batgrbproduct analysis for trigger=440635

batgrbproduct Analysis for Trigger=440635

Analysis Summary

Notes:

1) No attempt has been made to eliminate the non-significant decimal places.
2) This batgrbproduct analysis is done using the HEASARC data.
3) This batgrbproduct analysis is using the flight position for the mask-weighting calculation.

======================================================================
                  BAT GRB EVENT DATA PROCESSING REPORT
    Process Script Ver: batgrbproduct v2.46
    Process Start Time (local time): Sun May 10 04:06:26 EDT 2015
             Host Name: bat1
   Current Working Dir: /local/data/bat1/alien/Swift_3rdBATcatalog/event/batevent_reproc/trigger440635
======================================================================

  Trigger: 00440635      Segment: 000

  BAT Trigger Time: 314468880   [s; MET]
      Trigger Stop: 314468944   [s; MET]
               UTC: 2010-12-19T16:27:53.519740    [includes UTCF correction] 
       Where From?: TDRSS position message

  BAT 
    RA: 12.2568493213087   Dec: -34.5318517989712  [deg; J2000]

     Catalogged Source?: NO
     Point Source?:      YES
     GRB Indicated?:     YES    [ by BAT flight software ]
     Image S/N Ratio:    7.63
     Image Trigger?:     YES
     Rate S/N Ratio:     0  [ if not an image trigger ]
     Image S/N Ratio:    7.63

  Flight Position:   [ source = BAT ]
    RA: 12.2568493213087   Dec: -34.5318517989712  [deg; J2000]

  Ground Position:   [ source = BAT pre-slew burst ]
    RA: 12.2569   Dec: -34.5319  [deg; J2000]
        { 00h 49m 01.7s , -34d -31' -54.8" }
        +/- 2.19419636194 [arcmin] (estimated 90% radius based on SNR)
    SNR: 9.90008178779
 
 
  Angular difference between Flight and Ground position is 0.003826 arcmin
 
  Partial Coding Fraction: 0.07226562    [ including projection effects ]

  Duration
     T90: 41.8560000061989 +/- 5.83945205338767
        Measured from: 16.6800000071526
                   to: 58.5360000133514     [s; relative to TRIGTIME]
     T50: 24.6400000452995 +/- 9.94803782229103
        Measured from: 24.2319999933243
                   to: 48.8720000386238     [s; relative to TRIGTIME]



  Fluence
     Peak Flux  (peak 1 second)
        Measured from: 26.8360000252724     
                   to: 27.8360000252724     [s; relative to TRIGTIME]
     Total Fluence        
        Measured from: 12.0080000162125     
                   to: 61.160000026226     [s; relative to TRIGTIME]
     
             Band 1     Band 2     Band 3     Band 4
              15-25      25-50     50-100    100-350     keV
 Total     1.217397   1.583632   1.144422  -0.215488
           0.178188   0.197894   0.194966   0.221744 [error]
 Peak      0.013540   0.109930   0.098486   0.009064
           0.028143   0.027305   0.030633   0.032301 [error]

     [ fluence units of on-axis counts / fully illuminated detector ] 

======================================================================
 
=== Fluence/Peak Flux Summary ===
 
              Model    Band1    Band2    Band3    Band4    Band5    Total      
                       15-25    25-50   50-100  100-350   15-150   15-350   keV
Fluence   Power-law 4.60e-07 7.19e-07 8.45e-07 1.92e-06 2.58e-06 3.94e-06   erg/cm2
              Error 9.42e-08 1.01e-07 1.91e-07 8.73e-07 4.46e-07 1.07e-06   erg/cm2
Peak flux Power-law 6.35e-01 5.61e-01 3.40e-01 3.11e-01 1.67e+00 1.84e+00   ph/cm2/s
              Error 3.49e-01 2.34e-01 1.29e-01 1.73e-01 6.89e-01 7.07e-01   ph/cm2/s
 
Fluence   Cutoff-PL 4.21e-07 7.99e-07 8.30e-07 5.04e-07 2.37e-06 2.55e-06   erg/cm2
              Error 1.08e-07 1.40e-07 2.24e-07 -------- 4.93e-07 1.28e-06   erg/cm2
Peak flux Cutoff-PL 2.17e-01 8.07e-01 7.95e-01 1.09e-01 1.92e+00 1.93e+00   ph/cm2/s
              Error 2.76e-01 3.34e-01 3.21e-01 1.20e-01 6.64e-01 6.73e-01   ph/cm2/s
 
Fluence        Band -------- -------- -------- -------- -------- --------   erg/cm2
              Error -------- -------- -------- -------- -------- --------   erg/cm2
Peak flux      Band -------- -------- -------- -------- -------- --------   ph/cm2/s
              Error -------- -------- -------- -------- -------- --------   ph/cm2/s

 
=== Time-averaged spectral analysis ===
 
Model Ph_index Ph_90err Epeak  Epeak_90err Norm     Nomr_90err chi2   dof
PL    1.767    0.254    -      -           5.70e-03 9.47e-04   52.330 57
CPL   0.878    1.172      54.8  -19.6      1.80e-02 5.21e-02   50.270 56
 
 
=== 1-s peak spectral analysis ===
 
Model Ph_index Ph_90err Epeak  Epeak_90err Norm     Nomr_90err chi2   dof
PL    1.716    0.403    -      -           1.25e-02 4.68e-03   46.900 57
CPL  -2.697   -0.196      65.3   15.5      1.09e+00 2.80e+03   33.470 56
 
Model      : spectral model: simple power-law (PL) and cutoff power-law (CPL)
Ph_index   : photon index: E^-{Ph_index} (minus sign is not included in the index)
Ph_90err   : 90% error of the photon index
Epeak      : Epeak in keV
Epeak_90err: 90% error of Epeak
Norm       : normalization at 50 keV in PL model and at 1 keV in CPL model
Nomr_90err : 90% error of the normalization
chi2       : Chi-Squared
dof        : degree of freedom

 
=== T90/T50 calculation in the 50-300 keV band (BATSE band) using 64 ms lc ===
 
T90 in the 50-300 keV band: 0.000000 sec.
T50 in the 50-300 keV band: 0.000000 sec.

 
=== Table of the duration information ==
 
        Value   tstart    tstop
T100   49.152   12.008   61.160
T90    41.856   16.680   58.536
T50    24.640   24.232   48.872
Peak    1.000   26.836   27.836

Click here for the BAT GCN circular template

Special notes of this burst

Image

Pre-slew 15.0-50.0 keV image (Event data)

#RAcent DECcent POSerr Theta  Phi  Peak_Cts  SNR Name
12.257 -34.532 0.000 44.421 131.368 3.585 9.900 TRIG_00440635
 
Image time interval: 0.000 to 64.000 [sec]

Lightcurves

Notes:

1) The mask-weighted light curves are using the flight position.
2) Multiple plots of different time binning/intervals are shown to cover all scenarios of short/long GRBs, rate/image triggers, and real/false positives.
3) For all the mask-weighted lightcurves, the y-axis units are counts/sec/det where a det is 0.4 x 0.4 = 0.16 sq cm.
4) The verticle lines correspond to following: green dotted lines are T50 interval, black dotted lines are T90 interval, blue solid line(s) is a spacecraft slew start time, and orange solid line(s) is a spacecraft slew end time.
5) Time of each bin is in the middle of the bin.

1 s binning

From T0-310 s to T0+310 s

From T100_start - 20 s to T100_end + 30 s

Full time interval

64 ms binning

Full time interval

From T100_start to T100_end

From T0-5 sec to T0+5 sec

16 ms binning

From T100_start-5 s to T100_start+5 s

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

8 ms binning

From T100_start-3 s to T100_start+3 s

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

2 ms binning

From T100_start-1 s to T100_start+1 s

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

SN=5 or 10 sec. binning (whichever binning is satisfied first)

SN=5 or 10 sec. binning (T < 200 sec)

Quad-rate summed light curves (from T0-300s to T0+1000s)

The mask-weighted light curves based on cleaned DPHs

Spectral Evolution

Spectra

Notes:

1) The fitting includes the systematic errors.
2) When the burst includes telescope slew time periods, the fitting uses an average response file made from multiple 5-s response files through out the slew time plus single time preiod for the non-slew times, and weighted by the total counts in the corresponding time period using addrmf. An average response file is needed becuase a spectral fit using the pre-slew DRM will introduce some errors in both a spectral shape and a normalization if the PHA file contains a lot of the slew/post-slew time interval.
3) For fits to more complicated models (e.g. a power-law over a cutoff power-law), the BAT team has decided to require a chi-square improvement of more than 6 for each extra dof.

Time averaged spectrum fit using the average DRM

Power-law model

Time interval is from   12.008 sec. to   61.160 sec.
 
Spectral model in power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: 1.76692     ( -0.24674   0.261683 )
Norm@50keV  : 5.70431E-03    ( -0.000959538   0.000935433 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          52.33 using 59 PHA bins.
# Reduced chi-squared =         0.9180 for     57 degrees of freedom 
# Null hypothesis probability =   6.508069e-01
 
Photon flux (15-150 keV)    in 49.15 sec: 0.776188 ( -0.109252  0.109267 ) ph/cm2/s
Energy fluence (15-150 keV)             : 2.5847e-06 ( -4.39517e-07  4.52542e-07 ) ergs/cm2

Cutoff power-law model

Time interval is from   12.008 sec. to   61.160 sec.
Spectral model in the cutoff power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: 0.877752     ( -1.35218   0.991504 )
Epeak [keV] : 54.7666      ( -15.5493 -54.7667 )
Norm@50keV  : 1.80176E-02    ( -0.0180174   0.0861455 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.27 using 59 PHA bins.
# Reduced chi-squared =         0.8978 for     56 degrees of freedom 
# Null hypothesis probability =   6.904241e-01
 
Photon flux (15-150 keV)    in 49.15 sec: 0.750231 ( -0.112905  0.113263 ) ph/cm2/s
Energy fluence (15-150 keV)             : 2.36742e-06 ( -4.7098e-07  5.14414e-07 ) ergs/cm2

Band function

Time interval is from   12.008 sec. to   61.160 sec.
 
Spectral model in the Band function:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
alpha       : -0.877697   ( 1.09774   1.09774 )
beta        : -9.72049    ( 9.72049   19.7205 )
Epeak [keV] : 54.7558      ( -42.2699 -54.7558 )
Norm@50keV   : 1.80181E-02    ( -0.0180181   326.756 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.27 using 59 PHA bins.
# Reduced chi-squared =         0.9141 for     55 degrees of freedom 
# Null hypothesis probability =   6.554521e-01
 
Photon flux (15-150 keV)    in 49.15 sec:  (    ) ph/cm2/s
Energy fluence (15-150 keV)             : 0 ( 0  0 ) ergs/cm2

Single BB

 
Spectral model blackbody:
------------------------------------------------------------
Parameters  : value    Lower 90%  Upper 90%
kT [keV]    : 11.5117  (-1.82568  2.16506)
R^2/D10^2   : 0.221817  (-0.103682   0.194775)
(R is the radius in km and D10 is the distance to the source in units of 10 kpc)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          57.28 using 59 PHA bins.
# Reduced chi-squared =          1.005 for     57 degrees of freedom 
# Null hypothesis probability =   4.646055e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  3.042e-07   7.655e-08
25- 50  9.107e-07   1.863e-07
50-150  7.051e-07   2.126e-07
15-150  1.920e-06   3.829e-07

Thermal bremsstrahlung (OTTB)

 
 
Spectral model: thermal bremsstrahlung
------------------------------------------------------------
Parameters  : value         Lower 90%    Upper 90%
kT [keV]    : 99.3177       (-39.1671      -99.3177)
Norm        : 3.45670       (-0.604196     0.78083)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.64 using 59 PHA bins.
# Reduced chi-squared =         0.8885 for     57 degrees of freedom 
# Null hypothesis probability =   7.108627e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  4.441e-07   8.358e-08
25- 50  7.668e-07   1.573e-07
50-150  1.238e-06   7.439e-07
15-150  2.449e-06   9.395e-07

Double BB

 
 
Spectral model: bbodyrad<1> + bbodyrad<2>
------------------------------------------------------------
Parameters  : value         Lower 90%    Upper 90%
kT1 [keV]   : 5.77819        (-3.03282      3.87591)
R1^2/D10^2  : 1.52825        (-1.15048      27.7032)
kT2 [keV]   : 17.5778        (-5.52603      25.7785)
R2^2/D10^2  : 3.47196E-02    (-0.0318611   0.125289)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.18 using 59 PHA bins.
# Reduced chi-squared =         0.9123 for     55 degrees of freedom 
# Null hypothesis probability =   6.590729e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  4.214e-07   2.332e-07
25- 50  7.721e-07   4.023e-07
50-150  1.099e-06   6.441e-07
15-150  2.293e-06   1.229e-06

Peak spectrum fit

Power-law model

Time interval is from   26.836 sec. to   27.836 sec.
 
Spectral model in power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: 1.71650     ( -0.411717   0.394995 )
Norm@50keV  : 1.24509E-02    ( -0.00468114   0.00467152 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          46.90 using 59 PHA bins.
# Reduced chi-squared =         0.8229 for     57 degrees of freedom 
# Null hypothesis probability =   8.275773e-01
 
Photon flux (15-150 keV)    in 1 sec: 1.66843 ( -0.679108  0.698176 ) ph/cm2/s
Energy fluence (15-150 keV)             : 1.15171e-07 ( -4.29286e-08  4.2975e-08 ) ergs/cm2

Cutoff power-law model

Time interval is from   26.836 sec. to   27.836 sec.
Spectral model in the cutoff power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: -2.69721     ( 2.69921   2.30786 )
Epeak [keV] : 65.2884      ( -17.5683 13.5185 )
Norm@50keV  : 1.09481    ( -1.09597   5608.43 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          33.47 using 59 PHA bins.
# Reduced chi-squared =         0.5978 for     56 degrees of freedom 
# Null hypothesis probability =   9.927075e-01
 
Photon flux (15-150 keV)    in 1 sec: 1.91896 ( -0.684  0.64305 ) ph/cm2/s
Energy fluence (15-150 keV)             : 1.6144e-07 ( -6.90421e-08  5.1372e-08 ) ergs/cm2

Band function

Time interval is from   26.836 sec. to   27.836 sec.
 
Spectral model in the Band function:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
alpha       : 5.00000   ( -4.32787   -5 )
beta        : -3.61970    ( 3.61971   1.10389 )
Epeak [keV] : 54.6217      ( -11.8236 12.1656 )
Norm@50keV   : 19.8327    ( -5.63073   68.2809 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          32.87 using 59 PHA bins.
# Reduced chi-squared =         0.5976 for     55 degrees of freedom 
# Null hypothesis probability =   9.922596e-01
 
Photon flux (15-150 keV)    in 1 sec:  (    ) ph/cm2/s
Energy fluence (15-150 keV)             : 0 ( 0  0 ) ergs/cm2

Single BB

 
Spectral model blackbody:
------------------------------------------------------------
Parameters  : value    Lower 90%  Upper 90%
kT [keV]    : 17.1606  (-3.62551  3.53302)
R^2/D10^2   : 0.184955  (-0.100386   0.233703)
(R is the radius in km and D10 is the distance to the source in units of 10 kpc)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          34.15 using 59 PHA bins.
# Reduced chi-squared =         0.5991 for     57 degrees of freedom 
# Null hypothesis probability =   9.929590e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  1.106e-08   6.092e-09
25- 50  4.932e-08   2.323e-08
50-150  1.040e-07   5.236e-08
15-150  1.644e-07   6.886e-08

Thermal bremsstrahlung (OTTB)

 
 
Spectral model: thermal bremsstrahlung
------------------------------------------------------------
Parameters  : value         Lower 90%    Upper 90%
kT [keV]    : 127.833       (-59.8263      -122.973)
Norm        : 7.93276       (-3.22126     3.9663)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          43.69 using 59 PHA bins.
# Reduced chi-squared =         0.7665 for     57 degrees of freedom 
# Null hypothesis probability =   9.024526e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  2.060e-08   1.302e-08
25- 50  3.725e-08   2.268e-08
50-150  6.853e-08   4.705e-08
15-150  1.264e-07   8.405e-08

Double BB

 
 
Spectral model: bbodyrad<1> + bbodyrad<2>
------------------------------------------------------------
Parameters  : value         Lower 90%    Upper 90%
kT1 [keV]   : 3.59160E-02        (3.28998      -0.035916)
R1^2/D10^2  : 6.58535E+08        (-6.58535e+08      -6.58535e+08)
kT2 [keV]   : 17.1599        (-3.62478      3.53379)
R2^2/D10^2  : 0.184984    (-0.100416   0.233675)
------------------------------------------------------------
#Fit statistic : Chi-Squared =          34.15 using 59 PHA bins.
# Reduced chi-squared =         0.6209 for     55 degrees of freedom 
# Null hypothesis probability =   9.877630e-01
 
Energy  Fluence     90% Error
[keV]   [erg/cm2]   [erg/cm2]
15- 25  0.000e+00   0.000e+00
25- 50  0.000e+00   0.000e+00
50-150  0.000e+00   0.000e+00
15-150  0.000e+00   0.000e+00

Pre-slew spectrum (Pre-slew PHA with pre-slew DRM)

Power-law model

 
Spectral model in power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: 1.76692     ( -0.24674   0.261683 )
Norm@50keV  : 5.70431E-03    ( -0.000959538   0.000935433 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          52.33 using 59 PHA bins.
# Reduced chi-squared =         0.9180 for     57 degrees of freedom 
# Null hypothesis probability =   6.508069e-01
 
Photon flux (15-150 keV)    in 49.15 sec: 0.776188 ( -0.109252  0.109267 ) ph/cm2/s
Energy fluence (15-150 keV)             : 2.5847e-06 ( -4.39517e-07  4.52542e-07 ) ergs/cm2

Cutoff power-law model

Spectral model in the cutoff power-law:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
Photon index: 0.877752     ( -1.35218   0.991504 )
Epeak [keV] : 54.7666      ( -15.5493 -54.7667 )
Norm@50keV  : 1.80176E-02    ( -0.0180174   0.0861455 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.27 using 59 PHA bins.
# Reduced chi-squared =         0.8978 for     56 degrees of freedom 
# Null hypothesis probability =   6.904241e-01
 
Photon flux (15-150 keV)    in 49.15 sec: 0.750231 ( -0.112905  0.113263 ) ph/cm2/s
Energy fluence (15-150 keV)             : 2.36742e-06 ( -4.7098e-07  5.14414e-07 ) ergs/cm2

Band function

 
Spectral model in the Band function:
------------------------------------------------------------
Parameters  : value       lower 90%   higher 90%
alpha       : -0.877697   ( 1.09774   1.09774 )
beta        : -9.72049    ( 9.72049   19.7205 )
Epeak [keV] : 54.7558      ( -34.9253 -54.7558 )
Norm@50keV   : 1.80181E-02    ( -0.0180181   326.756 )
------------------------------------------------------------
#Fit statistic : Chi-Squared =          50.27 using 59 PHA bins.
# Reduced chi-squared =         0.9141 for     55 degrees of freedom 
# Null hypothesis probability =   6.554521e-01
 
Photon flux (15-150 keV)    in 49.15 sec:  (    ) ph/cm2/s
Energy fluence (15-150 keV)             : 0 ( 0  0 ) ergs/cm2

S(25-50 keV) vs. S(50-100 keV) plot

S(25-50 keV)  = 7.19e-07
S(50-100 keV) = 8.45e-07

T90 vs. Hardness ratio plot

T90                                   = 41.8560000061989 sec.
Hardness ratio (energy fluence ratio) = 1.17524

Color vs. Color plot

Count Ratio  (25-50 keV) / (15-25 keV) = 1.30083
Count Ratio (50-100 keV) / (15-25 keV) = 0.940057

Mask shadow pattern

IMX = -0.647677904434, IMY = -0.735470850714

TIME vs. PHA plot around the trigger time

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

TIME vs. DetID plot around the trigger time

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

100 us light curve (15-350 keV)

Blue+Cyan dotted lines: Time interval of the scaled map
From 0.000000 to 64.000000

Spacecraft aspect plot

Bright source in the pre-burst/pre-slew/post-slew images

Pre-burst image of 15-350 keV band

Time interval of the image:
-4.499400 12.008000
 
# RAcent  DECcent POSerr Theta    Phi  PeakCts   SNR AngSep     Name
#  [deg]    [deg]    ['] [deg]  [deg]                   [']
285.0623 -24.7992    5.9  35.5  -89.6   0.2372   2.0    7.4	HT1900.1-2455                 
288.8440  10.9759    2.5  47.1  -36.4   0.6050   4.6    3.3	GRS 1915+105

Pre-slew background subtracted image of 15-350 keV band

Time interval of the image:
12.008000 61.160000
 
# RAcent  DECcent POSerr Theta    Phi  PeakCts   SNR AngSep     Name
#  [deg]    [deg]    ['] [deg]  [deg]                   [']
285.1335 -24.8016    9.3  35.4  -89.6  -0.5033  -1.2    8.9	HT1900.1-2455                 
288.8685  10.9442    3.2  47.1  -36.5  -1.6012  -3.6    4.1	GRS 1915+105                  
344.6287  -5.2491    2.0  26.0   67.8   1.5233   5.6 ------	UNKNOWN                       
277.3681 -41.7394    2.5  43.6 -115.2   3.6041   4.7 ------	UNKNOWN

Post-slew image of 15-350 keV band

Time interval of the image:
135.500600 963.025200
 
# RAcent  DECcent POSerr Theta    Phi  PeakCts   SNR AngSep     Name
#  [deg]    [deg]    ['] [deg]  [deg]                   [']
 43.0397 -16.3316    3.0  33.0   92.0   5.2354   3.9 ------	UNKNOWN                       
341.2819 -46.8404    3.7  26.3  -99.7   2.4165   3.1 ------	UNKNOWN                       
333.8764  12.6124    2.6  59.5  -17.0  16.9561   4.4 ------	UNKNOWN                       
333.7024   4.1373    3.2  53.0  -23.5   6.4485   3.6 ------	UNKNOWN                       
324.0159  -7.1215    4.0  52.0  -42.2  10.9503   2.9 ------	UNKNOWN                       
319.9409 -44.9437    2.8  40.8  -93.4  13.4002   4.1 ------	UNKNOWN

Plot creation:
Thu Oct  8 20:25:46 EDT 2015