Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 272158
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
557 PM EDT MON JUL 27 2015


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

FLORIDA

WEAK SHEAR AXIS IS FCST TO REMAIN ACRS NRN FL WITH AXIS OF ABOVE
NORMAL PWS STAYING ACRS THE NRN PORTION OF THE STATE.  COMBINATION
OF THE TWO WILL FAVOR WIDESPREAD SHWR/TSTM ACTIVITY ACRS THE NRN
PART OF THE STATE.  STILL SOME INDICATION OF WEAK CIRC JUST OF THE
WEST COAST OF FL THAT SOME OF THE MODELS DRIFT TOWARD THE COAST
AND WEAKEN DURING THE PD.  THE PROXIMITY OF THE LOW TOWARD THE
WEST COAST MAY KEEP HEAVIER AMOUNTS ALONG THE WEST COAST NEAR AND
NORTH OF TAMPA.  THE VERY HIGH PW VALUES AOA 2.25 INCHES COULD
LEAD TO ISOLD VERY HEAVY RAINFALL AMOUNTS ACRS THIS AREA.

NORTHERN ROCKIES INTO THE NORTHERN PLAINS AND TOWARD THE UPPER MS
VALLEY

MODELS CONTINUE TO SHOW RATHER GOOD AGREEMENT WITH THE
AMPLIFICATION OF THE UPPER TROF MOVING FROM THE NORTHERN
INTERMOUNTAIN REGION AND EVOLVING INTO A DEEPENING CLOSED LOW ACRS
NE MT INTO SRN CANADA MON NIGHT INTO TUES.  SOME VERY HEAVY RAINS
ARE ANTICIPATED WITH THE RAPIDLY EVOLVING COMMA HEAD WITH COUPLED
JET DYNAMICS..STRONG TROWAL COMING INTO PLAY.  SOME OF THE GLOBAL
MODELS LOOK A BIT EXTREME WITH QPF AMOUNTS...LIKELY DUE TO POOR
HANDLING OF DOWNSTREAM CONVECTION ROBBING INFLOW...BUT STILL COULD
SEE AREAL AVG AMOUNTS OF 1 TO 2+ INCHES GIVEN THE ABOVE.   FARTHER
TO THE EAST---FRONTAL/PRE-FRONTAL CONVECTION LIKELY TO ENHANCE
MONDAY AFTERNOON INTO MONDAY NIGHT ACROSS PORTIONS OF THE NORTHERN
PLAINS IN A REGION OF VERY STRONG FRONTAL CONVERGENCE.  THERE ARE
TIMING DIFFERENCES WITH CONVECTIVE INITIATION AND RATHER LARGE
SPREAD WITH QPF DETAILS IN GENL IN THE WAA LIFT AHEAD OF THE
ASSOCD FRONT ACRS THE UPR MS VALLEY MON NIGHT AND TUE. SOME OF THE
ISSUES ARE PROBABLY TIED TO INITIAL WEAK MCS OVER IA WHICH IS NOT
BEING HANDLED WELL BY MOST HI RES AND GLOBAL MODELS.  THIS MAY
HELP TO IMPEDE NWD MOVEMENT OF WARM FRONTAL BNDRY DURING THE
OVERNIGHT PD WITH DVLPG NOCTURNAL CONVECTION WITH INCREASING LOW
LEVEL JET HOLDING PCPN FARTHER SOUTH.  OF MODEL CHOICES...THE 12Z
WRF ARW AND NMM SEEM TO BE BEST FIT CONCEPTUALLY..WHICH WOULD
PLACE HEAVIER QPF EMPHASIS ACRS SRN MN INTO NRN IA..SW WI.

NORTHEAST---MID ATLANTIC INTO THE CENTRAL APPALACHIANS AND OH
VALLEY

WEAK NW FLOW PATRN ALONG WITH MDTLY HIGH PWS STRETCHING NEWD FROM
THE TN VALLEY/MID ATLC AND THE NE COAST..WILL SUPPORT SCTD MAINLY
DIURNAL CNVTN.  WEAK SFC FRONT SLIPPING SEWD FROM THE NE AND MID
ATLC MAY PROVIDE SOME FOCUS...BUT IT IS EXPECTED TO BECOME
INCREASINGLY DIFFUSE.  AS A RESULT...CONFIDENCE IS RATHER LOW WITH
QPF DETAILS ACRS THIS REGION AND HEAVE TAKEN AN ENSEMBLE APCH TO
QPF AMOUNTS WITH SOME INPUT FROM HI RES MODELS.

SOUTHWEST NEWD INTO THE CNTL HI PLAINS...

WEAK RETURN FLOW MSTR AROUND UPR RIDGE INTO THE SOUTH WILL SUPPORT
SCTD MAINLY AFTN/EVENG TSTMS FROM SRN AZ/NM NEWD INTO ERN CO/KS.
MODELS ARE IN RATHER GOOD AGREEMENT WITH THE MAIN PCPN AXIS.
WITH RATHER WEAK FLOW IN LOW/MID LEVELS...AND LACK OF ANY STG
FORCING ALOFT...MODELS ALL AGREE ON MAINLY LIGHT TO SPOTTY MDT
AREAL AVG AMOUNTS WHICH SEEMED REASONABLE AND GENLY FOLLOWED.


DAYS 2/3...

***MIDWEST STATES TO THE GREAT LAKES***

A WELL-DEFINED CLOSED LOW AND UPPER LEVEL TROUGH ARE FORECAST TO
TRACK FROM SOUTHERN MANITOBA AT THE BEGINNING OF THE PERIOD TO THE
HUDSON BAY BY THE END OF DAY 3.  THE MODELS CONTINUE TO AGREE ON
THE PROGRESSION OF THE ASSOCIATED SURFACE COLD FRONT FROM THE
UPPER MIDWEST TO THE EASTERN GREAT LAKES AND EVENTUALLY NEW
ENGLAND.  WE STAYED CONSISTENT IN FOLLOWING A BLEND OF THE
GFS/ECMWF/BIASED CORRECTED MODEL FOR BOTH DAYS WITH QPF PLACEMENT,
ALONG WITH LOCAL ADJUSTMENTS.  ALTHOUGH RAINFALL AMOUNTS ON THE
ORDER OF AN INCH ARE LIKELY ACROSS PARTS OF WISCONSIN AND ILLINOIS
ON DAY 2, IT WILL PROBABLY FALL BELOW THE THRESOLD FOR ISSUING A
SLIGHT AREA FOR EXCESSIVE RAINFALL.  IF AMOUNTS TREND UPWARD IN
LATER MODEL RUNS, IT MAY EVENTUALLY BE NECESSARY TO HAVE A SLIGHT
AREA FOR THIS REGION.


***SOUTHERN ROCKIES/SOUTHWEST***

THE WESTERN PORTION OF THE STRONG COLD FRONT CROSSING THE WESTERN
AND CENTRAL U.S. IS FORECAST TO SLOW DOWN AND EVENTUALLY STALL
OVER THE SOUTHERN ROCKIES AND NORTHERN ARIZONA.  THE SUBTROPICAL
RIDGE OVER TEXAS AND NORTHERN MEXICO WILL BE THE MAIN REASON FOR
THIS FRONT BECOMING QUASI-STATIONARY.  MONSOONAL MOISTURE ON THE
WESTERN SIDE OF THIS RIDGE WILL ADVECT NORTHWARD AND INTERACT WITH
THE FRONTAL BOUNDARY, PRODUCING NUMEROUS SHOWERS AND STORMS OVER
PARTS OF ARIZONA AND NEW MEXICO.  A SLIGHT AREA OF EXCESSIVE
RAINFALL WAS MAINTAINED OVER PARTS OF NORTHERN MEXICO FOR THE DAY
3 PERIOD GIVEN 1 TO 2 INCHES OF RAINFALL POSSIBLE ON DAY 2 WITH
ADDITIONAL HEAVY AMOUNTS ON DAY 3, ESPECIALLY OVER THE HIGHER
TERRAIN.  SCATTERED CONVECTION WILL ALSO BE POSSIBLE OVER THE
SOUTHERN MOUNTAIN RANGES OF CALIFORNIA.


***DEEP SOUTH TO THE SOUTHEAST COAST***

SCATTERED AFTERNOON AND EVENING SHOWERS AND THUNDERSTORMS ARE
EXPECTED ACROSS MUCH OF THE DEEP SOUTH AND SOUTHERN APPALACHAINS
ON THE EAST SIDE OF THE RIDGE OVER THE SOUTHER PLAINS.  ISOLATED
ONE INCH AMOUNTS ARE POSSIBLE, WHICH IS ABOVE THE AREAL AMOUNTS
FROM THE WPC FORECAST.  OUTFLOW BOUNDARIES AND LOCALIZED MOISTURE
CONVERGENCE, ALONG WITH DAYTIME HEATING, WILL BE THE MAIN FORCING
MECHANISMS FOR ASCENT.


***FLORIDA***

THE REMNANTS OF A STALLED FRONTED BOUNDARY OVER THE NORTHERN GULF
OF MEXICO AND EXTENDING EASTWARD ACROSS THE FLORIDA PENINSULA AND
A SURFACE TROUGH AXIS WILL BE THE FOCUS FOR PERIODS OF MODERATE TO
HEAVY RAINFALL FOR THE MIDDLE OF THE WEEK.  MODELS PROJECT PW
VALUES ON THE ORDER OF 2.0 TO 2.3 INCHES, ALONG WITH SOME WEAK
VORTICITY ALOFT AND MODEST VERTICAL VELOCITIES.  IT APPEARS THAT
THE HEAVIEST RAINFALL AMOUNTS WILL LIKELY MATERIALIZE OVER THE
OFFSHORE WATERS OF THE GULF OF MEXICO.  EVEN WITH 1 TO 3 INCHES OF
RAIN POSSIBLE OVER LAND AREAS, IT SHOULD NOT BE ENOUGH TO WARRANT
ANY EXCESSIVE RAINFALL AREAS AT THIS TIME.


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

SULLIVAN/HAMRICK

24HR QP VT 29/00Z
 0.01 562993 554972 546952 537931 532922 524917 507909 499905
      491902 477896 470894 461894 450895 444895 440894 431892
      426893 420894 410895 399892 394890 391890 389892 387889
      388884 391862 389850 388837 390816 392805 397798 398792
      398785 397777 397769 401758 405750 413730 414725 417720
      419716 421716 422718 424720 428720 435717 431736 434744
      437750 440753 450750 454757 458754 461751 461737 463725
      465719 468715 480698 488691 494684 496674 494658 492651
      489648 483645 475643 468640 463635 459634 455634 450636
      446639 441642 438646 431654 426662 419683 417693 417697
      416699 413703 407709 401716 391729 380743 372760 370765
      367768 364772 359775 357787 357792 354796 349804 343811
      334817 328818 323816 319817 316819 312820 308819 303812
      301807 302803 315792 318789 322785 325782 328777 330773
      332768 333757 332744 329740 326736 323734 317734 312738
      309741 303748 298756 293761 289767 280780 274789 270797
      267806 266811 262812 257814 255817 255824 257829 258836
      261840 266847 272853 276857 280858 286856 289854 295846
      301846 304848 306851 309854 320854 323856 325860 330867
      334874 338882 341884 345884 351882 357881 363881 367885
      370889 372891 372895 370906 369912 369920 370932 371933
      375927 379918 382908 385898 386895 388894 388899 390904
      390908 393914 391913 390918 392923 393929 396938 398943
      395948 390957 384964 379973 366988 360995 356004 340041
      334046 330048 325046 318045 313045 309043 304040 300040
      296046
 0.01 296046 291045 284043 274040 269040 262041 255040 250038
      241034 237033 234035 231039 229045 230052 233057 241063
      247071 254079 263086 272091 274094 277096 297107 302109
      307112 313120 317120 322117 324115 325111 326103 321084
      315082 313078 313071 317067 323069 325075 328080 330085
      332092 335097 338101 340106 342118 344123 346118 351114
      349109 346105 344099 343092 345086 344079 337071 333067
      335063 339061 342063 347070 357067 362066 369066 371066
      372062 373053 376049 380044 385043 389039 399035 404034
      407029 410025 414029 426042 431040 434040 438044 441049
      442054 440059 439066 434073 436076 438077 444078 453084
      455088 453093 445098 441101 440108 443115 446118 456125
      458131 454133 447137 447148 447150 450151 457152 460153
      464149 476147 479148 481150 486154 488155 490157 494156
      502152 506148 508143 513131 517127 520125 521125 523121
      525116 530104 533097 534090 536083 537073 539065 541058
      545047 547042 548036 553026 555018 557010 562993
 0.01 456001 455999 454998 453996 453995 451994 450993 448995
      448998 450999 451000 453000 455002 456001
 0.01 401991 401986 400982 395986 391990 387995 383999 380004
      378010 376013 377017 381013 386008 390004 394000 398995
      401991
 0.01 303922 301920 299918 299916 297914 295914 293916 293918
      293920 294922 295923 297923 299923 301922 303922
 0.25 543003 543991 541979 539970 538965 535960 523960 516958
      510955 502955 496951 492952 491957 489960 486958 480955
      476951 471944 472937 478932 478926 477922 473915 470912
      466911 453907 440902 432900 422900 415905 407907 404909
      406912 411913 414916 415920 414926 411928 407949 407953
      409955 412957 414961 419968 422970 423974 425982 426985
      429987 432983 434979 435969 436963 438960 442959 445960
      456966 463969 467975 471983 472988 472994 467013 463019
      459022 456025 455029 456033 459035 462038 463043 464048
      464055 459064 458067 458072 465084 467094 468104 474110
      481114 489115 497114 507109 513104 517096 529058 533051
      536042 538034 540024 542012 543003
 0.25 501949 499948 497949 499950 501950 501949
 0.25 467664 467659 465656 459658 452668 449674 448680 455688
      456700 456705 455712 453719 454723 456722 459718 461711
      460704 461699 462695 460692 459684 460677 463672 466667
      467664
 0.25 376783 371785 368791 363798 361805 360810 358819 361821
      365821 369820 371817 372808 372803 374799 375790 376783
 0.25 313098 314096 314094 313092 311090 309090 308092 308094
      309095 309096 310098 311098 312099 313098
 0.25 303095 301084 298078 290073 285072 282073 276073 273070
      269068 268072 272079 278086 285091 292096 298099 303095
 0.25 297828 295817 294811 293807 288804 283805 277811 272818
      267825 266829 268835 272841 279846 283846 287845 292839
      296830 297828
 0.50 532034 533009 532005 530002 526999 517988 512983 509983
      501985 494987 487987 482988 477992 473999 474006 472014
      465027 464030 464035 467040 471046 471051 470057 467063
      463067 473096 477102 482105 490107 495107 501105 506101
      510096 513090 518072 524060 527052 529045 532034
 0.50 462930 462925 460920 455916 443909 437905 431903 426903
      422905 422912 422917 421921 417928 414935 412942 420954
      422958 425960 431957 439955 447956 456956 459953 460949
      461932 462930
 0.50 291824 290818 288814 286812 282817 277821 274824 272830
      273837 277840 281841 285841 289837 291830 291824
 1.00 522038 522032 521023 519017 516015 507019 503021 501021
      497018 491017 486017 483018 479022 478028 479032 481032
      485034 482038 479042 481047 481051 478056 474064 472066
      471069 473075 476084 482093 486096 490097 496098 500096
      505088 510079 514068 519057 521052 521044 522038
 1.00 446930 443921 439911 436908 432907 429908 428914 428921
      426925 421926 419931 419933 420934 425932 427935 426943
      428949 435949 442949 445944 444937 444934 446930
 1.00 286833 286831 286829 285829 284827 283827 282826 280827
      279828 278828 277830 277832 278834 279835 280836 282836
      284836 285835 286834 286833
 1.50 513048 513039 511032 510029 507029 502031 498034 494038
      491044 489050 483060 479065 477069 477074 485085 488090
      492092 498090 500085 506073 509065 510058 513048
 1.50 440942 439940 439935 439930 438928 437923 436921 434918
      432919 432923 431927 431930 431934 432938 433941 435943
      438943 440942
 2.00 503067 500062 498056 493057 489060 485065 482070 483076
      488080 491084 495084 496082 499077 502070 503067
 2.00 502049 503047 503044 502042 501039 500038 499039 497041
      496044 495046 497049 498051 498052 499051 500051 502049
      502049

24HR QP VT 30/00Z
 0.01 467600 475620 475634 474645 472658 470668 468681 468694
      468707 466720 462729 457737 453741 448743 442750 438749
      436746 433742 432735 431726 431718 431708 432694 433682
      432667 434657 437646 438641 440629 452606 467600
 0.01 561993 561982 559976 556971 551970 535966 532954 532945
      533940 536927 536919 536912 534906 531902 532894 531891
      527883 522876 520872 517870 513868 509865 511861 515859
      518850 519843 519835 519832 517829 513825 511821 510816
      511812 512799 505796 499794 480801 470803 465803 460802
      451804 446805 443806 438808 435810 428814 415823 405831
      398838 391844 381849 377847 376844 376840 381830 384821
      387813 391806 394798 395796 391791 388789 387783 382777
      375771 370764 366763 361764 356767 354772 359781 355783
      351784 341790 334795 327800 320807 316809 311810 306809
      304808 302804 300795 296787 294785 289784 284785 282787
      278788 275791 273794 267795 262795 257796 253800 252802
      251806 252814 255818 258821 257826 256838 257845 258850
      264858 269864 272867 275868 294870 295876 294880 291889
      291899 291905 292909 297918 303923 308926 313927 318924
      321920 325911 329908 331908 337900 342902 347905 350907
      352909 355914 357919 360927 362932 362938 364942 364948
      364960 364969 363975 362980 352996 345004 341015 341023
      339028 337034 333038 328043 321048 312053 308055 305055
      300058 294058 284058 276055 269051 255044 251042 246040
      240040 237040 234042 231046 230053 231065 232068 233070
      237073 253083 259089 265094 280105 292115 298120 304124
      312126 315127 318130 321134 324141 325147 322152 317153
      316159 325164 343175 347177 352178 355177 357173 361166
      360154 360149 358145 358139 359133 360129 359122 356118
      354115 352109 353103 355100 357093 360088 364084 368082
      381083 390082 397078 403072 409063 412059 413053 410046
      403046 399043 393029 394012 395999 399989 403983 411973
      414969 423956 431948 442938 446934 452931 466925 474925
      477925 480927 484947 485956 486965 487977 489985 489989
      488995 485000 480007 476014 474021 474031 477040 480047
      484052 489055 497057 505058 511056 516054 526045 534035
      543023 546017 549010 557002 561993 561993
 0.25 458619 461623 462636 462643 462648 462655 459658 455656
      453654 449651 447648 445641 446636 447631 452623 458619
 0.25 549987 548981 545979 537978 530975 522974 512975 508980
      508988 509993 510998 509001 505011 500016 495023 491030
      492037 495039 503039 510036 515033 522026 527021 536008
      545994 549987
 0.25 523955 524949 524943 523935 522925 522915 522904 520897
      516892 511892 507896 504901 502906 504911 506919 506924
      508932 507942 508957 511962 517964 523955
 0.25 504805 500804 496807 493809 488811 484812 481815 478820
      478822 483824 488822 492820 496818 500816 503811 504806
      504805
 0.25 486876 487865 485857 483850 479846 469833 464829 459829
      448831 445836 443839 440843 440847 441851 441856 443858
      444862 441864 432870 423876 416882 413886 410892 406901
      403913 399922 395928 392933 386943 382945 379952 375962
      367983 363993 358000 352013 350021 350028 349035 346041
      344046 340049 330052 325055 324058 325063 325070 320079
      315079 311078 304076 293072 283067 273063 257053 248048
      244047 239047 237050 238052 241057 247067 261080 269086
      277091 292103 310118 316120 321118 329111 334110 340112
      343110 344104 346091 347083 350078 371068 382065 390060
      393057 394050 386046 382043 380037 383029 385021 386011
      389998 392984 398975 409959 415951 422945 449908 455900
      462893 478883 484879 486876
 0.25 452718 452713 451711 448709 445708 442709 440711 439714
      439719 440721 442725 444727 446727 447726 450723 451721
      452718
 0.25 424848 422843 418843 411847 404853 398858 391864 389868
      388874 392878 397878 404877 411872 417865 419862 418858
      423851 424848
 0.25 385799 378794 373792 369792 350798 330808 314817 308819
      303818 299816 296812 291805 288802 283800 277799 273803
      273809 272815 267821 264824 262829 261836 263842 265847
      267851 271853 275854 285851 291852 294856 300864 309880
      313884 317887 321889 326889 328886 328880 326866 326859
      326853 327848 328844 327841 322841 321838 322834 326830
      336825 338825 338828 340835 342839 346840 351840 355838
      359834 362829 366820 380809 385804 385799
 0.25 308892 307890 307888 306886 305885 305886 304888 305890
      305892 306894 307894 308892
 0.25 263800 261800 259800 258801 257803 258804 259805 260805
      261805 263803 263802 263800
 0.50 539989 537984 534984 526986 523987 520990 520002 514008
      509014 507019 508024 512025 516023 522018 527013 530007
      532002 533997 536994 539989
 0.50 472853 472850 471850 470848 468849 466849 465850 464851
      465852 466853 467854 468854 470854 472854 472853
 0.50 463878 462873 458871 453870 449872 433879 426884 420889
      414897 410905 408916 407928 405939 412942 417940 421938
      426933 437918 442910 446901 450892 456887 461882 463878
 0.50 401949 404945 402942 399947 398948 397949 396950 395952
      395953 394954 393956 391956 390959 391961 391962 393961
      394961 395961 396959 396958 398956 398955 399954 400952
      400951 401949
 0.50 388986 387979 386973 382971 378972 375976 373983 370992
      364000 359007 355018 354025 355031 354039 352044 349053
      347057 348061 350066 352068 356070 362069 365065 368062
      372059 379056 382051 379049 376047 375044 373040 371036
      371030 377022 381013 384002 386990 388986
 0.50 363811 362809 358812 355815 352819 350822 348827 349833
      352833 355830 356826 358821 361816 362813 363811
 0.50 340098 340093 339091 338089 337086 336083 334081 332079
      330079 328081 328085 329088 330090 332092 335094 336096
      338098 340098
 0.50 332058 332057 330057 332058 332058
 0.50 325102 325096 323091 316086 306083 298079 280071 271066
      264061 248052 245051 244053 246056 253062 258069 265075
      272082 279087 294097 309109 313112 317112 323106 325102
 0.50 318866 318859 315855 309852 307847 306841 304831 301826
      298823 294817 289808 283804 277817 270822 265827 264833
      264837 268845 271848 277848 285845 289842 294842 298851
      302859 308864 310869 313871 316870 318866
 1.00 436906 434903 431907 429910 427914 424919 422922 421925
      423928 426925 429921 431918 434914 436909 436906
 1.00 428890 427892 422899 422897 424894 428890
 1.00 363054 363052 363051 361050 360049 359049 358049 356051
      356053 357056 357057 359057 361057 362056 363054 363054
 1.00 285835 285832 284829 283825 282822 279822 274823 270825
      267828 266833 267839 270843 274843 279842 282840 284837
      285835
 1.50 279836 280834 280832 279830 278828 276827 274827 272827
      271828 269829 268831 269833 269835 269836 270837 271838
      273838 273839 275839 277838 279837 279836

24HR QP VT 31/00Z
 0.01 381873 385865 389858 394851 399845 404839 410834 416830
      424825 439819 443817 446815 456813 472809 491806 509803
      517801 520800 526796 530789 532786 533779 533776 531770
      529764 526761 512759 506759 506755 508754 511750 513743
      516741 518737 522728 524716 523707 521702 517698 514696
      511686 506677 500671 492669 485668 481667 476669 468673
      458677 453678 451681 446690 440697 435705 430711 424718
      418724 405738 391754 384760 376766 362777 356783 353785
      348787 334782 327788 322795 319799 314802 310804 305803
      300804 296802 290801 286799 283796 278796 266797 261798
      258800 255804 256810 257834 257844 257856 258868 259874
      260878 266899 271908 273913 276915 284920 285925 286933
      289942 288947 287954 292962 296968 306969 318969 323969
      327971 334976 341980 344986 346992 348001 347006 345011
      341029 339042 333048 326056 322062 319064 315065 309065
      303065 299063 281056 274052 266049 256046 246045 240044
      234046 232049 232053 233058 236062 238066 242069 248075
      257081 271093 283104 295115 301120 309125 318128 321129
      320131 316131 314135 316138 320141 323145 322153 319155
      318159 326165 333170 338173 342177 350184 368193 374195
      377197 385203 389205 392208 395210 399212 403209 400206
      394199 380187 374181 369174 366165 365160 363156 356154
      354150 349145 346142 342138 340133 345132 351133 360132
      363129 365125 366123 365118 362110 363105 366101 372095
      378088 379084 383079 389067 396063 402063 406062 410060
      415057 418053 420048 419043 417038 413035 408034 409031
      411026 414022 415009 411002 408998 405998 399997 400992
      400978 398968 396963 393959 387953 381949 377945 375940
      371932 366920 366915 368911 371900 374891 381873 381873
 0.01 547947 547936 544925 539906 532890 529880 525873 522865
      518863 515863 512865 510866 509862 508849 507838 506832
      505825 502817 499814 496814 493815 491818 489828 489840
      489847 488851 485872 483884 483894 484904 487912 495929
      498936 502943 511957 518973 526987 529989 532990 537990
      539987 543980 546971 546963 544956 544952 546950 547947
 0.25 522955 521949 518945 516942 514938 511934 509930 505926
      506930 509936 512942 514945 517949 519952 522955 522955
 0.25 475705 474701 470698 465700 457704 453706 448706 442711
      439716 440721 442725 445726 449725 455720 457717 460715
      468713 472711 474707 475705
 0.25 423806 420803 417804 408809 402813 394819 388825 382832
      382836 384835 387833 392831 399827 406821 412815 419811
      423806
 0.25 393794 388787 390784 388780 386779 384779 376784 371788
      363796 358801 356807 353814 350819 346825 344831 340847
      338854 335859 333861 329861 324859 322851 321846 321843
      328833 330826 327820 321818 315816 308814 301814 294813
      289810 283807 278805 272803 266805 262811 262819 261826
      261835 263842 266848 270854 272860 274867 277875 278884
      278893 280900 283905 288910 290911 294911 297908 300906
      303900 305893 310890 315887 318889 318892 319906 323912
      327915 330913 330910 332902 334895 339891 343886 347881
      354870 357863 362859 375838 385809 390801 393794
 0.25 385054 383047 380044 378042 377038 378029 383016 385011
      386002 385987 384980 381973 378968 373964 370965 369968
      367974 366983 364988 360002 357016 354031 345056 340067
      336072 331075 322080 311082 307082 303080 298078 287073
      277068 272066 265064 255059 244054 240055 240059 241061
      250068 259074 270081 280085 290091 297100 305108 314115
      320115 325112 330110 334112 338112 343114 345114 347110
      349104 352098 359090 370073 374063 377059 383056 385054
 0.50 378006 379001 379996 376990 374988 371987 368994 366001
      364009 361026 355038 353048 350054 348060 345067 343075
      341079 338079 332080 325083 313087 311092 312099 312105
      315106 318103 325099 327098 332098 338101 342102 345096
      349089 353084 361076 365070 366061 365045 366036 367028
      373016 378006
 0.50 366822 363820 359821 355824 352826 350831 348835 347840
      347846 349848 352846 354844 357840 360836 362832 363827
      365824 366822
 0.50 319834 319827 316824 311822 305821 299822 294821 286814
      279810 274808 267810 264813 263818 262831 264838 266843
      272849 275853 277860 279871 281877 282883 283890 286895
      289896 292891 295880 303876 307872 307865 307858 308853
      315845 319834
 0.50 300086 298082 294080 290079 285076 281075 278073 274075
      278078 281081 284084 288086 291088 297088 300086
 1.00 361058 362054 361052 358050 356053 355055 355058 356062
      355064 353069 355071 355069 358067 360065 360060 361058
 1.00 300867 298853 298847 297839 293835 289831 282823 279818
      275815 272814 267819 265823 265831 267837 270841 280848
      282852 283860 286866 292867 300867
 1.50 284842 282836 280833 278830 276824 272823 267825 266829
      267833 271837 273839 277842 281844 283843 284842


$$





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