Quantitative Precipitation Forecast
Issued by NWS

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830
FXUS04 KWBC 072228
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
525 PM EST THU DEC 07 2017


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID DEC 08/0000 UTC THRU DEC 11/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1

UPDATE: ONLY MINOR CHANGES MADE TO THE PRELIMINARY QPF. RECENT
TRENDS SUPPORT A BIT HIGHER QPF INTO PORTIONS OF WESTERN NC/SC AND
SOUTHERN VA...SO BUMPED UP TOTALS A TAD IN THAT REGION. OTHERWISE
GENERALLY LEFT THE PRELIMINARY 18Z QPF UNCHANGED. -CHENARD

PREVIOUS DISCUSSION...

SOUTH TEXAS AND ALONG THE GULF COAST INTO THE SOUTHEASTERN U.S.
AND LOWER MID ATLANTIC REGION...

WITHIN A BROAD POSITIVELY-TILTED TROUGH EXTENDING OVER THE CENTER
OF THE COUNTRY...A PROGRESSIVE UPPER LEVEL JET STREAK AND
ASSOCIATED SHORTWAVE WILL PUSH THROUGH NORTHERN MX WHILE PIVOTING
SE AND THEN E ALONG THE RIO GRANDE RIVER. THE SOUTHERN
DISPLACEMENT OF THE POLAR JET IS QUITE ANOMALOUS, EVIDENCED BY THE
500 MB HEIGHT ANOMALIES AROUND 3.5 STANDARD DEVIATIONS BELOW
NORMAL OVER NORTHERN MX. BY THE END OF THE PERIOD (00Z SAT), THE
SOUTHERN STREAM SHORTWAVE IN TANDEM WITH ANOTHER WAVE DIVING SSE
INTO THE UPPER MIDWEST WILL AMPLIFY THE LONGWAVE TROUGH TOWARD
MORE OF A NEUTRAL TILT. IN THE MEANTIME, SYSTEM WILL MOVE ATOP A
MODIFIED ARCTIC AIR MASS AS THE SURFACE FRONTAL ZONE RESIDES DOWN
IN THE GULF OF MX. STRONG ISENTROPIC LIFT ALONG THE ELONGATED WARM
CONVEYOR BELT (WCB) COINCIDING WITH STRONG LOW-MID LAYER
FRONTOGENESIS WILL MAINTAIN WIDESPREAD PRECIPITATION FROM THE
SOUTHERN HALF OF TX AND WESTERN-CENTRAL GULF COAST ENE INTO THE
SOUTHEAST AND LOWER MID ATLANTIC REGIONS. WITH ALL OF THE
INSTABILITY CONFINED TO THE GULF WATERS, A STEADY LIGHT/MODERATE
BAND OF PRECIPITATION SHOULD FOCUS WELL NORTH OF THE BOUNDARY.
SOME OF THIS WILL BE IN THE FORM OF SNOWFALL OR A WINTRY MIX
ACROSS PORTIONS OF SOUTH TX. FOR MORE INFORMATION ON THE SNOW
FORECAST...PLEASE READ THE WPC HEAVY SNOW DISCUSSION AT QPFHSD.

FARTHER EAST TOWARD THE SOUTHEASTERN U.S. COAST, HEAVIER RAINFALL
TOTALS TO THE TUNE OF 1-2" IN AREAL-AVERAGE ARE EXPECTED ACROSS
THE SOUTHEAST AND LOWER MID ATLANTIC COASTAL PLAIN. THIS IS DUE
LARGELY TO BOTH NORTHERN AND SOUTHERN STREAM DYNAMICS WHICH WILL
BECOME COUPLED -- I.E. THE STRENGTHENING LOW-LEVEL INFLOW/MOISTURE
FLUX AHEAD OF THE AMPLIFYING UPPER TROUGH INTO A STALLED SURFACE
FRONTAL BOUNDARY, ALONG WITH THE STRENGTHENING CURVED UPPER LEVEL
JET STREAK AND ATTENDANT ROBUST LOW-LEVEL FRONTOGENESIS IN ITS
RIGHT ENTRANCE REGION. AS PREVIOUSLY NOTED, ELEVATED INSTABILITY
WILL BE NEGLIGIBLE, THUS RAINFALL RATES (AND THE RISK OF EXCESSIVE
RAINFALL) WILL BE MITIGATED SIGNIFICANTLY. OVERALL MODEL AGREEMENT
WAS QUITE GOOD OUTSIDE OF THE NAM ONCE AGAIN (NAM TOO WET INTO THE
COLDER AIR). A MULTI-MODEL BLEND WITH THE GFS, ECMWF, AND HREF
PROBABILITY MATCHED MEAN WAS PREFERRED, WHICH COMPARED REASONABLY
WELL TO THE 15Z NBM.


GREAT LAKES AND INTERIOR NEW ENGLAND...

CYCLONIC FLOW ENCOMPASSING MUCH OF NORTHEASTERN NORTH AMERICA WILL
FEATURE A SERIES OF EMBEDDED SHORTWAVES TRAVERSING THROUGH THE
GREAT LAKES AND LOCATIONS DOWNSTREAM. THE REINFORCING SHOTS OF
MODIFIED ARCTIC AIR WILL BRING COLDER LOW/MID-LEVEL TEMPERATURES
TO THE REGION WITH 700-MB NUMBERS POSSIBLY DROPPING TO AS LOW AS
-20C. THIS WILL STREAM OVER STILL MILD LAKE SURFACES...LIKELY UP
TO AROUND 7C...THUS AIDING IN SUBSTANTIAL INCREASE IN LOW-LEVEL
LAPSE RATES. WHILE WEST-SOUTHWESTERLY FLOW ALONG THE LAKE SURFACES
OF ERIE AND ONTARIO WILL BE IDEAL SNOW PRODUCERS...THE MEAGER
MOISTURE CONTENT WILL REMAIN A MITIGATING FACTOR AS PRECIPITABLE
WATER VALUES DO NOT EXCEED 0.25 INCHES. OVERALL...THE HEAVIEST
PRECIPITATION WILL BE DOWNWIND OF LAKES SUPERIOR, MICHIGAN, ERIE
AND ONTARIO GIVEN THE MOST FAVORABLE LAKE EFFECT SETUPS. LEANED
MORE ON THE HIGHER QPF SOLUTIONS PER THE 12Z HRW-ARW/NMMB AND HREF
MEAN. FOR MORE INFORMATION ON THE SNOW FORECAST...PLEASE READ THE
WPC HEAVY SNOW DISCUSSION AT QPFHSD.



DAYS 2/3...


...GREAT LAKES/OH VALLEY...

SHORT WAVE ENERGY CROSSING THE GREAT LAKES AND OH VALLEY ON DAYS 2
AND 3 IS EXPECTED TO PRODUCE WIDESPREAD QPF...ESPECIALLY ON DAY 2.
THERE WAS VERY GOOD MODEL AGREEMENT WITH THE THE TRACKS OF THE
SHORT WAVE ENERGY AND THEIR ATTENDANT SURFACE LOWS...SO THE WPC
QPF WAS BASED ON A MULTI MODEL BLEND.

DAY 2...
THE FIRST SHORT WAVE TRACKS FROM THE GREAT LAKES INTO THE OH
VALLEY DURING DAY 2...DROPPING INTO A DEEPENING LONG WAVE TROUGH
EXTENDING INTO THE MID ATLANTIC STATES. THE BEST LIFT WITH THE
SHORT WAVE OCCURS FROM WEST TO EAST BETWEEN 09/06Z THROUGH 09/18Z.
THE COLUMN IS FAIRLY DRY...BUT THE LIFT (AND STEEPENING MID LEVEL
LAPSE RATES) SHOULD MAKE THE MOST OF THE MOISTURE IN THE COLUMN TO
PRODUCE A LARGE AREA OF 0.10 TO 0.25 INCHES OF QPF ACROSS MUCH OF
THE UPPER GREAT LAKES INTO NORTHERN IN/NORTHERN OH.

AFTER THE PASSAGE OF THE SHORT WAVE AND ITS ATTENDANT SURFACE
LOW...THE BOUNDARY LAYER FLOW OVER THE UPPER GREAT LAKES BECOMES
MORE CONDUCIVE FOR LAKE EFFECT SNOWFALL. THE NORTH NORTHWEST LOW
LEVEL FLOW FAVORS LAKE EFFECT CIRCULATIONS AFFECTING MAINLY LAND
AREAS ADJACENT TO LAKE MI...AND A LARGE AREA OF 0.25 TO 0.50
INCHES OF QPF WAS PLACED OVER THE WESTERN HALF OF THE LP OF
MI...AS WELL AS A PORTION OF NORTHERN IN (WHERE THERE HAS BEEN A
CONSISTENT MODEL SIGNAL FOR NEARLY 0.50 INCHES OF QPF OVER FAR
SOUTHWEST MI).

DAY 3...
AS THE INITIAL SHORT WAVE CROSSES THE LOWER GREAT LAKES LATE ON
DAY 2 INTO EARLY DAY 3...THE BOUNDARY LAYER FLOW BRIEFLY VEERS TO
THE NORTHWEST...AND SHORT FETCH LAKE CIRCULATIONS DEVELOP WITH THE
SHORT OF COLD AIR ADVECTION. HOWEVER...THE CIRCULATIONS BECOME
DISRUPTED LATE IN THE PERIOD AHEAD OF THE NEXT SHORT WAVE DROPPING
INTO THE LONG WAVE TROUGH POSITION. THE LAKE EFFECT BANDS ARE
EXPECTED TO PRODUCE LOCAL 0.25 INCH QPF AMOUNTS DOWNWIND OF LAKES
ERIE AND ONTARIO.

THE UPSLOPE FLOW BEHIND THE SHORT WAVE BECOMES ENHANCED OVER
FAVORED LOCATIONS ACROSS EASTERN WV. LOCAL 0.15 INCH QPF AMOUNTS
ARE POSSIBLE HERE.


...MID ATLANTIC/SOUTHEAST/FL...

A DEEP LONG WAVE TROUGH APPROACHING THE SOUTHEAST STATES AND MID
ATLANTIC PROVIDES LIFT TO INDUCE CYCLOGENESIS ON A FRONTAL
BOUNDARY OFF THE MID ATLANTIC COAST DURING DAY 2. A COLD FRONT
EXTENDING FROM THE SURFACE LOW WILL FOCUS DEEP MOISTURE AND
INSTABILITY TO PRODUCE LOW TOPPED CONVECTION WITH HEAVY TO LOCALLY
EXCESSIVE RAINFALL ACROSS PORTIONS OF CENTRAL AND SOUTH FL. THERE
WAS GENERALLY GOOD MODEL AGREEMENT WITH THE EVOLUTION OF THE MID
LEVEL SYSTEM AND THE SURFACE FEATURES...SO THE WPC QPF WAS BASED
ON A BLEND OF THE 12Z ECMWF/GFS.

LIFT ASSOCIATED WITH THE APPROACHING LONG WAVE TROUGH IS AUGMENTED
BY DIVERGENCE IN THE RIGHT REAR QUADRANT OF A 130 KNOT JET STREAK
CROSSING THE SOUTHEAST AND MID ATLANTIC STATES...MAINLY DURING THE
FIRST HALF OF THE PERIOD. WAVES OF LOW PRESSURE FORMING ON A
FRONTAL BOUNDARY EXTENDING ACROSS CENTRAL FL DRAG THE FRONT ACROSS
CENTRAL AND SOUTH FL DURING THE SAME TIME FRAME. AHEAD OF THE
FRONT...A 30 TO 40 KNOT LOW LEVEL SOUTHWEST JET TRANSPORTS
1.75/2.00 INCH PRECIPITABLE WATER AIR (WHICH IS ABOUT TWO STANDARD
DEVIATIONS ABOVE THE MEAN) AND MARGINAL TO LOCALLY MODERATE
INSTABILITY ACROSS CENTRAL AND SOUTH FL...MAINLY BETWEEN 09/06Z
AND 09/12Z.

LOW TOPPED CONVECTION FORMING IN THE MOISTURE AND INSTABILITY
COULD TRAIN ACROSS PORTIONS OF CENTRAL AND SOUTH FL (AS THE
850-300 MB MEAN FLOW BECOMES BETTER ALIGNED WITH THE PROPAGATION
VECTORS). DUE TO THE TRAINING POSSIBILITY... THERE WAS A SOLID
MODEL SIGNAL FOR BETWEEN 2.00 AND 2.50 INCHES OF QPF HERE (AND THE
12Z UKMET SHOWED A QPF BULLSEYE NEAR 5.00 INCHES). THE FRONT AND
MID LEVEL SUPPORT ARE FAIRLY PROGRESSIVE...WHICH COULD LIMIT THE
HIGHER QPF AMOUNTS. STILL...THE POTENTIAL FOR TRAINING IN THE HIGH
MOISTURE CONTENT AIR NECESSITATED KEEPING THE MARGINAL RISK IN
PLACE FOR DAY 2.

AS THE SURFACE LOW DEEPENS EAST OF THE SC COAST...DEVELOPING MID
LEVEL FRONTOGENETIC FORCING CROSSES MUCH OF THE SOUTHEAST AND MID
ATLANTIC COAST FROM SOUTHEAST CA INTO THE SOUTHERN DELMARVA
PENINSULA. INSTABILITY EAST OF THE FRONT COULD BECOME INVOLVED IN
THE BANDED LIFT OVER THE COASTAL PLAIN... RESULTING IN A SWATH OF
0.50 TO 1.00 INCHES OF QPF OVER THE ABOVEMENTIONED AREAS.


...NORTHEAST...

LIFT ASSOCIATED WITH A STRONG NEGATIVELY TILTED LONG WAVE TROUGH
EXTENDING FROM THE GREAT LAKES THROUGH THE MID ATLANTIC STATES
AIDS IN DEEPENING SURFACE LOW PRESSURE THAT TRACKS OFF THE EAST
COAST DURING DAY 2. THE SURFACE LOW THEN MOVES ACROSS NOVA SCOTIA
INTO THE CANADIAN MARITIMES ON DAY 3. THERE IS A GROWING CONSENSUS
THAT THE SURFACE LOW AND ITS ATTENDANT MID LEVEL LIFT WILL AFFECT
THE NORTHEAST STATES DURING DAY 2...AND PORTIONS OF EASTERN NEW
ENGLAND DURING THE FIRST HALF OF DAY 3. BASED ON THIS...THE WPC
QPF WAS BASED ON A BLEND OF THE 12Z ECMWF/GFS.

DAY 2...
DEEPENING SURFACE LOW PRESSURE OFF THE NC COAST TRACKS EAST OF THE
MID ATLANTIC COAST EARLY ON DAY 2...REACHING A POSITION EAST OF
THE MA COAST BY THE END OF THE PERIOD. MID LEVEL FRONTOGENETIC
FORCING BECOMES MORE WIDESPREAD AHEAD OF A NEGATIVELY TILTED
TROUGH APPROACHING THE MID LEVEL ATLANTIC COAST...PEAKING BETWEEN
09/06Z AND 09/18Z FROM NJ ACROSS EASTERN MA...THEN REACHING INTO
EASTERN NEW ENGLAND BEFORE 10/00Z. THERE HAS BEEN A CONSISTENT
MODEL TREND TO BRING THE MID LEVEL LIFT (AND 0.50 TO 0.75 INCH
PRECIPITABLE WATER AIR) FURTHER WEST WITH THE PAST FEW CYCLES...SO
THAT THE 0.10 INCH QPF LINE IS NOW EXPECTED TO EXTEND FROM NEAR
KDCA ALONG THE INTERSTATE 95 CORRIDOR IN NJ/NYC METRO AND PORTIONS
OF CENTRAL MA INTO SOUTHERN ME.

THE HIGHEST QPF AMOUNTS ARE EXPECTED CLOSER TO THE BEST LOW LEVEL
BAROCLINIC ZONE STRETCHING FROM SOUTHEAST DE ACROSS FAR EASTERN LI
INTO SOUTHEAST NEW ENGLAND. IN THIS ZONE...0.50 TO 0.75 INCH QPF
AMOUNTS ARE EXPECTED...WITH HIGHER AMOUNTS JUST OFFSHORE. IF MODEL
TRENDS CONTINUE...THESE QPF AMOUNTS COULD EXTEND FURTHER BACK
ACROSS THE NORTHEAST DURING DAY 2.

DAY 3...
AS THE NEGATIVELY TILTED LONG WAVE TROUGH CROSSES NEW ENGLAND
DURING DAY 3...THE SURFACE LOW TRACKS FROM EAST OF MA ACROSS NOVA
SCOTIA/NEW BRUNSWICK. THE BEST MID LEVEL FRONTOGENETIC FORCING
ASSOCIATED WITH THE LONG WAVE TROUGH/SURFACE LOW CROSSES EASTERN
ME...WHERE AN AREA OF 0.25 TO 0.50 INCHES OF QPF WAS PLACED. THE
STRONG QPF GRADIENT IS EXPECTED ACROSS CENTRAL INTO SOUTHWEST
ME...WHERE VALUES DROP OFF BELOW 0.10 INCHES ALONG THE SOUTHWEST
ME/SOUTHERN NH BORDER.


HURLEY/HAYES

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

24HR QP VT 09/00Z
 0.01 547944 547935 545927 541922 536920 524920 518918 510917
      504909 496904 490901 485901 480897 480892 483878 486872
      486864 484856 486848 488841 486831 485825 480822 476821
      476814 475807 474797 478787 482781 485776 487769 487763
      487758 485753 482748 481746 477747 475746 474744 475740
      473738 473733 475727 483721 484718 482713 479710 475706
      477699 476694 470692 462700 458701 457704 453705 450704
      442713 440716 443717 446721 444726 441728 444730 449729
      453727 456727 460734 458742 457749 454754 452752 449752
      450749 449744 448738 445736 442737 440739 432745 432753
      434759 433774 434779 431781 428775 426772 424772 421777
      419782 418790 416797 414804 414816 415821 418825 422822
      423815 424809 427804 431802 433807 432812 433816 439817
      440821 439825 438830 436835 437835 441829 444824 447822
      450824 451828 451833 450839 444848 441852 435854 428853
      425848 421844 419842 418845 418850 417856 417861 419860
      423860 427861 438867 450864 454865 455858 458852 459845
      462845 461849 460860 461870 461879 459883 452895 448901
      446908 444914 443920 443925 444927 447933 462945 468947
      473951 477954 481957 494962 504970 512973 517973 521971
      526970 531966 536963 538960 541957 544952 547944
 0.01 468759 465758 462760 460762 458764 457766 455769 454774
      453777 455780 458779 460776 461774 463771 464769 465765
      467762 468759
 0.01 446778 443776 441779 439779 439782 437784 435787 433792
      433799 437800 442798 443793 443786 444781 446778
 0.01 438729 437726 435726 434727 432727 430727 428728 428729
      428731 429731 431733 432732 433732 434730 436729 437729
      438729
 0.01 425662 420656 418654 414655 406658 401663 391675 385681
      380688 376694 372699 364708 352717 340724 328733 319743
      307756 304761 301764 297766 290765 284762 278761 275761
      271760 267763 260764 246767 238767 235768 232770 229777
      228780 229785 235790 241794 245788 255787 261789 262796
      264803 263806 264811 266813 263816 258820 250826 234828
      230833 227839 228844 229847 231850 234852 248860 259867
      259875 258881 257889 257900 258909 259915 257924 254930
      249935 244938 234950 233953 232958 232970 234978 234987
      233996 234004 239017 246026 252032 256037 259044 260047
      260051 262060 265067 269074 276079 288086 290087 293086
      302087 305087 307083 307074 303063 299047 299037 301027
      300020 300015 299011 296003 297999 297992 299982 301975
      305961 309947 311939 314933 319918 322911 325904 331890
      339872 344858 347851 351845 357835 364825 380812 391799
      397794 396791 394793 388795 383802 373812 370815 368811
      370805 373790 378774 383761 388752 391744 398729 404717
      408709 411702 417691 420678 422668 425662
 0.01 416064 411061 409055 395054 393047 394041 396037 398036
      396032 394032 392035 390041 387048 386053 390058 391060
      391063 390066 390071 392071 394069 396068 397072 397076
      399078 405071 408075 409072 412071 416064
 0.01 415054 415052 413052 411053 410054 411055 413055 414055
      415054
 0.01 376053 376050 374048 373044 371041 369041 367041 367044
      369046 370050 368052 368055 370055 374053 376053
 0.01 247812 246811 245810 243811 243813 244815 246815 247813
      247812
 0.25 476865 474860 472855 471850 470843 468840 466844 466851
      465857 464863 466868 469873 471873 472868 476865
 0.25 472888 471883 470880 469880 468883 468885 467888 466893
      466895 465900 468900 469898 470894 471890 472888
 0.25 466787 462788 460788 459786 455786 452790 449802 443805
      442808 441812 443814 447815 452813 454817 457832 459830
      460824 463812 462805 463800 466787 466787
 0.25 455850 456847 456845 455842 454841 452843 451845 449847
      448848 448850 447850 448853 450855 451854 453853 454852
      455851 455850
 0.25 442754 442752 441750 440749 439750 438752 438753 437755
      437756 436758 437760 437761 439762 441760 442757 442755
      442754
 0.25 427791 427788 426786 424788 424789 423791 423793 423794
      425794 426792 427791
 0.25 421806 421804 420803 420804 420806 421807 421806
 0.25 395701 393695 390693 385694 382697 375705 367712 355724
      339734 331740 325747 312764 303780 299786 300793 299796
      299810 294817 284823 276828 272830 268831 260828 255830
      253832 248839 245844 247849 250853 254854 259856 262859
      265864 264870 262881 261890 263913 263920 262925 260930
      257933 251940 243946 238953 237962 240971 243980 244987
      244993 242998 241004 243010 246013 252020 257022 262023
      268027 274029 278027 280024 281018 278007 278001 279997
      283987 285981 286974 288962 291955 299938 305929 308921
      318900 322893 326883 332867 340848 352831 356821 358812
      360803 362793 378752 385734 391716 394708 395701
 0.25 284068 285066 284065 283064 282063 281065 282067 282068
      284068 284068
 0.25 266775 266773 265771 263770 261770 259771 258771 256773
      255773 254773 252774 251774 249776 250778 251778 253779
      254779 255779 257780 259780 260779 262779 264778 265778
      266776 266775
 0.25 249776 248774 247774 245773 243773 241773 240774 239775
      240777 242778 244778 246778 247777 249776
 0.50 469863 469861 469858 469856 469853 468852 468853 467856
      468858 468861 468863 469865 469863
 0.50 456793 457791 456790 455791 454792 453794 453795 452796
      452799 453800 454799 455798 456796 456794 456793
 0.50 447812 447809 447807 446810 447812 447812
 0.50 439757 437758 439758 439757
 0.50 384715 382709 378709 371713 356728 348734 343740 337745
      332747 330750 324758 318764 314768 311773 308783 307787
      310789 312793 312799 312805 311810 308816 297830 293834
      287835 284835 278838 269840 264838 262835 260831 256832
      252838 250843 250848 253850 256850 259849 263849 265854
      266859 267867 263886 263892 265895 268902 270914 270920
      269925 263933 256940 249945 246948 243952 240959 243967
      245970 249973 257976 259978 260981 258985 255998 249998
      245000 245005 253010 255013 258016 264015 267013 269001
      278982 283964 286952 289945 294935 298929 308909 317893
      324879 340839 345831 349823 354806 360787 364776 369766
      376748 380740 382731 384715
 0.50 325766 323766 323767 323768 325768 325766
 1.00 361758 359749 355747 352749 344761 341769 339778 336784
      332791 324806 317817 308831 302844 296860 293867 293871
      294876 294891 297893 299896 302898 305897 309891 313883
      319870 332840 340825 343819 346812 351795 355779 358767
      361758
 1.00 281863 281858 278858 275859 273857 271853 270857 272859
      272863 272867 274869 276869 278867 280865 281863
 1.00 270986 270984 270983 269984 268985 267986 266988 265990
      264991 264992 263994 264996 266994 266993 266992 268991
      268990 269988 270987 270986
 1.00 263998 263996 262995 262996 261998 262999 263998
 1.00 263968 264962 263958 259954 255952 250952 246954 244958
      245962 248965 252968 255969 261969 263968
 1.00 256844 257842 255841 254842 254843 253844 254846 255845
      256844
 1.50 343801 343796 342792 337794 330805 323816 316828 313833
      313838 309842 305847 304853 309850 318843 326833 334823
      338817 341811 343801

24HR QP VT 10/00Z
 0.01 467621 470635 475644 475649 474653 472661 466680 459694
      455701 454705 451709 447715 442721 435728 430734 426740
      420745 406754 401760 397766 388777 383784 380791 369806
      366811 363819 353829 342840 321864 313876 304888 294901
      290906 283910 281912 277913 268914 259915 257909 252889
      244875 242869 238864 233862 231860 228858 226855 226849
      224845 222833 222828 222822 220819 218798 221791 222784
      225777 232772 242763 254754 265744 272739 278732 284728
      288723 294717 299713 309702 319693
 0.01 483338 484336 485336 485334 487332 489330 490328 491327
      492326 493325 494325 496323 498322 498321 500320 500319
      502318 505311 508298 512292 514282
      514274 511265 509262 506260 498257 492258 480262 474266
      469270 457276 451279 447283 436291 430295 425299 413304
      406308
 0.01 511765 510751 509744 507740 506735 504731 500729 484733
      479731 474733 464747 462749 458749 462743 465736 466732
      465726 463725 461727 457734 453740 448748 445754 440759
      436765 437770 438773 437777 434780 429785 418796 406803
      403806 399806 394803 386799 383802 380805 377808 373815
      372823 370832 367840 363847 361853 362856 365856 368858
      373858 378857 380862 384868 389873 394878 397886 400892
      403899 405903 409903 414904 417907 420914 421917 424919
      429923 433930 438935 445935 452932 457925 466917 472913
      475907 478896 480889 483880 484874 483867 481858 480854
      478851 476847 473843 468838 466830 465819 469798 476785
      481780 484779 487781 493785 496786 499786 507776 510771
      511765
 0.25 434633 440638 445645 447651 447657 445666 442675 438683
      431697 427706 422714 417722 412726 403740 394753 384769
      376782 358808 352815 346821 340827 335832 326844 321851
      316856 310863 305870 295880 291885 285890 281890 280889
      280886 282877 285868 287864 283861 278861 267863 261863
      257862 251859 245855 239849 235843 232833 232824 235816
      238808 239799 242792 247787 298749 313738 324729 331724
      336719 347707 359693 370682 389656 393651 397648 406641
 0.25 505297 507289 507284 506279 502275 494271 487272 480277
      474281 466285 463286 460290 454296 448300 441303 438306
      438309 438315 441318 450322 459325 467326 476325 484323
      495314 502306 505297
 0.25 475885 475882 475880 474879 473878 471879 470880 469881
      468883 467885 466887 466888 466890 466893 466894 467895
      468896 470895 472894 472892 473890 474887 475886 475885
 0.25 460800 460791 458784 454786 450790 444800 442804 438808
      434811 432815 430820 430828 426839 423843 421848 417853
      413855 410860 412866 417870 420872 425873 431873 442870
      447868 451865 452858 452854 449853 444854 441855 438854
      437849 441844 447837 450833 453828 456816 460800
 0.50 501301 504290 504284 503281 501278 497278 491278 484289
      476299 467309 461306 456306 450308 447312 461315 467315
      474316 480316 485315 491313 496309 499305 501301
 0.50 436652 434648 431645 425641 419640 413642 399651 393656
      390660 385667 380674 371685 354706 313747 304750 298754
      291759 287763 282768 276772 264779 258783 252789 249794
      246800 240813 238821 238828 237833 238839 242845 246849
      254850 264851 271849 285844 293841 299840 307842 313840
      318836 323831 332820 342809 353800 361790 370778 379765
      386753 402729 411714 417701 424689 430674 434662 435656
      436652
 0.50 426867 426866 425865 424864 422864 421863 420865 421865
      422865 424865 425867 426867 426867
 1.00 423660 423655 421650 418649 414649 404658 386677 377689
      369698 352717 332735 328739 326745 322750 316754 312760
      307764 300767 293768 270781 265785 260790 259793 259798
      257802 247811 244816 243822 242826 242831 244835 246837
      253838 260839 264839 268837 275835 280832 284828 289824
      292819 290817 290814 294810 299806 305802 310799 315796
      327788 337782 358767 360767 363765 368761 376751 390730
      397715 403704 417683 420678 422671 423660
 1.50 411668 409666 404666 397672 387683 376696 366708 356721
      345732 342740 339742 335745 330749 324755 313766 309773
      307781 304785 304789 311785 323775 331771 337766 342761
      346754 349751 353748 359743 363737 366730 370720 375715
      380710 387705 399693 408681 411674 411668
 1.50 297790 284788 278790 275792 270798 259807 252812 248817
      255830 258832 263833 268833 272830 278825 280822 279817
      273814 266815 267812 270811 275810 278808 290798 297790
 1.50 278782 277780 276780 275780 274782 272783 270785 269786
      267788 265789 265790 265791 267791 269790 271789 273789
      274788 276787 277786 277784 278784 278782
 2.00 379702 374705 368709 364715 360722 357729 355732 356735
      360729 363723 368718 373712 377706 379702
 2.00 335756 333754 329756 328757 326760 323762 322765 320767
      318768 318770 322770 325769 327767 329765 330763 332761
      334758 335756
 2.00 274824 275822 274820 274819 272819 270819 268819 267820
      267823 266825 267827 269827 271826 272826 274824 274824

24HR QP VT 11/00Z
 0.01 495611 501622 506634 508641 510651 511662 510670 508680
      506687 501700 498707 494712 489714 485712 481710 477704
      475700 472698 469699 465700 460703 456708 455713 455718
      453725 447727 442733 445736 449736 449741 449745 451745
      455747 458746 462745 465742 468740 471735 474730 477725
      481721 487719 493718 496719 498721 500724 500728 497736
      491749 485758 479769 472778 465785 457794 462799 466802
      471806 474810 478815 482821 484829 484836 486844 485846
      485851 484857 483865 483873 482880 477893 474899 469903
      465903 463900 462890 461882 460871 458869 454870 448870
      443868 439863 436864 431869 420870 417870 415867 410864
      404854 396841 393835 389831 383827 379829 378834 373835
      369832 364834 359837 355841 352841 349834 352828 356823
      364814 373806 383796 392789 403785 411779 414774 415770
      415767 417750 420744 423742 426741 428738 427735 420736
      420733 421729 417729 415731 408734 403737 397738 391741
      386743 382746 371752 364753 356755 353755 348754 342752
      340751 338748 335741 332730 337718 343710 350704 359695
      368686 377677 381672 387667 398660 407652 410649 412644
      422637
 0.01 552069 554057 553044 552039 550035 546028 539015 535008
      531001 523988 518983 514975 495954 490950 486944 476934
      478967 483983 485992 488000 504029 511042 514050 515055
      517057 525071 529077 537079 542079 547077 552069
 0.01 522264 521256 521245 521239 518235 512228 508229 500227
      496235 496240 496243 495245 489247 484251 477256 473262
      469269 464274 452284 442292 436296 429301 425306 424309
      428311 433312 435311 442309 448308 454305 461301 467299
      473299 471302 468303 465307 465311 468314 473316 475315
      479316 488319 499311 507298 512289 516280 522264
 0.01 438844 435842 431838 426834 422830 417830 407831 399830
      398834 401839 407845 413849 416853 420855 425855 429857
      436861 436851 438844
 0.25 467621 471622 476626 483626 487627 491630 494637 495643
      495647 493655 486665 477675 468682 455689 445696 432702
      406707 397705 390703 385699 386695 388688 393684 399681
      404677 408672 416662 424653 432642 438635 443632 446628
 0.25 515267 516258 515251 513245 510242 507243 504255 503257
      500258 495258 490258 484259 480262 477268 477276 479278
      483279 487279 491284 493290 498292 503290 507287 510281
      513274 515267
 0.25 423796 423794 421794 420796 420797 420799 422799 423796
      423796
 0.50 501275 500269 498266 494262 491260 487260 484261 480264
      481270 485273 490275 495277 499276 501275
 0.50 484649 484642 482637 476631 471627 468626 463627 459627
      454630 445634 439639 434646 424659 420666 419676 420681
      423684 427684 431683 438680 447680 455677 463672 477662
      481656 484649
 1.00 459647 458644 456643 453643 452644 449647 447649 446651
      444654 445658 447659 450657 452656 455653 456652 458649
      459647

$$





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