[gmx-users] potential across surface

Andre Farias de Moura andre at qt.dq.ufscar.br
Fri Aug 6 11:58:17 CEST 2004


hi david,

I tried to use two different index files,
one for atoms and another for molecules,
because documentation doesn't specify
which one I should use. the command line
was the same in both cases:

g_potential -f water.xtc -s water.tpr -n index.ndx -sl 500

g_potential asks "how many groups?" and
I answered "1" since my systems has water
molecules, nothing else.

results are different depending on the index
file I choose but I still get an ever increasing
potential across my simulation box. see potential
files attached: potential1.xvg (atoms in index
file) and potential2.xvg (molecules in index file)

I also calculated the potential in another system
with one organic monolayer on each side of the
water film and got similar (strange) results.

I hope it helps,

andre'



/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/

    Dr. Andre' Farias de Moura

/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/

  Laboratorio de Quimica Teorica
Universidade Federal de Sao Carlos
     Sao Carlos - SP - Brasil

/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/

        Endereco Atual

    Grupo de Quimica Quantica
Instituto de Quimica de Sao Carlos
    Universidade de Sao Paulo
    Sao Carlos - SP - Brasil
    Telefone: 55-16-3373-8055

/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/

On Fri, 6 Aug 2004, David van der Spoel wrote:

> On Thu, 5 Aug 2004, Andre Farias de Moura wrote:
>
> >
> >hi david,
> >
> >I've checked both and don't think this is the problem,
> >the density profile shows an interfacial region less
> >than 0.5 nm thick and there is no overall movement.
> >
> >my simulation system contains a 6.0 nm water slab in a
> >50 nm box (z direction), I'm sending you my potential
> >files to clarify what I mean. I got these files using:
> >
> >g_potential -f water.xtc -s water.tpr -n index.ndx -sl 50
> What's in your index file?
>
>
>
> --
> David.
> ________________________________________________________________________
> David van der Spoel, PhD, Assoc. Prof., Molecular Biophysics group,
> Dept. of Cell and Molecular Biology, Uppsala University.
> Husargatan 3, Box 596,  	75124 Uppsala, Sweden
> phone:	46 18 471 4205		fax: 46 18 511 755
> spoel at xray.bmc.uu.se	spoel at gromacs.org   http://xray.bmc.uu.se/~spoel
> ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
>
> _______________________________________________
> gmx-users mailing list
> gmx-users at gromacs.org
> http://www.gromacs.org/mailman/listinfo/gmx-users
> Please don't post (un)subscribe requests to the list. Use the
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>
-------------- next part --------------
# This file was created by g_potential
# which is part of G R O M A C S:
# GROup of MAchos and Cynical Suckers
# All this happened at: Fri Aug  6 09:27:04 2004
#
@    title "Electrostatic Potential"
@    xaxis  label "Box (nm)"
@    yaxis  label "Potential (V)"
@TYPE xy
@ view 0.15, 0.15, 0.75, 0.85
@ legend on
@ legend box on
@ legend loctype view
@ legend 0.78, 0.8
@ legend length 2
@ s0 legend "system"
           0               -0
         0.1        0.0411168
         0.2         0.162617
         0.3         0.330546
         0.4         0.490913
         0.5         0.637025
         0.6         0.785713
         0.7         0.935845
         0.8          1.08166
         0.9          1.22665
           1          1.38046
         1.1           1.5358
         1.2          1.68338
         1.3            1.826
         1.4          1.96931
         1.5          2.11343
         1.6           2.2548
         1.7          2.39868
         1.8          2.54882
         1.9          2.70158
           2          2.85065
         2.1          2.99691
         2.2          3.14299
         2.3          3.28565
         2.4          3.43127
         2.5          3.58283
         2.6          3.73717
         2.7          3.89131
         2.8          4.04278
         2.9          4.19376
           3          4.34329
         3.1          4.49326
         3.2          4.65047
         3.3          4.80959
         3.4          4.96239
         3.5          5.11189
         3.6          5.26209
         3.7          5.41688
         3.8          5.57304
         3.9          5.72938
           4          5.88436
         4.1          6.03204
         4.2          6.17438
         4.3          6.31775
         4.4          6.46587
         4.5          6.61616
         4.6          6.76779
         4.7          6.92201
         4.8           7.0768
         4.9           7.2292
           5          7.37849
         5.1          7.52639
         5.2          7.67898
         5.3          7.83111
         5.4          7.97383
         5.5            8.111
         5.6           8.2546
         5.7          8.44391
         5.8           8.7145
         5.9          9.03926
           6          9.34368
         6.1          9.57783
         6.2          9.75392
         6.3          9.90751
         6.4          10.0571
         6.5           10.206
         6.6          10.3549
         6.7          10.5038
         6.8          10.6526
         6.9          10.8015
           7          10.9504
         7.1          11.0993
         7.2          11.2482
         7.3           11.397
         7.4          11.5459
         7.5          11.6948
         7.6          11.8437
         7.7          11.9926
         7.8          12.1415
         7.9          12.2904
           8          12.4393
         8.1          12.5881
         8.2           12.737
         8.3          12.8859
         8.4          13.0348
         8.5          13.1837
         8.6          13.3326
         8.7          13.4814
         8.8          13.6303
         8.9          13.7792
           9          13.9281
         9.1           14.077
         9.2          14.2259
         9.3          14.3748
         9.4          14.5237
         9.5          14.6726
         9.6          14.8214
         9.7          14.9703
         9.8          15.1192
         9.9          15.2681
          10           15.417
        10.1          15.5659
        10.2          15.7148
        10.3          15.8637
        10.4          16.0126
        10.5          16.1614
        10.6          16.3103
        10.7          16.4592
        10.8          16.6081
        10.9           16.757
          11          16.9059
        11.1          17.0548
        11.2          17.2037
        11.3          17.3526
        11.4          17.5014
        11.5          17.6503
        11.6          17.7993
        11.7          17.9482
        11.8           18.097
        11.9          18.2459
          12          18.3948
        12.1          18.5437
        12.2          18.6926
        12.3          18.8415
        12.4          18.9904
        12.5          19.1393
        12.6          19.2882
        12.7           19.437
        12.8          19.5859
        12.9          19.7348
          13          19.8837
        13.1          20.0326
        13.2          20.1815
        13.3          20.3303
        13.4          20.4792
        13.5          20.6281
        13.6           20.777
        13.7          20.9259
        13.8          21.0747
        13.9          21.2236
          14          21.3725
        14.1          21.5214
        14.2          21.6703
        14.3          21.8192
        14.4          21.9681
        14.5           22.117
        14.6          22.2658
        14.7          22.4147
        14.8          22.5636
        14.9          22.7125
          15          22.8614
        15.1          23.0102
        15.2          23.1591
        15.3          23.3079
        15.4          23.4568
        15.5          23.6057
        15.6          23.7546
        15.7          23.9035
        15.8          24.0524
        15.9          24.2013
          16          24.3502
        16.1          24.4991
        16.2           24.648
        16.3          24.7969
        16.4          24.9458
        16.5          25.0947
        16.6          25.2436
        16.7          25.3925
        16.8          25.5414
        16.9          25.6903
          17          25.8392
        17.1          25.9881
        17.2           26.137
        17.3          26.2858
        17.4          26.4347
        17.5          26.5836
        17.6          26.7325
        17.7          26.8814
        17.8          27.0303
        17.9          27.1791
          18           27.328
        18.1          27.4769
        18.2          27.6258
        18.3          27.7747
        18.4          27.9236
        18.5          28.0725
        18.6          28.2214
        18.7          28.3703
        18.8          28.5192
        18.9           28.668
          19          28.8169
        19.1          28.9658
        19.2          29.1147
        19.3          29.2636
        19.4          29.4125
        19.5          29.5614
        19.6          29.7103
        19.7          29.8592
        19.8          30.0081
        19.9           30.157
          20          30.3058
        20.1          30.4547
        20.2          30.6036
        20.3          30.7525
        20.4          30.9014
        20.5          31.0503
        20.6          31.1992
        20.7          31.3481
        20.8           31.497
        20.9          31.6459
          21          31.7947
        21.1          31.9436
        21.2          32.0925
        21.3          32.2414
        21.4          32.3903
        21.5          32.5392
        21.6           32.688
        21.7          32.8369
        21.8          32.9858
        21.9          33.1347
          22          33.2836
        22.1          33.4324
        22.2          33.5813
        22.3          33.7302
        22.4          33.8791
        22.5           34.028
        22.6          34.1768
        22.7          34.3257
        22.8          34.4746
        22.9          34.6235
          23          34.7724
        23.1          34.9213
        23.2          35.0702
        23.3          35.2191
        23.4           35.368
        23.5          35.5168
        23.6          35.6657
        23.7          35.8146
        23.8          35.9635
        23.9          36.1124
          24          36.2612
        24.1          36.4101
        24.2           36.559
        24.3          36.7079
        24.4          36.8568
        24.5          37.0056
        24.6          37.1545
        24.7          37.3034
        24.8          37.4523
        24.9          37.6012
          25            37.75
        25.1          37.8989
        25.2          38.0478
        25.3          38.1968
        25.4          38.3456
        25.5          38.4945
        25.6          38.6434
        25.7          38.7923
        25.8          38.9412
        25.9          39.0901
          26           39.239
        26.1          39.3878
        26.2          39.5367
        26.3          39.6856
        26.4          39.8344
        26.5          39.9833
        26.6          40.1322
        26.7          40.2811
        26.8            40.43
        26.9          40.5788
          27          40.7277
        27.1          40.8766
        27.2          41.0255
        27.3          41.1743
        27.4          41.3232
        27.5          41.4721
        27.6           41.621
        27.7          41.7698
        27.8          41.9187
        27.9          42.0676
          28          42.2165
        28.1          42.3654
        28.2          42.5144
        28.3          42.6633
        28.4          42.8121
        28.5           42.961
        28.6          43.1099
        28.7          43.2588
        28.8          43.4077
        28.9          43.5566
          29          43.7055
        29.1          43.8544
        29.2          44.0032
        29.3          44.1521
        29.4           44.301
        29.5          44.4499
        29.6          44.5988
        29.7          44.7476
        29.8          44.8965
        29.9          45.0454
          30          45.1943
        30.1          45.3431
        30.2           45.492
        30.3          45.6409
        30.4          45.7897
        30.5          45.9386
        30.6          46.0875
        30.7          46.2364
        30.8          46.3853
        30.9          46.5342
          31          46.6831
        31.1           46.832
        31.2          46.9809
        31.3          47.1298
        31.4          47.2787
        31.5          47.4275
        31.6          47.5764
        31.7          47.7253
        31.8          47.8742
        31.9          48.0231
          32           48.172
        32.1          48.3209
        32.2          48.4697
        32.3          48.6186
        32.4          48.7675
        32.5          48.9164
        32.6          49.0653
        32.7          49.2142
        32.8          49.3631
        32.9          49.5119
          33          49.6608
        33.1          49.8096
        33.2          49.9585
        33.3          50.1074
        33.4          50.2563
        33.5          50.4052
        33.6          50.5541
        33.7           50.703
        33.8          50.8518
        33.9          51.0007
          34          51.1496
        34.1          51.2985
        34.2          51.4475
        34.3          51.5964
        34.4          51.7453
        34.5          51.8942
        34.6          52.0431
        34.7           52.192
        34.8          52.3408
        34.9          52.4897
          35          52.6386
        35.1          52.7874
        35.2          52.9363
        35.3          53.0852
        35.4          53.2341
        35.5           53.383
        35.6          53.5319
        35.7          53.6807
        35.8          53.8296
        35.9          53.9785
          36          54.1274
        36.1          54.2763
        36.2          54.4252
        36.3          54.5741
        36.4           54.723
        36.5          54.8719
        36.6          55.0208
        36.7          55.1696
        36.8          55.3185
        36.9          55.4674
          37          55.6163
        37.1          55.7652
        37.2          55.9141
        37.3           56.063
        37.4          56.2119
        37.5          56.3608
        37.6          56.5097
        37.7          56.6586
        37.8          56.8074
        37.9          56.9563
          38          57.1052
        38.1          57.2541
        38.2          57.4029
        38.3          57.5518
        38.4          57.7007
        38.5          57.8496
        38.6          57.9985
        38.7          58.1474
        38.8          58.2963
        38.9          58.4452
          39          58.5941
        39.1           58.743
        39.2          58.8919
        39.3          59.0408
        39.4          59.1896
        39.5          59.3385
        39.6          59.4874
        39.7          59.6363
        39.8          59.7852
        39.9          59.9341
          40           60.083
        40.1          60.2319
        40.2          60.3808
        40.3          60.5297
        40.4          60.6786
        40.5          60.8275
        40.6          60.9764
        40.7          61.1253
        40.8          61.2742
        40.9           61.423
          41          61.5719
        41.1          61.7208
        41.2          61.8697
        41.3          62.0186
        41.4          62.1675
        41.5          62.3164
        41.6          62.4653
        41.7          62.6142
        41.8          62.7632
        41.9          62.9121
          42           63.061
        42.1          63.2099
        42.2          63.3588
        42.3          63.5078
        42.4          63.6567
        42.5          63.8056
        42.6          63.9545
        42.7          64.1034
        42.8          64.2523
        42.9          64.4013
          43          64.5502
        43.1          64.6991
        43.2           64.848
        43.3          64.9969
        43.4          65.1458
        43.5          65.2947
        43.6          65.4436
        43.7          65.5924
        43.8          65.7413
        43.9          65.8902
          44           66.039
        44.1          66.1879
        44.2          66.3368
        44.3          66.4857
        44.4          66.6346
        44.5          66.7835
        44.6          66.9324
        44.7          67.0813
        44.8          67.2302
        44.9          67.3791
          45           67.528
        45.1          67.6769
        45.2          67.8258
        45.3          67.9747
        45.4          68.1236
        45.5          68.2725
        45.6          68.4214
        45.7          68.5703
        45.8          68.7191
        45.9           68.868
          46          69.0169
        46.1          69.1658
        46.2          69.3147
        46.3          69.4636
        46.4          69.6125
        46.5          69.7614
        46.6          69.9103
        46.7          70.0592
        46.8          70.2081
        46.9           70.357
          47          70.5059
        47.1          70.6548
        47.2          70.8037
        47.3          70.9525
        47.4          71.1013
        47.5          71.2502
        47.6          71.3991
        47.7           71.548
        47.8          71.6969
        47.9          71.8458
          48          71.9947
        48.1          72.1436
        48.2          72.2925
        48.3          72.4415
        48.4          72.5904
        48.5          72.7393
        48.6          72.8881
        48.7           73.037
        48.8          73.1859
        48.9          73.3347
          49          73.4836
        49.1          73.6325
        49.2          73.7814
        49.3          73.9302
        49.4          74.0789
        49.5          74.2266
        49.6          74.3667
        49.7          74.4788
        49.8          74.5327
        49.9          74.5248
-------------- next part --------------
# This file was created by g_potential
# which is part of G R O M A C S:
# Getting the Right Output Means no Artefacts in Calculating Stuff
# All this happened at: Fri Aug  6 09:27:38 2004
#
@    title "Electrostatic Potential"
@    xaxis  label "Box (nm)"
@    yaxis  label "Potential (V)"
@TYPE xy
@ view 0.15, 0.15, 0.75, 0.85
@ legend on
@ legend box on
@ legend loctype view
@ legend 0.78, 0.8
@ legend length 2
@ s0 legend "system"
           0               -0
         0.1        0.0163993
         0.2        0.0642188
         0.3         0.133506
         0.4         0.194283
         0.5         0.233195
         0.6         0.272403
         0.7          0.31572
         0.8         0.348332
         0.9         0.370877
           1         0.393573
         1.1          0.42292
         1.2         0.456152
         1.3         0.486919
         1.4         0.518485
         1.5         0.559126
         1.6         0.609533
         1.7         0.662058
         1.8         0.714244
         1.9         0.766293
           2         0.812925
         2.1         0.859002
         2.2         0.903423
         2.3         0.940909
         2.4         0.980949
         2.5          1.02461
         2.6          1.06435
         2.7          1.09734
         2.8          1.12899
         2.9          1.16773
           3          1.21637
         3.1          1.27413
         3.2          1.34047
         3.3          1.40789
         3.4          1.47133
         3.5          1.53768
         3.6          1.60572
         3.7          1.66911
         3.8          1.72788
         3.9          1.78572
           4          1.84418
         4.1          1.89726
         4.2          1.94371
         4.3          1.99059
         4.4          2.03595
         4.5          2.07575
         4.6          2.11608
         4.7          2.15676
         4.8          2.18883
         4.9          2.21847
           5          2.25318
         5.1          2.28531
         5.2          2.31556
         5.3           2.3503
         5.4          2.38458
         5.5          2.41528
         5.6          2.45208
         5.7          2.50541
         5.8          2.57982
         5.9          2.66811
           6          2.75057
         6.1          2.81526
         6.2          2.86586
         6.3          2.91087
         6.4          2.95496
         6.5          2.99887
         6.6          3.04279
         6.7          3.08671
         6.8          3.13062
         6.9          3.17454
           7          3.21846
         7.1          3.26238
         7.2          3.30629
         7.3          3.35021
         7.4          3.39413
         7.5          3.43804
         7.6          3.48196
         7.7          3.52588
         7.8           3.5698
         7.9          3.61371
           8          3.65763
         8.1          3.70155
         8.2          3.74546
         8.3          3.78938
         8.4           3.8333
         8.5          3.87722
         8.6          3.92113
         8.7          3.96505
         8.8          4.00897
         8.9          4.05288
           9           4.0968
         9.1          4.14072
         9.2          4.18464
         9.3          4.22855
         9.4          4.27247
         9.5          4.31639
         9.6           4.3603
         9.7          4.40422
         9.8          4.44814
         9.9          4.49206
          10          4.53597
        10.1          4.57989
        10.2          4.62381
        10.3          4.66773
        10.4          4.71164
        10.5          4.75556
        10.6          4.79948
        10.7           4.8434
        10.8          4.88731
        10.9          4.93123
          11          4.97515
        11.1          5.01907
        11.2          5.06298
        11.3           5.1069
        11.4          5.15082
        11.5          5.19474
        11.6          5.23865
        11.7          5.28257
        11.8          5.32649
        11.9          5.37041
          12          5.41432
        12.1          5.45824
        12.2          5.50216
        12.3          5.54607
        12.4          5.58999
        12.5          5.63391
        12.6          5.67783
        12.7          5.72174
        12.8          5.76566
        12.9          5.80958
          13           5.8535
        13.1          5.89741
        13.2          5.94133
        13.3          5.98525
        13.4          6.02917
        13.5          6.07308
        13.6            6.117
        13.7          6.16092
        13.8          6.20484
        13.9          6.24875
          14          6.29267
        14.1          6.33659
        14.2          6.38051
        14.3          6.42442
        14.4          6.46834
        14.5          6.51226
        14.6          6.55618
        14.7          6.60009
        14.8          6.64401
        14.9          6.68793
          15          6.73185
        15.1          6.77576
        15.2          6.81968
        15.3           6.8636
        15.4          6.90752
        15.5          6.95143
        15.6          6.99535
        15.7          7.03927
        15.8          7.08319
        15.9           7.1271
          16          7.17102
        16.1          7.21494
        16.2          7.25885
        16.3          7.30277
        16.4          7.34669
        16.5          7.39061
        16.6          7.43453
        16.7          7.47844
        16.8          7.52236
        16.9          7.56628
          17          7.61019
        17.1          7.65411
        17.2          7.69803
        17.3          7.74195
        17.4          7.78586
        17.5          7.82978
        17.6           7.8737
        17.7          7.91762
        17.8          7.96153
        17.9          8.00545
          18          8.04937
        18.1          8.09329
        18.2           8.1372
        18.3          8.18112
        18.4          8.22504
        18.5          8.26896
        18.6          8.31287
        18.7          8.35679
        18.8          8.40071
        18.9          8.44463
          19          8.48854
        19.1          8.53246
        19.2          8.57638
        19.3           8.6203
        19.4          8.66421
        19.5          8.70813
        19.6          8.75205
        19.7          8.79597
        19.8          8.83988
        19.9           8.8838
          20          8.92772
        20.1          8.97164
        20.2          9.01555
        20.3          9.05947
        20.4          9.10339
        20.5           9.1473
        20.6          9.19122
        20.7          9.23514
        20.8          9.27905
        20.9          9.32297
          21          9.36689
        21.1          9.41081
        21.2          9.45472
        21.3          9.49864
        21.4          9.54256
        21.5          9.58647
        21.6          9.63039
        21.7          9.67431
        21.8          9.71822
        21.9          9.76214
          22          9.80606
        22.1          9.84997
        22.2          9.89389
        22.3          9.93781
        22.4          9.98173
        22.5          10.0256
        22.6          10.0696
        22.7          10.1135
        22.8          10.1574
        22.9          10.2013
          23          10.2452
        23.1          10.2891
        23.2          10.3331
        23.3           10.377
        23.4          10.4209
        23.5          10.4648
        23.6          10.5087
        23.7          10.5526
        23.8          10.5966
        23.9          10.6405
          24          10.6844
        24.1          10.7283
        24.2          10.7722
        24.3          10.8161
        24.4          10.8601
        24.5           10.904
        24.6          10.9479
        24.7          10.9918
        24.8          11.0357
        24.9          11.0796
          25          11.1236
        25.1          11.1675
        25.2          11.2114
        25.3          11.2553
        25.4          11.2992
        25.5          11.3431
        25.6          11.3871
        25.7           11.431
        25.8          11.4749
        25.9          11.5188
          26          11.5627
        26.1          11.6067
        26.2          11.6506
        26.3          11.6945
        26.4          11.7384
        26.5          11.7823
        26.6          11.8262
        26.7          11.8702
        26.8          11.9141
        26.9           11.958
          27          12.0019
        27.1          12.0458
        27.2          12.0897
        27.3          12.1337
        27.4          12.1776
        27.5          12.2215
        27.6          12.2654
        27.7          12.3093
        27.8          12.3532
        27.9          12.3972
          28          12.4411
        28.1           12.485
        28.2          12.5289
        28.3          12.5728
        28.4          12.6167
        28.5          12.6607
        28.6          12.7046
        28.7          12.7485
        28.8          12.7924
        28.9          12.8363
          29          12.8802
        29.1          12.9242
        29.2          12.9681
        29.3           13.012
        29.4          13.0559
        29.5          13.0998
        29.6          13.1437
        29.7          13.1877
        29.8          13.2316
        29.9          13.2755
          30          13.3194
        30.1          13.3633
        30.2          13.4072
        30.3          13.4512
        30.4          13.4951
        30.5           13.539
        30.6          13.5829
        30.7          13.6268
        30.8          13.6707
        30.9          13.7147
          31          13.7586
        31.1          13.8025
        31.2          13.8464
        31.3          13.8903
        31.4          13.9342
        31.5          13.9782
        31.6          14.0221
        31.7           14.066
        31.8          14.1099
        31.9          14.1538
          32          14.1977
        32.1          14.2417
        32.2          14.2856
        32.3          14.3295
        32.4          14.3734
        32.5          14.4173
        32.6          14.4612
        32.7          14.5052
        32.8          14.5491
        32.9           14.593
          33          14.6369
        33.1          14.6808
        33.2          14.7248
        33.3          14.7687
        33.4          14.8126
        33.5          14.8565
        33.6          14.9004
        33.7          14.9443
        33.8          14.9883
        33.9          15.0322
          34          15.0761
        34.1            15.12
        34.2          15.1639
        34.3          15.2078
        34.4          15.2518
        34.5          15.2957
        34.6          15.3396
        34.7          15.3835
        34.8          15.4274
        34.9          15.4713
          35          15.5153
        35.1          15.5592
        35.2          15.6031
        35.3           15.647
        35.4          15.6909
        35.5          15.7348
        35.6          15.7788
        35.7          15.8227
        35.8          15.8666
        35.9          15.9105
          36          15.9544
        36.1          15.9983
        36.2          16.0423
        36.3          16.0862
        36.4          16.1301
        36.5           16.174
        36.6          16.2179
        36.7          16.2618
        36.8          16.3058
        36.9          16.3497
          37          16.3936
        37.1          16.4375
        37.2          16.4814
        37.3          16.5253
        37.4          16.5693
        37.5          16.6132
        37.6          16.6571
        37.7           16.701
        37.8          16.7449
        37.9          16.7888
          38          16.8328
        38.1          16.8767
        38.2          16.9206
        38.3          16.9645
        38.4          17.0084
        38.5          17.0523
        38.6          17.0963
        38.7          17.1402
        38.8          17.1841
        38.9           17.228
          39          17.2719
        39.1          17.3158
        39.2          17.3598
        39.3          17.4037
        39.4          17.4476
        39.5          17.4915
        39.6          17.5354
        39.7          17.5793
        39.8          17.6233
        39.9          17.6672
          40          17.7111
        40.1           17.755
        40.2          17.7989
        40.3          17.8429
        40.4          17.8868
        40.5          17.9307
        40.6          17.9746
        40.7          18.0185
        40.8          18.0624
        40.9          18.1064
          41          18.1503
        41.1          18.1942
        41.2          18.2381
        41.3           18.282
        41.4          18.3259
        41.5          18.3699
        41.6          18.4138
        41.7          18.4577
        41.8          18.5016
        41.9          18.5455
          42          18.5894
        42.1          18.6334
        42.2          18.6773
        42.3          18.7212
        42.4          18.7651
        42.5           18.809
        42.6          18.8529
        42.7          18.8969
        42.8          18.9408
        42.9          18.9847
          43          19.0286
        43.1          19.0725
        43.2          19.1164
        43.3          19.1604
        43.4          19.2043
        43.5          19.2482
        43.6          19.2921
        43.7           19.336
        43.8          19.3799
        43.9          19.4239
          44          19.4678
        44.1          19.5117
        44.2          19.5556
        44.3          19.5995
        44.4          19.6434
        44.5          19.6874
        44.6          19.7313
        44.7          19.7752
        44.8          19.8191
        44.9           19.863
          45          19.9069
        45.1          19.9509
        45.2          19.9948
        45.3          20.0387
        45.4          20.0826
        45.5          20.1265
        45.6          20.1704
        45.7          20.2144
        45.8          20.2583
        45.9          20.3022
          46          20.3461
        46.1            20.39
        46.2           20.434
        46.3          20.4779
        46.4          20.5218
        46.5          20.5657
        46.6          20.6096
        46.7          20.6535
        46.8          20.6975
        46.9          20.7414
          47          20.7853
        47.1          20.8292
        47.2          20.8731
        47.3           20.917
        47.4           20.961
        47.5          21.0049
        47.6          21.0488
        47.7          21.0927
        47.8          21.1366
        47.9          21.1805
          48          21.2245
        48.1          21.2684
        48.2          21.3123
        48.3          21.3562
        48.4          21.4001
        48.5           21.444
        48.6           21.488
        48.7          21.5319
        48.8          21.5758
        48.9          21.6197
          49          21.6636
        49.1          21.7075
        49.2          21.7514
        49.3          21.7953
        49.4          21.8392
        49.5          21.8827
        49.6          21.9232
        49.7          21.9531
        49.8          21.9623
        49.9          21.9513


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