#
# This document gives the data used to make figure 3 in the accompanying paper in
# LIGO Document P1200006.
#
# This plot shows an example of the space angle distribution (in degrees) with the associated fit to equation (2) 
# of the paper obtained with a sample of Monte-Carlo HEN events, for a given declination and a given number of hits.
# This space angle is the angular error between the reconstructed muon track and the Monte-Carlo neutrino arrival direction.
# The distribution is normalsed to 1.
# 
# The fit is a log-normal distribution : A3*exp(-log((x-A0)/A1)^2/(2*A2*A2))/((x-A0)*A2)
# with, for this particular example, 
# A0 = 1.817546e-08
# A1 = 2.321738
# A2 = 1.241354
# A3 = 0.03963272
# 
# The arrows in Figure 3 show the 50% q50 and 90% q90 quantiles of the distribution, in degrees.
# For this example, q50 = 2.801795 degrees and q90 = 11.86643 degrees.
#
# For questions regarding the use of this material, please contact the LSC
# spokesperson Gaby Gonzalez (gonzalez@lsu.edu) or the Virgo
# spokesperson Jean-Yves Vinet (vinet@oca.eu) or the corresponding author
# Irene Di Palma (Irene.DiPalma@aei.mpg.de) for LVC/Virgo, or
# the Antares spokesperson Paschal Coyle (coyle@cppm.in2p3.fr) or
# the corresponding author Thierry Pradier (pradier@in2p3.fr) for Antares
#
#
# The first column is the space angle bin (degrees), the second column its content, and the third column its error

0.050000 0.006934 0.001881
0.150000 0.016655 0.002989
0.250000 0.016672 0.003168
0.350000 0.026829 0.003770
0.450000 0.031316 0.004485
0.550000 0.030524 0.004164
0.650000 0.036938 0.004870
0.750000 0.026936 0.003862
0.850000 0.032896 0.004463
0.950000 0.028514 0.003928
1.050000 0.027772 0.004076
1.150000 0.028318 0.003955
1.250000 0.021824 0.003461
1.350000 0.016430 0.002832
1.450000 0.018583 0.003128
1.550000 0.020349 0.003390
1.650000 0.019530 0.003121
1.750000 0.022281 0.003510
1.850000 0.017750 0.003148
1.950000 0.015325 0.003051
2.050000 0.019359 0.003008
2.150000 0.011636 0.002387
2.250000 0.016174 0.003238
2.350000 0.012546 0.002336
2.450000 0.012692 0.002716
2.550000 0.013723 0.002731
2.650000 0.009489 0.002218
2.750000 0.009946 0.002301
2.850000 0.008937 0.001916
2.950000 0.004862 0.001407
3.050000 0.015849 0.002962
3.150000 0.010002 0.002585
3.250000 0.010526 0.002504
3.350000 0.005951 0.002017
3.450000 0.004641 0.001465
3.550000 0.009830 0.002366
3.650000 0.008102 0.002201
3.750000 0.005343 0.001575
3.850000 0.005333 0.001971
3.950000 0.008962 0.001975
4.050000 0.006912 0.001960
4.150000 0.006201 0.001828
4.250000 0.006115 0.001878
4.350000 0.001708 0.000666
4.450000 0.004165 0.001750
4.550000 0.003934 0.001659
4.650000 0.006284 0.001726
4.750000 0.006096 0.001752
4.850000 0.006529 0.001836
4.950000 0.005561 0.001955
5.050000 0.007824 0.002109
5.150000 0.005965 0.002009
5.250000 0.002443 0.001028
5.350000 0.003465 0.001445
5.450000 0.006115 0.001882
5.550000 0.004241 0.001653
5.650000 0.003438 0.001273
5.750000 0.003708 0.001603
5.850000 0.004211 0.001304
5.950000 0.002052 0.001051
6.050000 0.002724 0.001078
6.150000 0.004868 0.001710
6.250000 0.003048 0.001207
6.350000 0.002768 0.001146
6.450000 0.003466 0.001417
6.550000 0.003278 0.001249
6.650000 0.003661 0.001374
6.750000 0.004582 0.001759
6.850000 0.001736 0.000862
6.950000 0.002286 0.001075
7.050000 0.007676 0.002041
7.150000 0.002502 0.001066
7.250000 0.002898 0.001070
7.350000 0.000841 0.000497
7.450000 0.001835 0.001156
7.550000 0.002265 0.001163
7.650000 0.002383 0.001161
7.750000 0.001574 0.000800
7.850000 0.002930 0.001240
7.950000 0.003467 0.001389
8.050000 0.003783 0.001543
8.150000 0.001344 0.000701
8.250000 0.003738 0.001448
8.350000 0.002167 0.001177
8.450000 0.003091 0.001215
8.550000 0.001261 0.000645
8.650000 0.003524 0.001514
8.750000 0.003006 0.001298
8.850000 0.003053 0.001324
8.950000 0.003591 0.001536
9.050000 0.000968 0.000514
9.150000 0.004330 0.001716
9.250000 0.001011 0.000716
9.350000 0.003136 0.001208
9.450000 0.000399 0.000399
9.550000 0.001870 0.000873
9.650000 0.001046 0.000718
9.750000 0.002450 0.001262
9.850000 0.002159 0.001279
9.950000 0.001849 0.001127
10.050000 0.000170 0.000170
10.150000 0.002153 0.001285
10.250000 0.002309 0.001180
10.350000 0.001522 0.000859
10.450000 0.001298 0.000669
10.550000 0.002096 0.001324
10.650000 0.002540 0.001189
10.750000 0.000961 0.000690
10.850000 0.000166 0.000166
10.950000 0.001281 0.000698
11.050000 0.000901 0.000639
11.150000 0.004628 0.001962
11.250000 0.001190 0.000845
11.350000 0.001409 0.000794
11.450000 0.001801 0.001062
11.550000 0.000288 0.000285
11.650000 0.000811 0.000487
11.750000 0.001129 0.000814
11.850000 0.001900 0.000786
11.950000 0.003638 0.001442
12.050000 0.002769 0.001198
12.150000 0.001684 0.000983
12.250000 0.000763 0.000547
12.350000 0.000669 0.000563
12.450000 0.002053 0.001354
12.550000 0.001037 0.000739
12.650000 0.000762 0.000539
12.750000 0.001211 0.000860
12.850000 0.001149 0.001149
12.950000 0.000489 0.000489
13.050000 0.001359 0.000866
13.150000 0.001467 0.000891
13.250000 0.000856 0.000609
13.350000 0.000795 0.000591
13.450000 0.001028 0.000595
13.550000 0.001961 0.001079
13.650000 0.001408 0.000739
13.750000 0.000262 0.000262
13.850000 0.000479 0.000300
13.950000 0.000329 0.000329
14.050000 0.000596 0.000596
14.150000 0.000554 0.000554
14.250000 0.001611 0.001194
14.350000 0.000543 0.000543
14.450000 0.000365 0.000365
14.550000 0.001609 0.000988
14.650000 0.000545 0.000545
14.750000 0.001763 0.001343
14.850000 0.000790 0.000604
14.950000 0.002648 0.001144
15.050000 0.000000 0.000000
15.150000 0.000000 0.000000
15.250000 0.001416 0.000789