Xu, Duo; Song, Baofang; Avila, Marc (2022): Optimal growth (helical, Re=2000,A=1,Wo=15): time series for selected t0 [dataset]. PANGAEA, https://doi.org/10.1594/PANGAEA.949057
Always quote citation above when using data! You can download the citation in several formats below.
Published: 2022-09-26 • DOI registered: 2023-01-13
Abstract:
The data are obtained via an in-house Matlab script (developed by Dr. Baofang Song) to compute the non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows. In this study, a Newtonian fluid driven by pulsatile and oscillatory flow rate flows in a straight pipe. In pulsatile flow, there are three governing parameters: steady Reynolds number (defined by the steady flow component), pulsation amplitude (ratio of oscillatory and steady flow component) and Womersley number (dimensionless pulsation and oscillation frequency). In oscillatory flow, due to vanishment of steady flow component, oscillatory Reynolds number (defined by the oscillation flow component) and Womersley number. The Reynolds number defined by the thickness of Stokes layer is alternatively used for the oscillatory Reynolds number. The study was carried out in a manner that one governing parameter varies while other governing parameters are fixed.
The data file 'time_TG_helical.dat' shows the time series of the maximum energy amplification of a helical perturbation.
This file includes five columns: the first column indicates streamwise wavenumber or axial wavenumber; the second column indicates the azimuthal wavenumber; the third column indicates the phase of the perturbation; the fourth column indicates the dimensionless time; the fifth column indicates the maximum energy amplification at the time instant.
Comment:
#(Re,A,Wo)=(2000,1.00,15.00)
VARIABLES = k_z, k_theta, phase, time, G(t)
ZONE T= "data", I=26, J=1
Parameter(s):
License:
Creative Commons Attribution 4.0 International (CC-BY-4.0)
Status:
Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)
Size:
2730 data points
Data
| 1 k_z | 2 k_θ | 3 phi | 4 t | 5 TG |
|---|---|---|---|---|
| 1.62 | 1 | 0.00 | 0.00000000 | 1.00000000 |
| 1.62 | 1 | 0.00 | 2.80000000 | 4.91850821 |
| 1.62 | 1 | 0.00 | 5.57500000 | 12.81784516 |
| 1.62 | 1 | 0.00 | 8.37500000 | 23.17155859 |
| 1.62 | 1 | 0.00 | 11.17500000 | 33.89006446 |
| 1.62 | 1 | 0.00 | 13.97500000 | 40.20686252 |
| 1.62 | 1 | 0.00 | 16.75000000 | 39.81640031 |
| 1.62 | 1 | 0.00 | 19.55000000 | 33.87266709 |
| 1.62 | 1 | 0.00 | 22.35000000 | 25.27379310 |
| 1.62 | 1 | 0.00 | 25.12500000 | 16.89807188 |
| 1.62 | 1 | 0.00 | 27.92500000 | 10.22192703 |
| 1.62 | 1 | 0.00 | 30.72500000 | 5.72993848 |
| 1.62 | 1 | 0.00 | 33.50000000 | 5.81260639 |
| 1.62 | 1 | 0.00 | 36.30000000 | 8.56461911 |
| 1.62 | 1 | 0.00 | 39.10000000 | 13.13520724 |
| 1.62 | 1 | 0.00 | 41.90000000 | 20.58195902 |
| 1.62 | 1 | 0.00 | 44.67500000 | 31.12325833 |
| 1.62 | 1 | 0.00 | 47.47500000 | 42.97708965 |
| 1.62 | 1 | 0.00 | 50.27500000 | 52.02799083 |
| 1.62 | 1 | 0.00 | 53.05000000 | 55.00310710 |
| 1.62 | 1 | 0.00 | 55.85000000 | 51.28316019 |
| 1.62 | 1 | 0.00 | 67.05000000 | 13.46365228 |
| 1.62 | 1 | 0.00 | 78.22500000 | 0.91538507 |
| 1.62 | 1 | 0.00 | 89.37500000 | 0.02271607 |
| 1.62 | 1 | 0.00 | 100.55000000 | 0.00036585 |
| 1.62 | 1 | 0.00 | 111.72500000 | 0.00005100 |
| 1.62 | 1 | 0.05 | 2.79252680 | 1.00000000 |
| 1.62 | 1 | 0.05 | 5.59252680 | 5.32672240 |
| 1.62 | 1 | 0.05 | 8.36752680 | 13.63259527 |
| 1.62 | 1 | 0.05 | 11.16752680 | 22.36539461 |
| 1.62 | 1 | 0.05 | 13.96752680 | 31.09024756 |
| 1.62 | 1 | 0.05 | 16.76752680 | 36.13075183 |
| 1.62 | 1 | 0.05 | 19.54252680 | 35.32733982 |
| 1.62 | 1 | 0.05 | 22.34252680 | 29.83494243 |
| 1.62 | 1 | 0.05 | 25.14252680 | 22.27226133 |
| 1.62 | 1 | 0.05 | 27.91752680 | 15.15033549 |
| 1.62 | 1 | 0.05 | 30.71752680 | 16.85055991 |
| 1.62 | 1 | 0.05 | 33.51752680 | 24.15370776 |
| 1.62 | 1 | 0.05 | 36.29252680 | 35.46830019 |
| 1.62 | 1 | 0.05 | 39.09252680 | 54.36558997 |
| 1.62 | 1 | 0.05 | 41.89252680 | 85.19256268 |
| 1.62 | 1 | 0.05 | 44.69252680 | 129.28376295 |
| 1.62 | 1 | 0.05 | 47.46752680 | 177.92572496 |
| 1.62 | 1 | 0.05 | 50.26752680 | 215.38419999 |
| 1.62 | 1 | 0.05 | 53.06752680 | 227.66818064 |
| 1.62 | 1 | 0.05 | 55.84252680 | 212.28136127 |
| 1.62 | 1 | 0.05 | 58.64252680 | 176.43590153 |
| 1.62 | 1 | 0.05 | 69.84252680 | 31.79019659 |
| 1.62 | 1 | 0.05 | 81.01752680 | 1.62968966 |
| 1.62 | 1 | 0.05 | 92.16752680 | 0.03222191 |
| 1.62 | 1 | 0.05 | 103.34252680 | 0.00054478 |
| 1.62 | 1 | 0.05 | 114.51752680 | 0.00014510 |
| 1.62 | 1 | 0.10 | 5.58505361 | 1.00000000 |
| 1.62 | 1 | 0.10 | 8.38505361 | 5.77251467 |
| 1.62 | 1 | 0.10 | 11.16005361 | 15.58962880 |
| 1.62 | 1 | 0.10 | 13.96005361 | 23.65453258 |
| 1.62 | 1 | 0.10 | 16.76005361 | 29.35527564 |
| 1.62 | 1 | 0.10 | 19.56005361 | 33.05835965 |
| 1.62 | 1 | 0.10 | 22.33505361 | 32.23458487 |
| 1.62 | 1 | 0.10 | 25.13505361 | 28.26120312 |
| 1.62 | 1 | 0.10 | 27.93505361 | 33.59639897 |
| 1.62 | 1 | 0.10 | 30.71005361 | 46.99718336 |
| 1.62 | 1 | 0.10 | 33.51005361 | 67.19416736 |
| 1.62 | 1 | 0.10 | 36.31005361 | 99.04852367 |
| 1.62 | 1 | 0.10 | 39.08505361 | 151.38146644 |
| 1.62 | 1 | 0.10 | 41.88505361 | 237.31967033 |
| 1.62 | 1 | 0.10 | 44.68505361 | 360.35832793 |
| 1.62 | 1 | 0.10 | 47.48505361 | 497.57324213 |
| 1.62 | 1 | 0.10 | 50.26005361 | 601.60288305 |
| 1.62 | 1 | 0.10 | 53.06005361 | 636.60826947 |
| 1.62 | 1 | 0.10 | 55.86005361 | 593.50699181 |
| 1.62 | 1 | 0.10 | 58.63505361 | 494.33232379 |
| 1.62 | 1 | 0.10 | 61.43505361 | 370.49035206 |
| 1.62 | 1 | 0.10 | 72.63505361 | 47.14113813 |
| 1.62 | 1 | 0.10 | 83.81005361 | 1.86203960 |
| 1.62 | 1 | 0.10 | 94.96005361 | 0.02979609 |
| 1.62 | 1 | 0.10 | 106.13505361 | 0.00079542 |
| 1.62 | 1 | 0.10 | 117.31005361 | 0.00030800 |
| 1.62 | 1 | 0.15 | 8.37758041 | 1.00000000 |
| 1.62 | 1 | 0.15 | 11.17758041 | 6.18369837 |
| 1.62 | 1 | 0.15 | 13.95258041 | 18.50931459 |
| 1.62 | 1 | 0.15 | 16.75258041 | 30.39282180 |
| 1.62 | 1 | 0.15 | 19.55258041 | 34.88071215 |
| 1.62 | 1 | 0.15 | 22.35258041 | 36.58570369 |
| 1.62 | 1 | 0.15 | 25.12758041 | 45.85805451 |
| 1.62 | 1 | 0.15 | 27.92758041 | 64.25291626 |
| 1.62 | 1 | 0.15 | 30.72758041 | 91.50879520 |
| 1.62 | 1 | 0.15 | 33.50258041 | 130.54315715 |
| 1.62 | 1 | 0.15 | 36.30258041 | 191.80061138 |
| 1.62 | 1 | 0.15 | 39.10258041 | 293.78891014 |
| 1.62 | 1 | 0.15 | 41.87758041 | 458.76729300 |
| 1.62 | 1 | 0.15 | 44.67758041 | 696.93099389 |
| 1.62 | 1 | 0.15 | 47.47758041 | 962.49962098 |
| 1.62 | 1 | 0.15 | 50.27758041 | 1164.96384145 |
| 1.62 | 1 | 0.15 | 53.05258041 | 1231.23025594 |
| 1.62 | 1 | 0.15 | 55.85258041 | 1147.72320812 |
| 1.62 | 1 | 0.15 | 58.65258041 | 953.84325138 |
| 1.62 | 1 | 0.15 | 61.42758041 | 716.39506288 |
| 1.62 | 1 | 0.15 | 64.22758041 | 487.50672046 |
| 1.62 | 1 | 0.15 | 75.42758041 | 44.70821761 |
| 1.62 | 1 | 0.15 | 86.60258041 | 1.38010486 |
| 1.62 | 1 | 0.15 | 97.75258041 | 0.01870553 |
| 1.62 | 1 | 0.15 | 108.92758041 | 0.00110265 |
| 1.62 | 1 | 0.15 | 120.10258041 | 0.00040548 |
| 1.62 | 1 | 0.20 | 11.17010721 | 1.00000000 |
| 1.62 | 1 | 0.20 | 13.97010721 | 6.42664992 |
| 1.62 | 1 | 0.20 | 16.74510721 | 21.42429035 |
| 1.62 | 1 | 0.20 | 19.54510721 | 41.25251907 |
| 1.62 | 1 | 0.20 | 22.34510721 | 56.98999543 |
| 1.62 | 1 | 0.20 | 25.14510721 | 70.64273087 |
| 1.62 | 1 | 0.20 | 27.92010721 | 91.42037718 |
| 1.62 | 1 | 0.20 | 30.72010721 | 126.02018837 |
| 1.62 | 1 | 0.20 | 33.52010721 | 179.98686578 |
| 1.62 | 1 | 0.20 | 36.29510721 | 264.57949736 |
| 1.62 | 1 | 0.20 | 39.09510721 | 405.76335204 |
| 1.62 | 1 | 0.20 | 41.89510721 | 635.94847663 |
| 1.62 | 1 | 0.20 | 44.67010721 | 962.13397975 |
| 1.62 | 1 | 0.20 | 47.47010721 | 1328.97042703 |
| 1.62 | 1 | 0.20 | 50.27010721 | 1608.73157931 |
| 1.62 | 1 | 0.20 | 53.07010721 | 1700.05911237 |
| 1.62 | 1 | 0.20 | 55.84510721 | 1584.69801243 |
| 1.62 | 1 | 0.20 | 58.64510721 | 1316.84462707 |
| 1.62 | 1 | 0.20 | 61.44510721 | 985.98110896 |
| 1.62 | 1 | 0.20 | 64.22010721 | 672.98333204 |
| 1.62 | 1 | 0.20 | 67.02010721 | 418.42012101 |
| 1.62 | 1 | 0.20 | 78.22010721 | 28.28861344 |
| 1.62 | 1 | 0.20 | 89.39510721 | 0.69142182 |
| 1.62 | 1 | 0.20 | 100.54510721 | 0.00909090 |
| 1.62 | 1 | 0.20 | 111.72010721 | 0.00128041 |
| 1.62 | 1 | 0.20 | 122.89510721 | 0.00034374 |
| 1.62 | 1 | 0.25 | 13.96263402 | 1.00000000 |
| 1.62 | 1 | 0.25 | 16.76263402 | 6.47436166 |
| 1.62 | 1 | 0.25 | 19.53763402 | 23.35321628 |
| 1.62 | 1 | 0.25 | 22.33763402 | 51.10537763 |
| 1.62 | 1 | 0.25 | 25.13763402 | 80.99151343 |
| 1.62 | 1 | 0.25 | 27.93763402 | 109.72880212 |
| 1.62 | 1 | 0.25 | 30.71263402 | 143.62452590 |
| 1.62 | 1 | 0.25 | 33.51263402 | 195.43424715 |
| 1.62 | 1 | 0.25 | 36.31263402 | 282.53099261 |
| 1.62 | 1 | 0.25 | 39.08763402 | 430.77745091 |
| 1.62 | 1 | 0.25 | 41.88763402 | 676.74057571 |
| 1.62 | 1 | 0.25 | 44.68763402 | 1028.88216919 |
| 1.62 | 1 | 0.25 | 47.46263402 | 1417.16919340 |
| 1.62 | 1 | 0.25 | 50.26263402 | 1715.93143495 |
| 1.62 | 1 | 0.25 | 53.06263402 | 1813.51815689 |
| 1.62 | 1 | 0.25 | 55.86263402 | 1688.42816936 |
| 1.62 | 1 | 0.25 | 58.63763402 | 1404.53900882 |
| 1.62 | 1 | 0.25 | 61.43763402 | 1051.54030248 |
| 1.62 | 1 | 0.25 | 64.23763402 | 714.92442297 |
| 1.62 | 1 | 0.25 | 67.01263402 | 446.20042262 |
| 1.62 | 1 | 0.25 | 69.81263402 | 254.86290149 |
| 1.62 | 1 | 0.25 | 81.01263402 | 12.98127338 |
| 1.62 | 1 | 0.25 | 92.18763402 | 0.25309588 |
| 1.62 | 1 | 0.25 | 103.33763402 | 0.00410565 |
| 1.62 | 1 | 0.25 | 114.51263402 | 0.00114615 |
| 1.62 | 1 | 0.25 | 125.68763402 | 0.00020678 |
| 1.62 | 1 | 0.30 | 16.75516082 | 1.00000000 |
| 1.62 | 1 | 0.30 | 19.55516082 | 6.35839985 |
| 1.62 | 1 | 0.30 | 22.33016082 | 23.88476108 |
| 1.62 | 1 | 0.30 | 25.13016082 | 56.65556446 |
| 1.62 | 1 | 0.30 | 27.93016082 | 97.84413116 |
| 1.62 | 1 | 0.30 | 30.73016082 | 141.07466636 |
| 1.62 | 1 | 0.30 | 33.50516082 | 190.14092758 |
| 1.62 | 1 | 0.30 | 36.30516082 | 263.43726616 |
| 1.62 | 1 | 0.30 | 39.10516082 | 390.76318818 |
| 1.62 | 1 | 0.30 | 41.88016082 | 605.23545644 |
| 1.62 | 1 | 0.30 | 44.68016082 | 920.99011914 |
| 1.62 | 1 | 0.30 | 47.48016082 | 1275.56885741 |
| 1.62 | 1 | 0.30 | 50.25516082 | 1544.92629779 |
| 1.62 | 1 | 0.30 | 53.05516082 | 1635.76903607 |
| 1.62 | 1 | 0.30 | 55.85516082 | 1524.80767616 |
| 1.62 | 1 | 0.30 | 58.65516082 | 1266.85165060 |
| 1.62 | 1 | 0.30 | 61.43016082 | 951.24213286 |
| 1.62 | 1 | 0.30 | 64.23016082 | 647.25521837 |
| 1.62 | 1 | 0.30 | 67.03016082 | 402.41620992 |
| 1.62 | 1 | 0.30 | 69.80516082 | 231.08145292 |
| 1.62 | 1 | 0.30 | 72.60516082 | 122.05299422 |
| 1.62 | 1 | 0.30 | 83.80516082 | 4.78781288 |
| 1.62 | 1 | 0.30 | 94.98016082 | 0.07615159 |
| 1.62 | 1 | 0.30 | 106.13016082 | 0.00210101 |
| 1.62 | 1 | 0.30 | 117.30516082 | 0.00080444 |
| 1.62 | 1 | 0.30 | 128.48016082 | 0.00010161 |
| 1.62 | 1 | 0.35 | 19.54768762 | 1.00000000 |
| 1.62 | 1 | 0.35 | 22.34768762 | 6.13811550 |
| 1.62 | 1 | 0.35 | 25.12268762 | 23.27132750 |
| 1.62 | 1 | 0.35 | 27.92268762 | 57.81361305 |
| 1.62 | 1 | 0.35 | 30.72268762 | 106.07294807 |
| 1.62 | 1 | 0.35 | 33.52268762 | 162.32484199 |
| 1.62 | 1 | 0.35 | 36.29768762 | 230.21547697 |
| 1.62 | 1 | 0.35 | 39.09768762 | 331.89129116 |
| 1.62 | 1 | 0.35 | 41.89768762 | 499.23384074 |
| 1.62 | 1 | 0.35 | 44.67268762 | 745.16299847 |
| 1.62 | 1 | 0.35 | 47.47268762 | 1029.49830415 |
| 1.62 | 1 | 0.35 | 50.27268762 | 1250.49199193 |
| 1.62 | 1 | 0.35 | 53.04768762 | 1325.16835235 |
| 1.62 | 1 | 0.35 | 55.84768762 | 1236.64257313 |
| 1.62 | 1 | 0.35 | 58.64768762 | 1027.69635571 |
| 1.62 | 1 | 0.35 | 61.44768762 | 769.21542611 |
| 1.62 | 1 | 0.35 | 64.22268762 | 524.90044857 |
| 1.62 | 1 | 0.35 | 67.02268762 | 326.35958794 |
| 1.62 | 1 | 0.35 | 69.82268762 | 186.43814328 |
| 1.62 | 1 | 0.35 | 72.59768762 | 99.01081257 |
| 1.62 | 1 | 0.35 | 75.39768762 | 48.60230707 |
| 1.62 | 1 | 0.35 | 86.59768762 | 1.48911044 |
| 1.62 | 1 | 0.35 | 97.77268762 | 0.02114676 |
| 1.62 | 1 | 0.35 | 108.92268762 | 0.00136393 |
| 1.62 | 1 | 0.35 | 120.09768762 | 0.00046067 |
| 1.62 | 1 | 0.35 | 131.27268762 | 0.00005278 |
| 1.62 | 1 | 0.40 | 22.34021443 | 1.00000000 |
| 1.62 | 1 | 0.40 | 25.14021443 | 5.87563575 |
| 1.62 | 1 | 0.40 | 27.91521443 | 22.06405654 |
| 1.62 | 1 | 0.40 | 30.71521443 | 56.32341093 |
| 1.62 | 1 | 0.40 | 33.51521443 | 108.70315238 |
| 1.62 | 1 | 0.40 | 36.31521443 | 176.95515788 |
| 1.62 | 1 | 0.40 | 39.09021443 | 265.63092387 |
| 1.62 | 1 | 0.40 | 41.89021443 | 393.31466565 |
| 1.62 | 1 | 0.40 | 44.69021443 | 572.23262381 |
| 1.62 | 1 | 0.40 | 47.46521443 | 775.03260004 |
| 1.62 | 1 | 0.40 | 50.26521443 | 937.09484954 |
| 1.62 | 1 | 0.40 | 53.06521443 | 993.93486609 |
| 1.62 | 1 | 0.40 | 55.84021443 | 929.57565677 |
| 1.62 | 1 | 0.40 | 58.64021443 | 773.65761156 |
| 1.62 | 1 | 0.40 | 61.44021443 | 579.31870246 |
| 1.62 | 1 | 0.40 | 64.24021443 | 393.69072114 |
| 1.62 | 1 | 0.40 | 67.01521443 | 245.64221474 |
| 1.62 | 1 | 0.40 | 69.81521443 | 140.33573103 |
| 1.62 | 1 | 0.40 | 72.61521443 | 74.11626784 |
| 1.62 | 1 | 0.40 | 75.39021443 | 36.62329622 |
| 1.62 | 1 | 0.40 | 78.19021443 | 16.79833585 |
| 1.62 | 1 | 0.40 | 89.39021443 | 0.40565524 |
| 1.62 | 1 | 0.40 | 100.56521443 | 0.00665482 |
| 1.62 | 1 | 0.40 | 111.71521443 | 0.00098165 |
| 1.62 | 1 | 0.40 | 122.89021443 | 0.00023118 |
| 1.62 | 1 | 0.40 | 134.06521443 | 0.00004421 |
| 1.62 | 1 | 0.45 | 25.13274123 | 1.00000000 |
| 1.62 | 1 | 0.45 | 27.93274123 | 5.62085245 |
| 1.62 | 1 | 0.45 | 30.70774123 | 20.77258298 |
| 1.62 | 1 | 0.45 | 33.50774123 | 54.14055605 |
| 1.62 | 1 | 0.45 | 36.30774123 | 109.47697845 |
| 1.62 | 1 | 0.45 | 39.10774123 | 188.20288357 |
| 1.62 | 1 | 0.45 | 41.88274123 | 292.08695672 |
| 1.62 | 1 | 0.45 | 44.68274123 | 423.23346572 |
| 1.62 | 1 | 0.45 | 47.48274123 | 562.86752630 |
| 1.62 | 1 | 0.45 | 50.25774123 | 669.39668169 |
| 1.62 | 1 | 0.45 | 53.05774123 | 706.35364337 |
| 1.62 | 1 | 0.45 | 55.85774123 | 660.30291564 |
| 1.62 | 1 | 0.45 | 58.63274123 | 551.73544951 |
| 1.62 | 1 | 0.45 | 61.43274123 | 414.29331443 |
| 1.62 | 1 | 0.45 | 64.23274123 | 281.99373961 |
| 1.62 | 1 | 0.45 | 67.03274123 | 175.20344224 |
| 1.62 | 1 | 0.45 | 69.80774123 | 100.55097885 |
| 1.62 | 1 | 0.45 | 72.60774123 | 53.12716752 |
| 1.62 | 1 | 0.45 | 75.40774123 | 26.11825486 |
| 1.62 | 1 | 0.45 | 78.18274123 | 12.09097413 |
| 1.62 | 1 | 0.45 | 80.98274123 | 5.21504900 |
| 1.62 | 1 | 0.45 | 92.18274123 | 0.10066489 |
| 1.62 | 1 | 0.45 | 103.35774123 | 0.00327056 |
| 1.62 | 1 | 0.45 | 114.50774123 | 0.00076301 |
| 1.62 | 1 | 0.45 | 125.68274123 | 0.00017808 |
| 1.62 | 1 | 0.45 | 136.85774123 | 0.00004229 |
| 1.62 | 1 | 0.50 | 27.92526803 | 1.00000000 |
| 1.62 | 1 | 0.50 | 30.72526803 | 5.38522742 |
| 1.62 | 1 | 0.50 | 33.50026803 | 19.64383429 |
| 1.62 | 1 | 0.50 | 36.30026803 | 52.27387656 |
| 1.62 | 1 | 0.50 | 39.10026803 | 109.90735116 |
| 1.62 | 1 | 0.50 | 41.90026803 | 194.38971980 |
| 1.62 | 1 | 0.50 | 44.67526803 | 296.90240417 |
| 1.62 | 1 | 0.50 | 47.47526803 | 397.83071291 |
| 1.62 | 1 | 0.50 | 50.27526803 | 467.63203087 |
| 1.62 | 1 | 0.50 | 53.05026803 | 486.25472132 |
| 1.62 | 1 | 0.50 | 55.85026803 | 450.75490145 |
| 1.62 | 1 | 0.50 | 58.65026803 | 374.80004822 |
| 1.62 | 1 | 0.50 | 61.42526803 | 282.30445552 |
| 1.62 | 1 | 0.50 | 64.22526803 | 192.61404165 |
| 1.62 | 1 | 0.50 | 67.02526803 | 119.86980338 |
| 1.62 | 1 | 0.50 | 69.82526803 | 68.41414016 |
| 1.62 | 1 | 0.50 | 72.60026803 | 36.28068809 |
| 1.62 | 1 | 0.50 | 75.40026803 | 17.80597490 |
| 1.62 | 1 | 0.50 | 78.20026803 | 8.18570639 |
| 1.62 | 1 | 0.50 | 80.97526803 | 3.56951121 |
| 1.62 | 1 | 0.50 | 83.77526803 | 1.45960643 |
| 1.62 | 1 | 0.50 | 94.97526803 | 0.02644599 |
| 1.62 | 1 | 0.50 | 106.15026803 | 0.00284123 |
| 1.62 | 1 | 0.50 | 117.30026803 | 0.00070708 |
| 1.62 | 1 | 0.50 | 128.47526803 | 0.00017092 |
| 1.62 | 1 | 0.50 | 139.65026803 | 0.00004125 |
| 1.62 | 1 | 0.55 | 30.71779484 | 1.00000000 |
| 1.62 | 1 | 0.55 | 33.51779484 | 5.17556178 |
| 1.62 | 1 | 0.55 | 36.29279484 | 18.75149046 |
| 1.62 | 1 | 0.55 | 39.09279484 | 50.80051508 |
| 1.62 | 1 | 0.55 | 41.89279484 | 108.64220189 |
| 1.62 | 1 | 0.55 | 44.69279484 | 188.89374562 |
| 1.62 | 1 | 0.55 | 47.46779484 | 269.54454551 |
| 1.62 | 1 | 0.55 | 50.26779484 | 324.05596543 |
| 1.62 | 1 | 0.55 | 53.06779484 | 336.41488027 |
| 1.62 | 1 | 0.55 | 55.84279484 | 308.71169556 |
| 1.62 | 1 | 0.55 | 58.64279484 | 253.88768066 |
| 1.62 | 1 | 0.55 | 61.44279484 | 189.33402226 |
| 1.62 | 1 | 0.55 | 64.21779484 | 129.37040085 |
| 1.62 | 1 | 0.55 | 67.01779484 | 80.71702823 |
| 1.62 | 1 | 0.55 | 69.81779484 | 46.23548939 |
| 1.62 | 1 | 0.55 | 72.61779484 | 24.41153540 |
| 1.62 | 1 | 0.55 | 75.39279484 | 12.03127309 |
| 1.62 | 1 | 0.55 | 78.19279484 | 5.50565631 |
| 1.62 | 1 | 0.55 | 80.99279484 | 2.37239916 |
| 1.62 | 1 | 0.55 | 83.76779484 | 0.97890181 |
| 1.62 | 1 | 0.55 | 86.56779484 | 0.38467836 |
| 1.62 | 1 | 0.55 | 97.76779484 | 0.01378973 |
| 1.62 | 1 | 0.55 | 108.94279484 | 0.00280674 |
| 1.62 | 1 | 0.55 | 120.09279484 | 0.00068316 |
| 1.62 | 1 | 0.55 | 131.26779484 | 0.00016562 |
| 1.62 | 1 | 0.55 | 142.44279484 | 0.00004008 |
| 1.62 | 1 | 0.60 | 33.51032164 | 1.00000000 |
| 1.62 | 1 | 0.60 | 36.31032164 | 4.99835423 |
| 1.62 | 1 | 0.60 | 39.08532164 | 18.02105277 |
| 1.62 | 1 | 0.60 | 41.88532164 | 49.05364249 |
| 1.62 | 1 | 0.60 | 44.68532164 | 102.97444043 |
| 1.62 | 1 | 0.60 | 47.48532164 | 168.52492184 |
| 1.62 | 1 | 0.60 | 50.26032164 | 219.60282282 |
| 1.62 | 1 | 0.60 | 53.06032164 | 238.16573611 |
| 1.62 | 1 | 0.60 | 55.86032164 | 221.79663507 |
| 1.62 | 1 | 0.60 | 58.63532164 | 182.23375796 |
| 1.62 | 1 | 0.60 | 61.43532164 | 134.30582692 |
| 1.62 | 1 | 0.60 | 64.23532164 | 90.26857935 |
| 1.62 | 1 | 0.60 | 67.01032164 | 56.14731217 |
| 1.62 | 1 | 0.60 | 69.81032164 | 32.19529566 |
| 1.62 | 1 | 0.60 | 72.61032164 | 17.11769642 |
| 1.62 | 1 | 0.60 | 75.41032164 | 8.44849970 |
| 1.62 | 1 | 0.60 | 78.18532164 | 3.90806374 |
| 1.62 | 1 | 0.60 | 80.98532164 | 1.67881519 |
| 1.62 | 1 | 0.60 | 83.78532164 | 0.68046917 |
| 1.62 | 1 | 0.60 | 86.56032164 | 0.26755212 |
| 1.62 | 1 | 0.60 | 89.36032164 | 0.10508007 |
| 1.62 | 1 | 0.60 | 100.56032164 | 0.01152539 |
| 1.62 | 1 | 0.60 | 111.73532164 | 0.00274093 |
| 1.62 | 1 | 0.60 | 122.88532164 | 0.00066424 |
| 1.62 | 1 | 0.60 | 134.06032164 | 0.00016092 |
| 1.62 | 1 | 0.60 | 145.23532164 | 0.00003909 |
| 1.62 | 1 | 0.65 | 36.30284844 | 1.00000000 |
| 1.62 | 1 | 0.65 | 39.10284844 | 4.84119688 |
| 1.62 | 1 | 0.65 | 41.87784844 | 17.29853552 |
| 1.62 | 1 | 0.65 | 44.67784844 | 46.20130931 |
| 1.62 | 1 | 0.65 | 47.47784844 | 91.98237500 |
| 1.62 | 1 | 0.65 | 50.27784844 | 139.20242987 |
| 1.62 | 1 | 0.65 | 53.05284844 | 167.20172779 |
| 1.62 | 1 | 0.65 | 55.85284844 | 166.88195320 |
| 1.62 | 1 | 0.65 | 58.65284844 | 142.23142684 |
| 1.62 | 1 | 0.65 | 61.42784844 | 106.34495101 |
| 1.62 | 1 | 0.65 | 64.22784844 | 70.84934721 |
| 1.62 | 1 | 0.65 | 67.02784844 | 42.98182075 |
| 1.62 | 1 | 0.65 | 69.80284844 | 24.27689008 |
| 1.62 | 1 | 0.65 | 72.60284844 | 12.78592944 |
| 1.62 | 1 | 0.65 | 75.40284844 | 6.34505964 |
| 1.62 | 1 | 0.65 | 78.20284844 | 2.96836007 |
| 1.62 | 1 | 0.65 | 80.97784844 | 1.31775634 |
| 1.62 | 1 | 0.65 | 83.77784844 | 0.54902458 |
| 1.62 | 1 | 0.65 | 86.57784844 | 0.22103434 |
| 1.62 | 1 | 0.65 | 89.35284844 | 0.09445377 |
| 1.62 | 1 | 0.65 | 92.15284844 | 0.05003299 |
| 1.62 | 1 | 0.65 | 103.35284844 | 0.01072175 |
| 1.62 | 1 | 0.65 | 114.52784844 | 0.00267462 |
| 1.62 | 1 | 0.65 | 125.67784844 | 0.00065316 |
| 1.62 | 1 | 0.65 | 136.85284844 | 0.00015838 |
| 1.62 | 1 | 0.65 | 148.02784844 | 0.00003865 |
| 1.62 | 1 | 0.70 | 39.09537524 | 1.00000000 |
| 1.62 | 1 | 0.70 | 41.89537524 | 4.70437434 |
| 1.62 | 1 | 0.70 | 44.67037524 | 16.48233126 |
| 1.62 | 1 | 0.70 | 47.47037524 | 42.13535626 |
| 1.62 | 1 | 0.70 | 50.27037524 | 78.45642209 |
| 1.62 | 1 | 0.70 | 53.07037524 | 111.09948941 |
| 1.62 | 1 | 0.70 | 55.84537524 | 125.81996365 |
| 1.62 | 1 | 0.70 | 58.64537524 | 118.32044088 |
| 1.62 | 1 | 0.70 | 61.44537524 | 94.56826782 |
| 1.62 | 1 | 0.70 | 64.22037524 | 65.78430187 |
| 1.62 | 1 | 0.70 | 67.02037524 | 40.30966772 |
| 1.62 | 1 | 0.70 | 69.82037524 | 22.25662512 |
| 1.62 | 1 | 0.70 | 72.59537524 | 11.39633830 |
| 1.62 | 1 | 0.70 | 75.39537524 | 5.47161818 |
| 1.62 | 1 | 0.70 | 78.19537524 | 2.52889255 |
| 1.62 | 1 | 0.70 | 80.99537524 | 1.14376191 |
| 1.62 | 1 | 0.70 | 83.77037524 | 0.51947996 |
| 1.62 | 1 | 0.70 | 86.57037524 | 0.24298461 |
| 1.62 | 1 | 0.70 | 89.37037524 | 0.12533257 |
| 1.62 | 1 | 0.70 | 92.14537524 | 0.07320026 |
| 1.62 | 1 | 0.70 | 94.94537524 | 0.04643165 |
| 1.62 | 1 | 0.70 | 106.14537524 | 0.01057152 |
| 1.62 | 1 | 0.70 | 117.32037524 | 0.00264795 |
| 1.62 | 1 | 0.70 | 128.47037524 | 0.00064944 |
| 1.62 | 1 | 0.70 | 139.64537524 | 0.00015798 |
| 1.62 | 1 | 0.70 | 150.82037524 | 0.00003861 |
| 1.62 | 1 | 0.75 | 41.88790205 | 1.00000000 |
| 1.62 | 1 | 0.75 | 44.68790205 | 4.59085916 |
| 1.62 | 1 | 0.75 | 47.46290205 | 15.56567840 |
| 1.62 | 1 | 0.75 | 50.26290205 | 37.55904847 |
| 1.62 | 1 | 0.75 | 53.06290205 | 65.90707883 |
| 1.62 | 1 | 0.75 | 55.86290205 | 89.04688381 |
| 1.62 | 1 | 0.75 | 58.63790205 | 96.86674509 |
| 1.62 | 1 | 0.75 | 61.43790205 | 87.60333588 |
| 1.62 | 1 | 0.75 | 64.23790205 | 67.21375583 |
| 1.62 | 1 | 0.75 | 67.01290205 | 44.67417657 |
| 1.62 | 1 | 0.75 | 69.81290205 | 25.90890230 |
| 1.62 | 1 | 0.75 | 72.61290205 | 13.35870918 |
| 1.62 | 1 | 0.75 | 75.38790205 | 6.28891994 |
| 1.62 | 1 | 0.75 | 78.18790205 | 2.73929343 |
| 1.62 | 1 | 0.75 | 80.98790205 | 1.16227847 |
| 1.62 | 1 | 0.75 | 83.78790205 | 0.52705928 |
| 1.62 | 1 | 0.75 | 86.56290205 | 0.28328976 |
| 1.62 | 1 | 0.75 | 89.36290205 | 0.16978719 |
| 1.62 | 1 | 0.75 | 92.16290205 | 0.10689250 |
| 1.62 | 1 | 0.75 | 94.93790205 | 0.06958461 |
| 1.62 | 1 | 0.75 | 97.73790205 | 0.04624424 |
| 1.62 | 1 | 0.75 | 108.93790205 | 0.01066805 |
| 1.62 | 1 | 0.75 | 120.11290205 | 0.00265882 |
| 1.62 | 1 | 0.75 | 131.26290205 | 0.00065232 |
| 1.62 | 1 | 0.75 | 142.43790205 | 0.00015846 |
| 1.62 | 1 | 0.75 | 153.61290205 | 0.00003863 |
| 1.62 | 1 | 0.80 | 44.68042885 | 1.00000000 |
| 1.62 | 1 | 0.80 | 47.48042885 | 4.50938501 |
| 1.62 | 1 | 0.80 | 50.25542885 | 14.64168875 |
| 1.62 | 1 | 0.80 | 53.05542885 | 33.33284179 |
| 1.62 | 1 | 0.80 | 55.85542885 | 55.90481495 |
| 1.62 | 1 | 0.80 | 58.65542885 | 73.01499338 |
| 1.62 | 1 | 0.80 | 61.43042885 | 77.24351231 |
| 1.62 | 1 | 0.80 | 64.23042885 | 68.18667106 |
| 1.62 | 1 | 0.80 | 67.03042885 | 51.19744262 |
| 1.62 | 1 | 0.80 | 69.80542885 | 33.34690197 |
| 1.62 | 1 | 0.80 | 72.60542885 | 18.93098991 |
| 1.62 | 1 | 0.80 | 75.40542885 | 9.51366802 |
| 1.62 | 1 | 0.80 | 78.18042885 | 4.32828767 |
| 1.62 | 1 | 0.80 | 80.98042885 | 1.80101891 |
| 1.62 | 1 | 0.80 | 83.78042885 | 0.73833362 |
| 1.62 | 1 | 0.80 | 86.58042885 | 0.36410347 |
| 1.62 | 1 | 0.80 | 89.35542885 | 0.22444970 |
| 1.62 | 1 | 0.80 | 92.15542885 | 0.14727594 |
| 1.62 | 1 | 0.80 | 94.95542885 | 0.09854367 |
| 1.62 | 1 | 0.80 | 97.73042885 | 0.06684456 |
| 1.62 | 1 | 0.80 | 100.53042885 | 0.04561163 |
| 1.62 | 1 | 0.80 | 111.73042885 | 0.01337462 |
| 1.62 | 1 | 0.80 | 122.90542885 | 0.00365053 |
| 1.62 | 1 | 0.80 | 134.05542885 | 0.00068299 |
| 1.62 | 1 | 0.80 | 145.23042885 | 0.00016019 |
| 1.62 | 1 | 0.80 | 156.40542885 | 0.00003874 |
| 1.62 | 1 | 0.85 | 47.47295565 | 1.00000000 |
| 1.62 | 1 | 0.85 | 50.27295565 | 4.47206031 |
| 1.62 | 1 | 0.85 | 53.04795565 | 13.80361300 |
| 1.62 | 1 | 0.85 | 55.84795565 | 29.77445406 |
| 1.62 | 1 | 0.85 | 58.64795565 | 48.14285633 |
| 1.62 | 1 | 0.85 | 61.44795565 | 61.15796457 |
| 1.62 | 1 | 0.85 | 64.22295565 | 63.35774270 |
| 1.62 | 1 | 0.85 | 67.02295565 | 55.09941502 |
| 1.62 | 1 | 0.85 | 69.82295565 | 41.00916193 |
| 1.62 | 1 | 0.85 | 72.59795565 | 26.64698221 |
| 1.62 | 1 | 0.85 | 75.39795565 | 15.19437939 |
| 1.62 | 1 | 0.85 | 78.19795565 | 7.73060066 |
| 1.62 | 1 | 0.85 | 80.97295565 | 3.60006162 |
| 1.62 | 1 | 0.85 | 83.77295565 | 1.56695284 |
| 1.62 | 1 | 0.85 | 86.57295565 | 0.69603657 |
| 1.62 | 1 | 0.85 | 89.37295565 | 0.35728138 |
| 1.62 | 1 | 0.85 | 92.14795565 | 0.21562717 |
| 1.62 | 1 | 0.85 | 94.94795565 | 0.14050162 |
| 1.62 | 1 | 0.85 | 97.74795565 | 0.09504120 |
| 1.62 | 1 | 0.85 | 100.52295565 | 0.07560278 |
| 1.62 | 1 | 0.85 | 103.32295565 | 0.10178662 |
| 1.62 | 1 | 0.85 | 114.52295565 | 0.10211515 |
| 1.62 | 1 | 0.85 | 125.69795565 | 0.01853411 |
| 1.62 | 1 | 0.85 | 136.84795565 | 0.00112292 |
| 1.62 | 1 | 0.85 | 148.02295565 | 0.00016639 |
| 1.62 | 1 | 0.85 | 159.19795565 | 0.00003924 |
| 1.62 | 1 | 0.90 | 50.26548246 | 1.00000000 |
| 1.62 | 1 | 0.90 | 53.06548246 | 4.50357755 |
| 1.62 | 1 | 0.90 | 55.84048246 | 13.15077946 |
| 1.62 | 1 | 0.90 | 58.64048246 | 26.95164674 |
| 1.62 | 1 | 0.90 | 61.44048246 | 42.17421773 |
| 1.62 | 1 | 0.90 | 64.24048246 | 52.27871283 |
| 1.62 | 1 | 0.90 | 67.01548246 | 53.25705363 |
| 1.62 | 1 | 0.90 | 69.81548246 | 45.88461048 |
| 1.62 | 1 | 0.90 | 72.61548246 | 34.10313225 |
| 1.62 | 1 | 0.90 | 75.39048246 | 22.32195147 |
| 1.62 | 1 | 0.90 | 78.19048246 | 12.95550400 |
| 1.62 | 1 | 0.90 | 80.99048246 | 6.79753887 |
| 1.62 | 1 | 0.90 | 83.76548246 | 3.32033749 |
| 1.62 | 1 | 0.90 | 86.56548246 | 1.54816857 |
| 1.62 | 1 | 0.90 | 89.36548246 | 0.73872375 |
| 1.62 | 1 | 0.90 | 92.16548246 | 0.38695878 |
| 1.62 | 1 | 0.90 | 94.94048246 | 0.28449311 |
| 1.62 | 1 | 0.90 | 97.74048246 | 0.44857970 |
| 1.62 | 1 | 0.90 | 100.54048246 | 0.68029398 |
| 1.62 | 1 | 0.90 | 103.31548246 | 0.93681796 |
| 1.62 | 1 | 0.90 | 106.11548246 | 1.13526031 |
| 1.62 | 1 | 0.90 | 117.31548246 | 0.70552811 |
| 1.62 | 1 | 0.90 | 128.49048246 | 0.08991575 |
| 1.62 | 1 | 0.90 | 139.64048246 | 0.00369280 |
| 1.62 | 1 | 0.90 | 150.81548246 | 0.00018696 |
| 1.62 | 1 | 0.90 | 161.99048246 | 0.00004039 |
| 1.62 | 1 | 0.95 | 53.05800926 | 1.00000000 |
| 1.62 | 1 | 0.95 | 55.85800926 | 4.64223103 |
| 1.62 | 1 | 0.95 | 58.63300926 | 12.77282698 |
| 1.62 | 1 | 0.95 | 61.43300926 | 24.78650553 |
| 1.62 | 1 | 0.95 | 64.23300926 | 37.56387972 |
| 1.62 | 1 | 0.95 | 67.03300926 | 45.53105020 |
| 1.62 | 1 | 0.95 | 69.80800926 | 45.71787779 |
| 1.62 | 1 | 0.95 | 72.60800926 | 39.13266384 |
| 1.62 | 1 | 0.95 | 75.40800926 | 29.13479703 |
| 1.62 | 1 | 0.95 | 78.18300926 | 19.27229403 |
| 1.62 | 1 | 0.95 | 80.98300926 | 11.42346808 |
| 1.62 | 1 | 0.95 | 83.78300926 | 6.19827667 |
| 1.62 | 1 | 0.95 | 86.55800926 | 3.17475849 |
| 1.62 | 1 | 0.95 | 89.35800926 | 1.57198571 |
| 1.62 | 1 | 0.95 | 92.15800926 | 1.43113314 |
| 1.62 | 1 | 0.95 | 94.95800926 | 2.18792773 |
| 1.62 | 1 | 0.95 | 97.73300926 | 3.41278430 |
| 1.62 | 1 | 0.95 | 100.53300926 | 5.18460387 |
| 1.62 | 1 | 0.95 | 103.33300926 | 7.16740227 |
| 1.62 | 1 | 0.95 | 106.10800926 | 8.67791928 |
| 1.62 | 1 | 0.95 | 108.90800926 | 9.19490438 |
| 1.62 | 1 | 0.95 | 120.10800926 | 3.68130900 |
| 1.62 | 1 | 0.95 | 131.28300926 | 0.33923057 |
| 1.62 | 1 | 0.95 | 142.43300926 | 0.01069373 |
| 1.62 | 1 | 0.95 | 153.60800926 | 0.00024555 |
| 1.62 | 1 | 0.95 | 164.78300926 | 0.00004244 |
| 1.62 | 1 | 1.00 | 55.85053606 | 1.00000000 |
| 1.62 | 1 | 1.00 | 58.65053606 | 4.91539676 |
| 1.62 | 1 | 1.00 | 61.42553606 | 12.81472908 |
| 1.62 | 1 | 1.00 | 64.22553606 | 23.18300486 |
| 1.62 | 1 | 1.00 | 67.02553606 | 33.91868118 |
| 1.62 | 1 | 1.00 | 69.82553606 | 40.24822881 |
| 1.62 | 1 | 1.00 | 72.60053606 | 39.86218605 |
| 1.62 | 1 | 1.00 | 75.40053606 | 33.91360717 |
| 1.62 | 1 | 1.00 | 78.20053606 | 25.30396469 |
| 1.62 | 1 | 1.00 | 80.97553606 | 16.91668900 |
| 1.62 | 1 | 1.00 | 83.77553606 | 10.23134680 |
| 1.62 | 1 | 1.00 | 86.57553606 | 5.73285229 |
| 1.62 | 1 | 1.00 | 89.35053606 | 5.71100171 |
| 1.62 | 1 | 1.00 | 92.15053606 | 8.41209895 |
| 1.62 | 1 | 1.00 | 94.95053606 | 12.89695902 |
| 1.62 | 1 | 1.00 | 97.75053606 | 20.20853291 |
| 1.62 | 1 | 1.00 | 100.52553606 | 30.57608538 |
| 1.62 | 1 | 1.00 | 103.32553606 | 42.26657533 |
| 1.62 | 1 | 1.00 | 106.12553606 | 51.23076550 |
| 1.62 | 1 | 1.00 | 108.90053606 | 54.22357431 |
| 1.62 | 1 | 1.00 | 111.70053606 | 50.61105917 |
| 1.62 | 1 | 1.00 | 122.90053606 | 13.46085432 |
| 1.62 | 1 | 1.00 | 134.07553606 | 0.91524615 |
| 1.62 | 1 | 1.00 | 145.22553606 | 0.02271363 |
| 1.62 | 1 | 1.00 | 156.40053606 | 0.00036583 |
| 1.62 | 1 | 1.00 | 167.57553606 | 0.00005100 |