SN 2005gj Ia/IIn in ???


Geoffrey Chaucer with an astrolabe.


OBJ:   SN 2005gj Ia/IIn in ???.  In Leda it is
          ???.
DISCOVERY: 2005sep26 UT (JD 2453639.5) by {barentine2005;Frieman2005}
MAX:  2005oct26 (JD 2453670) in V according to {aldering2006}.
           See the US Navy Observatory Julian
           Date Converter.
           This day of the year 299.
SUPERNOVA of the YEAR:  192.

REAMDE & SPECTROSCOPY LOG from someone:


Notes:

* Naming convention: a spectrum is in the "observer frame" if the
wavelength is directly from the arc-lamps calibration and has not been
corrected by redshift. Spectra in the "rest-frame" have been corrected
by the redshift of the host galaxy of SN2005gj: z=0.0616 (Aldering et
al. 2006).


* All the spectra were corrected to have the g-r color and r magnitude
consistent within 1% with the photometry at a given epoch, thefore the
absolute flux calibration in the region ~4000-7000 Angstroms (observer
frame) should be pretty good. Outside this region the absolute/relative
calibration is probably uncertain to 5% or more.


* The spectra have been de-reddened by the Galactic reddening in the
line of sight: E(B-V)=0.121 mag (Schlegel, Finkbeiner & Davis 1998). No
host galaxy reddening correction has been applied. We think that the
host galaxy reddening is very small because the Na D doublet is not
detected at the redshift of the host in any of the higher resolution
spectra.  Aldering et al. (2006) arrive to the same conclusion.


* Spectra obtained with DIS, ISIS, ModSpec, EMMI, WFCCD, CCDS and LDSS-3
have been corrected to minimize contamination from telluric features,
whereas the spectra from CCDS have not been corrected. The main telluric
features are at 6470, 6495, 6770, 7160 Angstroms in the rest-frame. Even
some of the spectra that have been corrected by telluric lines have some
residuals, therefore it might be good to avoid the regions around the
telluric features for modeling.

* The spectrum obtained with LDSS-3 (sn05gj_25.txt) is a composite of
four different spectra obtained with different gratings (instrument
setup). The composite has been put together by eye, adjusting the
overall flux calibration between one spectrum and the next to come to
relatively good agreement, however, this is far from perfect. Also the
spectrum has some obvious cosmic ray hits that have not been corrected for.


# Spectra of SN2005gj
#
# Columns:
# (1) File name
# (2) Julian Date - 2,453,000 in days
# (3) Epoch: rest-frame days since the time of explosion (JD 2,453,637.92) 2005sep24.42
# (4) Instrument. The telescopes (instruments) used are: MDM-2.4m (CCDS),
#     APO-3.5m (DIS), WHT-4.2m (ISIS), LCO-2.5m (ModSpec and WFCCD),
#     NTT-3.6m (EMMI), LCO-6.5m (LDSS-3)
# (5) Range in Angstroms
# (6) Resolution in Angstroms: average resolution obtained from the
#     FWHM of arc-lamp lines
# (7) Total exposure time in seconds
#
#
#######################################################################
#   (1)           (2)     (3)     (4)            (5)       (6)    (7)
#######################################################################
sn05gj_1.txt    644.92    6.6     CCDS      3850 - 7308     15   1200      2005oct01.42  zcorr
sn05gj_2.txt    646.95    8.5     DIS       3824 - 10192     7   1800      2005oct03.45  zcorr
sn05gj_3.txt    650.84    12.2    DIS       3600 - 9597      7   1000      2005oct07.34  zcorr
sn05gj_4.txt    655.87    16.9    CCDS      3823 - 7283     15   1800      2005oct12.37  zcorr
sn05gj_5.txt    665.92    26.4    CCDS      3883 - 7341     15   2700      2005oct22.42  zcorr
sn05gj_6.txt    668.83    29.1    CCDS      3886 - 7346     15   2700      2005oct25.33  zcorr
sn05gj_7.txt    676.79    36.6    CCDS      3882 - 7338     15   3600      2005nov02.29  zcorr
sn05gj_8.txt    684.73    44.1    ISIS      3924 - 8901      4   1800      2005nov10.23  zcorr
sn05gj_9.txt    686.79    46.0    CCDS      3858 - 7315     15   2700
sn05gj_10.txt   698.67    57.2    ModSpec   3780 - 7290      7   2700      2005nov24.17  nozcorr
sn05gj_11.txt   699.67    58.2    ModSpec   3780 - 7290      7   2700
sn05gj_12.txt   700.76    59.2    CCDS      3933 - 7391     15   2700
sn05gj_13.txt   702.73    61.1    CCDS      3856 - 7310     15   2700
sn05gj_14.txt   712.73    70.5    CCDS      3831 - 7286     15   2700      2005dec08.23  zcorr
sn05gj_15.txt   722.71    79.9    EMMI      4000 - 10200     9   2700
sn05gj_16.txt   724.66    81.7    WFCCD     3800 - 9235      6   2700
sn05gj_17.txt   725.65    82.6    WFCCD     3800 - 9235      6   2700      2005dec21.15
sn05gj_18.txt   726.66    83.6    WFCCD     3800 - 9235      6   3600
sn05gj_19.txt   727.67    84.5    WFCCD     3800 - 9235      6   3600
sn05gj_20.txt   728.67    85.5    WFCCD     3800 - 9235      6   3600
sn05gj_21.txt   729.67    86.4    CCDS      3915 - 7373     15   2700
sn05gj_22.txt   737.70    94.0    CCDS      3909 - 7368     15   2700      2006jan02.20
sn05gj_23.txt   751.60    107.1   EMMI      3200 - 10200     9   2700      2006jan16.10
sn05gj_24.txt   755.62    110.9   CCDS      3844 - 7299     15   3600
sn05gj_25.txt   759.61    114.6   LDSS-3    3788 - 9980      3   3600
sn05gj_26.txt   799.52    152.2   WFCCD     3800 - 9235      6   1200      2006mar05.02
#######################################################################


REF:

       citet{barentine2005} Discovery.

       citet{conley2006} General value
         of 19.4 days for Ia rise time in B for SNe Ia, but it's not much use for SN 2005gj.

       SUSPECT Index.

       SUSPECT
       Index:  SN 2005gj Ia.  A dead link so for.


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

COR:  deredshifted ??? (heliocentric velocity 18467 km/s and
          ???(Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .121
          ???(Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????

COMMENT:

OBS:

Date: 2005oct (JD ) with 2005oct13.92 (JD 2453657.42) for estimated B maximum gives:
      day =  -  =

But we want relative epoch in rest frame days.  So use the table.

      70.5 - 19.5 = 51.0


&specnamelist aname='sn2005gj Ia 2005_12_08' ebv=.121 ! This is foreground. epoch=51.0 ! This parameter needs to updated for the particular spectrum using rest-frame days. iformat=-1 ! This has to be checked for every spectrum. itick=4 itickln=4 ! scale_flux=1.d-14 t_rise=19.4d0 ! From {conley2006} v_helio=18467. ymin2=2.5e-16 ymax2=8.e-16 ymin3=.75 ymax3=2.1 wlammin1=3608.6323 wlammax1=6863.3836 wlammin2=3608.6323 wlammax2=6863.3836 wlammin3=3800. wlammax3=6863.3836 ! Maybe OK. /
./figure/sn2005gj_2005_12_08.gif Postscript plot of the spectrum.
./figure/sn2005gj_2005_12_08.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. FITS: Fits format information from the observers if there is any. END: 3609.531748414111917 0.933860398615243 3610.735126215408854 0.939058432671089 3611.938905209501172 0.939428753330919 3613.143085530141889 0.930826664152355 3614.347667311129953 0.922221707132779 3615.552650686302513 0.931439808912449 3616.758035789554924 0.941515980978372 3617.963822754815283 0.940688205380265 3619.170011716059889 0.931301169351046 3620.376602807305062 0.920981277219281 3621.583596162625327 0.906040980491636 3622.790991916126586 0.891095702834973 3623.998790201963857 0.857197697488155 3625.206991154333082 0.817870130541893 3626.415594907487048 0.770730594459336 3627.624601595710374 0.711349244774568 3628.834011353338155 0.652053005695918 3630.043824314744597 0.625080844853408 3631.254040614361202 0.598099691791914 3632.464660386653122 0.585788183299262 3633.675683766132806 0.582510835122855 3634.887110887355448 0.587190669688048 3636.098941884930809 0.617559839439670 3637.311176893503671 0.647939133935244 3638.523816047766559 0.685783393521177 3639.736859482453838 0.724902358602307 3640.950307332354896 0.751618228450332 3642.164159732293683 0.764702125249720 3643.378416817143261 0.778839437772191 3644.593078721816710 0.802452858031003 3645.808145581283952 0.826074150741971 3647.023617530549473 0.870914773904932 3648.239494704664594 0.923828708009369 3649.455777238723840 0.974716156501571 3650.672465267876760 1.021851454500107 3651.889558927307462 1.069002466883565 3653.107058352248714 1.080278239162988 3654.324963677977394 1.090846812222200 3655.543275039813579 1.086298657069040 3656.761992573132375 1.072132154977266 3657.981116413342988 1.051328966591262 3659.200646695903288 1.009876685043394 3660.420583556313431 0.968410583765303 3661.640927130129512 0.928894908824423 3662.861677552940819 0.889639995627035 3664.082834960387117 0.865896744084728 3665.304399488148192 0.856831436301972 3666.526371271961125 0.852514641640838 3667.748750447597104 0.874674875083549 3668.971537150875520 0.896842496501997 3670.194731517658511 0.927185379136892 3671.418333683863239 0.959681405481648 3672.642343785441881 0.991341833194138 3673.866761958396637 1.021909028490387 3675.091588338768815 1.052198759951966 3676.316823062658386 1.079052357706307 3677.542466266198971 1.105914908151936 3678.768518085572850 1.106439670335011 3679.994978657004140 1.096858181619160 3681.221848116774254 1.081796082397691 3682.449126601197804 1.057409430414119 3683.676814246639424 1.033260425517051 3684.904911189504674 1.021479207636435 3686.133417566256412 1.009694062028572 3687.362333513391604 1.007861853551565 3688.591659167456783 1.010919289382102 3689.821394665043499 1.018544269366540 3691.051540142784688 1.035718229542942 3692.282095737371947 1.052897915327013 3693.513061585528703 1.077454296608911 3694.744437824029774 1.102188632715930 3695.976224589689991 1.128655494112367 3697.208422019383306 1.156126316871440 3698.441030250016411 1.176900034280669 3699.674049418545110 1.181460008342158 3700.907479661968409 1.186021502648348 3702.141321117341249 1.171601671525379 3703.375573921754039 1.156238326315428 3704.610238212344939 1.139813668654410 3705.845314126296216 1.122722166855320 3707.080801800845165 1.106874404454476 3708.316701373265005 1.094251258578848 3709.553012980877611 1.081623904286566 3710.789736761047152 1.067672172110138 3712.026872851195094 1.053637410883700 3713.264421388777009 1.043550566942114 3714.502382511298947 1.035971001916701 3715.740756356307429 1.032504294126507 3716.979543061407639 1.039571176245823 3718.218742764238868 1.046640414385160 3719.458355602489519 1.052404732638818 3720.698381713891195 1.058105205372290 3721.938821236231433 1.063266938991307 3723.179674307333698 1.068106176654554 3724.420941065070110 1.073454371214025 3725.662621647355536 1.079988722103378 3726.904716192162141 1.086525251472773 3728.147224837496651 1.082873231481668 3729.390147721415815 1.078975657426979 3730.633484982021400 1.066275182513661 3731.877236757458832 1.048918082932319 3733.121403185930376 1.033986611355465 3734.365984405672407 1.023890394734681 3735.610980554972684 1.014049155422265 3736.856391772159441 1.019655917365152 3738.102218195619571 1.025264548540225 3739.348459963774076 1.036130880502248 3740.595117215095343 1.049253304064983 3741.842190088095776 1.065605068984980 3743.089678721347354 1.087100468155475 3744.337583253456160 1.109105341588769 3745.585903823078297 1.137499341617986 3746.834640568911254 1.165902807891395 3748.083793629712545 1.178826428716000 3749.333363144272425 1.186898605348052 3750.583349251432082 1.183576974354067 3751.833752090074995 1.166452954400633 3753.084571799142395 1.148786305445365 3754.335808517610531 1.127946794384985 3755.587462384505670 1.107100335663039 3756.839533538896831 1.085777447925856 3758.092022119910325 1.064357674533348 3759.344928266707939 1.047121393422275 3760.598252118501932 1.033512126254560 3761.851993814545494 1.022591605682616 3763.106153494152295 1.020501860682863 3764.360731296668291 1.018411418985335 3765.615727361492191 1.015999816204607 3766.871141828063173 1.013564276074940 3768.126974835879992 1.003855216585304 3769.383226524475504 0.989948507223133 3770.639897033433954 0.973518708754840 3771.896986502384152 0.952141158858803 3773.154495070999928 0.931528192932699 3774.412422879011956 0.928249185357665 3775.670770066185469 0.924969084597919 3776.929536772337542 0.930878836802661 3778.188723137327088 0.939864823146117 3779.448329301071681 0.952764857659589 3780.708355403523001 0.970298659771693 3781.968801584684570 0.991636161437651 3783.229667984601747 1.031758510475072 3784.490954743379007 1.071894235858240 3785.752662001154931 1.103224011275390 3787.014789898119034 1.133354505070181 3788.277338574504938 1.151042139894662 3789.540308170602202 1.160192821849235 3790.803698826738128 1.167804331322622 3792.067510683288674 1.171964740864295 3793.331743880673912 1.175732510983509 3794.596398559371664 1.164723693700804 3795.861474859895679 1.153711206200666 3797.126972922809273 1.133028921684599 3798.392892888720326 1.109029780785339 3799.659234898293562 1.076710675979999 3800.925999092230086 1.034847294926490 3802.193185611281933 1.000568878210516 3803.460794596243431 0.999203636191301 3804.728826187967115 0.997837939015554 3805.997280527342355 0.991335416650277 3807.266157755308086 0.984333242328161 3808.535458012850995 0.973179773366963 3809.805181441000514 0.959664027409853 3811.075328180844281 0.943247173445625 3812.345898373506316 0.921791136701217 3813.616892160161115 0.900536303649599 3814.888309682026375 0.881268168210130 3816.160151080378000 0.861993608988223 3817.432416496528276 0.851951386649895 3818.705106071839509 0.843855571088026 3819.978219947718571 0.841211541365038 3821.251758265629633 0.842891093356017 3822.525721167073243 0.844777382177015 3823.800108793601339 0.847163570726853 3825.074921286807694 0.849420611269408 3826.350158788347017 0.847258610374598 3827.625821439907668 0.845095888692700 3828.901909383230304 0.842896375376947 3830.178422760098329 0.840685126657222 3831.455361712354261 0.841672638997819 3832.732726381877001 0.845785822213224 3834.010516910595015 0.852025412319027 3835.288733440482247 0.864736624267442 3836.567376113569480 0.877452073992799 3837.846445071924791 0.891093228585611 3839.125940457666729 0.904748634045386 3840.405862412957504 0.915079933833731 3841.686211080018893 0.924209906544899 3842.966986601107692 0.932038627490353 3844.248189118532537 0.938460977993727 3845.529818774644809 0.943408820581469 3846.811875711855919 0.943383419207707 3848.094360072612744 0.943358009365409 3849.377271999413551 0.942823917917821 3850.660611634803900 0.942278568421815 3851.944379121373458 0.939728924593388 3853.228574601771015 0.936437607010964 3854.513198218680827 0.927711060697245 3855.798250114838538 0.913172522494861 3857.083730433024357 0.901300008728330 3858.369639316077155 0.898000235347225 3859.655976906871274 0.894699361858320 3860.942743348333806 0.901180857756031 3862.229938783434136 0.907722838832588 3863.517563355202583 0.914503710381108 3864.805617206704028 0.921364812207676 3866.094100481055648 0.934655102798601 3867.383013321418730 0.954073757387408 3868.672355871013679 0.969369701658737 3869.962128273095914 0.973712428752651 3871.252330670974516 0.977557170946558 3872.542963208001311 0.968369831017619 3873.834026027587242 0.959179428131545 3875.125519273180089 0.958580126926548 3876.417443088279015 0.960115085934531 3877.709797616427295 0.956192080311070 3879.002583001227322 0.948108840771341 3880.295799386318777 0.940461061506505 3881.589446915391818 0.933676963245119 3882.883525732181170 0.927718735381045 3884.178035980481582 0.928759361082280 3885.472977804122820 0.929800333716567 3886.768351346988311 0.928858704216446 3888.064156753007865 0.927639371261136 3889.360394166155857 0.936450560529372 3890.657063730466689 0.950654213742372 3891.954165590010689 0.967679571421756 3893.251699888910480 0.988529121039547 3894.549666771332795 1.007613354832943 3895.848066381503486 1.019662548153724 3897.146898863686147 1.031715758541758 3898.446164362194395 1.039683372218598 3899.745863021387777 1.047565505876376 3901.045994985684956 1.047107115371298 3902.346560399540977 1.043995144097092 3903.647559407463632 1.040005134086802 3904.948992154003918 1.035266978113036 3906.250858783773310 1.033427400953295 3907.553159441420121 1.037662435546504 3908.855894271644502 1.041582135850307 3910.159063419190261 1.042863040459559 3911.462667028862143 1.044144372108187 3912.766705245500816 1.051004189016277 3914.071178214000156 1.058531134201204 3915.376086079296783 1.064326022623460 3916.681428986388710 1.069312182321630 3917.987207080310327 1.069146272954233 3919.293420506147868 1.063193307173947 3920.600069409032130 1.057180290974463 3921.907153934154394 1.051001932711382 3923.214674226741863 1.044496509989655 3924.522630432075402 1.032424229999028 3925.831022695479078 1.020347925244351 3927.139851162337436 1.015293226456667 3928.449115978072314 1.011480441608643 3929.758817288157388 1.019069454553563 3931.068955238115450 1.032937942856869 3932.379529973512490 1.050659390315067 3933.690541639976800 1.073230824117311 3935.001990383171687 1.095367136239289 3936.313876348814574 1.116125160346853 3937.626199682665629 1.136443927181839 3938.938960530546865 1.146848927439555 3940.252159038316677 1.157257396608810 3941.565795351886209 1.162970811252465 3942.879869617210261 1.167827852890889 3944.194381980306389 1.170205282758602 3945.509332587226254 1.171245889996616 3946.824721584076542 1.170568491848866 3948.140549117006685 1.167830164663678 3949.456815332227961 1.163541202346723 3950.773520375988937 1.154888454422937 3952.090664394589112 1.146099127612631 3953.408247534374368 1.135561930614994 3954.726269941750616 1.125021220632862 3956.044731763161053 1.115279401918213 3957.363633145101630 1.105641997684439 3958.682974234111953 1.085442801202090 3960.002755176794835 1.060579000661702 3961.322976119787654 1.036633838682000 3962.643637209781900 1.013579804938751 3963.964738593513630 0.994960022528954 3965.286280417779835 0.985675663387243 3966.608262829414798 0.977518122249652 3967.930685975305096 0.976345579403527 3969.253550002383236 0.975172645644642 3970.576855057641296 1.000006787252112 3971.900601288109556 1.025993458051193 3973.224788840871042 1.061638532751745 3974.549417863057442 1.100050284143186 3975.874488501846372 1.135208873823196 3977.200000904475019 1.168198036929914 3978.525955218219224 1.196259687300083 3979.852351590406670 1.217591502966872 3981.179190168411424 1.234833474332352 3982.506471099667124 1.239590209068934 3983.834194531646517 1.243511285011462 3985.162360611873282 1.236877111695045 3986.490969487918392 1.230240726618934 3987.820021307412389 1.214982598985079 3989.149516218024473 1.198773935224577 3990.479454367475228 1.183711167240852 3991.809835903532530 1.169067557882443 3993.140660974023831 1.155378310815636 3994.471929726815233 1.142432488427394 3995.803642309824681 1.129148440997693 3997.135798871016959 1.115347584958921 3998.468399558417332 1.101771480969815 3999.801444520088353 1.088963513850548 4001.134933904146237 1.076711608720503 4002.468867858752674 1.072643920839677 4003.803246532129833 1.068574876836872 4005.138070072538994 1.073218068585330 4006.473338628293277 1.078814979087777 4007.809052347751731 1.085338277853748 4009.145211379335251 1.092187903139472 4010.481815871502022 1.099919557508567 4011.818865972763888 1.108288547591611 4013.156361831681352 1.112542219808477 4014.494303596861300 1.111179805173148 4015.832691416972011 1.108126509224761 4017.171525440719506 1.100421757756731 4018.510805816862558 1.093879009054422 4019.850532694206322 1.096653976063371 4021.190706221617802 1.099429868215514 4022.531326548000379 1.093607947478927 4023.872393822312461 1.087404967970272 4025.213908193557472 1.075214876248798 4026.555869810800232 1.061581371917294 4027.898278823143755 1.052786057241809 4029.241135379744719 1.046528487817902 4030.584439629805274 1.039732390532708 4031.928191722589418 1.032412821943907 4033.272391807399345 1.024585901363806 4034.617040033590001 1.015859261952880 4035.962136550562718 1.008787128121928 4037.307681507781581 1.007807947641928 4038.653675054746600 1.007057050521583 4040.000117341013265 1.009352659789007 4041.347008516181631 1.011649034387060 4042.694348729914964 1.006645256608042 4044.042138131913362 1.001067609503274 4045.390376871931494 1.001740668426588 4046.739065099769050 1.004113409855925 4048.088202965288929 1.005903412560989 4049.437790618390864 1.007375442696003 4050.787828209029612 1.008752352968673 4052.138315887204499 1.010037450849669 4053.489253802978510 1.014261496266167 4054.840642106451469 1.023438261557515 4056.192480947778222 1.030058665496769 4057.544770477161819 1.028435169738814 4058.897510844853969 1.026797738240603 4060.250702201166405 1.025043795778977 4061.604344696449971 1.023289268572412 4062.958438481109170 1.023185837245518 4064.312983705594888 1.023130406675191 4065.667980520420770 1.023325420866522 4067.023429076137290 1.023567730577468 4068.379329523350407 1.026498217242802 4069.735682012711095 1.030514125236207 4071.092486694933541 1.029285767349251 4072.449743720770130 1.024338539153669 4073.807453241026906 1.018091744623897 4075.165615406555844 1.010311045276466 4076.524230368273038 1.001775156789105 4077.883298277130962 0.991737981903106 4079.242819284137113 0.982456328809615 4080.602793540345829 0.976004426055843 4081.963221196873292 0.970716531564585 4083.324102404873884 0.977223801850616 4084.685437315556555 0.983733241588297 4086.047226080177097 0.988834314727548 4087.409468850052690 0.993893659395093 4088.772165776540987 1.000306773309989 4090.135317011051484 1.006957180248837 4091.498922705041423 1.011196842483686 4092.862983010031712 1.014564606827342 4094.227498077579185 1.016228987174465 4095.592468059297971 1.016844639834136 4096.957893106846313 1.019115893843416 4098.323773371947027 1.023009381995709 4099.690109006359307 1.022728996125769 4101.056900161899648 1.015994506076929 4102.424146990432746 1.008046092054262 4103.791849643871501 0.997009874491303 4105.160008274190659 0.985807893329359 4106.528623033404074 0.973825183228969 4107.897694073580169 0.961598356043104 4109.267221546832843 0.945857641685082 4110.637205605340569 0.930111679547646 4112.007646401320017 0.922081785354182 4113.378544087042428 0.914391132048413 4114.749898814825428 0.919122621750967 4116.121710737049398 0.926002158984364 4117.493980006134734 0.933303367172770 4118.866706774555496 0.940747350086030 4120.239891194832126 0.949965469953831 4121.613533419550549 0.960152233034303 4122.987633601332163 0.970503133949257 4124.362191892854753 0.980990726841603 4125.737208446842487 0.986252005633457 4127.112683416085019 0.985063346174302 4128.488616953407472 0.983524644990895 4129.865009211691358 0.981334501812262 4131.241860343865483 0.977512975998188 4132.619170502922316 0.968883511795858 4133.996939841889798 0.959903545362519 4135.375168513855897 0.949078020644963 4136.753856671951326 0.938490478034085 4138.133004469372281 0.931341154770823 4139.512612059354069 0.924189448002576 4140.892679595185655 0.920407926470622 4142.273207230208754 0.916715733145597 4143.654195117809650 0.916315491147640 4145.035643411441015 0.916349223690003 4146.417552264592814 0.918562187198395 4147.799921830809581 0.921341174662149 4149.182752263684961 0.927484431310206 4150.566043716874447 0.935025565124387 4151.949796344072638 0.937428357236463 4153.334010299031434 0.936691346285699 4154.718685735546387 0.937919900175299 4156.103822807478537 0.940848215386136 4157.489421668729847 0.945844937332481 4158.875482473254124 0.953336627717584 4160.262005375053377 0.957668385334354 4161.648990528196009 0.956658092970683 4163.036438086785893 0.955913019413544 4164.424348204985108 0.955814714468516 4165.812721037000301 0.955348132050934 4167.201556737103601 0.953515043464756 4168.590855459607155 0.951348292429394 4169.980617358876771 0.947047428935584 4171.370842589325548 0.943051299646872 4172.761531305432072 0.943937366046518 4174.152683661713127 0.944823727850863 4175.544299812741883 0.952200166906092 4176.936379913136079 0.959680534836151 4178.328924117581664 0.961989812076395 4179.721932580800967 0.963798805806120 4181.115405457572706 0.959320413971038 4182.509342902722892 0.953637861525482 4183.903745071141202 0.950578547045076 4185.298612117758239 0.948304971256910 4186.693944197559176 0.948400816499292 4188.089741465580119 0.949508972456684 4189.486004076905374 0.950103482282307 4190.882732186684734 0.950400874262244 4192.279925950104371 0.952436831663594 4193.677585522409572 0.955796817433299 4195.075711058891102 0.958794262988350 4196.474302714904297 0.961433937420296 4197.873360645844514 0.961002036071077 4199.272885007162586 0.956665941482845 4200.672875954356641 0.955124280330930 4202.073333642990292 0.958178964907472 4203.474258228665349 0.962212547080819 4204.875649867039101 0.968343562534342 4206.277508713819770 0.973109401558353 4207.679834924775605 0.973974458605330 4209.082628655718509 0.974606516308010 4210.485890062512226 0.974317952034569 4211.889619301072344 0.973024898464009 4213.293816527376293 0.965867006759354 4214.698481897441525 0.958641814845999 4216.103615567342786 0.950771975716706 4217.509217693202118 0.943044707870262 4218.915288431204317 0.938984329705249 4220.321827937576927 0.934922597855245 4221.728836368601151 0.931120456041000 4223.136313880607304 0.927320652611779 4224.544260629990276 0.922961782641915 4225.952676773184066 0.918563362002001 4227.361562466679970 0.915501169731152 4228.770917867020216 0.912607849689029 4230.180743130796145 0.909088234634621 4231.591038414662762 0.905448163780946 4233.001803875316000 0.900667022408675 4234.413039669508180 0.895588016285594 4235.824745954037098 0.897176540240445 4237.236922885768763 0.901008215841110 4238.649570621608291 0.903752496046090 4240.062689318514458 0.906042389158833 4241.476279133497883 0.902165723977649 4242.890340223631938 0.895155561681486 4244.304872746030014 0.892134630477775 4245.719876857863710 0.891530985179574 4247.135352716350098 0.893282605006348 4248.551300478772646 0.896715604139046 4249.967720302455746 0.901195016184980 4251.384612344778361 0.906545465202844 4252.801976763169478 0.916796616580861 4254.219813715121745 0.931779260765269 4255.638123358169651 0.944121938695696 4257.056905849901341 0.953532167036981 4258.476161347956804 0.958147650513186 4259.895890010038784 0.956664775133254 4261.316091993890041 0.953616323305899 4262.736767457312453 0.948294198302904 4264.157916558152465 0.942635208173322 4265.579539454325641 0.936420474521639 4267.001636303785745 0.931337398158186 4268.424207264542929 0.928381096966399 4269.847252494656459 0.927194078211074 4271.270772152251084 0.929778525211112 4272.694766395491570 0.933358590327729 4274.119235382599982 0.939351285494864 4275.544179271849316 0.943707711449249 4276.969598221563501 0.943560376930941 4278.395492390130130 0.942322796624323 4279.821861935978632 0.937683574396090 4281.248707017593915 0.932762175172350 4282.676027793509093 0.926845064206850 4284.103824422326397 0.920947075447834 4285.532097062683533 0.915132098306017 4286.960845873278231 0.911743350762981 4288.390071012855515 0.919494212592288 4289.819772640227711 0.928561448917209 4291.249950914245346 0.944541460263398 4292.680605993817153 0.959867293725795 4294.111738037900977 0.971233701041251 4295.543347205521059 0.982109588015643 4296.975433655738925 0.989584345347204 4298.407997547676132 0.995918585500897 4299.841039040501528 0.993224386485757 4301.274558293451264 0.989722974940103 4302.708555465801510 0.978899140605412 4304.143030716883914 0.968375517586572 4305.577984206081055 0.961017458514674 4307.013416092840998 0.954202772593472 4308.449326536651824 0.953983312873273 4309.885715697058913 0.953981968250111 4311.322583733655847 0.957003901550757 4312.759930806104421 0.959923027827415 4314.197757074106448 0.961203827826204 4315.636062697418311 0.962526887503018 4317.074847835848232 0.964593646156420 4318.514112649269919 0.966499417642284 4319.953857297598006 0.965214095982019 4321.394081940803517 0.964095825631710 4322.834786738911134 0.966574966331607 4324.275971851995564 0.969405261326623 4325.717637440196995 0.980196736752473 4327.159783663694725 0.990733694640448 4328.602410682729897 0.995143542258256 4330.045518657587309 0.999451106771159 4331.489107748622700 1.001317473147393 4332.933178116230920 1.002952683811081 4334.377729920862294 0.999347500654999 4335.822763323019899 0.995523582519215 4337.268278483270478 0.987119909283097 4338.714275562223520 0.978938943476207 4340.160754720545810 0.975067985107450 4341.607716118950520 0.971089676710145 4343.055159918222671 0.965297583942956 4344.503086279182753 0.959628839314879 4345.951495362713104 0.955867450985005 4347.400387329743353 0.952220565985095 4348.849762341269525 0.950114740343689 4350.299620558328570 0.947798699843581 4351.749962142017466 0.943054222380782 4353.200787253479575 0.938204981427642 4354.652096053927380 0.932311485567015 4356.103888704612473 0.925958944253046 4357.556165366844652 0.915591093688479 4359.008926201984650 0.905486011509397 4360.462171371458680 0.897409700945932 4361.915901036734795 0.889759446896199 4363.370115359336523 0.884974892658994 4364.824814500844695 0.880658181231563 4366.279998622888343 0.879081870403830 4367.735667887162890 0.878358903507013 4369.191822455404690 0.881999894305821 4370.648462489409212 0.884690118026837 4372.105588151020129 0.883117929808275 4373.563199602150235 0.880656413104366 4375.021297004752341 0.874696023269114 4376.479880520835650 0.869210801870717 4377.938950312460292 0.865376929071137 4379.398506541756433 0.861474368748544 4380.858549370890614 0.857363944891061 4382.319078962090316 0.854264484659594 4383.780095477632130 0.853899711763228 4385.241599079860862 0.855414988770840 4386.703589931160423 0.861415881392463 4388.166068193973842 0.865732293940941 4389.629034030795083 0.866498483020192 4391.092487604185408 0.866176036370922 4392.556429076744280 0.863830453089445 4394.020858611133917 0.861354141519248 4395.485776370063832 0.858664223332529 4396.951182516310837 0.853416312973676 4398.417077212693584 0.844481193651306 4399.883460622088933 0.837321981339258 4401.350332907425582 0.832417341556097 4402.817694231695896 0.830055428425978 4404.285544757937714 0.830518201995946 4405.753884649244355 0.829709209349244 4407.222714068760069 0.827669246690966 4408.692033179698228 0.825704703992627 4410.161842145310402 0.823803313232595 4411.632141128910007 0.820730465789121 4413.102930293863210 0.816811707562650 4414.574209803586200 0.810965242121335 4416.045979821564288 0.803931698896232 4417.518240511321892 0.800646746237568 4418.990992036444368 0.799310964079877 4420.464234560566183 0.803518939026900 4421.937968247389108 0.810118549314032 4423.412193260658569 0.819398457676460 4424.886909764175471 0.829618527997222 4426.362117921793470 0.838255521350073 4427.837817897434434 0.846458601597248 4429.314009855059339 0.850158533250012 4430.790693958689189 0.852929267094969 4432.267870372396828 0.852989001227141 4433.745539260321493 0.852660347135132 4435.223700786643349 0.851536141002198 4436.702355115603496 0.850343569853514 4438.181502411492147 0.851990240183652 4439.661142838667729 0.853789223020817 4441.141276561530503 0.858767481311315 4442.621903744539850 0.863473093421298 4444.103024552205170 0.864555770104136 4445.584639149104987 0.865388133907082 4447.066747699857842 0.864421612208185 4448.549350369142303 0.863300208080898 4450.032447321687869 0.861453933714836 4451.516038722293160 0.858827112523490 4453.000124735795907 0.853587596978615 4454.484705527094775 0.849282833201700 4455.969781261138451 0.847315266696818 4457.455352102944744 0.846523620034482 4458.941418217572391 0.847983434838022 4460.427979770141064 0.850169424866423 4461.915036925822278 0.853436669312100 4463.402589849841206 0.858030309454117 4464.890638707490325 0.864171238133170 4466.379183664103948 0.869482390877787 4467.868224885075506 0.874035530649285 4469.357762535850270 0.875380560776348 4470.847796781940815 0.874448887698173 4472.338327788902461 0.872376206471641 4473.829355722349646 0.869682740948392 4475.320880747947740 0.870358556346586 4476.812903031430324 0.872393304053239 4478.305422738573725 0.875721885616248 4479.798440035212479 0.879419063791182 4481.291955087233873 0.884348031963674 4482.785968060593405 0.889502557491478 4484.280479121286589 0.894609899495611 4485.775488435370789 0.899714380412631 4487.270996168954298 0.899039896131692 4488.767002488212711 0.898035497310048 4490.263507559365280 0.892923305715734 4491.760511548690374 0.888333074262148 4493.258014622516384 0.887340194588674 4494.756016947241733 0.888203887537911 4496.254518689307588 0.896469634964015 4497.753520015212416 0.905042706897284 4499.253021091509254 0.914420530975439 4500.753022084817530 0.923615203107168 4502.253523161799421 0.932468922062874 4503.754524489178038 0.940044771827563 4505.256026233730154 0.945914994263971 4506.758028562285290 0.948359061987729 4508.260531641741181 0.947460608724132 4509.763535639039219 0.948170760825372 4511.267040721179001 0.950017960458182 4512.771047055211966 0.954970807914505 4514.275554808260495 0.961476592910026 4515.780564147485165 0.964939830376375 4517.286075240111131 0.967383600568729 4518.792088253411748 0.967772728080349 4520.298603354732222 0.967748153810092 4521.805620711456868 0.966760579403727 4523.313140491032755 0.965686876492426 4524.821162860958793 0.965264531343271 4526.329687988800288 0.965626166528351 4527.838716042167107 0.974001803471526 4529.348247188730056 0.982009640087927 4530.858281596208144 0.988301582986390 4532.368819432394957 0.993791034624556 4533.879860865120463 0.997071275275113 4535.391406062281021 1.002198694640374 4536.903455191819376 1.010650271106844 4538.416008421751030 1.018271997572944 4539.929065920132416 1.024874841104740 4541.442627855081810 1.031984303358484 4542.956694394767510 1.039522091983823 4544.471265707428756 1.044908996842145 4545.986341961345715 1.049064482092390 4547.501923324861309 1.047408211087539 4549.018009966368481 1.043616047237725 4550.534602054330207 1.042121377397675 4552.051699757253118 1.041103304973605 4553.569303243702961 1.042665501781830 4555.087412682301874 1.044529948973283 4556.606028241723834 1.050097861992352 4558.125150090714669 1.056434176465928 4559.644778398060225 1.068109356197589 4561.164913332607284 1.079922851335575 4562.685555063256288 1.092199489364593 4564.206703758976801 1.104639041309658 4565.728359588779313 1.117406336285659 4567.250522721738889 1.129136683814351 4568.773193326977889 1.139508252974469 4570.296371573692340 1.146879392318152 4571.820057631119198 1.151675999748842 4573.344251668557263 1.153485122376482 4574.868953855356267 1.153647477499904 4576.394164360937793 1.151442599890893 4577.919883354765261 1.148457140405073 4579.446111006361207 1.148778690058450 4580.972847485303646 1.149637411826119 4582.500092961237897 1.154186080282152 4584.027847603853843 1.158949470535334 4585.556111582902304 1.164843339048613 4587.084885068185031 1.170781808788908 4588.614168229575625 1.176899824772114 4590.143961236989526 1.182652471376400 4591.674264260404016 1.187578198106557 4593.205077469848220 1.193855747159644 4594.736401035421295 1.201986423095859 4596.268235127266053 1.208856031380336 4597.800579915586241 1.214641198951631 4599.333435570641996 1.218127424113173 4600.866802262746205 1.220397995589799 4602.400680162281787 1.219566168570927 4603.935069439676226 1.217819069473579 4605.469970265416123 1.209660248966034 4607.005382810041738 1.200752546732811 4608.541307244163363 1.194473538089852 4610.077743738435856 1.188992340932235 4611.614692463572283 1.188675900922012 4613.152153590342095 1.188684806797067 4614.690127289582961 1.189634842127210 4616.228613732176200 1.190379106155891 4617.767613089064071 1.190787988395624 4619.307125531242491 1.190523253300191 4620.847151229777410 1.189599977347145 4622.387690355778432 1.189307112210249 4623.928743080417007 1.189381146901681 4625.470309574915518 1.191136740351820 4627.012390010569106 1.193424637789316 4628.554984558714750 1.195956935309998 4630.098093390753093 1.198478624241944 4631.641716678134799 1.198739324626903 4633.185854592383293 1.198241221806016 4634.730507305064748 1.193400036190272 4636.275674987808088 1.188769482015088 4637.821357812292263 1.184680497346240 4639.367555950270798 1.182483417618321 4640.914269573537240 1.182960418860190 4642.461498853950616 1.183327482171770 4644.009243963419067 1.183604233892261 4645.557505073923494 1.183196693646144 4647.106282357489363 1.182474050826289 4648.655575986203075 1.181902542038345 4650.205386132207423 1.181363668346472 4651.755712967698855 1.180265527145732 4653.306556664945674 1.178741923006430 4654.857917396258927 1.173543522816819 4656.409795334012415 1.169284822744428 4657.962190650632692 1.168025483168737 4659.515103518616343 1.168188732730055 4661.068534110505425 1.170670778683335 4662.622482598902934 1.169349982637705 4664.176949156465525 1.164559968030136 4665.731933955920795 1.156872066444893 4667.287437170039993 1.147734974519834 4668.843458971657128 1.138839957742787 4670.399999533658956 1.129998777868977 4671.957059029003176 1.118065153633342 4673.514637630692050 1.106518655602827 4675.072735511790597 1.099487699121325 4676.631352845414767 1.094721739395978 4678.190489804754179 1.096645844002623 4679.750146563042108 1.096237321566437 4681.310323293572765 1.092366465138107 4682.871020169695839 1.085823166964556 4684.432237364830144 1.077121490283662 4685.993975052440874 1.068840545269296 4687.556233406052343 1.060733917763579 4689.119012599246162 1.051785443082454 4690.682312805673064 1.042739838992329 4692.246134199029257 1.037504379588616 4693.810476953070975 1.032810313612673 4695.375341241609931 1.030825626234290 4696.940727238530599 1.028406664256727 4698.506635117758378 1.025079362590704 4700.073065053284154 1.019926571181265 4701.640017219155197 1.012801949636913 4703.207491789472442 1.006195518490368 4704.775488938410490 0.999880362240754 4706.344008840183960 0.997006284359965 4707.913051669075685 0.994999228770482 4709.482617599416699 0.991947100727924 4711.052706805614434 0.989271958737657 4712.623319462117252 0.989643924997314 4714.194455743438084 0.991329646163503 4715.766115824143526 0.996315906167299 4717.338299878871112 0.999631137960706 4718.911008082303852 1.000894583530773 4720.484240609186600 1.003090604531491 4722.057997634318781 1.005872974632711 4723.632279332570761 1.008248638419334 4725.207085878859289 1.010510184214070 4726.782417448162050 1.007485152569839 4728.358274215510392 1.004071389668442 4729.934656356011146 0.999927687434977 4731.511564044811166 0.995683683303658 4733.088997457123696 0.991191738781750 4734.666956768213822 0.986004196861894 4736.245442153419390 0.979991257170520 4737.824453788123719 0.972809728714084 4739.403991847771977 0.964939092633749 4740.984056507863897 0.957500322548894 4742.564647943971977 0.950165844554267 4744.145766331712366 0.944405157078419 4745.727411846764880 0.938930869742024 4747.309584664868453 0.934852750904444 4748.892284961814767 0.932038815294655 4750.475512913469174 0.931811988606158 4752.059268695740684 0.931100219672142 4753.643552484602878 0.929915032499738 4755.228364456081181 0.926279044541442 4756.813704786277412 0.921514535192446 4758.399573651334322 0.918637654552751 4759.985971227459231 0.916053037808337 4761.572897690914942 0.913420905406114 4763.160353218036107 0.911003608858810 4764.748337985201033 0.909318997836971 4766.336852168852602 0.908855487620814 4767.925895945487355 0.910146930720458 4769.515469491676413 0.910464722537952 4771.105572984033643 0.910118629475737 4772.696206599237485 0.911639245179671 4774.287370514020040 0.913686866689067 4775.879064905186169 0.916004664503255 4777.471289949587117 0.918586306081206 4779.064045824135974 0.922567444502639 4780.657332705801309 0.927656668622787 4782.251150771624452 0.934875132459609 4783.845500198692207 0.940914021398797 4785.440381164153223 0.945914805303705 4787.035793845211629 0.949071260414674 4788.631738419146131 0.951520863530700 4790.228215063279094 0.949383985376264 4791.825223954996545 0.946550766503472 4793.422765271738172 0.941497877236512 4795.020839191019149 0.936796521073550 4796.619445890399220 0.932912625473843 4798.218585547499970 0.929960037177652 4799.818258340003922 0.927952263753616 4801.418464445647260 0.928626788060160 4803.019204042241654 0.930491114879550 4804.620477307641522 0.934588699277473 4806.222284419765856 0.939096918046478 4807.824625556588217 0.944983165992265 4809.427500896156744 0.950417562460466 4811.030910616563233 0.954731374992798 4812.634854895964963 0.957902153619101 4814.239333912573784 0.959875615817201 4815.844347844673393 0.962021282639637 4817.449896870593875 0.964244877182045 4819.055981168730796 0.963531030997862 4820.662600917531563 0.962692300613094 4822.269756295520892 0.964007783565237 4823.877447481265335 0.965871206583197 4825.485674653397837 0.969005865972466 4827.094437990605002 0.968504216701251 4828.703737671648923 0.964467780690650 4830.313573875335351 0.959777685331997 4831.923946780535516 0.954825086089556 4833.534856566173403 0.954342402459035 4835.146303411250301 0.955227534924296 4836.758287494810247 0.962671400009517 4838.370808995962761 0.972142947276235 4839.983868093871024 0.985526941320346 4841.597464967775522 0.998352588651545 4843.211599796958581 1.010726913254857 4844.826272760768916 1.016278445452739 4846.441484038608905 1.019735040593295 4848.057233809957324 1.017037923345574 4849.673522254337513 1.015462581382982 4851.290349551335567 1.019161487744059 4852.907715880599426 1.027210222978037 4854.525621421832511 1.041569750650359 4856.144066354811002 1.064209507021497 4857.763050859357463 1.091827159436987 4859.382575115358122 1.119389248263631 4861.002639302757416 1.145943128491681 4862.623243601569811 1.157094887979077 4864.244388191859798 1.164990720759441 4865.866073253752802 1.164554712494082 4867.488298967431547 1.156482694215980 4869.111065513154244 1.140833084666604 4870.734373071221853 1.120362334757647 4872.358221822003543 1.098043135221098 4873.982611945920326 1.083954222615045 4875.607543623470519 1.070816612172653 4877.233017035197918 1.060055658478795 4878.859032361709069 1.049377946466606 4880.485589783668729 1.038829383697921 4882.112689481815323 1.031806863901248 4883.740331636932751 1.026930309477533 4885.368516429868578 1.027145141971093 4886.997244041529484 1.028256097035923 4888.626514652894002 1.029245254458919 4890.256328444987048 1.030901631544598 4891.886685598899930 1.034071967430178 4893.517586295777619 1.038036621767261 4895.149030716841480 1.042688813879108 4896.781019043358356 1.045347303588781 4898.413551456660571 1.047402505302643 4900.046628138139567 1.052750550222863 4901.680249269244086 1.058171321173180 4903.314415031497447 1.063827178618045 4904.949125606469352 1.067295774624941 4906.584381175793169 1.068268098856428 4908.220181921158655 1.066713510475360 4909.856528024332874 1.064089145731595 4911.493419667126545 1.061386302414528 4913.130857031415871 1.059262389330422 4914.768840299133444 1.059859988543161 4916.407369652289162 1.062250357211007 4918.046445272933852 1.067163656922532 4919.686067343190189 1.072763034610117 4921.326236045230871 1.078724404880685 4922.966951561307724 1.078786205810750 4924.608214073718045 1.077078572165985 4926.250023764823709 1.068573684213246 4927.892380817042977 1.059994341617736 4929.535285412870508 1.051295212710468 4931.178737734846436 1.046547362304571 4932.822737965575470 1.044183697676269 4934.467286287719617 1.049908197254425 4936.112382884017279 1.057455243354568 4937.758027937250517 1.069621388840059 4939.404221630271422 1.079363833901527 4941.050964145982107 1.084818065185626 4942.698255667366539 1.083523843433129 4944.346096377450522 1.077887801774682 4945.994486459328073 1.068464624424192 4947.643426096148687 1.058760112821820 4949.292915471138258 1.051961724251886 4950.942954767568153 1.046724958226419 4952.593544168775225 1.044285687123656 4954.244683858159988 1.044876082241533 4955.896374019174800 1.047400458926004 4957.548614835353874 1.052842759472257 4959.201406490272348 1.058408206706968 4960.854749167574482 1.061411396783799 4962.508643050960018 1.063107853077676 4964.163088324204182 1.062596997448954 4965.818085171131315 1.060548648096047 4967.473633775627604 1.057589250618372 4969.129734321639262 1.050731047188489 4970.786386993186170 1.043475861655687 4972.443591974338233 1.036883110636060 4974.101349449227200 1.030347065346308 4975.759659602043030 1.023896354469315 4977.418522617054805 1.015126777846991 4979.077938678573446 1.005170567299970 4980.737907970979904 0.997842384069415 4982.398430678708792 0.990857037238060 4984.059506986273846 0.984423205331833 4985.721137078233369 0.979419823533571 4987.383321139213876 0.976178690990174 4989.046059353896453 0.976798556412160 4990.709351907040400 0.978978178877654 4992.373198983450493 0.977007584241634 4994.037600767998811 0.974940597122209 4995.702557445614730 0.972872523212373 4997.368069201302205 0.971994383545730 4999.034136220114306 0.972260379994028 5000.700758687167763 0.972015632609702 5002.367936787644794 0.971665688512539 5004.035670706781275 0.972134632147115 5005.703960629891299 0.971130145934139 5007.372806742336252 0.966954697025354 5009.042209229542095 0.958570980187833 5010.712168276992998 0.947242370694613 5012.382684070251344 0.938099121413834 5014.053756794924084 0.929821560270087 5015.725386636685471 0.924887734234624 5017.397573781267965 0.920971960047146 5019.070318414480425 0.918538892269161 5020.743620722177184 0.920095548959778 5022.417480890281695 0.923509788045759 5024.091899104772892 0.924403266143239 5025.766875551708836 0.924159821365639 5027.442410417190331 0.920580071472187 5029.118503887390034 0.917517112819674 5030.795156148533351 0.914943424633367 5032.472367386927544 0.909191498274311 5034.150137788923530 0.902449843003396 5035.828467540939528 0.893725695156939 5037.507356829451965 0.886206395187269 5039.186805841014575 0.880895463369951 5040.866814762227477 0.876287641489820 5042.547383779758093 0.872082952411321 5044.228513080332050 0.872276478749586 5045.910202850750466 0.873455994813134 5047.592453277863569 0.876981141482107 5049.275264548587074 0.878314449778385 5050.958636849896720 0.877335883461542 5052.642570368841916 0.873492978578629 5054.327065292523002 0.868704949123850 5056.012121808105803 0.862318570895277 5057.697740102817988 0.856115807951480 5059.383920363945435 0.850259693946413 5061.070662778852238 0.846286143586519 5062.757967534949785 0.843387993678800 5064.445834819714946 0.844595996093688 5066.134264820683711 0.846060545926146 5067.823257725471194 0.847270332626425 5069.512813721736165 0.846840574593218 5071.202932997207427 0.844824927180902 5072.893615739671986 0.842707764721915 5074.584862136993252 0.840504563094721 5076.276672377081923 0.837725513420280 5077.969046647916912 0.836167707496744 5079.661985137535339 0.836523897343427 5081.355488034050722 0.839597578772724 5083.049555525626602 0.843920113194662 5084.744187800491090 0.846887117488414 5086.439385046932330 0.850097204240597 5088.135147453314858 0.853999805329920 5089.831475208053234 0.856878892728088 5091.528368499627504 0.859008835772719 5093.225827516575919 0.856627686567329 5094.923852447514946 0.853386728620475 5096.622443481110167 0.849097517174996 5098.321600806092647 0.843500167585254 5100.021324611253476 0.836479209139850 5101.721615085461053 0.830551416790028 5103.422472417631070 0.825445503392380 5105.123896796747431 0.825960326657756 5106.825888411852247 0.826620100151901 5108.528447452065848 0.827507902302010 5110.231574106557673 0.829582147603388 5111.935268564562648 0.832180682281432 5113.639531015380271 0.836772455537913 5115.344361648368249 0.839997611908646 5117.049760652962505 0.840141076712580 5118.755728218646254 0.839050561120758 5120.462264534971837 0.837189115979152 5122.169369791548888 0.839954341286806 5123.877044178067081 0.842836954769223 5125.585287884261561 0.844861210789630 5127.294101099937507 0.845903594537113 5129.003484014958303 0.846127111125529 5130.713436819265553 0.846498255549283 5132.423959702849061 0.845589159740926 5134.135052855766844 0.838321591606119 5135.846716468135128 0.831345369132800 5137.558950730148354 0.824679844596713 5139.271755832050985 0.823549506973635 5140.985131964152970 0.824301820439552 5142.699079316826101 0.828854154941799 5144.413598080518568 0.833496625814765 5146.128688445727676 0.838257637440109 5147.844350603018029 0.841420407905401 5149.560584743013351 0.844020159032623 5151.277391056418310 0.846246790377549 5152.994769733983048 0.848275215653079 5154.712720966526831 0.849988883952647 5156.431244944929858 0.852929156285416 5158.150341860147819 0.856322999084823 5159.870011903186423 0.857836952899511 5161.590255265120504 0.858897452473851 5163.311072137088559 0.859117474449583 5165.032462710287291 0.861114792435639 5166.754427175992532 0.863972793091045 5168.476965725527407 0.863332907869600 5170.200078550286889 0.861343143278546 5171.923765841721433 0.856541343831161 5173.648027791363347 0.854139488176965 5175.372864590790414 0.853033182607747 5177.098276431653176 0.854617458686346 5178.824263505657655 0.858105461680799 5180.550826004589908 0.865804087933858 5182.277964120286924 0.877599290022355 5184.005678044652086 0.891775880695807 5185.733967969646983 0.901392351101339 5187.462834087316878 0.908991554549061 5189.192276589750691 0.912152987482693 5190.922295669110099 0.914842200457941 5192.652891517613170 0.917248274588722 5194.384064327558917 0.921931691277765 5196.115814291295464 0.926461936787846 5197.848141601238240 0.930367076578313 5199.581046449864516 0.934821732335233 5201.314529029727964 0.939606602818074 5203.048589533434097 0.942782211112786 5204.783228153654818 0.945352503399839 5206.518445083123879 0.946643930849551 5208.254240514652338 0.947192755767946 5209.990614641102184 0.947313045973264 5211.727567655403618 0.947884513284157 5213.465099750545050 0.948729715099079 5215.203211119597654 0.950153056597784 5216.941901955678986 0.951375111191146 5218.681172451977545 0.952489349683823 5220.421022801744584 0.954403462606687 5222.161453198292293 0.956546723760982 5223.902463835011986 0.959133865860248 5225.644054905344092 0.961950822424752 5227.386226602799070 0.964901557863635 5229.128979120945587 0.968989758400357 5230.872312653434165 0.973183739150420 5232.616227393962617 0.977561423791408 5234.360723536299702 0.981558510101755 5236.105801274272380 0.985490932705554 5237.851460801789472 0.990943005812199 5239.597702312807087 0.996330108779247 5241.344526001354097 1.001620239997944 5243.091932061513944 1.005987516825749 5244.839920687454651 1.009894017039458 5246.588492073392445 1.012404406289961 5248.337646413612674 1.015239115374738 5250.087383902459806 1.018469514622897 5251.837704734360159 1.022041250266643 5253.588609103789167 1.025555526432921 5255.340097205291386 1.028280530762621 5257.092169233470486 1.031875535136155 5258.844825383013813 1.036320267553330 5260.598065848653277 1.040802350060295 5262.351890825193550 1.045568491987321 5264.106300507501146 1.051351262632972 5265.861295090518979 1.055228515176853 5267.616874769240894 1.057661757627179 5269.373039738733496 1.058388995663883 5271.129790194117959 1.060127053737885 5272.887126330601859 1.064780450617381 5274.645048343438248 1.068836177422561 5276.403556427952935 1.072557310914717 5278.162650779533578 1.076005247725508 5279.922331593632407 1.079038463064695 5281.682599065778049 1.081332876770999 5283.443453391550975 1.084362664515159 5285.204894766602592 1.087748757697324 5286.966923386642520 1.091926225665218 5288.729539447462230 1.094477339414516 5290.492743144902306 1.094996533200760 5292.256534674876093 1.094885368399968 5294.020914233353324 1.094863353539068 5295.785882016387404 1.095985617933166 5297.551438220079945 1.097189623276189 5299.317583040604404 1.098463914933492 5301.084316674194270 1.099691308697571 5302.851639317163063 1.100774164906393 5304.619551165875237 1.101480711036015 5306.388052416765277 1.101907517660388 5308.157143266328603 1.102180740128524 5309.926823911140673 1.103034543863274 5311.697094547826055 1.103330694213983 5313.467955373083896 1.102707073828135 5315.239406583670643 1.101965857328714 5317.011448376424596 1.101514668727973 5318.784080948233168 1.103487670906176 5320.557304496056531 1.105140155393120 5322.331119216913066 1.106461144404048 5324.105525307905737 1.109179240906051 5325.880522966184799 1.112591219543226 5327.656112388971451 1.117514934090931 5329.432293773553283 1.121244435807639 5331.209067317279732 1.124224243234726 5332.986433217579361 1.125796101435575 5334.764391671933481 1.126804775038909 5336.542942877891619 1.126865771293551 5338.322087033065145 1.127428423696986 5340.101824335149104 1.127905189163587 5341.882154981885833 1.126541335779366 5343.663079171088611 1.123986663457142 5345.444597100634383 1.120251868561312 5347.226708968479215 1.119336016473578 5349.009414972631930 1.119052946927912 5350.792715311167740 1.119490665022197 5352.576610182228251 1.119330264583079 5354.361099784034195 1.118869401906788 5356.146184314857237 1.119326898773745 5357.931863973039071 1.120187354550292 5359.718138956983239 1.121622817103019 5361.505009465176954 1.122487006913487 5363.292475696154725 1.123176797468557 5365.080537848523818 1.123737444204452 5366.869196120953347 1.124517773876021 5368.658450712192462 1.125464775594744 5370.448301821043060 1.125950957838335 5372.238749646377983 1.126446105697851 5374.029794387128277 1.126998527080559 5375.821436242312302 1.127045480066663 5377.613675410993892 1.126705666535097 5379.406512092312369 1.124918549725439 5381.199946485465262 1.124427015254218 5382.993978789734683 1.125163427698439 5384.788609204451859 1.127928844028586 5386.583837929018955 1.130637490840905 5388.379665162907258 1.132708864061359 5390.176091105648084 1.134439425891095 5391.973115956854599 1.136244823344537 5393.770739916189996 1.140502761164598 5395.568963183390224 1.145838480032374 5397.367785958253990 1.152343163080035 5399.167208440660943 1.154386635439267 5400.967230830539847 1.154771096585504 5402.767853327895864 1.152416302997611 5404.569076132790542 1.152635950065295 5406.370899445370924 1.154328878441188 5408.173323465834983 1.158811509263552 5409.976348394451634 1.161953255345959 5411.779974431551636 1.163570038946122 5413.584201777548515 1.163163664764392 5415.389030632906724 1.163205091360966 5417.194461198163481 1.165304503734424 5419.000493673915116 1.169668844213729 5420.807128260844365 1.174949547920158 5422.614365159682166 1.177747876473086 5424.422204571232214 1.178704548245403 5426.230646696361873 1.177641771495210 5428.039691736017630 1.177507972758209 5429.849339891201453 1.177792758405984 5431.659591362983520 1.178809648450099 5433.470446352497675 1.180888635448899 5435.281905060961435 1.183526150602259 5437.093967689643250 1.186945676953442 5438.906634439882509 1.189854895496793 5440.719905513086815 1.192268484363686 5442.533781110723794 1.193502020868917 5444.348261434349297 1.194643419002605 5446.163346685563738 1.195817593302215 5447.979037066045748 1.199252189357348 5449.795332777530348 1.203373554849385 5451.612234021842596 1.206749920364375 5453.429741000852118 1.207404390676807 5455.247853916505846 1.205906570273432 5457.066572970808920 1.204282280309372 5458.885898365853791 1.203924496103402 5460.705830303782932 1.205595002645210 5462.526368986808848 1.209761300644140 5464.347514617209526 1.214621882434511 5466.169267397344811 1.219733170927279 5467.991627529627294 1.223353696037222 5469.814595216540511 1.226047060364196 5471.638170660630749 1.227645908474547 5473.462354064528881 1.230363795439405 5475.287145630916712 1.234364498161771 5477.112545562547893 1.238640293939749 5478.938554062240655 1.241505218194830 5480.765171332895079 1.241061321435038 5482.592397577462179 1.237743392404997 5484.420232998969368 1.233494942511591 5486.248677800501355 1.230196411843508 5488.077732185231071 1.230114167693672 5489.907396356381469 1.232482852474656 5491.737670517248262 1.233298168704011 5493.568554871189917 1.233410700272055 5495.400049621647668 1.232550143606283 5497.232154972117314 1.234261163674760 5499.064871126165599 1.236895804416596 5500.898198287427476 1.240725582789762 5502.732136659599746 1.246370789580192 5504.566686446465610 1.252591007055938 5506.401847851858292 1.256989048209459 5508.237621079682867 1.261180478318582 5510.074006333910802 1.265199541393184 5511.911003818595418 1.270012867586211 5513.748613737840969 1.273451009811893 5515.586836295828107 1.274820395405128 5517.425671696795689 1.276205542800457 5519.265120145071705 1.277468554277455 5521.105181845034167 1.278382054809064 5522.945857001133845 1.275969421347238 5524.787145817883356 1.271748050748787 5526.629048499882629 1.265120893640402 5528.471565251782522 1.258621922639015 5530.314696278306656 1.252222159318709 5532.158441784240495 1.248377806614912 5534.002801974457725 1.244303782369300 5535.847777053881146 1.239918555620439 5537.693367227507224 1.231694944703376 5539.539572700396093 1.223785902528108 5541.386393677693377 1.217934974177901 5543.233830364596542 1.215276302348835 5545.081882966374906 1.213961838687286 5546.930551688361447 1.213715217404410 5548.779836735978279 1.213303019901262 5550.629738314692077 1.212763037069274 5552.480256630050462 1.211813271032947 5554.331391887658356 1.212182217117903 5556.183144293210717 1.213864144494182 5558.035514052451617 1.215604016326368 5559.888501371199709 1.217345198865697 5561.742106455342764 1.219082532968676 5563.596329510830401 1.218638471435650 5565.451170743699549 1.216959295131823 5567.306630360038071 1.213189796967075 5569.162708566007495 1.211005806601882 5571.019405567834838 1.209700429968536 5572.876721571828966 1.209699671563476 5574.734656784352410 1.208936586088831 5576.593211411844095 1.207646701782338 5578.452385660804794 1.205724601298215 5580.312179737818951 1.203998664458158 5582.172593849525583 1.202464964643026 5584.033628202636464 1.202453014987814 5585.895283003928853 1.202205855799830 5587.757558460264590 1.201503530016121 5589.620454778556450 1.199360638927012 5591.483972165794512 1.197890957056158 5593.348110829028883 1.198510388515911 5595.212870975397891 1.198856222707226 5597.078252812091705 1.198547765050703 5598.944256546375073 1.196115804626714 5600.810882385575496 1.193891616143681 5602.678130537107791 1.191779023959299 5604.546001208438611 1.189717621334497 5606.414494607108281 1.187369659874296 5608.283610940721701 1.184693425647287 5610.153350416971080 1.178362142092289 5612.023713243597740 1.170740075183778 5613.894699628420312 1.161759129597223 5615.766309779326548 1.158360575205870 5617.638543904266953 1.157056189447648 5619.511402211279346 1.158367494245721 5621.384884908454296 1.157765912476607 5623.258992203955131 1.156390028627944 5625.133724306009753 1.154028400808075 5627.009081422935196 1.152778781996714 5628.885063763097605 1.152344731529881 5630.761671534939524 1.153480000095035 5632.638904946967159 1.152563821771242 5634.516764207773122 1.150004940559478 5636.395249526003681 1.143591957844065 5638.274361110377868 1.137855500784708 5640.154099169682013 1.132708288293016 5642.034463912787032 1.129371203758073 5643.915455548614773 1.125780345347139 5645.797074286166207 1.121963685144950 5647.679320334504155 1.117208895978975 5649.562193902777835 1.112784834349095 5651.445695200189220 1.108693238070811 5653.329824436017589 1.106723184517076 5655.214581819604973 1.104264596817139 5657.099967560378900 1.101078527648058 5658.985981867821465 1.098033449605920 5660.872624951491161 1.095857881905050 5662.759897021007419 1.095104494457121 5664.647798286079706 1.094997597801781 5666.536328956468424 1.094334138370102 5668.425489242010372 1.092225722018663 5670.315279352606922 1.088255873418077 5672.205699498246759 1.084022822883305 5674.096749888969498 1.080428961138212 5675.988430734892063 1.076886035742229 5677.880742246202317 1.073412901276094 5679.773684633150879 1.070131994155117 5681.667258106075678 1.067170481989973 5683.561462875368306 1.064358285432279 5685.456299151495841 1.061574934784239 5687.351767144990845 1.058817480003117 5689.247867066470462 1.056091289683792 5691.144599126608227 1.053489751722646 5693.041963536152252 1.049384951636683 5694.939960505914314 1.044119945042156 5696.838590246794411 1.037039426397872 5698.737852969746200 1.029860424735428 5700.637748885797919 1.022705155924604 5702.538278206045106 1.017940588512275 5704.439441141667885 1.014311085303347 5706.341237903900947 1.011711569223817 5708.243668704055381 1.007869623140290 5710.146733753505941 1.004260645651334 5712.050433263717423 1.000895316872764 5713.954767446203732 0.998863424204946 5715.859736512559721 0.997313873275667 5717.765340674442086 0.996291406884122 5719.671580143596657 0.993991937079115 5721.578455131821102 0.992203217032350 5723.485965850990397 0.991193751127087 5725.394112513045002 0.992893230151744 5727.302895330012689 0.994738702367408 5729.212314513975798 0.996439862397583 5731.122370277089431 0.995569212881892 5733.033062831578718 0.993894462183409 5734.944392389752466 0.991417324161350 5736.856359163976776 0.990598905182696 5738.768963366690514 0.989875612403861 5740.682205210406210 0.988900786563090 5742.596084907700060 0.988432651970722 5744.510602671238303 0.988939991494253 5746.425758713737196 0.991106283342639 5748.341553247993033 0.992653641777211 5750.257986486866685 0.993538737742706 5752.175058643305420 0.993347482627318 5754.092769930312897 0.992382768241241 5756.011120560966447 0.990759757400460 5757.930110748412517 0.988104300137621 5759.849740705882141 0.985160177206260 5761.770010646661831 0.981971717996445 5763.690920784115406 0.978397442852374 5765.612471331671259 0.976212661889200 5767.534662502846913 0.975035717533616 5769.457494511213554 0.975365384446925 5771.380967570418761 0.975408392002628 5773.305081894175601 0.975902731015298 5775.229837696287177 0.977510313272021 5777.155235190608437 0.979448174859737 5779.081274591073452 0.980815380309046 5781.007956111679960 0.980807375338673 5782.935279966514827 0.979156725195280 5784.863246369721310 0.976954180178123 5786.791855535515424 0.974345974960556 5788.721107678184126 0.973284003070283 5790.651003012097135 0.972152525964377 5792.581541751684199 0.970241351304622 5794.512724111447824 0.966604709896149 5796.444550305965095 0.963094437918878 5798.377020549875851 0.960458317678800 5800.310135057912703 0.960951747303830 5802.243894044860099 0.962294996990803 5804.178297725578886 0.964180455384331 5806.113346314996306 0.962340641199019 5808.049040028132367 0.960186859712439 5809.985379080056191 0.958456441654657 5811.922363685916935 0.960010442472473 5813.859994060929239 0.961457055208715 5815.798270420396875 0.962095125175360 5817.737192979679094 0.959734724231746 5819.676761954210633 0.957045635158978 5821.616977559493534 0.954323432532483 5823.557840011118969 0.955034360899607 5825.499349524732679 0.956132351932230 5827.441506316057712 0.957403136443938 5829.384310600884419 0.956185350176972 5831.327762595090462 0.955594872977073 5833.271862514608074 0.955811727226775 5835.216610575451341 0.959435203956892 5837.162006993696195 0.963546053957228 5839.108051985507700 0.968074844834661 5841.054745767110035 0.971613803602780 5843.002088554800139 0.974386148476830 5844.950080564945893 0.976393451472410 5846.898722014000668 0.976570713490020 5848.848013118475137 0.975629087994451 5850.797954094957277 0.973826295564216 5852.748545160100548 0.971561614977727 5854.699786530650272 0.970154083615418 5856.651678423404519 0.969494283445072 5858.604221055240487 0.970185380511659 5860.557414643106313 0.970692403039890 5862.511259404018347 0.971583235234411 5864.465755555082069 0.974532170738398 5866.420903313458439 0.982242439485738 5868.376702896385723 0.992064242160943 5870.333154521169490 1.002475952052537 5872.290258405203531 1.008972559461723 5874.248014765938933 1.013579395602314 5876.206423820905002 1.016539354945951 5878.165485787696525 1.019469431281430 5880.125200883996513 1.021282282751644 5882.085569327548910 1.020955133775920 5884.046591336169513 1.017359716757292 5886.008267127745967 1.012900034544691 5887.970596920252319 1.007876656858757 5889.933580931719916 1.003133242902964 5891.897219380258321 0.998487230972803 5893.861512484043487 0.993930848895149 5895.826460461341412 0.989392194235066 5897.792063530474479 0.985416078495801 5899.758321909843289 0.981864764775445 5901.725235817914836 0.976655150948829 5903.692805473247063 0.970081690548617 5905.661031094452483 0.962689850410251 5907.629912900221825 0.956370477345876 5909.599451109315851 0.950541513096452 5911.569645940582632 0.945183840562208 5913.540497612928448 0.940734501525780 5915.512006345334157 0.937036179100651 5917.484172356858835 0.934420979223255 5919.456995866625221 0.934056266280228 5921.430477093847003 0.935808107764341 5923.404616257794260 0.937311941139063 5925.379413577817104 0.937289953009635 5927.354869273329314 0.933893629971964 5929.330983563839254 0.929313133587925 5931.307756668909860 0.923737423978140 5933.285188808181374 0.919687780980371 5935.263280201363159 0.915921697143208 5937.242031068253709 0.912372131927497 5939.221441628709727 0.908811338573278 5941.201512102666129 0.907691690898869 5943.182242710123319 0.908650657461905 5945.163633671176285 0.911866287475072 5947.145685205970949 0.916143384527573 5949.128397534737815 0.920963570229703 5951.111770877771050 0.925843960201178 5953.095805455456684 0.927453960652861 5955.080501488238951 0.927774029095327 5957.065859196638485 0.927526078807734 5959.051878801244129 0.927715117282000 5961.038560522737498 0.928108974667556 5963.025904581854775 0.928696551838042 5965.013911199412178 0.930881038287823 5967.002580596294138 0.932525397616533 5968.991912993473306 0.933490558551406 5970.981908611984181 0.933703170535177 5972.972567672934019 0.934898075004642 5974.963890397502837 0.937075701641089 5976.955877006960691 0.941087860738871 5978.948527722634026 0.944543762189728 5980.941842765925685 0.946778750480403 5982.935822358318546 0.946060635616145 5984.930466721358243 0.943116867129296 5986.925776076684997 0.940027250284011 5988.921750645991779 0.937669222887891 5990.918390651056143 0.935212893698203 5992.915696313718399 0.931563415860289 5994.913667855915264 0.926532439149368 5996.912305499636204 0.920690000517947 5998.911609466953450 0.914832234312590 6000.911579980005627 0.909218036204312 6002.912217261022306 0.905252805670314 6004.913521532293089 0.902511299395592 6006.915493016182154 0.900087024698655 6008.918131935126439 0.896979155954631 6010.921438511652923 0.894869397720835 6012.925412968345881 0.894608824585639 6014.930055527868717 0.897107021333203 6016.935366412952135 0.902422000521658 6018.941345846424156 0.907742204414968 6020.947994051161004 0.912705325647776 6022.955311250127124 0.915135521101263 6024.963297666348808 0.917307963122560 6026.971953522950571 0.919232678860906 6028.981279043107861 0.920757539542145 6030.991274450080709 0.919850244409130 6033.001939967194630 0.917759914372833 6035.013275817869726 0.914901758641033 6037.025282225582487 0.913126573670928 6039.037959413888530 0.912613793419526 6041.051307606411683 0.913506548419493 6043.065327026870364 0.913509104857219 6045.080017899037557 0.912620258063883 6047.095380446769923 0.911720625659112 6049.111414893994151 0.914789830250374 6051.128121464709693 0.918984438945151 6053.145500383006947 0.922485607892016 6055.163551873030883 0.923018832221171 6057.182276159012872 0.924196227893356 6059.201673465247950 0.926572417022262 6061.221744016124831 0.930441779496294 6063.242488036091345 0.932719852052454 6065.263905749673540 0.932920593074937 6067.285997381467496 0.931351310432610 6069.308763156162968 0.928677330989504 6071.332203298504282 0.927356416396965 6073.356318033319440 0.926800428221017 6075.381107585502832 0.926782773544541 6077.406572180045259 0.927805564903443 6079.432712041989362 0.929667285800863 6081.459527396464182 0.932372494122227 6083.487018468663337 0.932995459398083 6085.515185483877758 0.933072833856730 6087.544028667452039 0.932903281526796 6089.573548244813537 0.933406594836853 6091.603744441458730 0.932340295749128 6093.634617482976864 0.930366264383131 6095.666167595013576 0.927620272941983 6097.698395003298174 0.926529704156408 6099.731299933626360 0.925745875580594 6101.764882611889334 0.925112113697042 6103.799143264033773 0.924638879378205 6105.834082116090940 0.924203142953626 6107.869699394162126 0.923790062843891 6109.905995324423202 0.923384249893314 6111.942970133139170 0.922810469184179 6113.980624046636876 0.921977045772296 6116.018957291322295 0.920806314687715 6118.057970093667791 0.922525567079597 6120.097662680245776 0.926054283815546 6122.138035277681411 0.930988703255296 6124.179088112682621 0.936242650505117 6126.220821412027362 0.939932431659200 6128.263235402586361 0.942287604707115 6130.306330311289457 0.943022722330485 6132.350106365146530 0.944413889309920 6134.394563791237488 0.945543696913443 6136.439702816736826 0.945935952342492 6138.485523668876340 0.942090654360651 6140.532026574970587 0.938647612283118 6142.579211762399609 0.937161213988254 6144.627079458642584 0.940480663519305 6146.675629891235076 0.943410879290864 6148.724863287791777 0.944644347842221 6150.774779876000139 0.943923286090092 6152.825379883641290 0.943862172244436 6154.876663538552748 0.945296393001782 6156.928631068656614 0.947206208844024 6158.981282701940472 0.947849650327650 6161.034618666491042 0.945653157590975 6163.088639190449612 0.944591276884415 6165.143344502042055 0.945972138534106 6167.198734829560635 0.949727055721935 6169.254810401396753 0.952195549334248 6171.311571445995469 0.954301131739228 6173.369018191886425 0.958135172912330 6175.427150867673845 0.961385181489067 6177.485969702034708 0.963215083557227 6179.545474923737856 0.963148158443403 6181.605666761610337 0.960212151144694 6183.666545444564690 0.956850528058268 6185.728111201578940 0.953361118974735 6187.790364261729337 0.950474463930652 6189.853304854148519 0.944166661533081 6191.916933208052797 0.936356459500021 6193.981249552727604 0.927600045588035 6196.046254117553872 0.923088391126147 6198.111947131969828 0.921470815077784 6200.178328825497374 0.921750779589436 6202.245399427729353 0.922199370789026 6204.313159168350467 0.918985633714077 6206.381608277107262 0.916207303352806 6208.450746983827230 0.915365836142968 6210.520575518407895 0.922310241754839 6212.591094110843187 0.927230624875365 6214.662302991183424 0.929564030882135 6216.734202389563507 0.927419705921043 6218.806792536189278 0.924573028455361 6220.880073661360257 0.922525677453923 6222.954045995434171 0.921548172178374 6225.028709768853332 0.920053179742052 6227.104065212129171 0.915852708619896 6229.180112555869528 0.911262539316111 6231.256852030739537 0.909007688932112 6233.334283867488921 0.908896993213744 6235.412408296935610 0.909253845339128 6237.491225549996670 0.909777762323361 6239.570735857645559 0.909985644772342 6241.650939450937585 0.907641136005815 6243.731836561006276 0.904241982023460 6245.813427419057916 0.900632909514184 6247.895712256391562 0.897132596503507 6249.978691304366293 0.894360293196009 6252.062364794424866 0.892181443514462 6254.146732958078246 0.890220737706925 6256.231796026937445 0.888501994593637 6258.317554232669863 0.887802054252430 6260.404007807026574 0.888411563996889 6262.491156981826862 0.888320960636084 6264.579001988991877 0.886321476657538 6266.667543060497337 0.882536823237970 6268.756780428401726 0.876681750208650 6270.846714324838103 0.872762134469587 6272.937344982033210 0.871176525738967 6275.028672632272901 0.871771520078597 6277.120697507927616 0.873453456233286 6279.213419841436917 0.875539306119423 6281.306839865339498 0.877099283979364 6283.400957812230445 0.877539717318770 6285.495773914790334 0.878465016848088 6287.591288405768864 0.878579223009374 6289.687501518014869 0.877722352046255 6291.784413484434481 0.875393251584228 6293.882024538017504 0.873256184163498 6295.980334911825594 0.870810021126726 6298.079344839016812 0.868442784546005 6300.179054552808338 0.869487923377791 6302.279464286501934 0.872064409212609 6304.380574273474849 0.875312798706765 6306.482384747179822 0.878788133530226 6308.584895941161449 0.880413291975373 6310.688108089027082 0.881807818616114 6312.792021424466839 0.882892295933618 6314.896636181241774 0.883441662585711 6317.001952593212991 0.882530834239303 6319.107970894295249 0.880968019930008 6321.214691318492441 0.878894451504785 6323.322114099877581 0.876349662930702 6325.430239472620997 0.877629117658543 6327.539067670953955 0.879711944184362 6329.648598929189575 0.881274907067764 6331.758833481713737 0.882969970855444 6333.869771563010545 0.886896879400519 6335.981413407621403 0.892515157766452 6338.093759250174116 0.899463357189436 6340.206809325366521 0.906748239649884 6342.320563867995588 0.911877996909524 6344.435023112914678 0.915627236754691 6346.550187295066280 0.920509307193561 6348.666056649461098 0.926682672893868 6350.782631411208058 0.931889174529545 6352.899911815476116 0.935550431831864 6355.017898097518810 0.937658033552822 6357.136590492661526 0.939391595520021 6359.255989236326968 0.940566129646570 6361.376094563997867 0.941024698050154 6363.496906711241536 0.940397814657297 6365.618425913697138 0.941082170052415 6367.740652407102061 0.943238133737142 6369.863586427252812 0.947239047163179 6371.987228210030480 0.952728159719519 6374.111577991396189 0.958258614861662 6376.236636007381094 0.963886431953290 6378.362402494116395 0.969941549827999 6380.488877687792410 0.977151743510561 6382.616061824683129 0.983260546097617 6384.743955141136212 0.987586410769477 6386.872557873597543 0.988807042545909 6389.001870258572126 0.988771111264355 6391.131892532649545 0.987930780200412 6393.262624932493054 0.986568151549355 6395.394067694864134 0.986052564094518 6397.526221056581562 0.987771118109050 6399.659085254553247 0.991916262454051 6401.792660525756219 0.998674231816376 6403.926947107267551 1.005896426147932 6406.061945236225256 1.010405229339936 6408.197655149849197 1.013505083883926 6410.334077085435638 1.016298676410561 6412.471211280376338 1.020067087362279 6414.609057972124901 1.023466610207197 6416.747617398219518 1.026097143706004 6418.886889796272953 1.027346657066563 6421.026875403993472 1.028690945215890 6423.167574459150273 1.031227256461157 6425.308987199600779 1.035095273305784 6427.451113863271530 1.040544095147412 6429.593954688190934 1.047279157582004 6431.737509912444693 1.052757534964116 6433.881779774206734 1.056721667909849 6436.026764511728288 1.059355381231728 6438.172464363335166 1.062893896262197 6440.318879567450495 1.066752603887944 6442.466010362559246 1.070350655975558 6444.613856987231884 1.071816778390214 6446.762419680110725 1.071309244306312 6448.911698679938127 1.069468255490537 6451.061694225516476 1.066218746246283 6453.212406555734560 1.060289628925746 6455.363835909553018 1.050267676205741 6457.515982526033440 1.036755862783027 6459.668846644295627 1.020228814452019 6461.822428503548508 1.003025304139325 6463.976728343070135 0.984785707790570 6466.131746402243152 0.967741983419726 6468.287482920503862 0.953357134235486 6470.443938137381338 0.945625991330723 6472.601112292473772 0.943957197133536 6474.759005625482132 0.947990751851198 6476.917618376162864 0.957630190751710 6479.076950784364271 0.971849143486355 6481.237003090004691 0.988298330973507 6483.397775533103413 1.003733964985768 6485.559268353737934 1.016199952966137 6487.721481792077611 1.023379415317625 6489.884416088358194 1.029448586674627 6492.048071482920932 1.035083494911572 6494.212448216165285 1.040629650724017 6496.377546528578023 1.045949665828662 6498.543366660716856 1.051572123196075 6500.709908853243178 1.058719135784602 6502.877173346878408 1.068084013772464 6505.045160382427639 1.079511980481495 6507.213870200778729 1.092267186201938 6509.383303042893203 1.106139270696386 6511.553459149832634 1.121356362824709 6513.724338762719526 1.140830247391823 6515.895942122760971 1.160330735573194 6518.068269471241365 1.178497944286506 6520.241321049541511 1.194950646138056 6522.415097099107697 1.211954469118237 6524.589597861468064 1.227570798969847 6526.764823578228970 1.242565796108202 6528.940774491094089 1.257324086068361 6531.117450841829850 1.272315989058372 6533.294852872289994 1.288937013603756 6535.472980824399201 1.307951246618933 6537.651834940187655 1.329866904773399 6539.831415461741926 1.355754581155788 6542.011722631237717 1.390889663930627 6544.192756690924398 1.432881707534666 6546.374517883154112 1.482047422955518 6548.557006450335393 1.541888030822695 6550.740222634969541 1.627268757204755 6552.924166679628797 1.729938413418014 6555.108838826986357 1.841473713789624 6557.294239319777262 1.943878696521155 6559.480368400823863 2.010344948264092 6561.667226313022184 2.047753240472652 6563.854813299371017 2.055953456377762 6566.043129602927365 2.032497280287806 6568.232175466838271 1.965307222379470 6570.421951134324445 1.873311560669994 6572.612456848707552 1.767167962631466 6574.803692853370194 1.659583960990286 6576.995659391783192 1.572239656688570 6579.188356707498315 1.502030265633947 6581.381785044142816 1.447116376491084 6583.575944645443087 1.405291610622145 6585.770835755188273 1.372198100958274 6587.966458617255739 1.343349874025273 6590.162813475595613 1.317518692544848 6592.359900574262610 1.293904528338193 6594.557720157368749 1.272388425582037 6596.756272469117903 1.250968473234786 6598.955557753786707 1.230792350605037 6601.155576255752749 1.212911710009152 6603.356328219455463 1.199946015479648 6605.557813889425233 1.189628032888784 6607.760033510262474 1.181460290111098 6609.962987326672192 1.175003930841206 6612.166675583421238 1.169452265055205 6614.371098525362868 1.164049023578625 6616.576256397426732 1.157890982260365 6618.782149444643437 1.150489720784695 6620.988777912106343 1.141339011609000 6623.196142044996122 1.132342168051292 6625.404242088567116 1.123493840846972 6627.613078288179167 1.115439191390805 6629.822650889252145 1.108756041898569 6632.032960137292321 1.104336419100487 6634.244006277883273 1.098666780610124 6636.455789556711352 1.092345521021753 6638.668310219522937 1.086012779643508 6640.881568512153535 1.081309645425223 6643.095564680520511 1.076251062511275 6645.310298970616714 1.069783273074825 6647.525771628537768 1.062416289652843 6649.741982900441144 1.055669835056964 6651.958933032570712 1.052755540120094 6654.176622271248561 1.049528539961642 6656.395050862898643 1.045476147903201 6658.614219054004934 1.040536229611448 6660.834127091142363 1.038454811924020 6663.054775220961346 1.037519924584473 6665.276163690213252 1.036348576389164 6667.498292745712206 1.034354863374329 6669.721162634361463 1.032188457776492 6671.944773603140675 1.030153049310561 6674.169125899130449 1.028173183374441 6676.394219769474148 1.026224407983130 6678.620055461404263 1.024290213711987 6680.846633222229684 1.023714795063054 6683.073953299362074 1.022826123651875 6685.302015940273122 1.021437447863468 6687.530821392526377 1.019468182391398 6689.760369903759965 1.016884139714330 6691.990661721714787 1.010631108093059 6694.221697094195406 1.002256705865779 6696.453476269092789 0.992990385235618 6698.685999494377029 0.984787438068729 6700.919267018118262 0.980530764059961 6703.153279088453019 0.977964964208825 6705.388035953602412 0.976400789647823 6707.623537861867590 0.975314061135158 6709.859785061650655 0.976462915031564 6712.096777801416465 0.976963219077773 6714.334516329719918 0.976059355736605 6716.573000895199584 0.973161160278898 6718.812231746567704 0.967373014132839 6721.052209132642020 0.958544296428042 6723.292933302302117 0.948822950300526 6725.534404504516715 0.939361859333959 6727.776622988332747 0.931298955949623 6730.019589002897192 0.925724381749153 6732.263302797424330 0.921797064550434 6734.507764621213937 0.917606993757888 6736.752974723644002 0.912096049233250 6738.998933354196197 0.905913722897069 6741.245640762414041 0.898904935535297 6743.493097197932912 0.890540631892716 6745.741302910461854 0.881091331932513 6747.990258149817237 0.871181156589236 6750.239963165873633 0.860771048153226 6752.490418208600204 0.852770541662891 6754.741623528039781 0.845567127142835 6756.993579374340698 0.838536685040097 6759.246285997713130 0.833046323869258 6761.499743648456388 0.830803512644965 6763.753952576949814 0.827323194302807 6766.008913033674617 0.822255122759521 6768.264625269173848 0.816256749250357 6770.521089534082421 0.812431620176727 6772.778306079112554 0.813144882216398 6775.036275155080148 0.816497902655585 6777.294997012862041 0.821099964803320 6779.554471903428748 0.825457006792002 6781.814700077825364 0.834081180374114 6784.075681787202484 0.842888782386959 6786.337417282774368 0.849727812010948 6788.599906815843497 0.853066085732509 6790.863150637797844 0.853024658210598 6793.127149000102690 0.853471365959004 6795.391902154326999 0.854550731926207 6797.657410352103398 0.855168740044867 6799.923673845153644 0.853529899551877 6802.190692885278622 0.852263352680562 6804.458467724383809 0.850898961716712 6806.726998614437434 0.848847986273074 6808.996285807497770 0.845573105114718 6811.266329555700395 0.840320141227002 6813.537130111288207 0.835037523396044 6815.808687726563221 0.830793870769189 6818.081002653921132 0.826237060947125 6820.354075145835850 0.820763438056359 6822.627905454883148 0.819370429338923 6824.902493833705194 0.824062907102767 6827.177840535034193 0.828301445348083 6829.453945811677841 0.829613702626901 6831.730809916552971 0.826901137140580 6834.008433102634626 0.822241175480017 6836.286815622994254 0.822746167200707 6838.565957730778791 0.826164003358636 6840.845859679238856 0.829226138148225 6843.126521721689642 0.826846541772074 6845.407944111539109 0.830530978649996 6847.690127102271617 0.841525434336297 6849.973070947477026 0.854410439366426 6852.256775900807042 0.864596638329362 6854.541242216009778 0.868458016926910 6856.826470146912470 0.870612026840747 6859.112459947422394 0.875821613949257 6861.399211871554144 0.882263451586949