Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 272025
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
424 PM EDT WED JUL 27 2016


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID JUL 28/0000 UTC THRU JUL 31/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1

LOWER MS VALLEY---LOWER TN VALLEY---OH VALLEY---CENTRAL
APPALACHIANS INTO THE MID ATLANTIC

THE MID TO UPPER LEVEL TROF WILL BE AMPLIFYING DAY 1 THROUGH A
LARGE PORTION OF THE MS VALLEY.  THIS WILL ALLOW FOR A
NORTHEASTWARD PUSH OF ABOVE AVERAGE PW VALUES...1.5-2+ STANDARD
DEVIATIONS ABOVE THE MEAN...FROM THE LOWER MS VALLEY/LOWER TN
VALLEY---THROUGH THE OH VALLEY AND INTO THE CENTRAL APPALACHIANS
AND MID ATLANTIC.  UPPER DIFFLUENCE TO THE NORTHEAST OF THIS
AMPLIFYING TROF WILL ACCENTUATE LIFT IN THE VICINITY OF THE WEST
TO EAST ORIENTED FRONTAL BOUNDARY AND ABOVE AVERAGE PW AXIS ACROSS
THESE AREAS.  THIS WILL SUPPORT POTENTIAL FOR WIDESPREAD MODERATE
TO HEAVY PRECIP TOTALS---WITH THE USUAL SHORTER TERM QPF DETAIL
DIFFERENCES---BUT BETTER OVERALL AGREEMENT FOR MODERATE TO HEAVY
PRECIP TOTALS DURING THE UPCOMING DAY 1 PERIOD.

NORTHERN TO CENTRAL HIGH PLAINS

AN ACTIVE STREAM OF SHORTWAVE ENERGY WILL DIVE SOUTHEASTWARD ON
THE BACKSIDE OF THE AMPLIFYING MS VALLEY UPPER TROF---PUSHING
SOUTHEASTWARD ACROSS PORTIONS OF THE NORTHERN TO CENTRAL PLAINS.
STRONG UPPER DIFFLUENCE AHEAD OF THESE SHORTWAVES SHOULD SUPPORT
ACTIVE CONVECTION.  CONVECTION AHEAD OF THESE AREAS OF SHORTWAVE
ENERGY LIKELY WILL BE FAST MOVING---LEADING TO POTENTIAL FOR
TIMING ISSUES IN THE MODELS.  MODERATE TO LOCALLY HEAVY PRECIP
TOTALS POSSIBLE ACROSS PORTIONS OF THE NORTHERN TO CENTRAL HIGH
PLAINS.

UPPER MS VALLEY

HEIGHT FALLS ON THE NORTHERN END OF THE AMPLIFYING MS VALLEY UPPER
TROF WILL SUPPORT A SEPARATE NORTHERN PRECIP MAX DAY 1 FROM THE
UPPER MS VALLEY EASTWARD TOWARD THE GREAT LAKES ALONG THE
ASSOCIATED NORTHERN STREAM FRONTAL BOUNDARY STRETCHING WEST TO
EAST ACROSS THIS AREA.  THERE IS MORE MODEL SPREAD WITH QPF
DETAILS ACROSS THIS REGION THAN POINTS FARTHER TO THE SOUTH OVER
THE LOWER MS VALLEY INTO THE MID ATLANTIC---LEADING TO LOWER
CONFIDENCE HERE.  THE IN HOUSE PSEUDO-BIAS CORRECTED ENSEMBLE MEAN
WAS FOLLOWED MORE CLOSELY HERE TO MITIGATE THESE DIFFERENCES WITH
AREAL AVERAGE MODERATE TO LOCALLY HEAVY PRECIP TOTALS POSSIBLE.

NORTHERN NY STATE INTO NORTHERN NEW ENGLAND

THE EASTERN EXTENT OF THE AFOREMENTIONED NORTHERN STREAM FRONT
WILL PUSH SOUTHEASTWARD ACROSS NORTHERN NY STATE AND NORTHERN NEW
ENGLAND THURSDAY. A NARROW AXIS OF ABOVE AVERAGE PW
VALUES..1.5"+...IN THE VICINITY OF THIS FRONT WILL SUPPORT
SCATTERED CONVECTION ALONG THE FRONT---WITH MODERATE PRECIP TOTALS
POSSIBLE FROM NORTHERN NY STATE INTO NORTHERN NEW ENGLAND.

DAYS 2/3...

...PLAINS...LOWER MS VALLEY...

DURING DAY 2...UPSLOPE FLOW ALONG THE EASTERN SLOPES OF THE
ROCKIES ALONG WITH THE PASSAGE OF A SERIES OF WEAK DISTURBANCES
MOVING THROUGH THE NORTHWEST FLOW ALOFT WILL SUPPORT AT LEAST
SCATTERED CONVECTION OVER THE CENTRAL AND NORTHERN HIGH PLAINS.
MODELS ARE KEYING ON A MORE ORGANIZED MCS DEVELOPING OVER WESTERN
NE LATE THURSDAY AND THEN TRACKING SOUTHEASTWARD THROUGH
WESTERN/CENTRAL KS INTO NORTH-CENTRAL OK DURING THURSDAY NIGHT.
SOUTHWESTERLY NOCTURNAL JET WILL ENHANCE CONVERGENCE ALONG A
STATIONARY FRONT AND POOL MODERATELY DEEP MOISTURE TO SUPPORT
RAINFALL AMOUNTS UP TO 1-3 INCHES...WITH LOCALLY HEAVIER AMOUNTS.
SEVERAL MODELS SHOW FAIRLY HIGH PRECIPITATION RATES OVERNIGHT
THURSDAY WITH THIS SYSTEM...SO HAVE INTRODUCED A SLIGHT RISK FOR
EXCESSIVE RAINFALL ACROSS WESTERN AND CENTRAL KS. ANY REMNANT
SHORT WAVE OR MCV FROM THIS ACTIVITY MAY FIRE ADDITIONAL
CONVECTION OVER THE LOWER MS VALLEY DURING THE DAY FRIDAY AS IT
ENCOUNTERS AN AXIS OF SOMEWHAT DEEPER MOISTURE AND INSTABILITY.
MODELS GENERALLY AGREE THAT THIS CONVECTION WILL BE LESS ORGANIZED
AND LIGHTER THAN THE ACTIVITY EARLIER IN THE DAY.  DURING DAY
3...CONVECTION OVER THE PLAINS SHOULD BECOME MORE SCATTERED AS A
WEAK SHORT WAVE RIDGE SETS UP OVER THE WESTERN HIGH PLAINS IN
ADVANCE OF A DEEPENING TROUGH MOVING INTO WESTERN CANADA AND THE
PACIFIC NORTHWEST.

...MIDDLE MISSISSIPPI VALLEY/UPPER GREAT LAKES...

MODELS AGREE THAT A BROAD SHORT WAVE TROUGH WILL SLIDE ACROSS THE
MID-UPPER MS VALLEY AND GREAT LAKES STATES LATER FRIDAY THROUGH
SATURDAY.  SURFACE FEATURES ARE ILL-DEFINED AND THE LACK OF A
COHERENT IMPULSE EMBEDDED IN THE TROUGH SUGGESTS THAT CONVECTION
WILL BE MOSTLY SCATTERED AND DIURNALLY DRIVEN. 850MB CIRCULATION
DEVELOPS OVER THE MID-MS VALLEY ON DAY 3 WHICH WILL ACT TO PULL
SOME MODERATELY UNSTABLE AND HIGHER PW AIR NORTHWARD THROUGH THE
OH VALLEY...POSSIBLY RESULTING IN SOMEWHAT MORE ORGANIZED
ACTIVITY...BUT CONFIDENCE IN PLACING THIS PRECIPITATION IS VERY
LOW.

...OH/TN VALLEYS/APPALACHIANS/MID-ATLANTIC/NORTHEAST...

CLOSED LOW OVER NORTHEAST LA AT 12Z 27 JULY IS EXPECTED TO BE
CAPTURED BY THE SLOWLY AMPLIFYING UPPER TROUGH ACROSS THE MIDWEST
DURING DAY 1...AND THEN EJECT TO THE NORTHEAST THROUGH THE CENTRAL
APPALACHIANS AND MID-ATLANTIC REGION DURING DAY 2. THIS SYSTEM
WILL TRACK ALONG AN OLD FRONTAL BOUNDARY AND ASSOCIATED DEEP
MOISTURE PLUME RESULTING IN THE POTENTIAL FOR A RELATIVELY BROAD
AREA OF MODERATE TO HEAVY RAINFALL THURSDAY EVENING THROUGH FRIDAY
BEFORE MOVING OFF THE COAST AND SHEARING OUT FRIDAY EVENING.  THE
NAM REMAINS AN OUTLIER AS IT INDUCES FAIRLY STRONG CYCLOGENESIS
ALONG THE NORTHERN MID-ATLANTIC COAST FRIDAY AND TRACKS THIS
SYSTEM UP ALONG THE NORTHEAST COAST FRIDAY NIGHT.  THIS RESULTS IN
MUCH HEAVIER PRECIPITATION THAN OTHER GUIDANCE OVER THE
NORTHEASTERN US. GENERALLY FAVORED A GFS/UKMET COMPROMISE WHICH
SUPPORTS AREAL AVERAGE AMOUNTS OF 1-3 INCHES FROM EASTERN KY
EAST-NORTHEASTWARD INTO NORTHERN NJ...WITH LOCALLY HIGHER AMOUNTS
IN EMBEDDED HEAVIER TRAINING CONVECTION.  THIS IS SLIGHTLY FASTER
THAN PREVIOUS THINKING...SO HAVE EXTENDED THE SLIGHT RISK FOR
EXCESSIVE RAINFALL ACROSS SOUTHERN PA AND SOUTHERN/CENTRAL NJ.
FARTHER NORTH...BELIEVE A SECOND AXIS OF MOSTLY LIGHT-MODERATE
CONVECTION WILL PUSH ACROSS NEW ENGLAND ON FRIDAY WITH SOMEWHAT
ENHANCED INSTABILITY ALONG A WEAKENING NORTHERN STREAM COLD FRONT.

...SOUTHWEST...

UPPER RIDGE ACROSS THE REGION WILL SLOWLY BREAK DOWN OVER THE NEXT
COUPLE OF DAYS ALLOWING FOR AN INCREASE IN MONSOONAL CONVECTION
DURING DAY 3. AXIS OF GREATEST INSTABILITY AND HIGHEST PWS
SUGGESTS THE BEST CHANCES FOR MORE ORGANIZED ACTIVITY AND THE
POTENTIAL FOR ISOLATED HEAVY RAIN WILL BE OVER SOUTHEASTERN CA
INTO WESTERN/CENTRAL AZ.

ORAVEC/KLEIN

24HR QP VT 29/00Z
 0.01 538180 539175 538170 538162 538155 537150 536147 528137
      521125 517120 513116 502108 491099 484094 479089 470081
      463073 459067 459063 461060 463055 465053 470057 477067
      482073 484075 486073 491066 493061 493057 494051 493047
      491038 489030 487025 479018 468011 465006 461002 457996
      453993 450993 444996 436997 434999 430998 425996 409993
      415984 421975 424967 425961 437954 443950 445948 447950
      450946 456943 462939 466932 469930 470924 471915 471901
      470896 469893 466889 461876 455860 452853 450843 445824
      437818 431822 428829 425834 426838 425841 425844 423847
      420841 416835 414828 412808 411796 412784 411777 408770
      403752 401744 395740 386737 383736 380736 376739 366746
      363748 359749 356754 357761 360767 361771 361776 361786
      360795 359799 359805 357813 354821 352826 353834 351842
      349847 337869 335872 331874 324876 309877 294882 287895
      282897 279901 275904 273909 266936 264945 263948 262952
      258965 259970 261974 263976 266976 273974 277974 279972
      281970 283973 282976 282979 286979 288981 292984 297988
      295996 291002 286004 278005 271007 265008 260004 251994
      247989 242990 238993 234995 231999 230005 222072 226078
      231083 239090 245095 256106 268118 273123 280128 288133
      295129 302127 308123 308118 311114 318110 325108 328105
      330101 333098 334090 334084 332081 325076 321075 318073
      314070 310066 304061 298056 294054 290053 287053 286050
      286046 287043 292037 296031 303025 309019 313017 316014
      320009 324005 326001 326995 327992 330991 335984 338983
      341980 344973 352954 355939 356935 358931 361925
 0.01 361925 366918 371910 379900 387904 396904 399902 401902
      405905 408909 410915 412918 411922 410929 403949 402956
      399961 394970 388977 382983 378997 374007 371016 371023
      374026 383033 387036 392037 398038 401039 406041 409045
      414055 417059 421063 426064 431064 434067 437072 440084
      440093 441101 446106 449109 454111 461111 466115 469119
      471125 474134 477145 479150 484155 492161 498167 503169
      506172 515180 524185 527186 531184 538180
 0.01 519687 518672 515656 513648 510642 504636 497633 487633
      481636 476640 473643 471648 468648 464646 461645 458649
      452659 447669 439687 434698 430708 428712 427717 427724
      427730 428735 432738 431750 432756 432761 429772 427779
      428785 429792 428798 429803 432806 440808 443804 445797
      447785 451762 455751 462748 464745 478701 482693 484689
      489686 495687 499690 505697 509698 514696 518690 519687
 0.01 273828 274824 274820 269812 265809 264805 265802 257794
      252791 248791 245793 240796 235801 233806 233816 233822
      234832 238836 244838 247837 249835 251828 256829 259830
      264830 269831 273828
 0.25 525171 526169 525168 525166 524165 523163 521161 520160
      518159 517159 517158 515160 515161 516164 518166 518167
      519168 520170 521170 522171 523172 525171 525171
 0.25 465672 463661 461660 458663 454670 450677 447683 446693
      447698 449702 452702 455700 460694 463686 464678 465672
 0.25 458910 458903 456893 454886 450879 445875 443873 438874
      434878 428881 423880 419880 416882 413887 413898 416903
      420910 427921 431924 438927 444930 448929 451928 455923
      457920 458915 458910
 0.25 447041 444033 443029 440025 430013 424008 417004 408004
      401999 398991 397986 393986 389991 385999 384005 384011
      386016 388019 395021 402026 414036 425047 434049 443046
      446044 447041
 0.25 404794 403783 400776 398772 395766 394762 391760 385761
      381764 378767 378773 377787 373799 371811 368820 365831
      355852 350874 348879 344883 336889 329894 326898 323902
      321909 321913 320918 317924 316928 317935 320945 321952
      322960 324965 328964 332955 337945 343936 348926 362915
      374896 383879 393858 397848 398843 399837 399830 400820
      403809 404794
 0.25 225054 227064 229071 232075 249087 258092 268099 276104
      285112 289114 295113 297106 297099 295089 295084 292077
      286071 277063 270057 264047 258040 255035 253030 250026
      247022 242019 236018 231022 228029
 0.25 258815 255812 253809 251804 250800 246801 243805 241807
      240812 240815 242820 248819 252818 255818 258815
 0.50 456680 455679 454680 453681 452682 451684 451685 451686
      451688 453686 454684 455683 456682 456680
 0.50 452911 451899 450892 448889 443889 439891 432892 427892
      424894 421897 421901 422904 428909 434916 436920 440923
      443923 447922 449918 451913 452911
 0.50 428035 428021 426016 422013 411012 401006 399005 398001
      396994 390995 387001 386008 386012 388015 393017 397016
      400021 405025 414031 418034 422036 426036 428035
 0.50 401800 400789 395783 393778 390776 387776 385781 384789
      381798 373815 369829 365838 361846 358852 356856 356861
      357869 355874 352882 349888 344895 342895 339898 333903
      331910 329919 328925 328930 330939 334939 336937 340930
      345922 351917 357914 362909 364905 367900 372894 376887
      378879 382870 385861 387853 389844 392835 395826 399814
      400805 401800
 0.50 284093 285088 284083 280075 267064 262058 258050 254044
      248036 243031 239029 235029 231036 227045 227054 230063
      234069 241076 246080 253085 261090 269093 277097 282097
      284093
 1.00 397798 394789 390786 387791 387803 385808 382811 377820
      373830 369838 365849 362858 361872 365892 369891 371887
      375878 378868 381857 384845 387834 390824 394814 396807
      397798
 1.00 276081 274077 270075 266072 262068 255061 249054 243048
      239045 234047 232051 233059 238066 245073 254078 262082
      268084 272085 275083 276081
 1.50 384836 385830 382825 378830 373838 369847 367856 366866
      366874 368879 372877 374874 376868 378859 379853 381848
      383838 384836
 1.50 262076 261074 260071 258069 256067 253065 251065 249066
      248068 250071 251073 254075 256076 259077 262076
 2.00 375860 375857 375855 374853 374852 373851 372850 372851
      374853 373855 372856 372858 371860 371861 370862 370864
      370867 371868 373867 373866 374864 374862 375860 375860

24HR QP VT 30/00Z
 0.01 539172 540167 539162 538155 533144 530138 527133 531125
      536110 538103 538094 537087 534081 530077 524077 517085
      511095 505106 500116 498123 498128 499131 500133 498134
      493133 487134 489140 494149 504156 506161 509165 517175
      521178 526180 531181 534179 539172
 0.01 481644 481637 478632 472627 465625 455629 451630 447633
      441640 436646 433649 430651 417664 412669 409675 404690
      401697 400700 397702 384714 379720 380727 377730 361733
      352748 361803 352818 342833 339842 336849 331865 329868
      326868 321864 315860 308860 301865 297865 293868 291874
      287881 283888 279896 276905 275908 275914 275925 276928
      277934 277937 280935 282931 286930 290931 293935 297942
      306936 310931 313939 314945 313954 312958 312965 315973
      326984 340989 345991 348993 352002 363011 365017 369025
      375030 382033 388036 393041 395046 395049 393052 387050
      384049 380046 377044 373046 368045 366047 362047 358049
      354055 363057 367055 372055 376055 379059 380061 379063
      374063 369060 365062 366066 372071 377080 381076 382071
      384068 387065 390062 394060 399060 403058 407061 408059
      412057 414055 415052 418050 421049 429049 432048 437049
      444053 455062 458064 462065 465068 469068 474064 478059
      482052 486043 487038 487032 486027 483024 478019 469018
      464017 461015 458015 456013 455008 445973 433942 430933
      428921 428918 429915 433916 438918 439917 443909 443897
      441887 439875 436866 433856 429839 428826 431820 430814
      431809 431800 438782 443762 452723 457707 464692 469679
      474662 481644
 0.01 471108 472101 471098 470094 468090 462091 454090 445088
      443086 439086 435090 439096 444099 447102 451103 454106
      458107 460109 464110 469111 471108 471108
 0.01 449080 450078 450075 448073 448072 447070 445069 443067
      441069 440069 441072 441074 443077 444079 446080 448080
      449080 449080
 0.01 409105 408103 407102 407103 407105 407107 407108 407107
      409105 409105
 0.01 392165 390164 389164 387164 386166 386168 388167 390167
      392165 392165
 0.01 394149 394147 393144 391144 389146 390148 390149 392149
      394149 394149
 0.01 383195 383193 381190 378188 377187 373185 370184 367182
      365182 363182 362184 364187 367188 369190 372191 375193
      377195 381196 383195
 0.01 401975 401966 400962 401959 402943 401938 400936 398931
      394927 391924 387923 386925 382927 377929 371930 372935
      374940 379949 383961 391967 398973 401975
 0.01 389116 388113 386111 381108 376108 373111 368116 365111
      365103 365099 363098 361096 357095 354099 352107 348108
      346106 345102 344095 346089 347081 347073 345072 341071
      335073 332075 329077 327080 324085 327096 331100 334105
      335119 338125 342129 345133 350136 358136 363134 369133
      373134 376137 378138 379142 382141 382134 384129 389116
 0.01 368153 369151 369150 367150 366151 365151 363151 362152
      361153 360154 359155 358156 358158 359159 360159 362159
      364159 366158 366157 367155 368154 368153
 0.01 362069 362067 362065 361063 361062 359060 357062 357064
      357065 358067 360069 362070 362069
 0.01 338168 337167 337165 336164 334164 333165 333167 334167
      335168 337168 338168
 0.01 334058 334056 332055 330055 329055 328055 327057 328057
      330058 332058 334058 334058
 0.01 320091 313086 310083 308084 305082 303078 299077 295075
      290039 292033 291030 286023 283022 278022 272025 270029
      269034 267039 264040 253029 250026 246025 242027 240030
      233045 231049 231056 235062 239080 240089 246095 253098
      261101 268107 272109 274113 272133 276136 281137 285136
      288132 293128 297126 302129 306130 308127 308122 310120
      313113 310106 308103 308099 314098 320091
 0.01 302823 299815 293809 287806 280802 272800 269799 268794
      265790 262789 254791 250794 249798 248801 249804 244810
      240817 240821 241827 245833 253835 260836 266837 268839
      272841 273839 277832 281831 284831 289831 293830 300827
      302823
 0.25 462663 461656 458652 454652 450655 446661 441670 433684
      425698 421701 416702 410702 405705 400710 394717 379745
      375754 373759 373764 373774 374788 373796 372801 370804
      365810 361817 352834 346851 335882 331892 329901 326911
      325922 322938 321950 322956 325959 329961 332960 342957
      346951 350941 352932 354925 358906 363898 368891 373884
      379878 384874 387872 390872 395877 398879 402880 408880
      411879 415876 414869 412867 408866 405862 405859 402851
      403842 407836 412831 413825 413818 414806 414800 415795
      418785 420777 421766 423757 426750 436734 441726 445717
      451702 457687 460681 461673 462663
 0.25 409031 410024 410017 408008 405000 401993 397984 393978
      386974 379970 367961 362959 359960 355967 354974 354980
      357989 360998 364003 374015 381020 388023 403030 409031
 0.25 301093 300087 298084 290080 286077 282076 278073 276070
      280062 277059 274057 270055 267052 263045 259043 254041
      247041 242042 239045 238050 239055 241059 241065 242074
      245083 251088 255090 261091 265093 267095 269100 272102
      277104 282104 288104 292102 296096 301093
 0.25 301903 302899 300896 298894 296893 293893 291895 289897
      288900 288902 287906 288909 290912 292912 295912 297910
      299907 300905 301903
 0.25 284821 282815 280813 277810 273808 270806 265805 260806
      258807 260811 264814 268816 272818 275819 279821 283822
      284821
 0.50 455678 453675 452669 447672 445677 441686 437696 431707
      425717 423722 417723 412725 410723 407717 402715 397719
      395723 386741 383747 382754 381767 379780 379793 377798
      374805 367813 362822 358832 353858 355865 359866 364864
      367860 392828 398817 403806 406796 409784 411770 414757
      417747 423737 431730 437720 441711 446701 452688 454683
      455678
 0.50 404016 405011 404009 402002 397991 394985 390981 383980
      378978 368972 363972 360976 361984 362989 365996 369000
      376009 380013 384016 390018 397019 402018 404016
 0.50 346893 345885 343884 339888 337893 334904 330915 329921
      329928 328941 327949 328952 330953 334950 337945 341934
      344923 343908 345895 346893
 0.50 297090 296086 292083 287080 277080 273079 270077 265062
      261054 258049 254047 249046 244050 246058 245068 246074
      247078 251085 255087 258085 264084 269093 272098 279100
      288100 292098 294094 297090
 1.00 405748 405743 403739 401737 395743 390754 388765 387772
      387780 387791 386796 383801 378810 372817 368827 367833
      366839 364844 367848 374840 379832 385823 389814 394803
      395798 396791 400780 402769 404757 405748
 1.00 396007 395000 392993 389989 384986 378988 373990 373993
      374997 377001 381006 385008 392010 396007
 1.00 292092 291088 290087 286085 284084 282085 281086 277087
      277089 277092 279094 281096 285095 287095 291094 292092
 1.00 256073 256071 254070 253071 253073 254074 256074 256073
 1.50 390002 390001 390000 390997 389996 388995 387993 387992
      385992 384992 383993 383995 382997 382999 383001 383002
      385002 387003 388004 390002 390002

24HR QP VT 31/00Z
 0.01 524262 523259 520255 514252 509249 506244 503236 502230
      501224 502212 500195 497181 498170 499159 499151 499141
      503135 508134 512131 515130 516126 519113 518109 515106
      512105 510103 501095 499089 498082 504070 515072 519068
      523063 528051 531042 531031 528026 524023 522020 522015
      526010 530012 533018 536018 538016 541014 541004 538997
      530987 527987 526985 525977 526970 528965 528960 528950
      526941 526936 525933 522929 519928 516925 515917 514897
      513889 513884 514879 516862 517855 519847 522841 526839
      530843 532846 531851 531857 532869 533874 536875 539869
      544866 547868 549874 551877 551884 553894 554899 557900
      562894 563894 565897 569947 568955 568963 569971 569974
      568983 568991 565996 562996 559994 557995 557999 559002
      563005 565007 568013 568016
 0.01 452627 455630 457635 458644 460649 463664 465669 463673
      457680 451682 448687 444693 439702 437707 435712 431722
      421739 417748 414753 413758 413769 416776 421787 423801
      425807 430809 432814 430817 429825 429829 433832 437840
      434852 435860 437865 441873 446880 447884 446889 448894
      450894 448899 442907 439909 433909 426914 422917 418916
      414919 410922 404927 396932 392933 393936 396947 398953
      400956 406964 410966 410961 410955 413952 421954 428960
      443971 443990 443005 439016 439025 438029 440033 443036
      445039 420046 416053 412059 402075 390079 387085 382088
      380090 379087 375087 373083 372079 367075 364072 357073
      355077 354083 355089 354093 352097 351102 352108 355113
      358115 362116 365121 367137 364140 366144 368148 368153
      367158 356167 348170 337168 331166 326166 315166 309165
      306162 300155 296149 294147 293142 296140 300143 304144
      308147 316152 321151 323151 325148 326140 325135 322130
      318128 307126 302125 298122 282128 276127 272125 266119
      260111 256103 254095 260088 260085 257084 253082 248078
      240073 238065 235045 234042 234039 236038 239038 239035
      240029 245027 250028 261032 265034 266032 261025 258023
      255023 248022 241018 237011 234001 237983 247984 249992
      261006 263009 266011 269011 274013 280013 287014 291016
      293018 294023 293033 295037 298041 300043 302041 304038
      307036 311039 314057 312060 308059 307055 308051 304049
      300048 299054 301058 307077 316084 320086 323083 327076
      330073 329068 328065 326064 323061 323055 325050 333049
      337050 339045 342035 346027 345017 345009 347004 344980
      341976 339972 333964 323949 322945 320944 316946 312952
      303966
 0.01 303966 295975 288974 285970 284962 284958 283956 281951
      275952 274959 273965 264971 253976 245976 241976 239974
      236961 234954 236948 240943 244941 250939 254936 261926
      262922 262915 262906 262903 263899 263890 267884 271873
      271863 271855 270851 267850 261850 256848 252845 251840
      253834 252826 248821 243808 241804 239802 237804 236808
      242837 243843 239846 231847 226846 223840 222831 222823
      222816 220808 219801 219793 222787 224783 228778 234774
      239773 251769 265767 275770 281771 288770 291771 291774
      288777 276783 270786 266790 262795 261799 263800 267804
      270804 268802 273801 278802 287806 296813 301817 305821
      303825 300830 297832 297836 298841 300843 303847 305856
      306861 310866 314869 318870 319865 320859 320851 325842
      327837 328830 336819 345810 345806 343803 339799 337791
      332795 329798 323799 320796 317792 314787 313778 313773
      314770 317765 324755 331745 339736 344733 348732 353733
      357737 359742 358748 360751 364750 370750 381745 387741
      389737 388733 387728 388726 391720 397708 402697 405692
      407686 416666 418659 421653 425647 430642 434637 439631
 0.01 482969 481967 479966 476966 472966 470967 469969 467972
      467974 471975 474975 477975 479972 481972 482969
 0.01 448133 447131 447133 446135 446136 447135 448133 448133
 0.01 451080 451073 450066 445062 441057 437057 433063 431068
      431073 432075 436079 437081 441082 447083 451080
 0.01 428230 426220 422212 421207 421200 421195 418194 413202
      408208 405212 406217 412224 414234 416237 419238 423236
      426232 428230
 0.01 412110 413106 413101 411099 410096 408096 406095 404098
      402102 402104 402106 403109 405112 406114 408112 410112
      412110
 0.01 418006 418002 415001 412999 410005 408007 404010 401012
      401016 404021 407023 411026 413025 414022 413017 415012
      417008 418006
 0.01 395184 395181 394179 392176 391174 388171 386170 384170
      384173 385177 386180 388181 390183 393186 395184
 0.01 397143 397138 396131 392130 390132 386136 383138 379139
      377141 378146 382147 385150 389148 391146 395145 397143
 0.01 388201 388196 386194 383190 379185 375181 371178 365180
      362184 366187 370185 375187 378192 380198 383203 388201
 0.01 390121 389116 387113 384110 378110 375111 372113 372118
      375121 375125 375130 378129 381126 386125 388123 390121
 0.01 395071 396069 396066 396064 395062 393064 393066 392068
      392071 394073 395071
 0.01 285831 284830 282830 280831 280832 280833 282833 284832
      285831
 0.25 557125 557114 557106 553100 547101 543103 542108 543116
      543122 542127 541130 541135 543141 546147 550151 552154
 0.25 534187 536178 535169 533164 529161 522152 518150 516148
      513149 512154 515160 519170 517175 513178 510182 510189
      513195 516199 519203 525204 529204 531202 532197 534187
 0.25 446661 446657 445655 441655 438657 434659 430663 427666
      426671 426676 427680 428680 431679 434676 437673 440670
      443666 446661 446661
 0.25 418884 417870 415865 414856 411851 407845 406838 405829
      406822 408814 410803 407795 402791 398790 394790 392788
      391786 387787 388793 387800 385805 382811 380816 378822
      374823 368824 363824 352828 353833 352837 349843 345853
      340865 337871 336876 334883 331889 327893 325898 322912
      323919 326923 338926 348923 351928 351933 349935 348941
      349947 352953 354958 357973 360978 365982 373988 377993
      381994 383992 387989 390984 384956 382949 380943 376938
      372934 372929 373926 377920 383912 387906 391903 400897
      412892 417889 418884
 0.25 335093 336091 336088 336086 335086 334085 332085 330085
      330086 328087 326089 326090 325091 325094 326094 327095
      329095 331095 332095 333094 335093 335093
 0.25 307106 306097 302090 298083 294077 288072 283070 279072
      278070 277065 272058 266054 263051 261051 259053 259058
      256065 258069 260071 265076 279082 287095 289103 292106
      295107 303108 307106
 0.25 308918 309911 305909 302909 299914 298918 298924 299928
      301934 303938 305939 307935 308928 307922 308918
 0.25 270822 268821 268820 266819 265819 264818 262818 262817
      260816 260815 259815 257814 255815 254816 255817 255818
      257819 259819 259820 261820 262821 263822 265823 267824
      269824 270822
 0.50 400876 400871 398867 391861 387860 384862 377867 370873
      366880 367885 370887 376887 379884 382877 386873 391873
      398877 400876
 0.50 382974 382969 380961 377954 372947 366945 363943 361943
      359952 360961 361969 366974 373977 377979 382977 382974
 0.50 380900 381895 378895 376898 375900 374902 371904 369907
      368909 370911 372911 375910 376907 378904 379902 380900
 0.50 362847 362845 361844 359845 358848 358849 357850 358851
      360852 361850 361849 362847
 0.50 299101 299099 299097 298095 297094 296094 295093 293093
      292094 292096 292097 293098 294100 295100 296102 297102
      299101
 1.00 376967 375965 373963 372961 371959 371958 370956 369956
      368956 366955 366956 365958 364961 365963 365965 365967
      366968 367970 368970 370970 371971 373970 375970 375969
      376967

$$





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