SN 1998bw Ic_hyp in ESO 184-G82 (SBbc)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN 1998bw Ic_hyp in ESO 184-G82 (SBbc)
             according to Leda.
DISCOVERY:   1998may01 by \citet{galama1998}
MAX:  1998may10 UT (JD 2450943.8) in B from \citet{patat2001}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 130.
DATE of Explosion:  This was coincident with GRB 980425, and the assumed explosion was thus 1998apr25.
                    This day of the year 115.

SUPERNOVA of the YEAR:  M = 75.

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


REF:

\citep{galama1998}
\bibitem[Galama et al.(1998)]{galama1998} Galama, T., et al. 1998, Nature, 395, 670
       % About 48 coauthors.
%
% ADS reference
       % An unusual supernova in the error box of the gamma-ray burst of 25 April 1998.
       % The discovery paper for SN 1998bw, the famous SN Ic_hypernova coincident with
       % GRB 980425.

\citep{iwamoto1998}
\bibitem[Iwamoto et al.(1998)]{iwamoto1998}
    Iwamoto, K., et al. 1998, Nature, 395, 672

% ADS reference.
     % About 27 coauthors.  Paolo's 2nd author.
     % A hypernova model for the supernova associated with the gamma-ray burst of 25 April 1998.
     % SN 1998bw Ic_hypernova.

\citep{patat2001}
\bibitem[Patat et al.(2001)]{patat2001} Patat, F., et al. 2001, \apj, 555, 900
        %
        % ADS Reference
         % 46 coauthors including all the usual suspects.
         % The Metamorphosis of SN 1998bw.
         % The big ESO paper on light curves and spectra.


REP:  F_lambda (cgs-A) vs. lambda (ang)
COR:  NOT deredshifted (z=.0085\pm.0002 [Galama etal;  Iwamoto etal] or
        heliocentric velocity 2550\pm60 km/s.
        Using H_0=65, this is 39\pm1 Mpc away [Iwamoto etal]).
        But \citet{patat2001} give 2532 km/s from narrow line observations.
      NOT checked against photometry and so absolute calibration may be off.
      NOT dereddened ????  Iwamoto et al assumed 0. total reddening
         and since no other corrections have been done, I assume
         no dereddening either.
         But Galama etal. from the Schlegel etal maps say
           A_V_foreground=.20.
         My evaluation from the Schlegel etal maps give
           E(B-V)_foreground=.05853 which for R=3.1 is A_V_forground=.1814.
           So who is right.  Me, I'd say.  But they are more expert.
         Leda doesn't give a heliocentric velocity and gives foreground E(B-V)=.25/4=.0625
     ESO 184-G82 (SBbc)

OBS:  Not clear, but reported in \citet{patat2001}.


Date: 1998may21.4 (2450954.89583334) with 2005may10 (JD 2450943.8) for B maximum gives:
      day = 954.9 - 943.8 = 11.1  (See JD in FITS information below).  



&specnamelist aname='sn1998bw Ic_hyp 1998_05_21' ebv=.065 epoch= 11.1 ! This parameter needs to updated for the particular spectrum. iformat=1 itick=2 itickln=4 t_rise=14.4 ! \citep{patat2001}, p. 905 v_helio=2532. ymin2=2.d-15 ymax2=11.d-15 ymin3=.6 ymax3=1.5 wlammin1=3010.43129444123 wlammax1=8630.1255356765 wlammin2=3010.43129444123 wlammax2=8630.1255356765 wlammin3=3200. wlammax3=8630.1255356765 /
./figure/sn1998bw_1998_05_21.gif Postscript plot of the spectrum.
./figure/sn1998bw_1998_05_21.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. SIMPLE = T / Written by IDL: Mon Jul 31 19:21:02 2000 BITPIX = -32 / FITS BITS/PIXEL NAXIS = 1 / NUMBER OF AXES NAXIS1 = 1902 / OBJECT = '50954.896 1998bw 21/05/98 Dan1.54+DFOSC+gr4 [?/NP] ( )' / ORIGIN = 'KPNO-IRAF' / DATE = '11-10-99' / IRAFNAME= 'temp.imh' / NAME OF IRAF IMAGE FILE IRAF-MAX= 0.000000E0 / DATA MAX IRAF-MIN= 0.000000E0 / DATA MIN IRAF-BPX= 32 / DATA BITS/PIXEL IRAFTYPE= 'REAL ' / PIXEL TYPE ORIGIN = 'NOAO-IRAF FITS Image Kernel Aug 1 1997' / FITS file originator DATE = '08/06/99' / TM_START= 30667.00 / ' 8:31:07.00' measurement start time (UT) TM_END = 31567.00 / ' 8:46:07.00' measurement end time (UT) TELESCOP= 'Danish 1.54m' / Telescope identification INSTRUME= 'DFOSC' / Instrument used OBSERVER= ' ' / Name of the observer DATE-OBS= '21/05/98' / Date of observation (UT) MJD-OBS = 50954.3549421 / Start of observation = 1998/05/21 8:31:07.00 EXPTIME = 900.00 / Integration time (secs) is 0:15:00.00 AMPLM = 'A ' / A / B or AB CCDTEMP = -100.5 / MPP = 1 / ST = 70990.10 / '19:43:10.10' sidereal time at start RA = 19.58192 / '19:34:54.91' right ascension at start DEC = -52.84633 / '-52:50:46.78' declination at start HA = 0.13758 / Hour Angle at start ZDIST = 23.60000 / Zenith distance at start CAMERA = '2380' / DFOSC Camera focus ROTATOR = '89.9' / DFOSC Rotator angle HIERARCH ESO GEN EXPO TYPE = 'SCI' / Type of exposure HIERARCH ESO TEL ID = 'Danish 1.54m' / Telescope identification HIERARCH ESO INS OPTI-1 NO = 2 / Wheel#1 position HIERARCH ESO INS OPTI-1 ID = 'Slit=1.5" Y=1031.2' / Optical element identifica HIERARCH ESO INS OPTI-1 TYPE= 'SLIT ' / What is this element HIERARCH ESO INS OPTI-1 NAME= ' ' / Filter name HIERARCH ESO INS OPTI-2 NO = 8 / Wheel#2 position HIERARCH ESO INS OPTI-2 ID = ' ' / Optical element identification HIERARCH ESO INS OPTI-2 TYPE= 'FILTER ' / What is this element HIERARCH ESO INS OPTI-2 NAME= 'FREE' / Filter name HIERARCH ESO INS OPTI-3 NO = 5 / Wheel#3 position HIERARCH ESO INS OPTI-3 ID = '#4' / Optical element identification HIERARCH ESO INS OPTI-3 TYPE= 'GRISM ' / What is this element HIERARCH ESO INS OPTI-3 NAME= ' ' / Filter name HIERARCH ESO INS OPTI-4 NO = 0 / Wheel 4 position HIERARCH ESO INS OPTI-4 ID = ' ' / Optical element identification HIERARCH ESO INS OPTI-4 TYPE= 'FILTER B' / What is this element HIERARCH ESO INS OPTI-4 NAME= 'Free' / Filter name HIERARCH ESO INS OPTI-5 NO = 0 / Wheel 5 position HIERARCH ESO INS OPTI-5 ID = ' ' / Optical element identification HIERARCH ESO INS OPTI-5 TYPE= 'FILTER A' / What is this element HIERARCH ESO INS OPTI-5 NAME= 'Free' / Filter name HIERARCH ESO DET NAME = 'LORAL 2k x 2k' / Detector name HIERARCH ESO DET ID = '2K3EB C1W7' / Detector identification HIERARCH ESO DET BITS = 16 / ADU bits per pixel HIERARCH ESO DET FRAM NAXIS1= 2102 / Number of pixels along horizont HIERARCH ESO DET FRAM NAXIS2= 2052 / Number of pixels along vertical HIERARCH ESO DET FRAM CRPIX1= 1. / Reference pixel HIERARCH ESO DET FRAM CRPIX2= 1. / Reference pixel HIERARCH ESO DET FRAM CDELT1= 1. / Binning factor along horizontal HIERARCH ESO DET FRAM CDELT2= 1. / Binning factor along vertical a HIERARCH ESO DET FRAM CRVAL1= 1. / Position of window along horizo HIERARCH ESO DET FRAM CRVAL2= 1. / Position of window along vertic HIERARCH ESO DET MODE = 'HIA' / Readout mode HIERARCH ESO DET UDIT = 900.00 / User defined exposure time (sec HISTORY TRIM = 'May 31 18:25 Trim data section is [895:1095,1:2043]' ZEROCOR = 'May 31 18:25 Zero level correction image is bias' CCDSEC = '[895:1095,1:2043]' BIASSEC = '[1:201,1:2043]' CCDPROC = 'May 31 18:34 CCD processing done' FLATCOR = 'May 31 18:34 Flat field image is flat4n with scale=1.' WCSDIM = 1 CTYPE1 = 'LINEAR ' CD1_1 = 2.95617792805643 LTM1_1 = 1.00012574223299 WAT0_001= 'system=linear WAT1_001= 'wtype=linear label=Wavelength units=Angstroms NCOMBINE= 2 REFSPEC1= 'hear4new' CDELT1 = 2.95617792805643 APLOW = 148.41 APHIGH = 164.41 CRVAL1 = 3010.43129444123 CRPIX1 = -123.745026796582 AIRMASS = 1.13 EX-FLAG = 0 CA-FLAG = 0 APNUM = 1 BEAM-NUM= 1 DC-FLAG = 0 LTV1 = -124.745152538815 HISTORY 'ESO-LA SILLA' / Tape writing institution HISTORY '21/05/98' / Date file is written (UT) HISTORY New copy of sn0063 HISTORY New copy of sn0063 HISTORY New copy of sn0063_f HISTORY New copy of sn0063_f HISTORY New copy of sn63_f HISTORY New copy of sn4_f HISTORY New copy of sn4_fl HISTORY New copy of sn4_fc HISTORY New copy of red4 HISTORY New copy of sn98bw HISTORY New copy of sn98bwf UT = 9.5 JD = 2450954.89583334 IDENT = '50954.896 1998bw 21/05/98 Dan1.54+DFOSC+gr4 [?/NP] ( )' HISTORY New copy of 1998bw_19980521.fits END END: 3010.43129444123 1.29824845704785e-15 3013.38747236929 1.70300473908009e-15 3016.34365029734 2.67631176992429e-15 3019.2998282254 3.40425061424521e-15 3022.25600615346 2.80506818944523e-15 3025.21218408151 2.10608876631622e-15 3028.16836200957 1.837388316107e-15 3031.12453993762 2.45055377255849e-15 3034.08071786568 2.77664832824072e-15 3037.03689579374 2.24150117073669e-15 3039.99307372179 1.58302315737623e-15 3042.94925164985 1.99115867735155e-15 3045.90542957791 2.94198323031413e-15 3048.86160750596 4.01541262601821e-15 3051.81778543402 4.27645759245015e-15 3054.77396336208 4.19329123900751e-15 3057.73014129013 3.53701837004612e-15 3060.68631921819 3.54759675276614e-15 3063.64249714625 2.49757405376824e-15 3066.5986750743 2.25807231155853e-15 3069.55485300236 2.97458806955279e-15 3072.51103093042 3.00577666970364e-15 3075.46720885847 2.09362594704679e-15 3078.42338678653 1.72402142644649e-15 3081.37956471458 1.53334065161327e-15 3084.33574264264 1.58956733392672e-15 3087.2919205707 2.10454250767101e-15 3090.24809849875 2.94105212934686e-15 3093.20427642681 3.54890203053786e-15 3096.16045435487 3.17243484899889e-15 3099.11663228292 2.91613199652216e-15 3102.07281021098 3.13348425067764e-15 3105.02898813904 3.27782417060393e-15 3107.98516606709 3.42141976032782e-15 3110.94134399515 3.53190398511059e-15 3113.89752192321 3.20276413422475e-15 3116.85369985126 3.06108432126932e-15 3119.80987777932 2.88553949580794e-15 3122.76605570737 2.56537120614118e-15 3125.72223363543 3.32752996977295e-15 3128.67841156349 4.33447045549112e-15 3131.63458949154 4.28557717267676e-15 3134.5907674196 4.11839912691013e-15 3137.54694534766 3.72105597135314e-15 3140.50312327571 3.25040613761778e-15 3143.45930120377 3.18246837777559e-15 3146.41547913183 3.50798822160311e-15 3149.37165705988 3.46542460424534e-15 3152.32783498794 3.36996229702389e-15 3155.28401291599 3.60690557621641e-15 3158.24019084405 3.18128697857241e-15 3161.19636877211 2.89378980847244e-15 3164.15254670016 3.46491765502641e-15 3167.10872462822 3.76269822862253e-15 3170.06490255628 4.08074512427289e-15 3173.02108048433 3.99029725209918e-15 3175.97725841239 3.35931551639337e-15 3178.93343634045 3.37312024760949e-15 3181.8896142685 3.31866238184814e-15 3184.84579219656 3.30521149864574e-15 3187.80197012462 3.0287719201557e-15 3190.75814805267 2.71833561553642e-15 3193.71432598073 2.58981615348247e-15 3196.67050390879 3.1964876200856e-15 3199.62668183684 3.33413534445387e-15 3202.5828597649 3.21018541339212e-15 3205.53903769295 3.19649121997563e-15 3208.49521562101 3.53689724433466e-15 3211.45139354907 3.53542277173173e-15 3214.40757147712 3.18685177327764e-15 3217.36374940518 3.21373744605643e-15 3220.31992733324 3.33967811630247e-15 3223.27610526129 3.57259989481966e-15 3226.23228318935 3.85934468790424e-15 3229.18846111741 3.77359361342306e-15 3232.14463904546 3.60369108618158e-15 3235.10081697352 3.32780356141491e-15 3238.05699490158 3.28867381562531e-15 3241.01317282963 3.58421398707594e-15 3243.96935075769 3.76673942281388e-15 3246.92552868574 3.8076921952642e-15 3249.8817066138 3.64185076748833e-15 3252.83788454186 3.55902449777402e-15 3255.79406246991 3.80454673841457e-15 3258.75024039797 3.50141693999831e-15 3261.70641832603 3.52084978163245e-15 3264.66259625408 3.91336040246712e-15 3267.61877418214 3.96365933645745e-15 3270.5749521102 4.03401939877055e-15 3273.53113003825 4.00527957087021e-15 3276.48730796631 3.91530984879523e-15 3279.44348589437 3.96463935357742e-15 3282.39966382242 3.93615448259421e-15 3285.35584175048 3.70865795010417e-15 3288.31201967853 3.85123095930249e-15 3291.26819760659 4.07908409266332e-15 3294.22437553465 4.28253928901143e-15 3297.1805534627 4.16374080057665e-15 3300.13673139076 3.96833284074393e-15 3303.09290931882 4.09020182361251e-15 3306.04908724687 4.0938521120987e-15 3309.00526517493 4.10521336502022e-15 3311.96144310299 4.23713620545624e-15 3314.91762103104 4.36200876715578e-15 3317.8737989591 4.31884058003191e-15 3320.82997688716 4.04644706617266e-15 3323.78615481521 3.96379062656427e-15 3326.74233274327 4.09412782132303e-15 3329.69851067132 4.19857841866427e-15 3332.65468859938 4.20879405952463e-15 3335.61086652744 4.05187951197988e-15 3338.56704445549 4.03450093700106e-15 3341.52322238355 4.17454724691772e-15 3344.47940031161 4.16943116791631e-15 3347.43557823966 4.04949850236515e-15 3350.39175616772 4.09061094052603e-15 3353.34793409578 4.1425391423904e-15 3356.30411202383 4.26645201576071e-15 3359.26028995189 4.32996212262936e-15 3362.21646787995 4.21488761454718e-15 3365.172645808 4.1212692980519e-15 3368.12882373606 4.13398919182082e-15 3371.08500166411 4.17376289440856e-15 3374.04117959217 4.2718302514593e-15 3376.99735752023 4.2173266459188e-15 3379.95353544828 4.29664281109969e-15 3382.90971337634 4.28489615818717e-15 3385.8658913044 4.18152002213952e-15 3388.82206923245 4.29335208809961e-15 3391.77824716051 4.39400543673831e-15 3394.73442508857 4.30895485850451e-15 3397.69060301662 4.2333999431259e-15 3400.64678094468 4.19456602359313e-15 3403.60295887274 4.23607572020627e-15 3406.55913680079 4.19677042683836e-15 3409.51531472885 4.21491344905207e-15 3412.4714926569 4.39009510913731e-15 3415.42767058496 4.4784122699322e-15 3418.38384851302 4.41154198336179e-15 3421.34002644107 4.45584434760203e-15 3424.29620436913 4.41498220767706e-15 3427.25238229719 4.39064991571776e-15 3430.20856022524 4.4437076360173e-15 3433.1647381533 4.40396739123097e-15 3436.12091608136 4.4223446180546e-15 3439.07709400941 4.4324327804564e-15 3442.03327193747 4.37559305804737e-15 3444.98944986553 4.40772737048383e-15 3447.94562779358 4.43532116280653e-15 3450.90180572164 4.49458170537881e-15 3453.85798364969 4.57632716105243e-15 3456.81416157775 4.67431743810497e-15 3459.77033950581 4.63074902791352e-15 3462.72651743386 4.92387494370624e-15 3465.68269536192 4.8809744189937e-15 3468.63887328998 4.62139524307699e-15 3471.59505121803 4.93205347032845e-15 3474.55122914609 5.21932723548859e-15 3477.50740707415 5.06972851150927e-15 3480.4635850022 4.96810234553065e-15 3483.41976293026 5.01960279575666e-15 3486.37594085832 4.95874093739759e-15 3489.33211878637 5.08416110589754e-15 3492.28829671443 5.20105588778337e-15 3495.24447464248 5.07124427696838e-15 3498.20065257054 5.2410642184975e-15 3501.1568304986 5.29869083451453e-15 3504.11300842665 5.30002957008766e-15 3507.06918635471 5.44042443406212e-15 3510.02536428277 5.36256982423171e-15 3512.98154221082 5.27254250391631e-15 3515.93772013888 5.3612467587681e-15 3518.89389806694 5.23580541444447e-15 3521.85007599499 5.188969574659e-15 3524.80625392305 5.42157583340334e-15 3527.76243185111 5.60726070203453e-15 3530.71860977916 5.50810533116305e-15 3533.67478770722 5.42624849065687e-15 3536.63096563527 5.41913849609762e-15 3539.58714356333 5.54664533026312e-15 3542.54332149139 5.6102545399866e-15 3545.49949941944 5.66829069643363e-15 3548.4556773475 5.76142112195129e-15 3551.41185527556 5.81062738343966e-15 3554.36803320361 5.82773787249067e-15 3557.32421113167 5.84829155047227e-15 3560.28038905973 5.79093047928421e-15 3563.23656698778 5.7554728330792e-15 3566.19274491584 5.95016843820328e-15 3569.1489228439 6.15789098653966e-15 3572.10510077195 6.19597528191411e-15 3575.06127870001 6.10203085773414e-15 3578.01745662806 6.09468750559792e-15 3580.97363455612 6.26280533441953e-15 3583.92981248418 6.45010337729877e-15 3586.88599041223 6.40407603046144e-15 3589.84216834029 6.12855611799388e-15 3592.79834626835 6.04251366417884e-15 3595.7545241964 5.98662897141784e-15 3598.71070212446 6.12026281840731e-15 3601.66688005252 6.3527640450662e-15 3604.62305798057 6.37824025502077e-15 3607.57923590863 6.25691337323843e-15 3610.53541383669 6.22231123031014e-15 3613.49159176474 6.28499929170349e-15 3616.4477696928 6.3044060870745e-15 3619.40394762085 6.32959261176111e-15 3622.36012554891 6.45206722318698e-15 3625.31630347697 6.4376541105565e-15 3628.27248140502 6.28765473999313e-15 3631.22865933308 6.21875877412936e-15 3634.18483726114 6.33046166756499e-15 3637.14101518919 6.34562609841969e-15 3640.09719311725 6.32359223036276e-15 3643.05337104531 6.22691485437847e-15 3646.00954897336 6.2412258995388e-15 3648.96572690142 6.49898818978365e-15 3651.92190482948 6.48992578428098e-15 3654.87808275753 6.30861075862467e-15 3657.83426068559 6.26815731209675e-15 3660.79043861364 6.21530203267161e-15 3663.7466165417 6.26570853984624e-15 3666.70279446976 6.33548838459047e-15 3669.65897239781 6.44164829441927e-15 3672.61515032587 6.38721456909692e-15 3675.57132825393 6.03977986534158e-15 3678.52750618198 5.72079276311976e-15 3681.48368411004 5.9194973751832e-15 3684.4398620381 6.36173454749409e-15 3687.39603996615 6.45491028927444e-15 3690.35221789421 6.38465568256327e-15 3693.30839582227 6.37212806527338e-15 3696.26457375032 6.49804755969573e-15 3699.22075167838 6.58517802733152e-15 3702.17692960643 6.62822847687572e-15 3705.13310753449 6.55447265947707e-15 3708.08928546255 6.41411379440288e-15 3711.0454633906 6.33060396910013e-15 3714.00164131866 6.36495496675956e-15 3716.95781924672 6.48588077844137e-15 3719.91399717477 6.47307406379536e-15 3722.87017510283 6.46305705216113e-15 3725.82635303089 6.48968099175922e-15 3728.78253095894 6.43421600382359e-15 3731.738708887 6.40375161684264e-15 3734.69488681506 6.35683700299307e-15 3737.65106474311 6.39553878538607e-15 3740.60724267117 6.43464714359374e-15 3743.56342059922 6.46551302419169e-15 3746.51959852728 6.52189619584215e-15 3749.47577645534 6.52422087776589e-15 3752.43195438339 6.48906858693836e-15 3755.38813231145 6.34429879779134e-15 3758.34431023951 6.34598100522459e-15 3761.30048816756 6.41261496960271e-15 3764.25666609562 6.42907366680081e-15 3767.21284402368 6.37022732333974e-15 3770.16902195173 6.32386963365299e-15 3773.12519987979 6.47132536427575e-15 3776.08137780785 6.50088512006903e-15 3779.0375557359 6.4878602944391e-15 3781.99373366396 6.49421558264235e-15 3784.94991159201 6.51279440330743e-15 3787.90608952007 6.51341443142482e-15 3790.86226744813 6.57869526066971e-15 3793.81844537618 6.6595386262545e-15 3796.77462330424 6.61336008403609e-15 3799.7308012323 6.46345176951455e-15 3802.68697916035 6.44170928079148e-15 3805.64315708841 6.58665228817621e-15 3808.59933501647 6.57235394851009e-15 3811.55551294452 6.49770239376972e-15 3814.51169087258 6.4355488101661e-15 3817.46786880064 6.40991971076455e-15 3820.42404672869 6.56099269558856e-15 3823.38022465675 6.65080148140357e-15 3826.3364025848 6.63383583498654e-15 3829.29258051286 6.48805045333576e-15 3832.24875844092 6.53492949180155e-15 3835.20493636897 6.69700670515982e-15 3838.16111429703 6.65732151751506e-15 3841.11729222509 6.61623067869433e-15 3844.07347015314 6.65673452368261e-15 3847.0296480812 6.63791260456167e-15 3849.98582600926 6.67453534458563e-15 3852.94200393731 6.7362980224841e-15 3855.89818186537 6.69099446530021e-15 3858.85435979343 6.70769880205301e-15 3861.81053772148 6.68244070308236e-15 3864.76671564954 6.69427883555319e-15 3867.72289357759 6.71959410924777e-15 3870.67907150565 6.76192542781976e-15 3873.63524943371 6.84080410048339e-15 3876.59142736176 6.84251764813569e-15 3879.54760528982 6.75196897904125e-15 3882.50378321788 6.70429500015447e-15 3885.45996114593 6.69794564118185e-15 3888.41613907399 6.61849606831176e-15 3891.37231700205 6.6051121007122e-15 3894.3284949301 6.70808123742869e-15 3897.28467285816 6.76064513751998e-15 3900.24085078622 6.6992263549981e-15 3903.19702871427 6.61567798969625e-15 3906.15320664233 6.62242545415408e-15 3909.10938457038 6.64017545308026e-15 3912.06556249844 6.61013246499058e-15 3915.0217404265 6.67940239590056e-15 3917.97791835455 6.72612261568874e-15 3920.93409628261 6.66865312428343e-15 3923.89027421067 6.67911144008318e-15 3926.84645213872 6.67856891548046e-15 3929.80263006678 6.65260523806475e-15 3932.75880799484 6.68536000213507e-15 3935.71498592289 6.76741928351565e-15 3938.67116385095 6.84855445195077e-15 3941.62734177901 6.8419954523237e-15 3944.58351970706 6.7719212636303e-15 3947.53969763512 6.81862454275954e-15 3950.49587556317 6.9085159142869e-15 3953.45205349123 6.86284262722153e-15 3956.40823141929 6.81336404464061e-15 3959.36440934734 6.76412178425199e-15 3962.3205872754 6.76872667886973e-15 3965.27676520346 6.81738872168949e-15 3968.23294313151 6.86576616143898e-15 3971.18912105957 6.90805428133065e-15 3974.14529898763 6.86390438302091e-15 3977.10147691568 6.76761664219236e-15 3980.05765484374 6.75174917399144e-15 3983.0138327718 6.84019169566253e-15 3985.97001069985 6.7496188861291e-15 3988.92618862791 6.66251721761352e-15 3991.88236655596 6.76143203112798e-15 3994.83854448402 6.79827499971823e-15 3997.79472241208 6.82472275646329e-15 4000.75090034013 6.87035750352957e-15 4003.70707826819 6.90660585499084e-15 4006.66325619625 6.90800134177144e-15 4009.6194341243 6.90573891676933e-15 4012.57561205236 6.9285139386551e-15 4015.53178998042 6.89562957854385e-15 4018.48796790847 6.81053326053089e-15 4021.44414583653 6.76345643987192e-15 4024.40032376459 6.77149393550841e-15 4027.35650169264 6.76663281342412e-15 4030.3126796207 6.79895940233961e-15 4033.26885754875 6.90351630231573e-15 4036.22503547681 6.91974672413454e-15 4039.18121340487 6.91224497683719e-15 4042.13739133292 6.84677822386038e-15 4045.09356926098 6.91939817007675e-15 4048.04974718904 6.95960131836875e-15 4051.00592511709 6.99158358839118e-15 4053.96210304515 7.0115443433097e-15 4056.91828097321 7.01682389966994e-15 4059.87445890126 7.04943932682044e-15 4062.83063682932 7.13252648268251e-15 4065.78681475738 7.20205857028967e-15 4068.74299268543 7.16204049869664e-15 4071.69917061349 7.19301818764362e-15 4074.65534854154 7.23184617794576e-15 4077.6115264696 7.22959645843785e-15 4080.56770439766 7.17288844965212e-15 4083.52388232571 7.23928736238739e-15 4086.48006025377 7.22150390565978e-15 4089.43623818183 7.15417156261665e-15 4092.39241610988 7.15493135117033e-15 4095.34859403794 7.17109104573805e-15 4098.304771966 7.15869133042319e-15 4101.26094989405 7.22915430723938e-15 4104.21712782211 7.27887175311142e-15 4107.17330575017 7.30223207476375e-15 4110.12948367822 7.26210219482168e-15 4113.08566160628 7.19771752643499e-15 4116.04183953433 7.24195551617124e-15 4118.99801746239 7.30037453151042e-15 4121.95419539045 7.38971533162207e-15 4124.9103733185 7.4306727627536e-15 4127.86655124656 7.3667988552341e-15 4130.82272917462 7.51110955252371e-15 4133.77890710267 7.53961983449535e-15 4136.73508503073 7.51128404131085e-15 4139.69126295879 7.5436127478087e-15 4142.64744088684 7.61317194047017e-15 4145.6036188149 7.59213164206038e-15 4148.55979674296 7.58451088663393e-15 4151.51597467101 7.5499078966727e-15 4154.47215259907 7.566411486617e-15 4157.42833052712 7.64553876345065e-15 4160.38450845518 7.66634189263522e-15 4163.34068638324 7.71838020878273e-15 4166.29686431129 7.66854163719924e-15 4169.25304223935 7.62354131781046e-15 4172.20922016741 7.57874767446081e-15 4175.16539809546 7.54176452191779e-15 4178.12157602352 7.57951847444281e-15 4181.07775395158 7.61931970560134e-15 4184.03393187963 7.63277905913321e-15 4186.99010980769 7.61703779884144e-15 4189.94628773575 7.60690897885817e-15 4192.9024656638 7.65871774907698e-15 4195.85864359186 7.69597534029491e-15 4198.81482151991 7.70869523406383e-15 4201.77099944797 7.6641099608192e-15 4204.72717737603 7.51192778635076e-15 4207.68335530408 7.55437006623883e-15 4210.63953323214 7.62545222413947e-15 4213.5957111602 7.60620340041311e-15 4216.55188908825 7.60958052077381e-15 4219.50806701631 7.58361896094047e-15 4222.46424494437 7.50647543526928e-15 4225.42042287242 7.47910102447992e-15 4228.37660080048 7.57047724476382e-15 4231.33277872854 7.49976947542587e-15 4234.28895665659 7.52879136529765e-15 4237.24513458465 7.5444301346028e-15 4240.20131251271 7.41272244053539e-15 4243.15749044076 7.34835471280764e-15 4246.11366836882 7.32946248995208e-15 4249.06984629687 7.28094613679925e-15 4252.02602422493 7.22506652623594e-15 4254.98220215299 7.18490445904187e-15 4257.93838008104 7.17332297755406e-15 4260.8945580091 7.34573992209947e-15 4263.85073593716 7.49600102584354e-15 4266.80691386521 7.53923782263613e-15 4269.76309179327 7.54722619036169e-15 4272.71926972133 7.60246967918161e-15 4275.67544764938 7.57172492429512e-15 4278.63162557744 7.54893889098104e-15 4281.58780350549 7.54334085023263e-15 4284.54398143355 7.49801103502737e-15 4287.50015936161 7.51761645962452e-15 4290.45633728966 7.47345724395236e-15 4293.41251521772 7.36640837304542e-15 4296.36869314578 7.33169357473515e-15 4299.32487107383 7.29672381950775e-15 4302.28104900189 7.25969408015264e-15 4305.23722692995 7.23018853446798e-15 4308.193404858 7.14217418795174e-15 4311.14958278606 7.16283670966706e-15 4314.10576071412 7.1851577218931e-15 4317.06193864217 7.13902576648679e-15 4320.01811657023 7.0629935480424e-15 4322.97429449828 7.04434315309328e-15 4325.93047242634 7.06004756745185e-15 4328.8866503544 7.00793005372377e-15 4331.84282828245 6.9726900949862e-15 4334.79900621051 6.99353049362045e-15 4337.75518413857 6.98982133634442e-15 4340.71136206662 6.94716518063717e-15 4343.66753999468 6.79074275923477e-15 4346.62371792274 6.79576989977672e-15 4349.57989585079 6.86922629102851e-15 4352.53607377885 6.79691635887083e-15 4355.49225170691 6.68930717566928e-15 4358.44842963496 6.77653251099516e-15 4361.40460756302 6.84270823054882e-15 4364.36078549108 6.83299149209439e-15 4367.31696341913 6.79738985028835e-15 4370.27314134719 6.82552150853256e-15 4373.22931927524 6.8304220176489e-15 4376.1854972033 6.79309835786108e-15 4379.14167513136 6.73025825405371e-15 4382.09785305941 6.73008927098073e-15 4385.05403098747 6.78104973770286e-15 4388.01020891553 6.74931776591635e-15 4390.96638684358 6.71239475271259e-15 4393.92256477164 6.71101493604151e-15 4396.8787426997 6.73429733066269e-15 4399.83492062775 6.84284206175449e-15 4402.79109855581 6.81243400246453e-15 4405.74727648386 6.73521424382809e-15 4408.70345441192 6.83870134119183e-15 4411.65963233998 6.84753462428227e-15 4414.61581026803 6.79302339544525e-15 4417.57198819609 6.80537906504685e-15 4420.52816612415 6.88942167407342e-15 4423.4843440522 6.95835745048571e-15 4426.44052198026 6.86594869703911e-15 4429.39669990832 6.840216259618e-15 4432.35287783637 6.9573956445741e-15 4435.30905576443 6.96403934749589e-15 4438.26523369249 6.91283747638379e-15 4441.22141162054 6.88770727938818e-15 4444.1775895486 6.85283705053209e-15 4447.13376747665 6.85742923965563e-15 4450.08994540471 6.95865094740193e-15 4453.04612333277 6.9684794942054e-15 4456.00230126082 6.93171699374514e-15 4458.95847918888 6.90295429595523e-15 4461.91465711694 6.91775026747787e-15 4464.87083504499 6.93408445083272e-15 4467.82701297305 6.90099807336354e-15 4470.78319090111 6.90618022093485e-15 4473.73936882916 6.9288159059008e-15 4476.69554675722 6.90387586780184e-15 4479.65172468528 6.92412630798832e-15 4482.60790261333 6.95787675928814e-15 4485.56408054139 6.98274649365248e-15 4488.52025846945 7.04343216915851e-15 4491.4764363975 7.12418829034974e-15 4494.43261432556 7.14877596274264e-15 4497.38879225361 7.07351581482967e-15 4500.34497018167 7.07660917915304e-15 4503.30114810973 7.14139068247552e-15 4506.25732603778 7.14466107668487e-15 4509.21350396584 7.1687168123869e-15 4512.1696818939 7.20668421721462e-15 4515.12585982195 7.3095572156916e-15 4518.08203775001 7.30715926541793e-15 4521.03821567807 7.30134523126797e-15 4523.99439360612 7.29564978173064e-15 4526.95057153418 7.39894460261535e-15 4529.90674946223 7.48628301683969e-15 4532.86292739029 7.46053490930905e-15 4535.81910531835 7.42743455579625e-15 4538.7752832464 7.45123194644936e-15 4541.73146117446 7.49562070805022e-15 4544.68763910252 7.48312443097938e-15 4547.64381703057 7.47188684486816e-15 4550.59999495863 7.53198976170648e-15 4553.55617288669 7.52811204487395e-15 4556.51235081474 7.45276846421568e-15 4559.4685287428 7.33582370738596e-15 4562.42470667086 7.37018275185838e-15 4565.38088459891 7.47087972269387e-15 4568.33706252697 7.53909636813394e-15 4571.29324045502 7.56345618866403e-15 4574.24941838308 7.51766728160136e-15 4577.20559631114 7.46722985772415e-15 4580.16177423919 7.40251569352098e-15 4583.11795216725 7.47363512087129e-15 4586.07413009531 7.4760533999357e-15 4589.03030802336 7.42739643931362e-15 4591.98648595142 7.45193498379558e-15 4594.94266387948 7.54896260790356e-15 4597.89884180753 7.56823938371717e-15 4600.85501973559 7.47231798463831e-15 4603.81119766365 7.4483054476166e-15 4606.7673755917 7.46854699395713e-15 4609.72355351976 7.41277241547928e-15 4612.67973144782 7.45584065271537e-15 4615.63590937587 7.48009713522589e-15 4618.59208730393 7.47386212570115e-15 4621.54826523198 7.48924593808918e-15 4624.50444316004 7.55773109297354e-15 4627.4606210881 7.58657425889344e-15 4630.41679901615 7.52111470569668e-15 4633.37297694421 7.49734696119672e-15 4636.32915487227 7.52715659170945e-15 4639.28533280032 7.52529904845612e-15 4642.24151072838 7.48865979128968e-15 4645.19768865644 7.55663587937274e-15 4648.15386658449 7.58952108651694e-15 4651.11004451255 7.55267515331138e-15 4654.06622244061 7.56533998993872e-15 4657.02240036866 7.51357950059791e-15 4659.97857829672 7.56584058641055e-15 4662.93475622477 7.70110835995527e-15 4665.89093415283 7.6357775557665e-15 4668.84711208089 7.59408320597085e-15 4671.80329000894 7.64910731325744e-15 4674.759467937 7.69108626612336e-15 4677.71564586506 7.7337072699633e-15 4680.67182379311 7.82783041809515e-15 4683.62800172117 7.90077689551269e-15 4686.58417964923 7.89716175889381e-15 4689.54035757728 7.88825436042048e-15 4692.49653550534 7.81146320045535e-15 4695.45271343339 7.73262137372492e-15 4698.40889136145 7.82045784332224e-15 4701.36506928951 7.91362299719075e-15 4704.32124721756 7.91903045552602e-15 4707.27742514562 7.91293097127284e-15 4710.23360307368 7.90737782327064e-15 4713.18978100173 7.90543896485437e-15 4716.14595892979 7.9552224792963e-15 4719.10213685785 7.9872886055805e-15 4722.0583147859 8.05744580350274e-15 4725.01449271396 8.0657407971552e-15 4727.97067064202 8.03720086903041e-15 4730.92684857007 8.03592100224711e-15 4733.88302649813 8.04776167581678e-15 4736.83920442619 8.10808820935318e-15 4739.79538235424 8.17354776254994e-15 4742.7515602823 8.15240412612057e-15 4745.70773821035 8.15016795913982e-15 4748.66391613841 8.21074267332977e-15 4751.62009406647 8.2206826049658e-15 4754.57627199452 8.26108438248393e-15 4757.53244992258 8.25097165612666e-15 4760.48862785064 8.23995429858173e-15 4763.44480577869 8.32543855768452e-15 4766.40098370675 8.36082674718786e-15 4769.35716163481 8.36572513872183e-15 4772.31333956286 8.3874837210709e-15 4775.26951749092 8.42426697383837e-15 4778.22569541898 8.46635265285564e-15 4781.18187334703 8.53940670345749e-15 4784.13805127509 8.56649989930836e-15 4787.09422920315 8.52335373504112e-15 4790.0504071312 8.5682159880595e-15 4793.00658505926 8.65823610859484e-15 4795.96276298731 8.70157454934111e-15 4798.91894091537 8.75398979515015e-15 4801.87511884343 8.76721367352269e-15 4804.83129677148 8.79940854881488e-15 4807.78747469954 8.81802209783079e-15 4810.7436526276 8.79098226505559e-15 4813.69983055565 8.84109104014926e-15 4816.65600848371 8.95990604572652e-15 4819.61218641176 8.93683879747394e-15 4822.56836433982 8.94570638539875e-15 4825.52454226788 9.04972118428863e-15 4828.48072019593 9.07217856881918e-15 4831.43689812399 8.98646306972178e-15 4834.39307605205 8.99121746565472e-15 4837.3492539801 9.05514219515105e-15 4840.30543190816 9.10655709504939e-15 4843.26160983622 9.14442285592345e-15 4846.21778776427 9.14095849116918e-15 4849.17396569233 9.23664865025344e-15 4852.13014362039 9.26594667286602e-15 4855.08632154844 9.24118789981778e-15 4858.0424994765 9.24239322770172e-15 4860.99867740456 9.26435086279339e-15 4863.95485533261 9.24983695324219e-15 4866.91103326067 9.26645319856848e-15 4869.86721118872 9.38090429040148e-15 4872.82338911678 9.4113627481518e-15 4875.77956704484 9.3685740317883e-15 4878.73574497289 9.33345943392692e-15 4881.69192290095 9.32075902191579e-15 4884.64810082901 9.37429489231405e-15 4887.60427875706 9.43032442770903e-15 4890.56045668512 9.53296872729026e-15 4893.51663461318 9.65744021888927e-15 4896.47281254123 9.72765162692013e-15 4899.42899046929 9.76451704188348e-15 4902.38516839735 9.77437311725773e-15 4905.3413463254 9.75902742135232e-15 4908.29752425346 9.76699122512241e-15 4911.25370218152 9.92835438970614e-15 4914.20988010957 9.99749430105872e-15 4917.16605803763 9.88896651062587e-15 4920.12223596568 9.91510425331224e-15 4923.07841389374 9.98058752343153e-15 4926.0345918218 1.00569594020878e-14 4928.99076974985 1.00400178961097e-14 4931.94694767791 1.00549468518051e-14 4934.90312560597 1.00921688676392e-14 4937.85930353402 1.01441970193914e-14 4940.81548146208 1.02145066832441e-14 4943.77165939014 1.02410594720746e-14 4946.72783731819 1.02812367858618e-14 4949.68401524625 1.02859725470699e-14 4952.6401931743 1.02879520630676e-14 4955.59637110236 1.02964164633095e-14 4958.55254903042 1.02964664382534e-14 4961.50872695847 1.0237680657648e-14 4964.46490488653 1.03071000898732e-14 4967.42108281459 1.03775266442727e-14 4970.37726074264 1.04102483740581e-14 4973.3334386707 1.04713651893342e-14 4976.28961659876 1.05235034553695e-14 4979.24579452681 1.0558873010148e-14 4982.20197245487 1.065588454063e-14 4985.15815038293 1.06679869473804e-14 4988.11432831098 1.05957833178576e-14 4991.07050623904 1.05444022992771e-14 4994.02668416709 1.05682539000389e-14 4996.98286209515 1.06207191207918e-14 4999.93904002321 1.06342360725641e-14 5002.89521795126 1.06751960447945e-14 5005.85139587932 1.07232338243321e-14 5008.80757380738 1.07859633903399e-14 5011.76375173543 1.07196898384808e-14 5014.71992966349 1.0647148242812e-14 5017.67610759155 1.07038333817082e-14 5020.6322855196 1.08038307033292e-14 5023.58846344766 1.07931563941279e-14 5026.54464137572 1.07641904084307e-14 5029.50081930377 1.07647350506158e-14 5032.45699723183 1.08070646751219e-14 5035.41317515989 1.08815620698658e-14 5038.36935308794 1.09260236763001e-14 5041.325531016 1.09329710405335e-14 5044.28170894405 1.08550507856497e-14 5047.23788687211 1.07951570859494e-14 5050.19406480017 1.0857053171537e-14 5053.15024272822 1.08151919562508e-14 5056.10642065628 1.07714647273817e-14 5059.06259858434 1.08056780821872e-14 5062.01877651239 1.08170215474168e-14 5064.97495444045 1.07641963376613e-14 5067.93113236851 1.07606743746666e-14 5070.88731029656 1.08277449845291e-14 5073.84348822462 1.08327738191369e-14 5076.79966615267 1.07497400263505e-14 5079.75584408073 1.0709843080469e-14 5082.71202200879 1.07153318539672e-14 5085.66819993684 1.06390082561889e-14 5088.6243778649 1.05944492409657e-14 5091.58055579296 1.05558008216483e-14 5094.53673372101 1.0490913015691e-14 5097.49291164907 1.04949025408725e-14 5100.44908957713 1.04449479257753e-14 5103.40526750518 1.03894994549821e-14 5106.36144543324 1.04529210469078e-14 5109.3176233613 1.0408162131909e-14 5112.27380128935 1.02661723048948e-14 5115.22997921741 1.02628705704664e-14 5118.18615714546 1.02391375543173e-14 5121.14233507352 1.01943574634948e-14 5124.09851300158 1.01809743429282e-14 5127.05469092963 1.01077805318901e-14 5130.01086885769 9.99971098628169e-15 5132.96704678575 9.99469909233278e-15 5135.9232247138 1.00352965344617e-14 5138.87940264186 9.9760287921094e-15 5141.83558056992 9.96527232071222e-15 5144.79175849797 9.98825147753828e-15 5147.74793642603 1.00275436418955e-14 5150.70411435409 9.95545097368881e-15 5153.66029228214 9.87662524058438e-15 5156.6164702102 9.84475562594393e-15 5159.57264813826 9.80632997629174e-15 5162.52882606631 9.78226915839204e-15 5165.48500399437 9.7595432644172e-15 5168.44118192242 9.73322679777896e-15 5171.39735985048 9.68723883797368e-15 5174.35353777854 9.68876180321284e-15 5177.30971570659 9.6552574149842e-15 5180.26589363465 9.52888687551744e-15 5183.22207156271 9.57665106341311e-15 5186.17824949076 9.52918333704898e-15 5189.13442741882 9.36397972508239e-15 5192.09060534688 9.31002965557292e-15 5195.04678327493 9.30315174804122e-15 5198.00296120299 9.16435438820529e-15 5200.95913913104 9.05524807426946e-15 5203.9153170591 9.24365869492492e-15 5206.87149498716 9.35002062211164e-15 5209.82767291521 9.26874526972375e-15 5212.78385084327 9.10520777156441e-15 5215.74002877133 8.93365903578995e-15 5218.69620669938 8.84937502237341e-15 5221.65238462744 8.84322048097866e-15 5224.6085625555 8.88628363601707e-15 5227.56474048355 8.84692286199111e-15 5230.52091841161 8.75964119897423e-15 5233.47709633967 8.69265275130768e-15 5236.43327426772 8.71503051474119e-15 5239.38945219578 8.77894846797395e-15 5242.34563012383 8.76811152844678e-15 5245.30180805189 8.67198260629583e-15 5248.25798597995 8.64641661084886e-15 5251.214163908 8.71020581507363e-15 5254.17034183606 8.71545996044545e-15 5257.12651976412 8.6814016126693e-15 5260.08269769217 8.68389273656718e-15 5263.03887562023 8.64588636822388e-15 5265.99505354829 8.63392711004159e-15 5268.95123147634 8.68309229043202e-15 5271.9074094044 8.68881738612251e-15 5274.86358733246 8.68850059580024e-15 5277.81976526051 8.68963900808135e-15 5280.77594318857 8.6634174091332e-15 5283.73212111663 8.60595045882673e-15 5286.68829904468 8.62734227590964e-15 5289.64447697274 8.70978060453411e-15 5292.60065490079 8.74921337636059e-15 5295.55683282885 8.72696351490211e-15 5298.51301075691 8.65020962438666e-15 5301.46918868496 8.56024879615763e-15 5304.42536661302 8.57347606266195e-15 5307.38154454108 8.57717929070734e-15 5310.33772246913 8.62604292736855e-15 5313.29390039719 8.54287445634355e-15 5316.25007832525 8.50870175911952e-15 5319.2062562533 8.5142438956934e-15 5322.16243418136 8.51435570404244e-15 5325.11861210941 8.49249124257496e-15 5328.07479003747 8.52325802031808e-15 5331.03096796553 8.48182201557135e-15 5333.98714589358 8.46444005246074e-15 5336.94332382164 8.46478479487028e-15 5339.8995017497 8.41861387594839e-15 5342.85567967775 8.45184382550213e-15 5345.81185760581 8.48129516107816e-15 5348.76803553387 8.48563705196578e-15 5351.72421346192 8.45457974192176e-15 5354.68039138998 8.46134584110442e-15 5357.63656931804 8.53787865602064e-15 5360.59274724609 8.57096715107218e-15 5363.54892517415 8.58406397450263e-15 5366.5051031022 8.56006753110691e-15 5369.46128103026 8.5217418313425e-15 5372.41745895832 8.45628481924458e-15 5375.37363688637 8.40500967978254e-15 5378.32981481443 8.39137668449648e-15 5381.28599274249 8.4104061266895e-15 5384.24217067054 8.50440645504399e-15 5387.1983485986 8.53164872869358e-15 5390.15452652666 8.50161124631805e-15 5393.11070445471 8.55318030621279e-15 5396.06688238277 8.59812218032821e-15 5399.02306031083 8.5667353744677e-15 5401.97923823888 8.53049761091827e-15 5404.93541616694 8.53490472334283e-15 5407.891594095 8.51888140107962e-15 5410.84777202305 8.57985930295246e-15 5413.80394995111 8.54158781329667e-15 5416.76012787916 8.53483696070705e-15 5419.71630580722 8.55483964375646e-15 5422.67248373528 8.46923849410694e-15 5425.62866166333 8.47438506629446e-15 5428.58483959139 8.52767445010507e-15 5431.54101751945 8.51427184778066e-15 5434.4971954475 8.51594219675265e-15 5437.45337337556 8.55695468502575e-15 5440.40955130362 8.5390949953329e-15 5443.36572923167 8.51901353821939e-15 5446.32190715973 8.46091978353196e-15 5449.27808508778 8.42608216544433e-15 5452.23426301584 8.45122040925295e-15 5455.1904409439 8.49542959986899e-15 5458.14661887195 8.49485700559665e-15 5461.10279680001 8.41141155479789e-15 5464.05897472807 8.42385785692484e-15 5467.01515265612 8.4369834794755e-15 5469.97133058418 8.41676395599159e-15 5472.92750851224 8.39699674810152e-15 5475.88368644029 8.35163389861131e-15 5478.83986436835 8.33062494042056e-15 5481.79604229641 8.35508979303611e-15 5484.75222022446 8.37155526649778e-15 5487.70839815252 8.33117805293512e-15 5490.66457608057 8.27489440765597e-15 5493.62075400863 8.28113365234544e-15 5496.57693193669 8.30782027238164e-15 5499.53310986474 8.28146314816192e-15 5502.4892877928 8.26051432931043e-15 5505.44546572086 8.2205411504636e-15 5508.40164364891 8.16576861196235e-15 5511.35782157697 8.13126303079005e-15 5514.31399950503 8.07421451475953e-15 5517.27017743308 8.00544983900258e-15 5520.22635536114 7.94571538149632e-15 5523.1825332892 7.91199669393202e-15 5526.13871121725 7.90959789662539e-15 5529.09488914531 7.89078444783393e-15 5532.05106707336 7.86540818776714e-15 5535.00724500142 7.89905657159681e-15 5537.96342292948 7.88049892675542e-15 5540.91960085753 7.89845348413837e-15 5543.87577878559 7.96170821057342e-15 5546.83195671365 7.93880782781146e-15 5549.7881346417 7.84481427572054e-15 5552.74431256976 7.87760207407581e-15 5555.70049049782 7.90466477674058e-15 5558.65666842587 7.88113758959765e-15 5561.61284635393 7.91205937437011e-15 5564.56902428199 7.84847684618447e-15 5567.52520221004 7.77522374284002e-15 5570.4813801381 7.81954812993689e-15 5573.43755806615 7.84393082035656e-15 5576.39373599421 7.80154020947827e-15 5579.34991392227 7.73772305316623e-15 5582.30609185032 7.72941704808546e-15 5585.26226977838 7.73595953057005e-15 5588.21844770644 7.67963268661059e-15 5591.17462563449 7.65718970164014e-15 5594.13080356255 7.62096125545312e-15 5597.08698149061 7.55584813873179e-15 5600.04315941866 7.51417496475983e-15 5602.99933734672 7.48392233601569e-15 5605.95551527478 7.50922744531491e-15 5608.91169320283 7.50210135712966e-15 5611.86787113089 7.55758794440545e-15 5614.82404905895 7.50779087743637e-15 5617.780226987 7.42234134668441e-15 5620.73640491506 7.48730707967292e-15 5623.69258284311 7.4587307291314e-15 5626.64876077117 7.43022468232451e-15 5629.60493869923 7.44279549829471e-15 5632.56111662728 7.34800319413453e-15 5635.51729455534 7.25225543680985e-15 5638.4734724834 7.25621446880532e-15 5641.42965041145 7.35022411452223e-15 5644.38582833951 7.36115846283834e-15 5647.34200626757 7.28984591197605e-15 5650.29818419562 7.25106620255191e-15 5653.25436212368 7.28769360125708e-15 5656.21054005173 7.33191126220259e-15 5659.16671797979 7.2532134310732e-15 5662.12289590785 7.16196680683023e-15 5665.0790738359 7.14241220420991e-15 5668.03525176396 7.19078625582761e-15 5670.99142969202 7.24561723960222e-15 5673.94760762007 7.26164479703017e-15 5676.90378554813 7.26812968127434e-15 5679.85996347619 7.27557764197955e-15 5682.81614140424 7.24407225150643e-15 5685.7723193323 7.1994581791416e-15 5688.72849726036 7.15719208210655e-15 5691.68467518841 7.14084604029044e-15 5694.64085311647 7.2186002767166e-15 5697.59703104452 7.16198035935738e-15 5700.55320897258 7.08353240294743e-15 5703.50938690064 7.07733932155358e-15 5706.46556482869 7.1167039072278e-15 5709.42174275675 7.14492535096442e-15 5712.37792068481 7.11837679729863e-15 5715.33409861286 7.09137169287426e-15 5718.29027654092 7.06144305423245e-15 5721.24645446898 7.00514627994262e-15 5724.20263239703 6.95481685276619e-15 5727.15881032509 6.92816411404788e-15 5730.11498825315 6.93574378837639e-15 5733.0711661812 6.91659745563665e-15 5736.02734410926 6.88239257116063e-15 5738.98352203732 6.89822615804365e-15 5741.93969996537 6.84573806740115e-15 5744.89587789343 6.78360142445647e-15 5747.85205582148 6.8296800167871e-15 5750.80823374954 6.89298471816605e-15 5753.7644116776 6.82870635241423e-15 5756.72058960565 6.77576806376026e-15 5759.67676753371 6.74324877484927e-15 5762.63294546177 6.73474329350942e-15 5765.58912338982 6.73915379406577e-15 5768.54530131788 6.68699774033859e-15 5771.50147924594 6.75305656934553e-15 5774.45765717399 6.81356267386675e-15 5777.41383510205 6.76573495850003e-15 5780.3700130301 6.73866336198931e-15 5783.32619095816 6.77038008718277e-15 5786.28236888622 6.77213132780122e-15 5789.23854681427 6.75889559096743e-15 5792.19472474233 6.71962163781856e-15 5795.15090267039 6.6897323862088e-15 5798.10708059844 6.71116020219196e-15 5801.0632585265 6.73716961938683e-15 5804.01943645456 6.7740363048996e-15 5806.97561438261 6.80130060140582e-15 5809.93179231067 6.83382200789917e-15 5812.88797023873 6.81942033021348e-15 5815.84414816678 6.77519674003734e-15 5818.80032609484 6.71908673651237e-15 5821.75650402289 6.74375487703526e-15 5824.71268195095 6.80518975318314e-15 5827.66885987901 6.86165042834827e-15 5830.62503780706 6.79032263089293e-15 5833.58121573512 6.80448036308981e-15 5836.53739366318 6.81150353677197e-15 5839.49357159123 6.83334428131692e-15 5842.44974951929 6.87625327635893e-15 5845.40592744735 6.89718176641969e-15 5848.3621053754 6.8687189182931e-15 5851.31828330346 6.82948392865981e-15 5854.27446123152 6.74565561896889e-15 5857.23063915957 6.70850390686937e-15 5860.18681708763 6.79965439287283e-15 5863.14299501569 6.89122246611928e-15 5866.09917294374 6.93055994673919e-15 5869.0553508718 6.94479221783543e-15 5872.01152879985 6.95293432204092e-15 5874.96770672791 6.92389633854314e-15 5877.92388465597 6.88967493692465e-15 5880.88006258402 6.93888924522602e-15 5883.83624051208 7.02405078477591e-15 5886.79241844014 7.08718015033478e-15 5889.74859636819 7.1075872916165e-15 5892.70477429625 7.09608034902805e-15 5895.66095222431 7.08355484932053e-15 5898.61713015236 7.1094693988253e-15 5901.57330808042 7.13386987693685e-15 5904.52948600848 7.10981414123483e-15 5907.48566393653 7.06428230867165e-15 5910.44184186459 7.01859631611207e-15 5913.39801979264 7.0780808988989e-15 5916.3541977207 7.17997388025591e-15 5919.31037564876 7.1993650055174e-15 5922.26655357681 7.19965214968652e-15 5925.22273150487 7.24044610345923e-15 5928.17890943293 7.2598135117982e-15 5931.13508736098 7.30172300796245e-15 5934.09126528904 7.38852525033118e-15 5937.0474432171 7.38365311681857e-15 5940.00362114515 7.4184873467744e-15 5942.95979907321 7.44633440194833e-15 5945.91597700126 7.42882030169796e-15 5948.87215492932 7.47144045850495e-15 5951.82833285738 7.49509300652408e-15 5954.78451078543 7.47240353496598e-15 5957.74068871349 7.52568529548006e-15 5960.69686664155 7.61516585602801e-15 5963.6530445696 7.6613494804441e-15 5966.60922249766 7.61784248014133e-15 5969.56540042572 7.60395198683931e-15 5972.52157835377 7.62815849440594e-15 5975.47775628183 7.61697765950219e-15 5978.43393420989 7.61331508903826e-15 5981.39011213794 7.62187774510205e-15 5984.346290066 7.64988573653596e-15 5987.30246799406 7.66117583868992e-15 5990.25864592211 7.62243932794608e-15 5993.21482385017 7.6555185056352e-15 5996.17100177822 7.73395545061685e-15 5999.12717970628 7.7751085463592e-15 6002.08335763434 7.76625281689565e-15 6005.03953556239 7.74850747665068e-15 6007.99571349045 7.75841013883703e-15 6010.95189141851 7.76769531400483e-15 6013.90806934656 7.7546095020027e-15 6016.86424727462 7.77106311700311e-15 6019.82042520268 7.85542929261553e-15 6022.77660313073 7.91764132149252e-15 6025.73278105879 7.91628606877691e-15 6028.68895898685 7.82729339920659e-15 6031.6451369149 7.78620044280349e-15 6034.60131484296 7.88942750105243e-15 6037.55749277101 7.93448711274751e-15 6040.51367069907 7.91436838618433e-15 6043.46984862713 7.98540480430581e-15 6046.42602655518 8.06866729598796e-15 6049.38220448324 8.10173800334761e-15 6052.3383824113 8.07416115168385e-15 6055.29456033935 7.99457563002573e-15 6058.25073826741 7.98412239642367e-15 6061.20691619547 8.05495213850602e-15 6064.16309412352 8.0852217079091e-15 6067.11927205158 8.10602991929135e-15 6070.07544997963 8.09532765800279e-15 6073.03162790769 8.05356131040663e-15 6075.98780583575 8.05964470103381e-15 6078.9439837638 8.12067596598232e-15 6081.90016169186 8.11707777002239e-15 6084.85633961992 8.08398165167432e-15 6087.81251754797 8.03391268712917e-15 6090.76869547603 7.99107823098652e-15 6093.72487340409 8.03580241763449e-15 6096.68105133214 8.07295497676696e-15 6099.6372292602 8.03484950556883e-15 6102.59340718826 8.01465200494155e-15 6105.54958511631 8.03141563400066e-15 6108.50576304437 8.07808460829553e-15 6111.46194097243 8.15353322103926e-15 6114.41811890048 8.16837916750579e-15 6117.37429682854 8.05772786547417e-15 6120.33047475659 8.03259978606093e-15 6123.28665268465 7.98729961700882e-15 6126.24283061271 7.96230028660356e-15 6129.19900854076 7.96613395772283e-15 6132.15518646882 8.04299542142258e-15 6135.11136439688 8.00829671673831e-15 6138.06754232493 7.99099606879064e-15 6141.02372025299 7.9735150028252e-15 6143.97989818105 7.92113787349879e-15 6146.9360761091 7.93508427097533e-15 6149.89225403716 7.97190648725837e-15 6152.84843196522 7.92165456359661e-15 6155.80460989327 7.88870244084958e-15 6158.76078782133 7.91272514226666e-15 6161.71696574939 7.82368334478539e-15 6164.67314367744 7.75753176567072e-15 6167.6293216055 7.78843322165245e-15 6170.58549953355 7.76616980766682e-15 6173.54167746161 7.71433816755844e-15 6176.49785538967 7.71135407048526e-15 6179.45403331772 7.75489241100708e-15 6182.41021124578 7.79396858196276e-15 6185.36638917384 7.75865493135878e-15 6188.32256710189 7.64927417874805e-15 6191.27874502995 7.59942628980213e-15 6194.234922958 7.62011168140703e-15 6197.19110088606 7.6549967333397e-15 6200.14727881412 7.65340600546475e-15 6203.10345674217 7.61798478167647e-15 6206.05963467023 7.62409104219323e-15 6209.01581259829 7.63529051182182e-15 6211.97199052634 7.60552577405531e-15 6214.9281684544 7.55573124818507e-15 6217.88434638246 7.49307960920846e-15 6220.84052431051 7.51380989355956e-15 6223.79670223857 7.47884098536511e-15 6226.75288016663 7.41020675268204e-15 6229.70905809468 7.42003233487019e-15 6232.66523602274 7.41070480805503e-15 6235.6214139508 7.38328211638767e-15 6238.57759187885 7.39126709598144e-15 6241.53376980691 7.41228621856755e-15 6244.48994773496 7.46905690779138e-15 6247.44612566302 7.49821601700061e-15 6250.40230359108 7.45756775289482e-15 6253.35848151913 7.39061657467795e-15 6256.31465944719 7.29962998954978e-15 6259.27083737525 7.21137000347883e-15 6262.2270153033 7.16192614924876e-15 6265.18319323136 7.12468465165683e-15 6268.13937115942 7.10119558099652e-15 6271.09554908747 7.1385742979259e-15 6274.05172701553 7.14413337515873e-15 6277.00790494359 7.08683879605703e-15 6279.96408287164 7.00596747838498e-15 6282.9202607997 7.03186593426375e-15 6285.87643872776 7.10868758741498e-15 6288.83261665581 7.12178864601017e-15 6291.78879458387 7.14241813344054e-15 6294.74497251192 7.10834877423608e-15 6297.70115043998 7.00097803080918e-15 6300.65732836804 6.95338790818417e-15 6303.61350629609 6.98675846520715e-15 6306.56968422415 6.96470384484301e-15 6309.52586215221 6.88069172900254e-15 6312.48204008026 6.8940388506689e-15 6315.43821800832 6.93777836151569e-15 6318.39439593638 6.90293396716449e-15 6321.35057386443 6.85554035618325e-15 6324.30675179249 6.83824436691679e-15 6327.26292972054 6.80954985527913e-15 6330.2191076486 6.80173343524187e-15 6333.17528557666 6.80374725607396e-15 6336.13146350471 6.8022869712729e-15 6339.08764143277 6.81721338586941e-15 6342.04381936083 6.75241833001977e-15 6344.99999728888 6.69078524816223e-15 6347.95617521694 6.72493888714495e-15 6350.912353145 6.70722573415197e-15 6353.86853107305 6.61690534043682e-15 6356.82470900111 6.60730125736438e-15 6359.78088692917 6.66057285348309e-15 6362.73706485722 6.63969815001449e-15 6365.69324278528 6.56065515295908e-15 6368.64942071333 6.50124256797277e-15 6371.60559864139 6.46745950590448e-15 6374.56177656945 6.49376623166383e-15 6377.5179544975 6.50940711855136e-15 6380.47413242556 6.54057750749384e-15 6383.43031035362 6.51333692791014e-15 6386.38648828167 6.48475549517094e-15 6389.34266620973 6.4930216897032e-15 6392.29884413779 6.47982957506618e-15 6395.25502206584 6.42013746920728e-15 6398.2111999939 6.3104297618789e-15 6401.16737792196 6.25383991418932e-15 6404.12355585001 6.30127926494971e-15 6407.07973377807 6.36137201739267e-15 6410.03591170613 6.38249236041598e-15 6412.99208963418 6.34426872812171e-15 6415.94826756224 6.32997165900501e-15 6418.90444549029 6.33359399540394e-15 6421.86062341835 6.30692177492785e-15 6424.81680134641 6.26523631897815e-15 6427.77297927446 6.19876922009063e-15 6430.72915720252 6.19352142746592e-15 6433.68533513058 6.22089456770586e-15 6436.64151305863 6.21698508713781e-15 6439.59769098669 6.24771840707951e-15 6442.55386891475 6.23176623558387e-15 6445.5100468428 6.15089957659303e-15 6448.46622477086 6.11997525072172e-15 6451.42240269891 6.08533964999202e-15 6454.37858062697 6.05700639790636e-15 6457.33475855503 6.12512902268929e-15 6460.29093648308 6.15899085882167e-15 6463.24711441114 6.14932451882761e-15 6466.2032923392 6.15928054408963e-15 6469.15947026725 6.0553758594829e-15 6472.11564819531 5.94342266781135e-15 6475.07182612337 5.93044104086173e-15 6478.02800405142 5.91537698341128e-15 6480.98418197948 5.94625556950344e-15 6483.94035990754 5.96320427526153e-15 6486.89653783559 5.94213898937978e-15 6489.85271576365 5.91607959724103e-15 6492.8088936917 5.89217505692009e-15 6495.76507161976 5.86490864283151e-15 6498.72124954782 5.84770074499156e-15 6501.67742747587 5.8408092849327e-15 6504.63360540393 5.83193788535963e-15 6507.58978333199 5.83456792266086e-15 6510.54596126004 5.83196499041394e-15 6513.5021391881 5.80564810025923e-15 6516.45831711616 5.77032047361162e-15 6519.41449504421 5.73956131916502e-15 6522.37067297227 5.71970263171665e-15 6525.32685090033 5.70163160730345e-15 6528.28302882838 5.69471346570675e-15 6531.23920675644 5.69860897023117e-15 6534.1953846845 5.69187971698171e-15 6537.15156261255 5.67226666908804e-15 6540.10774054061 5.64321301548074e-15 6543.06391846866 5.6111265604058e-15 6546.02009639672 5.58607471395781e-15 6548.97627432478 5.56301212438644e-15 6551.93245225283 5.54417877032072e-15 6554.88863018089 5.53552294063273e-15 6557.84480810895 5.53801872321181e-15 6560.800986037 5.53597525622656e-15 6563.75716396506 5.5249646749452e-15 6566.71334189312 5.51027331199155e-15 6569.66951982117 5.4787281109699e-15 6572.62569774923 5.44688178973551e-15 6575.58187567728 5.44991459120315e-15 6578.53805360534 5.43596141746303e-15 6581.4942315334 5.3954359731346e-15 6584.45040946145 5.39522802654605e-15 6587.40658738951 5.39942846293148e-15 6590.36276531757 5.39364068680289e-15 6593.31894324562 5.40696324451378e-15 6596.27512117368 5.40228423451315e-15 6599.23129910174 5.40456995292132e-15 6602.18747702979 5.38189742202216e-15 6605.14365495785 5.34263702140045e-15 6608.09983288591 5.30631497807276e-15 6611.05601081396 5.21147820468286e-15 6614.01218874202 5.14013812524979e-15 6616.96836667007 5.16922947182323e-15 6619.92454459813 5.22804955726294e-15 6622.88072252619 5.24441846896863e-15 6625.83690045424 5.28687176028502e-15 6628.7930783823 5.31284899022788e-15 6631.74925631036 5.22765611045894e-15 6634.70543423841 5.19073140318928e-15 6637.66161216647 5.22247226882174e-15 6640.61779009453 5.2366689645342e-15 6643.57396802258 5.17416386225746e-15 6646.53014595064 5.10578373945857e-15 6649.4863238787 5.16524926400409e-15 6652.44250180675 5.2402260793962e-15 6655.39867973481 5.22259212398378e-15 6658.35485766287 5.17310676513929e-15 6661.31103559092 5.12229452918293e-15 6664.26721351898 5.06014433371109e-15 6667.22339144703 5.02403870730143e-15 6670.17956937509 5.06047721765936e-15 6673.13574730315 5.0831404311961e-15 6676.0919252312 5.05582234809772e-15 6679.04810315926 5.07149838685256e-15 6682.00428108732 5.07552391093439e-15 6684.96045901537 5.02995480892152e-15 6687.91663694343 4.98115639379726e-15 6690.87281487149 4.98496126579632e-15 6693.82899279954 5.01926567664365e-15 6696.7851707276 4.90557267929844e-15 6699.74134865565 4.77667967571475e-15 6702.69752658371 4.8113868507285e-15 6705.65370451177 4.87054447879769e-15 6708.60988243982 4.88264307389979e-15 6711.56606036788 4.91886855547149e-15 6714.52223829594 4.92533607554025e-15 6717.47841622399 4.88639119469139e-15 6720.43459415205 4.84442367677026e-15 6723.39077208011 4.78305359864284e-15 6726.34695000816 4.78171571010265e-15 6729.30312793622 4.81241768982531e-15 6732.25930586428 4.81753673344204e-15 6735.21548379233 4.81685656598539e-15 6738.17166172039 4.84345763569391e-15 6741.12783964844 4.8612478686851e-15 6744.0840175765 4.85622030462667e-15 6747.04019550456 4.8366521494792e-15 6749.99637343261 4.76896828776295e-15 6752.95255136067 4.72446305913184e-15 6755.90872928873 4.7366700744512e-15 6758.86490721678 4.73283470926603e-15 6761.82108514484 4.73521741294666e-15 6764.7772630729 4.77794302535558e-15 6767.73344100095 4.81443871043746e-15 6770.68961892901 4.81154270479079e-15 6773.64579685707 4.76442480303388e-15 6776.60197478512 4.67988710324964e-15 6779.55815271318 4.58943923107593e-15 6782.51433064124 4.52016930016595e-15 6785.47050856929 4.54207018405015e-15 6788.42668649735 4.56934549198469e-15 6791.3828644254 4.58402753757592e-15 6794.33904235346 4.58972341062973e-15 6797.29522028152 4.55902566607182e-15 6800.25139820957 4.5057218827011e-15 6803.20757613763 4.44473678104821e-15 6806.16375406569 4.37406162247874e-15 6809.11993199374 4.28115989585683e-15 6812.0761099218 4.24354316266927e-15 6815.03228784986 4.24655817644502e-15 6817.98846577791 4.21301313063491e-15 6820.94464370597 4.17420885725529e-15 6823.90082163402 4.23673513535571e-15 6826.85699956208 4.28915969852717e-15 6829.81317749014 4.27080491807665e-15 6832.76935541819 4.21165025462278e-15 6835.72553334625 4.10630137884097e-15 6838.68171127431 4.04706624725711e-15 6841.63788920236 4.04380093524544e-15 6844.59406713042 4.03684721826496e-15 6847.55024505848 4.06726713601618e-15 6850.50642298653 4.09765020783419e-15 6853.46260091459 4.0953568661295e-15 6856.41877884265 4.10471996832844e-15 6859.3749567707 4.09173156511525e-15 6862.33113469876 4.05371333831069e-15 6865.28731262682 3.9928663030282e-15 6868.24349055487 3.94001398821837e-15 6871.19966848293 3.92374417936751e-15 6874.15584641098 3.93325635936518e-15 6877.11202433904 3.93569793183564e-15 6880.0682022671 3.94932245679222e-15 6883.02438019515 3.97518152563895e-15 6885.98055812321 3.94214469959719e-15 6888.93673605127 3.89216509702798e-15 6891.89291397932 3.90496757650925e-15 6894.84909190738 3.89984175662894e-15 6897.80526983544 3.8423887823661e-15 6900.76144776349 3.7782387421058e-15 6903.71762569155 3.80684008011926e-15 6906.6738036196 3.88232045659851e-15 6909.62998154766 3.92963571703214e-15 6912.58615947572 3.95545074016561e-15 6915.54233740377 3.93641452170902e-15 6918.49851533183 3.92596933491995e-15 6921.45469325989 3.90990535507527e-15 6924.41087118794 3.83985530682087e-15 6927.367049116 3.74516168199905e-15 6930.32322704406 3.65340048524062e-15 6933.27940497211 3.65222183889452e-15 6936.23558290017 3.69413260560818e-15 6939.19176082823 3.66205207976388e-15 6942.14793875628 3.68571521569484e-15 6945.10411668434 3.75761518390605e-15 6948.06029461239 3.75396193080454e-15 6951.01647254045 3.73030938278542e-15 6953.97265046851 3.6811696133834e-15 6956.92882839656 3.61973685481789e-15 6959.88500632462 3.59272116248169e-15 6962.84118425268 3.55658334882003e-15 6965.79736218073 3.48763529043001e-15 6968.75354010879 3.45845437012238e-15 6971.70971803685 3.51808548960909e-15 6974.6658959649 3.60211941654795e-15 6977.62207389296 3.64639128760209e-15 6980.57825182102 3.61995623635123e-15 6983.53442974907 3.54832753044138e-15 6986.49060767713 3.49251780009622e-15 6989.44678560519 3.44897903605792e-15 6992.40296353324 3.39690832090018e-15 6995.3591414613 3.33797494480377e-15 6998.31531938935 3.31858000789402e-15 7001.27149731741 3.33055027750462e-15 7004.22767524547 3.3922710272722e-15 7007.18385317352 3.43198607282835e-15 7010.14003110158 3.40535260410959e-15 7013.09620902964 3.45005603845036e-15 7016.05238695769 3.45726513586444e-15 7019.00856488575 3.39454785183442e-15 7021.96474281381 3.36145385106872e-15 7024.92092074186 3.34471923288805e-15 7027.87709866992 3.32153721167112e-15 7030.83327659797 3.28611111744339e-15 7033.78945452603 3.26335218918362e-15 7036.74563245409 3.30955614239045e-15 7039.70181038214 3.34479186596328e-15 7042.6579883102 3.30998262347939e-15 7045.61416623826 3.28902131089192e-15 7048.57034416631 3.26679410756479e-15 7051.52652209437 3.21598081281724e-15 7054.48270002243 3.19695200589893e-15 7057.43887795048 3.16057172905612e-15 7060.39505587854 3.15591135378033e-15 7063.3512338066 3.17524106915315e-15 7066.30741173465 3.17348792271057e-15 7069.26358966271 3.18245503700668e-15 7072.21976759076 3.19636331800059e-15 7075.17594551882 3.20328633003674e-15 7078.13212344688 3.19786256631723e-15 7081.08830137493 3.1901067091357e-15 7084.04447930299 3.15985852731454e-15 7087.00065723105 3.1218398769935e-15 7089.9568351591 3.10748330381225e-15 7092.91301308716 3.09401823280799e-15 7095.86919101522 3.11137160855662e-15 7098.82536894327 3.11408889025141e-15 7101.78154687133 3.1171426557845e-15 7104.73772479939 3.10060200814876e-15 7107.69390272744 2.96301548191092e-15 7110.6500806555 2.86172643504531e-15 7113.60625858356 2.88120099305211e-15 7116.56243651161 2.89834853979456e-15 7119.51861443967 2.90188956103055e-15 7122.47479236772 2.91464270084265e-15 7125.43097029578 2.90372698725139e-15 7128.38714822384 2.89468088713295e-15 7131.34332615189 2.93326704952864e-15 7134.29950407995 2.99964542171494e-15 7137.25568200801 3.05346780100761e-15 7140.21185993606 3.08662935265085e-15 7143.16803786412 3.01579537540376e-15 7146.12421579218 2.91256577605598e-15 7149.08039372023 2.89786996617936e-15 7152.03657164829 2.90702914519626e-15 7154.99274957635 2.89072206689572e-15 7157.9489275044 2.88657711116833e-15 7160.90510543246 2.9061780888425e-15 7163.86128336051 2.92514845048745e-15 7166.81746128857 2.9383166364437e-15 7169.77363921663 2.95727852775917e-15 7172.72981714468 2.96012053505545e-15 7175.68599507274 2.93893539401167e-15 7178.6421730008 2.92814546481307e-15 7181.59835092885 2.91894668700589e-15 7184.55452885691 2.90848074790961e-15 7187.51070678497 2.90298583342254e-15 7190.46688471302 2.8736149659765e-15 7193.42306264108 2.8375275507752e-15 7196.37924056913 2.8535220739182e-15 7199.33541849719 2.8760590795458e-15 7202.29159642525 2.89997738415213e-15 7205.2477743533 2.93695227812391e-15 7208.20395228136 2.92587774585503e-15 7211.16013020942 2.88069700844849e-15 7214.11630813747 2.855191364099e-15 7217.07248606553 2.86831592785847e-15 7220.02866399359 2.90255278782825e-15 7222.98484192164 2.954836320014e-15 7225.9410198497 3.01748075921056e-15 7228.89719777776 3.06187714410795e-15 7231.85337570581 3.09547428244432e-15 7234.80955363387 3.1180043000501e-15 7237.76573156193 3.11171804503205e-15 7240.72190948998 3.0560084763329e-15 7243.67808741804 2.96028951812842e-15 7246.63426534609 2.89502202965245e-15 7249.59044327415 2.89047473327512e-15 7252.54662120221 2.92125252244655e-15 7255.50279913026 2.97429923131777e-15 7258.45897705832 3.0368261446929e-15 7261.41515498638 3.08133772607111e-15 7264.37133291443 3.08954738115414e-15 7267.32751084249 3.06931028173658e-15 7270.28368877055 3.02773853996005e-15 7273.2398666986 2.97509184239817e-15 7276.19604462666 2.96895530045355e-15 7279.15222255472 3.07017891402399e-15 7282.10840048277 3.17490987927077e-15 7285.06457841083 3.13139334984734e-15 7288.02075633888 3.03540101175915e-15 7290.97693426694 3.02098684033748e-15 7293.933112195 3.05461891878293e-15 7296.88929012305 3.07129382114081e-15 7299.84546805111 3.04667862017713e-15 7302.80164597917 2.99010888952004e-15 7305.75782390722 2.92020389565785e-15 7308.71400183528 2.84077486333674e-15 7311.67017976334 2.78248374997259e-15 7314.62635769139 2.7603931307082e-15 7317.58253561945 2.77113922595178e-15 7320.5387135475 2.77968832948841e-15 7323.49489147556 2.75394869228725e-15 7326.45106940362 2.76844841403659e-15 7329.40724733167 2.84527959630847e-15 7332.36342525973 2.93901395631753e-15 7335.31960318779 2.98010310107236e-15 7338.27578111584 2.97334907210919e-15 7341.2319590439 2.97582177304046e-15 7344.18813697196 2.98323606418602e-15 7347.14431490001 2.95838454103005e-15 7350.10049282807 2.87138134009459e-15 7353.05667075613 2.78786939720947e-15 7356.01284868418 2.76780572778786e-15 7358.96902661224 2.79701925886395e-15 7361.9252045403 2.86054524760036e-15 7364.88138246835 2.90316561616559e-15 7367.83756039641 2.92188377375049e-15 7370.79373832446 2.96877276485341e-15 7373.74991625252 2.98458835228631e-15 7376.70609418058 2.93917086917101e-15 7379.66227210863 2.88713530588057e-15 7382.61845003669 2.8352721137949e-15 7385.57462796475 2.79602950086508e-15 7388.5308058928 2.80443778517424e-15 7391.48698382086 2.82925669756174e-15 7394.44316174892 2.83554930532689e-15 7397.39933967697 2.87615225317e-15 7400.35551760503 2.95542077274761e-15 7403.31169553309 2.9932786985669e-15 7406.26787346114 2.99632971124291e-15 7409.2240513892 2.97549185370751e-15 7412.18022931725 2.95105325911333e-15 7415.13640724531 2.9208277354235e-15 7418.09258517337 2.85842321830925e-15 7421.04876310142 2.8391542775504e-15 7424.00494102948 2.8865406887516e-15 7426.96111895754 2.90825374307975e-15 7429.91729688559 2.90850742944745e-15 7432.87347481365 2.93948871828446e-15 7435.82965274171 2.99840748306252e-15 7438.78583066976 3.05041022382626e-15 7441.74200859782 3.06035375535231e-15 7444.69818652587 3.0617807941102e-15 7447.65436445393 2.99087100741433e-15 7450.61054238199 2.89168853148853e-15 7453.56672031004 2.87272579314012e-15 7456.5228982381 2.90465512360334e-15 7459.47907616616 2.95224503447011e-15 7462.43525409421 2.98641942576003e-15 7465.39143202227 3.00797747305884e-15 7468.34760995033 3.03927534045989e-15 7471.30378787838 3.07228548496381e-15 7474.25996580644 3.08359062195257e-15 7477.2161437345 3.03398329036368e-15 7480.17232166255 2.95644038865786e-15 7483.12849959061 2.94615105593109e-15 7486.08467751867 2.9708998763422e-15 7489.04085544672 2.96429132528773e-15 7491.99703337478 2.93354762919242e-15 7494.95321130283 2.92254170659227e-15 7497.90938923089 2.93642775297132e-15 7500.86556715895 2.97911757823823e-15 7503.821745087 3.04174041809463e-15 7506.77792301506 3.06767381408248e-15 7509.73410094312 3.05688028499386e-15 7512.69027887117 3.01544110387357e-15 7515.64645679923 2.95120064284615e-15 7518.60263472729 2.96512099405956e-15 7521.55881265534 2.99384303426801e-15 7524.5149905834 2.9967610627713e-15 7527.47116851146 2.98994075348001e-15 7530.42734643951 3.04120678733786e-15 7533.38352436757 3.17507907410198e-15 7536.33970229563 3.25827168556599e-15 7539.29588022368 3.2753131414318e-15 7542.25205815174 3.29839500100271e-15 7545.20823607979 3.25629492242533e-15 7548.16441400785 3.12803867585974e-15 7551.12059193591 3.03577222394828e-15 7554.07676986396 3.01871530973118e-15 7557.03294779202 3.04976203186337e-15 7559.98912572008 3.11533402868388e-15 7562.94530364813 3.1836389773087e-15 7565.90148157619 3.29329692145143e-15 7568.85765950425 3.34004826970042e-15 7571.8138374323 3.28052324109036e-15 7574.77001536036 3.2434869372299e-15 7577.72619328841 3.22411190559441e-15 7580.68237121647 3.17388920456933e-15 7583.63854914453 3.11807206268588e-15 7586.59472707258 3.08399995062433e-15 7589.55090500064 3.1246998837399e-15 7592.5070829287 3.21572712644953e-15 7595.46326085675 3.28990984845359e-15 7598.41943878481 3.36509079878599e-15 7601.37561671287 3.3700319654838e-15 7604.33179464092 3.3000452329422e-15 7607.28797256898 3.21556830777192e-15 7610.24415049704 3.17069970200644e-15 7613.20032842509 3.1559623875154e-15 7616.15650635315 3.07321806823873e-15 7619.1126842812 2.98760315430382e-15 7622.06886220926 3.04074346031572e-15 7625.02504013732 3.18418446652673e-15 7627.98121806537 3.3042052235044e-15 7630.93739599343 3.32641188628257e-15 7633.89357392149 3.30830168659556e-15 7636.84975184954 3.32008264434245e-15 7639.8059297776 3.30185216597693e-15 7642.76210770566 3.24934162896132e-15 7645.71828563371 3.26159036065333e-15 7648.67446356177 3.26063236638998e-15 7651.63064148982 3.19690880721862e-15 7654.58681941788 3.19308826511003e-15 7657.54299734594 3.24476722752967e-15 7660.499175274 3.29974072459766e-15 7663.45535320205 3.39981851434871e-15 7666.41153113011 3.47685383156088e-15 7669.36770905816 3.47921790051667e-15 7672.32388698622 3.43900204673045e-15 7675.28006491428 3.36607928623544e-15 7678.23624284233 3.31035277687734e-15 7681.19242077039 3.23320416900847e-15 7684.14859869845 3.16546821476596e-15 7687.1047766265 3.20176315303934e-15 7690.06095455456 3.29369248583779e-15 7693.01713248262 3.32158549254911e-15 7695.97331041067 3.34621445779819e-15 7698.92948833873 3.43467984935885e-15 7701.88566626678 3.46462013470369e-15 7704.84184419484 3.4519366633515e-15 7707.7980221229 3.43984124462295e-15 7710.75420005095 3.36955635648391e-15 7713.71037797901 3.26461977398918e-15 7716.66655590707 3.18821867269627e-15 7719.62273383512 3.18170414229893e-15 7722.57891176318 3.20041954702675e-15 7725.53508969124 3.22770777221374e-15 7728.49126761929 3.26855847719392e-15 7731.44744554735 3.34983658243889e-15 7734.40362347541 3.41513223476035e-15 7737.35980140346 3.37038835459636e-15 7740.31597933152 3.34989629826167e-15 7743.27215725957 3.35564849900647e-15 7746.22833518763 3.27729858666016e-15 7749.18451311569 3.17625750868985e-15 7752.14069104374 3.11123311866974e-15 7755.0968689718 3.11749502149056e-15 7758.05304689986 3.15631051805672e-15 7761.00922482791 3.17727860690777e-15 7763.96540275597 3.17813601600863e-15 7766.92158068403 3.22552877995692e-15 7769.87775861208 3.29641993192795e-15 7772.83393654014 3.2947514887801e-15 7775.79011446819 3.24684881099755e-15 7778.74629239625 3.1493157199783e-15 7781.70247032431 3.05441287801851e-15 7784.65864825237 3.01578372870074e-15 7787.61482618042 3.00118956277778e-15 7790.57100410848 3.02634135911355e-15 7793.52718203653 3.09263651031278e-15 7796.48335996459 3.15516829412735e-15 7799.43953789265 3.21603184655231e-15 7802.3957158207 3.27428653749972e-15 7805.35189374876 3.30345242297253e-15 7808.30807167682 3.24549292300723e-15 7811.26424960487 3.11774616675942e-15 7814.22042753293 3.05361941990516e-15 7817.17660546099 3.02491876727864e-15 7820.13278338904 3.02379051939289e-15 7823.0889613171 3.06491926293801e-15 7826.04513924515 3.14046824908599e-15 7829.00131717321 3.21329211848442e-15 7831.95749510127 3.23208862661694e-15 7834.91367302932 3.26306250391566e-15 7837.86985095738 3.2990777095582e-15 7840.82602888544 3.25723618778797e-15 7843.78220681349 3.21009838075679e-15 7846.73838474155 3.19044721638049e-15 7849.69456266961 3.11708378699467e-15 7852.65074059766 3.07394270492511e-15 7855.60691852572 3.09775110700653e-15 7858.56309645378 3.09247599756927e-15 7861.51927438183 3.16142892639875e-15 7864.47545230989 3.27684245941806e-15 7867.43163023794 3.34554509001162e-15 7870.387808166 3.396622023764e-15 7873.34398609406 3.41927316708124e-15 7876.30016402211 3.39930140073441e-15 7879.25634195017 3.36904157221022e-15 7882.21251987823 3.30120842093702e-15 7885.16869780628 3.22058930732501e-15 7888.12487573434 3.23281072220447e-15 7891.0810536624 3.2956379087594e-15 7894.03723159045 3.38089113962583e-15 7896.99340951851 3.476181499159e-15 7899.94958744656 3.52192551347546e-15 7902.90576537462 3.58328775654812e-15 7905.86194330268 3.57007065443916e-15 7908.81812123074 3.45817251990919e-15 7911.77429915879 3.38102412379855e-15 7914.73047708685 3.37395944550198e-15 7917.6866550149 3.37292902992164e-15 7920.64283294296 3.34032736705654e-15 7923.59901087102 3.38225401563797e-15 7926.55518879907 3.52673644885763e-15 7929.51136672713 3.60707964148707e-15 7932.46754465519 3.69729839124855e-15 7935.42372258324 3.75076268736277e-15 7938.3799005113 3.76968667395385e-15 7941.33607843936 3.75698837952508e-15 7944.29225636741 3.6833697814639e-15 7947.24843429547 3.6206359802914e-15 7950.20461222352 3.62148894246929e-15 7953.16079015158 3.62466489250502e-15 7956.11696807964 3.63600581663581e-15 7959.07314600769 3.7293670586316e-15 7962.02932393575 3.84075062064611e-15 7964.98550186381 3.90955298936921e-15 7967.94167979186 3.95191903629203e-15 7970.89785771992 4.04487539653903e-15 7973.85403564798 4.02538940358745e-15 7976.81021357603 3.94112063676396e-15 7979.76639150409 3.87476238161016e-15 7982.72256943215 3.75695449820719e-15 7985.6787473602 3.77749377662869e-15 7988.63492528826 3.90109790648972e-15 7991.59110321631 3.92148853062897e-15 7994.54728114437 3.99375187597455e-15 7997.50345907243 4.14267551469491e-15 8000.45963700048 4.23547136219841e-15 8003.41581492854 4.19700547848122e-15 8006.3719928566 4.12330048305942e-15 8009.32817078465 4.04528112532077e-15 8012.28434871271 3.99524646560998e-15 8015.24052664077 3.97884070797109e-15 8018.19670456882 3.9191884126607e-15 8021.15288249688 3.88271432691899e-15 8024.10906042493 4.02984860853827e-15 8027.06523835299 4.27409182942847e-15 8030.02141628105 4.3965075720645e-15 8032.97759420911 4.44415868106171e-15 8035.93377213716 4.49801007123283e-15 8038.88995006522 4.42154459543592e-15 8041.84612799327 4.306096545824e-15 8044.80230592133 4.19717784968599e-15 8047.75848384939 4.03728852243048e-15 8050.71466177744 3.97281957426553e-15 8053.6708397055 4.08806052432185e-15 8056.62701763356 4.25146842644025e-15 8059.58319556161 4.43249461386155e-15 8062.53937348967 4.59389377734554e-15 8065.49555141773 4.6458397669018e-15 8068.45172934578 4.604918758187e-15 8071.40790727384 4.51067533137665e-15 8074.36408520189 4.48705539412599e-15 8077.32026312995 4.49320739442189e-15 8080.27644105801 4.40402922463612e-15 8083.23261898607 4.28720940516612e-15 8086.18879691412 4.29997038003298e-15 8089.14497484218 4.38200382690867e-15 8092.10115277023 4.51386102229127e-15 8095.05733069829 4.68711398835561e-15 8098.01350862635 4.84777115097781e-15 8100.9696865544 4.93396098852567e-15 8103.92586448246 4.87709712567765e-15 8106.88204241052 4.76911270688046e-15 8109.83822033857 4.68477575390472e-15 8112.79439826663 4.56072947284522e-15 8115.75057619468 4.46568814099855e-15 8118.70675412274 4.48243144126692e-15 8121.6629320508 4.57710346674859e-15 8124.61910997885 4.63818089499273e-15 8127.57528790691 4.63810635609337e-15 8130.53146583497 4.68773486350595e-15 8133.48764376302 4.86294828732671e-15 8136.44382169108 5.000623752024e-15 8139.39999961914 4.97067605514088e-15 8142.35617754719 4.88668596215704e-15 8145.31235547525 4.8035886418996e-15 8148.2685334033 4.72416744463325e-15 8151.22471133136 4.66002926283421e-15 8154.18088925942 4.60200200023313e-15 8157.13706718748 4.55586496262914e-15 8160.09324511553 4.48586912448336e-15 8163.04942304359 4.58164652796119e-15 8166.00560097164 4.74571384522903e-15 8168.9617788997 4.84002842280696e-15 8171.91795682776 4.93950608971487e-15 8174.87413475581 5.05823003925029e-15 8177.83031268387 5.09290036833083e-15 8180.78649061193 4.95022020946469e-15 8183.74266853998 4.78767543391954e-15 8186.69884646804 4.69028655025955e-15 8189.6550243961 4.63825162224383e-15 8192.61120232415 4.6475613613671e-15 8195.56738025221 4.7368915735669e-15 8198.52355818026 4.7835842647843e-15 8201.47973610832 4.7594061328214e-15 8204.43591403638 4.79763230621451e-15 8207.39209196444 4.94221828921198e-15 8210.34826989249 5.0514868099572e-15 8213.30444782055 5.07382899800693e-15 8216.2606257486 5.06159953631447e-15 8219.21680367666 4.95303786456373e-15 8222.17298160472 4.80804191761979e-15 8225.12915953277 4.73872370583182e-15 8228.08533746083 4.75456576304431e-15 8231.04151538889 4.71118751174953e-15 8233.99769331694 4.63956282924618e-15 8236.953871245 4.6714697133363e-15 8239.91004917306 4.82634841719233e-15 8242.86622710111 4.9516267076736e-15 8245.82240502917 4.99888691096566e-15 8248.77858295722 5.05632082698718e-15 8251.73476088528 5.06243513431694e-15 8254.69093881334 4.95908059760944e-15 8257.64711674139 4.82399874779664e-15 8260.60329466945 4.70009519178876e-15 8263.55947259751 4.64072411141686e-15 8266.51565052556 4.63726313479438e-15 8269.47182845362 4.657631736077e-15 8272.42800638168 4.61307907360085e-15 8275.38418430973 4.57482240702163e-15 8278.34036223779 4.66640064466345e-15 8281.29654016585 4.85418742555326e-15 8284.2527180939 4.933441757329e-15 8287.20889602196 4.91100385455624e-15 8290.16507395001 4.95729674622252e-15 8293.12125187807 4.93100442002328e-15 8296.07742980613 4.79137781493198e-15 8299.03360773418 4.63972969473678e-15 8301.98978566224 4.54188002515349e-15 8304.9459635903 4.5186636991022e-15 8307.90214151835 4.48554174624924e-15 8310.85831944641 4.49336663661598e-15 8313.81449737447 4.52749867625854e-15 8316.77067530252 4.50160064389624e-15 8319.72685323058 4.55623935119182e-15 8322.68303115863 4.68356534382309e-15 8325.63920908669 4.75497022127663e-15 8328.59538701475 4.79304562280513e-15 8331.5515649428 4.68805970064122e-15 8334.50774287086 4.51560760422851e-15 8337.46392079892 4.36670937649657e-15 8340.42009872697 4.27733300100114e-15 8343.37627665503 4.2768438394741e-15 8346.33245458309 4.2322035090879e-15 8349.28863251114 4.12862239106701e-15 8352.2448104392 4.04473521258626e-15 8355.20098836726 4.09444376461236e-15 8358.15716629531 4.23850543421547e-15 8361.11334422337 4.35368497438311e-15 8364.06952215143 4.43512211006393e-15 8367.02570007948 4.44451485841603e-15 8369.98187800754 4.38092470693386e-15 8372.93805593559 4.26999388402965e-15 8375.89423386365 4.20661887891608e-15 8378.85041179171 4.08381985387142e-15 8381.80658971976 4.0059927726118e-15 8384.76276764782 4.00520545548733e-15 8387.71894557588 4.07677719843147e-15 8390.67512350393 4.07972868473618e-15 8393.63130143199 4.09049193239694e-15 8396.58747936005 4.21918884785334e-15 8399.5436572881 4.26672264278736e-15 8402.49983521616 4.25809561221957e-15 8405.45601314422 4.26387534153516e-15 8408.41219107227 4.19147011817091e-15 8411.36836900033 4.13071964464442e-15 8414.32454692838 4.09968901613823e-15 8417.28072485644 4.01008987097767e-15 8420.2369027845 3.91863318256378e-15 8423.19308071255 3.85962886745804e-15 8426.14925864061 3.79927268776849e-15 8429.10543656867 3.76354399102036e-15 8432.06161449672 3.76977561241331e-15 8435.01779242478 3.81606638649723e-15 8437.97397035284 3.87750676835927e-15 8440.93014828089 3.88935464170899e-15 8443.88632620895 3.93827460606119e-15 8446.842504137 4.06449352663039e-15 8449.79868206506 4.07030544319798e-15 8452.75485999312 4.06124134362941e-15 8455.71103792117 3.92291281652978e-15 8458.66721584923 3.76109606580279e-15 8461.62339377729 3.71764920483928e-15 8464.57957170534 3.65633841901817e-15 8467.5357496334 3.6079029575118e-15 8470.49192756146 3.63619682256541e-15 8473.44810548951 3.67402912563805e-15 8476.40428341757 3.72263484076682e-15 8479.36046134563 3.76367909277545e-15 8482.31663927368 3.79022891699066e-15 8485.27281720174 3.86262185837717e-15 8488.2289951298 3.94738995112306e-15 8491.18517305785 3.94585131577438e-15 8494.14135098591 3.80357646217349e-15 8497.09752891396 3.60317270201786e-15 8500.05370684202 3.40248476230843e-15 8503.00988477008 3.37326890189173e-15 8505.96606269813 3.46764467760009e-15 8508.92224062619 3.52489944615327e-15 8511.87841855425 3.58490220134559e-15 8514.8345964823 3.60441995803269e-15 8517.79077441036 3.53457277416916e-15 8520.74695233842 3.51374995146857e-15 8523.70313026647 3.64948846357373e-15 8526.65930819453 3.67685525106656e-15 8529.61548612259 3.48821211986709e-15 8532.57166405064 3.34639254647535e-15 8535.5278419787 3.32450034467885e-15 8538.48401990675 3.37562322996862e-15 8541.44019783481 3.42147757032647e-15 8544.39637576287 3.3710115590873e-15 8547.35255369092 3.30781061924439e-15 8550.30873161898 3.31315073846036e-15 8553.26490954704 3.32881449523746e-15 8556.22108747509 3.37093405557262e-15 8559.17726540315 3.48792709328033e-15 8562.13344333121 3.61668330104304e-15 8565.08962125926 3.60093018229e-15 8568.04579918732 3.44556274042341e-15 8571.00197711537 3.32423056468515e-15 8573.95815504343 3.26872301334392e-15 8576.91433297149 3.25877418786195e-15 8579.87051089954 3.29638350951122e-15 8582.8266888276 3.28497058757992e-15 8585.78286675566 3.22632710850971e-15 8588.73904468371 3.17903238862506e-15 8591.69522261177 3.10488693607068e-15 8594.65140053983 3.1560716547656e-15 8597.60757846788 3.38034586216604e-15 8600.56375639594 3.4626984287046e-15 8603.519934324 3.41720725372289e-15 8606.47611225205 3.29071452975348e-15 8609.43229018011 3.1481963659385e-15 8612.38846810817 3.04926567055628e-15 8615.34464603622 2.94645281141855e-15 8618.30082396428 2.95623921833289e-15 8621.25700189233 3.13103166677887e-15 8624.21317982039 3.17751238800121e-15 8627.16935774845 3.04068437976764e-15 8630.1255356765 3.04197081105629e-15