643305420 0.797920805500756 5754.092769930312897 0.800584470147036 5756.011120560966447 0.807821590204050 5757.930110748412517 0.820013158736730 5759.849740705882141 0.830182623219317 5761.770010646661831 0.839641816763568 5763.690920784115406 0.847012405104528 5765.612471331671259 0.855493547359014 5767.534662502846913 0.867108046298673 5769.457494511213554 0.876452082178732 5771.380967570418761 0.883688716107508 5773.305081894175601 0.893699720656525 5775.229837696287177 0.904471955272817 5777.155235190608437 0.915417592668666 5779.081274591073452 0.925481573058479 5781.007956111679960 0.933644106053204 5782.935279966514827 0.946323958909425 5784.863246369721310 0.962296248777726 5786.791855535515424 0.978326472313450 5788.721107678184126 0.993412333112593 5790.651003012097135 1.000693340757137 5792.581541751684199 1.009256758850076 5794.512724111447824 1.019921623609739 5796.444550305965095 1.035395475704866 5798.377020549875851 1.053469590303810 5800.310135057912703 1.074410077342279 5802.243894044860099 1.096842471622339 5804.178297725578886 1.124553657660680 5806.113346314996306 1.145417482903293 5808.049040028132367 1.158122151529881 5809.985379080056191 1.175153813520412 5811.922363685916935 1.193776564685555 5813.859994060929239 1.207328337793917 5815.798270420396875 1.222170204840965 5817.737192979679094 1.240449493120594 5819.676761954210633 1.258592187324107 5821.616977559493534 1.276624146059090 5823.557840011118969 1.294484890738512 5825.499349524732679 1.312243222186400 5827.441506316057712 1.329392827445609 5829.384310600884419 1.344339888925784 5831.327762595090462 1.355656469938757 5833.271862514608074 1.364226758209861 5835.216610575451341 1.371345883924477 5837.162006993696195 1.379881737823385 5839.108051985507700 1.391142288573803 5841.054745767110035 1.412008038995894 5843.002088554800139 1.426729957795327 5844.950080564945893 1.435283908909517 5846.898722014000668 1.440598272888222 5848.848013118475137 1.445535615249131 5850.797954094957277 1.460142775687751 5852.748545160100548 1.473993349864855 5854.699786530650272 1.486387836800802 5856.651678423404519 1.493637071912879 5858.604221055240487 1.497809842292813 5860.557414643106313 1.512710824214687 5862.511259404018347 1.527062988796593 5864.465755555082069 1.534968002257270 5866.420903313458439 1.537262503744017 5868.376702896385723 1.533627775694463 5870.333154521169490 1.528082888935774 5872.290258405203531 1.522947466485267 5874.248014765938933 1.531429407640062 5876.206423820905002 1.541523841189899 5878.165485787696525 1.554539475696729 5880.125200883996513 1.561052103879701 5882.085569327548910 1.564072665149081 5884.046591336169513 1.560693426608413 5886.008267127745967 1.557699754818226 5887.970596920252319 1.557087750329684 5889.933580931719916 1.555733054722832 5891.897219380258321 1.553736812776176 5893.861512484043487 1.555228885835877 5895.826460461341412 1.556013938153457 5897.792063530474479 1.547340312025239 5899.758321909843289 1.537982182304107 5901.725235817914836 1.527703538988457 5903.692805473247063 1.523898303383773 5905.661031094452483 1.522117956083530 5907.629912900221825 1.505605385538314 5909.599451109315851 1.491276345043673 5911.569645940582632 1.481393486733667 5913.540497612928448 1.480109711285443 5915.512006345334157 1.483891923137082 5917.484172356858835 1.491497670094016 5919.456995866625221 1.496888213122298 5921.430477093847003 1.491243405306453 5923.404616257794260 1.475916191279599 5925.379413577817104 1.462030823035095 5927.354869273329314 1.456258051538902 5929.330983563839254 1.454774771249790 5931.307756668909860 1.444016572498824 5933.285188808181374 1.401783436102447 5935.263280201363159 1.399047510562578 5937.242031068253709 1.385856841221920 5939.221441628709727 1.366593970489545 5941.201512102666129 1.346218473496658 5943.182242710123319 1.328708185395318 5945.163633671176285 1.317899862918855 5947.145685205970949 1.313081268982502 5949.128397534737815 1.304668142592854 5951.111770877771050 1.295237021309641 5953.095805455456684 1.286181777696482 5955.080501488238951 1.277920508011362 5957.065859196638485 1.270644635954850 5959.051878801244129 1.252992318314187 5961.038560522737498 1.241005349149014 5963.025904581854775 1.241087425994575 5965.013911199412178 1.238468765373005 5967.002580596294138 1.216822429761003 5968.991912993473306 1.197771871213406 5970.981908611984181 1.196190372186058 5972.972567672934019 1.180913705017212 5974.963890397502837 1.167084587286222 5976.955877006960691 1.163045726402463 5978.948527722634026 1.165904698660436 5980.941842765925685 1.159881855550818 5982.935822358318546 1.143326142504895 5984.930466721358243 1.132690540547322 5986.925776076684997 1.121632636864954 5988.921750645991779 1.107193850097635 5990.918390651056143 1.094686463725329 5992.915696313718399 1.081054817920488 5994.913667855915264 1.080248884662870 5996.912305499636204 1.072433657169862 5998.911609466953450 1.061076633278314 6000.911579980005627 1.052527704466877 6002.912217261022306 1.041542287227241 6004.913521532293089 1.024000698122679 6006.915493016182154 1.012362164727148 6008.918131935126439 0.997499662099287 6010.921438511652923 0.983759713504023 6012.925412968345881 0.982006572121974 6014.930055527868717 0.976192064232480 6016.935366412952135 0.968688273826390 6018.941345846424156 0.956556474682657 6020.947994051161004 0.941094627294472 6022.955311250127124 0.926103714090348 6024.963297666348808 0.918127147762306 6026.971953522950571 0.917481025411116 6028.981279043107861 0.903091306073546 6030.991274450080709 0.883483034001959 6033.001939967194630 0.867250515185953 6035.013275817869726 0.859877245973242 6037.025282225582487 0.847090451348780 6039.037959413888530 0.828455260989182 6041.051307606411683 0.815460249303660 6043.065327026870364 0.803557874238193 6045.080017899037557 0.787176804400370 6047.095380446769923 0.771070455839756 6049.111414893994151 0.767043223564252 6051.128121464709693 0.754064799577030 6053.145500383006947 0.737828372646969 6055.163551873030883 0.720813690802941 6057.182276159012872 0.697053277786783 6059.201673465247950 0.677478623320741 6061.221744016124831 0.661697960205378 6063.242488036091345 0.645877287247409 6065.263905749673540 0.628685290744074 6067.285997381467496 0.611071204274529 6069.308763156162968 0.597138750644816 6071.332203298504282 0.578848048594170 6073.356318033319440 0.567635301609373 6075.381107585502832 0.558610443342634 6077.406572180045259 0.541696216072623 6079.432712041989362 0.526572609258438 6081.459527396464182 0.525191408531865 6083.487018468663337 0.519420693221691 6085.515185483877758 0.507960392803875 6087.544028667452039 0.495085530388287 6089.573548244813537 0.486241537972792 6091.603744441458730 0.477719967905884 6093.634617482976864 0.470635864033013 6095.666167595013576 0.463640525996379 6097.698395003298174 0.456257583792391 6099.731299933626360 0.455226163696436 6101.764882611889334 0.452550627639573 6103.799143264033773 0.447448261549864 6105.834082116090940 0.440079043816780 6107.869699394162126 0.431863303293571 6109.905995324423202 0.428494500565245 6111.942970133139170 0.425165757642991 6113.980624046636876 0.422275487196576 6116.018957291322295 0.420101599242966 6118.057970093667791 0.417821782039110 6120.097662680245776 0.408186479576496 6122.138035277681411 0.411857340040036 6124.179088112682621 0.418913087021610 6126.220821412027362 0.423722243382649 6128.263235402586361 0.422640942949628 6130.306330311289457 0.421592157935898 6132.350106365146530 0.426915064100330 6134.394563791237488 0.429777503981431 6136.439702816736826 0.429954136596065 6138.485523668876340 0.431164462564268 6140.532026574970587 0.441199921423129 6142.579211762399609 0.447651501847520 6144.627079458642584 0.452937426489252 6146.675629891235076 0.456176641159681 6148.724863287791777 0.453697808099396 6150.774779876000139 0.455190195358497 6152.825379883641290 0.465230733454025 6154.876663538552748 0.473790697956360 6156.928631068656614 0.478450336657133 6158.981282701940472 0.492078979550609 6161.034618666491042 0.504078486581769 6163.088639190449612 0.512095197862997 6165.143344502042055 0.519951680065000 6167.198734829560635 0.529990185031217 6169.254810401396753 0.530282300363492 6171.311571445995469 0.535050534246226 6173.369018191886425 0.543796291752219 6175.427150867673845 0.553857959287783 6177.485969702034708 0.561065962032871 6179.545474923737856 0.573301264062081 6181.605666761610337 0.591476788011189 6183.666545444564690 0.607781506894617 6185.728111201578940 0.620746141329842 6187.790364261729337 0.640268022471999 6189.853304854148519 0.645022499397533 6191.916933208052797 0.653109969533081 6193.981249552727604 0.668001305917373 6196.046254117553872 0.689843521581155 6198.111947131969828 0.706313900020394 6200.178328825497374 0.722821719538189 6202.245399427729353 0.740023698893835 6204.313159168350467 0.755471782091259 6206.381608277107262 0.761940665351618 6208.450746983827230 0.777294996144755 6210.520575518407895 0.790171446383771 6212.591094110843187 0.803485148375279 6214.662302991183424 0.820829205038000 6216.734202389563507 0.838694249676729 6218.806792536189278 0.854869071895895 6220.880073661360257 0.867032986802973 6222.954045995434171 0.876296753025622 6225.028709768853332 0.888814340472893 6227.104065212129171 0.897401091783710 6229.180112555869528 0.918212248110119 6231.256852030739537 0.942803689575460 6233.334283867488921 0.959192479345999 6235.412408296935610 0.965936024339623 6237.491225549996670 0.961993271238735 6239.570735857645559 0.957287668850266 6241.650939450937585 0.959477667041632 6243.731836561006276 0.980068797862637 6245.813427419057916 1.001677763908214 6247.895712256391562 1.024474476988742 6249.978691304366293 1.044822755442334 6252.062364794424866 1.055853239776178 6254.146732958078246 1.067080128312812 6256.231796026937445 1.082512349723831 6258.317554232669863 1.098077946123185 6260.404007807026574 1.110677500119601 6262.491156981826862 1.131971089795789 6264.579001988991877 1.143168317683341 6266.667543060497337 1.153381743315532 6268.756780428401726 1.165420296083185 6270.846714324838103 1.172358411860545 6272.937344982033210 1.191010725304892 6275.028672632272901 1.210175754141152 6277.120697507927616 1.225359849448245 6279.213419841436917 1.231860893370937 6281.306839865339498 1.221054618692410 6283.400957812230445 1.231247268288612 6285.495773914790334 1.248701528542965 6287.591288405768864 1.251158722928596 6289.687501518014869 1.262136106947780 6291.784413484434481 1.279605928318474 6293.882024538017504 1.296780394484701 6295.980334911825594 1.308903340472571 6298.079344839016812 1.328083326386446 6300.179054552808338 1.335291527819679 6302.279464286501934 1.335364843756809 6304.380574273474849 1.333185133384847 6306.482384747179822 1.344213750844603 6308.584895941161449 1.354297441080674 6310.688108089027082 1.366199750994505 6312.792021424466839 1.377859141281617 6314.896636181241774 1.377615334342962 6317.001952593212991 1.379028896003892 6319.107970894295249 1.390380236042409 6321.214691318492441 1.409741380884561 6323.322114099877581 1.427208009216724 6325.430239472620997 1.427057560845065 6327.539067670953955 1.423626750900192 6329.648598929189575 1.424455294472105 6331.758833481713737 1.440627637613680 6333.869771563010545 1.433229950151464 6335.981413407621403 1.435907819753053 6338.093759250174116 1.446278400922429 6340.206809325366521 1.455973287957917 6342.320563867995588 1.459506232287049 6344.435023112914678 1.460490244182037 6346.550187295066280 1.458317970343637 6348.666056649461098 1.451906012535373 6350.782631411208058 1.457869574267669 6352.899911815476116 1.472351301439372 6355.017898097518810 1.487992290364129 6357.136590492661526 1.495937240003657 6359.255989236326968 1.493718961383032 6361.376094563997867 1.494402838241348 6363.496906711241536 1.499496683641594 6365.618425913697138 1.510592970008340 6367.740652407102061 1.519717206822763 6369.863586427252812 1.513086531747459 6371.987228210030480 1.500028756880259 6374.111577991396189 1.490917292645253 6376.236636007381094 1.497520086622896 6378.362402494116395 1.509161122470201 6380.488877687792410 1.519194045260821 6382.616061824683129 1.519949533969261 6384.743955141136212 1.525301354981146 6386.872557873597543 1.525081088602622 6389.001870258572126 1.529823097374516 6391.131892532649545 1.553675559051203 6393.262624932493054 1.549401056306732 6395.394067694864134 1.539541817595172 6397.526221056581562 1.531938139221934 6399.659085254553247 1.536927344707963 6401.792660525756219 1.551832118560813 6403.926947107267551 1.554918856548582 6406.061945236225256 1.549977478828108 6408.197655149849197 1.547132426244906 6410.334077085435638 1.542760171090760 6412.471211280376338 1.548857093416501 6414.609057972124901 1.562062204247881 6416.747617398219518 1.570237903283771 6418.886889796272953 1.573522554471289 6421.026875403993472 1.567873509622940 6423.167574459150273 1.556770440480168 6425.308987199600779 1.555435737828782 6427.451113863271530 1.564641980563034 6429.593954688190934 1.578080877034166 6431.737509912444693 1.592068674328700 6433.881779774206734 1.595128221357176 6436.026764511728288 1.584766601378422 6438.172464363335166 1.572291194386513 6440.318879567450495 1.563224630944992 6442.466010362559246 1.565814713905046 6444.613856987231884 1.584227194530957 6446.762419680110725 1.604483708124816 6448.911698679938127 1.617189894447289 6451.061694225516476 1.610288931640552 6453.212406555734560 1.606856307843945 6455.363835909553018 1.605327941178659 6457.515982526033440 1.604006634720014 6459.668846644295627 1.600597142035172 6461.822428503548508 1.605380760676857 6463.976728343070135 1.615982888676623 6466.131746402243152 1.626415514072933 6468.287482920503862 1.636191031769288 6470.443938137381338 1.636169480517001 6472.601112292473772 1.626904029869970 6474.759005625482132 1.616770539797166 6476.917618376162864 1.611867350133077 6479.076950784364271 1.606806167599538 6481.237003090004691 1.600701235468403 6483.397775533103413 1.606929498766654 6485.559268353737934 1.617009852826782 6487.721481792077611 1.625294799998917 6489.884416088358194 1.627150812251672 6492.048071482920932 1.620181907294989 6494.212448216165285 1.611881663789005 6496.377546528578023 1.605688348096701 6498.543366660716856 1.607589845980632 6500.709908853243178 1.610475597978160 6502.877173346878408 1.610532634015597 6505.045160382427639 1.609113705612723 6507.213870200778729 1.614283691632896 6509.383303042893203 1.618535300958188 6511.553459149832634 1.621156354204895 6513.724338762719526 1.620725129950822 6515.895942122760971 1.599702727071746 6518.068269471241365 1.588358340055632 6520.241321049541511 1.583599912600463 6522.415097099107697 1.583310177384837 6524.589597861468064 1.578898654090160 6526.764823578228970 1.576651286022524 6528.940774491094089 1.574485124525884 6531.117450841829850 1.565524981538879 6533.294852872289994 1.570533514933666 6535.472980824399201 1.572313819599595 6537.651834940187655 1.565677107948397 6539.831415461741926 1.549521581963911 6542.011722631237717 1.543057919077710 6544.192756690924398 1.538429944134935 6546.374517883154112 1.529664833339668 6548.557006450335393 1.519963833576222 6550.740222634969541 1.511453831034000 6552.924166679628797 1.505087171700184 6555.108838826986357 1.503506817119751 6557.294239319777262 1.498661527909986 6559.480368400823863 1.491865560349021 6561.667226313022184 1.483485238189259 6563.854813299371017 1.474680408336068 6566.043129602927365 1.468353976154210 6568.232175466838271 1.461515352104124 6570.421951134324445 1.451174976849659 6572.612456848707552 1.454954881081984 6574.803692853370194 1.447305261191693 6576.995659391783192 1.430994894092045 6579.188356707498315 1.419994337755103 6581.381785044142816 1.412543093725639 6583.575944645443087 1.406138688400210 6585.770835755188273 1.399917266780869 6587.966458617255739 1.393693045518612 6590.162813475595613 1.386984075535529 6592.359900574262610 1.380300243525662 6594.557720157368749 1.374422842874763 6596.756272469117903 1.368009760740269 6598.955557753786707 1.366801278041321 6601.155576255752749 1.370216942157819 6603.356328219455463 1.367830887389986 6605.557813889425233 1.356825235544875 6607.760033510262474 1.346545012878203 6609.962987326672192 1.343982372156855 6612.166675583421238 1.352686609475892 6614.371098525362868 1.345448361900028 6616.576256397426732 1.327624567841252 6618.782149444643437 1.318776159033392 6620.988777912106343 1.313788571312033 6623.196142044996122 1.306801857711760 6625.404242088567116 1.295347952535283 6627.613078288179167 1.285386888439833 6629.822650889252145 1.271767511259464 6632.032960137292321 1.261919727877361 6634.244006277883273 1.271314268745969 6636.455789556711352 1.275718185115192 6638.668310219522937 1.275526489727642 6640.881568512153535 1.269070499315450 6643.095564680520511 1.235108035343543 6645.310298970616714 1.224733831988442 6647.525771628537768 1.226724657904875 6649.741982900441144 1.231644234745464 6651.958933032570712 1.215011382187369 6654.176622271248561 1.200717453536891 6656.395050862898643 1.191011586683663 6658.614219054004934 1.176144515296368 6660.834127091142363 1.156596085774106 6663.054775220961346 1.140792236028484 6665.276163690213252 1.137532921559605 6667.498292745712206 1.137567281966005 6669.721162634361463 1.138087456449297 6671.944773603140675 1.137630846685922 6674.169125899130449 1.129366886238493 6676.394219769474148 1.117858727306348 6678.620055461404263 1.107681967377618 6680.846633222229684 1.102490843294142 6683.073953299362074 1.094346387491275 6685.302015940273122 1.089294216436194 6687.530821392526377 1.085120514303315 6689.760369903759965 1.069503909209837 6691.990661721714787 1.056106000641492 6694.221697094195406 1.045687683887422 6696.453476269092789 1.039385157617038 6698.685999494377029 1.031649473124516 6700.919267018118262 1.024018233280267 6703.153279088453019 1.016028021312815 6705.388035953602412 1.005168534002461 6707.623537861867590 0.995507415215506 6709.859785061650655 0.987655076212732 6712.096777801416465 0.982397607090311 6714.334516329719918 0.978164910060255 6716.573000895199584 0.978725187856451 6718.812231746567704 0.981624841359904 6721.052209132642020 0.975756557552198 6723.292933302302117 0.968021229491135 6725.534404504516715 0.960784545340450 6727.776622988332747 0.955625836290557 6730.019589002897192 0.956256947388717 6732.263302797424330 0.953929107074112 6734.507764621213937 0.947994887798137 6736.752974723644002 0.936836253038230 6738.998933354196197 0.928308020972974 6741.245640762414041 0.921818227882887 6743.493097197932912 0.917515736335779 6745.741302910461854 0.908111455809742 6747.990258149817237 0.901564854539333 6750.239963165873633 0.897951073614795 6752.490418208600204 0.894314186549334 6754.741623528039781 0.885317380346020 6756.993579374340698 0.877906903896914 6759.246285997713130 0.878409666387905 6761.499743648456388 0.875523091507639 6763.753952576949814 0.876799847541940 6766.008913033674617 0.881396802158716 6768.264625269173848 0.876002903306570 6770.521089534082421 0.873127932787400 6772.778306079112554 0.870922052858752 6775.036275155080148 0.867506098618461 6777.294997012862041 0.860353474548131 6779.554471903428748 0.856819883402477 6781.814700077825364 0.857896216922105 6784.075681787202484 0.858469557087247 6786.337417282774368 0.862721462991747 6788.599906815843497 0.866097434776971 6790.863150637797844 0.860979037322609 6793.127149000102690 0.852686917446025 6795.391902154326999 0.847948474517185 6797.657410352103398 0.848544634500287 6799.923673845153644 0.850248954577365 6802.190692885278622 0.847835651540616 6804.458467724383809 0.841313328031602 6806.726998614437434 0.828775184172398 6808.996285807497770 0.825502257006363 6811.266329555700395 0.829261464891320 6813.537130111288207 0.840356330690108 6815.808687726563221 0.829919881016413 6818.081002653921132 0.817133538557071 6820.354075145835850 0.799861403095303 6822.627905454883148 0.767524775559854 6824.902493833705194 0.719898812751998 6827.177840535034193 0.674639619305044 6829.453945811677841 0.643615142690566 6831.730809916552971 0.649898145580004 6834.008433102634626 0.674791771609909 6836.286815622994254 0.713043959966401 6838.565957730778791 0.742321523306052 6840.845859679238856 0.752706359289577 6843.126521721689642 0.752953909070251 6845.407944111539109 0.747579723685190 6847.690127102271617 0.742738737793383 6849.973070947477026 0.740336385789777 6852.256775900807042 0.740872689404622 6854.541242216009778 0.745954285440676 6856.826470146912470 0.755251633457633 6859.112459947422394 0.767985179743114 6861.399211871554144 0.784388908854627 6863.686726173382340 0.791996610360472 6865.975003107076191 0.798604837870979 6868.264042926882212 0.806300249063878 6870.553845887150601 0.806054955946001 6872.844412242298858 0.810525894254055 6875.135742246831796 0.818915703590237 6877.427836155337900 0.830534646909677 6879.720694222505699 0.839293531070647 6882.014316703091026 0.841678760904144 6884.308703851940663 0.834201429404056 6886.603855923980518 0.843134949455575 6888.899773174239272 0.848561439604071 6891.196455857814726 0.849949718013886 6893.493904229891086 0.850857837820776 6895.792118545735320 0.845931422481752 6898.091099060718079 0.842120491031787 6900.390846030274588 0.846922099295741 6902.691359709931930 0.848539735726203 6904.992640355296317 0.852128684066557 6907.294688222078548 0.858396663871952 6909.597503566055821 0.864398418760984 6911.901086643096278 0.873755175384324 6914.205437709146281 0.882172697693296 6916.510557020259512 0.881438721825199 6918.816444832552406 0.870207279772826 6921.123101402235079 0.866058242352373 6923.430526985595861 0.875533348824272 6925.738721839029495 0.888964529978584 6928.047686218995295 0.891783040681107 6930.357420382044438 0.889251782447650 6932.667924584813591 0.897820247626413 6934.979199084018546 0.904694114888246 6937.291244136482419 0.908292517860246 6939.604059999091987 0.906639121257003 6941.917646928825889 0.898585922264474 6944.232005182743706 0.891367812365386 6946.547135018008703 0.886532419731079 6948.863036691852358 0.891602367098881 6951.179710461595278 0.888647437263818 6953.497156584639924 0.885666302298870 6955.815375318494262 0.891909949891737 6958.134366920729917 0.890433239446462 6960.454131649014016 0.885981522970217 6962.774669761090991 0.879828583131888 6965.095981514810774 0.883467221703967 6967.418067168092421 0.884724522273950 6969.740926978944117 0.884511163344319 6972.064561205454083 0.884083942210799 6974.388970105818771 0.883479992797506 6976.714153938299205 0.885291132156276 6979.040112961247360 0.890969709175556 6981.366847433097064 0.894416575246109 6983.694357612388558 0.894555738904917 6986.022643757727565 0.891613710764912 6988.351706127810758 0.885446433559184 6990.681544981417574 0.881693302730715 6993.012160577432951 0.883536179907004 6995.343553174806402 0.895144046753982 6997.675723032582027 0.892391607894159 7000.008670409889419 0.887759331010542 7002.342395565938205 0.882998664089868 7004.676898760044423 0.882517411298311 7007.012180251592326 0.884307222408573 7009.348240300056204 0.888299767580919 7011.685079164990384 0.895408611981199 7014.022697106059240 0.895082124430529 7016.361094382990814 0.894784403113914 7018.700271255606822 0.896246248193649 7021.040227983808109 0.900604942975481 7023.380964827604657 0.900841421339260 7025.722482047071935 0.900814115262417 7028.064779902377268 0.909519712877639 7030.407858653768926 0.914809321340971 7032.751718561604321 0.919285183081269 7035.096359886304526 0.923849910469208 7037.441782888385205 0.912606765709454 7039.787987828442056 0.901380059282396 7042.134974967178096 0.895800406799706 7044.482744565363646 0.919289657554552 7046.831296883860887 0.930749531279718 7049.180632183613852 0.932951640596663 7051.530750725672988 0.924978132121480 7053.881652771156951 0.921181965724016 7056.233338581275348 0.921602545293948 7058.585808417321459 0.925470869485641 7060.939062540693158 0.927201312457369 7063.293101212857437 0.934051664514710 7065.647924695373149 0.941899179820825 7068.003533249881002 0.946551316374164 7070.359927138128114 0.944480920447922 7072.717106621930725 0.945171574283801 7075.075071963197843 0.950443572363033 7077.433823423923968 0.960587870374127 7079.793361266185457 0.965234157223173 7082.153685752168712 0.966686139835967 7084.514797144123804 0.967403021507674 7086.876695704398117 0.968633448835901 7089.239381695415432 0.974515787056880 7091.602855379712310 0.986500434276584 7093.967117019889884 0.992731059812996 7096.332166878642965 1.003720081481088 7098.698005218747312 1.016574723454275 7101.064632303089638 1.024760904080291 7103.432048394620324 1.020743743915553 7105.800253756386155 1.014624159616888 7108.169248651513044 1.010151765751805 7110.539033343238771 1.011467033532253 7112.909608094863870 1.013752993598585 7115.280973169785284 1.014083707428315 7117.653128831482718 1.001622338901093 7120.026075343541379 1.006247695827889 7122.399812969616505 1.010246524418016 7124.774341973456103 1.003715974518888 7127.149662618889124 0.986701500227790 7129.525775169854569 0.977434837793725 7131.902679890357831 0.974468785408535 7134.280377044499801 0.968568464797390 7136.658866896461404 0.960156213850521 7139.038149710533617 0.955014179067769 7141.418225751074715 0.958109252218572 7143.799095282536655 0.962689446433879 7146.180758569454156 0.967225273108711 7148.563215876471077 0.970880928370969 7150.946467468295850 0.969371486949110 7153.330513609736045 0.979081256525150 7155.715354565685629 0.991786135052220 7158.100990601118610 1.001906494054422 7160.487421981120860 1.013727406716558 7162.874648970843737 1.028554416964078 7165.262671835535002 1.044043901913817 7167.651490840524275 1.044896453321880 7170.041106251248493 1.046390474825543 7172.431518333213717 1.048762182548736 7174.822727352022412 1.052467411278049 7177.214733573356170 1.056252631038731 7179.607537263008453 1.062582898884507 7182.001138686839113 1.070286505130802 7184.395538110803500 1.070494054515888 7186.790735800938819 1.060491631461904 7189.186732023392324 1.045515756769433 7191.583527044379480 1.028439779509326 7193.981121130211250 1.024440724942985 7196.379514547277722 1.030455347767415 7198.778707562082673 1.044192201148001 7201.178700441196270 1.055001589403678 7203.579493451283270 1.062473391204132 7205.981086859093011 1.063170438253137 7208.383480931482154 1.052653542545971 7210.786675935376479 1.047185852013000 7213.190672137798174 1.048581449204965 7215.595469805849461 1.053804294391493 7218.001069206746251 1.048092986189310 7220.407470607769028 1.044143904619449 7222.814674276295591 1.042496672142151 7225.222680479793780 1.043980106528793 7227.631489485812381 1.060495477609311 7230.041101562010226 1.065244754243686 7232.451516976117091 1.063342106953319 7234.862735995954608 1.078396105004802 7237.274758889429904 1.091052867687074 7239.687585924559244 1.097295776690196 7242.101217369428014 1.094090618226702 7244.515653492218007 1.104010440638987 7246.930894561191053 1.095287463255372 7249.346940844723576 1.078584101621308 7251.763792611255667 1.080196279116982 7254.181450129328368 1.097784386401049 7256.599913667562760 1.111090670343656 7259.019183494690878 1.113386771292589 7261.439259879513884 1.110605678636389 7263.860143090928432 1.109297982184885 7266.281833397913942 1.110684544993246 7268.704331069563523 1.117637680475198 7271.127636375034854 1.135050853080758 7273.551749583584751 1.146851526665308 7275.976670964550067 1.150268357926609 7278.402400787383158 1.149769362453509 7280.828939321602775 1.164399182092061 7283.256286836822255 1.179727593674057 7285.684443602739520 1.182511113428914 7288.113409889166178 1.189473112274111 7290.543185965979319 1.197714973068909 7292.973772103154261 1.203655909719320 7295.405168570748174 1.193059325076919 7297.837375638931007 1.174010063676406 7300.270393577940922 1.159442548076134 7302.704222658113395 1.155800877655145 7305.138863149873032 1.157077311315209 7307.574315323729934 1.159604547027284 7310.010579450302430 1.162735563319862 7312.447655800280700 1.165362758551900 7314.885544644450420 1.159151270885336 7317.324246253680030 1.155160992372722 7319.763760898952569 1.154728955426393 7322.204088851317465 1.149984712093023 7324.645230381921465 1.151425025555735 7327.087185761995897 1.162700115442411 7329.529955262883050 1.188460869870057 7331.973539155996150 1.164351919736416 7334.417937712842104 1.146614972131121 7336.863151205016038 1.135888289276410 7339.309179904220400 1.128538062963312 7341.756024082231306 1.143857121230424 7344.203684010917641 1.153226656327561 7346.652159962236510 1.149248068577162 7349.101452208255068 1.145598604159580 7351.551561021108682 1.144321903857181 7354.002486673032763 1.137308437135976 7356.454229436343667 1.115829083396353 7358.906789583473255 1.109727696084775 7361.360167386920693 1.103479782695711 7363.814363119282461 1.094898405061247 7366.269377053240532 1.080032817370362 7368.725209461588747 1.088544073179316 7371.181860617190978 1.092124979207378 7373.639330793006593 1.085745338567429 7376.097620262081364 1.102302346961974 7378.556729297573838 1.093776715536916 7381.016658172709867 1.077876435824099 7383.477407160816256 1.067528364272941 7385.938976535308029 1.053669564324109 7388.401366569686616 1.050364760629461 7390.864577537565310 1.049035158785666 7393.328609712627440 1.030971973488939 7395.793463368653647 1.016800335598867 7398.259138779509158 1.019773722712763 7400.725636219171975 1.036998635192851 7403.192955961691951 1.040696861549630 7405.661098281214436 1.025646601212603 7408.130063451970273 1.007559134207024 7410.599851748303990 0.994031961835341 7413.070463444628331 0.999534757866890 7415.541898815456079 1.005893667767678 7418.014158135384605 1.000324406007177 7420.487241679123144 0.967678985473500 7422.961149721451875 0.978066236674096 7425.435882537249199 0.981966132460053 7427.911440401478103 0.979776240992016 7430.387823589216168 0.977336452256178 7432.865032375608280 0.972543345529036 7435.343067035900276 0.973347937232699 7437.821927845422579 0.977412036579253 7440.301615079618387 0.966496823727955 7442.782129014001839 0.958451574043098 7445.263469924184392 0.954591933106742 7447.745638085863902 0.954826861441590 7450.228633774851914 0.950079350248252 7452.712457267029095 0.955724807453124 7455.197108838375243 0.962438573583247 7457.682588764963839 0.963970205026971 7460.168897322952034 0.958687832075922 7462.656034788609759 0.948652021490386 7465.144001438279702 0.937769581471395 7467.632797548400958 0.930632031911991 7470.122423395500846 0.923053215193825 7472.612879256217639 0.917515237110950 7475.104165407263281 0.914078583130385 7477.596282125445214 0.912803658273556 7480.089229687659099 0.909784196076948 7482.583008370913376 0.915693949345866 7485.077618452287425 0.927215308174899 7487.573060208959760 0.932180429709872 7490.069333918195298 0.931140818882345 7492.566439857371734 0.927782687898983 7495.064378303937701 0.921145743362745 7497.563149535442790 0.904351009614087 7500.062753829520261 0.911610775012208 7502.563191463918884 0.923844956458786 7505.064462716457456 0.935066498729681 7507.566567865054822 0.941465714724446 7510.069507187716226 0.935555408767677 7512.573280962559693 0.925864685214865 7515.077889467776004 0.917956102688075 7517.583332981654166 0.930425338770379 7520.089611782569591 0.932804290531266 7522.596726149012284 0.941231236861120 7525.104676359544101 0.960390082894698 7527.613462692825124 0.962376774267323 7530.123085427601836 0.956404906717854 7532.633544842737138 0.949123630197163 7535.144841217163048 0.944607259845568 7537.656974829912542 0.949765550804672 7540.169945960111363 0.937648940059133 7542.683754886969837 0.898808654280829 7545.198401889818342 0.826517750915185 7547.713887248050924 0.716619757882929 7550.230211241168945 0.578325292355436 7552.747374148753806 0.448934076641065 7555.265376250507870 0.350305963694558 7557.784217826199892 0.285683577152692 7560.303899155701401 0.267745126170617 7562.824420518969418 0.286277627749881 7565.345782196078289 0.335964090829427 7567.867984467170572 0.407916695316895 7570.391027612490689 0.493626616936627 7572.914911912369462 0.559122612509686 7575.439637647254131 0.583827574228671 7577.965205097661965 0.539917484999993 7580.491614544212098 0.502215876722027 7583.018866267607336 0.476798501175747 7585.546960548670540 0.468125827008291 7588.075897668291873 0.486003974117379 7590.605677907466088 0.510782179369641 7593.136301547270705 0.543100525315848 7595.667768868903295 0.577339445351373 7598.200080153627823 0.589067916557118 7600.733235682813756 0.623840338470878 7603.267235737915144 0.664474480144985 7605.802080600502450 0.705204541637059 7608.337770552217989 0.740901405324247 7610.874305874805032 0.775304035771042 7613.411686850092337 0.804085183926171 7615.949913760026902 0.828582625323459 7618.488986886626662 0.852502649096894 7621.028906512010508 0.865141346792960 7623.569672918391916 0.883100494429996 7626.111286388069857 0.902632826510678 7628.653747203462444 0.917745904716358 7631.197055647056914 0.939861247991396 7633.741212001443273 0.946546377165324 7636.286216549297933 0.953596186953418 7638.832069573414628 0.970854363684463 7641.378771356657126 0.967240374441944 7643.926322181993783 0.974072750568030 7646.474722332477540 0.978174460441381 7649.023972091278665 0.979078092707073 7651.574071741641092 1.001896929485252 7654.125021566907890 1.013674020394560 7656.676821850510350 1.018024134185554 7659.229472875997089 1.018798969008188 7661.782974926989482 1.022869727825791 7664.337328287208948 1.037939945813846 7666.892533240465127 1.029685551451640 7669.448590070684986 1.012672984086386 7672.005499061867340 1.006475619275257 7674.563260498112868 1.016220510814765 7677.121874663609560 1.032012002032451 7679.681341842663642 1.041964125800531 7682.241662319653187 1.039353768662989 7684.802836379056316 1.022886317917042 7687.364864305442097 1.013946826695173 7689.927746383495105 1.004453109510887 7692.491482897972674 0.995951258482774 7695.056074133733091 0.994875191121322 7697.621520375732871 1.007578727362103 7700.187821909012200 1.014555925964643 7702.754979018732229 1.018314065769919 7705.322991990124137 1.020044697305236 7707.891861108523699 1.005206211457132 7710.461586659352179 1.001922433522073 7713.032168928149986 1.010115045847944 7715.603608200530289 1.019968237622953 7718.175904762208120 1.008610336769187 7720.749058898986732 1.024099793188851 7723.323070896788522 1.024216841213688 7725.897941041605009 1.015946329711729 7728.473669619534121 1.008370845301314 7731.050256916761100 1.002796568162832 7733.627703219586692 1.010782994338073 7736.206008814388042 1.025126652468956 7738.785173987642338 1.038753114691783 7741.365199025915899 1.041913971667138 7743.946084215894189 1.034860854549515 7746.527829844334519 1.030143069694808 7749.110436198096977 1.031727677950300 7751.693903564130778 1.038719986378783 7754.278232229502464 1.035847012994177 7756.863422481353155 1.023266474947431 7759.449474606924923 1.026616145447844 7762.036388893548974 1.047235281617837 7764.624165628676565 1.077212213287757 7767.212805099831712 1.068743319629422 7769.802307594638478 1.078605979412980 7772.392673400813692 1.092414296442982 7774.983902806190599 1.098095753377848 7777.575996098676114 1.082280950217716 7780.168953566279924 1.088965282073334 7782.762775497109033 1.089880734470400 7785.357462179357753 1.084748353274595 7787.953013901339546 1.079026182867947 7790.549430951443355 1.089709873358738 7793.146713618157264 1.085368446268512 7795.744862190063031 1.097270438991031 7798.343876955857013 1.110652962459387 7800.943758204312871 1.117327688814590 7803.544506224305223 1.149611563672093 7806.146121304798726 1.138363885873896 7808.748603734876269 1.120187163836302 7811.351953803696233 1.104040051610605 7813.956171800519769 1.094906229083389 7816.561258014694431 1.102833397032750 7819.167212735692374 1.122966089976131 7821.774036253054874 1.133809700146748 7824.381728856430527 1.138839882915516 7826.990290835552514 1.146509323685897 7829.599722480279524 1.156546099763200 7832.210024080538460 1.141676784482753 7834.821195926364453 1.132256772592915 7837.433238307878128 1.138012262711687 7840.046151515323800 1.159577829241107 7842.659935839016725 1.180115905268997 7845.274591569376753 1.183158034170414 7847.890118996913770 1.167270548356931 7850.506518412257719 1.140196593040129 7853.123790106112210 1.118285747677859 7855.741934369284536 1.140359968308970 7858.360951492680215 1.166393571152718 7860.980841767292077 1.182503526892592 7863.601605484236643 1.185220917171276 7866.223242934700465 1.175926742144204 7868.845754409977417 1.162478235491005 7871.469140201449591 1.156608765443344 7874.093400600620043 1.161712869439274 7876.718535899064591 1.168745256612471 7879.344546388466370 1.172625477590058 7881.971432360595827 1.174094326509101 7884.599194107344374 1.186937284919871 7887.227831920678000 1.200642709389295 7889.857346092668195 1.213084843364202 7892.487736915474670 1.218572685312988 7895.119004681379010 1.213304580607275 7897.751149682737378 1.213715222256568 7900.384172212007797 1.214118840303212 7903.018072561742883 1.203706613048512 7905.652851024613483 1.188959304567027 7908.288507893364113 1.180323624209215 7910.925043460845700 1.187837179109614 7913.562458019999212 1.167780551439823 7916.200751863886580 1.165022164882297 7918.839925285643403 1.158272435717298 7921.479978578511691 1.154249670319516 7924.120912035820766 1.168063899364930 7926.762725951026368 1.178166910853257 7929.405420617653363 1.158321715009522 7932.048996329335750 1.160874056349700 7934.693453379795756 1.171377102037672 7937.338792062877474 1.173652569536148 7939.985012672499579 1.161323921852543 7942.632115502687157 1.134510280544840 7945.280100847562608 1.136090369791041 7947.928969001338373 1.150989621300911 7950.578720258348767 1.160457350953195 7953.229354913002680 1.151059079497128 7955.880873259816326 1.123141475855772 7958.533275593393228 1.113097484289212 7961.186562208460600 1.123735917400465 7963.840733399822057 1.149311306825032 7966.495789462383982 1.158956353821794 7969.151730691144621 1.139080805507058 7971.808557381225000 1.120683284777579 7974.466269827819815 1.120885525896807 7977.124868326231081 1.110338194241374 7979.784353171849943 1.098835279424155 7982.444724660190332 1.098130493809805 7985.105983086842571 1.109174024415180 7987.768128747500668 1.116691986934197 7990.431161937951401 1.117737218505007 7993.095082954102509 1.091432205151408 7995.759892091938127 1.064266573685394 7998.425589647546985 1.041498406749975 8001.092175917111490 1.030279779879341 8003.759651196933191 1.038134596080502 8006.428015783391857 1.037475227694479 8009.097269972970935 1.058119975548554 8011.767414062247553 1.063203117283967 8014.438448347918893 1.054638797375115 8017.110373126760351 1.034583767449185 8019.783188695651006 1.008927540232423 8022.456895351562707 0.995474853568336 8025.131493391590084 0.973298362850470 8027.806983112903254 0.971278767626754 8030.483364812778746 0.953659618796519 8033.160638788591314 0.934374516036779 8035.838805337808481 0.923967644364173 8038.517864758019641 0.916016592743391 8041.197817346891497 0.907490889170238 8043.878663402196253 0.899067060125866 8046.560403221796150 0.858128721605562 8049.243037103679853 0.839522439295652 8051.926565345908784 0.821800558367306 8054.610988246654415 0.791295758138817 8057.296306104175528 0.773322391304621 8059.982519216859146 0.763058704476515 8062.669627883163230 0.746515041803961 8065.357632401657611 0.718235475260652 8068.046533070999430 0.695663905331547 8070.736330189972250 0.680070053947805 8073.427024057435119 0.662396978254871 8076.118614972353498 0.643878571132354 8078.811103233784706 0.664080743257837 8081.504489140910664 0.656240498504789 8084.198772992987870 0.623536927508585 8086.893955089381052 0.595427502070037 8089.590035729547708 0.589691922879615 8092.287015213068116 0.598581728072252 8094.984893839598044 0.597748127943679 8097.683671908903307 0.569995218353474 8100.383349720837941 0.538412712591930 8103.083927575384223 0.507577854230898 8105.785405772597187 0.480507947230818 8108.487784612641008 0.461363439386694 8111.191064395780813 0.457384229078131 8113.895245422372682 0.465344304531586 8116.600327992896382 0.470138683199094 8119.306312407909900 0.458222550650209 8122.013198968077631 0.453443119119293 8124.720987974155832 0.431563023876500 8127.429679727028088 0.400798686629288 8130.139274527649832 0.394190323646216 8132.849772677089277 0.396837856724075 8135.561174476502856 0.389711353756461 8138.273480227175241 0.379576511191979 8140.986690230463864 0.383495499795398 8143.700804787838933 0.365671874125401 8146.415824200857969 0.362108172094586 8149.131748771207640 0.370190577993676 8151.848578800649193 0.392020123803619 8154.566314591052105 0.384491302516867 8157.284956444379532 0.366234734377425 8160.004504662718318 0.340024404788638 8162.724959548232619 0.310532258047607 8165.446321403195725 0.319797212304666 8168.168590529971880 0.312848458199378 8170.891767231052654 0.302428587463253 8173.615851809005107 0.284703815677275 8176.340844566505439 0.280101835872159 8179.066745806320796 0.273195735982855 8181.793555831347476 0.289267156726908 8184.521274944555444 0.308340555898039 8187.249903449024714 0.304976021110855 8189.979441647928070 0.296984498071532 8192.709889844563804 0.300855975433705 8195.441248342305698 0.303613923828755 8198.173517444640311 0.282005426398654 8200.906697455151516 0.301092200114010 8203.640788677519595 0.290127197549835 8206.375791415544882 0.294699702110124 8209.111705973113203 0.292298195509015 8211.848532654212249 0.292613115350110 8214.586271762926117 0.299912011766857 8217.324923603464413 0.294498797993265 8220.064488480114960 0.286067088837718 8222.804966697271084 0.299791213188400 8225.546358559424334 0.300092376106454 8228.288664371189952 0.290839953959324 8231.031884437259578 0.267254099625315 8233.776019062435807 0.255475522582214 8236.521068551614007 0.255297246257965 8239.267033209818692 0.268619970642236 8242.013913342145315 0.283928293977434 8244.761709253803929 0.286829183791483 8247.510421250097352 0.292079767464460 8250.260049636453914 0.309190900337899 8253.010594718380162 0.311537119419046 8255.762056801491781 0.327704594274463 8258.514436191500863 0.340454958979343 8261.267733194239554 0.317399009025237 8264.021948115623672 0.320040661489099 8266.777081261678177 0.348231160769530 8269.533132938520794 0.359998299418486 8272.290103452392941 0.383848516249681 8275.047993109619711 0.401963075620816 8277.806802216631695 0.407996338954806 8280.566531079954075 0.386333191050025 8283.327180006242997 0.364279057671046 8286.088749302225551 0.372242678290174 8288.851239274745240 0.392378737418285 8291.614650230745610 0.424037343068890 8294.378982477261161 0.456697685897833 8297.144236321459175 0.437960173750605 8299.910412070579696 0.414034338291319 8302.677510031977363 0.440878600207084 8305.445530513099584 0.464391703790845 8308.214473821519277 0.422558134853138 8310.984340264887578 0.411833495742027 8313.755130150970217 0.433772008280746 8316.526843787623875 0.445257385887178 8319.299481482830743 0.429248868542307 8322.073043544656684 0.445765382280312 8324.847530281273066 0.453764823864301 8327.622942000949479 0.455404968852717 8330.399279012079205 0.487308403962107 8333.176541623139201 0.521506788975567 8335.954730142711924 0.532661946383712 8338.733844879476237 0.551401242991008 8341.513886142240153 0.574733770833073 8344.294854239889901 0.563353491148701 8347.076749481420848 0.574976093899072 8349.859572175922949 0.618329963929967 8352.643322632618947 0.596139732918832 8355.428001160802523 0.556713266615147 8358.213608069883776 0.574446939542013 8361.000143669365571 0.599531238257449 8363.787608268879922 0.677445256055228 8366.576002178138879 0.610879927843883 8369.365325706961812 0.649493240072691 8372.155579165273593 0.684470441068238 8374.946762863093682 0.753807467592731 8377.738877110572503 0.737792607559061 8380.531922217933243 0.750531460124352 8383.325898495517322 0.738334556454026 8386.120806253757110 0.729525877713907 8388.916645803214124 0.739067793092557 8391.713417454529917 0.712834873821857 8394.511121518457003 0.760498281138134 8397.309758305840660 0.769325571010094 8400.109328127660774 0.774369289776817 8402.909831294968171 0.791418006837105 8405.711268118933731 0.813142584714677 8408.513638910817463 0.842426931362994 8411.316943982012162 0.912201161166825 8414.121183643987024 0.970417445808253 8416.926358208324018 1.009563430893819 8419.732467986699703 0.998518251119521 8422.539513290925242 1.007626675857772 8425.347494432880922 1.037903942159724 8428.156411724567079 1.090914756397184 8430.966265478076821 1.168113365055489 8433.777056005634222 1.203200281837015 8436.588783619539754 1.213787007821438 8439.401448632206666 1.205904745371924 8442.215051356146432 1.167600841749399 8445.029592103997857 1.181221569783015 8447.845071188479778 1.260226402407479 8450.661488922421995 1.319930210594000 8453.478845618752530 1.334822564434035 8456.297141590526735 1.366556836838619 8459.116377150881817 1.379304251156981 8461.936552613065942 1.423857527586289 8464.757668290430956 1.550776625362481 8467.579724496425115 1.612709719099907 8470.402721544627639 1.606181973043201 8473.226659748697784 1.613820408448816 8476.051539422405767 1.631821723459911 8478.877360879618209 1.683831032546490 8481.704124434332698 1.717140400895092 8484.531830400623221 1.689083506592356 8487.360479092683818 1.661038198928511 8490.190070824797658 1.660382583938295 8493.020605911378880 1.802143012695365 8495.852084666927112 1.932563986623660 8498.684507406049306 1.943229868339700 8501.517874443448818 1.912546244052059 8504.352186093963610 1.921066873561476 8507.187442672508041 2.098975312859736 8510.023644494109249 2.027523096916531 8512.860791873894414 1.997080527637590 8515.698885127118047 2.130106658112067 8518.537924569116512 2.319765497240454 8521.377910515335316 2.261532988251955 8524.218843281323643 2.212329402697728 8527.060723182756192 2.198087518215467 8529.903550535389513 2.254472415196193 8532.747325655091117 2.291656430479780 8535.592048857830378 2.318220633856643 8538.437720459703996 2.401939031476952 8541.284340776886893 2.245876090936891 8544.131910125674040 2.075571711563321 8546.980428822458634 2.143692243355438 8549.829897183735739 2.314301789054341 8552.680315526129561 2.602184052175092 8555.531684166346167 2.718527067815510 8558.384003421202578 2.811846717893454 8561.237273607614043 2.681011000912444 8564.091495042630413 2.556706174437363 8566.946668043376121 2.596705832412004 8569.802792927095652 2.697716170878824 8572.659870011124440 2.808828404630882 8575.517899612932524 2.796993446091078 8578.376882050073618 2.675048455739720 8581.236817640210575 2.716935982862521 8584.097706701104471 2.719451139100836 8586.959549550649172 2.825196167274628 8589.822346506820395 2.678364690420284 8592.686097887704818 2.903590074710985 8595.550804011490982 2.897669008731626 8598.416465196492936 2.545548025389389 8601.283081761112044 2.568134923839315 8604.150654023860625 2.503869636814747 8607.019182303347407 2.375032540950309 8609.888666918317540 2.737257581360844 8612.759108187592574 2.900905440841400 8615.630506430110472 2.865945100757333 8618.502861964907424 2.592777911574776 8621.376175111150587 2.336057285738005 8624.250446188088972 2.351064989873255 8627.125675515086186 2.559173776615613 8630.001863411602244 2.778816625722738 8632.879010197231764 2.682274839663143 8635.757116191649402 2.860161385414016 8638.636181714644408 2.851938988107496 8641.516207086113354 2.871836666428571 8644.397192626049218 2.914817952047253 8647.279138654581402 2.744485985541950 8650.162045491913887 2.556221549456723 8653.045913458372524 2.729593818943537 8655.930742874375937 2.511252369123560