SN 1998aq Ia in NGC 3982


Geoffrey Chaucer with an astrolabe.

OBJECT:  SN 1998aq Ia in NGC 3982 (SABb galaxy) which in Leda is
         NGC 3982.
DISCOVERY:  1998apr13 UT by Hurst et al.
MAXIMUM:  1998apr27.35 (JD 2450930.85 +/- 0.10) in B (riess2005, p. 602).
          See the US Navy Observatory Julian Date Converter.
          This day of the year 117.
SUPERNOVA of the YEAR:  M = 43.

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


COMMENTS:  This is a core normal (CN) SN Ia.


REFERENCES:

       branch2003b Specifically on SN 1998aq.

       CfA List of Supernovae
       where SN 1998aq is noted.

       CfA Supernova Archive
       This has 29 SN 1998aq spectra and riess2005 photometry.
       These must be the ones reported in branch2003b and they must
       be the same ones as on SUSPECT, but with different wavelengths.  Which is better?
       Probably both sets are equally good.  The finer wavelengths on SUSPECT may have no
       extra information in them.  But I wish someone would give a definitive good representation.

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

       riess2005 On SN 1998aq photometry.

       SUSPECT Index.

       SUSPECT Index:  SN 1998aq Ia.
       There are 11 SN 1998aq spectra.

CORRECTIONS:  Heliocentric velocity 1146 +/- 26 km/s (2007jul11) from
              Leda.
              Galactic foreground reddening 0.06/4=.015 reddening from
              Leda.
              This dervied derived from
              Schlegel et al. (1998)

OBSERVATIONS:  From
               1) SUSPECT:  but these spectra are probably all in the CfA supernova archive.
               2) CfA supernova archive.
               3) David Branch /home/branch/synow/98aq:  These seem to be all CfA supernova
                  archive spectra
               4) Eddie Baron:  no 98aq spectra.

SPECTRUM LOG:

     JD times for the SN 1998aq spectra of branch2003b.
     Bmax from riess2005 1998apr27.35 (JD 2450930.85 +/- 0.10).

     The branch2003b spectra from SUSPECT all not deredshifted?

     JD Bmax   Heliocentric velocity (Leda, 2007jul01)
     0930.85   1146


     Heliocentric velocity     Z redshift
           1146.0000000000   0.0038226445

     Index     JD of some kind Observer phase     Rest phase

         1      921.7800000000  -9.0700000000  -9.0354606458     ! branch2003b  1998apr18.28  3720--7418.25
         2      922.7600000000  -8.0900000000  -8.0591925716     ! branch2003b  1998apr19.26  3499.5--7139.25
         3      930.7900000000  -0.0600000000  -0.0597715147     ! branch2003b  1998apr27.29  3720--7499.25
         4      937.7600000000   6.9100000000   6.8836861149     ! branch2003b  1998may04.26  3720--7511.25
         5      951.7000000000  20.8500000000  20.7706013743     ! branch2003b  1998may18.20  3720--7539.75
         6     1021.6700000000  90.8200000000  90.4741494873     ! branch2003b  1998jul27.17  3720--7539.75

&specnamelist
   aname='sn1998aq Ia 1998_04_27'
   ebv=.015         !
   epoch=-0.0597715147     ! This parameter needs to updated for the particular spectrum.
   idifmake=0
   iformat=1
   ismooth=1        ! Smoothing gets rid of some of the fuzz without any obvious degradation.
   itick=2
   itickln=4
   t_rise=19.4d0   ! \citep{conley2006}, Just an average rise time.
   v_helio=1146.
   ymin2=6.5
   ymax2=105.
   ymin3=.5
   ymax3=1.5
   wlammin1=3720
   wlammax1=7499.25
   wlammin2=3720
   wlammax2=7499.25
   wlammin3=3720       ! Comparison to other spectra suggest the ends are
   wlammax3=7499.25    ! both good.
/


./figure/sn1998aq_1998_04_27.gif Postscript plot of the spectrum.
./figure/sn1998aq_1998_04_27.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. SIMPLE = T BITPIX = -32 NAXIS = 1 NAXIS1 = 5040 CRVAL1 = 3720. CDELT1 = 0.75 CTYPE1 = 'LINEAR ' OBJECT = '1998aq ' SNTYPE = 'Ia ' TYPECITE= 'NED ' MAXDATE = ' ' MAXBAND = ' ' MAXCITE = ' ' DATE-OBS= '19980427' UT = '06:57:36' BUNIT = 'flambda ' HOSTGAL = 'NGC3982 ' OBSERVER= 'P. Berlind' OBSAFFIL= ' ' TELESCOP= 'FLWO-1.5m' INSTRUME= 'FAST/LoralCCD(2688x512)' COMMENT = 'Resolution: 7.0A' COMMENT = 'Air Mass: 1.17' COMMENT = 'Sky: Clear' COMMENT = 'Seeing: 2arcsec' COMMENT = 'Slit: 2arcsec' COMMENT = 'Exposure: 600s' END: 3705.845314126296216 0.935141355962847 3707.080801800845165 0.925584303401910 3708.316701373265005 0.917062911825178 3709.553012980877611 0.909584051520186 3710.789736761047152 0.902323385443085 3712.026872851195094 0.895613450248353 3713.264421388777009 0.886481939282241 3714.502382511298947 0.878437451356056 3715.740756356307429 0.870475056148623 3716.979543061407639 0.863621977255543 3718.218742764238868 0.859276914654376 3719.458355602489519 0.855763074607377 3720.698381713891195 0.852093760495998 3721.938821236231433 0.850466539769070 3723.179674307333698 0.849836138520403 3724.420941065070110 0.848947536765481 3725.662621647355536 0.847716658628987 3726.904716192162141 0.849237197203384 3728.147224837496651 0.852802079818492 3729.390147721415815 0.856521308589901 3730.633484982021400 0.861478661719144 3731.877236757458832 0.868646917843509 3733.121403185930376 0.876565075183236 3734.365984405672407 0.883137835845233 3735.610980554972684 0.889721369485029 3736.856391772159441 0.897261536555883 3738.102218195619571 0.906665891161691 3739.348459963774076 0.915739318821501 3740.595117215095343 0.925697146550844 3741.842190088095776 0.936179717654052 3743.089678721347354 0.946338181222865 3744.337583253456160 0.955753710741338 3745.585903823078297 0.964478991330885 3746.834640568911254 0.971347007180741 3748.083793629712545 0.977346751243612 3749.333363144272425 0.982098786177391 3750.583349251432082 0.984480592004689 3751.833752090074995 0.984584209126078 3753.084571799142395 0.985002631878048 3754.335808517610531 0.983448983852494 3755.587462384505670 0.976397463153487 3756.839533538896831 0.966533096027413 3758.092022119910325 0.957613442756501 3759.344928266707939 0.950013749261638 3760.598252118501932 0.940365102273798 3761.851993814545494 0.927107180623659 3763.106153494152295 0.913422030550022 3764.360731296668291 0.897504319448461 3765.615727361492191 0.879738535561029 3766.871141828063173 0.862442136731188 3768.126974835879992 0.847777998667457 3769.383226524475504 0.834191931471561 3770.639897033433954 0.819538556723755 3771.896986502384152 0.804531077160146 3773.154495070999928 0.790559884153168 3774.412422879011956 0.778759443347147 3775.670770066185469 0.768665212065740 3776.929536772337542 0.759147285069492 3778.188723137327088 0.749332775458523 3779.448329301071681 0.739966267086707 3780.708355403523001 0.730977974142145 3781.968801584684570 0.721788881536182 3783.229667984601747 0.712831952887330 3784.490954743379007 0.704691896867045 3785.752662001154931 0.697132619265805 3787.014789898119034 0.688850498182177 3788.277338574504938 0.680388475304745 3789.540308170602202 0.672862314473244 3790.803698826738128 0.666105675477274 3792.067510683288674 0.659461730812948 3793.331743880673912 0.653234606170343 3794.596398559371664 0.648242308561444 3795.861474859895679 0.643609103651486 3797.126972922809273 0.638441638961359 3798.392892888720326 0.632524391379107 3799.659234898293562 0.626995694012465 3800.925999092230086 0.622528639668236 3802.193185611281933 0.618962810998439 3803.460794596243431 0.615783129249521 3804.728826187967115 0.612999438852034 3805.997280527342355 0.610607489770256 3807.266157755308086 0.608923396663090 3808.535458012850995 0.608292859108354 3809.805181441000514 0.609356086329915 3811.075328180844281 0.612441310082872 3812.345898373506316 0.616270210047789 3813.616892160161115 0.620186522167063 3814.888309682026375 0.624326976324452 3816.160151080378000 0.628927224301026 3817.432416496528276 0.634119855504478 3818.705106071839509 0.639405196913854 3819.978219947718571 0.643992528545358 3821.251758265629633 0.648641106010802 3822.525721167073243 0.653714832186501 3823.800108793601339 0.659636518052619 3825.074921286807694 0.666301698939081 3826.350158788347017 0.673752783835371 3827.625821439907668 0.683212487991776 3828.901909383230304 0.692854472874111 3830.178422760098329 0.703271788914433 3831.455361712354261 0.714497717146233 3832.732726381877001 0.726962753059037 3834.010516910595015 0.740938578606247 3835.288733440482247 0.755999401987511 3836.567376113569480 0.771627628862819 3837.846445071924791 0.788100904636707 3839.125940457666729 0.803680574798426 3840.405862412957504 0.819238528697380 3841.686211080018893 0.835460954104962 3842.966986601107692 0.851610007081763 3844.248189118532537 0.867375587428918 3845.529818774644809 0.882070424730673 3846.811875711855919 0.896167686398655 3848.094360072612744 0.908490580850990 3849.377271999413551 0.919302813075616 3850.660611634803900 0.929331024769849 3851.944379121373458 0.939785984249441 3853.228574601771015 0.950431951815009 3854.513198218680827 0.960382874460530 3855.798250114838538 0.970464326497633 3857.083730433024357 0.980704479218463 3858.369639316077155 0.990641388697965 3859.655976906871274 1.000663006422110 3860.942743348333806 1.010769338545246 3862.229938783434136 1.020819335626541 3863.517563355202583 1.030544864082730 3864.805617206704028 1.039351455227460 3866.094100481055648 1.048150509789173 3867.383013321418730 1.057518701663478 3868.672355871013679 1.066620312804277 3869.962128273095914 1.074466049887727 3871.252330670974516 1.081695665964350 3872.542963208001311 1.089575889408392 3873.834026027587242 1.098700541855733 3875.125519273180089 1.107770439147216 3876.417443088279015 1.116215091134491 3877.709797616427295 1.123400668870859 3879.002583001227322 1.128356465990151 3880.295799386318777 1.132004692503170 3881.589446915391818 1.135806574530012 3882.883525732181170 1.139829871604918 3884.178035980481582 1.144587491732132 3885.472977804122820 1.148392379164438 3886.768351346988311 1.150544761994825 3888.064156753007865 1.152026947337304 3889.360394166155857 1.154781793366134 3890.657063730466689 1.158892731956658 3891.954165590010689 1.163136549590073 3893.251699888910480 1.167451264982410 3894.549666771332795 1.172834549052337 3895.848066381503486 1.176689980115130 3897.146898863686147 1.179840252791932 3898.446164362194395 1.184979511954790 3899.745863021387777 1.192215438477134 3901.045994985684956 1.199286308550212 3902.346560399540977 1.204762701038212 3903.647559407463632 1.210866129445621 3904.948992154003918 1.217999376457313 3906.250858783773310 1.224687277663148 3907.553159441420121 1.231245344969517 3908.855894271644502 1.238397247617148 3910.159063419190261 1.245759198933348 3911.462667028862143 1.252506679723955 3912.766705245500816 1.257630577824270 3914.071178214000156 1.262582147145797 3915.376086079296783 1.268796122514163 3916.681428986388710 1.276514309887353 3917.987207080310327 1.285519228584329 3919.293420506147868 1.296730116101386 3920.600069409032130 1.309799258023779 3921.907153934154394 1.322328961836587 3923.214674226741863 1.333004786941442 3924.522630432075402 1.343582897035897 3925.831022695479078 1.353331444750505 3927.139851162337436 1.361625629254030 3928.449115978072314 1.367558427783752 3929.758817288157388 1.370796778387910 3931.068955238115450 1.372471974828300 3932.379529973512490 1.373695035057676 3933.690541639976800 1.375451543311457 3935.001990383171687 1.378565239161323 3936.313876348814574 1.383256139755150 3937.626199682665629 1.389799392576740 3938.938960530546865 1.397007486104709 3940.252159038316677 1.403457589280956 3941.565795351886209 1.408629376857203 3942.879869617210261 1.411784479099589 3944.194381980306389 1.412322686684145 3945.509332587226254 1.410923743490180 3946.824721584076542 1.407454365649267 3948.140549117006685 1.400986950371452 3949.456815332227961 1.391836150310281 3950.773520375988937 1.382727923257255 3952.090664394589112 1.375712513747167 3953.408247534374368 1.370132769937879 3954.726269941750616 1.365208832352524 3956.044731763161053 1.360567804446895 3957.363633145101630 1.354446079995940 3958.682974234111953 1.348311102309537 3960.002755176794835 1.343324059401185 3961.322976119787654 1.338892063375601 3962.643637209781900 1.332147983021428 3963.964738593513630 1.321856523484049 3965.286280417779835 1.310094019811386 3966.608262829414798 1.299605300499788 3967.930685975305096 1.290733185705761 3969.253550002383236 1.282979870191288 3970.576855057641296 1.275323870390391 3971.900601288109556 1.267543696375042 3973.224788840871042 1.261049731011525 3974.549417863057442 1.256827176052735 3975.874488501846372 1.253833183242211 3977.200000904475019 1.250601795404142 3978.525955218219224 1.246244696096325 3979.852351590406670 1.240763671094241 3981.179190168411424 1.235082971298681 3982.506471099667124 1.228974516984078 3983.834194531646517 1.222714043288055 3985.162360611873282 1.217217272970617 3986.490969487918392 1.213130282909297 3987.820021307412389 1.210243435038662 3989.149516218024473 1.208007176541031 3990.479454367475228 1.206262647814413 3991.809835903532530 1.205112990282271 3993.140660974023831 1.205111339807617 3994.471929726815233 1.206096872442465 3995.803642309824681 1.207506949785179 3997.135798871016959 1.208695174063930 3998.468399558417332 1.209285648382889 3999.801444520088353 1.209976224686224 4001.134933904146237 1.212012584022321 4002.468867858752674 1.215465090558465 4003.803246532129833 1.218913908687832 4005.138070072538994 1.222467577259186 4006.473338628293277 1.227741162341665 4007.809052347751731 1.234755122861914 4009.145211379335251 1.241838009365166 4010.481815871502022 1.248127959077949 4011.818865972763888 1.254318618442644 4013.156361831681352 1.260544895329630 4014.494303596861300 1.266499798586765 4015.832691416972011 1.272762955889941 4017.171525440719506 1.278965038446859 4018.510805816862558 1.284055264578270 4019.850532694206322 1.288133538938254 4021.190706221617802 1.292460364393415 4022.531326548000379 1.297491863500762 4023.872393822312461 1.302590865955815 4025.213908193557472 1.307558532335013 4026.555869810800232 1.312439649911920 4027.898278823143755 1.316972367662821 4029.241135379744719 1.320878808860003 4030.584439629805274 1.325238845182315 4031.928191722589418 1.331478763373003 4033.272391807399345 1.338569608053409 4034.617040033590001 1.346843376528248 4035.962136550562718 1.352171214082412 4037.307681507781581 1.359089507621615 4038.653675054746600 1.364411550344813 4040.000117341013265 1.368797534821759 4041.347008516181631 1.373861695903891 4042.694348729914964 1.379866905744933 4044.042138131913362 1.385000087617125 4045.390376871931494 1.388879030435264 4046.739065099769050 1.392741690552260 4048.088202965288929 1.396579908252885 4049.437790618390864 1.399198014114066 4050.787828209029612 1.402125010517610 4052.138315887204499 1.406020240582892 4053.489253802978510 1.410438214398823 4054.840642106451469 1.414854071880326 4056.192480947778222 1.418889728520299 4057.544770477161819 1.422794343664809 4058.897510844853969 1.425907533924006 4060.250702201166405 1.427422049803260 4061.604344696449971 1.428134206860647 4062.958438481109170 1.428976291604243 4064.312983705594888 1.429415064167649 4065.667980520420770 1.429795914838876 4067.023429076137290 1.429269433462539 4068.379329523350407 1.426767055544375 4069.735682012711095 1.422807095263075 4071.092486694933541 1.418736113606524 4072.449743720770130 1.415541529850923 4073.807453241026906 1.413286921924246 4075.165615406555844 1.411797430868553 4076.524230368273038 1.410568912483236 4077.883298277130962 1.408928312856225 4079.242819284137113 1.406923103363925 4080.602793540345829 1.404906889231846 4081.963221196873292 1.403490546053169 4083.324102404873884 1.403151518344844 4084.685437315556555 1.402973420740713 4086.047226080177097 1.402380100046741 4087.409468850052690 1.402580927947532 4088.772165776540987 1.402964570915334 4090.135317011051484 1.402092983662722 4091.498922705041423 1.400627460081384 4092.862983010031712 1.398809737889208 4094.227498077579185 1.396843252375019 4095.592468059297971 1.395466017825292 4096.957893106846313 1.393328879248506 4098.323773371947027 1.389484122063753 4099.690109006359307 1.384348985609389 4101.056900161899648 1.377639327854228 4102.424146990432746 1.370214515792687 4103.791849643871501 1.363078129135312 4105.160008274190659 1.355792827804080 4106.528623033404074 1.347970560383923 4107.897694073580169 1.339445410917522 4109.267221546832843 1.330011880232655 4110.637205605340569 1.320817649290706 4112.007646401320017 1.313431079422025 4113.378544087042428 1.307258016790105 4114.749898814825428 1.301791733999231 4116.121710737049398 1.296984318377752 4117.493980006134734 1.292599195553115 4118.866706774555496 1.288585127514789 4120.239891194832126 1.286431128182397 4121.613533419550549 1.286095386340373 4122.987633601332163 1.285875782220216 4124.362191892854753 1.285137345039756 4125.737208446842487 1.284209375624049 4127.112683416085019 1.283649882503534 4128.488616953407472 1.283038643177186 4129.865009211691358 1.281744634433224 4131.241860343865483 1.280049294315534 4132.619170502922316 1.278637788863140 4133.996939841889798 1.276471821944144 4135.375168513855897 1.273360574972792 4136.753856671951326 1.270118085394460 4138.133004469372281 1.266931219403653 4139.512612059354069 1.263309086374194 4140.892679595185655 1.259169138079437 4142.273207230208754 1.255445871923633 4143.654195117809650 1.252685632594479 4145.035643411441015 1.250937303065508 4146.417552264592814 1.248977010644024 4147.799921830809581 1.246879439209112 4149.182752263684961 1.245665844422912 4150.566043716874447 1.245431080347674 4151.949796344072638 1.245710896468206 4153.334010299031434 1.246325108223433 4154.718685735546387 1.246836929860137 4156.103822807478537 1.246890521105998 4157.489421668729847 1.246378974271244 4158.875482473254124 1.244646625154088 4160.262005375053377 1.241783187827398 4161.648990528196009 1.238804095348460 4163.036438086785893 1.235592516830867 4164.424348204985108 1.231659342635852 4165.812721037000301 1.227028929569439 4167.201556737103601 1.221627499819515 4168.590855459607155 1.215835761720045 4169.980617358876771 1.209798239927025 4171.370842589325548 1.203435557137027 4172.761531305432072 1.197759275639258 4174.152683661713127 1.193130454653477 4175.544299812741883 1.188581932501640 4176.936379913136079 1.183173027750297 4178.328924117581664 1.176212557600010 4179.721932580800967 1.168379493584643 4181.115405457572706 1.160575438427832 4182.509342902722892 1.153640076142755 4183.903745071141202 1.147230639970517 4185.298612117758239 1.140499545655862 4186.693944197559176 1.132651518586352 4188.089741465580119 1.123688837532806 4189.486004076905374 1.113968866936170 4190.882732186684734 1.105097102064734 4192.279925950104371 1.097780724119103 4193.677585522409572 1.091430637372069 4195.075711058891102 1.085323571139117 4196.474302714904297 1.078334251697876 4197.873360645844514 1.071669227141168 4199.272885007162586 1.066649654729328 4200.672875954356641 1.062037011297750 4202.073333642990292 1.057915144984569 4203.474258228665349 1.054012879341024 4204.875649867039101 1.049461260150865 4206.277508713819770 1.044230387480394 4207.679834924775605 1.038291830663947 4209.082628655718509 1.031878619627888 4210.485890062512226 1.025557350644865 4211.889619301072344 1.018908949432553 4213.293816527376293 1.012700136115398 4214.698481897441525 1.006989274927661 4216.103615567342786 1.000853016608359 4217.509217693202118 0.995286176404833 4218.915288431204317 0.991157592354342 4220.321827937576927 0.987582096822416 4221.728836368601151 0.983836729753755 4223.136313880607304 0.979770186910096 4224.544260629990276 0.975650311577509 4225.952676773184066 0.971438927031023 4227.361562466679970 0.967278706903622 4228.770917867020216 0.963573926885495 4230.180743130796145 0.960371730884308 4231.591038414662762 0.957515083245331 4233.001803875316000 0.953601714946110 4234.413039669508180 0.949559338699542 4235.824745954037098 0.945756044981112 4237.236922885768763 0.942252131475763 4238.649570621608291 0.938026097475692 4240.062689318514458 0.933272383788937 4241.476279133497883 0.928553272195223 4242.890340223631938 0.923901977789042 4244.304872746030014 0.918893014950318 4245.719876857863710 0.913731773558634 4247.135352716350098 0.909550308103235 4248.551300478772646 0.905729893483864 4249.967720302455746 0.901747163135771 4251.384612344778361 0.897336907122667 4252.801976763169478 0.893696475734561 4254.219813715121745 0.888532176992090 4255.638123358169651 0.881488056969338 4257.056905849901341 0.874696742034528 4258.476161347956804 0.868236981186325 4259.895890010038784 0.861935087458327 4261.316091993890041 0.855353084497404 4262.736767457312453 0.848701750931308 4264.157916558152465 0.843395282145918 4265.579539454325641 0.838333806207555 4267.001636303785745 0.834097799525194 4268.424207264542929 0.832094214538944 4269.847252494656459 0.831126631456409 4271.270772152251084 0.829523291686642 4272.694766395491570 0.827360995626881 4274.119235382599982 0.825269353423757 4275.544179271849316 0.823956284917136 4276.969598221563501 0.823202262939479 4278.395492390130130 0.822248446527296 4279.821861935978632 0.821096907426973 4281.248707017593915 0.819399141513993 4282.676027793509093 0.817194558285297 4284.103824422326397 0.815471635835598 4285.532097062683533 0.815298142203352 4286.960845873278231 0.816285066428796 4288.390071012855515 0.817722774479966 4289.819772640227711 0.819517075411656 4291.249950914245346 0.821922166779965 4292.680605993817153 0.825964525273603 4294.111738037900977 0.831016039330598 4295.543347205521059 0.836389488100671 4296.975433655738925 0.842494335867834 4298.407997547676132 0.848519013127135 4299.841039040501528 0.853976719823009 4301.274558293451264 0.859371656947882 4302.708555465801510 0.865339865677080 4304.143030716883914 0.871443565311849 4305.577984206081055 0.876586551845582 4307.013416092840998 0.881255597836603 4308.449326536651824 0.886659429517168 4309.885715697058913 0.892691231813177 4311.322583733655847 0.897964379496768 4312.759930806104421 0.902026258265818 4314.197757074106448 0.906024296047730 4315.636062697418311 0.910092736517004 4317.074847835848232 0.913411586187863 4318.514112649269919 0.916587091371754 4319.953857297598006 0.920588049171810 4321.394081940803517 0.923594769334649 4322.834786738911134 0.925806697990856 4324.275971851995564 0.928667598765536 4325.717637440196995 0.932739358975292 4327.159783663694725 0.937968201579049 4328.602410682729897 0.943100022888321 4330.045518657587309 0.948499728420948 4331.489107748622700 0.954616773881938 4332.933178116230920 0.960772890198648 4334.377729920862294 0.967668164965403 4335.822763323019899 0.975034756675420 4337.268278483270478 0.982042651527576 4338.714275562223520 0.989421488009585 4340.160754720545810 0.997105394726871 4341.607716118950520 1.004763688592054 4343.055159918222671 1.012190631043323 4344.503086279182753 1.019180307203095 4345.951495362713104 1.025952221187877 4347.400387329743353 1.032455398222640 4348.849762341269525 1.038365795437433 4350.299620558328570 1.044459594483242 4351.749962142017466 1.050995330157568 4353.200787253479575 1.057117377981702 4354.652096053927380 1.062246114465780 4356.103888704612473 1.066779600995059 4357.556165366844652 1.071635846263517 4359.008926201984650 1.076433237614606 4360.462171371458680 1.080677642867627 4361.915901036734795 1.085772476608848 4363.370115359336523 1.091570569114795 4364.824814500844695 1.096108225202640 4366.279998622888343 1.099429333777624 4367.735667887162890 1.102475517686062 4369.191822455404690 1.106097959613983 4370.648462489409212 1.109199285908520 4372.105588151020129 1.111467065015166 4373.563199602150235 1.112604535779984 4375.021297004752341 1.112252045533956 4376.479880520835650 1.111047207986412 4377.938950312460292 1.109130802491806 4379.398506541756433 1.105471592809669 4380.858549370890614 1.100362355257127 4382.319078962090316 1.094808272567854 4383.780095477632130 1.088181488197253 4385.241599079860862 1.080112053504562 4386.703589931160423 1.072199799080030 4388.166068193973842 1.064126236270952 4389.629034030795083 1.054502153518496 4391.092487604185408 1.043721466447922 4392.556429076744280 1.033818368087542 4394.020858611133917 1.025214639686123 4395.485776370063832 1.015762454185524 4396.951182516310837 1.006120240282161 4398.417077212693584 0.997545624291891 4399.883460622088933 0.988452119444754 4401.350332907425582 0.978961386461527 4402.817694231695896 0.970667102231941 4404.285544757937714 0.963825494706144 4405.753884649244355 0.957131238868978 4407.222714068760069 0.950461230499084 4408.692033179698228 0.944087138328924 4410.161842145310402 0.938373230965110 4411.632141128910007 0.933046710114864 4413.102930293863210 0.928457505869344 4414.574209803586200 0.924882974586217 4416.045979821564288 0.921929180356296 4417.518240511321892 0.919850147365557 4418.990992036444368 0.918670161235277 4420.464234560566183 0.918014835482246 4421.937968247389108 0.918957657068173 4423.412193260658569 0.921293306868055 4424.886909764175471 0.924605649326122 4426.362117921793470 0.929075256359121 4427.837817897434434 0.934651939085240 4429.314009855059339 0.940969910820202 4430.790693958689189 0.946974319732335 4432.267870372396828 0.953759799439476 4433.745539260321493 0.962173943393847 4435.223700786643349 0.970692308685566 4436.702355115603496 0.979118973337176 4438.181502411492147 0.988036090031386 4439.661142838667729 0.996745629751489 4441.141276561530503 1.005683919350611 4442.621903744539850 1.015091617388704 4444.103024552205170 1.025055826260132 4445.584639149104987 1.034649016500779 4447.066747699857842 1.043587165041331 4448.549350369142303 1.051812011912564 4450.032447321687869 1.060113192316515 4451.516038722293160 1.067623568953949 4453.000124735795907 1.075131820916299 4454.484705527094775 1.081771039747232 4455.969781261138451 1.087238208628667 4457.455352102944744 1.092362354395932 4458.941418217572391 1.097069661111037 4460.427979770141064 1.100621383409481 4461.915036925822278 1.104601459453057 4463.402589849841206 1.108519802337643 4464.890638707490325 1.112252117545336 4466.379183664103948 1.115775888239022 4467.868224885075506 1.119410331091384 4469.357762535850270 1.122055168602810 4470.847796781940815 1.123095075020790 4472.338327788902461 1.125279630851237 4473.829355722349646 1.128455689960973 4475.320880747947740 1.130916567206333 4476.812903031430324 1.132261104545552 4478.305422738573725 1.133441487950515 4479.798440035212479 1.133885479258538 4481.291955087233873 1.134038095438263 4482.785968060593405 1.135299183341376 4484.280479121286589 1.138814065823737 4485.775488435370789 1.141745842400820 4487.270996168954298 1.143675970557050 4488.767002488212711 1.145740856592733 4490.263507559365280 1.147405312058156 4491.760511548690374 1.149270567861407 4493.258014622516384 1.151959181718377 4494.756016947241733 1.154234894726411 4496.254518689307588 1.155880342414721 4497.753520015212416 1.157016763797756 4499.253021091509254 1.158144730575487 4500.753022084817530 1.158356808488724 4502.253523161799421 1.157884825868628 4503.754524489178038 1.157501932118912 4505.256026233730154 1.157384863753181 4506.758028562285290 1.157476629428504 4508.260531641741181 1.157335885337442 4509.763535639039219 1.157035053161755 4511.267040721179001 1.156592775604561 4512.771047055211966 1.155081069053929 4514.275554808260495 1.153132884596082 4515.780564147485165 1.151591312175062 4517.286075240111131 1.150913843123292 4518.792088253411748 1.150753505410033 4520.298603354732222 1.150202187606098 4521.805620711456868 1.148977177190891 4523.313140491032755 1.147508238776181 4524.821162860958793 1.146430074793619 4526.329687988800288 1.145857266671622 4527.838716042167107 1.145498539242408 4529.348247188730056 1.145560135118424 4530.858281596208144 1.145237943166052 4532.368819432394957 1.144985880188593 4533.879860865120463 1.145188437294403 4535.391406062281021 1.145027258931257 4536.903455191819376 1.144915856175254 4538.416008421751030 1.145571234325407 4539.929065920132416 1.145859053108898 4541.442627855081810 1.146232559598672 4542.956694394767510 1.147684546983466 4544.471265707428756 1.149519436386723 4545.986341961345715 1.151491932452777 4547.501923324861309 1.153319926570787 4549.018009966368481 1.155509088711450 4550.534602054330207 1.158329419798561 4552.051699757253118 1.160560059792934 4553.569303243702961 1.162236158166255 4555.087412682301874 1.164478832273438 4556.606028241723834 1.166567852792113 4558.125150090714669 1.167697451055578 4559.644778398060225 1.167996762390459 4561.164913332607284 1.168857352069546 4562.685555063256288 1.170324861596348 4564.206703758976801 1.171563086019370 4565.728359588779313 1.173263045458869 4567.250522721738889 1.176283482848488 4568.773193326977889 1.179821131159986 4570.296371573692340 1.182182893751150 4571.820057631119198 1.184452316222394 4573.344251668557263 1.187029118165646 4574.868953855356267 1.189558213950578 4576.394164360937793 1.192236828652371 4577.919883354765261 1.195007956026608 4579.446111006361207 1.196661173365748 4580.972847485303646 1.197183315916928 4582.500092961237897 1.197067211466221 4584.027847603853843 1.196636681624082 4585.556111582902304 1.195939277983660 4587.084885068185031 1.195499840410933 4588.614168229575625 1.195749635203996 4590.143961236989526 1.195257060469898 4591.674264260404016 1.193699427240061 4593.205077469848220 1.192857959686241 4594.736401035421295 1.193179957514487 4596.268235127266053 1.194112487460351 4597.800579915586241 1.195558816664416 4599.333435570641996 1.197160223936074 4600.866802262746205 1.199088185018375 4602.400680162281787 1.201107226683838 4603.935069439676226 1.202439114089844 4605.469970265416123 1.203801269236974 4607.005382810041738 1.203942121025396 4608.541307244163363 1.202009155571929 4610.077743738435856 1.199390267746458 4611.614692463572283 1.196411046128467 4613.152153590342095 1.192130356797870 4614.690127289582961 1.186849517930869 4616.228613732176200 1.180917420614096 4617.767613089064071 1.174380634098980 4619.307125531242491 1.167011548999808 4620.847151229777410 1.159116700469071 4622.387690355778432 1.151472150476645 4623.928743080417007 1.142989126717174 4625.470309574915518 1.133740550155393 4627.012390010569106 1.124644040055629 4628.554984558714750 1.116020450691743 4630.098093390753093 1.107089593896378 4631.641716678134799 1.097583007200261 4633.185854592383293 1.088237719846106 4634.730507305064748 1.079261646576760 4636.275674987808088 1.070665783514758 4637.821357812292263 1.062685490125737 4639.367555950270798 1.054915443936065 4640.914269573537240 1.047040654915013 4642.461498853950616 1.039370405124506 4644.009243963419067 1.032212893710962 4645.557505073923494 1.025829886949827 4647.106282357489363 1.020034237325690 4648.655575986203075 1.015262849542234 4650.205386132207423 1.011289150966407 4651.755712967698855 1.007023983303194 4653.306556664945674 1.003039088884521 4654.857917396258927 1.000634086564115 4656.409795334012415 0.999748820580925 4657.962190650632692 0.999507928998416 4659.515103518616343 0.999692559409192 4661.068534110505425 1.000385652687903 4662.622482598902934 1.001236512522193 4664.176949156465525 1.002115088088891 4665.731933955920795 1.003858043058481 4667.287437170039993 1.006535244086890 4668.843458971657128 1.009424723386725 4670.399999533658956 1.012262586028796 4671.957059029003176 1.014368861175075 4673.514637630692050 1.016401785597536 4675.072735511790597 1.019268640864839 4676.631352845414767 1.022526912304920 4678.190489804754179 1.026248952070157 4679.750146563042108 1.029588345681501 4681.310323293572765 1.032453133201926 4682.871020169695839 1.035395769773827 4684.432237364830144 1.038471083951207 4685.993975052440874 1.041883173970555 4687.556233406052343 1.045816262140356 4689.119012599246162 1.049596470394905 4690.682312805673064 1.052670483404717 4692.246134199029257 1.054728208037422 4693.810476953070975 1.056509728818269 4695.375341241609931 1.058400438657942 4696.940727238530599 1.060001981876655 4698.506635117758378 1.061745165803444 4700.073065053284154 1.062245119821092 4701.640017219155197 1.061050373469144 4703.207491789472442 1.059217676689862 4704.775488938410490 1.056583213416890 4706.344008840183960 1.053241879530890 4707.913051669075685 1.049424546497070 4709.482617599416699 1.045318742542632 4711.052706805614434 1.041388516346540 4712.623319462117252 1.036432635642972 4714.194455743438084 1.030260131924782 4715.766115824143526 1.024535445368220 4717.338299878871112 1.019230244218429 4718.911008082303852 1.013685852704332 4720.484240609186600 1.008662618455257 4722.057997634318781 1.004327593628719 4723.632279332570761 0.999936957647810 4725.207085878859289 0.994793863312401 4726.782417448162050 0.989987272655210 4728.358274215510392 0.985899770384967 4729.934656356011146 0.981946841256086 4731.511564044811166 0.977573681691970 4733.088997457123696 0.973367214637260 4734.666956768213822 0.969642525755188 4736.245442153419390 0.965622989657873 4737.824453788123719 0.961979152253414 4739.403991847771977 0.958757485792105 4740.984056507863897 0.956189658997063 4742.564647943971977 0.954237810310636 4744.145766331712366 0.952940184179993 4745.727411846764880 0.952036779561862 4747.309584664868453 0.952008786086764 4748.892284961814767 0.952502579860480 4750.475512913469174 0.954024311491046 4752.059268695740684 0.955885532023579 4753.643552484602878 0.958518818420206 4755.228364456081181 0.961727524150968 4756.813704786277412 0.964904157302329 4758.399573651334322 0.968095777044643 4759.985971227459231 0.971703237176338 4761.572897690914942 0.975888020666025 4763.160353218036107 0.980053648780236 4764.748337985201033 0.984025822734507 4766.336852168852602 0.988106047881988 4767.925895945487355 0.992567052550040 4769.515469491676413 0.996195039169955 4771.105572984033643 0.999787713304885 4772.696206599237485 1.003761069163091 4774.287370514020040 1.008666181448266 4775.879064905186169 1.013489769297812 4777.471289949587117 1.017488394378528 4779.064045824135974 1.021357840484447 4780.657332705801309 1.024961554710233 4782.251150771624452 1.028357566700531 4783.845500198692207 1.032230008510200 4785.440381164153223 1.035722104174415 4787.035793845211629 1.036852366441760 4788.631738419146131 1.036883922150162 4790.228215063279094 1.036582502079752 4791.825223954996545 1.035803815628598 4793.422765271738172 1.035026311616906 4795.020839191019149 1.033702545165168 4796.619445890399220 1.030868941772700 4798.218585547499970 1.027211714521160 4799.818258340003922 1.023052612162154 4801.418464445647260 1.018738865250740 4803.019204042241654 1.014065332775921 4804.620477307641522 1.008195739414844 4806.222284419765856 1.001731797193275 4807.824625556588217 0.994770543719256 4809.427500896156744 0.986614690606449 4811.030910616563233 0.977870157968672 4812.634854895964963 0.968528194514874 4814.239333912573784 0.959823608319986 4815.844347844673393 0.951570722901394 4817.449896870593875 0.942866207227903 4819.055981168730796 0.934654877069902 4820.662600917531563 0.926646820638849 4822.269756295520892 0.917296214066002 4823.877447481265335 0.907527653495088 4825.485674653397837 0.898493332955505 4827.094437990605002 0.890517959553330 4828.703737671648923 0.881405520082836 4830.313573875335351 0.871110497735601 4831.923946780535516 0.861550658419235 4833.534856566173403 0.852404277879476 4835.146303411250301 0.842969149963683 4836.758287494810247 0.834250065811588 4838.370808995962761 0.827155485368878 4839.983868093871024 0.821093570934452 4841.597464967775522 0.814443971980755 4843.211599796958581 0.807710765997032 4844.826272760768916 0.802333497028343 4846.441484038608905 0.797931854608128 4848.057233809957324 0.794481167403262 4849.673522254337513 0.791953211386274 4851.290349551335567 0.789829322489877 4852.907715880599426 0.787693466859132 4854.525621421832511 0.786043166058940 4856.144066354811002 0.784867003559489 4857.763050859357463 0.785101907107755 4859.382575115358122 0.786155251021283 4861.002639302757416 0.786964385912164 4862.623243601569811 0.787705729146518 4864.244388191859798 0.788552777713074 4865.866073253752802 0.789905199411781 4867.488298967431547 0.792067160596038 4869.111065513154244 0.795143348189592 4870.734373071221853 0.798117644224653 4872.358221822003543 0.800690146513882 4873.982611945920326 0.803176791838239 4875.607543623470519 0.806034955777007 4877.233017035197918 0.808428112346611 4878.859032361709069 0.811071088731019 4880.485589783668729 0.813475713295536 4882.112689481815323 0.814340998475900 4883.740331636932751 0.814454944743059 4885.368516429868578 0.814505941048659 4886.997244041529484 0.814090656140042 4888.626514652894002 0.813663383083393 4890.256328444987048 0.813551035111483 4891.886685598899930 0.812850402863755 4893.517586295777619 0.811366737171189 4895.149030716841480 0.810078446707827 4896.781019043358356 0.809715049496659 4898.413551456660571 0.809632677279300 4900.046628138139567 0.809793422263804 4901.680249269244086 0.810131126118462 4903.314415031497447 0.810930042453725 4904.949125606469352 0.811190474883316 4906.584381175793169 0.811605240901550 4908.220181921158655 0.813145671373957 4909.856528024332874 0.815526331213920 4911.493419667126545 0.817510282720707 4913.130857031415871 0.819525595802844 4914.768840299133444 0.821769522050783 4916.407369652289162 0.824154317323025 4918.046445272933852 0.826858729799334 4919.686067343190189 0.830795168114663 4921.326236045230871 0.835325306149138 4922.966951561307724 0.839483187481387 4924.608214073718045 0.842025035777987 4926.250023764823709 0.843311287034903 4927.892380817042977 0.844150473695111 4929.535285412870508 0.844271729728387 4931.178737734846436 0.842770132533612 4932.822737965575470 0.841996824523517 4934.467286287719617 0.840035005325807 4936.112382884017279 0.836266969571789 4937.758027937250517 0.831884691127828 4939.404221630271422 0.828081581326910 4941.050964145982107 0.825204134941533 4942.698255667366539 0.822483851542452 4944.346096377450522 0.819612728228813 4945.994486459328073 0.817042118658942 4947.643426096148687 0.815001834247691 4949.292915471138258 0.813090792606382 4950.942954767568153 0.811475258460595 4952.593544168775225 0.809900872986464 4954.244683858159988 0.808444687932399 4955.896374019174800 0.806695028399504 4957.548614835353874 0.804830324163086 4959.201406490272348 0.803602977446149 4960.854749167574482 0.802350614182757 4962.508643050960018 0.800816464604328 4964.163088324204182 0.799457029513391 4965.818085171131315 0.798174526681354 4967.473633775627604 0.797631324659950 4969.129734321639262 0.798006163506141 4970.786386993186170 0.798908396556841 4972.443591974338233 0.800461086276867 4974.101349449227200 0.802313718918565 4975.759659602043030 0.804694493955629 4977.418522617054805 0.808139839123490 4979.077938678573446 0.811662269492040 4980.737907970979904 0.815571936995583 4982.398430678708792 0.820475575525200 4984.059506986273846 0.825566813963581 4985.721137078233369 0.831028737043107 4987.383321139213876 0.836563146798062 4989.046059353896453 0.842269847758174 4990.709351907040400 0.847841430842525 4992.373198983450493 0.852846828645351 4994.037600767998811 0.857916794891954 4995.702557445614730 0.863307379001834 4997.368069201302205 0.867746946579603 4999.034136220114306 0.871612007150858 5000.700758687167763 0.875111538539992 5002.367936787644794 0.877655395186890 5004.035670706781275 0.879872761927140 5005.703960629891299 0.881882647517743 5007.372806742336252 0.884394873570185 5009.042209229542095 0.887507257976429 5010.712168276992998 0.890395089617691 5012.382684070251344 0.893015913785908 5014.053756794924084 0.895754288268897 5015.725386636685471 0.898575134983357 5017.397573781267965 0.901557530998487 5019.070318414480425 0.904916969934642 5020.743620722177184 0.908763813039602 5022.417480890281695 0.913171720990194 5024.091899104772892 0.917888617127289 5025.766875551708836 0.923255947195522 5027.442410417190331 0.928616106802207 5029.118503887390034 0.934644211119100 5030.795156148533351 0.940979262128013 5032.472367386927544 0.946283094437081 5034.150137788923530 0.951819457780597 5035.828467540939528 0.957236779098986 5037.507356829451965 0.961763077855566 5039.186805841014575 0.965562241646103 5040.866814762227477 0.968840306026477 5042.547383779758093 0.971489916110247 5044.228513080332050 0.974690891453929 5045.910202850750466 0.977493601914109 5047.592453277863569 0.980622793389795 5049.275264548587074 0.984256296660369 5050.958636849896720 0.987925237430455 5052.642570368841916 0.992219834213876 5054.327065292523002 0.996919472543244 5056.012121808105803 1.001539546305277 5057.697740102817988 1.006338976871860 5059.383920363945435 1.011390462726239 5061.070662778852238 1.016444465385607 5062.757967534949785 1.021840130630409 5064.445834819714946 1.028122488788188 5066.134264820683711 1.034923547568879 5067.823257725471194 1.040746847278737 5069.512813721736165 1.046452772965268 5071.202932997207427 1.052932457187989 5072.893615739671986 1.060037016325483 5074.584862136993252 1.066872993996042 5076.276672377081923 1.073011643245243 5077.969046647916912 1.078747274044009 5079.661985137535339 1.084415920617166 5081.355488034050722 1.089123714688958 5083.049555525626602 1.093611915477743 5084.744187800491090 1.099131217983314 5086.439385046932330 1.105310710695034 5088.135147453314858 1.110479274690153 5089.831475208053234 1.113960715693151 5091.528368499627504 1.117136952987026 5093.225827516575919 1.120905258811669 5094.923852447514946 1.123959956236630 5096.622443481110167 1.125859458839806 5098.321600806092647 1.128042435121297 5100.021324611253476 1.129498113485719 5101.721615085461053 1.129617020620971 5103.422472417631070 1.129239814940284 5105.123896796747431 1.128603141820234 5106.825888411852247 1.128652011528464 5108.528447452065848 1.127902341603207 5110.231574106557673 1.126213909276177 5111.935268564562648 1.124370885466742 5113.639531015380271 1.122358092458459 5115.344361648368249 1.119566449555941 5117.049760652962505 1.117614878899285 5118.755728218646254 1.115182956618787 5120.462264534971837 1.112581383981322 5122.169369791548888 1.110754253562740 5123.877044178067081 1.108178286938706 5125.585287884261561 1.106252676249637 5127.294101099937507 1.105145709263597 5129.003484014958303 1.104170277124242 5130.713436819265553 1.102764346973162 5132.423959702849061 1.101474713437789 5134.135052855766844 1.099924405953083 5135.846716468135128 1.098784361307540 5137.558950730148354 1.097378599977766 5139.271755832050985 1.096118260968744 5140.985131964152970 1.095430063943114 5142.699079316826101 1.094782634310036 5144.413598080518568 1.095011676441450 5146.128688445727676 1.096246208671252 5147.844350603018029 1.098120349932610 5149.560584743013351 1.100398732986400 5151.277391056418310 1.102688525799955 5152.994769733983048 1.104836743137836 5154.712720966526831 1.107215779606482 5156.431244944929858 1.110059330671668 5158.150341860147819 1.112900395087352 5159.870011903186423 1.115496887339302 5161.590255265120504 1.118016342007208 5163.311072137088559 1.119889202918398 5165.032462710287291 1.121954924661654 5166.754427175992532 1.124203090894089 5168.476965725527407 1.126137430556859 5170.200078550286889 1.128384380078290 5171.923765841721433 1.130803353804861 5173.648027791363347 1.132205550808104 5175.372864590790414 1.132991381165819 5177.098276431653176 1.133212607145143 5178.824263505657655 1.134501645231575 5180.550826004589908 1.135965576320451 5182.277964120286924 1.136859247248920 5184.005678044652086 1.138577681331422 5185.733967969646983 1.140724030062120 5187.462834087316878 1.142273969439875 5189.192276589750691 1.143683803542267 5190.922295669110099 1.145674044497987 5192.652891517613170 1.147185075776169 5194.384064327558917 1.146912429201883 5196.115814291295464 1.145764629629995 5197.848141601238240 1.144191465303561 5199.581046449864516 1.140867891956022 5201.314529029727964 1.136994192941532 5203.048589533434097 1.132198001256101 5204.783228153654818 1.125410533428488 5206.518445083123879 1.117390769108831 5208.254240514652338 1.109169250792506 5209.990614641102184 1.100907629448631 5211.727567655403618 1.091431664150283 5213.465099750545050 1.080590404990399 5215.203211119597654 1.069689982270270 5216.941901955678986 1.058620996762123 5218.681172451977545 1.046493770048714 5220.421022801744584 1.033548714320089 5222.161453198292293 1.020276009446206 5223.902463835011986 1.007016574589717 5225.644054905344092 0.993851311100166 5227.386226602799070 0.980511429838614 5229.128979120945587 0.967459090351980 5230.872312653434165 0.954503672782305 5232.616227393962617 0.940529784809613 5234.360723536299702 0.926612772828423 5236.105801274272380 0.914390090889320 5237.851460801789472 0.903284170014970 5239.597702312807087 0.891684102487528 5241.344526001354097 0.880559714156728 5243.091932061513944 0.870413583564988 5244.839920687454651 0.860699603868135 5246.588492073392445 0.851837280755748 5248.337646413612674 0.843753912811190 5250.087383902459806 0.836567510916544 5251.837704734360159 0.828936487025370 5253.588609103789167 0.821688648816420 5255.340097205291386 0.816121462711729 5257.092169233470486 0.811814296857906 5258.844825383013813 0.807266689752166 5260.598065848653277 0.802943927085418 5262.351890825193550 0.799305535678387 5264.106300507501146 0.796812888274767 5265.861295090518979 0.794979576273887 5267.616874769240894 0.794042665502948 5269.373039738733496 0.793545340304403 5271.129790194117959 0.793410043721962 5272.887126330601859 0.793207232180758 5274.645048343438248 0.792451030756149 5276.403556427952935 0.792255446604972 5278.162650779533578 0.792955400965713 5279.922331593632407 0.793690879563937 5281.682599065778049 0.794839633804954 5283.443453391550975 0.796250011267258 5285.204894766602592 0.797765145882331 5286.966923386642520 0.799781969927811 5288.729539447462230 0.801334696792573 5290.492743144902306 0.802356589595576 5292.256534674876093 0.803881294182390 5294.020914233353324 0.805450524768341 5295.785882016387404 0.806931317526605 5297.551438220079945 0.808433849499805 5299.317583040604404 0.809914170993183 5301.084316674194270 0.811763796080636 5302.851639317163063 0.814448685298706 5304.619551165875237 0.818146607988231 5306.388052416765277 0.822905774802043 5308.157143266328603 0.827599430421859 5309.926823911140673 0.832360732740038 5311.697094547826055 0.837728492074681 5313.467955373083896 0.843441820052490 5315.239406583670643 0.849770308578915 5317.011448376424596 0.856569180561402 5318.784080948233168 0.862942822353140 5320.557304496056531 0.869234498436554 5322.331119216913066 0.876190315972913 5324.105525307905737 0.883968045597401 5325.880522966184799 0.892586558160404 5327.656112388971451 0.901004218097998 5329.432293773553283 0.908392490256491 5331.209067317279732 0.915274639281259 5332.986433217579361 0.922349987179363 5334.764391671933481 0.929119104639317 5336.542942877891619 0.934852649767825 5338.322087033065145 0.940302986649849 5340.101824335149104 0.945680662060161 5341.882154981885833 0.949940808001100 5343.663079171088611 0.953088983011271 5345.444597100634383 0.956651746112060 5347.226708968479215 0.960676450578031 5349.009414972631930 0.963038565302538 5350.792715311167740 0.965108231582126 5352.576610182228251 0.967924499256560 5354.361099784034195 0.970215527306450 5356.146184314857237 0.972346576378623 5357.931863973039071 0.974579168514178 5359.718138956983239 0.977419169821457 5361.505009465176954 0.980595105943165 5363.292475696154725 0.983207675195446 5365.080537848523818 0.986090554363698 5366.869196120953347 0.988764254392584 5368.658450712192462 0.990941449994272 5370.448301821043060 0.992638516567325 5372.238749646377983 0.993554785093677 5374.029794387128277 0.994580244277468 5375.821436242312302 0.995683215432722 5377.613675410993892 0.995929985238881 5379.406512092312369 0.995296014780175 5381.199946485465262 0.995269717371404 5382.993978789734683 0.994990576797749 5384.788609204451859 0.994975298811522 5386.583837929018955 0.994205863142382 5388.379665162907258 0.993206600669114 5390.176091105648084 0.992249212212865 5391.973115956854599 0.990311577240310 5393.770739916189996 0.987214448874728 5395.568963183390224 0.983686777752845 5397.367785958253990 0.980230203285891 5399.167208440660943 0.976290001906201 5400.967230830539847 0.972322449538251 5402.767853327895864 0.966818900116408 5404.569076132790542 0.960617209545145 5406.370899445370924 0.954446831271590 5408.173323465834983 0.947106705467708 5409.976348394451634 0.939297077661747 5411.779974431551636 0.932197744887397 5413.584201777548515 0.925224823271424 5415.389030632906724 0.917390737456473 5417.194461198163481 0.909703336689587 5419.000493673915116 0.901192548688212 5420.807128260844365 0.893288726863236 5422.614365159682166 0.886501693598851 5424.422204571232214 0.879161717166703 5426.230646696361873 0.872211633900354 5428.039691736017630 0.865779090523338 5429.849339891201453 0.860044854486266 5431.659591362983520 0.854886381607733 5433.470446352497675 0.849896919738742 5435.281905060961435 0.844664891181930 5437.093967689643250 0.840200621149629 5438.906634439882509 0.835904651759388 5440.719905513086815 0.832325695031420 5442.533781110723794 0.830694870124467 5444.348261434349297 0.830061835681125 5446.163346685563738 0.830242306409917 5447.979037066045748 0.830542752170472 5449.795332777530348 0.831387928594019 5451.612234021842596 0.833556013045445 5453.429741000852118 0.836277080965223 5455.247853916505846 0.840621966042016 5457.066572970808920 0.846168829930855 5458.885898365853791 0.851728928314997 5460.705830303782932 0.856924319910285 5462.526368986808848 0.863995615312335 5464.347514617209526 0.870506552071439 5466.169267397344811 0.877219222718712 5467.991627529627294 0.884366206849577 5469.814595216540511 0.891453064192581 5471.638170660630749 0.899977379658355 5473.462354064528881 0.907961623883539 5475.287145630916712 0.915757670972793 5477.112545562547893 0.924120662373908 5478.938554062240655 0.932466630549574 5480.765171332895079 0.939226870824808 5482.592397577462179 0.947382891496658 5484.420232998969368 0.955451510734844 5486.248677800501355 0.963828999516091 5488.077732185231071 0.972932743956217 5489.907396356381469 0.981252368130615 5491.737670517248262 0.989765684983602 5493.568554871189917 0.998391296866023 5495.400049621647668 1.006555599286881 5497.232154972117314 1.014929457689204 5499.064871126165599 1.023785771119944 5500.898198287427476 1.032388610076081 5502.732136659599746 1.041128880581124 5504.566686446465610 1.049100543711960 5506.401847851858292 1.056582875104348 5508.237621079682867 1.064208053569192 5510.074006333910802 1.071281085679232 5511.911003818595418 1.078451006256414 5513.748613737840969 1.085848167275855 5515.586836295828107 1.093594606145946 5517.425671696795689 1.100979378985892 5519.265120145071705 1.107544242500759 5521.105181845034167 1.113317798019738 5522.945857001133845 1.117807735074923 5524.787145817883356 1.121490837124506 5526.629048499882629 1.124571195399965 5528.471565251782522 1.126713175699883 5530.314696278306656 1.127437309846814 5532.158441784240495 1.126544326612486 5534.002801974457725 1.123251461163242 5535.847777053881146 1.118878457448908 5537.693367227507224 1.114310612136456 5539.539572700396093 1.110587166487784 5541.386393677693377 1.107779638556465 5543.233830364596542 1.105059238556702 5545.081882966374906 1.101832496068877 5546.930551688361447 1.099649226682093 5548.779836735978279 1.097799718931882 5550.629738314692077 1.096432220324822 5552.480256630050462 1.097150607696457 5554.331391887658356 1.099123509794675 5556.183144293210717 1.101462435545165 5558.035514052451617 1.104237673235169 5559.888501371199709 1.106643353203719 5561.742106455342764 1.109911566997885 5563.596329510830401 1.115186689858121 5565.451170743699549 1.120326944863892 5567.306630360038071 1.125284465263226 5569.162708566007495 1.130406912401858 5571.019405567834838 1.135241684250328 5572.876721571828966 1.140806789888949 5574.734656784352410 1.146410798945730 5576.593211411844095 1.151356169943825 5578.452385660804794 1.155600806625095 5580.312179737818951 1.158360667443149 5582.172593849525583 1.160005357342027 5584.033628202636464 1.161840607807739 5585.895283003928853 1.163603846023562 5587.757558460264590 1.165377531985120 5589.620454778556450 1.166632997250469 5591.483972165794512 1.166736972006955 5593.348110829028883 1.167117605931027 5595.212870975397891 1.167474683267282 5597.078252812091705 1.168497230907312 5598.944256546375073 1.169897769315487 5600.810882385575496 1.170670938603518 5602.678130537107791 1.171336940571615 5604.546001208438611 1.171905633868948 5606.414494607108281 1.171634657994380 5608.283610940721701 1.172201854312741 5610.153350416971080 1.172471910375938 5612.023713243597740 1.171755598655082 5613.894699628420312 1.171758119066520 5615.766309779326548 1.171736636566662 5617.638543904266953 1.172111949380525 5619.511402211279346 1.172870255098611 5621.384884908454296 1.173823760235418 5623.258992203955131 1.175293004352982 5625.133724306009753 1.176745152061982 5627.009081422935196 1.177711224073968 5628.885063763097605 1.178472507992778 5630.761671534939524 1.179689128543192 5632.638904946967159 1.181053674724495 5634.516764207773122 1.181121877860525 5636.395249526003681 1.180833860370900 5638.274361110377868 1.181155681427876 5640.154099169682013 1.182067644847954 5642.034463912787032 1.183403877291772 5643.915455548614773 1.184032508783666 5645.797074286166207 1.184531478187849 5647.679320334504155 1.185546771834703 5649.562193902777835 1.186026137958397 5651.445695200189220 1.187182632358550 5653.329824436017589 1.189347988820604 5655.214581819604973 1.192013809439946 5657.099967560378900 1.195216633114228 5658.985981867821465 1.198155667460618 5660.872624951491161 1.200266716337437 5662.759897021007419 1.202195186032439 5664.647798286079706 1.204205237849686 5666.536328956468424 1.206633208455015 5668.425489242010372 1.208414215823090 5670.315279352606922 1.208903325534558 5672.205699498246759 1.208869278951090 5674.096749888969498 1.207315280489560 5675.988430734892063 1.205211179984444 5677.880742246202317 1.203827827645674 5679.773684633150879 1.201906438136635 5681.667258106075678 1.200074050008512 5683.561462875368306 1.198413784909214 5685.456299151495841 1.196811366619217 5687.351767144990845 1.195239819316300 5689.247867066470462 1.193294934372897 5691.144599126608227 1.190705416604147 5693.041963536152252 1.189005195554489 5694.939960505914314 1.186509358186062 5696.838590246794411 1.184630581678996 5698.737852969746200 1.183356328617164 5700.637748885797919 1.180656349281424 5702.538278206045106 1.176366602078850 5704.439441141667885 1.172479007614039 5706.341237903900947 1.169553473048713 5708.243668704055381 1.166802779371597 5710.146733753505941 1.163857375511102 5712.050433263717423 1.159939593012631 5713.954767446203732 1.155292801551875 5715.859736512559721 1.149833559756669 5717.765340674442086 1.144773447704588 5719.671580143596657 1.141350886098875 5721.578455131821102 1.137606153856204 5723.485965850990397 1.132074068408221 5725.394112513045002 1.126686792297733 5727.302895330012689 1.121618907810344 5729.212314513975798 1.117556427178441 5731.122370277089431 1.114825343043276 5733.033062831578718 1.112293262875393 5734.944392389752466 1.109258695551506 5736.856359163976776 1.105386421861768 5738.768963366690514 1.101185641155133 5740.682205210406210 1.098764850944005 5742.596084907700060 1.097513341985074 5744.510602671238303 1.096064714816874 5746.425758713737196 1.093983350855287 5748.341553247993033 1.092131054883068 5750.257986486866685 1.090260826143693 5752.175058643305420 1.088432220506422 5754.092769930312897 1.087318181693494 5756.011120560966447 1.087087305829305 5757.930110748412517 1.086769316272379 5759.849740705882141 1.086978688874620 5761.770010646661831 1.087465145608129 5763.690920784115406 1.088389965211153 5765.612471331671259 1.088425437212338 5767.534662502846913 1.088228948803184 5769.457494511213554 1.089419294924478 5771.380967570418761 1.091047520729555 5773.305081894175601 1.092357481753429 5775.229837696287177 1.093552806805244 5777.155235190608437 1.094783357723115 5779.081274591073452 1.097046387038626 5781.007956111679960 1.099956178640598 5782.935279966514827 1.103267662352285 5784.863246369721310 1.106071275801001 5786.791855535515424 1.108910991684773 5788.721107678184126 1.111989250880488 5790.651003012097135 1.114957110797445 5792.581541751684199 1.118140977877311 5794.512724111447824 1.121135272182415 5796.444550305965095 1.122030554850580 5798.377020549875851 1.121801279914155 5800.310135057912703 1.122259729399460 5802.243894044860099 1.122564918756001 5804.178297725578886 1.123404676997561 5806.113346314996306 1.123784307850280 5808.049040028132367 1.124517123668551 5809.985379080056191 1.125233021751621 5811.922363685916935 1.125722377435763 5813.859994060929239 1.126891013643984 5815.798270420396875 1.128728395018345 5817.737192979679094 1.130435624003000 5819.676761954210633 1.132216428646874 5821.616977559493534 1.132565788515894 5823.557840011118969 1.133458611562553 5825.499349524732679 1.134361779534795 5827.441506316057712 1.134602192816098 5829.384310600884419 1.134469508334038 5831.327762595090462 1.134757698964056 5833.271862514608074 1.136026986232239 5835.216610575451341 1.137193069625970 5837.162006993696195 1.137514506072482 5839.108051985507700 1.138465241421058 5841.054745767110035 1.140552897342442 5843.002088554800139 1.143093319449619 5844.950080564945893 1.144923602711433 5846.898722014000668 1.146651344703741 5848.848013118475137 1.149974046071401 5850.797954094957277 1.153479769849519 5852.748545160100548 1.155894805623406 5854.699786530650272 1.158045032888873 5856.651678423404519 1.160381505533478 5858.604221055240487 1.162899691965893 5860.557414643106313 1.164434326694754 5862.511259404018347 1.165659514928565 5864.465755555082069 1.168642331082291 5866.420903313458439 1.172853903682282 5868.376702896385723 1.176287832350513 5870.333154521169490 1.178837842882318 5872.290258405203531 1.181845586953667 5874.248014765938933 1.185662491833916 5876.206423820905002 1.189836680481158 5878.165485787696525 1.193219074557097 5880.125200883996513 1.194512297709509 5882.085569327548910 1.195920228091414 5884.046591336169513 1.197192993010478 5886.008267127745967 1.197837896955139 5887.970596920252319 1.198572874576255 5889.933580931719916 1.199201680694393 5891.897219380258321 1.199103651679875 5893.861512484043487 1.199867365023054 5895.826460461341412 1.200602168027412 5897.792063530474479 1.203049617156120 5899.758321909843289 1.206566636458689 5901.725235817914836 1.209002018756968 5903.692805473247063 1.211011843721143 5905.661031094452483 1.212357866217510 5907.629912900221825 1.213909816841471 5909.599451109315851 1.216324429855514 5911.569645940582632 1.218562776959422 5913.540497612928448 1.219129441479080 5915.512006345334157 1.219239547906080 5917.484172356858835 1.219607473569042 5919.456995866625221 1.221233438221385 5921.430477093847003 1.224476278191291 5923.404616257794260 1.227462729692205 5925.379413577817104 1.229439616853230 5927.354869273329314 1.230799028184950 5929.330983563839254 1.232057304404888 5931.307756668909860 1.234770482504641 5933.285188808181374 1.238259466002621 5935.263280201363159 1.241375291915505 5937.242031068253709 1.243315986613639 5939.221441628709727 1.244500644708319 5941.201512102666129 1.244062670068036 5943.182242710123319 1.243835266693045 5945.163633671176285 1.245417900665844 5947.145685205970949 1.247416708647490 5949.128397534737815 1.248523237526773 5951.111770877771050 1.248182802537768 5953.095805455456684 1.246913060514775 5955.080501488238951 1.246060635132443 5957.065859196638485 1.246797329479095 5959.051878801244129 1.247456167757695 5961.038560522737498 1.248040121737552 5963.025904581854775 1.248980627025071 5965.013911199412178 1.248432288028501 5967.002580596294138 1.247553834281546 5968.991912993473306 1.246577096189978 5970.981908611984181 1.246149695754138 5972.972567672934019 1.246298126038372 5974.963890397502837 1.245832731743193 5976.955877006960691 1.244238210424767 5978.948527722634026 1.243995730419918 5980.941842765925685 1.245036968592243 5982.935822358318546 1.245157105808631 5984.930466721358243 1.245271321080219 5986.925776076684997 1.245417897399861 5988.921750645991779 1.245418152355169 5990.918390651056143 1.245031389319211 5992.915696313718399 1.244806511750098 5994.913667855915264 1.244520239693887 5996.912305499636204 1.244040355763176 5998.911609466953450 1.240910510455642 6000.911579980005627 1.237392126788232 6002.912217261022306 1.234783821193953 6004.913521532293089 1.231210707752031 6006.915493016182154 1.227861002397673 6008.918131935126439 1.225226064651971 6010.921438511652923 1.222324092142556 6012.925412968345881 1.219122418174696 6014.930055527868717 1.215850497183488 6016.935366412952135 1.212592172884597 6018.941345846424156 1.210299850281906 6020.947994051161004 1.207410889277929 6022.955311250127124 1.204046878095375 6024.963297666348808 1.200956579783528 6026.971953522950571 1.197747356406006 6028.981279043107861 1.192947962513248 6030.991274450080709 1.187406155107859 6033.001939967194630 1.181734984025820 6035.013275817869726 1.174704696260848 6037.025282225582487 1.167757739379734 6039.037959413888530 1.159898528147246 6041.051307606411683 1.151068755398854 6043.065327026870364 1.142032467054491 6045.080017899037557 1.131846779202268 6047.095380446769923 1.121232580133483 6049.111414893994151 1.111118690350859 6051.128121464709693 1.099652456764580 6053.145500383006947 1.087310258739275 6055.163551873030883 1.073559724233588 6057.182276159012872 1.057592925522386 6059.201673465247950 1.040726164694619 6061.221744016124831 1.023186796299538 6063.242488036091345 1.005399530422406 6065.263905749673540 0.986232295423730 6067.285997381467496 0.965555188431691 6069.308763156162968 0.944709629754370 6071.332203298504282 0.924072239878474 6073.356318033319440 0.903187566793245 6075.381107585502832 0.882965492373993 6077.406572180045259 0.862643652813188 6079.432712041989362 0.842973970032850 6081.459527396464182 0.823216906360393 6083.487018468663337 0.803550784252195 6085.515185483877758 0.784884284661548 6087.544028667452039 0.766711939863695 6089.573548244813537 0.747420978884023 6091.603744441458730 0.729204153696243 6093.634617482976864 0.710829656236104 6095.666167595013576 0.694886945319198 6097.698395003298174 0.679797385100266 6099.731299933626360 0.664187669731875 6101.764882611889334 0.649179412925095 6103.799143264033773 0.634922295265509 6105.834082116090940 0.621580269853665 6107.869699394162126 0.610086275028263 6109.905995324423202 0.599512104533189 6111.942970133139170 0.589886493710212 6113.980624046636876 0.582208194422642 6116.018957291322295 0.573680862077515 6118.057970093667791 0.566882669916219 6120.097662680245776 0.562082995600716 6122.138035277681411 0.558711859328986 6124.179088112682621 0.555853305367777 6126.220821412027362 0.553932695205843 6128.263235402586361 0.552684878863757 6130.306330311289457 0.552650603657875 6132.350106365146530 0.553106942963133 6134.394563791237488 0.554452654393505 6136.439702816736826 0.557387692331371 6138.485523668876340 0.560937217014303 6140.532026574970587 0.565190687325625 6142.579211762399609 0.570176827467811 6144.627079458642584 0.575198515791006 6146.675629891235076 0.582274667593846 6148.724863287791777 0.590283425127589 6150.774779876000139 0.597999135846482 6152.825379883641290 0.607415936872155 6154.876663538552748 0.617281145853629 6156.928631068656614 0.628088708878993 6158.981282701940472 0.639448511463690 6161.034618666491042 0.650789391607061 6163.088639190449612 0.662866598173672 6165.143344502042055 0.675937237788034 6167.198734829560635 0.689013282094846 6169.254810401396753 0.702983934581580 6171.311571445995469 0.717153960630823 6173.369018191886425 0.731855899232452 6175.427150867673845 0.746118561310220 6177.485969702034708 0.759430171145667 6179.545474923737856 0.772941819938807 6181.605666761610337 0.787222144554948 6183.666545444564690 0.800293015460560 6185.728111201578940 0.812685085493535 6187.790364261729337 0.825709183174264 6189.853304854148519 0.839176166575918 6191.916933208052797 0.850849047767486 6193.981249552727604 0.861896779976038 6196.046254117553872 0.874041554209872 6198.111947131969828 0.886536109921425 6200.178328825497374 0.898617126596146 6202.245399427729353 0.910381775353359 6204.313159168350467 0.922176971566524 6206.381608277107262 0.933798036543026 6208.450746983827230 0.944705580016087 6210.520575518407895 0.956414051899655 6212.591094110843187 0.968521470672185 6214.662302991183424 0.979389650100821 6216.734202389563507 0.990260069993602 6218.806792536189278 1.002148693982552 6220.880073661360257 1.014011841794616 6222.954045995434171 1.024773891616446 6225.028709768853332 1.034946188432907 6227.104065212129171 1.047548709440413 6229.180112555869528 1.061427785957912 6231.256852030739537 1.075356079322746 6233.334283867488921 1.086917131157387 6235.412408296935610 1.097075604229988 6237.491225549996670 1.107255180803047 6239.570735857645559 1.114965270804785 6241.650939450937585 1.124047729324275 6243.731836561006276 1.132291545495622 6245.813427419057916 1.137701973439684 6247.895712256391562 1.141807099526642 6249.978691304366293 1.144278692341508 6252.062364794424866 1.149047087671543 6254.146732958078246 1.154750820152597 6256.231796026937445 1.159876195037939 6258.317554232669863 1.166218791978454 6260.404007807026574 1.173734393059658 6262.491156981826862 1.181704100173509 6264.579001988991877 1.190004939740285 6266.667543060497337 1.196454665733889 6268.756780428401726 1.202567776345639 6270.846714324838103 1.208671001665190 6272.937344982033210 1.216651122205204 6275.028672632272901 1.223588005588044 6277.120697507927616 1.228214892959519 6279.213419841436917 1.233632731151361 6281.306839865339498 1.238317801695670 6283.400957812230445 1.242837603400365 6285.495773914790334 1.247900257470002 6287.591288405768864 1.253097336484263 6289.687501518014869 1.257950141429869 6291.784413484434481 1.261979085642317 6293.882024538017504 1.264535805653488 6295.980334911825594 1.268056638985414 6298.079344839016812 1.270738023086525 6300.179054552808338 1.271667484196970 6302.279464286501934 1.271888329446685 6304.380574273474849 1.271796992440564 6306.482384747179822 1.273594844485679 6308.584895941161449 1.275679068573859 6310.688108089027082 1.277428474055132 6312.792021424466839 1.278375995526231 6314.896636181241774 1.280261402678536 6317.001952593212991 1.281772270614112 6319.107970894295249 1.280744620962536 6321.214691318492441 1.282133365526724 6323.322114099877581 1.285211777539570 6325.430239472620997 1.286478160683159 6327.539067670953955 1.285394803735549 6329.648598929189575 1.282781511644380 6331.758833481713737 1.279736611350504 6333.869771563010545 1.276293618080501 6335.981413407621403 1.272283695563236 6338.093759250174116 1.270631818741505 6340.206809325366521 1.271584009266677 6342.320563867995588 1.269582810752641 6344.435023112914678 1.266573237928397 6346.550187295066280 1.266294307138387 6348.666056649461098 1.266120468756473 6350.782631411208058 1.266811490635469 6352.899911815476116 1.267452401959951 6355.017898097518810 1.268533084251670 6357.136590492661526 1.270759242454771 6359.255989236326968 1.271854897393856 6361.376094563997867 1.273492501080694 6363.496906711241536 1.275678295895519 6365.618425913697138 1.277285160906708 6367.740652407102061 1.277171523865831 6369.863586427252812 1.276854643805601 6371.987228210030480 1.276828945979850 6374.111577991396189 1.277220668182510 6376.236636007381094 1.277966665123407 6378.362402494116395 1.278143135197591 6380.488877687792410 1.276826729532037 6382.616061824683129 1.275162189270343 6384.743955141136212 1.274129748994540 6386.872557873597543 1.272750018974734 6389.001870258572126 1.271342204164828 6391.131892532649545 1.269741273636429 6393.262624932493054 1.268590938963919 6395.394067694864134 1.267786565399386 6397.526221056581562 1.265373365376185 6399.659085254553247 1.261354295069752 6401.792660525756219 1.258726146106764 6403.926947107267551 1.255133100614099 6406.061945236225256 1.251785260995899 6408.197655149849197 1.249794918295657 6410.334077085435638 1.248045817241282 6412.471211280376338 1.245744327637380 6414.609057972124901 1.242480498874228 6416.747617398219518 1.239318739128382 6418.886889796272953 1.236889356810277 6421.026875403993472 1.235345135496471 6423.167574459150273 1.233285107461427 6425.308987199600779 1.231648635365803 6427.451113863271530 1.228941819806719 6429.593954688190934 1.226482339575362 6431.737509912444693 1.224120921924169 6433.881779774206734 1.221450240371336 6436.026764511728288 1.218589725073080 6438.172464363335166 1.215722252120325 6440.318879567450495 1.213276065725720 6442.466010362559246 1.210791763956852 6444.613856987231884 1.207571665580007 6446.762419680110725 1.204981201489922 6448.911698679938127 1.202342688584253 6451.061694225516476 1.200190658412324 6453.212406555734560 1.198942493186237 6455.363835909553018 1.196780578886357 6457.515982526033440 1.194488144628837 6459.668846644295627 1.194193948917894 6461.822428503548508 1.193778772712489 6463.976728343070135 1.193424256486554 6466.131746402243152 1.194801080877998 6468.287482920503862 1.195289025386774 6470.443938137381338 1.195220711725907 6472.601112292473772 1.194854739753565 6474.759005625482132 1.194535238245291 6476.917618376162864 1.195191251984080 6479.076950784364271 1.194299308949853 6481.237003090004691 1.191508032316412 6483.397775533103413 1.190092127790946 6485.559268353737934 1.188671270906306 6487.721481792077611 1.186701025034202 6489.884416088358194 1.185623121955058 6492.048071482920932 1.184795099389849 6494.212448216165285 1.184141385916845 6496.377546528578023 1.184101829787033 6498.543366660716856 1.183587445266057 6500.709908853243178 1.183558487917368 6502.877173346878408 1.182819181376185 6505.045160382427639 1.181186997042963 6507.213870200778729 1.179690290845729 6509.383303042893203 1.177392264488134 6511.553459149832634 1.175546106660596 6513.724338762719526 1.172872346539275 6515.895942122760971 1.169369002030160 6518.068269471241365 1.166169110648081 6520.241321049541511 1.164855292562371 6522.415097099107697 1.163600855660896 6524.589597861468064 1.163156398134331 6526.764823578228970 1.162846949292222 6528.940774491094089 1.162401307294418 6531.117450841829850 1.161477928232415 6533.294852872289994 1.159829086653354 6535.472980824399201 1.158577744790425 6537.651834940187655 1.156914924779006 6539.831415461741926 1.155776356882383 6542.011722631237717 1.153067830675982 6544.192756690924398 1.150221490713667 6546.374517883154112 1.147755187056048 6548.557006450335393 1.144851371764009 6550.740222634969541 1.141902512645125 6552.924166679628797 1.141508882099874 6555.108838826986357 1.140862213996624 6557.294239319777262 1.138795236744611 6559.480368400823863 1.137658959841916 6561.667226313022184 1.136215493281440 6563.854813299371017 1.134661879414178 6566.043129602927365 1.132706645721329 6568.232175466838271 1.130770271484200 6570.421951134324445 1.129474605328399 6572.612456848707552 1.127786178095716 6574.803692853370194 1.124984895876969 6576.995659391783192 1.123331945160287 6579.188356707498315 1.121554776847576 6581.381785044142816 1.118792511845323 6583.575944645443087 1.116623745959102 6585.770835755188273 1.113812610128923 6587.966458617255739 1.111412937770117 6590.162813475595613 1.109082779506274 6592.359900574262610 1.108059877671844 6594.557720157368749 1.106078026625431 6596.756272469117903 1.102994507898501 6598.955557753786707 1.101669736982547 6601.155576255752749 1.099961475688489 6603.356328219455463 1.097630736754342 6605.557813889425233 1.096851087710619 6607.760033510262474 1.097458506756363 6609.962987326672192 1.096668109778639 6612.166675583421238 1.095283605116004 6614.371098525362868 1.094102534478435 6616.576256397426732 1.093833864840551 6618.782149444643437 1.092220707435780 6620.988777912106343 1.090640848298268 6623.196142044996122 1.091042360443330 6625.404242088567116 1.090019657967251 6627.613078288179167 1.088132032222621 6629.822650889252145 1.086264034838154 6632.032960137292321 1.085322008127055 6634.244006277883273 1.083734342870964 6636.455789556711352 1.082981924707101 6638.668310219522937 1.083260470012048 6640.881568512153535 1.083144883330906 6643.095564680520511 1.081282505046447 6645.310298970616714 1.080251401224984 6647.525771628537768 1.078691661728814 6649.741982900441144 1.076397899749113 6651.958933032570712 1.074527551623913 6654.176622271248561 1.073149355558193 6656.395050862898643 1.070663757676202 6658.614219054004934 1.067615644337452 6660.834127091142363 1.065555865621447 6663.054775220961346 1.064052914397866 6665.276163690213252 1.062454804401586 6667.498292745712206 1.053712125146907 6669.721162634361463 1.048982375227541 6671.944773603140675 1.047120603092715 6674.169125899130449 1.044778223496099 6676.394219769474148 1.042512277973844 6678.620055461404263 1.040662149936912 6680.846633222229684 1.037630778395766 6683.073953299362074 1.035460218785671 6685.302015940273122 1.033860221081297 6687.530821392526377 1.036763164981099 6689.760369903759965 1.041921422233126 6691.990661721714787 1.041517806832580 6694.221697094195406 1.039884653535967 6696.453476269092789 1.038159666728134 6698.685999494377029 1.036445592163460 6700.919267018118262 1.034622788051020 6703.153279088453019 1.033572504082266 6705.388035953602412 1.031850867875665 6707.623537861867590 1.029989285640893 6709.859785061650655 1.027343399731138 6712.096777801416465 1.024610917100697 6714.334516329719918 1.021663714164684 6716.573000895199584 1.018855894463063 6718.812231746567704 1.016449784047624 6721.052209132642020 1.013851949164273 6723.292933302302117 1.012394773342927 6725.534404504516715 1.010996668941722 6727.776622988332747 1.009442489094812 6730.019589002897192 1.007617745682865 6732.263302797424330 1.006776307059818 6734.507764621213937 1.006329771633247 6736.752974723644002 1.007075092533131 6738.998933354196197 1.005779929102408 6741.245640762414041 1.004607178969017 6743.493097197932912 1.002759566250176 6745.741302910461854 1.001070191138380 6747.990258149817237 0.999253385303081 6750.239963165873633 0.995940858554770 6752.490418208600204 0.992886167451780 6754.741623528039781 0.990728690340053 6756.993579374340698 0.988848128037195 6759.246285997713130 0.986941848437958 6761.499743648456388 0.986709310438300 6763.753952576949814 0.985608738978038 6766.008913033674617 0.984336545644856 6768.264625269173848 0.982442566274079 6770.521089534082421 0.980334135654988 6772.778306079112554 0.978944944595055 6775.036275155080148 0.979077321639473 6777.294997012862041 0.979493561675130 6779.554471903428748 0.978801059158038 6781.814700077825364 0.978507045021099 6784.075681787202484 0.977883524917848 6786.337417282774368 0.978043903273374 6788.599906815843497 0.978162975795269 6790.863150637797844 0.977766379407442 6793.127149000102690 0.977308027472954 6795.391902154326999 0.976492680003755 6797.657410352103398 0.975667675966650 6799.923673845153644 0.973764424884011 6802.190692885278622 0.971553712616127 6804.458467724383809 0.970383094646316 6806.726998614437434 0.973709800681255 6808.996285807497770 0.977149777177539 6811.266329555700395 0.980093718114625 6813.537130111288207 0.981158184331510 6815.808687726563221 0.985550383308220 6818.081002653921132 0.988700690783330 6820.354075145835850 0.992953878123227 6822.627905454883148 0.995242148262133 6824.902493833705194 0.999731207781302 6827.177840535034193 1.001622350542983 6829.453945811677841 0.998513125706943 6831.730809916552971 0.996173587398279 6834.008433102634626 0.992525260683594 6836.286815622994254 0.990234645041582 6838.565957730778791 0.986697691662885 6840.845859679238856 0.986780258636776 6843.126521721689642 0.985378534056400 6845.407944111539109 0.985951696475132 6847.690127102271617 0.982240656671440 6849.973070947477026 0.978417503333613 6852.256775900807042 0.975178486195358 6854.541242216009778 0.971982209543214 6856.826470146912470 0.971495754443994 6859.112459947422394 0.972552779092478 6861.399211871554144 0.970975779639846 6863.686726173382340 0.968187813326731 6865.975003107076191 0.965428295698054 6868.264042926882212 0.962985543305237 6870.553845887150601 0.960731425430098 6872.844412242298858 0.961105282495413 6875.135742246831796 0.961167138818213 6877.427836155337900 0.963346511454039 6879.720694222505699 0.961986662200670 6882.014316703091026 0.960027077715055 6884.308703851940663 0.962255339701828 6886.603855923980518 0.961115342873145 6888.899773174239272 0.959926717127675 6891.196455857814726 0.959895997804232 6893.493904229891086 0.960130194909119 6895.792118545735320 0.957113530601605 6898.091099060718079 0.956572531740311 6900.390846030274588 0.955603388458613 6902.691359709931930 0.960741630804014 6904.992640355296317 0.961715292185679 6907.294688222078548 0.961080024578189 6909.597503566055821 0.961493924694174 6911.901086643096278 0.961289596031346 6914.205437709146281 0.961354761106610 6916.510557020259512 0.963437863531305 6918.816444832552406 0.966252502561151 6921.123101402235079 0.965292616006757 6923.430526985595861 0.963879684461690 6925.738721839029495 0.962122451330396 6928.047686218995295 0.963018490511762 6930.357420382044438 0.965176897162701 6932.667924584813591 0.965960252243916 6934.979199084018546 0.965620912432313 6937.291244136482419 0.968793456383070 6939.604059999091987 0.971974316052051 6941.917646928825889 0.975061204018676 6944.232005182743706 0.977842163487803 6946.547135018008703 0.978875523248350 6948.863036691852358 0.977881943833519 6951.179710461595278 0.976973165747884 6953.497156584639924 0.976942276048683 6955.815375318494262 0.978803736697487 6958.134366920729917 0.981584781243316 6960.454131649014016 0.980575424399475 6962.774669761090991 0.979702756002838 6965.095981514810774 0.979015071244932 6967.418067168092421 0.978825246722286 6969.740926978944117 0.979795980395762 6972.064561205454083 0.980672271845811 6974.388970105818771 0.980963281183070 6976.714153938299205 0.980823210887071 6979.040112961247360 0.979465519507724 6981.366847433097064 0.976299827839288 6983.694357612388558 0.976087959934282 6986.022643757727565 0.975000947558768 6988.351706127810758 0.977640051318266 6990.681544981417574 0.978094069528771 6993.012160577432951 0.978524354185194 6995.343553174806402 0.978810295077858 6997.675723032582027 0.977871233931645 7000.008670409889419 0.977751250883602 7002.342395565938205 0.979872772279929 7004.676898760044423 0.980748377309259 7007.012180251592326 0.982503631593529 7009.348240300056204 0.983940207300850 7011.685079164990384 0.985540809706681 7014.022697106059240 0.987827877563945 7016.361094382990814 0.989006539917509 7018.700271255606822 0.990636836607981 7021.040227983808109 0.990954740928113 7023.380964827604657 0.992005306235291 7025.722482047071935 0.992874401827494 7028.064779902377268 0.993124639202182 7030.407858653768926 0.993274085417610 7032.751718561604321 0.994733392326784 7035.096359886304526 0.994912859964716 7037.441782888385205 0.995515398789980 7039.787987828442056 0.995316001268369 7042.134974967178096 0.997410780326088 7044.482744565363646 1.000855859199637 7046.831296883860887 1.002257835111218 7049.180632183613852 1.002377284461866 7051.530750725672988 1.004633921066247 7053.881652771156951 1.006205045228317 7056.233338581275348 1.007027704164265 7058.585808417321459 1.008112201346325 7060.939062540693158 1.009364047242193 7063.293101212857437 1.010743884530770 7065.647924695373149 1.010626052227668 7068.003533249881002 1.009864507896509 7070.359927138128114 1.011268449562170 7072.717106621930725 1.013321620064142 7075.075071963197843 1.011816553057434 7077.433823423923968 1.009374133228128 7079.793361266185457 1.010180730048283 7082.153685752168712 1.009039434953274 7084.514797144123804 1.009773540500279 7086.876695704398117 1.010731428148909 7089.239381695415432 1.010964168016746 7091.602855379712310 1.011082472297288 7093.967117019889884 1.008616564498109 7096.332166878642965 1.008284594546791 7098.698005218747312 1.008842909807119 7101.064632303089638 1.008242719036905 7103.432048394620324 1.008010177738124 7105.800253756386155 1.009063345021967 7108.169248651513044 1.008481898418358 7110.539033343238771 1.008297908901580 7112.909608094863870 1.010477026645636 7115.280973169785284 1.010386287409289 7117.653128831482718 1.011344530728401 7120.026075343541379 1.012673645641850 7122.399812969616505 1.015226215017221 7124.774341973456103 1.016669162987231 7127.149662618889124 1.015684939996541 7129.525775169854569 1.014369314215632 7131.902679890357831 1.013387378607453 7134.280377044499801 1.009963561259058 7136.658866896461404 1.008433817613392 7139.038149710533617 1.007103783368932 7141.418225751074715 1.004149089442720 7143.799095282536655 0.999728957502343 7146.180758569454156 0.995761067778634 7148.563215876471077 0.992333988418318 7150.946467468295850 0.988146117386882 7153.330513609736045 0.985790718039907 7155.715354565685629 0.982453714245724 7158.100990601118610 0.981218470158986 7160.487421981120860 0.983678458998525 7162.874648970843737 0.981455946801734 7165.262671835535002 0.982124785874176 7167.651490840524275 0.982691301099316 7170.041106251248493 0.983110153401544 7172.431518333213717 0.987070599800971 7174.822727352022412 0.994975801571057 7177.214733573356170 0.998521877423176 7179.607537263008453 1.005226855350996 7182.001138686839113 1.006617953695181 7184.395538110803500 1.006561473918115 7186.790735800938819 1.010443536634426 7189.186732023392324 1.012966365029233 7191.583527044379480 1.013009961151500 7193.981121130211250 1.012344069188569 7196.379514547277722 1.010218871156744 7198.778707562082673 1.005865156732819 7201.178700441196270 1.005292502311715 7203.579493451283270 1.002362324088029 7205.981086859093011 1.000597484743922 7208.383480931482154 0.998813493723821 7210.786675935376479 0.998933283663976 7213.190672137798174 0.997854852911966 7215.595469805849461 1.000678496395296 7218.001069206746251 1.003568634486529 7220.407470607769028 1.005638675251368 7222.814674276295591 1.006285923657119 7225.222680479793780 1.008040716277814 7227.631489485812381 1.009612965694013 7230.041101562010226 1.011091582284921 7232.451516976117091 1.015822682917520 7234.862735995954608 1.018748673014187 7237.274758889429904 1.018236166740085 7239.687585924559244 1.013564420405495 7242.101217369428014 1.013643942454259 7244.515653492218007 1.014503569587831 7246.930894561191053 1.015492202927985 7249.346940844723576 1.014765507989430 7251.763792611255667 1.017201690843051 7254.181450129328368 1.019813642925749 7256.599913667562760 1.021382519702411 7259.019183494690878 1.019724728523291 7261.439259879513884 1.021545951059487 7263.860143090928432 1.025698821256229 7266.281833397913942 1.026032296309140 7268.704331069563523 1.026488768289617 7271.127636375034854 1.027488330508080 7273.551749583584751 1.028166210285781 7275.976670964550067 1.029089550938266 7278.402400787383158 1.028743063877259 7280.828939321602775 1.028465022832929 7283.256286836822255 1.030551884054745 7285.684443602739520 1.031860915327886 7288.113409889166178 1.031818960326437 7290.543185965979319 1.031223019083649 7292.973772103154261 1.031194042223173 7295.405168570748174 1.032000651638743 7297.837375638931007 1.033141143470717 7300.270393577940922 1.035036249680637 7302.704222658113395 1.034487405487910 7305.138863149873032 1.032164533535978 7307.574315323729934 1.030642412076573 7310.010579450302430 1.031043694003145 7312.447655800280700 1.031972993762886 7314.885544644450420 1.032050587918501 7317.324246253680030 1.030756747879774 7319.763760898952569 1.030627512494746 7322.204088851317465 1.027994179195624 7324.645230381921465 1.025280999275183 7327.087185761995897 1.024825594881415 7329.529955262883050 1.022919735817427 7331.973539155996150 1.023325570322049 7334.417937712842104 1.025197609113273 7336.863151205016038 1.027616000564568 7339.309179904220400 1.030268062371268 7341.756024082231306 1.032694107618573 7344.203684010917641 1.034303601225687 7346.652159962236510 1.036646737326844 7349.101452208255068 1.037796442207801 7351.551561021108682 1.040921667901938 7354.002486673032763 1.045164072700532 7356.454229436343667 1.045772059413752 7358.906789583473255 1.050311536078229 7361.360167386920693 1.053451109584704 7363.814363119282461 1.053727878403533 7366.269377053240532 1.052767898881809 7368.725209461588747 1.052101505908917 7371.181860617190978 1.051223922734431 7373.639330793006593 1.049488623255627 7376.097620262081364 1.048173579581000 7378.556729297573838 1.046809271994569 7381.016658172709867 1.044383552168027 7383.477407160816256 1.035605425046733 7385.938976535308029 1.031165877143718 7388.401366569686616 1.031580690572589 7390.864577537565310 1.030882611478055 7393.328609712627440 1.029751295212049 7395.793463368653647 1.029480961275297 7398.259138779509158 1.029319694257650 7400.725636219171975 1.028845129714253 7403.192955961691951 1.027753904552665 7405.661098281214436 1.026778556587798 7408.130063451970273 1.024997572864195 7410.599851748303990 1.023983218079946 7413.070463444628331 1.021438148122305 7415.541898815456079 1.018370956246337 7418.014158135384605 1.014592742701463 7420.487241679123144 1.010413280097148 7422.961149721451875 1.006187935973130 7425.435882537249199 1.001591178104037 7427.911440401478103 0.996068168451144 7430.387823589216168 0.990157897556321 7432.865032375608280 0.986151984105365 7435.343067035900276 0.979776746941024 7437.821927845422579 0.972565690733421 7440.301615079618387 0.966041306931338 7442.782129014001839 0.961362979902986 7445.263469924184392 0.956029582325574 7447.745638085863902 0.951593740530467 7450.228633774851914 0.946686254081788 7452.712457267029095 0.942911156979111 7455.197108838375243 0.939990135726779 7457.682588764963839 0.934362727351317 7460.168897322952034 0.932636289636081 7462.656034788609759 0.932504780388793 7465.144001438279702 0.932236419112331 7467.632797548400958 0.930457294961213 7470.122423395500846 0.929838653235251