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Quantitative Precipitation Forecast (QPF) Discussion
 
(Caution: Version displayed is not the latest version. - Issued 0843Z Apr 23, 2014)
 
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Abbreviations and acronyms used in this product
 
Geographic Boundaries -  Map 1: Color  Black/White       Map 2: Color  Black/White


QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
443 AM EDT WED APR 23 2014


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID APR 23/1200 UTC THRU APR 26/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...NEW ENGLAND...

THE LATEST MODEL RUNS CONTINUE TO BE CLUSTERED FAIRLY WELL IN
EVOLVING STG NEG TILT S/WV INTO A CLOSED LOW OFF THE MAINE COAST
WED NIGHT.  THE NAM CONTINUES TO BE A LITTLE CLOSER TO THE COAST
WHILE THE GFS IS A BIT FARTHER EAST THAN REMAINING MODEL GUIDANCE.
 STRENGTHENING DEEP LAYERED ELY FLOW TO THE NORTH OF THE LOW WILL
HELP SPREAD PCPN BACK ACRS MUCH OF NRN NEW ENGLAND THIS PD..WITH
TRACK OF LOW AND ASSOCD COMMA HEAD BAND SUPPORTS HEAVIEST AMOUNTS
OF .50 INCH OR SO OVER ERN MAINE IN LINE WITH GENL MODEL BLEND.  


...PACIFIC NORTHWEST...

STRENGTHENING WAA PATRN DVLPG EARLY IN THE PD ALONG THE PAC NW
COAST WILL LEAD TO PROLONGED PD OF MDT TO SPOTTY HEAVY RAINS ALONG
WRN PORTIONS OF WA/OR THAT WILL BE ENHANCED BY COLD FRONTAL
PASSAGE NEAR THE COAST THUR MRNG.  FAVORABLE WLY TO SWLY 85H FLOW
OF UP TO 40-50 KTS WILL LEAD TO ENHANCED UPSLOPE AMOUNTS OVER THE
CASCADES AND COASTAL RANGES.  MODEL TIMING WAS REASONABLY
SIMILAR..SO TENDED TO LEAN MORE TO HIER RES NAM/CANADIAN GEM SOLNS
GIVEN BETTER TOPO RES.


...UPR TROF EJECTING OUT ACRS THE ROCKIES INTO THE PLAINS...

MODELS TAKE MDTLY HIGH AMPLITUDE UPR TROF EWD FROM THE ROCKIES
INTO THE PLAINS BY THUR MRNG...WITH STGR MID/UPR CIRC PUSHING ACRS
THE MT/SRN CANADIAN BORDER REGION..WHILE A SIGNIFICANT PIECE OF
VORT ENERGY ASSOCD WITH UPR JET MOVES OUT ACRS THE CNTL PLAINS
REGION WED NIGHT INTO THUR MRNG.  THE 12Z EC APPEARED TO BE A BIT
TOO FAR NORTH WITH THE 5H CENTER AS ITS OWN ENSEMBLE MEAN WAS
CLOSER TO THE REST OF THE MODEL CONSENSUS WHICH WAS FARTHER SOUTH
ALONG THE CANADIAN/U.S. BORDER.  THE MAIN IMPACT OF THIS WAS TO
BRING MDT PCPN AMOUNTS MORE ACRS ERN ND/MN THAN THE 12Z EC WOULD
IMPLY IN THE BROAD WAA ZONE AHEAD OF ADVANCING PAC FRONT OVER THE
NRN PLAIN/UPR MS VALLEY.  FARTHER SOUTH...DECENT HEIGHT FALLS AND
WELL DEVELOPED RETURN FLOW MSTR FEED FROM THE SOUTH WILL SET THE
STAGE FOR CONVECTIVE OUTBREAK LATE WED/WED NIGHT AS AIRMASS
BECOMES QUITE UNSTABLE AHEAD OF DVLPG LOW PRES AND ASSOCD COLD
FRONT/DRY LINE ADVANCING EWD FROM THE CNTL/SRN PLAINS. 12KM NAM
LOOKED SIMILAR TO OTHER MODELS IN WHERE THE BETTER CONVECTIVE
INITIATION TAKES PLACE OVER NEB/KS AREA..THOUGH SEEMED TO DISPLAY
SOME FEEDBACK THUR NIGHT TAKING HEAVIER AMOUNTS A BIT TOO FAR TO
THE NE.  FOR THAT REASON..TOOK A COMPROMISE OF NON-NAM SOLNS WHILE
INCORPORATING SOME HIER RES MODEL GUIDANCE WHICH WERE SLIGHTLY
HEAVIER WITH AMOUNTS FARTHER SOUTH IN OK WHERE MODELS ALL SHOWED A
SLIGHT HIER ZONE OF MSTR FLUX WORKING N OF THE RED RIVER WED
NIGHT.

DAYS 2/3...

...MIDWEST TO GREAT LAKES/APPALACHIANS...

THE AMPLIFIED UPPER TROUGH WILL ADVANCE DOWNSTREAM FROM THE
NORTHERN PLAINS TO UPPER MS VALLEY DAY 2/THU AND EVENTUALLY INTO
THE GREAT LAKES AND OH/TN VALLEYS BY THURS AND FRI.  DIFLUENT FLOW
ALOFT DEVELOPS WITH THE SLIGHT NEGATIVE TILT TO THE UPPER
TROUGH...SUPPORTING AREAS OF UPPER DIVERGENCE/LOWER CONVERGENCE
WITHIN THE FRONTAL ZONE ACROSS THE UPPER MS VALLEY AND UPPER GREAT
LAKES.  QPF MAXIMA OCCUR WITHIN THE BANDS OF 700 MB THETA-E
ADVECTION AND CONVERGENCE.
FURTHER SOUTH ALONG THE FRONT...A SECOND JET MAXIMA AND ASSOCIATED
COUPLET OF UPPER DIVERGENCE/LOWER CONVERGENCE IS FCST TO CROSS MO
INTO THE MID MS VALLEY. SHOWERS/STORMS DEVELOP WITHIN THE
RELATIVELY HIGHER AXIS OF PRECIPITABLE WATER VALUES FCST TO
INCREASE TO 1.25-15 INCHES AHEAD OF THE FRONT.

THEN ON FRI... THE NRN STREAM JET MAXIMA CROSSES THE GREAT LAKES
AND UPPER OH VALLEY AND ADJACENT  APPALACHIANS.  SHOWERS ARE
EXPECTED FROM THE WRN OH/TN VALLEYS TO THE APPALACHIAN SPINE BUT
THE STRENGTH OF THE LOW LEVEL CONVERGENCE/FRONTOGENESIS STARTS TO
WEAKEN...AND PRECIPITABLE WATER VALUES DECREASE.  CONSEQUENTLY QPF
AMOUNTS ARE NOT AS HIGH AS ON DAY 2. MANUAL PROGS USED A CONSENSUS
OF THE 00Z ECMWF/UKMET/GFS BOTH DAYS FOR QPF AMOUNTS.


...PACIFIC NORTHWEST INTO THE INTER-MOUNTAIN WEST...

PAC ENERGY WILL ARRIVE INTO THE PAC NW ON THURS WITH AN UPPER
LEVEL JET MAX STREAKING ACROSS NORTHERN CA AND OR...EXTENDING
NORTHEAST INTO THE NORTHERN ROCKIES.  UPPER DIVERGENCE MAXIMA AND
LOW-MID LEVEL POSITIVE MOISTURE FLUX ANOMALIES SET THE STAGE FOR
SHOWERS NEAR THE FRONT APPROACHING THE NORTHWEST/NORTHWEST
CA...AND WHERE 700 MB CONVERGENCE AIDS UPSLOPE FLOW IN PRODUCING
ASCENT IN THE NORTHERN ROCKIES.

AS THE UPPER TROUGH AMPLIFIES ON FRI...THE 300 MB JET DRIFTS SOUTH
ACROSS THE CA SIERRA AND NV GREAT BASIN.
THE GFS SHOWS A SECOND MAXIMUM OVER NORTHERN ID WITH A COUPLED JET
REGION EXTENDING FROM NORTHERN NV TO ID AND SOUTHWEST MT FAVORING
300 MB DIVERGENCE AND RISING MOTION DEVELOPING.
A 700 MB CONVERGENCE MAXIMA OUT AHEAD OF THE FRONT WITHIN AN
AIRMASS WHOSE PRECIPITABLE WATER ANOMALIES ARE NEAR 1 STD
DEVIATION ABV NORMAL PRODUCES A QPF MAXIMA IN NORTHERN NV TO
SOUTHERN ID AND SOUTHWEST MT.   

MANUAL PROGS FOLLOWED A BLEND/COMPROMISE OF THE GFS AND ECMWF WITH
LOWER WEIGHTING OF THE UKMET AND NAM QPF BOTH DAYS. 

SULLIVAN/PETERSEN

GRAPHICS AVAILABLE ON THE WEB AT www.wpc.ncep.noaa.gov/qpf/qpf2.shtml

24HR QP VT 24/12Z
 0.01 485614 506641 514657 519681 520687 521691 523705 522710
      519714 516717 511718 508719 505718 498719 493721 490724
      485725 480729 465732 461736 459740 455749 451755 443760
      436768 432776 430778 427779 423780 423774 422766 420761
      419750 420745 423742 424739 424734 424730 423728 420729
      411733 403734 401732 401729 403718 405712 403706 401698
      402690 401683 398678 398667 401655 404649 406641
 0.01 512292 511282 510273 509264 509259 512255 513246 513242
      511236 509229 505221 501215 499206 494189 494186 494183
      495182 498180 501181 506185 511191 515195 520202 527204
      535204 537204 539202 542195 559109 559101 558092 555072
      555067 554061 551050 546034 543022 540011 533992 527974
      523965 520960 514949 509943 505938 501931 495926 487914
      475904 459894 449886 437878 432874 426878 423879 420881
      418882 416886 416891 414895 411900 406907 400912 386924
      379928 371932 365935 359938 345945 323956 311964 305968
      301972 292987 289990 291994 292999 288001 284006 281010
      282013 280015 278018 277022 279024 290029 297032 305033
      313031 319027 334023 341020 349019 356018 360017 369016
      373035 376035 380038 381041 383043 394048 399044 403040
      405037 405031 404026 404021 407011 410005 416000 423995
      430991 438988 445984 451990 453994 453000 455008 458013
      462018 473025 479030 482034 483037 482042 480044 475050
      468053 461057 457058 452058 447057 444055 440055 437058
      437066 439071 441074 446080 448083 447086 444091 434095
      431096 431099 434105 432109 432116 434117 438115 440115
      443118 447121 451122 454118 457114 463109 462101 457096
      456091 458087 465085 470083 475080 481083 486087 492091
      496098 499106 502114 505119 504126 501134 502143 500147
      497143 493135 486129 479125 471123 462129 454129 450131
      452135 451139 444142 439139 435145 436155 438163 437174
      432179 427184 426190 426194 433201 438203 441207 436211
      431211 427207
 0.01 427207 425203 420202 416203 418209 421212 423213 423216
      421217 417216 413212 409210 405212 402219 402226 397236
      394240 391241 391246 394256 399267 401270 406272 412270
      419272 444280 466283 476286 478300 480313 484325 489341
 0.01 415076 414069 416066 416063 414061 411059 405057 400060
      398061 395061 391064 389068 391075 393080 399079 404077
      410075 415076
 0.25 441630 449635 458638 467639 478636 489632 493634 497637
      500640 503645 506662 506676 505681 501687 494693 490696
      484700 479700 474698 466695 461694 458691 452691 448692
      439694 436693 435691 435682 437672 437664 434655 433651
      432643 435632
 0.25 550121 550116 549111 547101 546094 545086 545071 543055
      540040 537029 534016 532007 528998 522989 517983 492947
      488942 483936 475930 468930 463928 460925 457920 453915
      447909 439904 432904 428907 425909 421912 419916 415925
      411930 408933 400941 389956 384961 378962 374961 365957
      362956 356956 351958 348962 345967 343974 344980 347979
      351978 353979 352982 349989 346993 344995 340999 338003
      339007 343010 348012 355011 360009 363006 368004 372006
      380010 386013 391013 394011 408000 415993 422985 426981
      429976 433967 435959 440952 443951 446951 450953 452956
      455961 457967 459973 460981 462986 468996 473002 483016
      488023 493032 495040 495047 494061 496067 499072 503080
      511097 519117 525129 528134 532138 535139 536136 538136
      540137 542136 545131 550121
 0.25 497268 499259 499250 499238 498231 497224 494218 488205
      483202 476201 468200 463202 459204 455208 450212 444214
      433217 428218 425225 423227 420228 414228 409231 405236
      402241 402249 405256 410260 420264 427264 434264 445263
      458262 468261 474261 482263 489268 494269 497268
 0.25 483184 484173 485168 484164 480158 475154 470150 466144
      461145 458153 454158 451158 450163 453168 456162 456167
      455171 452178 448185 447188 448192 450194 454194 459191
      463187 469184 474183 480186 483184
 0.25 434701 433696 431695 428696 424697 421698 420701 419704
      420709 422711 425711 428710 430709 432706 433703 434701
 0.50 536104 537093 536083 533060 530042 529038 530031 529023
      527019 521007 512992 504981 500975 495967 492961 487954
      482952 480954 477953 474953 470954 468956 466960 469969
      473977 475984 478992 483000 485008 493019 497026 500036
      501044 502055 503060 505065 508073 513087 517096 521104
      524108 528112 532111 534109 536104
 0.50 498667 498662 497657 494650 489647 482647 475651 467654
      462653 454651 450650 443652 442654 442660 445669 445676
      446681 449683 462681 467684 474686 480685 488681 493677
      497671 498667
 0.50 490250 490244 488240 485239 481233 478231 474232 471228
      476225 486223 488221 488218 487212 483210 480209 474209
      469210 463210 453214 443216 433220 429223 427226 427231
      431234 424233 418232 413233 410241 409246 411252 415256
      423259 429260 439259 450256 460254 470250 474249 479249
      485252 490250
 0.50 479172 479171 478170 477168 476167 474166 472166 471168
      470169 470170 470173 471173 472173 473173 473174 475174
      477174 478174 479172
 0.50 459182 457181 457182 457183 459182 459182
 0.50 444937 444932 438931 434930 435933 432932 428933 421935
      417937 411942 404949 393964 386970 385975 385983 385987
      387993 386999 387005 390006 394005 401000 408994 415987
      421980 423977 426972 428961 433950 437942 444937
 0.50 368976 366975 364975 363976 364977 366978 368977 368976
 0.50 363992 363985 360985 357989 355991 352996 351002 349005
      349007 351009 356007 357002 359998 362994 363992
 1.00 481216 478214 475215 468217 462216 454217 448218 441220
      436224 433225 431229 433230 437231 444229 446231 443232
      438238 434244 433249 437250 443250 449249 462244 467241
      469238 468232 467229 469225 473218 481216
 1.00 424246 425244 424241 422240 421240 419239 417239 416239
      417239 419241 419242 420244 422245 423246 424246
 1.00 422954 419952 416954 410960 406968 405970 409973 404979
      400987 399991 403990 408984 414977 416973 416966 419959
      422954
 1.50 464236 462235 459232 455232 453233 450234 448235 446236
      444240 445243 447243 450244 453243 456242 458242 461240
      463238 464236
 1.50 464224 465221 464220 462219 461219 459219 457219 456219
      455221 456224 456225 458226 460227 461227 463226 463225
      464224
 1.50 451225 452223 452222 450220 449219 447220 445220 445221
      443222 441224 442226 444226 446226 447226 448226 449226
      451225 451225 

24HR QP VT 25/12Z
 0.01 552066 553047 553039 552033 549020 545006 542998 540989
      538980 538971 530944 528939 528935 528926 528909 525893
      524886 521880 519874 515868 512861 509857 502845 494835
      483820 476812 468805 460799 455795 449794 444793 437794
      425800 419801 415804 404805 399804 394805 379807 374809
      367811 356816 350819 341820 336822 331826 329830 328835
      328849 327861 325869 321872 319877 321883 322887 319895
      313907 309920 305930 303940 303948 304954 310962 321971
      331976 336979 343979 350979 355977 364974 373970 383964
      393961 407957 414955 420955 432958 442961 461968 466970
      470974 474977 477982 480989 483997 487011 489018 489023
      487027 477032 475036 477042 477047 480053 497064 501070
      505072 507076 508081 512087 516091 517098 518106 520114
      526124 533129 539130 541123 540116 538111 535106 533098
      531081 531071 532069 534071 535075 538078 544077 549072
      552066
 0.01 532227 535213 535201 531192 528182 529171 526166 520159
      516150 511149 508146 494142 488135 482129 479126 474126
      468124 466122 466119 471119 474118 475115 477110 478106
      477103 469100 469092 458079 457073 455071 448069 444072
      443075 446080 449083 449090 445091 441091 438091 435094
      428114 425129 418135 415137 412141 409144 405146 395157
      391158 390163 389173 384176 383180 384182 387183 392183
      397183 401181 405180 408183 410187 408193 404197 401202
      399204 395202 392199 384193 381190 376189 373192 373198
      377201 379208 376212 375218 374228 373235 374239 375244
      379245 389247 389253 389259 390271 392276 394277 398276
      402274 407270 421263 430259 439257 455255 460255 463254
      472257 477258 485265 493274 499283 502287 506289 511289
      513285 515281 516274 517263 518249 517243 516237 512228
      512225 512220 514215 516212 517214 520218 522225 523230
      525233 528233 532227
 0.01 522696 521686 518678 515668 514662 513660 506649 496639
      487634 474633 469633 462634 454635 447637 443640 435644
      428648 425653 419664 417672 420678 424684 429686 441692
      446692 451695 457698 462701 467704 471708 476712 479714
      482713 488711 495710 501713 509711 516706 520700 522696
 0.01 408100 408098 408100 408100
 0.01 329798 329796 329794 328793 327794 326795 325797 324799
      323800 322801 322803 321804 320805 320806 322808 324807
      326806 326805 327803 328801 329799 329798
 0.01 319836 319825 318819 316815 310813 300811 295809 287804
      280803 270802 266803 262805 261809 263813 268818 276821
      281824 291825 296829 300832 302836 303846 306855 308857
      313856 315853 316849 319836
 0.01 253806 253804 252802 252801 251802 250803 248804 248806
      249807 250808 251809 252808 252807 253806
 0.25 534018 534012 534006 533997 528977 525964 522955 518947
      516936 514926 512919 505901 499883 491864 484851 480844
      475838 470833 463828 455825 446826 440828 434831 420839
      414839 404839 395839 386842 379844 371845 361847 355850
      347855 342862 338878 334886 333893 331902 328910 319926
      317930 316935 318943 321946 324947 328947 330949 332952
      334957 340960 344961 350961 357960 366957 374954 386948
      401943 410940 418937 426935 433937 445942 457949 472959
      484968 493977 503989 509997 513006 518015 522020 524023
      528025 532024 533022 534018
 0.25 507279 507267 511254 510245 509239 505229 501220 497210
      492205 488201 488197 491195 496197 500196 503193 503188
      500182 498176 496164 490157 485155 480154 475153 470150
      462141 458139 455141 447145 443145 437147 434152 432159
      428167 425172 424177 425190 421202 416211 413214 409216
      405219 402225 397236 396243 397247 402256 405257 411257
      420255 428252 436248 445245 454243 464244 469246 474248
      479251 483255 490264 497274 502280 507279
 0.25 488670 487663 481657 474647 469644 462645 456645 448646
      443649 438655 436657 436662 441667 451673 462677 467678
      473682 478683 483682 484677 486675 488670
 0.25 476202 476197 474194 470187 468185 465185 460188 454194
      450199 447201 446206 449213 453214 456212 461208 469208
      474204 476202
 0.50 502272 502262 501256 502251 505242 505236 503232 501225
      497218 490211 486209 481208 475209 469211 454218 451219
      448218 440218 431217 427219 425222 420227 413228 408230
      406233 402242 403249 405253 408253 416251 424249 435241
      448233 453227 455225 458224 465225 472222 479222 486225
      490229 492234 494241 487241 484245 484248 488257 493266
      497270 500273 502272
 0.50 520991 513983 514974 513965 509945 507934 505926 503918
      501911 495896 490880 482865 479859 475855 466847 462844
      458842 454842 448843 442849 438854 434857 423864 411872
      403873 397871 391871 386872 377874 370874 362878 357883
      354889 353893 355897 357899 357903 363903 376898 377901
      375902 372905 367909 360921 352930 350936 349945 351948
      353950 360947 367945 375944 387942 394940 399936 403931
      409926 416922 422921 429921 434923 446928 457935 464938
      471942 479949 487958 493964 499969 504973 507980 509985
      513990 518994 520991
 0.50 480244 480241 479238 479237 478235 477235 476234 475235
      474235 473236 473239 473240 474242 475243 476244 478245
      479245 480244
 0.50 487177 486171 481167 470160 462152 456151 451154 447155
      442159 442165 444174 445180 446182 450184 455183 461180
      464178 469175 473176 478180 483181 487177
 0.50 464657 464655 462653 460651 456650 454650 451650 449650
      448651 447655 449657 451659 453661 456662 458662 461662
      464660 464657
 0.50 432876 430874 426874 419875 412876 409877 408880 406882
      405885 402890 402892 406892 411891 417892 422889 425885
      429881 432876
 0.50 381897 380897 378898 380898 381897
 1.00 494223 493220 492219 490218 488216 488215 487215 485217
      486220 488221 489222 491223 493224 494223
 1.00 484914 484911 484904 483899 482892 479889 475888 472892
      470896 468901 468907 470912 472916 475919 480918 484914
      484914
 1.00 454906 454901 453898 451895 449894 446893 443893 439894
      438897 438899 438902 439906 441907 444909 446910 450910
      453908 454906
 1.00 425242 425237 423236 420235 416234 414235 412235 410237
      409242 411244 413245 414246 418245 420244 423243 425242
 1.00 395915 395913 392912 388913 384915 380917 377920 377927
      379931 384934 387934 390931 392927 391922 390919 392917
      395915 

24HR QP VT 26/12Z
 0.01 538188 532163 523142 510123 505116 500108 494096 490084
      487070 485058 483045 481030 479018 475007 473001 470996
      465989 456993 451995 451003 450011 449018 448034 447042
      445047 439047 436049 429049 427049 425051 418059 416064
      412068 408070 406072 403072 398073 392073 390077 389084
      389089 393093 397096 396103 375109 355112 348112 343113
      340115 337120 337128 340137 341143 345147 351149 355153
      360155 362161 362167 361174 351175 347165 346160 343160
      331159 328158 326160 323166 321171 318177 334187 342194
      344198 347201 350206 355208 358212 359217 364227 369235
      378243 387248 392251 397253 406253 415253 422253 426252
      446248 451250 455249 464257 483265 488267 491271 494274
      498278 502282 506278 510277 512276 513271 516273 517267
      517259 515252 514237 518232 522229 528223 531219 533214
      536199 536191 538188
 0.01 514224 510215 508212 504210 500204 495202 490201 486195
      483188 481184 477182 472181 468180 466182 461189 457197
      455200 456204 457209 460212 463209 466208 473208 481210
      488210 494210 499214 499220 502223 504226 507228 512226
      514224
 0.01 530963 530941 530920 526904 526897 525894 524889 521873
      520866 518858 516844 512830 511823 511817 512814 512804
      511796 506764 503757 500752 499747 499739 500733 500726
      499719 497714 493708 489703 486700 482698 461696 419693
      409690 404689 399692 387695 380697 376701 368710 365713
      359716 350721 346724 342726 337730 332734 324742 317748
      309757 301764 302774 304781 307785 312788 318789 315794
      314801 311813 312821 314826 315832 312837 309840 308844
      307850 307858 308865 310869 310872 314882 316884 319883
      327883 331883 333881 339880 350875 359870 369866 376864
      381862 390858 401855 404855 406859 407866 409871 409876
      409882 413889 413893 415896 420903 424903 426905 430902
      433901 436896 435879 438864 443866 447870 450875 454881
      456888 458895 460902 460910 464943 464961 464968 465974
      465981 469989 480990 486990 490988 494988 495990 497995
      499996 502001 506003 512005 516003 520000 522994 526981
      530963
 0.01 433080 432078 430078 429080 430082 432082 433080
 0.01 386970 386962 384958 379954 375953 370951 364951 354954
      348960 346966 344973 345977 348981 353983 359984 365983
      369982 375981 379979 383975 386970 386970
 0.01 253812 251810 249809 247810 246811 246813 247815 248815
      249815 251814 253812 253812
 0.25 509264 510257 509251 503245 493243 486238 476234 473237
      473242 476246 481248 485251 488254 493261 498268 503272
      506269 509264
 0.25 501878 501868 501859 498844 495812 488784 487778 483773
      480771 475772 464777 460779 455778 446778 437774 426772
      423769 418768 401774 389777 385780 383785 389790 393793
      396798 396802 394803 388804 382805 376808 372810 366810
      362813 361817 362821 399828 404831 409833 414834 420833
      428828 438830 447834 454840 461847 467856 472866 476877
      480889 483892 487895 490896 494894 498890 500884 501878
 0.25 489134 488129 486125 479119 477116 477109 477102 475096
      472087 467080 465078 462078 459080 454086 447092 439095
      432099 427106 420111 412112 409116 408123 403130 391142
      387149 382158 379168 378173 380178 383181 386183 391184
      395182 402177 408172 414166 417165 422166 423178 425179
      429176 435173 441178 442181 444184 447183 453177 464166
      470166 475168 483172 484169 483165 480161 478157 486147
      489134
 0.25 467737 467734 467732 465730 464731 462731 461733 462734
      463735 464736 465737 466738 467737
 0.25 417230 417219 415210 409204 400202 393198 387191 381187
      374183 364180 359180 355182 351186 352191 354193 360200
      363207 364211 366215 376218 385221 390227 394234 397237
      401239 406240 409237 415232 417230
 0.25 376787 376783 374781 370779 364776 360774 351767 346765
      340764 336766 332770 333787 332794 333798 336800 340802
      345803 358804 364802 368798 371792 375789 376787
 0.50 479827 479825 478823 478822 477820 475820 473823 473825
      473828 474830 474833 476834 477832 478830 479829 479827
 0.50 470143 470140 469137 467135 466133 464134 464136 463137
      462139 462141 463144 464146 464147 466148 467147 468147
      469145 470143 470143
 0.50 467102 467099 465095 464094 460092 457093 455096 454098
      452100 452105 453107 456108 457108 461108 464107 466105
      467102
 0.50 454159 454157 454154 453153 452152 450152 448153 447153
      446153 445153 443153 441154 441156 442158 443159 444160
      445161 446162 447163 449164 450163 451162 452161 454159
 0.50 440110 439108 435109 433109 430111 428113 426115 424117
      423119 422124 425125 427124 429122 431121 433119 435117
      437115 439112 440110
 0.50 423148 424144 424140 422136 419134 417136 413138 404140
      399143 396146 390155 386166 386172 389176 394176 398175
      402171 404167 411159 418153 423148
 0.50 400213 399208 396206 389199 383193 376188 368184 362183
      359184 357186 357189 360192 366199 372206 380211 387215
      392217 396217 400213
 0.50 349787 347786 345785 344785 342786 341788 342789 344790
      346790 346789 348789 349787
 1.00 386200 385200 384199 383198 382197 381195 379194 378193
      376193 374192 372192 371192 371195 372195 373197 374198
      375198 377200 378201 379201 380202 382203 383203 385202
      385201 386200