In [2]:
%matplotlib inline
import numpy as np
import pandas as pd
import pymc3 as pm
import seaborn as sns
In [3]:
k = 1000
n = 100

fake_data = np.random.random((n, k+1))

y = (fake_data[:, 0] > 0.5).astype(int)
X = fake_data[:, 1:]
In [4]:
y[:10]
Out[4]:
array([0, 1, 0, 0, 1, 1, 0, 0, 1, 0])
In [6]:
X[:10]
Out[6]:
array([[ 0.99793098,  0.73438728,  0.02147011, ...,  0.20627819,
         0.81959427,  0.24403022],
       [ 0.7374508 ,  0.49828781,  0.67181405, ...,  0.63109101,
         0.54259191,  0.8022735 ],
       [ 0.02716477,  0.20614768,  0.21883465, ...,  0.07600625,
         0.92495336,  0.13042375],
       ..., 
       [ 0.93358462,  0.82313683,  0.97760142, ...,  0.33496804,
         0.05274658,  0.72094892],
       [ 0.70954478,  0.6490103 ,  0.32285314, ...,  0.65693131,
         0.13329869,  0.56881215],
       [ 0.39669528,  0.90033814,  0.55889899, ...,  0.86199438,
         0.40545961,  0.4398883 ]])
In [7]:
import theano.tensor as tt

invlogit = lambda x: 1/(1 + tt.exp(-x))

with pm.Model() as logistic_model:
    
    β = pm.Normal('β', 0, sd=10000, shape=k)
    
    π = invlogit(tt.dot(X, β))
    
    likelihood = pm.Bernoulli('likelihood', π, observed=y)
In [10]:
with logistic_model:
    tr = pm.sample(10000, step=pm.Metropolis())
100%|██████████| 10000/10000 [00:02<00:00, 3829.37it/s]
In [11]:
pm.summary(tr[-1000:])
β:

  Mean             SD               MC Error         95% HPD interval
  -------------------------------------------------------------------
  
  2.583            0.550            0.054            [1.485, 3.524]
  -2.456           1.195            0.119            [-4.574, -0.589]
  -0.720           0.769            0.076            [-2.245, 0.392]
  8.132            0.823            0.081            [6.723, 9.689]
  5.091            0.817            0.081            [2.913, 6.413]
  -2.135           1.354            0.135            [-3.995, 1.087]
  -0.036           1.366            0.136            [-1.919, 2.309]
  -0.377           0.789            0.078            [-1.655, 1.242]
  -7.791           0.499            0.049            [-8.763, -6.784]
  1.188            0.740            0.073            [-0.454, 2.277]
  4.248            1.820            0.182            [1.520, 7.859]
  4.752            1.996            0.199            [1.045, 7.163]
  5.553            0.634            0.062            [4.573, 6.856]
  -0.338           1.460            0.145            [-2.695, 1.872]
  -0.510           1.248            0.124            [-2.560, 1.705]
  -6.995           1.396            0.139            [-10.215, -4.772]
  -2.434           0.464            0.045            [-3.479, -1.568]
  5.532            1.153            0.115            [3.535, 7.529]
  2.709            1.571            0.157            [-0.222, 5.926]
  -11.738          0.733            0.072            [-12.884, -10.383]
  -2.980           0.969            0.096            [-4.977, -1.142]
  7.490            1.734            0.173            [4.124, 9.443]
  1.440            0.685            0.068            [0.058, 2.544]
  -0.249           1.224            0.122            [-2.200, 1.574]
  -1.166           0.957            0.095            [-3.419, 0.544]
  6.705            1.211            0.121            [4.792, 8.914]
  -13.082          1.858            0.185            [-16.678, -10.944]
  -4.574           1.276            0.127            [-6.794, -2.023]
  -1.140           1.136            0.113            [-2.602, 1.225]
  -1.387           1.300            0.129            [-3.924, 0.671]
  -3.398           0.682            0.067            [-4.725, -2.255]
  6.055            1.331            0.133            [3.937, 8.050]
  -1.926           1.159            0.115            [-3.524, 0.291]
  0.173            1.038            0.103            [-1.481, 2.074]
  -4.849           2.513            0.251            [-8.612, -1.131]
  -1.267           1.134            0.113            [-2.874, 1.107]
  -6.397           0.774            0.077            [-7.812, -5.004]
  11.590           0.825            0.082            [9.786, 12.624]
  -0.056           1.300            0.130            [-3.299, 1.462]
  2.791            0.742            0.074            [1.648, 3.970]
  -1.159           0.654            0.064            [-2.327, -0.063]
  -3.698           1.247            0.124            [-6.007, -1.669]
  0.508            0.785            0.078            [-1.064, 1.807]
  -4.361           1.058            0.105            [-6.067, -2.749]
  3.099            0.503            0.049            [2.202, 4.121]
  1.109            0.402            0.039            [0.214, 1.750]
  6.027            1.053            0.105            [4.346, 7.692]
  -5.708           0.561            0.055            [-6.667, -4.683]
  -2.319           0.695            0.069            [-3.660, -1.049]
  -7.682           1.347            0.134            [-9.894, -5.714]
  -1.813           0.667            0.066            [-3.091, -0.774]
  -15.207          1.406            0.140            [-18.202, -13.021]
  -13.332          1.059            0.105            [-15.768, -11.909]
  -1.182           0.861            0.086            [-2.528, 0.229]
  2.081            1.524            0.152            [0.052, 4.455]
  -1.352           1.508            0.150            [-3.392, 1.340]
  7.179            1.165            0.116            [5.350, 9.275]
  -7.732           1.935            0.193            [-10.568, -5.303]
  0.165            0.520            0.051            [-0.806, 1.117]
  -10.106          1.063            0.106            [-12.142, -7.861]
  -6.094           0.685            0.068            [-7.320, -4.849]
  8.791            0.890            0.088            [7.363, 10.704]
  -5.375           1.291            0.128            [-7.105, -2.977]
  1.389            1.137            0.113            [-0.561, 3.345]
  1.032            0.902            0.090            [-0.984, 2.169]
  -4.701           1.274            0.127            [-6.667, -2.428]
  5.677            2.089            0.208            [3.796, 10.226]
  -4.813           1.334            0.133            [-7.193, -2.867]
  3.729            1.607            0.160            [1.714, 6.086]
  -0.744           1.375            0.137            [-2.602, 1.739]
  -5.820           1.230            0.123            [-7.793, -3.743]
  -1.642           1.179            0.117            [-3.503, 0.087]
  -0.772           1.216            0.121            [-3.430, 0.574]
  -7.525           1.474            0.147            [-9.487, -5.108]
  -2.750           1.118            0.111            [-4.962, -0.721]
  -0.771           0.793            0.078            [-2.403, 0.577]
  -0.005           0.817            0.081            [-1.326, 1.623]
  0.678            1.779            0.178            [-2.529, 3.666]
  -2.127           0.839            0.083            [-3.817, -0.902]
  0.532            0.938            0.093            [-1.028, 1.909]
  5.384            0.572            0.056            [4.242, 6.382]
  -1.836           2.180            0.218            [-4.439, 2.351]
  3.424            0.654            0.064            [2.330, 4.769]
  -2.454           1.299            0.129            [-4.201, 0.188]
  -4.356           1.903            0.190            [-7.305, -1.259]
  -14.353          0.543            0.053            [-15.346, -13.169]
  -0.170           0.733            0.072            [-1.430, 1.067]
  8.433            0.907            0.090            [6.792, 9.972]
  4.843            1.084            0.108            [3.145, 7.177]
  -2.983           0.970            0.096            [-4.604, -1.313]
  1.425            1.099            0.109            [0.205, 4.384]
  0.836            0.787            0.078            [-0.826, 1.969]
  11.462           0.695            0.068            [10.112, 12.506]
  -3.978           0.803            0.079            [-5.393, -2.554]
  11.579           1.445            0.144            [9.491, 13.452]
  2.198            1.609            0.160            [-0.266, 4.717]
  2.382            0.981            0.097            [0.810, 4.479]
  11.601           0.415            0.040            [10.815, 12.387]
  -4.141           1.291            0.129            [-6.794, -2.047]
  3.635            0.518            0.051            [2.808, 4.588]
  5.262            0.520            0.051            [4.291, 6.202]
  9.960            1.299            0.129            [8.256, 12.511]
  -3.598           0.889            0.088            [-5.053, -2.090]
  -2.992           1.019            0.101            [-4.921, -1.602]
  -6.670           0.755            0.075            [-7.755, -4.945]
  -5.064           1.382            0.138            [-7.018, -2.853]
  4.480            0.567            0.056            [3.615, 5.651]
  -9.045           3.354            0.335            [-13.760, -3.782]
  5.927            0.671            0.066            [4.744, 7.322]
  -5.509           2.139            0.214            [-7.567, -0.809]
  -7.414           1.477            0.147            [-9.710, -4.925]
  0.290            0.612            0.060            [-0.859, 1.352]
  -0.675           2.660            0.266            [-4.239, 4.166]
  1.933            0.509            0.050            [0.918, 2.851]
  -2.177           0.482            0.047            [-2.942, -1.230]
  3.490            1.057            0.105            [1.843, 5.678]
  5.860            1.106            0.110            [4.598, 8.173]
  -4.246           0.657            0.065            [-5.702, -3.249]
  7.015            1.760            0.176            [2.553, 8.997]
  -1.289           0.721            0.071            [-2.344, 0.148]
  -1.926           1.223            0.122            [-4.260, -0.019]
  -2.179           0.425            0.041            [-3.043, -1.369]
  -4.714           1.204            0.120            [-7.209, -3.061]
  5.668            0.911            0.090            [4.035, 7.451]
  2.622            0.653            0.064            [1.611, 4.067]
  -5.892           0.559            0.055            [-6.718, -4.802]
  -3.189           1.338            0.133            [-5.689, -0.914]
  3.059            0.993            0.099            [1.093, 4.412]
  -0.125           1.178            0.117            [-2.352, 1.558]
  -2.488           2.156            0.215            [-5.374, 1.251]
  -0.486           0.621            0.061            [-1.612, 0.830]
  1.225            0.809            0.080            [-0.250, 2.917]
  -13.704          0.899            0.089            [-15.563, -12.475]
  0.543            0.606            0.060            [-0.474, 1.675]
  3.636            0.956            0.095            [2.054, 5.196]
  4.566            1.175            0.117            [2.805, 6.441]
  7.648            0.788            0.078            [6.481, 9.131]
  -5.838           1.813            0.181            [-9.137, -3.790]
  1.252            0.682            0.067            [0.149, 2.425]
  4.844            0.870            0.086            [3.500, 6.318]
  -5.638           1.110            0.110            [-7.121, -3.546]
  -0.335           0.937            0.093            [-1.908, 1.365]
  3.498            0.890            0.088            [2.070, 5.159]
  8.208            1.344            0.134            [5.830, 10.368]
  5.035            1.065            0.106            [3.005, 6.783]
  -0.723           1.195            0.119            [-2.556, 1.583]
  7.589            1.894            0.189            [5.333, 10.686]
  9.842            1.736            0.173            [7.148, 12.568]
  3.272            1.195            0.119            [0.566, 4.842]
  1.875            2.150            0.215            [-1.495, 4.611]
  6.721            0.458            0.045            [5.738, 7.562]
  6.893            0.588            0.058            [5.786, 7.777]
  6.223            1.525            0.152            [3.677, 8.488]
  13.467           1.386            0.138            [11.378, 15.658]
  -5.444           1.715            0.171            [-7.484, -2.104]
  13.601           1.585            0.158            [10.793, 15.990]
  -3.154           1.011            0.100            [-5.271, -1.340]
  -9.675           1.520            0.152            [-11.664, -6.732]
  -5.303           1.156            0.115            [-7.540, -3.858]
  -3.205           1.594            0.159            [-6.046, -0.166]
  4.212            1.294            0.129            [2.323, 6.569]
  5.166            0.555            0.054            [3.986, 6.129]
  4.144            0.592            0.058            [3.106, 5.067]
  6.752            0.507            0.049            [5.900, 7.731]
  -7.122           1.469            0.146            [-10.216, -4.465]
  -8.757           1.262            0.126            [-10.662, -6.196]
  -1.254           1.780            0.178            [-2.938, 3.100]
  1.168            1.351            0.135            [-0.438, 4.015]
  3.695            1.301            0.130            [1.409, 5.805]
  2.429            0.954            0.095            [0.996, 4.623]
  -9.520           1.202            0.120            [-11.518, -7.183]
  -4.175           1.406            0.140            [-6.404, -1.993]
  7.830            1.292            0.129            [5.127, 9.669]
  3.077            1.611            0.161            [0.640, 5.583]
  4.102            0.905            0.090            [2.838, 5.587]
  -10.138          1.552            0.155            [-12.466, -7.470]
  5.318            1.089            0.108            [2.873, 6.878]
  -0.615           1.523            0.152            [-3.289, 2.387]
  -1.539           0.921            0.091            [-2.862, 0.729]
  4.230            0.542            0.053            [2.891, 5.067]
  5.555            0.700            0.069            [4.292, 6.881]
  -5.690           0.961            0.096            [-7.710, -3.878]
  -1.630           0.879            0.087            [-3.116, -0.127]
  3.200            1.054            0.105            [1.361, 5.197]
  -3.992           0.745            0.074            [-5.235, -2.642]
  -2.514           0.996            0.099            [-4.503, -0.971]
  2.356            0.605            0.059            [1.240, 3.439]
  3.045            1.257            0.125            [1.396, 5.105]
  4.499            1.343            0.134            [2.690, 6.905]
  1.466            0.573            0.056            [0.377, 2.560]
  9.164            0.845            0.084            [7.769, 10.746]
  -3.756           1.624            0.162            [-6.389, -1.011]
  1.586            1.019            0.101            [-0.440, 3.226]
  1.042            0.817            0.081            [-0.163, 2.746]
  -3.762           1.175            0.117            [-5.729, -2.144]
  1.736            0.907            0.090            [0.471, 3.498]
  -6.072           1.923            0.192            [-9.441, -2.613]
  -1.634           0.800            0.079            [-3.197, -0.441]
  -0.497           0.551            0.054            [-1.595, 0.560]
  2.506            0.727            0.072            [1.028, 3.739]
  2.970            0.666            0.066            [1.845, 4.527]
  -0.959           0.533            0.052            [-2.333, -0.177]
  -6.753           1.887            0.188            [-10.786, -4.549]
  -0.619           0.785            0.078            [-1.981, 0.529]
  9.083            1.276            0.127            [7.550, 12.085]
  -3.220           0.477            0.046            [-4.300, -2.465]
  9.165            0.953            0.095            [7.600, 10.818]
  -10.683          1.241            0.124            [-12.756, -9.120]
  2.414            0.832            0.082            [0.884, 3.825]
  -3.232           0.716            0.071            [-4.548, -1.920]
  7.147            1.097            0.109            [5.421, 9.211]
  -10.548          1.769            0.176            [-12.921, -7.215]
  4.965            0.906            0.090            [3.168, 6.401]
  3.735            0.880            0.087            [2.622, 5.674]
  2.845            1.651            0.165            [0.131, 5.535]
  20.466           0.872            0.086            [19.102, 22.229]
  3.677            0.581            0.057            [2.537, 4.854]
  -2.020           1.055            0.105            [-3.586, -0.279]
  -4.730           1.300            0.130            [-7.239, -3.146]
  9.698            2.095            0.209            [6.660, 12.355]
  -1.676           1.020            0.101            [-3.446, -0.247]
  -7.815           0.826            0.082            [-9.250, -6.151]
  -0.940           0.762            0.076            [-2.385, 0.337]
  3.953            0.518            0.051            [3.032, 5.101]
  -3.025           0.658            0.065            [-4.091, -1.839]
  -1.002           0.964            0.096            [-2.754, 0.157]
  12.259           1.374            0.137            [10.115, 14.580]
  5.757            1.470            0.147            [3.954, 8.963]
  14.039           0.363            0.035            [13.344, 14.708]
  -1.975           1.041            0.104            [-4.231, -0.523]
  1.958            0.467            0.045            [1.121, 2.844]
  -5.635           0.545            0.053            [-6.665, -4.538]
  -4.290           1.153            0.115            [-5.732, -1.823]
  3.720            1.102            0.110            [0.904, 5.012]
  -0.950           1.089            0.108            [-2.488, 1.275]
  0.997            0.676            0.067            [0.006, 2.450]
  3.057            0.768            0.076            [1.652, 4.302]
  7.931            0.741            0.073            [6.451, 8.982]
  -2.732           0.954            0.095            [-4.819, -1.553]
  -0.926           0.576            0.057            [-2.203, 0.118]
  2.321            0.981            0.097            [0.911, 4.740]
  3.751            0.716            0.071            [2.510, 4.918]
  4.907            0.754            0.075            [3.672, 6.424]
  -4.813           0.540            0.053            [-5.913, -3.782]
  -1.099           0.672            0.066            [-2.479, -0.075]
  3.337            1.544            0.154            [0.098, 5.073]
  2.029            1.102            0.109            [0.537, 4.677]
  5.087            1.177            0.117            [3.228, 6.750]
  -5.288           0.868            0.086            [-7.198, -3.391]
  8.034            0.779            0.077            [6.824, 9.487]
  7.881            2.523            0.252            [3.954, 11.490]
  5.738            0.544            0.053            [4.778, 6.711]
  5.175            0.531            0.052            [4.256, 6.000]
  3.366            1.048            0.104            [1.614, 4.981]
  -4.745           0.677            0.067            [-5.888, -3.593]
  -5.773           0.618            0.061            [-7.028, -4.646]
  -0.376           0.656            0.065            [-1.784, 0.605]
  -1.070           1.637            0.163            [-3.241, 1.510]
  -9.854           1.885            0.188            [-13.090, -6.447]
  -2.470           0.414            0.040            [-3.155, -1.734]
  3.089            0.738            0.073            [1.790, 4.450]
  -7.593           0.949            0.094            [-9.588, -6.021]
  -3.862           1.372            0.137            [-6.737, -2.177]
  -0.910           0.735            0.073            [-2.095, 0.223]
  -1.018           0.725            0.072            [-2.288, 0.336]
  0.853            0.858            0.085            [-0.670, 2.355]
  1.478            1.000            0.099            [-0.354, 2.991]
  2.067            0.934            0.093            [0.496, 3.734]
  -1.282           1.088            0.108            [-3.517, 0.094]
  -1.276           2.004            0.200            [-4.274, 1.464]
  -5.149           0.805            0.080            [-6.310, -3.485]
  7.114            1.270            0.127            [4.762, 9.066]
  -9.835           1.153            0.115            [-11.936, -7.900]
  -5.006           0.880            0.087            [-6.666, -3.450]
  -1.971           0.841            0.083            [-3.450, -0.292]
  -0.043           0.857            0.085            [-1.280, 1.657]
  6.231            0.867            0.086            [4.803, 7.902]
  -2.891           1.766            0.176            [-5.418, 0.069]
  -1.430           0.398            0.038            [-2.087, -0.642]
  4.292            0.813            0.080            [2.765, 5.550]
  3.399            1.070            0.106            [1.363, 5.078]
  -7.852           0.979            0.097            [-9.273, -5.819]
  -10.829          0.608            0.060            [-11.797, -9.751]
  -4.732           1.197            0.119            [-6.675, -2.748]
  1.736            1.040            0.103            [0.161, 3.530]
  0.187            1.710            0.171            [-1.970, 3.505]
  -4.324           1.174            0.117            [-6.238, -2.342]
  0.691            1.276            0.127            [-2.084, 2.151]
  4.394            0.676            0.067            [3.079, 5.694]
  0.416            1.227            0.122            [-1.410, 2.801]
  -8.822           1.073            0.107            [-10.803, -7.154]
  -0.924           0.918            0.091            [-2.402, 0.477]
  6.123            0.600            0.059            [5.146, 7.246]
  -5.051           1.250            0.124            [-6.341, -1.809]
  -2.252           0.770            0.076            [-3.671, -0.894]
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  2.706            0.809            0.080            [1.342, 4.393]
  -2.212           0.858            0.085            [-3.877, -0.590]
  2.817            0.596            0.059            [1.678, 3.783]
  2.550            1.081            0.108            [0.639, 4.715]
  -3.009           1.888            0.188            [-6.007, -0.336]
  6.631            2.083            0.208            [3.813, 9.781]
  6.116            2.035            0.203            [2.699, 9.274]
  3.338            1.018            0.101            [1.159, 4.973]
  -0.303           0.663            0.065            [-2.131, 0.560]
  3.195            0.999            0.099            [0.847, 4.336]
  -4.900           1.304            0.130            [-7.489, -2.556]
  6.783            0.645            0.064            [5.794, 8.090]
  -0.465           1.156            0.115            [-2.260, 1.839]
  1.324            1.057            0.105            [-0.615, 3.416]
  1.136            0.795            0.079            [-0.393, 2.584]
  -1.229           0.475            0.046            [-2.233, -0.409]
  2.249            0.989            0.098            [0.684, 4.279]
  -4.216           1.418            0.141            [-6.210, -1.630]
  2.472            1.831            0.183            [-0.179, 5.296]
  4.041            0.679            0.067            [2.819, 5.114]
  4.307            1.893            0.189            [1.065, 7.083]
  -2.177           1.222            0.122            [-4.405, -0.152]
  0.561            1.801            0.180            [-2.325, 3.249]
  0.086            1.046            0.104            [-2.221, 2.069]
  -1.369           1.718            0.171            [-3.756, 1.004]
  4.685            0.594            0.058            [3.381, 5.748]
  -3.340           0.661            0.065            [-4.538, -2.008]
  -2.348           0.619            0.061            [-3.479, -1.173]
  18.402           0.864            0.086            [16.971, 19.949]
  8.513            1.144            0.114            [6.131, 10.295]
  -4.983           0.703            0.069            [-6.146, -3.455]
  7.906            1.370            0.136            [5.094, 9.912]
  -2.183           0.877            0.087            [-3.912, -0.889]
  -2.280           0.825            0.082            [-3.421, -0.427]
  -4.026           0.948            0.094            [-5.618, -2.296]
  0.908            0.981            0.098            [-0.779, 2.510]
  -7.286           1.273            0.127            [-9.549, -5.455]
  6.599            1.470            0.146            [4.177, 8.888]
  -0.158           1.737            0.173            [-2.533, 2.969]
  4.991            1.497            0.149            [2.805, 7.829]
  -6.743           1.650            0.165            [-9.143, -2.807]
  3.383            0.812            0.080            [1.866, 4.795]
  4.035            0.387            0.037            [3.195, 4.703]
  -5.766           0.880            0.087            [-7.452, -4.401]
  5.688            0.879            0.087            [4.429, 7.454]
  -8.669           0.802            0.079            [-10.055, -7.283]
  0.136            0.823            0.082            [-1.552, 1.502]
  -1.216           0.782            0.077            [-2.559, 0.378]
  5.619            1.305            0.130            [3.625, 7.625]
  0.448            0.857            0.085            [-1.028, 2.127]
  6.023            1.492            0.149            [3.792, 8.438]
  0.856            0.584            0.057            [-0.127, 1.773]
  -4.188           1.258            0.125            [-6.399, -1.427]
  -5.151           0.591            0.058            [-6.280, -4.209]
  -2.238           0.795            0.079            [-3.755, -0.906]
  -4.649           0.831            0.082            [-6.108, -3.409]
  1.461            1.383            0.138            [-0.823, 3.841]
  -1.936           0.810            0.080            [-3.457, -0.705]
  -4.089           0.823            0.082            [-5.710, -2.804]
  -0.177           0.641            0.063            [-1.222, 1.349]
  -0.464           0.722            0.071            [-1.720, 0.851]
  -5.621           0.755            0.075            [-6.986, -4.198]
  -3.817           0.631            0.062            [-5.269, -2.752]
  5.298            0.795            0.079            [3.916, 6.551]
  -2.811           1.027            0.102            [-4.794, -1.199]
  -1.776           0.756            0.075            [-3.199, -0.611]
  -1.450           0.533            0.052            [-2.390, -0.596]

  Posterior quantiles:
  2.5            25             50             75             97.5
  |--------------|==============|==============|--------------|
  
  1.448          2.236          2.697          2.936          3.513
  -4.638         -3.510         -2.416         -1.455         -0.591
  -2.206         -1.236         -0.586         -0.150         0.505
  6.645          7.573          8.026          8.758          9.659
  2.913          4.798          5.241          5.511          6.488
  -4.026         -2.884         -2.427         -1.655         1.078
  -1.872         -1.203         -0.391         1.139          2.438
  -1.875         -0.922         -0.395         0.014          1.209
  -8.653         -8.088         -7.822         -7.567         -6.362
  -0.377         0.733          1.269          1.745          2.464
  1.743          2.911          3.420          5.362          8.360
  1.087          2.730          5.506          6.436          7.279
  4.247          5.076          5.476          6.043          6.792
  -2.616         -1.569         -0.701         0.963          2.019
  -2.660         -1.566         -0.532         0.608          1.695
  -10.119        -7.467         -6.753         -6.223         -4.603
  -3.689         -2.614         -2.406         -2.160         -1.644
  3.402          4.680          5.434          6.531          7.460
  -0.072         1.677          2.354          3.460          6.273
  -12.882        -12.380        -11.761        -11.136        -10.285
  -4.864         -3.737         -2.814         -2.304         -0.950
  3.970          6.609          8.243          8.797          9.391
  0.058          0.938          1.517          1.926          2.727
  -2.184         -1.411         -0.179         0.823          1.766
  -3.385         -1.691         -1.062         -0.523         0.649
  4.792          5.774          6.546          7.498          8.921
  -16.655        -14.869        -12.298        -11.609        -10.902
  -6.768         -5.408         -4.629         -3.980         -1.920
  -2.729         -2.001         -1.340         -0.367         1.129
  -3.901         -2.183         -1.145         -0.554         0.711
  -5.096         -3.695         -3.333         -3.000         -2.284
  3.754          5.010          5.846          7.330          7.944
  -3.410         -2.908         -2.321         -0.792         0.611
  -1.801         -0.534         -0.071         1.157          1.999
  -8.612         -7.141         -5.283         -2.350         -1.131
  -3.088         -2.127         -1.360         -0.436         0.985
  -7.812         -7.032         -6.446         -5.751         -5.004
  9.834          10.974         11.869         12.209         12.805
  -3.155         -0.202         0.324          0.748          1.659
  1.776          2.157          2.608          3.516          4.174
  -2.250         -1.601         -1.203         -0.703         0.041
  -6.007         -4.523         -3.636         -2.698         -1.553
  -1.045         0.002          0.374          1.142          1.928
  -6.087         -5.433         -4.251         -3.421         -2.749
  2.040          2.755          3.118          3.453          4.077
  0.126          0.900          1.192          1.374          1.748
  4.382          5.048          5.981          7.006          7.781
  -6.695         -6.098         -5.710         -5.248         -4.683
  -3.638         -2.821         -2.381         -1.713         -0.933
  -9.878         -8.888         -7.305         -6.458         -5.582
  -3.048         -2.335         -1.795         -1.263         -0.628
  -18.093        -16.083        -15.065        -14.176        -12.731
  -15.711        -13.904        -13.047        -12.571        -11.722
  -2.528         -2.015         -1.091         -0.524         0.332
  -0.113         0.609          1.873          3.525          4.406
  -3.528         -2.580         -1.735         0.219          1.340
  5.089          6.225          7.205          8.069          9.275
  -10.568        -9.881         -7.417         -5.814         -5.249
  -1.163         -0.167         0.242          0.565          0.949
  -12.104        -10.630        -10.257        -9.861         -7.730
  -7.274         -6.617         -6.128         -5.578         -4.699
  7.460          8.096          8.742          9.178          10.832
  -7.030         -6.408         -5.784         -4.246         -2.747
  -0.798         0.633          1.493          2.123          3.248
  -1.055         0.619          1.314          1.746          2.120
  -6.637         -5.714         -4.815         -3.597         -2.162
  3.755          4.195          4.621          6.954          10.212
  -7.136         -6.016         -4.792         -3.481         -2.662
  1.515          2.323          3.029          5.479          6.045
  -2.599         -1.935         -1.137         0.562          1.875
  -7.644         -7.032         -5.852         -4.773         -3.524
  -3.458         -2.790         -1.842         -0.540         0.249
  -3.383         -1.397         -0.359         0.151          0.724
  -9.381         -8.871         -8.019         -6.149         -4.931
  -4.741         -3.700         -2.742         -1.975         -0.293
  -2.277         -1.184         -0.724         -0.413         1.277
  -1.565         -0.633         -0.003         0.628          1.470
  -2.489         -0.600         0.070          2.339          3.749
  -3.951         -2.600         -1.935         -1.455         -0.930
  -0.861         -0.238         0.244          1.386          2.210
  4.191          5.046          5.401          5.797          6.382
  -4.250         -3.741         -2.759         0.347          2.726
  2.312          2.967          3.305          3.933          4.755
  -4.019         -3.446         -2.972         -1.630         0.405
  -7.267         -6.392         -4.060         -2.948         -1.165
  -15.242        -14.698        -14.400        -14.167        -12.763
  -1.445         -0.731         -0.145         0.525          1.067
  6.792          7.709          8.458          9.229          9.972
  2.951          4.038          4.868          5.490          7.019
  -4.376         -3.763         -3.218         -2.083         -0.939
  0.205          0.722          1.040          1.695          4.397
  -0.768         0.391          0.935          1.468          2.099
  10.289         10.927         11.322         12.015         12.958
  -5.285         -4.703         -3.929         -3.413         -2.057
  9.413          10.112         12.037         13.046         13.441
  -0.447         0.684          2.368          3.778          4.666
  0.886          1.652          2.279          3.055          4.639
  10.815         11.306         11.596         11.870         12.387
  -6.792         -5.101         -4.029         -3.174         -2.020
  2.785          3.237          3.615          3.927          4.588
  4.264          4.895          5.376          5.632          6.180
  8.297          8.904          9.559          10.853         12.689
  -4.970         -4.296         -3.910         -2.589         -1.951
  -4.974         -3.896         -2.721         -2.185         -1.622
  -7.815         -7.306         -6.718         -6.178         -4.946
  -7.115         -6.327         -5.319         -3.677         -2.904
  3.615          4.045          4.365          4.874          5.678
  -13.872        -12.376        -9.513         -5.930         -3.798
  4.747          5.444          5.866          6.290          7.397
  -7.650         -7.098         -6.320         -4.774         -0.818
  -9.934         -8.764         -7.019         -6.228         -5.013
  -1.226         -0.078         0.394          0.706          1.324
  -4.164         -3.322         -0.188         1.492          4.354
  0.864          1.570          1.919          2.287          2.833
  -2.957         -2.518         -2.251         -1.879         -1.230
  1.760          2.469          3.798          4.216          5.669
  4.554          5.125          5.442          6.353          8.140
  -5.665         -4.719         -4.123         -3.794         -3.185
  2.648          6.748          7.421          8.410          9.265
  -2.344         -1.885         -1.393         -0.754         0.182
  -4.218         -2.747         -1.635         -1.230         0.070
  -3.015         -2.462         -2.174         -1.906         -1.274
  -7.185         -5.414         -4.480         -3.771         -2.907
  3.906          4.967          5.853          6.240          7.420
  1.532          2.104          2.573          3.022          4.064
  -6.733         -6.290         -6.036         -5.482         -4.802
  -5.641         -4.271         -3.284         -2.143         -0.684
  1.141          2.239          3.294          3.939          4.569
  -2.307         -0.884         0.023          0.724          1.736
  -5.164         -4.364         -3.208         -0.640         1.740
  -2.108         -0.873         -0.399         -0.065         0.563
  -0.680         0.820          1.194          1.859          2.753
  -15.511        -14.247        -13.542        -12.968        -12.383
  -0.569         0.069          0.602          1.007          1.626
  1.975          2.695          3.703          4.466          5.184
  2.826          3.454          4.339          5.647          6.520
  6.348          6.948          7.511          8.379          9.016
  -9.373         -7.399         -4.692         -4.346         -3.821
  0.011          0.692          1.336          1.833          2.329
  3.486          4.150          4.816          5.621          6.318
  -7.185         -6.478         -5.919         -4.612         -3.598
  -1.839         -1.164         -0.152         0.329          1.635
  2.305          2.753          3.361          4.135          5.717
  5.664          7.355          7.932          9.438          10.282
  3.075          4.442          4.902          5.997          7.139
  -3.200         -1.553         -0.775         0.011          1.476
  5.385          5.959          6.913          9.587          10.765
  7.253          8.222          10.309         11.283         12.907
  0.750          2.927          3.571          4.026          5.081
  -1.455         -0.327         1.648          3.955          4.760
  5.804          6.391          6.727          7.027          7.671
  5.870          6.405          6.894          7.373          7.930
  3.723          4.778          6.276          7.655          8.596
  11.378         12.200         13.634         14.625         15.689
  -7.515         -6.870         -6.068         -3.974         -2.104
  10.611         12.956         13.557         14.965         15.931
  -5.206         -3.799         -3.088         -2.488         -1.133
  -11.616        -11.115        -9.969         -8.437         -6.507
  -7.606         -5.912         -4.848         -4.372         -3.877
  -5.977         -4.252         -3.365         -2.214         0.112
  2.264          3.136          4.051          5.140          6.569
  3.986          4.823          5.156          5.561          6.132
  3.110          3.684          4.146          4.686          5.114
  5.957          6.345          6.718          7.134          7.829
  -9.915         -7.826         -7.008         -6.102         -3.840
  -10.757        -9.722         -8.919         -7.999         -6.208
  -2.926         -2.373         -1.950         -1.008         3.254
  -0.610         0.103          0.625          2.174          3.877
  1.176          2.599          3.666          4.930          5.694
  0.567          1.724          2.437          2.907          4.318
  -11.709        -10.387        -9.911         -8.464         -7.184
  -6.323         -5.663         -3.845         -3.048         -1.842
  5.139          7.299          8.167          8.760          9.792
  0.399          1.412          3.440          4.569          5.423
  2.776          3.267          3.852          4.924          5.566
  -12.536        -11.451        -10.237        -8.657         -7.489
  2.787          4.886          5.492          6.111          6.826
  -3.404         -1.522         -0.649         0.330          2.340
  -2.915         -2.300         -1.598         -0.957         0.691
  3.088          3.941          4.310          4.531          5.283
  4.259          5.047          5.574          6.027          6.876
  -8.274         -6.147         -5.555         -5.105         -4.167
  -3.209         -2.379         -1.719         -0.840         -0.172
  1.289          2.339          3.171          4.050          5.150
  -5.170         -4.648         -4.073         -3.361         -2.508
  -4.404         -3.219         -2.543         -1.677         -0.789
  1.373          1.879          2.349          2.783          3.632
  1.414          1.993          2.452          4.491          5.180
  2.753          3.239          4.323          5.662          7.045
  0.385          1.076          1.467          1.784          2.621
  7.784          8.372          9.163          9.841          10.842
  -6.263         -4.925         -3.907         -2.527         -0.837
  -0.411         0.931          1.493          2.436          3.257
  -0.251         0.397          0.982          1.512          2.724
  -5.717         -4.798         -3.437         -2.750         -2.073
  0.472          1.120          1.463          2.529          3.549
  -9.336         -7.501         -6.131         -4.591         -2.333
  -3.260         -2.243         -1.326         -1.030         -0.496
  -1.675         -0.819         -0.479         -0.127         0.538
  1.054          2.078          2.532          3.033          3.855
  2.074          2.517          2.800          3.228          4.824
  -2.173         -1.239         -0.905         -0.602         0.020
  -10.697        -7.400         -6.228         -5.386         -4.364
  -2.247         -1.268         -0.373         -0.012         0.492
  7.451          8.212          8.797          9.478          12.076
  -4.300         -3.392         -3.120         -2.926         -2.464
  7.722          8.356          9.188          9.696          11.248
  -12.815        -11.842        -10.141        -9.650         -9.147
  0.884          1.844          2.392          3.155          3.825
  -4.528         -3.820         -3.207         -2.722         -1.686
  5.230          6.146          7.200          8.049          9.063
  -12.913        -11.876        -11.090        -8.902         -7.150
  3.277          4.180          5.107          5.653          6.563
  2.556          3.122          3.449          4.212          5.667
  0.086          1.572          2.940          4.216          5.535
  19.105         19.721         20.396         20.980         22.288
  2.308          3.284          3.756          4.084          4.778
  -3.557         -2.981         -2.063         -1.122         -0.139
  -7.228         -5.400         -4.201         -3.796         -3.057
  6.724          7.335          10.530         11.656         12.466
  -3.344         -2.603         -1.555         -0.834         -0.128
  -9.239         -8.408         -7.885         -7.337         -6.133
  -2.639         -1.440         -0.979         -0.238         0.147
  3.062          3.599          3.888          4.228          5.137
  -4.415         -3.563         -2.967         -2.437         -1.930
  -2.738         -2.082         -0.584         -0.230         0.235
  10.199         10.953         12.530         13.490         14.883
  3.385          4.555          5.365          7.050          8.613
  13.342         13.785         14.052         14.306         14.708
  -4.188         -2.593         -2.069         -1.064         -0.431
  1.182          1.589          1.907          2.263          2.987
  -6.553         -6.073         -5.675         -5.268         -4.359
  -5.732         -5.177         -4.722         -3.619         -1.823
  0.906          3.262          4.005          4.539          5.098
  -2.418         -1.844         -1.159         -0.166         1.402
  -0.085         0.470          0.919          1.466          2.411
  1.714          2.392          3.104          3.664          4.423
  6.346          7.320          8.063          8.567          8.974
  -4.893         -3.141         -2.414         -2.069         -1.553
  -2.091         -1.280         -0.946         -0.629         0.385
  0.746          1.565          2.301          2.711          4.729
  2.541          3.155          3.758          4.317          5.011
  3.789          4.289          4.882          5.339          6.635
  -5.810         -5.122         -4.898         -4.462         -3.596
  -2.473         -1.563         -0.934         -0.638         -0.055
  0.054          2.656          3.932          4.455          5.062
  0.484          1.371          1.820          2.270          4.677
  3.228          3.657          5.565          6.030          6.832
  -7.381         -5.680         -5.341         -4.775         -3.500
  6.626          7.550          7.859          8.817          9.396
  3.999          5.823          7.780          10.507         11.549
  4.730          5.275          5.740          6.159          6.711
  4.232          4.754          5.255          5.626          5.993
  1.614          2.392          3.511          4.208          5.023
  -5.847         -5.309         -4.768         -4.184         -3.442
  -7.220         -6.054         -5.713         -5.303         -4.703
  -1.840         -0.670         -0.274         0.125          0.599
  -3.197         -2.716         -1.186         0.337          1.677
  -13.125        -11.118        -10.041        -8.439         -6.454
  -3.248         -2.787         -2.464         -2.159         -1.780
  1.547          2.513          3.147          3.635          4.376
  -9.463         -8.311         -7.468         -6.885         -5.733
  -6.751         -4.307         -3.457         -2.848         -2.177
  -2.095         -1.647         -0.914         -0.229         0.224
  -2.435         -1.603         -0.921         -0.448         0.258
  -0.655         0.243          0.804          1.513          2.413
  -0.608         0.819          1.612          2.214          2.960
  0.497          1.423          1.965          2.793          3.770
  -3.497         -1.777         -0.888         -0.525         0.254
  -4.245         -3.419         -0.897         0.534          1.522
  -6.600         -5.767         -5.323         -4.402         -3.569
  4.235          6.262          7.478          7.927          9.015
  -12.033        -10.613        -9.964         -8.717         -7.900
  -7.016         -5.529         -5.033         -4.218         -3.522
  -3.734         -2.359         -1.812         -1.492         -0.415
  -1.289         -0.656         -0.267         0.478          1.657
  4.941          5.435          6.278          6.722          8.235
  -5.275         -4.696         -2.805         -1.342         0.330
  -2.086         -1.723         -1.513         -1.106         -0.620
  2.880          3.693          4.236          4.873          6.107
  1.363          2.782          3.368          4.336          5.078
  -9.073         -8.628         -8.074         -7.425         -5.031
  -11.834        -11.341        -10.872        -10.340        -9.757
  -6.615         -5.750         -4.794         -3.770         -2.647
  0.078          0.826          1.662          2.531          3.522
  -2.106         -0.992         -0.392         1.359          3.466
  -6.014         -5.357         -4.538         -3.268         -1.955
  -2.122         -0.085         1.212          1.566          2.123
  2.950          4.010          4.463          4.829          5.613
  -1.444         -0.612         0.484          1.147          2.801
  -10.990        -9.597         -8.849         -7.909         -7.220
  -2.405         -1.930         -0.863         -0.179         0.477
  5.114          5.596          6.184          6.564          7.243
  -6.325         -5.871         -5.420         -4.768         -1.758
  -3.902         -2.812         -2.328         -1.560         -0.962
  -5.454         -4.927         -4.512         -4.097         -3.565
  7.728          8.952          9.921          10.307         11.003
  -1.287         -0.747         -0.268         1.937          3.678
  -1.044         0.121          1.412          2.667          4.619
  -5.376         -4.372         -3.897         -3.240         -2.196
  -2.706         -2.063         -1.187         -0.613         0.439
  -4.089         -3.461         -3.248         -2.679         -2.091
  0.836          2.586          2.982          3.370          4.034
  -2.242         -1.521         -1.063         -0.145         0.430
  -3.677         -2.615         -0.408         0.900          1.924
  1.188          2.103          2.793          3.311          4.091
  2.226          3.760          4.226          4.585          5.092
  -6.693         -5.658         -5.037         -4.179         -2.551
  -5.545         -2.761         -2.136         -0.953         0.832
  -3.431         -2.634         -2.110         -1.308         0.998
  1.616          2.273          4.157          5.590          7.448
  -2.102         -0.760         -0.208         0.273          1.175
  11.023         11.461         11.948         12.586         13.297
  -4.724         -3.407         -2.848         -2.242         -1.421
  -8.554         -7.175         -6.586         -5.836         -4.993
  -2.293         -1.771         -1.369         -0.881         0.368
  -11.690        -10.395        -9.617         -8.094         -5.958
  5.867          6.360          6.835          7.885          10.172
  -1.144         -0.444         -0.132         0.220          0.638
  -0.227         0.828          1.345          1.843          3.140
  2.365          3.366          3.891          4.501          5.025
  -5.831         -4.315         -3.478         -2.954         -0.320
  -6.439         -5.706         -4.881         -4.375         -3.367
  4.952          5.429          6.422          6.893          7.613
  -4.167         -3.214         -1.394         -0.885         -0.144
  -3.698         -2.520         -0.993         1.191          2.625
  -13.321        -11.692        -10.222        -8.958         -7.678
  -9.299         -8.438         -7.538         -5.844         -4.795
  4.134          5.310          5.995          6.507          6.935
  -6.179         -5.143         -3.824         -3.229         -1.760
  2.786          5.139          6.621          7.516          9.446
  0.441          2.390          3.289          4.095          6.117
  -7.010         -5.827         -4.616         -2.803         -1.938
  -3.649         -2.197         -1.057         -0.455         0.038
  -2.942         -2.164         -1.872         -1.520         -0.722
  -2.338         0.949          1.901          2.645          3.769
  7.517          8.583          9.195          9.531          10.175
  -2.877         -1.649         -0.275         0.232          1.058
  -3.889         -3.398         -2.916         -2.119         0.062
  2.642          3.331          3.971          4.362          5.040
  0.770          1.481          2.048          2.684          3.785
  -7.095         -5.026         -4.348         -3.628         -2.986
  -3.726         -2.726         -2.167         -1.644         -1.056
  -2.355         -1.919         -1.437         -0.917         -0.309
  4.112          5.900          7.548          8.281          8.839
  2.785          3.358          3.858          4.098          4.951
  -3.588         -3.052         -2.497         -2.052         -0.802
  2.084          3.612          4.338          5.651          7.588
  -4.645         -3.458         -2.572         -1.593         0.171
  -7.392         -6.200         -4.551         -2.930         -2.285
  -14.099        -13.414        -12.747        -12.081        -11.133
  -4.806         -4.422         -3.400         -0.516         0.038
  9.406          10.351         11.400         12.015         12.869
  -2.391         -1.718         -1.107         0.081          1.393
  2.510          3.865          4.178          4.798          5.648
  -1.377         -0.791         -0.115         0.732          1.504
  -4.593         -3.949         -3.118         -2.823         -1.850
  -13.251        -12.473        -11.853        -11.081        -9.616
  -10.097        -9.284         -8.649         -7.217         -5.470
  0.697          3.611          4.499          4.873          6.558
  6.908          7.785          8.632          9.969          11.252
  4.876          6.661          7.135          7.734          8.414
  -7.704         -6.930         -5.758         -5.213         -3.605
  -6.645         -4.874         -4.384         -4.058         -3.317
  -4.765         -4.035         -3.467         -1.546         -0.770
  -0.608         0.101          0.712          1.270          1.805
  -5.030         -3.130         -1.819         -0.749         0.139
  -7.096         -4.485         -3.503         -2.874         -1.725
  -10.907        -10.119        -9.129         -8.485         -6.366
  3.954          5.807          6.950          7.564          8.284
  -1.941         -1.243         -0.285         0.767          2.667
  -10.193        -9.555         -8.848         -8.430         -7.615
  -11.191        -9.749         -7.406         -6.111         -5.585
  -10.875        -9.797         -9.426         -9.057         -8.557
  2.155          2.627          2.896          3.331          4.271
  2.447          3.159          3.974          5.448          6.467
  1.558          2.148          2.769          3.194          4.030
  -2.040         -0.492         0.788          1.876          2.411
  -14.711        -13.785        -13.017        -12.469        -11.533
  2.391          3.243          4.734          5.388          6.033
  -1.894         -1.267         -0.764         -0.472         1.396
  -9.599         -8.899         -8.499         -8.191         -7.381
  0.054          2.527          3.506          4.543          5.376
  8.971          9.750          10.037         10.331         10.990
  -1.030         0.008          0.984          3.147          3.862
  1.398          2.524          3.274          4.363          5.138
  -2.929         -2.042         -1.469         -1.037         -0.508
  -0.533         0.135          0.792          1.684          2.307
  -8.686         -7.966         -7.237         -6.916         -6.591
  -5.542         -4.856         -4.071         -3.580         -2.742
  -12.416        -11.839        -11.372        -10.685        -8.684
  -12.041        -11.272        -10.628        -10.012        -7.897
  -9.992         -9.083         -8.152         -7.079         -5.827
  -3.997         -2.818         -1.618         -1.258         -0.294
  4.681          5.550          5.987          6.308          7.046
  -1.722         -1.253         -0.889         -0.288         1.291
  5.054          6.242          7.031          7.915          9.125
  -4.797         -4.079         -3.264         -2.796         -1.845
  -6.194         -5.124         -4.267         -1.472         1.378
  3.316          4.470          5.011          5.686          6.507
  6.464          6.996          8.644          10.542         11.616
  -3.371         -2.631         -1.420         -0.893         0.075
  6.543          7.640          8.023          8.523          9.860
  -8.147         -7.414         -6.847         -6.284         -5.002
  -9.249         -8.333         -7.834         -7.304         -6.557
  2.363          3.122          3.501          4.011          4.522
  -7.000         -6.313         -5.900         -5.323         -4.540
  -10.412        -9.929         -8.150         -6.291         -3.819
  2.771          3.479          4.402          4.877          5.654
  3.075          3.841          4.108          4.619          5.505
  4.375          5.318          6.477          7.952          9.002
  -3.392         -0.881         0.129          1.040          1.972
  -0.371         0.467          0.815          1.718          2.588
  -6.102         -5.157         -4.580         -4.115         -3.386
  4.224          5.459          5.878          6.264          6.768
  -4.678         -3.759         -3.170         -2.735         -1.970
  0.176          1.250          1.978          2.373          3.021
  0.908          2.106          2.775          3.502          4.246
  -12.100        -10.999        -8.989         -7.783         -6.413
  -1.542         -0.721         -0.353         0.511          2.506
  -10.886        -10.265        -8.788         -7.471         -6.724
  -3.124         -2.205         -1.842         -1.302         -0.372
  2.616          3.181          3.492          4.018          4.477
  -2.769         -1.959         -1.116         -0.370         1.160
  -5.262         -4.144         -3.567         -3.234         -2.671
  -3.803         -3.121         -2.542         -2.163         -1.061
  -8.196         -6.714         -4.984         -4.179         -1.677
  -10.038        -8.647         -8.050         -7.213         -5.937
  0.219          0.978          1.375          1.684          2.597
  3.175          3.954          4.554          5.683          6.578
  3.880          4.982          5.716          6.029          6.656
  2.243          2.773          3.148          3.759          5.101
  -5.161         -4.459         -4.040         -3.419         -1.655
  -11.806        -9.721         -8.829         -7.618         -6.499
  9.476          10.194         10.511         11.871         12.972
  -0.989         -0.022         0.463          0.782          1.486
  1.478          2.294          2.596          3.091          3.997
  -0.329         1.655          2.333          2.738          3.223
  3.414          4.025          4.437          4.804          5.457
  -2.403         -0.907         -0.288         0.191          0.825
  -9.354         -8.175         -7.114         -6.603         -5.712
  -5.003         -1.360         -0.341         0.309          0.795
  -2.452         -1.802         -1.059         -0.519         0.404
  0.633          1.289          1.724          3.049          3.633
  -6.725         -6.090         -5.615         -4.640         -3.593
  -2.137         -1.305         -0.483         0.361          1.812
  -13.052        -12.144        -11.745        -10.815        -10.181
  -6.951         -6.150         -5.646         -5.322         -4.468
  -5.476         -2.951         -1.382         -0.871         1.231
  10.991         12.316         12.792         13.265         13.923
  3.345          4.211          4.882          5.609          6.350
  2.170          2.972          3.612          4.135          4.983
  0.314          0.918          1.599          3.034          4.112
  3.708          4.419          5.006          6.654          8.521
  9.215          9.956          10.396         11.031         11.751
  -3.177         -2.370         -1.855         -1.351         -0.423
  1.559          2.765          3.874          4.626          5.512
  -11.456        -10.786        -10.486        -10.008        -9.359
  -2.691         -1.412         -1.073         -0.606         -0.229
  -2.547         -0.892         -0.498         -0.051         0.457
  -8.605         -7.700         -7.046         -5.137         -3.451
  -5.494         -4.609         -3.968         -3.283         -2.660
  9.424          10.240         10.576         11.402         12.806
  3.360          4.277          5.123          5.850          6.457
  -3.929         -2.118         -1.065         -0.330         1.237
  4.265          4.835          5.739          6.606          7.337
  -5.957         -5.158         -4.352         -3.727         -2.974
  -1.827         -0.436         0.239          0.617          1.653
  4.229          5.089          5.536          6.456          8.017
  -3.272         -0.764         -0.206         0.725          2.633
  -0.372         0.452          2.976          5.817          6.457
  -5.432         -4.985         -4.764         -4.476         -3.771
  2.747          3.746          4.557          4.922          5.607
  -7.794         -6.628         -5.708         -3.200         -0.788
  -0.811         0.115          2.158          2.743          3.482
  -2.317         -1.876         -1.344         -0.376         1.684
  0.971          2.471          3.370          4.297          4.920
  -4.727         -3.684         -3.039         -2.718         -2.095
  3.311          4.298          4.838          5.247          5.765
  0.031          1.961          2.653          3.319          4.349
  1.357          3.112          4.297          5.505          6.325
  -3.094         -1.658         0.224          1.300          1.799
  -2.447         -1.923         -1.150         -0.632         0.008
  -2.225         -1.188         -0.836         -0.599         -0.191
  0.259          0.767          1.018          1.303          1.823
  -0.853         0.053          0.839          1.345          2.199
  9.919          10.520         10.798         11.054         11.428
  6.380          7.343          8.646          9.585          10.388
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  5.232          5.877          6.669          7.113          8.324
  1.340          2.514          3.888          4.547          5.106
  -17.627        -15.830        -14.915        -14.432        -13.833
  -5.504         -3.622         -2.735         -2.298         -1.821
  -0.360         0.189          0.482          1.229          2.930
  -3.882         -3.296         -2.822         -2.215         -1.292
  -3.232         -2.379         -1.940         -1.068         0.082
  -6.557         -5.650         -4.907         -4.581         -3.565
  -7.120         -5.235         -3.156         -2.103         -1.499
  4.217          6.180          6.807          7.162          7.674
  15.181         16.219         17.118         17.539         18.022
  0.103          1.111          1.516          1.943          2.399
  -9.983         -9.291         -8.916         -8.541         -7.750
  -6.513         -5.806         -5.358         -5.006         -4.448
  -3.507         -2.844         -1.568         -0.189         0.508
  -1.721         -0.977         -0.622         0.625          2.206
  4.769          5.302          5.753          6.448          7.194
  -3.445         -2.779         -2.056         -0.347         1.815
  0.134          1.138          3.123          4.441          7.932
  -12.987        -11.283        -10.567        -8.921         -7.576
  -1.145         0.280          0.952          2.254          3.475
  -1.631         -0.908         -0.275         0.431          1.076
  7.973          8.629          8.902          9.274          10.418
  -8.469         -6.423         -4.064         -2.829         -0.375
  2.382          3.214          3.556          4.504          5.356
  -10.550        -8.825         -7.832         -7.096         -6.113
  2.044          2.712          3.108          3.467          4.473
  -2.217         -1.035         -0.609         0.128          1.730
  -6.356         -4.687         -3.465         -2.470         -1.675
  -4.071         -3.641         -3.152         -0.843         1.877
  3.698          5.037          5.581          6.004          7.093
  -4.029         -2.797         -1.410         -0.126         1.536
  1.833          2.720          3.421          4.243          7.627
  2.548          3.324          4.609          5.488          6.641
  -3.532         -2.552         -0.449         -0.017         0.982
  5.319          5.770          6.089          6.382          7.144
  -1.373         -0.046         0.624          0.991          2.136
  1.315          3.116          4.080          4.997          5.470
  0.067          1.117          1.488          2.033          3.251
  1.056          2.232          3.388          4.279          5.004
  -2.049         -1.201         -0.714         0.139          1.136
  -0.919         0.335          0.792          1.314          1.912
  1.797          2.470          2.812          3.370          4.587
  5.065          6.072          7.472          8.493          9.469
  0.135          0.737          1.048          1.431          2.791
  5.347          5.702          5.966          6.573          7.136
  -8.449         -7.551         -6.855         -6.248         -4.404
  -12.234        -10.805        -9.668         -8.638         -7.350
  3.750          4.934          6.343          6.908          8.156
  -3.789         -3.242         -2.659         -1.828         -1.010
  -3.880         -3.243         -2.779         -2.452         -1.602
  4.455          5.750          6.277          6.675          8.530
  4.802          5.871          6.775          7.389          8.038
  -5.494         -4.815         -4.424         -3.658         -2.336
  -1.994         -0.446         0.246          0.975          1.577
  -6.330         -5.882         -5.617         -5.269         -4.164
  -0.676         0.589          1.268          2.398          2.981
  5.147          5.717          6.092          6.516          7.168
  7.209          7.971          8.457          9.122          10.130
  5.883          6.860          7.503          7.834          8.366
  -8.721         -7.729         -7.285         -6.879         -5.913
  -4.142         -3.160         -2.431         -1.268         -0.397
  2.581          3.429          3.792          4.385          6.641
  -4.169         -3.203         -2.355         -1.722         -1.212
  -2.763         -1.958         -1.475         -0.750         0.847
  -8.018         -5.405         -4.484         -3.841         -2.399
  0.446          1.423          1.997          2.392          3.485
  7.629          8.158          8.457          9.079          9.864
  -8.351         -7.558         -4.813         -3.199         -2.033
  7.671          8.738          9.108          9.472          10.272
  2.806          3.379          4.126          4.622          6.091
  3.886          4.219          4.621          6.096          7.752
  0.736          2.557          3.271          3.612          4.768
  -3.014         -1.686         -1.149         -0.642         0.569
  -6.047         -4.925         -4.008         -3.544         -2.970
  -11.264        -10.525        -10.088        -8.490         -5.439
  -9.077         -8.230         -7.602         -7.208         -5.748
  -6.040         -5.530         -5.180         -4.672         -3.874
  1.854          2.956          4.462          5.472          6.816
  2.067          3.015          4.234          5.523          6.481
  -10.921        -10.351        -9.773         -8.813         -6.739
  -6.798         -5.545         -4.315         -3.803         -3.066
  -10.454        -6.869         -5.322         -4.766         -3.482
  -0.269         0.369          0.725          1.114          2.359
  8.925          9.384          9.822          10.451         11.756
  1.298          2.430          3.691          5.747          6.761
  0.012          1.390          2.464          2.932          3.761
  -2.855         -2.227         -1.889         -1.299         -0.636
  -5.567         -4.624         -3.939         -3.360         -2.157
  -4.265         -3.428         -2.958         -2.666         -1.728
  -3.315         -2.735         -2.475         -2.026         -1.160
  -1.248         -0.202         0.245          1.000          2.061
  -4.100         -2.998         -2.507         -1.694         -0.957
  -1.018         0.364          0.888          1.472          2.446
  5.841          7.225          7.888          9.181          10.593
  0.575          1.730          2.152          2.873          3.963
  1.648          2.618          3.165          3.698          4.405
  6.657          7.654          8.017          8.459          9.211
  -4.043         -2.740         -1.485         0.025          0.453
  0.622          1.786          2.974          3.932          5.260
  2.768          4.211          4.682          5.485          7.127
  -1.784         -0.815         -0.392         0.105          0.996
  -4.790         -3.807         -3.092         -1.724         -0.808
  5.420          6.273          6.852          8.013          8.906
  2.309          3.425          4.718          5.298          6.045
  -4.257         -3.171         -2.657         -1.028         -0.667
  3.839          4.417          4.795          5.371          6.959
  -1.866         -1.248         -0.689         0.464          1.785
  -0.862         -0.145         0.458          1.021          1.462
  9.029          9.725          10.361         10.807         11.652
  -17.299        -15.799        -15.349        -15.128        -14.695
  -6.240         -5.778         -4.589         -2.908         -1.797
  0.303          1.056          1.707          2.338          4.307
  5.989          7.010          7.536          8.168          9.755
  -1.891         -0.770         -0.356         0.077          0.559
  -2.311         -0.594         0.316          0.784          1.818
  -2.238         -1.392         -0.748         -0.481         0.963
  1.516          1.951          2.476          3.179          4.661
  1.238          1.710          2.143          2.916          4.293
  -6.404         -4.812         -3.747         -3.285         -2.835
  -0.244         0.520          0.806          1.246          2.163
  -0.491         0.367          0.760          1.073          1.686
  -8.323         -7.398         -7.049         -6.646         -5.796
  -9.937         -9.065         -8.061         -7.313         -6.774
  -3.784         -3.086         -2.780         -2.357         -1.905
  -5.157         -3.797         -0.637         1.591          2.967
  0.683          1.803          2.232          2.813          3.456
  5.914          6.479          7.137          7.727          8.223
  -4.306         -3.440         -2.916         -2.385         -1.736
  -6.121         -5.639         -5.214         -4.872         -3.812
  -2.781         -2.450         -2.025         -1.625         -0.958
  2.336          3.035          3.619          4.422          5.396
  4.802          6.439          7.440          8.144          10.139
  -4.716         -4.160         -3.733         -2.960         -2.276
  1.594          2.648          3.907          4.438          4.980
  -5.864         -5.209         -4.252         -2.009         -0.422
  -4.404         -2.581         -1.039         -0.104         1.330
  7.985          9.124          10.177         10.786         11.697
  -0.734         0.353          1.408          2.927          3.614
  -8.469         -7.410         -6.874         -6.216         -5.581
  -2.792         -1.384         -0.913         -0.152         2.217
  -3.425         -2.885         -2.484         -2.080         -1.516
  -4.784         -3.637         -3.164         -2.441         -1.531
  -6.300         -5.690         -5.270         -4.536         -3.494
  -2.560         -1.485         -1.246         -0.925         -0.372
  -4.163         -1.971         -1.254         -0.859         0.184
  -7.102         -6.364         -5.634         -5.275         -4.674
  3.663          4.727          5.342          6.129          7.053
  -2.817         -1.941         -1.517         -1.019         -0.248
  -0.174         1.639          2.219          2.825          3.601
  -1.067         -0.314         0.787          1.636          2.369
  2.920          5.258          5.964          6.498          7.208
  0.838          1.360          2.059          2.667          3.393
  -2.203         -0.429         0.238          0.594          1.279
  -7.909         -6.244         -5.374         -4.265         -2.736
  10.688         11.304         11.623         11.975         12.533
  1.207          1.980          2.385          2.800          3.582
  3.557          4.598          5.060          5.658          6.413
  -6.514         -5.266         -5.004         -4.672         -4.256
  8.682          9.421          10.207         11.817         12.974
  2.618          3.662          4.649          5.469          6.454
  -5.909         -5.449         -5.200         -4.944         -4.192
  -6.437         -5.497         -4.796         -2.890         -1.527
  -5.879         -4.072         -2.409         -1.848         -0.831
  -0.879         1.696          2.455          2.865          4.875
  5.585          6.982          7.435          7.670          8.206
  -0.760         -0.244         0.434          0.807          1.436
  -0.908         -0.221         0.186          0.552          1.176
  -5.800         -5.279         -4.870         -4.426         -3.300
  -3.236         -0.748         0.197          1.303          2.496
  0.620          1.776          2.586          2.899          3.566
  6.274          7.281          8.193          9.432          10.480
  -5.252         -3.570         -2.826         -1.004         0.665
  -8.286         -5.465         -4.865         -4.383         -3.545
  -14.813        -12.813        -11.784        -10.889        -10.359
  -8.767         -7.178         -6.715         -5.969         -4.483
  -1.966         -1.417         -1.150         -0.659         0.041
  2.101          3.047          3.458          3.871          4.722
  -0.450         1.396          2.991          3.544          4.160
  1.400          2.021          2.628          3.237          3.841
  -0.210         0.774          1.227          1.810          2.533
  2.130          2.753          5.947          6.751          7.764
  1.599          2.538          3.691          4.390          5.430
  -3.472         -2.847         -2.316         -1.773         -0.367
  -7.500         -6.715         -5.312         -3.599         -2.050
  -5.294         -4.601         -3.534         -2.969         -1.052
  -2.589         -1.675         -0.489         0.511          2.132
  -1.300         0.863          2.940          4.476          5.840
  -2.691         -1.160         0.535          1.321          2.567
  -4.296         -3.463         -3.098         -2.632         -1.597
  -7.501         -6.892         -6.356         -5.936         -5.336
  -5.725         -4.780         -3.923         -3.294         -2.810
  1.018          1.609          2.050          2.312          2.826
  -3.701         -3.203         -2.658         -1.672         -0.210
  0.025          2.955          5.856          7.551          8.454
  -10.783        -9.974         -8.907         -8.432         -7.273
  4.645          5.247          5.643          6.757          7.854
  -6.462         -5.636         -5.168         -4.812         -3.492
  -2.865         -2.227         -1.602         -0.764         0.544
  0.512          1.558          1.860          2.270          2.962
  5.316          6.022          6.517          7.071          7.591
  3.229          3.639          3.992          4.377          4.892
  1.061          3.859          5.479          6.201          7.011
  -7.137         -4.991         -4.169         -3.597         -2.692
  5.111          5.862          6.809          7.130          7.646
  -10.001        -8.917         -8.333         -7.736         -5.944
  -14.615        -14.148        -12.560        -11.599        -10.300
  -12.402        -11.851        -11.146        -10.512        -9.354
  -2.679         -1.507         0.585          1.444          2.141
  -8.470         -7.669         -4.564         -3.316         -2.579
  -7.641         -6.451         -5.168         -4.139         -3.600
  -8.422         -5.504         -3.143         -2.068         -1.314
  -4.437         -3.535         -2.703         -1.961         -1.499
  -3.472         -2.020         -0.409         0.646          1.374
  -0.335         1.332          1.916          2.933          5.312
  -7.132         -6.224         -5.595         -4.601         -2.482
  -3.041         -1.554         -0.412         0.088          0.624
  13.367         13.958         14.669         15.507         16.162
  -3.960         -3.402         -3.055         -2.556         -2.003
  -2.448         -1.094         0.110          0.785          1.339
  -4.685         -3.529         -2.895         -2.461         -2.019
  -0.582         0.513          2.030          3.026          4.444
  2.398          3.736          4.640          5.086          5.803
  5.557          6.652          7.064          7.525          8.056
  -1.891         -0.434         0.081          1.738          2.770
  -2.853         0.409          1.228          1.728          3.060
  -3.464         -2.513         -2.125         -1.490         0.121
  -8.789         -8.109         -6.567         -5.074         -3.053
  -3.703         -2.566         -0.642         0.517          1.618
  0.074          0.711          1.689          2.357          3.802
  -11.999        -11.103        -10.050        -9.026         -8.039
  -7.570         -6.723         -6.185         -5.107         -4.097
  0.336          4.511          6.524          7.502          8.053
  -8.192         -6.969         -6.481         -6.058         -5.261
  -15.625        -14.494        -13.682        -12.969        -9.459
  6.859          7.415          7.966          8.683          9.336
  3.143          4.494          5.631          6.274          7.046
  -2.341         -1.625         -1.035         -0.496         0.394
  -7.124         -6.450         -6.032         -5.370         -4.169
  -9.530         -8.933         -8.549         -7.700         -7.218
  6.886          7.488          7.958          8.610          9.568
  -4.692         -3.674         -2.854         -2.397         -1.186
  11.742         12.304         14.364         15.241         16.093
  3.553          4.132          4.400          4.842          6.373
  2.730          3.477          4.293          5.320          5.691
  -7.212         -6.216         -5.600         -4.989         -3.885
  -0.663         0.756          1.364          1.623          2.252
  -7.519         -6.400         -5.990         -5.346         -4.642
  -2.317         -1.477         -0.821         1.430          2.366
  -6.695         -5.987         -4.801         -3.745         -2.753
  -6.396         -5.248         -3.552         -2.017         -0.937
  -7.382         -6.015         -5.332         -4.623         -3.724
  -3.729         -2.207         -1.704         -1.337         -0.696
  2.977          5.940          6.378          6.888          7.677
  -5.397         -5.001         -4.716         -4.243         -2.837
  3.737          4.746          5.132          5.390          5.921
  -0.525         0.595          0.962          1.393          1.997
  -2.109         -0.699         0.469          1.284          2.227
  -6.981         -6.034         -5.213         -4.582         -2.877
  -2.140         -0.104         0.877          2.168          3.261
  -1.352         -0.698         -0.263         0.357          0.957
  5.610          6.333          6.763          7.785          9.017
  -0.175         0.849          1.809          2.351          3.836
  -4.502         -3.902         -3.345         -2.982         -2.088
  2.505          3.479          4.147          6.219          7.392
  3.829          4.440          4.741          5.103          6.283
  -7.456         -6.481         -5.907         -5.159         -4.060
  -11.555        -9.850         -8.475         -7.857         -5.358
  -5.166         -3.522         -2.644         -2.084         -1.586
  -3.803         -3.109         -2.042         -1.363         -0.465
  0.336          1.493          2.201          2.981          4.149
  -5.873         -5.126         -4.566         -3.765         -2.680
  -2.865         -2.163         -0.423         1.123          2.317
  0.071          1.051          1.562          1.889          2.565
  -1.531         -0.676         0.052          0.806          1.558
  -5.012         -2.988         -1.231         0.235          0.943
  -8.316         -7.031         -6.208         -5.677         -4.480
  -9.948         -9.119         -7.951         -6.533         -5.290
  -5.559         -4.781         -4.010         -2.758         -2.098
  1.322          2.523          3.047          3.598          4.186
  -0.248         1.063          1.734          2.250          2.799
  -13.568        -12.710        -10.982        -9.236         -7.028
  -7.080         -5.482         -4.842         -4.421         -3.241
  -5.793         -5.075         -4.775         -4.468         -3.780
  1.739          3.929          5.852          7.761          8.741
  3.263          4.200          4.556          5.519          7.153
  -3.110         -2.548         -2.141         -1.606         -0.949
  0.431          1.098          2.200          3.406          4.140
  -4.594         -3.614         -1.190         -0.698         0.720
  -9.310         -8.651         -8.374         -7.951         -5.661
  -4.404         -2.640         -1.297         -0.404         1.575
  -8.084         -6.653         -5.309         -4.801         -4.150
  -1.611         -1.226         -0.728         0.185          0.867
  1.233          1.810          3.432          4.004          4.753
  12.954         13.834         14.226         15.151         15.773
  -4.622         -3.718         -3.065         -0.129         0.613
  -11.973        -9.537         -7.891         -7.219         -6.636
  -0.556         0.265          0.980          2.604          3.094
  -2.739         -1.875         -1.451         -0.749         0.012
  2.687          3.974          4.536          4.981          6.500
  7.262          7.858          8.307          8.629          9.326
  3.457          4.546          5.624          6.756          8.563
  2.828          3.403          5.103          6.449          7.411
  1.814          2.451          3.040          3.613          4.067
  1.861          3.337          5.264          6.078          6.722
  -0.484         1.257          1.541          1.972          3.554
  -8.519         -7.570         -6.860         -6.136         -4.186
  -4.387         -2.839         -2.319         -1.160         -0.121
  -3.938         -2.973         -2.073         -1.217         -0.356
  4.525          5.337          5.749          6.013          6.498
  -6.362         -5.912         -4.878         -4.334         -3.976
  -3.908         -3.096         -2.786         -2.475         -1.638
  -2.205         -1.639         -1.081         0.181          0.796
  -0.738         0.343          1.011          1.422          2.643
  5.588          7.322          7.916          9.093          10.453
  -3.866         -2.996         -2.234         -1.689         -1.013
  -4.415         -3.678         -3.126         -2.068         -0.807
  -13.408        -10.134        -7.935         -5.803         -3.628
  -2.435         -1.888         -0.708         -0.003         1.004
  -5.345         -4.119         -1.830         0.636          1.862
  2.546          3.336          4.195          5.123          6.142
  -1.118         -0.600         -0.283         0.286          0.882
  0.255          1.233          1.797          2.646          4.780
  1.948          2.938          3.373          4.172          5.204
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  -0.731         0.119          0.609          0.909          1.976
  -1.076         0.471          1.786          2.682          3.444
  3.261          3.870          5.728          7.103          8.138
  6.435          7.789          8.336          8.805          9.199
  2.077          2.910          3.749          4.373          5.308
  2.041          2.947          3.759          4.607          5.481
  -1.197         -0.683         0.027          0.581          2.824
  -0.584         0.389          0.815          1.514          2.952
  -10.076        -9.014         -7.917         -6.327         -5.528
  1.536          2.843          3.334          3.840          4.559
  1.369          2.576          5.036          5.596          6.613
  6.696          7.356          7.708          8.037          8.703
  -12.418        -11.739        -11.239        -10.897        -10.204
  -9.779         -9.210         -8.788         -7.887         -6.177
  -5.643         -5.015         -4.615         -4.104         -3.269
  -9.453         -7.773         -6.057         -5.485         -4.640
  3.242          3.761          4.047          4.626          5.804
  1.937          2.994          3.421          3.876          4.290
  6.021          7.149          8.337          9.917          12.401
  0.362          1.267          1.956          2.891          3.862
  -11.508        -10.727        -10.362        -9.448         -6.681
  4.033          4.835          5.445          5.800          6.310
  -3.912         -2.649         -1.261         -0.121         0.804
  -6.478         -5.802         -5.031         -4.305         -3.307
  -1.514         -0.731         -0.060         0.530          2.459
  3.195          3.663          4.163          4.821          5.559
  -0.096         1.148          1.754          2.209          2.738
  0.052          0.685          1.038          1.309          1.927
  7.133          9.263          10.202         11.006         12.152
  -2.836         -2.365         -1.841         -1.339         -0.906
  -3.068         -2.615         -1.631         -0.878         0.517
  0.648          1.333          2.089          3.142          3.696
  -0.793         0.099          0.782          1.274          1.849
  -3.547         -2.418         -1.041         -0.077         1.413
  7.275          7.957          8.557          10.084         11.616
  -6.990         -6.046         -5.430         -5.166         -4.087
  -5.045         -4.112         -3.121         -2.717         -1.388
  -13.505        -12.963        -12.079        -11.247        -9.720
  4.841          5.727          6.549          7.133          7.675
  -1.701         -0.852         0.656          3.116          3.995
  5.699          7.103          8.004          8.320          8.955
  -7.425         -5.389         -3.633         -2.794         -1.669
  7.186          9.473          10.110         10.829         15.067
  -0.255         2.026          2.381          2.664          3.564
  -4.252         -3.575         -2.856         -2.561         -2.065
  -9.739         -9.117         -8.759         -8.302         -7.451
  1.324          1.804          2.425          3.172          3.899
  -1.686         -0.845         0.320          1.237          2.118
  -6.668         -5.600         -5.071         -4.534         -2.786
  -7.380         -5.705         -5.195         -4.623         -4.042
  -1.902         -1.503         -1.182         -0.886         -0.117
  -5.869         -5.261         -4.148         -1.925         -0.243
  4.844          5.928          6.285          7.041          8.633
  -5.250         -4.118         -2.602         -1.945         -1.083
  6.555          8.053          8.416          8.752          9.921
  -0.350         0.577          1.030          1.420          1.969
  -3.993         -2.813         -1.949         -1.185         -0.208
  8.645          9.149          9.567          10.103         10.581
  3.406          4.725          5.717          6.423          7.476
  -1.926         -1.117         -0.480         0.314          1.681
  -0.182         1.629          2.564          3.899          5.109
  -4.779         -3.903         -2.485         -1.921         -1.180
  -6.585         -5.741         -5.285         -4.523         -3.852
  5.754          6.502          6.967          7.459          7.980
  3.906          5.647          6.342          6.882          7.449
  -6.946         -6.339         -5.510         -3.051         -1.391
  3.454          4.502          5.274          6.305          7.471
  -6.420         -5.908         -5.303         -4.813         -4.126
  -8.278         -6.109         -3.445         -2.367         -1.056
  0.634          1.384          1.957          2.519          3.318
  0.656          2.112          2.915          3.328          4.868
  -6.600         -6.256         -5.928         -5.096         -4.316
  -2.645         1.107          5.044          5.638          7.380
  -2.638         -2.163         -1.605         -0.633         0.408
  -8.327         -7.705         -6.254         -5.540         -4.917
  -6.297         -5.691         -4.975         -3.945         -3.263
  7.501          7.951          8.496          9.319          10.812
  -1.728         -1.204         -0.802         -0.428         0.141
  -8.789         -7.879         -6.530         -5.120         -4.324
  -15.788        -15.218        -14.617        -13.836        -13.010
  -8.711         -7.434         -6.323         -5.319         -4.172
  -0.248         0.132          0.501          0.902          1.891
  9.591          10.100         10.690         11.247         11.874
  -8.425         -6.894         -6.036         -5.477         -4.401
  -10.203        -6.912         -5.747         -4.988         -2.983
  -4.303         -3.794         -3.380         -2.865         -2.141
  -0.551         1.504          2.040          2.716          3.807
  7.288          7.957          8.409          8.997          10.668
  -7.118         -5.181         -3.544         -2.883         -2.112
  12.428         13.062         13.686         14.416         15.192
  -11.922        -10.006        -9.267         -8.154         -4.248
  -6.050         -4.828         -4.092         -3.550         -2.778
  -11.644        -10.933        -9.502         -7.146         -4.977
  -1.829         -1.183         -0.591         0.242          0.672
  -0.900         0.035          0.866          2.015          4.558
  -12.494        -11.959        -11.492        -10.986        -10.196
  -4.207         -3.629         -3.230         -2.819         -2.490
  2.911          5.192          5.600          6.475          7.783
  1.464          2.127          4.485          5.333          6.243
  -5.368         -4.991         -4.502         -3.940         -1.926
  0.696          1.167          1.486          1.816          2.764
  2.850          3.476          4.133          4.639          5.847
  -9.368         -7.600         -6.260         -5.229         -4.534
  8.757          9.909          10.512         11.525         12.535
  5.203          7.030          7.452          8.049          8.500
  -0.543         0.756          1.516          2.316          3.146
  1.766          3.117          3.881          4.351          5.244
  3.270          3.927          4.693          5.200          5.658
  0.823          1.533          2.668          3.167          4.419
  -0.293         0.594          1.338          2.446          3.641
  -5.174         -4.182         -3.761         -3.032         -0.371
  -0.365         0.663          1.561          2.282          4.003
  -6.699         -5.875         -4.921         -4.340         -2.840
  -8.394         -6.987         -2.577         -1.396         -0.662
  2.185          3.042          3.528          4.320          5.066
  -3.009         -1.788         -0.126         0.779          1.615
  -6.148         -5.106         -3.494         -2.214         -1.501
  -7.846         -6.751         -6.171         -3.385         -1.618
  -2.963         -2.476         -1.816         -1.013         -0.006
  1.233          2.039          2.666          3.336          4.318
  -3.877         -2.801         -2.248         -1.774         -0.581
  1.701          2.370          2.835          3.279          3.880
  0.173          1.827          2.588          3.264          4.599
  -5.936         -4.668         -2.851         -1.200         -0.166
  3.772          4.795          6.115          8.652          9.768
  2.707          4.253          6.729          7.839          9.420
  1.202          2.584          3.415          4.118          5.157
  -1.810         -0.662         -0.179         0.054          1.086
  0.847          2.816          3.592          3.928          4.336
  -7.373         -5.754         -4.847         -4.243         -2.274
  5.794          6.334          6.661          7.218          8.114
  -2.582         -1.333         -0.610         0.430          1.707
  -0.984         0.727          1.363          1.998          3.325
  -0.393         0.718          1.252          1.616          2.633
  -2.230         -1.536         -1.166         -0.892         -0.370
  0.581          1.490          2.145          2.916          4.253
  -6.201         -5.346         -4.797         -3.077         -1.530
  -0.167         0.573          2.330          4.347          5.333
  2.842          3.429          4.075          4.618          5.261
  0.729          2.336          4.716          6.017          6.950
  -4.323         -3.111         -2.030         -1.397         -0.035
  -2.162         -1.126         0.549          2.336          3.633
  -2.731         -0.503         0.245          0.818          1.840
  -3.756         -3.262         -0.738         0.221          1.004
  3.231          4.349          4.615          5.173          5.700
  -4.535         -3.791         -3.380         -2.922         -1.823
  -3.596         -2.800         -2.450         -1.880         -1.241
  16.742         17.713         18.535         19.043         19.823
  6.002          7.704          8.722          9.460          10.223
  -6.041         -5.459         -5.100         -4.552         -3.293
  5.177          6.958          8.138          8.911          10.251
  -3.965         -2.838         -1.979         -1.488         -0.889
  -3.749         -2.859         -2.460         -1.769         -0.603
  -5.520         -4.724         -4.198         -3.515         -2.164
  -0.874         0.096          0.869          1.886          2.472
  -9.690         -8.070         -7.346         -6.108         -5.478
  4.270          5.098          7.313          7.643          9.058
  -2.868         -1.802         -0.048         1.076          2.960
  2.665          3.846          4.773          6.258          7.721
  -9.064         -7.872         -7.025         -6.045         -2.530
  1.867          2.892          3.409          3.973          4.875
  3.259          3.795          4.032          4.259          4.878
  -7.442         -6.502         -5.639         -5.030         -4.346
  4.451          5.016          5.524          6.231          7.751
  -10.066        -9.248         -8.814         -7.977         -7.283
  -1.652         -0.330         0.275          0.711          1.502
  -2.526         -1.774         -1.272         -0.735         0.697
  3.634          4.395          5.848          6.858          7.663
  -1.028         -0.118         0.326          0.996          2.127
  3.890          4.886          5.628          7.709          8.760
  -0.099         0.311          0.949          1.372          1.837
  -6.704         -4.883         -4.278         -3.559         -1.594
  -6.191         -5.633         -5.213         -4.621         -4.059
  -4.162         -2.712         -2.175         -1.672         -0.953
  -6.011         -5.409         -4.572         -3.946         -3.262
  -0.800         0.150          1.710          2.338          3.880
  -3.348         -2.566         -2.006         -1.248         -0.427
  -5.781         -4.742         -3.786         -3.496         -2.864
  -1.233         -0.539         -0.301         0.085          1.349
  -1.630         -1.020         -0.528         0.110          1.042
  -7.431         -6.088         -5.510         -5.055         -4.387
  -5.401         -4.185         -3.724         -3.381         -2.813
  3.840          4.567          5.551          5.849          6.514
  -4.788         -3.385         -2.620         -2.129         -1.168
  -3.445         -2.329         -1.592         -1.229         -0.678
  -2.390         -1.892         -1.410         -0.988         -0.584