Quantitative Precipitation Forecast
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000 FXUS04 KWBC 300925 QPFPFD QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS WEATHER PREDICTION CENTER COLLEGE PARK MD 524 AM EDT THU JUL 30 2015 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID JUL 30/1200 UTC THRU AUG 02/1200 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1 ...NM/SOUTHERN PLAINS... THE COMBINATION OF MOISTURE AND INSTABILITY FOCUSED ON A FRONTAL BOUNDARY ACROSS THE SOUTHERN PLAINS...AND THE HIGHER TERRAIN OF NM...WILL FUEL CONVECTION WITH HEAVY TO EXCESSIVE RAINFALL DURING DAY 1. FOR THE MOST PART...THE WPC QPF WAS BASED ON A BLEND OF THE 00Z GFS/ECMWF...WITH THE 12Z SSEO MEAN AND 00Z WRF ARW USED TO BETTER DELINEATE THE HIGHEST QPF MAXIMA. MUCH OF THE EARLY MORNING ACTIVITY HAS BEEN FOCUSED ON NORTHEAST NM...AS THE ACTIVITY REFORMS ON THE EDGE OF A INSTABILITY AXIS AND 1.40 INCH PRECIPITABLE WATER STRIPE. THE MOISTURE AND INSTABILITY BECOME FOCUSED ON A FRONT EXTENDING ACROSS NORTHEAST NM INTO NORTH TX...NORTHERN OK AND SOUTHERN KS. PRECIPITABLE WATER VALUES NEAR 2.00 INCHES...COUPLED WITH MODERATE TO STRONG INSTABILITY...WILL FEED DEVELOPING CONVECTION ALONG THIS LINE BEFORE 30/18Z. THERE IS SOME MODEL SPREAD ON JUST HOW LONG THE ACTIVITY LASTS...WITH THE 00Z NAM BASED GUIDANCE SUGGESTING A DROP OFF IN INSTABILITY FOR A TIME DURING THE LATE AFTERNOON AND EARLY EVENING. HOWEVER...A DEVELOPING LOW LEVEL SOUTHERLY JET FEEDS MOISTURE BACK INTO THE SOUTHERN PLAINS AFTER 31/0Z...USING THE FRONT AS A FOCUS. AN AXIS OF 0.75 TO 1.25 INCHES OF QPF WAS PLACED ALONG THIS FRONT...ACCOUNTING FOR BOTH CONVECTIVE ROUNDS. ACROSS THE SOUTHERN PLAINS (OK INTO SOUTHERN KS)...ONE AND THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE GENERALLY HIGHER THAN 2.00 INCHES. WHILE HEAVY RAIN IS EXPECTED IN THESE AREAS...ORGANIZED FLASH FLOODING IS NOT EXPECTED AT THIS TIME. OVER NM...THE CONVECTION INITIALLY BECOMES ANCHORED TO THE TERRAIN...MAINLY ACROSS NORTHERN AND WESTERN PORTIONS OF THE STATE. AS WAS THE CASE ON WED...THE CONVECTION FEEDS ON MODERATE INSTABILITY AND PRECIPITABLE WATER VALUES NEAR 1.25 INCHES AND MOVES OFF THE TERRAIN IN THE LATE AFTERNOON AND EARLY EVENING. LOCAL 0.75 TO 1.25 INCH QPF AMOUNTS ARE EXPECTED ACROSS THE HIGHER TERRAIN (WITH AMOUNTS AS HIGH AS 2.50 INCHES SUGGESTED BY THE 00Z NAM/GFS)...WHERE ONE AND THREE HOUR FLASH FLOOD GUIDANCE VALUES AREA AS LOW AS AN INCH OR LESS. DUE TO PREVIOUS HEAVY RAINFALL...SLOW CELL MOTIONS...AND THE POTENTIAL FOR HIGH RAINFALL RATES...A SLIGHT RISK AREA WILL BE PLACED OVER PORTIONS OF NORTHERN AND WESTERN NM...MAINLY IN THE HIGHER TERRAIN. ...AZ/SOUTHERN CA... THE MONSOONAL FLOW CONTINUES TO PUMP HIGH MOISTURE CONTENT AIR INTO MAINLY CENTRAL AND WESTERN AZ AND NEARBY SOUTHERN CA. THE MONSOONAL MOISTURE... COMBINED WITH MODERATE INSTABILITY...FUELS CONVECTION THAT PRODUCES HEAVY TO EXCESSIVE RAINFALL... ESPECIALLY OVER SOUTHWEST AZ AND NEARBY SOUTHERN CA. THERE WAS DECENT MODEL AGREEMENT WITH THE OVERALL SYNOPTIC PATTERN...AND THE WPC QPF WAS BASED MAINLY ON A MULTI MODEL BLEND. THE 00Z WRF ARW AND 12Z SSEO MEAN WERE USED TO BETTER DELINEATE THE HIGHER TERRAIN QPF...MAINLY ACROSS SOUTHEAST AZ. CONVECTION SHOULD REFORM EARLY THIS AFTERNOON ACROSS AZ/SOUTHERN CA...AS MONSOONAL MOISTURE (WHICH IS DEPICTED WELL BY THE HIGH AND MID LEVEL LAYERED PRECIPITABLE WATER IMAGES) POURS NORTHWARD ACROSS AZ INTO SOUTHEAST CA. PRECIPITABLE WATER VALUES TOP OUT NEAR 1.75 INCHES ACROSS SOUTHWEST AZ DURING THE AFTERNOON AND EVENING HOURS...AND THE MOISTURE (AS WELL AS MODERATE INSTABILITY) BECOME FOCUSED ON A SURFACE TROUGH EXTENDING FROM WESTERN AZ INTO SOUTHEAST CA. THERE IS A MODEL SIGNAL THAT A SHORT WAVE IN THE MID LEVEL FLOW COULD HELP FOCUS CONVECTION ACROSS CENTRAL AND WESTERN AZ...BUT THE BUILDING MID LEVEL RIDGE COULD MITIGATE THE LOCAL SYNOPTIC LIFT IT PROVIDES. IN ANY EVENT...LOCAL 0.50 TO 1.00 INCH QPF AMOUNTS ARE EXPECTED ACROSS THE HIGHER TERRAIN IN MUCH OF AZ. ONE AND THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE AS LOW AS AN INCH IN THESE AREAS. GIVEN THE POTENTIAL FOR HIGH RAINFALL RATES...A SLIGHT RISK AREA WAS INTRODUCED FOR PORTIONS OF CENTRAL AND EASTERN AZ...MAINLY NEAR THE TERRAIN. FURTHER WEST...THE MAIN FOCUS FOR CONVECTION SHOULD BE THE TERRAIN ACROSS SOUTHERN CA. MOISTURE (IN THE FORM OF PRECIPITABLE WATER VALUES BETWEEN 1.25 AND 1.50 INCHES) AND MARGINAL INSTABILITY SHOULD BE SUFFICIENT FOR SCATTERED TO LOCALLY BROKEN CONVECTION...INITIALLY TIED TO THE TERRAIN. AS WAS THE CASE IN AZ...ONE AND THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE AS LOW AS AN INCH...SO LOCAL FLASH FLOODING ISSUES ARE POSSIBLE. WITH THIS IN MIND...A SEE TEXT AREA WAS PLACED OVER AZ INTO SOUTHERN CA. ...MID ATLANTIC/NORTHEAST... MOISTURE AND INSTABILITY SURGING NORTHWARD AHEAD OF A FRONT CROSSING THE MID ATLANTIC AND NORTHEAST WILL FUEL CONVECTION THAT PRODUCES LOCALLY HEAVY RAINFALL DURING DAY 1. THE 00Z NAM AND ITS RELATED GUIDANCE APPEARS TO BE TOO FAST WITH THE FRONT (PUSHED BY A DEEPER AND FASTER MID LEVEL SHORT WAVE)...SO THIS WAS NOT USED FOR THE WPC QPF. THE WPC QPF WAS BASED ON A BLEND OF THE 00Z GFS/12Z ECMWF...WHICH WERE CLOSER WITH THE FRONTAL TIMING AND POSITION OF THE MOISTURE AND INSTABILITY AHEAD OF THE FRONT. A SHORT WAVE TRACKING FROM CENTRAL CANADA EARLY THROUGH THE GREAT LAKES PUSHES A COLD FRONT ACROSS THE MID ATLANTIC AND NORTHEAST...MAINLY BETWEEN 30/18Z AND 31/06Z. AHEAD OF THE FRONT...A LOW LEVEL 20 TO 30 KNOT FLOW TRANSPORTS PRECIPITABLE WATER VALUES NEAR 2.00 INCHES (WHICH IS ABOUT TWO STANDARD DEVIATIONS ABOVE THE MEAN) AND MODERATE TO LOCALLY STRONG INSTABILITY INTO THE NORTHERN MID ATLANTIC AND NORTHEAST. THE RESULTING CONVECTION BECOMES ORGANIZED IN A LINE AHEAD OF THE FRONT. THIS SHOULD PRODUCE AN AXIS OF 0.50 TO 1.00 INCHES OF QPF STRETCHING FROM NORTHERN MD ACROSS NJ/NY STATE INTO CENTRAL NEW ENGLAND. THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE FAIRLY HIGH...SO WHILE LOCAL FLOODING ISSUES ARE POSSIBLE IN URBAN AREA...ORGANIZED FLASH FLOODING IS NOT EXPECTED. ...GULF COAST/FL... A SLOWING FRONT BECOMES THE FOCUS FOR HIGH MOISTURE CONTENT AIR AND MODERATE TO STRONG INSTABILITY ACROSS THE GULF COAST STATES INTO FL DURING DAY 1. THERE WAS GENERALLY GOOD MODEL AGREEMENT CONCERNING THE TIMING OF THE FRONT AND POSITIONING OF THE BEST MOISTURE AXIS. ACCORDINGLY...THE WPC QPF WAS BASED ON A MULTI MODEL BLEND...LEANING MORE HEAVILY TOWARD A 00Z GFS/12Z ECMWF COMBINATION. A SLOWING FRONT TRUNDLES ACROSS THE SOUTHEAST STATES EARLY DURING DAY 1...BEFORE IT CREEPING AS IT APPROACHES THE GULF COAST STATES DURING THE SECOND HALF OF THE PERIOD. THE LOW LEVEL CONVERGENCE FOCUSES THE DEEP MOISTURE (WITH PRECIPITABLE WATER VALUES AS HIGH AS 2.25 INCHES) ON THE FRONT IN THE AFTERNOON AND EVENING HOURS. MODEL SOUNDINGS SHOWED MODERATE TO STRONG INSTABILITY N PLACE...WITH CONVECTION STRETCHING FROM SOUTHEAST LA INTO NORTHERN FL. THE HIGH MOISTURE CONTENT AIR SUPPORTS A LONG AXIS OF 0.75 TO .125 INCHES OF QPF ALONG THIS LINE...WITH LOCALLY HIGHER AMOUNTS POSSIBLE (THE 00Z WRF ARW SHOWED AMOUNTS AS HIGH AS 2.50 INCHES ACROSS SOUTHEAST LA). ONE AND THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE GENERALLY ABOVE 2.50 INCHES...SO WHILE LOCAL FLOODING ISSUES ARE POSSIBLE...ORGANIZED FLASH FLOODING IS NOT EXPECTED. DAYS 2/3... ...SOUTHWEST/SOUTHERN ROCKIES/SOUTHERN PLAINS... A CLIMATOLOGICAL FAVORED PATTERN... AS A DEEP PLUME OF MONSOONAL MOISTURE SURGES INTO THE SOUTHWEST/FOUR CORNERS REGION FOR CONSIDERABLE SHOWERS/STORMS COVERAGE ON FRI AND SAT. A PERFECTLY PLACED UPPER RIDGE CENTER OVER OK/TX WILL GRADUALLY SLIDE WEST TOWARD THE SOUTHERN ROCKIES OVER THE TWO DAYS... AS A CONSTANT FLUX OF MONSOONAL MOISTURE AND POSSIBLE DISCRETE SMALL SCALE VORTS ROUND THE WESTERN EDGE OF THE UPPER RIDGE. THE .25DEG GFS AND ECMWF BOTH CARRY SOME OF THESE IMPULSES UP INTO THE FOUR CORNERS BEFORE ADVANCING OUT INTO THE SOUTHERN PLAINS. THIS IS THE MAIN SEMI-CIRCLE OF SHOWERS/STORMS EXPECTED OVER THE TWO DAYS WITH THE HEAVIEST QPF AMOUNTS ANTICIPATED FROM EASTERN AZ AND WESTERN/NORTHERN NM INTO THE OK/TX PANHANDLES. MEANWHILE FARTHER WEST INTO THE SOUTHWEST... ENOUGH MOISTURE CONTENT WILL ADVECT INTO THE AREA FOR MORE ISOLATED TO SCATTERED SHOWERS/STORMS WITH LOCALLY HEAVY RAIN ACROSS SOUTHERN CA/NV AND UP THE SIERRA. OVERALL WPC FOLLOWED A BLEND OF THE .25DEG GFS AND ECMWF FOR AMOUNTS ALONG WITH PRISM DATA FOR ADDED DETAIL. ...SOUTHEAST/GULF COAST... A RATHER PERSISTENT WEAKNESS WILL EXIST FROM JUST OFFSHORE OF THE SOUTHEAST TO THE NORTH CENTRAL GULF OF MEXICO ON FRI AND SAT. SOUTH AND EAST OF THIS AXIS AND POSSIBLE SURFACE TROUGH WILL BE A DEEP PLUME OF TROPICAL MOISTURE OF AOA 2 INCH PWS OR GREATER WILL EXIST. ADD IN TYPICAL DIURNAL HEATING AND LEFTOVER OUTFLOW/MESO BOUNDARIES AND THE POTENTIAL EXISTS FOR HEAVY RAINFALL. THE MAIN CORRIDOR FOR HEAVY RAIN WILL BE ACROSS THE NORTH CENTRAL FL PENINSULA WITH A POSSIBLE SECONDARY AXIS FROM SERN NC TO SOUTHERN GA/SERN AL. WPC FOLLOWED A BLEND OF THE .25DEG GFS AND ECMWF FOR QPF AMOUNTS EACH DAY. ...MIDWEST... AN UPPER VORTEX ANCHORED OVER HUDSON BAY WITH A LONG WAVE UPPER TROUGH EXTENDING SOUTH INTO THE EASTERN PORTION OF THE COUNTRY WILL SET THE STAGE FOR A FAVORABLE PATTERN OVER THE MIDWEST. PROGRESSIVE NWRLY FLOW ALOFT WILL ALLOW SMALL SCALE IMPULSES UPSTREAM TO GLIDE INTO THE REGION. THIS IS WHERE... ESPECIALLY ON SAT INTO SUN... WHERE ENOUGH MOISTURE POOLING SHOULD RESULT IN SCATTERED CLUSTERS OF SHOWERS/STORMS. WPC MAINLY FOLLOWED A BLEND OF THE .25DEG GFS AND ECMWF FOR THIS ACTIVITY AND AMOUNTS... ESPECIALLY SAT INTO SUN FROM SD/NE EAST INTO IA/WI. GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV HAYES/MUSHER 24HR QP VT 31/12Z 0.01 470620 474621 477620 479621 482620 484620 488621 490621 492622 494624 496626 498628 500630 501632 502629 501624 501621 518663 519677 517685 515691 512695 505702 502705 498704 494703 491703 485711 482714 479719 476736 466750 461756 455762 447768 438771 431774 421777 416778 412781 403785 399788 396791 389798 377812 372817 367825 359837 353853 349875 346883 340887 337883 333886 331891 331899 352932 357936 364938 368938 372940 377946 380948 382952 386960 389970 390976 390984 389995 387000 385003 382006 380012 379024 379036 382039 389040 394040 399039 401042 401050 398056 393062 385064 382066 382071 378082 376086 374090 371101 369105 371109 373111 372115 368122 363132 361133 360136 361142 360148 360151 361154 368160 370164 374168 377171 375176 375182 378186 382192 386198 388201 385201 382202 378200 370194 363191 358188 358192 358202 358205 359207 362210 367218 366220 362219 359216 352210 345203 344193 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322729 332724 342718 351710 358702 367696 376690 381686 387684 392681 397679 402676 405672 420654 426646 430641 435637 447628 0.01 558051 558039 557027 555017 553006 548992 545984 542978 537960 535950 532941 530933 526928 519915 515910 512903 508895 505885 501867 499859 497856 495855 492855 490858 489861 488868 483863 478857 474851 470846 462836 458832 455833 455839 458850 456854 457860 457869 461876 463882 468888 475902 478909 472909 467905 465903 462903 460908 463915 466921 465925 467929 471935 476940 480946 484950 486944 488943 489944 491947 493955 490959 487957 480957 479962 479967 480975 483982 486987 490988 492985 497970 499968 501969 503972 507979 521003 524009 528018 536032 542044 546051 549055 556056 558051 0.01 364764 353757 347753 340755 338759 338764 335771 332778 329784 324790 319794 316803 316805 315808 317810 324806 331802 343796 350791 352790 354789 353786 354779 357774 362769 364764 0.25 533994 533986 532979 530968 522944 518934 513925 503908 498898 492892 488891 486896 489907 491921 494932 499944 502952 507963 512972 521989 528997 532998 533994 0.25 510658 507650 505646 501644 493644 489645 484648 478652 470652 465649 459644 452649 446656 440663 438667 438672 447670 455666 462666 463671 465676 466680 464683 461687 457690 451695 445703 440707 433711 427715 424718 421718 422714 425711 429703 432700 437698 439694 441689 441681 438679 434681 430686 427695 423701 417708 411716 407724 405730 401737 397744 394750 392754 389758 386759 384756 383750 380747 382742 384738 392726 396720 399717 400711 395711 393713 387721 378736 376743 378747 378751 371765 370769 371773 382772 386773 388776 397777 403776 410772 417769 426767 432763 439757 445749 449743 456729 460721 465716 486689 490682 494677 500675 504673 507671 510663 510658 0.25 413703 414701 414699 412697 410698 409700 407702 406703 406704 404706 403708 402711 403712 404713 405713 406712 407712 409711 410709 412707 412706 413704 413703 0.25 369187 369185 368184 366183 365182 363184 362184 364186 365187 366187 367188 369187 0.25 380988 380983 378975 375970 373965 372960 370957 367958 364959 361956 355955 353957 353961 354967 355976 353989 351000 347011 348017 347026 348031 347036 350039 353039 355043 354049 350053 348060 348064 352068 349079 329081 326083 328087 329092 329097 325099 321104 321108 324111 327110 329107 332104 337106 338111 342113 350120 352122 354122 356117 353114 351113 351109 353105 350104 348100 346098 348095 353097 356099 358097 365091 363086 359083 359077 362074 372070 375070 375066 372063 368061 365056 363045 367042 369041 371038 373033 373025 374015 375007 376998 379992 380988 0.25 345169 344169 344167 343165 342164 342163 341162 340160 339161 339163 338165 336165 334166 333167 334168 335169 337170 339171 340172 342172 344171 344170 345169 0.25 353830 353828 353827 352828 351829 349830 349831 348832 347833 347836 347838 347840 348841 350840 351840 352837 352835 353833 353831 353830 0.25 330746 329741 327739 324738 316740 296748 286753 279761 277765 275770 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408748 414743 421737 429732 434725 440718 443713 0.50 431752 431747 427749 425751 423753 421755 419757 416759 415761 413763 413766 417765 420764 422763 425762 429760 430758 431754 431752 0.50 375990 374981 371976 368972 366975 364974 362970 360969 357976 357987 358996 356009 356012 359016 360018 360023 357029 356033 357038 358040 361042 366037 368030 369021 369016 370010 371003 375990 0.50 362069 363065 361063 360060 361057 361055 359053 357053 354055 353057 353062 354064 355067 356070 360071 362069 0.50 354084 354082 352082 351084 352085 353085 354084 0.50 355075 354074 353074 352075 352077 354077 355075 0.50 350088 350085 348084 344086 339087 336083 332080 332084 334088 338091 336095 336099 341101 344101 344098 343094 344089 350088 350088 0.50 345114 347112 347110 346107 346106 344105 344107 343109 343111 344112 345114 345114 0.50 328105 329103 329101 329100 327099 326100 326102 325103 324104 323106 322106 323106 324109 326109 328107 328106 328105 0.50 325762 325757 324752 323748 321746 314746 308748 302751 294754 291755 288757 284762 281767 279774 278781 280788 284793 290797 295795 298790 302785 307780 315772 321767 325763 325762 0.50 310873 310863 309855 307837 308830 308824 306821 302817 297814 286806 275803 270802 271804 274807 276809 276813 280817 281819 279821 276828 277833 277842 278858 278873 277881 275888 273896 273902 274910 277917 280923 285925 289921 290918 293915 298912 302908 304906 305902 302895 303889 306884 309878 310873 0.50 301086 301084 297082 296081 292080 288079 287078 283078 279077 278080 281082 283083 286085 288085 291086 295087 299087 301086 0.50 273075 272075 271074 270075 272076 273075 1.00 370987 369986 368987 366987 366990 367990 368990 369989 370987 1.00 318761 317755 314754 308757 302762 294764 290765 288768 288774 290779 294779 298773 304772 311769 316765 318761 1.00 302853 303847 303841 302831 300827 298828 295835 292844 292851 292857 290860 287866 285875 282881 279888 279898 281908 282910 284909 289903 291895 291891 293887 296880 296874 299868 298861 298857 301855 302853 1.50 287889 288887 288885 287884 285884 285885 283887 283889 282892 282894 282896 282898 282900 282902 284903 285902 286900 286898 286895 287893 287891 287890 287889 24HR QP VT 01/12Z 0.01 499661 498654 494651 492646 489643 485644 481647 475658 473662 469665 464667 458669 454668 450669 449672 449676 453678 457678 460682 463684 463688 463695 459699 451706 445710 443715 443719 444725 440727 436733 433737 432740 437739 439735 444732 446737 442740 442744 440747 436748 430748 427749 425753 421754 417756 414760 415765 419767 420771 423774 422778 419778 418782 417790 414791 411789 408790 405792 405799 406804 406809 402816 400820 404823 404827 400831 403838 400842 396845 397848 399848 400852 398857 392862 394867 398869 402869 404870 404873 404880 412886 411891 408893 406894 401899 401906 399910 396910 392907 386905 383906 385911 388914 388918 385919 378923 378929 380929 384934 385936 386940 389943 391940 389936 386933 389932 391932 398932 399936 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256968 262966 266965 272965 275967 274973 272976 267978 266983 267987 273991 276994 274998 276001 278006 281014 286020 290027 291035 293035 294032 292026 289017 289014 286012 290009 292004 290998 288995 290991 286989 284987 285985 289984 293981 294992 294002 296007 301007 306000 310998 310994 313996 317994 319996 320991 326990 326999 326004 325010 328019 331032 340037 345037 347042 347046 343050 336051 328055 327058 331061 332064 331067 331073 328075 325077 321078 320085 318084 318081 317080 314082 311084 307083 301080 295078 290076 285076 281077 270080 266083 267087 269091 272095 276097 279102 280107 282110 290117 294118 297120 304125 309128 312131 317138 320142 322143 328144 331143 333152 333156 336158 339162 343162 345165 348161 350159 349157 348151 347148 344147 338148 343155 345158 341157 338152 335149 335145 337141 336138 332138 329140 325138 323135 324131 326129 329129 333132 345140 350145 352148 355147 356151 354154 353158 361164 354164 354167 356167 359172 357174 355171 355175 360177 359181 353182 351186 360187 375197 382203 386213 390213 395213 398213 400209 402205 401200 398194 398188 399183 398178 395175 390164 386166 383167 382164 381156 378160 374161 372163 369160 367160 367156 370154 369150 373147 371144 370138 369134 369131 371129 374132 377130 378129 379126 377123 378120 381120 383118 383115 380115 377112 380110 383108 382106 381104 378103 381099 384093 385090 383090 380089 380086 381079 385075 389073 401059 407060 410057 415057 424058 425056 424053 416051 414047 415045 414043 414039 416039 417042 420048 421045 423041 426042 430041 431037 435035 433032 433028 434020 434016 435014 436009 433003 430999 427993 427982 425977 424973 421958 421950 421944 420934 417924 414925 411925 410922 408923 408916 408910 410908 413898 418884 425861 425853 427848 430845 432849 434852 437853 435855 436859 441863 446863 450860 451855 453853 455855 455865 455872 454876 456879 459890 465909 465915 469915 467908 473890 473888 479875 475868 474865 474863 474858 473853 467848 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434966 434968 435969 436969 437968 438966 438965 439964 0.25 431993 432986 430984 428990 425989 424981 422977 419966 421961 422956 426954 428949 426940 422937 420938 419942 420949 421953 419956 416956 411950 411953 412956 413961 406961 401961 396964 396969 399973 407978 414983 419992 417996 415999 416005 420008 429006 431993 0.25 416938 416935 414933 412931 411933 412935 412936 414938 416938 416938 0.25 385196 385194 383193 382193 381192 379192 378192 379194 381196 382197 384197 385196 0.25 378078 377078 377076 376074 376073 374073 372072 371072 369073 371073 372074 374075 373077 373080 374081 375082 377080 377078 378078 0.25 364157 364155 363154 361154 360156 361157 362159 364158 364157 0.25 373066 373063 370062 368060 364061 362062 359062 357063 356067 357069 360071 364071 367070 365068 366065 369065 372066 373066 0.25 366092 366090 364089 362088 361087 359089 358089 357091 357092 356093 356095 356096 358096 360094 360093 362093 364093 365093 366092 0.25 367025 361014 361004 360996 361989 358983 353979 346978 344976 341975 337982 331993 329995 328000 329005 331006 334013 336021 339025 345028 359032 363029 367025 0.25 364054 363053 361052 359052 358053 357053 356054 354055 354058 355059 357059 359059 360058 361058 363056 363055 364054 0.25 354746 353743 351742 347741 346739 344741 337753 329765 321778 318783 313789 307793 299795 282793 275793 268794 261797 263801 266803 267808 271809 273807 280809 279814 272818 268818 265817 260817 259820 260824 261829 261835 260842 260852 260859 260870 261880 262899 264917 264927 264933 265937 270949 274951 275947 272940 270935 271930 275925 280921 283915 290899 286895 289887 290883 292883 294886 298886 300876 293870 295864 296855 300854 303856 306861 307865 306868 308871 310867 313858 312850 316846 318851 324849 328845 332842 332838 332830 334822 338817 340800 339797 337793 333791 340786 343781 342776 345773 348771 349765 352758 354751 354746 0.25 365974 365972 364970 362971 362972 362974 364976 365974 0.25 354117 354112 353108 351110 349113 347113 345107 343102 344098 343096 341087 342083 341081 337080 335082 333087 334093 334098 337103 338115 342119 342122 345126 347125 348121 352121 354117 0.25 356075 356073 353071 351073 349077 349079 347083 346088 346092 347095 350095 351090 353088 354086 354082 352080 352079 354077 356075 0.25 350106 351104 350102 350101 350099 349097 347099 346101 346103 346104 348105 348106 350106 350106 0.25 342074 342073 340072 338073 337073 336074 335075 334076 332076 331077 332079 333079 334079 336079 338079 339078 340078 341076 342076 342074 0.25 333804 332795 329795 327798 318806 313810 306813 301816 300820 298823 295824 293827 295831 297834 298836 297840 295847 296851 298851 303846 305844 309844 314844 316843 318836 321830 324823 326816 328810 329807 333805 333804 0.25 329103 330101 329099 327098 325100 326102 326105 328104 329103 0.25 320112 320110 320108 319107 317105 315105 314107 314109 315111 316112 318113 320112 0.25 323001 322000 320000 319001 320001 322001 323001 0.25 313828 314826 313825 311824 309823 307824 306825 307827 307828 308829 309830 311830 313830 313828 0.25 303979 303978 301978 300979 299981 301982 302981 303980 303979 0.25 254804 255801 254800 252801 251802 250803 249804 250805 252805 254804 254804 0.50 450916 450913 448912 446911 445910 444911 443911 441913 440916 439916 439918 440919 441921 443922 445922 447920 448918 450916 0.50 446964 446961 445961 444961 445964 446964 0.50 425949 425947 424945 423943 422945 422947 423949 424950 425949 0.50 422992 424989 424987 422985 421983 419985 419986 419987 420989 420990 422992 422992 0.50 420919 420917 419915 417916 417917 416919 417921 419920 420919 0.50 418978 417973 416970 415968 413966 410964 407963 405963 402963 400963 399968 400971 403972 405973 409975 410976 414977 415979 418978 0.50 362067 362065 361064 359064 357065 357067 358068 360069 362067 0.50 363025 359016 357002 355997 355991 354989 351988 344987 341987 339989 335993 332996 335999 339002 341004 340008 340012 341015 338017 338021 341025 345027 352027 357029 361029 363025 0.50 360056 359055 357055 357056 357058 358058 359057 360056 0.50 351751 351748 349749 344752 339755 337759 331768 325778 318787 312794 307797 300799 288798 283798 277797 272797 270800 274804 278807 282808 284810 284813 281817 276819 264822 264835 263844 264852 264858 266866 267872 270875 279883 278886 276887 271888 266890 266898 266909 268917 270922 273923 276921 279916 281912 281904 281896 281889 285884 284880 285875 282871 283866 286862 290862 290855 290851 290847 292841 294836 291830 290826 292822 299813 309808 318800 332787 338779 343768 348759 351751 0.50 354075 355073 354073 353073 352075 352076 354075 354075 0.50 352086 353084 352082 350082 349083 350086 352086 352086 0.50 342098 342096 341093 340093 339091 337093 336094 336095 336097 336098 337100 338100 339100 341100 342098 0.50 339084 337083 336084 335084 335086 335088 337086 339084 0.50 330822 330820 328819 327820 327821 327822 329823 330822 0.50 323840 323838 323837 321838 322840 323840 323840 0.50 309854 309852 307850 306852 306854 307856 309854 1.00 412970 410968 409970 410971 412971 412970 1.00 360025 359022 357020 356018 355013 356009 354006 353009 353013 354016 354020 353022 356022 358025 360025 1.00 348002 347001 347000 346999 344998 343000 344001 344002 346003 347003 348002 1.00 339766 336766 334768 333770 331772 330774 328777 327780 325784 327785 329784 330782 332779 334776 335774 336771 338769 339766 1.00 300808 301804 298804 294803 291803 287806 289810 289814 287816 290818 292816 295814 297812 298810 300808 1.00 288835 288830 285827 282821 276822 272823 269826 267829 267833 268839 267849 267854 269859 276859 278856 279852 279848 281844 284839 288835 1.00 281802 279802 278803 280804 281803 281802 1.00 276910 276908 277906 276904 276902 276900 275899 274898 273896 271895 270896 270898 269899 269900 269902 268904 269907 270908 270909 271911 272913 273914 275912 276910 1.50 285833 282827 279823 274824 270828 269832 270837 271845 270851 271853 274854 276847 278842 281838 285833 2.00 282833 282831 281829 280827 279825 278824 276825 274826 272827 272828 271830 271831 271832 271834 273836 275838 277837 279836 280835 282833 3.00 277830 276828 274829 274830 274832 275833 276832 276831 277830 $$

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