QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 546 AM EDT SAT APR 23 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 23/1200 UTC THRU APR 26/1200 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... UPDATED.. STILL A LITTLE IFFY ON EXACT LATITUDE OF MAX OF RNFL THRU MID MS/LWR MS VLY AREA WITH NO TREND NOTED IN 00Z ECMWF WHICH REMAINS A LITTLE NORTH OF THE MANUAL QPF. OTHER THAN ADJUSTING FOR CURRENT OBSERVATIONAL DATA..ADDED TO AMTS OVR SRN NEW ENG LATE IN THE PD AS WELL AS DECREASED TOTALS A BIT OVR CNTRL TX BASED ON PREPONDERANCE OF GUIDANCE. ALSO..ADDED TO TOTALS OVR NERN/CNTRL OK AS ELEVATED CNVCTN REDVLPS THERE LATE IN THE PD IN REGION OF FVBL ISENTROPIC LIFT. ...WEST COAST EWD TO THE CNTRL ROCKIES... SHRTWV ENERGY SHEARING UNDER THE UPPER RIDGE TEMPORARILY ANCHORED OVR WRN CANADA AND THE PAC NW WILL TRIGGER SHWRS FM CA EWD TO THE CNTRL ROCKIES. MODEL QPFS ARE IN GOOD AGREEMENT CONCENTRATING THEIR HEAVIEST TOTALS OVR THE CO ROCKIES WHERE THE BEST MID TO UPPER LVL FORCING AND RELATIVELY MOIST LVL ELYS WILL BE FOCUSED. ELSEWHERE..MARGINAL MSTR WILL KEEP AMTS ON THE VERY LGT SIDE. TOWARDS THE END OF THE PD..A SHRTWV APCHG THE PAC NW WILL BEGIN TO BRING SHWRS TO THAT AREA. ...CONCERNING THE LIFTING OUT GREAT LAKES UPPER TROF AND ITS ASOCTD FRONTAL BAND... MODELS AGREE WITH RAPIDLY LIFTING OUT THIS FEATURE BUT LEAVING ITS TRAILING FRONTAL BAND TO FOCUS SGFNT SHWRS FM THE MID ATLC REGION WSWWD TO THE SRN PLAINS. MODEL QPFS ALL FCST LGT TO MDT PCPN TOTALS ACROSS THE NORTHEAST IN THE STRONG ISENTROPIC LIFT REGION PRECEDING THE LIFTING OUT SHRTWV TROF/CDFNT. MEANWHILE....ALL THE MODEL QPFS INDC SGFNT RNFL TOTALS ALONG THE TRAILING FRONTAL BAND FM THE OH VLY SWWD TO THE SRN PLAINS. HOWEVER SLIGHT BUT IMPORTANT DISAGREEMENTS WITH LATITUDINAL PLACEMENT ARE EVIDENT..LIKELY DUE TO INTERACTION OF SYNOPTIC/MESOSCALE FORCING. WITHOUT A SGFNT SHRTWV IN THE SWLY FLOW ALOFT TO LIFT ACTVTY BACK NWD AGAIN..PREFER THE SLIGHTLY MORE SRN GEM REGIONAL AND ARW MODEL QPFS AS THE BEST ACTVTY FOCUSES IN THE PRE-FRONTAL MSTR CNVGNC AXIS ACROSS THE OH AND MID MS VLY AREAS. IN ADDITION..WOULD PREFER TO KEEP THE HEAVIEST RAINS OVR THE MID MS AND LWR OH VLYS WHERE THE BEST NWD MSTR FLUX INTO THE FRONTAL BAND IS CONCENTRATED AND WHERE MULTIPLE CNVCTV SYSTEMS COULD OCCUR IN ASOCTN WITH WEAK PIECES OF ENERGY EMBEDDED IN THE SWLY FLOW ALOFT. IN ADDITION THIS AREA OF EXPECTED HVY CNVCTN COULD INHIBIT THE MSTR FLUX TO THE NORTH AND EAST WHICH TO SOME EXTENT COULD LIMIT AMTS OVR THE UPPER OH VLY. FINALLY...THE SRN PLAINS AREA IS DIFFICULT TO ASSESS AS SHWRS INITIALLY DVLPNG ALONG THE CDFNT COULD BEGIN REACT TO THE SHRTWV APCHG LATER IN THE PD AND LIFT/REDVLP NWWD. DAY 2... ...PAC NORTHWEST... A NEW UPR LVL TROF WILL BE DIGGING INTO THE REGION AS SHRTWV ENERGY ADVANCES ESEWD FROM THE GULF OF AK. INCREASING ONSHORE FLOW ASSOCD WITH THE APPROACH OF SFC LOW PRESSURE AND A FRONT WILL INCREASE THE SHWR ACTIVITY FOR THE WA/OR COASTAL RANGES BY LATE SUN AND SUN NIGHT. A 00Z ECMWF/GFS CONSENSUS WAS FAVORED HERE. ...INTERMOUNTAIN WEST/ROCKIES... HT FALLS WILL AGAIN CONTINUE TO TRAVERSE THE INTERIOR AS AN UPR TROF SLOWLY ADVANCES EWD OUT OF THE GREAT BASIN AND THROUGH THE CNTRL/SRN ROCKIES. MDT TO LOCALLY HVY OROGRAPHICALLY ENHANCED SHWRS ARE EXPECTED ESP FOR THE CO HIGH COUNTRY WITH THE AID OF FAVORABLE UPR LVL JET DYNAMICS AND STEEPENING LAPSE RATES. HPC QPF LEANED TWD A 00Z ECMWF/GFS BLEND HERE. ...SRN PLAINS/MID MS VLY INTO THE OH VLY/NRN MID-ATL... NO MAJOR CHANGES THE PREV THINKING AS THE SAME SYNOPTIC SCALE SET-UP THAT EXISTS IN THE DAY 1 PD WILL BE IN PLACE THROUGH SUN NIGHT AND INTO EARLY MON...AND WILL BE CONTRIBUTING TO AN ENHANCED HVY TO EXCESSIVE RAINFALL THREAT AS A STALLED FRONT WILL REMAIN FOCUSED FROM THE SRN PLAINS NEWD UP ALONG AND JUST NORTH OF THE OH RIVER VLY AND INTO THE NRN MID-ATLANTIC REGION. EXPECTING THAT THE FRONT OVER THE MID MS VLY REGION AND LWR OH VLY WILL AT LEAST ATTEMPT TO SLOWLY LIFT NWD LATE AS A WARM FRONT IN RESPONSE TO GRADUALLY LOWERING HEIGHTS OVER THE CNTRL/SRN PLAINS AND WITH THIS HELPING TO BACK THE MID/UPR LVL FLOW SOMEWHAT MORE DOWNSTREAM TWD THE OH VLY. REGARDLESS...ENHANCED LOW LVL SUBTROPICAL MSTR TRANSPORT AIDED BY S/SWLY H85 FLOW OF 50 TO 60 KTS WILL BE INTERSECTING THE BNDRY...AND THIS COUPLED WITH PERSISTENTLY FAVORABLE H25 RRQ JET DYNAMICS AND EMBEDDED VORT ENERGY IN THE LARGER SCALE FLOW WILL CONTINUE TO ENCOURAGE A WIDESPREAD AXIS OF HVY SHWRS/TSTMS. THE STRONGEST FORCING SHOULD BE FOCUSED FROM THE RED RIVER VLY OF OK/TX WHERE A COLD FRONT/DRY LINE WILL BE ADVANCING EWD...AND THEN ENHANCED NEWD INTO MUCH OF MO AND ENEWD TO THE N SIDE OF THE LWR OH RIVER VLY IN ASSOC WITH THE AFOREMENTIONED STATIONARY BNDRY. HPC QPF FAVORED A CONSENSUS OF THE 00Z GFS/ECMWF AND UKMET SOLNS...BUT ALL OF THE GLOBAL MDLS CONTINUE TO ADVERTISE VERY HVY RAINFALL TOTALS THIS PD ALONG THIS CORRIDOR WITH ADDITIONAL AMTS OF 3 TO 5 INCHES AND ISOLATED HEAVIER TOTALS POSSIBLE. ONGOING FLASH FLOOD CONCERNS WILL BE EXACERBATED BY THESE ADDITIONAL RAINS. DAY 3... ...NORTHWEST/INTERMOUNTAIN WEST... ADDITIONAL UPSTREAM SHRTWV ENERGY/HT FALLS ADVANCING ESEWD FROM THE GULF OF AK WILL YIELD A NEW ROUND OF OROGRAPHICALLY ENHANCED SHWRS BY LATE MON AND INTO EARLY TUES. THE NEXT SYS WILL BE A BIT STRONGER THAN ITS PREDECESSOR AND SHOULD BE ACCOMPANIED BY STRONGER DEEP LYR ONSHORE FLOW. STEEPENING LAPSE RATES COUPLED WITH THE PAC MSTR TRANSPORT AND ARRIVAL OF A FRONT SHOULD HELP TO GENERATE MDT TO LOCALLY HVY PCPN TOTALS FOR THE WA/OR COASTAL RANGES AND ALSO INTO THE CASCADES. FARTHER INLAND...ALREADY LOW HEIGHTS AND FAIRLY STEEP LAPSE RATES WILL CONTINUE TO FOSTER NUMEROUS SHWRS FOR THE HIGHER TERRAIN ALTHOUGH AMTS FOR THE INTERIOR AND INTO THE NRN/CNTRL ROCKIES SHOULD BE NOTABLY MORE MODEST BY COMPARISON. ...CNTRL/ERN U.S.... AN UPR LVL TROF WILL BE EJECTING OUT ACRS THE PLAINS THIS PD AND SHOULD AMPLIFY GRADUALLY WITH A CLSD MID LVL LOW CENTER EXPECTED TO LIFT TWD THE UPR MIDWEST BY EARLY TUES. A SWATH OF LGT TO MDT PCPN ASSOC WITH THE DEVELOPING MID LVL DEFORMATION ZONE SHOULD MOVE OUT INTO THE CNTRL PLAINS AND BEGIN PIVOTING NEWD BY THE OF THE PD TWD THE MIDWEST. MEANWHILE...SFC LOW PRESSURE OVER THE SRN HIGH PLAINS EARLY MON IS EXPECTED TO SLOWLY STRENGTHEN AND LIFT NEWD TWD LAKE MICHIGAN BY EARLY TUES...AND THIS WILL FINALLY ALLOW A STATIONARY FRONT ALONG OR JUST NORTH OF THE OH RIVER VLY TO SURGE NWD AS A WARM FRONT...REACHING INTO THE LWR GRT LAKES REGION AND AT LEAST BACK UP INTO SRN NEW ENGLAND BY EARLY TUES. A COLD FRONT ATTENDANT TO THE SFC LOW WILL BE ADVANCING EWD OUT OF THE SRN PLAINS AND WILL CROSS THE LWR/MID MS VLYS. UNFORTUNATELY...BOTH FRONTS WILL REMAIN SIGNIFICANT FORCING MECHANISMS FOR WIDESPREAD AND ORGANIZED CONVECTION...WITH VERY HVY RAINFALL AMTS ONCE AGAIN PROGGED TO IMPACT VERY SOAKED/SATURATED AREAS OF THE MID MS AND LWR OH VLYS. ADDITIONAL RAINFALL AMTS OF 3 TO 5 INCHES WILL AGAIN BE POSSIBLE WITH ISOLATED HEAVIER AMTS WHERE TRAINING CONVECTION OCCURS. THE HVY RAINFALL THREAT WILL BE SHIFTED A BIT FARTHER NORTH THIS PD INTO THE LWR GRT LAKES REGION AND SOME EXCESSIVE RAINFALL AMTS CANNOT BE RULE OUT HERE EITHER. HPC QPF AGAIN LEANED TWD A CONSENSUS OF THE 00Z ECMWF/GFS AND UKMET. KORTY/ORRISON GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 24/12Z 0.01 495656 491645 487636 484631 482629 477625 469621 462620 457620 451621 444623 439626 431631 425639 420644 416651 411661 404672 400680 397689 393693 386697 383699 378706 371719 365731 362737 361743 362748 363751 368757 375765 377770 377773 375781 372793 370805 369814 371831 369844 368850 365857 362860 359865 356871 354879 353887 350895 347906 343920 339932 337939 334945 328955 321965 313972 307977 303982 300988 296992 289996 285000 284004 286008 289012 291020 295022 301022 307021 318017 329009 334006 338000 341999 344996 348995 357002 369005 381012 388013 390017 391023 390032 386039 381041 374042 368044 364045 361047 350055 346061 348064 351065 358075 361080 361083 358086 357107 362113 366114 360114 357114 354111 350110 347112 346116 349123 352128 358131 367133 369136 370139 367144 366149 369154 374156 387160 383166 382170 383175 384177 382180 378179 375180 367181 364183 363186 363189 372200 379208 388215 389220 383222 382223 380226 382228 386234 390239 394242 402245 408244 413242 420244 426247 433247 440246 445244 451242 458244 469247 474249 479252 485255 490261 493264 496264 497260 497255 494248 493244 490239 485238 483235 480230 477228 471228 468227 468222 465218 463216 458215 449212 441210 427203 415196 409192 410181 411176 411172 409167 408161 412156 413153 413148 409144 404140 399135 408125 414119 414114 414104 412098 409090 409086 412083 415083 418080 424072 428068 433062 437056 439051 439041 438035 433029 429024 421015 416006 411991 409984 405977 402973 399971 395968 393965 392961 393959 395957 398958 400961 404960 409954 413947 416940 418933 419926 422910 424901 426893 428885 427875 423867 424858 426851 431844 438834 444828 448826 451824 455827 456830 457839 459850 461862 462875 462882 459890 452901 448907 442912 439918 440925 440931 436939 432952 429960 428968 426979 427985 429989 431992 435994 441990 446983 446978 449974 451969 454961 462948 465944 468942 472941 479949 484953 487956 487961 481973 475988 472996 469005 466021 465025 466032 468034 473034 478032 484026 486015 489006 494992 499976 501966 501959 500955 497950 496943 496928 493887 496869 497862 499854 503839 507823 509812 511802 512792 513781 512762 513751 513742 511721 509712 507705 506698 504688 500676 496661 495656 0.01 407198 409195 408193 407194 407198 407198 0.25 480670 477664 472661 462660 453658 448658 443659 439661 432666 425669 420674 416679 413684 406695 402706 399718 397730 396741 393765 389789 383815 381824 377835 374846 371856 368867 362880 358889 354901 351912 349923 346935 343944 337954 332962 320980 317984 316989 314994 315997 317999 331996 341991 348984 351981 354981 360984 364984 368983 371978 371976 372964 375951 377945 379941 383933 387921 391908 397882 402860 414811 415805 415797 420785 424774 426769 429765 436762 442762 447760 453760 461763 465767 469774 474788 477799 479810 481819 481824 483831 485830 490824 492818 494807 496791 496781 495772 492755 490745 487738 480723 474713 470708 466705 457706 453706 455701 457699 460696 465697 468701 473703 476702 479699 481693 482687 482682 480673 480670 0.25 439675 438672 436671 433670 432670 429672 429674 430678 432680 433681 436679 438677 439675 0.25 414068 413060 409054 406050 401048 394047 390046 386047 379048 374050 375054 376056 378057 378061 374063 371064 370068 371077 373083 382090 388093 395092 401082 405077 410074 414068 0.50 436709 431704 426704 424702 421698 418698 414699 410706 407714 406723 406730 404740 402748 399762 392795 383825 380832 378839 374855 372862 369871 363884 359896 353913 350929 348937 346943 340956 331968 327974 324981 323988 327990 332990 337988 342985 352975 357970 362963 365957 368951 371943 374937 381924 383917 386907 390892 394879 399860 402843 405828 408812 411794 412785 414776 416768 418761 421754 425747 429743 433742 437738 440734 438727 434722 435714 436709 0.50 405057 398053 392053 393057 389061 386064 384068 380072 375075 378081 384084 389081 394082 396079 401074 404064 405057 1.00 401807 399802 396805 392813 389820 385830 379848 373867 360902 355919 351939 349947 346955 341963 336970 331978 332982 338981 340979 345976 347973 352966 357960 362952 366944 368935 372927 380911 390874 394854 396845 397832 400818 401807 1.50 390843 389840 387840 384843 382848 379854 376865 373876 365896 359917 356929 355940 352952 355954 359951 364941 367929 371919 373915 376911 380900 383888 386877 388865 390843 2.00 384872 382864 379867 374879 370891 366901 362914 358927 358933 358937 360941 365929 368916 371911 375906 379894 382881 384872 24HR QP VT 25/12Z 0.01 523262 520256 517251 514236 513231 511229 507226 504211 496201 491198 488197 484200 479202 474202 469204 465204 462205 459203 460199 463194 466191 468186 468179 472173 476173 478176 481182 485186 491188 493194 496196 500196 505195 509198 513203 518209 522210 524208 526200 524193 522187 518184 512183 509182 507178 499177 496173 493167 490162 485160 475154 471148 467144 462144 458146 452147 442149 439153 441158 442162 440165 438164 428159 426154 424148 424139 420134 410130 411124 414122 420119 424118 423127 426130 429128 434119 437116 443113 446114 447113 447109 446106 437099 447097 447091 440089 439085 439081 443077 448077 450073 449071 445065 442060 442055 443052 446046 447040 447035 447030 445024 442020 437011 434004 433999 429986 426979 422974 419970 416967 413964 411955 410948 410941 414932 417920 422896 424883 424867 424837 427815 429807 430801 431797 430792 431786 430771 429766 429760 433710 433697 432691 428684 425680 421675 410680 408686 404688 402693 400699 397720 392743 386766 385772 386778 386787 385793 382802 381807 380812 379825 378834 374845 373850 371858 370868 369874 367880 364890 360901 353919 348929 344933 341937 335943 330951 323959 318966 312973 306981 302993 299001 297005 297008 298016 301020 307022 314016 321009 326007 330005 336004 341004 346004 349003 354001 358004 363013 362027 363033 366038 368041 368043 367046 364048 357054 352061 351073 349078 347082 338089 337095 339100 341111 343116 345120 375147 377156 377162 379167 383172 386181 390186 394188 398192 395198 393199 388198 384197 381198 381203 385207 394213 398219 402223 403224 403227 402231 395241 393245 393252 391269 392273 395276 402286 409292 418287 434277 453271 460273 467276 473278 479284 486290 490293 496294 498297 501297 504296 511294 0.01 433084 428072 424072 421076 417083 412086 408083 404086 401091 399098 399102 402103 405098 407096 410098 412103 415110 420112 424108 426105 429104 430099 425096 423090 423084 424082 430084 433084 0.01 316846 316840 315834 312830 310828 303824 300822 298819 293813 290809 287808 274805 261800 255801 252802 250806 251811 253815 257822 263827 270830 276832 283833 289835 295840 297842 300847 304853 311856 314853 316849 316846 0.25 508283 509277 509273 507264 505258 504254 505248 505240 503233 498218 494212 491211 484210 477212 467214 461216 455216 443218 440218 437219 433222 427223 425230 421234 416236 413240 412244 414251 418257 424258 429258 433257 445253 456253 463254 469256 477259 481262 486268 490275 494280 498284 503285 508283 0.25 501252 501247 498245 498246 498250 500252 501252 0.25 488224 487223 484222 481221 479221 480224 483226 486227 488224 0.25 419704 415698 413700 411704 409711 407721 403737 400754 399762 399771 399780 396789 392796 389803 386821 372887 366901 360916 358923 354929 345941 336953 326963 317973 312979 309985 306992 304000 303005 304011 307012 310010 315005 321999 332994 342992 351991 357988 366985 374982 380978 385972 388965 392957 394950 400932 406918 411902 413892 414883 416864 417824 418815 419807 421797 422788 421778 420768 419757 420749 422725 421712 419704 0.25 421033 422028 421023 419017 416010 413006 409002 401000 397000 393002 390009 390017 390025 388031 386039 383043 376044 372049 371051 374053 378056 382059 381066 369062 366063 364065 362072 364080 366086 370089 372090 373093 376099 377103 379105 382103 385097 388093 392090 401080 408072 410067 409060 409051 410045 418035 421033 0.25 288823 286820 285820 281819 278818 276818 275818 272816 269816 266816 265819 266822 269824 272826 275827 276827 278828 281827 284827 287826 288823 0.50 504272 503268 501263 496258 490242 486241 484243 481243 480241 478239 475233 467234 463233 460233 452232 446234 440238 435242 437246 441246 449246 456245 462246 471249 480250 484258 493272 499277 502276 504272 0.50 412743 411743 408743 408746 408750 411752 412747 412744 412743 0.50 417787 417781 415776 413772 410771 407777 404783 402790 399796 395801 394806 391820 391827 392831 388844 385857 380870 377883 375889 372894 366906 362918 357929 344948 312984 309988 307994 306001 306005 308007 311005 315000 319996 324994 335989 350986 359980 368972 379964 382960 386954 397929 401919 406905 409892 410885 411875 411868 410858 407848 407842 407833 408826 411813 417787 0.50 432245 430242 427239 424239 422239 419241 420245 420246 423247 426248 429248 432245 0.50 406026 407022 406019 405018 403015 402015 400018 399019 400023 400024 402027 403027 406027 406026 0.50 398076 396068 398058 398049 395044 391044 387046 381047 377049 376051 378053 384055 388055 392057 391061 386065 384069 381072 375067 371065 367068 367072 369079 375085 378093 384090 387087 387083 387079 392081 398076 1.00 402893 402880 398870 396868 393869 388875 373902 369908 366916 364923 360931 352943 344955 335967 324975 318980 314985 311993 310995 310000 316994 322990 328986 334984 343983 348982 352979 362969 373959 379953 383947 396918 399910 401903 402893 1.50 397895 396889 392887 385893 373907 368917 365926 361934 356942 346958 336971 333974 334977 339978 345978 350975 363963 370957 376951 381943 385933 391915 395903 397895 2.00 389909 389903 386900 381904 376909 371916 366929 363936 359941 356947 353953 344965 343968 342970 344972 348972 354967 358963 369954 374949 378943 381937 384929 387913 389909 3.00 377934 378930 378926 375924 374927 373928 372931 371933 370935 369938 368940 366942 366944 364947 364948 367948 368947 370945 372942 375939 375938 377935 377934 24HR QP VT 26/12Z 0.01 524261 524256 523253 522250 518247 516238 513231 510222 511217 513215 517209 521206 524197 527191 529185 530180 531173 531169 529166 526161 522158 519152 515149 512147 507145 504142 501144 497147 494142 492139 484129 472124 470120 472115 475111 469085 460076 456069 452066 447062 445056 447050 452038 461043 473050 485047 488045 492039 496027 498023 496018 495012 493003 490999 479996 473995 469992 462988 458987 456989 452993 448995 444992 440989 438983 440978 445979 450981 453977 458972 462967 463959 464952 465947 465942 461930 457921 456915 455906 456899 455890 453879 453872 455863 457849 457841 456834 455819 454810 453804 453792 453779 459750 460742 462734 462723 464717 465702 464686 461670 457664 454661 451658 449658 445660 438665 435667 433671 430682 429686 425686 421683 417686 413690 412694 411700 414725 411755 410762 408767 398780 394786 391790 381797 370805 361811 356815 353820 347826 341833 338834 335837 332841 328844 316849 315854 316858 318861 322865 327868 332865 336860 339855 344850 354846 359834 363829 368825 373823 379820 384816 391813 395821 371852 350866 332879 327883 321887 312895 302903 296912 292917 289922 289926 289934 287943 285948 284950 285953 289965 294973 297978 298983 298989 297992 299994 304999 310999 313997 328983 338977 345975 351976 362981 372994 374001 375009 375016 371019 365021 360026 358031 358039 360042 363043 365054 366059 365063 363067 365072 367076 369079 370082 371090 375098 392105 392109 386112 380114 377121 379126 381129 386131 390130 394128 395131 393134 390138 388145 389150 390157 388164 386168 386171 388176 390180 393182 396183 402182 406182 408188 408194 404200 399201 393199 389197 382196 378200 380207 382211 384214 387215 393217 396222 389222 386222 382220 376216 371218 369221 370226 372233 372238 377243 385250 388252 391253 398254 409257 414257 419256 431263 437265 442265 452264 461263 467265 471269 478279 480283 485287 492292 496295 501295 507292 512289 0.01 437084 433080 430072 425069 421069 418071 418076 412081 411086 412091 413099 415104 416107 418107 419103 425099 424094 423092 422088 423085 424083 429082 433081 435084 437084 0.01 403106 404102 404098 404096 402095 401094 400094 398098 399102 400105 402106 403106 403106 0.01 302817 301812 299808 295806 288804 284798 280793 275791 268790 263789 256790 252792 249795 247798 245804 246811 249815 260824 264826 270827 275827 278826 283825 292824 298824 302820 302817 0.25 456694 455685 451679 447677 444679 441682 437691 433701 432705 427711 425720 422737 419749 417761 415772 413782 411790 409803 407811 403818 391837 386845 381852 375858 368863 351874 321899 319901 314904 310909 304915 304926 300934 295941 293951 297957 300960 303960 308962 310965 312969 316968 321966 323964 327961 332960 338960 343960 361959 373959 381962 384966 385969 388980 392008 393013 397016 400016 403013 405008 407002 407991 406980 405973 403970 397962 395958 395954 397948 400939 403935 406934 410936 417934 424930 429928 434924 437919 438912 439905 439900 438890 438882 438877 440866 444843 444821 444808 446794 449772 455730 456709 457700 456694 0.25 502271 501261 499254 497250 501244 503241 504238 503234 501228 496215 492210 488207 485206 474207 468210 461211 451213 448213 444215 439215 427219 424225 425229 423232 420232 414233 411230 410227 408233 404232 404236 404240 406243 409246 415249 422249 445249 459250 468253 480262 488270 493274 498274 502271 0.25 494240 493238 492234 491232 490229 489227 486227 483226 480226 480227 481231 482233 485234 488234 491236 492239 493241 494240 0.25 490175 486168 481162 471149 468144 463140 456141 452146 447150 443150 438153 438160 440166 445169 447171 449179 447184 445187 449194 451195 453193 455191 460186 465182 471176 480180 486179 490175 0.25 451113 450109 450108 448105 447104 444102 441101 438102 435104 433108 433112 435115 438114 441114 443116 446117 449115 451113 0.25 413118 411116 409114 407118 408118 411119 413118 0.25 399076 400072 398068 398064 395060 392062 387065 385068 381072 376072 375075 375082 378084 381084 384085 386087 386085 387081 392082 395079 399076 0.25 267802 264800 261800 258800 256800 255800 253803 252805 252806 252808 253811 255813 257815 258815 261817 263817 264816 265813 264810 264808 265806 266806 267802 0.50 451708 450700 447694 444693 439696 437705 435713 434722 431728 428735 426743 423752 421762 419778 415793 410809 407817 402825 394838 387848 382854 378859 352880 347885 345892 343899 340904 336912 329917 326924 322929 310936 301943 298947 300949 302952 306955 311954 317953 328951 334950 342951 349952 359949 364948 368946 378936 383931 387925 391919 397913 409902 416891 422885 424882 426877 431859 437844 438835 439827 440808 441799 443789 445770 450736 451718 451708 0.50 495258 493251 490245 487241 484243 477231 474230 471231 469228 472224 480221 486219 486215 485212 482209 478209 472210 464214 458215 453215 443217 437218 433220 427223 430227 431230 428235 417236 415237 414241 417245 422247 427247 438244 447244 469243 473247 479249 482250 484253 487257 493261 495258 0.50 476163 475163 474159 473157 470154 469153 468152 465152 464153 461155 460156 461158 464160 465161 467163 469165 472167 473167 475165 476163 1.00 443741 442737 439736 435737 433742 430754 428767 425778 424786 421793 416804 413814 408824 400836 392846 388854 380862 361879 357885 357888 355893 353900 351906 345915 340923 335926 331930 326934 328937 331937 340940 346941 351940 360937 370928 378919 383912 390904 401895 407886 413877 419867 426854 430842 432832 434819 437788 439777 441764 443750 443741 1.00 464221 463219 460218 458217 455217 453218 451221 450221 451222 454224 457225 459225 462225 463224 464221 1.00 448225 448224 445222 442221 439220 437222 439225 441226 444226 448225 448225 1.00 322939 320938 317939 315940 318941 320941 322939 1.50 430813 429807 427803 423806 421809 416820 407832 398844 391854 387860 382865 372874 365885 359897 355909 353916 349922 349927 350930 353930 359927 365922 373913 382903 391894 396890 401885 408875 423850 425844 428836 430822 430813 2.00 424833 424829 421827 418827 413832 407838 401845 392858 386867 381873 370884 361898 361902 362905 364907 368907 377900 382895 394883 401876 407869 415854 419846 423837 424833 3.00 381885 380884 377884 374886 374887 372889 370891 369892 370894 373893 375891 378889 380886 381885 $$