Hello,
I would like to simulate coarse-grained PMMA using the parameters reported in this reference paper. Systematic Method for Thermomechanically Consistent Coarse-Graining: A Universal Model for Methacrylate-Based Polymers - PubMed
Could you please advise on how to construct the polymer model in EMC using these tabulated coarse-grain parameters?
Thank you for your help.
Best regards,
Sanjib
Dear user,
The paper you are referring to has combinations of functional forms for which EMC does not have a predefined force field. You can, however, always use tabulated potentials instead, which means, that you would need to convert the needed functions to tables. EMC supports tabulated potentials. A parameter file consists of a force field definition section in which the potential type is defined,
# Define
ITEM DEFINE
ANGLE WARN
DENSITY G/CC
ENERGY KCAL/MOL
FFAPPLY ALL
FFMODE TABLE
FFTYPE COARSE
LENGTH ANGSTROM
NBONDED 1
TORSION WARN
VERSION 1.0
ITEM END # DEFINE
Each parameter paragraph follows the same idea of representing parameters. For example, non-bonded parameters definitions follow
# Nonbond
ITEM NONBOND
# type1 type2 T t TABLE n x0 dx table
ch3 ch3 T 300 TABLE 628 2.35 0.02
187.01634698 168.4523544 151.84170742 136.96714462 123.63523077
...
where the ch3 ch3 definition at T = 300K with 628 entries, starting at r = 2.35 A, with steps of dr = 0.02. Bonded contributions are available for bonds, angles, torsions, and impropers using ITEM BOND, ITEM ANGLE, ITEM TORSION, and ITEM IMPROPER. For instance, the angle contribution would look like
# Nonbond
ITEM NONBOND
# type1 type2 type3 T t TABLE n x0 dx table
ch3 ch2 ch3 T 300 TABLE 140 1.74 0.01
...
for the ch3 ch2 ch3angle. Units are in radians.
Hi Pieter,
Thank you for your detailed reply with instructions.
I encounter the following error when I run the polymer.esh script with the cg_Hsu.prm file. The parameter file contains data in tabular form, separated by tabs.
Error: core/parse.c:169 ParseUnary:
Illegal expression termination in line 1 of input
Program aborted.
I have attached the relevant files (polymer.esh and cg_Hsu.prm) below for your reference. Could you please have a look and let me know if you find any issues with them?
There are two types of beads (A & B) in this coarse grain parameter set, and it doesn’t consider all types of angle and torsion interactions (for instance B-A-A-A is missing). Should I need to specify the missing interactions as zero in the parameter file?
Best regards,
Sanjib
#!/usr/bin/env emc.pl
# Options
ITEM OPTIONS
project cg
field cg/cg_Hsu
auto false
ntotal 1000
density 1.0
replace true
build_dir .
sample volume
profile density:true
units real
ITEM END
# Groups
ITEM GROUPS
a *A([B])*,1,a:2
t *B,1,a:1,1,a:2
ITEM END
# Clusters
ITEM CLUSTERS
poly random,1
ITEM END
# Polymers
ITEM POLYMERS
poly
1 a,10,t,2
ITEM END
#################################
# CG_Hsu interaction parameters
#################################
# Force field definition
ITEM DEFINE
ANGLE WARN
CUTOFF 15.0
DENSITY G/CC
ENERGY KCAL/MOL
FFAPPLY ALL
FFMODE TABLE
FFTYPE COARSE
LENGTH ANGSTROM
NBONDED 1
# INNER 12.0
TORSION WARN
VERSION 1.0
ITEM END
# Masses
ITEM MASS
# type mass name ncons charge comment
A 85 A 2 0 Large_Bead
B 15 B 1 0 Small_Bead
ITEM END
# Typing equivalences
ITEM EQUIVALENCE
# type pair incr bond angle torsion improper
A A A A A A A
B B B B B B B
ITEM END
# Nonbonded parameters
ITEM NONBOND
# type1 type2 T t TABLE n x0 dx table
A A T 300 TABLE 106 4.50 0.10
15.5575 11.2288 8.0530 5.7180 3.9992 2.7337 1.8031 1.1203 0.6216 0.2599 0.0000 -0.1839 -0.3114 -0.3968 -0.4512 -0.4826 -0.4972 -0.4997 -0.4934 -0.4811 -0.4646 -0.4455 -0.4247 -0.4032 -0.3814 -0.3598 -0.3388 -0.3184 -0.2989 -0.2803 -0.2627 -0.2460 -0.2303 -0.2156 -0.2018 -0.1889 -0.1768 -0.1655 -0.1550 -0.1452 -0.1360 -0.1275 -0.1195 -0.1121 -0.1052 -0.0987 -0.0927 -0.0871 -0.0819 -0.0770 -0.0725 -0.0682 -0.0643 -0.0605 -0.0571 -0.0538 -0.0508 -0.0480 -0.0453 -0.0428 -0.0405 -0.0383 -0.0362 -0.0343 -0.0325 -0.0308 -0.0292 -0.0277 -0.0262 -0.0249 -0.0236 -0.0225 -0.0213 -0.0203 -0.0193 -0.0184 -0.0175 -0.0166 -0.0159 -0.0151 -0.0144 -0.0137 -0.0131 -0.0125 -0.0119 -0.0114 -0.0109 -0.0104 -0.0100 -0.0095 -0.0091 -0.0087 -0.0083 -0.0080 -0.0076 -0.0073 -0.0070 -0.0067 -0.0065 -0.0062 -0.0059 -0.0057 -0.0055 -0.0053 -0.0050 -0.0048
B B T 300 TABLE 112 3.90 0.10
14.22838958 8.961191336 5.366189635 2.921432031 1.270873793 0.170072614 -0.549751803 -1.005711768 -1.279401518 -1.427850896 -1.491008006 -1.496884914 -1.465118168 -1.409446551 -1.339444319 -1.261739369 -1.180872985 -1.099908853 -1.020865782 -0.945025925 -0.873154702 -0.805657876 -0.742693742 -0.684253188 -0.630216687 -0.580394709 -0.534556221 -0.492448584 -0.453811295 -0.418385289 -0.385919075 -0.356172609 -0.328919574 -0.303948535 -0.281063328 -0.260082912 -0.240840891 -0.223184806 -0.206975312 -0.19208528 -0.178398895 -0.165810754 -0.154225003 -0.143554514 -0.133720112 -0.124649861 -0.116278396 -0.10854632 -0.101399644 -0.094789277 -0.08867057 -0.08300289 -0.077749246 -0.072875942 -0.068352267 -0.064150214 -0.060244226 -0.056610969 -0.053229122 -0.050079192 -0.047143347 -0.044405261 -0.041849977 -0.039463786 -0.037234111 -0.035149405 -0.033199065 -0.031373341 -0.029663268 -0.028060593 -0.026557713 -0.025147624 -0.023823864 -0.022580471 -0.021411939 -0.02031318 -0.019279491 -0.018306518 -0.017390235 -0.016526907 -0.015713078 -0.014945537 -0.01422131 -0.013537631 -0.012891933 -0.012281828 -0.011705098 -0.011159676 -0.010643637 -0.010155192 -0.009692668 -0.009254508 -0.008839259 -0.008445564 -0.008072156 -0.00771785 -0.00738154 -0.007062189 -0.006758828 -0.006470551 -0.006196506 -0.005935897 -0.005687978 -0.005452047 -0.005227449 -0.005013564 -0.004809814 -0.004615654 -0.004430572 -0.004254087 -0.004085745 -0.00392512
A B T 300 TABLE 109 4.20 0.10
16.0932 11.0599 7.4776 4.9266 3.1118 1.8247 0.9169 0.2823 -0.1553 -0.4508 -0.6440 -0.7638 -0.8310 -0.8610 -0.8650 -0.8510 -0.8249 -0.7911 -0.7527 -0.7118 -0.6700 -0.6285 -0.5879 -0.5489 -0.5116 -0.4763 -0.4431 -0.4120 -0.3829 -0.3558 -0.3307 -0.3073 -0.2856 -0.2656 -0.2470 -0.2298 -0.2139 -0.1992 -0.1856 -0.1730 -0.1614 -0.1506 -0.1406 -0.1314 -0.1228 -0.1149 -0.1075 -0.1007 -0.0943 -0.0884 -0.0830 -0.0779 -0.0732 -0.0687 -0.0646 -0.0608 -0.0572 -0.0539 -0.0508 -0.0479 -0.0452 -0.0427 -0.0403 -0.0381 -0.0360 -0.0340 -0.0322 -0.0305 -0.0289 -0.0274 -0.0259 -0.0246 -0.0233 -0.0222 -0.0210 -0.0200 -0.0190 -0.0181 -0.0172 -0.0164 -0.0156 -0.0148 -0.0141 -0.0135 -0.0128 -0.0122 -0.0117 -0.0112 -0.0107 -0.0102 -0.0097 -0.0093 -0.0089 -0.0085 -0.0081 -0.0078 -0.0075 -0.0071 -0.0068 -0.0066 -0.0063 -0.0060 -0.0058 -0.0055 -0.0053 -0.0051 -0.0049 -0.0047 -0.0045
ITEM END
# Bond parameters
ITEM BOND
# type1 type2 T t TABLE n x0 dx table
A A T 300 TABLE 76 2.20 0.02
56.723625 53.678625 50.717625 47.840625 45.047625 42.338625 39.713625 37.172625 34.715625 32.342625 30.053625 27.848625 25.727625 23.690625 21.737625 19.868625 18.083625 16.382625 14.765625 13.232625 11.783625 10.418625 9.137625 7.940625 6.827625 5.798625 4.853625 3.992625 3.215625 2.522625 1.913625 1.388625 0.947625 0.590625 0.317625 0.128625 0.023625 0.002625 0.065625 0.212625 0.443625 0.758625 1.157625 1.640625 2.207625 2.858625 3.593625 4.412625 5.315625 6.302625 7.373625 8.528625 9.767625 11.090625 12.497625 13.988625 15.563625 17.222625 18.965625 20.792625 22.703625 24.698625 26.777625 28.940625 31.187625 33.518625 35.933625 38.432625 41.015625 43.682625 46.433625 49.268625 52.187625 55.190625 58.277625 61.448625
A B T 300 TABLE 76 3.00 0.02
17.25794504 16.22477384 15.22349064 14.25409544 13.31658824 12.41096904 11.53723784 10.69539464 9.88543944 9.10737224 8.36119304 7.64690184 6.96449864 6.31398344 5.69535624 5.10861704 4.55376584 4.03080264 3.53972744 3.08054024 2.65324104 2.25782984 1.89430664 1.56267144 1.26292424 0.99506504 0.75909384 0.55501064 0.38281544 0.24250824 0.13408904 0.05755784 0.01291464 0.00015944 0.01929224 0.07031304 0.15322184 0.26801864 0.41470344 0.59327624 0.80373704 1.04608584 1.32032264 1.62644744 1.96446024 2.33436104 2.73614984 3.16982664 3.63539144 4.13284424 4.66218504 5.22341384 5.81653064 6.44153544 7.09842824 7.78720904 8.50787784 9.26043464 10.04487944 10.86121224 11.70943304 12.58954184 13.50153864 14.44542344 15.42119624 16.42885704 17.46840584 18.53984264 19.64316744 20.77838024 21.94548104 23.14446984 24.37534664 25.63811144 26.93276424 28.25930504
ITEM END
# Angle parameters
ITEM ANGLE
# type1 type2 type3 T t TABLE n x0 dx table
A A A T 300 TABLE 316 0.00 0.01
98.445916 97.536856 96.632112 95.731683 94.83557 93.943771 93.056287 92.173119 91.294265 90.419727 89.549504 88.683596 87.822003 86.964725 86.111762 85.263114 84.418782 83.578764 82.743062 81.911674 81.084602 80.261845 79.443403 78.629276 77.819464 77.013968 76.212786 75.41592 74.623368 73.835132 73.051211 72.271605 71.496314 70.725338 69.958677 69.196331 68.438301 67.684585 66.935185 66.190099 65.449329 64.712874 63.980734 63.252909 62.529399 61.810205 61.095325 60.384761 59.678511 58.976577 58.278958 57.585654 56.896665 56.211991 55.531632 54.855588 54.18386 53.516446 52.853348 52.194564 51.540096 50.889943 50.244105 49.602582 48.965374 48.332482 47.703904 47.079642 46.459694 45.844062 45.232745 44.625743 44.023056 43.424684 42.830627 42.240885 41.655459 41.074347 40.497551 39.92507 39.356903 38.793052 38.233516 37.678295 37.12739 36.580799 36.038523 35.500563 34.966918 34.437587 33.912572 33.391872 32.875487 32.363417 31.855662 31.352223 30.853098 30.358289 29.867794 29.381615 28.899751 28.422202 27.948968 27.480049 27.015445 26.555156 26.099183 25.647524 25.200181 24.757153 24.31844 23.884041 23.453958 23.028191 22.606738 22.1896 21.776778 21.36827 20.964078 20.564201 20.168638 19.777391 19.390459 19.007842 18.629541 18.255554 17.885882 17.520526 17.159485 16.802758 16.450347 16.102251 15.75847 15.419004 15.083854 14.753018 14.426497 14.104292 13.786401 13.472826 13.163566 12.858621 12.557991 12.261676 11.969676 11.681992 11.398622 11.119568 10.844828 10.574404 10.308295 10.046501 9.789022 9.535858 9.287009 9.042476 8.802257 8.566354 8.334765 8.107492 7.884534 7.665891 7.451563 7.24155 7.035852 6.83447 6.637402 6.44465 6.256212 6.07209 5.892283 5.716791 5.545614 5.378752 5.216205 5.057974 4.904057 4.754456 4.609169 4.468198 4.331542 4.199201 4.071175 3.947464 3.828068 3.712988 3.602222 3.495772 3.393637 3.295816 3.202311 3.113121 3.028246 2.947686 2.871442 2.799512 2.731897 2.668598 2.609614 2.554944 2.50459 2.458551 2.416827 2.379418 2.346325 2.317546 2.293083 2.272934 2.257101 2.245583 2.238379 2.235491 2.236918 2.242661 2.252718 2.26709 2.285778 2.30878 2.336098 2.367731 2.403679 2.443942 2.48852 2.537413 2.590621 2.648145 2.709983 2.776137 2.846605 2.921389 3.000488 3.083902 3.171631 3.263675 3.360034 3.460708 3.565697 3.675001 3.788618 3.906546 4.028782 4.155313 4.286119 4.421147 4.560291 4.703314 4.849725 4.99849 5.147508 5.292633 5.426159 5.535192 5.601955 5.609437 5.551601 5.43825 5.288252 5.1196 4.944898 4.771654 4.603986 4.444062 4.293006 4.1514 4.019544 3.897595 3.785636 3.68371 3.59184 3.510038 3.438311 3.376663 3.325096 3.283611 3.252209 3.23089 3.219654 3.218502 3.227433 3.246448 3.275546 3.314727 3.363993 3.423341 3.492774 3.57229 3.661889 3.761572 3.871339 3.991189 4.121123 4.261141 4.411242 4.571426 4.741695 4.922046 5.112482 5.313 5.523603 5.744289 5.975059 6.215912 6.466849 6.727869 6.998973 7.280161 7.571432 7.872786 8.184225 8.505746 8.837352 9.179041 9.530813 9.89267 10.264609 10.646633
A A B T 300 TABLE 316 0.00 0.01
154.950973 152.06899 149.226545 146.423284 143.658853 140.932898 138.24507 135.595018 132.982395 130.406855 127.868053 125.365646 122.899293 120.468654 118.07339 115.713165 113.387643 111.096492 108.839379 106.615974 104.425948 102.268974 100.144727 98.052881 95.993115 93.965108 91.968541 90.003096 88.068456 86.164307 84.290337 82.446234 80.631687 78.84639 77.090035 75.362316 73.662932 71.991579 70.347958 68.731769 67.142716 65.580503 64.044836 62.535423 61.051972 59.594195 58.161804 56.754513 55.372037 54.014093 52.680401 51.37068 50.084652 48.82204 47.58257 46.365969 45.171963 44.000284 42.850662 41.72283 40.616524 39.531478 38.46743 37.42412 36.401289 35.398679 34.416034 33.453099 32.509622 31.585351 30.680037 29.793431 28.925287 28.075361 27.243408 26.429187 25.632458 24.852982 24.090521 23.344842 22.615709 21.902891 21.206156 20.525276 19.860023 19.210171 18.575496 17.955775 17.350786 16.76031 16.18413 15.622027 15.073789 14.539201 14.018051 13.510129 13.015228 12.533139 12.063658 11.60658 11.161704 10.728829 10.307755 9.898285 9.500224 9.113376 8.73755 8.372554 8.018198 7.674294 7.340657 7.017101 6.703442 6.3995 6.105094 5.820046 5.544178 5.277316 5.019285 4.769914 4.529031 4.296469 4.072058 3.855634 3.647032 3.44609 3.252646 3.066541 2.887617 2.715718 2.550688 2.392375 2.240626 2.095293 1.956226 1.823279 1.696306 1.575163 1.459709 1.349803 1.245306 1.14608 1.051991 0.962902 0.878683 0.799201 0.724328 0.653935 0.587896 0.526087 0.468383 0.414665 0.364811 0.318704 0.276226 0.237263 0.2017 0.169425 0.140329 0.114301 0.091236 0.071026 0.053569 0.03876 0.0265 0.016689 0.009229 0.004024 0.000978 0 0.000997 0.00388 0.00856 0.014951 0.022966 0.032524 0.043541 0.055937 0.069634 0.084553 0.10062 0.117761 0.135902 0.154972 0.174904 0.195628 0.217078 0.23919 0.261901 0.285149 0.308875 0.33302 0.357527 0.382342 0.407411 0.432681 0.458102 0.483627 0.509206 0.534796 0.560351 0.585829 0.61119 0.636394 0.661403 0.686181 0.710694 0.734908 0.758793 0.782318 0.805455 0.828177 0.85046 0.87228 0.893615 0.914445 0.93475 0.954514 0.973722 0.992359 1.010412 1.027871 1.044727 1.060972 1.0766 1.091606 1.105988 1.119744 1.132874 1.14538 1.157266 1.168536 1.179198 1.189259 1.198728 1.207618 1.215942 1.223712 1.230947 1.237663 1.243879 1.249617 1.254898 1.259747 1.26419 1.268252 1.271964 1.275355 1.278458 1.281305 1.283931 1.286374 1.288672 1.290864 1.292991 1.295097 1.297227 1.299425 1.30174 1.304222 1.306921 1.309889 1.313181 1.316851 1.320959 1.325561 1.330718 1.336493 1.342949 1.35015 1.358165 1.36706 1.376905 1.387773 1.399736 1.412868 1.427247 1.442949 1.460054 1.478642 1.498797 1.520603 1.544144 1.569509 1.596785 1.626065 1.657438 1.691 1.726845 1.76507 1.805772 1.849053 1.895014 1.943757 1.995388 2.050012 2.107737 2.168673 2.23293 2.300621 2.371861 2.446765 2.52545 2.608035 2.694641 2.78539 2.880404 2.979811 3.083735 3.192306 3.305654 3.423909 3.547206 3.675679 3.809463 3.948698
ITEM END
# Torsion parameters
ITEM TORSION
# type1 type2 type3 type4 T t TABLE n x0 dx table
A A A A T 300 TABLE 629 -3.14 0.01
3.51952 3.519539 3.519597 3.519693 3.519827 3.520001 3.520213 3.520465 3.520757 3.521089 3.521462 3.521875 3.522331 3.522829 3.52337 3.523955 3.524585 3.525261 3.525983 3.526752 3.52757 3.528437 3.529354 3.530324 3.531346 3.532421 3.533552 3.53474 3.535985 3.537288 3.538653 3.540079 3.541568 3.543121 3.54474 3.546427 3.548182 3.550007 3.551904 3.553874 3.555919 3.55804 3.560238 3.562515 3.564873 3.567313 3.569836 3.572443 3.575137 3.577919 3.58079 3.58375 3.586803 3.589948 3.593188 3.596523 3.599955 3.603484 3.607112 3.610841 3.61467 3.618601 3.622636 3.626774 3.631017 3.635365 3.63982 3.644381 3.64905 3.653827 3.658713 3.663707 3.668811 3.674025 3.679348 3.684781 3.690325 3.695978 3.701742 3.707616 3.713599 3.719692 3.725894 3.732205 3.738623 3.74515 3.751783 3.758523 3.765368 3.772318 3.779371 3.786527 3.793784 3.801141 3.808597 3.816151 3.823801 3.831546 3.839384 3.847313 3.855332 3.863439 3.871632 3.879909 3.888269 3.896708 3.905226 3.913819 3.922486 3.931225 3.940032 3.948905 3.957843 3.966842 3.9759 3.985014 3.994182 4.003401 4.012668 4.021979 4.031334 4.040728 4.050158 4.059622 4.069117 4.078639 4.088186 4.097755 4.107342 4.116944 4.126559 4.136183 4.145812 4.155445 4.165077 4.174706 4.184328 4.193941 4.20354 4.213124 4.222688 4.23223 4.241746 4.251234 4.260691 4.270113 4.279497 4.28884 4.29814 4.307394 4.316598 4.32575 4.334846 4.343885 4.352862 4.361777 4.370625 4.379405 4.388113 4.396748 4.405307 4.413786 4.422185 4.430501 4.438731 4.446873 4.454925 4.462886 4.470753 4.478524 4.486197 4.493771 4.501243 4.508613 4.515879 4.523038 4.53009 4.537034 4.543867 4.55059 4.5572 4.563696 4.570078 4.576345 4.582495 4.588529 4.594445 4.600242 4.605921 4.61148 4.616919 4.622239 4.627438 4.632517 4.637474 4.642312 4.647028 4.651624 4.6561 4.660456 4.664692 4.668808 4.672805 4.676684 4.680445 4.684088 4.687615 4.691027 4.694323 4.697505 4.700574 4.70353 4.706376 4.709111 4.711737 4.714256 4.716668 4.718975 4.721178 4.723278 4.725277 4.727177 4.728979 4.730684 4.732294 4.733811 4.735236 4.736571 4.737818 4.738978 4.740054 4.741046 4.741957 4.742789 4.743543 4.744222 4.744827 4.74536 4.745823 4.746218 4.746547 4.746812 4.747015 4.747158 4.747242 4.747271 4.747245 4.747167 4.747038 4.746862 4.746639 4.746371 4.746062 4.745712 4.745323 4.744898 4.744438 4.743945 4.743422 4.74287 4.74229 4.741686 4.741058 4.740409 4.739739 4.739052 4.738349 4.737631 4.7369 4.736158 4.735407 4.734647 4.733882 4.733112 4.732338 4.731564 4.730789 4.730015 4.729244 4.728478 4.727716 4.726962 4.726216 4.725479 4.724753 4.724039 4.723338 4.722651 4.721979 4.721324 4.720686 4.720066 4.719465 4.718884 4.718324 4.717787 4.717271 4.716779 4.716311 4.715868 4.71545 4.715058 4.714693 4.714354 4.714043 4.71376 4.713506 4.71328 4.713082 4.712915 4.712776 4.712667 4.712588 4.712539 4.71252 4.712531 4.712572 4.712643 4.712744 4.712874 4.713034 4.713223 4.713441 4.713688 4.713964 4.714267 4.714598 4.714956 4.715341 4.715752 4.716188 4.716649 4.717135 4.717644 4.718176 4.71873 4.719305 4.7199 4.720515 4.721148 4.721799 4.722467 4.72315 4.723847 4.724558 4.725281 4.726015 4.726758 4.72751 4.72827 4.729035 4.729805 4.730578 4.731353 4.732128 4.732901 4.733673 4.734439 4.735201 4.735954 4.736699 4.737433 4.738154 4.738862 4.739554 4.740228 4.740883 4.741517 4.742128 4.742715 4.743274 4.743806 4.744307 4.744776 4.745211 4.745609 4.74597 4.746291 4.74657 4.746806 4.746995 4.747137 4.747229 4.747269 4.747256 4.747187 4.74706 4.746874 4.746626 4.746314 4.745937 4.745493 4.744979 4.744394 4.743736 4.743002 4.742192 4.741302 4.740332 4.739279 4.738143 4.73692 4.735609 4.734208 4.732716 4.731132 4.729453 4.727677 4.725804 4.723832 4.72176 4.719585 4.717306 4.714923 4.712433 4.709837 4.707131 4.704316 4.70139 4.698351 4.6952 4.691935 4.688556 4.68506 4.681448 4.67772 4.673873 4.669908 4.665824 4.661621 4.657298 4.652855 4.648292 4.643608 4.638803 4.633878 4.628833 4.623666 4.61838 4.612973 4.607446 4.6018 4.596035 4.590151 4.58415 4.578031 4.571796 4.565445 4.55898 4.552401 4.545709 4.538905 4.531992 4.524969 4.517838 4.510602 4.50326 4.495815 4.488269 4.480622 4.472878 4.465037 4.457102 4.449074 4.440956 4.43275 4.424457 4.416081 4.407623 4.399086 4.390472 4.381783 4.373022 4.364193 4.355296 4.346335 4.337313 4.328232 4.319095 4.309905 4.300664 4.291377 4.282045 4.272671 4.263259 4.253812 4.244332 4.234823 4.225288 4.215729 4.206151 4.196556 4.186946 4.177326 4.167699 4.158067 4.148435 4.138804 4.129178 4.119561 4.109955 4.100363 4.090789 4.081236 4.071707 4.062204 4.052732 4.043292 4.033888 4.024522 4.015198 4.005919 3.996687 3.987505 3.978376 3.969303 3.960287 3.951333 3.942441 3.933616 3.924858 3.916172 3.907558 3.89902 3.890559 3.882177 3.873877 3.865661 3.85753 3.849487 3.841533 3.833671 3.8259 3.818224 3.810644 3.803161 3.795777 3.788492 3.781309 3.774228 3.76725 3.760376 3.753608 3.746945 3.74039 3.733941 3.727601 3.72137 3.715247 3.709234 3.70333 3.697537 3.691853 3.68628 3.680816 3.675463 3.67022 3.665086 3.660062 3.655147 3.65034 3.645642 3.641051 3.636567 3.63219 3.627919 3.623752 3.61969 3.61573 3.611873 3.608117 3.604462 3.600906 3.597448 3.594086 3.590821 3.58765 3.584572 3.581587 3.578692 3.575886 3.573168 3.570537 3.567991 3.565529 3.563149 3.56085 3.55863 3.556489 3.554423 3.552433 3.550516 3.548672 3.546898 3.545193 3.543555 3.541984 3.540478 3.539035 3.537654 3.536334 3.535073 3.53387 3.532724 3.531633 3.530597 3.529613 3.528682 3.527801 3.52697 3.526187 3.525453 3.524765 3.524123 3.523525 3.522972 3.522462 3.521995 3.52157 3.521186 3.520843 3.520541 3.520278 3.520055 3.519871 3.519726 3.519619 3.519551 3.519521
B A A B T 300 TABLE 629 -3.14 0.01
4.1066 4.106618 4.106672 4.106763 4.10689 4.107055 4.107257 4.107498 4.107778 4.108099 4.108461 4.108866 4.109316 4.109811 4.110353 4.110945 4.111587 4.112282 4.113032 4.113839 4.114704 4.115631 4.116622 4.117679 4.118804 4.12 4.12127 4.122615 4.12404 4.125545 4.127135 4.12881 4.130576 4.132432 4.134384 4.136432 4.138579 4.140829 4.143183 4.145643 4.148213 4.150894 4.153688 4.156598 4.159625 4.162771 4.166038 4.169428 4.172941 4.17658 4.180345 4.184237 4.188258 4.192407 4.196685 4.201094 4.205632 4.210299 4.215096 4.220022 4.225076 4.230257 4.235565 4.240997 4.246552 4.252229 4.258026 4.26394 4.269968 4.276108 4.282357 4.288712 4.29517 4.301726 4.308377 4.315118 4.321946 4.328855 4.335842 4.342899 4.350024 4.357209 4.36445 4.371739 4.379072 4.386442 4.393841 4.401264 4.408704 4.416153 4.423605 4.431051 4.438484 4.445897 4.453281 4.460628 4.467931 4.475182 4.482371 4.48949 4.496532 4.503486 4.510346 4.517101 4.523744 4.530265 4.536656 4.542907 4.549011 4.554959 4.560741 4.566349 4.571775 4.577009 4.582044 4.586871 4.591482 4.595868 4.600022 4.603936 4.607601 4.611011 4.614158 4.617035 4.619634 4.621949 4.623973 4.625701 4.627125 4.62824 4.62904 4.629521 4.629676 4.629501 4.628992 4.628144 4.626954 4.625417 4.623532 4.621294 4.618701 4.615752 4.612444 4.608775 4.604745 4.600353 4.595597 4.590479 4.584999 4.579157 4.572954 4.566392 4.559472 4.552197 4.54457 4.536593 4.528269 4.519602 4.510597 4.501257 4.491588 4.481595 4.471283 4.460657 4.449725 4.438492 4.426966 4.415154 4.403063 4.3907 4.378075 4.365195 4.352069 4.338706 4.325115 4.311306 4.297287 4.28307 4.268664 4.25408 4.239328 4.224418 4.209362 4.194171 4.178855 4.163426 4.147895 4.132274 4.116575 4.100808 4.084986 4.069121 4.053223 4.037305 4.021379 4.005457 3.989549 3.973668 3.957826 3.942033 3.926302 3.910643 3.895068 3.879588 3.864214 3.848957 3.833827 3.818834 3.80399 3.789303 3.774784 3.760443 3.746288 3.732329 3.718574 3.705032 3.691711 3.678619 3.665764 3.653153 3.640793 3.62869 3.616852 3.605283 3.593989 3.582976 3.572249 3.561812 3.551668 3.541823 3.532278 3.523038 3.514105 3.50548 3.497166 3.489165 3.481476 3.474101 3.46704 3.460293 3.45386 3.447738 3.441928 3.436428 3.431234 3.426346 3.42176 3.417472 3.413481 3.409781 3.406369 3.40324 3.40039 3.397813 3.395503 3.393456 3.391666 3.390125 3.388828 3.387767 3.386937 3.386329 3.385937 3.385752 3.385767 3.385975 3.386366 3.386933 3.387667 3.38856 3.389603 3.390787 3.392105 3.393546 3.395103 3.396765 3.398526 3.400374 3.402302 3.404301 3.406362 3.408476 3.410634 3.412828 3.41505 3.41729 3.419542 3.421795 3.424044 3.426279 3.428494 3.43068 3.432831 3.43494 3.436999 3.439002 3.440944 3.442817 3.444616 3.446336 3.447972 3.449517 3.450969 3.452322 3.453573 3.454717 3.455752 3.456675 3.457482 3.458171 3.458741 3.45919 3.459517 3.45972 3.459799 3.459754 3.459584 3.459291 3.458876 3.458338 3.457681 3.456906 3.456015 3.45501 3.453895 3.452673 3.451347 3.449922 3.448402 3.44679 3.445093 3.443314 3.441461 3.439537 3.43755 3.435505 3.43341 3.43127 3.429092 3.426885 3.424654 3.422408 3.420155 3.417902 3.415658 3.413431 3.411228 3.409059 3.406932 3.404856 3.40284 3.400892 3.39902 3.397235 3.395545 3.393959 3.392485 3.391133 3.389912 3.388829 3.387894 3.387116 3.386503 3.386063 3.385805 3.385737 3.385866 3.386201 3.38675 3.387519 3.388516 3.389748 3.391222 3.392944 3.39492 3.397158 3.399661 3.402437 3.405489 3.408824 3.412445 3.416357 3.420563 3.425067 3.429873 3.434983 3.4404 3.446126 3.452162 3.458511 3.465172 3.472148 3.479437 3.48704 3.494957 3.503186 3.511726 3.520576 3.529733 3.539194 3.548958 3.559021 3.569379 3.580027 3.590963 3.602181 3.613675 3.625441 3.637472 3.649763 3.662306 3.675096 3.688124 3.701383 3.714865 3.728563 3.742468 3.75657 3.770862 3.785333 3.799975 3.814778 3.829731 3.844825 3.860048 3.875392 3.890844 3.906394 3.922031 3.937744 3.953521 3.969351 3.985223 4.001124 4.017044 4.03297 4.048891 4.064795 4.080671 4.096506 4.112288 4.128007 4.143651 4.159207 4.174665 4.190013 4.205239 4.220333 4.235284 4.25008 4.264711 4.279167 4.293436 4.307509 4.321377 4.335028 4.348454 4.361645 4.374593 4.387289 4.399724 4.411889 4.423779 4.435383 4.446696 4.457711 4.468421 4.478819 4.4889 4.498657 4.508087 4.517184 4.525943 4.534361 4.542433 4.550156 4.557527 4.564543 4.571203 4.577504 4.583444 4.589023 4.59424 4.599094 4.603585 4.607714 4.611481 4.614887 4.617934 4.620623 4.622958 4.624939 4.62657 4.627854 4.628795 4.629396 4.629661 4.629595 4.629203 4.628489 4.627459 4.626119 4.624473 4.622529 4.620293 4.61777 4.614968 4.611894 4.608555 4.604959 4.601112 4.597023 4.592699 4.588148 4.583379 4.5784 4.573219 4.567845 4.562285 4.55655 4.550647 4.544584 4.538372 4.532018 4.525532 4.518921 4.512196 4.505364 4.498434 4.491415 4.484316 4.477145 4.469911 4.462621 4.455285 4.44791 4.440504 4.433076 4.425633 4.418182 4.410732 4.403289 4.39586 4.388453 4.381075 4.373732 4.36643 4.359175 4.351974 4.344833 4.337756 4.33075 4.323819 4.316969 4.310203 4.303527 4.296945 4.29046 4.284077 4.277799 4.271629 4.265569 4.259624 4.253796 4.248086 4.242497 4.237031 4.23169 4.226474 4.221385 4.216424 4.211592 4.206889 4.202316 4.197873 4.193559 4.189374 4.185319 4.181392 4.177592 4.173919 4.170372 4.166949 4.163649 4.16047 4.15741 4.154469 4.151643 4.148932 4.146332 4.143842 4.141459 4.139182 4.137007 4.134932 4.132954 4.131072 4.129282 4.127582 4.125969 4.124441 4.122995 4.121628 4.120338 4.119123 4.117978 4.116903 4.115895 4.114951 4.114068 4.113246 4.112481 4.111771 4.111115 4.110509 4.109954 4.109446 4.108984 4.108567 4.108193 4.107861 4.10757 4.107319 4.107106 4.106931 4.106794 4.106693 4.106629 4.106601
ITEM END