SN 1972E Ia in NGC 5253


Geoffrey Chaucer with an astrolabe.

OBJ:  SN 1972E Ia in NGC 5253 (S? according to Leda) which in
         Leda is
         Leda:  NGC 5253.
DISCOVERY:  1972may? UT by Kowal (1972).
MAX:  1972may11.5 (JD 2441449) in B according to a private communication long ago from Bruno Leibundgut.
           Since the observations began post-Bmax, this is somewhat uncertain.
           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 132 of the year recalling that 1972 was
           a leap year.
SUPERNOVA of the YEAR:  M = 5.
           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 core normal SN Ia I guess.


         Spectrum               Date                  Phase relative to Bmax    Observed Wavelength Range
         kirshner1973b          1972may15.5             4.                      3247.06--10644.78
         kirshner1973b          1972may16.5             5.                      3290.231--10659.75741
         kirshner1973b          1972may17.5             6.                      3282.95--10616.63
         kirshner1973b          1972may20.5             9.                      3281.47--10686.21
         kirshner1973b          1972may22.5            11.                      3402.255--9994.62
         kirshner1973b          1972may23.5            12.                      3423.316--10011.3086

REF:
        CfA List of Supernovae.

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

       \citet{kirshner1973a} They
       give early photometry and narrow band photometry that approximates spectra.

       \citet{kirshner1973b} They
       give spectra from day +4 to day +235 relative to B max.

       \citet{kirshner1975} They
       give spectra from day +235 to day +714 relative to B max.


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 409 +/- 2 km/s from
         Leda:  NGC 5253
      not dereddened (Galactic foreground 0.24/4=.06 reddening from
         Leda:  NGC 5253
        but derived from
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived bolometric maximum is ??? (see above).
OBS: One of
     {kirshner1973b}
     {kirshner1975}
     But I seem to have scarfed all these SN 1972E spectra from Mark Philips's
     anonymous ftp pub site when I was just poking around looking for goodies.
     I think Mark must have just scanned them from {kirshner1973b} and {kirshner1975}.
     They arn't at the
     CfA Supernova Archive,
     and so Bob Kirshner may have lost track of his versions.
     That was 1997sep07 or so when I was in Oak Ridge, Tennessee.


Date: 1972may23.5 with 1972may11.5 (JD 2441449) for B maximum gives:
      day = 2441461 - 2441449 = 12


&specnamelist aname='sn1972e Ia 1972_05_23' ebv=.06 ! epoch=12. ! This parameter needs to updated for the particular spectrum. iformat=1 ! Not deredshifted as far as I know, but that's not very far. ismooth=0 itick=2 itickln=4 t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. v_helio=409. ymin2=.5d-13 ymax2=1.6d-12 ymin3=.35 ymax3=2.4 wlammin1=3423.316 wlammax1=10011.3086 wlammin2=3423.316 wlammax2=10011.3086 wlammin3=3600. ! As far to the blue as I trust. wlammax3=9000. ! As far to the red as I trust. /
./figure/sn1972e_1972_05_23.gif Postscript plot of the spectrum.
./figure/sn1972e_1972_05_23.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere: BITPIX = 8 / 8-bit ASCII characters NAXIS = 1 / Number of Image Dimensions NAXIS1 = 500 / Length of axis ORIGIN = 'NOAO-IRAF: WTEXTIMAGE' / IRAF-MAX= 0. / Max image pixel (out of date) IRAF-MIN= 0. / Min image pixel (out of date) IRAF-B/P= 32 / Image bits per pixel IRAFTYPE= 'REAL FLOATING ' / Image datatype OBJECT = ' ' / FILENAME= 'SN72E.461.IMH ' / IRAF filename FORMAT = '5G14.7 ' / Text line format W0 = 3423.316 WPC = 13.20239 CRVAL1 = 3423.316 CDELT1 = 13.20239 $END OBJ: Normal SN Ia 1972E in NGC 5253. DATE: JD2441461. Bmax by Bruno is JD2441449. Therefore assuming an 18 d rise time the explosion was on JD2441431. Thus, this is day 30. OBS: Kirshner et al. REP: F_lambda (cgs-A) vs. lambda (ang) COR: not deredshifted??? (heliocentric velocity 1804 from Asiago), not dereddened (foregroud E(B-V)=???), photometrically corrected ???? (Kirshner asserts that these spectra have an absolute energy distribution), not smoothed??? REF: \refpaper Kirshner, R.~P., Oke, J.~B., Penston, M.~V., \&~Searle, L. 1973, ApJ, 185, 303. % a study of supernova spectra, both I and II, with % emphasis on Type~Ia SN~1972E. The full SN~1972E % spectrum set with a claim (p. 307) for absolute % flux calibration. COMMNET: I scarfed up the 72E spectra from Mark Phillips anonymous ftp pub site when I was just poking around looking for goodies. The IRFLUX style for specmon.f is 12. DAY: 30. END: 3419.786267885103825 0.687171596152629 3420.926386650300628 0.691895125557235 3422.066885518435811 0.696620229734102 3423.207764616228815 0.701346909208231 3424.349024070443647 0.706075164504807 3425.490664007883424 0.710804996149178 3426.632684555403557 0.715536404666907 3427.775085839892654 0.720269390583696 3428.917867988283433 0.725003954425429 3430.061031127552269 0.729740096718171 3431.204575384713280 0.734477817988143 3432.348500886834245 0.738784328910113 3433.492807761014319 0.742558099610005 3434.637496134398589 0.746333128443140 3435.782566134171702 0.750109415828956 3436.928017887570149 0.753886962187062 3438.073851521862707 0.757665767937174 3439.220067164364991 0.761445833499161 3440.366664942430361 0.765227159293017 3441.513644983465383 0.769009745738913 3442.661007414908454 0.772793593257122 3443.808752364245265 0.776578702268077 3444.956879958999252 0.780365073192331 3446.105390326746601 0.784614723809312 3447.254283595096240 0.788893036750157 3448.403559891703480 0.793172776033027 3449.553219344262288 0.797453942133436 3450.703262080518471 0.801736535527092 3451.853688228251940 0.806020556689828 3453.004497915288084 0.810306006097647 3454.155691269490035 0.814592884226694 3455.307268418776403 0.818881191553318 3456.459229491095812 0.823170928553983 3457.611574614444180 0.827462095705325 3458.764303916856989 0.831593315706334 3459.917417526421559 0.835554502261672 3461.070915571257956 0.839517009432617 3462.224798179533082 0.843480837659450 3463.379065479456131 0.847445987382597 3464.533717599275406 0.851412459042616 3465.688754667292415 0.855380253080251 3466.844176811841407 0.859349369936356 3467.999984161302564 0.863319810051944 3469.156176844095171 0.867291573868163 3470.312754988692632 0.871264661826345 3471.469718723599726 0.875404907383553 3472.627068177367619 0.881776846035334 3473.784803478587946 0.888150909020685 3474.942924755904642 0.894527097047871 3476.101432137993925 0.900905410825335 3477.260325753579764 0.907285851061785 3478.419605731423871 0.913668418466135 3479.579272200342530 0.920053113747600 3480.739325289183398 0.926439937615567 3481.899765126842340 0.932828890779690 3483.060591842252506 0.939219973949826 3484.221805564402530 0.945613187836140 3485.383406422312419 0.949883854569556 3486.545394545048566 0.953231036984058 3487.707770061717383 0.956579335311995 3488.870533101479396 0.959928749925424 3490.033683793526507 0.963279281196490 3491.197222267097004 0.966630929497473 3492.361148651470103 0.969983695200769 3493.525463075978223 0.973337578678930 3494.690165669986072 0.976692580304598 3495.855256562904287 0.980048700450549 3497.020735884184887 0.983405939489679 3498.186603763331732 0.989537273135704 3499.352860329882787 1.000449727571630 3500.519505713421950 1.011365820098684 3501.686540043576315 1.022285551929762 3502.853963450012998 1.033208924278137 3504.021776062453227 1.044135938357586 3505.189978010649611 1.055066595382183 3506.358569424402504 1.066000896566446 3507.527550433552278 1.076938843125268 3508.696921167992514 1.087880436274039 3509.866681757649985 1.098825677228462 3511.036832332497852 1.108941817140382 3512.207373022549291 1.109524642254589 3513.378303957871594 1.110107661676219 3514.549625268564341 1.110690875470050 3515.721337084775314 1.111274283700883 3516.893439536689584 1.111857886433540 3518.065932754549522 1.112441683732868 3519.238816868627509 1.113025675663734 3520.412092009244589 1.113609862291024 3521.585758306760454 1.114194243679645 3522.759815891590279 1.114778819894535 3523.934264894180615 1.115363591000643 3525.109105445026671 1.116518069637304 3526.284337674662311 1.117784897716158 3527.459961713675511 1.119052148141429 3528.635977692688357 1.120319821053920 3529.812385742369315 1.121587916594482 3530.989185993425963 1.122856434904012 3532.166378576622265 1.124125376123463 3533.343963622752653 1.125394740393824 3534.521941262660675 1.126664527856138 3535.700311627228530 1.127934738651486 3536.879074847393895 1.129205372921012 3538.058231054127191 1.130503062844380 3539.237780378445223 1.131816620610730 3540.417722951408905 1.133130616302652 3541.598058904119625 1.134445050066142 3542.778788367732886 1.135759922047256 3543.959911473437842 1.137075232392087 3545.141428352470029 1.138390981246781 3546.323339136104551 1.139707168757526 3547.505643955673804 1.141023795070577 3548.688342942540203 1.142340860332219 3549.871436228114817 1.143658364688793 3551.054923943849190 1.145107700032102 3552.238806221248979 1.146704409473936 3553.423083191853038 1.148301651240967 3554.607754987247972 1.149899425510665 3555.792821739060400 1.151497732460558 3556.978283578971059 1.153096572268242 3558.164140638694789 1.154695945111364 3559.350393049993272 1.156295851167631 3560.537040944668661 1.157896290614805 3561.724084454578588 1.159497263630723 3562.911523711612062 1.161098770393265 3564.099358847707663 1.162705604176804 3565.287589994843074 1.164321774288050 3566.476217285051462 1.165938483212469 3567.665240850398732 1.167555731129689 3568.854660822998994 1.169173518219406 3570.044477335005467 1.170791844661368 3571.234690518628668 1.172410710635400 3572.425300506109124 1.174030116321369 3573.616307429738299 1.175650061899211 3574.807711421849490 1.177270547548919 3575.999512614817831 1.178891573450543 3577.191711141072119 1.180508311954545 3578.384307133076163 1.182112804195101 3579.577300723340159 1.183717831355551 3580.770692044415682 1.185323393614229 3581.964481228908426 1.186929491149538 3583.158668409458187 1.188536124139930 3584.353253718752967 1.190143292763920 3585.548237289520330 1.191750997200077 3586.743619254543773 1.193359237627044 3587.939399746639538 1.194968014223510 3589.135578898672065 1.196577327168228 3590.332156843546727 1.193654593291186 3591.529133714224372 1.176087797118305 3592.726509643698137 1.158515144370663 3593.924284765009816 1.140936633095740 3595.122459211242131 1.123352261340419 3596.321033115532828 1.105762027150774 3597.520006611053304 1.088165928572387 3598.719379831022707 1.070563963650136 3599.919152908700653 1.052956130428308 3601.119325977403150 1.035342426950361 3602.319899170478948 1.017722851259273 3603.520872621324997 1.004851834845143 3604.722246463379179 1.007107052635938 3605.924020830134850 1.009363022291307 3607.126195855118567 1.011619744061907 3608.328771671905997 1.013877218198485 3609.531748414111917 1.016135444951862 3610.735126215408854 1.018394424572970 3611.938905209501172 1.020654157312797 3613.143085530141889 1.022914643422425 3614.347667311129953 1.025175883153021 3615.552650686302513 1.027437876755824 3616.758035789554924 1.030701848671475 3617.963822754815283 1.036516309360971 3619.170011716059889 1.042332708527092 3620.376602807305062 1.048151046816083 3621.583596162625327 1.053971324874468 3622.790991916126586 1.059793543348924 3623.998790201963857 1.065617702886363 3625.206991154333082 1.071443804133896 3626.415594907487048 1.077271847738906 3627.624601595710374 1.083101834348932 3628.834011353338155 1.088933764611755 3630.043824314744597 1.094699474772761 3631.254040614361202 1.100348389775470 3632.464660386653122 1.105999188063711 3633.675683766132806 1.111651870265348 3634.887110887355448 1.117306437008442 3636.098941884930809 1.122962888921311 3637.311176893503671 1.128621226632433 3638.523816047766559 1.134281450770513 3639.736859482453838 1.139943561964448 3640.950307332354896 1.145607560843394 3642.164159732293683 1.151273448036666 3643.378416817143261 1.157315249699730 3644.593078721816710 1.163752912456455 3645.808145581283952 1.170192721458472 3647.023617530549473 1.176634677421299 3648.239494704664594 1.183078781060704 3649.455777238723840 1.189525033092683 3650.672465267876760 1.195973434233523 3651.889558927307462 1.202423985199694 3653.107058352248714 1.208876686707926 3654.324963677977394 1.215331539475181 3655.543275039813579 1.221788544218650 3656.761992573132375 1.229479538477393 3657.981116413342988 1.237840056957255 3659.200646695903288 1.246203362741133 3660.420583556313431 1.254569456758260 3661.640927130129512 1.262938339938256 3662.861677552940819 1.271310013210964 3664.082834960387117 1.279684477506578 3665.304399488148192 1.288061733755562 3666.526371271961125 1.296441782888777 3667.748750447597104 1.304824625837314 3668.971537150875520 1.313210263532597 3670.194731517658511 1.310058836434465 3671.418333683863239 1.304860758233517 3672.642343785441881 1.299660947051022 3673.866761958396637 1.294459402309220 3675.091588338768815 1.289256123430181 3676.316823062658386 1.284051109835731 3677.542466266198971 1.278844360947548 3678.768518085572850 1.273635876187107 3679.994978657004140 1.268425654975704 3681.221848116774254 1.263213696734390 3682.449126601197804 1.257522201665580 3683.676814246639424 1.246928136470980 3684.904911189504674 1.236330539332724 3686.133417566256412 1.225729409073237 3687.362333513391604 1.215124744514647 3688.591659167456783 1.204516544478655 3689.821394665043499 1.193904807786573 3691.051540142784688 1.183289533259359 3692.282095737371947 1.172670719717460 3693.513061585528703 1.162048365981052 3694.744437824029774 1.151422470869866 3695.976224589689991 1.140687131530217 3697.208422019383306 1.129765294428030 3698.441030250016411 1.118839816106639 3699.674049418545110 1.107910695352105 3700.907479661968409 1.096977930950111 3702.141321117341249 1.086041521685842 3703.375573921754039 1.075101466344168 3704.610238212344939 1.064157763709537 3705.845314126296216 1.053210412566005 3707.080801800845165 1.042259411697142 3708.316701373265005 1.031304759886197 3709.553012980877611 1.019772163756801 3710.789736761047152 1.007968828225870 3712.026872851195094 0.996161557593911 3713.264421388777009 0.984350350549044 3714.502382511298947 0.972535205778907 3715.740756356307429 0.960716121970750 3716.979543061407639 0.948893097811264 3718.218742764238868 0.937066131986816 3719.458355602489519 0.925235223183302 3720.698381713891195 0.913400370086207 3721.938821236231433 0.901582355354044 3723.179674307333698 0.890305857448672 3724.420941065070110 0.879025600084125 3725.662621647355536 0.867741582007074 3726.904716192162141 0.856453801963669 3728.147224837496651 0.845162258699748 3729.390147721415815 0.833866950960692 3730.633484982021400 0.822567877491474 3731.877236757458832 0.811265037036670 3733.121403185930376 0.799958428340340 3734.365984405672407 0.788648050146233 3735.610980554972684 0.778396093084064 3736.856391772159441 0.769558692496282 3738.102218195619571 0.760718345617256 3739.348459963774076 0.751875051464755 3740.595117215095343 0.743028809056183 3741.842190088095776 0.734179617408659 3743.089678721347354 0.725327475538882 3744.337583253456160 0.716472382463307 3745.585903823078297 0.707614337198034 3746.834640568911254 0.698753338758870 3748.083793629712545 0.689889386161195 3749.333363144272425 0.683864859477408 3750.583349251432082 0.678311525382226 3751.833752090074995 0.672756339867144 3753.084571799142395 0.667199302314884 3754.335808517610531 0.661640412108014 3755.587462384505670 0.656079668628881 3756.839533538896831 0.650517071259640 3758.092022119910325 0.644952619382193 3759.344928266707939 0.639386312378282 3760.598252118501932 0.633818149629427 3761.851993814545494 0.629211333881051 3763.106153494152295 0.626618454363467 3764.360731296668291 0.624024710408648 3765.615727361492191 0.621430101728397 3766.871141828063173 0.618834628034433 3768.126974835879992 0.616238289038354 3769.383226524475504 0.613641084451686 3770.639897033433954 0.611043013985850 3771.896986502384152 0.608444077352173 3773.154495070999928 0.605844274261891 3774.412422879011956 0.603243604426121 3775.670770066185469 0.602844182275925 3776.929536772337542 0.602907413931906 3778.188723137327088 0.602970666668619 3779.448329301071681 0.603033940493093 3780.708355403523001 0.603097235412356 3781.968801584684570 0.603160551433443 3783.229667984601747 0.603223888563388 3784.490954743379007 0.603287246809229 3785.752662001154931 0.603350626178006 3787.014789898119034 0.603414026676760 3788.277338574504938 0.604580716092975 3789.540308170602202 0.607659846407160 3790.803698826738128 0.610740003269199 3792.067510683288674 0.613821187021330 3793.331743880673912 0.616903398005899 3794.596398559371664 0.619986636565391 3795.861474859895679 0.623070903042381 3797.126972922809273 0.626156197779563 3798.392892888720326 0.629242521119739 3799.659234898293562 0.632329873405852 3800.925999092230086 0.635418254980933 3802.193185611281933 0.640889230860042 3803.460794596243431 0.646509132788716 3804.728826187967115 0.652130908330298 3805.997280527342355 0.657754558109418 3807.266157755308086 0.663380082750923 3808.535458012850995 0.669007482879873 3809.805181441000514 0.674636759121518 3811.075328180844281 0.680267912101365 3812.345898373506316 0.685900942445081 3813.616892160161115 0.691535850778561 3814.888309682026375 0.700625743801415 3816.160151080378000 0.712500872147336 3817.432416496528276 0.724379959529177 3818.705106071839509 0.736263007266831 3819.978219947718571 0.748150016680608 3821.251758265629633 0.760040989091353 3822.525721167073243 0.771935925820250 3823.800108793601339 0.783834828188965 3825.074921286807694 0.795737697519551 3826.350158788347017 0.807644535134633 3827.625821439907668 0.821397550033586 3828.901909383230304 0.842448008270050 3830.178422760098329 0.863505484495459 3831.455361712354261 0.884569981049661 3832.732726381877001 0.905641500273101 3834.010516910595015 0.926720044507044 3835.288733440482247 0.947805616093505 3836.567376113569480 0.968898217375435 3837.846445071924791 0.989997850696403 3839.125940457666729 1.011104518400809 3840.405862412957504 1.032218222833772 3841.686211080018893 1.050204472191419 3842.966986601107692 1.067789903626552 3844.248189118532537 1.085381197849244 3845.529818774644809 1.102978356814021 3846.811875711855919 1.120581382476236 3848.094360072612744 1.138190276791726 3849.377271999413551 1.155805041717036 3850.660611634803900 1.173425679209358 3851.944379121373458 1.191052191226491 3853.228574601771015 1.208684579727046 3854.513198218680827 1.222527956691972 3855.798250114838538 1.233886927456905 3857.083730433024357 1.245249685176517 3858.369639316077155 1.256616231113407 3859.655976906871274 1.267986566530484 3860.942743348333806 1.279360692691125 3862.229938783434136 1.290738610859081 3863.517563355202583 1.302120322298641 3864.805617206704028 1.313505828274399 3866.094100481055648 1.324895130051414 3867.383013321418730 1.335723191710515 3868.672355871013679 1.345540820250244 3869.962128273095914 1.355361721878299 3871.252330670974516 1.365185897685899 3872.542963208001311 1.375013348764589 3873.834026027587242 1.384844076206363 3875.125519273180089 1.394678081103497 3876.417443088279015 1.404515364548657 3877.709797616427295 1.414355927634847 3879.002583001227322 1.424199771455517 3880.295799386318777 1.433142882303979 3881.589446915391818 1.436828075722353 3882.883525732181170 1.440514497743279 3884.178035980481582 1.444202148776381 3885.472977804122820 1.447891029231384 3886.768351346988311 1.451581139518168 3888.064156753007865 1.455272480046743 3889.360394166155857 1.458965051227246 3890.657063730466689 1.462658853469986 3891.954165590010689 1.466353887185374 3893.251699888910480 1.470050152783970 3894.549666771332795 1.472677441051436 3895.848066381503486 1.475272605523546 3897.146898863686147 1.477868635194673 3898.446164362194395 1.480465530353262 3899.745863021387777 1.483063291287851 3901.045994985684956 1.485661918287095 3902.346560399540977 1.488261411639723 3903.647559407463632 1.490861771634569 3904.948992154003918 1.493462998560551 3906.250858783773310 1.496065092706712 3907.553159441420121 1.497529731124628 3908.855894271644502 1.498758237866228 3910.159063419190261 1.499987154178329 3911.462667028862143 1.501216480197485 3912.766705245500816 1.502446216060284 3914.071178214000156 1.503676361903364 3915.376086079296783 1.504906917863404 3916.681428986388710 1.506137884077139 3917.987207080310327 1.507369260681340 3919.293420506147868 1.508601047812826 3920.600069409032130 1.509711428311082 3921.907153934154394 1.510774783305316 3923.214674226741863 1.511838492810296 3924.522630432075402 1.512902556944213 3925.831022695479078 1.513966975825292 3927.139851162337436 1.515031749571810 3928.449115978072314 1.516096878302070 3929.758817288157388 1.517162362134421 3931.068955238115450 1.518228201187249 3932.379529973512490 1.519294395578978 3933.690541639976800 1.518017536560103 3935.001990383171687 1.515455265840891 3936.313876348814574 1.512892140889075 3937.626199682665629 1.510328161419872 3938.938960530546865 1.507763327148378 3940.252159038316677 1.505197637789621 3941.565795351886209 1.502631093058523 3942.879869617210261 1.500063692669922 3944.194381980306389 1.497495436338533 3945.509332587226254 1.494926323779005 3946.824721584076542 1.488870059148338 3948.140549117006685 1.480540536824467 3949.456815332227961 1.472208237530328 3950.773520375988937 1.463873160340129 3952.090664394589112 1.455535304327759 3953.408247534374368 1.447194668566811 3954.726269941750616 1.438851252130498 3956.044731763161053 1.430505054091797 3957.363633145101630 1.422156073523352 3958.682974234111953 1.413804309497530 3960.002755176794835 1.400216095281600 3961.322976119787654 1.383114965986352 3962.643637209781900 1.366008135364503 3963.964738593513630 1.348895601515349 3965.286280417779835 1.331777362537392 3966.608262829414798 1.314653416528654 3967.930685975305096 1.297523761586480 3969.253550002383236 1.280388395807618 3970.576855057641296 1.263247317288046 3971.900601288109556 1.246100524123245 3973.224788840871042 1.231454370024137 3974.549417863057442 1.218306475238267 3975.874488501846372 1.205154197090318 3977.200000904475019 1.191997534118854 3978.525955218219224 1.178836484862056 3979.852351590406670 1.165671047857592 3981.179190168411424 1.152501221642668 3982.506471099667124 1.139327004753900 3983.834194531646517 1.126148395727514 3985.162360611873282 1.112965393099232 3986.490969487918392 1.105741248734646 3987.820021307412389 1.101262240438875 3989.149516218024473 1.096781738891477 3990.479454367475228 1.092299743594620 3991.809835903532530 1.087816254050316 3993.140660974023831 1.083331269760374 3994.471929726815233 1.078844790226474 3995.803642309824681 1.074356814950121 3997.135798871016959 1.069867343432662 3998.468399558417332 1.065376375175241 3999.801444520088353 1.062301857320921 4001.134933904146237 1.059633520485973 4002.468867858752674 1.056964294057165 4003.803246532129833 1.054294177737899 4005.138070072538994 1.051623171231503 4006.473338628293277 1.048951274241199 4007.809052347751731 1.046278486470119 4009.145211379335251 1.043604807621269 4010.481815871502022 1.040930237397581 4011.818865972763888 1.038254775501881 4013.156361831681352 1.036270604151771 4014.494303596861300 1.034361125950044 4015.832691416972011 1.032451011149482 4017.171525440719506 1.030540259537858 4018.510805816862558 1.028628870902865 4019.850532694206322 1.026716845032134 4021.190706221617802 1.024804181713203 4022.531326548000379 1.022890880733563 4023.872393822312461 1.020976941880622 4025.213908193557472 1.019095136938963 4026.555869810800232 1.017734038807126 4027.898278823143755 1.016372486900287 4029.241135379744719 1.015010481067163 4030.584439629805274 1.013648021156422 4031.928191722589418 1.012285107016674 4033.272391807399345 1.010921738496486 4034.617040033590001 1.009557915444373 4035.962136550562718 1.008193637708805 4037.307681507781581 1.006828905138185 4038.653675054746600 1.005894212815349 4040.000117341013265 1.006260218662146 4041.347008516181631 1.006626346531228 4042.694348729914964 1.006992596463276 4044.042138131913362 1.007358968498984 4045.390376871931494 1.007725462679060 4046.739065099769050 1.008092079044225 4048.088202965288929 1.008458817635216 4049.437790618390864 1.008825678492781 4050.787828209029612 1.009192661657682 4052.138315887204499 1.009785537104186 4053.489253802978510 1.010633105003828 4054.840642106451469 1.011480955473196 4056.192480947778222 1.012329088606494 4057.544770477161819 1.013177504497961 4058.897510844853969 1.014026203241862 4060.250702201166405 1.014875184932502 4061.604344696449971 1.015724449664209 4062.958438481109170 1.016573997531348 4064.312983705594888 1.017423828628308 4065.667980520420770 1.018871017173909 4067.023429076137290 1.020547039940113 4068.379329523350407 1.022223621473694 4069.735682012711095 1.023900761960936 4071.092486694933541 1.025578461588196 4072.449743720770130 1.027256720541881 4073.807453241026906 1.028935539008465 4075.165615406555844 1.030614917174477 4076.524230368273038 1.032294855226525 4077.883298277130962 1.033982485849142 4079.242819284137113 1.036533517112588 4080.602793540345829 1.039085398861521 4081.963221196873292 1.041638131379498 4083.324102404873884 1.044191714950149 4084.685437315556555 1.046746149857205 4086.047226080177097 1.049301436384484 4087.409468850052690 1.051857574815922 4088.772165776540987 1.054414565435529 4090.135317011051484 1.056972408527413 4091.498922705041423 1.060496169779159 4092.862983010031712 1.066031540520995 4094.227498077579185 1.071568756693964 4095.592468059297971 1.077107818913317 4096.957893106846313 1.082648727794485 4098.323773371947027 1.088191483953161 4099.690109006359307 1.093736088005185 4101.056900161899648 1.099282540566629 4102.424146990432746 1.104830842253763 4103.791849643871501 1.110380993683051 4105.160008274190659 1.115556887934261 4106.528623033404074 1.120550655734177 4107.897694073580169 1.125546088400824 4109.267221546832843 1.130543186489230 4110.637205605340569 1.135541950554661 4112.007646401320017 1.140542381152521 4113.378544087042428 1.145544478838415 4114.749898814825428 1.150548244168113 4116.121710737049398 1.155553677697619 4117.493980006134734 1.160548089173250 4118.866706774555496 1.165302981698526 4120.239891194832126 1.170059459452150 4121.613533419550549 1.174817522962654 4122.987633601332163 1.179577172758694 4124.362191892854753 1.184338409369120 4125.737208446842487 1.189101233322940 4127.112683416085019 1.193865645149395 4128.488616953407472 1.198631645377843 4129.865009211691358 1.203399234537840 4131.241860343865483 1.208219453783665 4132.619170502922316 1.213101437584033 4133.996939841889798 1.217985048983581 4135.375168513855897 1.222870288524940 4136.753856671951326 1.227757156750896 4138.133004469372281 1.232645654204463 4139.512612059354069 1.237535781428797 4140.892679595185655 1.242427538967242 4142.273207230208754 1.247320927363330 4143.654195117809650 1.252215947160751 4145.035643411441015 1.254066043293365 4146.417552264592814 1.255573155706752 4147.799921830809581 1.257080770574680 4149.182752263684961 1.258588888064659 4150.566043716874447 1.260097508344266 4151.949796344072638 1.261606631581121 4153.334010299031434 1.263116257942905 4154.718685735546387 1.264626387597349 4156.103822807478537 1.266137020712254 4157.489421668729847 1.267666756954272 4158.875482473254124 1.269228862225122 4160.262005375053377 1.270791488284516 4161.648990528196009 1.272354635306091 4163.036438086785893 1.273918303463525 4164.424348204985108 1.275482492930558 4165.812721037000301 1.277047203880984 4167.201556737103601 1.278612436488670 4168.590855459607155 1.280178190927525 4169.980617358876771 1.281744467371523 4171.370842589325548 1.283117077554722 4172.761531305432072 1.284460818568965 4174.152683661713127 1.285805007571539 4175.544299812741883 1.287149644711801 4176.936379913136079 1.288494730139148 4178.328924117581664 1.289840264003044 4179.721932580800967 1.291186246452988 4181.115405457572706 1.292532677638533 4182.509342902722892 1.293879557709280 4183.903745071141202 1.294908156815794 4185.298612117758239 1.295456852245847 4186.693944197559176 1.296005730604864 4188.089741465580119 1.296554791953831 4189.486004076905374 1.297104036353752 4190.882732186684734 1.297653463865659 4192.279925950104371 1.298203074550596 4193.677585522409572 1.298752868469633 4195.075711058891102 1.299302845683855 4196.474302714904297 1.299853006254374 4197.873360645844514 1.300376450504225 4199.272885007162586 1.300898916466396 4200.672875954356641 1.301421556612914 4202.073333642990292 1.301944371001856 4203.474258228665349 1.302467359691309 4204.875649867039101 1.302990522739383 4206.277508713819770 1.303513860204206 4207.679834924775605 1.304037372143929 4209.082628655718509 1.304561058616720 4210.485890062512226 1.304297351033545 4211.889619301072344 1.303385087834152 4213.293816527376293 1.302472520496336 4214.698481897441525 1.301559648918704 4216.103615567342786 1.300646472999825 4217.509217693202118 1.299732992638238 4218.915288431204317 1.298819207732440 4220.321827937576927 1.297905118180902 4221.728836368601151 1.296990723882059 4223.136313880607304 1.295630307344873 4224.544260629990276 1.292053170220061 4225.952676773184066 1.288474840517456 4227.361562466679970 1.284895317839465 4228.770917867020216 1.281314601788364 4230.180743130796145 1.277732691966305 4231.591038414662762 1.274149587975279 4233.001803875316000 1.270565289417172 4234.413039669508180 1.266979795893726 4235.824745954037098 1.263393107006571 4237.236922885768763 1.256286954333702 4238.649570621608291 1.248383337164746 4240.062689318514458 1.240477085017601 4241.476279133497883 1.232568197013810 4242.890340223631938 1.224656672274562 4244.304872746030014 1.216742509920826 4245.719876857863710 1.208825709073241 4247.135352716350098 1.200906268852196 4248.551300478772646 1.192984188377705 4249.967720302455746 1.184895292377543 4251.384612344778361 1.176634824187365 4252.801976763169478 1.168371602048848 4254.219813715121745 1.160105625043810 4255.638123358169651 1.151836892253826 4257.056905849901341 1.143565402760160 4258.476161347956804 1.135291155643771 4259.895890010038784 1.127014149985255 4261.316091993890041 1.118734384864971 4262.736767457312453 1.110253313576095 4264.157916558152465 1.100970898392808 4265.579539454325641 1.091685388555350 4267.001636303785745 1.082396783032024 4268.424207264542929 1.073105080790767 4269.847252494656459 1.063810280799195 4271.270772152251084 1.054512382024498 4272.694766395491570 1.045211383433600 4274.119235382599982 1.035907283993056 4275.544179271849316 1.026600082669084 4276.969598221563501 1.017343750360876 4278.395492390130130 1.008088144518625 4279.821861935978632 0.998829452960165 4281.248707017593915 0.989567674656758 4282.676027793509093 0.980302808579350 4284.103824422326397 0.971034853698440 4285.532097062683533 0.961763808984297 4286.960845873278231 0.952489673406800 4288.390071012855515 0.943212445935520 4289.819772640227711 0.934623947310858 4291.249950914245346 0.926332764174066 4292.680605993817153 0.918038816848891 4294.111738037900977 0.909742104413806 4295.543347205521059 0.901442625946898 4296.975433655738925 0.893140380526040 4298.407997547676132 0.884835367228753 4299.841039040501528 0.876527585132288 4301.274558293451264 0.868217033313503 4302.708555465801510 0.860966917623163 4304.143030716883914 0.854824770214902 4305.577984206081055 0.848680575082920 4307.013416092840998 0.842534331544493 4308.449326536651824 0.836386038916722 4309.885715697058913 0.830235696516466 4311.322583733655847 0.824083303660376 4312.759930806104421 0.817928859664809 4314.197757074106448 0.811772363845954 4315.636062697418311 0.805869139292592 4317.074847835848232 0.800534688717476 4318.514112649269919 0.795198459695761 4319.953857297598006 0.789860451634547 4321.394081940803517 0.784520663940723 4322.834786738911134 0.779179096020982 4324.275971851995564 0.773835747281829 4325.717637440196995 0.768490617129526 4327.159783663694725 0.763143704970193 4328.602410682729897 0.758127179367055 4330.045518657587309 0.754892083666581 4331.489107748622700 0.751655909421116 4332.933178116230920 0.748418656271093 4334.377729920862294 0.745180323856822 4335.822763323019899 0.741940911818494 4337.268278483270478 0.738700419796157 4338.714275562223520 0.735458847429765 4340.160754720545810 0.732216194359141 4341.607716118950520 0.728974534341816 4343.055159918222671 0.725792912355407 4344.503086279182753 0.722610229651561 4345.951495362713104 0.719426485876644 4347.400387329743353 0.716241680676917 4348.849762341269525 0.713055813698494 4350.299620558328570 0.709868884587401 4351.749962142017466 0.706680892989531 4353.200787253479575 0.703491838550676 4354.652096053927380 0.700301720916474 4356.103888704612473 0.698141893009124 4357.556165366844652 0.696051564599590 4359.008926201984650 0.693960539297783 4360.462171371458680 0.691868816871354 4361.915901036734795 0.689776397087896 4363.370115359336523 0.687683279714920 4364.824814500844695 0.685589464519856 4366.279998622888343 0.683494951270063 4367.735667887162890 0.681399739732805 4369.191822455404690 0.680520697752757 4370.648462489409212 0.679827737380819 4372.105588151020129 0.679134545983590 4373.563199602150235 0.678441123484045 4375.021297004752341 0.677747469805139 4376.479880520835650 0.677053584869799 4377.938950312460292 0.676359468600930 4379.398506541756433 0.675665120921403 4380.858549370890614 0.674970541754070 4382.319078962090316 0.674189802234935 4383.780095477632130 0.673390631681397 4385.241599079860862 0.672591194693269 4386.703589931160423 0.671791491181727 4388.166068193973842 0.670991521057916 4389.629034030795083 0.670191284232951 4391.092487604185408 0.669390780617912 4392.556429076744280 0.668590010123858 4394.020858611133917 0.667788972661814 4395.485776370063832 0.668921659220752 4396.951182516310837 0.670505766220101 4398.417077212693584 0.672090401343132 4399.883460622088933 0.673675564765916 4401.350332907425582 0.675261256664578 4402.817694231695896 0.676847477215313 4404.285544757937714 0.678434226594367 4405.753884649244355 0.680021504978042 4407.222714068760069 0.681609312542699 4408.692033179698228 0.682914849248572 4410.161842145310402 0.684160139329412 4411.632141128910007 0.685405844576135 4413.102930293863210 0.686651965127155 4414.574209803586200 0.687898501120924 4416.045979821564288 0.689145452695955 4417.518240511321892 0.690392819990793 4418.990992036444368 0.691640603144036 4420.464234560566183 0.692888802294322 4421.937968247389108 0.694051774289874 4423.412193260658569 0.695201495506995 4424.886909764175471 0.696351600028401 4426.362117921793470 0.697502087981879 4427.837817897434434 0.698652959495269 4429.314009855059339 0.699804214696441 4430.790693958689189 0.700955853713312 4432.267870372396828 0.702107876673839 4433.745539260321493 0.703260283706032 4435.223700786643349 0.708450160787598 4436.702355115603496 0.713952119308847 4438.181502411492147 0.719455912121952 4439.661142838667729 0.724961539838478 4441.141276561530503 0.730469003070145 4442.621903744539850 0.735978302428894 4444.103024552205170 0.741489438526851 4445.584639149104987 0.747002411976402 4447.066747699857842 0.752589670980107 4448.549350369142303 0.761536171633742 4450.032447321687869 0.770485654951316 4451.516038722293160 0.779438121927278 4453.000124735795907 0.788393573556311 4454.484705527094775 0.797352010833467 4455.969781261138451 0.806313434754099 4457.455352102944744 0.815277846313978 4458.941418217572391 0.824245246509120 4460.427979770141064 0.833194941341022 4461.915036925822278 0.842020470412390 4463.402589849841206 0.850848941817117 4464.890638707490325 0.859680356536198 4466.379183664103948 0.868514715550874 4467.868224885075506 0.877352019842738 4469.357762535850270 0.886192270393691 4470.847796781940815 0.895035468186032 4472.338327788902461 0.903881614202315 4473.829355722349646 0.914071685178294 4475.320880747947740 0.927628529372138 4476.812903031430324 0.941189893267326 4478.305422738573725 0.954755778370642 4479.798440035212479 0.968326186189396 4481.291955087233873 0.981901118231381 4482.785968060593405 0.995480576005007 4484.280479121286589 1.009064561019049 4485.775488435370789 1.022653074782844 4487.270996168954298 1.036234856657699 4488.767002488212711 1.049807741186830 4490.263507559365280 1.063385150764939 4491.760511548690374 1.076967086900630 4493.258014622516384 1.090553551102957 4494.756016947241733 1.104144544881610 4496.254518689307588 1.117740069746667 4497.753520015212416 1.131340127208728 4499.253021091509254 1.144944718778884 4500.753022084817530 1.159460468586416 4502.253523161799421 1.174462313009995 4503.754524489178038 1.189469158881917 4505.256026233730154 1.204481007869596 4506.758028562285290 1.219497861640978 4508.260531641741181 1.234519721864686 4509.763535639039219 1.249546590209783 4511.267040721179001 1.264578468345911 4512.771047055211966 1.279615357943234 4514.275554808260495 1.295690613894388 4515.780564147485165 1.311917407771011 4517.286075240111131 1.328149611480522 4518.792088253411748 1.344387226826439 4520.298603354732222 1.360630255613052 4521.805620711456868 1.376878699645076 4523.313140491032755 1.393132560727900 4524.821162860958793 1.409391840667474 4526.329687988800288 1.425936065325340 4527.838716042167107 1.444451769182037 4529.348247188730056 1.462973645968794 4530.858281596208144 1.481501697743515 4532.368819432394957 1.500035926565020 4533.879860865120463 1.518576334492575 4535.391406062281021 1.537122923586260 4536.903455191819376 1.555675695906725 4538.416008421751030 1.574234653515513 4539.929065920132416 1.590952539214426 4541.442627855081810 1.604885732016483 4542.956694394767510 1.618823569990249 4544.471265707428756 1.632766054684462 4545.986341961345715 1.646713187648234 4547.501923324861309 1.660664970431258 4549.018009966368481 1.674621404583687 4550.534602054330207 1.688582491656316 4552.051699757253118 1.702548233200345 4553.569303243702961 1.711300868397975 4555.087412682301874 1.717793622462247 4556.606028241723834 1.724288541138601 4558.125150090714669 1.730785625148738 4559.644778398060225 1.737284875214536 4561.164913332607284 1.743786292058127 4562.685555063256288 1.750289876401879 4564.206703758976801 1.756795628968451 4565.728359588779313 1.763167444419471 4567.250522721738889 1.763456610442039 4568.773193326977889 1.763745872869348 4570.296371573692340 1.764035231733538 4571.820057631119198 1.764324687066761 4573.344251668557263 1.764614238901177 4574.868953855356267 1.764903887268958 4576.394164360937793 1.765193632202289 4577.919883354765261 1.765483473733364 4579.446111006361207 1.763861904170684 4580.972847485303646 1.759001740078338 4582.500092961237897 1.754139955661243 4584.027847603853843 1.749276550379213 4585.556111582902304 1.744411523691868 4587.084885068185031 1.739544875058669 4588.614168229575625 1.734676603938843 4590.143961236989526 1.729806709791488 4591.674264260404016 1.724935192075504 4593.205077469848220 1.718063031427386 4594.736401035421295 1.710505909812429 4596.268235127266053 1.702946268737046 4597.800579915586241 1.695384107361277 4599.333435570641996 1.687819424844884 4600.866802262746205 1.680252220347368 4602.400680162281787 1.672682493027886 4603.935069439676226 1.665110242045373 4605.469970265416123 1.657207710626513 4607.005382810041738 1.647360546580977 4608.541307244163363 1.637510099600272 4610.077743738435856 1.627656368589927 4611.614692463572283 1.617799352455097 4613.152153590342095 1.607939050100573 4614.690127289582961 1.598075460430711 4616.228613732176200 1.588208582349587 4617.767613089064071 1.578338414760885 4619.307125531242491 1.563962477020681 4620.847151229777410 1.546156316335959 4622.387690355778432 1.528344219274999 4623.928743080417007 1.510526183858675 4625.470309574915518 1.492702208107272 4627.012390010569106 1.474872290040231 4628.554984558714750 1.457036427676513 4630.098093390753093 1.439194619034339 4631.641716678134799 1.421398587784909 4633.185854592383293 1.406785629771575 4634.730507305064748 1.392167799960315 4636.275674987808088 1.377545096726920 4637.821357812292263 1.362917518446704 4639.367555950270798 1.348285063494277 4640.914269573537240 1.333647730243869 4642.461498853950616 1.319005517069092 4644.009243963419067 1.304358422343091 4645.557505073923494 1.290529240618792 4647.106282357489363 1.277557926572658 4648.655575986203075 1.264582288034462 4650.205386132207423 1.251602323562474 4651.755712967698855 1.238618031714515 4653.306556664945674 1.225629411047805 4654.857917396258927 1.212636460119203 4656.409795334012415 1.199639177485047 4657.962190650632692 1.186637561701229 4659.515103518616343 1.175534055853428 4661.068534110505425 1.164456324330370 4662.622482598902934 1.153374899614642 4664.176949156465525 1.142289780475003 4665.731933955920795 1.131200965679710 4667.287437170039993 1.120108453996706 4668.843458971657128 1.109012244193488 4670.399999533658956 1.097912335037176 4671.957059029003176 1.085126706514506 4673.514637630692050 1.070689522831149 4675.072735511790597 1.056247525951070 4676.631352845414767 1.041800714269657 4678.190489804754179 1.027349086181619 4679.750146563042108 1.012892640081257 4681.310323293572765 0.998431374362309 4682.871020169695839 0.983965287417997 4684.432237364830144 0.969736578463990 4685.993975052440874 0.960138055515867 4687.556233406052343 0.950536332526792 4689.119012599246162 0.940931408429924 4690.682312805673064 0.931323282157995 4692.246134199029257 0.921711952643460 4693.810476953070975 0.912097418818403 4695.375341241609931 0.902479679614569 4696.940727238530599 0.892858733963254 4698.506635117758378 0.884257181578922 4700.073065053284154 0.876285374474642 4701.640017219155197 0.868310909658401 4703.207491789472442 0.860333786244171 4704.775488938410490 0.852354003345551 4706.344008840183960 0.844371560075935 4707.913051669075685 0.836386455548371 4709.482617599416699 0.828398688875661 4711.052706805614434 0.821191153856656 4712.623319462117252 0.816933031462309 4714.194455743438084 0.812673489457242 4715.766115824143526 0.808412527368184 4717.338299878871112 0.804150144721672 4718.911008082303852 0.799886341044117 4720.484240609186600 0.795621115861767 4722.057997634318781 0.791354468700717 4723.632279332570761 0.787086399086874 4725.207085878859289 0.783948302588709 4726.782417448162050 0.781049254040833 4728.358274215510392 0.778149238982376 4729.934656356011146 0.775248257091091 4731.511564044811166 0.772346308044660 4733.088997457123696 0.769443391520642 4734.666956768213822 0.766539507196501 4736.245442153419390 0.763634654749565 4737.824453788123719 0.761288664748754 4739.403991847771977 0.759589635039512 4740.984056507863897 0.757890038892638 4742.564647943971977 0.756189876119276 4744.145766331712366 0.754489146530527 4745.727411846764880 0.752787849937419 4747.309584664868453 0.751085986150919 4748.892284961814767 0.749383554981937 4750.475512913469174 0.747776750866160 4752.059268695740684 0.746839461384706 4753.643552484602878 0.745901859421348 4755.228364456081181 0.744963944871911 4756.813704786277412 0.744025717632175 4758.399573651334322 0.743087177597896 4759.985971227459231 0.742148324664792 4761.572897690914942 0.741209158728550 4763.160353218036107 0.740269679684810 4764.748337985201033 0.739623761366092 4766.336852168852602 0.739046310185110 4767.925895945487355 0.738468666488318 4769.515469491676413 0.737890830211531 4771.105572984033643 0.737312801290546 4772.696206599237485 0.736734579661137 4774.287370514020040 0.736156165259060 4775.879064905186169 0.735577558020044 4777.471289949587117 0.735023269415030 4779.064045824135974 0.734491553430650 4780.657332705801309 0.733959660178066 4782.251150771624452 0.733427589598178 4783.845500198692207 0.732895341631866 4785.440381164153223 0.732362916219993 4787.035793845211629 0.731830313303403 4788.631738419146131 0.731297532822912 4790.228215063279094 0.731205548264177 4791.825223954996545 0.732440476793400 4793.422765271738172 0.733675817034076 4795.020839191019149 0.734911569123474 4796.619445890399220 0.736147733198896 4798.218585547499970 0.737384309397693 4799.818258340003922 0.738621297857262 4801.418464445647260 0.739858698715044 4803.019204042241654 0.741102637580720 4804.620477307641522 0.744343954554572 4806.222284419765856 0.747586352147508 4807.824625556588217 0.750829830719785 4809.427500896156744 0.754074390631809 4811.030910616563233 0.757320032244076 4812.634854895964963 0.760566755917215 4814.239333912573784 0.763814562011963 4815.844347844673393 0.767063450889206 4817.449896870593875 0.770806495374270 4819.055981168730796 0.774690482764711 4820.662600917531563 0.778575765033403 4822.269756295520892 0.782462342612071 4823.877447481265335 0.786350215932543 4825.485674653397837 0.790239385426804 4827.094437990605002 0.794129851526974 4828.703737671648923 0.798021614665351 4830.313573875335351 0.802484657923961 4831.923946780535516 0.807365500245962 4833.534856566173403 0.812247969786575 4835.146303411250301 0.817132067088329 4836.758287494810247 0.822017792693887 4838.370808995962761 0.826905147146105 4839.983868093871024 0.831794130988007 4841.597464967775522 0.836684744762847 4843.211599796958581 0.841192836484426 4844.826272760768916 0.845123668580044 4846.441484038608905 0.849055811171416 4848.057233809957324 0.852989264695476 4849.673522254337513 0.856924029589261 4851.290349551335567 0.860860106289965 4852.907715880599426 0.864797495234930 4854.525621421832511 0.868736196861635 4856.144066354811002 0.872454201186259 4857.763050859357463 0.875478958015960 4859.382575115358122 0.878504723265997 4861.002639302757416 0.881531497272561 4862.623243601569811 0.884559280371973 4864.244388191859798 0.887588072900649 4865.866073253752802 0.890617875195119 4867.488298967431547 0.893648687592018 4869.111065513154244 0.896543361425106 4870.734373071221853 0.898302131758572 4872.358221822003543 0.900061488446537 4873.982611945920326 0.901821431684479 4875.607543623470519 0.903581961667957 4877.233017035197918 0.905343078592581 4878.859032361709069 0.907104782654030 4880.485589783668729 0.908867074048045 4882.112689481815323 0.910629952970446 4883.740331636932751 0.912443476180122 4885.368516429868578 0.914257852408649 4886.997244041529484 0.916072833530056 4888.626514652894002 0.917888419746020 4890.256328444987048 0.919704611258266 4891.886685598899930 0.921521408268594 4893.517586295777619 0.923338810978864 4895.149030716841480 0.925156819591021 4896.781019043358356 0.927008201938099 4898.413551456660571 0.928863668309315 4900.046628138139567 0.930719753272414 4901.680249269244086 0.932576457033622 4903.314415031497447 0.934433779799252 4904.949125606469352 0.936291721775667 4906.584381175793169 0.938150283169304 4908.220181921158655 0.940009464186664 4909.856528024332874 0.941009285841315 4911.493419667126545 0.941839937390224 4913.130857031415871 0.942670865869135 4914.768840299133444 0.943502071370371 4916.407369652289162 0.944333553986294 4918.046445272933852 0.945165313809286 4919.686067343190189 0.945997350931768 4921.326236045230871 0.946829665446183 4922.966951561307724 0.945804832843436 4924.608214073718045 0.944280024971878 4926.250023764823709 0.942754708746308 4927.892380817042977 0.941228883997253 4929.535285412870508 0.939702550555165 4931.178737734846436 0.938175708250457 4932.822737965575470 0.936648356913481 4934.467286287719617 0.935120496374535 4936.112382884017279 0.932363177048105 4937.758027937250517 0.929221587731041 4939.404221630271422 0.926078951042982 4941.050964145982107 0.922935266634763 4942.698255667366539 0.919790534157061 4944.346096377450522 0.916644753260475 4945.994486459328073 0.913497923595471 4947.643426096148687 0.910350044812411 4949.292915471138258 0.907471628418191 4950.942954767568153 0.904678683916249 4952.593544168775225 0.901884808277627 4954.244683858159988 0.899090001191891 4955.896374019174800 0.896294262348519 4957.548614835353874 0.893497591436853 4959.201406490272348 0.890699988146163 4960.854749167574482 0.887901452165603 4962.508643050960018 0.886683140600155 4964.163088324204182 0.885924045049604 4965.818085171131315 0.885164696425025 4967.473633775627604 0.884405094642048 4969.129734321639262 0.883645239616274 4970.786386993186170 0.882885131263271 4972.443591974338233 0.882124769498583 4974.101349449227200 0.881364154237727 4975.759659602043030 0.880915207015994 4977.418522617054805 0.880537905627769 4979.077938678573446 0.880160478451451 4980.737907970979904 0.879782925445104 4982.398430678708792 0.879405246566779 4984.059506986273846 0.879027441774508 4985.721137078233369 0.878649511026316 4987.383321139213876 0.878271454280208 4989.046059353896453 0.880154299397062 4990.709351907040400 0.882369410545910 4992.373198983450493 0.884585260188217 4994.037600767998811 0.886801848570187 4995.702557445614730 0.889019175938102 4997.368069201302205 0.891237242538345 4999.034136220114306 0.893456048617362 5000.700758687167763 0.895675594421684 5002.367936787644794 0.897565538017935 5004.035670706781275 0.899439545041696 5005.703960629891299 0.901314176838595 5007.372806742336252 0.903189433616917 5009.042209229542095 0.905065315585025 5010.712168276992998 0.906941822951342 5012.382684070251344 0.908818955924384 5014.053756794924084 0.910705313243810 5015.725386636685471 0.912745190878555 5017.397573781267965 0.914785748585845 5019.070318414480425 0.916826986592422 5020.743620722177184 0.918868905125081 5022.417480890281695 0.920911504410703 5024.091899104772892 0.922954784676239 5025.766875551708836 0.924998746148732 5027.442410417190331 0.927162237703106 5029.118503887390034 0.929886839180302 5030.795156148533351 0.932612349009363 5032.472367386927544 0.935338767493145 5034.150137788923530 0.938066094934572 5035.828467540939528 0.940794331636682 5037.507356829451965 0.943523477902602 5039.186805841014575 0.946253534035589 5040.866814762227477 0.948949993226639 5042.547383779758093 0.951573120150088 5044.228513080332050 0.954197121594917 5045.910202850750466 0.956821997852695 5047.592453277863569 0.959447749215069 5049.275264548587074 0.962074375973787 5050.958636849896720 0.964701878420692 5052.642570368841916 0.967330256847741 5054.327065292523002 0.969913490109608 5056.012121808105803 0.972447776231650 5057.697740102817988 0.974982907256541 5059.383920363945435 0.977518883465955 5061.070662778852238 0.980055705141684 5062.757967534949785 0.982593372565589 5064.445834819714946 0.985131886019632 5066.134264820683711 0.987671245785862 5067.823257725471194 0.991613556267407 5069.512813721736165 0.996268041694439 5071.202932997207427 1.000924078875224 5072.893615739671986 1.005581668327088 5074.584862136993252 1.010240810567567 5076.276672377081923 1.014901506114328 5077.969046647916912 1.019563755485228 5079.661985137535339 1.024227559198281 5081.355488034050722 1.029363214960774 5083.049555525626602 1.034572583827030 5084.744187800491090 1.039783689439015 5086.439385046932330 1.044996532375726 5088.135147453314858 1.050211113216398 5089.831475208053234 1.055427432540418 5091.528368499627504 1.060645490927373 5093.225827516575919 1.065880408259786 5094.923852447514946 1.071267944591343 5096.622443481110167 1.076657277067688 5098.321600806092647 1.082048406287630 5100.021324611253476 1.087441332850170 5101.721615085461053 1.092836057354556 5103.422472417631070 1.098232580400183 5105.123896796747431 1.103630902586665 5106.825888411852247 1.116777420999446 5108.528447452065848 1.145304580083659 5110.231574106557673 1.173841249805937 5111.935268564562648 1.202387433336995 5113.639531015380271 1.230943133848636 5115.344361648368249 1.259508354513634 5117.049760652962505 1.288083098506075 5118.755728218646254 1.316667369000838 5120.462264534971837 1.333982958023640 5122.169369791548888 1.343752982734621 5123.877044178067081 1.353526264663379 5125.585287884261561 1.363302804895797 5127.294101099937507 1.373082604518159 5129.003484014958303 1.382865664617083 5130.713436819265553 1.392651986279633 5132.423959702849061 1.402441570593150 5134.135052855766844 1.409648632527929 5135.846716468135128 1.416514931929355 5137.558950730148354 1.423383520478770 5139.271755832050985 1.430254398939335 5140.985131964152970 1.437127568074474 5142.699079316826101 1.444003028647860 5144.413598080518568 1.450880781423469 5146.128688445727676 1.457856746954507 5147.844350603018029 1.465253503276128 5149.560584743013351 1.472652725594141 5151.277391056418310 1.480054414730732 5152.994769733983048 1.487458571508286 5154.712720966526831 1.494865196749485 5156.431244944929858 1.502274291277271 5158.150341860147819 1.509685855914916 5159.870011903186423 1.514044270856678 5161.590255265120504 1.515465978060436 5163.311072137088559 1.516888159245588 5165.032462710287291 1.518310814570150 5166.754427175992532 1.519733944192202 5168.476965725527407 1.521157548269867 5170.200078550286889 1.522581626961322 5171.923765841721433 1.524006180424794 5173.648027791363347 1.523394725973487 5175.372864590790414 1.522431422700298 5177.098276431653176 1.521467798272495 5178.824263505657655 1.520503852583012 5180.550826004589908 1.519539585524738 5182.277964120286924 1.518574996990534 5184.005678044652086 1.517610086873225 5185.733967969646983 1.516900040666333 5187.462834087316878 1.517120526933108 5189.192276589750691 1.517341086707555 5190.922295669110099 1.517561720014182 5192.652891517613170 1.517782426877502 5194.384064327558917 1.518003207322040 5196.115814291295464 1.518224061372327 5197.848141601238240 1.518444989052902 5199.581046449864516 1.517804952932893 5201.314529029727964 1.516583427131408 5203.048589533434097 1.515361494086786 5204.783228153654818 1.514139153663256 5206.518445083123879 1.512916405725006 5208.254240514652338 1.511693250136169 5209.990614641102184 1.510469686760841 5211.727567655403618 1.509245715463072 5213.465099750545050 1.507916534832022 5215.203211119597654 1.506586715992638 5216.941901955678986 1.505256453806420 5218.681172451977545 1.503925748125561 5220.421022801744584 1.502594598802206 5222.161453198292293 1.501263005688453 5223.902463835011986 1.499930968636339 5225.644054905344092 1.498689893205445 5227.386226602799070 1.497575452895503 5229.128979120945587 1.496460641043540 5230.872312653434165 1.495345457525683 5232.616227393962617 1.494229902218025 5234.360723536299702 1.493113974996616 5236.105801274272380 1.491997675737467 5237.851460801789472 1.490881004316537 5239.597702312807087 1.490131214051024 5241.344526001354097 1.489442024485028 5243.091932061513944 1.488752605150887 5244.839920687454651 1.488062955971994 5246.588492073392445 1.487373076871722 5248.337646413612674 1.486682967773420 5250.087383902459806 1.485992628600410 5251.837704734360159 1.485380210317954 5253.588609103789167 1.484936538504216 5255.340097205291386 1.484492718775221 5257.092169233470486 1.484048751081660 5258.844825383013813 1.483604635374197 5260.598065848653277 1.483160371603490 5262.351890825193550 1.482715959720176 5264.106300507501146 1.482271399674875 5265.861295090518979 1.482151011903933 5267.616874769240894 1.482114924812905 5269.373039738733496 1.482078825690842 5271.129790194117959 1.482042714533732 5272.887126330601859 1.482006591337563 5274.645048343438248 1.481970456098322 5276.403556427952935 1.481934308811993 5278.162650779533578 1.481464849818385 5279.922331593632407 1.479933177411954 5281.682599065778049 1.478400994362949 5283.443453391550975 1.476868300501130 5285.204894766602592 1.475335095656197 5286.966923386642520 1.473801379657800 5288.729539447462230 1.472267152335517 5290.492743144902306 1.470732413518882 5292.256534674876093 1.469231450991856 5294.020914233353324 1.467738312493911 5295.785882016387404 1.466244676200169 5297.551438220079945 1.464750541944672 5299.317583040604404 1.463255909561408 5301.084316674194270 1.461760778884309 5302.851639317163063 1.460265149747241 5304.619551165875237 1.458776243072424 5306.388052416765277 1.457300974136859 5308.157143266328603 1.455825213363017 5309.926823911140673 1.454348960586917 5311.697094547826055 1.452872215644536 5313.467955373083896 1.451394978371790 5315.239406583670643 1.449917248604545 5317.011448376424596 1.448439026178602 5318.784080948233168 1.445158136240122 5320.557304496056531 1.441653877452016 5322.331119216913066 1.438148450382957 5324.105525307905737 1.434641854643428 5325.880522966184799 1.431134089843820 5327.656112388971451 1.427625155594382 5329.432293773553283 1.424115051505232 5331.209067317279732 1.420297954688782 5332.986433217579361 1.416121538136611 5334.764391671933481 1.411943729213538 5336.542942877891619 1.407764527455366 5338.322087033065145 1.403583932397752 5340.101824335149104 1.399401943576156 5341.882154981885833 1.395218560525926 5343.663079171088611 1.391028836309167 5345.444597100634383 1.386742815116709 5347.226708968479215 1.382455365012371 5349.009414972631930 1.378166485519775 5350.792715311167740 1.373876176162390 5352.576610182228251 1.369584436463519 5354.361099784034195 1.365291265946280 5356.146184314857237 1.360996664133664 5357.931863973039071 1.356322783124351 5359.718138956983239 1.351449743840185 5361.505009465176954 1.346575079938820 5363.292475696154725 1.341698790878643 5365.080537848523818 1.336820876117846 5366.869196120953347 1.331941335114449 5368.658450712192462 1.327060167326257 5370.448301821043060 1.322246200469585 5372.238749646377983 1.317605962046685 5374.029794387128277 1.312964176619842 5375.821436242312302 1.308320843673268 5377.613675410993892 1.303675962691055 5379.406512092312369 1.299029533157102 5381.199946485465262 1.294381554555155 5382.993978789734683 1.289732026368743 5384.788609204451859 1.285079131166990 5386.583837929018955 1.280424538019605 5388.379665162907258 1.275768393082552 5390.176091105648084 1.271110695838496 5391.973115956854599 1.266451445769888 5393.770739916189996 1.261790642359049 5395.568963183390224 1.257128285088113 5397.367785958253990 1.252380156305578 5399.167208440660943 1.247571095730855 5400.967230830539847 1.242760431868744 5402.767853327895864 1.237948164184719 5404.569076132790542 1.233134292144106 5406.370899445370924 1.228318815211997 5408.173323465834983 1.223501732853355 5409.976348394451634 1.218640660040642 5411.779974431551636 1.213660940886482 5413.584201777548515 1.208679561549240 5415.389030632906724 1.203696521475445 5417.194461198163481 1.198711820111424 5419.000493673915116 1.193725456903341 5420.807128260844365 1.188737431297121 5422.614365159682166 1.183747742738555 5424.422204571232214 1.178668478428792 5426.230646696361873 1.173584142697295 5428.039691736017630 1.168498111904714 5429.849339891201453 1.163410385485944 5431.659591362983520 1.158320962875687 5433.470446352497675 1.153229843508466 5435.281905060961435 1.148137026818569 5437.093967689643250 1.143650663648064 5438.906634439882509 1.139451913306510 5440.719905513086815 1.135251763148220 5442.533781110723794 1.131050212706525 5444.348261434349297 1.126847261514555 5446.163346685563738 1.122642909105333 5447.979037066045748 1.118437155011704 5449.795332777530348 1.114038175245005 5451.612234021842596 1.109361978702302 5453.429741000852118 1.104684223167603 5455.247853916505846 1.100004908121152 5457.066572970808920 1.095324033043046 5458.885898365853791 1.090641597413155 5460.705830303782932 1.085957600711220 5462.526368986808848 1.081307913802707 5464.347514617209526 1.076844576886915 5466.169267397344811 1.072379751944147 5467.991627529627294 1.067913438478323 5469.814595216540511 1.063445635993188 5471.638170660630749 1.058976343992333 5473.462354064528881 1.054505561979143 5475.287145630916712 1.050033289456877 5477.112545562547893 1.045136951231133 5478.938554062240655 1.040206109290813 5480.765171332895079 1.035273623462531 5482.592397577462179 1.030339493198252 5484.420232998969368 1.025403717949732 5486.248677800501355 1.020466297168574 5488.077732185231071 1.015527230306141 5489.907396356381469 1.009906342106925 5491.737670517248262 1.004009402985274 5493.568554871189917 0.998110497889622 5495.400049621647668 0.992209626164504 5497.232154972117314 0.986306787154280 5499.064871126165599 0.980401980203079 5500.898198287427476 0.974495204654813 5502.732136659599746 0.968496295876075 5504.566686446465610 0.962410447405267 5506.401847851858292 0.956322569980161 5508.237621079682867 0.950232662924331 5510.074006333910802 0.944140725561132 5511.911003818595418 0.938046757213647 5513.748613737840969 0.931950757204791 5515.586836295828107 0.925801472662561 5517.425671696795689 0.919548108781345 5519.265120145071705 0.913292660098035 5521.105181845034167 0.907035125917597 5522.945857001133845 0.900775505544752 5524.787145817883356 0.894513798284011 5526.629048499882629 0.888250003439585 5528.471565251782522 0.881846988551098 5530.314696278306656 0.874776891505128 5532.158441784240495 0.867704437367341 5534.002801974457725 0.860629625351859 5535.847777053881146 0.853552454672615 5537.693367227507224 0.846472924543260 5539.539572700396093 0.839391034177201 5541.386393677693377 0.832303661912990 5543.233830364596542 0.825090410867343 5545.081882966374906 0.817874755003903 5546.930551688361447 0.810656693520953 5548.779836735978279 0.803436225616432 5550.629738314692077 0.796213350488100 5552.480256630050462 0.788988067333405 5554.331391887658356 0.781760375349569 5556.183144293210717 0.776042559440911 5558.035514052451617 0.770499746731833 5559.888501371199709 0.764955086110551 5561.742106455342764 0.759408576960990 5563.596329510830401 0.753860218666891 5565.451170743699549 0.748310010611733 5567.306630360038071 0.742757952178844 5569.162708566007495 0.739127931468720 5571.019405567834838 0.736030522714714 5572.876721571828966 0.732932081319018 5574.734656784352410 0.729832606937370 5576.593211411844095 0.726732099225382 5578.452385660804794 0.723630557838561 5580.312179737818951 0.720527982432276 5582.172593849525583 0.717407512805163 5584.033628202636464 0.714278326848198 5585.895283003928853 0.711148097655394 5587.757558460264590 0.708016824878928 5589.620454778556450 0.704884508170891 5591.483972165794512 0.701751147183246 5593.348110829028883 0.698616741567855 5595.212870975397891 0.695891949921216 5597.078252812091705 0.693430735660602 5598.944256546375073 0.690968700858484 5600.810882385575496 0.688505845241313 5602.678130537107791 0.686042168535420 5604.546001208438611 0.683577670467073 5606.414494607108281 0.681112350762438 5608.283610940721701 0.679167627691574 5610.153350416971080 0.677655779689729 5612.023713243597740 0.676143427654549 5613.894699628420312 0.674630571417995 5615.766309779326548 0.673117210811972 5617.638543904266953 0.671603345668334 5619.511402211279346 0.670088975818864 5621.384884908454296 0.668718311933797 5623.258992203955131 0.667491184946049 5625.133724306009753 0.666263648847795 5627.009081422935196 0.665035703502633 5628.885063763097605 0.663807348774130 5630.761671534939524 0.662578584525800 5632.638904946967159 0.661349410621120 5634.516764207773122 0.660016666522089 5636.395249526003681 0.658567726044652 5638.274361110377868 0.657118302506550 5640.154099169682013 0.655668395746741 5642.034463912787032 0.654218005604114 5643.915455548614773 0.652767131917521 5645.797074286166207 0.651315774525752 5647.679320334504155 0.650116670156821 5649.562193902777835 0.649215611898185 5651.445695200189220 0.648314253236733 5653.329824436017589 0.647412594072312 5655.214581819604973 0.646510634304740 5657.099967560378900 0.645608373833796 5658.985981867821465 0.644705812559231 5660.872624951491161 0.643963119815353 5662.759897021007419 0.643406558417564 5664.647798286079706 0.642849811468383 5666.536328956468424 0.642292878905953 5668.425489242010372 0.641735760668391 5670.315279352606922 0.641178456693797 5672.205699498246759 0.640620966920245 5674.096749888969498 0.640941641281126 5675.988430734892063 0.642205950250075 5677.880742246202317 0.643470680725595 5679.773684633150879 0.644735832848206 5681.667258106075678 0.646001406758490 5683.561462875368306 0.647267402597061 5685.456299151495841 0.648533820504586 5687.351767144990845 0.651396900420210 5689.247867066470462 0.655744793922412 5691.144599126608227 0.660094136964025 5693.041963536152252 0.664444930028310 5694.939960505914314 0.668797173598674 5696.838590246794411 0.673150868158726 5698.737852969746200 0.677506014192196 5700.637748885797919 0.685980958171065 5702.538278206045106 0.697559191289294 5704.439441141667885 0.709141284461902 5706.341237903900947 0.720727238975755 5708.243668704055381 0.732317056118182 5710.146733753505941 0.743910737176903 5712.050433263717423 0.755508283440183 5713.954767446203732 0.783419078068069 5715.859736512559721 0.820560438969586 5717.765340674442086 0.857714182388262 5719.671580143596657 0.894880312452526 5721.578455131821102 0.932058833291816 5723.485965850990397 0.969249749037079 5725.394112513045002 1.006453063820539 5727.302895330012689 1.026612720401139 5729.212314513975798 1.040248123660199 5731.122370277089431 1.053888072811276 5733.033062831578718 1.067532569369896 5734.944392389752466 1.081181614852182 5736.856359163976776 1.094835210774667 5738.768963366690514 1.108493358654405 5740.682205210406210 1.122340208451359 5742.596084907700060 1.136231192658347 5744.510602671238303 1.150126807965260 5746.425758713737196 1.164027055915999 5748.341553247993033 1.177931938055044 5750.257986486866685 1.191841455927344 5752.175058643305420 1.205755611078476 5754.092769930312897 1.224943092759691 5756.011120560966447 1.244477083581384 5757.930110748412517 1.264017586818647 5759.849740705882141 1.283564604642746 5761.770010646661831 1.303118139225516 5763.690920784115406 1.322678192739577 5765.612471331671259 1.341822024744576 5767.534662502846913 1.355453301973208 5769.457494511213554 1.369089123718296 5771.380967570418761 1.382729491494928 5773.305081894175601 1.396374406818657 5775.229837696287177 1.410023871205675 5777.155235190608437 1.423677886172539 5779.081274591073452 1.435584908934716 5781.007956111679960 1.441235208531663 5782.935279966514827 1.446887391875765 5784.863246369721310 1.452541459595029 5786.791855535515424 1.458197412317680 5788.721107678184126 1.463855250672147 5790.651003012097135 1.469514975287104 5792.581541751684199 1.475531993968810 5794.512724111447824 1.482126747758276 5796.444550305965095 1.488723700165424 5798.377020549875851 1.495322851923221 5800.310135057912703 1.501924203764955 5802.243894044860099 1.508527756424086 5804.178297725578886 1.515133510634341 5806.113346314996306 1.519328855633190 5808.049040028132367 1.521632513062234 5809.985379080056191 1.523936938505083 5811.922363685916935 1.526242132217783 5813.859994060929239 1.528548094456462 5815.798270420396875 1.530854825477349 5817.737192979679094 1.533162325536744 5819.676761954210633 1.534518355502483 5821.616977559493534 1.535564921775270 5823.557840011118969 1.536611836961632 5825.499349524732679 1.537659101177892 5827.441506316057712 1.538706714540412 5829.384310600884419 1.539754677165590 5831.327762595090462 1.540802989169873 5833.271862514608074 1.540447005391137 5835.216610575451341 1.540038447589853 5837.162006993696195 1.539629753579937 5839.108051985507700 1.539220923315975 5841.054745767110035 1.538811956752543 5843.002088554800139 1.538402853844201 5844.950080564945893 1.537343670740478 5846.898722014000668 1.533492234895700 5848.848013118475137 1.529639515024982 5850.797954094957277 1.525785510700241 5852.748545160100548 1.521930221493271 5854.699786530650272 1.518073646975679 5856.651678423404519 1.514215786718969 5858.604221055240487 1.509570617070310 5860.557414643106313 1.503877454715379 5862.511259404018347 1.498182394323359 5864.465755555082069 1.492485435261430 5866.420903313458439 1.486786576896614 5868.376702896385723 1.481085818595703 5870.333154521169490 1.475383159725298 5872.290258405203531 1.468001927291325 5874.248014765938933 1.459844587639124 5876.206423820905002 1.451684528420465 5878.165485787696525 1.443521748728703 5880.125200883996513 1.435356247656822 5882.085569327548910 1.427188024297554 5884.046591336169513 1.419017077743330 5886.008267127745967 1.408956997043813 5887.970596920252319 1.398804146535273 5889.933580931719916 1.388647911179121 5891.897219380258321 1.378488289846884 5893.861512484043487 1.368325281409747 5895.826460461341412 1.358158884738429 5897.792063530474479 1.347722776538213 5899.758321909843289 1.336440911271247 5901.725235817914836 1.325155284755718 5903.692805473247063 1.313865895737599 5905.661031094452483 1.302572742962551 5907.629912900221825 1.291275825175784 5909.599451109315851 1.279975141122107 5911.569645940582632 1.270490465665278 5913.540497612928448 1.262548273591828 5915.512006345334157 1.254603433679745 5917.484172356858835 1.246655945046258 5919.456995866625221 1.238705806808339 5921.430477093847003 1.230753018082597 5923.404616257794260 1.222797577985410 5925.379413577817104 1.214719320575809 5927.354869273329314 1.206618185084821 5929.330983563839254 1.198514348765198 5931.307756668909860 1.190407810716535 5933.285188808181374 1.182298570038110 5935.263280201363159 1.174186625828920 5937.242031068253709 1.166650304547687 5939.221441628709727 1.161634564443524 5941.201512102666129 1.156617152147307 5943.182242710123319 1.151598067101566 5945.163633671176285 1.146577308748590 5947.145685205970949 1.141554876530537 5949.128397534737815 1.136530769889355 5951.111770877771050 1.131832497655894 5953.095805455456684 1.127421295008310 5955.080501488238951 1.123008621714748 5957.065859196638485 1.118594477284912 5959.051878801244129 1.114178861228357 5961.038560522737498 1.109761773054430 5963.025904581854775 1.105343212272358 5965.013911199412178 1.100259302822345 5967.002580596294138 1.095092810553672 5968.991912993473306 1.089924595833838 5970.981908611984181 1.084754658088604 5972.972567672934019 1.079582996743542 5974.963890397502837 1.074409611224034 5976.955877006960691 1.068155101998736 5978.948527722634026 1.058917874904261 5980.941842765925685 1.049677568220860 5982.935822358318546 1.040434180921818 5984.930466721358243 1.031187711980127 5986.925776076684997 1.021938160368340 5988.921750645991779 1.012685525058768 5990.918390651056143 0.993931810124680 5992.915696313718399 0.970167750107920 5994.913667855915264 0.946395767417370 5996.912305499636204 0.922615859411786 5998.911609466953450 0.898828023448939 6000.911579980005627 0.875032256885812 6002.912217261022306 0.852209138314832 6004.913521532293089 0.845134277116148 6006.915493016182154 0.838057057237311 6008.918131935126439 0.830977477891979 6010.921438511652923 0.823895538293491 6012.925412968345881 0.816811237654984 6014.930055527868717 0.809724575189314 6016.935366412952135 0.798106992468586 6018.941345846424156 0.781513305506093 6020.947994051161004 0.764914086392656 6022.955311250127124 0.748309333283887 6024.963297666348808 0.731699044334889 6026.971953522950571 0.715083217699948 6028.981279043107861 0.698461851532935 6030.991274450080709 0.691820276776948 6033.001939967194630 0.686173933510182 6035.013275817869726 0.680525707815257 6037.025282225582487 0.674875599064606 6039.037959413888530 0.669223606630441 6041.051307606411683 0.663569729884783 6043.065327026870364 0.659478877028319 6045.080017899037557 0.658217503156195 6047.095380446769923 0.656955708756029 6049.111414893994151 0.655693493687622 6051.128121464709693 0.654430857810732 6053.145500383006947 0.653167800985058 6055.163551873030883 0.651904323070266 6057.182276159012872 0.652171970730894 6059.201673465247950 0.652782415231469 6061.221744016124831 0.653393063247463 6063.242488036091345 0.654003914846725 6065.263905749673540 0.654614970097126 6067.285997381467496 0.655226229066560 6069.308763156162968 0.656595391168685 6071.332203298504282 0.659797794497972 6073.356318033319440 0.663001265472968 6075.381107585502832 0.666205804449602 6077.406572180045259 0.669411411783956 6079.432712041989362 0.672618087832195 6081.459527396464182 0.675825832950620 6083.487018468663337 0.681767374949041 6085.515185483877758 0.688472653096516 6087.544028667452039 0.695180166709263 6089.573548244813537 0.701889916532562 6091.603744441458730 0.708601903311921 6093.634617482976864 0.715316127793157 6095.666167595013576 0.722436042246976 6097.698395003298174 0.730567439161713 6099.731299933626360 0.738701546993856 6101.764882611889334 0.746838366647247 6103.799143264033773 0.754977899025949 6105.834082116090940 0.763120145034364 6107.869699394162126 0.771265105577173 6109.905995324423202 0.778317195821791 6111.942970133139170 0.785103320760008 6113.980624046636876 0.791891708116923 6116.018957291322295 0.798682358646801 6118.057970093667791 0.805475273104129 6120.097662680245776 0.812270452243726 6122.138035277681411 0.819119521546100 6124.179088112682621 0.826073405152234 6126.220821412027362 0.833029607105919 6128.263235402586361 0.839988128180107 6130.306330311289457 0.846948969147949 6132.350106365146530 0.853912130782869 6134.394563791237488 0.860877613858531 6136.439702816736826 0.870092617059439 6138.485523668876340 0.879615828721526 6140.532026574970587 0.889142215316633 6142.579211762399609 0.898671777903205 6144.627079458642584 0.908204517540147 6146.675629891235076 0.917740435286628 6148.724863287791777 0.927376500520764 6150.774779876000139 0.937139281229003 6152.825379883641290 0.946905316739946 6154.876663538552748 0.956674608138674 6156.928631068656614 0.966447156510674 6158.981282701940472 0.976222962941741 6161.034618666491042 0.986027222339369 6163.088639190449612 0.997738967970627 6165.143344502042055 1.009454618167826 6167.198734829560635 1.021174174232657 6169.254810401396753 1.032897637467377 6171.311571445995469 1.044625009174548 6173.369018191886425 1.056356290657216 6175.427150867673845 1.068233777552230 6177.485969702034708 1.080210105222718 6179.545474923737856 1.092190425667890 6181.605666761610337 1.104174740218852 6183.666545444564690 1.116163050207209 6185.728111201578940 1.128155356964945 6187.790364261729337 1.139004179873378 6189.853304854148519 1.145283335060531 6191.916933208052797 1.151564583648295 6193.981249552727604 1.157847926334567 6196.046254117553872 1.164133363817533 6198.111947131969828 1.170420896795555 6200.178328825497374 1.176710525967249 6202.245399427729353 1.181105593677106 6204.313159168350467 1.185071080951141 6206.381608277107262 1.189037890274598 6208.450746983827230 1.193006022088233 6210.520575518407895 1.196975476832936 6212.591094110843187 1.200946254949782 6214.662302991183424 1.204943403526822 6216.734202389563507 1.208973427464760 6218.806792536189278 1.213004794967915 6220.880073661360257 1.217037506484241 6222.954045995434171 1.221071562461801 6225.028709768853332 1.225106963348828 6227.104065212129171 1.229148477488771 6229.180112555869528 1.233243374076300 6231.256852030739537 1.237339635856878 6233.334283867488921 1.241437263285645 6235.412408296935610 1.245536256817879 6237.491225549996670 1.249636616909051 6239.570735857645559 1.253738344014745 6241.650939450937585 1.257672100533337 6243.731836561006276 1.261547260364675 6245.813427419057916 1.265423712131258 6247.895712256391562 1.269301456263823 6249.978691304366293 1.273180493193219 6252.062364794424866 1.277060823350453 6254.146732958078246 1.280454520777664 6256.231796026937445 1.283137888092598 6258.317554232669863 1.285822150012397 6260.404007807026574 1.288507306835313 6262.491156981826862 1.291193358859684 6264.579001988991877 1.293880306383981 6266.667543060497337 1.296560732166472 6268.756780428401726 1.299165487305062 6270.846714324838103 1.301771110840083 6272.937344982033210 1.304377603061063 6275.028672632272901 1.306984964257605 6277.120697507927616 1.309593194719415 6279.213419841436917 1.312202294736288 6281.306839865339498 1.314821774353744 6283.400957812230445 1.317444761689707 6285.495773914790334 1.320068623500521 6287.591288405768864 1.322693360077716 6289.687501518014869 1.325318971712946 6291.784413484434481 1.327945458697939 6293.882024538017504 1.330578122602107 6295.980334911825594 1.333217158815154 6298.079344839016812 1.335857074853575 6300.179054552808338 1.338497871010687 6302.279464286501934 1.341139547579913 6304.380574273474849 1.343782104854770 6306.482384747179822 1.346428765504684 6308.584895941161449 1.349088270529490 6310.688108089027082 1.351748662203738 6312.792021424466839 1.354409940823027 6314.896636181241774 1.357072106683045 6317.001952593212991 1.359735160079608 6319.107970894295249 1.362399101308598 6321.214691318492441 1.365053185041773 6323.322114099877581 1.367707546306063 6325.430239472620997 1.370362792504930 6327.539067670953955 1.373018923933393 6329.648598929189575 1.375675940886579 6331.758833481713737 1.378333843659703 6333.869771563010545 1.380504160260655 6335.981413407621403 1.382459628261488 6338.093759250174116 1.384415748193638 6340.206809325366521 1.386372520274444 6342.320563867995588 1.388329944721338 6344.435023112914678 1.390288021751805 6346.550187295066280 1.391631248075357 6348.666056649461098 1.392235101329582 6350.782631411208058 1.392839155901779 6352.899911815476116 1.393443411859062 6355.017898097518810 1.394047869268570 6357.136590492661526 1.394652528197465 6359.255989236326968 1.395250263931741 6361.376094563997867 1.395823997022383 6363.496906711241536 1.396397921389265 6365.618425913697138 1.396972037096156 6367.740652407102061 1.397546344206851 6369.863586427252812 1.398120842785158 6371.987228210030480 1.398695067738671 6374.111577991396189 1.399235857794298 6376.236636007381094 1.399776828143324 6378.362402494116395 1.400317978845858 6380.488877687792410 1.400859309962026 6382.616061824683129 1.401400821551978 6384.743955141136212 1.401942513675878 6386.872557873597543 1.402455815699918 6389.001870258572126 1.402962702006151 6391.131892532649545 1.403469757302649 6393.262624932493054 1.403976981645750 6395.394067694864134 1.404484375091817 6397.526221056581562 1.404991937697224 6399.659085254553247 1.405482576816803 6401.792660525756219 1.405963099860386 6403.926947107267551 1.406443783105016 6406.061945236225256 1.406924626604103 6408.197655149849197 1.407405630411072 6410.334077085435638 1.407886794579368 6412.471211280376338 1.408502112611345 6414.609057972124901 1.409282065505976 6416.747617398219518 1.410062278428240 6418.886889796272953 1.410842751464827 6421.026875403993472 1.411623484702459 6423.167574459150273 1.412404478227882 6425.308987199600779 1.412506810460402 6427.451113863271530 1.410916349513741 6429.593954688190934 1.409325358325058 6431.737509912444693 1.407733836717580 6433.881779774206734 1.406141784514472 6436.026764511728288 1.404549201538839 6438.172464363335166 1.402909775956405 6440.318879567450495 1.400975947585056 6442.466010362559246 1.399041474496803 6444.613856987231884 1.397106356476704 6446.762419680110725 1.395170593309752 6448.911698679938127 1.393234184780852 6451.061694225516476 1.391297130674852 6453.212406555734560 1.385988829837878 6455.363835909553018 1.380674103498644 6457.515982526033440 1.375357605288651 6459.668846644295627 1.370039334617196 6461.822428503548508 1.364719290893356 6463.976728343070135 1.359397473526035 6466.131746402243152 1.352395294235028 6468.287482920503862 1.345147888110599 6470.443938137381338 1.337898065781447 6472.601112292473772 1.330645826442064 6474.759005625482132 1.323391169286594 6476.917618376162864 1.316134093508996 6479.076950784364271 1.307369381608328 6481.237003090004691 1.298129141873863 6483.397775533103413 1.288885821546054 6485.559268353737934 1.279639419597901 6487.721481792077611 1.270389935002010 6489.884416088358194 1.261137366730705 6492.048071482920932 1.251510957313892 6494.212448216165285 1.241691139832977 6496.377546528578023 1.231868048533959 6498.543366660716856 1.222041682325423 6500.709908853243178 1.212212040115483 6502.877173346878408 1.202379120811983 6505.045160382427639 1.193405970938354 6507.213870200778729 1.185072420708489 6509.383303042893203 1.176736092165547 6511.553459149832634 1.168396984383216 6513.724338762719526 1.160055096434953 6515.895942122760971 1.151710427393887 6518.068269471241365 1.145932070217012 6520.241321049541511 1.142743445754528 6522.415097099107697 1.139553758240057 6524.589597861468064 1.136363007319191 6526.764823578228970 1.133171192637409 6528.940774491094089 1.129978313840049 6531.117450841829850 1.126719818930577 6533.294852872289994 1.123376291465399 6535.472980824399201 1.120031649305306 6537.651834940187655 1.116685892078647 6539.831415461741926 1.113339019413683 6542.011722631237717 1.109991030938540 6544.192756690924398 1.106591383207660 6546.374517883154112 1.103109457781530 6548.557006450335393 1.099626371520132 6550.740222634969541 1.096142124036452 6552.924166679628797 1.092656714943364 6555.108838826986357 1.089170143853580 6557.294239319777262 1.085695304594559 6559.480368400823863 1.082243775833275 6561.667226313022184 1.078791096370644 6563.854813299371017 1.075337265823009 6566.043129602927365 1.071882283806625 6568.232175466838271 1.068426149937605 6570.421951134324445 1.065073394392106 6572.612456848707552 1.061943156892549 6574.803692853370194 1.058811875806571 6576.995659391783192 1.055679550786251 6579.188356707498315 1.052546181483555 6581.381785044142816 1.049411767550337 6583.575944645443087 1.046449593800674 6585.770835755188273 1.043883098301285 6587.966458617255739 1.041315747160796 6590.162813475595613 1.038747540093957 6592.359900574262610 1.036178476815392 6594.557720157368749 1.033608557039660 6596.756272469117903 1.030820345372970 6598.955557753786707 1.027527639461685 6601.155576255752749 1.024233835798806 6603.356328219455463 1.020938934018365 6605.557813889425233 1.017642933754257 6607.760033510262474 1.014345834640274 6609.962987326672192 1.011418876540183 6612.166675583421238 1.009313021940629 6614.371098525362868 1.007206465272537 6616.576256397426732 1.005099206301851 6618.782149444643437 1.002991244794420 6620.988777912106343 1.000882580516030 6623.196142044996122 0.999061070645819 6625.404242088567116 0.997816675134349 6627.613078288179167 0.996571864755230 6629.822650889252145 0.995326639370153 6632.032960137292321 0.994080998840762 6634.244006277883273 0.992834943028655 6636.455789556711352 0.991569744534605 6638.668310219522937 0.990271671880815 6640.881568512153535 0.988973166464017 6643.095564680520511 0.987674228139933 6645.310298970616714 0.986374856764241 6647.525771628537768 0.985075052192557 6649.741982900441144 0.983902031513721 6651.958933032570712 0.982910852310399 6654.176622271248561 0.981919342658941 6656.395050862898643 0.980927502449173 6658.614219054004934 0.979935331570893 6660.834127091142363 0.978942829913860 6663.054775220961346 0.978031245024620 6665.276163690213252 0.977211677498852 6667.498292745712206 0.976391836738371 6669.721162634361463 0.975571722652086 6671.944773603140675 0.974751335148874 6674.169125899130449 0.973930674137576 6676.394219769474148 0.973359940132658 6678.620055461404263 0.973004873858260 6680.846633222229684 0.972649689208711 6683.073953299362074 0.972294386144543 6685.302015940273122 0.971938964626278 6687.530821392526377 0.971583424614427 6689.760369903759965 0.970106348487841 6691.990661721714787 0.967933526313255 6694.221697094195406 0.965759979743884 6696.453476269092789 0.963585708538224 6698.685999494377029 0.961410712454696 6700.919267018118262 0.959234991251621 6703.153279088453019 0.956501264818351 6705.388035953602412 0.953538343729785 6707.623537861867590 0.950574434836239 6709.859785061650655 0.947609537808373 6712.096777801416465 0.944643652316763 6714.334516329719918 0.941676778031867 6716.573000895199584 0.936296454391055 6718.812231746567704 0.930359903285946 6721.052209132642020 0.924421373000605 6723.292933302302117 0.918480862875214 6725.534404504516715 0.912538372249718 6727.776622988332747 0.906593900463854 6730.019589002897192 0.900738264895672 6732.263302797424330 0.894887678811392 6734.507764621213937 0.889035142206682 6736.752974723644002 0.883180654431279 6738.998933354196197 0.877324214834647 6741.245640762414041 0.871462189554248 6743.493097197932912 0.865536056711862 6745.741302910461854 0.859607948162616 6747.990258149817237 0.853677863247790 6750.239963165873633 0.847745801308509 6752.490418208600204 0.841811761685652 6754.741623528039781 0.835689324062195 6756.993579374340698 0.828787797069033 6759.246285997713130 0.821883969183411 6761.499743648456388 0.814977839638243 6763.753952576949814 0.808069407666196 6766.008913033674617 0.801158672499623 6768.264625269173848 0.796112919741220 6770.521089534082421 0.794639236198597 6772.778306079112554 0.793165061346249 6775.036275155080148 0.791690395020372 6777.294997012862041 0.790215237057118 6779.554471903428748 0.788739587292580 6781.814700077825364 0.789093109221894 6784.075681787202484 0.791245375479435 6786.337417282774368 0.793398359278645 6788.599906815843497 0.795552060858745 6790.863150637797844 0.797706480459034 6793.127149000102690 0.799861618318888 6795.391902154326999 0.802890071216012 6797.657410352103398 0.806336387107071 6799.923673845153644 0.809783851961575 6802.190692885278622 0.813232466162567 6804.458467724383809 0.816682230093248 6806.726998614437434 0.820133144136915 6808.996285807497770 0.822696038415960 6811.266329555700395 0.825115606087018 6813.537130111288207 0.827535980415076 6815.808687726563221 0.829957161669057 6818.081002653921132 0.832379150117979 6820.354075145835850 0.834804746824827 6822.627905454883148 0.837278839752962 6824.902493833705194 0.839753757516204 6827.177840535034193 0.842229500389546 6829.453945811677841 0.844706068648060 6831.730809916552971 0.847183462566938 6834.008433102634626 0.849038161236158 6836.286815622994254 0.849133982615492 6838.565957730778791 0.849229835940609 6840.845859679238856 0.849325721222161 6843.126521721689642 0.849421638470801 6845.407944111539109 0.849517587697187 6847.690127102271617 0.849371348854511 6849.973070947477026 0.848961615229542 6852.256775900807042 0.848551745003934 6854.541242216009778 0.848141738132143 6856.826470146912470 0.847731594568615 6859.112459947422394 0.847321314267779 6861.399211871554144 0.846629163466753 6863.686726173382340 0.845820312767531 6865.975003107076191 0.845011192406468 6868.264042926882212 0.844201802293664 6870.553845887150601 0.843392142339183 6872.844412242298858 0.842582212453064 6875.135742246831796 0.841735934788411 6877.427836155337900 0.840887360489205 6879.720694222505699 0.840038503284748 6882.014316703091026 0.839189363080726 6884.308703851940663 0.838339939782789 6886.603855923980518 0.837481743580936 6888.899773174239272 0.836588811406646 6891.196455857814726 0.835695581538684 6893.493904229891086 0.834802053877803 6895.792118545735320 0.833908228324726 6898.091099060718079 0.833014104780132 6900.390846030274588 0.833029722214005 6902.691359709931930 0.834116617791217 6904.992640355296317 0.835203875727341 6907.294688222078548 0.836291496143191 6909.597503566055821 0.837379479159609 6911.901086643096278 0.838467824897483 6914.205437709146281 0.839916668903514 6916.510557020259512 0.841497923652877 6918.816444832552406 0.843079705575014 6921.123101402235079 0.844662014845678 6923.430526985595861 0.846244851640677 6925.738721839029495 0.847827900523374 6928.047686218995295 0.849391299932107 6930.357420382044438 0.850955220560841 6932.667924584813591 0.852519662583345 6934.979199084018546 0.854084626173441 6937.291244136482419 0.855650111505025 6939.604059999091987 0.857129140767025 6941.917646928825889 0.858414815498673 6944.232005182743706 0.859700918859995 6946.547135018008703 0.860987450993900 6948.863036691852358 0.862274412043331 6951.179710461595278 0.863561802151284 6953.497156584639924 0.865355131758445 6955.815375318494262 0.867465645405388 6958.134366920729917 0.869576862674144 6960.454131649014016 0.871688783799292 6962.774669761090991 0.873801409015485 6965.095981514810774 0.875914738557469 6967.418067168092421 0.878357346775263 6969.740926978944117 0.880825156205764 6972.064561205454083 0.883293788376516 6974.388970105818771 0.885763243561827 6976.714153938299205 0.888233522036075 6979.040112961247360 0.890724769490069 6981.366847433097064 0.893274903086572 6983.694357612388558 0.895825886869305 6986.022643757727565 0.898377721121703 6988.351706127810758 0.900930406127301 6990.681544981417574 0.903483942169726 6993.012160577432951 0.906484237027805 6995.343553174806402 0.909789004939034 6997.675723032582027 0.913094874623185 7000.008670409889419 0.916401846447578 7002.342395565938205 0.919709920779643 7004.676898760044423 0.923019097986963 7007.012180251592326 0.926608915481333 7009.348240300056204 0.930216774053822 7011.685079164990384 0.933825835446282 7014.022697106059240 0.937436100059743 7016.361094382990814 0.941047568295335 7018.700271255606822 0.944688741105932 7021.040227983808109 0.948397040831350 7023.380964827604657 0.952106576862726 7025.722482047071935 0.955817349612223 7028.064779902377268 0.959529359492146 7030.407858653768926 0.963242606914928 7032.751718561604321 0.968084820525682 7035.096359886304526 0.973481126570056 7037.441782888385205 0.978879231682939 7039.787987828442056 0.984279136464105 7042.134974967178096 0.989680841513575 7044.482744565363646 0.995114722254955 7046.831296883860887 1.001114712883507 7049.180632183613852 1.007116703842287 7051.530750725672988 1.013120695798218 7053.881652771156951 1.019126689418395 7056.233338581275348 1.025134685370146 7058.585808417321459 1.030643977140867 7060.939062540693158 1.035521500717389 7063.293101212857437 1.040400650406109 7065.647924695373149 1.045281426749151 7068.003533249881002 1.050163830288811 7070.359927138128114 1.055047861567605 7072.717106621930725 1.056589806609360 7075.075071963197843 1.057506152306656 7077.433823423923968 1.058422803503433 7079.793361266185457 1.059339760301535 7082.153685752168712 1.060257022802855 7084.514797144123804 1.061171316562518 7086.876695704398117 1.062076274738540 7089.239381695415432 1.062981534617565 7091.602855379712310 1.063887096300184 7093.967117019889884 1.064792959887012 7096.332166878642965 1.065699125478700 7098.698005218747312 1.066981943941064 7101.064632303089638 1.068446223825339 7103.432048394620324 1.069910991884267 7105.800253756386155 1.071376248280600 7108.169248651513044 1.072841993177139 7110.539033343238771 1.074420523921643 7112.909608094863870 1.076934354573261 7115.280973169785284 1.079449023308102 7117.653128831482718 1.081964530405568 7120.026075343541379 1.084480876145172 7122.399812969616505 1.086998060806503 7124.774341973456103 1.088501655574772 7127.149662618889124 1.089174282013052 7129.525775169854569 1.089847132697520 7131.902679890357831 1.090520207702934 7134.280377044499801 1.091193507104080 7136.658866896461404 1.091865666938542 7139.038149710533617 1.091922452660954 7141.418225751074715 1.091979257315095 7143.799095282536655 1.092036080907277 7146.180758569454156 1.092092923443814 7148.563215876471077 1.092149784931022 7150.946467468295850 1.092175638699318 7153.330513609736045 1.092165806646350 7155.715354565685629 1.092155971315484 7158.100990601118610 1.092146132705629 7160.487421981120860 1.092136290815690 7162.874648970843737 1.092126445644575 7165.262671835535002 1.092084492691201 7167.651490840524275 1.092040407493920 7170.041106251248493 1.091996307599124 7172.431518333213717 1.091952193001913 7174.822727352022412 1.091908063697385 7177.214733573356170 1.091853123120972 7179.607537263008453 1.091783333300343 7182.001138686839113 1.091713520212563 7184.395538110803500 1.091643683849874 7186.790735800938819 1.091573824204518 7189.186732023392324 1.091503941268732 7191.583527044379480 1.091146437508949 7193.981121130211250 1.090761980197675 7196.379514547277722 1.090377394712604 7198.778707562082673 1.089992681011002 7201.178700441196270 1.089607839050124 7203.579493451283270 1.088654278866623 7205.981086859093011 1.086908926427355 7208.383480931482154 1.085162992106962 7210.786675935376479 1.083416475711455 7213.190672137798174 1.081669377046776 7215.595469805849461 1.079921695918810 7218.001069206746251 1.078248027383222 7220.407470607769028 1.076579280010420 7222.814674276295591 1.074909976295776 7225.222680479793780 1.073240116053811 7227.631489485812381 1.071569699098989 7230.041101562010226 1.069788514961042 7232.451516976117091 1.067874749535993 7234.862735995954608 1.065960346082805 7237.274758889429904 1.064045304388770 7239.687585924559244 1.062129624241095 7242.101217369428014 1.060213305426932 7244.515653492218007 1.057419577260090 7246.930894561191053 1.054614771475914 7249.346940844723576 1.051809030600627 7251.763792611255667 1.049002354322492 7254.181450129328368 1.046194742329652 7256.599913667562760 1.042420112375032 7259.019183494690878 1.037794162579096 7261.439259879513884 1.033166670542868 7263.860143090928432 1.028537635752184 7266.281833397913942 1.023907057692722 7268.704331069563523 1.019331137757641 7271.127636375034854 1.015356382198380 7273.551749583584751 1.011380301499755 7275.976670964550067 1.007402895219993 7278.402400787383158 1.003424162917134 7280.828939321602775 0.999444104149106 7283.256286836822255 0.996175296694235 7285.684443602739520 0.993291680033815 7288.113409889166178 0.990407102007613 7290.543185965979319 0.987521562295130 7292.973772103154261 0.984635060575751 7295.405168570748174 0.981486602149790 7297.837375638931007 0.977419858787703 7300.270393577940922 0.973351759618541 7302.704222658113395 0.969282304190291 7305.138863149873032 0.965211492050794 7307.574315323729934 0.961139322747746 7310.010579450302430 0.957822914951154 7312.447655800280700 0.954689563363052 7314.885544644450420 0.951555167150328 7317.324246253680030 0.948419725964723 7319.763760898952569 0.945283239457836 7322.204088851317465 0.942154819395675 7324.645230381921465 0.939039200509480 7327.087185761995897 0.935922542910558 7329.529955262883050 0.932804846252593 7331.973539155996150 0.929686110189183 7334.417937712842104 0.926566334373804 7336.863151205016038 0.923378317094882 7339.309179904220400 0.920189189890366 7341.756024082231306 0.916998999466255 7344.203684010917641 0.913807745468084 7346.652159962236510 0.910615427541278 7349.101452208255068 0.907429627731911 7351.551561021108682 0.904247587522141 7354.002486673032763 0.901064486455502 7356.454229436343667 0.897880324178325 7358.906789583473255 0.894695100336795 7361.360167386920693 0.891637904678317 7363.814363119282461 0.889004702597200 7366.269377053240532 0.886370622635758 7368.725209461588747 0.883735664501300 7371.181860617190978 0.881099827901060 7373.639330793006593 0.878463112542169 7376.097620262081364 0.874687707089781 7378.556729297573838 0.870732379876482 7381.016658172709867 0.866775734001016 7383.477407160816256 0.862817769023751 7385.938976535308029 0.858858484504917 7388.401366569686616 0.855528872138810 7390.864577537565310 0.852816250911996 7393.328609712627440 0.850102725327388 7395.793463368653647 0.847388295083484 7398.259138779509158 0.844672959878688 7400.725636219171975 0.842023403475686 7403.192955961691951 0.839734753204242 7405.661098281214436 0.837445339922213 7408.130063451970273 0.835155163375227 7410.599851748303990 0.832864223308804 7413.070463444628331 0.830572519468405 7415.541898815456079 0.828478801145576 7418.014158135384605 0.826429319548085 7420.487241679123144 0.824379154676184 7422.961149721451875 0.822328306302080 7425.435882537249199 0.820276774197904 7427.911440401478103 0.818212197417660 7430.387823589216168 0.816133809581233 7432.865032375608280 0.814054728833381 7435.343067035900276 0.811974954943097 7437.821927845422579 0.809894487679299 7440.301615079618387 0.808025727023868 7442.782129014001839 0.807239188651668 7445.263469924184392 0.806452388056309 7447.745638085863902 0.805665325150371 7450.228633774851914 0.804877999846398 7452.712457267029095 0.804090412056912 7455.197108838375243 0.803990797400091 7457.682588764963839 0.804010394310401 7460.168897322952034 0.804029997754103 7462.656034788609759 0.804049607733376 7465.144001438279702 0.804069224250398 7467.632797548400958 0.803321941895104 7470.122423395500846 0.801947021070972 7472.612879256217639 0.800571641863501 7475.104165407263281 0.799195804119876 7477.596282125445214 0.797819507687226 7480.089229687659099 0.796804050602784 7482.583008370913376 0.796832120612996 7485.077618452287425 0.796860199981438 7487.573060208959760 0.796888288711229 7490.069333918195298 0.796916386805491 7492.566439857371734 0.796944494267346 7495.064378303937701 0.797065653344363 7497.563149535442790 0.797189380400096 7500.062753829520261 0.797313148705054 7502.563191463918884 0.797436958272991 7505.064462716457456 0.797560809117664 7507.566567865054822 0.797675563665833 7510.069507187716226 0.797786425689137 7512.573280962559693 0.797897324672609 7515.077889467776004 0.798008260628571 7517.583332981654166 0.798119233569349 7520.089611782569591 0.798224599174188 7522.596726149012284 0.798322643563509 7525.104676359544101 0.798420720639740 7527.613462692825124 0.798518830413780 7530.123085427601836 0.798616972896528 7532.633544842737138 0.798488596820379 7535.144841217163048 0.797316440240022 7537.656974829912542 0.796143892875678 7540.169945960111363 0.794970954597064 7542.683754886969837 0.793797625273857 7545.198401889818342 0.792623904775679 7547.713887248050924 0.791411151011844 7550.230211241168945 0.790195161309531 7552.747374148753806 0.788978766209758 7555.265376250507870 0.787761965577364 7557.784217826199892 0.786544759277151 7560.303899155701401 0.784395830848958 7562.824420518969418 0.781835981576148 7565.345782196078289 0.779275278878008 7567.867984467170572 0.776713722470025 7570.391027612490689 0.774151312067582 7572.914911912369462 0.772217924043398 7575.439637647254131 0.771006057526677 7577.965205097661965 0.769793786987116 7580.491614544212098 0.768581112290019 7583.018866267607336 0.767368033300650 7585.546960548670540 0.766195683374333 7588.075897668291873 0.765148591933587 7590.605677907466088 0.764101151404181 7593.136301547270705 0.763053361669738 7595.667768868903295 0.762005222613829 7598.200080153627823 0.760961861276104 7600.733235682813756 0.760053622973520 7603.267235737915144 0.759145081874373 7605.802080600502450 0.758236237877711 7608.337770552217989 0.757327090882553 7610.874305874805032 0.756417640787883 7613.411686850092337 0.755651466838636 7615.949913760026902 0.754913348632645 7618.488986886626662 0.754174984346241 7621.028906512010508 0.753436373897384 7623.569672918391916 0.752697517204005 7626.111286388069857 0.752683265892642 7628.653747203462444 0.753071231561614 7631.197055647056914 0.753459326574033 7633.741212001443273 0.753847550973018 7636.286216549297933 0.754235904801706 7638.832069573414628 0.754147998529882 7641.378771356657126 0.753500692691492 7643.926322181993783 0.752853171048523 7646.474722332477540 0.752205433529031 7649.023972091278665 0.751557480061042 7651.574071741641092 0.751210379193649 7654.125021566907890 0.751615860490175 7656.676821850510350 0.752021476969661 7659.229472875997089 0.752427228677179 7661.782974926989482 0.752833115657810 7664.337328287208948 0.753510471256266 7666.892533240465127 0.756170504469579 7669.448590070684986 0.758831424508433 7672.005499061867340 0.761493231668479 7674.563260498112868 0.764155926245473 7677.121874663609560 0.766819508535261 7679.681341842663642 0.769858659662380 7682.241662319653187 0.772912837721470 7684.802836379056316 0.775968034009607 7687.364864305442097 0.779024248866250 7689.927746383495105 0.782081482630996 7692.491482897972674 0.785877710281497 7695.056074133733091 0.789841254922271 7697.621520375732871 0.793806120964816 7700.187821909012200 0.797772308849657 7702.754979018732229 0.801739819017506 7705.322991990124137 0.806068681226437 7707.891861108523699 0.810570351133448 7710.461586659352179 0.815073521847200 7713.032168928149986 0.819578193868075 7715.603608200530289 0.824084367696577 7718.175904762208120 0.827886611698736 7720.749058898986732 0.831107121757770 7723.323070896788522 0.834328705499105 7725.897941041605009 0.837551363280682 7728.473669619534121 0.840775095460576 7731.050256916761100 0.843008393020579 7733.627703219586692 0.843907913975631 7736.206008814388042 0.844807734820980 7738.785173987642338 0.845707855656607 7741.365199025915899 0.846608276582522 7743.946084215894189 0.847775918553924 7746.527829844334519 0.849527762268453 7749.110436198096977 0.851280190028221 7751.693903564130778 0.853033202027940 7754.278232229502464 0.854786798462396 7756.863422481353155 0.856541508915656 7759.449474606924923 0.858298796576327 7762.036388893548974 0.860056670097185 7764.624165628676565 0.861815129673559 7767.212805099831712 0.863574175500828 7769.802307594638478 0.865334119267486 7772.392673400813692 0.867097051613150 7774.983902806190599 0.868860571700886 7777.575996098676114 0.870624679726636 7780.168953566279924 0.872389375886411 7782.762775497109033 0.874153493659676 7785.357462179357753 0.875878140556585 7787.953013901339546 0.877603362431621 7790.549430951443355 0.879329159476474 7793.146713618157264 0.881055531882895 7795.744862190063031 0.882782479842701 7798.343876955857013 0.882681218727815 7800.943758204312871 0.882484470457053 7803.544506224305223 0.882287656592603 7806.146121304798726 0.882090777112597 7808.748603734876269 0.881893831995157 7811.351953803696233 0.881704069409201 7813.956171800519769 0.881515222021332 7816.561258014694431 0.881326311673841 7819.167212735692374 0.881137338345738 7821.774036253054874 0.880948302016025 7824.381728856430527 0.879988693570529 7826.990290835552514 0.878859953938291 7829.599722480279524 0.877730837996790 7832.210024080538460 0.876601345620574 7834.821195926364453 0.875471476684142 7837.433238307878128 0.874372790539149 7840.046151515323800 0.873283270086353 7842.659935839016725 0.872193386399538 7845.274591569376753 0.871103139357605 7847.890118996913770 0.870012528839419 7850.506518412257719 0.868899795869892 7853.123790106112210 0.867778408411239 7855.741934369284536 0.866656647094459 7858.360951492680215 0.865534511794913 7860.980841767292077 0.864412002387924 7863.601605484236643 0.863268210503343 7866.223242934700465 0.862114598918875 7868.845754409977417 0.860960602733115 7871.469140201449591 0.859806221817845 7874.093400600620043 0.858651456044794 7876.718535899064591 0.857152637609136 7879.344546388466370 0.855477952071095 7881.971432360595827 0.853802708211497 7884.599194107344374 0.852126905844195 7887.227831920678000 0.850450544782994 7889.857346092668195 0.848269689529657 7892.487736915474670 0.845809150827630 7895.119004681379010 0.843347791809316 7897.751149682737378 0.840885612201238 7900.384172212007797 0.838422611729822 7903.018072561742883 0.835718911019311 7905.652851024613483 0.832875604421550 7908.288507893364113 0.830031349896945 7910.925043460845700 0.827186147129466 7913.562458019999212 0.824339995802990 7916.200751863886580 0.821684285008565 7918.839925285643403 0.819139172061931 7921.479978578511691 0.816593210602903 7924.120912035820766 0.814046400348606 7926.762725951026368 0.811498741016044 7929.405420617653363 0.808856884777144 7932.048996329335750 0.806161304141881 7934.693453379795756 0.803464824829975 7937.338792062877474 0.800767446541804 7939.985012672499579 0.798069168977666 7942.632115502687157 0.795229829686995 7945.280100847562608 0.792315208821156 7947.928969001338373 0.789399616253096 7950.578720258348767 0.786483051658843 7953.229354913002680 0.783565514714343 7955.880873259816326 0.780610246171038 7958.533275593393228 0.777636424869300 7961.186562208460600 0.774661612128556 7963.840733399822057 0.771685807618279 7966.495789462383982 0.768709011007824 7969.151730691144621 0.765343851041146 7971.808557381225000 0.761817851711635 7974.466269827819815 0.758290676853103 7977.124868326231081 0.754762326073643 7979.784353171849943 0.751232798981225 7982.444724660190332 0.746725700399851 7985.105983086842571 0.741887636550234 7987.768128747500668 0.737047959743857 7990.431161937951401 0.732206669442991 7993.095082954102509 0.727363765109687 7995.759892091938127 0.720694708178926 7998.425589647546985 0.713554502416254 8001.092175917111490 0.706411916188290 8003.759651196933191 0.699266948701377 8006.428015783391857 0.692119599161646 8009.097269972970935 0.681098722111289 8011.767414062247553 0.669399240169533 8014.438448347918893 0.657695857750389 8017.110373126760351 0.645988573553507 8019.783188695651006 0.634277386278085 8022.456895351562707 0.623469634097770 8025.131493391590084 0.612741842317343 8027.806983112903254 0.602010474010266 8030.483364812778746 0.591275527984164 8033.160638788591314 0.580537003046272 8035.838805337808481 0.574530099966753 8038.517864758019641 0.568579127492755 8041.197817346891497 0.562626171030618 8043.878663402196253 0.556671229918902 8046.560403221796150 0.550708535940895 8049.243037103679853 0.544665076737555 8051.926565345908784 0.538619602712029 8054.610988246654415 0.532572113192596 8057.296306104175528 0.526522607507335 8059.982519216859146 0.520370374931497 8062.669627883163230 0.513673599658948 8065.357632401657611 0.506974591755888 8068.046533070999430 0.500273350478007 8070.736330189972250 0.493569875080681 8073.427024057435119 0.486860840275407 8076.118614972353498 0.480139750918881 8078.811103233784706 0.473416420825822 8081.504489140910664 0.466690849249150 8084.198772992987870 0.459963035441603 8086.893955089381052 0.452852913805992 8089.590035729547708 0.445056939321408 8092.287015213068116 0.437258365745481 8094.984893839598044 0.429457192211728 8097.683671908903307 0.421653417853347 8100.383349720837941 0.413725079490443 8103.083927575384223 0.405656415440403 8105.785405772597187 0.397585061387372 8108.487784612641008 0.389511016434532 8111.191064395780813 0.381434279684766 8113.895245422372682 0.376916264740470 8116.600327992896382 0.374871075102002 8119.306312407909900 0.372825203620020 8122.013198968077631 0.370778650067205 8124.720987974155832 0.368731414216169 8127.429679727028088 0.366719114405628 8130.139274527649832 0.364720111808455 8132.849772677089277 0.362720442766013 8135.561174476502856 0.360720107056126 8138.273480227175241 0.358719104456521 8140.986690230463864 0.357823226830297 8143.700804787838933 0.357115384554041 8146.415824200857969 0.356407306291033 8149.131748771207640 0.355698991962593 8151.848578800649193 0.354990441490022 8154.566314591052105 0.354823419919524 8157.284956444379532 0.354657150472689 8160.004504662718318 0.354490825593466 8162.724959548232619 0.354324445263376 8165.446321403195725 0.354184828305808 8168.168590529971880 0.354196712355131 8170.891767231052654 0.354208600366465 8173.615851809005107 0.354220492341129 8176.340844566505439 0.354232388280446 8179.066745806320796 0.354724667344981 8181.793555831347476 0.356286171661561 8184.521274944555444 0.357848196566339 8187.249903449024714 0.359410742232874 8189.979441647928070 0.360973808834779 8192.709889844563804 0.362531492377965 8195.441248342305698 0.364083235048093 8198.173517444640311 0.365635495051995 8200.906697455151516 0.367188272562145 8203.640788677519595 0.368741567751070 8206.375791415544882 0.370286730260959 8209.111705973113203 0.371827806570526 8211.848532654212249 0.373369396657820 8214.586271762926117 0.374911500694126 8217.324923603464413 0.376454118850797 8220.064488480114960 0.380137027121579 8222.804966697271084 0.384241543696820 8225.546358559424334 0.388347428672297 8228.288664371189952 0.392454682504241 8231.031884437259578 0.396571889220830 8233.776019062435807 0.401005238208443 8236.521068551614007 0.405440065225362 8239.267033209818692 0.409876370764377 8242.013913342145315 0.414314155318392 8244.761709253803929 0.418812274838454 8247.510421250097352 0.423514680975443 8250.260049636453914 0.428218654842431 8253.010594718380162 0.432924196962070 8255.762056801491781 0.437631307857196 8258.514436191500863 0.446800988447198 8261.267733194239554 0.461862295011389 8264.021948115623672 0.476928622847932 8266.777081261678177 0.491999973630871 8269.533132938520794 0.507076349034755 8272.290103452392941 0.522133353529888 8275.047993109619711 0.537181937131911 8277.806802216631695 0.552235537764593 8280.566531079954075 0.567294157100505 8283.327180006242997 0.582357796812933 8286.088749302225551 0.597354081956866 8288.851239274745240 0.612344184021762 8291.614650230745610 0.627339283620229 8294.378982477261161 0.642339382418328 8297.144236321459175 0.654136633965288 8299.910412070579696 0.635430575261169 8302.677510031977363 0.616718280164803 8305.445530513099584 0.597999746597101 8308.214473821519277 0.579274972478123 8310.984340264887578 0.575794292934202 8313.755130150970217 0.603042749872799 8316.526843787623875 0.630300291144272 8319.299481482830743 0.657566919777375 8322.073043544656684 0.684842638801685 8324.847530281273066 0.710713897761383 8327.622942000949479 0.735552234971244 8330.399279012079205 0.760398853006964 8333.176541623139201 0.785253754629233 8335.954730142711924 0.810116942599686 8338.733844879476237 0.823866773939169 8341.513886142240153 0.835301212938425 8344.294854239889901 0.846739464052669 8347.076749481420848 0.858181528552814 8349.859572175922949 0.869622005274245 8352.643322632618947 0.881009273416276 8355.428001160802523 0.892400337947045 8358.213608069883776 0.903795200132232 8361.000143669365571 0.915193861237896 8363.787608268879922 0.926538015753557 8366.576002178138879 0.937779143146631 8369.365325706961812 0.949024018206743 8372.155579165273593 0.960272642183326 8374.946762863093682 0.971525016326190 8377.738877110572503 0.983377462470025 8380.531922217933243 0.995588319990344 8383.325898495517322 1.007803248474964 8386.120806253757110 1.020022249281059 8388.916645803214124 1.032245323766366 8391.713417454529917 1.047623642973397 8394.511121518457003 1.063323643735773 8397.309758305840660 1.079028878704000 8400.109328127660774 1.094739349623216 8402.909831294968171 1.110372665419738 8405.711268118933731 1.125676638273582 8408.513638910817463 1.140985713301975 8411.316943982012162 1.156299892206027 8414.121183643987024 1.171619176687261 8416.926358208324018 1.184358587173791 8419.732467986699703 1.194453292438905 8422.539513290925242 1.204551363166695 8425.347494432880922 1.214652800479120 8428.156411724567079 1.224757605498569 8430.966265478076821 1.234958207413943 8433.777056005634222 1.245185670348988 8436.588783619539754 1.255416543006599 8439.401448632206666 1.265650826523538 8442.215051356146432 1.275840682762218 8445.029592103997857 1.285641147555717 8447.845071188479778 1.295444879715346 8450.661488922421995 1.305251880330405 8453.478845618752530 1.315062150490535 8456.297141590526735 1.323854038591483 8459.116377150881817 1.331277107105193 8461.936552613065942 1.338702650387514 8464.757668290430956 1.346130669263504 8467.579724496425115 1.353561164558476 8470.402721544627639 1.357187487152554 8473.226659748697784 1.359562877584784 8476.051539422405767 1.361939059945806 8478.877360879618209 1.364316034499633 8481.704124434332698 1.366682771110157 8484.531830400623221 1.368932139336730 8487.360479092683818 1.371182257477693 8490.190070824797658 1.373433125783049 8493.020605911378880 1.375684744502908 8495.852084666927112 1.377881224187147 8498.684507406049306 1.380002971135662 8501.517874443448818 1.382125425451040 8504.352186093963610 1.384248587369123 8507.187442672508041 1.386372457125813 8510.023644494109249 1.388393251581165 8512.860791873894414 1.390384217782213 8515.698885127118047 1.392375847749289 8518.537924569116512 1.394368141703680 8521.377910515335316 1.396419090385265 8524.218843281323643 1.398867805835097 8527.060723182756192 1.401317337659475 8529.903550535389513 1.403767686130561 8532.747325655091117 1.406218851520616 8535.592048857830378 1.408196112286559 8538.437720459703996 1.409678257494074 8541.284340776886893 1.411160896832342 8544.131910125674040 1.412644030466102 8546.980428822458634 1.414127658560145 8549.829897183735739 1.415512246941243 8552.680315526129561 1.416880834759954 8555.531684166346167 1.418249878850646 8558.384003421202578 1.419619379365435 8561.237273607614043 1.421847163095324 8564.091495042630413 1.426881996021112 8566.946668043376121 1.431918507504283 8569.802792927095652 1.436956698104456 8572.659870011124440 1.441996568381409 8575.517899612932524 1.447995598238006 8578.376882050073618 1.454590313872658 8581.236817640210575 1.461187228112270 8584.097706701104471 1.467786341689808 8586.959549550649172 1.474404781070725 8589.822346506820395 1.483274652378783 8592.686097887704818 1.492147480803434 8595.550804011490982 1.501023267330528 8598.416465196492936 1.509902012946305 8601.283081761112044 1.521453448779946 8604.150654023860625 1.536933475556493 8607.019182303347407 1.552418663202009 8609.888666918317540 1.567909013437177 8612.759108187592574 1.583404527983093 8615.630506430110472 1.586511580591600 8618.502861964907424 1.586698059170675 8621.376175111150587 1.586884599919638 8624.250446188088972 1.587071202859215 8627.125675515086186 1.587029482347821 8630.001863411602244 1.586181019701812 8632.879010197231764 1.585332274187776 8635.757116191649402 1.584483245711411 8638.636181714644408 1.583633934178380 8641.516207086113354 1.582722237895738 8644.397192626049218 1.581775160069479 8647.279138654581402 1.580827766497988 8650.162045491913887 1.579880057076000 8653.045913458372524 1.578690641734278 8655.930742874375937 1.573998030142914 8658.816534060479171 1.569303854086943 8661.703287337319125 1.564608113044800 8664.591003025643658 1.559910806494741 8667.479681446302493 1.555202235106799 8670.369322920276318 1.550482270338154 8673.259927768627676 1.545760731985671 8676.151496312537347 1.541037619524730 8679.044028873278876 1.536312932430560 8681.937525772262234 1.531575387484336 8684.831987330981065 1.526835493489214 8687.727413871041790 1.522094019266068 8690.623805714147238 1.517350964288087 8693.521163182138480 1.512380870147038 8696.419486596932984 1.507044908558623 8699.318776280570091 1.501707168019866 8702.219032555181911 1.496367647937707 8705.120255743036978 1.491026347718831 8708.022446166485679 1.483964190488807 8710.925604147992999 1.476561205462058 8713.829730010122148 1.469155752362335 8716.734824075572760 1.461747830366763 8719.640886667124505 1.454353029490663 8722.547918107671649 1.446992933399854 8725.455918720210320 1.439630383534764 8728.364888827869436 1.432265379077285 8731.274828753857946 1.424897919209110 8734.185738821503037 1.417170143452353 8737.097619354239214 1.409328252053605 8740.010470675599208 1.401483746255373 8742.924293109252176 1.393636625185996 8745.839086978947307 1.385406681389489 8748.754852608550209 1.375943786987460 8751.671590322024713 1.366477737761555 8754.589300443471075 1.357008532659931 8757.507983297073224 1.347536170630474 8760.427639207124230 1.337947001748147 8763.348268498026300 1.328309694991642 8766.269871494308973 1.318669175264057 8769.192448520585458 1.309025441494257 8772.115999901587202 1.299326886956667 8775.040525962145693 1.289423685253750 8777.966027027225209 1.279517181933329 8780.892503421871879 1.269607375894714 8783.819955471250069 1.259694266036814 8786.748383500624186 1.250610236657960 8789.677787835391428 1.241883219987527 8792.608168801032662 1.233153293826650 8795.539526723146992 1.224420457205334 8798.471861927429927 1.215488851898092 8801.405174739717040 1.205765597419718 8804.339465485920300 1.196039101316281 8807.274734492073549 1.186309362507054 8810.210982084308853 1.176576379910985 8813.148208588892885 1.166911255899263 8816.086414332177810 1.157272443640054 8819.025599640626751 1.147630417907884 8821.965764840819247 1.137985177631405 8824.906910259429424 1.128460389386450 8827.849036223269650 1.119368701260619 8830.792143059234149 1.110273982066929 8833.736231094335380 1.101176230794855 8836.681300655684026 1.092075446433566 8839.627352070529014 1.084202024899248 8842.574385666201124 1.076754084080227 8845.522401770145734 1.069303660200450 8848.471400709913723 1.061850752432109 8851.421382813188757 1.054410904204693 8854.372348407736354 1.047010695292827 8857.324297821443906 1.039608019233487 8860.277231382295213 1.032202875204179 8863.231149418414134 1.024795262382058 8866.186052258002746 1.017456526051527 8869.141940229383181 1.010132744152439 8872.098813660979431 1.002806520585819 8875.056672881350096 0.995477854537599 8878.015518219139267 0.988580466491997 8880.975350003105632 0.982504572089681 8883.936168562111561 0.976426652051661 8886.897974225154030 0.970346705702578 8889.860767321315507 0.964264732366896 8892.824548179791236 0.957215832135411 8895.789317129883784 0.950048401300617 8898.755074501030322 0.942878580923954 8901.721820622751693 0.935706370208794 8904.689555824681520 0.928566609040821 8907.658280436564382 0.921467620257260 8910.627994788272190 0.914366264749656 8913.598699209767801 0.907262541728982 8916.570394031128671 0.900157175602692 8919.543079582541395 0.893144926667942 8922.516756194296249 0.886130339927291 8925.491424196819935 0.879113414601295 8928.467083920622827 0.872094149910316 8931.443735696333533 0.865133855089139 8934.421379854680708 0.858216585275411 8937.400016726533067 0.851297009320721 8940.379646642841180 0.844375126456248 8943.360269934673852 0.837466799761289 8946.341886933205387 0.830646957764038 8949.324497969741060 0.823824842107182 8952.308103375675273 0.817000452032723 8955.292703482517027 0.810173786782403 8958.278298621884460 0.804226757104264 8961.264889125523041 0.798605361974975 8964.252475325271007 0.792982092734972 8967.241057553081191 0.787356948759450 8970.230636141008290 0.781410842916768 8973.221211421247062 0.774772196987746 8976.212783726074122 0.768131337807893 8979.205353387886134 0.761488264639336 8982.198920739183450 0.754842976743972 8985.193486112599203 0.922356767823792 8988.189049840857479 1.107267243274365 8991.185612256796958 1.292239365824019 8994.183173693360004 1.477273156024655 8997.181734483627224 1.564287570714639 9000.181294960762898 1.556821004149916 9003.181855458051359 1.549351948314817 9006.183416308880624 1.541880402379466 9009.185977846773312 1.534538418955381 9012.189540405341177 1.528204356237503 9015.194104318310565 1.521868181813457 9018.199669919522421 1.515529894979222 9021.206237542921372 1.509189495030559 9024.213807522586649 1.503842067188179 9027.222380192682976 1.498864092580653 9030.231955887498771 1.493884458371671 9033.242534941420672 1.488903164007957 9036.254117688977203 1.483924459240271 9039.266704464776922 1.478952078309745 9042.280295603553895 1.473978039642634 9045.294891440140418 1.469002342686284 9048.310492309512483 1.464024986887806 9051.327098546726120 1.459225652038568 9054.344710486959229 1.454429709509050 9057.363328465495215 1.449632168065564 9060.382952817752084 1.444833027175023 9063.403583879235157 1.439917759370865 9066.425221985569806 1.434926021381920 9069.447867472485086 1.429932619202978 9072.471520675848296 1.424937552279185 9075.496181931612227 1.419942911930920 9078.521851575849723 1.414953120952586 9081.548529944739130 1.409961666433364 9084.576217374593398 1.404968547818622 9087.604914201814609 1.399973764553581 9090.634620762924897 1.394975422924402 9093.665337394548260 1.389975175268013 9096.697064433450578 1.384973260584567 9099.729802216479584 1.379969678318313 9102.763551080608522 1.374959429546437 9105.798311362917957 1.369943226757211 9108.834083400595773 1.364925351621695 9111.870867530968098 1.359905803582317 9114.908664091446553 1.354882383419642 9117.947473419562812 1.349848251897483 9120.987295852955867 1.344812442051791 9124.028131729399320 1.339774953323005 9127.069981386755899 1.334735785151417 9130.112845163008387 1.329683104588233 9133.156723396243251 1.324626799774055 9136.201616424688837 1.319568809243986 9139.247524586657164 1.314509132436042 9142.294448220582126 1.309473425114387 9145.342387664999478 1.304458896216542 9148.391343258592315 1.299442695530429 9151.441315340120127 1.294424822498714 9154.492304248471555 1.289386650633999 9157.544310322633464 1.284274486542148 9160.597333901736420 1.279160618111544 9163.651375324998298 1.274045044773993 9166.706434931757030 1.268927765961098 9169.762513061450591 1.263791677599105 9172.819610053666111 1.258651698213538 9175.877726248068939 1.253510005215925 9178.936861984451753 1.248366598034963 9181.997017602707274 1.243208668541683 9185.058193442873744 1.238039567356878 9188.120389845069440 1.232868742851144 9191.183607149541785 1.227696194449939 9194.247845696636432 1.222699233160961 9197.313105826844549 1.218180120295805 9200.379387880739159 1.213659500808606 9203.446692199020617 1.209137374197071 9206.515019122500235 1.204613739958740 9209.584368992091186 1.202317851891187 9212.654742148853984 1.200088431134962 9215.726138933930997 1.197858267114614 9218.798559688590103 1.195627359582347 9221.872004754197405 1.193406818180531 9224.946474472271802 1.191190822822729 9228.021969184406771 1.188974088676685 9231.098489232324937 1.186756615496094 9234.176034957852607 1.184526750762950 9237.254606702959791 1.182277964315614 9240.334204809700168 1.180028428147849 9243.414829620249293 1.177778142009708 9246.496481476891859 1.175526881792935 9249.579160722050801 1.173273055853582 9252.662867698236369 1.171018478513691 9255.747602748084319 1.168763149522750 9258.833366214332273 1.166507068630176 9261.920158439861552 1.164249137523005 9265.007979767640791 1.161990236707444 9268.096830540760493 1.159730582799436 9271.186711102418485 1.157470175547914 9274.277621795950836 1.155208819407807 9277.369562964784564 1.152946559815276 9280.462534952466740 1.150683546010520 9283.556538102653576 1.148419777742100 9286.651572759143164 1.146156106167082 9289.747639265815451 1.143893631576835 9292.844737966679531 1.141630402702684 9295.942869205857278 1.139366419293160 9299.042033327576064 1.137101879672789 9302.142230676206964 1.134840592555152 9305.243461596206544 1.132578551549500 9308.345726432155061 1.130315756404498 9311.449025528740094 1.128052206868730 9314.553359230792921 1.125752110231594 9317.658727883226675 1.123442111462998 9320.765131831085455 1.121131342566463 9323.872571419513406 1.118819803285248 9326.981046993802011 1.116532964713472 9330.090558899328244 1.114266024373744 9333.201107481592771 1.111998328261282 9336.312693086203581 1.109729876124124 9339.425316058908720 1.107463923827203 9342.538976745549007 1.105204341969207 9345.653675492083494 1.102944006791713 9348.769412644584008 1.100682918043577 9351.886188549258804 1.098422251416707 9355.004003552408903 1.096174151630553 9358.122858000459019 1.093925302352895 9361.242752239937545 1.091675703333868 9364.363686617518397 1.089425354323502 9367.485661479962801 1.087189093941799 9370.608677174157492 1.084954613914363 9373.732734047094709 1.082719388936106 9376.857832445908571 1.080483418758657 9379.983972717825964 1.078260717910260 9383.111155210193829 1.076045370247154 9386.239380270468246 1.073829284011745 9389.368648246248995 1.071612458957788 9392.498959485223168 1.069407984715125 9395.630314335201547 1.067220911734436 9398.762713144113150 1.065033109607902 9401.896156259992495 1.062844578092441 9405.030644031019619 1.060614863645823 9408.166176805463692 1.058232614654573 9411.302754931712116 1.055849571447967 9414.440378758268707 1.053465733761224 9417.579048633773709 1.051082902668740 9420.718764906961951 1.048935568369192 9423.859527926688315 1.046787518172235 9427.001338041918643 1.044638751839202 9430.144195601760657 1.042489269131330 9433.288100955413029 1.040404373013165 9436.433054452196302 1.038334046717240 9439.579056441541979 1.036263030197524 9442.726107273023445 1.034191323223894 9445.874207296305030 1.032178129676441 9449.023356861174761 1.030200647439855 9452.173556317527982 1.028222505932656 9455.324806015409195 1.026243704935039 9458.477106304942936 1.024301871606842 9461.630457536388349 1.022408446902537 9464.784860060106439 1.020514390951467 9467.940314226605551 1.018619703543172 9471.096820386483159 1.016749755735844 9474.254378890462249 1.014953456244091 9477.412990089371306 1.013156557886042 9480.572654334187973 1.011359060462028 9483.733371975975388 1.009513352918682 9486.895143365925833 1.007126776356769 9490.057968855337094 1.004739404136739 9493.221848795652477 1.002351235993317 9496.386783538406235 0.999962271661155 9499.552773435256313 0.998208508610293 9502.719818837978892 0.996514661760033 9505.887920098461109 0.994820250200047 9509.057077568730165 0.993125273742059 9512.227291600906028 0.991531764929608 9515.398562547237816 0.989971546115022 9518.570890760074690 0.988410807140815 9521.744276591918606 0.986849547833561 9524.918720395358832 0.985391039280692 9528.094222523111966 0.984002416115383 9531.270783328000107 0.982613329998535 9534.448403162994509 0.981223780775798 9537.627082381155560 0.979925420415227 9540.806821335669156 0.978741315828529 9543.987620379828513 0.977556816474515 9547.169479867077825 0.976371922221566 9550.352400150944959 0.975232082315196 9553.536381585088748 0.974198232303243 9556.721424523275346 0.973164037617180 9559.907529319416426 0.972129498142091 9563.094696327516431 0.971120761808872 9566.282925901701674 0.970248684540461 9569.472218396214885 0.969376316531175 9572.662574165437036 0.968503657684079 9575.853993563843687 0.967591611440760 9579.046476946037728 0.965264757399504 9582.240024666729369 0.962937127610957 9585.434637080776156 0.960608721816479 9588.630314543126588 0.958279539757367 9591.827057408854671 0.957424659269456 9595.024866033154467 0.956734896040337 9598.223740771329176 0.956044902851820 9601.423681978827517 0.955354679627233 9604.624690011189159 0.944539027718818 9607.826765224081100 0.930815857416360 9611.029907973281297 0.917088111961355 9614.234118614713225 0.903355789828419 9617.439397504391309 0.886768793967667 9620.645744998455484 0.868712802662740 9623.853161453158464 0.850650791690875 9627.061647224898479 0.832582759045078 9630.271202670164712 0.809794189830884 9633.481828145575491 0.783140416440071 9636.693524007856468 0.756477756977277 9639.906290613880628 0.729806208479836 9643.120128320613730 0.706873521723917 9646.335037485150679 0.688609925396577 9649.551018464690060 0.670340240189104 9652.768071616585075 0.652064464071408 9655.986197298276238 0.638598790895945 9659.205395867331390 0.634257898980764 9662.425667681431150 0.629915559860437 9665.647013098403477 0.625571773052454 9668.869432476163638 0.621162476666806 9672.092926172761508 0.616561005221434 9675.317494546350645 0.611957999696597 9678.543137955235579 0.607353459580821 9681.769856757811795 0.603813178794383 9684.997651312605740 0.605739522971858 9688.226521978251185 0.607666509371084 9691.456469113527419 0.609594138206181 9694.687493077311956 0.611532994963399 9697.919594228606002 0.613593628560046 9701.152772926528996 0.615654949149049 9704.387029530318614 0.617716956959442 9707.622364399352591 0.619787598435328 9710.858777893103252 0.624370342856773 9714.096270371173887 0.628954615114319 9717.334842193273289 0.633540415717312 9720.574493719263046 0.638127745175314 9723.815225309097514 0.644103952140968 9727.057037322854740 0.650184244651183 9730.299930120727367 0.656266564263382 9733.543904063057198 0.662350911653415 9736.788959510275163 0.675372424552502 9740.035096822943160 0.689478076227089 9743.282316361732228 0.703588430569254 9746.530618487466199 0.717703489146910 9749.780003561056219 0.730271031294818 9753.030471943546218 0.742465810199863 9756.282023996089265 0.754664654708738 9759.534660079985770 0.766867566176932 9762.788380556634365 0.778168348194759 9766.043185787557377 0.789169899638813 9769.299076134389907 0.800175118877914 9772.556051958916214 0.811184007134926 9775.814113623015146 0.822829279224039 9779.073261488692879 0.834749964774299 9782.333495918066546 0.846674624548708 9785.594817273402441 0.858603259872292 9788.857225917063261 0.869618501159643 9792.120722211535394 0.880155221004034 9795.385306519423466 0.890695453673787 9798.650979203473980 0.901239200340087 9801.917740626533487 0.908131382269024 9805.185591151574044 0.912753797184523 9808.454531141691405 0.917377753161825 9811.724560960090457 0.922003250714687 9814.995680970125250 0.926698007816053 9818.267891535248054 0.931442706799666 9821.541193019033017 0.936188987613227 9824.815585785174335 0.940936850784091 9828.091070197511726 0.945749718485032 9831.367646619979496 0.950614971670781 9834.645315416639278 0.955481846877912 9837.924076951667303 0.960350344647177 9841.203931589390777 0.964108471740536 9844.484879694227857 0.966892732056949 9847.766921630729485 0.969677920614833 9851.050057763553923 0.972464037723643 9854.334288457517687 0.976150004892935 9857.619614077522783 0.980681646164630 9860.906034988605825 0.985214798235202 9864.193551555916201 0.989749461608321 9867.482164144752460 0.994054457377903 9870.771873120505916 0.998133223173564 9874.062678848698852 1.002213348784446 9877.354581694966328 1.006294834663883 9880.647582025099837 1.010367369095399 9883.941680204972727 1.014430840984027 9887.236876600598407 1.018495667589060 9890.533171578099427 1.022561849362130 9893.830565503751131 1.026613781025953 9897.129058743917994 1.030651225106184 9900.428651665104553 1.034690015225439 9903.729344633928122 1.038730151832469 9907.031138017124249 1.042784260355936 9910.334032181577641 1.046852318452404 9913.638027494265771 1.050921732794263 9916.943124322300719 1.054992503833674 9920.249323032907341 1.059071396718603 9923.556623993457833 1.063158146636214 9926.865027571420796 1.067246259030864 9930.174534134397618 1.071335734356788 9933.485144050098825 1.074444130388707 9936.796857686393196 1.076664464346945 9940.109675411238641 1.078885538539869 9943.423597592724036 1.081107353214264 9946.738624599052855 1.083430558386985 9950.054756798583185 1.085838540883656 9953.371994559764062 1.088247326174951 9956.690338251177309 1.090656914528513 9960.009788241515707 1.092860606289640 9963.330344899628471 1.094909411527256 9966.652008594457584 1.096958899813787 9969.974779695075995 1.099009071376954 9973.298658570667612 1.101051293754068 9976.623645590578235 1.103088469599197 9979.949741124235516 1.105126324616129 9983.276945541207169 1.107164859031293 9986.605259211173689 1.109189225468665 9989.934682503968361 1.111205808532047 9993.265215789513604 1.113223063901827 9996.596859437871899 1.115240991802146