QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 618 PM EDT TUE APR 19 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 20/0000 UTC THRU APR 23/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR UPDATE BASED ON 18Z MODEL GUIDANCE... MAIN FORECAST PROBLEM REVOLVES AROUND THE PLACEMENT OF PCPN AHEAD OF THE LINE OF CONVECTION DEVELOPING ACROSS THE MID/SRN MS VALLEY. RAP32 AND CNEST4 BOTH SEEMED TO HANDLE THE PLACEMENT OF WHERE THE STORMS WOULD INITIATE BUT THEN SEEMED TO BE A BIT SLOW IN BRINGING THE PCPN EAST...AT LEAST COMPARED WITH THE OPERATIONAL GLOBAL MODELS AND THE NSSL WRF HI RES/CONVECTION EXPLICT MODEL. BASED ON RADAR AND SATELLITE LOOPS...OPTED TO GO CLOSER TO THE FASTER SUITE OF GUIDANCE IN THE SHORT TERM. THE EASTERN EDGE OF THE PCPN SHIELD IN THE HPC MANUAL PROGS MAY END UP BEING A LITTLE TOO FAR EAST BUT FELT THERE WAS ENOUGH MODEL GUIDANCE POINTING THAT WAY THAT WE OPTED TO NOT MAKE TOO MANY SIGNIFICANT CHANGES. THE AREA FROM THE SOUTHERN GREAT LAKES TO THE OH VALLEY WERE EQUALLY CHALLENGING DUE TO LARGE TEMPERATURE DIFFERENCES WHICH HAVE DEVELOPED ACROSS AN EAST TO WEST ORIENTED FRONT. MODELS WERE STILL INDICATING PCPN TO DEVELOP NORTH OF THE BOUNDARY AS WARM AND MOIST AIR RIDES UP AND OVER THE SOUTHERN PERIPHERY OF THE COLD AIRMASS. REPORTS OF THUNDER ACCOMPANYING THE SNOW/SLEET IN SRN WI POINTS TO THE STRENGTH OF MESOSCALE FORCING THAT CAN STILL COME INTO PLAY FURTHER EAST AFTER THE START OF THE FORECAST PERIOD. LOWER TO MID MS VALLEY...OH VALLEY...ERN LAKES INTO NRN NY... THERE ARE ONLY SOME MINOR TIMING DIFFS WITH THE NEWD MOVEMENT OF SFC LOW PRESSURE FROM THE MID WEST...INTO THE ERN LAKES TONIGHT/EARLY WED...NRN NY BY WED AFTERNOON...AND THE SEWD PUSH OF THE TRAILING CDFNT THRU THE MID TO LOWER MS VALLEY...OH VALLEY AND TOWARD THE TN VALLEY. PW VALUES EXPECTED TO REMAIN WELL ABOVE AVG ALONG AND AHEAD OF THIS FRONT AND TO THE NORTH AND EAST OF THE NEWD MOVG SFC LOW...WITH PW VALUES 1-2+ STD ABOVE THE MEAN EXPECTED. THESE HIGH PW VALUES AND STRONG UPR DYNAMICS AHEAD OF THE UPSTREAM MID TO UPR LEVEL TROF MOVG INTO THE MID TO LOWER MS VALLEY WL SUPPORT INCREASING CONVECTION ALONG THE CDFNT LATE THIS AFTERNOON...WITH WIDESPREAD ORGANIZED CONVECTION EXPECTED BY CONVECTIVE MAX TIMING STRETCHING FROM THE ERN LAKES SWWD THRU PORTIONS OF THE MID WEST..MID TO LOWER MS VALLEY AND OH VALLEY. LATEST MODELS HAVE GENERALLY THE SAME QPF AXES..WITH POTENTIAL FOR MDT TO HVY PCPN AMTS. THE DAY 1 QPF LEANED MORE TOWARD THE LATEST HI RES ARW/NMM FOR THE EWD AND SEWD PUSH OF THE CONVECTION..WITH THESE MODELS TRENDING FASTER THAN THE OPERATIONAL NAM/EC...WITH THE GFS CLOSER TO THE FAST END OF THE GUIDANCE. WEAKENING DYNAMICS DURG THE DAY ON WED SHOULD DECREASE THE AREAL EXTENT OF ORGANIZED CONVECTION AS THE FRONT MOVES TOWARD THE APPALACHIANS AND EWD INTO THE MID ATL. NRN PLAINS...UPR MS VALLEY...UPR LAKES INTO NRN NEW ENGLAND.. AN ORGANIZED COMMA HEAD/DEFORMATION PCPN BAND WL PERSIST DAY 1 FROM ERN PORTIONS OF THE NRN PLAINS...EWD INTO THE UPR LAKES TONIGHT/EARLY WED...SPREADING ENEWD INTO SERN CAN/FAR NRN NEW ENGLAND DURG WED. LATE SEASON HVY SNOWS LIKELY IN THIS AXIS...WITH GREATEST UVVS SUPPORTING HEAVIEST SNOWS FROM NERN WI...ACRS THE NRN L.P. OF MI..EWD ACRS FAR SERN ONTARIO...FAR SRN QB AND INTO FAR NRN MAINE. SEE THE LATEST QPFHSD FOR FURTHER WINTER WEATHER DETAILS. NRN CA EWD INTO THE NRN GTBASIN... SEVERAL PIECES OF SHRTWV ENERGY IN THE WLY MID TO UPR LEVEL FLOW OVR THE NERN PAC WL PUSH INLAND INTO NRN CA INTO THE NRN GTBASIN TONIGHT INTO WED. UVVS EXPECTED TO BE WEAK WITH THE LEAD AREA OF SHRTWV ENERGY MOVG INLAND TONIGHT..WITH STRONGER UVVS EXPECTED TOWARD THE END OF DAY 1 AFFECTING NRN CA INTO FAR SRN OR. THE DAY 1 QPF DID NOT DEVIATE FROM THE MODEL CONSENSUS OF LIGHT AREAL AVG PCPN AMTS. ...DAY 2... ...SRN/CNTRL PLAINS EASTWARD THRU TN RIVER VALLEY... A STALLED SFC/850-MB BNDRY HANGING ON ACRS THE DEEP SOUTH WILL SET A FOCUS FOR CONVECTIVE PCPN DURING THIS PERIOD OF TIME. CONVERGENCE OCCURRING ALONG THE FRONT SHOULD PROMOTE STRONG UPWARD MOTION AS A LARGE FLUX OF MOISTURE SURGES NORTHWARD FROM THE GULF OF MX. IN ADDITION...A MID-LEVEL VORT MAX DEVELOPING WITHIN THE GENERALLY ZONAL FLOW ACRS THE SOUTHERN TIER STATES WILL FURTHER ENHANCE SOME OF THE CONVECTION W/ THE HEAVIER AXIS FCSTED FROM CNTRL AR AND INTO THE SRN APPALACHIANS. OVER THE COURSE OF THE PERIOD...THE BOUNDARY IS EXPECTED TO RISE NORTHWARD AS A WARM FRONT WHICH WILL SHIFT THE SHIELD OF PCPN FURTHER AWAY FROM THE GULF COAST. OVERALL...MODELS HANDLED THE SYSTEM WELL IN TERMS OF PLACEMENT BUT THE 12Z ECMWF/UKMET APPEARED TO HAVE CONVECTIVE FEEDBACK. SUCH EXTREMA WERE NOT CONSIDERED IN THIS QPF GRAPHIC. ...NW U.S. EXTENDING ACRS INTERMTN WEST AND INTO THE HIGH PLAINS... STRONG HGT FALLS ACCOMPANYING AN UPR TROF FROM THE EAST PAC WILL DRIVE A STRONG FRNTL BNDRY THRU THE INTERMTN WEST. THE SRN EXTENT OF THE TROF SHOULD NOT SURGE BEYOND THE CNTRL GREAT BASIN WHICH WILL KEEP THE DESERT SW DRY FOR THE PERIOD. FCST MODELS INDICATED STRONG H5 VORT MAXIMA PUSHING THRU THE GREAT BASIN AS AN ABOVE 100-KT 250 MB JET STREAK CROSSES THE REGION THU MORNING. THE LEFT ENTRANCE PORTION OF THE JET IS EXPECTED TO POSITION ITSELF ACRS PORTIONS OF ID...NV...AND UT WHICH IS WHERE MUCH OF THE PCPN WAS PROGGED. IN ADDITION...TOPOGRAPHY WILL ENHANCE LOCAL AMOUNTS WITH UPSLOPE PCPN OCCURING ALONG THE SIERRA NEVADA. OVERALL...THE HPC PREFERRED A MODEL COMPROMISE BETWEEN THE 00Z ECMWF AND THE IN-HOUSE 06Z PSEUDO ENSEMBLE BIAS-CORRECTED QPF. ...INTERIOR NEW ENGLAND... A POWERFUL UPR LOW TRACKING N OF LAKE ERIE WILL MAKES ITS WAY INTO INTERIOR NEW ENGLAND DURING THE D2 TIMEFRAME. ALTHOUGH THE LOW-LEVEL FLOW WILL BE FROM THE W ADVECTING DRIER AIR INTO THE REGION...STRONG FORCED ASCENT WITH THE ATTENDENT H5 UPR LOW WILL PROMOTE SHOWER ACTIVITY ACRS THE AREA. THE MODEL CONSENSUS WAS GOOD WITH THIS FEATURE...SO A COMPROMISE AMONG THE OPERATIONAL SOLNS WAS UTILIZED. ...DAY 3... ...GREAT PLAINS THRU MID MS VALLEY AND INTO THE MID-ATLC... AS THE LEAD ENERGY FROM THE WESTERN U.S. MAKES ITS WAY INTO THE HIGH PLAINS BY EARLY D3...MULTIPLE AREAS OF SFC LOW PRESSURE WILL DEVELOP IN RESPONSE. THE FIRST OF THESE TRACKING THRU THE DAKOTAS WHILE THE OTHER CYCLONE MOVING NORTHEASTWARD THRU THE LOWER MO VALLEY REGION. THE LATTER AREA OF LOW PRESSURE WILL ENCOUNTER THE MORE FAVORABLE MOISTURE SUPPORT AS A STRENGTHENING LLJ DEVELOPS ACROSS THE LOWER MS VALLEY. IN FACT...CURRENT FCT MODELS INDICATE THIS JET BEING IN UPWARDS OF 50 TO 55 KT. THIS ENHANCED LOW-LEVEL MOISTURE WILL QUICKLY RISE NORTHWARD WHERE IT WILL ENCOUNTER A ZONALLY-ORIENTED BNDRY SPRAWLED ACRS THE CNTRL PLAINS EASTWARD INTO THE UPR TN VALLEY/LOWER OH VALLEY. THIS BNDRY SHOULD BE THE FOCUS FOR ANOTHER HEAVY PCPN EVENT ON D3. GIVEN THE CONCERN FOR FLASH FLOODING...SRN MO/SRN IL WERE PLACED IN A SLGT RISK FOR EXCESSIVE RAINFALL DURING THIS PERIOD. AS THE AXIS OF PCPN WAS AGREED UPON FAIRLY WELL IN THE MODELS...THE OPERATIONAL RUN WHICH HANDLED THE HEAVIER AREAS BETTER WAS THE 12Z ECMWF. HPC UTILIZED THIS ALBEIT WITH SOME OF THE NUMBERS LOWERED WITHIN THE CONVECTIVE MAXIMA. ...UPR INTERMTN WEST INTO NRN ROCKIES... TRAILING MID-LEVEL ENERGY WITHIN THE NRN STREAM OF THE UPR TROF WILL GRADUALLY MAKE ITS WAY THRU THE NRN ROCKIES DURING THIS TIME. THE PRIMARY DRIVER FOR PCPN IS FCST TO BE IN ASSOCIATION W/ THE H5 HGT FALLS AS RIDGING BEGINS TO DOMINATE CLOSER TO THE SURFACE. PLENTY OF MODEL SPREAD WAS EVIDENT SO THE ENSEMBLE MEANS WERE FOLLOWED MORE CLOSELY FOR THIS SYSTEM. ORAVEC/RUBIN-OSTER GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 21/00Z 0.01 490671 488661 485651 476632 464616 458613 452612 448613 441617 431630 426636 421652 416664 415667 415671 415677 415684 414688 410696 407702 405709 402719 397732 390744 382757 355802 347810 340819 328841 316862 313868 312874 310890 308903 307909 308916 307929 304943 298966 295979 294986 294992 296996 299998 306000 311001 316999 320996 323991 328981 332969 337964 341961 343959 346957 352951 361942 369934 378925 388918 399910 403908 406906 410906 414908 418913 420923 420931 420937 421943 426950 429956 430962 432972 435980 436989 438998 442004 444011 446016 446021 449026 450033 454039 459043 463045 467045 471044 474042 479034 481026 482019 483008 486001 491987 495970 496963 495958 493956 487953 480954 474951 472949 470943 469931 469920 470910 470903 471895 472882 472875 473868 479854 483841 486832 486824 488803 489792 490784 495753 496735 496717 496706 495693 490671 0.01 535210 535199 534189 530183 528174 525169 520163 511155 508152 505155 501160 499163 498166 498172 501181 502185 502191 502196 498204 494208 492210 490217 491234 487237 485240 483246 485254 487260 490267 494273 504285 507286 510285 514280 518273 520264 521255 519245 518237 515232 512226 510222 509216 514211 517212 520215 523218 526218 528216 532214 535210 0.01 457189 458181 455175 455158 452151 448148 439141 433142 427140 422137 421129 421120 418116 415112 414107 412099 409095 406095 403102 399105 396107 392109 389112 388115 388117 389120 392122 399124 403126 404134 403143 403151 405155 412162 414167 414178 415184 414187 411195 411203 409210 405210 397201 388194 385192 379189 370185 368188 368192 370195 372198 379205 388212 396218 399222 394225 386223 383224 382230 383234 387238 391241 398245 404247 410248 420247 424246 427242 435228 437223 439215 441210 445204 451196 457189 0.01 453105 454101 454097 453096 450094 447096 444096 441094 438095 435095 434096 432098 431100 432104 434108 435110 437112 438113 441115 443115 445113 446111 448109 450107 452106 453105 0.01 422017 419012 416010 410002 407998 401000 398002 393003 387004 385007 376014 373016 371022 380028 391027 397024 403026 414025 419021 422017 0.01 413072 414068 414064 412060 407057 404055 398054 394057 391061 389065 389069 390076 392080 398080 401077 404076 409076 410076 413072 0.25 477657 474649 467643 459642 454642 449644 445647 442653 441662 441673 441682 438690 435698 420716 417725 415733 411752 406756 399759 397762 395767 393777 394797 393814 389823 383829 376834 371838 365839 359837 355837 350839 344843 339848 335855 331861 327869 325879 323888 322895 322904 322915 324925 327937 330946 333950 338951 344946 349940 358928 361923 367917 370913 375911 383906 389901 398895 411886 426881 431883 434888 436893 439897 442901 445902 450900 453896 456889 458878 463860 468836 474816 477798 481778 483766 485753 487732 487721 486710 484696 481679 477657 0.25 507273 509269 510265 509259 508258 507254 506252 504249 502252 500256 499257 496259 496260 493260 492262 492263 494267 494268 497270 500273 502275 502276 503276 505275 507273 0.25 469000 468991 467987 464982 461978 458975 455978 453985 453989 453998 454002 457006 463007 466004 469000 0.50 477688 473678 467670 461665 456667 452673 449680 448691 447707 444717 443720 439723 434726 430731 427739 425756 422764 418773 411786 408790 404792 404797 403806 401814 397829 391843 394845 396851 394857 391860 384864 377868 369872 362871 356856 348852 345852 340854 332865 329872 328880 326894 326904 328915 332933 335939 339942 343940 348936 353929 363916 372904 375901 379902 383900 394891 407879 421867 427863 431861 435861 448864 453861 455857 458852 459846 466810 470792 475771 477750 479734 480721 480707 478693 477688 1.00 468709 467703 464699 460701 455710 454717 454727 453735 447733 441736 437742 435751 432766 428774 424782 418794 414812 411826 408833 406842 408853 409858 411861 414859 416856 419847 422833 433820 437814 444809 447806 448801 450792 452784 454776 461760 461752 459742 462734 463724 464720 467716 468709 1.00 393877 392872 388870 383872 380873 363886 360888 357884 355878 352876 349874 347870 343865 340863 335866 333871 332879 330890 330900 335922 337929 340934 343935 345934 352925 356917 366903 374896 381891 386888 389885 393877 1.50 447761 447754 445749 441749 438753 436760 435768 432778 430784 427791 424799 427805 428806 433803 440795 442790 444780 446770 447763 447761 1.50 358902 359899 356897 353895 353886 352883 350880 347880 344879 341880 338884 335892 334902 336912 338925 342931 347928 349924 354916 357906 358902 2.00 438783 437780 436779 435781 434784 433786 435788 438785 438783 2.00 350908 349901 348895 345892 344889 343888 340890 338896 337901 337905 338911 339918 340925 341928 344927 346923 348916 349912 350908 24HR QP VT 22/00Z 0.01 497654 495647 492641 485633 477628 469624 462625 452630 443634 436642 433646 428650 425654 424659 425667 428675 435688 437694 437699 435711 436722 435729 434734 431744 431756 433761 438765 441764 444764 447762 450763 450765 450779 448804 449816 450824 452831 455835 459837 469838 474835 477830 481819 487793 491771 493759 495744 500721 501709 501693 500672 497654 0.01 527188 528181 527175 525165 520156 514149 508142 504136 501131 497122 493108 488097 485093 481090 476087 471087 466085 462082 456073 450068 445065 441064 441056 447052 453052 460051 466050 469051 477058 485064 490065 495064 500059 503042 503037 503032 502023 499010 495998 491988 487979 475960 470954 464949 452939 424917 417912 410903 398887 387869 382860 380854 380847 376829 374816 372804 369792 368785 369780 369775 372771 375765 378758 379752 375748 372747 367749 362749 355746 346746 339750 334756 330766 320776 318785 317792 317803 317809 318815 318824 315833 313840 311850 308869 309880 311891 313905 316914 318924 319933 318941 315948 311956 306964 294977 289983 287987 285993 285999 288004 295008 304010 309010 313011 318012 323011 327009 331008 338004 344002 347999 351998 355995 358995 398996 399001 399006 396019 394031 392042 388045 386049 389057 387055 381061 372072 372079 372083 378090 383097 392101 392106 389109 380110 376114 374120 372125 372132 373136 375141 382148 388153 389157 388160 386164 385168 387175 391183 393186 393191 385190 371181 365180 361181 358185 360189 372201 376207 377209 377212 374213 371211 366210 361209 358213 357217 360225 366230 382245 395252 403256 410257 416256 421254 428251 437250 444249 447249 450247 453247 464247 474249 478247 483248 488249 492248 496245 501246 504247 507246 511241 514239 518235 522225 523215 522206 520200 522196 527188 0.01 488233 485232 482231 482232 485233 488233 488233 0.01 479199 481195 480191 479185 473184 470184 466187 463191 460196 457202 462205 466204 471203 475201 479199 0.01 451209 451205 450204 447206 444207 441206 440206 441210 444209 447210 450209 451209 0.01 346182 347175 347170 345166 340164 336162 331161 326162 324165 325168 330172 332173 338175 340179 342183 346182 0.25 491665 487656 480644 474640 466638 462642 459647 458652 458659 459669 461681 462691 462703 462713 462718 464726 466734 470736 472740 475744 478745 483743 485740 489731 492720 494709 495697 495686 493673 491665 0.25 493148 493144 492142 490139 489138 486136 484134 483133 480133 478133 477133 477135 479138 480139 483141 484143 486145 487148 488149 491150 493148 0.25 485165 483159 478154 476150 475145 471140 466136 461131 457124 458117 459109 456101 452096 444094 439092 435093 429097 424103 421107 417106 415103 414098 413094 409092 406096 403106 400111 398115 399121 403124 409126 417128 422132 425135 424140 419146 415153 414161 414167 417173 421177 425177 430174 435171 439169 443172 448175 452179 456177 464167 469164 474164 478166 485165 0.25 466008 467002 466995 463991 459988 452986 450985 447987 441991 435988 427985 420982 417983 415986 414992 414999 416011 415026 415036 415041 416045 420047 425048 427047 429044 430040 431027 434019 439011 446011 452009 460009 466008 0.25 432232 434229 434224 428219 423217 420210 418205 413201 401201 394199 390198 383195 376195 376199 378202 382207 390216 399223 399227 397232 398235 401238 408240 415241 425238 432232 0.25 421064 420056 419052 417053 414055 410057 405057 401057 395061 389067 385072 385077 387080 389083 392085 401086 409086 415082 419076 421064 421064 0.25 395937 394924 391907 389901 386896 378891 373891 368894 364894 362886 360874 359859 360849 360837 361826 359820 356816 354811 352804 350797 350792 350788 348784 344781 341782 339784 334792 333797 335804 339817 337829 335838 329845 327850 327856 326867 325876 325888 326903 327914 329926 329939 327951 328957 331961 337959 342957 346961 346964 344969 343974 345979 350980 356979 368977 373975 377972 384964 388959 393952 395942 395937 0.50 489687 487684 484681 481684 478691 476696 475702 474709 474714 475718 478721 481723 485722 487718 488712 490706 490699 490691 489687 0.50 481664 479660 478658 477657 473656 474660 475664 477667 478667 481665 481664 0.50 417224 415216 408213 401208 395204 389201 382200 383204 385207 390212 396217 401221 403224 404228 406231 411231 415227 417224 0.50 408068 407068 404067 403068 404070 407068 408068 0.50 387920 386912 383906 378904 375905 371911 368917 366922 363926 359930 357935 354950 354964 354967 356970 361971 368969 372965 379956 381950 383943 386932 387920 0.50 357834 356828 354824 351823 348824 345828 342837 339845 336849 334853 331861 329872 329883 330896 331906 332930 333933 337938 340938 342936 345931 351926 352922 354921 355918 356907 356896 355882 354871 354849 357834 1.00 371950 371946 371943 369941 366943 366944 364946 363948 362952 361955 362959 363959 366959 367958 368956 370953 371952 371950 24HR QP VT 23/00Z 0.01 488657 485649 483645 478641 474640 470639 467641 465643 463650 460662 460672 461681 464688 468693 472695 475694 480690 485680 488674 489668 488657 0.01 516181 518174 517165 514153 510144 510133 508104 506095 505088 491059 489053 490045 493035 496023 496018 500013 504004 509994 512984 516974 515952 514937 512929 510918 506905 502895 501891 497885 488873 477860 464849 458845 452837 447831 444824 437808 429784 426774 422766 419756 413749 402737 395737 387737 381738 377740 369745 363748 358754 355757 349758 343762 335767 330770 327773 324776 326793 326803 324812 329822 332830 339834 344839 352850 356856 358865 359870 359881 358899 357906 354914 347930 330954 322963 312972 306978 300982 288989 282992 279994 278997 276003 278010 279015 281019 287018 296017 303014 316006 326000 330997 335991 345982 356974 361973 364975 368979 372987 377996 381004 385010 392023 392034 390040 384054 381061 378062 372061 370061 368064 369068 372076 375095 380101 387100 397100 401094 404093 404098 403102 402103 390111 378116 374122 374128 374134 379140 385142 388131 394127 409129 414128 418129 425133 431129 435124 440125 442129 440134 437141 436148 436153 437157 441159 447163 465165 472170 477173 489179 499179 505180 509182 516181 0.01 490220 491215 488211 484210 479210 473211 469210 464213 458215 454217 452222 455225 459226 466223 472222 478221 487222 490220 0.01 413231 415223 415219 413215 408215 405213 397205 390199 381194 378197 378201 380204 385208 393214 398219 404223 403226 402231 405234 410234 413231 0.01 421103 424099 421095 421094 420091 419088 418086 416084 415083 412083 409087 407090 404091 406092 409092 411095 412099 414103 415105 418105 421104 421103 0.01 409156 410152 409149 406149 403151 403152 400154 400155 400158 403157 406157 409156 409156 0.25 497149 496141 493135 486126 478116 473103 470097 467091 461089 459085 457077 453072 450068 451064 453061 455057 456051 458042 461037 464030 467026 475017 479012 482006 486994 488986 489977 488957 487938 485930 482926 478922 474919 463916 457915 454916 451918 449925 449928 452936 454945 454954 453962 452970 451978 451988 451996 448009 446017 443023 435032 433037 432042 433049 436054 440059 440063 439065 438069 438072 443076 448080 451083 455089 451093 445095 444096 443101 438104 438109 448116 462115 467119 468123 469128 469136 470138 473141 479141 483143 491152 497149 0.25 413776 410765 409762 406760 401759 397759 392760 389763 385767 380780 376786 371790 359797 353802 350807 349814 349819 356831 360836 362841 366850 367859 368868 368874 368881 367891 365903 363917 359928 352940 346949 338958 336965 337968 341968 354962 360960 367960 373961 378966 385977 398998 402004 406007 409009 412010 415007 416002 416995 415986 412970 411959 412956 414953 419943 424927 425922 426912 426904 425894 421875 417853 416838 416808 415790 413776 0.25 412072 411068 410067 407066 404065 403064 401062 398062 395064 394064 392068 391072 392076 395078 398078 401077 402076 403072 404070 406072 407073 410073 412072 0.25 326982 326978 325977 322977 319978 318980 317981 314983 313987 313990 315991 318990 321989 323987 325985 326984 326982 0.50 411798 411790 408784 403778 398777 393779 388786 370817 369821 370828 371836 372848 372858 370895 369906 367914 362931 358941 356949 359952 363953 371954 377955 380957 385962 390968 394970 399969 401966 403959 403951 409933 412922 413913 414904 412890 410875 408864 406852 405841 406829 407822 409813 411802 411798 1.00 398808 398802 395800 392802 391804 388809 382816 381823 381830 380845 379852 378861 378875 374905 373913 372920 368934 368938 369943 372946 379947 385951 388955 392955 394953 396946 397937 399923 401905 400888 397868 396860 397853 399836 399828 398820 398808 1.50 392846 390843 388842 388844 389848 390848 392846 1.50 394896 392877 390868 387861 384867 383873 381887 378900 377915 377921 377930 380938 383940 387943 391938 393926 395911 394896 2.00 391908 391900 390893 388886 385882 384887 383891 382895 381903 381907 381914 382922 384926 387924 389919 391912 391908 $$