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@nicoguaro
Last active July 12, 2024 01:59
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Tecplot utilities.
# Rainbow Desaturated colormap
0 0.278431 0.278431 0.858824
0.143 0 0 0.360784
0.285 0 1 1
0.429 0 0.501961 0
0.571 1 1 0
0.714 1 0.380392 0
0.857 0.419608 0 0
1 0.878431 0.301961 0.301961
#!MC 1410
$!CREATECOLORMAP
NAME = 'Rainbow Desaturated'
NUMCONTROLPOINTS = 8
CONTROLPOINT 1
{
COLORMAPFRACTION = 0.000000
LEADRGB
{
R = 70
G = 70
B = 219
}
TRAILRGB
{
R = 70
G = 70
B = 219
}
}
CONTROLPOINT 2
{
COLORMAPFRACTION = 0.143000
LEADRGB
{
R = 0
G = 0
B = 91
}
TRAILRGB
{
R = 0
G = 0
B = 91
}
}
CONTROLPOINT 3
{
COLORMAPFRACTION = 0.285000
LEADRGB
{
R = 0
G = 255
B = 255
}
TRAILRGB
{
R = 0
G = 255
B = 255
}
}
CONTROLPOINT 4
{
COLORMAPFRACTION = 0.429000
LEADRGB
{
R = 0
G = 128
B = 0
}
TRAILRGB
{
R = 0
G = 128
B = 0
}
}
CONTROLPOINT 5
{
COLORMAPFRACTION = 0.571000
LEADRGB
{
R = 255
G = 255
B = 0
}
TRAILRGB
{
R = 255
G = 255
B = 0
}
}
CONTROLPOINT 6
{
COLORMAPFRACTION = 0.714000
LEADRGB
{
R = 255
G = 96
B = 0
}
TRAILRGB
{
R = 255
G = 96
B = 0
}
}
CONTROLPOINT 7
{
COLORMAPFRACTION = 0.857000
LEADRGB
{
R = 107
G = 0
B = 0
}
TRAILRGB
{
R = 107
G = 0
B = 0
}
}
CONTROLPOINT 8
{
COLORMAPFRACTION = 1.000000
LEADRGB
{
R = 223
G = 77
B = 77
}
TRAILRGB
{
R = 223
G = 77
B = 77
}
}
#!MC 1410
# Equations for stress analysis in Tecplot.
#
# Stress invariants
$!ALTERDATA
EQUATION = '{I1} = {XX Stress} + {YY Stress} + {ZZ Stress}'
$!ALTERDATA
EQUATION = '{I2} = {XX Stress}*{YY Stress} + {YY Stress}*{ZZ Stress} + {ZZ Stress}*{XX Stress} - {XY Stress}**2 - {YZ Stress}**2 - {ZX Stress}**2'
$!ALTERDATA
EQUATION = '{I3} = {XX Stress}*{YY Stress} *{ZZ Stress} + 2* {XY Stress}*{YZ Stress}*{ZX Stress} - {XX Stress}*{YZ Stress}**2 - {YY Stress}*{ZX Stress}**2 - {ZZ Stress}*{XY Stress}**2'
# Hydrostratic stress
$!ALTERDATA
EQUATION = '{P} = {I1}/3'
# Deviatoric stress invariants
$!ALTERDATA
EQUATION = '{J2} = 1/3.*{I1}**2 - {I2}'
$!ALTERDATA
EQUATION = '{J3} = 2/27.*{I1}**3 - 1/3.*{I1}*{I2} + {I3}'
# von Mises Stress
$!ALTERDATA
EQUATION = '{Sv} = sqrt(3*{J2})'
# Principal stress auxiliar variables
$!ALTERDATA
EQUATION = '{Q} = 1/9.*({I1}**2 -3*{I2})'
$!ALTERDATA
EQUATION = '{R} = 1/54.*(-2*{I1}**3 + 9*{I1}*{I2} - 27*{I3})'
$!ALTERDATA
EQUATION = '{Th} = acos({R}/sqrt({Q}**3))'
# Principal stresses
$!ALTERDATA
EQUATION = '{S1} = 1/3.*{I1} - 2*sqrt({Q})*cos({Th}/3)'
$!ALTERDATA
EQUATION = '{S2} = 1/3.*{I1} - 2*sqrt({Q})*cos({Th}/3 - 2*pi/3)'
$!ALTERDATA
EQUATION = '{S3} = 1/3.*{I1} - 2*sqrt({Q})*cos({Th}/3 + 2*pi/3)'
# -*- coding: utf-8 -*-
"""
Convert colormaps to Tecplot format
"""
import numpy as np
def data_2_tecplotmap(data, fout_name, cmap_name):
"""Convert a colormap in a table to Tecplot format
The data table has four columns (val, r, g, b), all respresented
as floating points.
"""
npts = data.shape[0]
fout = open(fout_name, "w")
name = cmap_name
header ="""#!MC 1410
$!CREATECOLORMAP
NAME = '%s'
NUMCONTROLPOINTS = %i""" % (name, npts)
pt_template = """
CONTROLPOINT %i
{
COLORMAPFRACTION = %f
LEADRGB
{
R = %i
G = %i
B = %i
}
TRAILRGB
{
R = %i
G = %i
B = %i
}
}"""
fout.write(header)
for num in range(npts):
R = int(255*data[num, 1])
G = int(255*data[num, 2])
B = int(255*data[num, 3])
pt = pt_template % (num + 1, data[num, 0], R, G, B, R, G, B)
fout.write(pt)
fout.close()
#%% Example with Rainbow Desaturated colormap
fname = "rainbow_desaturated.txt"
data = np.loadtxt(fname)
fout_name = "rainbow_desaturated.map"
cmap_name = "Rainbow Desaturated"
data_2_tecplotmap(data, fout_name, cmap_name)
#!MC 1410
$!CREATECOLORMAP
NAME = 'Sequential - Viridis'
NUMCONTROLPOINTS = 32
CONTROLPOINT 1
{
COLORMAPFRACTION = 0.000000
LEADRGB
{
R = 68
G = 1
B = 84
}
TRAILRGB
{
R = 68
G = 1
B = 84
}
}
CONTROLPOINT 2
{
COLORMAPFRACTION = 0.031373
LEADRGB
{
R = 70
G = 12
B = 95
}
TRAILRGB
{
R = 70
G = 12
B = 95
}
}
CONTROLPOINT 3
{
COLORMAPFRACTION = 0.062745
LEADRGB
{
R = 71
G = 24
B = 106
}
TRAILRGB
{
R = 71
G = 24
B = 106
}
}
CONTROLPOINT 4
{
COLORMAPFRACTION = 0.094118
LEADRGB
{
R = 72
G = 34
B = 115
}
TRAILRGB
{
R = 72
G = 34
B = 115
}
}
CONTROLPOINT 5
{
COLORMAPFRACTION = 0.125490
LEADRGB
{
R = 71
G = 44
B = 123
}
TRAILRGB
{
R = 71
G = 44
B = 123
}
}
CONTROLPOINT 6
{
COLORMAPFRACTION = 0.156863
LEADRGB
{
R = 69
G = 54
B = 129
}
TRAILRGB
{
R = 69
G = 54
B = 129
}
}
CONTROLPOINT 7
{
COLORMAPFRACTION = 0.188235
LEADRGB
{
R = 66
G = 64
B = 133
}
TRAILRGB
{
R = 66
G = 64
B = 133
}
}
CONTROLPOINT 8
{
COLORMAPFRACTION = 0.219608
LEADRGB
{
R = 62
G = 73
B = 137
}
TRAILRGB
{
R = 62
G = 73
B = 137
}
}
CONTROLPOINT 9
{
COLORMAPFRACTION = 0.250980
LEADRGB
{
R = 58
G = 82
B = 139
}
TRAILRGB
{
R = 58
G = 82
B = 139
}
}
CONTROLPOINT 10
{
COLORMAPFRACTION = 0.282353
LEADRGB
{
R = 54
G = 90
B = 140
}
TRAILRGB
{
R = 54
G = 90
B = 140
}
}
CONTROLPOINT 11
{
COLORMAPFRACTION = 0.313725
LEADRGB
{
R = 50
G = 98
B = 141
}
TRAILRGB
{
R = 50
G = 98
B = 141
}
}
CONTROLPOINT 12
{
COLORMAPFRACTION = 0.345098
LEADRGB
{
R = 47
G = 106
B = 141
}
TRAILRGB
{
R = 47
G = 106
B = 141
}
}
CONTROLPOINT 13
{
COLORMAPFRACTION = 0.376471
LEADRGB
{
R = 44
G = 114
B = 142
}
TRAILRGB
{
R = 44
G = 114
B = 142
}
}
CONTROLPOINT 14
{
COLORMAPFRACTION = 0.407843
LEADRGB
{
R = 40
G = 122
B = 142
}
TRAILRGB
{
R = 40
G = 122
B = 142
}
}
CONTROLPOINT 15
{
COLORMAPFRACTION = 0.439216
LEADRGB
{
R = 38
G = 129
B = 142
}
TRAILRGB
{
R = 38
G = 129
B = 142
}
}
CONTROLPOINT 16
{
COLORMAPFRACTION = 0.470588
LEADRGB
{
R = 35
G = 137
B = 141
}
TRAILRGB
{
R = 35
G = 137
B = 141
}
}
CONTROLPOINT 17
{
COLORMAPFRACTION = 0.501961
LEADRGB
{
R = 32
G = 144
B = 140
}
TRAILRGB
{
R = 32
G = 144
B = 140
}
}
CONTROLPOINT 18
{
COLORMAPFRACTION = 0.533333
LEADRGB
{
R = 30
G = 152
B = 138
}
TRAILRGB
{
R = 30
G = 152
B = 138
}
}
CONTROLPOINT 19
{
COLORMAPFRACTION = 0.564706
LEADRGB
{
R = 30
G = 159
B = 136
}
TRAILRGB
{
R = 30
G = 159
B = 136
}
}
CONTROLPOINT 20
{
COLORMAPFRACTION = 0.596078
LEADRGB
{
R = 33
G = 167
B = 132
}
TRAILRGB
{
R = 33
G = 167
B = 132
}
}
CONTROLPOINT 21
{
COLORMAPFRACTION = 0.627451
LEADRGB
{
R = 40
G = 174
B = 127
}
TRAILRGB
{
R = 40
G = 174
B = 127
}
}
CONTROLPOINT 22
{
COLORMAPFRACTION = 0.658824
LEADRGB
{
R = 50
G = 181
B = 122
}
TRAILRGB
{
R = 50
G = 181
B = 122
}
}
CONTROLPOINT 23
{
COLORMAPFRACTION = 0.690196
LEADRGB
{
R = 62
G = 188
B = 115
}
TRAILRGB
{
R = 62
G = 188
B = 115
}
}
CONTROLPOINT 24
{
COLORMAPFRACTION = 0.721569
LEADRGB
{
R = 77
G = 194
B = 107
}
TRAILRGB
{
R = 77
G = 194
B = 107
}
}
CONTROLPOINT 25
{
COLORMAPFRACTION = 0.752941
LEADRGB
{
R = 94
G = 201
B = 97
}
TRAILRGB
{
R = 94
G = 201
B = 97
}
}
CONTROLPOINT 26
{
COLORMAPFRACTION = 0.784314
LEADRGB
{
R = 112
G = 206
B = 86
}
TRAILRGB
{
R = 112
G = 206
B = 86
}
}
CONTROLPOINT 27
{
COLORMAPFRACTION = 0.815686
LEADRGB
{
R = 131
G = 211
B = 75
}
TRAILRGB
{
R = 131
G = 211
B = 75
}
}
CONTROLPOINT 28
{
COLORMAPFRACTION = 0.847059
LEADRGB
{
R = 151
G = 216
B = 62
}
TRAILRGB
{
R = 151
G = 216
B = 62
}
}
CONTROLPOINT 29
{
COLORMAPFRACTION = 0.878431
LEADRGB
{
R = 173
G = 220
B = 48
}
TRAILRGB
{
R = 173
G = 220
B = 48
}
}
CONTROLPOINT 30
{
COLORMAPFRACTION = 0.909804
LEADRGB
{
R = 194
G = 223
B = 34
}
TRAILRGB
{
R = 194
G = 223
B = 34
}
}
CONTROLPOINT 31
{
COLORMAPFRACTION = 0.941176
LEADRGB
{
R = 215
G = 226
B = 25
}
TRAILRGB
{
R = 215
G = 226
B = 25
}
}
CONTROLPOINT 32
{
COLORMAPFRACTION = 0.972549
LEADRGB
{
R = 236
G = 228
B = 26
}
TRAILRGB
{
R = 236
G = 228
B = 26
}
}
# Viridis colormap in text format
0.000000 0.267004 0.004874 0.329415
0.003922 0.268510 0.009605 0.335427
0.007843 0.269944 0.014625 0.341379
0.011765 0.271305 0.019942 0.347269
0.015686 0.272594 0.025563 0.353093
0.019608 0.273809 0.031497 0.358853
0.023529 0.274952 0.037752 0.364543
0.027451 0.276022 0.044167 0.370164
0.031373 0.277018 0.050344 0.375715
0.035294 0.277941 0.056324 0.381191
0.039216 0.278791 0.062145 0.386592
0.043137 0.279566 0.067836 0.391917
0.047059 0.280267 0.073417 0.397163
0.050980 0.280894 0.078907 0.402329
0.054902 0.281446 0.084320 0.407414
0.058824 0.281924 0.089666 0.412415
0.062745 0.282327 0.094955 0.417331
0.066667 0.282656 0.100196 0.422160
0.070588 0.282910 0.105393 0.426902
0.074510 0.283091 0.110553 0.431554
0.078431 0.283197 0.115680 0.436115
0.082353 0.283229 0.120777 0.440584
0.086275 0.283187 0.125848 0.444960
0.090196 0.283072 0.130895 0.449241
0.094118 0.282884 0.135920 0.453427
0.098039 0.282623 0.140926 0.457517
0.101961 0.282290 0.145912 0.461510
0.105882 0.281887 0.150881 0.465405
0.109804 0.281412 0.155834 0.469201
0.113725 0.280868 0.160771 0.472899
0.117647 0.280255 0.165693 0.476498
0.121569 0.279574 0.170599 0.479997
0.125490 0.278826 0.175490 0.483397
0.129412 0.278012 0.180367 0.486697
0.133333 0.277134 0.185228 0.489898
0.137255 0.276194 0.190074 0.493001
0.141176 0.275191 0.194905 0.496005
0.145098 0.274128 0.199721 0.498911
0.149020 0.273006 0.204520 0.501721
0.152941 0.271828 0.209303 0.504434
0.156863 0.270595 0.214069 0.507052
0.160784 0.269308 0.218818 0.509577
0.164706 0.267968 0.223549 0.512008
0.168627 0.266580 0.228262 0.514349
0.172549 0.265145 0.232956 0.516599
0.176471 0.263663 0.237631 0.518762
0.180392 0.262138 0.242286 0.520837
0.184314 0.260571 0.246922 0.522828
0.188235 0.258965 0.251537 0.524736
0.192157 0.257322 0.256130 0.526563
0.196078 0.255645 0.260703 0.528312
0.200000 0.253935 0.265254 0.529983
0.203922 0.252194 0.269783 0.531579
0.207843 0.250425 0.274290 0.533103
0.211765 0.248629 0.278775 0.534556
0.215686 0.246811 0.283237 0.535941
0.219608 0.244972 0.287675 0.537260
0.223529 0.243113 0.292092 0.538516
0.227451 0.241237 0.296485 0.539709
0.231373 0.239346 0.300855 0.540844
0.235294 0.237441 0.305202 0.541921
0.239216 0.235526 0.309527 0.542944
0.243137 0.233603 0.313828 0.543914
0.247059 0.231674 0.318106 0.544834
0.250980 0.229739 0.322361 0.545706
0.254902 0.227802 0.326594 0.546532
0.258824 0.225863 0.330805 0.547314
0.262745 0.223925 0.334994 0.548053
0.266667 0.221989 0.339161 0.548752
0.270588 0.220057 0.343307 0.549413
0.274510 0.218130 0.347432 0.550038
0.278431 0.216210 0.351535 0.550627
0.282353 0.214298 0.355619 0.551184
0.286275 0.212395 0.359683 0.551710
0.290196 0.210503 0.363727 0.552206
0.294118 0.208623 0.367752 0.552675
0.298039 0.206756 0.371758 0.553117
0.301961 0.204903 0.375746 0.553533
0.305882 0.203063 0.379716 0.553925
0.309804 0.201239 0.383670 0.554294
0.313725 0.199430 0.387607 0.554642
0.317647 0.197636 0.391528 0.554969
0.321569 0.195860 0.395433 0.555276
0.325490 0.194100 0.399323 0.555565
0.329412 0.192357 0.403199 0.555836
0.333333 0.190631 0.407061 0.556089
0.337255 0.188923 0.410910 0.556326
0.341176 0.187231 0.414746 0.556547
0.345098 0.185556 0.418570 0.556753
0.349020 0.183898 0.422383 0.556944
0.352941 0.182256 0.426184 0.557120
0.356863 0.180629 0.429975 0.557282
0.360784 0.179019 0.433756 0.557430
0.364706 0.177423 0.437527 0.557565
0.368627 0.175841 0.441290 0.557685
0.372549 0.174274 0.445044 0.557792
0.376471 0.172719 0.448791 0.557885
0.380392 0.171176 0.452530 0.557965
0.384314 0.169646 0.456262 0.558030
0.388235 0.168126 0.459988 0.558082
0.392157 0.166617 0.463708 0.558119
0.396078 0.165117 0.467423 0.558141
0.400000 0.163625 0.471133 0.558148
0.403922 0.162142 0.474838 0.558140
0.407843 0.160665 0.478540 0.558115
0.411765 0.159194 0.482237 0.558073
0.415686 0.157729 0.485932 0.558013
0.419608 0.156270 0.489624 0.557936
0.423529 0.154815 0.493313 0.557840
0.427451 0.153364 0.497000 0.557724
0.431373 0.151918 0.500685 0.557587
0.435294 0.150476 0.504369 0.557430
0.439216 0.149039 0.508051 0.557250
0.443137 0.147607 0.511733 0.557049
0.447059 0.146180 0.515413 0.556823
0.450980 0.144759 0.519093 0.556572
0.454902 0.143343 0.522773 0.556295
0.458824 0.141935 0.526453 0.555991
0.462745 0.140536 0.530132 0.555659
0.466667 0.139147 0.533812 0.555298
0.470588 0.137770 0.537492 0.554906
0.474510 0.136408 0.541173 0.554483
0.478431 0.135066 0.544853 0.554029
0.482353 0.133743 0.548535 0.553541
0.486275 0.132444 0.552216 0.553018
0.490196 0.131172 0.555899 0.552459
0.494118 0.129933 0.559582 0.551864
0.498039 0.128729 0.563265 0.551229
0.501961 0.127568 0.566949 0.550556
0.505882 0.126453 0.570633 0.549841
0.509804 0.125394 0.574318 0.549086
0.513725 0.124395 0.578002 0.548287
0.517647 0.123463 0.581687 0.547445
0.521569 0.122606 0.585371 0.546557
0.525490 0.121831 0.589055 0.545623
0.529412 0.121148 0.592739 0.544641
0.533333 0.120565 0.596422 0.543611
0.537255 0.120092 0.600104 0.542530
0.541176 0.119738 0.603785 0.541400
0.545098 0.119512 0.607464 0.540218
0.549020 0.119423 0.611141 0.538982
0.552941 0.119483 0.614817 0.537692
0.556863 0.119699 0.618490 0.536347
0.560784 0.120081 0.622161 0.534946
0.564706 0.120638 0.625828 0.533488
0.568627 0.121380 0.629492 0.531973
0.572549 0.122312 0.633153 0.530398
0.576471 0.123444 0.636809 0.528763
0.580392 0.124780 0.640461 0.527068
0.584314 0.126326 0.644107 0.525311
0.588235 0.128087 0.647749 0.523491
0.592157 0.130067 0.651384 0.521608
0.596078 0.132268 0.655014 0.519661
0.600000 0.134692 0.658636 0.517649
0.603922 0.137339 0.662252 0.515571
0.607843 0.140210 0.665859 0.513427
0.611765 0.143303 0.669459 0.511215
0.615686 0.146616 0.673050 0.508936
0.619608 0.150148 0.676631 0.506589
0.623529 0.153894 0.680203 0.504172
0.627451 0.157851 0.683765 0.501686
0.631373 0.162016 0.687316 0.499129
0.635294 0.166383 0.690856 0.496502
0.639216 0.170948 0.694384 0.493803
0.643137 0.175707 0.697900 0.491033
0.647059 0.180653 0.701402 0.488189
0.650980 0.185783 0.704891 0.485273
0.654902 0.191090 0.708366 0.482284
0.658824 0.196571 0.711827 0.479221
0.662745 0.202219 0.715272 0.476084
0.666667 0.208030 0.718701 0.472873
0.670588 0.214000 0.722114 0.469588
0.674510 0.220124 0.725509 0.466226
0.678431 0.226397 0.728888 0.462789
0.682353 0.232815 0.732247 0.459277
0.686275 0.239374 0.735588 0.455688
0.690196 0.246070 0.738910 0.452024
0.694118 0.252899 0.742211 0.448284
0.698039 0.259857 0.745492 0.444467
0.701961 0.266941 0.748751 0.440573
0.705882 0.274149 0.751988 0.436601
0.709804 0.281477 0.755203 0.432552
0.713725 0.288921 0.758394 0.428426
0.717647 0.296479 0.761561 0.424223
0.721569 0.304148 0.764704 0.419943
0.725490 0.311925 0.767822 0.415586
0.729412 0.319809 0.770914 0.411152
0.733333 0.327796 0.773980 0.406640
0.737255 0.335885 0.777018 0.402049
0.741176 0.344074 0.780029 0.397381
0.745098 0.352360 0.783011 0.392636
0.749020 0.360741 0.785964 0.387814
0.752941 0.369214 0.788888 0.382914
0.756863 0.377779 0.791781 0.377939
0.760784 0.386433 0.794644 0.372886
0.764706 0.395174 0.797475 0.367757
0.768627 0.404001 0.800275 0.362552
0.772549 0.412913 0.803041 0.357269
0.776471 0.421908 0.805774 0.351910
0.780392 0.430983 0.808473 0.346476
0.784314 0.440137 0.811138 0.340967
0.788235 0.449368 0.813768 0.335384
0.792157 0.458674 0.816363 0.329727
0.796078 0.468053 0.818921 0.323998
0.800000 0.477504 0.821444 0.318195
0.803922 0.487026 0.823929 0.312321
0.807843 0.496615 0.826376 0.306377
0.811765 0.506271 0.828786 0.300362
0.815686 0.515992 0.831158 0.294279
0.819608 0.525776 0.833491 0.288127
0.823529 0.535621 0.835785 0.281908
0.827451 0.545524 0.838039 0.275626
0.831373 0.555484 0.840254 0.269281
0.835294 0.565498 0.842430 0.262877
0.839216 0.575563 0.844566 0.256415
0.843137 0.585678 0.846661 0.249897
0.847059 0.595839 0.848717 0.243329
0.850980 0.606045 0.850733 0.236712
0.854902 0.616293 0.852709 0.230052
0.858824 0.626579 0.854645 0.223353
0.862745 0.636902 0.856542 0.216620
0.866667 0.647257 0.858400 0.209861
0.870588 0.657642 0.860219 0.203082
0.874510 0.668054 0.861999 0.196293
0.878431 0.678489 0.863742 0.189503
0.882353 0.688944 0.865448 0.182725
0.886275 0.699415 0.867117 0.175971
0.890196 0.709898 0.868751 0.169257
0.894118 0.720391 0.870350 0.162603
0.898039 0.730889 0.871916 0.156029
0.901961 0.741388 0.873449 0.149561
0.905882 0.751884 0.874951 0.143228
0.909804 0.762373 0.876424 0.137064
0.913725 0.772852 0.877868 0.131109
0.917647 0.783315 0.879285 0.125405
0.921569 0.793760 0.880678 0.120005
0.925490 0.804182 0.882046 0.114965
0.929412 0.814576 0.883393 0.110347
0.933333 0.824940 0.884720 0.106217
0.937255 0.835270 0.886029 0.102646
0.941176 0.845561 0.887322 0.099702
0.945098 0.855810 0.888601 0.097452
0.949020 0.866013 0.889868 0.095953
0.952941 0.876168 0.891125 0.095250
0.956863 0.886271 0.892374 0.095374
0.960784 0.896320 0.893616 0.096335
0.964706 0.906311 0.894855 0.098125
0.968627 0.916242 0.896091 0.100717
0.972549 0.926106 0.897330 0.104071
0.976471 0.935904 0.898570 0.108131
0.980392 0.945636 0.899815 0.112838
0.984314 0.955300 0.901065 0.118128
0.988235 0.964894 0.902323 0.123941
0.992157 0.974417 0.903590 0.130215
0.996078 0.983868 0.904867 0.136897
1.000000 0.993248 0.906157 0.143936
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