000
FXUS04 KWBC 160750
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
350 AM EDT THU MAY 16 2013


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 16/1200 UTC THRU MAY 19/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...
EARLY THURSDAY INTO EARLY FRIDAY...

...SHRTWV TROF LIFTING ACROSS THE NORTHEASTERN PORTION OF NATION...

THE AXIS OF HIGHER PW`S AHEAD OF THE PROGRESSIVE UPPER LEVEL
SHORTWAVE AND ASSOCIATED SFC OCCLUDED FRONT WILL BE RATHER
SHORT-LIVED...AS WILL THE AREA OF LFQ UPPER JET-INDUCED
WAA/ISENTROPIC LIFT. ADDITIONAL QPF OVER THIS REGION WILL AVERAGE
UP TO A TENTH OF AN INCH...AND MAINLY CONFINED OVER ERN-NERN MAINE.


...CONCERNING THE BROAD UPPER TROF ADVANCING INTO THE WESTERN
U.S...

THIS SYSTEM AND SHRTWV ENERGY BEING EJECTED FM IT WILL FIRE AREAS
OF SHWRS FM THE PAC NW/NRN CA EWD ACROSS THE NRN GREAT BASIN INTO
THE NRN ROCKIES DURING THE PD.  MODEL QPFS MAXIMIZE PCP0N INVOF
WRN AND SRN OR AS WELL AS NRN CA...BUT AMTS THERE WILL REMAIN ON
THE LGT SIDE GIVEN THE LACK OF MOISTURE WITH LIMITED LOW LEVEL
ONSHORE FLOW. AT THE SAME TIME...PW`S BETWEEN .75" AND 1.0"
ENTERING NRN CA PER CURRENT GPS AND BLENDED TPW ANALYSIS AVERAGES
BETWEEN 2 AND 3 STD DEVS ABOVE NORMAL FOR MID MAY...THUS EVEN
AREAL-AVG AMOUNTS ON THE ORDER OF A TENTH TO QUARTER INCH INTO NRN
CA (HIGHEST OVER THE ELEVATED TERRAIN) IS A BIT OF AN ANOMALY.
OTHERWISE...LIGHT AMOUNTS (AGAIN AVERAGING BETWEEN A TENTH AND
QUARTER INCH TOPS) WILL SPREAD ACROSS THE NRN INTER-MOUNTAIN
REGION AND INTO THE NRN ROCKIES...WHERE SCATTERED TO OCCASIONALLY
NUMEROUS SHOWERS WILL BECOME FAVORED IN THE INCREASINGLY UPPER
DIFLUENT FLOW...ANOMALOUS PW`S (AROUND 2 STD DEVS ABOVE
NORMAL)...AND STEEPENING LOW-MID LEVEL LAPSE RATES.


...NRN HI PLAINS INTO THE LWR MO RIV VLY...

MODELS GENERATE WEAK HGT FALLS ACROSS THIS REGION FM THE COMBO OF
THE VORT BEING EJECTED ENEWD FM THE THE S CNTRL GREAT BASIN AND
PIECES OF ENERGY EMBEDDED IN THE NRN STREAM.  MODEL QPFS IN GNRL
SUPPORT WIDESPREAD SHWRS ACROSS THIS AREA...PARTICULARLY THIS AFTN
AND OVERNIGHT...AND ARE BEGINNING TO COME IN BETTER ALIGNMENT IN
TERMS OF WHERE THE HEAVIER QPF WILL BE FAVORED. BROADLY FAVORABLE
RRQ REGION UPPER JET DYNAMICS AND ASSOCIATED LOW-MID LAYER
FRONTOGENESIS SUPPORTS AN AXIS OF HIGHER QPF WITHIN AN ELONGATED
PW AXIS (AROUND 1 TO 1.25") FROM THE DAKOTAS INTO NEBRASKA...NW
IOWA...AND SRN MINNESOTA. A MULTI-MODEL BLEND...INCLUDING AN
ENSEMBLE OF HIGHER-RES RUNS...SUPPORT AN AXIS OF HEAVIEST QPF NEAR
THE BORDERS OF NE/IA/SD/MN...ALIGNING ALONG THE AXIS OF HIGHEST
PW`S AND 850 MB INFLOW (THETA-E ADVECTION AND MSTR FLUX). AREAL
AVG AMOUNTS ABOVE AN INCH ARE ANTICIPATED IN A RELATIVELY NARROW
RIBBON.


...SRN PLAINS/LWR MS VLY...

MODEL FCSTS OF AMPLE MOIST AND UNSTABLE AIR ACROSS THE REGION WITH
A CONTINUING NWD MSTR FLUX NOTED IS SUGGESTIVE OF HVY SHWRS ACROSS
THIS AREA WHICH WILL BE TRIGGERED BY THE ADVANCE OF THE SRN STREAM
UPPER LO/TROF ACROSS THE REGION.  MODELS ARE IN THE SAME BALLPARK
WITH THE SGFNT QPF BUT THERE IS LOT OF VARIATION WITH TIMING AND
PLACEMENT IN DETAILS OVR THE SHORT TIME FRAME...DUE IN LARGE PART
TO THE ONGOING MCS AND THE EVENTUAL MCV THAT WILL RESULT FROM IT.
BEYOND THE NEAR TERM (I.E. AFTER 12Z THU)...EXTRAPOLATION OF THE
MESO-ENHANCED VORT CENTER TRACK WOULD SUPPORT THE HIGHEST
AREAL-AVG AMOUNTS ACROSS ARKANSAS AS SUPPORTED BY MANY OF THE
HIGH-RES WINDOWS. HOWEVER...WHILE THE MODELS ARE SOMEWHAT BETTER
CLUSTERED COMPARED TO THE LAST RUN...THERE REMAINS QUITE BIT OF
VARIABILITY IN TERMS OF LOCATIONS AND AMOUNTS...AS TO BE EXPECTED
GIVEN THE CONVECTIVE NATURE OF THE PCPN AND LIKELIHOOD OF
DEVELOPING COLD POOLS AND ENSUING LOW LEVEL STABILIZATION.


DAYS 2-3...
EARLY FRIDAY INTO EARLY SUNDAY...


...INTERMOUNTAIN WEST/MONTANA...

WIDESPREAD LIGHT TO MODERATE OROGRAPHICALLY-FOCUSED PRECIPITATION
IS EXPECTED THIS PERIOD DUE TO A COMBINATION OF LOW-LEVEL ONSHORE
FLOW FROM THE PACIFIC AND COOLING ALOFT AS A WELL-DEFINED MID- TO
UPPER- LEVEL TROUGH AMPLIFIES OVER THE WESTERN U.S. THROUGH THE
PERIOD, EVENTUALLY BECOMING NEGATIVELY-TILTED SUNDAY INTO SUNDAY
NIGHT.  A LOW-LEVEL CYCLONE WILL HELP FOCUS PRECIPITATION ACROSS
THE NORTHERN CONTINENTAL DIVIDE AND MONTANA LATE SATURDAY INTO
SUNDAY.  USED A COMPROMISE OF THE LATEST MODEL GUIDANCE AND
CONTINUITY FOR PRECIPITATION AMOUNTS AND COVERAGE.


...NORTHERN PLAINS/UPPER MIDWEST/UPPER MS VALLEY...

AS AN UPPER LEVEL TROUGH BECOMES NEGATIVELY-TILTED ACROSS THE
WEST, PRECIPITATION SHIFTS NORTHWEST WITH TIME ACROSS MINNESOTA
INTO THE NORTHERN PLAINS TOWARDS SOUTH-CENTRAL CANADA.
PRECIPITABLE WATER (PW) VALUES RISE PAST 1.50 INCHES SATURDAY
NIGHT INTO EARLY SUNDAY.  WITH THIS MUCH MOISTURE, THE SURFACE
WARM FRONT SHOULD BE THE FOCUS FOR CONVECTION DURING THE DAY WHILE
THE 850 HPA FRONTAL BOUNDARY BECOMES THE FOCUS OVERNIGHT.  WENT ON
THE SOUTHERN SIDE OF THE GUIDANCE ACROSS MINNESOTA FRIDAY
AFTERNOON AND EVENING USING THE SURFACE-BASED FRONTOGENESIS AS A
GUIDE.  A COMPROMISE OF THE AVAILABLE GUIDANCE WAS USED SATURDAY
INTO EARLY SUNDAY.  ALTHOUGH THE 00Z GFS WAS DEEMED A LITTLE DEEP
ALOFT, USED ITS CIN VALUES TO HELP DELIMIT THE SOUTHERN EXTENT OF
MODERATE TO HEAVY PRECIPITATION ASSOCIATED WITH CONVECTION.
PRECIPITATION COULD BE HEAVY ENOUGH IN A SHORT TIME FRAME TO
EXCEED THE RELATIVELY LOW FLASH FLOOD GUIDANCE VALUES NEAR THE
MINNESOTA/NORTH DAKOTA BORDER, SO DREW IN A SLIGHT RISK OF
EXCESSIVE RAINFALL FOR THE REGION COVERING SATURDAY THROUGH
SATURDAY NIGHT.  LOCAL AMOUNTS OF 2-4 INCHES ARE POSSIBLE WHERE
CELLS TRAIN.


...MID-SOUTH/SOUTHEAST/MID-ATLANTIC STATES...

CONVECTION/THUNDERSTORM ACTIVITY IS EXPECTED TO FORM ALONG A WARM
FRONT AND NEAR A CORRESPONDING SURFACE LOW THIS PERIOD DURING THE
AFTERNOON BEFORE PROPAGATING AT A MODEST PACE TO THE SOUTH EACH
NIGHT INTO AN AREA WITH VERY GOOD DIVERGENCE ALOFT, WHICH SHIFTS
FROM THE MID-SOUTH FRIDAY/FRIDAY NIGHT INTO THE SOUTHERN
APPALACHIANS SATURDAY/SATURDAY NIGHT AHEAD OF A WEAKENING
SHORTWAVE.  DUE TO THE WEAKENING NATURE OF THE OVERALL SYSTEM,
DREW LESS AREAL AVERAGE PRECIPITATION ON DAY 3 THAN DAY 2.  LOCAL
AMOUNTS OF 2-4 INCHES ARE POSSIBLE WHERE CELLS TRAIN, WHICH LED TO
A SLIGHT RISK OF EXCESSIVE RAINFALL DURING THE FRIDAY/FRIDAY NIGHT
PERIOD ACROSS CENTRAL TENNESSEE WHERE FLASH FLOOD GUIDANCE VALUES
(FFGS) ARE NOT ESPECIALLY HIGH.


HURLEY/ROTH

GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV

24HR QP VT 17/12Z
 0.01 490671 486657 480644 478640 474639 467636 460636 455639
      451644 447649 446652 444661 445673 446684 449690 452691
      455697 455702 451711 452718 451722 450727 452732 457737
      476723 483717 486712 490707 492698 492685 490676 490671
 0.01 535216 537205 539194 538186 536180 533170 529164 527157
      525152 522146 520143 513140 508138 505134 498126 492124
      489119 486114 486109 487105 490092 494090 497086 495083
      492080 482080 479082 476079 472076 468078 461078 455077
      448071 445067 441067 436068 436072 440073 444077 446081
      448086 438087 436090 433091 430087 424088 425090 428094
      429098 428102 413112 409099 406098 405104 403109 403114
      406115 409115 411118 415119 418120 418124 415128 413132
      394137 390140 386145 383156 382160 384165 387172 390176
      396180 399184 399187 398191 396196 391195 383191 377190
      374187 370185 367186 368191 373195 375196 376199 379203
      386211 391219 393224 392226 390227 380225 376228 374235
      379244 399251 411255 415254 420255 426256 431257 437259
      440259 451260 456258 460259 465257 469258 475258 481260
      487262 491267 498276 503278 506276 506270 503263 497254
      493243 489238 488236 485236 481237 481231 480228 477229
      472229 472226 474222 480222 486223 489223 492224 494226
      496228 500233 503235 507235 504229 501216 498212 495208
      496204 499201 502201 508204 512208 516211 529215 535216
 0.01 508026 505008 502002 500995 494983 487974 479966 471956
      469951 466944 464937 463932 462931 459923 457917 453909
      450904 447900 444895 440892 435890 431887 428887 425885
      421883 418883 409876 405871 402862 399829 399816 396801
      396795 393787 388769 387762 386755 386743 385730 384722
      384717 382709 378706 375716 373722 372726 368729 368733
      367739 365748 367757 367761 369770 371779 373792 375799
      374804 375818 375847 373851 370851 364850 362843 358829
      354824 352827 348836 350849 350855 352863 354872 351872
      349876 345887 343900 341904 337908 333916 327925 319946
      318952 321956 325958 327962 329968 334971 338974 344975
      355972 359970 363965 366962 370957 374955 379956 384955
      388955 391957 396958 400963 404966 406968 406973 405980
      405987 405992 404995 401999 395006 390009 387014 390019
      395022 403027 407030 409035 413039 421041 431044 448053
      455054 459057 467065 483050 495036 505032 508026
 0.01 483200 482193 482191 479181 478175 477172 473169 469168
      463174 462178 459181 453184 450192 451196 451201 452207
      453210 457211 459210 467210 473206 479204 483200
 0.01 449179 448173 446168 443165 437163 435156 434152 434144
      433141 430141 427141 426143 426151 427155 429159 432164
      434170 436175 439179 444181 447182 449179
 0.01 420935 419931 419927 418924 418920 417916 415913 413909
      413905 410903 409902 406900 405904 406907 406911 408915
      408918 409922 411926 412929 413933 415936 416936 418939
      420935
 0.01 421060 419056 418052 415048 409049 407052 404053 403061
      403068 404072 410073 415073 416068 419064 421060
 0.01 401046 401041 395041 389042 386045 383049 380050 378052
      375053 375055 378058 384058 387057 392055 395053 398049
      401046
 0.25 509170 508165 509160 508158 505158 504160 502162 500163
      499165 496167 497172 498174 501175 504174 507171 509170
 0.25 484011 483002 479994 476993 474999 473008 470017 467022
      460026 457029 457035 461039 467044 472045 476042 479037
      482028 484015 484011
 0.25 474111 476107 474102 472098 468093 465093 462094 456094
      450095 447098 441100 439104 437108 438113 444121 449130
      452134 454138 457139 462135 464131 466123 467119 474111
 0.25 451226 453222 452219 450216 444211 440206 439202 433196
      431192 431186 430179 427176 425173 420173 418174 418181
      418191 416195 413199 408205 405206 400206 393202 389201
      388205 392211 399217 406221 410224 415226 418228 418234
      425234 430236 436235 443232 448229 451226
 0.25 454968 455959 454951 453943 451938 445938 439939 434944
      431948 429957 427962 425966 421971 419975 417982 415987
      413991 413999 414006 413010 413015 414018 417021 420023
      426025 432028 437040 441043 447041 450038 452032 452029
      449023 446015 443999 445994 448990 450985 452977 454968
 0.25 392799 389793 385791 382796 380801 379809 380828 382846
      385864 386873 390882 397896 399890 399879 397860 396841
      395822 393803 392799
 0.25 375905 375898 373895 369893 364894 357895 351899 346906
      341911 335917 332924 328932 326940 325945 326950 331954
      338959 341961 345962 350959 356953 360947 362937 364929
      368922 375905 375905
 0.25 452151 450147 448150 450152 452151
 0.50 449965 449957 446951 443950 440951 435954 433960 429969
      425973 423978 422990 421002 423005 425008 428009 434004
      439997 444987 446982 447978 449965
 0.50 421205 423202 421201 420201 421205 421205
 0.50 392807 390800 388797 386799 384804 384811 384822 386833
      389848 391862 393869 396874 394861 393854 393850 393842
      393836 393824 392811 392807
 0.50 364908 364904 362902 357902 351904 347909 344913 339916
      334926 330937 329943 330949 339955 346953 350948 353944
      357938 360927 363916 364908
 1.00 443966 443962 442961 439963 436965 435968 434970 433972
      431975 430977 429979 428981 428985 429989 430989 433990
      435989 437988 438985 439983 440979 440978 441975 442971
      442968 443966
 1.00 353925 351920 348919 343920 340923 338928 337932 336936
      336943 338946 342945 345941 348937 351934 352929 353925

24HR QP VT 18/12Z
 0.01 517263 514252 513247 513240 512232 509227 506223 503216
      500207 501199 503196 508195 511196 513199 518205 525203
      525198 522192 518186 522181 528174 528169 527167 523158
      521153 515148 512146 509145 507141 498132 496122 493116
      490112 486109 485105 486101 488092 491087 496078 500068
      513057 518054 520045 521039 524033 523016 523997 521991
      520988 519982 520978 522968 521962 518946 514941 510937
      505942 499944 495943 491939 489934 486928 484922 479912
      477904 475900 473895 470891 466882 460870 452860 444851
      440846 435841 408811 404798 400785 395778 391775 387771
      376759 366741 361738 358732 354733 350738 347743 344747
      341752 340756 339766 335776 329784 325793 319809 317814
      320816 324817 330814 335810 342808 347806 353806 353811
      352815 348824 345829 341833 327845 324846 322852 321858
      316862 308870 305875 303877 295893 293900 297905 300907
      315913 321913 326913 329915 332920 332924 329937 328941
      327946 327951 331954 340953 349947 354945 356946 363939
      370932 380930 386929 390928 393930 396930 400932 405934
      407937 412945 421963 423965 424969 422974 414982 406987
      404990 398992 393995 387998 384000 383008 382010 387014
      391017 396020 400021 405021 410020 414018 423013 427010
      431007 438003 446005 448007 451015 451019 449021 447024
      443027 441031 440039 442043 449052 450057 450061 440068
      440072 441076 444079 446081 446085 440085 434089 430087
      426088 427095 430100 425102 422106 419108 415108 413107
      409099 404104 391112 385120 382127 383127 394128 396128
      398131 395135 390139 384139 378140 378144 379147 379152
      376156 376163 378166 378170 377177 377181 378186 373186
      376195 383202 394213 399221 399229 400233 403237 407240
      414240 420242 426243 431246 436247 440246 446242 451243
      454240 457241 464244 468244 471244 474246 481256 487258
      493260 500268 503270 506267 510263 516264 517263
 0.01 465702 465697 462694 459695 456697 454699 452702 451703
      450706 449709 449712 448714 450715 453716 457716 459714
      462711 462709 463707 465703 465702
 0.01 497245 496242 495240 493238 492234 491233 488231 486229
      483228 482231 482234 485235 488236 488238 490240 493242
      493244 495246 497245
 0.01 485196 486188 485183 477174 475171 472172 465179 458186
      455191 453197 447205 442205 441209 443212 449213 452212
      458212 461212 467210 470209 474205 483200 485196
 0.01 415196 415188 415184 412180 410177 407175 404179 401176
      397177 392178 390179 389183 389186 391190 390191 388194
      390196 395198 398201 403203 407200 410198 415196
 0.01 416068 416064 415064 413060 412060 410059 407057 404057
      403061 403064 401068 398070 397072 397076 398079 401077
      404077 405076 407074 410072 412072 413072 415069 416068
 0.01 329985 328979 325975 319972 314973 310974 302979 295985
      290992 289996 290002 291006 294009 299008 302005 307999
      310996 315994 318992 323990 327988 329985
 0.01 270814 266806 261801 259796 256795 249798 245802 241807
      240811 240815 241822 246825 254822 260823 267819 270814
 0.25 511017 512009 512001 511992 510984 508980 505976 501975
      496975 490982 485989 480998 477002 472003 469010 467017
      465021 461029 458033 456039 456044 458051 461055 471069
      473070 475069 477067 485060 491055 497049 502040 506031
      509022 511017
 0.25 493144 491138 487134 481132 478128 475121 475118 478108
      478098 477089 476084 474079 472077 470076 465080 461083
      453090 444096 440099 438104 430112 428117 426122 428125
      435119 438117 441119 442124 441129 436137 435145 437152
      439157 443161 448164 451166 455165 458163 464163 470162
      472162 475159 473145 475140 480138 483138 488143 491145
      493144
 0.25 462915 460899 456886 451876 446872 437871 430876 426881
      410888 408892 408896 410910 413919 417930 421937 427945
      432951 438956 445958 450959 456958 461951 463945 464941
      463927 462915
 0.25 448986 447984 444983 443983 441982 438982 435983 433984
      434988 435988 438988 441987 444987 447986 448986
 0.25 422162 423150 425139 424133 422131 419133 416138 412145
      408148 404147 397143 392143 390147 392152 394158 395163
      397165 399162 403158 409155 412155 414159 420164 422162
 0.25 398844 397836 395829 390816 385802 382795 378793 374797
      373801 371808 369814 364820 361825 355830 348837 344846
      341856 339869 339880 342896 346906 351910 355909 358907
      365900 374899 383895 388891 392886 397877 399863 399853
      398844
 0.25 364759 363754 361749 359747 356747 352752 348759 346765
      343771 340779 341783 346779 353773 361770 365770 364760
      364759
 0.50 507008 506001 504997 500996 494000 491005 484016 475025
      466034 463040 463045 465048 468052 472054 475055 477055
      485051 494041 499031 505017 507008
 0.50 473107 473105 472102 470098 467098 465102 464103 462106
      461107 458108 456110 455111 453114 453118 455121 455122
      457126 460124 461123 464119 467115 470112 471111 473108
      473107
 0.50 468153 467153 465149 462148 461148 459148 460152 462153
      464154 467153 468153
 0.50 454930 453923 451914 449906 449899 449895 447890 444888
      441893 440906 431907 426906 422911 422918 423926 427937
      430943 434947 437948 443949 448946 451941 453936 454930
 0.50 451155 453151 452147 450145 449142 448141 447142 445142
      442141 439140 439141 438145 439147 439149 441151 444153
      447153 449154 450155 451155
 0.50 390847 388839 385834 381831 374832 364839 351847 348850
      346856 345861 345870 345885 347892 349896 353896 364890
      377883 380880 384875 387870 389863 390858 390848 390847
 1.00 375860 375855 373851 368848 362850 356855 351860 350867
      352876 352879 356878 362872 368867 373864 375860

24HR QP VT 19/12Z
 0.01 535200 536195 537188 533178 526164 523156 518151 512146
      509143 507139 499126 495121 493117 494114 496109 500103
      502091 507068 508021 508996 510971 513965 515957 517948
      515939 513926 511911 509899 505896 501896 498896 496894
      492893 489891 481880 472867 466865 458865 451863 448864
      445866 439872 438877 438880 438886 437889 434898 431904
      431912 430920 430925 429929 428938 427945 424948 420949
      411952 403954 397958 382962 373964 368968 362972 356976
      339979 333980 328985 323988 318993 315993 313996 310000
      311009 309017 308020 311021 319019 324017 328018 337019
      345021 362020 370019 374019 376021 376024 369036 372036
      377033 386033 390032 394035 401044 400047 396048 388048
      369050 363051 364054 386110 381113 377115 376118 372124
      372128 373133 373141 378145 384149 392151 398151 402147
      409141 414140 414151 413165 414172 415177 418179 425210
      424215 422217 422223 420229 421234 419237 414236 411238
      412242 414245 430251 457256 485270 492274 496278 503279
      508279 510275 514267 517262 517256 516249 514242 511232
      507226 505221 503216 504208 507202 518209 526218 529219
      531213 533202 535200
 0.01 481200 483196 482191 480186 480180 477176 472173 468175
      462185 455193 454197 451202 444209 441208 440210 443213
      449213 452212 458212 462210 466209 470205 478201 481200
 0.01 427769 423757 420747 418744 415742 409739 403736 397728
      392723 387720 380718 377720 373726 367734 365737 362740
      353745 350748 349750 346758 335784 331790 328797 324802
      319807 304816 301817 296817 290815 284814 278811 266806
      256801 249805 244810 243815 241822 244826 248824 254823
      262823 267824 280826 292828 303834 310835 316839 317843
      316849 319852 321855 324857 326860 325863 320875 321885
      325888 336895 342898 347902 351904 354904 363902 366901
      368897 373894 384883 389877 394869 401866 405861 411847
      414828 419815 422805 423800 423796 425788 425781 426774
      427769
 0.01 441173 439171 438169 437167 434168 436172 437173 439177
      441173
 0.01 430156 431152 430148 430147 432144 433140 432136 431134
      429135 428137 427139 425143 424147 424151 423154 426157
      429159 430156
 0.01 398136 396132 393132 393131 391128 388131 387134 388138
      390140 393141 395139 396138 398136
 0.25 524193 524187 523183 518180 516173 515168 513163 508159
      501155 500154 498156 496163 492159 488154 486151 488147
      492149 494148 491139 486134 481129 480122 482116 488102
      491095 495089 499081 501072 500061 499054 495047 491041
      487037 479034 470043 467043 463045 459051 458057 456062
      455064 450069 446067 441067 439069 439073 442080 444082
      447084 438088 435092 435097 433102 423109 419113 414114
      411116 409112 406112 405115 406117 408118 416120 423123
      425128 432120 435118 439117 442120 443123 443131 438136
      439144 438149 440154 446157 451159 456158 461153 467151
      479156 482157 485159 487167 488176 491184 495190 499191
      505187 510189 518196 522196 524193
 0.25 504939 501929 497918 493910 487902 481895 479892 474891
      470893 465896 461904 457913 453922 450930 445938 437955
      431962 425968 413979 408987 404996 403999 403005 408013
      414017 422021 427025 432032 437040 441042 445039 444035
      441032 439028 441024 445021 451019 461021 467023 475027
      479025 481022 487014 491004 494994 501972 503964 504956
      504944 504939
 0.25 499227 496219 493212 490208 486207 478207 472210 467213
      460218 457219 454222 458226 462228 466228 468226 475223
      484223 489224 492225 495228 499227
 0.25 485250 485246 484243 481240 479236 477234 476233 473235
      470235 467235 467237 466235 464232 463234 463238 466241
      469242 471244 473246 474247 477248 480250 482250 485250
 0.25 406792 404783 401773 398764 393754 386745 383743 379744
      374750 370755 364759 359764 355771 353783 352790 349797
      348803 349810 344821 339834 336846 335855 336861 338866
      342875 346878 351880 355880 358879 363875 370871 376867
      381864 387860 396849 401835 404821 406814 406805 406792
 0.25 262811 261809 260808 258806 257806 256807 255808 255810
      256813 257813 260814 262813 262811
 0.50 501949 499940 497933 491920 484911 480906 477907 474909
      471915 468920 461929 454939 448949 436968 427976 420983
      417987 415993 413001 416006 422008 428009 440009 452009
      459008 466007 472005 475001 482992 495969 498959 501949
 0.50 495063 494059 491058 485060 483059 479059 475064 472072
      468081 464085 460093 457096 453097 450102 445109 446119
      449127 451134 460136 464131 468124 472119 476111 479103
      483094 486085 488077 493068 495063
 0.50 483218 483213 482213 479212 476214 473214 472215 472218
      475217 478218 481218 483218 471219 469217 469218 469219
471219
 0.50 398796 394785 391776 387770 383767 378769 371772 366776
      364780 359790 357796 358802 358808 357815 346831 343841
      341854 341858 341862 342866 346869 350870 360865 363860
      368857 372858 378858 381856 381852 382846 385841 388837
      392834 395829 398819 399812 398804 398796
 1.00 492956 493949 492942 487934 484932 480932 474938 468944
      461948 456953 450960 442970 432981 426986 426990 428993
      436995 442997 450996 459996 463995 468992 473987 481973
      489961 492956
 1.00 379790 377790 374791 373793 372794 370797 370798 370799
      373798 376797 378794 379790
 1.00 352861 351858 350857 348859 347863 349863 351862 352861
 1.50 480958 476955 467955 462958 456964 451971 448978 448982
      453985 459988 463987 467984 471978 475970 478963 480958

$$