QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 542 AM EDT THU APR 21 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 21/1200 UTC THRU APR 24/1200 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY1... UPDATED...CORRECTED FOR ONGOING SHWRS INVOF THE LWR MS VLY. IN ADDITION..OPTED TO TREND NWWD WITH AXIS OF PCPN PARTICULARLY ACROSS SRN PLAINS/LWR MS VLY REGION GIVEN TREND OBSERVED IN ECMWF AND ENSEMBLE QPF FCSTS. ALSO..ADDED TO AMTS INVOF CNTRL MT WHERE DVLPMNT OF A STG DEFORMATION ZONE AFTER MID PD WILL SERVE TO FOCUS PCPN. ...WRN U.S. TO NRN/CNTRL PLAINS... THE INTERACTION BTWN ONE SHRTWV NOW MOVG INTO THE PAC NW AND A SECOND NOW MOVG ACROSS CA IN TWO STREAMS OF ENERGY WILL SET THE STAGE FOR LGT TO MDT PCPN ACROSS THE WRN HALF OF THE NATION TDA. THE NRN AND STRONGER SYSTEM WILL BRING MDT PCPN TOTALS TO THE NRN ROCKIES..AND EVENTUALLY SHWRS ACROSS THE NRN PLAINS BY EARLY FRIDAY MRNG AS STRONG CYCLOGENESIS OCCURS OVR THE NRN PLAINS BY FRIDAY MRNG. STAYED CLOSE TO THE ECMWF GUIDANCE HERE WHICH SEEMED SUPPORTED BY TNGTS GEM REGIONAL. MEANWHILE..THE CA SHRTWV WILL BRING LGT TO CLY MDT PCPN FM THE SIERRA EWD TO THE CO ROCKIES AS WELL AS AID CYCLOGENESIS AS WELL AS ASOCTD SHWR DVLPMNT OVR ERN KS BY FRIDAY MRNG. THE GFS AND ECMWF QPFS AGREED ON THIS SCENARIO. ...SRN PLAINS ENEWD THRU THE OH VLY... E/W AXIS OF BEST BAROCLINICITY/ISENTROPIC IS EXPECTED TO BEGIN LIFTING NWD THRU THIS REGION AS THE ATMOSPHERE WARMS AHEAD OF THE BROAD TROF ADVANCING ACROSS THE WRN U.S. PIECES OF SHRTWV ENERGY BEING EJECTED FM THIS TROF WILL SERVE TO FIRE SHWR INVOF THIS FRONTAL BAND AS THE NWD ADVCTN OF MSTR INTO THE FEATURE INTENSIFIES WITH TIME AIDED BY THE AFOREMENTIONED CNTRL PLAINS CYCLOGENESIS. MODEL QPFS ALL OVER THE PLACE IN LEAST IN REGARDS TO TIMING THE SPECIFIC OUTBREAKS OF CNVCTN AS WELL AS LATITUDINAL PLACEMENT. THE 20/12Z MODEL RUNS AS WELL AS TNGTS 00Z RUNS AMPLIFY THIS CONCERN SHOWING LITTLE SKILL WITH THE CATCHING OF THE SPECIFICS OF TNGTS ACTVTY. THAT BEING SAID..ATTEMPTED TO BLEND OF A COMBO OF TNGTS GEM REGIONAL/THE 20/12Z ECMWF/TNGTS ARW MODEL IN ATTEMPTING TO PLACE THIS AXIS OF PCPN AND TIME THE CNVCTN. AGAIN CONFIDENCE IS NOT VERY HI IN THIS REGARD. ...GA AND AL... CNVCTVLY ENHANCED VORT NOW WORKING INTO NRN GA AND THE IS TRAILING VORT AXIS/LLVL CNVGNC AXIS SHOULD SERVE TO FOCUS SHWRS ACROSS THESE STATES TDA AND INTO THURSDAY NIGHT. DAY 2... ...WRN U.S... BROADLY LOW HEIGHTS WILL CONTINUE AS THERE WILL BE ANOTHER SHRTWV IMPULSE ASSOCD WITH SRN STREAM FLOW ADVANCING IN OFF THE PAC OCEAN. THE MDLS CONTINUE TO CONSISTENT IN ADVERTISING THIS. GIVEN RELATIVELY STEEP MID LVL LAPSE RATES AND OROGRAPHICS...WILL MAINTAIN A THREAT OF SHWRS FOR THE GREAT BASIN AND INTO THE CNTRL/NRN ROCKIES. PCPN AMTS SHOULD BE LGT THIS PD THOUGH. ...CNTRL/ERN U.S... THE LATEST IN A SERIES OF UPR TROFS WILL MOVE OUT INTO THE CNTRL U.S. EARLY IN THE PD/EARLY FRI...AND WILL DRIVE SFC LOW OVER THE S CNTRL PLAINS NEWD BY EARLY SAT TWD THE GRT LAKES REGION. THE HT FALLS WILL ALLOW AN AXIS OF LGT TO MDT RAIN AND SNOW TO IMPACT MUCH OF THE NRN HIGH PLAINS...DAKOTAS AND THEN INTO THE UPR MIDWEST/UPR GRT LAKES THROUGH THE PD IN ASSOCD WITH THE MID LVL DYNAMICS ASSOCD WITH A STRENGTHENING DEFORMATION ZONE AND AN AXIS OF FAVORABLE LOW/MID LVL FRONTOGENESIS. MEANWHILE...A SIGNIFICANT CONVECTIVE OUTBREAK IS EXPECTED ALONG AN AXIS INCLUDING THE MID MS VLY...AND ESP UP ALONG THE OH RIVER VLY AS THE 00Z MDL GUIDANCE SHOWS VERY GOOD AGREEMENT IN GENERATING A NEW SURGE OF DEEP SUBTROPICAL MSTR AIDED BY ENHANCING SWLY LOW LVL JET ENERGY AND COINCIDING WITH A STG FRONTAL ZONE AND FAVORABLE UPR LVL JET SUPPORT/FORCING. ALREADY FOCUSED ALONG AND NORTH OF AN ADVANCING WARM FRONT INVOF THE UPR OH VLY...CNTRL APPALACHIANS AND THE NRN MID-ATLANTIC EARLY FRI...CONVECTION WITH VERY HVY RAINFALL AMTS WILL REDEVELOP ALONG THE TRAILING COLD FRONT ASSOCD WITH THIS NEXT SFC LOW THAT MOVES ACRS THE MIDWEST...WITH FOCUS BACK DOWN TO THE SOUTHWEST OVER THE LWR OH/MID MS VLY AND TO A LESSER EXTENT DOWN TWD THE SRN PLAINS LATE FRI AND FRI NIGHT. HOWEVER...THE MID/UPR LVL ENERGY WILL BE QUICKLY LIFTING NEWD AND AWAY FROM THIS AREA BY FRI NIGHT/EARLY SAT...AND HENCE THIS COLD FRONT SHOULD SLOW AND LIKELY WILL STALL OUT BY THE END OF THE PD. HENCE WILL BE INCREASINGLY CONCERNED FOR A RISK OF TRAINING AND/OR BACK-BUILDING CONVECTION. GIVEN THE PREV DAYS RAINS...EXCESSIVE AMTS SEEM LIKELY ACRS PORTIONS OF THIS AREA. HPC QPF ATM FAVORS A CONSENSUS SOLN...LED GENERALLY BY THE 00Z ECMWF AND 00Z UKMET. DAY 3... ...WRN U.S... HT FALLS SHOULD BECOME A BIT MORE PRONOUNCED OVER THE GRT BASIN AND THE FOUR CORNERS REGION THIS PD AND THIS SHOULD HELP FOCUS SOMEWHAT HEAVIER OROGRAPHICALLY ENHANCED SHWRS...PARTICULARLY OVER THE CO HIGH COUNTRY. MID LVL LAPSE RATES ARE LIKELY TO BECOME A BIT STEEPER AND WITH DIURNAL HEATING...EXPECT LOCALLY HEAVIER PCPN RATES TO RESULT. A CONSENSUS OF THE 12Z/00Z ECMWF SOLNS WAS FOLLOWED FOR QPF. ...SRN PLAINS...MID MS VLY...OH VLY...NORTHEAST... THE LARGE SCALE PATTERN ACRS THE CNTRL/ERN U.S. WILL FEATURE DEEP LYR W/SWLY FLOW...WITH A FLAT AND BROAD SUBTROPICAL RIDGE OVER THE SOUTHEAST U.S. AND A DEPARTING UPR TROF ACRS THE NORTHEAST WHICH WILL BE IN RESPONSIBLE FOR A PROGRESSIVE BAND OF GENERALLY MDT PCPN BEFORE ENDING. UPR JET FORCING AND MSTR TRANSPORT IS RATHER IMPRESSIVE INTO THIS SYS BUT THE PROGRESSIVE NATURE OF THE HT FALLS AND ASSOCD FRONTAL SYS WILL LIKELY PRECLUDE ANY HVY PCPN. THE COLD FRONT THOUGH...WHILE HAVING CLEARED NEW ENGLAND BY LATE SAT...WILL BE STALLED OUT BACK TO THE SOUTHWEST FROM THE NRN MID-ATL REGION SWWD ALL THE WAY DOWN THE OH RIVER VLY AND DOWN BACK TO THE SRN PLAINS. REMAINING STALLED THROUGH THE PD...IT IS EXPECTED THAT THE BNDRY WILL ACT AS A SIGNIFICANT FOCUS FOR ACTIVE CONVECTION...WITH SIGNIFICANT AMTS OF SUBTROPICAL MSTR POOLING ALONG THE BNDRY IN ASSOC WITH SRLY/SWLY LOW LVL MSTR TRANSPORT OUT OF THE WRN GULF OF MEXICO. IN THE MID LVLS...A SERIES OF VORT IMPULSES EJECTING/SHEARING OUT OF THE BASE OF THE WRN U.S. TROF AXIS WILL INTERACT WITH THE STATIONARY FRONT AND POOLED MSTR/INSTABILITY ALONG IT FOR A RELATIVELY NARROW BUT BKN AXIS OF STG CONVECTION INCLUDING SOME MORE ORGANIZED CONVECTIVE COMPLEXES POSSIBLE. UPR LVL H25 RRQ JET DYNAMICS ARE PROGGED TO OVERLAP THE SFC BNDRY AND ENHANCING MSTR TRANSPORT FIELD...ESP FROM NERN OK BACK ACRS CNTRL/SRN MO AND SRN IL...AND WITH DEEP LYR MEAN FLOW PARALLEL TO THE SFC BNDRY...EXPECT HVY TO EXCESSIVE RAINFALL AMTS INVOF THE FRONT WITH AN EXCELLENT SET-UP FOR TRAINING AND BACK-BUILDING CONVECTION. ALREADY SEEING A WET PRECEDING COUPLE OF DAYS...RAINFALL AMTS THIS PD ALONE ACRS COULD LOCALLY BE ON THE ORDER OF 3 TO 5 INCHES WITH ISOLATED HEAVIER AMTS INVOF OF TRAINING BANDS. SO...FLASH FLOOD CONCERNS SHOULD BE QUITE ELEVATED. WILL CONTINUE TO MONITOR. HPC QPF FAVORED A BLEND OF THE 00Z ECMWF/UKMET AND GEM SOLNS. KORTY/ORRISON GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 22/12Z 0.01 494662 491654 487651 482648 477649 473649 469654 463665 460678 459685 457689 452697 449700 444705 440711 438722 434729 436732 441734 438739 434742 432748 431763 433768 436770 442767 457745 465736 474728 483717 489704 493693 495685 496677 494662 0.01 516200 519179 521170 520162 519156 516150 512142 502125 492106 488094 484082 480068 479056 480044 482037 487035 498031 505025 508020 511014 513008 513001 512994 509989 503985 496978 493964 492960 488956 485953 480951 472944 466936 460929 455917 451908 446897 440886 435878 427871 424868 420861 420853 420847 421838 421825 419815 416801 411790 407787 401788 393795 386802 382805 377808 373809 367808 364806 361803 356795 353791 348790 343790 339788 334779 330777 325776 322780 320783 316798 304812 301819 299829 298846 314854 312866 312876 313881 316884 319886 320890 320909 320915 323918 325923 325930 326937 327944 325954 321965 317973 312979 306985 301989 293993 285000 283007 284012 286014 294016 300018 306019 311018 319014 327010 330008 336006 345003 350002 355999 361998 370003 378007 387009 389013 389020 389029 391036 394039 399041 401043 401046 395054 390055 387058 384060 381065 378065 375069 374074 375079 378089 378098 389102 389106 386111 381117 379122 379129 379137 380144 385153 388157 388160 385164 383168 384173 386177 388183 385186 381186 376185 370184 365186 362186 360188 361191 366198 366201 362202 357204 352201 349193 345185 345191 348203 349207 352211 357219 361221 366222 364214 365211 369210 371209 374207 376207 384212 388216 394218 399218 404217 410214 415198 419197 425197 431191 435185 436185 438195 445193 450196 453201 454203 453205 451209 434217 427220 424222 426225 433232 436234 438240 439243 444245 446248 449248 453247 458246 462246 471248 480248 482244 481239 480233 479229 479225 482225 488228 491232 494236 498236 500233 502228 504225 508221 512216 516204 516200 0.01 471197 472193 472189 472184 471183 469183 467185 466187 465191 464195 464200 466202 468201 469200 471197 0.01 433088 434080 432076 430072 424069 421072 418079 415083 414087 414095 415102 418103 421101 424099 424095 422088 424084 427084 432088 433088 0.25 509161 509153 508150 502143 496137 492130 484114 477094 473086 468081 459066 456063 452061 446064 442068 443073 447080 448087 446091 440093 434097 431101 430108 425113 425124 440122 442127 446129 452130 463131 466132 467137 467141 463141 458142 453147 448155 453159 460159 467163 476167 481172 488177 493178 497176 504168 509161 0.25 470219 470216 467216 465217 463219 460220 463222 466222 469219 470219 0.25 477994 476985 474981 467978 458976 455981 453993 447990 438984 435980 433976 431972 428965 425954 422950 418949 414951 408951 405950 402945 401939 402934 403922 406912 405907 404902 399892 395884 393879 393875 397856 400844 401839 400835 399832 395829 391829 381832 373834 363835 358830 352818 347810 344807 340805 332804 330805 328810 328816 330821 334829 339839 341842 345844 348845 354844 359845 362850 363861 362872 358880 353886 351888 348889 345886 339877 337876 336881 334889 333895 332899 334905 334912 332920 331930 341942 338952 335961 331971 329981 327990 330994 333996 343995 352991 367979 384973 389970 395968 402970 406974 410978 411986 409992 406001 405011 406016 409019 417018 427015 432014 437014 441015 444018 452023 457017 463006 472000 477994 0.25 419119 419115 417114 414113 412113 409111 406111 403114 405117 406118 408119 411120 414120 417119 419119 0.25 416072 415064 413060 410060 405059 403061 398068 397069 392069 389071 387076 385083 387087 391085 395086 401083 407078 412076 416072 0.25 394206 392203 389202 389201 386199 384198 381200 383202 386204 386205 388207 391208 394206 0.25 345930 344927 341929 340932 340935 343938 344934 345933 345930 0.50 476116 476107 475102 470092 463085 456076 454085 453093 452097 450099 447100 441100 438102 435105 434112 438114 442117 445121 449122 452120 458114 461112 464113 467115 472117 476116 0.50 428001 428997 427996 426993 424991 421991 418993 417994 416996 414999 413000 412003 412007 414009 416008 419006 421006 422005 425004 428001 428001 0.50 394849 394843 392838 385837 377840 371844 369849 369852 369861 368870 365878 352905 348940 345957 339971 336978 334985 335988 337990 346990 352987 357982 362976 367972 375967 381963 387958 392953 393933 396924 397915 396909 390904 388901 386895 386886 389868 393851 394849 0.50 406072 405068 404068 403068 401070 399072 398073 396076 398078 401078 403076 404074 406072 0.50 337925 337922 334920 334923 334926 336928 337925 1.00 384861 383856 381854 379856 376864 374870 364894 361901 360907 360917 359924 357938 357942 356946 353953 352959 349964 342976 341982 343984 346983 351981 356975 360970 363965 366959 371953 378952 382950 383946 386939 388926 388920 385918 380916 377915 376913 376907 379893 381877 384861 384861 1.00 373924 374920 373917 371916 369917 369919 368921 368925 370928 373927 373924 1.50 376886 375883 374882 373883 371886 371888 371891 373891 375889 376886 24HR QP VT 23/12Z 0.01 516798 515789 512780 506769 496755 489745 481742 473740 469739 465735 457724 454719 448714 443711 438710 428711 417709 408707 397709 392710 388713 382718 378723 376729 370736 365740 361745 357751 356758 351769 349772 347774 344773 338765 330765 326767 325772 323777 322783 325800 327803 331808 335811 338818 340829 342832 345835 349833 354832 357834 360837 360847 362854 363861 362865 358876 358891 354904 349921 346930 341940 335947 325955 322958 319962 314970 304977 293983 289987 285991 281995 274997 265999 256003 256010 261011 271014 278019 280022 283022 293020 302016 311009 319002 331996 338989 341986 348985 358979 363974 367969 371958 373953 377951 382951 387953 405969 411974 419977 422979 426982 430986 433990 434997 434003 433009 433028 427041 425044 425049 424054 422056 421059 418056 418053 418042 416036 414034 410029 406023 400026 394027 391023 391020 388017 386019 385021 386026 386037 384043 380047 380054 385057 384060 382066 379069 375071 374077 375083 378085 381085 383087 386087 386083 389085 390088 389094 386098 383101 382110 380113 377115 373118 368125 359132 356136 355141 358145 361146 369140 374139 377140 379143 381148 380153 376166 374171 373175 374179 377184 377188 376194 377200 387207 390206 391202 388198 384193 382189 382182 383178 386177 391174 396169 400149 400140 397135 393131 393124 396120 397112 397103 399099 403095 406087 413079 417075 417069 418066 421066 422069 424071 430071 431078 434083 437084 440083 444082 448084 448089 446092 441089 437089 434092 434098 433103 433109 434113 437116 440118 442121 442126 445132 444136 440141 435143 435150 435156 437161 443165 446168 448174 450176 452177 454173 457168 459168 464172 467174 470174 476172 481173 485175 493174 499165 507159 509156 510150 510139 508134 504128 497119 494113 494100 494089 491080 488071 485064 483055 483044 485028 489013 492001 495992 497984 501967 503955 503949 504941 506935 510932 519924 523919 526918 528915 528911 526900 527893 525890 518889 515891 511894 507898 503904 502898 504891 507876 510862 514847 518836 519830 519825 517806 516798 0.25 481819 477800 475789 470779 458759 448753 443750 437742 433739 429739 425738 419734 411730 406730 399731 393731 388733 381742 377747 375755 374761 373769 370780 365792 357799 354804 352810 355817 358819 365822 367824 369828 369837 369853 368867 364879 363889 360902 356914 354923 353929 350936 344948 332964 325972 319976 314979 306984 304988 303992 309992 317990 323988 327984 334976 338974 341974 347974 354973 358970 362965 365959 373941 377935 380932 383930 386931 391936 396937 402936 407931 411926 415916 429910 437904 440906 441910 441918 443941 442948 442960 444978 447998 448008 447019 445027 443033 441041 444048 445053 445061 444068 444072 446074 450077 457083 462087 465093 467102 468107 471112 475111 477109 478104 478099 478090 478081 476067 473051 473034 474022 476012 477002 479994 481980 483962 484952 484944 483930 483912 484891 479851 479839 480833 481823 481819 0.50 475880 472867 470858 467848 461838 456831 452827 448823 442811 438805 439800 441793 439783 436776 434773 425765 423754 421748 418744 414740 409740 397743 387749 382757 379768 378782 378802 375815 374821 373829 373840 372850 371858 370862 368874 364893 357918 355928 351939 343958 342961 343966 346969 351969 356967 360963 365954 374933 378924 382921 387920 393922 397920 398916 400909 403903 408891 410886 413882 417878 419873 422870 423862 423855 421847 421841 422836 423832 426827 431825 435824 443831 447835 450843 453853 454862 454892 456899 457907 457914 456919 454925 453933 453940 452948 450961 451971 452981 454993 455003 455013 452026 450035 449042 449050 450060 453067 459075 463076 466075 469072 470068 470059 469051 468040 468030 470018 472005 474989 474966 474937 475920 474907 475892 475880 1.00 462055 462051 462047 459048 458051 457055 458060 459063 462060 462059 462055 1.00 424791 420781 415773 411768 407771 404773 399772 396770 393771 391775 389783 385795 383803 380823 378834 377845 373865 368885 358925 353944 350952 349956 350960 352962 355963 362955 365948 372928 379911 382902 386898 388893 395875 399866 403854 408836 413827 416822 418815 422804 424796 424791 1.50 413805 413799 411793 408789 405789 398786 392791 388798 387806 386816 384825 377857 373872 369890 368899 366905 360922 357936 352954 353958 358957 362952 365944 367936 372922 378905 384891 390876 393868 395860 397852 399844 404829 412814 413809 413805 2.00 406801 402798 399798 396799 393800 390804 387825 386833 385837 383846 376867 374875 373879 373887 371897 371901 372904 375903 379895 383884 390866 394845 399826 403817 404812 405805 406801 2.00 368929 369921 366919 363920 361926 360931 359934 357940 356946 355949 354953 357955 360952 362948 364944 366938 367933 368929 24HR QP VT 24/12Z 0.01 490645 489641 487639 483635 473629 469625 464623 455621 448620 442622 431626 426628 421632 414641 408651 403661 399671 397683 394694 393706 390718 384730 381740 380745 380750 381755 388770 389780 388785 382796 380802 379808 377833 375844 371854 367866 362878 358888 354898 352908 350915 347927 345931 343938 340949 334957 327968 324972 321974 314980 310981 307984 304988 291003 287010 287017 290022 293023 296022 305016 308013 312013 318011 325010 331010 337009 348006 355005 358005 361002 366999 373999 380999 383000 391006 393013 394019 392025 391027 388030 371042 361047 358051 356054 355058 355065 358071 362079 364085 366090 369094 369098 365100 361104 360112 358118 357126 359132 365135 370140 370145 368150 368157 368161 358165 357169 357172 358175 361177 363182 363186 366191 369194 377202 381205 386205 388203 387199 384194 375185 374181 376178 381169 385164 386159 388156 391155 396153 398151 398148 396142 392139 387136 387131 392125 398117 399113 397110 395104 397095 400090 407087 410083 415080 421070 424070 426068 430068 433067 435063 435059 437053 439048 444047 447050 452055 456056 462060 465064 468072 467074 468081 471087 474093 479097 483098 486096 490091 493087 497084 507077 511071 514063 515057 514046 514040 512035 510032 502022 498018 492015 483011 468014 462016 456015 449014 439011 427008 419006 416003 410991 408986 407981 408978 412967 412960 410954 405942 403938 402929 400912 402889 405876 408863 412853 415841 418831 420817 422809 422803 423797 424793 427791 434788 441789 445790 450794 453798 455802 462816 462822 461829 460836 458839 455844 456854 461872 460881 458888 459894 460899 464907 473908 478906 480900 485886 492874 495869 496862 496828 496807 496793 500761 502746 503733 500724 498719 498714 500703 501696 501688 497672 490645 0.01 502280 502275 502271 500262 495249 486236 481230 477229 474229 472225 471216 470213 466212 461212 455214 452214 447215 437218 433216 428219 418226 415224 413220 409217 403228 397233 393239 392244 393248 395254 403256 411260 418263 425263 450262 455266 461272 470283 476287 483291 488293 492294 496292 502280 0.01 482927 481920 477916 472918 466921 462924 459929 456934 454938 445943 440950 438955 439959 441967 444970 448970 452968 456964 462957 467954 470951 477941 480937 482931 482927 0.01 474111 475107 473104 470103 469102 467101 466102 466106 467109 468111 470111 473111 474111 0.01 453113 452109 450105 453102 453097 449093 447089 441087 433086 428085 424088 427096 432101 435104 438108 444111 449115 453113 0.01 393960 393956 391955 388954 386954 385954 383955 383958 383959 384962 386964 389965 390965 392964 393960 0.25 487663 484657 481652 477647 471642 463637 458635 454636 447640 442644 439646 434648 423652 418655 414660 410666 408671 403681 401688 400695 399705 398718 395729 394734 394740 394750 398766 397777 394787 388798 383844 379854 375864 366886 363896 361907 359916 358928 349947 345955 337964 331972 325979 309990 304997 303999 304003 308005 318002 330000 340997 346994 350992 355988 357985 362977 367969 374960 381940 386929 389919 394897 399875 406852 409828 412814 414805 417793 418782 420769 424764 430760 439758 445757 449758 453760 458763 464773 470785 473794 475795 477793 479788 480781 480767 484739 484725 486714 488708 489700 491687 491680 489671 487663 0.25 412064 412054 410045 410040 410035 410031 409029 403030 400036 397041 392045 388047 385049 385054 387057 383061 381065 379067 375068 374078 375084 382086 386086 388083 387079 389082 393082 397081 401079 403075 404072 408068 412064 0.50 482668 480664 475659 468653 464650 459649 450654 442658 432661 427664 424669 420677 407696 405700 405705 404717 403728 401738 401742 403750 405757 405762 404773 404778 401783 394792 390801 389822 386845 383854 379863 377872 374883 369903 367911 363920 360931 355939 347957 335970 330977 325982 317987 313990 310994 307997 309999 314999 320998 332995 339992 347988 354982 356979 358973 364966 370958 374950 378941 381933 385924 388913 398871 403852 404829 410807 412797 414786 415762 417757 419754 424749 429747 438746 448743 456743 465746 468745 471743 472737 474726 475713 475703 479698 480693 482683 483679 483672 482668 0.50 408057 404053 401053 395052 393057 392061 389066 388072 392076 393076 395073 397076 399076 401072 398069 396068 398066 401064 407061 408057 0.50 382075 381075 378074 377075 377079 378081 381079 381078 382075 1.00 409791 408787 407786 404788 402790 400793 400798 403800 406795 408792 409791 1.00 327988 326988 323988 321988 318989 317990 315992 314993 315995 318994 321993 324993 325992 326991 327988 1.00 399824 398820 396822 394831 393838 392841 390848 387857 383866 379882 368917 362933 358940 355946 351955 347962 339973 336977 334981 334984 338985 344982 349981 352978 356971 361963 365958 370951 383919 385910 387901 392885 393874 395864 397844 399833 400827 399824 1.50 389882 390866 387865 383880 376897 373909 370917 363936 358945 355953 350962 348969 352971 363958 369950 373942 376931 380922 383913 384902 389882 2.00 382907 383899 382895 379894 376905 373913 369922 365932 361941 359949 357955 357957 360958 363956 365953 370945 374935 377927 380918 382907 3.00 370937 371931 369930 366934 365938 363944 365947 368941 370937 $$