Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 252053
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
352 PM EST SUN FEB 25 2018


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID FEB 26/0000 UTC THRU MAR 01/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1

...LOWER MS VALLEY INTO THE SOUTHEAST...

A WAVE CONTINUES TO MOVE NORTHEAST ACROSS TX THIS MORNING...WITH
TX INTO THE LOWER MS VALLEY ALSO CONTINUING TO SEE UPPER LEVEL
DIVERGENCE IN THE RIGHT ENTRANCE REGION OF THE JET TO THE NORTH.
850 MB MOISTURE TRANSPORT HAS INCREASED AHEAD OF THIS WAVE...WITH
SHOWERS AND EMBEDDED THUNDERSTORMS FORMING ALONG THE NORTHERN
GRADIENT OF THIS MOISTURE TRANSPORT. THE MOST INTENSE OF THIS
CONVECTION HAS BEEN ON THE WESTERN EDGE OF THE ACTIVITY OVER TX
WHERE ELEVATED INSTABILITY IS HIGHEST. FROM FAR EASTERN TX INTO
CENTRAL/NORTHERN LA RAINFALL RATES HAVE BEEN LOWER DUE TO ONLY
MINIMAL ELEVATED INSTABILITY. HOWEVER DO HAVE AT LEAST SOME
ELEVATED INSTABILITY...SO POCKETS OF 1" AN HOUR WILL REMAIN
POSSIBLE...AND SOIL CONDITIONS ARE MORE SATURATED IN THIS
AREA...SO SOME FLOODING THREAT STILL EXISTS. AS WE HEAD INTO
TONIGHT THE BETTER SYNOPTIC FORCING LIFTS OFF TO THE NORTHEAST.
HOWEVER THE AREA OF MARGINAL MUCAPE STAYS SOUTH. SO THIS SEEMS TO
BE A SETUP WHERE THE MORE INTENSE RAINFALL STAYS SOUTH CLOSER TO
THE MUCAPE AND MOISTURE TRANSPORT GRADIENT...WHERE AS FURTHER
NORTH AND EAST WE SEE MORE OF A BROAD ARE OF LIGHT RAINS SPREADING
NORTHEASTWARD WITH TIME.

OFTEN IN THESE CASES THE GLOBAL GUIDANCE ARE TOO FAR NORTH WITH
THE HEAVIEST RAINFALL AXIS...WHILE AT TIMES THE HIGH RES MAY TEND
TO BE TOO LIGHT ON THE NORTHERN EDGE OF THE RAINFALL SHIELD. THUS
MAKES SENSE THAT THE NEW 12Z HIGH RES GUIDANCE HAVE TRENDED
TOWARDS MOVING THE NORTHERN EDGE OF THE RAIN SHIELD NORTH. THUS
WHILE THE HEAVIEST TOTALS SHOULD STILL BE SOUTH...WE DID EXPAND
THE LIGHTER TO MODERATE AMOUNTS NORTHWARD. OVERALL THOUGHT MOST OF
THE 12Z HIGH RES MODELS SEEMED TO DEPICT REASONABLE EVOLUTION
THROUGH THE DAY 1 PERIOD. THUS WPC QPF FOLLOWS CLOSE TO A HIGH RES
BLEND...WITH ONLY A SMALL COMPONENT OF THE ECMWF/UKMET BLENDED IN.
THIS RESULTS IN A SWATH OF ROUGHLY 1-2.5" FROM FAR SOUTHEAST TX
NORTHEAST INTO PORTIONS OF CENTRAL/NORTHERN LA AND MUCH OF
SOUTHERN/CENTRAL MS INTO WESTERN AL. OVERALL RATES ARE NOT
EXPECTED TO BE ALL THAT IMPRESSIVE...ALTHOUGH COULD SEE SOME
LOCALIZED 1-2" AN HOUR TOTALS ON THE SOUTHERN EDGE OF THE RAIN
SHIELD INTO THIS EVENING ACROSS LA/MS WHERE MUCAPE IS SLIGHTLY
HIGHER.


...PACIFIC NORTHWEST INTO THE NORTHERN ROCKIES...

DAYS 2/3...


...SOUTHERN PLAINS AND LOWER/MID-MS VALLEY...

A STATIONARY FRONTAL BOUNDARY IN THE NORTHERN GULF AT THE
BEGINNING OF DAY WILL BEGIN LIFTING NORTHWARD ACROSS THE LOWER MS
VALLEY DURING THE DAY AS AN UPPER TROUGH AMPLIFIES OVER THE FOUR
CORNERS REGION AND SURFACE CYCLOGENESIS COMMENCES ACROSS THE
SOUTHERN HIGH PLAINS.

SHOWERS AND THUNDERSTORMS ARE EXPECTED TO DEVELOP ALONG THE WARM
FRONT TUE AFTERNOON, AS 30-40 KT SOUTHWESTERLY FLOW DEVELOPS FROM
EASTERN TX AND LA, ONCE AGAIN TRANSPORTING A MOIST (PWATS > 1.50
INCHES) AND MODESTLY UNSTABLE AIR MASS NORTHWARD AND LIFTING IT
ACROSS THE WARM FRONT.

THE GFS SHOWS MOISTURE FLUX CONVERGENCE MAXIMIZING BETWEEN 00Z-12Z
WED IN AN AREA FROM SERN AR/NRN MS TO NRN AL/SRN TN. UPPER-LEVEL
DYNAMICS PROVIDE SOME SUPPORT, WITH THE AREA IN THE RIGHT ENTRANCE
REGION OF A 130 KT 250 HPA JET STREAK CROSSING THE OH VALLEY
DURING THE TIME PERIOD OF CONCERN. QPF AMOUNTS EXCEEDING 1 INCH
ARE SHOWN ACROSS PORTIONS OF THE DESCRIBED AREA ON DAY 3 WITH
ISOLATED MAXIMA OF 2 OR MORE INCHES ACROSS PARTS OF AR/MS.

QUESTIONS REVOLVING AROUND RAINFALL RATES AS WELL AS DURATION
LINGER IN THE 25/12Z MODEL CYCLE.  HOWEVER...THE ECMWF MADE A
CLEAR MOVE TOWARDS THE GFS SOLN OVER THIS PART OF THE COUNTY.  AS
A RESULT...TOOK ADVANTAGE OF THE DERIVED FIELDS FROM THE GFS TO
HELP REFINE THE PLACEMENT OF THE PCPN AXIS. ADDITIONAL CHANGES ARE
LIKELY AS MODELS CONTINUE TO RESOLVE THE SHORTWAVE DROPPING SOUTH
OVER THE WESTERN U.S. AND ITS DOWNSTREAM IMPLICATIONS.

ONLY MADE A SMALL ADJUSTMENTS TO THE DAY 3 EXCESSIVE RAINFALL
OUTLOOK.  REALIGNED THE SLIGHT RISK TO BETTER FIT THE 12Z RUNS AND
EXPANDED THE MARGINAL RISK NORTHWARD TOWARDS AREAS ALREADY
SATURATED BY THE RAINFALL LATE LAST WEEK AND ON SATURDAY.

WPC QPF WAS GENERALLY BASED ON A BLEND OF THE ECMWF/GFS AND
IN-HOUSE BIAS CORRECTED ENSEMBLE GUIDANCE.


...WESTERN U.S...

AN UPPER-LEVEL TROUGH INITIALLY CENTERED ALONG THE PAC NW COAST AT
12Z MON IS FORECAST BY ALL GUIDANCE TO QUICKLY AMPLIFY AND FORM A
CUTOFF UPPER LOW ACROSS CA BY TUE MORNING, BEFORE THEN MOVING EAST
AND DIGGING ACROSS THE FOUR CORNERS REGION TUE NIGHT/WED MORNING.
WHILE THE MODELS STILL SHOW THAT LOW-LEVEL FLOW AHEAD OF THE
SYSTEM WILL NOT BE ORIENTED PARTICULARLY FAVORABLE WITH RESPECT TO
THE COASTLINE FOR TOPOGRAPHIC ENHANCEMENT...WE DID BUMP UP AMOUNTS
A BIT FROM THE OVERNIGHT FORECAST IN AND NEAR THE SOCAL MOUNTAINS
AT THE TIME OF DAY WHEN THE LAPSE RATES WILL BE GREATEST.
OVERALL...THOUGH...THE CHANGE DOES NOT REFLECT A FUNDAMENTAL SHIFT
IN THINKING.

ON DAY 3, AS THE SYSTEM REACHES THE SOUTHWESTERN U.S., PRECIP IS
EXPECTED TO FOCUS ACROSS THE MOGOLLON RIM AND PARTS OF THE
SOUTHERN UINTA/SAN JUAN RANGES.

ADDITIONAL PRECIP IS EXPECTED TO DROP INTO THE NORTHWEST ON DAY 3
AS AN AREA OF LOW PRESSURE DROPS SOUTHEAST FROM THE GULF OF
ALASKA/EASTERN NORTH PACIFIC OCEAN.  NOTICED THAT THE 12Z GUIDANCE
TENDED TO BE A BIT SLOWER THAN IT WAS IN BRINGING THE
PRECIPITATION INTO THE REGION WHEN COMPARED WITH THE 25/00Z AND
25/06Z GUIDANCE.  THIS TENDED TO FAVOR A COMPROMISE VALUE OF THE
ECMWF/GFS/UKMET AND TEMPERED A BIT BY THE WPC IN HOUSE PSEUDO BIAS
CORRECTED ENSEMBLE QPF.


CHENARD/BANN

GRAPHICS AVAILABLE ON THE WEB AT
WWW.WPC.NCEP.NOAA.GOV/QPF/QPF2.SHTML




THIS DISCUSSION WILL TRANSITION TO MIXED-CASE FEB 26, 2018.  THE
LISTING OF ISOHYET POINTS CONTAINED BELOW WILL ALSO BE ELIMINATED
FROM THE PRODUCT FEB 26, 2018.  ISOHYET GRID INFORMATION WILL
CONTINUE TO BE GENERATED IN A VARIETY OF BINARY FORMATS AND MADE
AVAILABLE THROUGH THE WPC GIS PAGE.

24HR QP VT 27/00Z
 0.01 522264 514264 514260 516256 515249 513238 510228 505218
      498209 491204 484201 478202 474204 466209 461207 459205
      458202 457196 459191 466184 472175 475171 478169 482169
      487170 490173 495171 498169 500163 499159 496154 496141
      494134 492129 489119 488124 487127 485126 477122 470100
      461097 455090 452077 450073 447070 443067 440069 440072
      443075 446078 449083 449086 447087 443088 435090 431088
      430084 426084 423081 423090 423097 421101 416107 411107
      407103 404104 403110 403116 406119 412125 415132 415136
      410137 406139 402141 403144 401148 397150 393153 391158
      389165 388170 383179 382185 379190 371184 365184 361185
      354191 350197 344206 346211 348215 350219 351223 349226
      345234 344238 342239 344243 352249 356248 361250 372252
      377254 381257 393261 398262 403262 408263 412262 421262
      430260 446258 455256 461257 466258 478261 487265 498282
      502287 504289 507284 508288 508297 506308
 0.01 486614 495624 502634 509650 515667 520685 525700 530719
      532728 533739 536748 537760 538771 536779 531793 524807
      517819 513825 509828 506831 502832 496832 490828 485827
      481833 478841 482847 485851 487854 486856 482860 475848
      471846 468846 466835 467828 468823 472816 478813 482807
      483799 484796 483792 482786 480782 479773 476765 475761
      473758 469751 461743 460732 460726 460723 460713 462707
      466700 466695 463691 460692 456695 453699 456713 451716
      448714 437708 434703 431697 429686 423683 417684 411683
      406682 400679 394676 388672 387666 385662 386658 385654
      386647
 0.01 501251 500246 498242 496240 496236 492228 488226 484226
      482227 479224 477222 473221 471223 470228 472230 475229
      479230 480234 483236 486235 488237 490241 494248 496252
      500253 501251
 0.01 518910 518905 517902 516895 511882 506880 503880 501883
      499888 499893 498896 498904 500908 500914 504929 507944
      509952 512957 514957 514955 515952 516947 517939 517929
      517918 517913 518910
 0.01 389758 389753 388749 388744 388739 387735 386733 385735
      385738 384740 382745 383747 382752 382754 382757 384761
      386761 388760 389758
 0.01 380741 378736 377728 373717 364712 359709 351715 344723
      334739 330748 326759 321778 318791 313799 302814 300808
      296807 290807 286810 283810 279808 275807 273804 274802
      277799 276794 269795 264797 260799 259802 257804 254805
      250803 246801 243802 241804 241810 242815 246816 247814
      250811 252811 256814 261815 264819 274820 279821 284820
      290818 293815 297815 302814 301828 296836 295841 296845
      295851 293856 289865 286868 287873 284881 281891 278902
      274911 269919 252954 248965 246969 245976 245990 249997
      256997 260995 264993 268989 268985 270981 275976 278972
      284970 290970 296968 310958 317952 323945 329937 334930
      344910 348901 349897 353893 358888 360883 360876 367852
      370842 373829 377807 381796 382789 382783 380771 379759
      380741
 0.01 374952 374943 373940 370940 370947 366953 361954 358956
      356956 352954 348958 344960 341965 337969 335975 336978
      337980 339978 343974 350979 353983 359981 366973 371961
      374952
 0.25 472619 479627 482632 484638 485646 482651 478654 474654
      464654 458655 452657 447658 442658 431658 421660 417657
      414651 414644 419640 424636
 0.25 479216 480213 479211 477211 476211 475212 473214 475216
      477216 478216 479216
 0.25 464239 465236 463234 458232 451232 445234 443234 442231
      444228 451224 455221 455218 450216 447215 442213 441210
      438208 432212 424198 421195 417197 412201 407206 405205
      402202 399199 394199 386197 379194 377195 376200 376205
      377209 384213 391216 397217 411223 410226 407229 403230
      399228 395228 392229 390232 388236 400244 407249 414250
      421249 427247 440243 446241 450240 454241 460241 464239
 0.25 471158 472153 471149 468145 460137 458135 457132 453135
      450139 446142 444143 441142 440140 440135 440131 442128
      446126 448119 452114 452108 454103 454098 452095 448094
      438096 434096 433094 429090 424088 425094 429099 429104
      424106 422108 422112 418116 420122 424133 428145 429150
      432155 440163 445165 451166 459159 465160 470159 471158
 0.25 461180 461178 461177 459176 458177 457177 456179 455181
      455182 457183 458182 459182 461181 461180
 0.25 453176 453174 453172 452171 451170 451171 450173 451175
      452176 453176
 0.25 449187 450185 450183 448183 447184 446185 445186 446189
      447189 449187 449187
 0.25 431169 430166 428163 426162 425160 422157 420155 416156
      416158 416162 419163 421164 424167 425169 429170 431169
 0.25 369784 368775 363769 360765 352764 348766 346772 339777
      335782 328794 324806 322808 320810 321812 319819 315824
      310828 307834 303847 300856 297862 295869 295876 291892
      290899 287905 281918 275929 268941 262953 255964 254972
      251978 249985 250989 254989 259985 263980 266974 268966
      274954 287931 290926 296924 299931 305933 307935 305938
      307943 309943 317934 326924 335915 341902 346889 350874
      355861 359845 363830 365823 365813 367797 369784
 0.50 442222 443218 441216 437216 432218 426217 422219 419223
      419228 415229 410230 406232 402235 403239 405244 409244
      420244 424242 426239 426235 429231 433229 441223 442222
 0.50 445157 445155 445152 445151 443149 442148 440147 438147
      437147 435148 434150 433152 434155 436156 437158 439159
      440159 442159 444158 445157
 0.50 448111 447108 446105 444102 443100 440101 438103 435105
      434107 433111 436114 438115 440117 443119 445118 447114
      448111
 0.50 407217 406217 405216 404217 405217 406217 407217
 0.50 402214 402211 401208 399206 396203 394202 391200 387200
      384200 382202 383205 384208 388210 389212 393213 396215
      398215 400216 402214
 0.50 355788 356786 356784 354782 352783 352784 351785 350787
      349789 351791 353791 354790 355789 355788
 0.50 357826 357822 354820 350821 346831 344836 338838 332835
      331828 332826 332822 329822 327824 327827 325828 311837
      305848 301858 299864 299870 301876 299882 294893 290905
      285915 280925 269944 265954 259964 256970 255976 258979
      262975 265965 271954 281934 293916 299912 301911 302914
      308923 310927 311934 315932 318928 326919 332911 337900
      341888 345877 348864 354839 357826
 0.50 332802 333800 333798 332797 332798 330798 330800 330803
      329804 329805 329807 329809 331808 332807 332804 332802
      332802
 1.00 444111 444110 442110 442111 443111 444111
 1.00 427223 427222 425222 424222 423222 423223 425223 427223
      427223
 1.00 420238 419237 418236 416235 414235 412235 412238 413240
      415240 417240 419240 419239 420238
 1.00 337871 337861 335858 331858 326858 324860 319864 317863
      315858 312850 309856 308860 307865 306873 303880 301888
      299897 301900 304902 308909 315910 321914 324912 326909
      329902 331895 333892 334887 337871
 1.00 315849 315847 314847 313850 314851 315849
 1.50 317894 317890 316888 314886 312886 309887 305888 304890
      303893 305895 307895 309898 309901 311904 313902 315899
      316896 317894

24HR QP VT 28/00Z
 0.01 500319 480316 472313 465309 460306 457303 454300 450294
      445289 443284 444279 437245 443238 446235 447233 447229
      442224 443220 447218 476205 484202 488200 489197 488193
      484186 480178 472172 467165 466161 466154 467149 471145
      474134 477129 478126 480126 485127 487130 492136 499158
      503160 508159 514157 519158 522162 521165 523166 526166
      534184 543195
 0.01 531235 527231 524227 521221 517214 515212 514213 509215
      507219 508224 509230 513236 516240 518247 522251 525253
 0.01 505759 504743 501737 499731 498716 497709 494703 491700
      487698 484698 482700 479705 478711 479719 481725 482733
      484748 487754 490757 494761 497763 502762 505759
 0.01 512911 512902 511895 508885 504875 501867 497863 494863
      487869 486872 487876 490889 493896 498904 504911 507914
      510913 512911
 0.01 481226 481225 479224 477224 476225 477227 478228 480227
      481226
 0.01 459111 457096 455083 454077 452073 447068 445066 442066
      439068 441074 446080 449084 450087 449090 443091 438091
      424089 426094 429099 430102 428103 422105 418106 415102
      413099 412096 409098 406101 404105 399104 397106 396110
      391114 392117 397118 400120 400125 396129 388134 382138
      375145 372147 374152 378155 377158 375159 369160 364157
      362157 366161 368166 371178 367180 365179 361178 356180
      352180 349176 346167 342162 337159 326156 324151 327148
      333145 337142 340141 343140 346142 349144 355145 358146
      362143 363139 366135 366128 363123 359119 354116 349113
      342112 332114 318123 303133 298132 292135 289138 285143
      283147 282151 282154 287154 291152 295150 298150 297153
      294156 293159 298165 300170 299177 300182 303183 306181
      314178 325176 335180 340186 342190 343195 348204 351208
      355210 358212 365212 371213 375209 377208 381209 384210
      389213 392212 398214 401212 400205 399200 396190 396184
      398180 400178 401174 403167 406162 409158 414156 417156
      418152 418149 418140 423132 426127 429123 431118 436117
      442123 446123 449122 455120 456113 459111
 0.01 451889 451877 449873 447872 442877 438883 435890 434899
      431909 431916 438916 443911 447904 449894 451889
 0.01 382972 381964 377958 375954 370949 356932 348921 342910
      340906 337902 326897 320894 318892 315891 311892 309890
      302887 298884 294880 290879 284879 281885 281894 282900
      286908 290911 293915 293922 295929 299941 302949 302953
      299956 296958 292962 288966 283962 280956 274954 268954
      266956 266959 268964 272968 275972 272974 268974 263978
      257979 253980 252982 248986 240992 240995 242000 255004
      267005 271007 274007 276006 283005 289004 299998 304993
      307992 311994 319999 327006 335006 340004 346000 350996
      351993 351989 352982 354979 355981 362981 371981 377979
      382972
 0.01 360725 360718 358714 354714 351718 344730 332743 328750
      328742 326731 322728 318727 315729 313732 309738 304744
      299751 295757 292765 285780 280794 281802 279807 280811
      288813 292813 295814 298818 301821 305816 307808 310812
      310816 312820 316822 319821 322817 329805 336798 340791
      344785 347778 351770 353766 354760 355753 356743 359732
      360725
 0.01 312150 312148 311146 309145 307145 305145 304146 303146
      302146 300148 298149 299151 301151 303151 305151 307150
      308151 310150 312150
 0.25 522261 516257 514252 509241 503230 499219 495214 491211
      486210 481210 475212 472216 474218 480219 486221 489223
      491226 493231 496236 502246 503254 501260 499261 498258
      495253 490243 486242 485246 487252 493261 497265 494270
      491274 487277 483281 482286 483290 486292 491293 502295
      511294
 0.25 479244 480241 479238 477237 475237 474239 475241 475242
      476243 478244 479244
 0.25 398159 398157 397155 395154 393155 392156 391157 390158
      389159 389160 387161 387162 386164 386166 386168 388169
      389169 390168 392167 393165 394164 394163 396161 398159
 0.25 349196 350191 349186 345181 344173 342169 339166 332163
      324161 323165 326167 333171 340174 342182 345184 344189
      347196 349196
 0.25 346752 346745 343744 341745 338748 336751 334756 333761
      332765 333770 336768 339764 341761 344757 346754 346752
 0.25 345958 346953 345949 344943 341936 339932 332923 327919
      321919 317922 314928 314934 315941 312948 312952 317964
      317969 319969 323964 334965 340964 344960 345958
 0.25 313760 313755 312754 310754 309756 308758 306761 305765
      306769 306774 310774 310771 311769 312764 313762 313760
 0.50 522267 520266 518266 518265 517265 515263 514262 513261
      511261 509262 508264 507266 507269 506271 506274 505276
      506279 506280 508281 509282 511282 513282 514283 515283
      516283
 0.50 496229 497226 496223 495220 495219 493219 492219 492222
      493224 493225 494227 494228 495230 496229
 0.50 349192 349190 347189 347190 348192 348193 349192
 0.50 338170 337168 337167 336167 334166 332166 331166 332168
      333169 335169 337170 338170
 0.50 336952 336947 334943 331939 328936 325933 320935 319939
      320943 322947 325951 328953 332954 336953 336952

24HR QP VT 01/00Z
 0.01 522267 522256 521244 518225 517217 513209 514206 516209
      522212 531214 536212 535201 533194 526179 517168 513162
      505158 499152 495146 491138 488133 476126 473126 469127
      469133 467136 465136 460136 458138 456140 455144 451150
      448152 443151 448163 450185 453187 456187 460183 462181
      460177 457175 455172 456167 459165 462165 464167 467170
      471171 476172 480175 487186 482186 480187 476192 472198
      467201 451202 444203 438206 425210 415215 409218 401221
      396225 392232 391239 392242 395249 398255 403261 413272
      418274 421273 428272 440268 452266 455265 459267 462269
      465272 470279 474285 478291 483298 493308 499311 502315
 0.01 521721 518709 514704 503696 490692 486690 486685 488676
      486663 483660 480659 466659 462659 458657 456658 454661
      455668 454671 455683 455688 455695 456701 455705 454710
      451713 446717 444722 444727 445734 444737 441747 442752
      444754 451757 454758 455754 455749 457746 461743 463745
      468744 472746 475745 478742 480733 481729 480724 483723
      486725 491731 499745 504751 509751 511748 514746 516742
      518740 519734 521721
 0.01 459812 459805 455802 451804 448809 445812 442816 438825
      434835 431845 429857 430869 431873 430876 428880 425890
      422897 422902 424907 426910 427912 430912 433909 436899
      436895 438892 439887 444878 452860 457850 459839 459831
      458825 457821 458818 459813 459812
 0.01 421952 420940 419932 417929 411924 404921 398914 396910
      398906 399897 399885 398872 395861 391852 392843 395839
      396835 399826 403809 404799 405793 405786 406778 402776
      399777 394782 391792 390796 386799 377800 372801 368800
      366794 362791 359789 354790 351789 350792 347799 345801
      340801 334800 329805 323812 322817 322824 323830 322834
      320843 318851 316862 317873 315881 305895 299902 297909
      301914 308918 312925 310932 310943 311955 309965 305971
      295985 292992 287995 277010 276014 278017 281020 284021
      288023 292021 298017 307007 313007 316006 324001 328995
      331991 334990 348982 359974 362969 366968 370970 376970
      388979 398979 404975 414966 421952
 0.01 412071 407063 405065 403063 401060 397055 399050 399045
      396043 383042 377042 373043 370046 368050 364059 365064
      360065 355066 352069 349074 345075 340069 319070 315078
      311080 305080 293080 287080 284082 283088 284093 288096
      292097 295101 297105 302108 304112 303117 302123 307130
      311132 315132 323129 327128 334128 340133 346135 349136
      350139 352142 354143 362137 365139 367137 369132 367128
      365118 367114 370110 377105 382096 388089 394082 397078
      401076 403072 406072 412071
 0.01 394062 395059 393057 391057 390057 388059 386059 384059
      382059 380060 379062 379065 380066 381067 382068 383069
      385069 387069 388068 389067 391066 391064 393063 394062
 0.01 343177 341170 334167 329164 320160 317159 314160 313161
      314163 321167 330169 333171 335174 338176 338173 340173
      341177 343177
 0.01 302808 300804 298802 294800 290798 286797 281796 279796
      279801 283803 287806 291807 295809 298809 302808
 0.25 514285 516278 516271 516259 515253 513248 510241 506231
      503221 502217 498214 491209 485204 481204 478205 472211
      466214 450218 443220 437223 431232 428235 425235 418230
      410226 405224 401226 397229 397231 400236 405237 408239
      409244 414252 420257 436258 452256 459256 467256 474263
      477266 479271 486287 491296 497302 500303 503302 509296
      512290 514285
 0.25 479162 478160 477159 475158 474156 473156 472155 470154
      469155 468157 469160 470161 471163 472163 473163 474164
      475164 476163 478163 479162
 0.25 392943 391936 386931 377933 372935 369936 365925 360912
      360908 362903 364896 365888 365876 366873 369873 372879
      378887 383890 388887 389881 387877 381866 380862 381855
      381850 379843 378837 378832 377826 374819 370815 366815
      359816 354814 350812 344812 341812 335816 332821 331826
      329838 328850 326879 323904 320917 319932 317944 317958
      317966 319972 324975 328975 334975 338973 346968 351965
      355961 359958 361954 364947 367944 373950 377952 381950
      385948 390945 392943
 0.25 355120 350114 345109 343102 341098 338097 333101 331104
      328105 322108 323112 326111 331110 335112 342115 347120
      353122 355120
 0.50 510286 511279 510272 509265 508260 503249 497240 493237
      487235 478233 457233 446232 442232 437235 431244 435244
      438248 444250 448250 458250 468250 472251 476253 481258
      482263 487273 493283 495288 499292 504294 507292 510286
 0.50 495223 495218 492214 488211 484209 481208 477210 474214
      475219 479221 483222 488223 493223 495223
 0.50 360852 359844 356837 351826 346821 339823 336829 335835
      334843 333852 332867 329898 324928 323945 322953 323960
      326962 330963 335961 345956 354947 357941 358934 356917
      357901 359883 359865 360852
 1.00 502278 501272 500264 498256 496251 491245 487244 485244
      483247 486254 488259 490265 494271 497276 500279 502278
 1.00 355868 356860 355854 352845 346839 342840 340845 338856
      337867 336878 335889 332911 330921 329932 329939 330945
      332948 337947 342947 345944 349936 352914 353903 354890
      355868
 1.50 352864 350856 349852 347850 345852 345857 344864 341871
      340880 339888 338895 335911 334920 333928 337933 342934
      346929 348921 350906 351895 350886 349876 351868 352864
 2.00 348901 347898 345895 344894 342897 341899 341904 340906
      339910 338913 338917 339919 341919 342916 344912 345910
      346908 347903 348901

$$





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