Skip Navigation Links weather.gov 
NOAA logo - Click to go to the NOAA homepage National Weather Service   NWS logo - Click to go to the NWS homepage
The Weather Prediction Center

 
 

 

Follow the Weather Prediction Center on Facebook Follow the Weather Prediction Center on Twitter
NCEP Quarterly Newsletter
WPC Home
Analyses and Forecasts
   National High & Low
   WPC Discussions
   Surface Analysis
   Days ½-2½ CONUS
   Days 3-7 CONUS
   Days 4-8 Alaska
   QPF
   PQPF
   Flood Outlook
   Winter Weather
   Storm Summaries
   Heat Index
   Air Quality
   Tropical Products
   Daily Weather Map
   GIS Products
Current Watches/
Warnings

Satellite and Radar Imagery
   Satellite Images
   National Radar
Product Archive
WPC Verification
   QPF
   Medium Range
   Model Diagnostics
   Event Reviews
International Desks
Development and Training
   Development
WPC Overview
   About the WPC
   Staff
   WPC History
   Accomplishments
   Other Sites
   FAQs
Meteorological Calculators
Contact Us
   About Our Site
 
USA.gov is the U.S. Government's official web portal to all federal, state, and local government web resources and services.
 
Quantitative Precipitation Forecast (QPF) Discussion
 
(Caution: Version displayed is not the latest version. - Issued 2222Z Dec 21, 2014)
 
Version Selection
Versions back from latest:  0   1   2   3   4   5   6   7   8   9   10   
 
Abbreviations and acronyms used in this product
 
Geographic Boundaries -  Map 1: Color  Black/White       Map 2: Color  Black/White


QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
522 PM EST SUN DEC 21 2014


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID DEC 22/0000 UTC THRU DEC 25/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

...PACIFIC NORTHWEST/NORTHERN AND CENTRAL ROCKIES...

THE LAST OF THE STRONG SHORT WAVES IN THE VERY FAST FLOW FROM THE
PACIFIC NORTHWEST INTO THE ROCKIES CROSS THE REGION BEFORE 23/12Z.
THERE IS SOME INSTABILITY AHEAD OF THE SHORT WAVES (DUE MOSTLY TO
STEEPENING MID LEVEL LAPSE RATES) ACROSS WY/CO...AND THE
CONVECTION SHOULD TAKE ADVANTAGE OF AVAILABLE MOISTURE AND TARGET
THE TERRAIN OF CO WITH ENHANCED QPF TOTALS. FOR THE MOST
PART...THE ONLY CHANGES TO THE 18Z QPF ISSUANCE WAS TO INCREASE
QPF AMOUNTS A BIT IN THE TERRAIN OF UT/CO...WHERE THE BEST WITH
THE SHORT WAVES OCCURS DURING THE EVENING.

OTHERWISE...UPPER LEVEL HEIGHTS WILL GRADUALLY RISE DURING THE
PERIOD AS THE BULK OF THE UPPER LEVEL JET ENERGY SHIFTS EAST OF
THE PACIFIC NORTHWEST AND THE RIDGE AMPLIFIES AND BUILDS IN THE
PERIOD. NEAR THE WEST COAST...AN ADDITIONAL 1-3+ INCHES OF QPF IS
EXPECTED ACROSS THE OR CASCADES...ALONG THE AXIS OF MOST ANOMALOUS
850-700 WESTERLY MOISTURE FLUX AND PRECIPITABLE WATER VALUES.
OTHERWISE...OVER TIME THE BULK OF THE UPPER LEVEL SUPPORT/DEEP
MOISTURE WILL SHIFT FARTHER DOWNSTREAM AND RESULT IN MODERATE TO
HEAVY PCPN AMOUNTS OVER THE FAVORED HIGHER TERRAIN AREAS OF THE
GREAT BASIN (ESPECIALLY ACROSS THE WASATCH RANGE)...AND INTO THE
CO ROCKIES. ADDITIONAL BASIN AVERAGE QPF AMOUNTS ARE EXPECTED TO
RANGE BETWEEN 0.50 AND 2.00 INCHES OVER THESE AREAS...WITH LOCALLY
HIGHER AMOUNTS ACROSS THE MORE FAVORED/ELEVATED TERRAIN.


...CENTRAL UNITED STATES...

VERY LITTLE CHANGE WAS MADE IN THIS AREA FOR THE 00Z QPF ISSUANCE.

A STRONG JET PUNCHING INTO THE PACIFIC NORTHWEST GRADUALLY LEADS
TO DEVELOPMENT OF LEE SURFACE LOW OVER THE PLAINS TONIGHT AND MON
WITH THE JET EXPECTED TO DIG SHARPLY SOUTHEASTWARD THRU THE
INTERMOUNTAIN WEST. AN AREA OF HEIGHT FALLS/PVA IS EXPECTED TO
SUPPORT AN AREA OF MIXED WINTRY PCPN FROM EASTERN MT INTO THE
DAKOTAS THROUGH MON AM...AS LOW PRES AND ITS ASSOCIATED PACIFIC
FRONT PUSH EAST ACROSS THE REGION. PER THE PMDHMD...A BLEND OF THE
ECMWF/UKMET/CMC WAS PREFERRED WITH THIS SYSTEM...GIVEN
INITIALIZATION ISSUES WITH THE NAM AND GFS. BOTH MODELS
WERE AGAIN A BIT FARTHER SOUTH WITH THE LOW TRACK BY 00Z TUE
(ALONG THE NE/IA BORDER) COMPARED TO THE ECMWF/UKMET (OVER ERN
SD). THEREFORE...AGAIN WPC OPTED TO REFRAIN FROM INCLUDING THE
WETTER NAM/GFS/SREF GUIDANCE ACROSS THE CENTRAL PLAINS/MID MS VLY.
THE UPSHOT IS A BROAD AREA OF QPF AMOUNTS AVERAGING BETWEEN 0.10
AND 0.25 INCH ACROSS MUCH OF THE AREA...WITH AMOUNTS CLOSER TO (OR
ABOVE) 0.25 INCH ACROSS THE EASTERLY FLOW UPSLOPE FAVORED TERRAIN
OVER EASTERN MT/NORTHEAST WY AND WESTERN SD.


...SOUTHEAST/MID ATLANTIC....

CONVECTION DEVELOPING SOUTH OF A STATIONARY FRONT EXTENDING ACROSS
NORTH CENTRAL FL IS TARGETING THE TAMPA BAY AREA EARLY THIS
EVENING. AS IS TYPICALLY THE CASE DURING THE COOL SEASON...IT
APPEARS AS THOUGH THE DEEPER INSTABILITY OVER THE EASTERN GULF OF
MEXICO IS HAVING A DIFFICULT TIME TRANSLATING TO THE WEST CENTRAL
FL COAST (AS EVIDENCED BY TRENDS IN THE MUCAPE AXIS DURING THE MID
TO LATE AFTERNOON). RAP SOUNDINGS FOR THE REGION SHOWED THAT THE
INSTABILITY IN PLACE NOW BECOMES MOSTLY ELEVATED WITH THE LOSS OF
DAYTIME HEATING...SUGGESTING THAT THE BEST SHOT AT HEAVY RAINFALL
OCCURS BEFORE 23/06Z. SINCE ONE AND THREE HOUR FLASH FLOOD
GUIDANCE VALUES HERE REMAIN IN EXCESS OF 3 INCHES...ORGANIZED
FLASH FLOODING IS NOT EXPECTED BEFORE THE CONVECTION BECOMES
ELEVATED.

FURTHER NORTH...ANOTHER LINE OF SHOWERS HAS DEVELOPED ALONG AN
ELEVATED FRONT EXTENDING FROM NEAR TLH NORTHEAST THROUGH SOUTHEAST
GA. RAP SOUNDINGS HERE SHOWS ELEVATED INSTABILITY DISSIPATING
THROUGH 23/06Z...BUT THE CURRENT ACTIVITY IS CAPABLE OF PRODUCING
AN AXIS OF 0.25 INCHES OF QPF. THESE AREAS REPRESENT THE CHANGES
FROM THE 18Z QPF ISSUANCE.

OTHERWISE...THE SLOWLY BACKING MID LEVEL FLOW AHEAD OF THE
SHARPENING UPSTREAM LONGWAVE TROF WILL DRAW DEEPENING TROPICAL
MOISTURE NORTHEAST FROM THE SOUTHERN GULF OF MEXICO TOWARD THE
EASTERN GULF ALONG QUASI-STATIONARY FRONTAL BOUNDARY. PRECIPITABLE
WATER VALUES INCREASE TO OVER 1.75 INCHES ACROSS CENTRAL/NORTHERN
FL BY 23/12Z.  THE COMBINATION OF INCREASED MOISTURE FLUX INTO THE
FRONT...AND STRENGTHENING RIGHT ENTRANCE REGION JET SUPPORT WILL
LEAD TO AN INCREASING THREAT OF RAIN/THUNDERSTORMS ACROSS NORTHERN
FL INTO SOUTHEAST GA WITH LIGHTER RAINS NORTHWARD INTO NORTHERN
VA.  MANUAL QPF GENERALLY FAVORED AN ENSEMBLE APPROACH GIVEN SMALL
DETAIL DIFFERENCES REGARDING TIMING OF WEAK MID LEVEL DISTURBANCES
LIFTING ACROSS THE NORTHERN GULF AND CONVECTIVE POTENTIAL OVER
NORTHERN FL. GENERAL 1-2 INCH AMOUNTS ARE POSSIBLE WITH LOCALLY
HEAVIER AMOUNTS WHERE STRONGER CONVECTIVE STORMS DEVELOP AND
POSSIBLY TRAIN.



DAY 2

PACIFIC NORTHWEST

ONSHORE FLOW WILL BE STRENGTHENING OVER THE PACIFIC NORTHWEST
DURING DAY 2 AS THE FRONT EMANATING FROM THE STRONG LOW OVER THE
NORTHEAST PACIFIC PUSHES TOWARD THE PAC NW COAST.  THE GFS AND
GFSP WERE THE SLIGHTLY SLOWER OUTLIERS WITH THE SOUTHEAST PUSH OF
PRECIPITATION--WITH THE REMAINDER OF THE GUIDANCE CLUSTERING
NICELY.  AT THE MOMENT--DAY 2 QPF WENT WITH THE MAJORITY CLUSTER
SOLUTION---SUPPORTING MODERATE TO HEAVY PRECIP TOTALS IN THE WA
CASCADES AND OLYMPIC RANGE.

NORTHERN PLAINS INTO THE UPPER MS VALLEY/UPPER LAKES

THERE ARE STILL SOME TIMING DETAIL DIFFERENCES WITH THE UPPER LOW
CLOSING OFF OVER THE UPPER MS VALLEY AT THE END OF DAY 1---WITH
THIS SYSTEM LIFTING NORTH NORTHEASTWARD DAY 2 TOWARD THE UPPER
LAKES.  THE NAM IS A LITTLE QUICKER TO SHOW THE ELONGATION OF THIS
ROUND CLOSED LOW---ALTHOUGH THE GFS AND EC DO HAVE THE SIMILAR
TRENDS.  AT THE MOMENT---A COMPROMISE BETWEEN THE GFS AND EC WAS
PREFERRED. WELL DEFINED COMMA HEAD/DEFORMATION PRECIP BAND
EXPECTED TO SUPPORT MODERATE PRECIP TOTALS OVER EASTERN PORTIONS
OF THE NORTHERN PLAINS INTO THE UPPER MS VALLEY/UPPER LAKES. 
HEAVY SNOWS POSSIBLE IN THIS COMMA HEAD AREA---WITH TOTALS
POSSIBLY ENHANCED IN THE VICINITY OF WESTERN LAKE SUPERIOR WHERE
EAST NORTHEASTERLY LOW LEVEL FLOW IS EXPECTED DAY 2.

LOWER LAKES---LOWER OH VALLEY INTO THE LOWER MS VALLEY

CONVECTION ALONG THE TRAILING FRONT FROM THE UPPER MS VALLEY/UPPER
LAKES LOW WILL BECOME INCREASINGLY ACTIVE DAY 2 FROM THE LOWER
LAKES INTO THE LOWER OH VALLEY AND LOWER MS VALLEY.  THERE ARE
DETAIL TIMING DIFFERENCES AMONG THE LATEST GUIDANCE---BUT SOME
AGREEMENT ON .25-.50"+ AREAL AVERAGE AMOUNTS.  A BLEND OF THE
NAM---GFSP AND IN HOUSE PSEUDO BIAS CORRECTED MEAN USED---ALTHOUGH
THE GFSP SOLUTIONS LATE DAY 2 WERE NOT FAVORED OVER AR/MO AS IT
BECOMES AN OUTLIER IN BEING MUCH MORE AMPLIFIED WITH THE SOUTHERN
PORTION OF THE UPPER TROF OVER THE SOUTHERN TO CENTRAL PLAINS

CENTRAL GULF COAST INTO THE SOUTHEAST

THERE IS BETTER MODEL AGREEMENT ON MODERATE TO HEAVY PRECIP ALONG
THE CENTRAL GULF COAST INTO THE SOUTHEAST DAY 2 IN AN AREA OF
STRENGTHENING MOIST SOUTHERLY INFLOW INTO THE WEST TO EAST
BOUNDARY EXPECTED TO MOVE ONLY SLOWLY NORTHEASTWARD DAY 2. 
CONVECTION MAY MAXIMIZE ALONG OR JUST OFF THE CENTRAL GULF COAST
WHICH COULD LIMIT THE NORTHWARD EXTENT OF HEAVY RAINS INTO THE
SOUTHEAST.  AT THE MOMENT---THE DAY 2 QPF MAX WAS KEPT ALONG THE
IMMEDIATE COAST AS PER THE ECMWF---GFSP AND IN HOUSE PSEUDO BIAS
CORRECTED MEAN.

NORTHERN MID ATL INTO SOUTHEAST NY---CENTRAL TO SOUTHERN NEW
ENGLAND

WEAK SURFACE LOW PRESSURE FORECAST TO PUSH SLOWLY NORTHWARD ALONG
THE NORTHERN MID ATLANTIC COAST DAY 2.  LIGHT TO MODERATE PRECIP
TOTALS POSSIBLE AHEAD OF THIS SYSTEM---WITH HEAVIEST TOTALS
EXPECTED FROM THE COASTAL NORTHERN MID ATLANTIC INTO SOUTHERN NEW
ENGLAND.

DAY 3

PACIFIC NORTHWEST

THE SURFACE FRONT APPROACHING THE PAC NW COAST DAY 2 WILL SINK
SLOWLY SOUTHEASTWARD INTO THE PAC NW DAY 3.  SUSTAINED STRONG
ONSHORE WEST SOUTHWESTERLY FLOW ALONG AND AHEAD OF THE FRONT WILL
SUPPORT ADDITIONAL MODERATE TO HEAVY PRECIP TOTALS FOR THE WA
CASCADES AND OLYMPIC RANGE.  WITH THE FRONT PUSHING
SOUTHWARD---MODERATE TO HEAVY PRECIP TOTALS WILL SPREAD SOUTHWARD
INTO THE OREGON CASCADES AND COAST RANGE.  INLAND THE
STRENGTHENING WEST SOUTHWEST LOW LEVEL FLOW WILL SUPPORT MODERATE
TO HEAVY PRECIP TOTALS FROM NORTHERN ID INTO NORTHERN MT.  THE
NAM---ECMWF AND IN HOUSE PSEUDO BIAS CORRECTED MEAN WERE USED FOR
QPF DETAILS AS THEY WERE FAIRLY SIMILAR WITH TIMING. 

OH VALLEY INTO THE LOWER LAKES

A LOT OF UNCERTAINTIES DAY 3 WITH THE UPPER TROF EVOLUTION ACROSS
THE MID SECTION OF THE NATION FROM THE UPPER MS VALLEY/UPPER LAKES
INTO THE SOUTHERN PLAINS.  THERE IS GENERAL AGREEMENT THAT THE
NORTHERN PORTION OF THE LONGWAVE TROF WILL WEAKEN---WHILE HEIGHT
FALLS ROTATING THROUGH THE BASE OF THE TROF AMPLIFY OVER THE
SOUTHERN PLAINS INTO THE LOWER MS VALLEY.  THIS AMPLIFYING UPPER
WAVE WILL SUPPORT A NORTHWARD MOVING SURFACE LOW FROM THE CENTRAL
GULF COAST INTO THE OH VALLEY AND TOWARD THE LOWER LAKES.  THERE
ARE RUN TO RUN DIFFERENCES AND MODEL TO MODEL DIFFERENCES WITH
THIS SYSTEM---LEADING TO LOW CONFIDENCE WITH QPF
AMOUNTS---ESPECIALLY ON THE WESTERN END OF THE QPF AREA WHERE THE
SURFACE LOW STRENGTH IS VARYING AND AFFECTING THE QPF AXIS.  AT
THE MOMENT---WITH THE 1200 UTC ECMWF TRENDING TOWARD THE 1200 UTC
GFS STRONGER SOLUTION---THE QPF WAS A BLEND OF THE 12Z EC AND 12Z
GFS FROM THE OH VALLEY INTO THE LOWER LAKES.  THE 12Z GFSP WAS AN
OUTLIER WITH A FARTHER WEST AND STRONGER LOW FROM THE OH/MS
CONFLUENCE INTO NORTHERN IL---WITH A MUCH FARTHER WESTWARD QPF
AXIS.  AT THE MOMENT---LITTLE WEIGHT WAS GIVEN THIS SOLUTION.

EAST COAST

BETTER OVERALL AGREEMENT FARTHER TO THE EAST FROM THE EASTERN GULF
COAST---NORTHEASTWARD ALONG THE EAST COAST INTO NEW ENGLAND.  WITH
PW VALUES EXPECTED TO BE WELL ABOVE AVERAGE TO THE EAST OF THE
AMPLIFYING UPPER TROF---WIDESPREAD MODERATE TO HEAVY PRECIPITATION
TOTALS ARE LIKELY FROM THE FL PANHANDLE/NORTHERN FLORIDA---ALONG
THE EAST COAST INTO NEW ENGLAND.  HEAVIEST TOTALS STILL EXPECTED
ALONG THE SOUTHERN END OF THE PRECIP AREA FROM THE EASTERN FL
PANHANDLE INTO NORTHERN FLORIDA AND THE SOUTHEAST WHERE CONVECTION
MAY BE MOST ACTIVE.  THERE MAY BE SOME RUNOFF ISSUES OVER THE
EASTERN PORTIONS OF THE FL PANHANDLE INTO NORTHERN FL AND INTO
SOUTH GEORGIA WHERE TRAINING OF CELLS IN A GENERAL SOUTHWEST TO
NORTHEASTERLY DIRECTION MAY OCCUR.  A SLIGHT RISK WAS DEPICTED
HERE ON THE DAY 3 EXCESSIVE RAINFALL POTENTIAL OUTLOOK.  A SLIGHT
RISK WAS ALSO DEPICTED OVER THE UPSLOPE AREAS OF THE SOUTHERN
APPALACHIANS FROM UPSTATE SC INTO FAR NORTHERN GA AND FAR SW NC. 
HOWEVER---THE EXPECTED ACTIVE CONVECTION ON THE COAST MAY DISRUPT
CONVECTION POTENTIAL FARTHER NORTH---WITH LOW CONFIDENCE ON QPF
AMOUNTS HERE.


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

HURLEY/HAYES/ORAVEC


24HR QP VT 23/00Z
 0.01 510297 506291 502287 497281 493275 492270 491266 489260
      486256 470252 464255 462265 459278 458282 453281 445282
      439281 436275 435267 434257 433255 430253 422253 414251
      409250 406250 396248 390245 390239 389236 389233 392230
      394229 403228 405228 407223 402217 396212 397206 399208
      399206 401208 405210 409213 412213 411211 410206 410200
      415195 416191 416187 415183 412179 407173 403170 399170
      397171 395168 396158 396152 399149 411140 415135 418128
      417125 413124 409128 400138 398141 395138 388133 384132
      382130 376133 373129 376124 377121 378116 380112 383109
      388105 394102 398100 396096 389098 383099 378097 373091
      370085 368077 369074 367071 365071 357082 354082 352080
      351077 352075 356073 357069 357064 356059 355051 352045
      348039 346036 346030 346026 348022 350016 355016 360022
      364020 367023 373027 375028 377026 378023 381021 384022
      390026 396030 401034 410037 417038 422043 427048 429052
      431056 431061 433065 438068 442069 445069 450075 452079
      451081 448081 441078 437078 433077 426074 421073 420075
      422081 427087 434091 442091 451092 461101 466102 468100
      467098 468092 470090 473092 476091 477095 479099 480109
      477114 472116 469115 467118 468120 470123 476126 483129
      486133 487137 482152 484156 483161 479167 473167 467169
      464170 463176 463181 461185 457193 455199 456202 458203
      464202 471201 477199 483198 490198 496203 501208 504215
      508222 514228 517227 518220 516212 513206 508200 501194
      498191 497187 493181 493176 492171 492165 493161 497159
      500160 500156 502152 506153 507156 516164 522170 527177
      534188 542198 533230 531232 530232 526233 525228 524224
      521226 520231 521234 522240 523242 525245 526247 527249
 0.01 545144 544136 543133 538120 535114 532106 528101 526096
      522083 519077 516069 520067 519062 513051 510046 510040
      513035 515033 514030 517025 518022 516019 513015 511013
      508014 503024 499027 497031 494028 488027 483022 475014
      473010 475007 478000 481995 487983 491977 493971 496957
      496951 497948 500940 505911 530869 530864 531859 531850
      529846 525844 515837 507830 502827 499826 494830 491835
      491838 488839 483836 479838 474841 468843 464846 460852
      457858 455864 451869 442865 433861 422858 420859 417860
      412861 404864 399866 363892 346904 335912 326917 322920
      321924 321929 321937 324940 330947 335952 341954 359963
      371968 377977 388984 394986 396987 398990 398996 401004
      406014 414019 417023 419031 435047 439052 444055 452061
      456064 462068 473073 480079 484083 488088 490096 490101
      491106 493112 495118 502124 511132 531146 534150 539150
      543147 545144
 0.01 547906 546899 543895 534896 531899 529899 526904 524909
      521915 519919 519928 522941 522951 525957 527960 530960
      531958 532941 532932 534925 537923 541917 543913 547909
      547906
 0.01 460308 461306 460308 460308
 0.01 451674 449670 446670 443674 441674 435676 432678 426684
      423687 420692 423699 425705 428708 432711 435711 439712
      442710 446707 448703 450699 450694 451681 451674
 0.01 443128 444123 443120 441118 439118 437120 434120 432122
      430125 429127 429132 429136 430138 434138 435136 436133
      438131 440129 443128
 0.01 224877 230881 235881 239883 253893 254897 254904 252912
      250921 249927 248931 244950 245962 249964 259966 263961
      267954 270951 276950 281946 286940 292933 296926 301918
      303911 306901 310892 323883 329876 331873 333869 337862
      340858 342857 356844 361843 363841 368836 371831 372826
      374816 376805 379801 384800 397791 402785 406778 408768
      409762 409758 404738 401732 399730 392724 381713 364710
      355711 349712 347709 339689 336687 332687 325692 321701
      318710 312725 309735 303740 297745 294752 290773 288777
      288783 284790 280798 276804 272810 268818 264825 259832
      249843 236855 229860 222868
 0.25 516285 513282 511280 510278 508275 507272 506269 506263
      507258 507253 507251 508248 511248 513250 515253 517255
      520258 521259 524261
 0.25 491217 491211 487207 482205 478205 470210 463214 459216
      454215 444215 439213 434214 426218 423219 421221 420225
      424234 420234 415235 414238 417242 427245 436244 440242
      443238 445233 449229 456224 459223 464222 471219 475217
      480217 491217
 0.25 491876 492872 491868 489864 485862 482861 479864 476867
      474872 474877 476880 481882 485883 488881 491876 491876
 0.25 481138 481135 480135 479134 477133 476132 474131 473131
      471133 470135 469138 470140 470141 472142 473142 475142
      477142 478141 480140 480139 481138
 0.25 470155 470150 468145 465142 462139 458137 455139 453142
      452149 452154 456157 460158 463158 466160 469158 470155
 0.25 471043 471038 469038 467039 464040 462042 460042 457044
      456047 457049 459052 461053 464053 466051 468049 470046
      471043
 0.25 453186 453183 450181 447180 444181 442183 440185 440190
      441193 443194 446194 447192 450190 452188 453186
 0.25 450044 451039 451034 452029 449027 445027 442027 440030
      438033 437035 437040 438043 440045 442048 444049 447048
      449046 450044
 0.25 432171 433166 431162 427156 424150 422140 419139 417142
      413148 411153 409155 408160 410163 412165 417167 420168
      421173 426174 430173 432171
 0.25 432109 432106 428105 421105 417111 415111 414108 411102
      407098 404105 402107 398108 392109 387112 383117 380124
      384127 389125 393123 396124 402127 405126 407123 411119
      415119 418118 421117 424115 425112 428111 432109
 0.25 433099 432097 431095 431094 429093 428092 427094 427095
      428096 429098 430099 431100 432101 433099
 0.25 428987 429983 428978 426975 424975 421974 417974 416975
      415979 417982 419984 420987 421989 424991 426990 428987
 0.25 420884 420881 420880 419879 418878 416878 414879 413882
      412882 411884 411887 413888 414886 415886 416886 418886
      420885 420884
 0.25 414073 415066 414061 407055 402054 397054 389057 384058
      382060 379065 376067 374067 373071 374078 374082 377086
      387087 391085 396085 403081 405077 410075 414073
 0.25 386760 385754 382747 378741 374736 365729 354722 344718
      335709 322730 315740 308751 303762 299775 294786 287798
      282809 277822 270831 261840 252847 243855 239859 236864
      235869 237873 242877 248879 253880 262880 268876 272873
      276876 282889 282896 284900 291891 300882 301875 304869
      308863 311858 318849 323838 328832 332827 336821 339816
      347808 351804 356800 360794 365790 373789 377786 384772
      386766 386760
 0.50 522266 520265 519263 517263 516262 514261 512261 511262
      510262 510265 510266 510268 511270 511271 512273 512274
      514276 514277 515278 516280
 0.50 451222 451219 449218 444216 439215 435216 431218 427219
      424222 424225 426227 429230 434232 439231 442229 446227
      449224 451222
 0.50 429168 429166 428164 426165 425167 425170 427169 429168
      429168
 0.50 420152 420151 420149 419149 418149 417151 417153 416153
      416154 418156 419154 420152 420152
 0.50 419161 418159 418157 416157 415158 415160 416161 417162
      419161
 0.50 418116 417115 415115 413115 412115 411115 412115 413117
      415116 417116 418116
 0.50 408117 410112 410108 409105 406105 403109 396110 391112
      387115 384120 384123 388123 392121 399120 404120 408117
 0.50 413071 410063 405058 397057 391060 386064 382070 379072
      376076 377081 379080 386077 389080 393080 400079 403072
      412072 413071
 0.50 379764 373756 370749 367744 359734 356730 351727 343722
      337718 332722 320743 310762 299783 293792 290798 289804
      284815 278826 272833 263841 255847 246855 240863 239868
      242873 248875 253875 259873 264870 284859 292853 297850
      303848 307844 311840 316828 326806 330795 334785 341775
      349767 355756 356754 360752 365754 370759 370763 367777
      372777 376773 378769 379764
 1.00 442222 442219 440217 438217 436218 433219 431220 428221
      426223 428225 432226 433227 436228 439226 441224 442222
 1.00 347736 347730 344728 340725 337726 335728 326743 317759
      308775 299790 297795 297799 299804 300811 297814 294813
      290815 287819 277833 271839 264845 250855 244860 243866
      246869 250869 255867 262863 276853 292843 299839 305833
      309826 311820 312815 314806 318797 322788 326779 336765
      341758 345749 347736
 1.50 438221 438220 436220 434220 436222 438222 438221
 1.50 342739 343735 341731 337734 330745 323756 316768 310779
      307784 305791 306794 309795 312794 314792 320780 327769
      334758 339746 342739
 1.50 292830 289826 286827 284829 277837 268845 265849 260852
      250857 246861 246865 251864 257861 262858 265854 272846
      281842 289835 292830
 2.00 326764 326762 325761 324762 323763 321765 320767 319770
      318770 318772 318774 319775 321774 322772 323771 324769
      325766 326764 

24HR QP VT 24/00Z
 0.01 536218 538207 538200 536188 534182 531176 528172 524167
      519164 515161 510161 498163 491162 488161 487159 482155
      475153 474151 471150 467145 461143 459145 459150 462156
      465159 473166 476165 480165 482166 484169 487172 488175
      489183 490189 489194 486197 481201 477203 467207 460207
      455211 450212 446216 438221 434225 435230 436233 435235
      432238 431244 443246 442252 442259 454263 461267 467270
      480276 487285 495294 502297 507294 514284 520271 523264
      522257 522252 520247 517242 505219 503212 504208 505205
      511202 513202 515206 521217 527226 530229 533225 536218
 0.01 510967 510957 509949 506942 504937 501926 500917 502908
      504898 505895 505891 505879 505868 504857 502847 499841
      494827 491822 487816 481805 477798 473792 469784 466777
      462758 460749 458742 460726 461721 460717 459706 456702
      451697 447695 443691 437685 432682 426680 418678 413679
      407683 398691 386697 382699 380702 377705 376709 374711
      369716 358721 349724 344728 339733 335740 324747 321748
      318750 314755 311758 306765 303768 300773 297778 290782
      287786 285791 284794 285800 286807 288819 286827 274844
      270850 267855 264862 264868 267870 267874 265880 260892
      259901 257907 254915 253923 251938 248952 248961 250966
      253970 259972 263972 265970 270967 275969 282969 287969
      288970 292969 294966 299961 302958 305960 312015 315030
      316036 316045 318052 319057 323058 336064 341069 346069
      351071 357072 363070 367070 370073 372080 376085 389089
      394088 399085 403079 409076 416074 421069 424068 428069
      432073 436074 438072 442074 445077 449079 452079 455077
      465073 476069 483060 483049 479042 474036 471029 472018
      476012 480007 483001 489990 493986 497985 499983 501979
      505975 510967
 0.01 429123 429117 427114 425112 421112 413112 411103 411099
      409096 406095 406100 405105 401108 394109 390109 387111
      381115 377119 374122 373125 377130 382127 394119 408117
      417119 421121 421124 423127 426125 429123
 0.01 431928 430920 427918 423913 419910 413903 409900 404899
      393901 389902 382903 378906 375909 369917 359936 350954
      346961 340971 335980 334986 335992 339994 343996 348006
      355026 358031 361033 368041 375047 379050 385051 390050
      394050 400052 406051 409049 412046 408038 404033 401032
      396028 396024 395020 395006 397995 398983 394972 391962
      393952 397942 400936 403931 407929 411928 417928 419931
      423933 426931 429930 431928
 0.01 409777 405776 400777 398779 393780 392782 388781 385781
      382779 374765 369761 364758 361755 356755 352757 350760
      347766 344774 343777 349777 353776 357774 363775 368777
      376780 381784 394788 398788 401785 405783 407780 409777
 0.25 529199 528195 524192 522188 519184 516182 511178 510182
      510186 512189 516193 519194 523193 525198 529200 529199
 0.25 514272 517265 516257 513247 505230 501220 497213 493210
      487208 483208 479209 476210 472213 466219 464222 463229
      460233 456236 456238 459244 467248 473256 480261 485263
      487267 491276 497284 501287 505288 508285 510280 514272
 0.25 497247 497241 494236 492232 490229 485226 481226 482232
      483237 486236 490239 493243 494248 494246 496246 497247
 0.25 478225 478223 477223 476223 475224 475225 477225 478225
 0.25 492891 492873 492866 491858 488852 485847 478837 465823
      448817 442809 437808 433809 421812 409817 398820 389825
      375836 370835 366831 364828 361823 355813 352809 347805
      344803 337803 332804 327803 324801 318801 315799 312800
      311804 300819 288839 276879 270899 267910 266919 268927
      271937 275947 278950 282952 289947 296941 303936 315931
      327933 331931 335929 342923 350917 357911 364905 371899
      389886 397880 405875 414870 419869 423872 423878 426883
      429894 439899 443903 444911 443942 443958 440961 436964
      426968 424971 422976 420983 421990 424004 426010 429014
      434014 437011 443004 449995 452991 453986 454978 454971
      453963 457960 462958 467955 474949 478945 480940 484928
      486917 490902 492891
 0.25 425701 423694 419693 414697 412701 407712 395714 391717
      389723 389727 392732 394738 398740 409740 414739 417735
      422725 424720 425713 424706 425701
 0.50 513263 512255 510249 508243 504237 501236 501233 499226
      495223 495231 498237 501243 503249 506255 508261 510265
      513263
 0.50 506282 507274 506266 502261 498257 494251 491245 488241
      485243 482243 480239 479233 476231 474232 469235 468237
      468241 472246 475251 480254 489263 495275 498279 504283
      506282
 0.50 490219 490218 489216 489214 487213 486212 484211 482211
      481211 479212 477212 475214 476217 478219 480219 481220
      483221 484221 486221 488221 489221 490220 490219
 0.50 485884 485870 484864 482861 476856 473855 470852 465845
      462842 459842 455842 452845 449853 449859 448865 446868
      442870 441874 443879 447882 449885 452889 456894 459905
      463913 467920 470923 474922 478915 480905 483895 485885
      485884
 0.50 424824 422822 419823 414824 408827 401831 387852 379859
      373862 364863 359860 356855 354845 355837 354827 349824
      340823 336824 333824 329820 323816 317816 311818 305821
      301824 295837 292843 290849 288862 283875 279890 275903
      274910 274914 275918 279929 281933 283935 288936 290934
      308919 316911 321907 327902 336895 339894 343895 344901
      337910 335913 335917 341915 347913 352910 361903 369895
      380886 389878 398869 401864 405861 413857 417853 420847
      421841 418840 414840 412840 412835 414832 418829 424824
 1.00 492256 492254 491253 490252 490254 490255 491256 492256
 1.00 478240 479238 477235 476234 475234 474236 474237 474238
      474239 475240 477241 478240
 1.00 389870 387868 382870 375874 368878 361885 357892 353901
      357901 360898 366891 372886 379880 384874 389870
 1.00 328859 327854 325849 319841 315831 311828 307828 303829
      300834 297843 291863 286883 280904 281914 284917 288916
      298912 301909 302905 306894 307890 310886 315878 318874
      321871 326865 328859
 1.50 316847 312841 308836 305835 302837 300844 299853 297860
      292876 287891 285898 283906 284909 288911 293906 298901
      301895 305888 308882 310874 314867 315860 316849 316847
 2.00 308867 309860 307856 305855 302858 299866 296876 293885
      291893 289898 288904 290906 293901 297895 301886 304878
      308869 308867


24HR QP VT 25/00Z
 0.01 437631 452632 464632 490643 494649 497658 502668 505679
      510694 517711 520721 524730 528745 540788 541802 542817
      541821 541829 541839 539863 535878 534884 534891 532902
      528906 525912 520918 514921 500927 494933 492940 488951
      484961 482967 481971 479972 465977 452981 446979 439978
      435976 431976 425974 416971 412970 408968 402966 396961
      394960 391956 389947 391940 395935 401931 403926 403919
      413910 423904 438897 446896 449894 453893 460890 462888
      462883 462876 459867 454861 451855 449854 445855 437857
      431860 417867 407874 400879 397882 395884 390889 387891
      383892 375895 370898 354906 348909 341912 335915 328916
      319916 312920 302925 289931 272935 261936 257936 254937
      244928 235918 231913 229912 231910 234901 234892 233882
      231877 231871 232867 231862 229860 225855 223844 222837
      224829 226821 229814 232809 236804 242800 244798 249797
      257794 266793 281792 289792 295789 308779 321767 331756
      347736 352729 356725 364715 383690 393675 397669 401662
      404657 408651 413646 419642 432633
 0.01 534206 534200 532196 529189 526181 524175 525170 526166
      525158 520151 512149 509147 507143 504135 501129 493112
      489104 486093 484090 481089 477088 475084 473081 471083
      468085 467087 465092 462096 459098 454097 452095 449097
      443096 439098 435102 435108 437110 444123 448124 450120
      452116 454113 456113 460116 461122 462126 460131 452145
      441136 438136 435141 434153 432159 429162 427166 426172
      426178 427183 426188 424191 423197 419199 415198 413200
      411209 409212 405211 399208 395207 395210 401218 404221
      404226 401236 398243 399248 401252 408256 411259 415261
      424263 440265 454265 463267 473270 481275 484279 488282
      490284 493284 500286 507287 512282 515279 517275 519263
      519252 517241 514233 511225 503210 499203 495194 496190
      497188 500191 503195 508197 513203 515206 518207 521206
      527207 531208 534206
 0.25 516185 516179 513174 508166 491155 493143 492137 489133
      482126 477125 472126 471130 470139 467143 463146 461151
      459156 458168 454180 453184 454186 456187 460186 463183
      466178 469175 473174 478175 486177 496179 505182 511186
      516185
 0.25 501238 502233 501231 500222 498215 495210 492206 489203
      485202 475204 454211 444215 433216 429218 426220 425225
      426230 423232 418233 413235 411237 411242 412245 415248
      419250 432254 440257 445257 467255 477253 482252 486249
      488244 487240 483235 484230 486228 490230 492230 495234
      498237 501238
 0.25 517858 517853 516850 514843 514830 513819 512809 510792
      508775 505761 502744 498727 491698 490689 487681 485675
      481670 473664 464659 455656 445656 438657 432659 424665
      417672 409683 403693 398703 393713 385721 367732 358739
      350747 342754 333763 320778 306792 290807 286810 280813
      272817 266820 261821 251817 245819 241821 236829 234834
      234840 235844 238846 244847 243856 245862 246872 244877
      242882 239892 241897 245900 249902 254902 257903 259907
      263910 275912 282911 285908 294899 309886 318881 322881
      326883 332891 335893 340892 347891 357889 367887 374884
      379881 384878 389876 399871 407866 426853 436847 448842
      458839 468838 473841 477844 480848 482852 484860 485870
      485886 485893 486900 489904 492903 497898 500892 506880
      508875 510867 517858
 0.50 492222 493218 493215 490209 486206 482206 465211 449216
      433220 429222 429227 430232 427236 417236 416240 417242
      420245 425248 431249 442252 451253 459251 467249 477248
      480246 481242 481238 480232 480226 492222
 0.50 489142 489137 488134 486132 484130 481129 478129 476129
      473131 473136 473140 477141 478143 481144 485144 487144
      489142
 0.50 484166 483160 480157 477154 474150 471148 466147 464151
      465159 466163 469167 474167 479168 483167 484166
 0.50 476687 473680 470676 464669 460666 456665 449665 443665
      437667 433669 424676 415684 413690 411697 409702 406707
      401716 395724 385733 366744 347756 340764 333771 318787
      301802 286815 278822 270826 260834 257837 255841 261844
      259849 259856 256862 252872 250876 249883 251889 257890
      265894 273899 278899 282899 287896 317868 322865 327863
      331864 334867 335871 337874 341877 346879 352880 363877
      376874 387871 397867 413856 432843 441837 449831 454826
      456819 459815 464812 468809 466807 467804 469800 465797
      461795 455794 448796 441798 430800 423803 420807 414809
      408810 404811 398814 387819 383820 380819 379814 380807
      386795 388791 392785 395781 401781 405779 409775 411771
      414767 425766 434763 440759 443757 446758 451758 456756
      457750 458745 464735 465728 466720 466712 466707 468704
      473695 476689 476687
 1.00 487218 485216 485215 484213 482212 481212 479212 477212
      475213 474214 473214 472216 471216 473218 475218 476218
      478218 480218 482218 483218 485219 487218 487218
 1.00 468220 466218 463216 459216 457217 454218 452220 455223
      457224 460227 463227 465225 467222 468220
 1.00 462240 462235 460233 457233 453234 450234 444235 441237
      438241 441245 446248 451248 455246 459245 461242 462240
 1.00 448685 445681 442681 437683 433685 430688 427691 425696
      425699 426703 430703 436701 439699 444696 446693 448687
      448685
 1.00 413838 412833 409831 403831 396832 390835 379843 369851
      364854 360859 355863 353866 355866 359867 363866 370864
      376861 381857 388856 393856 399853 404849 409845 412839
      413838
 1.00 364791 364780 363774 362769 358768 353770 348774 341777
      334782 322792 300811 277830 273836 271844 266860 264867
      263871 265875 269877 274876 277874 279873 280875 281885
      283888 288888 291886 294883 298877 306865 316855 322851
      329846 336845 345846 352844 354840 355834 356815 361802
      364791
 1.50 450239 449237 448236 446237 444237 443240 444240 445240
      447241 449241 450239
 1.50 340832 338825 335819 333814 335808 336802 334796 333793
      330792 325797 322800 316803 311805 306810 297817 289824
      282833 277842 275856 271867 274869 279867 284867 286871
      285875 285878 287881 290881 294876 296872 303863 311855
      320847 327840 340832
 2.00 321836 320829 316824 315817 316811 315808 311808 306812
      298819 291827 284835 281842 283849 283854 286860 291862
      298859 307854 316847 319842 321836
 3.00 307842 306841 305841 303842 302842 301843 299844 298847
      300847 301847 303846 305845 306844 307843 307842