SN 1993J IIb in M81 (NGC 3031, Sab)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN 1993J IIb in M81 (NGC 3031, Sab).  See
          Leda:  M81.
DISCOVERY:  1993mar28.9 UT by Francisco Garcia.  See {richmond1994}.
MAX:  1993apr17.2 UT in UVOIR bolometric from {richmond1994}.  This is neary V maximum too.
           This day of the year 107.
SUPERNOVA of the YEAR:  10.

HEADER:  D. J. Jeffery (2006jan01).

REF:

       {barbon1995}
\bibitem[Barbon et al.(1995)]{barbon1995}
        Barbon, R., Benetti, S., Cappellaro, E., Patat, F., Turatto, M., \&~Iijima, T.
        1995, A\&AS, 110, 513
%ADS Reference
         % SN 1993J in M 81: One year of observations at Asiago.

       {houck1994}
\bibitem[Houck \&~Frannson(1994)]{houck1994}
    Houck, J. C., \&~Fransson, C.  1994,
    American Astronomical Society, 185th AAS Meeting, #79.07; Bulletin of the American Astronomical Society, Vol.~26, p.~1444

% ADS reference.
     % Analysis of the Late Spectra of SN 1993J (IIb) and SN 1994I (Ic).

       {richmond1994}
\bibitem[richmond et al.(1994)]{richmond1994}
    Richmond, M. W., Treffers, R. R., Filippenko, A. V., Paik, Y., Leibundgut, B., Schulman, E., \& Cox, C. V.
    AJ, 107, 1022

% ADS reference.
     % UBVRI photometry of SN 1993J in M81: The first 120 days.
     % The UVOIR bolometric maximum was JD 2449094.70 +/- 1 (see p. 1035).  This is 1993apr17:4:48 = 17.2 exactly.
     % B maximum was 2449093.7 (see p. 1033).
     % V maximum was 2449095.0 (see p. 1033).
     % These are secondary maxima since there was a UV spike just after shock breackout:  the
     % decline from the spike was observed.
     % Estimate time of core collapse JD 2449074.4 +/- .2  (see p. 1029).  This is 1993mar27:21:36 = 27.9 exactly.
     % See US Navy Observatory Julian Date Converter.


REP:  F_lambda (erg/cm2/s/A) ??? vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted ??? (heliocentric velocity -39 +/- 2 km/s (a blueshift) and
        v_hel corrected for CMB radiation 46 km/s from
      Leda:  M81.
      not dereddened ??? (Galactic foreground .35/4... =.0875
     Schlegel et al. (1998).
      Total extinction is probably not very different.
      not smoothed ????, not photometric ????
      Derived maximum in some band is 2002apr10 (see above).

OBS:  {barbon1995}

Date: 1993mar31 (2449078.35416669) with 1993apr17.2 (107, JD 2449094.70) for bolometric maximum gives:
      day = 78.35 - 94.70 = -16.35

      from explosion 2449078.35416669 - 2449074.4  = 4.0


&specnamelist aname='sn1993J IIb 1993_03_31' ebv=.0875 epoch= -16.35 ! This parameter needs to updated for the particular spectrum. 78.35-74.4 = 4 days using Richmond's explosion date. iformat=1 itick=2 itickln=4 power=0.d0 ! Physically this should always be 0d0, but other values can used for testing if different continuums lead ! to closely approximating locally normalized spectra. t_rise=20.4d0 ! From \citet{richmond} v_helio=-39. ymin2=3.d-14 ymax2=3.8d-13 ymin3=.6 ymax3=1.2 wlammin1=3469. wlammax1=9606. wlammin2=3469. wlammax2=9606. wlammin3=3469. ! The blue end may be OK. wlammax3=8925. /
./figure/sn1993j_1993_03_31.gif Postscript plot of the spectrum.
./figure/sn1993j_1993_03_31.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. SIMPLE = T / Written by IDL: Mon Jul 31 18:55:29 2000 BITPIX = -32 / FITS BITS/PIXEL NAXIS = 1 / NUMBER OF AXES NAXIS1 = 6138 / OBJECT = '49078.354 1993J 31/03/93 Asi182+B&C+300tr [SNe] (res 11A)' / ORIGIN = 'KPNO-IRAF' / DATE = '03-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE IRAF-MAX= 0.000000E0 / DATA MAX IRAF-MIN= 0.000000E0 / DATA MIN IRAF-BPX= 32 / DATA BITS/PIXEL IRAFTYPE= 'REAL ' / PIXEL TYPE ORIGIN = 'KPNO-IRAF' / DATE = '03-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE ORIGIN = 'KPNO-IRAF' / DATE = '02-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE ORIGIN = 'KPNO-IRAF' / DATE = '02-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE ORIGIN = 'KPNO-IRAF' / DATE = '01-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE ORIGIN = 'KPNO-IRAF' / DATE = '01-11-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE ORIGIN = 'NOAO-IRAF FITS Image Kernel Aug 1 1997' / FITS file originator DATE = '01/11/99' / HISTORY CRPIX1 = 1 / Reference pixel CRVAL1 = 3469 / Coordinate at reference pixel CDELT1 = 1 / Coordinate increment per pixel CTYPE1 = 'EQUISPEC' / Units of coordinate BUNIT = ' e ' / Units of data values HISTORY MIDASFTP= 'IMAGE ' / MIDAS File Type HISTORY RA = 0 / MIDAS desc.: O_POS(1) DEC = 0 / MIDAS desc.: O_POS(2) DATE-OBS= '31/03/93' / MIDAS desc.: O_TIME(1) TM-START= 0 / MIDAS desc.: O_TIME(5) EXPTIME = 600 / MIDAS desc.: O_TIME(7) HISTORY "object range 0021,0025 HISTORY sky 0010,0014 and 0031,0035 HISTORY \ HISTORY \ HISTORY COMPUTE/IMAG TEMP = sn014L/600 \ HISTORY COMPUTE/IMAG sn014N = TEMP*EXP10(0.4*middumex*1.08636E+00) \ HISTORY COMPUTE/IMAG sn014E = sn014N/rbc300_blu \ HISTORY COMPUTE/IMAG b51 = s93j_b51/corr51 \ HISTORY AVERAGE/IMAG blu300 = b51,b52 me\ HISTORY rge 0.00000E+00 AV + COMPUTE/IMAG blu300 = b HISTORY lu300*1.187 AVERAGE/IMAG HISTORY s 93j_310393 = blu300,mid300,red300 merge 0.00000E+00 AV + AIRMASS = 1.08636045456 / MIDAS desc.: O_AIRM(1) HISTORY HISTORY HISTORY ESO-DESCRIPTORS START ................ HISTORY 'LHCUTS' ,'R*4 ' , 1, 4,'5E14.7',' ',' ' HISTORY 2.5787327E+00 3.7276226E+01 2.5787327E+00 3.7276226E+01 HISTORY HISTORY ESO-DESCRIPTORS END ................ HISTORY UT = 20:30 JD = 2449078.35416669 IDENT = '49078.354 1993J 31/03/93 Asi182+B&C+300tr [SNe] (res 11A)' HISTORY 'ESO-MIDAS' / Written by MIDAS HISTORY '10/04/95' / Date of writting: DD/MM/YY APNUM1 = '1 1 ' WCSDIM = 1 CD1_1 = 1. LTM1_1 = 1. WAT0_001= 'system=equispec' WAT1_001= 'wtype=linear label=equispec' HISTORY New copy of 1993J_19930331.fits HISTORY New copy of 1993J_19930331.fits HISTORY New copy of 1993J_19930331a.fits HISTORY New copy of 1993J_19930331a.fits HISTORY New copy of 1993J_19930331a.fits HISTORY New copy of 1993J_19930331a.fits END END: 3470.312754988692632 0.986483296424189 3471.469718723599726 0.987580125656167 3472.627068177367619 0.988678223794243 3473.784803478587946 0.989964673791458 3474.942924755904642 0.992143339986666 3476.101432137993925 0.995358701159438 3477.260325753579764 0.998302856557635 3478.419605731423871 1.000499924244996 3479.579272200342530 1.000527985648519 3480.739325289183398 0.998744274292452 3481.899765126842340 0.996502635279831 3483.060591842252506 0.994216948444998 3484.221805564402530 0.991538557228770 3485.383406422312419 0.988043796630493 3486.545394545048566 0.983535642052374 3487.707770061717383 0.978501785196707 3488.870533101479396 0.974508609873680 3490.033683793526507 0.972830678975219 3491.197222267097004 0.972640780839793 3492.361148651470103 0.972597385464942 3493.525463075978223 0.971737833096461 3494.690165669986072 0.969596271931726 3495.855256562904287 0.966972663655571 3497.020735884184887 0.964467502520012 3498.186603763331732 0.962324068159474 3499.352860329882787 0.960350592423036 3500.519505713421950 0.958377098188858 3501.686540043576315 0.957193885473631 3502.853963450012998 0.957294749273517 3504.021776062453227 0.958767465887354 3505.189978010649611 0.961061064523008 3506.358569424402504 0.963384476517520 3507.527550433552278 0.965287741887598 3508.696921167992514 0.967185434946835 3509.866681757649985 0.969285000025941 3511.036832332497852 0.971345156969157 3512.207373022549291 0.972913544770491 3513.378303957871594 0.973963120483280 3514.549625268564341 0.975076320136268 3515.721337084775314 0.977030368316406 3516.893439536689584 0.979793544064350 3518.065932754549522 0.982819429696994 3519.238816868627509 0.985236545539669 3520.412092009244589 0.986199034161763 3521.585758306760454 0.985104865840004 3522.759815891590279 0.982498607692277 3523.934264894180615 0.979033605552275 3525.109105445026671 0.975376580242049 3526.284337674662311 0.971914877721552 3527.459961713675511 0.968700629989581 3528.635977692688357 0.966008266179735 3529.812385742369315 0.964146004148557 3530.989185993425963 0.963757112846934 3532.166378576622265 0.965272305981486 3533.343963622752653 0.968560811039250 3534.521941262660675 0.972816722967057 3535.700311627228530 0.977003580907270 3536.879074847393895 0.980513837025361 3538.058231054127191 0.983278814754140 3539.237780378445223 0.985489203072938 3540.417722951408905 0.987174076427790 3541.598058904119625 0.988111303986387 3542.778788367732886 0.988017399126051 3543.959911473437842 0.986954112311311 3545.141428352470029 0.985406582658636 3546.323339136104551 0.984071950135435 3547.505643955673804 0.983594675427208 3548.688342942540203 0.984321974418750 3549.871436228114817 0.985732001167690 3551.054923943849190 0.987233689760162 3552.238806221248979 0.988333182202337 3553.423083191853038 0.988933675039957 3554.607754987247972 0.989322322180944 3555.792821739060400 0.989906140618968 3556.978283578971059 0.990443267875987 3558.164140638694789 0.990338176990471 3559.350393049993272 0.989040366872631 3560.537040944668661 0.986647056928043 3561.724084454578588 0.984217687694374 3562.911523711612062 0.982771343009031 3564.099358847707663 0.982644521929728 3565.287589994843074 0.983317274593611 3566.476217285051462 0.983881187867966 3567.665240850398732 0.983736148708826 3568.854660822998994 0.983375232141718 3570.044477335005467 0.983526768135381 3571.234690518628668 0.984574936134158 3572.425300506109124 0.986190420487910 3573.616307429738299 0.987388759656368 3574.807711421849490 0.987569962104841 3575.999512614817831 0.987089295786065 3577.191711141072119 0.986778432629907 3578.384307133076163 0.987316672086314 3579.577300723340159 0.988651053950349 3580.770692044415682 0.987875810361682 3581.964481228908426 0.985121036066516 3583.158668409458187 0.981635078766879 3584.353253718752967 0.977723991248507 3585.548237289520330 0.974011597015583 3586.743619254543773 0.970830296680544 3587.939399746639538 0.967887718436480 3589.135578898672065 0.964747888209730 3590.332156843546727 0.962639796123434 3591.529133714224372 0.962643205956683 3592.726509643698137 0.963222097995449 3593.924284765009816 0.964584706412482 3595.122459211242131 0.966710238631578 3596.321033115532828 0.969322334266680 3597.520006611053304 0.972205489942154 3598.719379831022707 0.975395612788321 3599.919152908700653 0.978948698776819 3601.119325977403150 0.982297751686744 3602.319899170478948 0.985016177446145 3603.520872621324997 0.987579822671391 3604.722246463379179 0.990346531865597 3605.924020830134850 0.993348466913531 3607.126195855118567 0.996283283831375 3608.328771671905997 0.998624556397698 3609.531748414111917 0.999957321197515 3610.735126215408854 1.000517098460401 3611.938905209501172 1.001264967480071 3613.143085530141889 1.003008727127346 3614.347667311129953 1.005810911515533 3615.552650686302513 1.008674456711729 3616.758035789554924 1.010121375173147 3617.963822754815283 1.009872056068590 3619.170011716059889 1.008714508532563 3620.376602807305062 1.007882838749013 3621.583596162625327 1.008228206568854 3622.790991916126586 1.009418618635957 3623.998790201963857 1.010488836136264 3625.206991154333082 1.010819014949337 3626.415594907487048 1.010470353562622 3627.624601595710374 1.010229995394551 3628.834011353338155 1.010958752110694 3630.043824314744597 1.012579034994302 3631.254040614361202 1.014372717851352 3632.464660386653122 1.015513644630810 3633.675683766132806 1.015586853741143 3634.887110887355448 1.015055134020838 3636.098941884930809 1.014409850958758 3637.311176893503671 1.013885695533405 3638.523816047766559 1.013683972059391 3639.736859482453838 1.014084847338362 3640.950307332354896 1.015071123482379 3642.164159732293683 1.016483873169598 3643.378416817143261 1.018106544049974 3644.593078721816710 1.019824674325505 3645.808145581283952 1.021756642254255 3647.023617530549473 1.024081669229764 3648.239494704664594 1.026901782214841 3649.455777238723840 1.029932066578519 3650.672465267876760 1.032332001671502 3651.889558927307462 1.033471758354139 3653.107058352248714 1.033329415197670 3654.324963677977394 1.032397062709769 3655.543275039813579 1.031416272047180 3656.761992573132375 1.030690160875633 3657.981116413342988 1.029967940942349 3659.200646695903288 1.028860273520708 3660.420583556313431 1.027197197820993 3661.640927130129512 1.025215329022953 3662.861677552940819 1.023694143848005 3664.082834960387117 1.022963771783846 3665.304399488148192 1.022939005763214 3666.526371271961125 1.023213469443286 3667.748750447597104 1.023368242248024 3668.971537150875520 1.023382601386460 3670.194731517658511 1.023218787138972 3671.418333683863239 1.022874640268210 3672.642343785441881 1.022409985527585 3673.866761958396637 1.021917517365263 3675.091588338768815 1.021420174215253 3676.316823062658386 1.021006870970174 3677.542466266198971 1.020899472224718 3678.768518085572850 1.021524979556193 3679.994978657004140 1.022857643067360 3681.221848116774254 1.024602611514807 3682.449126601197804 1.026471372520990 3683.676814246639424 1.028176498533413 3684.904911189504674 1.029572807567049 3686.133417566256412 1.030561011251529 3687.362333513391604 1.030739117261491 3688.591659167456783 1.029890185442663 3689.821394665043499 1.028300108233322 3691.051540142784688 1.025955087016680 3692.282095737371947 1.023135188229208 3693.513061585528703 1.020381276754836 3694.744437824029774 1.018285204261346 3695.976224589689991 1.016866824019447 3697.208422019383306 1.015810031817775 3698.441030250016411 1.014908055341747 3699.674049418545110 1.014551158189312 3700.907479661968409 1.014507726469539 3702.141321117341249 1.014396705737396 3703.375573921754039 1.014305723793473 3704.610238212344939 1.014507854646254 3705.845314126296216 1.015203686349912 3707.080801800845165 1.016218028033363 3708.316701373265005 1.017277793802609 3709.553012980877611 1.018156088734105 3710.789736761047152 1.018855504527162 3712.026872851195094 1.019599310055415 3713.264421388777009 1.020618588778356 3714.502382511298947 1.021974723806048 3715.740756356307429 1.023382941290816 3716.979543061407639 1.024240448485291 3718.218742764238868 1.024214283104170 3719.458355602489519 1.023484848905950 3720.698381713891195 1.022725628145310 3721.938821236231433 1.022458266260334 3723.179674307333698 1.022673104852424 3724.420941065070110 1.023168993456631 3725.662621647355536 1.023726387666586 3726.904716192162141 1.024162971155029 3728.147224837496651 1.024435482768164 3729.390147721415815 1.024552433681384 3730.633484982021400 1.024491100951235 3731.877236757458832 1.024188977364622 3733.121403185930376 1.023513189841592 3734.365984405672407 1.022515369176443 3735.610980554972684 1.021498174865935 3736.856391772159441 1.020801755933158 3738.102218195619571 1.020490177153840 3739.348459963774076 1.020458414750079 3740.595117215095343 1.020509026016825 3741.842190088095776 1.020548335535848 3743.089678721347354 1.020585389228769 3744.337583253456160 1.020715476185793 3745.585903823078297 1.021004225809730 3746.834640568911254 1.021275690961388 3748.083793629712545 1.021204306719202 3749.333363144272425 1.020666718586587 3750.583349251432082 1.020068908455859 3751.833752090074995 1.020262707455899 3753.084571799142395 1.021459392782634 3754.335808517610531 1.023036411360626 3755.587462384505670 1.023797821120834 3756.839533538896831 1.023058855771553 3758.092022119910325 1.021512177027751 3759.344928266707939 1.020203161814438 3760.598252118501932 1.019815751687353 3761.851993814545494 1.019915516191614 3763.106153494152295 1.019411538869349 3764.360731296668291 1.017559692265664 3765.615727361492191 1.014514552536800 3766.871141828063173 1.011575961840592 3768.126974835879992 1.009793351242446 3769.383226524475504 1.009269524552318 3770.639897033433954 1.009250651012555 3771.896986502384152 1.008887274921281 3773.154495070999928 1.008148798562755 3774.412422879011956 1.007578298082760 3775.670770066185469 1.007833720286275 3776.929536772337542 1.008955582385398 3778.188723137327088 1.010589369301899 3779.448329301071681 1.012463276040778 3780.708355403523001 1.014492457677569 3781.968801584684570 1.016484197877269 3783.229667984601747 1.018145586276115 3784.490954743379007 1.019352389779166 3785.752662001154931 1.020268934571402 3787.014789898119034 1.021234650201047 3788.277338574504938 1.022254214157314 3789.540308170602202 1.022977934720200 3790.803698826738128 1.022929379832461 3792.067510683288674 1.022325540551218 3793.331743880673912 1.021844526768685 3794.596398559371664 1.022501814119690 3795.861474859895679 1.024554414039440 3797.126972922809273 1.027035170562993 3798.392892888720326 1.028876223000973 3799.659234898293562 1.029513923398305 3800.925999092230086 1.029723502469187 3802.193185611281933 1.030554985880965 3803.460794596243431 1.032402882634797 3804.728826187967115 1.034762712936570 3805.997280527342355 1.036429723578279 3807.266157755308086 1.036891905347638 3808.535458012850995 1.036488078772678 3809.805181441000514 1.036198193789790 3811.075328180844281 1.036563337859583 3812.345898373506316 1.037393811914449 3813.616892160161115 1.038103919335646 3814.888309682026375 1.038369699377592 3816.160151080378000 1.038454278637907 3817.432416496528276 1.038856644445941 3818.705106071839509 1.039883817985083 3819.978219947718571 1.041020217363792 3821.251758265629633 1.041449736443743 3822.525721167073243 1.040711818360781 3823.800108793601339 1.039159298933515 3825.074921286807694 1.037881170178594 3826.350158788347017 1.037482630891116 3827.625821439907668 1.037986430840646 3828.901909383230304 1.038862786634365 3830.178422760098329 1.039618667821170 3831.455361712354261 1.040057004302548 3832.732726381877001 1.040229227066966 3834.010516910595015 1.040514471119091 3835.288733440482247 1.041277743634969 3836.567376113569480 1.042743383183199 3837.846445071924791 1.044772311252318 3839.125940457666729 1.046760529579818 3840.405862412957504 1.048118619233155 3841.686211080018893 1.048419873963358 3842.966986601107692 1.048125739382350 3844.248189118532537 1.048208102289927 3845.529818774644809 1.049429311232967 3846.811875711855919 1.051817289816155 3848.094360072612744 1.054262641418535 3849.377271999413551 1.055964231192574 3850.660611634803900 1.056708514498959 3851.944379121373458 1.057167119730588 3853.228574601771015 1.058005127312357 3854.513198218680827 1.059420048411729 3855.798250114838538 1.061214003850435 3857.083730433024357 1.062998231469258 3858.369639316077155 1.064670716778917 3859.655976906871274 1.066270202692397 3860.942743348333806 1.067828140544550 3862.229938783434136 1.069154554385358 3863.517563355202583 1.069886699565445 3864.805617206704028 1.069565451554855 3866.094100481055648 1.068512645479358 3867.383013321418730 1.067191380691344 3868.672355871013679 1.065988753745343 3869.962128273095914 1.064907398581433 3871.252330670974516 1.063689909739051 3872.542963208001311 1.062133607701548 3873.834026027587242 1.060394787054083 3875.125519273180089 1.059068268947876 3876.417443088279015 1.058660678827376 3877.709797616427295 1.059158758933993 3879.002583001227322 1.059760503526005 3880.295799386318777 1.059857175407166 3881.589446915391818 1.059397882282083 3882.883525732181170 1.059022720446435 3884.178035980481582 1.059226983372215 3885.472977804122820 1.059848746890066 3886.768351346988311 1.060124081903429 3888.064156753007865 1.059612089332785 3889.360394166155857 1.058675419824235 3890.657063730466689 1.058269528865249 3891.954165590010689 1.059020154637319 3893.251699888910480 1.060576601930806 3894.549666771332795 1.061996943072072 3895.848066381503486 1.062418050745479 3897.146898863686147 1.062186602416696 3898.446164362194395 1.062203661796431 3899.745863021387777 1.063432122293448 3901.045994985684956 1.065450776341814 3902.346560399540977 1.067194397803425 3903.647559407463632 1.067768135742230 3904.948992154003918 1.067230999195654 3906.250858783773310 1.066493042678214 3907.553159441420121 1.066143969096179 3908.855894271644502 1.066072512772828 3910.159063419190261 1.065676483258650 3911.462667028862143 1.064553528081878 3912.766705245500816 1.062613251266928 3914.071178214000156 1.060221862811778 3915.376086079296783 1.057501710124937 3916.681428986388710 1.054498099758022 3917.987207080310327 1.051353100667822 3919.293420506147868 1.048038153386480 3920.600069409032130 1.044156266510914 3921.907153934154394 1.038988224290950 3923.214674226741863 1.032344439286511 3924.522630432075402 1.024314865812690 3925.831022695479078 1.014950239285766 3927.139851162337436 1.004929015872071 3928.449115978072314 0.995060894576595 3929.758817288157388 0.986469025880648 3931.068955238115450 0.979610310229006 3932.379529973512490 0.974887357593476 3933.690541639976800 0.973385893598090 3935.001990383171687 0.975456243857060 3936.313876348814574 0.980190327892927 3937.626199682665629 0.986777614873343 3938.938960530546865 0.994604271247688 3940.252159038316677 1.002865869907185 3941.565795351886209 1.010725119713554 3942.879869617210261 1.017139286042267 3944.194381980306389 1.021914675173515 3945.509332587226254 1.024769450749356 3946.824721584076542 1.025377946848920 3948.140549117006685 1.024903599981624 3949.456815332227961 1.024333569190972 3950.773520375988937 1.024189324394614 3952.090664394589112 1.023852973072142 3953.408247534374368 1.022517384804872 3954.726269941750616 1.019752500288391 3956.044731763161053 1.015958086068435 3957.363633145101630 1.011781299445683 3958.682974234111953 1.007518245624444 3960.002755176794835 1.003116550360746 3961.322976119787654 0.998368610267274 3962.643637209781900 0.993285340472981 3963.964738593513630 0.988594819731365 3965.286280417779835 0.985017302328760 3966.608262829414798 0.982972218607347 3967.930685975305096 0.982521989107133 3969.253550002383236 0.983209601701871 3970.576855057641296 0.984883703402012 3971.900601288109556 0.987378887158818 3973.224788840871042 0.990498472026266 3974.549417863057442 0.994150199385045 3975.874488501846372 0.997842198582846 3977.200000904475019 1.001230409198770 3978.525955218219224 1.004137014297093 3979.852351590406670 1.006305886529825 3981.179190168411424 1.007803677758238 3982.506471099667124 1.008742482961957 3983.834194531646517 1.009597418794757 3985.162360611873282 1.010670502839259 3986.490969487918392 1.011782902668559 3987.820021307412389 1.012621692089495 3989.149516218024473 1.013000416737547 3990.479454367475228 1.013195492659494 3991.809835903532530 1.013552054053253 3993.140660974023831 1.014084673843435 3994.471929726815233 1.014596844564221 3995.803642309824681 1.014365142386792 3997.135798871016959 1.013335797391969 3998.468399558417332 1.011921625933261 3999.801444520088353 1.010791189732833 4001.134933904146237 1.010228951612298 4002.468867858752674 1.010006360917767 4003.803246532129833 1.010002884479413 4005.138070072538994 1.010156331695473 4006.473338628293277 1.010612922284496 4007.809052347751731 1.011758844497030 4009.145211379335251 1.013316621276889 4010.481815871502022 1.015171508329693 4011.818865972763888 1.017178827544867 4013.156361831681352 1.019123215622531 4014.494303596861300 1.020810453267961 4015.832691416972011 1.021699051372511 4017.171525440719506 1.022071339288510 4018.510805816862558 1.022254914304517 4019.850532694206322 1.022479629177530 4021.190706221617802 1.022707667984014 4022.531326548000379 1.022589356038074 4023.872393822312461 1.021925732649532 4025.213908193557472 1.021291266892103 4026.555869810800232 1.021504693267131 4027.898278823143755 1.023339859326582 4029.241135379744719 1.025929632507945 4030.584439629805274 1.028566665248917 4031.928191722589418 1.030724853653160 4033.272391807399345 1.032691619584942 4034.617040033590001 1.035038112466176 4035.962136550562718 1.037757165022329 4037.307681507781581 1.040574716524346 4038.653675054746600 1.042931978651137 4040.000117341013265 1.044445839488165 4041.347008516181631 1.045386216719618 4042.694348729914964 1.045826254347928 4044.042138131913362 1.045956539837164 4045.390376871931494 1.045716452946322 4046.739065099769050 1.044888286943094 4048.088202965288929 1.043660283594304 4049.437790618390864 1.042198574240465 4050.787828209029612 1.040815272927339 4052.138315887204499 1.039770883987375 4053.489253802978510 1.039408544769417 4054.840642106451469 1.040147070768086 4056.192480947778222 1.041262671617593 4057.544770477161819 1.042252229161536 4058.897510844853969 1.042868656140618 4060.250702201166405 1.043509486949926 4061.604344696449971 1.044356551927959 4062.958438481109170 1.045482718924105 4064.312983705594888 1.046505890825012 4065.667980520420770 1.046916628312623 4067.023429076137290 1.046658791471876 4068.379329523350407 1.046268020340102 4069.735682012711095 1.046427127456746 4071.092486694933541 1.047334334035655 4072.449743720770130 1.048546450027184 4073.807453241026906 1.049602915911223 4075.165615406555844 1.050344191204810 4076.524230368273038 1.050811721904219 4077.883298277130962 1.051221842182476 4079.242819284137113 1.051683672656720 4080.602793540345829 1.052365950723548 4081.963221196873292 1.053093285190275 4083.324102404873884 1.053639608757361 4084.685437315556555 1.053564933885694 4086.047226080177097 1.052675555351489 4087.409468850052690 1.051644141382670 4088.772165776540987 1.050981047067202 4090.135317011051484 1.051094584557316 4091.498922705041423 1.051763226901496 4092.862983010031712 1.052640452700978 4094.227498077579185 1.053704594397815 4095.592468059297971 1.055093989750629 4096.957893106846313 1.057249184229559 4098.323773371947027 1.059974235297325 4099.690109006359307 1.062658131842037 4101.056900161899648 1.064687101493990 4102.424146990432746 1.065940485550680 4103.791849643871501 1.066492897580509 4105.160008274190659 1.066701599492508 4106.528623033404074 1.066666322745512 4107.897694073580169 1.066459325766535 4109.267221546832843 1.065918082023541 4110.637205605340569 1.065521673164767 4112.007646401320017 1.065954125820709 4113.378544087042428 1.067243113213585 4114.749898814825428 1.068883845818845 4116.121710737049398 1.069858348690095 4117.493980006134734 1.070214256753057 4118.866706774555496 1.070350064073933 4120.239891194832126 1.070794144646323 4121.613533419550549 1.071290084148154 4122.987633601332163 1.071236693335568 4124.362191892854753 1.070269712220853 4125.737208446842487 1.068572341743697 4127.112683416085019 1.067170084728975 4128.488616953407472 1.066604602892377 4129.865009211691358 1.067012114770109 4131.241860343865483 1.067899794086392 4132.619170502922316 1.068929693092841 4133.996939841889798 1.069921417806423 4135.375168513855897 1.070660549058983 4136.753856671951326 1.071096120079979 4138.133004469372281 1.071350760590814 4139.512612059354069 1.071435488067385 4140.892679595185655 1.071427575497064 4142.273207230208754 1.071314868033879 4143.654195117809650 1.071248842341432 4145.035643411441015 1.071129974383752 4146.417552264592814 1.070886049717029 4147.799921830809581 1.070541942812044 4149.182752263684961 1.070025346487810 4150.566043716874447 1.069479660112457 4151.949796344072638 1.068881966829916 4153.334010299031434 1.068085767315466 4154.718685735546387 1.066786893195211 4156.103822807478537 1.064846748696593 4157.489421668729847 1.062862329767133 4158.875482473254124 1.061485328091818 4160.262005375053377 1.060711900038676 4161.648990528196009 1.060069576102761 4163.036438086785893 1.059034495609646 4164.424348204985108 1.057659739411177 4165.812721037000301 1.056201958609788 4167.201556737103601 1.054826034302792 4168.590855459607155 1.053263532602684 4169.980617358876771 1.051035685497165 4171.370842589325548 1.048023946093425 4172.761531305432072 1.044364616600459 4174.152683661713127 1.040438420073732 4175.544299812741883 1.036508928163978 4176.936379913136079 1.032777687087202 4178.328924117581664 1.029241181485840 4179.721932580800967 1.025938266735462 4181.115405457572706 1.023024835246123 4182.509342902722892 1.020597815651988 4183.903745071141202 1.018642336251873 4185.298612117758239 1.016647323335802 4186.693944197559176 1.014445117750261 4188.089741465580119 1.012108753246468 4189.486004076905374 1.009722568548804 4190.882732186684734 1.007261942225525 4192.279925950104371 1.004772250901233 4193.677585522409572 1.002299166751110 4195.075711058891102 0.999890369701405 4196.474302714904297 0.997723708904190 4197.873360645844514 0.996170945453322 4199.272885007162586 0.995103845948170 4200.672875954356641 0.994136235311358 4202.073333642990292 0.992396836065187 4203.474258228665349 0.990752861013095 4204.875649867039101 0.988714977956746 4206.277508713819770 0.986351669209562 4207.679834924775605 0.983637529795990 4209.082628655718509 0.980756512799934 4210.485890062512226 0.977959646151951 4211.889619301072344 0.975631388641662 4213.293816527376293 0.973790270023417 4214.698481897441525 0.972279485030777 4216.103615567342786 0.971057286335552 4217.509217693202118 0.970020572207759 4218.915288431204317 0.969134475504377 4220.321827937576927 0.968325495371951 4221.728836368601151 0.967678453813768 4223.136313880607304 0.967170973838061 4224.544260629990276 0.966620407583717 4225.952676773184066 0.965651397163829 4227.361562466679970 0.964181400446143 4228.770917867020216 0.962313445353511 4230.180743130796145 0.960260164874948 4231.591038414662762 0.958168727670277 4233.001803875316000 0.956227316588191 4234.413039669508180 0.954649845666523 4235.824745954037098 0.953660331581751 4237.236922885768763 0.952923761105537 4238.649570621608291 0.951894926465215 4240.062689318514458 0.950353988020213 4241.476279133497883 0.948626960220771 4242.890340223631938 0.947392101237619 4244.304872746030014 0.946726837683969 4245.719876857863710 0.946597599222167 4247.135352716350098 0.946795411220995 4248.551300478772646 0.946856229598022 4249.967720302455746 0.946163577531602 4251.384612344778361 0.944937387078547 4252.801976763169478 0.943855753500612 4254.219813715121745 0.943363104757138 4255.638123358169651 0.943375016078923 4257.056905849901341 0.943632456036006 4258.476161347956804 0.944019306691633 4259.895890010038784 0.944432473211082 4261.316091993890041 0.944514226391846 4262.736767457312453 0.944360327526385 4264.157916558152465 0.944417545415271 4265.579539454325641 0.945041013500068 4267.001636303785745 0.946184087574994 4268.424207264542929 0.947321210888903 4269.847252494656459 0.948019414983428 4271.270772152251084 0.948150721343871 4272.694766395491570 0.948042281260798 4274.119235382599982 0.948199447960692 4275.544179271849316 0.948862540744461 4276.969598221563501 0.949824125913375 4278.395492390130130 0.950649586674606 4279.821861935978632 0.951201071836364 4281.248707017593915 0.951581065360267 4282.676027793509093 0.952133491371114 4284.103824422326397 0.953010939947049 4285.532097062683533 0.954011050933813 4286.960845873278231 0.954523631810928 4288.390071012855515 0.954284886995123 4289.819772640227711 0.953457627977251 4291.249950914245346 0.952690980662029 4292.680605993817153 0.952596907582449 4294.111738037900977 0.953199194486169 4295.543347205521059 0.953924125057907 4296.975433655738925 0.954106248064862 4298.407997547676132 0.953717187147931 4299.841039040501528 0.953184669747402 4301.274558293451264 0.953053819524567 4302.708555465801510 0.953693334602457 4304.143030716883914 0.954995540441135 4305.577984206081055 0.956554324101124 4307.013416092840998 0.957954654218950 4308.449326536651824 0.959337645249374 4309.885715697058913 0.961218961625065 4311.322583733655847 0.963692089989162 4312.759930806104421 0.966367873122987 4314.197757074106448 0.968607370754155 4315.636062697418311 0.970313414283881 4317.074847835848232 0.971519548159600 4318.514112649269919 0.972445985613310 4319.953857297598006 0.973044439577149 4321.394081940803517 0.973316531495966 4322.834786738911134 0.973350134098786 4324.275971851995564 0.973511239755794 4325.717637440196995 0.974187546684216 4327.159783663694725 0.975314469925489 4328.602410682729897 0.976507078420957 4330.045518657587309 0.977569103801747 4331.489107748622700 0.978654693109923 4332.933178116230920 0.979963751667332 4334.377729920862294 0.981375762072352 4335.822763323019899 0.982791382332807 4337.268278483270478 0.983910113027085 4338.714275562223520 0.984687973520354 4340.160754720545810 0.985427376003886 4341.607716118950520 0.986668990350386 4343.055159918222671 0.988741446604133 4344.503086279182753 0.991323156814556 4345.951495362713104 0.994121169223886 4347.400387329743353 0.996844823648794 4348.849762341269525 0.999698746802983 4350.299620558328570 1.002979905749071 4351.749962142017466 1.006893642884409 4353.200787253479575 1.011062816945531 4354.652096053927380 1.014706342910173 4356.103888704612473 1.017484988021584 4357.556165366844652 1.019605655683293 4359.008926201984650 1.021308585257885 4360.462171371458680 1.022713506405595 4361.915901036734795 1.023505077427967 4363.370115359336523 1.023247682899520 4364.824814500844695 1.021811412504376 4366.279998622888343 1.019807664730072 4367.735667887162890 1.018073062307715 4369.191822455404690 1.017131861941866 4370.648462489409212 1.016657622261042 4372.105588151020129 1.016288463722721 4373.563199602150235 1.015845516265794 4375.021297004752341 1.015567732239312 4376.479880520835650 1.015910061627476 4377.938950312460292 1.016843948726715 4379.398506541756433 1.017711710581266 4380.858549370890614 1.018037037880398 4382.319078962090316 1.018232518390541 4383.780095477632130 1.018755532142963 4385.241599079860862 1.019541585895969 4386.703589931160423 1.020091840042364 4388.166068193973842 1.020179237239090 4389.629034030795083 1.020020398991964 4391.092487604185408 1.019818118108990 4392.556429076744280 1.019973847740234 4394.020858611133917 1.020757614839815 4395.485776370063832 1.021661435094133 4396.951182516310837 1.022028218033765 4398.417077212693584 1.021828349772616 4399.883460622088933 1.021666021422100 4401.350332907425582 1.022113571393378 4402.817694231695896 1.023288847680048 4404.285544757937714 1.024858317705750 4405.753884649244355 1.026393767206936 4407.222714068760069 1.027672315099375 4408.692033179698228 1.028887513090506 4410.161842145310402 1.030338187214534 4411.632141128910007 1.031924252966517 4413.102930293863210 1.033107146227018 4414.574209803586200 1.033536127711016 4416.045979821564288 1.033272574822252 4417.518240511321892 1.032870080431838 4418.990992036444368 1.032616817652216 4420.464234560566183 1.032295804433802 4421.937968247389108 1.031505805338572 4423.412193260658569 1.030234203075734 4424.886909764175471 1.028977591669183 4426.362117921793470 1.028334989789716 4427.837817897434434 1.028374502034000 4429.314009855059339 1.028698706530917 4430.790693958689189 1.028839814585765 4432.267870372396828 1.028871388433895 4433.745539260321493 1.029096416748792 4435.223700786643349 1.029534855091915 4436.702355115603496 1.029816392318647 4438.181502411492147 1.029480231102916 4439.661142838667729 1.028747719489717 4441.141276561530503 1.028167052495313 4442.621903744539850 1.028113490521570 4444.103024552205170 1.028486409470070 4445.584639149104987 1.028815914402619 4447.066747699857842 1.028594524459883 4448.549350369142303 1.027893335033967 4450.032447321687869 1.027157314557496 4451.516038722293160 1.026980404753798 4453.000124735795907 1.027365698386369 4454.484705527094775 1.027558030509613 4455.969781261138451 1.027123802982641 4457.455352102944744 1.026209565008700 4458.941418217572391 1.025062663186983 4460.427979770141064 1.023974135964273 4461.915036925822278 1.023309509466153 4463.402589849841206 1.023274575317625 4464.890638707490325 1.023549087073452 4466.379183664103948 1.023571493508582 4467.868224885075506 1.023185424181797 4469.357762535850270 1.022702539998240 4470.847796781940815 1.022291061787971 4472.338327788902461 1.021954026651683 4473.829355722349646 1.021686526451859 4475.320880747947740 1.021513606435102 4476.812903031430324 1.021289436703340 4478.305422738573725 1.020374636201947 4479.798440035212479 1.018406871484751 4481.291955087233873 1.015774444122233 4482.785968060593405 1.013442453425581 4484.280479121286589 1.011799676039837 4485.775488435370789 1.010346269995375 4487.270996168954298 1.008355460594656 4488.767002488212711 1.005826826736618 4490.263507559365280 1.003429786518873 4491.760511548690374 1.002017303279708 4493.258014622516384 1.001858442698911 4494.756016947241733 1.002078567715567 4496.254518689307588 1.001840350372085 4497.753520015212416 1.001060930621269 4499.253021091509254 1.000386916029101 4500.753022084817530 1.000126200385641 4502.253523161799421 0.999449550147846 4503.754524489178038 0.997480834635558 4505.256026233730154 0.994215783858333 4506.758028562285290 0.990802459311837 4508.260531641741181 0.988173239596795 4509.763535639039219 0.986379026263938 4511.267040721179001 0.984814221051793 4512.771047055211966 0.983027992288858 4514.275554808260495 0.981447191498254 4515.780564147485165 0.981019870950176 4517.286075240111131 0.981988304437731 4518.792088253411748 0.983322978168687 4520.298603354732222 0.983823865520590 4521.805620711456868 0.983066504534722 4523.313140491032755 0.981426291740991 4524.821162860958793 0.979713930888640 4526.329687988800288 0.978214733461966 4527.838716042167107 0.976384616462225 4529.348247188730056 0.973748816954504 4530.858281596208144 0.970501946893519 4532.368819432394957 0.967427460945168 4533.879860865120463 0.965104421855217 4535.391406062281021 0.963488137608219 4536.903455191819376 0.962130500150324 4538.416008421751030 0.960458082694927 4539.929065920132416 0.958418275638187 4541.442627855081810 0.956575270058652 4542.956694394767510 0.955386256966915 4544.471265707428756 0.954443113989949 4545.986341961345715 0.953011582543279 4547.501923324861309 0.950946769105069 4549.018009966368481 0.948756756599892 4550.534602054330207 0.946958261220847 4552.051699757253118 0.946023474614505 4553.569303243702961 0.945598956459927 4555.087412682301874 0.945046179185084 4556.606028241723834 0.944310317969590 4558.125150090714669 0.943795290716843 4559.644778398060225 0.943727022265433 4561.164913332607284 0.943588632514385 4562.685555063256288 0.942998356484167 4564.206703758976801 0.941935934667099 4565.728359588779313 0.940638620767305 4567.250522721738889 0.938969085441725 4568.773193326977889 0.936898504543849 4570.296371573692340 0.934418103145434 4571.820057631119198 0.931847189804094 4573.344251668557263 0.929628455498947 4574.868953855356267 0.927939169057065 4576.394164360937793 0.926459479405870 4577.919883354765261 0.924752764876233 4579.446111006361207 0.922874800279343 4580.972847485303646 0.921035578945687 4582.500092961237897 0.919357762351845 4584.027847603853843 0.917653755436128 4585.556111582902304 0.915821190917353 4587.084885068185031 0.913944619271868 4588.614168229575625 0.912387477489316 4590.143961236989526 0.911389423282848 4591.674264260404016 0.910485908052080 4593.205077469848220 0.909237112088367 4594.736401035421295 0.907685501734307 4596.268235127266053 0.906201628903346 4597.800579915586241 0.904944528514417 4599.333435570641996 0.903870929678670 4600.866802262746205 0.902580238084063 4602.400680162281787 0.900714104612477 4603.935069439676226 0.898275636755428 4605.469970265416123 0.895919337953677 4607.005382810041738 0.894224953857161 4608.541307244163363 0.893046607221823 4610.077743738435856 0.892126183621972 4611.614692463572283 0.891342939831565 4613.152153590342095 0.890810872744963 4614.690127289582961 0.890615240947761 4616.228613732176200 0.890993797181000 4617.767613089064071 0.891669701573091 4619.307125531242491 0.892102066215026 4620.847151229777410 0.892013190954560 4622.387690355778432 0.891580468860444 4623.928743080417007 0.890941536918233 4625.470309574915518 0.890023541702903 4627.012390010569106 0.888665221731982 4628.554984558714750 0.886781798218608 4630.098093390753093 0.884238261035585 4631.641716678134799 0.881443883190789 4633.185854592383293 0.879307054208003 4634.730507305064748 0.878288372517243 4636.275674987808088 0.878136436354900 4637.821357812292263 0.878084953731876 4639.367555950270798 0.877901484994637 4640.914269573537240 0.877638890586036 4642.461498853950616 0.877430047938408 4644.009243963419067 0.877324180732419 4645.557505073923494 0.877503163523247 4647.106282357489363 0.877725635460195 4648.655575986203075 0.877592650223084 4650.205386132207423 0.877154406324842 4651.755712967698855 0.876944167134386 4653.306556664945674 0.877233687423715 4654.857917396258927 0.877910644369631 4656.409795334012415 0.878769497054980 4657.962190650632692 0.879607721736920 4659.515103518616343 0.880243416342669 4661.068534110505425 0.880521009554172 4662.622482598902934 0.880338105889325 4664.176949156465525 0.879654265806297 4665.731933955920795 0.878787082106687 4667.287437170039993 0.877829091228663 4668.843458971657128 0.876589082452214 4670.399999533658956 0.875089372694924 4671.957059029003176 0.873874316521116 4673.514637630692050 0.873432247009498 4675.072735511790597 0.874098354597036 4676.631352845414767 0.875697942311137 4678.190489804754179 0.878142217162992 4679.750146563042108 0.880503097063360 4681.310323293572765 0.882074556459799 4682.871020169695839 0.883087673442931 4684.432237364830144 0.884085990447315 4685.993975052440874 0.885078302431751 4687.556233406052343 0.885799249159147 4689.119012599246162 0.886120680718739 4690.682312805673064 0.886019912451230 4692.246134199029257 0.885173629595526 4693.810476953070975 0.884060926921724 4695.375341241609931 0.883536432688278 4696.940727238530599 0.883920013957882 4698.506635117758378 0.884828920527906 4700.073065053284154 0.885828130949400 4701.640017219155197 0.886687230307303 4703.207491789472442 0.887236484733522 4704.775488938410490 0.887528131468119 4706.344008840183960 0.887940219179321 4707.913051669075685 0.888831070985412 4709.482617599416699 0.890063179586286 4711.052706805614434 0.891384201820238 4712.623319462117252 0.892696383132862 4714.194455743438084 0.894196967725445 4715.766115824143526 0.896012049666381 4717.338299878871112 0.898209483966179 4718.911008082303852 0.900758856510627 4720.484240609186600 0.903519046627661 4722.057997634318781 0.906086620868451 4723.632279332570761 0.908270954546523 4725.207085878859289 0.909972882188942 4726.782417448162050 0.911555445896486 4728.358274215510392 0.913193479069074 4729.934656356011146 0.914738704096692 4731.511564044811166 0.916127426887226 4733.088997457123696 0.917441928534947 4734.666956768213822 0.918823844872988 4736.245442153419390 0.920423315082491 4737.824453788123719 0.922574166871777 4739.403991847771977 0.925540057501827 4740.984056507863897 0.928907214345922 4742.564647943971977 0.931812974979294 4744.145766331712366 0.933691644338435 4745.727411846764880 0.935015925138658 4747.309584664868453 0.936292687468810 4748.892284961814767 0.937608139572313 4750.475512913469174 0.938669057872561 4752.059268695740684 0.939165774137827 4753.643552484602878 0.939324861164387 4755.228364456081181 0.939930190371319 4756.813704786277412 0.941501306002515 4758.399573651334322 0.943978309085212 4759.985971227459231 0.946642201752234 4761.572897690914942 0.949107167485122 4763.160353218036107 0.951386675762451 4764.748337985201033 0.953808326840496 4766.336852168852602 0.956460599616677 4767.925895945487355 0.958942306136552 4769.515469491676413 0.960956710496257 4771.105572984033643 0.962823976659321 4772.696206599237485 0.964783894776015 4774.287370514020040 0.966555671184466 4775.879064905186169 0.967998431591995 4777.471289949587117 0.969501734875637 4779.064045824135974 0.971484472648673 4780.657332705801309 0.973824987618217 4782.251150771624452 0.976367519935534 4783.845500198692207 0.978785305461756 4785.440381164153223 0.980925655697603 4787.035793845211629 0.983080005513369 4788.631738419146131 0.985519581763338 4790.228215063279094 0.988023802565028 4791.825223954996545 0.990225620479377 4793.422765271738172 0.992302147696341 4795.020839191019149 0.994556751901797 4796.619445890399220 0.996655917590732 4798.218585547499970 0.998220705952217 4799.818258340003922 0.999789616587898 4801.418464445647260 1.002213528826419 4803.019204042241654 1.004764987146079 4804.620477307641522 1.007412116012577 4806.222284419765856 1.009889223152937 4807.824625556588217 1.011746661637412 4809.427500896156744 1.012603903294971 4811.030910616563233 1.013296090921738 4812.634854895964963 1.014820650454644 4814.239333912573784 1.017259559805449 4815.844347844673393 1.019599081609506 4817.449896870593875 1.021447289295554 4819.055981168730796 1.023232733540266 4820.662600917531563 1.025459544201209 4822.269756295520892 1.028183770256771 4823.877447481265335 1.031190029410426 4825.485674653397837 1.034437435887517 4827.094437990605002 1.037691506997287 4828.703737671648923 1.040565639181651 4830.313573875335351 1.042722253736417 4831.923946780535516 1.044208078646587 4833.534856566173403 1.045350811422964 4835.146303411250301 1.046984374570702 4836.758287494810247 1.049148723025229 4838.370808995962761 1.051167206374192 4839.983868093871024 1.052449565206981 4841.597464967775522 1.053489898618551 4843.211599796958581 1.055008987982955 4844.826272760768916 1.057095671341430 4846.441484038608905 1.059616372968264 4848.057233809957324 1.062553207002090 4849.673522254337513 1.065280867608891 4851.290349551335567 1.066521585576037 4852.907715880599426 1.066546028919557 4854.525621421832511 1.067013582939441 4856.144066354811002 1.069099072427685 4857.763050859357463 1.071481085297241 4859.382575115358122 1.072382848383146 4861.002639302757416 1.071981924142757 4862.623243601569811 1.071532129504806 4864.244388191859798 1.071891668722931 4865.866073253752802 1.073153231338060 4867.488298967431547 1.075472427684524 4869.111065513154244 1.077964430778744 4870.734373071221853 1.079462661374792 4872.358221822003543 1.079757971762832 4873.982611945920326 1.080309673606398 4875.607543623470519 1.081938334708375 4877.233017035197918 1.084422206436676 4878.859032361709069 1.086998418359766 4880.485589783668729 1.089127483714607 4882.112689481815323 1.090322340639430 4883.740331636932751 1.090660516349428 4885.368516429868578 1.091132586099639 4886.997244041529484 1.092552128873005 4888.626514652894002 1.094631025724651 4890.256328444987048 1.096537808486002 4891.886685598899930 1.098053370709412 4893.517586295777619 1.099205579864094 4895.149030716841480 1.100070240795822 4896.781019043358356 1.100776923420177 4898.413551456660571 1.101768239633714 4900.046628138139567 1.103323089609137 4901.680249269244086 1.105322415128726 4903.314415031497447 1.107414116026602 4904.949125606469352 1.109101828169577 4906.584381175793169 1.110276218144939 4908.220181921158655 1.111510423127424 4909.856528024332874 1.113094571728393 4911.493419667126545 1.115081284621976 4913.130857031415871 1.117366789389927 4914.768840299133444 1.119890631149478 4916.407369652289162 1.122015738192526 4918.046445272933852 1.123310674155992 4919.686067343190189 1.124059928572526 4921.326236045230871 1.124992019810862 4922.966951561307724 1.126138879285442 4924.608214073718045 1.127035084242970 4926.250023764823709 1.127323128923932 4927.892380817042977 1.127382529860018 4929.535285412870508 1.127388789965003 4931.178737734846436 1.127579293360223 4932.822737965575470 1.128024933185993 4934.467286287719617 1.128771213172483 4936.112382884017279 1.129261017538692 4937.758027937250517 1.129463836504577 4939.404221630271422 1.129893626760835 4941.050964145982107 1.130942967994376 4942.698255667366539 1.132232261142105 4944.346096377450522 1.133145919076105 4945.994486459328073 1.133544395317069 4947.643426096148687 1.133543072754603 4949.292915471138258 1.132964675070891 4950.942954767568153 1.132429377984027 4952.593544168775225 1.132503207295708 4954.244683858159988 1.132745170344551 4955.896374019174800 1.131627257803348 4957.548614835353874 1.128929871799011 4959.201406490272348 1.126510993850332 4960.854749167574482 1.125467470338535 4962.508643050960018 1.124950189194234 4964.163088324204182 1.123502517617164 4965.818085171131315 1.121289154539703 4967.473633775627604 1.118828516971567 4969.129734321639262 1.116382820453470 4970.786386993186170 1.114834464373249 4972.443591974338233 1.115137845758815 4974.101349449227200 1.116260071469916 4975.759659602043030 1.116474321205768 4977.418522617054805 1.115272875696950 4979.077938678573446 1.114165103426357 4980.737907970979904 1.114020224349724 4982.398430678708792 1.114591578970289 4984.059506986273846 1.115135682392656 4985.721137078233369 1.115390728208847 4987.383321139213876 1.115045696620655 4989.046059353896453 1.113909103512167 4990.709351907040400 1.112266098237721 4992.373198983450493 1.110474713746264 4994.037600767998811 1.108977755723716 4995.702557445614730 1.108002736670008 4997.368069201302205 1.107220449787294 4999.034136220114306 1.106197267788591 5000.700758687167763 1.104808342239863 5002.367936787644794 1.102842148296789 5004.035670706781275 1.100447642219746 5005.703960629891299 1.098182958833260 5007.372806742336252 1.096595269995704 5009.042209229542095 1.095171724046857 5010.712168276992998 1.093367086903760 5012.382684070251344 1.091219176127449 5014.053756794924084 1.089493667884208 5015.725386636685471 1.088363741250230 5017.397573781267965 1.087453713412577 5019.070318414480425 1.086493253350378 5020.743620722177184 1.085524569285162 5022.417480890281695 1.084415969033875 5024.091899104772892 1.083011605484928 5025.766875551708836 1.081564792785340 5027.442410417190331 1.080351785628673 5029.118503887390034 1.079160755285251 5030.795156148533351 1.077898532261882 5032.472367386927544 1.076744092647222 5034.150137788923530 1.076162983927312 5035.828467540939528 1.076059415613993 5037.507356829451965 1.075923988044069 5039.186805841014575 1.075468444819420 5040.866814762227477 1.074769204138437 5042.547383779758093 1.073931696483336 5044.228513080332050 1.073292979298264 5045.910202850750466 1.073061981756521 5047.592453277863569 1.073123357823485 5049.275264548587074 1.073143671442667 5050.958636849896720 1.073154704763470 5052.642570368841916 1.073238220654508 5054.327065292523002 1.073612190696672 5056.012121808105803 1.074600693942113 5057.697740102817988 1.076422244568332 5059.383920363945435 1.078247394516716 5061.070662778852238 1.078628667940976 5062.757967534949785 1.077549237381468 5064.445834819714946 1.076162136428736 5066.134264820683711 1.075255037355795 5067.823257725471194 1.074712053824355 5069.512813721736165 1.074264969044286 5071.202932997207427 1.073560914045918 5072.893615739671986 1.072083679920842 5074.584862136993252 1.070226384784726 5076.276672377081923 1.069485654975845 5077.969046647916912 1.070371767762470 5079.661985137535339 1.071963807133859 5081.355488034050722 1.073159083726370 5083.049555525626602 1.073609460526394 5084.744187800491090 1.073377088558009 5086.439385046932330 1.072760456882936 5088.135147453314858 1.072514106611984 5089.831475208053234 1.072622036103421 5091.528368499627504 1.072665536007386 5093.225827516575919 1.072211834099877 5094.923852447514946 1.071314630775925 5096.622443481110167 1.070158301663643 5098.321600806092647 1.069189998336328 5100.021324611253476 1.068910182689977 5101.721615085461053 1.069171947324138 5103.422472417631070 1.068975449533807 5105.123896796747431 1.068150297176877 5106.825888411852247 1.067524486167084 5108.528447452065848 1.067622221107218 5110.231574106557673 1.067822657059817 5111.935268564562648 1.067552970923754 5113.639531015380271 1.066948521820938 5115.344361648368249 1.066624303972367 5117.049760652962505 1.066699154161427 5118.755728218646254 1.067599695808084 5120.462264534971837 1.069570412338982 5122.169369791548888 1.071201045317100 5123.877044178067081 1.071276359376969 5125.585287884261561 1.070199307992429 5127.294101099937507 1.069482986117624 5129.003484014958303 1.069410304948102 5130.713436819265553 1.069522970703402 5132.423959702849061 1.069204107898948 5134.135052855766844 1.067876565315988 5135.846716468135128 1.065450259903318 5137.558950730148354 1.062943625198951 5139.271755832050985 1.061885412397878 5140.985131964152970 1.062164145655784 5142.699079316826101 1.063090269176588 5144.413598080518568 1.063901462028942 5146.128688445727676 1.063454952827268 5147.844350603018029 1.061679540895967 5149.560584743013351 1.060034842731895 5151.277391056418310 1.060070418976438 5152.994769733983048 1.060962183640519 5154.712720966526831 1.061529614189360 5156.431244944929858 1.061282453948319 5158.150341860147819 1.060596533647582 5159.870011903186423 1.059812245916642 5161.590255265120504 1.059924753189594 5163.311072137088559 1.061492239921386 5165.032462710287291 1.063392724974451 5166.754427175992532 1.064441966624899 5168.476965725527407 1.064580607685103 5170.200078550286889 1.064387210608499 5171.923765841721433 1.063952249450315 5173.648027791363347 1.063019453873943 5175.372864590790414 1.061711888025347 5177.098276431653176 1.060429059421878 5178.824263505657655 1.059434755307047 5180.550826004589908 1.058789864777722 5182.277964120286924 1.058494216000945 5184.005678044652086 1.058537816954700 5185.733967969646983 1.058895075495064 5187.462834087316878 1.059290034556116 5189.192276589750691 1.059255236133756 5190.922295669110099 1.058994386573280 5192.652891517613170 1.059070508371995 5194.384064327558917 1.059548764857858 5196.115814291295464 1.059741757719923 5197.848141601238240 1.059293167684120 5199.581046449864516 1.058338478996396 5201.314529029727964 1.057047887084392 5203.048589533434097 1.055924531497132 5204.783228153654818 1.055971825984100 5206.518445083123879 1.057274539620740 5208.254240514652338 1.057904499565826 5209.990614641102184 1.056975991199092 5211.727567655403618 1.055792172239651 5213.465099750545050 1.055839399195806 5215.203211119597654 1.056515224498775 5216.941901955678986 1.056955820405938 5218.681172451977545 1.056997041057758 5220.421022801744584 1.056439993270341 5222.161453198292293 1.055594119241984 5223.902463835011986 1.055378050463020 5225.644054905344092 1.056336735567350 5227.386226602799070 1.057339917594835 5229.128979120945587 1.057257456391240 5230.872312653434165 1.056517142181553 5232.616227393962617 1.056021092955863 5234.360723536299702 1.055839745059115 5236.105801274272380 1.055546241647297 5237.851460801789472 1.055188539626672 5239.597702312807087 1.054965348489367 5241.344526001354097 1.054767936593200 5243.091932061513944 1.054267036210447 5244.839920687454651 1.053477190427552 5246.588492073392445 1.052820782872128 5248.337646413612674 1.052574798752521 5250.087383902459806 1.052368646102479 5251.837704734360159 1.051946750906709 5253.588609103789167 1.051267078171787 5255.340097205291386 1.050272897209011 5257.092169233470486 1.048906676403138 5258.844825383013813 1.047643018198236 5260.598065848653277 1.046840714940276 5262.351890825193550 1.046080044709217 5264.106300507501146 1.044886961667934 5265.861295090518979 1.043894644032268 5267.616874769240894 1.044016137405831 5269.373039738733496 1.044764044056380 5271.129790194117959 1.045047189006955 5272.887126330601859 1.044882448504838 5274.645048343438248 1.045057874053263 5276.403556427952935 1.045774618645932 5278.162650779533578 1.046722841832499 5279.922331593632407 1.047691156157211 5281.682599065778049 1.048266218228495 5283.443453391550975 1.047861314160612 5285.204894766602592 1.047300683829796 5286.966923386642520 1.047628525225915 5288.729539447462230 1.048900599008116 5290.492743144902306 1.050268431635177 5292.256534674876093 1.051246297113306 5294.020914233353324 1.051656018914971 5295.785882016387404 1.051684089994836 5297.551438220079945 1.051955183088634 5299.317583040604404 1.052769514965481 5301.084316674194270 1.053224178195014 5302.851639317163063 1.052536729476783 5304.619551165875237 1.051180700788645 5306.388052416765277 1.050194485660081 5308.157143266328603 1.049608647716796 5309.926823911140673 1.049162560985080 5311.697094547826055 1.048972244280485 5313.467955373083896 1.048961897569450 5315.239406583670643 1.048856120446336 5317.011448376424596 1.048413833729435 5318.784080948233168 1.047874263765515 5320.557304496056531 1.047375891140531 5322.331119216913066 1.046691668621736 5324.105525307905737 1.045960939927841 5325.880522966184799 1.045749385119553 5327.656112388971451 1.045878161149802 5329.432293773553283 1.045151750669261 5331.209067317279732 1.044019219605155 5332.986433217579361 1.043920812507719 5334.764391671933481 1.045297811970592 5336.542942877891619 1.046539337507196 5338.322087033065145 1.046663294483070 5340.101824335149104 1.046062817300589 5341.882154981885833 1.045165326455161 5343.663079171088611 1.044162905839736 5345.444597100634383 1.043602648415160 5347.226708968479215 1.043517252479566 5349.009414972631930 1.043461550172035 5350.792715311167740 1.043132111489874 5352.576610182228251 1.042758297785315 5354.361099784034195 1.042671212967779 5356.146184314857237 1.042591919252707 5357.931863973039071 1.042414333655918 5359.718138956983239 1.042358342747594 5361.505009465176954 1.042647020067733 5363.292475696154725 1.042726750976352 5365.080537848523818 1.042171313874562 5366.869196120953347 1.041102007714500 5368.658450712192462 1.039978883176844 5370.448301821043060 1.039069554087419 5372.238749646377983 1.038822458172536 5374.029794387128277 1.039048440326434 5375.821436242312302 1.039179328663499 5377.613675410993892 1.038883166743664 5379.406512092312369 1.038338119095665 5381.199946485465262 1.037814223085010 5382.993978789734683 1.037356157847625 5384.788609204451859 1.037151092090175 5386.583837929018955 1.037235094443505 5388.379665162907258 1.037375719241184 5390.176091105648084 1.036965854464987 5391.973115956854599 1.035979152444237 5393.770739916189996 1.035003993241491 5395.568963183390224 1.035024532727992 5397.367785958253990 1.035506443982398 5399.167208440660943 1.035575767437330 5400.967230830539847 1.034575495543213 5402.767853327895864 1.034399895027861 5404.569076132790542 1.033653864050059 5406.370899445370924 1.032185359707950 5408.173323465834983 1.030965290695640 5409.976348394451634 1.030229397088663 5411.779974431551636 1.029418817927540 5413.584201777548515 1.028077451402938 5415.389030632906724 1.027005231312113 5417.194461198163481 1.026290376198931 5419.000493673915116 1.025477056312323 5420.807128260844365 1.024147903505654 5422.614365159682166 1.022592861079544 5424.422204571232214 1.021268636611859 5426.230646696361873 1.020183952726502 5428.039691736017630 1.019406736664011 5429.849339891201453 1.018955706574262 5431.659591362983520 1.018651141119120 5433.470446352497675 1.017886283628328 5435.281905060961435 1.017145800497483 5437.093967689643250 1.016951741047397 5438.906634439882509 1.017096024773893 5440.719905513086815 1.016798579613726 5442.533781110723794 1.015921072028130 5444.348261434349297 1.015027338273971 5446.163346685563738 1.014399948294344 5447.979037066045748 1.014004679605960 5449.795332777530348 1.014151412526610 5451.612234021842596 1.015700823836676 5453.429741000852118 1.018314592524435 5455.247853916505846 1.020663273949452 5457.066572970808920 1.022059613371309 5458.885898365853791 1.023342747856850 5460.705830303782932 1.025004982327118 5462.526368986808848 1.026037279875433 5464.347514617209526 1.026390996353050 5466.169267397344811 1.026000626099933 5467.991627529627294 1.024822346478216 5469.814595216540511 1.022486437581560 5471.638170660630749 1.019217501992444 5473.462354064528881 1.015958928122827 5475.287145630916712 1.013856240238924 5477.112545562547893 1.012696973915031 5478.938554062240655 1.012390686201071 5480.765171332895079 1.012812059603367 5482.592397577462179 1.012836842529925 5484.420232998969368 1.012006309455428 5486.248677800501355 1.010891165747197 5488.077732185231071 1.010369187086037 5489.907396356381469 1.010159836192877 5491.737670517248262 1.009931282672924 5493.568554871189917 1.009492270420260 5495.400049621647668 1.009237169074491 5497.232154972117314 1.008727683718820 5499.064871126165599 1.007715568268246 5500.898198287427476 1.006753907562118 5502.732136659599746 1.006310224857811 5504.566686446465610 1.006181005709505 5506.401847851858292 1.005601685234333 5508.237621079682867 1.004906728489966 5510.074006333910802 1.004246565616346 5511.911003818595418 1.003663456397173 5513.748613737840969 1.002492738038801 5515.586836295828107 1.000697890867638 5517.425671696795689 0.999295885659461 5519.265120145071705 0.999321176708548 5521.105181845034167 1.000008491315372 5522.945857001133845 1.000179534019821 5524.787145817883356 0.999570865713540 5526.629048499882629 0.998409896397114 5528.471565251782522 0.997037674576430 5530.314696278306656 0.995770936988608 5532.158441784240495 0.995308541236650 5534.002801974457725 0.995642097368965 5535.847777053881146 0.995679714142885 5537.693367227507224 0.994031501170486 5539.539572700396093 0.991465415043911 5541.386393677693377 0.989939591902383 5543.233830364596542 0.989762286471651 5545.081882966374906 0.989966142607403 5546.930551688361447 0.989508909055534 5548.779836735978279 0.988320696626485 5550.629738314692077 0.986774860349428 5552.480256630050462 0.985110101498391 5554.331391887658356 0.983480186524109 5556.183144293210717 0.982300258557518 5558.035514052451617 0.981484748313049 5559.888501371199709 0.980326961087839 5561.742106455342764 0.978944324411338 5563.596329510830401 0.978189794769356 5565.451170743699549 0.978228077313394 5567.306630360038071 0.978314963222393 5569.162708566007495 0.977929085212688 5571.019405567834838 0.977262558159803 5572.876721571828966 0.976773582356937 5574.734656784352410 0.976603885457312 5576.593211411844095 0.976278731747444 5578.452385660804794 0.975485709852859 5580.312179737818951 0.973922936041497 5582.172593849525583 0.971812767651946 5584.033628202636464 0.970050444486336 5585.895283003928853 0.969208368617463 5587.757558460264590 0.968762047738449 5589.620454778556450 0.967729475092845 5591.483972165794512 0.966272064938946 5593.348110829028883 0.964890950809742 5595.212870975397891 0.963827206344021 5597.078252812091705 0.962954989498853 5598.944256546375073 0.962350311419478 5600.810882385575496 0.961683166721263 5602.678130537107791 0.960195146364843 5604.546001208438611 0.958364295878266 5606.414494607108281 0.957190299250629 5608.283610940721701 0.956861696604922 5610.153350416971080 0.956479403764408 5612.023713243597740 0.955290614189086 5613.894699628420312 0.953574388446631 5615.766309779326548 0.952543264535015 5617.638543904266953 0.952590606857824 5619.511402211279346 0.952923502644818 5621.384884908454296 0.952942738110470 5623.258992203955131 0.952633773043986 5625.133724306009753 0.952423031302007 5627.009081422935196 0.952536644703853 5628.885063763097605 0.953101952536857 5630.761671534939524 0.953963483835615 5632.638904946967159 0.954678882059223 5634.516764207773122 0.954587579594061 5636.395249526003681 0.954127933114539 5638.274361110377868 0.954059604669635 5640.154099169682013 0.954321650837356 5642.034463912787032 0.954387341350650 5643.915455548614773 0.954338331406926 5645.797074286166207 0.954333439038662 5647.679320334504155 0.954990388048711 5649.562193902777835 0.956332204412803 5651.445695200189220 0.957923955836862 5653.329824436017589 0.959273130287037 5655.214581819604973 0.960380503329803 5657.099967560378900 0.961295246281653 5658.985981867821465 0.962319087862631 5660.872624951491161 0.963715105719659 5662.759897021007419 0.964734761776401 5664.647798286079706 0.964804046892243 5666.536328956468424 0.964336435137418 5668.425489242010372 0.964262407700949 5670.315279352606922 0.964669180733754 5672.205699498246759 0.965091306277457 5674.096749888969498 0.965419796287304 5675.988430734892063 0.965711258434257 5677.880742246202317 0.965696647225806 5679.773684633150879 0.965385525791092 5681.667258106075678 0.965439670196686 5683.561462875368306 0.966045049822624 5685.456299151495841 0.966292770297947 5687.351767144990845 0.965563131624175 5689.247867066470462 0.964519944296608 5691.144599126608227 0.964142098923235 5693.041963536152252 0.964492647169858 5694.939960505914314 0.965012468280176 5696.838590246794411 0.965378259647059 5698.737852969746200 0.965499907963763 5700.637748885797919 0.965375424265545 5702.538278206045106 0.965380140442048 5704.439441141667885 0.965736979431736 5706.341237903900947 0.966304947773021 5708.243668704055381 0.966559246089154 5710.146733753505941 0.966608601803129 5712.050433263717423 0.967062041362244 5713.954767446203732 0.968095508339574 5715.859736512559721 0.969527320539605 5717.765340674442086 0.971395019679981 5719.671580143596657 0.973544589127684 5721.578455131821102 0.975567706637126 5723.485965850990397 0.977518566267625 5725.394112513045002 0.979528200675368 5727.302895330012689 0.981214211792667 5729.212314513975798 0.982386480998533 5731.122370277089431 0.983524469976235 5733.033062831578718 0.984941933029342 5734.944392389752466 0.986487671176169 5736.856359163976776 0.987681350155577 5738.768963366690514 0.987984620019972 5740.682205210406210 0.988200070098197 5742.596084907700060 0.989716632554992 5744.510602671238303 0.992254856450882 5746.425758713737196 0.994625472897634 5748.341553247993033 0.996213551997840 5750.257986486866685 0.997307778982399 5752.175058643305420 0.998178099168166 5754.092769930312897 0.999134806366844 5756.011120560966447 1.000884715751577 5757.930110748412517 1.003483656516372 5759.849740705882141 1.005576859114706 5761.770010646661831 1.006537558019166 5763.690920784115406 1.007349371353274 5765.612471331671259 1.008310029157767 5767.534662502846913 1.009033036339896 5769.457494511213554 1.009588432324795 5771.380967570418761 1.010003694970010 5773.305081894175601 1.010078115723487 5775.229837696287177 1.009928574358565 5777.155235190608437 1.010372676440021 5779.081274591073452 1.011465615821260 5781.007956111679960 1.012286575610492 5782.935279966514827 1.012890528015186 5784.863246369721310 1.014301895231353 5786.791855535515424 1.016532432076301 5788.721107678184126 1.018660468089462 5790.651003012097135 1.020697933297665 5792.581541751684199 1.022947530686879 5794.512724111447824 1.024626936901297 5796.444550305965095 1.024924876596846 5798.377020549875851 1.024795240862841 5800.310135057912703 1.025616287901815 5802.243894044860099 1.026675484743240 5804.178297725578886 1.026404889904325 5806.113346314996306 1.025195813220683 5808.049040028132367 1.024865149222464 5809.985379080056191 1.025744529731240 5811.922363685916935 1.026475543535053 5813.859994060929239 1.026941048110421 5815.798270420396875 1.027888868954927 5817.737192979679094 1.028991669477033 5819.676761954210633 1.029616166908031 5821.616977559493534 1.030685137336865 5823.557840011118969 1.033221177927638 5825.499349524732679 1.035921320453766 5827.441506316057712 1.036940136283558 5829.384310600884419 1.036772772711062 5831.327762595090462 1.036524146933044 5833.271862514608074 1.036196698926640 5835.216610575451341 1.035798618916108 5837.162006993696195 1.035616386524943 5839.108051985507700 1.035342978177827 5841.054745767110035 1.034530331897597 5843.002088554800139 1.033269787074850 5844.950080564945893 1.032238981564949 5846.898722014000668 1.031884915777366 5848.848013118475137 1.031929281298577 5850.797954094957277 1.032298225731380 5852.748545160100548 1.032626909463190 5854.699786530650272 1.032392681633260 5856.651678423404519 1.031925615903250 5858.604221055240487 1.031861038844901 5860.557414643106313 1.032247502552608 5862.511259404018347 1.032759106538452 5864.465755555082069 1.033298119696740 5866.420903313458439 1.033744480315110 5868.376702896385723 1.033753891685671 5870.333154521169490 1.033250769425024 5872.290258405203531 1.032327012153970 5874.248014765938933 1.031264659910837 5876.206423820905002 1.029328696141010 5878.165485787696525 1.024604782687797 5880.125200883996513 1.016486244805057 5882.085569327548910 1.005894139022226 5884.046591336169513 0.993866266980454 5886.008267127745967 0.981474504618459 5887.970596920252319 0.969760381063679 5889.933580931719916 0.960154904881880 5891.897219380258321 0.953227461464864 5893.861512484043487 0.949156503737007 5895.826460461341412 0.949133815574290 5897.792063530474479 0.953131327018166 5899.758321909843289 0.960002375291874 5901.725235817914836 0.969415853458163 5903.692805473247063 0.980386558998120 5905.661031094452483 0.991091469055752 5907.629912900221825 0.999790552456663 5909.599451109315851 1.005724814457335 5911.569645940582632 1.008867747187354 5913.540497612928448 1.009509108851510 5915.512006345334157 1.009019050804918 5917.484172356858835 1.008564176085919 5919.456995866625221 1.007886256062227 5921.430477093847003 1.006750297902063 5923.404616257794260 1.005945440712944 5925.379413577817104 1.006164432765771 5927.354869273329314 1.006950118579656 5929.330983563839254 1.007430455115279 5931.307756668909860 1.007537782351615 5933.285188808181374 1.007604863613013 5935.263280201363159 1.007219204578245 5937.242031068253709 1.005910096245944 5939.221441628709727 1.004252509845814 5941.201512102666129 1.003085374965512 5943.182242710123319 1.002148354867197 5945.163633671176285 1.001098398665015 5947.145685205970949 1.000539781866040 5949.128397534737815 1.000647229841479 5951.111770877771050 1.000752273482318 5953.095805455456684 1.000558292194379 5955.080501488238951 1.000940561010528 5957.065859196638485 1.002433118216661 5959.051878801244129 1.003711055013192 5961.038560522737498 1.003812544368769 5963.025904581854775 1.003292882753512 5965.013911199412178 1.002583237658454 5967.002580596294138 1.001848940003783 5968.991912993473306 1.001395212568579 5970.981908611984181 1.001334305372707 5972.972567672934019 1.001019126581129 5974.963890397502837 0.999797659432671 5976.955877006960691 0.998314548402977 5978.948527722634026 0.997501497281187 5980.941842765925685 0.997319750576813 5982.935822358318546 0.997390143237672 5984.930466721358243 0.997373290184140 5986.925776076684997 0.997013160781403 5988.921750645991779 0.996415185750594 5990.918390651056143 0.995985462967856 5992.915696313718399 0.995684536343447 5994.913667855915264 0.995300829985850 5996.912305499636204 0.994840663896038 5998.911609466953450 0.994171506835655 6000.911579980005627 0.993431086569664 6002.912217261022306 0.992625988442320 6004.913521532293089 0.991947347880355 6006.915493016182154 0.991446157003560 6008.918131935126439 0.990933404237579 6010.921438511652923 0.990177058352968 6012.925412968345881 0.989570895050715 6014.930055527868717 0.989457880308351 6016.935366412952135 0.989215085330624 6018.941345846424156 0.988421075910410 6020.947994051161004 0.987875882013014 6022.955311250127124 0.988045159539969 6024.963297666348808 0.988146278015339 6026.971953522950571 0.987698944909083 6028.981279043107861 0.987531097253776 6030.991274450080709 0.988100313486731 6033.001939967194630 0.988465379554484 6035.013275817869726 0.988036414637975 6037.025282225582487 0.987739354647683 6039.037959413888530 0.988138552597310 6041.051307606411683 0.988255365306830 6043.065327026870364 0.987507750865688 6045.080017899037557 0.986701625998707 6047.095380446769923 0.986270565470853 6049.111414893994151 0.985539387652540 6051.128121464709693 0.984316565120044 6053.145500383006947 0.983288805441519 6055.163551873030883 0.982716785643532 6057.182276159012872 0.982370030676697 6059.201673465247950 0.981965643829618 6061.221744016124831 0.981320238978697 6063.242488036091345 0.980744247408116 6065.263905749673540 0.980712683648994 6067.285997381467496 0.980990442828223 6069.308763156162968 0.981195028596091 6071.332203298504282 0.981507286279522 6073.356318033319440 0.982052801589950 6075.381107585502832 0.982393649310891 6077.406572180045259 0.982233471854752 6079.432712041989362 0.982076029313273 6081.459527396464182 0.982317790704365 6083.487018468663337 0.982194202729008 6085.515185483877758 0.981275200966254 6087.544028667452039 0.980677206737898 6089.573548244813537 0.980994818579076 6091.603744441458730 0.981183701899220 6093.634617482976864 0.980840371823149 6095.666167595013576 0.981071382000336 6097.698395003298174 0.982113056150978 6099.731299933626360 0.982899498249680 6101.764882611889334 0.983302308143100 6103.799143264033773 0.984253282296196 6105.834082116090940 0.985712472515443 6107.869699394162126 0.986532232284363 6109.905995324423202 0.986574823060592 6111.942970133139170 0.986643758869669 6113.980624046636876 0.986732852525039 6116.018957291322295 0.986244836552248 6118.057970093667791 0.985495915714882 6120.097662680245776 0.985259213060037 6122.138035277681411 0.985216196458553 6124.179088112682621 0.984742025662202 6126.220821412027362 0.983889518532263 6128.263235402586361 0.983005752296524 6130.306330311289457 0.982631713272163 6132.350106365146530 0.982872649908193 6134.394563791237488 0.983160723128851 6136.439702816736826 0.983176683690490 6138.485523668876340 0.982837079342910 6140.532026574970587 0.982399773566555 6142.579211762399609 0.982704832617351 6144.627079458642584 0.983710301886974 6146.675629891235076 0.984587311547945 6148.724863287791777 0.985077569983054 6150.774779876000139 0.984954175051988 6152.825379883641290 0.984427196367276 6154.876663538552748 0.984284548385194 6156.928631068656614 0.984474657406418 6158.981282701940472 0.984685027945352 6161.034618666491042 0.984854218748185 6163.088639190449612 0.984684383152978 6165.143344502042055 0.984020535638445 6167.198734829560635 0.983236264546589 6169.254810401396753 0.982825119068698 6171.311571445995469 0.982780784412422 6173.369018191886425 0.982523495249180 6175.427150867673845 0.981800988450716 6177.485969702034708 0.981055685512296 6179.545474923737856 0.980532499429216 6181.605666761610337 0.979957259612867 6183.666545444564690 0.979334329687388 6185.728111201578940 0.979303859955793 6187.790364261729337 0.979969840494909 6189.853304854148519 0.980675655832164 6191.916933208052797 0.981304257929761 6193.981249552727604 0.982200611893065 6196.046254117553872 0.983251309327323 6198.111947131969828 0.984275910414105 6200.178328825497374 0.985467576800384 6202.245399427729353 0.986879513718477 6204.313159168350467 0.988319533343619 6206.381608277107262 0.989477874237650 6208.450746983827230 0.990026547982316 6210.520575518407895 0.989894984492076 6212.591094110843187 0.989580747098243 6214.662302991183424 0.989061813156255 6216.734202389563507 0.987900019166269 6218.806792536189278 0.986467447191986 6220.880073661360257 0.985464064815392 6222.954045995434171 0.984521025373255 6225.028709768853332 0.983213291318453 6227.104065212129171 0.982034778187432 6229.180112555869528 0.981460996092702 6231.256852030739537 0.981188970969589 6233.334283867488921 0.980655872982387 6235.412408296935610 0.979928047063027 6237.491225549996670 0.979367842298018 6239.570735857645559 0.978711576073239 6241.650939450937585 0.977711541490019 6243.731836561006276 0.977267755697605 6245.813427419057916 0.977669994652708 6247.895712256391562 0.978026771777365 6249.978691304366293 0.977859794794195 6252.062364794424866 0.977031436949303 6254.146732958078246 0.976311283421544 6256.231796026937445 0.976786436399638 6258.317554232669863 0.977572254650842 6260.404007807026574 0.977264296677109 6262.491156981826862 0.976078138747225 6264.579001988991877 0.974211533883238 6266.667543060497337 0.970901531575291 6268.756780428401726 0.966119410324557 6270.846714324838103 0.961345809553528 6272.937344982033210 0.957321647343909 6275.028672632272901 0.953369436058157 6277.120697507927616 0.949467153154543 6279.213419841436917 0.946638314048660 6281.306839865339498 0.944906637916029 6283.400957812230445 0.943412713214036 6285.495773914790334 0.942860822959978 6287.591288405768864 0.944760281318884 6289.687501518014869 0.948221681499308 6291.784413484434481 0.951682652206506 6293.882024538017504 0.954966722672800 6295.980334911825594 0.957984667984665 6298.079344839016812 0.960418296943794 6300.179054552808338 0.962217487921586 6302.279464286501934 0.963732685673528 6304.380574273474849 0.964881631914976 6306.482384747179822 0.965051870124470 6308.584895941161449 0.964701323121470 6310.688108089027082 0.965104150994099 6312.792021424466839 0.965800846278771 6314.896636181241774 0.965720373699633 6317.001952593212991 0.965322166999632 6319.107970894295249 0.965180653215072 6321.214691318492441 0.965239576057280 6323.322114099877581 0.965476739050797 6325.430239472620997 0.966139818917812 6327.539067670953955 0.967133613163147 6329.648598929189575 0.967587301938929 6331.758833481713737 0.967212688643444 6333.869771563010545 0.966750719038184 6335.981413407621403 0.966844178341807 6338.093759250174116 0.967566514887382 6340.206809325366521 0.968309593868899 6342.320563867995588 0.968591695298345 6344.435023112914678 0.968421032749602 6346.550187295066280 0.968010922070747 6348.666056649461098 0.968049750701597 6350.782631411208058 0.968943262010998 6352.899911815476116 0.970736941911292 6355.017898097518810 0.973154240887313 6357.136590492661526 0.975245339293511 6359.255989236326968 0.977130119975903 6361.376094563997867 0.979807546618436 6363.496906711241536 0.982936983949692 6365.618425913697138 0.985745698600467 6367.740652407102061 0.988305247136765 6369.863586427252812 0.990171269916356 6371.987228210030480 0.990970878956561 6374.111577991396189 0.990995169113807 6376.236636007381094 0.991153447668051 6378.362402494116395 0.991588835177170 6380.488877687792410 0.991412063904203 6382.616061824683129 0.990427557068915 6384.743955141136212 0.989238891639528 6386.872557873597543 0.988670246842702 6389.001870258572126 0.989095680971765 6391.131892532649545 0.990565530602800 6393.262624932493054 0.992656044537906 6395.394067694864134 0.994365045752495 6397.526221056581562 0.995156290678726 6399.659085254553247 0.995736954019444 6401.792660525756219 0.996670778079389 6403.926947107267551 0.998343721617448 6406.061945236225256 1.000166705726664 6408.197655149849197 1.000778706928946 6410.334077085435638 1.000699276048595 6412.471211280376338 1.001032894931443 6414.609057972124901 1.001676600622998 6416.747617398219518 1.002581557052565 6418.886889796272953 1.003952547142874 6421.026875403993472 1.005510051493006 6423.167574459150273 1.006687852977216 6425.308987199600779 1.007641220602742 6427.451113863271530 1.009006385472002 6429.593954688190934 1.010324395641832 6431.737509912444693 1.010599389235493 6433.881779774206734 1.010344286142026 6436.026764511728288 1.010208465706667 6438.172464363335166 1.008696818078534 6440.318879567450495 1.005595649596913 6442.466010362559246 1.003765516236077 6444.613856987231884 1.003913648522840 6446.762419680110725 1.004335968562828 6448.911698679938127 1.004462124084697 6451.061694225516476 1.004572859915770 6453.212406555734560 1.005133496713817 6455.363835909553018 1.006315988362047 6457.515982526033440 1.008288828495879 6459.668846644295627 1.011340334601783 6461.822428503548508 1.013890884451744 6463.976728343070135 1.014597333083176 6466.131746402243152 1.014461597077928 6468.287482920503862 1.014339793100709 6470.443938137381338 1.014719732409737 6472.601112292473772 1.015065867965167 6474.759005625482132 1.014467647923721 6476.917618376162864 1.013728964187864 6479.076950784364271 1.013705502851516 6481.237003090004691 1.013442243230953 6483.397775533103413 1.012796208525907 6485.559268353737934 1.013005990634978 6487.721481792077611 1.013957217996152 6489.884416088358194 1.014581810689127 6492.048071482920932 1.015392941390206 6494.212448216165285 1.017241069308827 6496.377546528578023 1.019287300133221 6498.543366660716856 1.020966857901315 6500.709908853243178 1.023615868505953 6502.877173346878408 1.027202746742318 6505.045160382427639 1.028780281622565 6507.213870200778729 1.028521242237974 6509.383303042893203 1.028932900920032 6511.553459149832634 1.029714743912401 6513.724338762719526 1.029527273040841 6515.895942122760971 1.029098096029422 6518.068269471241365 1.029399340846639 6520.241321049541511 1.029560204736324 6522.415097099107697 1.029164747944976 6524.589597861468064 1.029558703203247 6526.764823578228970 1.030989737138836 6528.940774491094089 1.031859478414001 6531.117450841829850 1.032047416976724 6533.294852872289994 1.032312047727864 6535.472980824399201 1.032384507966015 6537.651834940187655 1.032023051777718 6539.831415461741926 1.031916092930445 6542.011722631237717 1.032153017085549 6544.192756690924398 1.032157752181916 6546.374517883154112 1.032360518164389 6548.557006450335393 1.033437443946012 6550.740222634969541 1.035702894329575 6552.924166679628797 1.039062827142142 6555.108838826986357 1.041971483570225 6557.294239319777262 1.043851796695549 6559.480368400823863 1.045493073768128 6561.667226313022184 1.046765070456153 6563.854813299371017 1.047459577168218 6566.043129602927365 1.048114692038174 6568.232175466838271 1.048727952255642 6570.421951134324445 1.047913717714647 6572.612456848707552 1.045164511449013 6574.803692853370194 1.043242168378414 6576.995659391783192 1.043417203975914 6579.188356707498315 1.043209633516449 6581.381785044142816 1.042443096147727 6583.575944645443087 1.042834728973679 6585.770835755188273 1.043848881353161 6587.966458617255739 1.044024261048215 6590.162813475595613 1.043858619786969 6592.359900574262610 1.044134660327539 6594.557720157368749 1.044171657499969 6596.756272469117903 1.043565810753675 6598.955557753786707 1.043202350647935 6601.155576255752749 1.043687291165460 6603.356328219455463 1.044170873798044 6605.557813889425233 1.043879635557106 6607.760033510262474 1.043588235308116 6609.962987326672192 1.044261117299907 6612.166675583421238 1.045653640561760 6614.371098525362868 1.046920988871099 6616.576256397426732 1.047702230638358 6618.782149444643437 1.048147550283493 6620.988777912106343 1.048386831214097 6623.196142044996122 1.048218555851250 6625.404242088567116 1.048033314250108 6627.613078288179167 1.048139320624240 6629.822650889252145 1.047785284431658 6632.032960137292321 1.046701352942313 6634.244006277883273 1.045672605354240 6636.455789556711352 1.044826239460374 6638.668310219522937 1.043881717711767 6640.881568512153535 1.042827027190941 6643.095564680520511 1.041689172401134 6645.310298970616714 1.040471386160037 6647.525771628537768 1.039275201643997 6649.741982900441144 1.038503200163982 6651.958933032570712 1.038101412821639 6654.176622271248561 1.037243892291384 6656.395050862898643 1.035593185903576 6658.614219054004934 1.034290116664175 6660.834127091142363 1.034458400179134 6663.054775220961346 1.035382528912110 6665.276163690213252 1.036270878671621 6667.498292745712206 1.037029943717267 6669.721162634361463 1.037429362322188 6671.944773603140675 1.037410058690033 6674.169125899130449 1.037307720377747 6676.394219769474148 1.037344837989528 6678.620055461404263 1.037703769241025 6680.846633222229684 1.037670957987249 6683.073953299362074 1.036676955111019 6685.302015940273122 1.035607631332808 6687.530821392526377 1.034645194081608 6689.760369903759965 1.033631859247992 6691.990661721714787 1.032646344624532 6694.221697094195406 1.032112340855749 6696.453476269092789 1.032195634414302 6698.685999494377029 1.032160342566012 6700.919267018118262 1.031933199633497 6703.153279088453019 1.032257550910629 6705.388035953602412 1.032489496179248 6707.623537861867590 1.032108553286507 6709.859785061650655 1.031530946146685 6712.096777801416465 1.031047998229557 6714.334516329719918 1.030915294017176 6716.573000895199584 1.030620137074661 6718.812231746567704 1.029580209388646 6721.052209132642020 1.028661454608875 6723.292933302302117 1.027900108296975 6725.534404504516715 1.026940459913918 6727.776622988332747 1.026403549792929 6730.019589002897192 1.025997788759953 6732.263302797424330 1.025601058509429 6734.507764621213937 1.025760697097553 6736.752974723644002 1.025430457407341 6738.998933354196197 1.023939921174697 6741.245640762414041 1.023198362542071 6743.493097197932912 1.023670755799509 6745.741302910461854 1.023962518773642 6747.990258149817237 1.023562085249481 6750.239963165873633 1.023437171248162 6752.490418208600204 1.023830653187042 6754.741623528039781 1.023680119097212 6756.993579374340698 1.022732035987699 6759.246285997713130 1.022337302315971 6761.499743648456388 1.022728168775019 6763.753952576949814 1.022448139503967 6766.008913033674617 1.021559393237961 6768.264625269173848 1.021105539887645 6770.521089534082421 1.020400517850978 6772.778306079112554 1.018629379997072 6775.036275155080148 1.016754305982264 6777.294997012862041 1.015558016351497 6779.554471903428748 1.014623940492518 6781.814700077825364 1.013927113359326 6784.075681787202484 1.013367579635361 6786.337417282774368 1.012770047170791 6788.599906815843497 1.012897127812402 6790.863150637797844 1.013679771324852 6793.127149000102690 1.014001494835725 6795.391902154326999 1.013664451600843 6797.657410352103398 1.012656107606833 6799.923673845153644 1.011930027991294 6802.190692885278622 1.011868853923493 6804.458467724383809 1.011265753213640 6806.726998614437434 1.010462679859548 6808.996285807497770 1.009831046520816 6811.266329555700395 1.008431381874999 6813.537130111288207 1.006865761822391 6815.808687726563221 1.005856864314671 6818.081002653921132 1.005672354130174 6820.354075145835850 1.006529635308148 6822.627905454883148 1.007024159789444 6824.902493833705194 1.007002993524789 6827.177840535034193 1.007337908189775 6829.453945811677841 1.007548100995443 6831.730809916552971 1.007432859386837 6834.008433102634626 1.007142713231186 6836.286815622994254 1.006778147793473 6838.565957730778791 1.006452086868298 6840.845859679238856 1.005665357536626 6843.126521721689642 1.004036506911544 6845.407944111539109 1.002247783336566 6847.690127102271617 1.001008877313466 6849.973070947477026 1.000676451928347 6852.256775900807042 1.001634984027549 6854.541242216009778 1.001366012668184 6856.826470146912470 1.000206313243578 6859.112459947422394 0.997116185684312 6861.399211871554144 0.992623948557846 6863.686726173382340 0.991198079514285 6865.975003107076191 0.991326679818504 6868.264042926882212 0.992556679136588 6870.553845887150601 0.994440334242957 6872.844412242298858 0.996222757314637 6875.135742246831796 0.996570081757499 6877.427836155337900 0.997567847623556 6879.720694222505699 0.998332231330839 6882.014316703091026 1.002290281737587 6884.308703851940663 1.006866092683274 6886.603855923980518 1.009448624119985 6888.899773174239272 1.010318453232068 6891.196455857814726 1.009067437596683 6893.493904229891086 1.007177135471505 6895.792118545735320 1.006202030448708 6898.091099060718079 1.006317426194359 6900.390846030274588 1.005769343638248 6902.691359709931930 1.004548698968097 6904.992640355296317 1.002950778471366 6907.294688222078548 1.001430695778415 6909.597503566055821 0.999500159570887 6911.901086643096278 0.998380648761358 6914.205437709146281 0.998573335472043 6916.510557020259512 0.998079413214496 6918.816444832552406 0.996431610967034 6921.123101402235079 0.994785465002140 6923.430526985595861 0.993824874756084 6925.738721839029495 0.993287123900434 6928.047686218995295 0.993434963710378 6930.357420382044438 0.993985529608477 6932.667924584813591 0.993568937839409 6934.979199084018546 0.991993858433197 6937.291244136482419 0.990422127374355 6939.604059999091987 0.989193372357729 6941.917646928825889 0.987965745459555 6944.232005182743706 0.987519021288481 6946.547135018008703 0.988037047867592 6948.863036691852358 0.988197425384147 6951.179710461595278 0.987079084745488 6953.497156584639924 0.987206945496414 6955.815375318494262 0.988633341814490 6958.134366920729917 0.989224066871949 6960.454131649014016 0.990172517393258 6962.774669761090991 0.991471451007985 6965.095981514810774 0.992207534370876 6967.418067168092421 0.992580737176008 6969.740926978944117 0.993307962971310 6972.064561205454083 0.993651660781594 6974.388970105818771 0.992570738137578 6976.714153938299205 0.989976535547195 6979.040112961247360 0.987641941471679 6981.366847433097064 0.985850606572191 6983.694357612388558 0.983807101368360 6986.022643757727565 0.982655948944831 6988.351706127810758 0.981966949475875 6990.681544981417574 0.980666785588378 6993.012160577432951 0.978972022037368 6995.343553174806402 0.977526563645328 6997.675723032582027 0.977077107763909 7000.008670409889419 0.977824514916751 7002.342395565938205 0.978329961292639 7004.676898760044423 0.978336162302334 7007.012180251592326 0.978024723036620 7009.348240300056204 0.977736457725412 7011.685079164990384 0.978322222035412 7014.022697106059240 0.978962549470237 7016.361094382990814 0.978499336146906 7018.700271255606822 0.978035342088043 7021.040227983808109 0.978268706747266 7023.380964827604657 0.978791054989189 7025.722482047071935 0.979257295240189 7028.064779902377268 0.979484893074301 7030.407858653768926 0.979684203533089 7032.751718561604321 0.979463074822138 7035.096359886304526 0.979353994285194 7037.441782888385205 0.980500500240165 7039.787987828442056 0.981983587394132 7042.134974967178096 0.982160804047115 7044.482744565363646 0.981317704805920 7046.831296883860887 0.980985354989643 7049.180632183613852 0.981461446417922 7051.530750725672988 0.982020836660999 7053.881652771156951 0.982868234668016 7056.233338581275348 0.983654982785755 7058.585808417321459 0.984117690638884 7060.939062540693158 0.984919394217649 7063.293101212857437 0.986546027063315 7065.647924695373149 0.988398835983122 7068.003533249881002 0.989111248612479 7070.359927138128114 0.988438939296923 7072.717106621930725 0.987826818763624 7075.075071963197843 0.987784454247753 7077.433823423923968 0.987970411302847 7079.793361266185457 0.988205726365229 7082.153685752168712 0.988346235625766 7084.514797144123804 0.988207511597625 7086.876695704398117 0.988094050269583 7089.239381695415432 0.988786973029254 7091.602855379712310 0.989829231889728 7093.967117019889884 0.990203234236949 7096.332166878642965 0.989970248689048 7098.698005218747312 0.989812480240994 7101.064632303089638 0.989738494682632 7103.432048394620324 0.989668309552688 7105.800253756386155 0.989861477090968 7108.169248651513044 0.990565207091251 7110.539033343238771 0.991663333946103 7112.909608094863870 0.992826959795806 7115.280973169785284 0.994606072886894 7117.653128831482718 0.997252705540690 7120.026075343541379 0.999725625237694 7122.399812969616505 1.001488473099595 7124.774341973456103 1.002442065655511 7127.149662618889124 1.002748182456541 7129.525775169854569 1.003353482233142 7131.902679890357831 1.004014859475848 7134.280377044499801 1.004300223210939 7136.658866896461404 1.004116865599255 7139.038149710533617 1.003315156803992 7141.418225751074715 1.002389464733364 7143.799095282536655 1.002247774075080 7146.180758569454156 1.003388420389858 7148.563215876471077 1.005010907073805 7150.946467468295850 1.005740348937712 7153.330513609736045 1.005319638407380 7155.715354565685629 1.004085670471637 7158.100990601118610 1.002426687064825 7160.487421981120860 1.001305449598448 7162.874648970843737 1.000590602008526 7165.262671835535002 0.999758492210122 7167.651490840524275 0.999275176507838 7170.041106251248493 0.999168334466146 7172.431518333213717 0.998212756596516 7174.822727352022412 0.997648080089679 7177.214733573356170 0.997704169466098 7179.607537263008453 0.997968640032651 7182.001138686839113 0.998558394072107 7184.395538110803500 0.999036719365046 7186.790735800938819 0.999668433249834 7189.186732023392324 1.000176914782762 7191.583527044379480 1.000785462275847 7193.981121130211250 1.002208459912905 7196.379514547277722 1.003193395375751 7198.778707562082673 1.003855853893199 7201.178700441196270 1.005364788021238 7203.579493451283270 1.007290316605255 7205.981086859093011 1.010391372905625 7208.383480931482154 1.012790763007969 7210.786675935376479 1.013682759608316 7213.190672137798174 1.012907531298344 7215.595469805849461 1.011409347834203 7218.001069206746251 1.009762704330908 7220.407470607769028 1.006544642876944 7222.814674276295591 1.000612473213119 7225.222680479793780 0.993996411198295 7227.631489485812381 0.988395913989984 7230.041101562010226 0.981687624790746 7232.451516976117091 0.975068823738271 7234.862735995954608 0.970295397593205 7237.274758889429904 0.967242553748384 7239.687585924559244 0.964801850315780 7242.101217369428014 0.961624827952662 7244.515653492218007 0.960361126663047 7246.930894561191053 0.963967786045348 7249.346940844723576 0.968366600039714 7251.763792611255667 0.970544730301751 7254.181450129328368 0.972489966690738 7256.599913667562760 0.975267713213810 7259.019183494690878 0.978261644969630 7261.439259879513884 0.978995563583611 7263.860143090928432 0.977644871095176 7266.281833397913942 0.976957038198183 7268.704331069563523 0.977971947919716 7271.127636375034854 0.979968272583070 7273.551749583584751 0.982571494590674 7275.976670964550067 0.985064881363831 7278.402400787383158 0.986232873334775 7280.828939321602775 0.985877974329567 7283.256286836822255 0.984557046762624 7285.684443602739520 0.985266217684576 7288.113409889166178 0.988169270942361 7290.543185965979319 0.991787840466052 7292.973772103154261 0.993094665552760 7295.405168570748174 0.991450666030240 7297.837375638931007 0.989841105851645 7300.270393577940922 0.989920248790823 7302.704222658113395 0.991921904119264 7305.138863149873032 0.993770251115299 7307.574315323729934 0.995269573158428 7310.010579450302430 0.997140800186415 7312.447655800280700 1.000518297444558 7314.885544644450420 1.005021050001810 7317.324246253680030 1.009143876789067 7319.763760898952569 1.012819398958328 7322.204088851317465 1.015751489864440 7324.645230381921465 1.017194717152531 7327.087185761995897 1.018396723543659 7329.529955262883050 1.021377040684122 7331.973539155996150 1.024287717732784 7334.417937712842104 1.025310579121133 7336.863151205016038 1.024154362926634 7339.309179904220400 1.021910392558977 7341.756024082231306 1.020222062238133 7344.203684010917641 1.019118128046131 7346.652159962236510 1.017866268869199 7349.101452208255068 1.016176012185635 7351.551561021108682 1.014253585848988 7354.002486673032763 1.012053569191293 7356.454229436343667 1.010309765045453 7358.906789583473255 1.009451533662014 7361.360167386920693 1.009410745692766 7363.814363119282461 1.009679275345725 7366.269377053240532 1.009966456987744 7368.725209461588747 1.009862631172483 7371.181860617190978 1.009791604823262 7373.639330793006593 1.010362808669534 7376.097620262081364 1.011251841829890 7378.556729297573838 1.012131064074216 7381.016658172709867 1.012820192601889 7383.477407160816256 1.012566318507746 7385.938976535308029 1.011776788776243 7388.401366569686616 1.011280477371270 7390.864577537565310 1.010067475910053 7393.328609712627440 1.008131528117814 7395.793463368653647 1.007363728766131 7398.259138779509158 1.006922169755500 7400.725636219171975 1.005393996760029 7403.192955961691951 1.003233350260054 7405.661098281214436 1.001147682040977 7408.130063451970273 0.999865912285062 7410.599851748303990 0.998803269081229 7413.070463444628331 0.997793992002238 7415.541898815456079 0.999771559901435 7418.014158135384605 1.002385413593183 7420.487241679123144 1.004944439563940 7422.961149721451875 1.007844812657682 7425.435882537249199 1.010740152121316 7427.911440401478103 1.014090031909433 7430.387823589216168 1.017894865959172 7432.865032375608280 1.021034744626352 7435.343067035900276 1.022927144658595 7437.821927845422579 1.023976597423227 7440.301615079618387 1.023072804563251 7442.782129014001839 1.021574034129748 7445.263469924184392 1.019412327985051 7447.745638085863902 1.017773065095067 7450.228633774851914 1.016730029280217 7452.712457267029095 1.015221699262169 7455.197108838375243 1.013456402808297 7457.682588764963839 1.012372149443280 7460.168897322952034 1.012209192416639 7462.656034788609759 1.012160060944153 7465.144001438279702 1.012226046552845 7467.632797548400958 1.012548986146933 7470.122423395500846 1.012729254278702 7472.612879256217639 1.012879119489086 7475.104165407263281 1.012824031855352 7477.596282125445214 1.012352375354094 7480.089229687659099 1.011711626991499 7482.583008370913376 1.011299532457993 7485.077618452287425 1.011113375458718 7487.573060208959760 1.011202328979646 7490.069333918195298 1.011340269954033 7492.566439857371734 1.011633583430637 7495.064378303937701 1.011686049379774 7497.563149535442790 1.011166777618153 7500.062753829520261 1.011051756924410 7502.563191463918884 1.011811623833790 7505.064462716457456 1.012467050874675 7507.566567865054822 1.012581439422109 7510.069507187716226 1.012346106082253 7512.573280962559693 1.012083711734795 7515.077889467776004 1.011888321723760 7517.583332981654166 1.011160198692836 7520.089611782569591 1.010091973372447 7522.596726149012284 1.009094266267813 7525.104676359544101 1.007612096216283 7527.613462692825124 1.006013151881457 7530.123085427601836 1.005254443702964 7532.633544842737138 1.004682120038865 7535.144841217163048 1.003650244272089 7537.656974829912542 1.002616877611705 7540.169945960111363 1.002148751830042 7542.683754886969837 1.002210463938478 7545.198401889818342 1.002762600691392 7547.713887248050924 1.003792820741240 7550.230211241168945 1.004884070713155 7552.747374148753806 1.005398892058411 7555.265376250507870 1.005425335901624 7557.784217826199892 1.005651367063313 7560.303899155701401 1.005601227759233 7562.824420518969418 1.004722813666515 7565.345782196078289 1.003262149431926 7567.867984467170572 1.002000512161790 7570.391027612490689 1.000395300458423 7572.914911912369462 0.998659456882602 7575.439637647254131 0.997340221735018 7577.965205097661965 0.996323892852602 7580.491614544212098 0.995283682925164 7583.018866267607336 0.994476833581461 7585.546960548670540 0.991712951139245 7588.075897668291873 0.988582842068546 7590.605677907466088 0.982986803971593 7593.136301547270705 0.975361866597452 7595.667768868903295 0.968090331306383 7598.200080153627823 0.961342441575755 7600.733235682813756 0.955365981753001 7603.267235737915144 0.952521574424801 7605.802080600502450 0.950848412068708 7608.337770552217989 0.950666993532070 7610.874305874805032 0.953431024247547 7613.411686850092337 0.956340239702992 7615.949913760026902 0.961322113277798 7618.488986886626662 0.965750548986873 7621.028906512010508 0.969816090634321 7623.569672918391916 0.973779733869116 7626.111286388069857 0.975934666023459 7628.653747203462444 0.975034538979874 7631.197055647056914 0.975171528537170 7633.741212001443273 0.974212622942857 7636.286216549297933 0.973851185365826 7638.832069573414628 0.974625794234315 7641.378771356657126 0.977355820492637 7643.926322181993783 0.979708582481698 7646.474722332477540 0.979703376480346 7649.023972091278665 0.979555474322612 7651.574071741641092 0.981742857174936 7654.125021566907890 0.983792649077691 7656.676821850510350 0.984581791515880 7659.229472875997089 0.985252372662993 7661.782974926989482 0.985509390012657 7664.337328287208948 0.985170507674613 7666.892533240465127 0.985129291428020 7669.448590070684986 0.986237767751045 7672.005499061867340 0.988084882502968 7674.563260498112868 0.988163902030514 7677.121874663609560 0.987069369706237 7679.681341842663642 0.986720734388217 7682.241662319653187 0.986299586511592 7684.802836379056316 0.986266935541619 7687.364864305442097 0.986615572974597 7689.927746383495105 0.985518879408202 7692.491482897972674 0.981909243085191 7695.056074133733091 0.978105074808909 7697.621520375732871 0.974628800297114 7700.187821909012200 0.970745436140547 7702.754979018732229 0.966315840730725 7705.322991990124137 0.962715138087118 7707.891861108523699 0.959867286450272 7710.461586659352179 0.956204463595014 7713.032168928149986 0.951949562008189 7715.603608200530289 0.950527106851776 7718.175904762208120 0.951702891741104 7720.749058898986732 0.952205433626379 7723.323070896788522 0.951967384558797 7725.897941041605009 0.952013642459484 7728.473669619534121 0.951399358608988 7731.050256916761100 0.949893476389898 7733.627703219586692 0.948280417897558 7736.206008814388042 0.948065382600989 7738.785173987642338 0.948427921810924 7741.365199025915899 0.947544709662251 7743.946084215894189 0.946408845904613 7746.527829844334519 0.945672875460994 7749.110436198096977 0.944780880994382 7751.693903564130778 0.943904579795951 7754.278232229502464 0.942967339308148 7756.863422481353155 0.942164543438525 7759.449474606924923 0.941631194587727 7762.036388893548974 0.940518972582354 7764.624165628676565 0.939208162902512 7767.212805099831712 0.937597147194287 7769.802307594638478 0.936165814160071 7772.392673400813692 0.935328435474170 7774.983902806190599 0.934410167952887 7777.575996098676114 0.932940496272210 7780.168953566279924 0.931035362439543 7782.762775497109033 0.929591744141651 7785.357462179357753 0.928338274030841 7787.953013901339546 0.926574254671052 7790.549430951443355 0.924266281555864 7793.146713618157264 0.921792780341775 7795.744862190063031 0.919307575555571 7798.343876955857013 0.917023364461296 7800.943758204312871 0.915261827576866 7803.544506224305223 0.915072423652593 7806.146121304798726 0.914519253207335 7808.748603734876269 0.913419552458574 7811.351953803696233 0.913054245563481 7813.956171800519769 0.913723505421901 7816.561258014694431 0.915292279946653 7819.167212735692374 0.916612384812280 7821.774036253054874 0.917062018845163 7824.381728856430527 0.917174282872577 7826.990290835552514 0.916858981645367 7829.599722480279524 0.916430346859444 7832.210024080538460 0.916345053728703 7834.821195926364453 0.916318832163264 7837.433238307878128 0.916144182247007 7840.046151515323800 0.916068245480095 7842.659935839016725 0.915701806952106 7845.274591569376753 0.915210975213791 7847.890118996913770 0.916041418447116 7850.506518412257719 0.917784526791500 7853.123790106112210 0.919186685748796 7855.741934369284536 0.920258671030489 7858.360951492680215 0.921018221475195 7860.980841767292077 0.921242671697547 7863.601605484236643 0.920913350064213 7866.223242934700465 0.920361246297464 7868.845754409977417 0.920454767755865 7871.469140201449591 0.921549236408168 7874.093400600620043 0.922869359231598 7876.718535899064591 0.924835385706273 7879.344546388466370 0.926593701991287 7881.971432360595827 0.927256589759868 7884.599194107344374 0.927400899875069 7887.227831920678000 0.927886825747412 7889.857346092668195 0.928476964729066 7892.487736915474670 0.928482651219127 7895.119004681379010 0.928680062078882 7897.751149682737378 0.928772923300008 7900.384172212007797 0.927439203033180 7903.018072561742883 0.926283423183871 7905.652851024613483 0.927187093472577 7908.288507893364113 0.929151252637135 7910.925043460845700 0.931169100668892 7913.562458019999212 0.932646227138190 7916.200751863886580 0.934234692366951 7918.839925285643403 0.936148798775913 7921.479978578511691 0.937286643440640 7924.120912035820766 0.938578395440100 7926.762725951026368 0.940620173260145 7929.405420617653363 0.941857404228075 7932.048996329335750 0.942747460444462 7934.693453379795756 0.943649356631669 7937.338792062877474 0.945227638046393 7939.985012672499579 0.947203819638308 7942.632115502687157 0.948121258612108 7945.280100847562608 0.948867105530371 7947.928969001338373 0.949813181236088 7950.578720258348767 0.949684877931356 7953.229354913002680 0.948914858704662 7955.880873259816326 0.948075345059982 7958.533275593393228 0.947571276735034 7961.186562208460600 0.947626632122081 7963.840733399822057 0.947668764030299 7966.495789462383982 0.948334056544848 7969.151730691144621 0.950872287501846 7971.808557381225000 0.953752193100899 7974.466269827819815 0.955704838512368 7977.124868326231081 0.959557997655949 7979.784353171849943 0.964862257516641 7982.444724660190332 0.968880680104625 7985.105983086842571 0.971677339018576 7987.768128747500668 0.973640089040108 7990.431161937951401 0.974599074323467 7993.095082954102509 0.974921074228298 7995.759892091938127 0.974855967197517 7998.425589647546985 0.975592280543041 8001.092175917111490 0.977047827007460 8003.759651196933191 0.976663497821103 8006.428015783391857 0.975476715777695 8009.097269972970935 0.975765285085033 8011.767414062247553 0.977021775203656 8014.438448347918893 0.978898502562595 8017.110373126760351 0.981479357642519 8019.783188695651006 0.984288174851558 8022.456895351562707 0.986695089023348 8025.131493391590084 0.987453874976484 8027.806983112903254 0.987524682521718 8030.483364812778746 0.987756709598415 8033.160638788591314 0.987916858715582 8035.838805337808481 0.987922437354572 8038.517864758019641 0.988297977235678 8041.197817346891497 0.988701103323197 8043.878663402196253 0.989185636725783 8046.560403221796150 0.989423985063555 8049.243037103679853 0.989764673611404 8051.926565345908784 0.990711033402094 8054.610988246654415 0.991870276649164 8057.296306104175528 0.993884805971488 8059.982519216859146 0.997174797626451 8062.669627883163230 0.999682547099136 8065.357632401657611 1.000668477555604 8068.046533070999430 1.001855016726254 8070.736330189972250 1.002819378184699 8073.427024057435119 1.003050883099648 8076.118614972353498 1.002861530890370 8078.811103233784706 1.004187803780524 8081.504489140910664 1.006553429186044 8084.198772992987870 1.007710142408596 8086.893955089381052 1.007346281134402 8089.590035729547708 1.007593149605286 8092.287015213068116 1.008524076307749 8094.984893839598044 1.008986234150183 8097.683671908903307 1.009783428447995 8100.383349720837941 1.011584056858576 8103.083927575384223 1.014399543645590 8105.785405772597187 1.015571034125109 8108.487784612641008 1.014524216273605 8111.191064395780813 1.012159810170251 8113.895245422372682 1.009043937530658 8116.600327992896382 1.005462197312264 8119.306312407909900 1.000501496348364 8122.013198968077631 0.994020399774152 8124.720987974155832 0.986673754498110 8127.429679727028088 0.979127726759510 8130.139274527649832 0.971101898748373 8132.849772677089277 0.963809053620924 8135.561174476502856 0.957578125198181 8138.273480227175241 0.951935125337304 8140.986690230463864 0.945649319452503 8143.700804787838933 0.939141047573596 8146.415824200857969 0.934542246594646 8149.131748771207640 0.929773562134315 8151.848578800649193 0.922249229004772 8154.566314591052105 0.914470096053074 8157.284956444379532 0.908513217792557 8160.004504662718318 0.905429758498365 8162.724959548232619 0.905410143020065 8165.446321403195725 0.904714062128310 8168.168590529971880 0.903374530779895 8170.891767231052654 0.904112221583510 8173.615851809005107 0.907603002906699 8176.340844566505439 0.915410634956937 8179.066745806320796 0.924523611517150 8181.793555831347476 0.932484018271567 8184.521274944555444 0.937878318399125 8187.249903449024714 0.940226054149124 8189.979441647928070 0.942091688975202 8192.709889844563804 0.949831562202442 8195.441248342305698 0.960828284743026 8198.173517444640311 0.970171321175697 8200.906697455151516 0.976527833990299 8203.640788677519595 0.982287653194173 8206.375791415544882 0.988092144867221 8209.111705973113203 0.991832336819717 8211.848532654212249 0.992390264103189 8214.586271762926117 0.987691085443933 8217.324923603464413 0.973696767764400 8220.064488480114960 0.953436319565533 8222.804966697271084 0.936084513507923 8225.546358559424334 0.927213221356983 8228.288664371189952 0.923674196685482 8231.031884437259578 0.921435037680409 8233.776019062435807 0.919999092028860 8236.521068551614007 0.923196048175030 8239.267033209818692 0.932043389646255 8242.013913342145315 0.947809240485772 8244.761709253803929 0.968195972180030 8247.510421250097352 0.985834290118864 8250.260049636453914 0.996530931982543 8253.010594718380162 1.001851083918686 8255.762056801491781 1.005376384909862 8258.514436191500863 1.008101652284423 8261.267733194239554 1.008239506993777 8264.021948115623672 1.003554478132303 8266.777081261678177 0.997371002597577 8269.533132938520794 0.993841692938845 8272.290103452392941 0.993735644088758 8275.047993109619711 0.994375901212208 8277.806802216631695 0.992988166323757 8280.566531079954075 0.990090689057299 8283.327180006242997 0.987380290635893 8286.088749302225551 0.987216710278602 8288.851239274745240 0.991354672853862 8291.614650230745610 0.995700654928896 8294.378982477261161 0.998603889188234 8297.144236321459175 1.000783648752836 8299.910412070579696 1.001700596190590 8302.677510031977363 1.002416196815838 8305.445530513099584 1.001583649444649 8308.214473821519277 0.998523183025611 8310.984340264887578 0.995995994651488 8313.755130150970217 0.993478112085377 8316.526843787623875 0.992851167334632 8319.299481482830743 0.994572386031346 8322.073043544656684 0.995208835646160 8324.847530281273066 0.995599455954326 8327.622942000949479 0.997644354924194 8330.399279012079205 1.001453408937392 8333.176541623139201 1.008959455124586 8335.954730142711924 1.019362121593915 8338.733844879476237 1.027319250236749 8341.513886142240153 1.031851488511839 8344.294854239889901 1.033702048342151 8347.076749481420848 1.034411813398911 8349.859572175922949 1.034610569921477 8352.643322632618947 1.033131847683686 8355.428001160802523 1.030080447959785 8358.213608069883776 1.027676557300276 8361.000143669365571 1.022955376016393 8363.787608268879922 1.016475762386846 8366.576002178138879 1.012575626496273 8369.365325706961812 1.010257434105288 8372.155579165273593 1.008135065816520 8374.946762863093682 1.007085202777190 8377.738877110572503 1.007694726558161 8380.531922217933243 1.010212009051938 8383.325898495517322 1.012543430990245 8386.120806253757110 1.014384982107542 8388.916645803214124 1.016602072147151 8391.713417454529917 1.017252984259253 8394.511121518457003 1.018119034054661 8397.309758305840660 1.020429746594070 8400.109328127660774 1.022704490343130 8402.909831294968171 1.023485251353648 8405.711268118933731 1.023615804281211 8408.513638910817463 1.022846821658902 8411.316943982012162 1.021972069624895 8414.121183643987024 1.021765277521257 8416.926358208324018 1.023508622611001 8419.732467986699703 1.024954040316505 8422.539513290925242 1.024674198665324 8425.347494432880922 1.023499853149447 8428.156411724567079 1.022575785638683 8430.966265478076821 1.021026410075734 8433.777056005634222 1.019120699673402 8436.588783619539754 1.018599457867489 8439.401448632206666 1.016322466070069 8442.215051356146432 1.012195122734402 8445.029592103997857 1.008642616215293 8447.845071188479778 1.006274120872277 8450.661488922421995 1.004703187122940 8453.478845618752530 1.003447111345919 8456.297141590526735 1.002345919309237 8459.116377150881817 1.001571126003426 8461.936552613065942 1.000993821912566 8464.757668290430956 0.999520205085598 8467.579724496425115 0.999622134521824 8470.402721544627639 1.000127638832213 8473.226659748697784 0.998649484076651 8476.051539422405767 0.995782847890697 8478.877360879618209 0.994767734652654 8481.704124434332698 0.995160572648540 8484.531830400623221 0.994789323971681 8487.360479092683818 0.995244303400405 8490.190070824797658 0.995930258258364 8493.020605911378880 0.995741695275555 8495.852084666927112 0.994896641627546 8498.684507406049306 0.993434240698986 8501.517874443448818 0.992139829098489 8504.352186093963610 0.991825285340163 8507.187442672508041 0.991373600996273 8510.023644494109249 0.990291366530565 8512.860791873894414 0.988954202461348 8515.698885127118047 0.986758450595268 8518.537924569116512 0.983358036750835 8521.377910515335316 0.979724220063257 8524.218843281323643 0.977009403700183 8527.060723182756192 0.976118327019026 8529.903550535389513 0.975536605886989 8532.747325655091117 0.974400489477212 8535.592048857830378 0.972985407102500 8538.437720459703996 0.972886055040195 8541.284340776886893 0.973375854210817 8544.131910125674040 0.973934339549418 8546.980428822458634 0.975731069411346 8549.829897183735739 0.977139944781340 8552.680315526129561 0.978205686105314 8555.531684166346167 0.979641597022988 8558.384003421202578 0.981956519191017 8561.237273607614043 0.983759143083049 8564.091495042630413 0.983711955072932 8566.946668043376121 0.982267696619723 8569.802792927095652 0.981703924828569 8572.659870011124440 0.982325036712645 8575.517899612932524 0.983762795195285 8578.376882050073618 0.985893332149979 8581.236817640210575 0.986806269311812 8584.097706701104471 0.987018083003213 8586.959549550649172 0.988146933151291 8589.822346506820395 0.990216836970582 8592.686097887704818 0.992873285016987 8595.550804011490982 0.995786258651378 8598.416465196492936 0.998349432202643 8601.283081761112044 0.999600906526932 8604.150654023860625 1.001055301105534 8607.019182303347407 1.003937326336255 8609.888666918317540 1.007794538454693 8612.759108187592574 1.011282776287653 8615.630506430110472 1.013773420963552 8618.502861964907424 1.015906546824174 8621.376175111150587 1.018929417298173 8624.250446188088972 1.020794609658857 8627.125675515086186 1.021233119145435 8630.001863411602244 1.022069956055042 8632.879010197231764 1.022385205647385 8635.757116191649402 1.021747882711171 8638.636181714644408 1.020813437488138 8641.516207086113354 1.020257269453994 8644.397192626049218 1.019873638500947 8647.279138654581402 1.019486904527934 8650.162045491913887 1.018976623842255 8653.045913458372524 1.019789939948138 8655.930742874375937 1.021950945689315 8658.816534060479171 1.024107284416344 8661.703287337319125 1.025158701336019 8664.591003025643658 1.025372252043496 8667.479681446302493 1.024811069672450 8670.369322920276318 1.023510875097096 8673.259927768627676 1.022216796464661 8676.151496312537347 1.021439179829059 8679.044028873278876 1.019996604774110 8681.937525772262234 1.017708245276331 8684.831987330981065 1.015220870674272 8687.727413871041790 1.013781758761141 8690.623805714147238 1.012963802639723 8693.521163182138480 1.012616504240355 8696.419486596932984 1.013257119603111 8699.318776280570091 1.014425445321148 8702.219032555181911 1.015189499696135 8705.120255743036978 1.014652485224653 8708.022446166485679 1.014535204496025 8710.925604147992999 1.014522298649138 8713.829730010122148 1.013558147141951 8716.734824075572760 1.011919307895965 8719.640886667124505 1.012372142659770 8722.547918107671649 1.011830721566153 8725.455918720210320 1.009515762372899 8728.364888827869436 1.008023472047576 8731.274828753857946 1.007166787756927 8734.185738821503037 1.006972393282454 8737.097619354239214 1.007050453347116 8740.010470675599208 1.006828942521285 8742.924293109252176 1.006867732623080 8745.839086978947307 1.006574481892935 8748.754852608550209 1.007137625066653 8751.671590322024713 1.011590977540377 8754.589300443471075 1.015896663793372 8757.507983297073224 1.018929706143510 8760.427639207124230 1.021803196919619 8763.348268498026300 1.024512518471799 8766.269871494308973 1.025852073086595 8769.192448520585458 1.027367417989600 8772.115999901587202 1.029782183283376 8775.040525962145693 1.030437939213602 8777.966027027225209 1.028460144198088 8780.892503421871879 1.025822308410379 8783.819955471250069 1.024574186524256 8786.748383500624186 1.021741665282962 8789.677787835391428 1.017090543945687 8792.608168801032662 1.012894162607109 8795.539526723146992 1.011083478150022 8798.471861927429927 1.007660767671540 8801.405174739717040 1.005696444883383 8804.339465485920300 1.005725601652653 8807.274734492073549 1.005206147290457 8810.210982084308853 1.006424329652629 8813.148208588892885 1.009675675580588 8816.086414332177810 1.015840587326308 8819.025599640626751 1.023996694921038 8821.965764840819247 1.030106580270329 8824.906910259429424 1.034953886504401 8827.849036223269650 1.038695551347234 8830.792143059234149 1.038814653497638 8833.736231094335380 1.038919362325826 8836.681300655684026 1.038453401724665 8839.627352070529014 1.034842044027799 8842.574385666201124 1.028939043349101 8845.522401770145734 1.021917411106990 8848.471400709913723 1.015834293565439 8851.421382813188757 1.011387448651297 8854.372348407736354 1.007537449702231 8857.324297821443906 1.005525299905945 8860.277231382295213 1.004836454347452 8863.231149418414134 1.004200864243193 8866.186052258002746 1.003338236983879 8869.141940229383181 1.007311640915125 8872.098813660979431 1.012979370066919 8875.056672881350096 1.017208456596441 8878.015518219139267 1.020617574855078 8880.975350003105632 1.023091124665568 8883.936168562111561 1.024916972980075 8886.897974225154030 1.026327891514323 8889.860767321315507 1.027832393746318 8892.824548179791236 1.028156363086187 8895.789317129883784 1.025843427902021 8898.755074501030322 1.020967860118969 8901.721820622751693 1.017802951760338 8904.689555824681520 1.016359066821924 8907.658280436564382 1.016419323335356 8910.627994788272190 1.017507134604930 8913.598699209767801 1.017273533350012 8916.570394031128671 1.012945763148442 8919.543079582541395 1.007649957411108 8922.516756194296249 1.004204236040023 8925.491424196819935 0.999606838054820 8928.467083920622827 1.091610226023192 8931.443735696333533 1.081916055089224 8934.421379854680708 1.075233146278964 8937.400016726533067 1.067063596201788 8940.379646642841180 1.058261279459354 8943.360269934673852 1.053215343580666 8946.341886933205387 1.051589537839526 8949.324497969741060 1.046797637740495 8952.308103375675273 1.038734484652259 8955.292703482517027 1.033770769797343 8958.278298621884460 1.030527415510432 8961.264889125523041 1.019855991172474 8964.252475325271007 1.009633488206675 8967.241057553081191 1.003651159840704 8970.230636141008290 0.999457233610473 8973.221211421247062 0.991045502480313 8976.212783726074122 0.975545518495644 8979.205353387886134 0.959785397827031 8982.198920739183450 0.952124195648750 8985.193486112599203 0.954204360711338 8988.189049840857479 0.957735477498766 8991.185612256796958 0.957202788650366 8994.183173693360004 0.953531599770825 8997.181734483627224 0.950406928095521 9000.181294960762898 0.949149953640345 9003.181855458051359 0.951683180560971 9006.183416308880624 0.960874039562775 9009.185977846773312 0.971225017717354 9012.189540405341177 0.973085822874982 9015.194104318310565 0.970585169324517 9018.199669919522421 0.973647960860965 9021.206237542921372 0.985153620695045 9024.213807522586649 0.998891507437995 9027.222380192682976 1.009947304011560 9030.231955887498771 1.020354766251119 9033.242534941420672 1.032687178395421 9036.254117688977203 1.045016881617257 9039.266704464776922 1.057209347092725 9042.280295603553895 1.068462662135968 9045.294891440140418 1.075916244797078 9048.310492309512483 1.077710608365329 9051.327098546726120 1.072926955944253 9054.344710486959229 1.063154182860752 9057.363328465495215 1.049970634639867 9060.382952817752084 1.036606019321879 9063.403583879235157 1.025593728184507 9066.425221985569806 1.012117015760607 9069.447867472485086 1.000145846549365 9072.471520675848296 0.990094554653307 9075.496181931612227 0.980881151859892 9078.521851575849723 0.975016595655441 9081.548529944739130 0.971757722841717 9084.576217374593398 0.970263424876745 9087.604914201814609 0.972534041006651 9090.634620762924897 0.975498730114014 9093.665337394548260 0.975821147673363 9096.697064433450578 0.980434228272365 9099.729802216479584 0.986596184511122 9102.763551080608522 0.992346034284992 9105.798311362917957 0.994585670017994 9108.834083400595773 0.996725418375261 9111.870867530968098 1.000667706796454 9114.908664091446553 1.001944294790003 9117.947473419562812 0.996508395166969 9120.987295852955867 0.987067674372257 9124.028131729399320 0.978599378174010 9127.069981386755899 0.971225933781467 9130.112845163008387 0.966718446610164 9133.156723396243251 0.965921672718838 9136.201616424688837 0.967790380446561 9139.247524586657164 0.961232839444514 9142.294448220582126 0.946777365382964 9145.342387664999478 0.938505471841743 9148.391343258592315 0.942560988138449 9151.441315340120127 0.953180511715590 9154.492304248471555 0.962962006168187 9157.544310322633464 0.967340710387593 9160.597333901736420 0.960853721166567 9163.651375324998298 0.948780123349444 9166.706434931757030 0.941970508939033 9169.762513061450591 0.946435656791503 9172.819610053666111 0.955201912079040 9175.877726248068939 0.962193722504961 9178.936861984451753 0.966710627669003 9181.997017602707274 0.967014685442678 9185.058193442873744 0.968358872064911 9188.120389845069440 0.973114518526649 9191.183607149541785 0.984412203013650 9194.247845696636432 0.997639736348407 9197.313105826844549 1.009780531824334 9200.379387880739159 1.016105358165969 9203.446692199020617 1.022822046386211 9206.515019122500235 1.029025602963282 9209.584368992091186 1.035996975354950 9212.654742148853984 1.044796869113684 9215.726138933930997 1.051432977293204 9218.798559688590103 1.055664588574462 9221.872004754197405 1.059912433253235 9224.946474472271802 1.062558371592954 9228.021969184406771 1.063700124795822 9231.098489232324937 1.067290984389241 9234.176034957852607 1.069477010986986 9237.254606702959791 1.070038295187176 9240.334204809700168 1.070856616052443 9243.414829620249293 1.073251578373646 9246.496481476891859 1.077123540892190 9249.579160722050801 1.081105458897602 9252.662867698236369 1.085211342814655 9255.747602748084319 1.092953835964276 9258.833366214332273 1.100685398113412 9261.920158439861552 1.105417562663545 9265.007979767640791 1.107443181224652 9268.096830540760493 1.105607887473735 9271.186711102418485 1.100333316432823 9274.277621795950836 1.094148823975733 9277.369562964784564 1.088405404902767 9280.462534952466740 1.080766179988793 9283.556538102653576 1.067789653579399 9286.651572759143164 1.048450866438757 9289.747639265815451 1.030521248107413 9292.844737966679531 1.018331572098875 9295.942869205857278 1.008771050708634 9299.042033327576064 1.001020013206221 9302.142230676206964 0.990972479677955 9305.243461596206544 0.970380854720059 9308.345726432155061 0.946988193354531 9311.449025528740094 0.924821182097555 9314.553359230792921 0.913168863093512 9317.658727883226675 0.909606651972894 9320.765131831085455 0.910734321983353 9323.872571419513406 0.912606013009097 9326.981046993802011 0.913806939892088 9330.090558899328244 0.914798857194732 9333.201107481592771 0.917832135071520 9336.312693086203581 0.936685379376393 9339.425316058908720 0.968856768248205 9342.538976745549007 0.999266772675617 9345.653675492083494 1.019346803600638 9348.769412644584008 1.037293297518779 9351.886188549258804 1.046509677265974 9355.004003552408903 1.045148823140855 9358.122858000459019 1.036336655721694 9361.242752239937545 1.029416681139487 9364.363686617518397 1.027145015454607 9367.485661479962801 1.007510681062540 9370.608677174157492 0.977344007480666 9373.732734047094709 0.957765625779599 9376.857832445908571 0.948037733662139 9379.983972717825964 0.948292508096139 9383.111155210193829 0.963342050870355 9386.239380270468246 0.987790680850860 9389.368648246248995 1.008885929103918 9392.498959485223168 1.028351246135881 9395.630314335201547 1.045071568794480 9398.762713144113150 1.065000856063425 9401.896156259992495 1.085215082914445 9405.030644031019619 1.102892084867696 9408.166176805463692 1.108962360393559 9411.302754931712116 1.098089021136373 9414.440378758268707 1.071506422452035 9417.579048633773709 1.040119144511255 9420.718764906961951 1.021308931698563 9423.859527926688315 1.012090017381844 9427.001338041918643 0.999100637864363 9430.144195601760657 0.974967697044817 9433.288100955413029 0.950790401460941 9436.433054452196302 0.938829311775173 9439.579056441541979 0.933989129794844 9442.726107273023445 0.929482830587381 9445.874207296305030 0.932388976660361 9449.023356861174761 0.935203870193161 9452.173556317527982 0.932094725694637 9455.324806015409195 0.927666708623658 9458.477106304942936 0.937381170847801 9461.630457536388349 0.949185251005040 9464.784860060106439 0.948615597094484 9467.940314226605551 0.929977774059896 9471.096820386483159 0.910062698728139 9474.254378890462249 0.905011813203778 9477.412990089371306 0.914256355860433 9480.572654334187973 0.916621278378003 9483.733371975975388 0.900475366683382 9486.895143365925833 0.872967845416557 9490.057968855337094 0.849093225338896 9493.221848795652477 0.840865053291052 9496.386783538406235 0.851154946695023 9499.552773435256313 0.873720174030646 9502.719818837978892 0.891412101227092 9505.887920098461109 0.888399096131034 9509.057077568730165 0.872480371177851 9512.227291600906028 0.862879626850716 9515.398562547237816 0.870743566822369 9518.570890760074690 0.890899415645075 9521.744276591918606 0.907359431503453 9524.918720395358832 0.911528720474617 9528.094222523111966 0.902228054313121 9531.270783328000107 0.887360229619273 9534.448403162994509 0.880354539333966 9537.627082381155560 0.889543847988066 9540.806821335669156 0.909281106791981 9543.987620379828513 0.922518358477416 9547.169479867077825 0.928481049283310 9550.352400150944959 0.930923061781555 9553.536381585088748 0.926711269927092 9556.721424523275346 0.917482640959043 9559.907529319416426 0.918860692350111 9563.094696327516431 0.931783258566270 9566.282925901701674 0.944012415479733 9569.472218396214885 0.947510735365972 9572.662574165437036 0.950031595330087 9575.853993563843687 0.954310735792234 9579.046476946037728 0.947216397856317 9582.240024666729369 0.935604279126486 9585.434637080776156 0.937257168966087 9588.630314543126588 0.940833749438608 9591.827057408854671 0.940660300515942 9595.024866033154467 0.931398714300784 9598.223740771329176 0.921668059284201 9601.423681978827517 0.916380927097851 9604.624690011189159 0.909823786798862