% DNS of a turbulent zero-pressure gradient boundary layer % References: % Schlatter and Orlu, 2010, J. Fluid Mech., 659 (2010) % Schlatter et al., 2009, Bulletin APS, 54:19, page 59 % % Integral quantities: % Re_{\theta} = 4061.378 % Re_{\delta^*} = 5633.318 % Re_{\tau} = 1271.5350 % H_{12} = 1.387046 % c_f = 0.002970989 % % Wall-normal profiles: % y/\delta_{99} y+ U+ urms+ vrms+ wrms+ uv+ prms+ pu+ pv+ S(u) F(u) dU+/dy+ V+ omxrms^+ omyrms^+ omzrms^+ 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 -0.0000000 2.8678169 0.0000000 -0.0000000 -0.1595101 5.2106039 1.0000000 0.0000000 0.2925236 0.0000000 0.4260930 0.0000257 0.0326495 0.0326495 0.0139059 0.0000142 0.0095131 -0.0000000 2.8675184 0.0046742 -0.0000140 1.0704774 5.2106039 0.9999992 0.0000000 0.2902129 0.0010099 0.4257372 0.0001027 0.1305967 0.1305965 0.0555532 0.0002238 0.0375954 -0.0000024 2.8666681 0.0186681 -0.0002185 1.0773718 5.2156771 0.9999950 0.0000000 0.2832506 0.0040399 0.4247131 0.0002311 0.2938380 0.2938351 0.1247497 0.0011043 0.0829030 -0.0000281 2.8654007 0.0417042 -0.0010580 1.0883737 5.2254684 0.9999660 0.0000001 0.2721131 0.0090912 0.4233000 0.0004108 0.5223672 0.5223437 0.2212415 0.0033675 0.1433476 -0.0001612 2.8639403 0.0730350 -0.0031434 1.1020186 5.2391581 0.9998284 0.0000003 0.2575113 0.0161674 0.4218072 0.0006419 0.8161758 0.8160424 0.3447349 0.0078560 0.2162653 -0.0006287 2.8626008 0.1110801 -0.0070950 1.1159347 5.2491330 0.9993545 0.0000007 0.2401445 0.0252688 0.4203237 0.0009243 1.1752525 1.1746830 0.4948043 0.0154219 0.2986282 -0.0019163 2.8617878 0.1532746 -0.0133881 1.1262100 5.2368918 0.9980588 0.0000015 0.2208875 0.0363747 0.4185575 0.0012580 1.5995841 1.5976200 0.6705814 0.0268118 0.3872589 -0.0049008 2.8619951 0.1961840 -0.0222452 1.1272373 5.1727994 0.9950634 0.0000028 0.2007450 0.0494053 0.4156437 0.0016430 2.0891543 2.0834163 0.8701871 0.0425767 0.4790453 -0.0109488 2.8637892 0.2359272 -0.0335986 1.1124309 5.0253122 0.9890013 0.0000047 0.1810574 0.0641687 0.4102335 0.0020793 2.6439449 2.6292779 1.0900243 0.0630200 0.5711499 -0.0218961 2.8677769 0.2688520 -0.0471257 1.0761127 4.7785375 0.9780351 0.0000076 0.1635068 0.0803117 0.4009337 0.0025669 3.2639349 3.2304006 1.3242508 0.0881881 0.6611971 -0.0398286 2.8745542 0.2923066 -0.0623304 1.0157605 4.4451517 0.9600778 0.0000115 0.1499394 0.0973064 0.3870237 0.0031058 3.9491010 3.8794176 1.5648141 0.1178970 0.7474092 -0.0666611 2.8846486 0.3053169 -0.0786347 0.9330899 4.0625277 0.9332124 0.0000167 0.1417770 0.1144915 0.3690311 0.0036959 4.6994175 4.5661907 1.8022186 0.1517835 0.8286573 -0.1036245 2.8984599 0.3089492 -0.0954470 0.8332942 3.6760238 0.8962065 0.0000233 0.1393369 0.1311558 0.3487587 0.0043372 5.5148559 5.2781336 2.0268323 0.1893654 0.9044111 -0.1508513 2.9162169 0.3062117 -0.1121921 0.7231923 3.3230625 0.8489254 0.0000315 0.1416254 0.1466370 0.3286761 0.0050297 6.3953857 6.0010867 2.2302850 0.2300949 0.9746030 -0.2072234 2.9379435 0.3014647 -0.1283137 0.6094677 3.0260269 0.7924858 0.0000415 0.1469079 0.1604034 0.3109617 0.0057733 7.3409737 6.7205742 2.4065135 0.2733989 1.0394482 -0.2705406 2.9634497 0.2995103 -0.1432699 0.4976204 2.7930252 0.7290859 0.0000532 0.1534896 0.1721005 0.2967231 0.0065681 8.3515843 7.4231413 2.5522128 0.3187009 1.0992714 -0.3379356 2.9923252 0.3046076 -0.1565480 0.3916201 2.6221463 0.6615918 0.0000667 0.1601404 0.1815605 0.2858160 0.0074140 9.4271795 8.0974655 2.6667040 0.3654312 1.1543816 -0.4063859 3.0239614 0.3197199 -0.1677049 0.2939873 2.5059312 0.5930242 0.0000821 0.1661406 0.1887800 0.2772777 0.0083110 10.5677187 8.7350391 2.7514032 0.4130300 1.2050128 -0.4731683 3.0575727 0.3461302 -0.1764232 0.2060542 2.4347254 0.5261053 0.0000992 0.1711485 0.1938807 0.2699665 0.0092590 11.7731590 9.3303637 2.8091260 0.4609515 1.2513197 -0.5361564 3.0922561 0.3834930 -0.1825636 0.1282675 2.3987719 0.4629598 0.0001181 0.1750581 0.1970640 0.2630045 0.0102580 13.0434550 9.8807341 2.8434251 0.5086728 1.2934054 -0.5939358 3.1270443 0.4301729 -0.1861903 0.0604721 2.3893212 0.4050013 0.0001388 0.1778896 0.1985700 0.2559066 0.0113080 14.3785589 10.3857567 2.8580706 0.5557057 1.3313590 -0.6457688 3.1609893 0.4837537 -0.1875652 0.0021485 2.3990783 0.3529659 0.0001611 0.1797276 0.1986459 0.2485062 0.0124090 15.7784205 10.8467604 2.8567055 0.6016105 1.3652871 -0.6914680 3.1932141 0.5415196 -0.1871049 -0.0474057 2.4222289 0.3070406 0.0001850 0.1806799 0.1975261 0.2408189 0.0135608 17.2429870 11.2662233 2.8426548 0.6460075 1.3953344 -0.7312359 3.2229801 0.6008626 -0.1853247 -0.0889507 2.4542551 0.2670218 0.0002104 0.1808580 0.1954227 0.2329284 0.0147634 18.7722033 11.6472890 2.8188410 0.6885852 1.4216909 -0.7655140 3.2497051 0.6595204 -0.1827680 -0.1232305 2.4916909 0.2324681 0.0002374 0.1803643 0.1925224 0.2249303 0.0160169 20.3660118 11.9934000 2.7877648 0.7291034 1.4445887 -0.7948616 3.2729949 0.7156919 -0.1799515 -0.1509409 2.5318747 0.2028196 0.0002657 0.1792930 0.1889884 0.2169144 0.0173211 22.0243525 12.3080445 2.7515272 0.7673908 1.4642928 -0.8198723 3.2926142 0.7680243 -0.1773105 -0.1727206 2.5727449 0.1774832 0.0002955 0.1777256 0.1849623 0.2089564 0.0186760 23.7471630 12.5945947 2.7118705 0.8033386 1.4810870 -0.8411226 3.3084763 0.8155678 -0.1751793 -0.1891568 2.6126979 0.1558825 0.0003266 0.1757382 0.1805688 0.2011134 0.0200815 25.5343784 12.8562122 2.6702196 0.8368927 1.4952575 -0.8591442 3.3205901 0.8576968 -0.1737734 -0.2007972 2.6505081 0.1374861 0.0003590 0.1733949 0.1759180 0.1934248 0.0215377 27.3859314 13.0958008 2.6277134 0.8680455 1.5070730 -0.8744102 3.3290507 0.8940429 -0.1732023 -0.2081666 2.6852941 0.1218211 0.0003927 0.1707556 0.1711068 0.1859408 0.0230444 29.3017523 13.3159924 2.5852440 0.8968285 1.5167681 -0.8873329 3.3340012 0.9244063 -0.1734767 -0.2117785 2.7164667 0.1084753 0.0004277 0.1678791 0.1662178 0.1787172 0.0246016 31.2817691 13.5191483 2.5435050 0.9233046 1.5245481 -0.8982685 3.3356358 0.9487721 -0.1745418 -0.2121250 2.7436800 0.0970927 0.0004639 0.1648234 0.1613210 0.1717915 0.0262092 33.3259070 13.7073695 2.5030280 0.9475613 1.5306032 -0.9075216 3.3341726 0.9673185 -0.1762961 -0.2096795 2.7668317 0.0873687 0.0005013 0.1616317 0.1564757 0.1651857 0.0278672 35.4340892 13.8825156 2.4642040 0.9697051 1.5351105 -0.9153490 3.3298661 0.9803768 -0.1786194 -0.2049051 2.7859960 0.0790463 0.0005400 0.1583388 0.1517303 0.1589185 0.0295755 37.6062364 14.0462292 2.4273024 0.9898546 1.5382271 -0.9219673 3.3229815 0.9883211 -0.1813764 -0.1982317 2.8013597 0.0719087 0.0005800 0.1549776 0.1471224 0.1530026 0.0313340 39.8422666 14.1999538 2.3924905 1.0081359 1.5400954 -0.9275603 3.3138010 0.9915570 -0.1844271 -0.1900536 2.8132226 0.0657712 0.0006213 0.1515846 0.1426790 0.1474460 0.0331427 42.1420958 14.3449542 2.3598576 1.0246778 1.5408536 -0.9322818 3.3025944 0.9904454 -0.1876304 -0.1807422 2.8219197 0.0604794 0.0006640 0.1481840 0.1384190 0.1422593 0.0350015 44.5056374 14.4823385 2.3294388 1.0396073 1.5406357 -0.9362608 3.2896072 0.9853320 -0.1908624 -0.1706455 2.8277757 0.0559035 0.0007081 0.1447979 0.1343536 0.1374401 0.0369103 46.9328023 14.6130717 2.3012336 1.0530462 1.5395737 -0.9396092 3.2750542 0.9765893 -0.1940269 -0.1600629 2.8311294 0.0519309 0.0007536 0.1414439 0.1304872 0.1329702 0.0388692 49.4234992 14.7379862 2.2752048 1.0651105 1.5377931 -0.9424222 3.2591439 0.9646785 -0.1970549 -0.1492454 2.8323696 0.0484663 0.0008008 0.1381391 0.1268192 0.1288166 0.0408779 51.9776343 14.8577980 2.2512755 1.0759108 1.5354055 -0.9447796 3.2420873 0.9500869 -0.1998901 -0.1384105 2.8318978 0.0454294 0.0008494 0.1348918 0.1233463 0.1249435 0.0429364 54.5951115 14.9731211 2.2293276 1.0855540 1.5324996 -0.9467471 3.2240879 0.9333357 -0.2024827 -0.1277496 2.8300660 0.0427550 0.0008996 0.1317149 0.1200626 0.1213340 0.0450446 57.2758322 15.0844893 2.2092217 1.0941420 1.5291476 -0.9483775 3.2053344 0.9148914 -0.2047860 -0.1174269 2.8271491 0.0403898 0.0009514 0.1286176 0.1169606 0.1179753 0.0472025 60.0196954 15.1923595 2.1908149 1.1017707 1.5254105 -0.9497202 3.1859950 0.8951741 -0.2067622 -0.1075688 2.8233926 0.0382843 0.0010048 0.1256056 0.1140300 0.1148456 0.0494100 62.8265979 15.2971124 2.1739734 1.1085312 1.5213459 -0.9508174 3.1662286 0.8745382 -0.2083824 -0.0982724 2.8189635 0.0363952 0.0010599 0.1226846 0.1112600 0.1119150 0.0516670 65.6964341 15.3990620 2.1585726 1.1145106 1.5170131 -0.9517031 3.1461757 0.8533344 -0.2096336 -0.0896168 2.8140300 0.0346882 0.0011167 0.1198651 0.1086400 0.1091574 0.0539734 68.6290957 15.4984733 2.1444888 1.1197908 1.5124886 -0.9524018 3.1259518 0.8318595 -0.2105051 -0.0816563 2.8087555 0.0331373 0.0011752 0.1171435 0.1061602 0.1065583 0.0563291 71.6244725 15.5955721 2.1315905 1.1244478 1.5078498 -0.9529347 3.1056611 0.8103877 -0.2109989 -0.0744045 2.8033094 0.0317211 0.0012356 0.1145146 0.1038102 0.1041128 0.0587341 74.6824516 15.6905569 2.1197438 1.1285520 1.5031484 -0.9533161 3.0854081 0.7890726 -0.2111181 -0.0678566 2.7978511 0.0304248 0.0012977 0.1119821 0.1015797 0.1018134 0.0611882 77.8029180 15.7836115 2.1088247 1.1321670 1.4984162 -0.9535564 3.0652793 0.7680080 -0.2108689 -0.0620052 2.7924751 0.0292385 0.0013615 0.1095505 0.0994607 0.0996497 0.0636913 80.9857541 15.8749161 2.0987240 1.1353477 1.4936790 -0.9536647 3.0453228 0.7472143 -0.2102582 -0.0568241 2.7872845 0.0281539 0.0014270 0.1072139 0.0974454 0.0976104 0.0662434 84.2308402 15.9646320 2.0893559 1.1381439 1.4889444 -0.9536575 3.0255758 0.7267860 -0.2093093 -0.0522987 2.7823731 0.0271560 0.0014940 0.1049680 0.0955259 0.0956753 0.0688444 87.5380539 16.0528915 2.0806437 1.1406039 1.4842027 -0.9535502 3.0060915 0.7068470 -0.2080489 -0.0484060 2.7777100 0.0262322 0.0015624 0.1028130 0.0936949 0.0938307 0.0714941 90.9072709 16.1398042 2.0725072 1.1427734 1.4794417 -0.9533551 2.9869612 0.6875138 -0.2065073 -0.0450800 2.7732520 0.0253728 0.0016319 0.1007519 0.0919464 0.0920744 0.0741925 94.3383642 16.2254628 2.0648685 1.1446941 1.4746581 -0.9530862 2.9682680 0.6687962 -0.2047096 -0.0422591 2.7689869 0.0245684 0.0017023 0.0987865 0.0902743 0.0904061 0.0769394 97.8312048 16.3099339 2.0576746 1.1464027 1.4698756 -0.9527546 2.9500741 0.6506853 -0.2026942 -0.0398647 2.7649588 0.0238094 0.0017736 0.0969083 0.0886732 0.0888085 0.0797349 101.3856610 16.3932765 2.0508690 1.1479308 1.4651341 -0.9523644 2.9324188 0.6331392 -0.2004964 -0.0378135 2.7613264 0.0230945 0.0018457 0.0951065 0.0871379 0.0872722 0.0825786 105.0015991 16.4755510 2.0443761 1.1493055 1.4604695 -0.9519149 2.9153093 0.6160777 -0.1981522 -0.0361187 2.7581833 0.0224210 0.0019186 0.0933812 0.0856639 0.0857999 0.0854706 108.6788829 16.5568205 2.0381452 1.1505477 1.4559041 -0.9514081 2.8987117 0.5993755 -0.1956880 -0.0348330 2.7553999 0.0217876 0.0019926 0.0917298 0.0842478 0.0843951 0.0884108 112.4173741 16.6371372 2.0321558 1.1516694 1.4514532 -0.9508467 2.8825746 0.5829383 -0.1931338 -0.0339383 2.7527727 0.0211866 0.0020678 0.0901508 0.0828859 0.0830465 0.0913989 116.2169317 16.7165408 2.0263873 1.1526768 1.4471354 -0.9502334 2.8668255 0.5668075 -0.1904924 -0.0333498 2.7502977 0.0206161 0.0021444 0.0886364 0.0815763 0.0817346 0.0944350 120.0774128 16.7950701 2.0207931 1.1535769 1.4429620 -0.9495661 2.8514237 0.5510915 -0.1877644 -0.0330373 2.7480536 0.0200736 0.0022223 0.0871868 0.0803175 0.0804637 0.0975189 123.9986720 16.8727657 2.0153333 1.1543798 1.4389207 -0.9488450 2.8363519 0.5359112 -0.1849569 -0.0329930 2.7459969 0.0195604 0.0023018 0.0858022 0.0791065 0.0792465 0.1006504 127.9805618 16.9496742 2.0099764 1.1550947 1.4350083 -0.9480667 2.8216309 0.5214287 -0.1821055 -0.0331410 2.7441246 0.0190745 0.0023829 0.0844682 0.0779408 0.0780810 0.1038296 132.0229321 17.0258420 2.0046847 1.1557296 1.4312334 -0.9472325 2.8072655 0.5077288 -0.1792469 -0.0333981 2.7424736 0.0186156 0.0024656 0.0831833 0.0768180 0.0769565 0.1070561 136.1256308 17.1013113 1.9994128 1.1562927 1.4276082 -0.9463426 2.7932434 0.4947634 -0.1764211 -0.0337521 2.7409985 0.0181790 0.0025502 0.0819517 0.0757352 0.0758719 0.1103300 140.2885035 17.1761140 1.9941363 1.1567908 1.4241576 -0.9454003 2.7795273 0.4824485 -0.1736431 -0.0342389 2.7396457 0.0177636 0.0026364 0.0807698 0.0746890 0.0748346 0.1136511 144.5113933 17.2502821 1.9888678 1.1572257 1.4208997 -0.9444075 2.7660491 0.4706940 -0.1709335 -0.0348831 2.7384231 0.0173666 0.0027244 0.0796261 0.0736779 0.0738356 0.1170193 148.7941413 17.3238329 1.9836604 1.1575969 1.4178187 -0.9433717 2.7527590 0.4594547 -0.1683099 -0.0356799 2.7373917 0.0169842 0.0028138 0.0785189 0.0727013 0.0728567 0.1204344 153.1365863 17.3967781 1.9785528 1.1579068 1.4148798 -0.9422926 2.7396576 0.4487363 -0.1657819 -0.0365886 2.7365200 0.0166154 0.0029049 0.0774505 0.0717577 0.0719044 0.1238964 157.5385648 17.4691353 1.9735678 1.1581599 1.4120600 -0.9411687 2.7267814 0.4384777 -0.1633414 -0.0376100 2.7357612 0.0162632 0.0029975 0.0764219 0.0708466 0.0709830 0.1274050 161.9999110 17.5409351 1.9687204 1.1583574 1.4093442 -0.9399963 2.7141393 0.4285276 -0.1609657 -0.0387563 2.7350298 0.0159276 0.0030918 0.0754444 0.0699662 0.0700889 0.1309602 166.5204570 17.6122062 1.9640060 1.1584938 1.4067653 -0.9387763 2.7017121 0.4187051 -0.1586252 -0.0400199 2.7343901 0.0156079 0.0031879 0.0745099 0.0691139 0.0692248 0.1345618 171.1000326 17.6829798 1.9593847 1.1585617 1.4043686 -0.9375068 2.6894481 0.4089276 -0.1563084 -0.0414146 2.7339120 0.0153035 0.0032858 0.0736108 0.0682878 0.0683929 0.1382097 175.7384653 17.7532815 1.9548142 1.1585557 1.4021686 -0.9361911 2.6773103 0.3992653 -0.1540310 -0.0429778 2.7334936 0.0150118 0.0033856 0.0727307 0.0674870 0.0675902 0.1419037 180.4355806 17.8231317 1.9502594 1.1584767 1.4001212 -0.9348289 2.6653049 0.3899314 -0.1518250 -0.0447188 2.7330753 0.0147328 0.0034872 0.0718631 0.0667117 0.0668063 0.1456438 185.1912015 17.8925595 1.9456752 1.1583322 1.3981284 -0.9334196 2.6534826 0.3811123 -0.1497250 -0.0465749 2.7326928 0.0144681 0.0035907 0.0710155 0.0659613 0.0660511 0.1494297 190.0051491 17.9615895 1.9410459 1.1581306 1.3961035 -0.9319692 2.6418594 0.3729612 -0.1477462 -0.0484563 2.7324049 0.0142125 0.0036961 0.0701889 0.0652336 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0.0025236 0.5163349 4.3697611 0.0000171 0.0510848 0.0004383 0.0001091 0.0003862 1.4810454 1883.2010572 25.9282723 0.0610971 0.0762087 0.0342927 -0.0000558 0.2586360 -0.0114173 0.0024535 0.4945147 4.1997285 0.0000168 0.0510811 0.0004243 0.0001019 0.0003751 1.4893817 1893.8010601 25.9284498 0.0599214 0.0748570 0.0334110 -0.0000536 0.2559909 -0.0110498 0.0023857 0.4754682 4.0678519 0.0000168 0.0510774 0.0004127 0.0000970 0.0003656 1.4977134 1904.3950615 25.9286275 0.0587821 0.0735598 0.0325661 -0.0000516 0.2534154 -0.0106975 0.0023202 0.4585610 3.9634398 0.0000166 0.0510738 0.0004028 0.0000937 0.0003575 1.5060400 1914.9826625 25.9288021 0.0576823 0.0723133 0.0317516 -0.0000497 0.2509042 -0.0103596 0.0022571 0.4432460 3.8772609 0.0000166 0.0510701 0.0003941 0.0000915 0.0003504 1.5143613 1925.5634645 25.9289766 0.0566135 0.0711140 0.0309687 -0.0000481 0.2484561 -0.0100351 0.0021962 0.4291459 3.8045960 0.0000163 0.0510665 0.0003863 0.0000899 0.0003440 1.5226769 1936.1370690 25.9291480 0.0555799 0.0699586 0.0302122 -0.0000465 0.2460667 -0.0097233 0.0021375 0.4161036 3.7426533 0.0000163 0.0510629 0.0003789 0.0000887 0.0003381 1.5309866 1946.7030781 25.9293193 0.0545738 0.0688443 0.0294837 -0.0000452 0.2437351 -0.0094235 0.0020810 0.4039702 3.6894627 0.0000160 0.0510593 0.0003719 0.0000877 0.0003326 1.5392900 1957.2610939 25.9294875 0.0535997 0.0677685 0.0287786 -0.0000439 0.2414577 -0.0091352 0.0020267 0.3926438 3.6433667 0.0000160 0.0510558 0.0003650 0.0000868 0.0003273 1.5475867 1967.8107188 25.9296558 0.0526501 0.0667291 0.0280987 -0.0000429 0.2392339 -0.0088576 0.0019743 0.3820522 3.6029443 0.0000158 0.0510522 0.0003583 0.0000859 0.0003222 1.5558766 1978.3515558 25.9298210 0.0517297 0.0657240 0.0274392 -0.0000418 0.2370604 -0.0085905 0.0019239 0.3721075 3.5668685 0.0000157 0.0510487 0.0003517 0.0000850 0.0003172 1.5641592 1988.8832080 25.9299864 0.0508312 0.0647516 0.0268025 -0.0000408 0.2349369 -0.0083330 0.0018753 0.3627710 3.5348138 0.0000155 0.0510451 0.0003452 0.0000842 0.0003123 1.5724343 1999.4052788 25.9301490 0.0499595 0.0638101 0.0261839 -0.0000398 0.2328606 -0.0080849 0.0018286 0.3539489 3.5058261 0.0000155 0.0510416 0.0003388 0.0000834 0.0003075 1.5807015 2009.9173721 25.9303116 0.0491075 0.0628983 0.0255858 -0.0000389 0.2308309 -0.0078457 0.0017835 0.3456283 3.4797315 0.0000153 0.0510382 0.0003325 0.0000825 0.0003028 1.5889606 2020.4190921 25.9304715 0.0482802 0.0620147 0.0250041 -0.0000380 0.2288456 -0.0076149 0.0017400 0.3377179 3.4554356 0.0000153 0.0510347 0.0003263 0.0000817 0.0002981 1.5972112 2030.9100435 25.9306315 0.0474707 0.0611581 0.0244411 -0.0000372 0.2269041 -0.0073922 0.0016980 0.3302296 3.4336030 0.0000151 0.0510313 0.0003201 0.0000808 0.0002935 1.6054531 2041.3898312 25.9307887 0.0466839 0.0603275 0.0238930 -0.0000364 0.2250043 -0.0071772 0.0016576 0.3230747 3.4129514 0.0000151 0.0510279 0.0003141 0.0000800 0.0002889 1.6136858 2051.8580607 25.9309461 0.0459135 0.0595218 0.0233622 -0.0000356 0.2231458 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