%------------------------------------------------------------------------------
% The following table contains data from
% 
% J. Canton, P. Schlatter, and R. Orlu, "Modal instability of the flow in a
% toroidal pipe" J. Fluid Mech. 792, 894--909 (2016).
% 
% The data constitute the envelope of the neutral curves depicted in figure 5
% of the paper.
%------------------------------------------------------------------------------
% 
% delta Reynolds k omega lambda speed
%
0.002000 38396.295950 95.000000 0.370870 16.534698 0.975973
0.003000 10178.822399 95.000000 0.643347 11.023132 1.128679
0.004000 6271.876056 95.000000 0.910670 8.267349 1.198250
0.005000 4933.305840 95.000000 1.163355 6.613879 1.224585
0.006000 4369.179728 95.000000 1.400054 5.511566 1.228117
0.007000 4192.033991 95.000000 1.617117 4.724199 1.215878
0.008000 4178.312161 85.000000 1.635037 4.619989 1.202233
0.009000 4199.198662 80.000000 1.709316 4.363323 1.187025
0.010000 4257.330236 74.000000 1.735572 4.245395 1.172684
0.011000 4355.830949 70.000000 1.781711 4.079990 1.156955
0.012000 4485.526081 65.000000 1.781903 4.027683 1.142245
0.013000 4677.469459 60.000000 1.757258 4.027683 1.126447
0.014000 4939.239686 60.000000 1.857034 3.739991 1.105378
0.015000 5246.911587 55.000000 1.796322 3.807991 1.088680
0.016000 5779.921325 60.000000 2.207013 3.272492 1.149486
0.017000 5629.142338 55.000000 2.162587 3.359992 1.156463
0.018000 5488.890896 55.000000 2.281209 3.173326 1.152126
0.019000 5363.661312 55.000000 2.399269 3.006309 1.147976
0.020000 5247.313961 50.000000 2.313789 3.141593 1.156894
0.021000 5138.910089 50.000000 2.421409 2.991993 1.153052
0.022000 5039.821129 48.000000 2.439341 2.974993 1.154991
0.023000 4948.437480 48.000000 2.542134 2.845646 1.151329
0.024000 4862.153930 45.000000 2.499030 2.908882 1.156958
0.025000 4782.540463 45.000000 2.595413 2.792527 1.153517
0.026000 4709.146354 45.000000 2.691722 2.685122 1.150308
0.027000 4637.403435 40.000000 2.514408 2.908882 1.164078
0.028000 4570.192998 40.000000 2.600516 2.804993 1.160945
0.029000 4508.026709 40.000000 2.686425 2.708270 1.157942
0.030000 4450.789249 40.000000 2.771949 2.617994 1.154979
0.031000 4396.341753 35.000000 2.543090 2.895477 1.171931
0.032000 4339.577454 35.000000 2.619052 2.804993 1.169220
0.033000 4289.448001 35.000000 2.694420 2.719994 1.166416
0.034000 4241.896151 35.000000 2.769712 2.639994 1.163745
0.035000 4196.921903 35.000000 2.844929 2.564565 1.161195
0.036000 4157.105212 35.000000 2.919593 2.493328 1.158569
0.037000 4119.593535 35.000000 2.993989 2.425940 1.155980
0.038000 4076.558897 30.000000 2.683385 2.755783 1.176923
0.039000 4036.957123 30.000000 2.748717 2.685122 1.174665
0.040000 3997.355349 30.000000 2.814048 2.617994 1.172520
0.041000 3963.611145 30.000000 2.878749 2.554140 1.170223
0.042000 3929.866942 30.000000 2.943450 2.493328 1.168036
0.043000 3901.230516 30.000000 3.007536 2.435343 1.165712
0.044000 3869.417469 28.000000 2.893144 2.549994 1.174166
0.045000 3839.470224 28.000000 2.953770 2.493328 1.172131
0.046000 3811.918816 28.000000 3.014053 2.439125 1.170052
0.047000 3786.103587 27.000000 2.978478 2.475644 1.173553
0.048000 3760.274393 27.000000 3.036702 2.424068 1.171567
0.049000 3736.280122 27.000000 3.094832 2.374598 1.169626
0.050000 3713.364694 26.000000 3.050856 2.416610 1.173406
0.051000 3690.656975 26.000000 3.106909 2.369225 1.171534
0.052000 3669.968687 26.000000 3.162680 2.323663 1.169630
0.053000 3650.540740 25.000000 3.110270 2.371013 1.173687
0.054000 3629.542335 25.000000 3.164238 2.327106 1.171940
0.055000 3611.875595 25.000000 3.217733 2.284795 1.170085
0.056000 3594.208855 25.000000 3.271228 2.243995 1.168296
0.057000 3576.811471 24.000000 3.208618 2.296486 1.172740
0.058000 3559.383235 24.000000 3.260275 2.256891 1.171076
0.059000 3544.899664 24.000000 3.311490 2.218639 1.169311
0.060000 3529.958118 23.000000 3.240210 2.276516 1.173989
0.061000 3515.319416 23.000000 3.289623 2.239196 1.172353
0.062000 3500.680715 23.000000 3.339035 2.203080 1.170770
0.063000 3488.603169 23.000000 3.388121 2.168111 1.169124
0.064000 3476.525624 23.000000 3.437207 2.134234 1.167529
0.065000 3464.679996 22.000000 3.353184 2.196918 1.172442
0.066000 3452.260814 22.000000 3.400329 2.163631 1.170912
0.067000 3442.022484 22.000000 3.447328 2.131338 1.169379
0.068000 3431.784154 22.000000 3.494326 2.099995 1.167890
0.069000 3423.490874 21.000000 3.399495 2.168111 1.173049
0.070000 3413.654766 21.000000 3.444444 2.137138 1.171580
0.071000 3403.818658 21.000000 3.489394 2.107037 1.170152
0.072000 3396.180986 21.000000 3.533974 2.077773 1.168642
0.073000 3388.543313 21.000000 3.578555 2.049310 1.167174
0.074000 3382.794686 21.000000 3.622998 2.021617 1.165701
0.075000 3375.716474 20.000000 3.513681 2.094395 1.171227
0.076000 3368.353786 20.000000 3.556355 2.066837 1.169853
0.077000 3362.110064 20.000000 3.598830 2.039995 1.168451
0.078000 3356.555313 20.000000 3.641281 2.013841 1.167077
0.079000 3352.081100 20.000000 3.683538 1.988350 1.165677
0.080000 3348.536740 20.000000 3.725658 1.963495 1.164268
0.081000 3345.843974 19.000000 3.601086 2.041321 1.169943
0.082000 3340.415329 19.000000 3.641474 2.016427 1.168637
0.083000 3336.671121 19.000000 3.681711 1.992132 1.167315
0.084000 3333.023902 19.000000 3.721940 1.968416 1.166021
0.085000 3330.870274 19.000000 3.761864 1.945259 1.164664
0.086000 3329.514914 19.000000 3.801624 1.922639 1.163288
0.087000 3328.159553 19.000000 3.841385 1.900540 1.161943
0.088000 3328.234859 18.000000 3.699986 1.983329 1.167925
0.089000 3325.099269 18.000000 3.738117 1.961044 1.166703
0.090000 3323.531660 18.000000 3.776093 1.939255 1.165461
0.091000 3321.964050 18.000000 3.814068 1.917944 1.164245
0.092000 3322.133188 18.000000 3.851660 1.897097 1.162941
0.093000 3322.302326 18.000000 3.889251 1.876698 1.161664
0.094000 3323.950845 18.000000 3.926734 1.856733 1.160382
0.095000 3325.599364 18.000000 3.964216 1.837189 1.159128
0.096000 3327.739475 17.000000 3.803786 1.924995 1.165376
0.097000 3327.744100 17.000000 3.839533 1.905150 1.164200
0.098000 3327.748725 17.000000 3.875280 1.885710 1.163049
0.099000 3329.535490 17.000000 3.910082 1.866662 1.161641
0.100000 3330.847317 17.000000 3.946202 1.847996 1.160648
0.101000 3333.510080 17.000000 3.981492 1.829699 1.159433
0.102000 3337.010165 17.000000 4.016656 1.811760 1.158205
0.103000 3341.256108 17.000000 4.051739 1.794171 1.156979
0.104000 3345.854314 17.000000 4.086779 1.776919 1.155763
0.105000 3349.262640 16.000000 3.905899 1.869996 1.162470
0.106000 3351.401427 16.000000 3.939288 1.852354 1.161347
0.107000 3354.086903 16.000000 3.972568 1.835042 1.160212
0.108000 3357.600315 16.000000 4.005781 1.818051 1.159080
0.109000 3361.716085 16.000000 4.038947 1.801372 1.157955
0.110000 3366.135531 16.000000 4.072052 1.784996 1.156833
0.111000 3372.167450 16.000000 4.104827 1.768915 1.155638
0.112000 3378.199370 16.000000 4.137602 1.753121 1.154465
0.113000 3384.912076 16.000000 4.170330 1.737607 1.153299
0.114000 3391.163735 15.000000 3.969241 1.837189 1.160597
0.115000 3395.198262 15.000000 4.000383 1.821213 1.159531
0.116000 3399.232790 15.000000 4.031524 1.805513 1.158484
0.117000 3404.474422 15.000000 4.062598 1.790081 1.157435
0.118000 3409.716054 15.000000 4.093671 1.774911 1.156404
0.119000 3416.367459 15.000000 4.124463 1.759996 1.155312
0.120000 3423.018865 15.000000 4.155254 1.745329 1.154237
0.121000 3430.930817 15.000000 4.185984 1.730905 1.153164
0.122000 3438.842769 15.000000 4.216714 1.716717 1.152108
0.123000 3448.251332 15.000000 4.247149 1.702760 1.150989
0.124000 3457.362443 14.000000 4.023933 1.809673 1.158967
0.125000 3463.226756 14.000000 4.053017 1.795196 1.158005
0.126000 3469.091068 14.000000 4.082102 1.780948 1.157058
0.127000 3476.363262 14.000000 4.110932 1.766925 1.156055
0.128000 3483.635456 14.000000 4.139761 1.753121 1.155067
0.129000 3492.264607 14.000000 4.168465 1.739531 1.154060
0.130000 3500.893758 14.000000 4.197169 1.726150 1.153068
0.131000 3510.975754 14.000000 4.225724 1.712973 1.152051
0.132000 3521.057749 14.000000 4.254279 1.699996 1.151049
0.133000 3532.713592 14.000000 4.282655 1.687214 1.150015
0.134000 3544.369436 14.000000 4.311032 1.674623 1.148996
0.135000 3556.805953 13.000000 4.064385 1.790081 1.157944
0.136000 3564.723313 13.000000 4.091333 1.776919 1.157051
0.137000 3574.149063 13.000000 4.118124 1.763949 1.156127
0.138000 3583.574813 13.000000 4.144914 1.751166 1.155216
0.139000 3594.638367 13.000000 4.171537 1.738568 1.154271
0.140000 3605.701922 13.000000 4.198159 1.726150 1.153340
0.141000 3618.568743 13.000000 4.224600 1.713908 1.152373
0.142000 3631.435564 13.000000 4.251041 1.701838 1.151420
0.143000 3646.318996 13.000000 4.277284 1.689937 1.150426
0.144000 3661.202428 13.000000 4.303526 1.678201 1.149446
0.145000 3678.381227 13.000000 4.329546 1.666627 1.148421
0.146000 3695.560026 13.000000 4.355567 1.655212 1.147410
0.147000 3714.626739 12.000000 4.083421 1.780948 1.157432
0.148000 3727.518937 12.000000 4.108026 1.768915 1.156539
0.149000 3741.925323 12.000000 4.132639 1.757043 1.155660
0.150000 3757.642753 12.000000 4.157039 1.745329 1.154733
0.151000 3774.676277 12.000000 4.181322 1.733771 1.153786
0.152000 3793.139746 12.000000 4.205482 1.722364 1.152818
0.153000 3813.626932 12.000000 4.229411 1.711107 1.151800
0.154000 3834.941551 12.000000 4.253378 1.699996 1.150806
0.155000 3858.639197 12.000000 4.277087 1.689028 1.149755
0.156000 3885.423491 12.000000 4.300537 1.678201 1.148648
0.157000 3912.859343 12.000000 4.323932 1.667512 1.147540
0.158000 3946.261946 12.000000 4.346721 1.656958 1.146287
0.159000 3980.932198 12.000000 4.369584 1.646537 1.145069
0.160000 4016.942217 12.000000 4.392323 1.636246 1.143834
0.161000 4050.872083 11.000000 4.090547 1.773909 1.154869
0.162000 4050.177812 10.000000 1.841800 1.939255 0.568457
0.163000 4039.848268 10.000000 1.857846 1.927357 0.569891
0.164000 4029.518723 10.000000 1.873892 1.915605 0.571309
0.165000 4019.701881 10.000000 1.890021 1.903996 0.572734
0.166000 4009.885039 10.000000 1.906150 1.892526 0.574141
0.167000 4000.562908 10.000000 1.922360 1.881193 0.575557
0.168000 3991.240777 10.000000 1.938571 1.869996 0.576956
0.169000 3982.396723 10.000000 1.954864 1.858931 0.578362
0.170000 3973.552668 10.000000 1.971157 1.847996 0.579752
0.171000 3965.171298 10.000000 1.987531 1.837189 0.581149
0.172000 3956.789928 10.000000 2.003906 1.826507 0.582531
0.173000 3948.857024 10.000000 2.020362 1.815950 0.583920
0.174000 3940.924120 10.000000 2.036819 1.805513 0.585293
0.175000 3933.426537 10.000000 2.053357 1.795196 0.586673
0.176000 3925.928954 10.000000 2.069895 1.784996 0.588038
0.177000 3918.854543 10.000000 2.086515 1.774911 0.589411
0.178000 3911.780131 10.000000 2.103135 1.764940 0.590768
0.179000 3905.117700 10.000000 2.119836 1.755080 0.592133
0.180000 3898.455268 10.000000 2.136538 1.745329 0.593483
0.181000 3892.194481 10.000000 2.153320 1.735687 0.594840
0.182000 3885.933693 10.000000 2.170103 1.726150 0.596182
0.183000 3880.065049 10.000000 2.186967 1.716717 0.597532
0.184000 3874.196405 10.000000 2.203831 1.707387 0.598867
0.185000 3868.711178 10.000000 2.220777 1.698158 0.600210
0.186000 3863.225950 10.000000 2.237722 1.689028 0.601538
0.187000 3858.116135 10.000000 2.254748 1.679996 0.602874
0.188000 3853.006320 10.000000 2.271774 1.671060 0.604195
0.189000 3847.785740 9.000000 1.978697 1.846909 0.581628
0.190000 3838.780652 9.000000 1.993867 1.837189 0.583002
0.191000 3830.157130 9.000000 2.009113 1.827570 0.584384
0.192000 3821.533608 9.000000 2.024358 1.818051 0.585752
0.193000 3813.278953 9.000000 2.039681 1.808631 0.587127
0.194000 3805.024298 9.000000 2.055003 1.799309 0.588489
0.195000 3797.126688 9.000000 2.070402 1.790081 0.589858
0.196000 3789.229077 9.000000 2.085801 1.780948 0.591214
0.197000 3781.677122 9.000000 2.101277 1.771908 0.592577
0.198000 3774.125167 9.000000 2.116752 1.762959 0.593926
0.199000 3766.893522 9.000000 2.132247 1.754100 0.595267
0.200000 3759.697305 9.000000 2.147854 1.745329 0.596626
0.201000 3752.713103 9.000000 2.163471 1.736646 0.597974
0.202000 3745.926794 9.000000 2.179122 1.728049 0.599319
0.203000 3739.305677 9.000000 2.194814 1.719536 0.600661
0.204000 3732.753358 9.000000 2.210529 1.711107 0.601996
0.205000 3726.489655 9.000000 2.226306 1.702760 0.603335
0.206000 3720.244986 9.000000 2.242087 1.694494 0.604662
0.207000 3714.318715 9.000000 2.257953 1.686308 0.605999
0.208000 3708.392445 9.000000 2.273818 1.678201 0.607323
0.209000 3702.590239 9.000000 2.289723 1.670172 0.608645
0.210000 3696.944084 9.000000 2.305676 1.662218 0.609967
0.211000 3691.557302 9.000000 2.321672 1.654341 0.611288
0.212000 3686.254802 9.000000 2.337693 1.646537 0.612603
0.213000 3681.255229 9.000000 2.353807 1.638807 0.613930
0.214000 3676.255657 9.000000 2.369920 1.631149 0.615244
0.215000 3671.256084 9.000000 2.386033 1.623562 0.616546
0.216000 3666.383591 9.000000 2.402186 1.616046 0.617846
0.217000 3661.919130 9.000000 2.418466 1.608598 0.619167
0.218000 3657.454669 9.000000 2.434745 1.601219 0.620475
0.219000 3652.990208 9.000000 2.451025 1.593908 0.621772
0.220000 3648.525747 9.000000 2.467304 1.586663 0.623057
0.221000 3644.582519 9.000000 2.483654 1.579483 0.624347
0.222000 3640.806560 9.000000 2.500125 1.572369 0.625657
0.223000 3637.030601 9.000000 2.516597 1.565318 0.626955
0.224000 3633.254641 9.000000 2.533068 1.558330 0.628241
0.225000 3629.478682 9.000000 2.549540 1.551404 0.629516
0.226000 3625.904740 9.000000 2.566057 1.544539 0.630791
0.227000 3622.749130 9.000000 2.582669 1.537735 0.632077
0.228000 3619.593520 9.000000 2.599280 1.530991 0.633353
0.229000 3616.437909 9.000000 2.615891 1.524305 0.634617
0.230000 3613.282299 9.000000 2.632503 1.517678 0.635870
0.231000 3610.162558 9.000000 2.649513 1.511108 0.637208
0.232000 3607.596417 9.000000 2.666353 1.504594 0.638494
0.233000 3605.030276 9.000000 2.683193 1.498137 0.639769
0.234000 3598.884718 8.000000 2.300585 1.678201 0.614472
0.235000 3592.814408 8.000000 2.315449 1.671060 0.615811
0.236000 3586.744097 8.000000 2.330312 1.663979 0.617138
0.237000 3580.909484 8.000000 2.345249 1.656958 0.618473
0.238000 3575.074872 8.000000 2.360186 1.649996 0.619797
0.239000 3569.469943 8.000000 2.375195 1.643092 0.621128
0.240000 3563.865014 8.000000 2.390205 1.636246 0.622449
0.241000 3558.484088 8.000000 2.405288 1.629457 0.623778
0.242000 3553.103162 8.000000 2.420371 1.622723 0.625096
0.243000 3547.940878 8.000000 2.435527 1.616046 0.626422
0.244000 3542.778594 8.000000 2.450683 1.609422 0.627736
0.245000 3537.769800 8.000000 2.465899 1.602853 0.629056
0.246000 3532.880921 8.000000 2.481142 1.596338 0.630371
0.247000 3528.141315 8.000000 2.496444 1.589875 0.631691
0.248000 3523.401709 8.000000 2.511747 1.583464 0.633001
0.249000 3518.847735 8.000000 2.527081 1.577105 0.634308
0.250000 3514.324369 8.000000 2.542503 1.570796 0.635626
0.251000 3509.939010 8.000000 2.557934 1.564538 0.636936
0.252000 3505.667163 8.000000 2.573407 1.558330 0.638246
0.253000 3501.498057 8.000000 2.588917 1.552170 0.639555
0.254000 3497.412891 8.000000 2.604419 1.546059 0.640851
0.255000 3493.581933 8.000000 2.619874 1.539996 0.642126
0.256000 3489.491042 8.000000 2.635640 1.533981 0.643467
0.257000 3485.757057 8.000000 2.651319 1.528012 0.644776
0.258000 3482.023072 8.000000 2.666997 1.522089 0.646075
0.259000 3478.367170 8.000000 2.682712 1.516213 0.647373
0.260000 3474.809482 8.000000 2.698474 1.510381 0.648672
0.261000 3471.423218 8.000000 2.714281 1.504594 0.649972
0.262000 3468.067872 8.000000 2.730103 1.498851 0.651265
0.263000 3464.939415 8.000000 2.746027 1.493152 0.652573
0.264000 3461.810957 8.000000 2.761951 1.487497 0.653871
0.265000 3458.682499 8.000000 2.777875 1.481883 0.655159
0.266000 3455.560561 8.000000 2.793802 1.476312 0.656439
0.267000 3452.772804 8.000000 2.809886 1.470783 0.657745
0.268000 3449.985046 8.000000 2.825970 1.465295 0.659042
0.269000 3447.197289 8.000000 2.842054 1.459848 0.660329
0.270000 3444.409532 8.000000 2.858138 1.454441 0.661606
0.271000 3441.902522 8.000000 2.874264 1.449074 0.662884
0.272000 3439.583819 8.000000 2.890544 1.443747 0.664188
0.273000 3437.265115 8.000000 2.906825 1.438458 0.665482
0.274000 3434.946412 8.000000 2.923105 1.433208 0.666767
0.275000 3432.627709 8.000000 2.939385 1.427997 0.668042
0.276000 3430.316742 8.000000 2.955668 1.422823 0.669309
0.277000 3428.402337 8.000000 2.972083 1.417686 0.670596
0.278000 3426.487931 8.000000 2.988498 1.412587 0.671875
0.279000 3424.573525 8.000000 3.004913 1.407524 0.673144
0.280000 3422.659119 8.000000 3.021327 1.402497 0.674403
0.281000 3420.758161 8.000000 3.038006 1.397506 0.675713
0.282000 3419.225787 8.000000 3.054671 1.392550 0.677010
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