# combined fit to TA energy and Xmax data (from Douglas Bergman)
# best fit parameters:  gamma=2.0, Rcut=1514 EeV, assuming source evolution m=3
1.01e+06 6.20e-11
1.04e+06 6.31e-11
1.06e+06 6.47e-11
1.08e+06 6.59e-11
1.11e+06 6.69e-11
1.14e+06 6.85e-11
1.16e+06 6.93e-11
1.19e+06 7.10e-11
1.22e+06 7.27e-11
1.24e+06 7.43e-11
1.27e+06 7.53e-11
1.30e+06 7.71e-11
1.33e+06 7.88e-11
1.36e+06 8.00e-11
1.40e+06 8.16e-11
1.43e+06 8.36e-11
1.46e+06 8.49e-11
1.50e+06 8.66e-11
1.53e+06 8.83e-11
1.57e+06 9.01e-11
1.60e+06 9.12e-11
1.64e+06 9.37e-11
1.68e+06 9.52e-11
1.72e+06 9.71e-11
1.76e+06 9.94e-11
1.80e+06 1.01e-10
1.84e+06 1.03e-10
1.88e+06 1.05e-10
1.93e+06 1.06e-10
1.97e+06 1.09e-10
2.02e+06 1.10e-10
2.07e+06 1.12e-10
2.11e+06 1.15e-10
2.16e+06 1.16e-10
2.21e+06 1.19e-10
2.26e+06 1.20e-10
2.32e+06 1.22e-10
2.37e+06 1.24e-10
2.43e+06 1.26e-10
2.48e+06 1.29e-10
2.54e+06 1.30e-10
2.60e+06 1.33e-10
2.66e+06 1.34e-10
2.72e+06 1.37e-10
2.79e+06 1.39e-10
2.85e+06 1.41e-10
2.92e+06 1.43e-10
2.99e+06 1.45e-10
3.05e+06 1.48e-10
3.13e+06 1.49e-10
3.20e+06 1.52e-10
3.27e+06 1.54e-10
3.35e+06 1.56e-10
3.43e+06 1.58e-10
3.51e+06 1.60e-10
3.59e+06 1.62e-10
3.67e+06 1.64e-10
3.76e+06 1.67e-10
3.85e+06 1.69e-10
3.94e+06 1.71e-10
4.03e+06 1.73e-10
4.12e+06 1.75e-10
4.22e+06 1.77e-10
4.32e+06 1.79e-10
4.42e+06 1.82e-10
4.52e+06 1.83e-10
4.62e+06 1.86e-10
4.73e+06 1.87e-10
4.84e+06 1.89e-10
4.95e+06 1.90e-10
5.07e+06 1.93e-10
5.19e+06 1.95e-10
5.31e+06 1.97e-10
5.43e+06 1.98e-10
5.56e+06 2.01e-10
5.69e+06 2.02e-10
5.82e+06 2.04e-10
5.96e+06 2.07e-10
6.10e+06 2.08e-10
6.24e+06 2.10e-10
6.38e+06 2.12e-10
6.53e+06 2.14e-10
6.68e+06 2.16e-10
6.84e+06 2.18e-10
7.00e+06 2.18e-10
7.16e+06 2.20e-10
7.33e+06 2.21e-10
7.50e+06 2.23e-10
7.67e+06 2.25e-10
7.85e+06 2.26e-10
8.04e+06 2.29e-10
8.22e+06 2.30e-10
8.41e+06 2.31e-10
8.61e+06 2.34e-10
8.81e+06 2.34e-10
9.02e+06 2.36e-10
9.23e+06 2.38e-10
9.44e+06 2.39e-10
9.66e+06 2.41e-10
9.89e+06 2.42e-10
1.01e+07 2.43e-10
1.04e+07 2.45e-10
1.06e+07 2.47e-10
1.08e+07 2.48e-10
1.11e+07 2.48e-10
1.14e+07 2.51e-10
1.16e+07 2.53e-10
1.19e+07 2.54e-10
1.22e+07 2.55e-10
1.24e+07 2.57e-10
1.27e+07 2.58e-10
1.30e+07 2.60e-10
1.33e+07 2.63e-10
1.36e+07 2.63e-10
1.40e+07 2.65e-10
1.43e+07 2.67e-10
1.46e+07 2.70e-10
1.50e+07 2.70e-10
1.53e+07 2.73e-10
1.57e+07 2.75e-10
1.60e+07 2.76e-10
1.64e+07 2.78e-10
1.68e+07 2.81e-10
1.72e+07 2.83e-10
1.76e+07 2.85e-10
1.80e+07 2.88e-10
1.84e+07 2.89e-10
1.88e+07 2.92e-10
1.93e+07 2.95e-10
1.97e+07 2.99e-10
2.02e+07 3.01e-10
2.07e+07 3.04e-10
2.11e+07 3.08e-10
2.16e+07 3.10e-10
2.21e+07 3.15e-10
2.26e+07 3.18e-10
2.32e+07 3.23e-10
2.37e+07 3.26e-10
2.43e+07 3.31e-10
2.48e+07 3.36e-10
2.54e+07 3.41e-10
2.60e+07 3.46e-10
2.66e+07 3.51e-10
2.72e+07 3.57e-10
2.79e+07 3.63e-10
2.85e+07 3.70e-10
2.92e+07 3.75e-10
2.99e+07 3.82e-10
3.05e+07 3.90e-10
3.13e+07 3.98e-10
3.20e+07 4.06e-10
3.27e+07 4.15e-10
3.35e+07 4.23e-10
3.43e+07 4.32e-10
3.51e+07 4.41e-10
3.59e+07 4.52e-10
3.67e+07 4.61e-10
3.76e+07 4.74e-10
3.85e+07 4.84e-10
3.94e+07 4.97e-10
4.03e+07 5.10e-10
4.12e+07 5.22e-10
4.22e+07 5.36e-10
4.32e+07 5.51e-10
4.42e+07 5.65e-10
4.52e+07 5.82e-10
4.62e+07 5.97e-10
4.73e+07 6.15e-10
4.84e+07 6.33e-10
4.95e+07 6.51e-10
5.07e+07 6.71e-10
5.19e+07 6.91e-10
5.31e+07 7.12e-10
5.43e+07 7.34e-10
5.56e+07 7.56e-10
5.69e+07 7.80e-10
5.82e+07 8.05e-10
5.96e+07 8.30e-10
6.10e+07 8.57e-10
6.24e+07 8.84e-10
6.38e+07 9.13e-10
6.53e+07 9.43e-10
6.68e+07 9.74e-10
6.84e+07 1.01e-09
7.00e+07 1.04e-09
7.16e+07 1.07e-09
7.33e+07 1.11e-09
7.50e+07 1.15e-09
7.67e+07 1.19e-09
7.85e+07 1.23e-09
8.04e+07 1.27e-09
8.22e+07 1.31e-09
8.41e+07 1.36e-09
8.61e+07 1.40e-09
8.81e+07 1.45e-09
9.02e+07 1.50e-09
9.23e+07 1.55e-09
9.44e+07 1.60e-09
9.66e+07 1.65e-09
9.89e+07 1.71e-09
1.01e+08 1.77e-09
1.04e+08 1.83e-09
1.06e+08 1.89e-09
1.08e+08 1.95e-09
1.11e+08 2.02e-09
1.14e+08 2.08e-09
1.16e+08 2.15e-09
1.19e+08 2.22e-09
1.22e+08 2.29e-09
1.24e+08 2.37e-09
1.27e+08 2.45e-09
1.30e+08 2.53e-09
1.33e+08 2.60e-09
1.36e+08 2.69e-09
1.40e+08 2.77e-09
1.43e+08 2.86e-09
1.46e+08 2.95e-09
1.50e+08 3.05e-09
1.53e+08 3.14e-09
1.57e+08 3.23e-09
1.60e+08 3.33e-09
1.64e+08 3.43e-09
1.68e+08 3.54e-09
1.72e+08 3.64e-09
1.76e+08 3.75e-09
1.80e+08 3.86e-09
1.84e+08 3.97e-09
1.88e+08 4.09e-09
1.93e+08 4.20e-09
1.97e+08 4.32e-09
2.02e+08 4.44e-09
2.07e+08 4.57e-09
2.11e+08 4.69e-09
2.16e+08 4.82e-09
2.21e+08 4.95e-09
2.26e+08 5.08e-09
2.32e+08 5.22e-09
2.37e+08 5.35e-09
2.43e+08 5.49e-09
2.48e+08 5.63e-09
2.54e+08 5.77e-09
2.60e+08 5.92e-09
2.66e+08 6.06e-09
2.72e+08 6.21e-09
2.79e+08 6.36e-09
2.85e+08 6.52e-09
2.92e+08 6.67e-09
2.99e+08 6.83e-09
3.05e+08 6.98e-09
3.13e+08 7.14e-09
3.20e+08 7.31e-09
3.27e+08 7.47e-09
3.35e+08 7.63e-09
3.43e+08 7.80e-09
3.51e+08 7.97e-09
3.59e+08 8.14e-09
3.67e+08 8.30e-09
3.76e+08 8.47e-09
3.85e+08 8.64e-09
3.94e+08 8.82e-09
4.03e+08 8.99e-09
4.12e+08 9.16e-09
4.22e+08 9.35e-09
4.32e+08 9.52e-09
4.42e+08 9.69e-09
4.52e+08 9.87e-09
4.62e+08 1.00e-08
4.73e+08 1.02e-08
4.84e+08 1.04e-08
4.95e+08 1.06e-08
5.07e+08 1.08e-08
5.19e+08 1.09e-08
5.31e+08 1.11e-08
5.43e+08 1.13e-08
5.56e+08 1.15e-08
5.69e+08 1.16e-08
5.82e+08 1.18e-08
5.96e+08 1.20e-08
6.10e+08 1.22e-08
6.24e+08 1.23e-08
6.38e+08 1.25e-08
6.53e+08 1.27e-08
6.68e+08 1.29e-08
6.84e+08 1.30e-08
7.00e+08 1.32e-08
7.16e+08 1.34e-08
7.33e+08 1.35e-08
7.50e+08 1.37e-08
7.67e+08 1.39e-08
7.85e+08 1.40e-08
8.04e+08 1.42e-08
8.22e+08 1.43e-08
8.41e+08 1.45e-08
8.61e+08 1.46e-08
8.81e+08 1.48e-08
9.02e+08 1.50e-08
9.23e+08 1.51e-08
9.44e+08 1.52e-08
9.66e+08 1.54e-08
9.89e+08 1.55e-08
1.01e+09 1.57e-08
1.04e+09 1.58e-08
1.06e+09 1.59e-08
1.08e+09 1.60e-08
1.11e+09 1.62e-08
1.14e+09 1.63e-08
1.16e+09 1.64e-08
1.19e+09 1.65e-08
1.22e+09 1.66e-08
1.24e+09 1.67e-08
1.27e+09 1.68e-08
1.30e+09 1.70e-08
1.33e+09 1.71e-08
1.36e+09 1.71e-08
1.40e+09 1.73e-08
1.43e+09 1.73e-08
1.46e+09 1.74e-08
1.50e+09 1.75e-08
1.53e+09 1.76e-08
1.57e+09 1.77e-08
1.60e+09 1.77e-08
1.64e+09 1.78e-08
1.68e+09 1.79e-08
1.72e+09 1.79e-08
1.76e+09 1.80e-08
1.80e+09 1.80e-08
1.84e+09 1.81e-08
1.88e+09 1.81e-08
1.93e+09 1.82e-08
1.97e+09 1.82e-08
2.02e+09 1.82e-08
2.07e+09 1.83e-08
2.11e+09 1.83e-08
2.16e+09 1.83e-08
2.21e+09 1.83e-08
2.26e+09 1.83e-08
2.32e+09 1.83e-08
2.37e+09 1.84e-08
2.43e+09 1.83e-08
2.48e+09 1.84e-08
2.54e+09 1.83e-08
2.60e+09 1.83e-08
2.66e+09 1.83e-08
2.72e+09 1.83e-08
2.79e+09 1.83e-08
2.85e+09 1.83e-08
2.92e+09 1.82e-08
2.99e+09 1.82e-08
3.05e+09 1.82e-08
3.13e+09 1.81e-08
3.20e+09 1.81e-08
3.27e+09 1.80e-08
3.35e+09 1.80e-08
3.43e+09 1.79e-08
3.51e+09 1.79e-08
3.59e+09 1.78e-08
3.67e+09 1.78e-08
3.76e+09 1.77e-08
3.85e+09 1.76e-08
3.94e+09 1.75e-08
4.03e+09 1.74e-08
4.12e+09 1.74e-08
4.22e+09 1.73e-08
4.32e+09 1.72e-08
4.42e+09 1.71e-08
4.52e+09 1.70e-08
4.62e+09 1.69e-08
4.73e+09 1.68e-08
4.84e+09 1.67e-08
4.95e+09 1.66e-08
5.07e+09 1.65e-08
5.19e+09 1.64e-08
5.31e+09 1.63e-08
5.43e+09 1.62e-08
5.56e+09 1.61e-08
5.69e+09 1.59e-08
5.82e+09 1.58e-08
5.96e+09 1.57e-08
6.10e+09 1.56e-08
6.24e+09 1.54e-08
6.38e+09 1.53e-08
6.53e+09 1.52e-08
6.68e+09 1.50e-08
6.84e+09 1.49e-08
7.00e+09 1.47e-08
7.16e+09 1.46e-08
7.33e+09 1.45e-08
7.50e+09 1.43e-08
7.67e+09 1.42e-08
7.85e+09 1.40e-08
8.04e+09 1.39e-08
8.22e+09 1.37e-08
8.41e+09 1.36e-08
8.61e+09 1.34e-08
8.81e+09 1.33e-08
9.02e+09 1.31e-08
9.23e+09 1.30e-08
9.44e+09 1.28e-08
9.66e+09 1.27e-08
9.89e+09 1.25e-08
1.01e+10 1.24e-08
1.04e+10 1.22e-08
1.06e+10 1.20e-08
1.08e+10 1.19e-08
1.11e+10 1.17e-08
1.14e+10 1.15e-08
1.16e+10 1.14e-08
1.19e+10 1.12e-08
1.22e+10 1.11e-08
1.24e+10 1.09e-08
1.27e+10 1.07e-08
1.30e+10 1.06e-08
1.33e+10 1.04e-08
1.36e+10 1.03e-08
1.40e+10 1.01e-08
1.43e+10 9.92e-09
1.46e+10 9.75e-09
1.50e+10 9.58e-09
1.53e+10 9.42e-09
1.57e+10 9.27e-09
1.60e+10 9.09e-09
1.64e+10 8.93e-09
1.68e+10 8.77e-09
1.72e+10 8.60e-09
1.76e+10 8.44e-09
1.80e+10 8.28e-09
1.84e+10 8.12e-09
1.88e+10 7.96e-09
1.93e+10 7.80e-09
1.97e+10 7.65e-09
2.02e+10 7.49e-09
2.07e+10 7.34e-09
2.11e+10 7.17e-09
2.16e+10 7.01e-09
2.21e+10 6.86e-09
2.26e+10 6.71e-09
2.32e+10 6.55e-09
2.37e+10 6.39e-09
2.43e+10 6.25e-09
2.48e+10 6.09e-09
2.54e+10 5.95e-09
2.60e+10 5.79e-09
2.66e+10 5.65e-09
2.72e+10 5.50e-09
2.79e+10 5.36e-09
2.85e+10 5.21e-09
2.92e+10 5.08e-09
2.99e+10 4.92e-09
3.05e+10 4.79e-09
3.13e+10 4.66e-09
3.20e+10 4.52e-09
3.27e+10 4.39e-09
3.35e+10 4.26e-09
3.43e+10 4.12e-09
3.51e+10 3.99e-09
3.59e+10 3.87e-09
3.67e+10 3.73e-09
3.76e+10 3.61e-09
3.85e+10 3.49e-09
3.94e+10 3.38e-09
4.03e+10 3.26e-09
4.12e+10 3.14e-09
4.22e+10 3.03e-09
4.32e+10 2.91e-09
4.42e+10 2.81e-09
4.52e+10 2.70e-09
4.62e+10 2.59e-09
4.73e+10 2.50e-09
4.84e+10 2.40e-09
4.95e+10 2.29e-09
5.07e+10 2.19e-09
5.19e+10 2.11e-09
5.31e+10 2.02e-09
5.43e+10 1.92e-09
5.56e+10 1.84e-09
5.69e+10 1.75e-09
5.82e+10 1.67e-09
5.96e+10 1.59e-09
6.10e+10 1.52e-09
6.24e+10 1.44e-09
6.38e+10 1.37e-09
6.53e+10 1.30e-09
6.68e+10 1.24e-09
6.84e+10 1.17e-09
7.00e+10 1.11e-09
7.16e+10 1.05e-09
7.33e+10 9.84e-10
7.50e+10 9.33e-10
7.67e+10 8.73e-10
7.85e+10 8.30e-10
8.04e+10 7.81e-10
8.22e+10 7.36e-10
8.41e+10 6.90e-10
8.61e+10 6.45e-10
8.81e+10 6.07e-10
9.02e+10 5.68e-10
9.23e+10 5.31e-10
9.44e+10 4.96e-10
9.66e+10 4.60e-10
9.89e+10 4.30e-10
1.01e+11 4.03e-10
1.04e+11 3.69e-10
1.06e+11 3.46e-10
1.08e+11 3.19e-10
1.11e+11 2.92e-10
1.14e+11 2.74e-10
1.16e+11 2.51e-10
1.19e+11 2.31e-10
1.22e+11 2.15e-10
1.24e+11 1.96e-10
1.27e+11 1.79e-10
1.30e+11 1.64e-10
1.33e+11 1.47e-10
1.36e+11 1.37e-10
1.40e+11 1.23e-10
1.43e+11 1.12e-10
1.46e+11 1.02e-10
1.50e+11 9.26e-11
1.53e+11 8.54e-11
1.57e+11 7.61e-11
1.60e+11 6.92e-11
1.64e+11 6.21e-11
1.68e+11 5.43e-11
1.72e+11 4.91e-11
1.76e+11 4.43e-11
1.80e+11 4.06e-11
1.84e+11 3.51e-11
1.88e+11 3.15e-11
1.93e+11 2.85e-11
1.97e+11 2.49e-11
2.02e+11 2.18e-11
2.07e+11 1.87e-11
2.11e+11 1.71e-11
2.16e+11 1.41e-11
2.21e+11 1.27e-11
2.26e+11 1.10e-11
2.32e+11 1.00e-11
2.37e+11 8.33e-12
2.43e+11 7.19e-12
2.48e+11 5.91e-12
2.54e+11 4.90e-12
2.60e+11 4.34e-12
2.66e+11 3.70e-12
2.72e+11 3.04e-12
2.79e+11 2.56e-12
2.85e+11 2.15e-12
2.92e+11 1.96e-12
2.99e+11 1.52e-12
3.05e+11 1.12e-12
3.13e+11 1.06e-12
3.20e+11 7.07e-13
3.27e+11 6.21e-13
3.35e+11 4.58e-13
3.43e+11 3.94e-13
3.51e+11 2.40e-13
3.59e+11 1.98e-13
3.67e+11 1.64e-13
3.76e+11 1.42e-13
3.85e+11 1.02e-13
3.94e+11 4.60e-14
4.03e+11 3.88e-14
4.12e+11 3.36e-14
4.22e+11 2.26e-14
4.32e+11 1.81e-14
4.42e+11 9.86e-15
4.52e+11 5.33e-15
4.62e+11 7.07e-16
4.73e+11 3.27e-15
4.84e+11 4.38e-16
4.95e+11 1.66e-16
5.07e+11 0.00e+00
5.19e+11 0.00e+00
5.31e+11 0.00e+00
5.43e+11 0.00e+00
5.56e+11 0.00e+00
5.69e+11 0.00e+00
5.82e+11 0.00e+00
5.96e+11 0.00e+00
6.10e+11 0.00e+00
6.24e+11 0.00e+00
6.38e+11 0.00e+00
6.53e+11 0.00e+00
6.68e+11 0.00e+00
6.84e+11 0.00e+00
7.00e+11 0.00e+00
7.16e+11 0.00e+00
7.33e+11 0.00e+00
7.50e+11 0.00e+00
7.67e+11 0.00e+00
7.85e+11 0.00e+00
8.04e+11 0.00e+00
8.22e+11 0.00e+00
8.41e+11 0.00e+00
8.61e+11 0.00e+00
8.81e+11 0.00e+00
9.02e+11 0.00e+00
9.23e+11 0.00e+00
9.44e+11 0.00e+00
9.66e+11 0.00e+00
9.89e+11 0.00e+00
1.01e+12 0.00e+00
1.04e+12 0.00e+00
1.06e+12 0.00e+00
1.08e+12 0.00e+00
1.11e+12 0.00e+00
1.14e+12 0.00e+00
1.16e+12 0.00e+00
1.19e+12 0.00e+00
1.22e+12 0.00e+00
1.24e+12 0.00e+00
1.27e+12 0.00e+00
1.30e+12 0.00e+00
1.33e+12 0.00e+00
1.36e+12 0.00e+00
1.40e+12 0.00e+00
1.43e+12 0.00e+00
1.46e+12 0.00e+00
1.50e+12 0.00e+00
1.53e+12 0.00e+00
1.57e+12 0.00e+00
1.60e+12 0.00e+00
1.64e+12 0.00e+00
1.68e+12 0.00e+00
1.72e+12 0.00e+00
1.76e+12 0.00e+00
1.80e+12 0.00e+00
1.84e+12 0.00e+00
1.88e+12 0.00e+00
1.93e+12 0.00e+00
1.97e+12 0.00e+00
2.02e+12 0.00e+00
2.07e+12 0.00e+00
2.11e+12 0.00e+00
2.16e+12 0.00e+00
2.21e+12 0.00e+00
2.26e+12 0.00e+00
2.32e+12 0.00e+00
2.37e+12 0.00e+00
2.43e+12 0.00e+00
2.48e+12 0.00e+00
2.54e+12 0.00e+00
2.60e+12 0.00e+00
2.66e+12 0.00e+00
2.72e+12 0.00e+00
2.79e+12 0.00e+00
2.85e+12 0.00e+00
2.92e+12 0.00e+00
2.99e+12 0.00e+00
3.05e+12 0.00e+00
3.13e+12 0.00e+00
