import argparse
import collections
import logging
import io
import itertools
import hoomd
import flowws
from flowws import Argument as Arg
import numpy as np
logger = logging.getLogger(__name__)
[docs]@flowws.add_stage_arguments
class Damasceno2017Interaction(flowws.Stage):
"""Specify a new interaction potential from the paper "Non-close-packed three-dimensional quasicrystals" to include in future MD stages
These interactions are taken directly from the supplemental
information of the paper (Journal of Physics: Condensed Matter,
Volume 29, Number 23; DOI 10.1088/1361-648X/aa6cc1).
The SI provides 10 potentials with different well depth epsilon;
currently this stage will select the reported potential with the
nearest well depth to the given value.
"""
ARGS = [
Arg('reset', '-r', bool, False,
help='Disable previously-defined interactions'),
Arg('depth', '-d', float, required=True,
help='Well depth epsilon (the nearest reported potential is used)'),
]
[docs] def run(self, scope, storage):
"""Registers this object to provide a force compute in future MD stages"""
callbacks = scope.setdefault('callbacks', collections.defaultdict(list))
if self.arguments['reset']:
pre_run_callbacks = [c for c in callbacks['pre_run']
if not isinstance(c, Damasceno2017Interaction)]
callbacks['pre_run'] = pre_run_callbacks
return
# subtract 1 to change index from from counting numbers (as
# reported in the paper) to list indices (as used in this
# module)
potential_index = int(round((2.2 + self.arguments['depth'])/0.4)) - 1
if potential_index < 0 or potential_index >= len(SI_TABLE_POTENTIALS):
logger.warning('Potential well depth out of range, using the closest one in range instead')
potential_index = np.clip(potential_index, 0, 9)
potential_table_data = SI_TABLE_POTENTIALS[potential_index]
potential_table_data = io.StringIO(potential_table_data)
potential_table = np.loadtxt(potential_table_data).reshape((-1, 3))
self.table_data = potential_table.T
callbacks['pre_run'].append(self)
scope.setdefault('visuals', []).append(self)
def __call__(self, scope, storage, context):
"""Callback to be performed before each run command.
Initializes a pair potential interaction based on per-type
shape information.
"""
nlist = hoomd.md.nlist.tree()
system = scope['system']
(rs, Us, Fs) = self.table_data
width = len(rs)
rmin, rmax = np.min(rs), np.max(rs)
dr = (rmax - rmin)/(width - 1)
def local_table_grabber(r, rmin, rmax):
idx = int(np.round((r - rmin)/dr))
return Us[idx], Fs[idx]
table = hoomd.md.pair.table(width=width, nlist=nlist)
all_types = list(system.particles.types)
table.pair_coeff.set(
all_types, all_types,
func=local_table_grabber, rmin=rmin, rmax=rmax, coeff={})
def draw_matplotlib(self, figure):
ax = figure.add_subplot(111)
ax.plot(self.table_data[0], self.table_data[1])
ax.set_xlabel('r')
ax.set_ylabel('Potential')
# contents of "potential.01.dat" through "potential.10.dat" from the
# SI. Note that the well depth varies as -2.2 + 0.4*n and that the
# epsilon term is *subtracted* from the potential, not added (see the
# final published version of the paper, not the arxiv preprint). Each
# row contains "r, energy, force" data.
SI_TABLE_POTENTIALS = []
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83864 490.93773
0.32 126.25101 467.91539
0.34 117.11845 445.42915
0.36 108.43028 423.47738
0.38 100.17581 402.05816
0.4 92.344416 381.16932
0.42 84.925517 360.80839
0.44 77.908579 340.97274
0.46 71.283124 321.65953
0.48 65.038734 302.86591
0.5 59.165043 284.58909
0.52 53.651742 266.82653
0.54 48.488567 249.57613
0.56 43.665291 232.83648
0.58 39.171707 216.60707
0.6 34.997603 200.88862
0.62 31.132741 185.68327
0.64 27.566826 170.99482
0.66 24.289466 156.82893
0.68 21.290135 143.19321
0.7 18.558139 130.09723
0.72 16.082572 117.55241
0.74 13.852282 105.5718
0.76 11.855843 94.169712
0.78 10.081536 83.361221
0.8 8.5173357 73.161538
0.82 7.1509179 63.58531
0.84 5.9696778 54.64584
0.86 4.9607641 46.354303
0.88 4.11113 38.718996
0.9 3.4075968 31.744669
0.92 2.8369311 25.432008
0.94 2.3859292 19.777293
0.96 2.041507 14.772291
0.98 1.7907894 10.404385
1. 1.6211944 6.6569532
1.02 1.5205075 3.5099886
1.04 1.4769418 0.9409217
1.06 1.4791789 -1.0743984
1.08 1.5163906 -2.5606232
1.1 1.5782372 -3.5417931
1.12 1.6548449 -4.0402634
1.14 1.7367619 -4.0757363
1.16 1.8148969 -3.6644568
1.18 1.880444 -2.8186173
1.2 1.9253913 -1.6626294
1.22 1.9467745 -0.47177662
1.24 1.9440978 0.74390151
1.26 1.9168195 1.9895369
1.28 1.8642598 3.2737445
1.3 1.7855369 4.6079478
1.32 1.679519 6.0056206
1.34 1.5462424 7.2610051
1.36 1.3914707 8.1576386
1.38 1.2222284 8.7105069
1.4 1.0452472 8.9338151
1.42 0.86698652 8.8404658
1.44 0.69366419 8.4417065
1.46 0.53128295 7.7529135
1.48 0.38411531 6.9611986
1.5 0.25292481 6.1559525
1.52 0.13794282 5.3408098
1.54 0.039344829 4.5177579
1.56 -0.042718819 3.6873656
1.58 -0.1080971 2.8490389
1.6 -0.15665479 2.0141046
1.62 -0.18940797 1.2817212
1.64 -0.20873501 0.67103637
1.66 -0.21704208 0.17924771
1.68 -0.21667844 -0.19651031
1.7 -0.2099365 -0.45903829
1.72 -0.19905412 -0.6109777
1.74 -0.1861206 -0.67705052
1.76 -0.17200599 -0.73406984
1.78 -0.15676543 -0.7899375
1.8 -0.14040536 -0.84626675
1.82 -0.1229026 -0.90441225
1.84 -0.10420926 -0.96549191
1.86 -0.084257268 -1.0304133
1.88 -0.062978734 -1.0970974
1.9 -0.040387134 -1.1617574
1.92 -0.016519289 -1.2247865
1.94 0.0085957342 -1.2865243
1.96 0.034934799 -1.3472275
1.98 0.062479222 -1.4070873
2. 0.091213587 -1.4661997
2.02 0.12108848 -1.5198448
2.04 0.15194979 -1.5648506
2.06 0.18362526 -1.6012694
2.08 0.21594356 -1.6291377
2.1 0.24873394 -1.648481
2.12 0.28182609 -1.6593168
2.14 0.31504251 -1.6582531
2.16 0.34774369 -1.5999695
2.18 0.37856547 -1.4703133
2.2 0.40608043 -1.2692881
2.22 0.42886122 -0.99689606
2.24 0.4454805 -0.6531386
2.26 0.454511 -0.23801663
2.28 0.4546137 0.22449863
2.3 0.4460554 0.6170502
2.32 0.43050296 0.92391249
2.34 0.40967016 1.1450853
2.36 0.38527081 1.2805687
2.38 0.35901868 1.3303625
2.4 0.33262757 1.2944668
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83796 490.94933
0.32 126.25005 467.93118
0.34 117.11713 445.45045
0.36 108.42846 423.50582
0.38 100.17334 402.09577
0.4 92.341079 381.21854
0.42 84.921055 360.87218
0.44 77.902667 341.05456
0.46 71.275363 321.76343
0.48 65.028635 302.9965
0.5 59.152023 284.75154
0.52 53.635107 267.02652
0.54 48.467507 249.81976
0.56 43.63887 233.13012
0.58 39.138858 216.95721
0.6 34.957133 201.30159
0.62 31.083335 186.16498
0.64 27.507054 171.55043
0.66 24.217807 157.46245
0.68 21.205005 143.90714
0.7 18.45792 130.89215
0.72 15.965656 118.42662
0.74 13.717123 106.52098
0.76 11.701008 95.186699
0.78 9.9057654 84.435819
0.8 8.3196047 74.280516
0.82 6.9304959 64.732506
0.84 5.7261844 55.802433
0.86 4.6942189 47.499236
0.88 3.8219909 39.829553
0.9 3.0967873 32.797184
0.92 2.5058504 26.402676
0.94 2.0364468 20.643056
0.96 1.6759387 15.511736
0.98 1.4118553 10.998623
1. 1.2319605 7.0904182
1.02 1.1243121 3.7711174
1.04 1.0773098 1.0226646
1.06 1.0797285 -1.174261
1.08 1.120735 -2.8393805
1.1 1.1898869 -3.9919264
1.12 1.2771146 -4.6497827
1.14 1.372686 -4.8287114
1.16 1.4671576 -4.5417083
1.18 1.5513139 -3.7985275
1.2 1.6166937 -2.7220235
1.22 1.6598611 -1.5868265
1.24 1.6798446 -0.4031976
1.26 1.6756394 0.83296854
1.28 1.6461302 2.128564
1.3 1.5900401 3.4927274
1.32 1.5058923 4.9362379
1.34 1.3934347 6.2503904
1.36 1.2582027 7.215676
1.38 1.1070534 7.8440764
1.4 0.94660951 8.1469556
1.42 0.7832762 8.1346356
1.44 0.62326509 7.8161145
1.46 0.47261417 7.2048937
1.48 0.33566474 6.4866033
1.5 0.21327486 5.7495405
1.52 0.10578859 4.9966134
1.54 0.013505241 4.2294115
1.56 -0.063295953 3.4483903
1.58 -0.12433523 2.6530742
1.6 -0.1693529 1.8550896
1.62 -0.19924795 1.1540252
1.64 -0.21629116 0.56954349
1.66 -0.22279197 0.099402666
1.68 -0.22101425 -0.25868972
1.7 -0.21317641 -0.50697416
1.72 -0.20145321 -0.64756382
1.74 -0.18788101 -0.70469688
1.76 -0.17328605 -0.75475446
1.78 -0.15768779 -0.80526125
1.8 -0.14106396 -0.85750787
1.82 -0.12336861 -0.91257803
1.84 -0.10453602 -0.97136606
1.86 -0.084484306 -1.034598
1.88 -0.063135059 -1.1000498
1.9 -0.040493796 -1.1638203
1.92 -0.016591407 -1.2262141
1.94 0.0085474142 -1.2875028
1.96 0.034902717 -1.3478917
1.98 0.062458114 -1.407534
2. 0.091199825 -1.4664971
2.02 0.12107959 -1.520041
2.04 0.1519441 -1.5649788
2.06 0.18362165 -1.6013524
2.08 0.21594129 -1.6291909
2.1 0.24873253 -1.6485148
2.12 0.28182521 -1.659338
2.14 0.31504197 -1.6582663
2.16 0.34774337 -1.5999776
2.18 0.37856528 -1.4703183
2.2 0.40608032 -1.2692911
2.22 0.42886115 -0.99689788
2.24 0.44548046 -0.65313968
2.26 0.45451097 -0.23801726
2.28 0.45461369 0.22449826
2.3 0.44605539 0.61704999
2.32 0.43050295 0.92391236
2.34 0.40967016 1.1450853
2.36 0.3852708 1.2805687
2.38 0.35901868 1.3303625
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83728 490.96093
0.32 126.2491 467.94698
0.34 117.11581 445.47175
0.36 108.42665 423.53427
0.38 100.17086 402.13337
0.4 92.337742 381.26776
0.42 84.916593 360.93596
0.44 77.896756 341.13638
0.46 71.267601 321.86733
0.48 65.018537 303.12709
0.5 59.139004 284.91399
0.52 53.618473 267.22651
0.54 48.446448 250.06338
0.56 43.612448 233.42376
0.58 39.106009 217.30734
0.6 34.916664 201.71456
0.62 31.033928 186.6467
0.64 27.447281 172.10604
0.66 24.146149 158.09598
0.68 21.119875 144.62107
0.7 18.3577 131.68707
0.72 15.848741 119.30083
0.74 13.581964 107.47017
0.76 11.546173 96.203686
0.78 9.7299947 85.510418
0.8 8.1218736 75.399494
0.82 6.7100738 65.879703
0.84 5.4826911 56.959026
0.86 4.4276736 48.64417
0.88 3.5328519 40.94011
0.9 2.7859777 33.849698
0.92 2.1747696 27.373345
0.94 1.6869644 21.508819
0.96 1.3103704 16.251181
0.98 1.0329212 11.59286
1. 0.84272655 7.5238832
1.02 0.72811659 4.0322463
1.04 0.67767783 1.1044075
1.06 0.68027817 -1.2741236
1.08 0.72507941 -3.1181379
1.1 0.80153662 -4.4420597
1.12 0.89938429 -5.2593021
1.14 1.0086101 -5.5816865
1.16 1.1194182 -5.4189598
1.18 1.2221838 -4.7784376
1.2 1.3079961 -3.7814177
1.22 1.3729477 -2.7018763
1.24 1.4155914 -1.5502967
1.26 1.4344593 -0.32359983
1.28 1.4280005 0.98338336
1.3 1.3945433 2.3775069
1.32 1.3322656 3.8668551
1.34 1.240627 5.2397756
1.36 1.1249346 6.2737134
1.38 0.99187834 6.9776459
1.4 0.84797185 7.360096
1.42 0.69956588 7.4288054
1.44 0.55286599 7.1905225
1.46 0.41394539 6.656874
1.48 0.28721417 6.0120079
1.5 0.17362492 5.3431286
1.52 0.073634354 4.652417
1.54 -0.012334347 3.9410652
1.56 -0.083873087 3.2094149
1.58 -0.14057336 2.4571095
1.6 -0.18205101 1.6960746
1.62 -0.20908792 1.0263292
1.64 -0.22384732 0.46805061
1.66 -0.22854186 0.019557624
1.68 -0.22535006 -0.32086913
1.7 -0.21641631 -0.55491003
1.72 -0.2038523 -0.68414995
1.74 -0.18964141 -0.73234325
1.76 -0.17456612 -0.77543908
1.78 -0.15861015 -0.82058501
1.8 -0.14172256 -0.86874899
1.82 -0.12383462 -0.9207438
1.84 -0.10486277 -0.97724021
1.86 -0.084711344 -1.0387827
1.88 -0.063291384 -1.1030022
1.9 -0.040600458 -1.1658832
1.92 -0.016663525 -1.2276417
1.94 0.0084990943 -1.2884813
1.96 0.034870635 -1.348556
1.98 0.062437006 -1.4079806
2. 0.091186062 -1.4667946
2.02 0.1210707 -1.5202372
2.04 0.1519384 -1.565107
2.06 0.18361804 -1.6014353
2.08 0.21593902 -1.6292441
2.1 0.24873111 -1.6485486
2.12 0.28182434 -1.6593593
2.14 0.31504144 -1.6582796
2.16 0.34774304 -1.5999858
2.18 0.37856508 -1.4703233
2.2 0.4060802 -1.2692942
2.22 0.42886108 -0.9968997
2.24 0.44548043 -0.65314076
2.26 0.45451095 -0.2380179
2.28 0.45461368 0.22449789
2.3 0.44605538 0.61704977
2.32 0.43050295 0.92391224
2.34 0.40967016 1.1450852
2.36 0.3852708 1.2805686
2.38 0.35901868 1.3303625
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.8366 490.97253
0.32 126.24815 467.96278
0.34 117.11449 445.49306
0.36 108.42483 423.56271
0.38 100.16839 402.17098
0.4 92.334405 381.31698
0.42 84.912132 360.99974
0.44 77.890844 341.2182
0.46 71.25984 321.97123
0.48 65.008439 303.25768
0.5 59.125984 285.07644
0.52 53.601839 267.42649
0.54 48.425388 250.307
0.56 43.586027 233.71739
0.58 39.073161 217.65748
0.6 34.876195 202.12753
0.62 30.984521 187.12842
0.64 27.387509 172.66165
0.66 24.074491 158.7295
0.68 21.034745 145.33501
0.7 18.257481 132.482
0.72 15.731825 120.17504
0.74 13.446804 108.41936
0.76 11.391337 97.220672
0.78 9.5542239 86.585016
0.8 7.9241426 76.518472
0.82 6.4896518 67.0269
0.84 5.2391978 58.11562
0.86 4.1611283 49.789103
0.88 3.2437128 42.050667
0.9 2.4751681 34.902212
0.92 1.8436889 28.344013
0.94 1.337482 22.374582
0.96 0.94480205 16.990626
0.98 0.65398711 12.187098
1. 0.45349264 7.9573483
1.02 0.3319211 4.2933751
1.04 0.27804584 1.1861504
1.06 0.28082779 -1.3739861
1.08 0.32942383 -3.3968952
1.1 0.41318634 -4.8921929
1.12 0.52165399 -5.8688214
1.14 0.64453425 -6.3346616
1.16 0.77167888 -6.2962113
1.18 0.89305368 -5.7583477
1.2 0.99929842 -4.8408118
1.22 1.0860343 -3.8169261
1.24 1.1513382 -2.6973958
1.26 1.1932791 -1.4801682
1.28 1.2098709 -0.16179723
1.3 1.1990465 1.2622864
1.32 1.1586389 2.7974723
1.34 1.0878192 4.2291609
1.36 0.99166662 5.3317508
1.38 0.87670329 6.1112154
1.4 0.74933418 6.5732365
1.42 0.61585556 6.7229752
1.44 0.48246689 6.5649305
1.46 0.35527661 6.1088543
1.48 0.2387636 5.5374126
1.5 0.13397498 4.9367167
1.52 0.041480121 4.3082205
1.54 -0.038173935 3.6527189
1.56 -0.10445022 2.9704396
1.58 -0.15681149 2.2611447
1.6 -0.19474912 1.5370596
1.62 -0.2189279 0.89863311
1.64 -0.23140347 0.36655773
1.66 -0.23429175 -0.060287418
1.68 -0.22968586 -0.38304855
1.7 -0.21965622 -0.6028459
1.72 -0.20625139 -0.72073607
1.74 -0.19140182 -0.75998961
1.76 -0.17584618 -0.7961237
1.78 -0.15953251 -0.83590876
1.8 -0.14238116 -0.8799901
1.82 -0.12430063 -0.92890958
1.84 -0.10518952 -0.98311436
1.86 -0.084938382 -1.0429675
1.88 -0.063447709 -1.1059546
1.9 -0.04070712 -1.1679462
1.92 -0.016735642 -1.2290693
1.94 0.0084507743 -1.2894597
1.96 0.034838553 -1.3492202
1.98 0.062415897 -1.4084272
2. 0.0911723 -1.467092
2.02 0.12106181 -1.5204335
2.04 0.15193271 -1.5652353
2.06 0.18361443 -1.6015183
2.08 0.21593675 -1.6292973
2.1 0.2487297 -1.6485824
2.12 0.28182347 -1.6593806
2.14 0.31504091 -1.6582928
2.16 0.34774272 -1.599994
2.18 0.37856489 -1.4703283
2.2 0.40608008 -1.2692972
2.22 0.42886101 -0.99690152
2.24 0.44548039 -0.65314184
2.26 0.45451093 -0.23801854
2.28 0.45461366 0.22449751
2.3 0.44605538 0.61704956
2.32 0.43050294 0.92391212
2.34 0.40967015 1.1450851
2.36 0.3852708 1.2805686
2.38 0.35901868 1.3303625
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83592 490.98413
0.32 126.24719 467.97858
0.34 117.11317 445.51436
0.36 108.42301 423.59116
0.38 100.16592 402.20858
0.4 92.331068 381.3662
0.42 84.90767 361.06353
0.44 77.884933 341.30002
0.46 71.252078 322.07513
0.48 64.998341 303.38827
0.5 59.112964 285.23889
0.52 53.585205 267.62648
0.54 48.404328 250.55062
0.56 43.559605 234.01103
0.58 39.040312 218.00762
0.6 34.835725 202.54051
0.62 30.935114 187.61013
0.64 27.327737 173.21726
0.66 24.002833 159.36302
0.68 20.949615 146.04894
0.7 18.157261 133.27692
0.72 15.614909 121.04925
0.74 13.311645 109.36854
0.76 11.236502 98.237659
0.78 9.3784532 87.659614
0.8 7.7264115 77.63745
0.82 6.2692298 68.174096
0.84 4.9957045 59.272213
0.86 3.8945831 50.934036
0.88 2.9545738 43.161223
0.9 2.1643585 35.954727
0.92 1.5126082 29.314682
0.94 0.98799964 23.240346
0.96 0.57923373 17.730071
0.98 0.27505302 12.781335
1. 0.064258741 8.3908133
1.02 -0.064274377 4.5545039
1.04 -0.12158615 1.2678933
1.06 -0.11862259 -1.4738487
1.08 -0.066231757 -3.6756526
1.1 0.024836055 -5.3423262
1.12 0.14392368 -6.4783408
1.14 0.28045838 -7.0876367
1.16 0.42393953 -7.1734629
1.18 0.56392355 -6.7382579
1.2 0.69060078 -5.900206
1.22 0.79912091 -4.931976
1.24 0.88708499 -3.8444949
1.26 0.95209901 -2.6367366
1.28 0.99174124 -1.3069778
1.3 1.0035496 0.14706596
1.32 0.98501213 1.7280895
1.34 0.93501149 3.2185461
1.36 0.8583986 4.3897882
1.38 0.76152823 5.2447848
1.4 0.65069652 5.7863769
1.42 0.53214524 6.017145
1.44 0.4120678 5.9393385
1.46 0.29660783 5.5608345
1.48 0.19031303 5.0628172
1.5 0.094325031 4.5303047
1.52 0.0093258884 3.9640241
1.54 -0.064013522 3.3643726
1.56 -0.12502736 2.7314642
1.58 -0.17304963 2.06518
1.6 -0.20744723 1.3780447
1.62 -0.22876787 0.77093707
1.64 -0.23895963 0.26506485
1.66 -0.24004164 -0.14013246
1.68 -0.23402167 -0.44522796
1.7 -0.22289612 -0.65078177
1.72 -0.20865048 -0.75732219
1.74 -0.19316223 -0.78763598
1.76 -0.17712624 -0.81680832
1.78 -0.16045487 -0.85123252
1.8 -0.14303976 -0.89123122
1.82 -0.12476664 -0.93707536
1.84 -0.10551628 -0.98898851
1.86 -0.08516542 -1.0471522
1.88 -0.063604034 -1.108907
1.9 -0.040813782 -1.1700091
1.92 -0.01680776 -1.2304969
1.94 0.0084024543 -1.2904382
1.96 0.034806471 -1.3498845
1.98 0.062394789 -1.4088739
2. 0.091158538 -1.4673895
2.02 0.12105292 -1.5206297
2.04 0.15192702 -1.5653635
2.06 0.18361082 -1.6016013
2.08 0.21593448 -1.6293505
2.1 0.24872828 -1.6486162
2.12 0.28182259 -1.6594018
2.14 0.31504037 -1.6583061
2.16 0.3477424 -1.6000022
2.18 0.37856469 -1.4703333
2.2 0.40607997 -1.2693002
2.22 0.42886094 -0.99690334
2.24 0.44548035 -0.65314292
2.26 0.4545109 -0.23801918
2.28 0.45461365 0.22449714
2.3 0.44605537 0.61704934
2.32 0.43050294 0.92391199
2.34 0.40967015 1.1450851
2.36 0.3852708 1.2805686
2.38 0.35901867 1.3303624
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83524 490.99573
0.32 126.24624 467.99437
0.34 117.11184 445.53566
0.36 108.4212 423.6196
0.38 100.16344 402.24619
0.4 92.327731 381.41542
0.42 84.903208 361.12731
0.44 77.879021 341.38184
0.46 71.244317 322.17903
0.48 64.988242 303.51886
0.5 59.099945 285.40134
0.52 53.568571 267.82647
0.54 48.383268 250.79425
0.56 43.533184 234.30467
0.58 39.007464 218.35775
0.6 34.795256 202.95348
0.62 30.885707 188.09185
0.64 27.267964 173.77287
0.66 23.931174 159.99655
0.68 20.864485 146.76287
0.7 18.057042 134.07184
0.72 15.497993 121.92346
0.74 13.176486 110.31773
0.76 11.081667 99.254646
0.78 9.2026825 88.734212
0.8 7.5286805 78.756428
0.82 6.0488077 69.321293
0.84 4.7522111 60.428806
0.86 3.6280378 52.078969
0.88 2.6654347 44.27178
0.9 1.8535489 37.007241
0.92 1.1815274 30.28535
0.94 0.63851725 24.106109
0.96 0.21366541 18.469516
0.98 -0.10388106 13.375573
1. -0.32497516 8.8242783
1.02 -0.46046986 4.8156328
1.04 -0.52121813 1.3496362
1.06 -0.51807297 -1.5737113
1.08 -0.46188734 -3.9544099
1.1 -0.36351423 -5.7924595
1.12 -0.23380662 -7.0878601
1.14 -0.083617485 -7.8406117
1.16 0.076200191 -8.0507144
1.18 0.23479343 -7.718168
1.2 0.38190314 -6.9596002
1.22 0.5122075 -6.0470258
1.24 0.62283179 -4.991594
1.26 0.71091888 -3.7933049
1.28 0.77361161 -2.4521584
1.3 0.80805283 -0.96815452
1.32 0.81138541 0.65870675
1.34 0.78220377 2.2079314
1.36 0.72513059 3.4478257
1.38 0.64635318 4.3783543
1.4 0.55205885 4.9995174
1.42 0.44843492 5.3113148
1.44 0.3416687 5.3137465
1.46 0.23793905 5.0128148
1.48 0.14186246 4.5882219
1.5 0.054675087 4.1238928
1.52 -0.022828344 3.6198276
1.54 -0.08985311 3.0760263
1.56 -0.14560449 2.4924889
1.58 -0.18928776 1.8692153
1.6 -0.22014534 1.2190297
1.62 -0.23860785 0.64324103
1.64 -0.24651578 0.16357197
1.66 -0.24579152 -0.2199775
1.68 -0.23835748 -0.50740737
1.7 -0.22613603 -0.69871764
1.72 -0.21104957 -0.79390832
1.74 -0.19492263 -0.81528235
1.76 -0.1784063 -0.83749295
1.78 -0.16137723 -0.86655628
1.8 -0.14369836 -0.90247234
1.82 -0.12523265 -0.94524113
1.84 -0.10584303 -0.99486266
1.86 -0.085392458 -1.0513369
1.88 -0.063760358 -1.1118594
1.9 -0.040920443 -1.172072
1.92 -0.016879878 -1.2319245
1.94 0.0083541344 -1.2914167
1.96 0.034774389 -1.3505487
1.98 0.062373681 -1.4093205
2. 0.091144775 -1.4676869
2.02 0.12104403 -1.5208259
2.04 0.15192132 -1.5654917
2.06 0.18360721 -1.6016843
2.08 0.21593221 -1.6294037
2.1 0.24872687 -1.64865
2.12 0.28182172 -1.6594231
2.14 0.31503984 -1.6583193
2.16 0.34774207 -1.6000104
2.18 0.3785645 -1.4703383
2.2 0.40607985 -1.2693033
2.22 0.42886088 -0.99690516
2.24 0.44548031 -0.65314401
2.26 0.45451088 -0.23801981
2.28 0.45461364 0.22449677
2.3 0.44605536 0.61704913
2.32 0.43050293 0.92391187
2.34 0.40967015 1.145085
2.36 0.3852708 1.2805685
2.38 0.35901867 1.3303624
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83456 491.00733
0.32 126.24529 468.01017
0.34 117.11052 445.55697
0.36 108.41938 423.64805
0.38 100.16097 402.28379
0.4 92.324394 381.46465
0.42 84.898746 361.19109
0.44 77.873109 341.46366
0.46 71.236555 322.28292
0.48 64.978144 303.64945
0.5 59.086925 285.56379
0.52 53.551937 268.02645
0.54 48.362209 251.03787
0.56 43.506762 234.59831
0.58 38.974615 218.70789
0.6 34.754787 203.36645
0.62 30.8363 188.57357
0.64 27.208192 174.32849
0.66 23.859516 160.63007
0.68 20.779355 147.4768
0.7 17.956823 134.86676
0.72 15.381078 122.79767
0.74 13.041327 111.26691
0.76 10.926831 100.27163
0.78 9.0269118 89.808811
0.8 7.3309495 79.875406
0.82 5.8283857 70.468489
0.84 4.5087178 61.5854
0.86 3.3614925 53.223902
0.88 2.3762957 45.382337
0.9 1.5427393 38.059755
0.92 0.85044669 31.256019
0.94 0.28903486 24.971872
0.96 -0.15190291 19.208961
0.98 -0.48281515 13.96981
1. -0.71420906 9.2577434
1.02 -0.85666534 5.0767616
1.04 -0.92085012 1.4313791
1.06 -0.91752335 -1.6735739
1.08 -0.85754292 -4.2331673
1.1 -0.75186452 -6.2425928
1.12 -0.61153692 -7.6973795
1.14 -0.44769335 -8.5935868
1.16 -0.27153915 -8.9279659
1.18 -0.094336693 -8.6980782
1.2 0.073205509 -8.0189943
1.22 0.22529409 -7.1620756
1.24 0.3585786 -6.1386932
1.26 0.46973875 -4.9498733
1.28 0.55548197 -3.597339
1.3 0.61255602 -2.083375
1.32 0.63775868 -0.41067602
1.34 0.62939604 1.1973166
1.36 0.59186257 2.5058631
1.38 0.53117812 3.5119238
1.4 0.45342119 4.2126578
1.42 0.3647246 4.6054846
1.44 0.2712696 4.6881546
1.46 0.17927027 4.464795
1.48 0.093411891 4.1136265
1.5 0.015025143 3.7174809
1.52 -0.054982577 3.2756312
1.54 -0.1156927 2.78768
1.56 -0.16618162 2.2535135
1.58 -0.20552589 1.6732506
1.6 -0.23284345 1.0600147
1.62 -0.24844782 0.51554499
1.64 -0.25407193 0.062079085
1.66 -0.25154141 -0.29982254
1.68 -0.24269328 -0.56958678
1.7 -0.22937593 -0.74665352
1.72 -0.21344866 -0.83049444
1.74 -0.19668304 -0.84292871
1.76 -0.17968636 -0.85817757
1.78 -0.16229959 -0.88188003
1.8 -0.14435696 -0.91371346
1.82 -0.12569866 -0.95340691
1.84 -0.10616979 -1.0007368
1.86 -0.085619496 -1.0555216
1.88 -0.063916683 -1.1148118
1.9 -0.041027105 -1.174135
1.92 -0.016951995 -1.2333521
1.94 0.0083058144 -1.2923952
1.96 0.034742307 -1.3512129
1.98 0.062352573 -1.4097671
2. 0.091131013 -1.4679844
2.02 0.12103513 -1.5210221
2.04 0.15191563 -1.5656199
2.06 0.18360359 -1.6017673
2.08 0.21592994 -1.629457
2.1 0.24872545 -1.6486838
2.12 0.28182085 -1.6594443
2.14 0.3150393 -1.6583326
2.16 0.34774175 -1.6000185
2.18 0.3785643 -1.4703433
2.2 0.40607974 -1.2693063
2.22 0.42886081 -0.99690698
2.24 0.44548027 -0.65314509
2.26 0.45451086 -0.23802045
2.28 0.45461362 0.2244964
2.3 0.44605535 0.61704891
2.32 0.43050293 0.92391175
2.34 0.40967015 1.1450849
2.36 0.3852708 1.2805685
2.38 0.35901867 1.3303624
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83387 491.01893
0.32 126.24433 468.02597
0.34 117.1092 445.57827
0.36 108.41756 423.67649
0.38 100.1585 402.3214
0.4 92.321057 381.51387
0.42 84.894285 361.25487
0.44 77.867198 341.54548
0.46 71.228794 322.38682
0.48 64.968046 303.78003
0.5 59.073906 285.72624
0.52 53.535303 268.22644
0.54 48.341149 251.28149
0.56 43.480341 234.89195
0.58 38.941767 219.05802
0.6 34.714317 203.77942
0.62 30.786893 189.05529
0.64 27.148419 174.8841
0.66 23.787858 161.2636
0.68 20.694225 148.19073
0.7 17.856603 135.66168
0.72 15.264162 123.67188
0.74 12.906168 112.2161
0.76 10.771996 101.28862
0.78 8.851141 90.883409
0.8 7.1332184 80.994384
0.82 5.6079636 71.615686
0.84 4.2652245 62.741993
0.86 3.0949473 54.368835
0.88 2.0871566 46.492894
0.9 1.2319298 39.112269
0.92 0.51936595 32.226687
0.94 -0.060447536 25.837635
0.96 -0.51747123 19.948406
0.98 -0.86174924 14.564048
1. -1.103443 9.6912084
1.02 -1.2528608 5.3378905
1.04 -1.3204821 1.513122
1.06 -1.3169737 -1.7734365
1.08 -1.2531985 -4.5119246
1.1 -1.1402148 -6.6927261
1.12 -0.98926722 -8.3068988
1.14 -0.81176922 -9.3465619
1.16 -0.61927849 -9.8052174
1.18 -0.42346682 -9.6779883
1.2 -0.23549213 -9.0783885
1.22 -0.061619316 -8.2771255
1.24 0.094325397 -7.2857923
1.26 0.22855861 -6.1064416
1.28 0.33735234 -4.7425196
1.3 0.4170592 -3.1985955
1.32 0.46413196 -1.4800588
1.34 0.47658831 0.18670185
1.36 0.45859455 1.5639005
1.38 0.41600307 2.6454933
1.4 0.35478352 3.4257983
1.42 0.28101428 3.8996544
1.44 0.2008705 4.0625626
1.46 0.12060149 3.9167753
1.48 0.044961321 3.6390312
1.5 -0.024624802 3.3110689
1.52 -0.087136809 2.9314347
1.54 -0.14153229 2.4993337
1.56 -0.18675876 2.0145382
1.58 -0.22176402 1.4772858
1.6 -0.24554156 0.90099975
1.62 -0.2582878 0.38784895
1.64 -0.26162809 -0.039413796
1.66 -0.2572913 -0.37966759
1.68 -0.24702909 -0.6317662
1.7 -0.23261584 -0.79458939
1.72 -0.21584775 -0.86708057
1.74 -0.19844344 -0.87057508
1.76 -0.18096642 -0.87886219
1.78 -0.16322195 -0.89720379
1.8 -0.14501556 -0.92495458
1.82 -0.12616467 -0.96157269
1.84 -0.10649654 -1.006611
1.86 -0.085846534 -1.0597064
1.88 -0.064073008 -1.1177642
1.9 -0.041133767 -1.1761979
1.92 -0.017024113 -1.2347797
1.94 0.0082574944 -1.2933737
1.96 0.034710224 -1.3518772
1.98 0.062331465 -1.4102138
2. 0.091117251 -1.4682818
2.02 0.12102624 -1.5212184
2.04 0.15190994 -1.5657481
2.06 0.18359998 -1.6018503
2.08 0.21592767 -1.6295102
2.1 0.24872404 -1.6487176
2.12 0.28181997 -1.6594656
2.14 0.31503877 -1.6583458
2.16 0.34774142 -1.6000267
2.18 0.37856411 -1.4703483
2.2 0.40607962 -1.2693093
2.22 0.42886074 -0.9969088
2.24 0.44548023 -0.65314617
2.26 0.45451084 -0.23802109
2.28 0.45461361 0.22449603
2.3 0.44605535 0.6170487
2.32 0.43050293 0.92391162
2.34 0.40967015 1.1450849
2.36 0.3852708 1.2805684
2.38 0.35901867 1.3303624
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297348
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83319 491.03053
0.32 126.24338 468.04177
0.34 117.10788 445.59957
0.36 108.41575 423.70493
0.38 100.15602 402.359
0.4 92.31772 381.56309
0.42 84.889823 361.31866
0.44 77.861286 341.62731
0.46 71.221032 322.49072
0.48 64.957948 303.91062
0.5 59.060886 285.88868
0.52 53.518669 268.42643
0.54 48.320089 251.52511
0.56 43.453919 235.18559
0.58 38.908918 219.40816
0.6 34.673848 204.19239
0.62 30.737486 189.537
0.64 27.088647 175.43971
0.66 23.7162 161.89712
0.68 20.609094 148.90466
0.7 17.756384 136.45661
0.72 15.147246 124.54609
0.74 12.771008 113.16529
0.76 10.617161 102.30561
0.78 8.6753703 91.958007
0.8 6.9354874 82.113362
0.82 5.3875416 72.762882
0.84 4.0217311 63.898586
0.86 2.828402 55.513768
0.88 1.7980176 47.603451
0.9 0.92112017 40.164784
0.92 0.18828521 33.197356
0.94 -0.40992993 26.703398
0.96 -0.88303955 20.687851
0.98 -1.2406833 15.158285
1. -1.4926769 10.124673
1.02 -1.6490563 5.5990193
1.04 -1.7201141 1.594865
1.06 -1.7164241 -1.8732991
1.08 -1.6488541 -4.7906819
1.1 -1.5285651 -7.1428594
1.12 -1.3669975 -8.9164182
1.14 -1.1758451 -10.099537
1.16 -0.96701784 -10.682469
1.18 -0.75259694 -10.657898
1.2 -0.54418976 -10.137783
1.22 -0.34853272 -9.3921753
1.24 -0.1699278 -8.4328914
1.26 -0.012621518 -7.26301
1.28 0.1192227 -5.8877002
1.3 0.22156239 -4.3138159
1.32 0.29050524 -2.5494416
1.34 0.32378058 -0.8239129
1.36 0.32532653 0.62193791
1.38 0.30082801 1.7790628
1.4 0.25614586 2.6389387
1.42 0.19730396 3.1938242
1.44 0.1304714 3.4369706
1.46 0.061932713 3.3687555
1.48 -0.003489248 3.1644358
1.5 -0.064274746 2.904657
1.52 -0.11929104 2.5872383
1.54 -0.16737187 2.2109874
1.56 -0.20733589 1.7755628
1.58 -0.23800215 1.2813211
1.6 -0.25823967 0.74198478
1.62 -0.26812777 0.26015291
1.64 -0.26918424 -0.14090668
1.66 -0.26304119 -0.45951263
1.68 -0.2513649 -0.69394561
1.7 -0.23585574 -0.84252526
1.72 -0.21824684 -0.90366669
1.74 -0.20020385 -0.89822144
1.76 -0.18224648 -0.89954681
1.78 -0.16414431 -0.91252754
1.8 -0.14567417 -0.93619569
1.82 -0.12663068 -0.96973847
1.84 -0.1068233 -1.0124851
1.86 -0.086073572 -1.0638911
1.88 -0.064229333 -1.1207166
1.9 -0.041240429 -1.1782609
1.92 -0.017096231 -1.2362073
1.94 0.0082091745 -1.2943521
1.96 0.034678142 -1.3525414
1.98 0.062310356 -1.4106604
2. 0.091103488 -1.4685793
2.02 0.12101735 -1.5214146
2.04 0.15190425 -1.5658764
2.06 0.18359637 -1.6019333
2.08 0.2159254 -1.6295634
2.1 0.24872262 -1.6487514
2.12 0.2818191 -1.6594869
2.14 0.31503823 -1.6583591
2.16 0.3477411 -1.6000349
2.18 0.37856391 -1.4703533
2.2 0.4060795 -1.2693124
2.22 0.42886067 -0.99691061
2.24 0.44548019 -0.65314725
2.26 0.45451081 -0.23802172
2.28 0.4546136 0.22449566
2.3 0.44605534 0.61704848
2.32 0.43050292 0.9239115
2.34 0.40967014 1.1450848
2.36 0.3852708 1.2805684
2.38 0.35901867 1.3303623
2.4 0.33262757 1.2944667
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297347
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")
SI_TABLE_POTENTIALS.append(
"""
0.3 135.83251 491.04213
0.32 126.24243 468.05756
0.34 117.10656 445.62087
0.36 108.41393 423.73338
0.38 100.15355 402.39661
0.4 92.314383 381.61231
0.42 84.885361 361.38244
0.44 77.855375 341.70913
0.46 71.213271 322.59462
0.48 64.947849 304.04121
0.5 59.047867 286.05113
0.52 53.502035 268.62642
0.54 48.29903 251.76874
0.56 43.427497 235.47923
0.58 38.87607 219.75829
0.6 34.633379 204.60536
0.62 30.68808 190.01872
0.64 27.028875 175.99532
0.66 23.644542 162.53064
0.68 20.523964 149.6186
0.7 17.656164 137.25153
0.72 15.030331 125.4203
0.74 12.635849 114.11447
0.76 10.462325 103.32259
0.78 8.4995996 93.032606
0.8 6.7377563 83.23234
0.82 5.1671195 73.910079
0.84 3.7782378 65.055179
0.86 2.5618567 56.658701
0.88 1.5088785 48.714008
0.9 0.61031059 41.217298
0.92 -0.14279553 34.168025
0.94 -0.75941232 27.569162
0.96 -1.2486079 21.427296
0.98 -1.6196174 15.752523
1. -1.8819108 10.558138
1.02 -2.0452518 5.8601481
1.04 -2.1197461 1.6766079
1.06 -2.1158745 -1.9731617
1.08 -2.0445097 -5.0694393
1.1 -1.9169154 -7.5929927
1.12 -1.7447278 -9.5259375
1.14 -1.539921 -10.852512
1.16 -1.3147572 -11.55972
1.18 -1.0817271 -11.637809
1.2 -0.8528874 -11.197177
1.22 -0.63544613 -10.507225
1.24 -0.434181 -9.5799905
1.26 -0.25380165 -8.4195784
1.28 -0.098906936 -7.0328808
1.3 0.026065569 -5.4290364
1.32 0.11687851 -3.6188243
1.34 0.17097285 -1.8345276
1.36 0.19205851 -0.32002467
1.38 0.18565296 0.91263223
1.4 0.15750819 1.8520792
1.42 0.11359364 2.487994
1.44 0.060072305 2.8113786
1.46 0.0032639335 2.8207358
1.48 -0.051939818 2.6898404
1.5 -0.10392469 2.4982451
1.52 -0.15144527 2.2430418
1.54 -0.19321146 1.9226411
1.56 -0.22791302 1.5365875
1.58 -0.25424028 1.0853564
1.6 -0.27093778 0.58296981
1.62 -0.27796775 0.13245687
1.64 -0.27674039 -0.24239956
1.66 -0.26879108 -0.53935767
1.68 -0.2557007 -0.75612502
1.7 -0.23909565 -0.89046113
1.72 -0.22064593 -0.94025282
1.74 -0.20196425 -0.92586781
1.76 -0.18352654 -0.92023143
1.78 -0.16506667 -0.9278513
1.8 -0.14633277 -0.94743681
1.82 -0.12709669 -0.97790424
1.84 -0.10715005 -1.0183593
1.86 -0.08630061 -1.0680758
1.88 -0.064385657 -1.123669
1.9 -0.04134709 -1.1803238
1.92 -0.017168348 -1.2376349
1.94 0.0081608545 -1.2953306
1.96 0.03464606 -1.3532057
1.98 0.062289248 -1.411107
2. 0.091089726 -1.4688768
2.02 0.12100846 -1.5216108
2.04 0.15189855 -1.5660046
2.06 0.18359276 -1.6020163
2.08 0.21592313 -1.6296166
2.1 0.24872121 -1.6487852
2.12 0.28181823 -1.6595081
2.14 0.3150377 -1.6583723
2.16 0.34774078 -1.6000431
2.18 0.37856372 -1.4703583
2.2 0.40607939 -1.2693154
2.22 0.4288606 -0.99691243
2.24 0.44548015 -0.65314833
2.26 0.45451079 -0.23802236
2.28 0.45461358 0.22449528
2.3 0.44605533 0.61704827
2.32 0.43050292 0.92391138
2.34 0.40967014 1.1450847
2.36 0.38527079 1.2805684
2.38 0.35901867 1.3303623
2.4 0.33262757 1.2944666
2.42 0.30766721 1.2007223
2.44 0.28455721 1.1114009
2.46 0.26316625 1.028818
2.48 0.24335956 0.95297347
2.5 0.22500239 0.88386739
2.52 0.20795995 0.82149972
2.54 0.19209748 0.76587048
2.56 0.17727835 0.71725847
2.58 0.16335849 0.6759427
2.6 0.150192 0.64192316
2.62 0.13763293 0.61519985
2.64 0.12553536 0.59577277
2.66 0.11375337 0.58364193
2.68 0.10214147 0.57851969
2.7 0.090622747 0.57264939
2.72 0.079263628 0.56255919
2.74 0.068148512 0.54824909
2.76 0.057361797 0.5297191
2.78 0.046987881 0.50696921
2.8 0.037111161 0.47999942
2.82 0.027819947 0.44749761
2.84 0.019319544 0.39965042
2.86 0.011949621 0.33444964
2.88 0.0060572492 0.25189526
2.9 0.001989501 0.15198729
2.92 0.000093448076 0.034725736
""")