SN 2002er Ia in UGC 10743


Geoffrey Chaucer with an astrolabe.

OBJECT:  SN 2002er Ia in UGC 10743 (Sa galaxy) which in Leda is
         UGC 10743 (Leda).
DISCOVERY:   2002aug23.2 UT by Wood-Vasey et al.
MAXIMUM:  2002sep07.2 (4h 48m) (MJD 52524.2 +/- 0.5) in B (pignata2004).
          Note that Modified Julian Date (MJD) is given by

                         MJD=JD-2400000.5  (Julian Date).

          For some three centuries following 1858nov17.00 UT, the Julian day lies between 2400000 and 2500000.
          The MJD drops those first "24" digits and gets rid of that annoying half day thing.

          So one has JD 2452524.7  for Bmax.

          See the US Navy Observatory Julian Date Converter.
          This day of the year 249.
SUPERNOVA of the YEAR:  M = 148.

HEADER: Header Common header information for this supernovae.
        The common header may (or may not) be updated relative to the header information here
        (D. J. Jeffery (2006jan01)).

COMMENTS:  SN 2002er is a broad line (BL) SN Ia.

REFERENCES:

       CfA List of Supernovae
       where SN 2002er is noted.

       CfA Supernova Archive
       For SN 2002er, this has 0 spectra and 0 photometry.

       christensen2003 Specifically on SN 2002er spectroscopy.
       There are 5 spectra.  Probably only the 2002sep07 spectrum is a useful complement to the kotak2005 spectra.

       conley2006 General value
       of 19.4 days for Ia rise time in B.

       kotak2005 Specifically on SN 2002er spectroscopy.

       pignata2004 Specifically on SN 2002er photometry.

       SUSPECT Index.

       SUSPECT Index:  SN 2002er Ia.
       There are 25 spectra all from kotak2005, but there is the 26th kotak2005 spectrum?
       The missing one seems to be the 2002sep24 spectrum:  it's an IR spectrum.
       But there is no great picture of
       Fritz Zwicky (Wikipedia).
       Just say Fritz Zwicky aloud and you can tell he's an up-to-date person.

CORRECTIONS:  Heliocentric velocity 2570 +/- 13 km/s (2007jul01) from
              UGC 10743 (Leda).
              Galactic foreground 0.69/4=.1725 reddening from
              UGC 10743 (Leda).
              But this is derived from
              Schlegel et al. (1998)


OBSERVATIONS: From 1) SUSPECT: All from kotak2005 2) Eddie Baron: has all the christensen2003 spectra. 2) David Branch: only has the kotak2005 spectra and so is redundant with SUSPECT. SPECTRUM LOG: MJD times for the SN 2002er spectra of kotak2005 Bmax from pignata2004 where the MJD Bmax is MJD 52524.2 +/- 0.5. As far as I know, all the kotak2005 spectra from SUSPECT are in the observer frame. These dates are only for a subset of the kotak2005 spectra on SUSPECT. MJD Bmax Heliocentric velocity (Leda, 2007jul01) 52524.2 2570. Heliocentric velocity Z redshift 2570.0000000000 0.0085725972 Index JD of some kind Observer phase Rest phase 1 52512.9300000000 -11.2700000000 -11.1742080151 ! kotak2005 2002aug26 3552.21--7224.41 2 52514.8700000000 -9.3300000000 -9.2506974961 ! kotak2005 2002aug28 3642.88--7834.43 3 52515.8600000000 -8.3400000000 -8.2691122313 ! kotak2005 2002aug29 3326.17--8983.67 4 52516.8400000000 -7.3600000000 -7.2974419691 ! kotak2005 2002aug30 3500.47--9294.97 5 52523.8500000000 -0.3500000000 -0.3470250936 ! kotak2005 2002sep06 3480.32--10263.82 6 52529.8800000000 5.6800000000 5.6317215196 ! kotak2005 2002sep12 3252.66--9779.16 7 52544.0200000000 19.8200000000 19.6515353026 ! kotak2005 2002sep26 3489.08--8768.58 &specnamelist aname='sn2002er Ia 2002_09_26' ebv=.1725 ! epoch=19.6515353026 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ! I think all kotak2005 spectra from SUSPECT are observer frame. ismooth=1 ! Smoothing reduces the noise without obvious degradation. itick=1 itickln=4 t_rise=19.4d0 ! conley2006: just an average rise time. v_helio=2570. ymin2=.3d-16 ymax2=60.d-16 ymin3=.35 ymax3=2.65 wlammin1=3489.08 wlammax1=8768.58 wlammin2=3489.08 wlammax2=8768.58 wlammin3=3600 ! The observers didn't trust the down turn at the end though it looks plausible. wlammax3=8768.58 ! Comparison to other spectra suggest it might be OK to the end. /
./figure/sn2002er_2002_09_26.gif Postscript plot of the spectrum.
./figure/sn2002er_2002_09_26.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. SIMPLE = T BITPIX = -32 NAXIS = 1 NAXIS1 = 10560 CRVAL1 = 3489.08 CDELT1 = 0.5 CTYPE1 = 'LINEAR ' OBJECT = '2002er ' SNTYPE = 'Ia ' TYPECITE= 'Rubina Kotak' MAXDATE = '20020906' MAXCITE = 'Asiago Catalogue' DATE-OBS= '20020926' BUNIT = '10^-15 ergs/s/cm^2/A' HOSTGAL = 'UGC10743' HELVEL = 2717. HVELCITE= 'Asiago Catalogue' END: 3459.917417526421559 0.765952109046705 3461.070915571257956 0.770485365351013 3462.224798179533082 0.774078643522126 3463.379065479456131 0.779349536831417 3464.533717599275406 0.786701545500053 3465.688754667292415 0.809179473290604 3466.844176811841407 0.834053111415527 3467.999984161302564 0.853256982872347 3469.156176844095171 0.869384751985889 3470.312754988692632 0.882920898981329 3471.469718723599726 0.897133235400489 3472.627068177367619 0.913453215025746 3473.784803478587946 0.932303399143996 3474.942924755904642 0.954153404110117 3476.101432137993925 0.977002817886321 3477.260325753579764 0.996523834797666 3478.419605731423871 1.015121501016585 3479.579272200342530 1.032894719297305 3480.739325289183398 1.047787734153994 3481.899765126842340 1.056636460767983 3483.060591842252506 1.060582477075679 3484.221805564402530 1.059028142883336 3485.383406422312419 1.051861708487351 3486.545394545048566 1.038876192588892 3487.707770061717383 1.024388741949771 3488.870533101479396 1.017063676741393 3490.033683793526507 1.019504657703095 3491.197222267097004 1.034900389948246 3492.361148651470103 1.066044065631088 3493.525463075978223 1.101932999838093 3494.690165669986072 1.137964332387488 3495.855256562904287 1.173023906086932 3497.020735884184887 1.199148702451989 3498.186603763331732 1.207690182106035 3499.352860329882787 1.198841994928790 3500.519505713421950 1.175288417543263 3501.686540043576315 1.141363050432258 3502.853963450012998 1.095443686344052 3504.021776062453227 1.045084562898179 3505.189978010649611 0.996432452733736 3506.358569424402504 0.948955008256288 3507.527550433552278 0.906198733641531 3508.696921167992514 0.881785960628407 3509.866681757649985 0.877875310603301 3511.036832332497852 0.891641008606132 3512.207373022549291 0.918473162936725 3513.378303957871594 0.955990504091571 3514.549625268564341 1.004891784603194 3515.721337084775314 1.060084850798353 3516.893439536689584 1.114627237158458 3518.065932754549522 1.167989529016384 3519.238816868627509 1.218273300783898 3520.412092009244589 1.258447474938003 3521.585758306760454 1.284832538588493 3522.759815891590279 1.298120534133868 3523.934264894180615 1.298582958664145 3525.109105445026671 1.288832538909103 3526.284337674662311 1.270965041709603 3527.459961713675511 1.252809326204799 3528.635977692688357 1.246137417998411 3529.812385742369315 1.252099602297747 3530.989185993425963 1.269350414931876 3532.166378576622265 1.292279959883418 3533.343963622752653 1.317252079015336 3534.521941262660675 1.343415029160270 3535.700311627228530 1.368909744793086 3536.879074847393895 1.390911059980508 3538.058231054127191 1.411735608763578 3539.237780378445223 1.424759279825691 3540.417722951408905 1.423357853611487 3541.598058904119625 1.414494405451292 3542.778788367732886 1.407639216406162 3543.959911473437842 1.407221445756726 3545.141428352470029 1.412295441125069 3546.323339136104551 1.417352095963226 3547.505643955673804 1.423557287807413 3548.688342942540203 1.430816877024507 3549.871436228114817 1.433705700467099 3551.054923943849190 1.432270409430116 3552.238806221248979 1.424301911982055 3553.423083191853038 1.407157556969602 3554.607754987247972 1.381288478989469 3555.792821739060400 1.347374688904028 3556.978283578971059 1.312246215555350 3558.164140638694789 1.278425781481271 3559.350393049993272 1.245062882305645 3560.537040944668661 1.218238966593610 3561.724084454578588 1.202031220395899 3562.911523711612062 1.191843864096772 3564.099358847707663 1.187855435920150 3565.287589994843074 1.188979970753342 3566.476217285051462 1.194871583125461 3567.665240850398732 1.204608672178392 3568.854660822998994 1.214565729228907 3570.044477335005467 1.201239978915599 3571.234690518628668 1.205345153760328 3572.425300506109124 1.202306124886426 3573.616307429738299 1.191443500682704 3574.807711421849490 1.177778543364755 3575.999512614817831 1.161946962638299 3577.191711141072119 1.144106564396239 3578.384307133076163 1.124998069062701 3579.577300723340159 1.103760751911747 3580.770692044415682 1.087366825162759 3581.964481228908426 1.073207822376466 3583.158668409458187 1.058933075967758 3584.353253718752967 1.048596770413374 3585.548237289520330 1.041688480813986 3586.743619254543773 1.037152900021163 3587.939399746639538 1.034592724397280 3589.135578898672065 1.030490632968248 3590.332156843546727 1.025323282079279 3591.529133714224372 1.019655645684898 3592.726509643698137 1.009912158712662 3593.924284765009816 0.999010832890076 3595.122459211242131 0.985879911707871 3596.321033115532828 0.969103608693511 3597.520006611053304 0.951564509126374 3598.719379831022707 0.932379435437195 3599.919152908700653 0.910879250007037 3601.119325977403150 0.891216592718434 3602.319899170478948 0.872928270158753 3603.520872621324997 0.855149235466248 3604.722246463379179 0.839185209407922 3605.924020830134850 0.824186076069945 3607.126195855118567 0.812284858685314 3608.328771671905997 0.804166187314447 3609.531748414111917 0.799764126497769 3610.735126215408854 0.801522720374462 3611.938905209501172 0.805406576835074 3613.143085530141889 0.808769264096286 3614.347667311129953 0.812540571034738 3615.552650686302513 0.813337185747160 3616.758035789554924 0.806507641904368 3617.963822754815283 0.796163817815229 3619.170011716059889 0.784662314997771 3620.376602807305062 0.773236041991531 3621.583596162625327 0.759457683309398 3622.790991916126586 0.743334766637130 3623.998790201963857 0.727723956164676 3625.206991154333082 0.712307518262288 3626.415594907487048 0.696871924635245 3627.624601595710374 0.684932113596960 3628.834011353338155 0.677559596257275 3630.043824314744597 0.672706781380408 3631.254040614361202 0.668095690768275 3632.464660386653122 0.663133833689325 3633.675683766132806 0.658631370531795 3634.887110887355448 0.654722665931435 3636.098941884930809 0.651526252443258 3637.311176893503671 0.649269582611025 3638.523816047766559 0.647554267241669 3639.736859482453838 0.646646121435510 3640.950307332354896 0.646965109961027 3642.164159732293683 0.647540382208501 3643.378416817143261 0.648173879795062 3644.593078721816710 0.648332874586974 3645.808145581283952 0.645408786417836 3647.023617530549473 0.638323814769086 3648.239494704664594 0.629384639395849 3649.455777238723840 0.619099959757350 3650.672465267876760 0.608308307851877 3651.889558927307462 0.596779603148298 3653.107058352248714 0.585019877881832 3654.324963677977394 0.573282437624068 3655.543275039813579 0.561479743108337 3656.761992573132375 0.550710718401655 3657.981116413342988 0.542775525713336 3659.200646695903288 0.539048021559825 3660.420583556313431 0.538551337940850 3661.640927130129512 0.540055646296719 3662.861677552940819 0.542624877416799 3664.082834960387117 0.545937208970412 3665.304399488148192 0.549324335361968 3666.526371271961125 0.552882269252441 3667.748750447597104 0.556169805674788 3668.971537150875520 0.558131318443482 3670.194731517658511 0.557812457488130 3671.418333683863239 0.552991652039785 3672.642343785441881 0.546031464885538 3673.866761958396637 0.538016756315597 3675.091588338768815 0.529832573518207 3676.316823062658386 0.524164196955491 3677.542466266198971 0.520095048207452 3678.768518085572850 0.516022343815003 3679.994978657004140 0.512763106598445 3681.221848116774254 0.510170055029240 3682.449126601197804 0.507267032435404 3683.676814246639424 0.505060180210957 3684.904911189504674 0.502882658329905 3686.133417566256412 0.500579546797686 3687.362333513391604 0.498797653776399 3688.591659167456783 0.498753762276512 3689.821394665043499 0.500782960174533 3691.051540142784688 0.504148190822469 3692.282095737371947 0.509170367163968 3693.513061585528703 0.517942786047148 3694.744437824029774 0.533439032794070 3695.976224589689991 0.551033237590733 3697.208422019383306 0.568618183338796 3698.441030250016411 0.585850953414222 3699.674049418545110 0.598587849445050 3700.907479661968409 0.604210513244815 3702.141321117341249 0.607225412618038 3703.375573921754039 0.608955283669861 3704.610238212344939 0.608549324919831 3705.845314126296216 0.605504298864984 3707.080801800845165 0.598238041116629 3708.316701373265005 0.590765084895819 3709.553012980877611 0.583632954600387 3710.789736761047152 0.577738352491829 3712.026872851195094 0.577543731561936 3713.264421388777009 0.582788610973773 3714.502382511298947 0.589766892770490 3715.740756356307429 0.596669763359159 3716.979543061407639 0.603965518968673 3718.218742764238868 0.611965795652230 3719.458355602489519 0.620509744700073 3720.698381713891195 0.628987009358103 3721.938821236231433 0.638238559139727 3723.179674307333698 0.651158133337160 3724.420941065070110 0.666743120351016 3725.662621647355536 0.684532444246810 3726.904716192162141 0.704231352909771 3728.147224837496651 0.724529441671425 3729.390147721415815 0.744626543295006 3730.633484982021400 0.764122577805777 3731.877236757458832 0.783630139402911 3733.121403185930376 0.805316723891779 3734.365984405672407 0.827775561274307 3735.610980554972684 0.848320657595251 3736.856391772159441 0.863789888383159 3738.102218195619571 0.874887769740771 3739.348459963774076 0.884508824483854 3740.595117215095343 0.892500974727394 3741.842190088095776 0.897741586760184 3743.089678721347354 0.902297104479555 3744.337583253456160 0.905411588466647 3745.585903823078297 0.906352684241554 3746.834640568911254 0.909453077763179 3748.083793629712545 0.915072920299100 3749.333363144272425 0.921797171504181 3750.583349251432082 0.928933181009835 3751.833752090074995 0.937280329046775 3753.084571799142395 0.950172744667815 3754.335808517610531 0.968918910598478 3755.587462384505670 0.993107323321883 3756.839533538896831 1.023351080585277 3758.092022119910325 1.056106658932202 3759.344928266707939 1.087935888760732 3760.598252118501932 1.120206807523496 3761.851993814545494 1.152032289555873 3763.106153494152295 1.182919695610218 3764.360731296668291 1.211560063386401 3765.615727361492191 1.231773310845512 3766.871141828063173 1.244087570595604 3768.126974835879992 1.250134876953944 3769.383226524475504 1.250223431724208 3770.639897033433954 1.246479148421982 3771.896986502384152 1.245305375809680 3773.154495070999928 1.248819600729007 3774.412422879011956 1.256749228113356 3775.670770066185469 1.267282346171243 3776.929536772337542 1.281808962831385 3778.188723137327088 1.301542537891426 3779.448329301071681 1.324046770725143 3780.708355403523001 1.350463685056736 3781.968801584684570 1.382300414836265 3783.229667984601747 1.417464616853014 3784.490954743379007 1.454742871220270 3785.752662001154931 1.493931058315669 3787.014789898119034 1.534803732023656 3788.277338574504938 1.576937450558777 3789.540308170602202 1.619476607366635 3790.803698826738128 1.660465854154203 3792.067510683288674 1.698339462284886 3793.331743880673912 1.730047338798608 3794.596398559371664 1.751665268052104 3795.861474859895679 1.761163490464529 3797.126972922809273 1.760949019985539 3798.392892888720326 1.752783276607939 3799.659234898293562 1.738107726960377 3800.925999092230086 1.719587711626524 3802.193185611281933 1.700709455595790 3803.460794596243431 1.681973911219480 3804.728826187967115 1.664015040676858 3805.997280527342355 1.649826446992888 3807.266157755308086 1.639376831794702 3808.535458012850995 1.631823849164365 3809.805181441000514 1.629829620529571 3811.075328180844281 1.635645659743866 3812.345898373506316 1.649565457405759 3813.616892160161115 1.669595518441286 3814.888309682026375 1.691506192028472 3816.160151080378000 1.713153486029312 3817.432416496528276 1.733384420244162 3818.705106071839509 1.752283292029511 3819.978219947718571 1.770347074125318 3821.251758265629633 1.786329502476672 3822.525721167073243 1.797273449762358 3823.800108793601339 1.805335222404771 3825.074921286807694 1.811932963193866 3826.350158788347017 1.818097518468573 3827.625821439907668 1.824582068931182 3828.901909383230304 1.831656461255358 3830.178422760098329 1.840938471760541 3831.455361712354261 1.853526573701634 3832.732726381877001 1.870302089613654 3834.010516910595015 1.891174191094109 3835.288733440482247 1.913658225840212 3836.567376113569480 1.933284757362139 3837.846445071924791 1.948752489803127 3839.125940457666729 1.963123527482014 3840.405862412957504 1.975067740588668 3841.686211080018893 1.980494539642411 3842.966986601107692 1.981688447230585 3844.248189118532537 1.978875653996965 3845.529818774644809 1.972157687237597 3846.811875711855919 1.965973021619283 3848.094360072612744 1.965602905368245 3849.377271999413551 1.974539589041998 3850.660611634803900 1.992044423166305 3851.944379121373458 2.014982707079905 3853.228574601771015 2.042644095093984 3854.513198218680827 2.072565095721797 3855.798250114838538 2.101877032072088 3857.083730433024357 2.127687508056880 3858.369639316077155 2.145143239988608 3859.655976906871274 2.150414617937722 3860.942743348333806 2.144024328953893 3862.229938783434136 2.128222842296096 3863.517563355202583 2.106775726222898 3864.805617206704028 2.084570365559697 3866.094100481055648 2.062462215702568 3867.383013321418730 2.045575100918826 3868.672355871013679 2.031692008250864 3869.962128273095914 2.028466226774505 3871.252330670974516 2.040444588520471 3872.542963208001311 2.064931069198113 3873.834026027587242 2.095037053795962 3875.125519273180089 2.125718055111359 3876.417443088279015 2.156266345001277 3877.709797616427295 2.186615226054029 3879.002583001227322 2.215906922703083 3880.295799386318777 2.243774611589706 3881.589446915391818 2.267044532720654 3882.883525732181170 2.284028662575773 3884.178035980481582 2.292356676460879 3885.472977804122820 2.293666116962360 3886.768351346988311 2.292445067594573 3888.064156753007865 2.291300149896355 3889.360394166155857 2.291076945322686 3890.657063730466689 2.293046787754654 3891.954165590010689 2.298244678506612 3893.251699888910480 2.304817201079905 3894.549666771332795 2.311439873580464 3895.848066381503486 2.317742937769163 3897.146898863686147 2.322266486711334 3898.446164362194395 2.323519974605033 3899.745863021387777 2.320441419944763 3901.045994985684956 2.312439533885631 3902.346560399540977 2.297824621068298 3903.647559407463632 2.274660389177881 3904.948992154003918 2.244374277748907 3906.250858783773310 2.212716733548105 3907.553159441420121 2.181130056439016 3908.855894271644502 2.150717443065206 3910.159063419190261 2.125897550510633 3911.462667028862143 2.108248631303168 3912.766705245500816 2.096440216651249 3914.071178214000156 2.089003669327960 3915.376086079296783 2.087367040571881 3916.681428986388710 2.091915923860519 3917.987207080310327 2.099261285302155 3919.293420506147868 2.105860515897374 3920.600069409032130 2.112139786873729 3921.907153934154394 2.116656375189651 3923.214674226741863 2.114911293680447 3924.522630432075402 2.105665039449078 3925.831022695479078 2.093516339211155 3927.139851162337436 2.081160833074467 3928.449115978072314 2.069475143825766 3929.758817288157388 2.061730351580938 3931.068955238115450 2.055745619544203 3932.379529973512490 2.050524863647960 3933.690541639976800 2.044239548024444 3935.001990383171687 2.032095729312432 3936.313876348814574 2.012020333798236 3937.626199682665629 1.987757067311966 3938.938960530546865 1.962714088039343 3940.252159038316677 1.937570776384427 3941.565795351886209 1.911536636405904 3942.879869617210261 1.883840782571880 3944.194381980306389 1.857739775905264 3945.509332587226254 1.831870511951474 3946.824721584076542 1.807703300044011 3948.140549117006685 1.790417537938269 3949.456815332227961 1.779278345719600 3950.773520375988937 1.770685147301519 3952.090664394589112 1.759349795297712 3953.408247534374368 1.744727729929687 3954.726269941750616 1.728238129101273 3956.044731763161053 1.708366826013173 3957.363633145101630 1.687227270193034 3958.682974234111953 1.665874598179438 3960.002755176794835 1.644213203120714 3961.322976119787654 1.623698673695154 3962.643637209781900 1.605784247409843 3963.964738593513630 1.591904957952963 3965.286280417779835 1.583771810575365 3966.608262829414798 1.581379960923007 3967.930685975305096 1.584352965688523 3969.253550002383236 1.590059984458975 3970.576855057641296 1.596273665823165 3971.900601288109556 1.603170517045443 3973.224788840871042 1.610357945211788 3974.549417863057442 1.618074119939527 3975.874488501846372 1.625630900267623 3977.200000904475019 1.633017065524898 3978.525955218219224 1.638360093093621 3979.852351590406670 1.640029297044199 3981.179190168411424 1.638913285566543 3982.506471099667124 1.635365770533048 3983.834194531646517 1.630327996116122 3985.162360611873282 1.623679267929859 3986.490969487918392 1.614277930737429 3987.820021307412389 1.604068111308877 3989.149516218024473 1.593300626485689 3990.479454367475228 1.581435770395087 3991.809835903532530 1.569276443921701 3993.140660974023831 1.556775052082216 3994.471929726815233 1.544788571247968 3995.803642309824681 1.532300575008555 3997.135798871016959 1.519289013516421 3998.468399558417332 1.506577499462922 3999.801444520088353 1.495041761901472 4001.134933904146237 1.484185477650683 4002.468867858752674 1.473392445188596 4003.803246532129833 1.464008388272038 4005.138070072538994 1.456662045358787 4006.473338628293277 1.449257467120348 4007.809052347751731 1.442492575580115 4009.145211379335251 1.436644607669938 4010.481815871502022 1.429369464550389 4011.818865972763888 1.418651788090630 4013.156361831681352 1.404707855609428 4014.494303596861300 1.388718732146395 4015.832691416972011 1.371834683798271 4017.171525440719506 1.353719687154690 4018.510805816862558 1.334841531799547 4019.850532694206322 1.316583018291221 4021.190706221617802 1.299650608401342 4022.531326548000379 1.284290965888107 4023.872393822312461 1.273600059577206 4025.213908193557472 1.267222324275199 4026.555869810800232 1.264060376971043 4027.898278823143755 1.264732738324647 4029.241135379744719 1.266825872659925 4030.584439629805274 1.269083523634121 4031.928191722589418 1.271149697998785 4033.272391807399345 1.271731569471784 4034.617040033590001 1.269932068069559 4035.962136550562718 1.265653864759257 4037.307681507781581 1.260357810795171 4038.653675054746600 1.254236831798149 4040.000117341013265 1.244301387519946 4041.347008516181631 1.228604143507013 4042.694348729914964 1.209614877946185 4044.042138131913362 1.190456448855336 4045.390376871931494 1.171359228357776 4046.739065099769050 1.152469907466976 4048.088202965288929 1.135709838416905 4049.437790618390864 1.120819449559991 4050.787828209029612 1.106416587928912 4052.138315887204499 1.093771575864385 4053.489253802978510 1.084641426362694 4054.840642106451469 1.078942736992043 4056.192480947778222 1.075706420003228 4057.544770477161819 1.072895849951730 4058.897510844853969 1.070588963393339 4060.250702201166405 1.068741287575231 4061.604344696449971 1.065289064770077 4062.958438481109170 1.061393582445356 4064.312983705594888 1.057088963644883 4065.667980520420770 1.052319631298570 4067.023429076137290 1.046624046829502 4068.379329523350407 1.040676828964487 4069.735682012711095 1.033121438198156 4071.092486694933541 1.023346693644807 4072.449743720770130 1.011595548384619 4073.807453241026906 0.999066151031407 4075.165615406555844 0.987441528556878 4076.524230368273038 0.975971666953416 4077.883298277130962 0.964881672581421 4079.242819284137113 0.955001330696555 4080.602793540345829 0.946153673528399 4081.963221196873292 0.938602223857342 4083.324102404873884 0.932906418489487 4084.685437315556555 0.929370564331478 4086.047226080177097 0.927771930048406 4087.409468850052690 0.926068760176371 4088.772165776540987 0.923664743249706 4090.135317011051484 0.921115731795768 4091.498922705041423 0.918587002888488 4092.862983010031712 0.916295164052824 4094.227498077579185 0.915244109658483 4095.592468059297971 0.915539622222315 4096.957893106846313 0.915748376667293 4098.323773371947027 0.916091390971743 4099.690109006359307 0.916293915891135 4101.056900161899648 0.916704917131469 4102.424146990432746 0.917018249085914 4103.791849643871501 0.917129948095568 4105.160008274190659 0.917297998910985 4106.528623033404074 0.916168700340320 4107.897694073580169 0.913809127294675 4109.267221546832843 0.912840015568890 4110.637205605340569 0.913537019285992 4112.007646401320017 0.916470915028753 4113.378544087042428 0.922096742861971 4114.749898814825428 0.929800493711931 4116.121710737049398 0.937614194639942 4117.493980006134734 0.945372304975413 4118.866706774555496 0.953041659411913 4120.239891194832126 0.958220426331115 4121.613533419550549 0.960414073778262 4122.987633601332163 0.960444301972301 4124.362191892854753 0.958352125108555 4125.737208446842487 0.954185029473295 4127.112683416085019 0.948226069154668 4128.488616953407472 0.942222828352773 4129.865009211691358 0.936393732211684 4131.241860343865483 0.930680415833352 4132.619170502922316 0.925726008916345 4133.996939841889798 0.921923367773546 4135.375168513855897 0.918902229720692 4136.753856671951326 0.915762134540186 4138.133004469372281 0.912808491366774 4139.512612059354069 0.909861054830544 4140.892679595185655 0.906932548723942 4142.273207230208754 0.904751797050785 4143.654195117809650 0.904510155032103 4145.035643411441015 0.906040388983705 4146.417552264592814 0.908936699800916 4147.799921830809581 0.912280559958417 4149.182752263684961 0.915601891653436 4150.566043716874447 0.919153354260164 4151.949796344072638 0.922337453096625 4153.334010299031434 0.925335142655127 4154.718685735546387 0.928015472626885 4156.103822807478537 0.928953813361540 4157.489421668729847 0.930677400650228 4158.875482473254124 0.934196435395501 4160.262005375053377 0.937304949744243 4161.648990528196009 0.940467261273377 4163.036438086785893 0.943518922966288 4164.424348204985108 0.946627626659227 4165.812721037000301 0.949644647292799 4167.201556737103601 0.952554472840621 4168.590855459607155 0.955453925182428 4169.980617358876771 0.957054767740040 4171.370842589325548 0.955260514199453 4172.761531305432072 0.951228806317842 4174.152683661713127 0.946205584879166 4175.544299812741883 0.940460497050166 4176.936379913136079 0.934736750968738 4178.328924117581664 0.929243308475041 4179.721932580800967 0.924303897875383 4181.115405457572706 0.921233588383625 4182.509342902722892 0.919325149514501 4183.903745071141202 0.917803759376073 4185.298612117758239 0.917014092686690 4186.693944197559176 0.917114001585171 4188.089741465580119 0.918487423656386 4189.486004076905374 0.920302294761018 4190.882732186684734 0.922059742912193 4192.279925950104371 0.923832803547831 4193.677585522409572 0.925210440664894 4195.075711058891102 0.925202828112059 4196.474302714904297 0.924081903429203 4197.873360645844514 0.923457810193583 4199.272885007162586 0.922525777631414 4200.672875954356641 0.921003918421767 4202.073333642990292 0.919289493794661 4203.474258228665349 0.916754675723410 4204.875649867039101 0.914403603293227 4206.277508713819770 0.911796744876741 4207.679834924775605 0.909418506835603 4209.082628655718509 0.907872123561099 4210.485890062512226 0.907217772573197 4211.889619301072344 0.906887258731250 4213.293816527376293 0.906517926844477 4214.698481897441525 0.906414805538056 4216.103615567342786 0.906592879532776 4217.509217693202118 0.907840757104019 4218.915288431204317 0.908961799029797 4220.321827937576927 0.910961451493098 4221.728836368601151 0.914622130664665 4223.136313880607304 0.918474991173476 4224.544260629990276 0.923253836529779 4225.952676773184066 0.928207104693045 4227.361562466679970 0.933156643803187 4228.770917867020216 0.937795664832679 4230.180743130796145 0.941034487275034 4231.591038414662762 0.942294484791419 4233.001803875316000 0.942998129582993 4234.413039669508180 0.942798726011812 4235.824745954037098 0.940820349362430 4237.236922885768763 0.938013704354093 4238.649570621608291 0.933939134879771 4240.062689318514458 0.929383415213470 4241.476279133497883 0.925256186339565 4242.890340223631938 0.921580724740145 4244.304872746030014 0.921004957365482 4245.719876857863710 0.923999597894634 4247.135352716350098 0.929045342180255 4248.551300478772646 0.935230112324948 4249.967720302455746 0.941964665866825 4251.384612344778361 0.948726177964959 4252.801976763169478 0.955211284016866 4254.219813715121745 0.961872247144400 4255.638123358169651 0.968223675511917 4257.056905849901341 0.974118542434858 4258.476161347956804 0.978693970153064 4259.895890010038784 0.982710148450684 4261.316091993890041 0.987219130531358 4262.736767457312453 0.992412786830782 4264.157916558152465 0.998398591814046 4265.579539454325641 1.003821158848239 4267.001636303785745 1.008993142394736 4268.424207264542929 1.013433325469698 4269.847252494656459 1.016280169806467 4271.270772152251084 1.018485444212691 4272.694766395491570 1.019783311565124 4274.119235382599982 1.019594303935322 4275.544179271849316 1.017600530399513 4276.969598221563501 1.014112297274712 4278.395492390130130 1.009411218319361 4279.821861935978632 1.004765222124458 4281.248707017593915 1.000684847994636 4282.676027793509093 0.998014559311804 4284.103824422326397 0.997584126335546 4285.532097062683533 0.997295616133491 4286.960845873278231 0.997197229570438 4288.390071012855515 0.996665903608342 4289.819772640227711 0.995100621487468 4291.249950914245346 0.993212360215470 4292.680605993817153 0.990977319046426 4294.111738037900977 0.988584678271280 4295.543347205521059 0.984815811032395 4296.975433655738925 0.979150324253401 4298.407997547676132 0.971634365515110 4299.841039040501528 0.963140235272487 4301.274558293451264 0.954433110407493 4302.708555465801510 0.945807016915116 4304.143030716883914 0.937766328654884 4305.577984206081055 0.928933778433421 4307.013416092840998 0.919178606929449 4308.449326536651824 0.907792547762191 4309.885715697058913 0.895590363517687 4311.322583733655847 0.883767057963282 4312.759930806104421 0.872999483558508 4314.197757074106448 0.863229417717183 4315.636062697418311 0.853331883328181 4317.074847835848232 0.843916286136987 4318.514112649269919 0.834554705707397 4319.953857297598006 0.825720951237883 4321.394081940803517 0.816316454905771 4322.834786738911134 0.806427621796355 4324.275971851995564 0.795052858947002 4325.717637440196995 0.782960716638803 4327.159783663694725 0.771174656298580 4328.602410682729897 0.758705097276637 4330.045518657587309 0.746365833531307 4331.489107748622700 0.733743873107734 4332.933178116230920 0.721444244686578 4334.377729920862294 0.709667843944047 4335.822763323019899 0.700028140122524 4337.268278483270478 0.693452304822959 4338.714275562223520 0.688934325109990 4340.160754720545810 0.685164978481176 4341.607716118950520 0.680881697642946 4343.055159918222671 0.674757393729396 4344.503086279182753 0.666639262890163 4345.951495362713104 0.658530625254439 4347.400387329743353 0.651156662985761 4348.849762341269525 0.643807241094667 4350.299620558328570 0.636826757968455 4351.749962142017466 0.629722574973498 4353.200787253479575 0.623047802788995 4354.652096053927380 0.615530927125787 4356.103888704612473 0.609099600645540 4357.556165366844652 0.605471185497642 4359.008926201984650 0.602618025425195 4360.462171371458680 0.600080579789681 4361.915901036734795 0.597269967763234 4363.370115359336523 0.594759803309653 4364.824814500844695 0.591312875332457 4366.279998622888343 0.586225594362339 4367.735667887162890 0.579952965625976 4369.191822455404690 0.574414746965514 4370.648462489409212 0.569432990361751 4372.105588151020129 0.564251533337399 4373.563199602150235 0.559376371007676 4375.021297004752341 0.554238514834320 4376.479880520835650 0.548927038784399 4377.938950312460292 0.542539751241998 4379.398506541756433 0.537665368049689 4380.858549370890614 0.534469258137428 4382.319078962090316 0.532070090731032 4383.780095477632130 0.530928973839785 4385.241599079860862 0.531238179481369 4386.703589931160423 0.533370262226543 4388.166068193973842 0.536789480839637 4389.629034030795083 0.541286823451815 4391.092487604185408 0.546458032688620 4392.556429076744280 0.552352650840823 4394.020858611133917 0.556914178621307 4395.485776370063832 0.560306199910889 4396.951182516310837 0.562999690965353 4398.417077212693584 0.564039253731519 4399.883460622088933 0.564191047209925 4401.350332907425582 0.563329435360498 4402.817694231695896 0.562238388416964 4404.285544757937714 0.561270491091727 4405.753884649244355 0.560911211378114 4407.222714068760069 0.561094340926044 4408.692033179698228 0.563455520945004 4410.161842145310402 0.567284757838047 4411.632141128910007 0.570985544837261 4413.102930293863210 0.574757042559257 4414.574209803586200 0.577493629672134 4416.045979821564288 0.579603514079887 4417.518240511321892 0.580871825022102 4418.990992036444368 0.581874727361941 4420.464234560566183 0.582825170178881 4421.937968247389108 0.583800913440517 4423.412193260658569 0.584394230075554 4424.886909764175471 0.585259267067728 4426.362117921793470 0.587246536744933 4427.837817897434434 0.590425356761966 4429.314009855059339 0.595999914791217 4430.790693958689189 0.603444668954544 4432.267870372396828 0.612359194583235 4433.745539260321493 0.621131708332768 4435.223700786643349 0.629786459691139 4436.702355115603496 0.638272970613266 4438.181502411492147 0.646187747634768 4439.661142838667729 0.653857938253898 4441.141276561530503 0.660415578597810 4442.621903744539850 0.665970218844871 4444.103024552205170 0.670872135415618 4445.584639149104987 0.675413923350682 4447.066747699857842 0.679838044936061 4448.549350369142303 0.684174076807841 4450.032447321687869 0.688789927778308 4451.516038722293160 0.694238401900312 4453.000124735795907 0.701265918189011 4454.484705527094775 0.710078269457968 4455.969781261138451 0.720282893355116 4457.455352102944744 0.729886218055323 4458.941418217572391 0.738207913281899 4460.427979770141064 0.745922644051809 4461.915036925822278 0.753955794234208 4463.402589849841206 0.763778436515047 4464.890638707490325 0.775374836869946 4466.379183664103948 0.788180421689532 4467.868224885075506 0.800745460251743 4469.357762535850270 0.812194117110704 4470.847796781940815 0.822253133011190 4472.338327788902461 0.832007320154747 4473.829355722349646 0.841776854727290 4475.320880747947740 0.851306570284267 4476.812903031430324 0.859963070103665 4478.305422738573725 0.868796462507868 4479.798440035212479 0.877607108555992 4481.291955087233873 0.885808125949626 4482.785968060593405 0.893315073232018 4484.280479121286589 0.901119375696227 4485.775488435370789 0.910253504338230 4487.270996168954298 0.921658476384254 4488.767002488212711 0.935903772361280 4490.263507559365280 0.953304761665708 4491.760511548690374 0.973147731691606 4493.258014622516384 0.992944663114918 4494.756016947241733 1.011883138554720 4496.254518689307588 1.030472895120978 4497.753520015212416 1.049788502490159 4499.253021091509254 1.069808594063044 4500.753022084817530 1.090000737388400 4502.253523161799421 1.108717422527480 4503.754524489178038 1.125585504825627 4505.256026233730154 1.140673615404725 4506.758028562285290 1.155288294398285 4508.260531641741181 1.170713938184544 4509.763535639039219 1.188475018176722 4511.267040721179001 1.208828479960335 4512.771047055211966 1.231574891572634 4514.275554808260495 1.255929916276040 4515.780564147485165 1.281624788925844 4517.286075240111131 1.308926221232000 4518.792088253411748 1.337238959732630 4520.298603354732222 1.366072487090121 4521.805620711456868 1.393850661291988 4523.313140491032755 1.420512666897915 4524.821162860958793 1.445878710382011 4526.329687988800288 1.470933529357909 4527.838716042167107 1.496150548910437 4529.348247188730056 1.522378498070256 4530.858281596208144 1.549293600831114 4532.368819432394957 1.576369948312671 4533.879860865120463 1.604443115599362 4535.391406062281021 1.632295852357061 4536.903455191819376 1.659769461911364 4538.416008421751030 1.685443042441553 4539.929065920132416 1.709333709723589 4541.442627855081810 1.729796711289044 4542.956694394767510 1.750232316738199 4544.471265707428756 1.772323511610947 4545.986341961345715 1.796938241250717 4547.501923324861309 1.823266741312721 4549.018009966368481 1.848714061656889 4550.534602054330207 1.874099387974552 4552.051699757253118 1.899359982752309 4553.569303243702961 1.926171612805754 4555.087412682301874 1.954905998662691 4556.606028241723834 1.986777030809920 4558.125150090714669 2.015558921319424 4559.644778398060225 2.039474043379787 4561.164913332607284 2.057567655343663 4562.685555063256288 2.072459926644667 4564.206703758976801 2.085491213702564 4565.728359588779313 2.098273423988300 4567.250522721738889 2.111890845358734 4568.773193326977889 2.125703883671266 4570.296371573692340 2.139274105152810 4571.820057631119198 2.150673197570556 4573.344251668557263 2.161690388219032 4574.868953855356267 2.172499144141080 4576.394164360937793 2.185176836936200 4577.919883354765261 2.197637523291657 4579.446111006361207 2.210507837666395 4580.972847485303646 2.222164677377520 4582.500092961237897 2.233937623639200 4584.027847603853843 2.245549522735263 4585.556111582902304 2.259489005808523 4587.084885068185031 2.273840717094886 4588.614168229575625 2.286516848106366 4590.143961236989526 2.298196626640433 4591.674264260404016 2.306264801563631 4593.205077469848220 2.313246494358436 4594.736401035421295 2.318867839502303 4596.268235127266053 2.324834339846794 4597.800579915586241 2.330160545828273 4599.333435570641996 2.334208203438594 4600.866802262746205 2.332883210032486 4602.400680162281787 2.331349354427929 4603.935069439676226 2.328722729018660 4605.469970265416123 2.322745413397462 4607.005382810041738 2.313726123237183 4608.541307244163363 2.301241608356736 4610.077743738435856 2.289017470032326 4611.614692463572283 2.275181945136238 4613.152153590342095 2.259093001427049 4614.690127289582961 2.239215152548765 4616.228613732176200 2.216034978307521 4617.767613089064071 2.187123208545581 4619.307125531242491 2.155639680912085 4620.847151229777410 2.123894039750957 4622.387690355778432 2.094987816126569 4623.928743080417007 2.065837313894318 4625.470309574915518 2.036081276729742 4627.012390010569106 2.004293713222338 4628.554984558714750 1.970164146230028 4630.098093390753093 1.935957007616347 4631.641716678134799 1.904090818103277 4633.185854592383293 1.876029695647540 4634.730507305064748 1.850423560132794 4636.275674987808088 1.824274245738990 4637.821357812292263 1.793910013585122 4639.367555950270798 1.760628086211576 4640.914269573537240 1.725378312416516 4642.461498853950616 1.690884481256645 4644.009243963419067 1.656234898540005 4645.557505073923494 1.621598579599124 4647.106282357489363 1.585204282023885 4648.655575986203075 1.547538365946364 4650.205386132207423 1.509476339988223 4651.755712967698855 1.475099751870373 4653.306556664945674 1.443858019598301 4654.857917396258927 1.414423010463648 4656.409795334012415 1.385635068741301 4657.962190650632692 1.357100280996158 4659.515103518616343 1.330607707760489 4661.068534110505425 1.306169134702352 4662.622482598902934 1.283948617090688 4664.176949156465525 1.261927390475927 4665.731933955920795 1.239673900505419 4667.287437170039993 1.216286923281538 4668.843458971657128 1.192708539993110 4670.399999533658956 1.169124632601843 4671.957059029003176 1.146721656710779 4673.514637630692050 1.125431043646126 4675.072735511790597 1.105704365398577 4676.631352845414767 1.086920823393745 4678.190489804754179 1.069411159400204 4679.750146563042108 1.053432032578609 4681.310323293572765 1.039056095209065 4682.871020169695839 1.027136110368077 4684.432237364830144 1.017520984858644 4685.993975052440874 1.009817563480143 4687.556233406052343 1.001661787748688 4689.119012599246162 0.991949538587434 4690.682312805673064 0.980725461633463 4692.246134199029257 0.969639153423560 4693.810476953070975 0.959196537497576 4695.375341241609931 0.950429317869251 4696.940727238530599 0.942599087286156 4698.506635117758378 0.935152403534247 4700.073065053284154 0.925598946526099 4701.640017219155197 0.913772101936833 4703.207491789472442 0.901180391739893 4704.775488938410490 0.890234358801785 4706.344008840183960 0.880220069701526 4707.913051669075685 0.869948325913010 4709.482617599416699 0.859784991094018 4711.052706805614434 0.849656238823828 4712.623319462117252 0.838903510226626 4714.194455743438084 0.827916500342194 4715.766115824143526 0.819304881049117 4717.338299878871112 0.811818518135646 4718.911008082303852 0.804565551915105 4720.484240609186600 0.797037852271511 4722.057997634318781 0.789830031972395 4723.632279332570761 0.783075057840448 4725.207085878859289 0.777203377164910 4726.782417448162050 0.772028705310225 4728.358274215510392 0.768059954476294 4729.934656356011146 0.764982703791983 4731.511564044811166 0.763825085362053 4733.088997457123696 0.764900214080000 4734.666956768213822 0.767080617617155 4736.245442153419390 0.769671313231566 4737.824453788123719 0.772745489926740 4739.403991847771977 0.776092799428362 4740.984056507863897 0.780244398514016 4742.564647943971977 0.785362890556901 4744.145766331712366 0.791029850675289 4745.727411846764880 0.797349705384451 4747.309584664868453 0.804344947263576 4748.892284961814767 0.813368517667928 4750.475512913469174 0.824451252140645 4752.059268695740684 0.836428215419239 4753.643552484602878 0.847611869000380 4755.228364456081181 0.857968902253405 4756.813704786277412 0.867288834225873 4758.399573651334322 0.876287807051015 4759.985971227459231 0.885240964491013 4761.572897690914942 0.895119307544656 4763.160353218036107 0.904036721207284 4764.748337985201033 0.911467804718518 4766.336852168852602 0.918007345335871 4767.925895945487355 0.925329115028271 4769.515469491676413 0.933866023854883 4771.105572984033643 0.943629118433486 4772.696206599237485 0.954251579282330 4774.287370514020040 0.965057681705788 4775.879064905186169 0.974952343629350 4777.471289949587117 0.984270326748883 4779.064045824135974 0.993212690950322 4780.657332705801309 1.001351632004860 4782.251150771624452 1.007977291990358 4783.845500198692207 1.013113064795330 4785.440381164153223 1.016916796781242 4787.035793845211629 1.019219611852839 4788.631738419146131 1.020265860968661 4790.228215063279094 1.020229549023239 4791.825223954996545 1.019334350468722 4793.422765271738172 1.016839230005473 4795.020839191019149 1.012233878089852 4796.619445890399220 1.005663949023019 4798.218585547499970 0.998073487899303 4799.818258340003922 0.990349946205613 4801.418464445647260 0.982585470530061 4803.019204042241654 0.974550786953936 4804.620477307641522 0.966605441750238 4806.222284419765856 0.958424665904703 4807.824625556588217 0.949810052481134 4809.427500896156744 0.941996685876673 4811.030910616563233 0.935685823561576 4812.634854895964963 0.930952752240649 4814.239333912573784 0.927185400487373 4815.844347844673393 0.923262348695958 4817.449896870593875 0.919021814636756 4819.055981168730796 0.915093904382015 4820.662600917531563 0.911446934633474 4822.269756295520892 0.908811817160228 4823.877447481265335 0.906803874363136 4825.485674653397837 0.904841956565293 4827.094437990605002 0.902066194153633 4828.703737671648923 0.898276097811100 4830.313573875335351 0.894414416091454 4831.923946780535516 0.890900307103657 4833.534856566173403 0.888682397425286 4835.146303411250301 0.888304306018882 4836.758287494810247 0.889678298588183 4838.370808995962761 0.892284412534395 4839.983868093871024 0.896166362875456 4841.597464967775522 0.901117456291762 4843.211599796958581 0.908310041846530 4844.826272760768916 0.917302490370566 4846.441484038608905 0.927061127358367 4848.057233809957324 0.937600405607765 4849.673522254337513 0.948637525620423 4851.290349551335567 0.959557552782370 4852.907715880599426 0.970011261821484 4854.525621421832511 0.979455315835687 4856.144066354811002 0.988547522661516 4857.763050859357463 0.997664686188431 4859.382575115358122 1.007482180397294 4861.002639302757416 1.018187668885421 4862.623243601569811 1.030347360060857 4864.244388191859798 1.043125258476150 4865.866073253752802 1.055525862031317 4867.488298967431547 1.066646506440243 4869.111065513154244 1.076954918219936 4870.734373071221853 1.087290799545016 4872.358221822003543 1.098591602358887 4873.982611945920326 1.111606205748475 4875.607543623470519 1.125999041499385 4877.233017035197918 1.140675748524339 4878.859032361709069 1.155221754354854 4880.485589783668729 1.169719874286106 4882.112689481815323 1.185397647159987 4883.740331636932751 1.202450339806224 4885.368516429868578 1.222049335710413 4886.997244041529484 1.243761647630335 4888.626514652894002 1.267205955341209 4890.256328444987048 1.289795872478709 4891.886685598899930 1.311338382331231 4893.517586295777619 1.332021073798755 4895.149030716841480 1.352483660451657 4896.781019043358356 1.371272786773664 4898.413551456660571 1.388443229871350 4900.046628138139567 1.404015704824197 4901.680249269244086 1.418702857496889 4903.314415031497447 1.431369377166295 4904.949125606469352 1.441530338348157 4906.584381175793169 1.449499172725870 4908.220181921158655 1.456496733738733 4909.856528024332874 1.462800311264143 4911.493419667126545 1.469937537488764 4913.130857031415871 1.477523836069091 4914.768840299133444 1.484982144789454 4916.407369652289162 1.491047592050349 4918.046445272933852 1.494762737921608 4919.686067343190189 1.495929658842694 4921.326236045230871 1.496493867100830 4922.966951561307724 1.496314502646600 4924.608214073718045 1.495252923610034 4926.250023764823709 1.492283301931186 4927.892380817042977 1.487710584765190 4929.535285412870508 1.481358919729011 4931.178737734846436 1.473437682733836 4932.822737965575470 1.462036791793983 4934.467286287719617 1.446985398294685 4936.112382884017279 1.428492664270971 4937.758027937250517 1.408343466773544 4939.404221630271422 1.387464645038081 4941.050964145982107 1.367296179125056 4942.698255667366539 1.346968200656676 4944.346096377450522 1.325094519081649 4945.994486459328073 1.301659204421215 4947.643426096148687 1.277338957068487 4949.292915471138258 1.253511277439035 4950.942954767568153 1.232268128819995 4952.593544168775225 1.213219687144091 4954.244683858159988 1.194356916397765 4955.896374019174800 1.174184515890033 4957.548614835353874 1.152100325986963 4959.201406490272348 1.128842330358654 4960.854749167574482 1.106766397794826 4962.508643050960018 1.086984499632079 4964.163088324204182 1.069829594846269 4965.818085171131315 1.054630611662528 4967.473633775627604 1.039847643136332 4969.129734321639262 1.024359486364503 4970.786386993186170 1.008911803495893 4972.443591974338233 0.993745616354410 4974.101349449227200 0.979651379408991 4975.759659602043030 0.966862239181481 4977.418522617054805 0.955149311830587 4979.077938678573446 0.943409098907038 4980.737907970979904 0.931536085845850 4982.398430678708792 0.919096774653404 4984.059506986273846 0.906720323245044 4985.721137078233369 0.895351934572854 4987.383321139213876 0.885813182924082 4989.046059353896453 0.877430940848526 4990.709351907040400 0.869535515188713 4992.373198983450493 0.860382344999044 4994.037600767998811 0.851019811388569 4995.702557445614730 0.842444774389212 4997.368069201302205 0.835322256147282 4999.034136220114306 0.829317154225608 5000.700758687167763 0.824595589505111 5002.367936787644794 0.818876355649176 5004.035670706781275 0.812202485932217 5005.703960629891299 0.805236387031538 5007.372806742336252 0.799409447849640 5009.042209229542095 0.794443889845650 5010.712168276992998 0.789236696384076 5012.382684070251344 0.783190900688324 5014.053756794924084 0.776976801598374 5015.725386636685471 0.769954329721398 5017.397573781267965 0.763039129022710 5019.070318414480425 0.756723944411056 5020.743620722177184 0.750963105392494 5022.417480890281695 0.744754547123401 5024.091899104772892 0.738380522987712 5025.766875551708836 0.732177939049227 5027.442410417190331 0.726814440608188 5029.118503887390034 0.721933806892779 5030.795156148533351 0.717387885362138 5032.472367386927544 0.713414932976980 5034.150137788923530 0.710228637304561 5035.828467540939528 0.707612194524133 5037.507356829451965 0.705578005620238 5039.186805841014575 0.703874797777647 5040.866814762227477 0.702317062871908 5042.547383779758093 0.700257772177475 5044.228513080332050 0.698031438724583 5045.910202850750466 0.695774622870934 5047.592453277863569 0.693388841890278 5049.275264548587074 0.690793436978523 5050.958636849896720 0.688077359621111 5052.642570368841916 0.684912912320790 5054.327065292523002 0.681642319976821 5056.012121808105803 0.677449325397744 5057.697740102817988 0.673300912480375 5059.383920363945435 0.669516231762058 5061.070662778852238 0.666429721067683 5062.757967534949785 0.663776407739279 5064.445834819714946 0.661640139591819 5066.134264820683711 0.659081573047466 5067.823257725471194 0.656370698234493 5069.512813721736165 0.653686678160312 5071.202932997207427 0.651366964228495 5072.893615739671986 0.649725778583632 5074.584862136993252 0.648187695169493 5076.276672377081923 0.646573718668973 5077.969046647916912 0.644673756465318 5079.661985137535339 0.642728403374327 5081.355488034050722 0.640843124893854 5083.049555525626602 0.639143358798171 5084.744187800491090 0.637063657680187 5086.439385046932330 0.634552352557826 5088.135147453314858 0.631949932343002 5089.831475208053234 0.629462781218559 5091.528368499627504 0.627140725049563 5093.225827516575919 0.624976811429823 5094.923852447514946 0.622928085875048 5096.622443481110167 0.621099146541361 5098.321600806092647 0.619157451423546 5100.021324611253476 0.617524434904878 5101.721615085461053 0.616598944183337 5103.422472417631070 0.616221873401388 5105.123896796747431 0.616213812915680 5106.825888411852247 0.617683718631140 5108.528447452065848 0.619676337786582 5110.231574106557673 0.621922297347020 5111.935268564562648 0.623905170620354 5113.639531015380271 0.626035760744488 5115.344361648368249 0.628528586170119 5117.049760652962505 0.631824710609457 5118.755728218646254 0.635037333621072 5120.462264534971837 0.638410888196910 5122.169369791548888 0.640904590027553 5123.877044178067081 0.642114318654097 5125.585287884261561 0.642496928732327 5127.294101099937507 0.643426670789187 5129.003484014958303 0.645259290471422 5130.713436819265553 0.647693740549528 5132.423959702849061 0.649677485941438 5134.135052855766844 0.651724331905485 5135.846716468135128 0.654687784973044 5137.558950730148354 0.658724734486367 5139.271755832050985 0.663737434354010 5140.985131964152970 0.669174373473301 5142.699079316826101 0.675085198500005 5144.413598080518568 0.681576684798184 5146.128688445727676 0.688672788183746 5147.844350603018029 0.695255925489498 5149.560584743013351 0.701850087997474 5151.277391056418310 0.707819627567548 5152.994769733983048 0.713111298073588 5154.712720966526831 0.717866097656833 5156.431244944929858 0.723350322310861 5158.150341860147819 0.728832938121981 5159.870011903186423 0.734179606263957 5161.590255265120504 0.737894980904677 5163.311072137088559 0.741193324642757 5165.032462710287291 0.746048952419206 5166.754427175992532 0.753193751485209 5168.476965725527407 0.761619423948097 5170.200078550286889 0.771176989982774 5171.923765841721433 0.780339620230387 5173.648027791363347 0.789560116597115 5175.372864590790414 0.798886092725564 5177.098276431653176 0.809500276379312 5178.824263505657655 0.821341353329339 5180.550826004589908 0.833186062233359 5182.277964120286924 0.842968909013664 5184.005678044652086 0.851087789365148 5185.733967969646983 0.857845879772107 5187.462834087316878 0.864134430980770 5189.192276589750691 0.870854352509481 5190.922295669110099 0.877443274829322 5192.652891517613170 0.884756977855302 5194.384064327558917 0.892153284571049 5196.115814291295464 0.900779936397327 5197.848141601238240 0.911105786411413 5199.581046449864516 0.924027797463146 5201.314529029727964 0.937556294761170 5203.048589533434097 0.951773125246217 5204.783228153654818 0.964972682757684 5206.518445083123879 0.978904281156627 5208.254240514652338 0.992681690979456 5209.990614641102184 1.006703731083604 5211.727567655403618 1.019595691512029 5213.465099750545050 1.032130974516154 5215.203211119597654 1.044163876352777 5216.941901955678986 1.056359305959672 5218.681172451977545 1.069353858071551 5220.421022801744584 1.082674695638447 5222.161453198292293 1.096173487132657 5223.902463835011986 1.109037786596132 5225.644054905344092 1.121594510753662 5227.386226602799070 1.132849983106323 5229.128979120945587 1.143367072442075 5230.872312653434165 1.151639361730109 5232.616227393962617 1.158254490830899 5234.360723536299702 1.163285329693299 5236.105801274272380 1.170142222545037 5237.851460801789472 1.177706738954549 5239.597702312807087 1.185639654994273 5241.344526001354097 1.192648305475818 5243.091932061513944 1.199970425473665 5244.839920687454651 1.208401436245321 5246.588492073392445 1.219177432408066 5248.337646413612674 1.231938156735906 5250.087383902459806 1.245675992589883 5251.837704734360159 1.258946822038940 5253.588609103789167 1.270970032647367 5255.340097205291386 1.284385978049149 5257.092169233470486 1.298613045477486 5258.844825383013813 1.313205387299925 5260.598065848653277 1.326672123775574 5262.351890825193550 1.337564011276855 5264.106300507501146 1.345334524271036 5265.861295090518979 1.352048736089138 5267.616874769240894 1.363425049200372 5269.373039738733496 1.378975165550384 5271.129790194117959 1.392935160613530 5272.887126330601859 1.405324308933457 5274.645048343438248 1.416821508823501 5276.403556427952935 1.428895247213406 5278.162650779533578 1.441441779907132 5279.922331593632407 1.454730894458570 5281.682599065778049 1.467923458877841 5283.443453391550975 1.478873300690819 5285.204894766602592 1.482789024118838 5286.966923386642520 1.484489566220959 5288.729539447462230 1.486732454048394 5290.492743144902306 1.488298437472811 5292.256534674876093 1.490055049168894 5294.020914233353324 1.491420004091248 5295.785882016387404 1.493948964908062 5297.551438220079945 1.496428185273950 5299.317583040604404 1.499740164731391 5301.084316674194270 1.502329943065624 5302.851639317163063 1.503632877928101 5304.619551165875237 1.502691256604579 5306.388052416765277 1.500263666190800 5308.157143266328603 1.498245745959554 5309.926823911140673 1.495469327483858 5311.697094547826055 1.493765302364758 5313.467955373083896 1.491525282119730 5315.239406583670643 1.489847678693047 5317.011448376424596 1.487711646670995 5318.784080948233168 1.486911426320910 5320.557304496056531 1.487342792538484 5322.331119216913066 1.490737095163160 5324.105525307905737 1.494642536206408 5325.880522966184799 1.498927345790549 5327.656112388971451 1.503088581560135 5329.432293773553283 1.506609805693319 5331.209067317279732 1.510483602895265 5332.986433217579361 1.514784702270235 5334.764391671933481 1.519679456567289 5336.542942877891619 1.525144030634823 5338.322087033065145 1.533271978332706 5340.101824335149104 1.543068655554616 5341.882154981885833 1.555958073899540 5343.663079171088611 1.569987856263433 5345.444597100634383 1.584864342073680 5347.226708968479215 1.599271058661791 5349.009414972631930 1.613488526226848 5350.792715311167740 1.627179349490466 5352.576610182228251 1.640832288612038 5354.361099784034195 1.653506464994081 5356.146184314857237 1.666781615792987 5357.931863973039071 1.681112847810764 5359.718138956983239 1.696136856446459 5361.505009465176954 1.712326974359399 5363.292475696154725 1.727817897218602 5365.080537848523818 1.743761797707825 5366.869196120953347 1.759369215022720 5368.658450712192462 1.775656354194805 5370.448301821043060 1.793233312325756 5372.238749646377983 1.813893391553976 5374.029794387128277 1.835568810383635 5375.821436242312302 1.853663802578231 5377.613675410993892 1.869145302797910 5379.406512092312369 1.882366977222010 5381.199946485465262 1.896466501976418 5382.993978789734683 1.912491991037831 5384.788609204451859 1.931379518895113 5386.583837929018955 1.952470180332069 5388.379665162907258 1.974739311706950 5390.176091105648084 1.994003207120004 5391.973115956854599 2.010595420101339 5393.770739916189996 2.026707149882446 5395.568963183390224 2.041705168347113 5397.367785958253990 2.056696319319477 5399.167208440660943 2.071262193322736 5400.967230830539847 2.085264256566331 5402.767853327895864 2.097691286027746 5404.569076132790542 2.108776918575896 5406.370899445370924 2.118071448461269 5408.173323465834983 2.127005461420830 5409.976348394451634 2.136224546194940 5411.779974431551636 2.146253155137624 5413.584201777548515 2.156914130943514 5415.389030632906724 2.167778270467448 5417.194461198163481 2.178222607911810 5419.000493673915116 2.187070423537099 5420.807128260844365 2.195470794720493 5422.614365159682166 2.202668300540085 5424.422204571232214 2.208582481929900 5426.230646696361873 2.213363916440876 5428.039691736017630 2.218205681543146 5429.849339891201453 2.222701066380303 5431.659591362983520 2.227485282212769 5433.470446352497675 2.232112750556597 5435.281905060961435 2.236460831805465 5437.093967689643250 2.239316465416997 5438.906634439882509 2.239024627497749 5440.719905513086815 2.238428119938175 5442.533781110723794 2.237951459685409 5444.348261434349297 2.239185780142304 5446.163346685563738 2.240408067051290 5447.979037066045748 2.241553253216472 5449.795332777530348 2.241428466763078 5451.612234021842596 2.239651577113027 5453.429741000852118 2.235615066723432 5455.247853916505846 2.230685719576090 5457.066572970808920 2.225506071063785 5458.885898365853791 2.219683938133265 5460.705830303782932 2.213331203494464 5462.526368986808848 2.205616034788801 5464.347514617209526 2.198084257514421 5466.169267397344811 2.190441070630080 5467.991627529627294 2.183962186677707 5469.814595216540511 2.179166100624750 5471.638170660630749 2.176756070320855 5473.462354064528881 2.176775225912448 5475.287145630916712 2.177166835101425 5477.112545562547893 2.176935986410678 5478.938554062240655 2.176161794773640 5480.765171332895079 2.174763188832577 5482.592397577462179 2.172709805995880 5484.420232998969368 2.170711929184389 5486.248677800501355 2.167908619055032 5488.077732185231071 2.163528521015462 5489.907396356381469 2.157324440623718 5491.737670517248262 2.150818382874087 5493.568554871189917 2.145567666139957 5495.400049621647668 2.140462680929327 5497.232154972117314 2.135567995074821 5499.064871126165599 2.129219053890754 5500.898198287427476 2.120975815337315 5502.732136659599746 2.110001201331162 5504.566686446465610 2.097777312372735 5506.401847851858292 2.086510927122975 5508.237621079682867 2.076053150920339 5510.074006333910802 2.065263882386308 5511.911003818595418 2.053456344128915 5513.748613737840969 2.041901461952441 5515.586836295828107 2.029883383877288 5517.425671696795689 2.019159845374679 5519.265120145071705 2.010327193953689 5521.105181845034167 2.002815799648543 5522.945857001133845 1.994658214510880 5524.787145817883356 1.986226547884820 5526.629048499882629 1.978418647521460 5528.471565251782522 1.971252184009102 5530.314696278306656 1.965054553281857 5532.158441784240495 1.958309763280689 5534.002801974457725 1.949566498527960 5535.847777053881146 1.937484039841158 5537.693367227507224 1.924694809804007 5539.539572700396093 1.913460364427465 5541.386393677693377 1.902777372608328 5543.233830364596542 1.892479794750701 5545.081882966374906 1.879835593942567 5546.930551688361447 1.864892713283679 5548.779836735978279 1.847900472190716 5550.629738314692077 1.831384717383310 5552.480256630050462 1.817572164762135 5554.331391887658356 1.804453668489440 5556.183144293210717 1.789904685677747 5558.035514052451617 1.775046157063394 5559.888501371199709 1.760821591848490 5561.742106455342764 1.746900696929568 5563.596329510830401 1.735206624553674 5565.451170743699549 1.724117867922709 5567.306630360038071 1.713371462355011 5569.162708566007495 1.702001460400248 5571.019405567834838 1.690204626840984 5572.876721571828966 1.677341346730445 5574.734656784352410 1.662821945857643 5576.593211411844095 1.647646787138627 5578.452385660804794 1.631871708551800 5580.312179737818951 1.615176666394161 5582.172593849525583 1.597455037451994 5584.033628202636464 1.579149019987757 5585.895283003928853 1.560814921099868 5587.757558460264590 1.542110140138762 5589.620454778556450 1.524859265501903 5591.483972165794512 1.510943231292329 5593.348110829028883 1.499348560573517 5595.212870975397891 1.487963943391551 5597.078252812091705 1.475905205027661 5598.944256546375073 1.463969396204752 5600.810882385575496 1.453043998257027 5602.678130537107791 1.443040752329533 5604.546001208438611 1.432489747202195 5606.414494607108281 1.420939728534125 5608.283610940721701 1.407676299017956 5610.153350416971080 1.394397042312003 5612.023713243597740 1.381157658306167 5613.894699628420312 1.367064398890237 5615.766309779326548 1.352418821891525 5617.638543904266953 1.338628665560178 5619.511402211279346 1.326094310854984 5621.384884908454296 1.315283867711827 5623.258992203955131 1.306752745383185 5625.133724306009753 1.299931734868498 5627.009081422935196 1.290882961158389 5628.885063763097605 1.279545170154720 5630.761671534939524 1.267333057410510 5632.638904946967159 1.256203418080158 5634.516764207773122 1.246007774379138 5636.395249526003681 1.235798701810168 5638.274361110377868 1.224576703401819 5640.154099169682013 1.211643558020742 5642.034463912787032 1.197970464695876 5643.915455548614773 1.186369574931856 5645.797074286166207 1.178071259668835 5647.679320334504155 1.171210962886498 5649.562193902777835 1.165734821713628 5651.445695200189220 1.158250866332019 5653.329824436017589 1.147595487211742 5655.214581819604973 1.134994377933530 5657.099967560378900 1.122196992388527 5658.985981867821465 1.110902802543014 5660.872624951491161 1.100093274315609 5662.759897021007419 1.090088344411341 5664.647798286079706 1.080446717351820 5666.536328956468424 1.070908730445119 5668.425489242010372 1.062108824006103 5670.315279352606922 1.054930927943095 5672.205699498246759 1.048459479474590 5674.096749888969498 1.041638479888475 5675.988430734892063 1.035281811233456 5677.880742246202317 1.028354946966977 5679.773684633150879 1.021059919064004 5681.667258106075678 1.012210008066213 5683.561462875368306 1.001857544772595 5685.456299151495841 0.991334235587473 5687.351767144990845 0.980472611087474 5689.247867066470462 0.970442449272600 5691.144599126608227 0.962364045060079 5693.041963536152252 0.956575437309856 5694.939960505914314 0.951159941006073 5696.838590246794411 0.946148786922485 5698.737852969746200 0.941680787029667 5700.637748885797919 0.938055492958173 5702.538278206045106 0.935486115166866 5704.439441141667885 0.932939226118658 5706.341237903900947 0.929672880869328 5708.243668704055381 0.926211506033579 5710.146733753505941 0.923064194582273 5712.050433263717423 0.920136290921305 5713.954767446203732 0.917205984088037 5715.859736512559721 0.914363105234830 5717.765340674442086 0.911952408629514 5719.671580143596657 0.910393350419075 5721.578455131821102 0.909275533967349 5723.485965850990397 0.908497264863060 5725.394112513045002 0.909270292374170 5727.302895330012689 0.912437365918752 5729.212314513975798 0.917205378873500 5731.122370277089431 0.922446763343239 5733.033062831578718 0.927855532878001 5734.944392389752466 0.933811355221706 5736.856359163976776 0.940540675469564 5738.768963366690514 0.947325972996885 5740.682205210406210 0.954165831012655 5742.596084907700060 0.961043820151587 5744.510602671238303 0.967776473384677 5746.425758713737196 0.973675364499405 5748.341553247993033 0.979673781691220 5750.257986486866685 0.986243032459534 5752.175058643305420 0.993806437530695 5754.092769930312897 1.003488081192138 5756.011120560966447 1.014545354765466 5757.930110748412517 1.026930946532821 5759.849740705882141 1.039163243354622 5761.770010646661831 1.051636126720112 5763.690920784115406 1.064998761126959 5765.612471331671259 1.078605073878219 5767.534662502846913 1.092007894149435 5769.457494511213554 1.104971201308603 5771.380967570418761 1.117166161680425 5773.305081894175601 1.126647222362619 5775.229837696287177 1.133785728731622 5777.155235190608437 1.141099141072307 5779.081274591073452 1.151131154672210 5781.007956111679960 1.161261391650358 5782.935279966514827 1.170530449787010 5784.863246369721310 1.179217186924080 5786.791855535515424 1.187918194213657 5788.721107678184126 1.198425243407722 5790.651003012097135 1.209650194138590 5792.581541751684199 1.222201012222996 5794.512724111447824 1.236017310384488 5796.444550305965095 1.248067164124919 5798.377020549875851 1.258167329748039 5800.310135057912703 1.269424665379501 5802.243894044860099 1.281391856208073 5804.178297725578886 1.294099746817518 5806.113346314996306 1.306806099822988 5808.049040028132367 1.320963238478770 5809.985379080056191 1.336704176464099 5811.922363685916935 1.350853789960800 5813.859994060929239 1.363679620073796 5815.798270420396875 1.375392324872565 5817.737192979679094 1.386920454733165 5819.676761954210633 1.396830440404203 5821.616977559493534 1.405743090616339 5823.557840011118969 1.413643560590589 5825.499349524732679 1.419492551851433 5827.441506316057712 1.422022427448952 5829.384310600884419 1.424026882287408 5831.327762595090462 1.428688637044520 5833.271862514608074 1.435090790217282 5835.216610575451341 1.442595879024718 5837.162006993696195 1.451294311484265 5839.108051985507700 1.459989847530308 5841.054745767110035 1.469528625756415 5843.002088554800139 1.480091999208782 5844.950080564945893 1.491940419447457 5846.898722014000668 1.503699223821898 5848.848013118475137 1.513052533474490 5850.797954094957277 1.520998821453796 5852.748545160100548 1.527638705244377 5854.699786530650272 1.533997668590583 5856.651678423404519 1.538168746619502 5858.604221055240487 1.541470065978169 5860.557414643106313 1.544121320275409 5862.511259404018347 1.544967426939001 5864.465755555082069 1.545693008529423 5866.420903313458439 1.544929944533319 5868.376702896385723 1.540691344474585 5870.333154521169490 1.532500202501712 5872.290258405203531 1.520075855250304 5874.248014765938933 1.504316496477252 5876.206423820905002 1.486659607348147 5878.165485787696525 1.467403548631315 5880.125200883996513 1.447104085805282 5882.085569327548910 1.426278313037925 5884.046591336169513 1.407132711314464 5886.008267127745967 1.389895771622092 5887.970596920252319 1.377182473299407 5889.933580931719916 1.368465871494857 5891.897219380258321 1.363224499136538 5893.861512484043487 1.362206428881653 5895.826460461341412 1.362820860690937 5897.792063530474479 1.365334319641017 5899.758321909843289 1.367191879517788 5901.725235817914836 1.368033791755120 5903.692805473247063 1.366758783848897 5905.661031094452483 1.362258351050866 5907.629912900221825 1.356583567881372 5909.599451109315851 1.350437782902245 5911.569645940582632 1.343369045514295 5913.540497612928448 1.336063703256792 5915.512006345334157 1.326164470787115 5917.484172356858835 1.315922204679304 5919.456995866625221 1.304437458730190 5921.430477093847003 1.290969367556853 5923.404616257794260 1.277118297461277 5925.379413577817104 1.263033990806727 5927.354869273329314 1.249175341537710 5929.330983563839254 1.235022847579106 5931.307756668909860 1.219309206493260 5933.285188808181374 1.203524867780571 5935.263280201363159 1.187617779268204 5937.242031068253709 1.172607210361128 5939.221441628709727 1.157438461878549 5941.201512102666129 1.142417583961399 5943.182242710123319 1.130581000754530 5945.163633671176285 1.120674843810336 5947.145685205970949 1.112815092350053 5949.128397534737815 1.107255200400638 5951.111770877771050 1.099509239654181 5953.095805455456684 1.091279839486007 5955.080501488238951 1.083028947094245 5957.065859196638485 1.075785934525266 5959.051878801244129 1.070348026057171 5961.038560522737498 1.065139367029210 5963.025904581854775 1.058966210453243 5965.013911199412178 1.050256564910272 5967.002580596294138 1.041168242047703 5968.991912993473306 1.031528547435473 5970.981908611984181 1.023044595861244 5972.972567672934019 1.016783230001068 5974.963890397502837 1.010972640755165 5976.955877006960691 1.006258376416821 5978.948527722634026 1.001825908889993 5980.941842765925685 0.997736261548628 5982.935822358318546 0.995326309048826 5984.930466721358243 0.993262721882822 5986.925776076684997 0.990888878320975 5988.921750645991779 0.988250358739996 5990.918390651056143 0.985530484949695 5992.915696313718399 0.984337608015194 5994.913667855915264 0.983890910691011 5996.912305499636204 0.984013593279115 5998.911609466953450 0.983854006312033 6000.911579980005627 0.980776733687338 6002.912217261022306 0.975948681596773 6004.913521532293089 0.970723866859632 6006.915493016182154 0.966870944097236 6008.918131935126439 0.963795889206063 6010.921438511652923 0.960406897737232 6012.925412968345881 0.957253195590434 6014.930055527868717 0.952872345066961 6016.935366412952135 0.948617159813155 6018.941345846424156 0.944646504355129 6020.947994051161004 0.942135585872333 6022.955311250127124 0.940359688622802 6024.963297666348808 0.936996072907855 6026.971953522950571 0.933487775663797 6028.981279043107861 0.929863679651964 6030.991274450080709 0.925566530676020 6033.001939967194630 0.920492003231878 6035.013275817869726 0.914394280926132 6037.025282225582487 0.908479920616930 6039.037959413888530 0.902868373829300 6041.051307606411683 0.898534073584365 6043.065327026870364 0.896290864070961 6045.080017899037557 0.894770241046045 6047.095380446769923 0.891281498262983 6049.111414893994151 0.887163013692122 6051.128121464709693 0.883135218914369 6053.145500383006947 0.880663258129799 6055.163551873030883 0.878971351589586 6057.182276159012872 0.876390316261782 6059.201673465247950 0.871204625947359 6061.221744016124831 0.863582180340542 6063.242488036091345 0.855880460818219 6065.263905749673540 0.848661655224401 6067.285997381467496 0.842269724083133 6069.308763156162968 0.835750849914241 6071.332203298504282 0.828168829395816 6073.356318033319440 0.818406123524624 6075.381107585502832 0.806833666266037 6077.406572180045259 0.795781765654237 6079.432712041989362 0.787197288283870 6081.459527396464182 0.779524374253465 6083.487018468663337 0.771013477500104 6085.515185483877758 0.760982000283619 6087.544028667452039 0.750571583935618 6089.573548244813537 0.738639201575330 6091.603744441458730 0.726939533872258 6093.634617482976864 0.717241964480678 6095.666167595013576 0.709073874754511 6097.698395003298174 0.700931077731459 6099.731299933626360 0.692736009549166 6101.764882611889334 0.684049017276975 6103.799143264033773 0.675886368688462 6105.834082116090940 0.668404916690915 6107.869699394162126 0.660895369620039 6109.905995324423202 0.653939208795442 6111.942970133139170 0.647187585475926 6113.980624046636876 0.640459951054700 6116.018957291322295 0.634166952178638 6118.057970093667791 0.628289303484638 6120.097662680245776 0.622904442979525 6122.138035277681411 0.617786730728593 6124.179088112682621 0.612605128257418 6126.220821412027362 0.608274391342571 6128.263235402586361 0.605302028874961 6130.306330311289457 0.603402037327914 6132.350106365146530 0.601663502930925 6134.394563791237488 0.599669120580099 6136.439702816736826 0.596844322862164 6138.485523668876340 0.593997756758182 6140.532026574970587 0.591292745588673 6142.579211762399609 0.589536497206328 6144.627079458642584 0.588815180366447 6146.675629891235076 0.589148616511833 6148.724863287791777 0.590380214093370 6150.774779876000139 0.591700576883619 6152.825379883641290 0.592292147694645 6154.876663538552748 0.592944262358848 6156.928631068656614 0.593816812027361 6158.981282701940472 0.595810234563638 6161.034618666491042 0.598261754705694 6163.088639190449612 0.600803300319665 6165.143344502042055 0.603741504173122 6167.198734829560635 0.607173619182398 6169.254810401396753 0.611751629883246 6171.311571445995469 0.616679617205512 6173.369018191886425 0.622334623659050 6175.427150867673845 0.628207141439114 6177.485969702034708 0.634404138581911 6179.545474923737856 0.640145998306640 6181.605666761610337 0.646055416003391 6183.666545444564690 0.651791068853678 6185.728111201578940 0.657383924724739 6187.790364261729337 0.661944582302628 6189.853304854148519 0.666060146486433 6191.916933208052797 0.670736383245702 6193.981249552727604 0.677234965445099 6196.046254117553872 0.684044498250266 6198.111947131969828 0.689985317241313 6200.178328825497374 0.695583892670863 6202.245399427729353 0.700793991948206 6204.313159168350467 0.706729228525778 6206.381608277107262 0.713164139048090 6208.450746983827230 0.719218459072589 6210.520575518407895 0.724700821591284 6212.591094110843187 0.727724224804687 6214.662302991183424 0.729092167083217 6216.734202389563507 0.730595256983656 6218.806792536189278 0.733166795008973 6220.880073661360257 0.736160069524108 6222.954045995434171 0.739171341300045 6225.028709768853332 0.741333447723367 6227.104065212129171 0.743889833560751 6229.180112555869528 0.748677135811298 6231.256852030739537 0.755652424149481 6233.334283867488921 0.764202069213907 6235.412408296935610 0.774317659995963 6237.491225549996670 0.784429415793896 6239.570735857645559 0.793800532096767 6241.650939450937585 0.803233011136255 6243.731836561006276 0.812642746450190 6245.813427419057916 0.823680034274410 6247.895712256391562 0.836317645790964 6249.978691304366293 0.847553244299886 6252.062364794424866 0.858107934682931 6254.146732958078246 0.868517006025998 6256.231796026937445 0.878185517792657 6258.317554232669863 0.888521397587453 6260.404007807026574 0.899972969051035 6262.491156981826862 0.912103770013670 6264.579001988991877 0.924490822126139 6266.667543060497337 0.934833182674190 6268.756780428401726 0.942861038566587 6270.846714324838103 0.950835971139963 6272.937344982033210 0.960852399003558 6275.028672632272901 0.972270711209009 6277.120697507927616 0.984219157991560 6279.213419841436917 0.996436663785161 6281.306839865339498 1.007749316469779 6283.400957812230445 1.018512467615381 6285.495773914790334 1.029213523489843 6287.591288405768864 1.041574870655203 6289.687501518014869 1.055543254369941 6291.784413484434481 1.070835813990376 6293.882024538017504 1.085253390536757 6295.980334911825594 1.098504090717389 6298.079344839016812 1.110428574463589 6300.179054552808338 1.120910702946684 6302.279464286501934 1.130448975335636 6304.380574273474849 1.139620419173096 6306.482384747179822 1.148349280371715 6308.584895941161449 1.158219536336537 6310.688108089027082 1.170221536289914 6312.792021424466839 1.183087136158039 6314.896636181241774 1.196114282064811 6317.001952593212991 1.209652833150523 6319.107970894295249 1.223640440217344 6321.214691318492441 1.239366549556332 6323.322114099877581 1.257049104191738 6325.430239472620997 1.276009568400140 6327.539067670953955 1.295947814943307 6329.648598929189575 1.314284295998114 6331.758833481713737 1.330096713585233 6333.869771563010545 1.344007581933468 6335.981413407621403 1.358462085776329 6338.093759250174116 1.372805525850260 6340.206809325366521 1.386688215419489 6342.320563867995588 1.399074046198102 6344.435023112914678 1.410225158127118 6346.550187295066280 1.422289943135862 6348.666056649461098 1.434280550548593 6350.782631411208058 1.444820394562440 6352.899911815476116 1.454965360738402 6355.017898097518810 1.464925379560640 6357.136590492661526 1.473128284416570 6359.255989236326968 1.481074278718452 6361.376094563997867 1.488698827901582 6363.496906711241536 1.495831490780074 6365.618425913697138 1.502565095417526 6367.740652407102061 1.507195984148865 6369.863586427252812 1.511427524319537 6371.987228210030480 1.516645854420491 6374.111577991396189 1.522526765049391 6376.236636007381094 1.529104725952420 6378.362402494116395 1.535708478770123 6380.488877687792410 1.541832821427047 6382.616061824683129 1.548464012857657 6384.743955141136212 1.555924880239105 6386.872557873597543 1.563672048799642 6389.001870258572126 1.571465167544609 6391.131892532649545 1.578613163981037 6393.262624932493054 1.584761202784481 6395.394067694864134 1.590458757845178 6397.526221056581562 1.595762791359570 6399.659085254553247 1.600719224262764 6401.792660525756219 1.605938296504947 6403.926947107267551 1.611145325389316 6406.061945236225256 1.618019900034873 6408.197655149849197 1.626030844396769 6410.334077085435638 1.633731035070224 6412.471211280376338 1.639289228470264 6414.609057972124901 1.642189970461696 6416.747617398219518 1.643008340034313 6418.886889796272953 1.643836467332132 6421.026875403993472 1.645670671701419 6423.167574459150273 1.648015822126754 6425.308987199600779 1.651186543440707 6427.451113863271530 1.653179207658962 6429.593954688190934 1.654475045971929 6431.737509912444693 1.654963646535867 6433.881779774206734 1.657029712257817 6436.026764511728288 1.661205707780407 6438.172464363335166 1.665965679703185 6440.318879567450495 1.670793340536289 6442.466010362559246 1.675146724703549 6444.613856987231884 1.679314624141174 6446.762419680110725 1.681645079225241 6448.911698679938127 1.683020701655802 6451.061694225516476 1.683417943005877 6453.212406555734560 1.684743123516789 6455.363835909553018 1.686545258859381 6457.515982526033440 1.690142764785876 6459.668846644295627 1.696309724532658 6461.822428503548508 1.703480262561849 6463.976728343070135 1.710532934079223 6466.131746402243152 1.715682453015680 6468.287482920503862 1.720117471092797 6470.443938137381338 1.724773408074859 6472.601112292473772 1.730626634011574 6474.759005625482132 1.735471904566078 6476.917618376162864 1.737494956958330 6479.076950784364271 1.736876112681928 6481.237003090004691 1.733029844595704 6483.397775533103413 1.728628580460888 6485.559268353737934 1.723869909467300 6487.721481792077611 1.720536573953590 6489.884416088358194 1.717700157211123 6492.048071482920932 1.715655020768931 6494.212448216165285 1.714486615015053 6496.377546528578023 1.717062180844508 6498.543366660716856 1.721577649554181 6500.709908853243178 1.726230688273139 6502.877173346878408 1.730299844206235 6505.045160382427639 1.733945767118276 6507.213870200778729 1.738398768967877 6509.383303042893203 1.742680737079508 6511.553459149832634 1.744720975194103 6513.724338762719526 1.744246309490368 6515.895942122760971 1.742639802023156 6518.068269471241365 1.740004019975639 6520.241321049541511 1.737337105946274 6522.415097099107697 1.734554633118889 6524.589597861468064 1.730759131142495 6526.764823578228970 1.726050002550646 6528.940774491094089 1.721312530261610 6531.117450841829850 1.717035724283997 6533.294852872289994 1.714246309011029 6535.472980824399201 1.709740452208495 6537.651834940187655 1.704645109411943 6539.831415461741926 1.698928619663796 6542.011722631237717 1.691709730783601 6544.192756690924398 1.684583577142987 6546.374517883154112 1.679197430955357 6548.557006450335393 1.674615244959405 6550.740222634969541 1.668420832272347 6552.924166679628797 1.659900350890569 6555.108838826986357 1.652482864039434 6557.294239319777262 1.646042915332827 6559.480368400823863 1.638130196385091 6561.667226313022184 1.630646769964323 6563.854813299371017 1.624013891113441 6566.043129602927365 1.617147459600420 6568.232175466838271 1.610374161379960 6570.421951134324445 1.602192379921508 6572.612456848707552 1.594423754449893 6574.803692853370194 1.589049225442599 6576.995659391783192 1.584472947311395 6579.188356707498315 1.580665312911983 6581.381785044142816 1.576471141585366 6583.575944645443087 1.567964020671275 6585.770835755188273 1.557773829152901 6587.966458617255739 1.548040496445776 6590.162813475595613 1.537888021801746 6592.359900574262610 1.526621527836538 6594.557720157368749 1.515664074583568 6596.756272469117903 1.503564340712467 6598.955557753786707 1.490638305363257 6601.155576255752749 1.477764828049437 6603.356328219455463 1.466678421542611 6605.557813889425233 1.459480393748273 6607.760033510262474 1.449600176866506 6609.962987326672192 1.437577426700087 6612.166675583421238 1.424789250905850 6614.371098525362868 1.413563418126728 6616.576256397426732 1.402709646614433 6618.782149444643437 1.392297386958221 6620.988777912106343 1.381978834149426 6623.196142044996122 1.370759004945717 6625.404242088567116 1.357235279152122 6627.613078288179167 1.342681927607732 6629.822650889252145 1.332331209179501 6632.032960137292321 1.323487260361121 6634.244006277883273 1.315644262335896 6636.455789556711352 1.308468795527349 6638.668310219522937 1.300134742806435 6640.881568512153535 1.291003689119735 6643.095564680520511 1.281452976604133 6645.310298970616714 1.272607896489166 6647.525771628537768 1.266603186199351 6649.741982900441144 1.262451846466624 6651.958933032570712 1.258778502470482 6654.176622271248561 1.254649154053221 6656.395050862898643 1.246809728470828 6658.614219054004934 1.236116437387119 6660.834127091142363 1.225566369882314 6663.054775220961346 1.215174723965028 6665.276163690213252 1.203395191373505 6667.498292745712206 1.189860518438755 6669.721162634361463 1.176143528375177 6671.944773603140675 1.162404742105808 6674.169125899130449 1.148740524904853 6676.394219769474148 1.136645729458148 6678.620055461404263 1.127798579451570 6680.846633222229684 1.119883019650293 6683.073953299362074 1.111025334219097 6685.302015940273122 1.102973640382400 6687.530821392526377 1.097544722786425 6689.760369903759965 1.093984835760712 6691.990661721714787 1.090458557277811 6694.221697094195406 1.086859823847696 6696.453476269092789 1.082251037349579 6698.685999494377029 1.075491347480463 6700.919267018118262 1.068323164009333 6703.153279088453019 1.062215456778886 6705.388035953602412 1.056735348127726 6707.623537861867590 1.050073362759909 6709.859785061650655 1.043224500022901 6712.096777801416465 1.035839495793113 6714.334516329719918 1.028381056485928 6716.573000895199584 1.018922627216480 6718.812231746567704 1.008552693797222 6721.052209132642020 0.999903599545040 6723.292933302302117 0.992216119092957 6725.534404504516715 0.983834950012446 6727.776622988332747 0.975842454099735 6730.019589002897192 0.968430440700221 6732.263302797424330 0.960727913161827 6734.507764621213937 0.952654608921939 6736.752974723644002 0.943246118668684 6738.998933354196197 0.936347168769736 6741.245640762414041 0.930457101040017 6743.493097197932912 0.923261571393420 6745.741302910461854 0.915351419916544 6747.990258149817237 0.909595527526086 6750.239963165873633 0.905132506260689 6752.490418208600204 0.901355464816993 6754.741623528039781 0.896807227075968 6756.993579374340698 0.891246168804788 6759.246285997713130 0.886563255738223 6761.499743648456388 0.881378639323035 6763.753952576949814 0.876477618370468 6766.008913033674617 0.872002793221489 6768.264625269173848 0.867136555192094 6770.521089534082421 0.862111727302216 6772.778306079112554 0.856376119010062 6775.036275155080148 0.852130756136377 6777.294997012862041 0.850247737764690 6779.554471903428748 0.849038632226039 6781.814700077825364 0.846423812634785 6784.075681787202484 0.843838543973005 6786.337417282774368 0.842262534063017 6788.599906815843497 0.843105096570730 6790.863150637797844 0.844382425308405 6793.127149000102690 0.843393414286230 6795.391902154326999 0.838397466568330 6797.657410352103398 0.827178867599852 6799.923673845153644 0.808112163232731 6802.190692885278622 0.782420059775990 6804.458467724383809 0.754588606843683 6806.726998614437434 0.726560251471472 6808.996285807497770 0.699266517059650 6811.266329555700395 0.676254869008862 6813.537130111288207 0.659231145942613 6815.808687726563221 0.649126220845245 6818.081002653921132 0.642895177634809 6820.354075145835850 0.642274635937076 6822.627905454883148 0.646429319234389 6824.902493833705194 0.655368776319095 6827.177840535034193 0.666164649032247 6829.453945811677841 0.677374837777879 6831.730809916552971 0.686485074753654 6834.008433102634626 0.690418024879911 6836.286815622994254 0.689259414086540 6838.565957730778791 0.687138431429745 6840.845859679238856 0.687487702128873 6843.126521721689642 0.693665919556442 6845.407944111539109 0.703042660807508 6847.690127102271617 0.714059661741992 6849.973070947477026 0.725408123459827 6852.256775900807042 0.737223405019890 6854.541242216009778 0.748595957478219 6856.826470146912470 0.759153153021551 6859.112459947422394 0.768342992343667 6861.399211871554144 0.776032684295003 6863.686726173382340 0.783290860423774 6865.975003107076191 0.789877568269507 6868.264042926882212 0.795480831066966 6870.553845887150601 0.799470169622965 6872.844412242298858 0.801320643704612 6875.135742246831796 0.802148154566347 6877.427836155337900 0.803755113910969 6879.720694222505699 0.807422874203956 6882.014316703091026 0.812631094109482 6884.308703851940663 0.818895481502682 6886.603855923980518 0.824888533089622 6888.899773174239272 0.829099446075428 6891.196455857814726 0.832179772612229 6893.493904229891086 0.836707806152200 6895.792118545735320 0.843422433021687 6898.091099060718079 0.850969093684762 6900.390846030274588 0.858095090717193 6902.691359709931930 0.863482872715042 6904.992640355296317 0.867264279469527 6907.294688222078548 0.867947852643738 6909.597503566055821 0.866550696505286 6911.901086643096278 0.864703915055441 6914.205437709146281 0.863745450569525 6916.510557020259512 0.861191787956419 6918.816444832552406 0.857107325485169 6921.123101402235079 0.851855230890378 6923.430526985595861 0.846493566643656 6925.738721839029495 0.841393190796444 6928.047686218995295 0.837156216655043 6930.357420382044438 0.835123161682877 6932.667924584813591 0.833389774729589 6934.979199084018546 0.831771927458003 6937.291244136482419 0.830538424441395 6939.604059999091987 0.829253803569983 6941.917646928825889 0.825975773930688 6944.232005182743706 0.822350892863315 6946.547135018008703 0.818674738437931 6948.863036691852358 0.818023675866955 6951.179710461595278 0.818817540100328 6953.497156584639924 0.818506750895197 6955.815375318494262 0.816450457907005 6958.134366920729917 0.814404986214340 6960.454131649014016 0.812659094743075 6962.774669761090991 0.813045006182992 6965.095981514810774 0.816009252268800 6967.418067168092421 0.819387034663247 6969.740926978944117 0.821838020702816 6972.064561205454083 0.820198218844589 6974.388970105818771 0.817938977820975 6976.714153938299205 0.816507611367382 6979.040112961247360 0.816770765217953 6981.366847433097064 0.817259807587802 6983.694357612388558 0.817907568075696 6986.022643757727565 0.818470996925339 6988.351706127810758 0.818783953030678 6990.681544981417574 0.818728686208101 6993.012160577432951 0.818863021792541 6995.343553174806402 0.818209387060792 6997.675723032582027 0.816428983049968 7000.008670409889419 0.814405138469327 7002.342395565938205 0.812236513872010 7004.676898760044423 0.809788497475333 7007.012180251592326 0.806665329822727 7009.348240300056204 0.801188945172678 7011.685079164990384 0.795346460577709 7014.022697106059240 0.789920260238965 7016.361094382990814 0.787616323888702 7018.700271255606822 0.789250072110660 7021.040227983808109 0.792149855521556 7023.380964827604657 0.794656661585572 7025.722482047071935 0.795590194305359 7028.064779902377268 0.796495653515810 7030.407858653768926 0.800102899343941 7032.751718561604321 0.808429581645115 7035.096359886304526 0.817231557205329 7037.441782888385205 0.825314188269571 7039.787987828442056 0.827961971473300 7042.134974967178096 0.826191907953817 7044.482744565363646 0.824085821867266 7046.831296883860887 0.823309316920998 7049.180632183613852 0.824535464770592 7051.530750725672988 0.825846332900857 7053.881652771156951 0.824710423155167 7056.233338581275348 0.822071864593281 7058.585808417321459 0.819767280277569 7060.939062540693158 0.818442586338002 7063.293101212857437 0.820252171422868 7065.647924695373149 0.823320589744528 7068.003533249881002 0.826495879680067 7070.359927138128114 0.829181348838066 7072.717106621930725 0.831379585132121 7075.075071963197843 0.833327051488960 7077.433823423923968 0.834818261385635 7079.793361266185457 0.835162601713821 7082.153685752168712 0.834492749002218 7084.514797144123804 0.834051099333267 7086.876695704398117 0.837173372534897 7089.239381695415432 0.841736345231506 7091.602855379712310 0.846135263382374 7093.967117019889884 0.849620640544118 7096.332166878642965 0.852793245753503 7098.698005218747312 0.855834816044131 7101.064632303089638 0.858852937234085 7103.432048394620324 0.860758010831829 7105.800253756386155 0.860538358100788 7108.169248651513044 0.858530720011004 7110.539033343238771 0.853261471281290 7112.909608094863870 0.848655901707343 7115.280973169785284 0.845834812308701 7117.653128831482718 0.845244590197310 7120.026075343541379 0.845223603824718 7122.399812969616505 0.844922802405780 7124.774341973456103 0.845114000051987 7127.149662618889124 0.848196020072629 7129.525775169854569 0.854947050938303 7131.902679890357831 0.863419591765801 7134.280377044499801 0.872492698654371 7136.658866896461404 0.880857529525258 7139.038149710533617 0.889239794290328 7141.418225751074715 0.896355813749778 7143.799095282536655 0.903939215927479 7146.180758569454156 0.912069293538560 7148.563215876471077 0.920742960375567 7150.946467468295850 0.929444962767144 7153.330513609736045 0.936928993754359 7155.715354565685629 0.942881450756382 7158.100990601118610 0.945027382839293 7160.487421981120860 0.945608179012228 7162.874648970843737 0.944525780837518 7165.262671835535002 0.942994114461426 7167.651490840524275 0.941247711136490 7170.041106251248493 0.940210874506345 7172.431518333213717 0.942411544433574 7174.822727352022412 0.945444855808012 7177.214733573356170 0.948083894835136 7179.607537263008453 0.949440237457248 7182.001138686839113 0.951651555843329 7184.395538110803500 0.954273436476233 7186.790735800938819 0.958125828935344 7189.186732023392324 0.962369472468099 7191.583527044379480 0.966424383463862 7193.981121130211250 0.969872927613972 7196.379514547277722 0.969496563523499 7198.778707562082673 0.967232574419264 7201.178700441196270 0.964254942000406 7203.579493451283270 0.962354340838946 7205.981086859093011 0.962483446327763 7208.383480931482154 0.963231799097509 7210.786675935376479 0.966785009483178 7213.190672137798174 0.971798992781257 7215.595469805849461 0.976633054140007 7218.001069206746251 0.980937693772318 7220.407470607769028 0.986329963184522 7222.814674276295591 0.994981874166992 7225.222680479793780 1.004582933643529 7227.631489485812381 1.013461473764273 7230.041101562010226 1.020190809470286 7232.451516976117091 1.025242777891753 7234.862735995954608 1.026180049586195 7237.274758889429904 1.025444314842146 7239.687585924559244 1.025200130140230 7242.101217369428014 1.026059631035498 7244.515653492218007 1.025919001987692 7246.930894561191053 1.024001302348028 7249.346940844723576 1.022129350485483 7251.763792611255667 1.022037891078181 7254.181450129328368 1.024322024400233 7256.599913667562760 1.030361773898870 7259.019183494690878 1.041389506366860 7261.439259879513884 1.053278758095695 7263.860143090928432 1.064870176917034 7266.281833397913942 1.075714851756330 7268.704331069563523 1.085133874863975 7271.127636375034854 1.092755546332175 7273.551749583584751 1.100486423839060 7275.976670964550067 1.112050891117929 7278.402400787383158 1.128228748441321 7280.828939321602775 1.141345743912076 7283.256286836822255 1.150789669282968 7285.684443602739520 1.158867785364678 7288.113409889166178 1.164792424414357 7290.543185965979319 1.170170099560901 7292.973772103154261 1.176769115261787 7295.405168570748174 1.184077639366036 7297.837375638931007 1.190410149539133 7300.270393577940922 1.190723186783436 7302.704222658113395 1.183775712313028 7305.138863149873032 1.175922038585405 7307.574315323729934 1.168974097465449 7310.010579450302430 1.166096355374862 7312.447655800280700 1.167830161858851 7314.885544644450420 1.170280546301343 7317.324246253680030 1.173541498306763 7319.763760898952569 1.176737048793299 7322.204088851317465 1.180681590940552 7324.645230381921465 1.186896555595533 7327.087185761995897 1.195915475376468 7329.529955262883050 1.204370880066478 7331.973539155996150 1.211114665237302 7334.417937712842104 1.215202117161028 7336.863151205016038 1.221466523598718 7339.309179904220400 1.231727109298957 7341.756024082231306 1.241933865558823 7344.203684010917641 1.248297835767975 7346.652159962236510 1.251123310127483 7349.101452208255068 1.252695974687556 7351.551561021108682 1.252067084500674 7354.002486673032763 1.251317885485954 7356.454229436343667 1.250734216846018 7358.906789583473255 1.249268477524127 7361.360167386920693 1.240642277379088 7363.814363119282461 1.226166854010196 7366.269377053240532 1.212479474959098 7368.725209461588747 1.204294440852027 7371.181860617190978 1.198536080645440 7373.639330793006593 1.192815296656352 7376.097620262081364 1.189252177503086 7378.556729297573838 1.189173945524633 7381.016658172709867 1.194909873516049 7383.477407160816256 1.201358564550755 7385.938976535308029 1.209903757403682 7388.401366569686616 1.216252710121937 7390.864577537565310 1.217049561288423 7393.328609712627440 1.215360580926459 7395.793463368653647 1.211152994595054 7398.259138779509158 1.204119929186480 7400.725636219171975 1.191256165862888 7403.192955961691951 1.171985923505076 7405.661098281214436 1.150660402797244 7408.130063451970273 1.134338804412437 7410.599851748303990 1.122108659774914 7413.070463444628331 1.115777462614553 7415.541898815456079 1.113319350552789 7418.014158135384605 1.112826938275524 7420.487241679123144 1.116021394531850 7422.961149721451875 1.124278760985815 7425.435882537249199 1.134493353449022 7427.911440401478103 1.140332624716548 7430.387823589216168 1.138200544213748 7432.865032375608280 1.131673443905255 7435.343067035900276 1.123621763443110 7437.821927845422579 1.115014303239196 7440.301615079618387 1.104343720989571 7442.782129014001839 1.092508673243312 7445.263469924184392 1.080210963621496 7447.745638085863902 1.071876582634064 7450.228633774851914 1.069176587591575 7452.712457267029095 1.071389904473635 7455.197108838375243 1.075556751391043 7457.682588764963839 1.079266397743487 7460.168897322952034 1.083276530005171 7462.656034788609759 1.090061757382838 7465.144001438279702 1.098963485937460 7467.632797548400958 1.105400700240451 7470.122423395500846 1.110049438652824 7472.612879256217639 1.110553823987712 7475.104165407263281 1.107889067881882 7477.596282125445214 1.102603172717769 7480.089229687659099 1.096608881986718 7482.583008370913376 1.091754382921866 7485.077618452287425 1.090278820036543 7487.573060208959760 1.087498906635089 7490.069333918195298 1.084372924127791 7492.566439857371734 1.082673162404791 7495.064378303937701 1.081718003231646 7497.563149535442790 1.080843160478688 7500.062753829520261 1.080396437060395 7502.563191463918884 1.084558387295137 7505.064462716457456 1.090368338214649 7507.566567865054822 1.095885908996046 7510.069507187716226 1.097483960449164 7512.573280962559693 1.097963807827380 7515.077889467776004 1.098547010840720 7517.583332981654166 1.096914174828275 7520.089611782569591 1.084370753986324 7522.596726149012284 1.057431750753221 7525.104676359544101 1.015841181446143 7527.613462692825124 0.955878936879284 7530.123085427601836 0.881560246570700 7532.633544842737138 0.798093401236548 7535.144841217163048 0.710369162620185 7537.656974829912542 0.621990823205263 7540.169945960111363 0.537005425682535 7542.683754886969837 0.468590821651895 7545.198401889818342 0.424354367485211 7547.713887248050924 0.398528498925951 7550.230211241168945 0.387416270886596 7552.747374148753806 0.389311444361396 7555.265376250507870 0.403391943866813 7557.784217826199892 0.425380227712063 7560.303899155701401 0.451101498536503 7562.824420518969418 0.477029083156877 7565.345782196078289 0.498560300894763 7567.867984467170572 0.509299387901363 7570.391027612490689 0.515866772270943 7572.914911912369462 0.526104935747297 7575.439637647254131 0.540824421927326 7577.965205097661965 0.563060533208226 7580.491614544212098 0.588084231595954 7583.018866267607336 0.614959376641669 7585.546960548670540 0.643845517248948 7588.075897668291873 0.677431165234606 7590.605677907466088 0.720017840404034 7593.136301547270705 0.769525743938374 7595.667768868903295 0.812823040501768 7598.200080153627823 0.851431393097279 7600.733235682813756 0.888867066639618 7603.267235737915144 0.923584460445047 7605.802080600502450 0.957348792952422 7608.337770552217989 0.993141982581508 7610.874305874805032 1.035239306829126 7613.411686850092337 1.077544605024209 7615.949913760026902 1.110385100971456 7618.488986886626662 1.135260870934306 7621.028906512010508 1.156736946569097 7623.569672918391916 1.176366691543383 7626.111286388069857 1.193679631701485 7628.653747203462444 1.210342268276668 7631.197055647056914 1.226383546310338 7633.741212001443273 1.237025235125923 7636.286216549297933 1.239598829972604 7638.832069573414628 1.238100480323257 7641.378771356657126 1.233493455225453 7643.926322181993783 1.229614439382192 7646.474722332477540 1.231673031460079 7649.023972091278665 1.239499012778506 7651.574071741641092 1.248727295659475 7654.125021566907890 1.257242472968106 7656.676821850510350 1.260920034203960 7659.229472875997089 1.264121851435809 7661.782974926989482 1.267693288075605 7664.337328287208948 1.273690190819764 7666.892533240465127 1.282415675439693 7669.448590070684986 1.293072563209385 7672.005499061867340 1.303034216307135 7674.563260498112868 1.308428892882652 7677.121874663609560 1.305241407112137 7679.681341842663642 1.294070264494120 7682.241662319653187 1.286739111424250 7684.802836379056316 1.286332103637198 7687.364864305442097 1.287396561904428 7689.927746383495105 1.284635408296198 7692.491482897972674 1.278139537575655 7695.056074133733091 1.266949369396993 7697.621520375732871 1.253229616067367 7700.187821909012200 1.240088233545545 7702.754979018732229 1.239248434035739 7705.322991990124137 1.243775037326316 7707.891861108523699 1.246417424376710 7710.461586659352179 1.242569541198022 7713.032168928149986 1.239565321454841 7715.603608200530289 1.243106462035647 7718.175904762208120 1.248025064637870 7720.749058898986732 1.250293419282658 7723.323070896788522 1.248607359911276 7725.897941041605009 1.241614299670270 7728.473669619534121 1.234160271524981 7731.050256916761100 1.229573769278242 7733.627703219586692 1.229951084445694 7736.206008814388042 1.228952819187709 7738.785173987642338 1.220359159901572 7741.365199025915899 1.209311120853028 7743.946084215894189 1.200571913324600 7746.527829844334519 1.200574767720135 7749.110436198096977 1.212511415078855 7751.693903564130778 1.230846708967227 7754.278232229502464 1.248045276740623 7756.863422481353155 1.257569053463132 7759.449474606924923 1.262532670205422 7762.036388893548974 1.267853385557860 7764.624165628676565 1.276656795324708 7767.212805099831712 1.283057197834369 7769.802307594638478 1.285576368870992 7772.392673400813692 1.276994381037699 7774.983902806190599 1.258599373333249 7777.575996098676114 1.241170240528174 7780.168953566279924 1.235905396864831 7782.762775497109033 1.244044270508173 7785.357462179357753 1.257374253457306 7787.953013901339546 1.272650644666288 7790.549430951443355 1.289457629149818 7793.146713618157264 1.300172628550481 7795.744862190063031 1.312055369539009 7798.343876955857013 1.329904048003372 7800.943758204312871 1.349689508633999 7803.544506224305223 1.362461517088765 7806.146121304798726 1.357654544413220 7808.748603734876269 1.342386835528386 7811.351953803696233 1.322757386170814 7813.956171800519769 1.301575995533478 7816.561258014694431 1.282575513116195 7819.167212735692374 1.275946857247065 7821.774036253054874 1.271982221992402 7824.381728856430527 1.267023085290841 7826.990290835552514 1.255460532586866 7829.599722480279524 1.246970784295331 7832.210024080538460 1.245572480470228 7834.821195926364453 1.245319710327622 7837.433238307878128 1.241500483619668 7840.046151515323800 1.231903984207920 7842.659935839016725 1.218946404029790 7845.274591569376753 1.197631027868329 7847.890118996913770 1.176110580447642 7850.506518412257719 1.173487420746545 7853.123790106112210 1.189308798815993 7855.741934369284536 1.205930396875118 7858.360951492680215 1.212828229362607 7860.980841767292077 1.215517974168277 7863.601605484236643 1.224182618689556 7866.223242934700465 1.241580624700437 7868.845754409977417 1.262949728206834 7871.469140201449591 1.286836148961737 7874.093400600620043 1.306445203970178 7876.718535899064591 1.305505336415934 7879.344546388466370 1.292997924177562 7881.971432360595827 1.274688803383666 7884.599194107344374 1.264397840315504 7887.227831920678000 1.258125415978506 7889.857346092668195 1.251105783821517 7892.487736915474670 1.240434140505800 7895.119004681379010 1.228310667448105 7897.751149682737378 1.217320168962521 7900.384172212007797 1.207078018095832 7903.018072561742883 1.197505775677730 7905.652851024613483 1.197618533026966 7908.288507893364113 1.210072536605139 7910.925043460845700 1.222997266403885 7913.562458019999212 1.230294316602736 7916.200751863886580 1.230616227780478 7918.839925285643403 1.231032080177737 7921.479978578511691 1.232231752659293 7924.120912035820766 1.228299953315568 7926.762725951026368 1.222472737556054 7929.405420617653363 1.216860835746482 7932.048996329335750 1.212892376480887 7934.693453379795756 1.210497770901890 7937.338792062877474 1.208010476921340 7939.985012672499579 1.206925612438019 7942.632115502687157 1.210318153648238 7945.280100847562608 1.214065922360188 7947.928969001338373 1.217073330653743 7950.578720258348767 1.219056375272255 7953.229354913002680 1.220534998377701 7955.880873259816326 1.222288973761951 7958.533275593393228 1.223188796672946 7961.186562208460600 1.221941337841438 7963.840733399822057 1.218555346353321 7966.495789462383982 1.210351376022969 7969.151730691144621 1.197524422705255 7971.808557381225000 1.182814905602689 7974.466269827819815 1.172315617641361 7977.124868326231081 1.167565708396630 7979.784353171849943 1.163643117318906 7982.444724660190332 1.154289221443489 7985.105983086842571 1.137138494462271 7987.768128747500668 1.116993765722480 7990.431161937951401 1.099854954408242 7993.095082954102509 1.090397114638751 7995.759892091938127 1.092525652206165 7998.425589647546985 1.099899821269541 8001.092175917111490 1.106479173956333 8003.759651196933191 1.110110847380828 8006.428015783391857 1.112486944504378 8009.097269972970935 1.114358005224392 8011.767414062247553 1.115707567117486 8014.438448347918893 1.116260701772735 8017.110373126760351 1.115782411922829 8019.783188695651006 1.112350026353516 8022.456895351562707 1.096398487710793 8025.131493391590084 1.078899367103956 8027.806983112903254 1.068631202028055 8030.483364812778746 1.064491361422008 8033.160638788591314 1.066354847227729 8035.838805337808481 1.069626833465636 8038.517864758019641 1.075329825010268 8041.197817346891497 1.084221354639439 8043.878663402196253 1.091896029112055 8046.560403221796150 1.099032128082515 8049.243037103679853 1.109298025727764 8051.926565345908784 1.119699762289750 8054.610988246654415 1.123848283735351 8057.296306104175528 1.119623381923816 8059.982519216859146 1.107361402649658 8062.669627883163230 1.091793482614739 8065.357632401657611 1.077125206524852 8068.046533070999430 1.064775835628719 8070.736330189972250 1.056330879416856 8073.427024057435119 1.049884495734548 8076.118614972353498 1.044390195662058 8078.811103233784706 1.038777983650638 8081.504489140910664 1.032140805736837 8084.198772992987870 1.026851513820945 8086.893955089381052 1.024129203975975 8089.590035729547708 1.018267503890678 8092.287015213068116 1.009477076345064 8094.984893839598044 0.999367190179361 8097.683671908903307 0.991631583975002 8100.383349720837941 0.984548043661318 8103.083927575384223 0.971739068292405 8105.785405772597187 0.956296931871328 8108.487784612641008 0.945143813040752 8111.191064395780813 0.939247039696213 8113.895245422372682 0.932868917076774 8116.600327992896382 0.924470334113786 8119.306312407909900 0.914441690854989 8122.013198968077631 0.901201574705450 8124.720987974155832 0.885395673882127 8127.429679727028088 0.871120347444565 8130.139274527649832 0.862434275462020 8132.849772677089277 0.852854635823574 8135.561174476502856 0.835545146410428 8138.273480227175241 0.813996549418766 8140.986690230463864 0.795869007386633 8143.700804787838933 0.782460793031648 8146.415824200857969 0.769632174603849 8149.131748771207640 0.757857600172983 8151.848578800649193 0.744179022129976 8154.566314591052105 0.727955122631510 8157.284956444379532 0.711125791094363 8160.004504662718318 0.696363136868433 8162.724959548232619 0.684834646960531 8165.446321403195725 0.670249523284690 8168.168590529971880 0.652085158982149 8170.891767231052654 0.633394332114941 8173.615851809005107 0.618718041063636 8176.340844566505439 0.606066928324477 8179.066745806320796 0.593170546451204 8181.793555831347476 0.579072400328366 8184.521274944555444 0.565858729865821 8187.249903449024714 0.557619485611513 8189.979441647928070 0.551833827543343 8192.709889844563804 0.551647964774725 8195.441248342305698 0.553865332509117 8198.173517444640311 0.555324176877753 8200.906697455151516 0.552262144292437 8203.640788677519595 0.547458666179984 8206.375791415544882 0.545512969963613 8209.111705973113203 0.545133998940772 8211.848532654212249 0.542811469875921 8214.586271762926117 0.536590243488654 8217.324923603464413 0.531807723915215 8220.064488480114960 0.527661803268329 8222.804966697271084 0.522544999093373 8225.546358559424334 0.517949203925139 8228.288664371189952 0.515856761883528 8231.031884437259578 0.514225213012155 8233.776019062435807 0.515501145949452 8236.521068551614007 0.519123753038957 8239.267033209818692 0.522618972952019 8242.013913342145315 0.518108843874370 8244.761709253803929 0.509856957845012 8247.510421250097352 0.501992351008056 8250.260049636453914 0.495897931875531 8253.010594718380162 0.492942851794462 8255.762056801491781 0.495764238027586 8258.514436191500863 0.499554355109368 8261.267733194239554 0.498510029774305 8264.021948115623672 0.495813015971427 8266.777081261678177 0.492998741709618 8269.533132938520794 0.496750795844394 8272.290103452392941 0.502649163828497 8275.047993109619711 0.512266554869855 8277.806802216631695 0.521820398222486 8280.566531079954075 0.528147953506599 8283.327180006242997 0.530156053054025 8286.088749302225551 0.531084902809769 8288.851239274745240 0.527115581820230 8291.614650230745610 0.514079742718991 8294.378982477261161 0.490566221301346 8297.144236321459175 0.463472626924326 8299.910412070579696 0.443144475827714 8302.677510031977363 0.431965174797053 8305.445530513099584 0.420608314976899 8308.214473821519277 0.408426616703318 8310.984340264887578 0.399086315915190 8313.755130150970217 0.394207690134164 8316.526843787623875 0.398102711002234 8319.299481482830743 0.420728285053621 8322.073043544656684 0.458386045395625 8324.847530281273066 0.493863560364282 8327.622942000949479 0.502424637425424 8330.399279012079205 0.501603430616645 8333.176541623139201 0.506379453331805 8335.954730142711924 0.523518222095011 8338.733844879476237 0.541742193555250 8341.513886142240153 0.559491224470671 8344.294854239889901 0.575935238420171 8347.076749481420848 0.586158472272616 8349.859572175922949 0.586860114898227 8352.643322632618947 0.572322546536583 8355.428001160802523 0.559510788067533 8358.213608069883776 0.544415200051826 8361.000143669365571 0.525723306037180 8363.787608268879922 0.504105310274954 8366.576002178138879 0.488118156223409 8369.365325706961812 0.484018379375635 8372.155579165273593 0.485380114321522 8374.946762863093682 0.484864631550013 8377.738877110572503 0.490160068364213 8380.531922217933243 0.513288872414064 8383.325898495517322 0.541363264048181 8386.120806253757110 0.574495344195282 8388.916645803214124 0.627683515796804 8391.713417454529917 0.680878014349185 8394.511121518457003 0.723641009931532 8397.309758305840660 0.742650751999594 8400.109328127660774 0.750550308950696 8402.909831294968171 0.759616864810565 8405.711268118933731 0.764376840569065 8408.513638910817463 0.765537287106192 8411.316943982012162 0.771046691159454 8414.121183643987024 0.782776639547324 8416.926358208324018 0.779573484320632 8419.732467986699703 0.779800028089082 8422.539513290925242 0.785363161120712 8425.347494432880922 0.796049678777346 8428.156411724567079 0.803846584313121 8430.966265478076821 0.806851073598301 8433.777056005634222 0.817697158856901 8436.588783619539754 0.837783686322060 8439.401448632206666 0.860143104028243 8442.215051356146432 0.873913454633006 8445.029592103997857 0.885988705616153 8447.845071188479778 0.892508403347715 8450.661488922421995 0.896779048230355 8453.478845618752530 0.906037806887908 8456.297141590526735 0.925624698698838 8459.116377150881817 0.959243836906245 8461.936552613065942 0.995283071802722 8464.757668290430956 1.024692746584416 8467.579724496425115 1.045088336017936 8470.402721544627639 1.063736615626295 8473.226659748697784 1.078196289818262 8476.051539422405767 1.087393216831614 8478.877360879618209 1.093333006255552 8481.704124434332698 1.099669703868970 8484.531830400623221 1.110552366474969 8487.360479092683818 1.119837585232752 8490.190070824797658 1.128930119031666 8493.020605911378880 1.141979592309381 8495.852084666927112 1.158997817729271 8498.684507406049306 1.173416900783702 8501.517874443448818 1.182141715783884 8504.352186093963610 1.191260330983636 8507.187442672508041 1.203191385365517 8510.023644494109249 1.213554188349189 8512.860791873894414 1.212956659038047 8515.698885127118047 1.207347005383088 8518.537924569116512 1.206881710757191 8521.377910515335316 1.217864485114904 8524.218843281323643 1.229957683836850 8527.060723182756192 1.244877282489634 8529.903550535389513 1.265430087451608 8532.747325655091117 1.296091203120181 8535.592048857830378 1.334717817701383 8538.437720459703996 1.381150271972174 8541.284340776886893 1.427785028864118 8544.131910125674040 1.473003767041992 8546.980428822458634 1.509705405592818 8549.829897183735739 1.542318110987843 8552.680315526129561 1.575845708074972 8555.531684166346167 1.604585883201244 8558.384003421202578 1.621780747138001 8561.237273607614043 1.630869787232318 8564.091495042630413 1.631932001039535 8566.946668043376121 1.627708528956127 8569.802792927095652 1.621525683478120 8572.659870011124440 1.619194495638613 8575.517899612932524 1.619902872722465 8578.376882050073618 1.619473108911987 8581.236817640210575 1.623285877537681 8584.097706701104471 1.644512049139533 8586.959549550649172 1.670629724704930 8589.822346506820395 1.695478602290818 8592.686097887704818 1.720316301754042 8595.550804011490982 1.748503327816761 8598.416465196492936 1.781301976037403 8601.283081761112044 1.809813955154569 8604.150654023860625 1.841823845127502 8607.019182303347407 1.876275808173827 8609.888666918317540 1.906482444937208 8612.759108187592574 1.929044968158246 8615.630506430110472 1.933277370635757 8618.502861964907424 1.916363850310572 8621.376175111150587 1.897919329145016 8624.250446188088972 1.881744125656214 8627.125675515086186 1.870993084423456 8630.001863411602244 1.864157592395343 8632.879010197231764 1.851555776816862 8635.757116191649402 1.840760623307122 8638.636181714644408 1.840665479407796 8641.516207086113354 1.846908007251184 8644.397192626049218 1.876779480044981 8647.279138654581402 1.927088297761774 8650.162045491913887 1.979312849999908 8653.045913458372524 2.028673115341074 8655.930742874375937 2.059570605402109 8658.816534060479171 2.069667874153929 8661.703287337319125 2.073269984226016 8664.591003025643658 2.075623892658386 8667.479681446302493 2.077390170818491 8670.369322920276318 2.074587107833015 8673.259927768627676 2.062391604583849 8676.151496312537347 2.046616937987810 8679.044028873278876 2.048004752453527 8681.937525772262234 2.039578453939942 8684.831987330981065 2.032804429106597 8687.727413871041790 2.047772536727035 8690.623805714147238 2.074067989457430 8693.521163182138480 2.096307137101740