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@Gӕ=F @gIc \? (; BcN l#>fK? '_#w? RlCcޒȽry.p}{ ?Fe$f%f=aQ1?s)?hЇ?hֶ? כ8? @鱰ꃁx?'6Md-=E =" cutouts/SDSS/SDSS_z.fits 0000644 0000000 0000000 00001145100 00000000000 012225 0 ustar 00 SIMPLE = T / BITPIX = -32 / 32 bit floating point NAXIS = 2 NAXIS1 = 123 NAXIS2 = 123 EXTEND = T /Extensions may be present BZERO = 0.00000 /Set by MRD_SCALE BSCALE = 1.00000 /Set by MRD_SCALE TAI = 4546500001.88 / 1st row - Number of seconds since Nov 17 1858 RA = 187.51610 / 1st row - Right ascension of telescope boresighDEC = 47.472481 / 1st row - Declination of telescope boresight (dSPA = 91.855 / 1st row - Camera col position angle wrt north (IPA = 216.393 / 1st row - Instrument rotator position angle (deIPARATE = 0.0009 / 1st row - Instrument rotator angular velocity (AZ = 138.54993 / 1st row - Azimuth (encoder) of tele (0=N?) (deALT = 68.009331 / 1st row - Altitude (encoder) of tele (deFOCUS = -303.90000 / 1st row - Focus piston (microns?) DATE-OBS= '2002-12-13' / ISO-8601 time of observation TAIHMS = '12:40:01.88' / 1st row - TAI time (HH:MM:SS.SS) (TAI-UT = apprCOMMENT TAI,RA,DEC,SPA,IPA,IPARATE,AZ,ALT,FOCUS at reading of col 0, row 0 ORIGIN = 'SDSS ' TELESCOP= '2.5m ' TIMESYS = 'TAI ' / Time scale RUN = 3530 / Run number FRAME = 402 / Frame sequence number within the run CCDLOC = 42 / Survey location of CCD (e.g., rowCol) STRIPE = 29 / Stripe index number (23 <--> eta=0) STRIP = 'N ' / Strip in the stripe being tracked. FLAVOR = 'science ' / Flavor of this run OBSERVER= 'jurek ' / Observer SYS_SCN = 'mean ' / System of the scan great circle (e.g., mean) EQNX_SCN= 2000.00 / Equinox of the scan great circle. (years) NODE = 95.00000 / RA of the great circle's ascending node (deg) INCL = 47.50000 / Great circle's inclination wrt cel. eq. (deg) XBORE = -22.74 / Boresight x offset from the array center (mm) YBORE = 0.00 / Boresight x offset from the array center (mm) OBJECT = '29 N ' / e.g., 'stripe 50.6 degrees, north strip' EXPTIME = '53.907456' / Exposure time (seconds) SYSTEM = 'FK5 ' / System of the TCC coordinates (e.g., mean) CCDMODE = 'DRIFT ' / 'STARING' or 'DRIFT' C_OBS = 26322 / CCD row clock rate (usec/row) COLBIN = 1 / Binning factor perpendicular to the columns ROWBIN = 1 / Binning factor perpendicular to the rows DAVERS = 'v14_47 ' / Version of DA software SCDMETHD= 'sqrtDynamic' / scdMethod SCDWIDTH= 1280 / scdDisplayWidth SCDDECMF= 1 / scdDecimateFactor SCDOFSET= 40 / scdDisplayOffset SCDDYNTH= -19 / scdDynamicThresh SCDSTTHL= 30 / scdStaticThreshL SCDSTTHR= 30 / scdStaticThreshR SCDREDSZ= 478 / scdReduceSize SCDSKYL = 1216 / scdSkyLeft SCDSKYR = 1220 / scdSkyRight COMMENT CCD-specific parameters CAMROW = 4 / Row in the imaging camera BADLINES= 0 / Number of bad lines in frame EQUINOX = 2000.00 / SOFTBIAS= 1000 / software "bias" added to all DN BUNIT = 'nanomaggy' / 1 nanomaggy = 3.631e-6 Jy FILTER = 'z ' / filter used CAMCOL = 2 / column in the imaging camera VERSION = 'v5_6_3 ' DERV_VER= 'NOCVS:v8_23' ASTR_VER= 'NOCVS:v5_24' ASTRO_ID= '2009-05-26T14:09:04 16623' BIAS_ID = 'PS ' FRAME_ID= '2009-10-26T10:33:04 10170' KO_VER = 'devel ' PS_ID = '2009-05-26T12:35:09 30072 camCol 2' ATVSN = 'NOCVS:v5_24' / ASTROTOOLS version tag RADECSYS= 'ICRS ' / International Celestial Ref. System CTYPE1 = 'RA---TAN' / Right ascension, gnomonic projection CTYPE2 = 'DEC--TAN' / Declination, gnomonic projection CUNIT1 = 'deg ' / Units of coordinate increment and value CUNIT2 = 'deg ' / Units of coordinate increment and value CRPIX1 = 484.0 / Pixel coordinate of reference point CRPIX2 = 49.0 / Pixel coordinate of reference point CRVAL1 = 187.004414108 / [deg] Coordinate value at reference point CRVAL2 = 46.9589034277 / [deg] Coordinate value at reference point CD1_1 = 2.84640632809E-06 /RA deg per column pixel CD1_2 = 0.000109986550982 /RA deg per row pixel CD2_1 = 0.000109939425380 /Dec deg per column pixel CD2_2 = -2.84389580248E-06 /Dec deg per row pixel HISTORY GSSSPUTAST: Oct 26 10:33:21 2009 COMMENT Calibration parameters COMMENT Floats truncated at 10 binary digits with FLOATCOMPRESS NMGY = 0.0309609 / Calibration factor [nMgy per count] NMGYIVAR= 7.71281 / Calibration factor inverse variance VERSIDL = '7.0 ' / Version of IDL VERSUTIL= 'v5_5_5 ' / Version of idlutils VERSPOP = 'v1_11_1 ' / Version of photoop product PCALIB = '/clusterfs/riemann/raid006/bosswork/groups/boss/calib/2009-06-14/cal'PSKY = '/clusterfs/riemann/raid006/bosswork/groups/boss/photo/sky' / Value ofRERUN = '301 ' / rerun WCSAXES = 2 / Number of coordinate axes PC1_1 = 2.84640632809E-06 / Coordinate transformation matrix element PC1_2 = 0.000109986550982 / Coordinate transformation matrix element PC2_1 = 0.00010993942538 / Coordinate transformation matrix element PC2_2 = -2.84389580248E-06 / Coordinate transformation matrix element CDELT1 = 1.0 / [deg] Coordinate increment at reference point CDELT2 = 1.0 / [deg] Coordinate increment at reference point LONPOLE = 180.0 / [deg] Native longitude of celestial pole LATPOLE = 46.9589034277 / [deg] Native latitude of celestial pole MJDREF = 0.0 / [d] MJD of fiducial time MJD-OBS = 52621.0 / [d] MJD of observation RADESYS = 'ICRS' / Equatorial coordinate system HISTORY SDSS_FRAME_ASTROM: Astrometry fixed for dr9 Sat Jun 16 00:30:38 2012 END >U A@ A@ A@ <ˀ = >5 @ @ ` " > =b >t@ @ < =b@ =b@ A @ > >@ = =b@ >5 >5 = >t = = >@ = = "@ @ = ǀ "@ > ǀ ǀ > ` >@ > A "@ >5 = ` ǀ A A =@ =@ = >5 >@ > ?*@ ?I ? @@ @ @ ?@ ?x > @ @ = =a@ > @ >5@ = A >5@ A >@ " A >@ = >T >s =a =a >5@ < >T " >U A@ = >5 >5 >@ = <ʀ >5 @ >t <@ ` =b@ ǀ = >5 = = ` =b = "@ A = = @ =a @ ` <ɀ >5 "@ >t = @ @ A = >T "@ =@ =a < =@ @ > @ a > =a@ > ? @ @ @ ? ?x >s @ @ >5@ >5@ < < Ȁ " >s A A = a " > a a @ " =` @ ? <@ =@ = @ = >t >@ ǀ <@ >@ A = >@ < >@ >T "@ = =a = > <ɀ @ @ @ >@ @ > >5 > =@ >T "@ Ā > =@ =@ " >5@ a >T <Ȁ > A " @ ? >5@ > ?" >5@ >s > @ a = = > = > ? ?@ @N @\@ @ ? ?: >5@ > " > A =@ A >5@ >T > @ A @ >׀ < " >5 =@ >s =` < < < >@ >s @ B >@ > ǀ <ɀ =@ >t @ ` > >T "@ >5 @ =a ` = "@ >T A >5@ ?@ > " " <Ȁ > > " > = > A >s " > >s =a @ ǀ A = =a =a A =a >5@ < >5@ a > @ = @ @ > > @ = a a >T@ >5 ? ?ƀ ? ? ?*@ > =@ > > < =`@ @ @ <ƀ > " >s >@ = = <@ Ȁ <@ Ȁ =` >@ > > >5 Ȁ @ >5 > @ =@ =@ > >5@ =@ a =@ < = a >5@ > >T ? > A = > = A " < =a < = >T " @ >s @ = =` >T >s > <@ >s @ @ >׀ A ?*@ > A a " =@ >s >5 < = = < =`@ " > >T@ @ <ƀ @ = >5 =`@ ?Q@ ?A ?@ <@ a@ > Ȁ " < @ @ a@ =` Ȁ > < @ =_ > a@ =_ B >5 @ = @ > @ @ > > >@ = >5@ = =a > >s ǀ " > > >5@ = Ȁ =a @ a = @ " @ >s <ǀ = >T = >5@ " >s @ " A > > @ @ < >s = > @ >@ > = " = @ > = >5 a@ >@ Ȁ > = > > = >T@ @ Ȁ > > <ŀ > >s >s @ > @ @ <@ @ =@ = < > > =_ >s@ > > < @ @ a >@ @ =@ = > < ? @ A = =@ @ @ A <@ " > >5@ @ =@ @ =` a A @ =@ < =` >T@ =`@ @ @ > > @ > =`@ >5 >T@ >5 > >T@ " a@ > >T@ " =` Ȁ >T@ B = >s > >5 a@ < =_ @ > <ŀ B = @ >@ > >@ > @ > >5 =@ @ =@ > >@ >4 > < = B@ > =_@ @ >@ Հ =@ = =_@ # # > =_@ @ >4 = > B@ >T >T = > = = = >4 A " >5 @ = =@ B @ >T@ =@ @ @ ?@ @ >5 >T@ <ƀ = " = Ȁ =` =` = = < a@ Ѐ >5 a@ =_ =_ > > <ŀ <ŀ >T@ >5 > <ŀ =_ " > <@ > =_ @ =@ > > @ " =_ @ =_ a@ Ԁ >s@ >T =_@ = @ =_@ @ @ >@ @ >@ ?"@ >s@ >T @ >T @ < >4 > > ?*@ @ = ? @ @ @ = > <À a @ =@ = >4 = @ @ <@ a # @ = Ȁ " =` >5 =` =` ?@ =` = >T@ " =` = < @ < > @ <ŀ =_ > B >@ > a@ a@ @ >s@ > >s@ >@ =@ > " @ =@ @ >4 =@ =_@ Հ # @ =_@ = > =_@ = > > = =_ >4 a >s@ B@ > = B@ < > > ـ # a =@ > >4 @ >@ > B@ B@ = B@ >s @ @ >@ @ =^ >s @ > = = = > @ B @ >s <ŀ >5 >5 B =@ @ <@ @ =_ > < >T =_ >s@ " = =@ >@ > < =@ <Ā = =_@ = =_@ >s@ = >4 = @ a > < > >T = B@ = = = a =^ # @ B@ = @ =^ >4 @ a < >@ < > >S = >@ =^@ >4 >4 >@ B ɀ = = = >4 > = =^ <@ >@ >4 =^ >@ ɀ B = ɀ @ < =@ > # >4 @ >@ = @ @ <Ā > >4 = > = >s@ a > = > > = >s@ @ < >s@ >4 = > > >4 >T > <À >@ > @ >4 @ > < =^ B@ >@ >s >4 @ < @ < #@ @ >S > =^@ >@ >@ a @ = >@ >@ >S = >ǀ >@ >s < > B #@ = < = >S =] @ >s >4 > =@ =@ >S a @ = = >4 > > = @ = ׀ ׀ > >@ =_ @ >@ > < B@ =^ >s@ > =^ @ <À >T > @ =@ @ @ @ @ <@ =^ B@ =@ >@ # =@ =^ < > > a @ #@ =^@ @ #@ =^@ @ >@ > a = a > = < >@ > >4 >@ #@ =^ #@ @ =] >S ɀ =] @ > < >S >S <@ #@ = @ =@ >4@ =@ = @ =@ @ = @ > =@ < = B = <@ > @ @ ڀ >@ @ @ > > ۀ =^ >@ = = >4 < = > =@ @ @ @ a B #@ >4 >S >4 >4 > =^ >@ =^ >s = ɀ = < @ > >4 @ #@ >S = =] @ @ >@ @ =] =@ =@ =] >@ > @ > =@ @ #@ # >4@ b = # @ @ >r # @ > >ǀ >S >4@ > # # B # = = @ # >S >r B = @ < @ >s >S > > < >@ a ݀ = =^@ >@ >4 =^@ < #@ > = >4 <@ < >@ =^ = a @ > =^ ɀ < >4 = #@ @ ɀ ɀ >S >s = > >@ >S > #@ #@ #@ > > @ < @ >S < # >4@ > =]@ @ >4@ = =]@ =]@ >S = >S > >4@ # >@ = B @ =] > < =] > = =] >S > = >ǀ = b >4@ >r b # =\ > >S = @ >r > # = >@ = B =^ a < ɀ < > = >4 > > =] =] =] =] >4 #@ < a < < @ =@ = =@ =@ > @ >4@ =]@ >S @ >4@ >4@ >ǀ B > >S =] >4@ >4@ @ > >4@ = B >S @ b < @ = B =\ b @ @ >S < =@ =\ @ >r =@ =@ @ =@ @ @ =@ b@ >4 C >S@ < # = >4 = ʀ =\@ # a >s @ @ >@ <@ >@ >S @ >@ < a @ > =]@ # =@ @ # = @ =]@ >S # = =]@ @ >@ # B = = >S >4@ @ = > @ > =@ > =\ @ > @ > > >r @ >4 b =@ @ > =@ # =@ b@ < # @ @ < = > = b@ >4 <@ >r ʀ > < >@ = >S@ > > # ʀ > =@ @ >@ @ =@ =]@ @ =@ @ >r >S b @ @ b @ < = =] @ b =] @ @ = # @ > @ @ =@ b # @ >ǀ > @ B < = >4 = >4 < =@ >4 > =@ < b@ C # <@ >S@ <@ >4 >4 C > >4 C > @ =\ b@ @ C =[ = # =[ > C # = > # @ >r <@ =] > @ = = < b = @ =] > > < >S @ @ # > >@ > = <@ <@ b > @ > =@ > > >r =\ @ # > > >S@ > @ >S@ = =\@ >S@ = # b@ >S@ =\ = >S@ =\ @ # = < < @ >r >r < < =@ C # b@ >4 <@ @ > =@ < b @ =[ < =@ < @ > < =[@ > < = = $ $ > = # # @ b = > ? @ >@ >4@ @ >r >4 >@ = =@ b < # C @ >r @ =\@ =\@ @ # =\@ > = = = > b@ ʀ = @ =\ b@ >S@ = = > > < # >S@ >4 > @ >@ >4 > =[ > > =[ C @ >r@ b =@ =[@ > > $ > C@ = b > > @ = =[ =[ $ C@ @ > = < @ =Z =Z b b@ @ =@ >S@ =\@ @ @ # = > C b@ <@ b@ # C = = @ =\ C b@ = >@ >4 < b@ >r # C @ C @ =@ < = = >4 C <@ @ >@ # = @ @ < @ =[ =@ = > =[@ = < > >r@ ހ C@ > >3 =[ >r@ = > = =[ C@ >@ >3 >r@ > @ = @ > @ = >3 =Z > =@ b = C@ = =Z @ > @ <@ b@ >r = > >r >S@ < < = = ʀ >r =@ # @ # <@ > >r # @ > > C =[ # >S = @ < > < =[@ > $ >3 @ @ >S > > = >3 >3 >@ @ $ >r@ >@ @ = @ >r@ > >3 = @ < > @ @ @ <@ =Z C@ C@ > < @ @ >r C@ $@ < @ < >3 =Z@ =Z@ >R =@ = $@ $@ >3 $@ @ <@ = @ > # =[ <@ @ > = >@ >r@ @ < > < =@ @ > =@ >@ = >3 >3 < > = >3 <@ >r@ >3 >3 > >@ > @ =[ < > @ = @ =@ =@ C@ < > <@ @ >3 =Z >3 = >R b >r < @ @ >R = < >3 = >r >r C = C $@ ˀ $@ @ = = > = @ $@ < ˀ >@ ˀ >3 @ @ @ = < C@ >@ > = >3 > < b =[@ = = >3 = <@ = = >S = >@ > > = >3 >S = >r@ >S $ =Z >3 >3 C@ b >3 <@ > $ >R @ >3 >3 >@ C@ =Z > $ C@ > > >3 > >@ $@ b < >r = = = >@ > < = b C > @ C >r =Y = < >@ < @ @ b @ =Y >@ =@ @ > >3 > @ >@ > = =[ = > < > $ > >S ?@ = = @ $ >@ > =@ >S @ @ @ =@ @ >@ C@ >@ = C@ >3 = >@ >@ > >@ >R >r >r @ < < =Z@ >@ <@ > = ˀ @ C ˀ = < $@ >@ = =Z $@ >r ˀ >@ < = =Y =Y >3 @ = <@ <@ = >3 $@ =@ > = > @ @ =Y @ @ C >R < =@ C > @ @ @ <@ > =Y >R C@ @ = C@ C@ C@ <@ @ $ = >S > < C@ @ @ =Z@ = @ > >r >r C >R >@ $@ $@ <@ = = b >R > b < ˀ =Z =Z < >3 =Y = = > = @ =Y = > < $@ @ @ > @ = > =Y @ =Y =Y < c C < c > < C <@ = c <@ > < c = c @ < > C >R >q >@ C >R $@ > >@ > < =Z@ =Z@ =Z@ = C =Z@ =Z <@ =Z = @ =Z =Z >3 >R = $@ = > >@ =@ @ >3 $@ $@ = @ =@ < C $@ = @ =@ c @ >R $ >@ =@ @ < = < = <@ =Y@ = <@ c > =Y >R > > @ > >3@ =X < > =X > = =X >3@ > =@ <@ @ =@ C >R =X >R >q =@ >3 $ $ @ <@ >R ˀ $@ $@ = >3 @ C = >R =Y >@ >@ . >@ @ >@ =@ =@ =@ =Y >@ >R > $@ >@ =Y C = =Y@ = =Y@ >q > $ < > =Y@ =Y@ >R = > >q > >ր > < > = > >3@ = = @ > = >q >3@ < ? >R @ @ = =X >q > > >@ >R@ @ @ $ = =X = c@ @ < =X@ > @ > = > =X@ =X@ >q = > =X D >R C > = >r $@ @ >@ >3 < >R >3@ = < @ $ >3@ < >R $ >q =Y@ >q >3@ >q $ > @ = <@ $ > $ $ C $ =Y c >R @ > >R @ $ > >q @ > >@ > @ = > @ > @ <@ <@ =@ c @ >3 =@ = > $ $ = >3 > = >@ =X@ > >q @ @ >q >R@ > = ̀ < >3 D = >ր >3 ̀ =X @ = @ = =W c@ =W > C >@ @ > < @ = > C >q >R c @ $ >R = @ > >@ > @ >R >3@ > > =X =X >R > c > <@ = =X @ >3@ =X > > @ >3 > = > > >R@ @ >R@ @ =@ < =X@ > < = > = < <@ $ D =X < > > >3 > > @ < ̀ < @ = @ =W @ = $ D @ > D@ D@ @ = =W = <@ C = >@ @ > @ =X = @ < @ >q @ =@ =X c =X =@ @ @ @ @ @ > >3 @ > @ @ > =X >q > @ =X@ < @ @ >R@ > $ D @ D = >3 @ = c@ >3 c@ = > >q @ D > = =@ < = =W =@ c@ >3 = >3 $ < @
>@ =W = > D@ =W@ =W@ =@ >2 = > < > >q@ >2 > @ @ D@ @ < < @ <@ $ ?
=@ @ =X @ >q = =X @ >3 > @ =X@ =X@ @ @ $ @ >q @ >ր > >3 >3 > ̀ =X = > >@ > > ̀ < @ >@ < $ D < ̀ > >3 = @ @ =W >3 > $ = ?" =W @ < > % D@ >@ >ր ?
@ > = =W@ c <@ = <@ <@ <@ >2 >q@ >q@ =W > >q@ = =W > >q@ @ > > >@ =X =@ =@ =@ >3 = @ D > D > <@ >3 >q ̀ = =X >R@ c@ < =X >R@ > ̀ > = >3 D @ > > >R@ =W @ @ >@ >R@ D =@ >3 $ >q@ @ $ = > < =
@ @ =@ >q@ >ր < @ D@ =W@ = = =W =W >q@ >@ < = >q@ c >q@ @ =W c % >R > = > > D@ < D@ c >@
= > > >q@ >2 > =V @ %@ c =V >Q D >@ > >3 = > =W ̀ < >@ >3 $ =W >3 @ >R@ = =@ <@ <@ <@ > >ր =W =@ >2 >R < >@
=@ < > = >2 =@ c >2 c > = >R <@ @ >2 = >@ = >R < % =W > = = = =@ =@ = =V @ > @ >R @ @ = >@ %@ =V @ = >@ >q > = @ > = >Q = >@ = ̀ >2 ! =V =W $ < = @ >3 =W > =W >@ =@ @ >q@ = = % > <
> % @ = =W@ < % = =W@ @ >@ =W @ < >2 < < D@ % @ %
% > ?! =@ % =@ =
D@ >R =@ >q < < >@ =@ = >q < =@ =@ c >q >q >@ >Q %@ ̀ = = >Q %@ = @ c = = !@ %@ > !@ >2 >Q =U =W
= =W@ >2 >2 % D@ > = = =W@ % @ <@ <@ D@ = > >R > =W > = = >2 % = @ =V D@ < D@ > >@ c @ <@ % < >2 % @ > = D@ D@ @ >@ =V@ < >@ %@ D =V@ D <@ = %@ >2 =V >@ @ ! >@ = D =U !@ ̀ %@ = =@ @ !@ >@ @ =U %@ = c %@ > @ ! > >2@ >Q =@ = % @ >@ =W % >@ = > < = @ > = =V =@ =@ @ =V >R =V % =@ =@ >@ % >Q @ < = > @ =V =@ >@ >Q =@ @ >2 = D <@ >@ = >2 = >@ %@ ?@ =V %@ >@ >@ < ̀ < = = ! < ̀ !@ @ D D =@ >Q >@ = !@ >@ >Q =@ > =@ >Q < >@ ! >2@ =@ d > ! >p @ =U@ > >2@ >@ ! >2@ = @ = <@ " "
> >q@ =@ @
D@ > @ @ % >@ % >q >2 >q =V@ =@ = D < >Q >2 = c = > <@ =V@ = >Q = < > >Q %@ = = = < c >@ > < >q ̀ =U =U = =@ c > < =U =@ >@ @ @ ! @ < D >Q %@ < > @ =U > % >2@ > =@ >p @ @ % D @ > = =U > = >2@ >2@ >Q > > > = = > >2@ = @ >2@ @ c =V < %@ >@ @ D >@ @ > >@ >Q >Q >q ! > =V D >q >2 < ̀ = ̀ D =@ = =@ =@ =@ ! >p >p > c >Q @ =@ % < @ > =@ =@ >@ > @ > = >Q > @ = >2@ <@ % >@ " > < =U % = d % < = = =T >2@ =@ > "@ @ "@ "@ D = <@ d <@ = >@ =T > >Q % >2 >@ = c %@ >@ >Q ! < D =V %@ ̀ =U = >@ = =@ >@ >q = D > >2 > @ @ >2@ >@ @ =U > > ! < < >@ >@ ! ! = = = % >Q = ! D > = >2@ ?
@ = >p >ƀ =U @ @ >Q D > > d >p > >Q % = >p <@ >Q @ > @ % >p >2 E % > >2 >p ߀ > > >2 = = = d@ >@ " E = <@ # E = =@ =@ =U =@ > > c D >p @ @ @ =U@ d D = < = > @ > <@ = @ ! <@ = " = % < = D > = =U = < >@ d < "@ "@ "@ > > @ = "@ @ =T % > = > >2 " > >2 >@ < >2 < =@ d@ > > < = @ >2 = % @ > > % <@ % % >2 % >Q@ < > =T >2 > > < = d@ < % >@ @ >2@ >p > >@ < ! <@ @ >p = " > d >Q = @ @ < < >Q > % >2@ % >2@ =T % >Q =T = =T > > = >@ >2@ " =@ > @ >Q@ < d >Q@ =T % = >@ @ % > % >2 @ " " % >Q@ <@ % % d@ = # # = >Q@ > = < = % =S =S >2 = % = > % @ > >p >Q@ d@ E <@ =S # d < @ > # @ D ? > = @ >ƀ > >2@ >Q >Q >Q D < >p @ "@ d >2@ @ =@ "@ =@ >p ? @ = > " % @ @ % @ =T@ @ >Q@ = > @ >2 % = = E >@ >2 > % @ =T < = #@ < = =S ߀ E < #@ <@ =@ > <@ d@ =@ < # > % = > @ >@ > & # >Q & > =S@ >@ ߀ @ @ & =S >Q = <@ @ @ = >p @ >2@ @ > =@ >Q >Q@ = " > % < >ƀ % > > @ < >p E =T@ >ƀ = " > E # =T @ d@ >Q@ =T ?! E =T > > = = #@ < > >Q@ > =S E = >p > <@ > @ > < > = >p@ =@ @ >Q =@ d >Q < >p@ > =S =S >p@ >1 > > > >1 @ < $@ > >p@ @ = >p@ = < =@ >Q@ d@ =T@ % " < " % " > >p >2 < >2 > > > =T >2 = #@ > = >2 >p #@ % = = >Q@ > d@ > =S >Q@ ? > >Q = >@ >Q =@ @ >@ > = >p@ @ =S@ @ E@ = = >@ > # <@ = @ & = =S & = = $@ E@ & = = =R d E@ > =R < =@ =@ =@ =R @ >@ < @ = >p # = > =T >p > % =S =S >p > =@ % =S =@ =@ @ =S = @ =@ > =@ % # >p@ E@ d > > # > > @ < # >p@ @ >Q = E@ > E@ & < > d d = > > > =R >p@ > & $@ < >1 = @ <@ & > = > =@ < >@ & >1 = >p =R@ = >p = =@ >P &@ $ d $ E <@ =R d @ > >2 > #@ @ > =@ < >Q >1 ߀ > >1 @ > = > =@ @ < E@ = @ # ?@ >1 E@ =S > $ >1 = < = >p@ >1 >p@ >Q E@ = < d = >1 > @ >Q d <@ >@ < =R >1 $ >@ >1 < @ $ @ >@ d @ @ @ > = > $ > >@ >@ > &@ = % >P π = > =R = < >@ > = >@ ! < = < > < >Q @ < < d = > = >1 <@ $ > < > = >p@ >Q > > $ >@ >p@ $@ >Q >p@ $@ >1 =R > >Q >Q E@ @ > & $ @ < < =@ &@ = = < > >1 >@ @ = π = &@ E π d % π π < π =Q =Q >1 > < ! < >p E >@ = =@ >p >P < =Q > d & > = E @ < " >1 =S $ =S = > $ > > $@ =R > = =R > <@ = >Q > $@ $ $ >p >@ > @ d >P =R =R < > >@ > >1 @ < = >@ = < = >P = >p > < &@ >1 >@ % >1 % > π % >P = > >@ >@ %@ >@ =Q > >@ !@ d >p <@ d &@ &@ >P >@ >o @ =@ < " @ >1@ " >o =Q@ > = #@ =Q@ >o >o >1@ @ @ # > > ?
@ >1 > > >p@ $ <@ > =R E@ >@ =R @ $ $ @ < >@ &@ =R@ =R@ d >@ > π > >1 =R@ = > =R % E % % < % π % >P = = π >1 = >P = < = @ >@ d =@ @ =@ %@ ! E <@ >o = = >1@ @ < % @ E < " = % @ = < < > >1@ #@ >P <@ <@ # > E $ @ = < > E = & > >Հ >1@ =P = = = < @ = = &@ @ =R@ d >1 > =R@ >@ $ < d >P <@ &@ >p &@ > = &@ = =R =R =R % % π >@ E = >P E =@ E @ @ > =@ ! = =Q % > ! =@ >1@ E > = @ ?
"@ =Q d > % % >o @ @ % @ < # e = > & <@ > & <@ = > @ & >@ >o & >o < >@ < &@ = =P &@ % > >o > = ?@ >1@ % =P @ & >P >o =P e@ > < F @ >o >@ % &@ >P % >@ =R > >@ >@ >1 > >@ >@ >@ >1 >1 %@ > = >P >@ >o > &@ @ >o > >P &@ =@ = % % e >@ @ >o " % E =Q@ > = >o >P > =Q e ? > & = = >@ = @ < >o $ @ > > = @ & = % >@ @ > =@ >@ >1@ > @ >Հ & @ >P@ @ =P e@ >1 = >@ & @ > ' ' = >o > e@ >P@ Ѐ >P@ >P@ > ' ! > >@ E <@ >P &@ &@ >o =@ =@ @ >@ > =Q =Q > =@ = @ =Q@ E % & % < = <@ >1@ > > > = & & = >1@ > e >@ = = = @ &@ ? $ =P @ = < =P >P & @ > >P <@ >@ <@ =@ E < >1 > = &@ >P@ & < & = & = =P@ > > = = @ >P@ > > = = Ѐ >o = >@ >1 =P > < < < Ѐ ) >P@ = > @ E =@ < % % >P =Q@ =Q@ >@ = > >1@ = >@ <@ @ >1@ > >o >o = $ $ = & =Q > = > @ $ E >P e $ >P = = >P >1@ >1@ %@ E @ E =P <@ =P % < & >P@ > > @ & = >Հ e@ & > & < @ < = Ѐ >1 & & <@ > & ' = e@ ( =P ( e@ (@ = Ѐ Ѐ = = >1 '@ < > =@ =@ & @ >1 ' @ =@ =@ @ >1 =O @ *@ @ =O *@ =O > > =Q =Q >1@ & @ $@ > >@ > > @ $ = $ > < =P &@ > = &@ =P = & > e @ =@ =P =@ &@ < =P &@ e & & = @ & & = @ > ' > >P@ >o > > Ѐ >1 = >1 @ = ( =P >@ (@ < = > < & >1 Ѐ > =O =O & =O > Ѐ ' >@ >P * >o@ F@ @ >0 >@ < >0 < > >0 > F@ @ = > ' = > > = <@ % @ %@ &@ &@ >o >P =P @ = % =P >P@ @ =@ @ F =@ @ = >@ = >1 ? >P@ e@ @ & = >1 = >P@ >@ > ' > ' F Ѐ >o =P >o Ѐ < Ѐ = F '@ = >Հ =O >1 > >@ > >o =@ >Հ > > @ >1 @ > =O ' > < > >0 =O *@ >o@ < =O@ @ >@ ' >@ e @ > =O@ = > ' >o@ + <@ ' = >@ > F@ = < ,@ < =O < >0 > > ' Ѐ < < F@ ' & >1 = & >@ & e@ & = >@ >o e@ > =P@ ' & = = ' = = > F > (@ = (@ > >P@ >Հ > > ( @ & =O e@ = ) >1 @ >1 >1 '@ e@ >@ & >@ < ) =@ =@ =O >@ >0 ?@ ?P@ > ? >P >o@ =O@ = ?@ F@ >@ > e @ < ' = e ' <@ + > =O =O >0 > = = >0 < F@ = >o@ > =N =N (@ e @ =N F@ Ѐ - >@ >@ >@ =N < = >o@ F e >O > .@ > ' Ѐ >1 >@ ' >1 Ѐ ' < ' = = = >Հ @ >P@ '@ '@ <@ > >1 @ > >o@ < > =@ =O >@ = = *@ > >o@ > * =O@ ' >0 >o@ >P > < ' F@ @ = >o@ > ?!@ > > >P =O ( > > = F@ (@ ' >0 F@ > > ' =N <@ (@ - >o@ > e e ' < > >0 = = >@ . @ @ . @ >0 F < > = '@ = F ) / >P@ >@ <@ = >P@ =O >1 >o@ >@ >P @ & *@ ' @ =@ =@ @ e ' >P ' >@ @ @ = > @ F@ > > >o@ < = e >o@ ( >@ ,@ >0 = ' ( >0 > > ? ?o ?р ?@ ?1 ?)@ > >o@ <@ F@ > > @ @ ' ' @ @ ( >o @ =N >0 F >@ >0 >@ ( '@ < e р > > F <@ р р 0 >O >O 0 =N = >@ = e @ = >O >o >0 >o = > >@ ' * > >@ ' < ' =@ =O@ + >P @ ' ' >0 >@ = ? =O = > =O ,@ F@ > >o@ > = > > =N >P < =N = > =N > (@ >@ =N ( =N =@ - > > > ?)@ ?o ?@ ? ?g ? > >0 ( > < < >o @ ( =N@ р >@ >o / >0 <@ р > 0 > =N '@ 0@ >@ =N < @ e = =M 1 > >0 @ e F F >@ <@ 1 >@ >@ @ F = @ < = ) ' ( >o@ + > < = = = > = =N = >P = = - >@ < =N <@ >P =N <@ =N = > >0 >@ . < =@ = ' >0 e = > . >@ Ѐ @ = >@ > >0 @ >@ р = >@ >@ ?) ?@ ? ?@ ?X >@ >o > >O = =N =N > ) =M 0 '@ 0 =M '@ >@ )@ )@ >@ >0 >o >@ >@ < > =M F >@ >n = @ > >0@ =M@ @ @ =@ >0@ >n ) = @ >@ 3@ >0@ = >n 3 >@ F@ (@ < (@ > - @ > > = >O . ( > >@ =@ ( >@ >@ = < '@ >o > ( >0 > F F '@ '@ = =N / < / >@ >O >@ р > >@ ) < < р = >0 >@ >O ?@ ?@ ?8 > >@ @ >0 > >0 <@ 1 = >O = @ = @ =M =M F @ < = @ =M@ < > =@ @ < > >O = > f = =M = =M @ F @ >n @ = = > = =L @ >n *@ f =L >n = = >0 >@ < e . = @ >0 / р F > >O <@ e ) = >0 < '@ @ = >@ >o =M = = F ? '@ >0 = >@ > )@ '@ > F > =@ =@ = > >n >0@ =@ ? ? ? ?8 >n =@ =@ >@ > > @ < > 3 =M@ = = <@ =M f =M * =M < < f @ = F = = > F =L > 5 *@ >ŀ >0@ *@ f =L *@ @ ' > <@ @ < @ @ >n = =@ > >O@ ? / >@ >0 >@ ) ) > ) < >0 р =M >@ >O =@ @ e <@ )@ <@ >o @ =@ @ @ =M >0@ >ŀ > =@ > > > > = =M@ > @ ) < >O =M@ >@ @ 3 F @ > > ' F >@ > > ? >@ = < > > < > < > > 4@ >0@ F >n >0@ =L = >0@ = @ f f *@ =L 5@ =@ @ f * @ < > F @ =L * f@ @ > >0 * >n > @ 7 ' >n 7@ > * > > >ŀ >0 >0 > )@ >@ =@ =M >ŀ =M =M '@ >0 1 >O > >O 2 >O < 2@ 2@ > @ > >0@ ) @ = >O 3 @ @ 3 >@ >O <@ =M@ > ' >0@ >n * @ = F >ŀ = F = > > > >O =L = = > =@ > > > *@ F = = =L >ŀ > f > * < * ' > >O@ > =@ @ @ 6 =L@ >n = >@ = G 7@ Ҁ >@ f@ = @ f@ = 8 < =L = >n = < 8 > +@ >O@ = > 2@ > = < @ =M@ @ @ ' > 3 > = >0@ =M >0@ >@ 3 = @ =M 4 < F >0@ < < > 4 @ >0@ < >O *@ =L *@ >O >@ f <@ 5 =@ =L @ @ ' ' =@ >@ 6@ < =@ =L@ @ 6 ' >O@ G > = > >0 > = =L@ Ҁ ' = ' + 7 + > f@ Ҁ > G > >0 > >O@ 9@ @ >O@ >n >n > <@ > =@ ' : >n >n =K @ >/ ' >n < F f > >0@ > >n >0@ < F < =L > =L > <@ <@ >0@ @ 5 =@ > 5 >O@ =@ f >0 ' * @ = =@ = = < > >O@ >O@ < ' @ > Ҁ * >O@ >0 =L >0 >O@ >O@ Ҁ f@ > >O@ = >O@ G < G @ < = 8 ' =@ =@ G +@ +@ >0 ' <@ >0 > 9 =@ >O >n@ + ( >O < >/ @ G@ < >/ + =K@ = =K@ >O =K@ > G@ ; ( < = > > F =L =@ > * = @ =@ ' @ @ @ @ = G @ ' = >n < < < >O@ 7 >n >n >ŀ >O@ >n > >0 >n = >0 > + Ҁ + = G < @ + f@ ' + = f@ +@ >@ < < @ > > @ > G = 9 G <@ >n@ >/ > @ : : @ > >/ >O >@ >O =@ ? = > >n@ ;@ >/ ; > > >n@ = f >n@ G@ G@ ( =K = < < > ( < = @ < > * =L@ > G ' >0 ' ' > > >O@ >ŀ > >O@ ' f@ <@ < >O@ =L > + 8 = = > = >@ G +@ =K Ҁ = < Ҁ 9 < =@ >O@ > >O@ @ > + >O = >n@ : + < =@ =K =K G + =@ @ =@ ( =K@ = G@ @ > ;@ = + ; <@ < G@ =K >@ < <@ > < = ,@ > ,@ >O f >@ ( ,@ > =J f =@ ,@ >@ <@ = = > > > > >n@ >N >/ > > @ 7 = 7 >O@ > Ҁ ' < @ > = =K f@ < = < >n >0 9 =K > > ' > @ >O =@ =K >/ =@ =K > @ G :@ f@ : > >/ = + @ < =K@ > + > G@ > G@ f >@ ; = > @ >/ <@ , f =J >/ = ,@ @ > > =@ = =@ =@ ? = = >@ f >n =J (@ =@ > = >N , > , @ G = ? >N < G @ >@ (@ <@ = > Ҁ > =K <@ > > @ >0 ' > @ > = f@ @ = >/ >O > : =K@ f =K@ > @ > = > =K@ + > ; = ( G@ = G@ >@ , >n@ < >n@ = > < = >/ >/ ,@ >n@ >O =J > G@ >@ G@ = >/ > = >N > >/ G@ , =J@ > = = =J@ >@ , Ӏ @ Ӏ - =J = >@ f f >N =J @@ >@ >n -@ > (@ = -@ G f > >@ < @ =K@ < = >@ >/ G@ + + ( G@ , > , G@ >n@ >n@ , <@ = >n@ , @ >n@ ( > ,@ =@ =@ =J ( = >n@ ,@ >O > = = <@ , > = >N @ >@ f =J < , @ >@ > < = > =J@ > >/ >@ >@ >@ G , @ >@ >n G = G =J - >@ < =J = = >N < < -@ ? =@ =@ f >N >/ <@ > G >N =I =I > = @ >N g = > =K = = > > < >/ =K ( @ G@ >@ = = =@ ( ,@ G@ =@ @ <@ >O >O =J =J = >/ =@ >@ > >/ < = < >/ = >N >N , , > >N >n (@ >N G > >@ = >/ ? - Ӏ < Ӏ < =J >/ = > = (@ Ӏ = Ӏ -@ =@ = -@ @ = > > >/ G =@ =I B (@ =I < ( < @ =I >N >N >@ ( < >m >/@ - >@ >/@ > > <@ <@ = . @ >@ < ,@ > = =J <@ , >@ ( >/ >@ >@ , < >/ < @ >/ @ > > < , = >@ > > < >/ = =J , = = Ӏ = > @ = @@ @@ = f > G Ӏ (@ = G =I >n = =@ G (@ > @ @ >/ =I >/@ @ < @ =I @ B =I@ - >N G @ >N = = C@ - = - >/@ >/@ > > = > ( >m >N . D D ( G < @ = = =J < (@ f =J@ = < >N = G , = f > (@ ? =J >N < < = < G >/ > @@ = < >/ @ = @ -@ >/ f =@ >n =@ > -@ =@ A@ (@ @ = G A >N >m B @ >@ = >m >N =I =@ - =I@ =@ - @ @ @ < > @ ( > = ( >/@ @ C . = D D ( = ( ( > = G = E ( =@ > @ .@ =@ @ G E >/@ > > @ < >m F@ = <@ ? = Ӏ Ӏ - >n (@ = >/ = = > -@ >N = (@ f >N G <@ - >m G (@ A =@ > - > < @ G - >N g @ > @ G = @ g C@ >m - > >N > @ =I =I >m = =I >m g @ g =H > >@ g >Ԁ =H >/@ > @ > >Ԁ > =@ > > = @ < H = = >N@ . =H@ @ > G < >/ =H@ . / >N @ -@ >n @ < <@ -@ @ - > A > < G = B@ >@ G >m @ B @ ( - C@ ( G @ >m - >/@ = >/@ . G >m >/@ < . > < ( ( @ =H G @ ( @ =H > > @ >m @ > <@ >/@ =@ = F =@ F@ @ > =@ g@ =H@ = ( g@ =H@ >@ ( >m = H =H ( g@ =H > Ԁ > < =H H@ >/ = @ / < = /@ @ > >/ @ @ >m @ = B B < >/@ @ @ = @ @ g - g =I > = < >N = g > < > > D@ @ < = =H >/@ ( ? =H >Ԁ g < =H E@ >/@ @ <@ >m >N@ =@ < = @ G F > = F@ > > @ F >N@ >N@ > >/ < > = =H@ . >/ <@ @ >N@ = = = = > < >N@ Ԁ H ( = >@ =G = @ ( /@ @ I g@ >m >/ =@ ( > H@ @ > J > =I@ >@ > . >/@ > > >N >Ԁ @ > > < ( > ?@ < ( > @ = g ( >/@ .@ E @ < >m =@ @ . @ F@ > =@ G >@ =@ . = F F > = >m = >N@ >m G@ = >N@ = . G Ԁ >N@ > Ԁ >@ = / Ԁ Ԁ > =G = < @ Ԁ = ( >m < I > <@ / @ @ =@ >m@ = = = > < > >@ ) / H@ @ >N >. / g <@ <@ H@ > = >/@ >m @ g > = >/@ >@ >m E =@ = E < @ =H =H ( >/ < >m > F F = = >Ԁ < < H >N@ > > >m > > > H >N@ = >/ / =H H > ( >/ >@ =H H / >N@ g@ ( >@ >/ H >@ /@ = > < > =@ /@ >/ ? H @ > =@ / >Ԁ @ / >@ =G@ >m@ J =G@ =@ / < = K@ <@ / <@ <@ =G < = < =G = g < >. = =G @ = L > >m@ >N@ >@ . @ H < g@ =H@ . @ =H@ . =H@ >m = =H@ >@ >N@ G <@ >@ @ = > H H = >@ H@ > < H < @ > = =@ I I > <@ /@ /@ > р >@ < > = / >@ / J =G@ =G@ @ >@ H@ >. = >m@ < > ) H@ >N =G >. >m@ <@ H@ 0 L =G =G ) L@ =G = < = >N M =F >. 0@ @ 0@ 0 >. <@ > g 0 @ =F )@ >N@ > g@ g@ >/ =H >/ H H >/ = = < H @ = ( = Ԁ >@ > @ =G =G @ =G =@ > / >N >m@ < < = = J@ >N >m@ @ < р < @ >. ) K >@ =G@ > = = >. >@ K >N > = L@ >m@ = < > > > > H@ =F > ) @ ) M@ =F <@ > H@ > >N > N =F N@ =@ < N@ N @ > >@ 0 @ >m >@ = > > = >@ =F@ >m >/ =G = @ = = > > <@ ( /@ > <@ @ ( >m@ I > @ =G > =@ =@ J > g =G@ > =G@ =G@ g >@ > = =G@ K K >. K ) K H@ 0 > @ > 0 =G >. > 0 >N >m@ >N > >@ > >m@ >m@ >N ) < < >N >@ = > >@ ) = N@ > > @ =@ =F = H >@ >@ =@ N @ > @ H @ H O >@ H 0 >m >M >@ <@ >@ >M >@ >@ =F ? 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