QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 544 AM EDT MON APR 25 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 25/1200 UTC THRU APR 28/1200 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... UPDATED...LATEST MODEL RUNS INCLDG THE ECMWF WERE NOT MUCH HLEP IN PINNING DOWN THE DAY1 QPF WITH SERIOUS ISSUES NOTED EVEN EARLY IN THEIR INDIVIDUAL FCST CYCLES. AS A RESULT..MOST CHANGES FM THE PRELIM TO THE FINAL DAY1 QPF WERE BASED ON CURRENT OBSERVATIONAL DATA..PARTICULARLY OVR THE SRN PLAINS AND MID MS RIV VLY. ...CNTRL AND ERN U.S... SHRTWV ENERGY DIGGING INTO THE BACKSIDE OF THE SHRTWV NOW ADVANCING FM THE SWRN U.S WILL SERVE TO RAPIDLY AMPLIFY THIS SYSTEM RESULTING IN INTENSE CYCLOGENESIS OVR THE CNTRL U.S. THRU THE PD. MODEL QPF GUIDANCE AGAIN ADVERTISING A MAJOR RNFL EVENT BUT THERE ARE LOTS OF DIFFERENCES WITH PLACEMENT/TIMING DETAILS THAT PLACES A LOT OF IFFINESS INTO THE FCST AS COMPARED TO THE PAST TWO DAYS. MUCH OF THESE DIFFERENCES ARE LIKELY RELATED TO EXPECTED SYNOPTIC/MESOSCALE INTERACTION WHICH IS DIFFICULT TO ASSESS. THAT BEING SAID..EXPECT CONTG ISENTROPIC LIFT ALONG THE E/W ORIENTED BAROCLINIC ZONE AHEAD OF THE SFC LO AIDED FVBL RT ENTRANCE REGION JET DYNAMICS..WITH A CONTG STG NWD MSTR FLUX INTO THE FEATURE AVBL TO SUPPORT HVY SHWRS. MEANWHILE..THE COMBO OF THE STG HGT FALLS..THE ASOCTD CYCLOGENESIS AS WELL AS THE EWD PUSH OF THE ASOCTD CDFNT WILL SET THE STAGE FOR ADNL WIDESPREAD SGFNT RAINS. BELIEVE THE BEST COMBO OF ALL THE ABOVE MECHANISMS WOULD ARGUE FOR THE MID MS VLY AREA BEING THE FOCUS FOR THE HEAVIEST ACTVTY. FOR THE MANUAL QPF..LEANED SOMEWHAT HEAVILY TWDS THE GEM REGIONAL..BLENDED SOMEWHAT WITH AN ENSEMBLE OF QPF GUIDANCE..GIVEN THAT THE GEMS QPF SEEMED THE BEST FIT TO THE EXPECTED AVBL FORCING PER ITS OWN AND THE GFS MASS FIELD DETAILS. ...WRN U.S... SHRTWVS MOVG INTO THE PAC NW EXPECTED GNLY TO BE SHEARED SEWD WITH TIME ALLOWING FOR WIDESPREAD PCPN FM THE PAC NW THRU THE NRN GREAT BASIN AND INTO THE NRN AND CNTRL ROCKIES THRU THE PD. THE GFS HAS SHOWN RELATIVE GOOD CONTINUITY OVR THE PAST SEVERAL RUNS HANDLING THIS SYNOPTIC SCENARIO AND HAVE RELIED ON ITS MASS FIELD DETAILS FOR THE MANUAL QPF. THE MOST WIDESPREAD PCPN IS EXPECTED OVR THE PAC NW WHERE A CONTG LLVL ONSHORE MSTR FETCH WILL BE AVBL TO SUPPORT SHWR DVLPMNT. ELSEWHERE..EXPECT THE BEST ACTVTY TO BE CONCENTRATED OVR TERRAIN FAVORED BY NWLY OROGRAPHICS. DAYS 2 AND 3... ...PAC NORTHWEST TO FRONT RANGE OF ROCKIES... A WEAK MID-LEVEL LOW WILL DEPART THE PAC NW ON TUES AND BE REPLACED TEMPORARILY BY SHORT WAVE RIDGING... WHICH SHOULD CURTAIL THE MODEST ONSHORE FLOW AND INSTABILITY/OROGRAPHIC PRECIP FROM THE NW TO THE NRN ROCKIES. THEN ON WED... A LARGE CLOSED LOW FEATURE AND DYNAMIC UPPER JET WILL ARRIVE INTO THE NW. THIS SHOULD ONCE AGAIN KICK-START THE ONSHORE COMPONENT AND PAC MOISTURE TRANSPORT INTO THE NW AND NRN ROCKIES. QPF AMOUNTS ON WED SHOULD GENERALLY BE A BIT HIGHER DUE TO THE MORE SOLID MOISTURE FLUX ANOMALIES. ...SRN PLAINS/LWR MS VLY INTO OH/TN VLYS/SOUTH AND GREAT LAKES/UPR MS VLY/ NORTHEAST... THE PROLONGED AND LIKELY HISTORIC HEAVY CONVECTIVE RAIN EVENT WILL LINGER AND SLOWLY SPREAD EASTWARD INTO THE EARLY PART OF THE WORK WEEK FROM THE ARKLATEX TO THE OH/TN VLYS AND SOUTH. THE RESULTANT WILL BE DEEP AND VERY ANOMALOUS MOISTURE FLUX... 4 TO 5 TIMES ABOVE AVG... BEING DRAWN NORTH FROM THE GULF OF MEXICO AND POOLING ALONG THE END OF A QUASI-STATIONARY BOUNDARY NEAR AR AND INTERACTING WITH AN EXPLOSIVE JET STREAK ARRIVING FROM THE INTER-MOUNTAIN WEST. AS MUCH AS 3 TO 6 INCHES OF RAIN WILL BE POSSIBLE OVER THE 48 HR FCST PERIOD FROM TUES TO THURS MORNING... ESPECIALLY FROM CENTRAL/SRN AR ENEWRD INTO TN/KY AND NRN MS AND AL. THE MODEL GUIDANCE STILL SHOWS ENOUGH SPREAD AND UNCERTAINTY ON THE EXACT HEAVY RAINFALL AXIS BOTH DAYS... THAT NO ONE OPERATIONAL MODEL NOR ENSEMBLE APPEARS THE EXACT/CORRECT SOLUTION. HPC GENERALLY FOLLOWED A MAJOR COMPROMISE ON TUES/D2 OF THE OPERATIONAL ECMWF AND GFS OR BASICALLY THE INTERNAL PSEUDO BIAS CORRECTED GUIDANCE... WHICH COULD END UP YIELDING A HIGH BIAS. THEN ON WED/D3... HPC YIELDED MORE CLOSELY TOWARD THE LAST TWO ECMWF RUNS OVER THE GFS AND SREF GUIDANCE DUE TO SLIGHTLY BETTER MODEL CONTINUITY. SO FOR TUES... THE TAIL END OF THE FRONTAL ZONE WILL STALL FROM THE WRN TN VLY BACK TOWARD THE ARKLATEX AND THE ARRIVAL OF THE DYNAMIC PAC JET STREAK EJECTING FROM THE WEST AND ARRIVING SHOULD SET UP A RATHER EXPLOSIVE SITUATION... WHERE ALL OPERATIONAL AND ENSEMBLE GUIDANCE SUGGESTS AN INTENSE AND POSSIBLE TRAINING/BACK-BUILDING SETUP FROM AR/SERN OK/NERN TX TO WRN TN/KY OR LOCALLY 3 TO 6 INCHES IN THIS AXIS. MEANWHILE FARTHER NORTH ON TUES... SHORT WAVE TROUGH/CLOSED LOW WILL STALL ACROSS THE UPR MS VLY/WRN GRT LAKES REGION AND MDT RAINFALL IS EXPECTED FROM THE UPPER/OCCLUDED LOW FROM MN/WI AND ALONG THE OCCLUDED/WARM FRONT FROM MI TO NRN NEW ENGLAND. THEN ON WED/D3... THE ENTIRE UPPER TROUGH AXIS FINALLY BEGINS TO ADVANCE DOWNSTREAM... AS TWO SURFACE WAVES RIDE UP ALONG THE ACTIVE COLD FRONT. THE FIRST WAVE WILL SLIDE FROM THE WRN OH VLY NORTH THROUGH THE GRT LAKES REGION AND THE SECOND LOW WILL FORM OVER THE WRN TN VLY AND LIFT NEWRD TOWARD THE ERN GRT LAKES. THE RESULTANT SHOULD BE AN ACTUAL COLD FRONT SLIDING EASTWARD AND LENGTHY/EXTENDED PRECIP SHIELD FROM THE GULF COAST TO THE GRT LAKES BUT AT LEAST ADVANCING DOWNSTREAM. KORTY/MUSHER GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 26/12Z 0.01 534210 535186 534179 533175 531170 528164 523158 519153 512148 504144 495137 491132 488129 483125 481119 486113 488111 490104 490098 488095 485092 481090 466085 458076 453072 447069 443068 439069 447085 440085 433086 426084 421088 419087 419082 421073 430060 434053 437052 442052 449052 453051 457047 457036 459030 458026 455024 447025 442028 429023 426020 426015 424012 424007 424000 426996 435987 441976 447961 451948 455935 456926 456914 456907 459899 463888 466876 467869 466863 464858 459856 452854 447850 446841 447835 449828 450821 452803 456773 460743 464727 465721 465712 465694 464687 460677 456671 452671 447676 445681 439685 435691 432695 430689 428684 424680 418678 415679 411681 409681 406677 404675 403677 399685 395698 392708 387721 384732 380745 380751 381757 384764 389769 391773 389780 386786 381792 363804 353810 351812 349815 346820 342825 340832 334840 332854 332860 336863 340862 346859 352854 356851 358847 364838 370828 382808 386802 391801 393802 393805 392811 386833 382844 376852 369859 358867 351869 345873 336881 326891 323895 317901 313904 308904 302905 298908 293912 289917 286920 284925 283928 283932 283937 285939 289939 290944 289949 292953 297955 296961 294971 292977 292982 291986 292991 296992 300991 313986 323979 332974 336974 343975 351978 358978 362977 365979 368983 375985 380988 382995 383013 383021 377025 366031 359032 354032 350034 346038 346042 349046 352050 355055 356063 356069 358073 365083 369090 371097 373104 376107 380108 382109 380111 377116 374123 373127 384142 383148 386153 390158 389163 388165 387172 390178 395181 403185 404189 404193 402196 397197 391195 385189 382186 379186 372187 368188 368193 375202 384214 390217 388217 381216 377214 373215 369216 366223 370230 373236 382247 385250 392253 403260 431267 452271 457270 462271 470271 474272 480273 487276 494281 498285 504286 508284 518273 520265 520257 518247 516237 512228 508221 506217 507212 509207 512207 516208 520210 524214 528215 531214 534210 0.01 321777 318773 314773 307776 300777 281772 272773 259778 253781 248784 244788 241793 240797 240803 242810 246817 250819 255819 259819 263823 268825 272826 284827 288827 289823 281817 284809 290809 296810 301810 306807 316799 319794 321789 322783 321777 0.01 353187 351183 348184 347186 345189 345192 347196 349193 350190 353187 0.25 501266 499260 498251 497246 499241 500237 500233 498225 494208 493202 488197 484194 480195 474197 470202 466205 459205 452204 449201 450196 452193 457189 462188 467185 477176 485182 491181 495179 499173 499168 498166 490157 485152 480147 473141 467137 462134 457135 451137 447140 442142 439145 437148 436153 438159 443165 445171 446179 445188 446192 443189 442194 445200 447200 449205 445209 441211 429211 425214 423222 424228 423230 419229 415227 411222 409218 407218 409222 408225 405232 404236 406242 410246 417249 423251 431253 440253 453254 466257 476259 487262 496268 501266 0.25 453697 450697 446701 441710 438718 436723 434727 430732 428736 422745 417752 412764 406782 405789 404800 401810 398820 391839 381854 370866 362871 354876 346881 340887 333894 328901 319913 316916 314920 314925 315932 314942 310950 309958 309964 310968 316970 322967 329964 337960 346959 355960 363963 366968 367972 371975 374973 378970 382967 387966 391968 393971 393981 392994 393005 396010 399011 401010 403007 404001 403995 404991 406988 412984 421979 428973 433967 436957 437944 437931 436920 437914 438910 443897 445886 445882 443879 435877 432875 431870 435852 440829 443807 447786 449767 453743 454732 455720 456708 453697 0.25 458114 458110 452106 450103 445101 441099 436100 432104 430108 430116 432119 435119 438120 442125 446127 450126 453122 457118 458114 0.25 415114 414114 412112 409111 406112 404114 405117 406118 408119 411118 412118 414115 415114 0.25 413072 410064 405061 401061 392064 387066 384069 381069 377069 374072 373077 373083 378089 383092 392091 398087 401082 407077 412072 413072 0.25 402212 400210 397207 396211 399214 402212 0.50 452712 451707 447708 444717 439731 436739 432748 425765 421781 416794 409809 400823 394838 387849 383857 377863 366872 352881 347884 342889 331901 324912 321919 322930 318943 316950 315953 315960 317963 320964 327961 341954 348952 354953 360956 365957 367961 370967 373968 375967 379959 384953 395945 406934 414929 419925 429912 436899 439893 437889 433888 427885 424881 425873 432842 436824 438805 441796 441787 443772 447752 450735 452721 452712 0.50 480248 481243 480240 476232 475226 477223 484221 486217 485211 484209 480207 474207 467209 459209 452212 440215 434217 430219 428223 431232 430237 428240 430242 433245 441246 449247 456247 473250 478250 480248 0.50 421959 421955 420951 417954 415955 414956 412960 412964 413968 413969 416968 417967 419965 420963 421959 421959 0.50 401076 403072 401070 395069 389070 387073 381075 378079 381084 384083 384079 387078 389081 395080 398079 401076 1.00 470240 470236 467233 463230 462228 464225 466223 469218 465215 461214 455216 449217 442219 441223 444226 453226 457227 458231 457233 455235 460239 469241 470240 1.00 433786 431786 429788 426794 421802 416814 411824 402832 397840 392851 385861 378868 370874 361881 352889 345896 338903 332911 329916 331923 330929 328934 323942 321946 321950 323951 327953 330954 333952 343947 348945 354944 358949 363951 367952 371956 377954 380949 387943 396935 400932 405927 412920 415916 417910 417908 414905 413905 402911 396912 395909 396906 400898 411875 416865 421857 423851 425845 428831 429820 430809 432796 433786 1.50 463221 460219 457219 455219 457221 460222 463221 1.50 453222 451220 448220 447220 448222 451223 453222 1.50 422829 421824 417825 414832 411839 408842 404844 398848 394853 385866 374875 368881 363886 352893 343905 339911 339917 337925 334933 331939 332945 340943 346941 354936 358936 360938 361942 364946 370948 374948 378945 381940 387935 386930 386924 386916 387909 395895 409867 416857 420849 422842 422829 2.00 413854 413849 410850 406853 395861 387870 379878 372887 363897 355904 349908 345913 341923 339933 343938 345937 350932 356928 362930 364936 365940 368943 374942 378919 383907 389897 396887 399882 402875 407864 413854 3.00 385895 385894 382893 379896 378897 377898 374900 372902 372903 369904 367907 366907 366911 368913 369914 371915 373913 376909 376908 378906 379904 380902 382899 383898 385895 385895 24HR QP VT 27/12Z 0.01 520269 519257 516246 508227 505221 500214 499212 498208 500206 509210 528215 534210 534205 533199 532189 527180 523174 517168 500146 495141 490135 486130 480127 474128 469132 466131 462129 458127 460121 463118 471118 476116 479111 483108 484101 483094 486090 493085 497077 501071 504062 505059 505055 502050 499045 495041 492041 484040 478039 476038 470033 463030 455027 441024 435024 429021 421014 416011 412007 404996 397987 389979 385974 381966 376953 373944 375939 377937 383932 387924 394913 399906 404900 407902 408907 408915 409934 408956 408968 410979 413984 417990 422000 425006 428009 430009 440016 447017 454017 462016 468017 480021 485024 488024 490020 493012 492007 489004 485996 482991 480988 470979 466974 466966 474948 477939 480931 487914 490906 492898 494891 496883 500870 502863 502851 502842 502831 501814 500804 501795 503778 504761 505749 505737 503729 503724 502716 501711 501702 499693 498686 496680 495671 492660 491655 488645 483633 472620 465620 461617 458614 455612 453608 450606 446611 444616 439628 433643 429658 426671 425688 425697 426702 428706 430712 428715 421724 410737 396762 387774 384778 379780 376779 374777 373775 371766 365762 363760 362754 360749 359745 357742 355741 343742 337743 328745 317750 305755 294756 290758 284758 275758 270758 266761 260766 249777 244783 244786 249791 250795 250799 246804 247810 258818 263820 269821 281822 288819 295816 298812 303809 310807 314808 319809 321810 323815 324823 328827 330830 330834 328840 322851 320857 319862 319872 320882 321893 320901 319909 317916 313928 308937 303951 302959 297966 289975 286985 290988 295990 304988 310986 315983 327978 333978 337984 342997 345010 349018 354023 358032 362039 366046 368053 369057 366059 361064 360066 360072 366077 369085 373090 383099 388097 397097 404095 409091 412089 415091 418095 418100 414099 410097 406099 402103 393109 389111 385116 384118 383123 388127 399128 408129 413134 411155 417165 424180 429185 432188 434192 437200 439204 444204 448206 449209 440208 434211 428215 424220 423225 421231 419237 421241 426247 431250 440254 448255 461256 465256 471257 477261 481265 485271 489275 495282 500285 507290 512290 0.01 481200 481195 476189 475189 470190 467192 463193 461195 458198 454201 456206 459205 465204 468204 474203 477203 481200 0.01 442137 443133 443131 442129 440127 438128 437131 436132 434136 432140 432144 430147 432151 434148 436147 437144 439142 440141 442138 442137 0.01 434168 432164 432160 432158 429155 431152 430148 429151 429155 429156 429159 429163 431166 433168 434168 434168 0.25 489687 485675 481662 480655 478651 473646 467642 461639 455638 452641 449645 446650 444657 442672 442701 439717 437724 434730 431737 428746 424753 419756 416755 413756 410759 405771 393792 387794 380791 374792 368795 361798 357803 349815 345824 345830 349834 353832 358827 364818 368811 374807 380808 384810 390812 392814 391818 387822 379827 369836 359842 349848 345851 341856 335869 332881 327910 320933 311951 315958 317960 321962 327961 332964 338967 344969 347972 351973 356972 358962 358953 359946 364936 370926 377913 382902 387895 391891 400882 408871 414860 417856 422851 427852 431855 434857 436862 438868 438874 436888 432905 428921 426933 426940 426950 428959 431967 435970 439971 442969 448965 454959 459953 462947 468934 474917 478905 482891 486879 490864 492854 494843 494834 493824 490812 490804 490782 491769 492754 494738 494729 494719 492700 489687 0.25 515277 516267 514257 510246 507240 503232 498225 494223 491225 492229 493235 494244 496249 496254 494258 494261 495265 497269 500273 505279 509281 512280 515277 0.25 507183 509179 508174 507173 505169 504168 502164 500163 499168 499172 501176 501177 503181 506183 507183 0.25 481173 481171 480168 478165 478164 477159 476157 474154 473153 470154 467154 464157 461159 460160 461161 464164 465166 466167 469169 472170 475171 476172 477173 480174 481173 0.25 465226 467222 466220 463218 461217 458217 455217 452218 448221 451224 453226 453227 456229 457228 459228 462228 465226 465226 0.25 455240 455236 452237 449238 451239 454240 455240 0.25 457060 458055 456052 453050 448041 443036 440035 436036 432037 427037 419034 412030 406026 400020 394015 389010 385002 381994 377984 375981 371979 365978 359977 358983 359990 359002 360007 362011 365019 371027 374035 378039 383043 386043 394041 399039 404039 409045 412049 410056 405063 400062 395064 389067 382072 380075 381079 385081 388079 395076 403073 406070 411071 414072 418072 424072 433068 440069 445069 447067 453063 457060 0.25 300774 298773 295773 292773 290774 288776 287777 286778 284781 282785 283787 283789 284791 287791 290791 293790 295788 297786 299785 299784 300780 299777 300776 300774 0.50 477678 473665 468656 463651 458649 453652 449657 448664 447673 448690 447706 444719 440732 437741 435747 434755 434764 436778 437793 431808 429817 429824 436848 441856 442860 443866 443874 443884 442892 442897 440899 438903 435911 432946 435954 440958 444958 447957 453951 457945 460938 464931 469919 474907 477889 478880 479874 478868 479853 480846 484847 487844 488839 487834 486829 483828 481826 480816 480809 482794 485776 486757 485725 479696 477678 0.50 513271 513268 512265 511260 509255 509254 508254 508258 509260 509264 510268 510270 512272 513271 0.50 414841 414837 413833 410831 403826 399825 395826 388828 380832 371839 357848 350853 347856 345860 339873 333891 330906 327927 325935 323939 318946 315950 316954 323957 331957 345962 350962 352960 354953 357942 361935 367922 376905 384892 389885 395878 401872 404865 407858 411851 414841 0.50 434056 435052 434048 432047 430045 427045 424046 421049 421050 420053 420056 421058 423060 424061 427062 430061 431060 433058 434056 0.50 390028 388024 385022 382017 379007 377000 374993 371990 369989 366994 366004 368011 372018 377022 383026 385029 389029 390028 1.00 469694 467685 464682 461683 459686 458692 457698 456704 456709 455714 456719 457722 462722 466715 468710 468704 469699 469694 1.00 478769 475761 472764 469768 465768 460766 457768 453774 449786 444798 442806 441812 441821 442829 447834 451837 455836 458832 461827 465820 467813 470800 475785 477779 477770 478769 1.00 455737 453734 450734 448737 447738 446741 444744 444745 443750 443754 444755 447755 450754 453752 455750 456746 456741 455737 1.00 463863 463859 461855 461854 458855 455856 454858 453860 451863 451865 450868 452872 455873 458871 461869 461868 463864 463863 1.00 465893 465888 464884 463884 463885 461889 461890 459893 457895 456896 454900 454901 452905 452906 450910 452914 454916 456915 459913 461911 462911 464906 464905 464902 464897 465893 465893 1.00 401843 398836 390835 379840 373842 366847 362851 356854 351859 347866 342875 337889 334902 331917 330930 327945 328949 330952 334954 342954 346953 348951 352945 354940 359927 365915 372904 378893 385881 392872 397864 398859 402846 401843 1.50 465790 463787 458789 455793 452798 449803 447809 447813 449821 454822 456818 458812 462806 463801 464795 465790 1.50 395857 395851 394847 389843 383843 377845 370849 364853 355860 351865 348870 344879 338891 336902 333915 333930 331942 333950 336950 344949 348946 353936 362916 374894 380882 386872 393863 395857 2.00 391858 391854 390850 386848 380848 375849 369852 364856 358862 352869 347877 342886 339894 336912 335924 335936 336943 339947 344946 347944 355927 364908 372891 381874 391858 3.00 376871 375865 372862 367863 360866 356871 350877 347882 342896 340911 338919 337925 338936 340942 344941 346938 348933 354920 361906 366893 371880 376871 4.00 364886 364882 363879 360875 355878 353882 349890 346899 344907 341917 340928 342935 347927 349920 351917 355908 359899 362890 364886 5.00 353904 354900 351899 349901 348902 347906 346907 346909 347913 349912 350911 352908 352906 353904 24HR QP VT 28/12Z 0.01 491639 488631 486627 479621 473615 469613 467614 462618 457620 452623 448629 442638 438646 433666 429676 425686 423693 418698 415700 413703 411707 407718 404731 401738 393746 381757 379761 374762 367761 363759 356761 350763 340779 337784 333789 329792 325797 323801 323806 320814 315822 312824 309825 301824 296824 294827 285838 283840 283844 283847 283853 284858 285867 284877 283885 282895 285901 288902 291900 293902 295907 296912 294920 295922 294929 292934 293938 295941 297944 300944 306939 316930 318926 323924 327923 330925 333930 334935 336941 336947 337959 341972 348990 371025 374029 378032 385035 397043 399049 398055 397059 397061 399063 404070 407073 413072 418065 421064 426063 435065 440065 442062 441059 439056 436050 438046 441048 446050 453057 459059 465059 473055 477053 481055 488072 496071 502068 503066 505056 504047 502034 499027 495023 485017 481015 476011 467005 448999 441996 436992 427987 417988 408989 402988 379990 374989 370986 363983 361979 361970 366965 372957 376947 378936 380930 383927 386923 387920 387916 387909 393902 407895 432882 451872 460874 457882 439884 431894 427901 425906 425911 427915 427920 425926 421928 414932 408940 404943 404948 406958 414958 424961 430965 434969 439971 446970 456968 467960 482941 483937 483929 484917 484908 486902 489893 492880 494870 497850 507799 508787 507773 506757 505744 504727 502712 501707 499701 496692 497680 498670 497659 492644 491639 0.01 522265 523253 525247 527242 529238 532229 535223 537209 538197 538191 535186 528177 519164 514158 507153 503148 498141 490133 484129 477125 473123 467124 462126 457124 454125 451129 445140 442147 440154 440172 441178 443181 448187 450190 454191 459190 468183 473182 476184 481189 488192 496195 503200 506205 510211 515216 520221 521228 519233 515233 510224 504212 499207 494203 487199 479199 472202 465202 460203 454202 443208 438210 430211 425215 421221 414231 409236 407240 407245 410248 414250 422251 430254 434256 439256 451256 456256 464258 471262 476266 486280 490285 497291 501294 505296 511293 0.01 453114 454110 453105 451101 448097 444094 438096 435097 432100 431104 431108 432112 435116 437119 440120 446118 451117 453114 0.25 495733 494726 492719 488713 484710 482706 480699 476687 472677 464674 460675 457679 457698 455707 454711 451717 440732 437737 436742 436754 430761 425761 423759 421756 418756 412764 404770 395775 387778 379778 375780 372782 367787 362793 356801 351807 346810 344810 336808 331810 328813 326821 326828 323834 319837 313839 298835 292840 291848 294858 297863 308872 310883 312889 315892 321896 322900 320905 319908 322911 326907 330905 335903 340904 343907 343913 344919 349925 353927 359927 364924 366921 373908 376899 381892 394882 401877 411875 420875 426873 435871 445867 455863 460862 465862 473863 477864 483862 487858 488853 490846 494825 498801 499788 499774 498752 495733 0.25 512280 516266 516256 515252 510242 506234 502224 496217 492213 487211 482210 476210 470211 461213 446218 439222 436227 436234 437237 440240 450244 460247 465250 470251 475253 479256 485264 489271 496278 500282 504284 509283 512280 0.25 501177 503173 502168 499165 493163 487162 481162 478159 473155 470154 467155 466157 466161 469166 472167 478170 480175 485178 489180 493180 498179 501177 0.50 495787 494781 494775 492765 487755 483747 477736 473729 470725 467725 461728 455738 449746 444751 438757 434764 431768 427769 421767 415769 409772 402777 396781 390787 382789 377791 374796 368804 361808 353816 341826 335832 332836 327839 319846 312846 307843 299840 294849 296856 302863 311870 313879 314884 316886 323888 331889 348899 347909 348914 352917 357918 362915 366909 369904 374891 383881 389875 395870 398868 402867 406868 412871 420871 428869 433865 441863 447862 461858 467858 476857 479856 483851 486844 489833 491825 493817 494807 495793 495787 0.50 507273 510263 510256 509253 507246 503238 497227 494221 487216 473215 463217 458220 455222 454226 461237 471246 478249 483254 490266 495272 499276 504276 507273 0.50 492234 491234 489230 487228 486228 483226 480225 478223 475223 474224 474226 477227 480229 480230 482234 483236 485237 487238 488238 491235 492234 1.00 481795 480791 477791 472797 468805 466813 463820 458830 454835 449836 447835 443833 439835 430841 428847 431855 435856 439855 445854 453851 460851 468851 477844 480838 483828 484820 483808 481795 1.00 446775 445771 442770 439774 435786 431791 426790 423788 424780 419775 413777 407781 404786 402791 398797 396801 389809 386814 384819 379824 378829 373835 369837 365838 361837 357834 354830 352828 350829 347831 341835 337841 329856 323857 317857 309854 306854 304857 308862 315866 317876 320881 324882 328883 333883 337884 342886 345889 351890 354894 356903 356910 360909 365900 369889 376879 380872 389865 405848 407844 411839 415828 422818 429809 434802 438797 440793 443784 446775 1.50 475822 475817 473813 471819 471824 473825 475822 475822 1.50 409823 407820 405822 397829 389829 383833 380836 371842 368845 363847 356853 347856 336870 334872 332874 334876 341881 344882 349883 353883 357887 362886 367882 370880 374876 379868 387861 393854 399847 400841 402837 407828 409823 1.50 326870 324867 323866 321867 320868 320872 322874 325873 326870 2.00 391847 389844 386843 382843 377845 369849 365855 361862 363872 364877 366879 370878 373872 376867 384861 387856 390850 391847 2.00 352875 352872 351869 350868 347867 344868 342870 341872 342875 343876 346877 349878 352877 352875 3.00 380858 380855 377855 374857 372861 370865 373866 376862 378860 380858 380858 Ö$$