In [1]:
% matplotlib inline
from __future__ import (division, 
                        print_function)

import os
import sys
import copy
import fnmatch
import warnings
import collections

import numpy as np
import scipy
try:
    from scipy.stats import scoreatpercentile
except:
    scoreatpercentile = False
from scipy.interpolate import interp1d
import cPickle as pickle

# Astropy
from astropy.io import fits
from astropy    import units as u
from astropy.stats import sigma_clip
from astropy.table import Table, Column
from astropy.utils.console import ProgressBar

Read in the FITS tables for the median profiles


In [5]:
ls profiles/*.fits


profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin0.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin1.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin2.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnA.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnB.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnC.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotA.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotB.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotC.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_zbin1.fits*
profiles/dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_zbin2.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin0.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin1.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin2.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin3.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnA.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnB.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnC.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotA.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotB.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotC.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_zbin1.fits*
profiles/dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_zbin2.fits*
profiles/hscMassive_mbin0.fits*
profiles/hscMassive_mbin1.fits*
profiles/hscMassive_mbin2.fits*

In [6]:
dirProf = 'profiles'

rMbin0 = Table.read(os.path.join(dirProf, 'dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin1.fits'))
rMbin1 = Table.read(os.path.join(dirProf, 'dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin2.fits'))
rMbin2 = Table.read(os.path.join(dirProf, 'dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin3.fits'))

rM100C = Table.read(os.path.join(dirProf, 'dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotC.fits'))
rM10C = Table.read(os.path.join(dirProf, 'dr1_redbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnC.fits'))

nMbin0 = Table.read(os.path.join(dirProf, 'dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin0.fits'))
nMbin1 = Table.read(os.path.join(dirProf, 'dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin1.fits'))
nMbin2 = Table.read(os.path.join(dirProf, 'dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mbin2.fits'))

nM100C = Table.read(os.path.join(dirProf, 'dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_mtotC.fits'))
nM10C = Table.read(os.path.join(dirProf, 'dr1_nonbcg_isedfit_mass_fsps1_sbpsum_imgsub_use_minnC.fits'))

hMbin0 = Table.read(os.path.join(dirProf, 'hscMassive_mbin0.fits'))
hMbin1 = Table.read(os.path.join(dirProf, 'hscMassive_mbin1.fits'))
hMbin2 = Table.read(os.path.join(dirProf, 'hscMassive_mbin2.fits'))

In [7]:
rCol = rMbin0['rkpc'] ** 4.0

In [9]:
hMbin0.colnames


Out[9]:
['rkpc',
 'medProfLow',
 'medProfUpp',
 'medProf',
 'avgProfLow',
 'avgProfUpp',
 'avgProf',
 'stdProf']

Formatting the output string


In [10]:
format1 = "%4.1f & $%5.2f\substack{+%4.2f \\\\ -%4.2f}$ &"
format2 = "$%5.2f\substack{+%4.2f \\\\ -%4.2f}$ &"
format3 = "$%5.2f\substack{+%4.2f \\\\ -%4.2f}$ \\\\"

In [12]:
lastM = 0.0
lastR = 0.0

for ii, rr in enumerate(rCol):
    # redbcg Mbin0
    col2 = hMbin0[ii]['avgProf']
    col2p = (hMbin0[ii]['avgProfUpp'] - hMbin0[ii]['avgProf'])
    col2m = (hMbin0[ii]['avgProf'] - hMbin0[ii]['avgProfLow'])
    # redbcg Mbin1
    col3 = hMbin1[ii]['avgProf']
    col3p = (hMbin1[ii]['avgProfUpp'] - hMbin1[ii]['avgProf'])
    col3m = (hMbin1[ii]['avgProf'] - hMbin1[ii]['avgProfLow'])
    # redbcg Mbin2
    col4 = hMbin2[ii]['avgProf']
    col4p = (hMbin2[ii]['avgProfUpp'] - hMbin2[ii]['avgProf'])
    col4m = (hMbin2[ii]['avgProf'] - hMbin2[ii]['avgProfLow'])
    
    # redbcgM100 matched 
    col5 = rM100C[ii]['avgProf']
    col5p = (rM100C[ii]['avgProfUpp'] - rM100C[ii]['avgProf'])
    col5m = (rM100C[ii]['avgProf'] - rM100C[ii]['avgProfLow'])
    # nonbcgM100 matched 
    col6 = nM100C[ii]['avgProf']
    col6p = (nM100C[ii]['avgProfUpp'] - nM100C[ii]['avgProf'])
    col6m = (nM100C[ii]['avgProf'] - nM100C[ii]['avgProfLow'])
    
    # redbcgM10 matched
    col7 = rM10C[ii]['avgProf']
    col7p = (rM10C[ii]['avgProfUpp'] - rM10C[ii]['avgProf'])
    col7m = (rM10C[ii]['avgProf'] - rM10C[ii]['avgProfLow'])
    # redbcgM10 matched
    col8 = nM10C[ii]['avgProf']
    col8p = (nM10C[ii]['avgProfUpp'] - nM10C[ii]['avgProf'])
    col8m = (nM10C[ii]['avgProf'] - nM10C[ii]['avgProfLow'])
    
    if (ii == 0) or ((rr <= 5.0) and 
                     ((rr - lastR) >= 0.3) and 
                     (np.abs(col5 - lastM) > 0.03)) or ((rr <= 20.0) and 
                     ((rr - lastR) >= 1.3) and 
                     (np.abs(col5 - lastM) > 0.05)) or ((rr < 150.0) and 
                     ((rr - lastR) >= 3.5) and 
                     (np.abs(col5 - lastM) > 0.06)):
        string1 = format1 % (rr, col2, col2p, col2m)
        string2 = format2 %(col3, col3p, col3m)
        string3 = format2 %(col4, col4p, col4m)
        string4 = format2 %(col5, col5p, col5m)
        string5 = format2 %(col6, col6p, col6m)
        string6 = format2 %(col7, col7p, col7m)
        string7 = format3 %(col8, col7p, col7m)
        print(string1 + string2 + string3 + string4 + string5 + string6 + string7)
                     
        lastM = col5
        lastR = rr


 0.0 & $ 9.23\substack{+0.00 \\ -0.00}$ &$ 9.31\substack{+0.00 \\ -0.01}$ &$ 9.32\substack{+0.01 \\ -0.01}$ &$ 9.31\substack{+0.02 \\ -0.02}$ &$ 9.34\substack{+0.01 \\ -0.01}$ &$ 9.31\substack{+0.02 \\ -0.02}$ &$ 9.34\substack{+0.02 \\ -0.02}$ \\
 0.6 & $ 9.20\substack{+0.00 \\ -0.00}$ &$ 9.28\substack{+0.00 \\ -0.01}$ &$ 9.29\substack{+0.01 \\ -0.01}$ &$ 9.27\substack{+0.02 \\ -0.02}$ &$ 9.31\substack{+0.01 \\ -0.01}$ &$ 9.28\substack{+0.02 \\ -0.02}$ &$ 9.31\substack{+0.02 \\ -0.02}$ \\
 1.0 & $ 9.16\substack{+0.00 \\ -0.00}$ &$ 9.24\substack{+0.00 \\ -0.00}$ &$ 9.26\substack{+0.01 \\ -0.01}$ &$ 9.24\substack{+0.02 \\ -0.02}$ &$ 9.27\substack{+0.01 \\ -0.01}$ &$ 9.25\substack{+0.02 \\ -0.02}$ &$ 9.27\substack{+0.02 \\ -0.02}$ \\
 1.4 & $ 9.12\substack{+0.00 \\ -0.00}$ &$ 9.20\substack{+0.00 \\ -0.00}$ &$ 9.23\substack{+0.01 \\ -0.01}$ &$ 9.20\substack{+0.02 \\ -0.02}$ &$ 9.23\substack{+0.01 \\ -0.01}$ &$ 9.21\substack{+0.02 \\ -0.01}$ &$ 9.23\substack{+0.02 \\ -0.01}$ \\
 1.7 & $ 9.06\substack{+0.00 \\ -0.00}$ &$ 9.15\substack{+0.00 \\ -0.00}$ &$ 9.19\substack{+0.01 \\ -0.01}$ &$ 9.15\substack{+0.02 \\ -0.02}$ &$ 9.19\substack{+0.01 \\ -0.01}$ &$ 9.16\substack{+0.01 \\ -0.01}$ &$ 9.18\substack{+0.01 \\ -0.01}$ \\
 2.0 & $ 9.00\substack{+0.00 \\ -0.00}$ &$ 9.10\substack{+0.00 \\ -0.00}$ &$ 9.15\substack{+0.01 \\ -0.01}$ &$ 9.09\substack{+0.01 \\ -0.02}$ &$ 9.13\substack{+0.01 \\ -0.01}$ &$ 9.11\substack{+0.01 \\ -0.01}$ &$ 9.12\substack{+0.01 \\ -0.01}$ \\
 2.4 & $ 8.93\substack{+0.00 \\ -0.00}$ &$ 9.03\substack{+0.00 \\ -0.00}$ &$ 9.09\substack{+0.01 \\ -0.01}$ &$ 9.03\substack{+0.02 \\ -0.02}$ &$ 9.07\substack{+0.01 \\ -0.01}$ &$ 9.05\substack{+0.01 \\ -0.01}$ &$ 9.05\substack{+0.01 \\ -0.01}$ \\
 2.7 & $ 8.87\substack{+0.00 \\ -0.00}$ &$ 8.97\substack{+0.00 \\ -0.00}$ &$ 9.04\substack{+0.01 \\ -0.01}$ &$ 8.97\substack{+0.01 \\ -0.01}$ &$ 9.01\substack{+0.01 \\ -0.01}$ &$ 9.00\substack{+0.01 \\ -0.01}$ &$ 8.99\substack{+0.01 \\ -0.01}$ \\
 3.0 & $ 8.80\substack{+0.00 \\ -0.00}$ &$ 8.90\substack{+0.00 \\ -0.00}$ &$ 8.98\substack{+0.01 \\ -0.01}$ &$ 8.90\substack{+0.01 \\ -0.01}$ &$ 8.95\substack{+0.01 \\ -0.01}$ &$ 8.93\substack{+0.01 \\ -0.01}$ &$ 8.92\substack{+0.01 \\ -0.01}$ \\
 3.4 & $ 8.72\substack{+0.00 \\ -0.00}$ &$ 8.83\substack{+0.00 \\ -0.00}$ &$ 8.92\substack{+0.01 \\ -0.01}$ &$ 8.83\substack{+0.01 \\ -0.01}$ &$ 8.88\substack{+0.01 \\ -0.01}$ &$ 8.86\substack{+0.01 \\ -0.01}$ &$ 8.85\substack{+0.01 \\ -0.01}$ \\
 3.7 & $ 8.66\substack{+0.00 \\ -0.00}$ &$ 8.78\substack{+0.00 \\ -0.00}$ &$ 8.87\substack{+0.01 \\ -0.01}$ &$ 8.78\substack{+0.01 \\ -0.01}$ &$ 8.83\substack{+0.01 \\ -0.01}$ &$ 8.81\substack{+0.01 \\ -0.01}$ &$ 8.79\substack{+0.01 \\ -0.01}$ \\
 4.1 & $ 8.60\substack{+0.00 \\ -0.00}$ &$ 8.72\substack{+0.00 \\ -0.00}$ &$ 8.82\substack{+0.01 \\ -0.01}$ &$ 8.72\substack{+0.01 \\ -0.01}$ &$ 8.77\substack{+0.01 \\ -0.01}$ &$ 8.76\substack{+0.01 \\ -0.01}$ &$ 8.73\substack{+0.01 \\ -0.01}$ \\
 4.4 & $ 8.54\substack{+0.00 \\ -0.00}$ &$ 8.66\substack{+0.00 \\ -0.00}$ &$ 8.77\substack{+0.01 \\ -0.01}$ &$ 8.66\substack{+0.01 \\ -0.01}$ &$ 8.72\substack{+0.01 \\ -0.01}$ &$ 8.70\substack{+0.01 \\ -0.01}$ &$ 8.67\substack{+0.01 \\ -0.01}$ \\
 4.8 & $ 8.48\substack{+0.00 \\ -0.00}$ &$ 8.60\substack{+0.00 \\ -0.00}$ &$ 8.71\substack{+0.01 \\ -0.01}$ &$ 8.60\substack{+0.01 \\ -0.01}$ &$ 8.66\substack{+0.01 \\ -0.01}$ &$ 8.65\substack{+0.01 \\ -0.01}$ &$ 8.61\substack{+0.01 \\ -0.01}$ \\
 6.2 & $ 8.26\substack{+0.00 \\ -0.00}$ &$ 8.40\substack{+0.00 \\ -0.00}$ &$ 8.53\substack{+0.01 \\ -0.01}$ &$ 8.41\substack{+0.01 \\ -0.01}$ &$ 8.46\substack{+0.01 \\ -0.01}$ &$ 8.46\substack{+0.02 \\ -0.02}$ &$ 8.40\substack{+0.02 \\ -0.02}$ \\
 7.6 & $ 8.09\substack{+0.00 \\ -0.00}$ &$ 8.24\substack{+0.00 \\ -0.00}$ &$ 8.39\substack{+0.01 \\ -0.01}$ &$ 8.27\substack{+0.01 \\ -0.01}$ &$ 8.31\substack{+0.01 \\ -0.01}$ &$ 8.31\substack{+0.02 \\ -0.02}$ &$ 8.23\substack{+0.02 \\ -0.02}$ \\
 9.0 & $ 7.95\substack{+0.00 \\ -0.00}$ &$ 8.10\substack{+0.00 \\ -0.00}$ &$ 8.27\substack{+0.01 \\ -0.01}$ &$ 8.14\substack{+0.02 \\ -0.02}$ &$ 8.18\substack{+0.01 \\ -0.01}$ &$ 8.19\substack{+0.02 \\ -0.02}$ &$ 8.09\substack{+0.02 \\ -0.02}$ \\
10.3 & $ 7.82\substack{+0.00 \\ -0.00}$ &$ 7.99\substack{+0.00 \\ -0.00}$ &$ 8.16\substack{+0.01 \\ -0.01}$ &$ 8.03\substack{+0.02 \\ -0.01}$ &$ 8.06\substack{+0.01 \\ -0.01}$ &$ 8.09\substack{+0.02 \\ -0.02}$ &$ 7.97\substack{+0.02 \\ -0.02}$ \\
11.7 & $ 7.70\substack{+0.00 \\ -0.00}$ &$ 7.88\substack{+0.00 \\ -0.00}$ &$ 8.06\substack{+0.01 \\ -0.01}$ &$ 7.93\substack{+0.02 \\ -0.02}$ &$ 7.96\substack{+0.01 \\ -0.01}$ &$ 7.99\substack{+0.02 \\ -0.02}$ &$ 7.85\substack{+0.02 \\ -0.02}$ \\
13.0 & $ 7.60\substack{+0.00 \\ -0.00}$ &$ 7.78\substack{+0.00 \\ -0.00}$ &$ 7.98\substack{+0.01 \\ -0.01}$ &$ 7.85\substack{+0.02 \\ -0.02}$ &$ 7.87\substack{+0.01 \\ -0.01}$ &$ 7.90\substack{+0.02 \\ -0.02}$ &$ 7.75\substack{+0.02 \\ -0.02}$ \\
14.5 & $ 7.50\substack{+0.00 \\ -0.00}$ &$ 7.69\substack{+0.00 \\ -0.00}$ &$ 7.90\substack{+0.01 \\ -0.01}$ &$ 7.76\substack{+0.02 \\ -0.02}$ &$ 7.78\substack{+0.01 \\ -0.01}$ &$ 7.82\substack{+0.02 \\ -0.02}$ &$ 7.65\substack{+0.02 \\ -0.02}$ \\
16.0 & $ 7.39\substack{+0.00 \\ -0.00}$ &$ 7.60\substack{+0.00 \\ -0.00}$ &$ 7.82\substack{+0.01 \\ -0.01}$ &$ 7.68\substack{+0.02 \\ -0.02}$ &$ 7.69\substack{+0.01 \\ -0.01}$ &$ 7.74\substack{+0.02 \\ -0.03}$ &$ 7.56\substack{+0.02 \\ -0.03}$ \\
17.3 & $ 7.31\substack{+0.00 \\ -0.00}$ &$ 7.52\substack{+0.00 \\ -0.00}$ &$ 7.76\substack{+0.01 \\ -0.01}$ &$ 7.61\substack{+0.02 \\ -0.02}$ &$ 7.62\substack{+0.01 \\ -0.01}$ &$ 7.67\substack{+0.03 \\ -0.03}$ &$ 7.48\substack{+0.03 \\ -0.03}$ \\
18.7 & $ 7.23\substack{+0.00 \\ -0.00}$ &$ 7.45\substack{+0.00 \\ -0.00}$ &$ 7.69\substack{+0.01 \\ -0.01}$ &$ 7.55\substack{+0.02 \\ -0.02}$ &$ 7.55\substack{+0.01 \\ -0.01}$ &$ 7.61\substack{+0.03 \\ -0.03}$ &$ 7.40\substack{+0.03 \\ -0.03}$ \\
22.6 & $ 7.02\substack{+0.00 \\ -0.00}$ &$ 7.27\substack{+0.00 \\ -0.00}$ &$ 7.54\substack{+0.01 \\ -0.01}$ &$ 7.38\substack{+0.02 \\ -0.02}$ &$ 7.37\substack{+0.01 \\ -0.01}$ &$ 7.45\substack{+0.03 \\ -0.03}$ &$ 7.21\substack{+0.03 \\ -0.03}$ \\
26.1 & $ 6.86\substack{+0.00 \\ -0.00}$ &$ 7.12\substack{+0.00 \\ -0.00}$ &$ 7.41\substack{+0.01 \\ -0.01}$ &$ 7.25\substack{+0.02 \\ -0.02}$ &$ 7.24\substack{+0.01 \\ -0.01}$ &$ 7.32\substack{+0.03 \\ -0.03}$ &$ 7.05\substack{+0.03 \\ -0.03}$ \\
30.0 & $ 6.70\substack{+0.00 \\ -0.00}$ &$ 6.98\substack{+0.00 \\ -0.00}$ &$ 7.29\substack{+0.01 \\ -0.01}$ &$ 7.13\substack{+0.03 \\ -0.02}$ &$ 7.10\substack{+0.01 \\ -0.01}$ &$ 7.20\substack{+0.03 \\ -0.04}$ &$ 6.90\substack{+0.03 \\ -0.04}$ \\
33.7 & $ 6.55\substack{+0.00 \\ -0.00}$ &$ 6.85\substack{+0.01 \\ -0.01}$ &$ 7.18\substack{+0.01 \\ -0.01}$ &$ 7.01\substack{+0.03 \\ -0.03}$ &$ 6.98\substack{+0.01 \\ -0.01}$ &$ 7.09\substack{+0.03 \\ -0.03}$ &$ 6.76\substack{+0.03 \\ -0.03}$ \\
37.8 & $ 6.41\substack{+0.00 \\ -0.00}$ &$ 6.72\substack{+0.01 \\ -0.01}$ &$ 7.07\substack{+0.01 \\ -0.01}$ &$ 6.90\substack{+0.03 \\ -0.03}$ &$ 6.85\substack{+0.01 \\ -0.01}$ &$ 6.98\substack{+0.04 \\ -0.04}$ &$ 6.63\substack{+0.04 \\ -0.04}$ \\
41.6 & $ 6.29\substack{+0.01 \\ -0.01}$ &$ 6.61\substack{+0.01 \\ -0.01}$ &$ 6.98\substack{+0.01 \\ -0.01}$ &$ 6.81\substack{+0.03 \\ -0.03}$ &$ 6.75\substack{+0.01 \\ -0.01}$ &$ 6.89\substack{+0.04 \\ -0.04}$ &$ 6.51\substack{+0.04 \\ -0.04}$ \\
45.7 & $ 6.17\substack{+0.01 \\ -0.01}$ &$ 6.50\substack{+0.01 \\ -0.01}$ &$ 6.88\substack{+0.01 \\ -0.01}$ &$ 6.71\substack{+0.03 \\ -0.03}$ &$ 6.64\substack{+0.01 \\ -0.01}$ &$ 6.79\substack{+0.04 \\ -0.04}$ &$ 6.39\substack{+0.04 \\ -0.04}$ \\
49.3 & $ 6.07\substack{+0.01 \\ -0.01}$ &$ 6.41\substack{+0.01 \\ -0.01}$ &$ 6.80\substack{+0.01 \\ -0.02}$ &$ 6.62\substack{+0.03 \\ -0.03}$ &$ 6.56\substack{+0.01 \\ -0.01}$ &$ 6.70\substack{+0.04 \\ -0.04}$ &$ 6.30\substack{+0.04 \\ -0.04}$ \\
53.1 & $ 5.98\substack{+0.01 \\ -0.01}$ &$ 6.33\substack{+0.01 \\ -0.01}$ &$ 6.71\substack{+0.02 \\ -0.02}$ &$ 6.55\substack{+0.03 \\ -0.03}$ &$ 6.46\substack{+0.01 \\ -0.01}$ &$ 6.64\substack{+0.04 \\ -0.04}$ &$ 6.21\substack{+0.04 \\ -0.04}$ \\
57.2 & $ 5.88\substack{+0.01 \\ -0.01}$ &$ 6.24\substack{+0.01 \\ -0.01}$ &$ 6.63\substack{+0.02 \\ -0.02}$ &$ 6.47\substack{+0.04 \\ -0.04}$ &$ 6.37\substack{+0.01 \\ -0.01}$ &$ 6.56\substack{+0.04 \\ -0.04}$ &$ 6.11\substack{+0.04 \\ -0.04}$ \\
61.5 & $ 5.79\substack{+0.01 \\ -0.01}$ &$ 6.15\substack{+0.01 \\ -0.01}$ &$ 6.55\substack{+0.02 \\ -0.02}$ &$ 6.39\substack{+0.04 \\ -0.04}$ &$ 6.29\substack{+0.01 \\ -0.01}$ &$ 6.49\substack{+0.04 \\ -0.04}$ &$ 6.03\substack{+0.04 \\ -0.04}$ \\
66.0 & $ 5.70\substack{+0.01 \\ -0.01}$ &$ 6.05\substack{+0.01 \\ -0.01}$ &$ 6.47\substack{+0.02 \\ -0.02}$ &$ 6.32\substack{+0.04 \\ -0.04}$ &$ 6.20\substack{+0.01 \\ -0.01}$ &$ 6.37\substack{+0.05 \\ -0.06}$ &$ 5.94\substack{+0.05 \\ -0.06}$ \\
69.8 & $ 5.64\substack{+0.01 \\ -0.01}$ &$ 5.98\substack{+0.01 \\ -0.01}$ &$ 6.40\substack{+0.02 \\ -0.02}$ &$ 6.25\substack{+0.04 \\ -0.04}$ &$ 6.12\substack{+0.02 \\ -0.01}$ &$ 6.35\substack{+0.04 \\ -0.05}$ &$ 5.87\substack{+0.04 \\ -0.05}$ \\
74.7 & $ 5.56\substack{+0.01 \\ -0.01}$ &$ 5.89\substack{+0.01 \\ -0.01}$ &$ 6.32\substack{+0.02 \\ -0.02}$ &$ 6.18\substack{+0.04 \\ -0.04}$ &$ 6.04\substack{+0.02 \\ -0.02}$ &$ 6.28\substack{+0.05 \\ -0.05}$ &$ 5.79\substack{+0.05 \\ -0.05}$ \\
79.9 & $ 5.49\substack{+0.01 \\ -0.01}$ &$ 5.81\substack{+0.01 \\ -0.01}$ &$ 6.24\substack{+0.02 \\ -0.02}$ &$ 6.12\substack{+0.04 \\ -0.04}$ &$ 5.96\substack{+0.02 \\ -0.02}$ &$ 6.20\substack{+0.05 \\ -0.06}$ &$ 5.72\substack{+0.05 \\ -0.06}$ \\
84.3 & $ 5.43\substack{+0.01 \\ -0.01}$ &$ 5.74\substack{+0.01 \\ -0.01}$ &$ 6.18\substack{+0.02 \\ -0.02}$ &$ 6.05\substack{+0.04 \\ -0.05}$ &$ 5.89\substack{+0.02 \\ -0.02}$ &$ 6.16\substack{+0.05 \\ -0.05}$ &$ 5.65\substack{+0.05 \\ -0.05}$ \\
88.8 & $ 5.38\substack{+0.01 \\ -0.01}$ &$ 5.67\substack{+0.01 \\ -0.01}$ &$ 6.11\substack{+0.02 \\ -0.02}$ &$ 5.99\substack{+0.05 \\ -0.06}$ &$ 5.81\substack{+0.02 \\ -0.02}$ &$ 6.08\substack{+0.05 \\ -0.06}$ &$ 5.58\substack{+0.05 \\ -0.06}$ \\
97.2 & $ 5.29\substack{+0.01 \\ -0.01}$ &$ 5.56\substack{+0.01 \\ -0.01}$ &$ 5.98\substack{+0.02 \\ -0.02}$ &$ 5.92\substack{+0.04 \\ -0.04}$ &$ 5.69\substack{+0.02 \\ -0.02}$ &$ 5.99\substack{+0.05 \\ -0.05}$ &$ 5.47\substack{+0.05 \\ -0.05}$ \\
103.6 & $ 5.21\substack{+0.01 \\ -0.01}$ &$ 5.49\substack{+0.01 \\ -0.01}$ &$ 5.89\substack{+0.03 \\ -0.03}$ &$ 5.84\substack{+0.05 \\ -0.05}$ &$ 5.62\substack{+0.02 \\ -0.02}$ &$ 5.94\substack{+0.05 \\ -0.05}$ &$ 5.39\substack{+0.05 \\ -0.05}$ \\
111.6 & $ 5.14\substack{+0.01 \\ -0.01}$ &$ 5.40\substack{+0.01 \\ -0.01}$ &$ 5.79\substack{+0.03 \\ -0.03}$ &$ 5.78\substack{+0.05 \\ -0.05}$ &$ 5.54\substack{+0.02 \\ -0.02}$ &$ 5.87\substack{+0.05 \\ -0.05}$ &$ 5.32\substack{+0.05 \\ -0.05}$ \\
117.2 & $ 5.10\substack{+0.01 \\ -0.01}$ &$ 5.36\substack{+0.01 \\ -0.01}$ &$ 5.72\substack{+0.03 \\ -0.03}$ &$ 5.72\substack{+0.05 \\ -0.05}$ &$ 5.47\substack{+0.02 \\ -0.02}$ &$ 5.82\substack{+0.05 \\ -0.05}$ &$ 5.29\substack{+0.05 \\ -0.05}$ \\
129.0 & $ 5.00\substack{+0.01 \\ -0.01}$ &$ 5.25\substack{+0.02 \\ -0.02}$ &$ 5.61\substack{+0.03 \\ -0.03}$ &$ 5.64\substack{+0.05 \\ -0.05}$ &$ 5.36\substack{+0.02 \\ -0.02}$ &$ 5.74\substack{+0.05 \\ -0.05}$ &$ 5.21\substack{+0.05 \\ -0.05}$ \\
141.7 & $ 4.89\substack{+0.02 \\ -0.02}$ &$ 5.13\substack{+0.02 \\ -0.02}$ &$ 5.49\substack{+0.03 \\ -0.03}$ &$ 5.58\substack{+0.05 \\ -0.05}$ &$ 5.23\substack{+0.03 \\ -0.03}$ &$ 5.66\substack{+0.05 \\ -0.05}$ &$ 5.09\substack{+0.05 \\ -0.05}$ \\
146.7 & $ 4.85\substack{+0.02 \\ -0.02}$ &$ 5.10\substack{+0.02 \\ -0.02}$ &$ 5.46\substack{+0.03 \\ -0.03}$ &$ 5.51\substack{+0.06 \\ -0.06}$ &$ 5.19\substack{+0.03 \\ -0.03}$ &$ 5.61\substack{+0.05 \\ -0.05}$ &$ 5.03\substack{+0.05 \\ -0.05}$ \\

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