Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 282143
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
543 PM EDT SUN MAY 28 2017


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 29/0000 UTC THRU JUN 01/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

...TEXAS AND LOUISIANA...

AT MIDDAY THE CONVECTION IN THE SOUTHERN U.S. HAD REACHED A
DIURNAL MINIMUM IN COVERAGE. A SQUEEZE PLAY WAS UNDERWAY BETWEEN
FLAT RIDGING ACROSS THE GULF AND ELONGATED TROUGHING CENTERED OVER
THE MIDWEST/GREAT LAKES. THE CONFLUENCE ZONE BETWEEN THESE
FEATURES...MARKED BY A STRENGTHENING UPPER JET CIRCULATION...WILL
PROVIDE THE DEEP LAYER SUPPORT FOR RENEWED THUNDERSTORM
DEVELOPMENT THIS AFTERNOON AND LATEST RADAR NOW SHOWS EXTENSIVE
CONVECTIVE DEVELOPMENT FROM EAST OF THE BIG BEND TO NORTHEAST TX
WHERE WPC MESOSCALE DISCUSSION #281 HAS JUST BEEN ISSUED. WHERE
FORCING OVERLAPS WITH INSTABILITY AS AFFORDED BY OUTFLOWS AND
DIFFERENTIAL CLOUD COVER...WILL DETERMINE THE LOCATION OF
ORGANIZED CONVECTION FROM EAST TEXAS EASTWARD. MODELS ARE FAIRLY
CONSISTENT IN A LOCAL MAXIMUM OF RAINFALL OCCURRING OVER THE PINEY
WOODS IN THE VICINITY OF LUFKIN TX...AND EXTENDING BOTH WEST AND
EAST FROM THERE. THE SOLUTIONS ARE VARIABLE AS TO THE INTENSITY
AND BREADTH OF THIS RAINFALL...HOWEVER...PERHAPS OWING TO
MID-RANGE DEEP LAYER ASCENT MAGNITUDES AND POOR LAPSE RATES IN THE
LOWER REACHES OF THE MID LEVELS.

THIS PROBLEM OF WARM AIR IN THE SOUNDINGS...NEAR THE TOP OF THE
BOUNDARY LAYER AND INTO THE LOWER PORTION OF THE MID
LEVELS...BECOMES MORE PRONOUNCED WITH WESTWARD EXTENT. DEEP LAYER
FORCING WILL NOT BE PARTICULARLY STRONG WITH WESTWARD EXTENT...BUT
CONVERGENCE AHEAD OF THE SAGGING COLD FRONT...ALONG WITH SOME
BOOST TO CONVECTIVE INITIATION FROM THE HIGHER TERRAIN OF THE
SIERRA MADRE...MAY BE SUFFICIENT FOR SCATTERED CONVECTION TO
FORM...WHICH WOULD THEN HAVE POTENTIAL TO PROPAGATE OUT AND FIND
THE POCKETS OF DEEPER MOISTURE AND STRONG INSTABILITY THAT WILL
DEVELOP OVER SOUTH TEXAS. THIS ACTIVITY MAY BE FURTHER AIDED BY A
SLUG OF RICH MOISTURE SEEN IN SATELLITE TPW IMAGERY AND IN THE
MODEL MIXING RATIO FIELDS...MOVING ONSHORE THIS AFTERNOON AND
EVENING. GIVEN THE NUMBER OF FAVORABLE FACTORS...ALONG WITH
CONSISTENT SOLUTIONS FROM THE HI-RES MODELS...ESPECIALLY WRF-ARW
AND NSSL WRF...WE DO ANTICIPATE THAT CONVECTION WILL BECOME
WIDESPREAD AND CONSUME THE AVAILABLE INSTABILITY IN SPITE OF THE
OBSTACLES IN THE LOWER PORTION OF THE SOUNDINGS...BUT ARE LESS
CERTAIN AS TO HOW QUICKLY THIS EVOLUTION WILL TAKE PLACE.
ALSO...IT MAY BE THAT EVENING CONVECTION SENDS OUTFLOW BOUNDARIES
THAT THEN SPUR A RE-INVIGORATION OF ORGANIZED CONVECTION ALONG THE
COASTAL FRONT OVERNIGHT...FROM DEEP SOUTH TEXAS EASTWARD AND
OFFSHORE. PER SEVERAL HI-RES MODELS...THIS COULD YIELD A RELATIVE
MINIMUM RIGHT ALONG THE CENTRAL AND UPPER TEXAS COAST...ALTHOUGH
IN A SCENARIO THIS COMPLEX OUR CONFIDENCE IS MEDIUM AT BEST.


...SOUTHERN U.S. FROM MISSISSIPPI TO THE CAROLINAS...

SYNOPTICS WILL BE SOMEWHAT FAVORABLE FOR MODEST AREAL AVERAGE
PRECIPITATION FROM RAIN AND THUNDERSTORMS TO THE SOUTH OF THE
STRENGTHENING UPPER JET AXIS...AND AHEAD OF THE SLOWLY ADVANCING
COLD FRONT. THE LIMITING FACTOR WILL BE OUTFLOWS AND CLOUD COVER
INHIBITING BOUNDARY LAYER RECOVER THIS AFTERNOON WITH EASTWARD
EXTENT AWAY FROM LOUISIANA. WPC MAINTAINED AN AXIS OF MODEST
RAINFALL AMOUNTS THROUGH PARTS OF  MS/AL/GA BASED PRIMARILY ON
GLOBAL MODEL CONSENSUS AND THE LIKELIHOOD THAT THERE WILL BE SOME
RECOVERY AND INITIATION... AND/OR SPILLOVER FROM CONVECTION
FORMING UPSTREAM IN LOUISIANA. THERE ARE A FEW HI-RES SOLUTIONS
THAT PRODUCE VERY LITTLE RAIN THIS FAR EAST...BUT THE HRRR HAS
BEEN MAINTAINING AT LEAST SOME SIGNAL FOR DECENT COVERAGE OF LIGHT
AMOUNTS.

THEN LOOKING FARTHER EAST INTO NORTH CAROLINA...A PATTERN HAS BEEN
ESTABLISHED THE LAST COUPLE OF DAYS...WITH SUFFICIENT INSTABILITY
GENERATED EACH DAY TO SUPPORT INITIATION OFF THE HIGHER TERRAIN
AND WITHIN THE MORE DEEPLY POOLED MOISTURE ALONG A WARM FRONT THAT
EXTENDS UP INTO VIRGINIA. EXPECT RELATIVELY ACTIVE AFTERNOONS
THROUGH MONDAY WITH THE SLOW APPROACH OF THE DEEP LAYER TROUGH OUT
OF THE MIDWEST STATES. WPC QPF WAS BUILT AROUND THE WRF-ARW...OUR
IN-HOUSE ENSEMBLE...AND CONTINUITY.


...NORTHERN U.S. FROM THE UPPER MIDWEST TO NEW ENGLAND...

AS THE CLOSED MID-UPPER LEVEL LOW DROPS INTO THE UPPER MS VALLEY
DURING THE DAY 1 PERIOD THE COLD AIR ALOFT ALONG WITH OCCASIONAL
SHORTWAVE PERTURBATIONS ROTATING AROUND...WILL SUPPORT CONTINUED
SHOWERS WITH LIGHT AREAL AVERAGE AMOUNTS OVER PARTS OF ND/MN/MI.
INCREASING DOWNSTREAM UPPER DIFFLUENCE ALONG WITH THE ARRIVAL OF
THE THE INITIAL UPPER SHORTWAVE/VORT LOBE AND 850-700 MB WARM
FRONTAL ARC WILL ALLOW FOR AN EXPANSION OF SHOWERS AND
THUNDERSTORMS FROM THE EASTERN GREAT LAKES TO THE MID ATLANTIC
THIS AFTERNOON...ESPECIALLY WHERE THE LOWER-LAYER FLOW (SW-WSW)
CAN ENHANCE THE COVERAGE/AMOUNTS OROGRAPHICALLY. DEEP-LAYER
INSTABILITY WILL BE MODEST AT BEST...WITH THE MUCAPES GENERALLY
BETWEEN 1000-1500 J/KG. PER THE HIGH-RES MODELS...THERE REMAINS A
SIGNAL FOR LOCALLY HEAVY RAINFALL...AREAL AVERAGE 0.50 TO 1.25
INCHES BUT LOCAL VALUES OVER 2 INCHES...ACROSS NORTHEAST
OH...WESTERN PA...AND NORTHERN WV.


...WESTERN U.S...

SHALLOW DIURNALLY ENHANCED CONVECTION WILL PRODUCE LIGHT
PRECIPITATION GENERALLY NEAR AND JUST EAST OF THE CONTINENTAL
DIVIDE BOTH SUNDAY AFTERNOON AND MONDAY. COVERAGE AND INTENSITY
SHOULD INCREASE SOMEWHAT ON MONDAY AS PRECIPITABLE WATER VALUES
RATCHET UP TO VALUES SOLIDLY ABOVE 0.50 INCHES OVER NEW MEXICO
WITHIN POST-FRONTAL UPSLOPE FLOW. STILL...GIVEN WEAK FORCING AND
RELATIVELY WEAK INSTABILITY...THE AREAL AVERAGE PRECIPITATION
AMOUNTS WILL REMAIN GENERALLY LIGHT...EXCEPT WHERE GREATER
INSTABILITY WILL WORK ITS WAY UP THE RIO GRANDE INTO THE BIG BEND
AND TRANS-PECOS REGION. MODEL QPFS ARE NOT PARTICULARLY
ROBUST...BUT TRENDS WILL NEED TO BE MONITORED.



DAYS 2 AND 3...

...GREAT LAKES/UPPER OH VALLEY/MID-ATLANTIC/NORTHEAST...

A CLOSED LOW OVER SOUTHWEST ONTARIO AND ADJACENT AREAS OF THE
UPPER GREAT LAKES WILL ONLY VERY SLOWLY BEGIN TO DRIFT OFF TO THE
EAST BY TUESDAY AND WEDNESDAY WHICH WILL MAINTAIN THE LARGER SCALE
TROUGHING OVER THE OH VALLEY AND NORTHEAST THROUGH THE PERIOD.
SOME WRAPAROUND MOISTURE AND ENERGY WILL MAINTAIN BEGIN THE THREAT
OF SHOWERS ACROSS AREAS OF THE UPPER GREAT LAKES...BUT AMOUNTS
HERE WILL GENERALLY BE FAIRLY LIGHT AND UNDER A 0.25 INCH.
MEANWHILE...SHORTWAVE ENERGY ROTATING AROUND THE BASE OF THE UPPER
TROUGH WILL HELP DRIVE A COLD FRONT SLOWLY ACROSS THE OH
VALLEY...MID-ATLANTIC AND INTO THE NORTHEAST WHICH WILL BE
INTERACTING WITH SUFFICIENT BOUNDARY LAYER MOISTURE AND
INSTABILITY FOR A BROKEN AXIS OF SHOWERS AND THUNDERSTORMS. UPPER
LEVEL FORCING/JET DYNAMICS WILL BE AT A BIT MORE PRONOUNCED UP
ACROSS INTERIOR AREAS OF NY AND NEW ENGLAND AND THIS COUPLED WITH
SOMEWHAT STRONGER LOW LEVEL WIND FIELDS/MOISTURE TRANSPORT AND
OROGRAPHICS WILL TEND TO FOCUS SOMEWHAT HEAVIER RAINFALL AMOUNTS
ACROSS THESE AREAS. GENERALLY FOLLOWED A MULTI-MODEL CONSENSUS
LEANING TOWARD A RELATIVELY WETTER VERSION OF A GFS/ECMWF
COMPROMISE THROUGH THIS PERIOD...WITH SOME TWO-DAY TOTALS OF 1 TO
2 INCHES POSSIBLE LOCALLY. LIGHTER AMOUNTS ARE EXPECTED DOWN
ACROSS THE OH VALLEY AND THE MID-ATLANTIC REGION WHERE THE
ACTIVITY SHOULD BE MORE SCATTERED.


...LOWER MS/TN VALLEYS/GULF COAST STATES/SOUTHEAST...

A QUASI-STATIONARY FRONTAL BOUNDARY WILL BE THE FOCUS OF AT LEAST
A BROKEN AXIS IF NOT NUMEROUS CLUSTERS OF SHOWERS AND
THUNDERSTORMS EXTENDING FROM THE LOWER MS VALLEY EAST-NORTHEAST
ACROSS THE TN VALLEY AND THROUGH THE INTERIOR AREAS OF THE GULF
COAST STATES AN THE SOUTHEAST COASTAL PLAIN. PLACEMENT OF A 90 TO
110 KT UPPER LEVEL JET ACROSS THE AREA...ESPECIALLY NEAR THE TN
VALLEY WILL TEND TO FOSTER SOME LARGER SCALE ASCENT OVER THE
REGION...HOWEVER THE PRESENCE OF WEAK SOUTHERN STREAM ENERGY/MCV
ACTIVITY EMBEDDED WITHIN DEEPER LAYER WEST-SOUTHWEST FLOW OVER THE
GULF COAST STATES AND INTERIOR SOUTHEAST WILL INTERACT WITH THE
FRONT FOR SOME RELATIVELY ORGANIZED CONVECTIVE ACTIVITY. THIS WILL
ESPECIALLY BE THE CASE WITH THE AID OF DIURNAL HEATING/INSTABILITY
AND A POOL OF RATHER DEEP TROPICAL MOISTURE WITH PWATS LOCALLY
BETWEEN 1.5 AND 2 INCHES. LOCALLY 1 TO 2+ INCHES OF RAIN CAN BE
EXPECTED...ESPECIALLY ON TUESDAY. ON WED...THE AFOREMENTIONED
FRONT WILL TEND TO SHIFT A BIT FARTHER SOUTH WITH DRIER AIR
FILTERING SOUTH AS WELL WHICH WILL TEND TO MITIGATE THE CONVECTIVE
COVERAGE A BIT. WPC QPF LEANED TOWARD A MULTI-MODEL CONSENSUS.


...RIO GRANDE VALLEY TO SOUTHEAST TEXAS...

MULTIPLE UPPER-LEVEL SHORTWAVE IMPULSES EMBEDDED WITHIN FLOW AHEAD
OF A LARGER SCALE SOUTHERN STREAM TROUGH WILL MAKE THEIR WAY
ACROSS THE REGION. AS THEY DO SO...THOSE IMPULSES WILL BE EMBEDDED
WITHIN AN INCREASINGLY DIVERGENT UPPER FLOW PATTERN AND WILL
INTERACT WITH PWATS RANGING FROM 1.5 TO 2 INCHES AND PLENTY OF
INSTABILITY WHICH WILL BE POOLING ALONG A QUASI-STATIONARY FRONTAL
ZONE. MODEL DETERMINISTIC QPF REMAINS VARIABLE BETWEEN
MODELS...BUT THERE TENDS TO BE A SIGNAL FOR HEAVY RAINFALL
IMPACTING ESPECIALLY AREAS OF DEEP SOUTH TX AND UP ALONG PARTS OF
THE SOUTHEAST TX COASTAL PLAIN. AS SUCH...A SLIGHT RISK OF
EXCESSIVE RAINFALL HAS BEEN INTRODUCED ACROSS MUCH OF SOUTH TX.
THIS IS WITHIN A BROADER MARGINAL RISK AREA THAT INCLUDES NOW ALL
OF THE RIO GRANDE VALLEY AND ALSO AREAS NORTHEAST UP ACROSS THE
REMAINDER OF THE SOUTHEAST TX COASTAL PLAIN. GIVEN THE POTENTIAL
FOR SOME WELL-ORGANIZED CONVECTIVE ACTIVITY...LOCALLY SEVERAL
INCHES OF RAIN CANNOT BE RULED OUT...ALTHOUGH CONFIDENCE REMAINS
QUITE LIMITED ON EXACT PLACEMENT OF THIS ACTIVITY. WILL NEED TO
MONITOR THIS CLOSELY OVER THE NEXT DAY OR SO.


...ROCKIES...

DIURNAL HEATING WITH WEAK UPSLOPE FLOW AND WEAK UPPER-LEVEL
IMPULSES WILL AGAIN TRIGGER SCATTERED AREAS OF CONVECTION OVER THE
ROCKIES DURING THE LATE AFTERNOON INTO LATE EVENING HOURS THROUGH
THE PERIOD. THE HEAVIER RAINFALL AMOUNTS ARE LIKELY TO BE OVER
SOUTHERN CO AND NM WHERE SOMEWHAT GREATER MOISTURE
TRANSPORT...HIGHER PWATS AND INSTABILITY WILL BE IN PLACE. SOME
LOCALLY HEAVY RAINFALL AMOUNTS WILL BE POSSIBLE...ESPECIALLY OVER
NM.


...PACIFIC NORTHWEST...

AN APPROACHING SHORTWAVE WILL AID TRIGGER SHOWER ACTIVITY OVER
PARTS OF THE PACIFIC NORTHWEST INTO PARTS OF NORTHERN CALIFORNIA
BOTH TUESDAY AND WEDNESDAY. QPF AMOUNTS WILL BE GENERALLY 0.25
INCHES OR LESS FOR MOST AREAS...ALTHOUGH THERE IS A BIT OF A
HEAVIER SIGNAL UP ACROSS THE NORTHERN WA CASCADES WHERE UPPER
LEVEL JET DYNAMICS AND OROGRAPHIC FORCING WILL BE A BIT STRONGER.

BURKE/ORRISON

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


24HR QP VT 30/00Z
 0.01 530178 530171 529166 525159 519153 513148 507142 500138
      497135 492134 486130 483127 478126 474125 473128 474139
      476137 480138 485140 487144 491152 490158 491165 489173
      493174 496179 496184 497187 505190 509183 518180 524180
      528180 530178
 0.01 525941 525932 525926 523920 522911 519899 516887 514881
      511876 504870 496863 487861 484863 480861 477857 476853
      474839 473836 474833 476829 478820 479813 482810 486804
      489795 490790 488783 490771 488757 485745 481731 475720
      474718 474715 477712 479706 481701 483690 484684 482681
      481675 478671 476667 472665 470666 468670 463672 461676
      459684 459690 455690 451686 447684 444683 438684 433684
      429682 427678 423676 419675 413676 406679 402682 397692
      394703 391711 389722 388732 380737 375738 372737 366731
      364726 361723 356721 351723 349727 344736 339755 339762
      339771 337782 334793 333799 334805 336810 335815 331823
      324842 323846 321849 319847 319841 319837 318834 317829
      313829 308832 307837 306842 306849 306856 306861 301869
      296878 292887 282908 276924 271932 263936 255939 253941
      251945 247962 242969 239981 237991 236995 237999 242008
      247012 251014 256022 259033 260037 260040 258040 253046
      250050 250054 255061 262064 266065 269064 275060 283056
      289063 293065 296062 298059 300063 301067 301074 306083
      312091 316095 321096 328097 331097 332099 337107 343112
      347112 351110 352106 351101 350096 350090 351084 354084
      358080 362072 366061 370059 376058 382060 383065 385068
      389068 427068 433069 433066 431061 428057 423049 417047
      410042 402041 383040 378037 375034 369026 365025 361026
      357033 353039 349043 342049 337047 331046 325051 328052
      327055 327057 335061 337062 336065 333068 325071 321072
      319071 315068 313065 311056 311051 308047 305043 301040
      296032 297026 301024 306017 314994 322973 326965 330956
      338939 342932 347925 354912 362896
 0.01 362896 372882 375878 379875 384868 389861 390858 390854
      385852 380856 369868 366871 362874 359877 353878 351874
      352870 356863 361848 368844 373843 376841 380837 382833
      384829 389828 398842 400846 399850 397858 393865 389874
      383894 380902 378910 375918 375923 377920 384915 388910
      399895 408882 416870 426855 432850 435847 438847 443847
      453846 457847 459850 460856 457859 452864 447872 445881
      442892 441897 442903 446909 451909 454911 456915 458919
      462925 465927 466935 465948 465956 467961 464966 458966
      455969 455974 455979 458983 460984 463982 466976 469972
      472970 475968 480967 491968 490973 490977 488978 486977
      484980 484985 486989 490995 492998 495999 503001 508001
      509997 507991 505988 502984 501980 501976 506970 511963
      520955 524947 525941
 0.01 454179 454176 453174 453171 451170 451171 451173 451175
      451176 452176 454179 454179
 0.01 456160 457152 454147 450138 448132 448122 449114 448109
      449105 452106 459107 461104 460099 458094 454090 449089
      444089 440088 438086 434086 425083 422087 424093 427098
      427103 424106 422112 428113 429108 431103 434104 434108
      434111 437110 438108 440110 444115 444122 443130 440134
      437139 440151 447158 451161 454162 456160
 0.01 456081 457074 456069 455064 452060 449062 445064 442067
      438069 438074 441075 446076 449078 454081 456081
 0.01 436221 436220 434220 432221 431221 430221 429223 428223
      429224 430224 432225 432224 434223 436221 436221
 0.01 442019 443009 441002 443999 443995 441988 438983 433983
      431983 431987 432995 434000 435005 434006 430009 430011
      434014 439017 442019
 0.01 420235 420233 418231 417231 415230 413231 412233 413234
      414236 414237 416238 418237 420236 420235
 0.01 409110 409108 409105 409103 408100 408098 407100 407103
      407105 407107 409110 409110
 0.01 387201 386198 384196 384195 383194 381194 379194 378192
      376191 374190 374191 375193 376194 377194 379195 380197
      382198 384199 385200 385201 387201 387201
 0.01 268814 268810 266808 265806 264802 261802 259804 256805
      254806 252808 252812 253815 257815 260815 263815 266816
      268814
 0.25 515929 515918 513910 509903 508895 505888 500883 495880
      489878 486878 481879 477882 474890 470895 472905 475912
      478919 479924 481925 491934 497937 502938 510937 514933
      515929
 0.25 476765 476756 476749 474740 472734 462721 449706 446704
      440704 432704 425700 418694 415690 412689 407696 403704
      400715 395733 393739 390743 383749 381753 381760 385762
      388763 394762 397759 400760 401763 401769 399774 397777
      392783 391795 391803 396805 398808 400813 402812 404808
      408808 411810 414815 415821 414827 415832 417836 421838
      425836 429833 431831 435833 439834 446828 453825 462820
      464815 465808 471788 471781 472777 473774 476765
 0.25 366755 365751 362747 359743 357739 354736 351740 351744
      353748 355752 357757 361759 365757 366755
 0.25 363778 361767 358764 355763 348758 346761 345765 344774
      341781 341786 344785 347782 349782 351786 351791 349801
      350822 347830 342834 337839 333846 326861 324866 321869
      318877 316886 314894 311900 306907 299911 296908 295903
      294899 291901 287910 282924 279931 274937 262946 256953
      252961 246975 244982 241990 241995 244999 250002 254004
      257007 260011 261016 261021 263023 266027 267031 270037
      270046 272049 275050 279049 284050 287051 290050 290043
      290038 288035 286032 286027 285023 287018 291012 296007
      300000 304991 311973 325947 332930 335920 334913 335906
      337898 338890 339885 339880 339875 341871 348857 354849
      357841 360833 362825 360821 360816 361807 362791 363778
 0.25 366043 364041 362043 360045 357047 355049 354051 355053
      356053 359052 361051 363048 365045 366043
 0.25 342094 342091 341088 339085 337083 336080 334078 332077
      331078 330081 332083 334084 335088 335091 337093 340095
      342094
 0.25 310873 309871 308870 308871 307873 307874 306875 307876
      308877 309878 309877 310875 310874 310873
 0.50 511924 510916 508911 503904 500896 500891 498888 494884
      491883 486884 485889 486897 484902 483907 484913 486918
      488922 491925 495927 499928 504928 509926 511924
 0.50 471753 471745 469739 466734 462730 459728 455729 452731
      448729 445725 446720 446716 444713 439713 432718 429716
      427713 420707 417702 414697 409700 407703 404713 403725
      401730 400737 407741 408752 409757 410765 410771 408778
      404785 400788 398791 399797 402800 404802 407802 409798
      422807 425808 425811 422815 421821 420828 420831 421833
      425830 428822 431802 432797 436796 443800 453819 456817
      459813 459808 457803 465772 470761 471753
 0.50 434780 434775 432774 429774 426773 423773 420775 420778
      420783 419787 421792 423792 426792 428791 431788 432785
      433783 434780
 0.50 425722 425720 424718 423718 422718 420718 419720 418721
      418724 419725 421725 423724 424723 425722
 0.50 394750 394748 392749 390749 389751 388751 387753 386753
      387754 389754 391754 392752 394751 394750
 0.50 360801 359799 359796 359794 357793 356795 355796 355797
      356799 356801 356803 355806 355808 355810 357812 357813
      357812 359811 359810 359807 360805 360803 360801 360801
 0.50 350848 343839 339843 335848 331859 329870 326874 325876
      325880 327882 327887 325894 322899 319902 314911 303915
      297916 292916 286924 281933 276941 270944 265947 259954
      254963 249973 247980 245986 244993 248997 256002 263009
      264017 267022 272030 276028 279024 278016 285005 289003
      293000 297990 304982 310970 314960 318952 329929 331924
      331916 329911 330905 333894 334877 334872 336868 341860
      345853 350848
 0.50 286045 287043 286041 286040 285039 284038 282038 280038
      279040 278041 277042 277044 278045 280046 282046 284047
      285047 286045
 1.00 466747 465745 462743 460742 456742 453745 451746 450748
      448751 449753 451755 454757 456759 458759 460758 463755
      464752 465750 466747
 1.00 440750 439748 439744 440740 438738 436739 434742 433744
      432747 431752 433754 437754 439753 440750
 1.00 326922 325918 322917 315920 306922 302921 299923 296926
      293927 290926 289932 292934 293937 292945 291957 286964
      278974 276983 273981 274977 277970 279962 281953 280947
      278946 272949 266953 261957 256964 250978 250985 253993
      264002 270006 275006 278003 284000 289995 291992 291986
      294978 298971 301971 307965 311957 317943 323932 326922
 1.50 460751 460748 458747 457748 455749 455750 456752 457752
      459752 460751
 1.50 318935 317928 312926 306928 301930 299933 300937 301945
      300954 302960 307960 310954 312949 314943 317937 318935
 1.50 288989 288980 289977 286976 282981 279989 276990 271989
      268982 273970 278956 276953 274955 266957 261962 257968
      254974 252982 260994 265999 273000 281998 286994 288989
 2.00 314932 314930 312930 308931 306933 305935 304939 305942
      305945 307949 308947 310943 310942 310941 312937 313935
      314932
 2.00 272968 272962 270959 266961 264964 261968 259970 257974
      255978 256982 259982 263979 266976 268974 271970 272968
 2.00 271995 270993 270992 268990 266990 264992 265994 266995
      268996 269996 271995

24HR QP VT 31/00Z
 0.01 555927 555919 555908 552903 546902 543899 542889 540874
      539869 540866 541861 541854 540843 538837 535831 533829
      530829 525833 521839 517834 516832 515827 511812 517809
      521805 525794 526791 526785 525772 520757 516742 509726
      504715 500700 497694 496688 491685 487681 485673 480670
      477671 471668 465669 460668 457670 456673 457678 456684
      449677 441668 434663 430660 424658 419656 416656 412658
      408662 407668 409677 412682 420697 422702 426706 431709
      433711 433716 424722 421726 418731 412741 409747 404751
      401757 399763 395769 393778 391783 389788 387791 385793
      381798 377802 375808 372817 368822 367826 365825 362823
      363818 362814 366809 365805 367800 370793 372786 375774
      377768 380763 386756 388744 383739 378736 371729 367725
      363729 361720 358718 354719 350722 351729 350736 348743
      345747 341750 338755 337760 334766 331771 328784 323795
      320802 313807 310810 309816 305820 306826 308825 312826
      313830 314845 311851 308852 305848 305846 301844 300848
      300856 301863 301873 300880 298886 296891 292896 289901
      286912 283917 279920 272931 265940 262946 258950 248956
      232963 230012 238006 242006 245009 248014 250016 254016
      259016 263020 267022 269024 269028 270034 267036 258031
      253027 246026 242027 241030 242036 246039 254047 258050
      260053 261057 264067 268068 275070 280072 285077 286079
      289080 296082 303089 310094 315091 317082 320081 322082
      326087 328091 331095 335093 338088 341088 343090 346094
      350095 351094 355087 359085 361079 364075 371076 374081
      377085 382083 383079 386078 389079 390082 393080 396077
      401076 403073 407074 410074 413074 415073 415070 417066
      417059 420058 423059 425059 427058 425055 422051 417047
      411045 406041 401031 398026 397020 394005 391992 389986
      389983 391982 394979 395972
 0.01 395972 395964 398957 400942 401933 403929 405925 407917
      407913 405910 405906 406903 402900 401899 398898 394902
      393911 391920 388922 384922 377918 375916 376912 377904
      378902 378898 381893 394865 403857 406855 410849 414843
      419838 426827 430822 438821 441825 443827 445829 443831
      440830 437830 435832 430833 430840 427848 425850 425855
      426857 428855 431855 434857 436859 437868 444868 451865
      454865 456869 454874 452877 453880 456884 458889 453894
      450901 448908 448914 447917 445918 443923 442926 441931
      440933 440937 443942 455942 460947 464952 467957 473959
      479960 486962 489967 496967 505957 510955 512953 516953
      525948 536943 542945 548941 552936 555927
 0.01 516264 517258 517252 516248 513244 512239 511233 508229
      505223 504219 501216 496209 491208 488205 479208 467213
      458213 454209 452208 445212 441211 437212 434215 429215
      425216 421219 420225 418228 414227 413223 409225 406229
      400233 402237 406239 410240 413243 422245 432249 446246
      454244 464245 472246 481248 486250 490254 496262 500269
      502272 505275 506270 505264 503259 500254 495248 491240
      494237 499242 503249 508259 512263 516264
 0.01 526177 527170 526166 523157 521154 517152 512150 509148
      507145 503144 499141 496138 491133 488131 483129 476131
      474133 475136 478136 481138 482140 484141 486143 486146
      487150 488154 487162 486166 484170 485172 488175 492174
      493180 492186 496187 499186 502186 506185 511178 517174
      520175 523179 524179 526177
 0.01 469138 467133 468127 468124 466121 462121 459122 457119
      457113 461104 460101 457101 455095 452093 447092 443088
      437087 435088 431088 428084 425081 421085 420088 422091
      425096 421107 421109 424110 426109 428111 443123 443127
      442130 439134 438136 437141 440144 444149 445151 448151
      451156 453159 456160 458156 457152 455144 452139 454138
      457139 461142 463144 465142 468138 469138
 0.01 462181 462178 463173 465171 464166 464164 461163 460165
      462168 460173 459175 459178 459177 457177 457180 461181
      462181
 0.01 462817 459810 458803 458796 456794 453795 450800 446805
      444807 445812 447812 449816 449821 446829 450831 453830
      457830 459827 461820 462817
 0.01 417116 414113 411110 411108 411101 410096 406093 406098
      405107 400108 394112 398113 403112 406112 408115 410117
      413118 417116
 0.01 392204 391201 388197 385194 381191 378188 373187 370185
      368184 367187 369190 374192 377196 380199 383202 389202
      392204 392204
 0.01 405813 402811 399813 398816 396817 390825 385829 384834
      379839 377843 377846 373849 369853 367858 364863 359865
      357870 352885 348887 345882 343887 342893 339900 339909
      339917 338921 338926 323971 323978 323983 324986 323997
      326003 326010 326014 328017 331023 338030 342029 345024
      353016 357012 359010 360005 363003 366002 367998 367991
      368985 368975 368969 366962 365957 363955 360955 358953
      356947 346943 346936 348930 351925 353918 356914 361914
      367915 369913 370911 373904 374898 376891 377887 377882
      383859 388847 389844 389838 391833 395828 399823 403818
      405813
 0.01 348879 348877 348875 348873 348871 346869 345871 345873
      345875 345877 345879 347881 348879
 0.25 534915 531911 527914 522919 520921 519918 517910 515905
      503900 500893 500883 495868 493850 489836 486837 483842
      479843 475843 469841 464844 463851 463855 466857 472855
      476857 477864 478877 481883 487894 494908 500918 503924
      507929 512933 517934 524934 528931 533923 534915
 0.25 500739 499729 496723 488709 483696 478693 471692 466695
      463702 460710 457717 454722 447723 441723 435727 427737
      424743 419749 412759 409765 408770 409774 413778 419775
      425770 429764 433764 437760 443755 449751 451753 453755
      457761 462763 470762 476760 480759 486758 493759 496756
      498752 500739
 0.25 447224 446222 445221 445220 443220 442219 440219 439219
      438219 436220 436221 438222 439222 441222 443223 444224
      446224 447224
 0.25 453103 454100 453099 451098 450098 448098 446098 445098
      443098 442098 442101 442102 444104 446105 447105 449105
      451105 453104 453103
 0.25 408054 407053 406053 405053 406055 407055 408054
 0.25 384054 384051 382049 378048 375048 371046 365046 361048
      358050 356053 357057 363057 366055 370054 376053 381055
      384054
 0.25 382977 383968 381961 379955 377949 374943 371938 369938
      368942 368947 370955 372961 375967 377972 380977 382977
 0.25 371752 370746 369742 365739 360740 351754 347761 342770
      339790 334796 332799 330805 334813 339821 341821 341818
      342807 345805 348805 352803 356799 360793 364785 366774
      368764 371752
 0.25 364034 365027 363024 357024 354027 352031 350035 350042
      349046 351046 353042 355038 359034 364035 364034
 0.25 355069 355066 351066 350066 346066 344065 341065 339067
      340071 342072 344072 347071 349070 353069 355069
 0.25 231000 235000 240001 247004 254007 263009 274021 277025
      281027 285029 288033 290037 289040 282044 276044 268041
      254032 249032 251036 258043 270051 278053 279057 282060
      285063 290064 300067 304069 310069 320072 322071 322067
      319064 313062 308057 308053 310051 316051 320053 323058
      325060 331061 334060 338057 338054 336052 331047 324042
      315041 307039 302039 300034 302031 303026 303022 302017
      294010 292007 292001 288994 288990 290989 293985 294982
      303964 314952 318945 321937 324928 326918 328909 333901
      336890 337885 338880 337871 339862 341856 341850 340844
      337834 329833 325836 323840 321851 317857 313864 310871
      306879 303888 300897 297908 293916 283928 278933 274940
      270948 264954 257959 249964 246967 242969 232971
 0.50 476704 474703 471703 469705 466708 464718 461725 457730
      455735 456737 461736 463738 468737 471731 472721 474713
      476704
 0.50 440748 437742 433739 428742 425746 421751 418756 417759
      418764 422763 427760 433756 437753 440748
 0.50 366753 365748 360749 354755 350764 346772 344774 343781
      346787 349790 353792 359785 362776 365766 365755 366753
 0.50 333885 333877 332870 331854 326856 323859 317870 307889
      301912 295920 286929 281937 279943 280947 283949 290950
      291953 291957 296958 303951 312943 314940 316935 319922
      321909 324904 328900 333885
 0.50 315067 312064 308061 305058 302055 300052 294051 289051
      286053 288058 292060 297061 301063 305064 310066 313067
      315067
 0.50 291018 290016 289014 287013 285012 284011 282010 280010
      278011 278012 277013 277015 278017 279018 280018 281019
      283019 285019 287019 289019 290019 291018
 0.50 231995 246000 253002 260000 264000 267002 273007 277008
      280006 282003 282997 281994 282989 286983 290974 291966
      291961 289960 283966 279970 276972 272972 267966 265964
      259963 252966 246971 239973 232977 231977
 0.50 264041 262039 260038 258037 257036 255035 255034 253034
      253036 255038 255039 256040 258041 260042 262043 264043
      264041
 1.00 431747 429747 429748 431748 431747
 1.00 322887 318886 316890 312899 309907 307918 303925 299927
      299933 301935 303937 307936 309933 310926 312918 314907
      318898 321890 322887
 1.00 231991 237994 244996 248997 252996 257990 261988 262983
      261978 260975 257974 253978 248984 242982 237982 231983
 1.50 259986 260984 259982 259980 258980 257979 256980 255981
      255982 253984 251986 250988 250990 251990 253990 255988
      256988 257987 259986 259986
 1.50 249992 249991 248990 246991 245992 246992 248993 249992
      249992

24HR QP VT 01/00Z
 0.01 551887 551869 548859 543847 540833 537826 534821 531819
      529814 525808 527801 527783 526773 525769 520763 516761
      510762 508762 506769 504782 501797 498802 494805 489808
      486805 486801 492781 493764 495752 499747 501743 504730
      505722 504715 503708 500700 498694 496687 495680 493675
      494661 492658 487657 480650 472642 468638 463639 459638
      453640 449640 447644 439644 429650 420656 413663 409674
      407679 405684 408689 408693 406695 401703 396705 391706
      385707 381706 368709 355712 350719 344728 337738 328753
      322763 316769 308775 304779 299781 289786 280793 274800
      269802 268805 267810 266812 263813 258813 259815 264819
      268820 275827 281828 287828 292830 294833 295836 295843
      298848 303853 310856 313850 316849 319854 318859 318873
      318876 316879 312884 308888 304890 296895 293897 292902
      289912 286918 285923 281933 280938 276941 266946 261948
      254949 249951 243951 235953 231955 230007 243010 248012
      249014 244018 243029 245037 245041 248043 258044 265047
      267048 268052 272057 277062 281066 288070 291072 297073
      303077 327090 334097 337098 342098 346093 348091 353091
      361092 359089 358086 358084 360085 366086 370078 373085
      380088 384091 388091 391083 393081 397081 406071 409073
      413072 414068 412066 411061 413059 415060 419060 423058
      418057 415055 417052 420046 423041 426040 429039 433038
      435040 439041 443041 445036 444033 444026 444022 441020
      436018 434016 431018 427018 423020 421022 416022 411026
      409028 407034 405037 401039 397034 391031 385033 381035
      377034 373029 369023 366020 362022 357021 356018 353010
      353002 349995 347987 345983 343980 340973 341963 339956
      333922 335910 335902 338895 341891 343892 344895 348910
 0.01 348910 346921 352928 353935 353940 352944 348949 348959
      350963 354963 358964 359966 361972 361988 362993 364996
      368998 373992 376991 379992 388997 392996 396996 400996
      402995 404987 402979 401975 400968 396963 391958 389954
      391945 395941 398922 400915 403906 406901 409896 412889
      413881 413869 412858 408845 410838 412831 413824 415821
      414815 414811 416808 420802 424795 427792 430793 436795
      434800 435811 435814 439813 446814 449815 450820 452843
      451848 452855 456860 461865 463868 464875 462879 462884
      460893 460897 461900 462905 463908 467907 471905 475905
      479911 484917 488921 490922 493921 500918 506919 512920
      520919 525915 530911 537910 542906 547901 550894 551887
 0.01 524260 523257 522251 519246 517237 513234 512230 510220
      507212 502205 502200 507201 511204 513207 516213 519220
      526221 529222 532219 533214 533211 532206 529202 527196
      527191 526183 529177 530173 530168 525162 512153 510149
      507147 501150 497147 495144 492139 489136 485134 481134
      477136 475134 474136 473142 478144 490155 492158 492163
      490165 488164 482158 477157 475158 474156 471153 468145
      465143 461144 452145 446142 442142 442145 442149 443154
      448160 447173 443178 439187 438190 436193 433194 429195
      426194 420191 416190 413191 406193 401194 397193 390194
      385192 381189 372186 369185 367187 371192 374193 376197
      379205 382207 387208 391214 405222 410228 414227 417225
      420224 430226 443232 451230 455229 458231 458234 458240
      461241 468243 471246 473249 476253 477258 475260 476265
      477269 480273 489277 493278 498281 507288 510289 513286
      514282 516281
 0.01 481196 480189 479182 475177 473176 474171 476167 475161
      474157 472160 466160 461163 459165 459170 457177 453182
      450187 444187 441190 438192 440194 443193 446194 448193
      454193 458196 464194 469195 471197 474198 479197 481196
 0.01 466134 466132 464129 461128 459126 456125 454127 454130
      454132 455137 457138 460138 462136 464136 466134
 0.01 459111 456107 457101 454096 452094 449095 442089 440088
      438092 436094 433092 430089 425085 423088 425091 429096
      431101 427105 426107 428108 430106 436113 441112 445111
      447109 452113 455113 457111 459111
 0.01 410110 411108 411105 411103 411102 411101 410098 408098
      406098 406100 407103 407105 405107 405109 407112 409110
      410110 410110
 0.01 406824 404822 402823 401825 403827 404826 406824
 0.01 399777 398773 396773 391776 388777 386779 381784 378787
      373788 369794 367800 363801 359801 356803 353807 351809
      348809 341803 338806 339810 339815 338821 335832 336845
      340850 343848 343845 346833 348829 353826 355830 356837
      366832 368828 370822 372808 377806 381802 384797 387792
      391790 395786 399777
 0.01 398113 396110 390114 385114 382113 380110 375109 374116
      376118 379117 382119 382124 384124 388121 392119 396115
      398113
 0.01 403827 400825 398827 396830 393833 391838 388845 386848
      383850 380848 379845 380834 377835 375838 372849 371852
      371858 371863 368867 366876 365881 366884 368884 370882
      374884 378893 379896 381897 384888 387881 389870 392851
      399834 403827
 0.01 374769 372766 369768 367769 364770 362772 361776 360778
      358781 360785 361782 363780 366779 370777 372776 373772
      374769
 0.01 358936 359934 359932 359930 359927 357925 355927 355930
      355932 355934 355936 357938 358936
 0.01 277034 277032 273032 272030 268029 263025 259023 258021
      256022 252026 250030 251036 255039 262039 265039 267042
      269042 271038 275034 277034
 0.25 519263 518258 516254 513248 512244 504223 503218 500213
      496208 493206 492201 490199 487199 485204 481206 474210
      470213 469216 471217 481220 485224 491226 493236 495242
      498247 499252 499255 498257 495261 497266 500276 506282
      507277 505271 505264 510267 513268 516267 519263
 0.25 511186 511185 509183 508182 506182 505182 504183 503184
      502185 502186 504187 505187 507187 509187 510188 511186
 0.25 493718 491708 489703 486702 480696 482683 482678 480673
      477664 475660 471658 465655 460650 456649 452651 437660
      432665 429674 426684 425693 427696 431695 439692 443690
      446693 447699 446705 440709 437713 436717 423730 424737
      425742 423745 420744 416746 408751 407754 408756 412757
      416755 420754 424753 430759 452735 456734 459736 462737
      466736 481739 485739 488738 491731 493724 493718
 0.25 231997 236001 242002 249002 254005 260010 268013 271014
      272017 277024 283026 287030 288033 286036 281040 277045
      276051 276056 283061 290065 316075 320075 323078 325081
      328082 335081 341078 347075 351069 362061 366055 372052
      376052 379054 383051 371044 359037 346046 331044 326043
      323038 327033 330035 334034 334018 333014 331011 320010
      315006 312001 303991 294979 291971 292968 294966 296970
      299971 304969 311967 317962 320957 322948 321937 318928
      317920 314914 310909 307907 304907 299912 295918 291937
      290947 289953 287960 285964 281966 273965 264965 256969
      252974 247977 241979 235981 231985
 0.25 386979 387971 384965 382961 381954 382946 380939 379933
      377927 375922 371923 369936 365947 364952 368955 371959
      373965 378974 380978 382980 385980 386979
 0.25 317815 316810 315806 313805 302806 296805 292803 287801
      282802 278805 277811 278818 283820 287821 292823 298830
      301836 305840 307839 311835 315826 317821 317815
 0.50 513263 514260 513255 511249 510244 508238 502228 502222
      501219 499216 497213 494210 484209 482211 482214 485220
      488222 492226 496238 502246 506258 510261 513263
 0.50 476717 475715 472713 470712 467712 463714 462716 459718
      458722 457724 459726 461727 465727 468724 470723 473722
      475720 476717
 0.50 465672 465666 463663 459657 456655 452656 447660 441665
      439669 438673 437677 434680 434684 438684 445680 451675
      455673 460674 462675 465672
 0.50 450726 449725 447726 446727 445727 446728 448728 449727
      450726
 0.50 441728 439726 437726 435727 434728 432730 431733 433734
      434733 435732 436731 437730 439729 441728 441728
 0.50 327055 328051 326048 324047 322046 319044 318041 317038
      313038 311039 311042 313045 314047 316049 319050 322051
      323053 325055 327055
 0.50 314820 313813 311811 308810 302809 295810 297813 300815
      301817 298821 301827 304833 309830 313825 314820
 0.50 307064 297046 302037 299031 299025 302023 305018 307013
      307009 305004 301000 293995 289993 284991 279989 273988
      269988 265991 261996 262000 264005 268007 274010 276014
      278018 282021 289022 294024 295037 292042 287044 283046
      280050 280054 285057 304065 307064
 0.50 311947 311945 310944 310945 310947 310948 311947
 0.50 308952 308949 307950 305948 303946 301949 300952 298954
      296955 295958 297958 299957 303956 305956 308954 308952
 0.50 309941 308939 306937 307935 308935 308934 308930 306927
      305926 301926 300928 300933 301936 303938 304941 307943
      309941
 0.50 289810 288808 287807 285808 285810 286811 288811 289810
 1.00 510254 508246 506239 500233 498224 493218 490217 494224
      496234 499240 502242 505246 507254 510254
 1.00 311822 311820 310819 309818 308818 307818 305821 306823
      307824 307825 309825 310824 311822 311822
 1.00 297012 297006 294004 290002 286000 282998 279997 275999
      275002 277005 280009 282013 285015 290014 294013 297012

$$





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