Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 012221
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
620 PM EDT WED JUL 01 2015


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID JUL 02/0000 UTC THRU JUL 05/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR



DAY 1...

...NORTHERN/CENTRAL PLAINS THROUGH MID MS VALLEY/TN VALLEY INTO
THE SOUTHEAST/SOUTHERN MID ATLANTIC...

THE MAIN CHANGE FOR THE 00Z ISSUANCE WAS TO MOVE THE MAXIMUM QPF
FURTHER SOUTHWEST ACROSS MO...IN BETTER AGREEMENT WITH THE LATEST
HRRR/RAP RUNS. THE BEST INSTABILITY WAS RESIDENT OVER EASTERN
KS/SOUTHWEST MO LATE IN THE AFTERNOON...WHICH IS CLOSE TO THE
POSITION OF THE LATEST HRRR/RAP. CONVECTIVE INITIATION IS EXPECTED
AFTER THE THE MID LEVEL CAP IS BROKEN...AND THE LATEST NAM
SIMULATED IMAGERY SHOWED THE INITIAL DEVELOPMENT OF AN MCS OVER
WEST CENTRAL MO AFTER 01Z...WHICH THEN TRACK SOUTHEAST ALONG THE
INSTABILITY AXIS. THE TRACK PLACES THE AXIS OF HIGHEST QPF THROUGH
02/12Z ACROSS PORTIONS OF SOUTH CENTRAL MO THROUGH SOUTHERNMOST
IL...WHICH IS CLOSE TO THE LATEST HRRR PLACEMENT OF THE HIGHEST
QPF.

PRECIPITABLE WATER VALUES PEAKING NEAR 2.25 INCHES (WHICH IS OVER
TWO STANDARD DEVIATIONS ABOVE THE MEAN) SHOULD RESULT IN HIGH
RAINFALL RATES...BUT THE SYSTEM SHOULD TRACK SOUTHEAST SO THAT
VERY HIGH QPF AMOUNTS (LIKE THE 18Z NAM CONEST...WHICH SHOWS 9.53
INCHES OF QPF IN 6 HOURS OVER WEST CENTRAL MO) APPEARS TO BE
UNLIKELY. THERE WAS AGREEMENT AMONG SOME OF THE HIGH RESOLUTION
MODELS SOLUTIONS (SUCH AS THE 12Z NMMB... 18Z NAM CONEST AND 12Z
SSEO MEAN) FOR PLACING THE MAXIMUM QPF FURTHER SOUTHWEST....THOUGH
THERE WAS STILL SOME SPREAD ON WHERE TO PRECISELY PLACE THE AXIS.
A BLEND OF HIGH RESOLUTION GUIDANCE SOLUTIONS WAS USED...AND
PLACED ALONG THE EXPECTED POSITION OF THE INSTABILITY AXIS.

A SECOND CHANGE WAS MADE ACROSS WESTERN NE...WHERE SOME OF THE
HIGH RESOLUTION GUIDANCE SUGGESTS THAT A CLUSTER OF CONVECTION
COULD RESULT IN QPF AMOUNTS NEAR AN INCH HERE. CONVECTION THAT
INITIALLY DEVELOPS ACROSS WESTERN ND/SD TRACKS
SOUTHEAST...CROSSING AN INSTABILITY AXIS ACROSS WESTERN NE. THE
CHANGE WAS FAIRLY MINOR...AND EVEN WITH THE CHANGE...ORGANIZED
FLASH FLOODING IS NOT EXPECTED.

OTHERWISE...THE BROAD MEAN UPPER TROUGH IN PLACE ACROSS THE
EASTERN TWO-THIRDS WILL KEEP INTACT THE ACTIVE NWRLY FLOW
REGIME...IDEAL FOR CONVECTIVE CLUSTERS AND HEAVY RAIN. MULTIPLE
MCS ACTIVITY ACROSS THE MID MS VALLEY OVERNIGHT INTO THIS MORNING
IS BEGINNING TO MOVE ACROSS THE TN VALLEY WITH EXPANDING COVERAGE
OF DIURNAL CONVECTIVE HEAVY RAINS. THE GUIDANCE OVERALL SLIDE THIS
FEATURE TOWARD THE SOUTHERN APPALACHIANS BY TONIGHT BEFORE
PRESSING THROUGH THE SOUTHEAST/SRN MID-ATL REGION THURS
MORNING/EARLY AFTN. ON THE HEELS OF THIS SHEAR AXIS IS ANOTHER
IMPULSE UP NEAR ERN NE/WRN IA. THIS SMALL SCALE FEATURE IS
EXPECTED TO DIVE SSE AND INTERACT WITH A QUASI-STATIONARY
FRONT...POOLING 2 INCH PWS AND A LIKELY INCREASING LOW LEVEL JET
FOR ANOTHER ROUND OF CONVECTIVE RAIN ACROSS MO. ANOTHER MCS IS
ANTICIPATED BEFORE THIS SYSTEM ADVANCES DOWNSTREAM THROUGH KY/TN
AND ARRIVES INTO THE CENTRAL/SRN APPALACHIANS BY THURS EVENING.
FINALLY A WELL-DEFINED SHORT WAVE TROUGH NEAR SRN ALBERTA/EASTERN
MT WILL DIG DOWN THROUGH THE NRN AND CENTRAL PLAINS TO HELP
RE-ENFORCE THE BROAD UPPER TROUGH BUT LOW LEVEL MOISTURE CONTENT
IS NOT EXPECTED TO BE AS SUBSTANTIAL IN THIS AREA. THUS EXPECT
MORE SCATTERED SHOWERS AND STORMS FROM THE DAKOTAS INTO NE/KS. FOR
THE MOST PART THE OPERATIONAL GUIDANCE AND HI-RES SUITE HAS THIS
MASS FIELD/SYNOPTIC SCALE PATTERN DOWN BUT DIFFER ON THE DETAILS
OF THE SMALL SCALE FEATURES AND THEN VARY ON QPF. WPC STARTED OFF
WITH A BLEND OF THE 12Z NAM/GFS AND ECMWF ON THE FIRST SYSTEM
MOVING THROUGH THE APPALACHIANS AND SOUTHEAST/SRN MID-ATL
STATES... THEN PREFERRED THE ORIENTATION OF THE NAM/ECMWF WITH THE
ACTIVITY FROM THE MID MS VALLEY INTO THE TN VALLEY AS GFS APPEARS
TO DEEP ON THE POSSIBLE SURFACE WAVE AND NORTH WITH QPF OVER THE
OH VALLEY. FINALLY WPC PREFERRED A BLEND/COMPROMISE OF THE
GUIDANCE OVER THE PLAINS.


...INTERMOUNTAIN WEST/ROCKIES...

THE ONLY CHANGE FOR THE 00Z ISSUANCE WAS TO INCLUDE A BIT MORE IN
THE WAY OF QPF FOR THE HIGHER TERRAIN OF CENTRAL AZ. THE LATEST
NAM SIMULATED IMAGERY SHOWED AN MCS FORMING IN THE BEST
INSTABILITY AXIS OVER WESTERN NM AFTER 2/02Z...WHICH THEN TRACKS
WESTWARD. MODEL SOUNDINGS SHOWED DRY AIR IN THE LOWER AND MID
LEVELS...SO HEAVY RAIN CORES SHOULD BE SCATTERED AT BEST. THE
HIGHEST QPF WAS PLACED IN THE TERRAIN...WHERE LOCAL UPSLOPE FLOW
SHOULD ENHANCE LOW LEVEL CONVERGENCE.

OTHERWISE...THE ANOMALOUS UPPER RIDGE OVER THE WEST WITH THE
CENTER OVER THE GREAT BASIN WILL REMAIN IN THE PICTURE FOR ANOTHER
DAY. ANOMALOUS MOISTURE FLUX FROM MEXICO WITH AN EXTENDED SHEAR
AXIS ALOFT CONTINUES TO CUT UNDERNEATH THE RIDGE AND WILL DO SO ON
THURS... THUS EXPECT ISOLATED TO SCATTERED SHOWERS/STORMS FOR
STRETCH FROM AZ UP INTO CA/NV. MEANWHILE... WATER VAPOR IMAGERY
SHOWS MOISTURE HAS PENETRATED THE RIDGE CENTER AND IS POOLING
ACROSS THE CENTRAL ROCKIES. THIS WILL LIKELY RESULT IN DIURNAL
ISOLATED TO SCATTERED ACTIVITY BUT A SHORT WAVE OVER THE ERN PAC
IS EXPECTED TO TRACK OVER THE TOP OF THE RIDGE TO THE NRN ROCKIES
BY THURS EVENING AND COULD EXPAND THE COVERAGE FROM NWRN MT TO CO.
WPC GENERALLY FOLLOWED A BLEND/COMPROMISE OF THE DATA.




DAYS 2/3...

...CENTRAL PLAINS EWD THRU THE MID MISSISSIPPI VALLEY/TN
VALLEY/MID ATLANTIC/SOUTHEAST STATES...

A BROAD UPPER TROUGH WILL REMAIN ACROSS THE EASTERN HALF OF THE
CONUS THROUGH THE PERIOD...WHILE THE PERSISTENT RIDGE IN THE WEST
BEGINS TO WEAKEN AS AN UPPER SYSTEM AMPLIFIES ACROSS WESTERN
CANADA DURING DAY 3.  WITHIN THIS EASTERN TROUGH WILL BE A SERIES
OF EMBEDDED SHORTWAVES THAT WILL INTERACT WITH AN EAST-WEST
ALIGNED AND MOSTLY STATIONARY FRONT STRETCHING FROM THE
SOUTH-CENTRAL PLAINS THROUGH THE TN VALLEY AND MID-ATLANTIC
REGION.  OVERALL...THE MODELS AGREE WITH THE LARGE SCALE
PATTERN...BUT DIFFER WITH THE SPEED AND STRENGTH OF SHORTWAVES
MOVING THROUGH THE TROUGH...WHICH LEADS TO NOTABLE DIFFERENCES IN
THE TIMING OF CONVECTIVE ACTIVITY IN THE VICINITY OF THE FRONT ON
DAYS 2 AND 3. SO HAVE RELATIVELY HIGH CONFIDENCE THAT THERE WILL
BE SEVERAL ROUNDS OF MODERATE TO HEAVY PRECIPITATION BOTH FRIDAY
AND SATURDAY ALONG THE BOUNDARY...BUT LOW CONFIDENCE IN THE
DETAILS AT SHORTER TIME RANGES.

ON DAY 2...THE MAIN FORECAST CHALLENGE IS DETERMINING THE
LATITUDINAL POSITION OF THE HEAVY PRECIPITATION AXIS OVER THE
MID-ATLANTIC REGION.  THE GFS CONTINUES TO LIFT PCPN FARTHER NORTH
THAN THE OTHER GUIDANCE...THOUGH THERE HAS BEEN A SLIGHT TREND
NORTHWARD IN THE ECMWF FROM ITS 00Z RUN.  OVERALL...STILL PREFER
THE KEEP THE AXIS ON THE SOUTHERN END OF THE SOLUTIONS WHERE
INSTABILITY AND DEEP MOISTURE ARE BEST FOCUSED.  FARTHER TO THE
WEST...GENERALLY BETTER AGREEMENT ON MCS DEVELOPMENT OVER OK/AR
WHERE DIFFLUENT UPPER FLOW COINCIDES WITH A RELATIVELY STRONG LLJ
LIFTING GULF MOISTURE INTO THE FRONT.  PWS OF 1.75-2 INCHES AND
CAPES RUNNING UPWARDS OF 1000-2000  WILL SUPPORT AREAL AVERAGE
AMOUNTS OF 1-2 INCHES FROM EAST-CENTRAL OK EASTWARD THROUGH
WESTERN TN...WITH LOCALIZED HEAVIER AMOUNTS.

THE SURFACE WAVE MOVING OFF THE MID-ATLANTIC WILL HELP TO PUSH THE
SURFACE FRONT SLIGHTLY FARTHER SOUTH ON JULY 4 AS IT BECOMES MORE
DIFFUSE.  HOWEVER...THERE WILL STILL BE PLENTY INSTABILITY AND
GULF MOISTURE ALONG THE BOUNDARY...WHICH WILL LEAD TO A
CONTINUATION OF CONVECTIVE ACTIVITY THROUGH THE DAY.  HEAVIEST
ACTIVITY IS EXPECTED FROM SOUTHERN OK EASTWARD THROUGH CENTRAL AR
AND INTO NORTHERN MS/AL WHERE 1-2 INCH AREAL AVERAGES ARE LIKELY.
WHILE FFG VALUES ARE RELATIVELY HIGH IN THIS REGION...RAINFALL
FROM DAY 2 SUGGESTS THAT THERE WILL BE SLIGHT RISK OF EXCESSIVE
RAINFALL WHICH COULD LEAD TO LOCALIZED FLASH FLOODING.

...ROCKIES/SOUTHWEST/GREAT BASIN...

WEAK IMPULSES ROTATING AROUND THE PERIPHERY OF THE WEAKENING
WESTERN RIDGE WILL CONTINUE TO KICK OFF MONSOON SHOWER ACTIVITY
BOTH DAYS 2 AND 3. AS USUAL...NAILING DOWN THE DETAILS IS
DIFFICULT...BUT THE GUIDANCE SUGGESTS THE BETTER MOISTURE AND
INSTABILITY AXIS WILL BE OVER NM AND AZ...PARTICULARLY ON DAY 3 AS
A SURGE OF HIGHER PWS MOVES UP THE GULF OF CA.  CONVECTION WILL BE
MAINLY DURING THE LATE AFTERNOON THROUGH EVENING HOURS AND
GENERALLY TIED TO THE TERRAIN.  A SECONDARY AREA OF HIGHER AMOUNTS
IS POSSIBLE OVER THE SIERRAS AND SHASTA REGION AS A RESULT OF
UPPER DIFFLUENT FLOW EAST OF A BROAD CLOSED LOW IN THE ERN
PACIFIC.

...UPPER MS VALLEY...

AN AMPLIFYING UPPER SYSTEM WILL SLIDE ACROSS MANITOBA AND ONTARIO
PROVINCES AND DRAG A WEAK SURFACE FRONT/TROUGH ACROSS THE UPR MS
VALLEY AND UPPER GREAT LAKES.  MOISTURE IS LIMITED...BUT LOW LEVEL
CONVERGENCE ON THE BOUNDARY AND DAYTIME HEATING WILL LIKELY LEAD
TO SOME SCATTERED SHOWERS...BUT AMOUNTS ARE EXPECTED TO BE
LIGHT...GENERALLY BELOW .25 INCH.

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

MUSHER/HAYES/KLEIN

24HR QP VT 03/00Z
 0.01 556122 552121 549119 544117 539116 534115 532109 538102
      543094 543081 542073 538069 536067 534071 534075 532078
      529084 524089 521091 517090 514087 509086 499072 496069
      492069 490066 487068 486070 481070 477074 477077 478084
      476094 466093 467085 463082 458081 452073 451076 451080
      447081 444078 440080 438084 441087 443089 445087 448087
      450090 453093 455098 454102 450100 439098 431098 424092
      421088 418083 416078 414078 413080 409082 407081 404080
      402081 400086 401112 401116 398118 393124 387128 383130
      384134 386137 390135 392135 394138 397138 400139 399143
      401147 404151 407169 408193 412193 415187 417184 419184
      419190 418197 415202 413208 418215 417222 417225 418227
      421229 420233 409232 406232 404229 407228 409223 410218
      406217 402217 400215 396211 392211 388211 382209 377208
      376205 379204 377201 374200 373198 371194 365192 356194
      354191 352190 352192 353197 353200 351201 347201 345199
      345189 342179 338178 336178 333175 333171 325166 307160
      305155 308152 313153 318155 323158 325163 330166 333166
      336163 338159 342159 344165 345170 346181 348182 350180
      351171 346156 347150 346145 343136 340127 338123 336126
      335129 337132 340135 339141 340146 338150 336148 338145
      334141 328140 324137 323131 321125 319123 316123 311121
      306117 301122 298120 295116 294113 291109 286108 285104
      279088 268077 263070 262065 261059 261056 263052 267051
      271053 275057 278060 284063 290064 294065 296071 298076
      302079 304084 307092 309095 313096 316103 312109 309111
      306111 307115 312118 316118 314114 323113 327113 329116
      331120 334121 334117 332111 330107 327103 324099 319095
      316095 317093 320093 323095 326095 326089 325084 323082
      326078 326076 330075 329064 333063 334060 330061 325060
      319060 321057 324055 325050 330050 334049 335043 338041
      336036 338032 340021 341014 343008 347005 348003 352003
      355000 357995 350986 350974 348962 346963 342970 341971
      341965 341951 341945 343941 346932 346912 345904 342899
      338893 334889
 0.01 334889 333884 330883 329887 328889 327887 327883 324879
      321877 314872 308871 304869 304865 302863 303859 300857
      297858 296855 298853 297849 298844 297837 294834 293826
      290824 288823 285824 282826 276828 272830 269834 262837
      262826 259823 257818 254814 253811 254808 256806 265804
      269803 274804 281802 284790 285785 287783 293776 296773
      300768 302765 304761 309753 314746 320738 328733 339730
      348727 356720 362713 368705 373698 375694 376688 381679
      387661 392646
 0.01 562090 560087 561084 561082 562079 563076 563074 563071
 0.01 565896 559894 553889 550887 548881 543875 540874 536874
      529877 513873 510874 508876 503878 496866 495858 489858
      487859 485863 483872 481877 481881 480885 479893 476901
      471910 470916 467920 467924 468930 470932 474933 477935
      479937 482937 484935 488936 489939 491961 492966 493969
      497977 498982 498988 498000 519054 515055 514053 510057
      506057 503057 498055 495051 493046 495043 500041 502041
      504037 504031 503027 500018 498013 495018 493022 489023
      487015 487009 485005 485002 489002 492000 494996 496989
      497984 496979 494976 491974 486979 478979 472980 468974
      466966 460962 453957 446952 442946 437942 431935 424935
      417936 415934 414929 413920 410915 408908 403896 402884
      401873 403853 404848 404842 403836 401832 398825 396821
      395815 391805 393801 396799 400794 403788 408807 410808
      409798 408780 401781 397782 394784 392778 393773 396763
      399754 400742 402733 404726 410713 415698 417690 418686
      417681 418678 418673 418668 419664 426659 435657 440658
      442662 444666 445670 446708 445712 442712 436710 434708
      435705 437697 436693 433693 429698 423703 419711 414715
      413720 414725 416727 419724 426718 427719 431716 434715
      435718 433720 433723 436723 440724 441728 440731 444732
      446734 438746 435751 437754 437758 441760 444759 446756
      445751 449744 451735 451732 454732 455739 457750 467765
      471771 477776 482779 489780 494780 502778 515772 522769
      528765 537758 540755 545753
 0.01 499618 493624 489629 483635 479637 475636 469635 461638
      453641 446641 437643 429646 423648 419649 417648 411642
      409640
 0.01 548033 548027 546024 541018 535014 531009 526003 523000
      521004 526010 526015 524020 530024 536027 542033 547036
      548033
 0.01 528183 529173 528167 526160 524155 521151 516148 512144
      507143 500142 496146 502155 506160 504166 503175 501181
      503186 506187 513180 518189 523188 526185 528183
 0.01 491134 489132 488129 486128 485126 483124 482124 480125
      478127 478129 479132 481135 482136 484138 485139 487139
      489137 491134
 0.01 485037 484035 482033 481034 482037 484038 485037
 0.01 450068 451066 452063 451061 449058 447056 446058 446060
      446063 445065 447068 448070 450068 450068
 0.01 415940 414939 412938 411940 412942 414942 415940
 0.01 399099 395096 392098 388098 383097 379101 374105 372107
      373110 377106 381106 380110 382113 385113 387111 390107
      393103 399099
 0.01 339908 337904 333902 326896 322892 318889 309886 305888
      305895 302905 303911 305916 309920 314920 317917 318911
      322908 324909 329909 333911 339908
 0.01 311796 310788 308782 306780 303779 300785 297790 293795
      290799 289801 296803 302803 306803 309802 311796
 0.01 298006 298002 297998 297989 301983 300980 298980 295981
      290985 282985 280983 279986 281989 283991 285991 290991
      291999 290001 291005 293008 296008 298006
 0.01 288977 286973 281972 271972 268972 266970 265966 267964
      270962 270959 267951 265949 261949 255947 248945 244944
      240946 235950 232955 231964 231974 232981 231987 230997
      230007 236019 239025 245029 255035 262038 267038 270036
      274032 277026 278019 274012 271007 264005 266002 268998
      268995 265992 261988 253987 253984 255981 263983 267984
      270982 273982 275980 288977
 0.01 268822 267823 265823 267823 268822 268822
 0.01 252788 252781 250778 246776 242776 239775 236777 235780
      235784 237790 240792 244793 247792 251790 252788
 0.01 237802 237797 237794 235792 232792 228788 224788 222794
      219798 220806 221814 223819 225828 224835 223837 223842
      226845 228847 232846 235842 235836 236834 238826 238820
      235813 236806 237802
 0.25 504628 495644 490652 483657 478661 477665 476670 477676
      478684 478691 477697 474700 468707 467715 472726 475735
      475743 477751 480760 484763 488765 494767 500767 505766
      514763 529754 536748 543742
 0.25 567969 568956 566946 564930 562924 560923 555928 550941
      549942 547939 545936 544930 545920 545909 541902 537898
      528902 522902 516905 507911 504917 501924 499931 497939
      499949 502957 506960 512960 525985 530987 536991 539996
      543000 545002 549001 555000 559997 562992 564987 565980
      567969
 0.25 543003 542001 540003 542004 543003
 0.25 529955 529952 528949 527947 525947 523949 522949 522952
      521955 522955 523955 525956 527956 528956 529955
 0.25 480009 476005 470002 464984 455972 452966 448966 445969
      435973 431966 426962 422961 419963 417966 414967 405957
      396948 395936 391928 390909 391887 390879 392871 393865
      392861 390859 388856 388852 390845 388837 387827 387806
      387801 385797 384791 385786 387779 389769 390762 391751
      394737 398726 399719 398715 396714 390718 383720 376723
      374726 374731 373741 373745 377744 381747 380752 377761
      374763 372761 368757 363760 360765 361779 356791 352796
      350798 349802 351807 352810 355812 359814 359818 356824
      353826 350825 347827 345824 343820 341821 337827 324803
      322810 321814 322819 320823 317824 314823 312827 309833
      310836 313838 316839 317845 317851 318855 321860 325864
      328865 332865 334867 335870 339875 344880 347887 349895
      352900 353911 353921 354932 353940 354949 355955 355957
      358958 363952 367949 372947 385951 391952 393954 394959
      397965 398968 402969 405970 407972 409975 406976 399974
      396975 395978 395982 396993 398997 395999 390001 392009
      396012 402014 409024 414029 416036 420042 424042 426041
      428039 429034 429028 428023 427020 424017 418011 416008
      416004 416997 411992 412987 414985 416986 419990 421992
      424992 430991 436994 440997 446000 454001 457003 459006
      458008 455007 451007 445011 443007 439004 433005 429005
      428011 432018 436018 441014 443017 445024 448025 451024
      456018 459018 463012 469011 476012 480009
 0.25 446072 445071 444070 443069 441068 440069 441071 442072
      443073 445073 446072
 0.25 397703 398700 397698 396698 394697 392698 392699 391700
      391702 391704 392705 393706 394706 395706 395705 397704
      397703
 0.25 407922 407919 406917 405916 403917 403919 403920 403922
      404924 405925 406924 407923 407922
 0.25 385196 385194 383193 381192 380192 380194 381196 382197
      384197 385196
 0.25 390052 388051 388052 390053 390052
 0.25 374191 375189 375188 373186 372186 371185 370184 368184
      366183 364184 366187 367188 369189 371189 372190 374191
      374191
 0.25 382777 382775 380774 379775 378776 377778 377780 377783
      377785 378785 379783 380782 381781 382779 382777 382777
 0.25 385049 383048 382047 381046 380045 378045 376045 375046
      374048 374049 373050 374052 374053 375054 376055 377056
      379057 381058 382057 383056 384054 384051 385050 385049
 0.25 376078 377073 376069 376066 374064 371062 370061 366061
      365063 368065 369067 371068 373071 374074 376078 376078
 0.25 360736 360735 358735 357736 358737 360736 360736
 0.25 367052 365051 363050 361051 360051 359052 358053 357053
      356056 357057 359056 360056 361055 363056 365055 366054
      367053 367052
 0.25 357120 356116 355114 351112 349112 347110 344109 344110
      345114 347115 349117 350121 352123 354122 357120
 0.25 357972 357970 357969 355968 354969 354971 354974 355975
      357974 357972 357972
 0.25 353016 352013 351013 349016 347020 347024 347028 347033
      349033 350031 350027 350024 351022 352018 353016
 0.25 342100 342098 342097 342096 341093 340092 340091 339089
      337089 336091 335093 335095 336097 336098 337100 338100
      339101 341101 342100
 0.25 336086 335085 335084 334082 333084 333086 333087 335087
      336086
 0.25 331822 330822 330820 328819 328820 328822 327823 326825
      325826 325827 327828 328827 329825 329824 331822 331822
 0.25 257020 257014 255010 254005 252002 247000 242002 239003
      238009 239014 241018 245021 248023 254023 257020
 0.25 256964 255961 254959 252957 249956 246955 243956 241957
      240959 239963 241967 243969 244970 247970 250969 253968
      255966 256964
 0.50 525681 523680 522680 521680 520678 519678 518676 517675
      517674 516672 515671 515669 513667 512665 512662 512660
      512658 512657 513655 514654 513651 513649 507638
      500643 498651 496661 493666 488683 486692 485702 485711
      485714 484718 482721 482725 481733 481738 482745 484753
      489758 495761 503762 509761 516758 521754 533745 541737
 0.50 541931 541925 542920 542914 540910 539907 537906 534907
      533910 532912 531918 532923 533926 534931 535933 538935
      540933 541931
 0.50 462986 461984 459982 457981 453979 450979 448978 446978
      444981 445983 446988 447990 450992 453993 455993 458993
      460991 461989 462986
 0.50 425034 426029 425025 421020 418017 413013 410007 408006
      406007 408013 413016 415022 416029 419035 422036 425034
 0.50 426980 426979 426978 424976 422976 421975 419975 417977
      417980 419982 421984 421985 422986 424986 425985 426982
      426981 426980
 0.50 401959 401956 400955 399954 398953 396953 395954 396956
      396958 398959 400960 401959
 0.50 386754 386751 385751 383751 383752 382754 381754 381757
      382758 384757 384756 385754 386754
 0.50 384807 380798 379792 375791 366798 366804 364808 362813
      362818 360826 358829 355832 348835 343836 341833 337834
      335838 335848 335854 334858 335862 339865 341864 344861
      346862 346867 348877 352885 356892 357901 357939 356944
      357951 364945 369940 373945 376946 380945 385944 389941
      388929 388918 388911 387906 385893 386880 385870 384866
      381861 380857 379850 380832 383818 384807
 0.50 374781 374778 374776 373775 372776 372779 372781 372783
      374782 374781
 0.50 368770 368768 367766 367765 365765 363767 363769 364771
      364772 365773 366774 367773 368772 368770
 0.50 367784 368782 367780 367777 366777 364777 364778 363780
      362783 362785 362787 362788 363789 364790 365789 366788
      366786 367784 367784
 0.50 367929 367927 366926 364925 363927 363929 364930 366931
      367929
 0.50 340095 339093 338092 337093 337095 338097 340095
 0.50 325816 325814 325812 324811 324812 324814 324816 325817
      325816
 1.00 533713 523712 519711 515711 507716 499724 496729 493732
      489736 487742 493751 502754 508753 511751 515747 520745
      530741 537733 538728
 1.00 384915 380902 376899 372900 370898 372891 373883 374869
      372861 371852 370835 372828 373820 372812 369813 368815
      361841 362846 365853 363859 363867 363877 362884 359888
      362892 363897 367902 365904 361904 359910 361922 364922
      370924 372930 375937 379939 382934 382929 381922 384915
 1.00 371907 371905 371904 369904 369905 369907 371907 371907
 1.00 358883 358881 357879 356878 354877 354876 354877 353879
      354881 356882 357883 358884 358883
 1.00 345847 344845 343842 341841 339842 338843 338844 337845
      337847 338849 338851 338852 338854 338856 339856 340855
      341854 340851 341849 341848 343848 345847
 1.50 531731 530726 525726 520726 517727 512727 507728 504730
      505735 510736 514735 518735 521737 526738 530734 531731
 1.50 380911 378907 375907 373910 367911 366914 367918 371920
      373924 375929 376934 380934 379927 378922 379918 380913
      380911
 1.50 372871 371865 369862 367865 366871 366876 367880 367886
      363887 364892 368891 369887 370882 371876 372871

24HR QP VT 04/00Z
 0.01 509880 509868 508856 507851 506844 503836 501834 498834
      492833 487831 485829 482828 479826 467833 463839 459847
      457856 456864 455869 455876 455889 458935 461952 462957
      464956 466957 466960 465964 465975 465980 466984 468989
      472991 474992 476989 479982 481974 494972 499967 501959
      501934 500929 501925 504916 504903 506893 509880
 0.01 453993 453986 450978 440971 430961 423961 418958 414954
      406950 403947 399945 393940 388936 384929 381909 380890
      380879 381870 385854 388840 391824 398811 401804 403799
      402793 399783 396780 392779 390776 390767 390748 389737
      393730 398720 400717 400713 401709 401704 397703 393706
      388711 382715 379716 378713 375712 370713 362715 353724
      343734 324751 322760 323766 325769 328771 329776 327785
      327794 327800 325803 322808 321812 321817 322825 323828
      324832 326840 328843 328848 330881 329899 330911 331914
      331920 332931 331943 329953 330965 332972 333981 338995
      342011 343025 340031 338039 340042 338045 333049 323049
      320048 317049 314050 312056 312060 313065 321075 321080
      322083 325089 324093 322095 316099 313102 312112 310120
      312122 316124 319125 324126 328125 333125 347133 354137
      363139 370140 372135 370129 366123 361119 356116 352111
      350105 350098 351096 354097 359103 355090 359086 365083
      372080 374083 379084 385086 389089 386083 386080 389082
      394085 397085 397081 401075 405072 407075 410075 414068
      416062 414059 410057 411049 410044 407042 393034 385023
      380018 378015 378010 378001 380993 379986 379981 381977
      399977 409978 412982 415984 417987 420987 427991 433995
      443996 448998 452996 453993
 0.01 426213 425209 422206 416209 412214 411222 409225 405225
      402226 400230 399235 401239 410241 416238 421233 422228
      422222 421218 424215 426213
 0.01 407210 406207 401204 396201 391198 383191 381188 377184
      367179 361178 359178 358183 360187 365191 369193 373197
      381203 390209 402213 405212 407210
 0.01 390171 388168 389162 388159 390155 387154 384156 382158
      377157 375155 370153 368151 365152 363153 360156 364162
      370165 375168 380165 381168 384170 390171
 0.01 304097 304092 304089 299081 297078 298075 302074 306070
      307067 306063 295061 286061 283063 279060 276058 273059
      264061 260060 257058 253056 249056 246059 246062 246067
      250067 253067 254069 257073 261076 267076 272081 280094
      289098 298100 302099 304097
 0.25 491896 490889 488886 483884 485879 486872 486867 482859
      475853 473854 472851 470855 472859 474862 478872 481884
      481894 485902 487904 489902 491896
 0.25 386198 384197 383195 379193 378191 375189 373187 371186
      368185 369188 373190 374192 376194 379196 380198 384199
      386198
 0.25 390799 391795 390791 387787 381777 381773 381767 380757
      378749 375744 373737 370734 366733 363733 358735 353738
      348742 345748 342755 342764 339774 336788 336794 337798
      340803 347809 346815 344821 339833 335845 334859 336873
      337891 337906 336937 335952 335962 336969 340980 342985
      346989 356996 362996 367994 370991 371987 370983 369969
      369950 369932 370902 370887 371876 372869 374857 377844
      384817 390799
 0.25 393052 392045 389040 378035 368028 363027 357028 354032
      351037 348053 349058 350061 353064 358065 362063 369062
      375064 379063 383058 393052
 0.25 348116 348112 347107 345101 344095 345090 345085 343082
      341079 338077 334077 332079 330084 331090 332098 335105
      338111 343116 348116
 0.50 389050 385045 380043 374041 369038 366037 363038 360043
      357049 354055 357057 361056 365054 370052 377052 385052
      389050
 0.50 381805 375781 374774 375766 376758 374749 368742 364740
      358742 353747 352754 348765 341785 340790 344794 350796
      354795 357796 361799 362803 357812 350823 344834 341845
      341857 341875 341891 340905 340918 338935 337951 338962
      341973 349982 353986 359989 364987 366983 365970 364961
      364953 365938 365874 370850 373837 376823 378812 381805
 0.50 342104 343102 343100 342098 342096 342095 341093 340091
      339089 337088 337089 336091 336093 336095 336096 337097
      338099 338100 339102 339103 341104 341105 342104
 1.00 366833 366825 365821 361821 357826 355830 355839 354846
      353854 355859 360854 362849 364843 365836 366833
 1.00 361978 361967 360956 359947 358934 358923 359912 359901
      358888 356879 354876 350878 347897 345919 342939 341949
      343960 347967 353974 361978
 1.50 356960 357956 355954 354945 354936 354927 353921 352918
      350921 348926 346934 345941 344947 345954 348960 354962
      356960
 2.00 350945 351943 351941 350938 348941 348943 348945 349945
      350945 350945


24HR QP VT 05/00Z
 0.01 552034 553015 553006 553000 551993 548987 544984 537984
      530988 522992 517996 514999 506008 503011 500015 495024
      492028 490035 489044 489055 489063 491066 498061 502058
      505064 502070 500077 501090 503104 505111 503117 499120
      497122 493122 489123 484122 478121 475123 475126 476129
      479133 487143 488149 492152 499157 505160 506161 507166
      506172 508180 522179 526183 530184 531183 532178 531174
      529167 526163 524158 528146 529138 530128 528111 529101
      530095 533082 538070 544057 548047 552034
 0.01 480822 479802 477797 475794 473789 473783 472778 470776
      464777 460783 457791 454798 453805 449824 447840 446844
      446851 446863 446868 446874 444880 441887 439892 439897
      436904 435913 434923 434935 435946 438950 442950 445947
      449942 452936 455928 458926 460928 463930 465931 467930
      469929 470923 471915 472906 472900 473892 474873 474862
      477852 480840 479828 480822
 0.01 450078 449077 448075 447072 446072 445070 443069 443070
      443072 444075 446075 448077 448078 449078 450078
 0.01 435756 426739 423740 422744 418752 415761 413765 408768
      394774 390771 387767 386752 386736 387722 388711 388700
      384697 383690 373689 362690 359696 350711 332738 322755
      312768 300787 289803 289806 293809 295809 299806 305800
      311799 316800 308815 306818 305823 304833 305836 308839
      314839 318837 327831 329837 328842 325853 323856 319859
      314862 310866 306869 303873 297879 294882 293888 291895
      291900 292906 295914 296923 297935 295940 290941 273949
      269951 263950 259949 256952 248957 241962 238966 236971
      238977 242982 257980 262979 267978 270977 276977 282979
      284982 286983 300975 305973 306973 308969 314962 319954
      321950 323948 326948 330952 332956 333969 334982 337994
      339004 339011 338016 339025 344028 334042 331044 326044
      321043 317041 312039 310036 308032 305027 303031 302036
      299039 296044 298048 301051 301055 301059 296058 292056
      284049 280047 276046 268049 261053 257053 257057 262058
      263061 262067 260070 259074 255075 259084 263086 266090
      272095 279100 286106 301116 308117 311120 314121 319123
      323121 327118 328113 328107 331106 333108 341123 344129
      350135 352135 353131 356131 361129 363125 368124 367122
      363118 360114 361111 364111 366108 363103 362100 363097
      366092 364086 361082 360076 363071 366074 368079 374086
      378088 380091 384094 388093 390088 388084 385081 386078
      388078 391080 394079 395075 400076 402076 404071 405065
      407061 409058 411052 412045 410040 407037 402037 398038
      394036 388027 377006 373996 371986 372963 375944 379921
      386875 385859 385849 386841 386833 387828 391817 393813
      395810 399808 403809
 0.01 403809 407808 412806 415803 420801 423799 427796 428793
      430788 431783 432778 433773 434766 435761 435756
 0.01 441038 442036 441036 440033 438033 436033 436035 436038
      438038 440038 441038 441038
 0.01 417234 417232 416227 415224 416220 413219 412221 411223
      408227 406228 404230 404232 405234 409235 411234 414235
      417234
 0.01 436009 436002 434997 433993 433989 434985 435976 428968
      425968 423966 423971 424975 427987 427001 423011 423015
      428016 434011 436009
 0.01 413210 412204 409204 406205 403204 400202 395198 391195
      387191 377183 374179 371177 367177 366178 369185 377194
      380198 384202 393211 403217 408218 411216 409213 413210
 0.01 404158 402155 398155 395156 392160 390161 388160 386156
      383154 379153 373159 372165 376166 382170 383172 387176
      389178 392177 395175 397177 398175 400172 402165 402159
      404158
 0.01 409110 409103 410098 408093 408098 407101 406105 403104
      399104 395101 395103 398106 402109 405112 409110 409110
 0.01 386125 384124 383122 379121 377123 375123 375127 374132
      374134 376134 378130 378128 382126 384124 386125
 0.01 364161 365157 363155 361154 360156 357156 355155 354153
      352153 353155 353159 354162 353166 354169 356169 358167
      360163 362162 364161
 0.01 335064 330062 327060 325058 322058 320061 319065 320069
      320074 318077 319082 321084 323080 323076 325074 327074
      327071 324070 324068 328065 335064
 0.01 298815 293812 287810 276805 273803 274801 274796 272793
      271791 267791 264792 262795 260797 261801 264802 261804
      256807 257813 256820 253826 256831 262835 266837 270839
      273839 279838 284832 287827 293824 296819 298815
 0.25 540022 540019 540016 538015 538016 537018 536019 536021
      536024 537024 538025 538024 540022 540022
 0.25 534045 535041 534038 531039 525045 521053 517065 516071
      515078 515087 514095 511123 508134 506146 506148 508152
      514160 516159 518155 519146 518140 518133 519126 520109
      521095 523081 526069 530058 534045
 0.25 425777 425771 422770 416774 411778 405783 399788 396789
      394786 389785 384784 381781 378778 377772 378766 378756
      378738 378727 380718 382712 380704 376701 373701 370703
      369707 363712 354722 348729 345735 341745 338753 333770
      332777 331786 351811 345824 339838 336847 334857 332867
      331878 330888 328897 327916 336956 338977 339985 342994
      345000 351007 358011 361010 363007 364003 364992 363982
      362972 362962 365942 364918 365895 365886 366876 369855
      370844 373834 376827 380820 389808 393803 397800 401798
      411794 417789 422783 425777
 0.25 376073 376071 375069 374069 373066 371065 370064 370063
      368063 369064 371066 371067 372068 372071 373071 373073
      374074 376074 376073
 0.25 361089 360089 359088 357089 355090 355091 356093 358092
      360091 360090 361089
 0.25 361056 361054 359053 358053 357053 356055 355055 356056
      357057 359057 361056
 0.25 355075 354073 353072 352073 351074 350075 350077 351077
      352078 354077 355075
 0.25 348114 344105 343096 341092 343086 346084 349080 347078
      343076 336080 333081 331086 331090 333095 338102 341105
      342109 344114 346116 348114
 0.25 338058 339056 338055 336055 334054 332054 330054 329055
      327057 328059 330059 332059 334059 336059 337059 338058
 0.25 317097 317090 314084 304078 302074 301070 299067 297062
      290061 287057 279057 276060 274067 275073 276077 277080
      282089 293095 301101 308103 314101 317097
 0.25 306937 306933 306928 306924 305920 304918 303914 301918
      302922 302926 302931 302935 301939 301941 303942 305939
      306937
 0.25 259968 261966 260964 259963 257964 255964 254966 253966
      252968 252970 253972 254973 255972 256972 257970 257969
      259968 259968
 0.50 384806 385803 383800 379799 372799 370802 373806 374809
      370813 367811 364812 361815 356821 350828 345838 341845
      339855 336866 334878 335891 333900 331906 331911 333924
      340969 342980 345988 351996 354999 358000 359996 358991
      357979 357965 359949 360938 359928 357899 357885 358875
      360862 361850 361843 362838 365831 370823 378816 382811
      384806
 0.50 374758 373750 371743 368737 366735 363735 355741 349751
      343763 339774 337779 340784 345786 351784 361776 368768
      374758
 0.50 340096 340095 339093 338093 337092 336091 335088 335086
      334085 333086 333088 333089 334090 334093 335093 336094
      337095 338096 340097 340096
 0.50 314094 314088 312085 308085 305083 298078 297074 297068
      290063 286064 282068 281071 283076 290081 294088 300094
      307099 310098 314094
 1.00 354949 355937 353923 351899 352875 352862 352855 351848
      349845 347848 344860 342868 340873 341878 342888 340902
      340911 339926 339935 341947 344955 348965 351959 353954
      354949
 1.50 350945 351938 351932 351925 350919 349914 346912 344917
      343921 342925 342932 342939 343943 345948 348951 350947
      350945

$$




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