SN Ibc 2005bf in MCG +00-27-5 (orPGC030473)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN Ibc 2005bf in MCG +00-27-5 (SB galaxy) (which Leda
          calls PGC030473).
DISCOVERY:   2005apr06 by L. A. G. Monard at Bronberg Observatory;
                         M. Moore and W. Li at Lick Observatory.
MAX:  2005may09 UT (JD 2453499.8) in bolometric from \citet{folatelli2006}.
           See the US Navy Observatory Julian Date Converter
           This day of the year 129.
SUPERNOVA of the YEAR:  M = 58.

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

REF:
       
       \bibitem[Anupama et al.(2005)]{anupama2005}
        Anupama, G. C., et al. 2005, \apj, 631, L125
        %
        % ADS Reference
        % 8  coauthors including Paolo Mazzali.
        % The Peculiar Type Ib Supernova SN 2005bf: Explosion of a Massive He Star with a Thin Hydrogen Envelope?
        % A very long rise 2-maximum Ibc SN.
        % Just a letter.


       
        \bibitem[folatelli et al.(2006)]{follatelli2006}
        Folatelli, G., et al. 2006, \apj, 641, 1039
        %
        % ADS Reference
        % 25  coauthors
        % SN 2005bf: A Possible Transition Event between Type Ib/c Supernovae and Gamma-Ray Bursts
        % A very long rise 2-maximum Ibc SN.

        
       \bibitem[Tominaga et al.(2005)]{tominaga2005}
        Tominaga, N., et al. 2005, \apj, 633, L97
        %
        % ADS Reference
        % about 25  coauthors
        % The Unique Type Ib Supernova 2005bf: A WN Star Explosion Model for Peculiar Light Curves and Spectra
        % A very long rise 2-maximum Ibc SN.
        % Just a letter.

REP:  F_lambda (erg/cm2/s/A) vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted (heliocentric velocity 5656 +/- 7  and
        v_hel corrected for CMB radiation 6006 km/s from
     Leda:  PGC030473 (MCG+00-27-005)
     
        \bibitem[folatelli et al.(2006)]{follatelli2006} give 5670 km/s).
      not dereddened (Galactic foreground .19/4... =.0475
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived bolometric maximum is 2005may09 (see above).

OBS:  
        \bibitem[folatelli et al.(2006)]{follatelli2006}

Date: 2005jun06 ( 2453527.5425463) with 2005may09 (JD 2453499.8) for bolometric maximum gives:
      day = 527.5425463 - 499.8= 27.7 (See JD in FITS information below).


&specnamelist aname='sn2005bf Ibc 2005_06_06' ebv=.0475d0 epoch= 27.7 ! This parameter needs to updated for the particular spectrum. iformat=1 itick=2 itickln=4 t_rise=41.8d0 ! {follatelli2006}, p. 1049. v_helio=5656.d0 ymin2=.15d-16 ymax2=4.5d-16 ymin3=.25 ymax3=2. wlammin1=3800.d0 wlammax1=8128. wlammin2=3800.d0 wlammax2=8128. wlammin3=3950. wlammax3=8128. /
./figure/sn2005bf_2005_06_06.gif Postscript plot of the spectrum.
./figure/sn2005bf_2005_06_06.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. BITPIX = 8 / 8-bit ASCII characters NAXIS = 1 / Number of Image Dimensions NAXIS1 = 1423 / Length of axis ORIGIN = 'NOAO-IRAF: WTEXTIMAGE' / IRAF-MAX= 0. / Max image pixel (out of date) IRAF-MIN= 0. / Min image pixel (out of date) IRAF-B/P= 32 / Image bits per pixel IRAFTYPE= 'REAL FLOATING ' / Image datatype OBJECT = 'SN2005BF FOR NIDIA' / FILENAME= 'SN05BF_B01_DUP_WF_06JUN05.FITS' / FORMAT = '5G14.7 ' / Text line format EXTEND = F / File may contain extensions ORIGIN = 'NOAO-IRAF FITS Image Kernel December 2001' / FITS file originator DATE = '2005-06-11T00:14:05' IRAF-TLM= '16:14:05 (10/06/2005)' CHIP = 'TEK5' / DETECTOR NAME TEL = 'LCO-100' / TELESCOPE NAME OBJECT = 'SN2005bf for Nidia' / OBJECT NAME COMMENT = 'WFCCD Blue Grism y pix~1000' / COMMENT UTSTART = '00:56:16.2' / UT OF START FROM TEL UTEND = '01:06:16.3' / UT OF END FROM TEL FILTERP = 2 / FILTER POSITION FILTER = 'Blue_grism' / FILTER NAME APERPPOS= 4 / APERTURE POSITION APERTURE= 'Empty' / APERTURE NAME CCDPICNO= 4015 / FRAME NUMBER OF IMAGE EXPTIME = 600.070 / TRUE EXP-TIME IN SEC. GAIN = 1 / GAIN NOT NEC. E/DN LOOP = 1 / LOOP SIZE LOOPCTR = 1 / LOOP COUNTER DATE-OBS= '2005-06-06' / UT DATE AT START OF FRAME RA = '10:23:37.69' / RA FROM TEL DEC = '-03:16:36.3' / DEC FROM TEL HRA = '02:47:44.8' / HR-ANGLE FROM C100 EQUINOX = 2000.000 / EQUINOX FROM C100 AIRMASS = 1.48 / AIRMASS FROM C100 CASSPOS = 226.5 / CASSPOS FROM C100 IMAGETYP= 'object' / IMAGE TYPE WCSDIM = 1 LTM1_1 = 1. WAT0_001= 'system=equispec' WAT1_001= 'wtype=linear label=Wavelength units=angstroms units_display=angstrom' TRIM = 'Jun 8 23:21 Trim data section is [1:1788,500:1500]' FIXPIX = 'Jun 8 23:21 Bad pixel file is badpix' OVERSCAN= 'Jun 8 23:21 Overscan section is [2050:2064,1:2048] with mean=733.75' CCDSEC = '[1:1788,500:1500]' CCDPROC = 'Jun 8 23:22 CCD processing done' ZEROCOR = 'Jun 8 23:22 Zero level correction image is Zero_spec' FLATCOR = 'Jun 8 23:22 Flat field image is Dflat.nar.norm with scale=1.' BANDID1 = 'spectrum: background fit, weights none, clean no' APNUM1 = '1 1 499.92 503.19' CTYPE1 = 'LINEAR ' CRVAL1 = 3800. CRPIX1 = 1. CDELT1 = 3.0436005625879 CD1_1 = 3.0436005625879 DC-FLAG = 0 DCLOG1 = 'REFSPEC1 = ccd4016.0001' EX-FLAG = 0 CA-FLAG = 0 BUNIT = 'erg/cm2/s/A' WAT1_002= 's ' NEWEXPT = 600. NEWST = '13:11:22.5' WAIRMASS= 1.502228 UTMID = '1:01:16.0' JD = 2453527.5425463 END END: 3800. 9.935835E-17 3803.04360056259 9.446767E-17 3806.08720112518 9.258283E-17 3809.13080168776 1.041226E-16 3812.17440225035 8.611556E-17 3815.21800281294 6.082872E-17 3818.26160337553 8.504888E-17 3821.30520393812 9.654917E-17 3824.3488045007 6.525490E-17 3827.39240506329 1.988206E-17 3830.43600562588 4.503633E-17 3833.47960618847 4.015251E-17 3836.52320675105 3.034175E-17 3839.56680731364 3.096590E-17 3842.61040787623 1.698106E-17 3845.65400843882 1.033632E-17 3848.69760900141 1.951626E-17 3851.74120956399 4.446103E-17 3854.78481012658 -1.825821E-17 3857.82841068917 2.914010E-17 3860.87201125176 3.321453E-17 3863.91561181435 4.351356E-18 3866.95921237693 1.171745E-17 3870.00281293952 2.951536E-17 3873.04641350211 4.435972E-17 3876.0900140647 1.550347E-17 3879.13361462729 -3.304792E-18 3882.17721518987 2.395200E-17 3885.22081575246 3.198275E-17 3888.26441631505 1.181725E-17 3891.30801687764 1.252727E-17 3894.35161744022 1.444087E-17 3897.39521800281 3.179776E-17 3900.4388185654 3.759422E-18 3903.48241912799 2.087728E-17 3906.52601969058 2.538739E-17 3909.56962025316 3.493543E-17 3912.61322081575 6.136116E-17 3915.65682137834 4.682620E-17 3918.70042194093 6.038549E-17 3921.74402250352 5.038586E-17 3924.7876230661 3.377904E-17 3927.83122362869 4.766747E-18 3930.87482419128 3.017532E-17 3933.91842475387 2.904425E-17 3936.96202531646 3.600113E-17 3940.00562587904 4.293137E-17 3943.04922644163 5.471658E-17 3946.09282700422 6.684314E-17 3949.13642756681 6.452950E-17 3952.18002812939 5.706094E-17 3955.22362869198 7.429829E-17 3958.26722925457 6.234796E-17 3961.31082981716 4.091455E-17 3964.35443037975 6.514095E-17 3967.39803094233 6.858405E-17 3970.44163150492 9.483968E-17 3973.48523206751 9.531762E-17 3976.5288326301 1.063968E-16 3979.57243319269 1.136382E-16 3982.61603375527 1.278797E-16 3985.65963431786 1.207193E-16 3988.70323488045 1.240494E-16 3991.74683544304 1.390737E-16 3994.79043600563 1.621632E-16 3997.83403656821 1.516649E-16 4000.8776371308 1.426445E-16 4003.92123769339 1.305405E-16 4006.96483825598 1.577592E-16 4010.00843881856 1.564961E-16 4013.05203938115 1.777151E-16 4016.09563994374 1.615880E-16 4019.13924050633 1.864231E-16 4022.18284106892 1.696767E-16 4025.2264416315 1.819740E-16 4028.27004219409 1.430427E-16 4031.31364275668 1.630837E-16 4034.35724331927 1.640093E-16 4037.40084388186 1.720375E-16 4040.44444444444 1.593896E-16 4043.48804500703 1.560012E-16 4046.53164556962 1.639472E-16 4049.57524613221 1.874181E-16 4052.6188466948 1.835142E-16 4055.66244725738 1.808670E-16 4058.70604781997 1.574554E-16 4061.74964838256 1.801840E-16 4064.79324894515 2.053579E-16 4067.83684950774 1.950701E-16 4070.88045007032 1.934916E-16 4073.92405063291 1.696665E-16 4076.9676511955 2.186373E-16 4080.01125175809 2.120859E-16 4083.05485232068 1.818462E-16 4086.09845288326 1.913758E-16 4089.14205344585 2.105304E-16 4092.18565400844 2.325254E-16 4095.22925457103 2.087066E-16 4098.27285513361 1.802464E-16 4101.3164556962 1.915582E-16 4104.36005625879 1.945541E-16 4107.40365682138 2.200422E-16 4110.44725738397 1.811395E-16 4113.49085794655 1.894152E-16 4116.53445850914 2.052086E-16 4119.57805907173 2.154801E-16 4122.62165963432 2.016797E-16 4125.66526019691 2.082911E-16 4128.70886075949 1.999119E-16 4131.75246132208 1.678315E-16 4134.79606188467 1.753161E-16 4137.83966244726 1.971641E-16 4140.88326300984 1.890649E-16 4143.92686357243 1.921123E-16 4146.97046413502 1.717928E-16 4150.01406469761 1.820635E-16 4153.0576652602 1.846317E-16 4156.10126582279 1.737574E-16 4159.14486638537 1.856781E-16 4162.18846694796 1.597130E-16 4165.23206751055 1.699062E-16 4168.27566807313 1.608017E-16 4171.31926863572 1.258205E-16 4174.36286919831 1.410612E-16 4177.4064697609 1.635619E-16 4180.45007032349 1.395392E-16 4183.49367088607 1.388810E-16 4186.53727144866 1.718226E-16 4189.58087201125 1.712682E-16 4192.62447257384 1.437968E-16 4195.66807313643 1.738824E-16 4198.71167369901 1.756778E-16 4201.7552742616 1.636515E-16 4204.79887482419 1.671744E-16 4207.84247538678 1.788500E-16 4210.88607594937 1.878878E-16 4213.92967651195 1.747899E-16 4216.97327707454 1.629377E-16 4220.01687763713 1.522927E-16 4223.06047819972 1.553386E-16 4226.10407876231 1.829496E-16 4229.14767932489 1.612307E-16 4232.19127988748 1.719009E-16 4235.23488045007 1.803576E-16 4238.27848101266 1.552358E-16 4241.32208157525 1.508078E-16 4244.36568213783 1.531589E-16 4247.40928270042 1.480681E-16 4250.45288326301 1.544047E-16 4253.4964838256 1.646879E-16 4256.54008438819 1.620375E-16 4259.58368495077 1.500227E-16 4262.62728551336 1.515363E-16 4265.67088607595 1.642404E-16 4268.71448663854 1.756206E-16 4271.75808720113 1.641062E-16 4274.80168776371 1.738184E-16 4277.8452883263 1.589638E-16 4280.88888888889 1.579214E-16 4283.93248945148 1.621534E-16 4286.97609001406 1.469970E-16 4290.01969057665 1.822126E-16 4293.06329113924 1.621053E-16 4296.10689170183 1.680933E-16 4299.15049226442 1.723930E-16 4302.194092827 1.448454E-16 4305.23769338959 1.517443E-16 4308.28129395218 1.567250E-16 4311.32489451477 1.574417E-16 4314.36849507736 1.417300E-16 4317.41209563994 1.253944E-16 4320.45569620253 1.410063E-16 4323.49929676512 1.453609E-16 4326.54289732771 1.237474E-16 4329.58649789029 1.311134E-16 4332.63009845288 1.404620E-16 4335.67369901547 1.404429E-16 4338.71729957806 1.346954E-16 4341.76090014065 1.467847E-16 4344.80450070323 1.452431E-16 4347.84810126582 1.277649E-16 4350.89170182841 1.220668E-16 4353.935302391 1.341056E-16 4356.97890295359 1.446324E-16 4360.02250351617 1.474409E-16 4363.06610407876 1.454186E-16 4366.10970464135 1.510814E-16 4369.15330520394 1.438918E-16 4372.19690576653 1.431223E-16 4375.24050632911 1.389450E-16 4378.2841068917 1.431082E-16 4381.32770745429 1.564319E-16 4384.37130801688 1.513560E-16 4387.41490857946 1.536833E-16 4390.45850914205 1.429675E-16 4393.50210970464 1.346129E-16 4396.54571026723 1.628559E-16 4399.58931082982 1.425518E-16 4402.6329113924 1.430491E-16 4405.67651195499 1.408953E-16 4408.72011251758 1.314453E-16 4411.76371308017 1.362903E-16 4414.80731364276 1.420947E-16 4417.85091420534 1.415868E-16 4420.89451476793 1.326754E-16 4423.93811533052 1.341306E-16 4426.98171589311 1.269781E-16 4430.0253164557 1.391293E-16 4433.06891701828 1.329086E-16 4436.11251758087 1.245878E-16 4439.15611814346 1.251825E-16 4442.19971870605 1.276781E-16 4445.24331926864 1.308758E-16 4448.28691983122 1.072650E-16 4451.33052039381 1.004066E-16 4454.3741209564 1.123297E-16 4457.41772151899 1.114902E-16 4460.46132208158 9.763288E-17 4463.50492264416 9.536089E-17 4466.54852320675 1.046833E-16 4469.59212376934 9.391417E-17 4472.63572433193 9.915719E-17 4475.67932489451 9.119231E-17 4478.7229254571 1.142725E-16 4481.76652601969 1.148663E-16 4484.81012658228 1.076967E-16 4487.85372714486 1.189891E-16 4490.89732770745 1.067136E-16 4493.94092827004 1.165611E-16 4496.98452883263 1.098329E-16 4500.02812939522 1.192971E-16 4503.07172995781 1.401007E-16 4506.11533052039 1.367239E-16 4509.15893108298 1.324793E-16 4512.20253164557 1.505832E-16 4515.24613220816 1.466952E-16 4518.28973277074 1.426627E-16 4521.33333333333 1.556639E-16 4524.37693389592 1.512374E-16 4527.42053445851 1.546018E-16 4530.4641350211 1.499390E-16 4533.50773558368 1.674937E-16 4536.55133614627 1.607057E-16 4539.59493670886 1.591507E-16 4542.63853727145 1.700104E-16 4545.68213783404 1.721187E-16 4548.72573839662 1.551172E-16 4551.76933895921 1.628033E-16 4554.8129395218 1.542648E-16 4557.85654008439 1.630833E-16 4560.90014064698 1.499906E-16 4563.94374120956 1.526678E-16 4566.98734177215 1.627497E-16 4570.03094233474 1.560593E-16 4573.07454289733 1.476624E-16 4576.11814345992 1.535983E-16 4579.1617440225 1.570919E-16 4582.20534458509 1.598268E-16 4585.24894514768 1.625445E-16 4588.29254571027 1.449028E-16 4591.33614627285 1.645038E-16 4594.37974683544 1.547943E-16 4597.42334739803 1.508972E-16 4600.46694796062 1.658446E-16 4603.5105485232 1.669970E-16 4606.55414908579 1.713351E-16 4609.59774964838 1.707340E-16 4612.64135021097 1.745301E-16 4615.68495077356 1.677887E-16 4618.72855133615 1.692785E-16 4621.77215189873 1.878355E-16 4624.81575246132 1.798021E-16 4627.85935302391 1.929439E-16 4630.9029535865 1.897224E-16 4633.94655414909 2.015135E-16 4636.99015471167 2.073973E-16 4640.03375527426 1.888901E-16 4643.07735583685 2.011338E-16 4646.12095639944 2.034644E-16 4649.16455696203 2.053930E-16 4652.20815752461 2.099710E-16 4655.2517580872 2.049901E-16 4658.29535864979 1.926205E-16 4661.33895921238 2.089337E-16 4664.38255977496 2.145886E-16 4667.42616033755 2.089195E-16 4670.46976090014 1.982692E-16 4673.51336146273 1.985554E-16 4676.55696202531 1.964477E-16 4679.6005625879 2.058707E-16 4682.64416315049 2.222325E-16 4685.68776371308 2.227895E-16 4688.73136427567 2.069358E-16 4691.77496483825 1.905642E-16 4694.81856540084 1.847407E-16 4697.86216596343 2.024872E-16 4700.90576652602 2.064289E-16 4703.94936708861 1.890495E-16 4706.99296765119 1.933496E-16 4710.03656821378 1.969875E-16 4713.08016877637 2.004832E-16 4716.12376933896 1.971648E-16 4719.16736990155 1.973269E-16 4722.21097046413 2.179072E-16 4725.25457102672 2.309866E-16 4728.29817158931 2.293201E-16 4731.3417721519 2.229192E-16 4734.38537271449 2.133776E-16 4737.42897327707 2.275853E-16 4740.47257383966 2.298642E-16 4743.51617440225 2.407740E-16 4746.55977496484 2.511356E-16 4749.60337552743 2.305640E-16 4752.64697609001 2.285262E-16 4755.6905766526 2.560782E-16 4758.73417721519 2.593143E-16 4761.77777777778 2.433368E-16 4764.82137834037 2.324878E-16 4767.86497890295 2.454849E-16 4770.90857946554 2.226652E-16 4773.95218002813 2.268863E-16 4776.99578059072 2.248429E-16 4780.0393811533 2.271410E-16 4783.08298171589 2.276879E-16 4786.12658227848 2.181491E-16 4789.17018284107 2.139181E-16 4792.21378340365 2.241586E-16 4795.25738396624 2.349811E-16 4798.30098452883 2.227778E-16 4801.34458509142 2.232086E-16 4804.38818565401 2.305527E-16 4807.43178621659 2.324570E-16 4810.47538677918 2.230624E-16 4813.51898734177 2.185170E-16 4816.56258790436 2.207751E-16 4819.60618846695 2.139159E-16 4822.64978902953 2.084134E-16 4825.69338959212 2.269357E-16 4828.73699015471 2.275319E-16 4831.7805907173 2.187978E-16 4834.82419127989 2.086410E-16 4837.86779184247 2.052806E-16 4840.91139240506 1.952881E-16 4843.95499296765 1.989065E-16 4846.99859353024 2.012927E-16 4850.04219409283 2.022087E-16 4853.08579465541 1.943677E-16 4856.129395218 1.860407E-16 4859.17299578059 1.832338E-16 4862.21659634318 1.909341E-16 4865.26019690576 1.959024E-16 4868.30379746835 1.967009E-16 4871.34739803094 2.009986E-16 4874.39099859353 1.959137E-16 4877.43459915612 1.848613E-16 4880.4781997187 1.804399E-16 4883.52180028129 1.818086E-16 4886.56540084388 1.751941E-16 4889.60900140647 1.696159E-16 4892.65260196906 1.782482E-16 4895.69620253164 1.659370E-16 4898.73980309423 1.620948E-16 4901.78340365682 1.606762E-16 4904.82700421941 1.580193E-16 4907.870604782 1.677221E-16 4910.91420534458 1.520579E-16 4913.95780590717 1.448129E-16 4917.00140646976 1.429124E-16 4920.04500703235 1.381533E-16 4923.08860759494 1.356923E-16 4926.13220815752 1.300020E-16 4929.17580872011 1.266635E-16 4932.2194092827 1.255616E-16 4935.26300984529 1.282179E-16 4938.30661040787 1.312620E-16 4941.35021097046 1.231674E-16 4944.39381153305 1.290869E-16 4947.43741209564 1.287403E-16 4950.48101265823 1.148594E-16 4953.52461322081 1.063859E-16 4956.5682137834 1.118247E-16 4959.61181434599 1.173531E-16 4962.65541490858 1.120325E-16 4965.69901547117 9.903391E-17 4968.74261603375 9.769884E-17 4971.78621659634 1.005121E-16 4974.82981715893 1.080484E-16 4977.87341772152 1.038461E-16 4980.9170182841 1.024964E-16 4983.96061884669 1.040788E-16 4987.00421940928 1.130559E-16 4990.04781997187 1.163072E-16 4993.09142053446 1.140934E-16 4996.13502109704 1.105129E-16 4999.17862165963 1.171183E-16 5002.22222222222 1.286378E-16 5005.26582278481 1.213364E-16 5008.3094233474 1.070475E-16 5011.35302390999 1.165846E-16 5014.39662447257 1.439716E-16 5017.44022503516 1.501814E-16 5020.48382559775 1.428086E-16 5023.52742616034 1.428970E-16 5026.57102672292 1.527273E-16 5029.61462728551 1.570566E-16 5032.6582278481 1.552393E-16 5035.70182841069 1.629095E-16 5038.74542897328 1.731004E-16 5041.78902953586 1.736722E-16 5044.83263009845 1.836339E-16 5047.87623066104 1.925085E-16 5050.91983122363 1.920085E-16 5053.96343178622 2.019312E-16 5057.0070323488 2.222611E-16 5060.05063291139 2.320996E-16 5063.09423347398 2.423953E-16 5066.13783403657 2.656703E-16 5069.18143459916 2.768660E-16 5072.22503516174 2.875969E-16 5075.26863572433 3.020442E-16 5078.31223628692 3.183794E-16 5081.35583684951 3.177263E-16 5084.39943741209 3.092410E-16 5087.44303797468 3.310578E-16 5090.48663853727 3.337235E-16 5093.53023909986 3.471655E-16 5096.57383966245 3.538282E-16 5099.61744022503 3.374115E-16 5102.66104078762 3.496566E-16 5105.70464135021 3.648465E-16 5108.7482419128 3.561980E-16 5111.79184247539 3.661212E-16 5114.83544303797 3.644152E-16 5117.87904360056 3.602145E-16 5120.92264416315 3.346452E-16 5123.96624472574 3.456217E-16 5127.00984528832 3.482490E-16 5130.05344585091 3.361172E-16 5133.0970464135 3.336614E-16 5136.14064697609 3.259425E-16 5139.18424753868 3.073730E-16 5142.22784810126 2.974516E-16 5145.27144866385 2.972011E-16 5148.31504922644 2.937305E-16 5151.35864978903 2.818389E-16 5154.40225035162 2.792892E-16 5157.4458509142 2.547996E-16 5160.48945147679 2.398962E-16 5163.53305203938 2.530103E-16 5166.57665260197 2.333657E-16 5169.62025316456 2.191330E-16 5172.66385372714 2.136565E-16 5175.70745428973 2.024568E-16 5178.75105485232 2.111189E-16 5181.79465541491 1.986882E-16 5184.83825597749 2.008942E-16 5187.88185654008 2.055242E-16 5190.92545710267 1.962997E-16 5193.96905766526 2.121331E-16 5197.01265822785 1.952546E-16 5200.05625879043 1.932377E-16 5203.09985935302 2.000375E-16 5206.14345991561 1.865803E-16 5209.1870604782 1.911645E-16 5212.23066104079 2.080864E-16 5215.27426160337 2.026608E-16 5218.31786216596 2.050900E-16 5221.36146272855 2.075128E-16 5224.40506329114 2.087142E-16 5227.44866385373 2.145262E-16 5230.49226441631 2.199092E-16 5233.5358649789 2.307319E-16 5236.57946554149 2.130143E-16 5239.62306610408 2.151385E-16 5242.66666666667 2.142684E-16 5245.71026722925 2.028098E-16 5248.75386779184 2.231932E-16 5251.79746835443 2.240255E-16 5254.84106891702 2.196789E-16 5257.88466947961 2.277119E-16 5260.92827004219 2.270934E-16 5263.97187060478 2.448424E-16 5267.01547116737 2.271631E-16 5270.05907172996 2.266646E-16 5273.10267229254 2.155113E-16 5276.14627285513 2.198866E-16 5279.18987341772 2.130738E-16 5282.23347398031 2.070258E-16 5285.2770745429 2.013825E-16 5288.32067510548 2.132513E-16 5291.36427566807 2.061938E-16 5294.40787623066 2.070078E-16 5297.45147679325 2.129128E-16 5300.49507735584 2.171205E-16 5303.53867791842 2.143553E-16 5306.58227848101 2.129626E-16 5309.6258790436 2.066890E-16 5312.66947960619 2.093432E-16 5315.71308016878 2.103273E-16 5318.75668073136 2.016887E-16 5321.80028129395 1.958741E-16 5324.84388185654 1.964232E-16 5327.88748241913 2.060392E-16 5330.93108298171 2.165842E-16 5333.9746835443 1.887418E-16 5337.01828410689 2.048921E-16 5340.06188466948 1.992009E-16 5343.10548523207 2.003942E-16 5346.14908579465 2.010840E-16 5349.19268635724 2.019584E-16 5352.23628691983 1.957257E-16 5355.27988748242 2.045187E-16 5358.32348804501 1.957759E-16 5361.36708860759 1.966030E-16 5364.41068917018 2.130313E-16 5367.45428973277 2.144582E-16 5370.49789029536 2.126146E-16 5373.54149085794 2.121921E-16 5376.58509142053 2.114425E-16 5379.62869198312 2.230777E-16 5382.67229254571 2.364265E-16 5385.7158931083 2.158074E-16 5388.75949367088 2.182973E-16 5391.80309423347 2.187951E-16 5394.84669479606 2.334698E-16 5397.89029535865 2.438119E-16 5400.93389592124 2.467748E-16 5403.97749648382 2.397337E-16 5407.02109704641 2.513310E-16 5410.064697609 2.582730E-16 5413.10829817159 2.603210E-16 5416.15189873418 2.397350E-16 5419.19549929676 2.338342E-16 5422.23909985935 2.248995E-16 5425.28270042194 2.221081E-16 5428.32630098453 2.418297E-16 5431.36990154712 2.618694E-16 5434.4135021097 2.429970E-16 5437.45710267229 2.356105E-16 5440.50070323488 2.591664E-16 5443.54430379747 2.539235E-16 5446.58790436005 2.488082E-16 5449.63150492264 2.416702E-16 5452.67510548523 2.458395E-16 5455.71870604782 2.359020E-16 5458.76230661041 2.381243E-16 5461.80590717299 2.421475E-16 5464.84950773558 2.319889E-16 5467.89310829817 2.438083E-16 5470.93670886076 2.458943E-16 5473.98030942335 2.543230E-16 5477.02390998593 2.519641E-16 5480.06751054852 2.542609E-16 5483.11111111111 2.496980E-16 5486.1547116737 2.509933E-16 5489.19831223629 2.495097E-16 5492.24191279887 2.622858E-16 5495.28551336146 2.755438E-16 5498.32911392405 2.736389E-16 5501.37271448664 2.617293E-16 5504.41631504923 2.683463E-16 5507.45991561181 2.699318E-16 5510.5035161744 2.699067E-16 5513.54711673699 2.777441E-16 5516.59071729958 2.794656E-16 5519.63431786216 2.725971E-16 5522.67791842475 2.608021E-16 5525.72151898734 2.586028E-16 5528.76511954993 2.575749E-16 5531.80872011252 2.592042E-16 5534.8523206751 2.545291E-16 5537.89592123769 2.356675E-16 5540.93952180028 2.319184E-16 5543.98312236287 2.397333E-16 5547.02672292545 2.266509E-16 5550.07032348804 2.235629E-16 5553.11392405063 2.191451E-16 5556.15752461322 2.321344E-16 5559.20112517581 2.272955E-16 5562.24472573839 2.004658E-16 5565.28832630098 2.233886E-16 5568.33192686357 2.348443E-16 5571.37552742616 2.224729E-16 5574.41912798875 2.580071E-16 5577.46272855133 2.534191E-16 5580.50632911392 2.342328E-16 5583.54992967651 2.440482E-16 5586.5935302391 2.557309E-16 5589.63713080169 2.853944E-16 5592.68073136427 2.865727E-16 5595.72433192686 2.810375E-16 5598.76793248945 2.940350E-16 5601.81153305204 2.991796E-16 5604.85513361463 3.104921E-16 5607.89873417721 3.258714E-16 5610.9423347398 3.325883E-16 5613.98593530239 3.369241E-16 5617.02953586498 3.335902E-16 5620.07313642757 3.386337E-16 5623.11673699015 3.427674E-16 5626.16033755274 3.373658E-16 5629.20393811533 3.420095E-16 5632.24753867792 3.500151E-16 5635.2911392405 3.590342E-16 5638.33473980309 3.496872E-16 5641.37834036568 3.347668E-16 5644.42194092827 3.360007E-16 5647.46554149086 3.456865E-16 5650.50914205344 3.347166E-16 5653.55274261603 3.276411E-16 5656.59634317862 3.264237E-16 5659.63994374121 3.151222E-16 5662.6835443038 3.108008E-16 5665.72714486638 3.023048E-16 5668.77074542897 2.978250E-16 5671.81434599156 2.852710E-16 5674.85794655415 2.641224E-16 5677.90154711674 2.566569E-16 5680.94514767932 2.438521E-16 5683.98874824191 2.590027E-16 5687.0323488045 2.616503E-16 5690.07594936709 2.500421E-16 5693.11954992967 2.585015E-16 5696.16315049226 2.460699E-16 5699.20675105485 2.414377E-16 5702.25035161744 2.502795E-16 5705.29395218003 2.506697E-16 5708.33755274261 2.401760E-16 5711.3811533052 2.430886E-16 5714.42475386779 2.525605E-16 5717.46835443038 2.580790E-16 5720.51195499297 2.600742E-16 5723.55555555555 2.537708E-16 5726.59915611814 2.687907E-16 5729.64275668073 2.687419E-16 5732.68635724332 2.694979E-16 5735.7299578059 2.735512E-16 5738.77355836849 2.654036E-16 5741.81715893108 2.781057E-16 5744.86075949367 2.891179E-16 5747.90436005626 2.848072E-16 5750.94796061884 2.822876E-16 5753.99156118143 2.724266E-16 5757.03516174402 2.750183E-16 5760.07876230661 2.788824E-16 5763.1223628692 2.634817E-16 5766.16596343178 2.663021E-16 5769.20956399437 2.748233E-16 5772.25316455696 2.599256E-16 5775.29676511955 2.558857E-16 5778.34036568214 2.577772E-16 5781.38396624472 2.443074E-16 5784.42756680731 2.220483E-16 5787.4711673699 2.190354E-16 5790.51476793249 2.079431E-16 5793.55836849507 1.941971E-16 5796.60196905766 1.905526E-16 5799.64556962025 1.812362E-16 5802.68917018284 1.787165E-16 5805.73277074543 1.642243E-16 5808.77637130801 1.462895E-16 5811.8199718706 1.365255E-16 5814.86357243319 1.263931E-16 5817.90717299578 1.214958E-16 5820.95077355837 1.107118E-16 5823.99437412095 1.045892E-16 5827.03797468354 1.017150E-16 5830.08157524613 1.054317E-16 5833.12517580872 1.062789E-16 5836.16877637131 1.066605E-16 5839.21237693389 9.946658E-17 5842.25597749648 9.938441E-17 5845.29957805907 1.106028E-16 5848.34317862166 1.182419E-16 5851.38677918425 1.108553E-16 5854.43037974683 1.054030E-16 5857.47398030942 1.127729E-16 5860.51758087201 1.063127E-16 5863.5611814346 1.085245E-16 5866.60478199719 1.252796E-16 5869.64838255977 1.379818E-16 5872.69198312236 1.362494E-16 5875.73558368495 1.294376E-16 5878.77918424754 1.451206E-16 5881.82278481012 1.461442E-16 5884.86638537271 1.659678E-16 5887.9099859353 1.719786E-16 5890.95358649789 1.674304E-16 5893.99718706047 1.670059E-16 5897.04078762306 1.838855E-16 5900.08438818565 1.950710E-16 5903.12798874824 2.157317E-16 5906.17158931083 2.213035E-16 5909.21518987341 2.250040E-16 5912.258790436 2.492901E-16 5915.30239099859 2.759450E-16 5918.34599156118 2.704101E-16 5921.38959212377 2.619058E-16 5924.43319268635 2.869831E-16 5927.47679324894 2.979820E-16 5930.52039381153 3.188683E-16 5933.56399437412 3.547879E-16 5936.60759493671 3.519949E-16 5939.65119549929 3.495920E-16 5942.69479606188 3.571248E-16 5945.73839662447 3.678610E-16 5948.78199718706 3.750310E-16 5951.82559774965 3.695971E-16 5954.86919831223 3.801900E-16 5957.91279887482 3.962272E-16 5960.95639943741 4.061918E-16 5964. 4.034641E-16 5967.04360056259 4.092795E-16 5970.08720112517 4.044934E-16 5973.13080168776 4.071755E-16 5976.17440225035 4.119138E-16 5979.21800281294 4.114151E-16 5982.26160337552 4.171185E-16 5985.30520393811 4.050937E-16 5988.3488045007 4.095584E-16 5991.39240506329 4.229371E-16 5994.43600562588 4.043565E-16 5997.47960618846 3.929378E-16 6000.52320675105 4.100957E-16 6003.56680731364 3.974766E-16 6006.61040787623 4.000592E-16 6009.65400843882 4.022838E-16 6012.6976090014 4.075686E-16 6015.74120956399 4.003300E-16 6018.78481012658 4.032282E-16 6021.82841068917 4.275757E-16 6024.87201125175 4.175176E-16 6027.91561181434 3.991550E-16 6030.95921237693 3.993129E-16 6034.00281293952 3.779652E-16 6037.04641350211 3.692414E-16 6040.09001406469 3.692713E-16 6043.13361462728 3.630283E-16 6046.17721518987 3.584848E-16 6049.22081575246 3.486595E-16 6052.26441631505 3.538002E-16 6055.30801687763 3.619607E-16 6058.35161744022 3.579558E-16 6061.39521800281 3.555577E-16 6064.4388185654 3.529796E-16 6067.48241912799 3.505282E-16 6070.52601969057 3.466151E-16 6073.56962025316 3.526334E-16 6076.61322081575 3.560945E-16 6079.65682137834 3.566985E-16 6082.70042194092 3.698108E-16 6085.74402250351 3.388566E-16 6088.7876230661 3.214143E-16 6091.83122362869 3.194325E-16 6094.87482419128 3.337523E-16 6097.91842475386 3.311768E-16 6100.96202531645 3.239553E-16 6104.00562587904 3.266184E-16 6107.04922644163 3.124243E-16 6110.09282700422 3.120405E-16 6113.1364275668 3.070268E-16 6116.18002812939 3.082192E-16 6119.22362869198 2.979311E-16 6122.26722925457 2.995394E-16 6125.31082981716 2.917042E-16 6128.35443037974 2.841267E-16 6131.39803094233 2.888322E-16 6134.44163150492 2.756350E-16 6137.48523206751 2.778121E-16 6140.5288326301 2.756112E-16 6143.57243319268 2.710332E-16 6146.61603375527 2.669500E-16 6149.65963431786 2.678507E-16 6152.70323488045 2.584824E-16 6155.74683544304 2.591211E-16 6158.79043600562 2.656228E-16 6161.83403656821 2.524564E-16 6164.8776371308 2.398406E-16 6167.92123769339 2.408718E-16 6170.96483825597 2.306933E-16 6174.00843881856 2.155199E-16 6177.05203938115 2.323153E-16 6180.09563994374 2.373905E-16 6183.13924050633 2.257868E-16 6186.18284106891 2.312169E-16 6189.2264416315 2.213251E-16 6192.27004219409 2.281784E-16 6195.31364275668 2.264425E-16 6198.35724331927 2.367948E-16 6201.40084388185 2.268008E-16 6204.44444444444 2.329104E-16 6207.48804500703 2.402981E-16 6210.53164556962 2.376365E-16 6213.5752461322 2.353277E-16 6216.61884669479 2.510258E-16 6219.66244725738 2.482939E-16 6222.70604781997 2.530413E-16 6225.74964838256 2.482011E-16 6228.79324894514 2.557563E-16 6231.83684950773 2.785722E-16 6234.88045007032 2.656575E-16 6237.92405063291 2.595685E-16 6240.9676511955 2.647041E-16 6244.01125175808 2.616915E-16 6247.05485232067 2.551202E-16 6250.09845288326 2.534206E-16 6253.14205344585 2.529801E-16 6256.18565400844 2.497684E-16 6259.22925457102 2.480967E-16 6262.27285513361 2.416795E-16 6265.3164556962 2.346521E-16 6268.36005625879 2.357671E-16 6271.40365682138 2.334169E-16 6274.44725738396 2.229280E-16 6277.49085794655 2.128010E-16 6280.53445850914 2.164678E-16 6283.57805907173 2.208663E-16 6286.62165963431 2.136337E-16 6289.6652601969 2.154281E-16 6292.70886075949 2.303462E-16 6295.75246132208 2.311561E-16 6298.79606188467 2.351953E-16 6301.83966244725 2.141978E-16 6304.88326300984 2.175469E-16 6307.92686357243 2.200875E-16 6310.97046413502 2.229676E-16 6314.01406469761 2.283544E-16 6317.05766526019 2.306439E-16 6320.10126582278 2.533114E-16 6323.14486638537 2.614616E-16 6326.18846694796 2.550289E-16 6329.23206751055 2.511102E-16 6332.27566807313 2.590549E-16 6335.31926863572 2.527736E-16 6338.36286919831 2.538005E-16 6341.4064697609 2.687399E-16 6344.45007032349 2.758422E-16 6347.49367088607 2.813927E-16 6350.53727144866 2.716626E-16 6353.58087201125 2.557413E-16 6356.62447257384 2.599606E-16 6359.66807313642 2.686465E-16 6362.71167369901 2.642749E-16 6365.7552742616 2.485760E-16 6368.79887482419 2.544825E-16 6371.84247538678 2.646403E-16 6374.88607594936 2.545869E-16 6377.92967651195 2.498709E-16 6380.97327707454 2.359966E-16 6384.01687763713 2.363624E-16 6387.06047819971 2.456906E-16 6390.1040787623 2.408159E-16 6393.14767932489 2.308927E-16 6396.19127988748 2.325239E-16 6399.23488045007 2.281422E-16 6402.27848101265 2.237899E-16 6405.32208157524 2.154318E-16 6408.36568213783 2.306147E-16 6411.40928270042 2.348778E-16 6414.45288326301 2.164315E-16 6417.49648382559 2.225381E-16 6420.54008438818 2.155871E-16 6423.58368495077 2.085085E-16 6426.62728551336 2.158698E-16 6429.67088607595 2.173820E-16 6432.71448663853 2.158987E-16 6435.75808720112 2.144499E-16 6438.80168776371 2.242697E-16 6441.8452883263 2.276041E-16 6444.88888888889 2.267790E-16 6447.93248945147 2.232814E-16 6450.97609001406 2.194542E-16 6454.01969057665 2.224506E-16 6457.06329113924 2.254993E-16 6460.10689170183 2.164936E-16 6463.15049226441 2.102975E-16 6466.194092827 2.237991E-16 6469.23769338959 2.225613E-16 6472.28129395218 2.101823E-16 6475.32489451477 2.090183E-16 6478.36849507735 1.908626E-16 6481.41209563994 2.005944E-16 6484.45569620253 1.961850E-16 6487.49929676512 1.957612E-16 6490.54289732771 2.040549E-16 6493.58649789029 1.993876E-16 6496.63009845288 2.047298E-16 6499.67369901547 2.097321E-16 6502.71729957806 2.144828E-16 6505.76090014064 2.126205E-16 6508.80450070323 2.010422E-16 6511.84810126582 2.013064E-16 6514.89170182841 2.073593E-16 6517.935302391 2.130147E-16 6520.97890295358 2.177705E-16 6524.02250351617 2.191909E-16 6527.06610407876 2.167415E-16 6530.10970464135 2.196635E-16 6533.15330520394 2.056335E-16 6536.19690576652 2.115826E-16 6539.24050632911 2.142145E-16 6542.2841068917 2.195645E-16 6545.32770745429 2.250173E-16 6548.37130801687 2.251434E-16 6551.41490857946 2.191226E-16 6554.45850914205 2.177363E-16 6557.50210970464 2.273282E-16 6560.54571026723 2.282415E-16 6563.58931082981 2.133758E-16 6566.6329113924 2.251510E-16 6569.67651195499 2.241750E-16 6572.72011251758 2.177704E-16 6575.76371308017 2.249324E-16 6578.80731364275 2.303350E-16 6581.85091420534 2.278055E-16 6584.89451476793 2.254682E-16 6587.93811533052 2.378942E-16 6590.98171589311 2.451005E-16 6594.02531645569 2.369482E-16 6597.06891701828 2.347140E-16 6600.11251758087 2.332243E-16 6603.15611814346 2.299955E-16 6606.19971870604 2.188848E-16 6609.24331926863 2.141240E-16 6612.28691983122 2.018786E-16 6615.33052039381 1.988219E-16 6618.37412095639 2.056415E-16 6621.41772151898 1.875324E-16 6624.46132208157 1.778418E-16 6627.50492264416 1.796739E-16 6630.54852320675 1.678349E-16 6633.59212376933 1.668813E-16 6636.63572433192 1.741872E-16 6639.67932489451 1.628921E-16 6642.7229254571 1.537367E-16 6645.76652601969 1.553004E-16 6648.81012658227 1.491135E-16 6651.85372714486 1.490350E-16 6654.89732770745 1.473001E-16 6657.94092827004 1.401402E-16 6660.98452883263 1.466195E-16 6664.02812939521 1.453352E-16 6667.0717299578 1.343154E-16 6670.11533052039 1.366565E-16 6673.15893108298 1.536923E-16 6676.20253164557 1.773236E-16 6679.24613220815 1.942929E-16 6682.28973277074 1.946945E-16 6685.33333333333 1.952268E-16 6688.37693389592 2.122812E-16 6691.42053445851 2.278304E-16 6694.46413502109 2.475656E-16 6697.50773558368 2.560247E-16 6700.55133614627 2.569439E-16 6703.59493670886 2.610962E-16 6706.63853727145 2.691714E-16 6709.68213783403 2.773703E-16 6712.72573839662 2.769426E-16 6715.76933895921 2.826143E-16 6718.8129395218 2.938522E-16 6721.85654008439 3.018967E-16 6724.90014064697 3.122689E-16 6727.94374120956 3.213571E-16 6730.98734177215 3.220273E-16 6734.03094233474 3.259665E-16 6737.07454289732 3.333381E-16 6740.11814345991 3.317592E-16 6743.1617440225 3.409947E-16 6746.20534458509 3.506123E-16 6749.24894514768 3.474587E-16 6752.29254571026 3.486287E-16 6755.33614627285 3.505913E-16 6758.37974683544 3.540104E-16 6761.42334739803 3.473159E-16 6764.46694796062 3.306130E-16 6767.5105485232 3.402486E-16 6770.55414908579 3.571483E-16 6773.59774964838 3.483577E-16 6776.64135021097 3.472475E-16 6779.68495077355 3.656724E-16 6782.72855133614 3.596424E-16 6785.77215189873 3.437326E-16 6788.81575246132 3.384933E-16 6791.85935302391 3.382574E-16 6794.90295358649 3.457650E-16 6797.94655414908 3.506200E-16 6800.99015471167 3.507210E-16 6804.03375527426 3.618770E-16 6807.07735583685 3.578727E-16 6810.12095639943 3.381846E-16 6813.16455696202 3.564549E-16 6816.20815752461 3.561029E-16 6819.2517580872 3.638342E-16 6822.29535864978 3.392826E-16 6825.33895921237 3.529975E-16 6828.38255977496 3.575863E-16 6831.42616033755 3.456073E-16 6834.46976090014 3.266061E-16 6837.51336146272 3.291343E-16 6840.55696202531 3.362167E-16 6843.6005625879 3.288038E-16 6846.64416315049 3.323778E-16 6849.68776371308 3.280707E-16 6852.73136427566 3.169011E-16 6855.77496483825 3.309535E-16 6858.81856540084 3.293637E-16 6861.86216596343 3.084259E-16 6864.90576652602 2.887933E-16 6867.9493670886 2.327549E-16 6870.99296765119 1.946471E-16 6874.03656821378 2.216206E-16 6877.08016877637 2.511374E-16 6880.12376933895 2.681296E-16 6883.16736990154 2.652727E-16 6886.21097046413 2.601458E-16 6889.25457102672 2.591801E-16 6892.29817158931 2.647396E-16 6895.3417721519 2.675269E-16 6898.38537271448 2.599979E-16 6901.42897327707 2.573598E-16 6904.47257383966 2.651527E-16 6907.51617440225 2.701908E-16 6910.55977496483 2.761127E-16 6913.60337552742 2.689538E-16 6916.64697609001 2.570627E-16 6919.6905766526 2.643967E-16 6922.73417721519 2.755973E-16 6925.77777777777 2.735519E-16 6928.82137834036 2.652781E-16 6931.86497890295 2.663166E-16 6934.90857946554 2.735268E-16 6937.95218002813 2.662447E-16 6940.99578059071 2.633379E-16 6944.0393811533 2.649057E-16 6947.08298171589 2.561009E-16 6950.12658227848 2.440354E-16 6953.17018284107 2.641115E-16 6956.21378340365 2.657144E-16 6959.25738396624 2.551433E-16 6962.30098452883 2.368561E-16 6965.34458509142 2.405722E-16 6968.388185654 2.435523E-16 6971.43178621659 2.551744E-16 6974.47538677918 2.530304E-16 6977.51898734177 2.305329E-16 6980.56258790436 2.267002E-16 6983.60618846694 2.322573E-16 6986.64978902953 2.280286E-16 6989.69338959212 2.246520E-16 6992.73699015471 2.226946E-16 6995.7805907173 2.150120E-16 6998.82419127988 1.994932E-16 7001.86779184247 1.888851E-16 7004.91139240506 1.903196E-16 7007.95499296765 1.908206E-16 7010.99859353023 1.832621E-16 7014.04219409282 1.761923E-16 7017.08579465541 1.724404E-16 7020.129395218 1.530251E-16 7023.17299578059 1.523065E-16 7026.21659634317 1.542053E-16 7029.26019690576 1.466006E-16 7032.30379746835 1.480202E-16 7035.34739803094 1.407390E-16 7038.39099859353 1.413733E-16 7041.43459915611 1.422415E-16 7044.4781997187 1.530251E-16 7047.52180028129 1.492422E-16 7050.56540084388 1.465377E-16 7053.60900140647 1.584008E-16 7056.65260196905 1.549611E-16 7059.69620253164 1.639168E-16 7062.73980309423 1.622019E-16 7065.78340365682 1.665540E-16 7068.8270042194 1.719634E-16 7071.87060478199 1.797004E-16 7074.91420534458 2.027309E-16 7077.95780590717 2.171972E-16 7081.00140646976 2.204424E-16 7084.04500703235 2.201614E-16 7087.08860759493 2.377596E-16 7090.13220815752 2.444769E-16 7093.17580872011 2.527450E-16 7096.2194092827 2.507824E-16 7099.26300984528 2.599148E-16 7102.30661040787 2.617814E-16 7105.35021097046 2.675080E-16 7108.39381153305 2.738548E-16 7111.43741209564 2.724756E-16 7114.48101265822 2.804759E-16 7117.52461322081 2.990349E-16 7120.5682137834 3.104248E-16 7123.61181434599 2.911071E-16 7126.65541490857 2.939848E-16 7129.69901547116 3.046227E-16 7132.74261603375 3.116719E-16 7135.78621659634 3.062533E-16 7138.82981715893 3.175863E-16 7141.87341772151 3.087467E-16 7144.9170182841 3.202862E-16 7147.96061884669 3.197051E-16 7151.00421940928 3.217109E-16 7154.04781997187 3.315180E-16 7157.09142053445 3.349614E-16 7160.13502109704 3.221478E-16 7163.17862165963 3.341471E-16 7166.22222222222 3.260908E-16 7169.26582278481 3.073299E-16 7172.30942334739 3.182096E-16 7175.35302390998 3.195737E-16 7178.39662447257 3.135917E-16 7181.44022503516 3.104808E-16 7184.48382559775 2.992399E-16 7187.52742616033 2.882191E-16 7190.57102672292 3.070834E-16 7193.61462728551 3.044359E-16 7196.6582278481 2.865263E-16 7199.70182841068 2.908655E-16 7202.74542897327 2.864163E-16 7205.78902953586 2.927924E-16 7208.83263009845 2.930476E-16 7211.87623066104 2.947613E-16 7214.91983122362 3.075136E-16 7217.96343178621 3.108189E-16 7221.0070323488 3.036529E-16 7224.05063291139 2.978251E-16 7227.09423347398 2.905466E-16 7230.13783403656 2.772130E-16 7233.18143459915 2.623618E-16 7236.22503516174 2.756903E-16 7239.26863572433 2.924076E-16 7242.31223628691 2.696339E-16 7245.3558368495 2.665503E-16 7248.39943741209 2.556168E-16 7251.44303797468 2.423785E-16 7254.48663853727 2.374971E-16 7257.53023909985 2.489502E-16 7260.57383966244 2.448732E-16 7263.61744022503 2.360349E-16 7266.66104078762 2.188066E-16 7269.70464135021 2.192328E-16 7272.7482419128 2.218342E-16 7275.79184247538 2.201246E-16 7278.83544303797 2.165924E-16 7281.87904360056 2.235751E-16 7284.92264416315 2.162847E-16 7287.96624472573 2.094317E-16 7291.00984528832 2.237173E-16 7294.05344585091 2.241302E-16 7297.0970464135 2.242185E-16 7300.14064697609 2.268678E-16 7303.18424753867 2.140602E-16 7306.22784810126 2.315425E-16 7309.27144866385 2.355791E-16 7312.31504922644 2.277910E-16 7315.35864978902 2.211111E-16 7318.40225035161 2.317278E-16 7321.4458509142 2.295595E-16 7324.48945147679 2.392537E-16 7327.53305203938 2.419175E-16 7330.57665260197 2.402552E-16 7333.62025316455 2.351596E-16 7336.66385372714 2.432907E-16 7339.70745428973 2.536423E-16 7342.75105485231 2.437541E-16 7345.7946554149 2.368879E-16 7348.83825597749 2.360357E-16 7351.88185654008 2.365031E-16 7354.92545710267 2.418743E-16 7357.96905766526 2.259030E-16 7361.01265822784 2.184127E-16 7364.05625879043 2.293560E-16 7367.09985935302 2.216117E-16 7370.14345991561 2.184960E-16 7373.18706047819 2.086164E-16 7376.23066104078 2.152472E-16 7379.27426160337 2.252236E-16 7382.31786216596 2.251454E-16 7385.36146272855 2.305738E-16 7388.40506329113 2.333940E-16 7391.44866385372 2.199621E-16 7394.49226441631 2.342068E-16 7397.5358649789 2.394976E-16 7400.57946554149 2.378122E-16 7403.62306610407 2.396936E-16 7406.66666666666 2.418786E-16 7409.71026722925 2.431876E-16 7412.75386779184 2.419111E-16 7415.79746835443 2.625355E-16 7418.84106891701 2.482648E-16 7421.8846694796 2.437982E-16 7424.92827004219 2.501472E-16 7427.97187060478 2.572757E-16 7431.01547116737 2.599898E-16 7434.05907172995 2.567358E-16 7437.10267229254 2.550507E-16 7440.14627285513 2.590799E-16 7443.18987341772 2.454256E-16 7446.2334739803 2.488575E-16 7449.27707454289 2.486402E-16 7452.32067510548 2.398837E-16 7455.36427566807 2.517047E-16 7458.40787623066 2.577004E-16 7461.45147679324 2.443722E-16 7464.49507735583 2.426103E-16 7467.53867791842 2.402509E-16 7470.58227848101 2.279292E-16 7473.6258790436 2.444283E-16 7476.66947960618 2.551007E-16 7479.71308016877 2.258226E-16 7482.75668073136 2.336657E-16 7485.80028129395 2.202184E-16 7488.84388185654 2.091434E-16 7491.88748241912 2.115152E-16 7494.93108298171 2.138875E-16 7497.9746835443 2.066105E-16 7501.01828410689 2.057467E-16 7504.06188466947 2.095553E-16 7507.10548523206 2.022209E-16 7510.14908579465 2.071804E-16 7513.19268635724 1.977012E-16 7516.23628691983 2.008960E-16 7519.27988748242 2.039975E-16 7522.323488045 1.938838E-16 7525.36708860759 1.984752E-16 7528.41068917018 2.018162E-16 7531.45428973277 1.970015E-16 7534.49789029535 1.934694E-16 7537.54149085794 2.110556E-16 7540.58509142053 1.987025E-16 7543.62869198312 2.065423E-16 7546.67229254571 2.039651E-16 7549.71589310829 2.018330E-16 7552.75949367088 2.030681E-16 7555.80309423347 2.011339E-16 7558.84669479606 2.063803E-16 7561.89029535864 1.910518E-16 7564.93389592123 2.043411E-16 7567.97749648382 2.254167E-16 7571.02109704641 2.134838E-16 7574.06469760899 2.012576E-16 7577.10829817158 2.088321E-16 7580.15189873417 2.136640E-16 7583.19549929676 2.098026E-16 7586.23909985935 2.198651E-16 7589.28270042194 2.119701E-16 7592.32630098452 1.702325E-16 7595.36990154711 1.079691E-16 7598.4135021097 7.735624E-17 7601.45710267229 5.244628E-17 7604.50070323487 3.779405E-17 7607.54430379746 4.419541E-17 7610.58790436005 6.583354E-17 7613.63150492264 9.391080E-17 7616.67510548523 1.635247E-16 7619.71870604781 1.801663E-16 7622.7623066104 1.339962E-16 7625.80590717299 1.007555E-16 7628.84950773558 9.442878E-17 7631.89310829817 1.000169E-16 7634.93670886075 1.102244E-16 7637.98030942334 1.154792E-16 7641.02390998593 1.192973E-16 7644.06751054852 1.430614E-16 7647.11111111111 1.546381E-16 7650.15471167369 1.580551E-16 7653.19831223628 1.740281E-16 7656.24191279887 1.774103E-16 7659.28551336146 1.733860E-16 7662.32911392405 1.931806E-16 7665.37271448663 1.878955E-16 7668.41631504922 2.041595E-16 7671.45991561181 2.054714E-16 7674.5035161744 1.972140E-16 7677.54711673699 2.060259E-16 7680.59071729957 2.088522E-16 7683.63431786216 1.998596E-16 7686.67791842475 2.069037E-16 7689.72151898734 2.181748E-16 7692.76511954992 2.102620E-16 7695.80872011251 2.021634E-16 7698.8523206751 1.985350E-16 7701.89592123769 2.100280E-16 7704.93952180028 2.085036E-16 7707.98312236287 1.973219E-16 7711.02672292545 2.111013E-16 7714.07032348804 2.040930E-16 7717.11392405063 1.776710E-16 7720.15752461322 1.752568E-16 7723.2011251758 1.876365E-16 7726.24472573839 1.858091E-16 7729.28832630098 1.837019E-16 7732.33192686357 1.799523E-16 7735.37552742616 1.816284E-16 7738.41912798874 1.781669E-16 7741.46272855133 1.690352E-16 7744.50632911392 1.678505E-16 7747.54992967651 1.608095E-16 7750.5935302391 1.453461E-16 7753.63713080168 1.389921E-16 7756.68073136427 1.736413E-16 7759.72433192686 1.789185E-16 7762.76793248944 1.582695E-16 7765.81153305203 1.535953E-16 7768.85513361462 1.470406E-16 7771.89873417721 1.554845E-16 7774.9423347398 1.409413E-16 7777.98593530239 1.419856E-16 7781.02953586497 1.430449E-16 7784.07313642756 1.429726E-16 7787.11673699015 1.502985E-16 7790.16033755274 1.563611E-16 7793.20393811532 1.539359E-16 7796.24753867791 1.539323E-16 7799.2911392405 1.518694E-16 7802.33473980309 1.457227E-16 7805.37834036568 1.468583E-16 7808.42194092826 1.386571E-16 7811.46554149085 1.518860E-16 7814.50914205344 1.602077E-16 7817.55274261603 1.806900E-16 7820.59634317862 1.640334E-16 7823.6399437412 1.689193E-16 7826.68354430379 1.814939E-16 7829.72714486638 1.775589E-16 7832.77074542897 1.791067E-16 7835.81434599156 1.866418E-16 7838.85794655414 1.819459E-16 7841.90154711673 1.845969E-16 7844.94514767932 1.917735E-16 7847.98874824191 1.900590E-16 7851.03234880449 1.921817E-16 7854.07594936708 1.856606E-16 7857.11954992967 1.785590E-16 7860.16315049226 1.931131E-16 7863.20675105485 1.846025E-16 7866.25035161744 1.872777E-16 7869.29395218002 2.181758E-16 7872.33755274261 2.096218E-16 7875.3811533052 2.078592E-16 7878.42475386779 2.277044E-16 7881.46835443037 2.157630E-16 7884.51195499296 2.077837E-16 7887.55555555555 2.103838E-16 7890.59915611814 2.120570E-16 7893.64275668073 2.125798E-16 7896.68635724332 2.091874E-16 7899.7299578059 2.116757E-16 7902.77355836849 2.237799E-16 7905.81715893108 2.245021E-16 7908.86075949367 2.053144E-16 7911.90436005625 1.940570E-16 7914.94796061884 2.134393E-16 7917.99156118143 2.305918E-16 7921.03516174402 2.175814E-16 7924.07876230661 2.128168E-16 7927.12236286919 2.003641E-16 7930.16596343178 2.071439E-16 7933.20956399437 2.071652E-16 7936.25316455696 2.239872E-16 7939.29676511955 2.011376E-16 7942.34036568213 2.058507E-16 7945.38396624472 2.382401E-16 7948.42756680731 2.292137E-16 7951.4711673699 2.202453E-16 7954.51476793249 2.144833E-16 7957.55836849507 2.029355E-16 7960.60196905766 2.086902E-16 7963.64556962025 2.091645E-16 7966.68917018283 2.048273E-16 7969.73277074542 1.977506E-16 7972.77637130801 1.914514E-16 7975.8199718706 1.990774E-16 7978.86357243319 2.002639E-16 7981.90717299577 1.893504E-16 7984.95077355836 2.019192E-16 7987.99437412095 2.059440E-16 7991.03797468354 1.926094E-16 7994.08157524613 2.043224E-16 7997.12517580871 1.970481E-16 8000.1687763713 1.910231E-16 8003.21237693389 2.036676E-16 8006.25597749648 2.085461E-16 8009.29957805907 2.001357E-16 8012.34317862165 2.065369E-16 8015.38677918424 2.133957E-16 8018.43037974683 1.993598E-16 8021.47398030942 2.108417E-16 8024.517580872 2.167242E-16 8027.56118143459 1.949169E-16 8030.60478199718 2.142416E-16 8033.64838255977 2.035388E-16 8036.69198312236 2.115360E-16 8039.73558368494 2.162569E-16 8042.77918424753 2.111799E-16 8045.82278481012 2.142054E-16 8048.86638537271 2.096954E-16 8051.9099859353 2.007005E-16 8054.95358649788 1.952709E-16 8057.99718706047 2.055297E-16 8061.04078762306 2.131739E-16 8064.08438818565 2.145541E-16 8067.12798874824 2.219184E-16 8070.17158931082 2.166380E-16 8073.21518987341 2.066037E-16 8076.258790436 2.119672E-16 8079.30239099859 2.170135E-16 8082.34599156117 2.138111E-16 8085.38959212376 2.102867E-16 8088.43319268635 2.015784E-16 8091.47679324894 2.163159E-16 8094.52039381153 2.170733E-16 8097.56399437411 2.121856E-16 8100.6075949367 2.074569E-16 8103.65119549929 2.054110E-16 8106.69479606188 2.055817E-16 8109.73839662447 2.041829E-16 8112.78199718705 2.125335E-16 8115.82559774964 2.223878E-16 8118.86919831223 2.136789E-16 8121.91279887482 1.987921E-16 8124.95639943741 1.922142E-16 8128. 1.984802E-16