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Quantitative Precipitation Forecast
Issued by NWS
Issued by NWS
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000 FXUS04 KWBC 200959 QPFPFD QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS WEATHER PREDICTION CENTER COLLEGE PARK MD 558 AM EDT MON MAY 20 2013 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID MAY 20/1200 UTC THRU MAY 23/1200 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... ...PLAINS/UPPER MIDWEST/UPPER MS VLY... EXTREMELY COMPLEX FCST... FEATURING THE INTENSIFYING AREA OF LOW PRESSURE OVER THE DAKOTAS... TWO SMALL SCALE MID-LEVEL LOWS/MCVS IN CEN NE AND CEN IA... COUNTLESS SMALL SCALE SHORT WAVE DYNAMICS...AN ANOMALOUS POWERFUL COLD FRONT AND DEEP TROPICAL MOISTURE WILL SETUP HEAVY RAINFALL FROM THE NRN TIER OF THE COUNTRY SOUTH INTO THE CENTRAL/SRN PLAINS. THE MOST ORGANIZED RAINFALL AT THE MOMENT AND LIKELY TO PERSIST FOR THE NEXT SEVERAL HRS IS TRUE SYNOPTIC SCALE FORCING ACROSS A GOOD PART OF ND BACK INTO ERN MT/WY... AS DEEP MOISTURE OVERRUNS INTO THE COLD SECTOR TO COMBINE FOR A HEALTHY DEFORMATION ZONE OF MDT TO HVY RAINFALL AND OROGRAPHIC ENHANCEMENT IN MT/WY. THE GUIDANCE HAS A SOLID HANDLING OF THIS STEADY RAINFALL WITH 1 TO 2 INCH AMOUNTS AND LOCALIZED HEAVIER AMOUNTS. THE RAIN RATES SHOULD DECREASE OVER TIME AS THE UNSTABLE CONVECTIVE DEVELOPMENT OVER THE PLAINS INTO THE UPR MS VLY EVENTUALLY TAKES OVER THIS AFTN/EVENING AND THRIVES OVERNIGHT. THE GUIDANCE REALLY VARIES... ESPECIALLY ON THE HANDLING OF THESE TWO MID-LEVEL CIRCULATIONS AND THE LOCATION OF THE HEAVIER QPF AMOUNTS. WPC FOLLOWED A COMPROMISE OF THE DATA... BASICALLY A CONGLOMERATE OF THE GFS/ECMWF AND INTERNAL PSEUDO BIAS CORRECTED GUIDANCE FOR A HEAVY RAINFALL AXIS FROM ERN IA/MN INTO NRN WI... ANOTHER FROM ERN SD/ERN ND AND NWRN MN AND FINALLY A MAX FROM CENTRAL/ERN OK NEWRD TO CENTRAL MO. IN ALL OF THESE LOCALES... 1 TO 2 INCH AMOUNTS ARE POSSIBLE WITH LOCALLY HIGHER NUMBERS... AS THIS REMAINS A SLOW LARGE SCALE SYSTEM OVERALL WITH VERY FAVORABLE FACETS FOR HEAVY RAINFALL. ...SOUTHEAST... ANOTHER COMPLEX AREA... AS A TRAPPED MID-LEVEL LOW NEAR THE SRN APPALACHIANS FUELED A HEAVY RAINFALL COMPLEX OVERNIGHT ACROSS NRN/NERN GA WITHIN INCREASING WARM ADVECTION REGIME. AS THIS ACTIVITY HAS WEAKENED... MORE UPSTREAM DEVELOPMENT OVER ERN TN/NWRN GA NEAR THE EDGE OF A MOIST DECAYING DEWPOINT BOUNDARY HAS DEVELOPED AND BEGAN TRAINING AND PROPAGATE SOUTH AND EAST TO PARTIALLY CLIP THE AREAS IMPACTED OVERNIGHT IN GA. THE GUIDANCE INCLUDING THE HI-RES OUTPUT HAS HANDLED THIS ACTIVITY OVER THE PAST 6 TO 12 HRS MARGINALLY AT BEST AND THE FOCUS LATER TODAY INTO TMRW APPEARS BE SETTING UP OVER SC/CENTRAL NC... AS SMALL POCKET OF COOLER AIR ALOFT WITH DAYTIME HEATING INTERACTS WITH POOLING PW MAX FOR SLOW MOVING CONVECTIVE RAINFALL. WPC FOLLOWED A COMPROMISE OF THE GFS/ECMWF AND INTERNAL PSEUDO BIAS CORRECTED GUIDANCE. ...NEW ENGLAND... A SHORT WAVE OVER ERN CANADA WILL SLIDE DOWNSTREAM TOWARD NOVA SCOTIA/CANADIAN MARITIMES AND PRODUCE SOME WARM ADVECTION/OVERRUNNING SHOWERS AND ISOLATED HEAVIER RAINFALL ACROSS NEW ENGLAND THIS AFTN THROUGH TMRW. THE GUIDANCE AGREES THE MAX ISENTROPIC LIFT NEAR A WARM FRONTAL BOUNDARY WILL LIFT FROM INTERIOR NEW ENGLAND THROUGH MAINE. THIS IS WHERE WPC PLACED A MAX OF A .50 TO 1 INCH RAINFALL FOR THE NEXT 24 HRS. DAYS 2-3... ...PACIFIC NORTHWEST/INTERMOUNTAIN WEST... A STRONG CLOSED MID LEVEL LOW WOBBLING ONSHORE ACROSS THE PACIFIC NORTHWEST WILL BE THE FOCUS FOR QPF ON BOTH DAYS 2 AND 3. OUTSIDE OF THE 00Z NAM (WHICH WAS TOO STRONG AND NORTHWEST WITH THE CLOSED LOW)...THERE WAS GOOD MODEL CLUSTERING WITH THIS FEATURE. THE QPF FORECAST WAS BASED ON A 00Z ECMWF/GFS/UKMET BLEND. ON DAY 2...THE CLOSED LOW DRIFTS INTO THE PACIFIC NORTHWEST...MAINLY DURING THE SECOND HALF OF THE DAY. SYNOPTIC SCALE LIFT IS ENHANCED BY SEVERAL 90 TO 110 KT JET STREAKS ROTATING AROUND THE CLOSED LOW. THE BEST MID LEVEL LIFT AND MOISTURE OCCURS DURING THE MIDDLE PART OF THE PERIOD...AS MID LEVEL LAPSE RATES STEEPEN. THERE IS MOISTURE WITH THE FEATURE...AS PRECIPITABLE WATER VALUES PEAK NEAR 0.75 INCHES EARLY...THEN DROP OFF. AN AREA OF 0.50 TO 0.75 INCHES OF QPF WAS PLACED ON THE COASTAL RANGE OF OR...WITH LOCAL 0.50 INCH AMOUNT OVER THE CASCADES OF WA. DURING DAY 3...THE LOW TRUNDLES TO THE EAST...SO CONDITIONS DO NOT CHANGE APPRECIABLY...EXCEPT THAT THE SURFACE FRONT BECOMES ALIGNED BETTER WITH THE TERRAIN IN NORTHERN ID AND WESTERN MT. LIFT IS ENHANCED HERE...AND A STRIPE OF 0.50 TO LOCALLY 1.00 INCHES OF QPF WAS PLACED OVER THE BITTERROOTS OF NORTHERN ID INTO WESTERN MT. MID LEVEL LAPSE RATES STEEPEN AGAIN...AND THE PRECIPITATION SHOULD BE MORE SHOWERY IN NATURE ACROSS WA AND OR. A GENERAL 0.25 TO 0.50 INCH AREA OF QPF WAS PAINTED OVER OR AND WA. ...SOUTHERN PLAINS...MISSISSIPPI VALLEY/MIDWEST... SHORT WAVES RUNNING INTO AN AREA OF RICH MOISTURE AND STRONG INSTABILITY WILL RAISE THE SPECTER OF HEAVY TO LOCALLY EXCESSIVE RAINFALL ACROSS PORTIONS OF THE SOUTHERN PLAINS AND MID MISSISSIPPI VALLEY...MAINLY DURING DAY 2. BECAUSE OF THIS...A SLIGHT RISK OF EXCESSIVE RAINFALL WAS ISSUED FOR PORTIONS OF NORTHEAST TX AND SOUTHWEST AR. FOR THE MOST PART...MODELS WERE CLOSE ON THIS SCENARIO...AND A BLEND OF THE 00Z ECMWF/GFS WAS USED AS A TEMPLATE FOR QPF. ON DAY 2...THE FIRST SHORT WAVE CROSSES OK INTO AR...MAINLY DURING THE SECOND HALF OF THE DAY. AHEAD OF THE SHORT WAVE...PRECIPITABLE WATER VALUES REMAIN NEAR 1.75 INCHES...TRANSPORTED NORTH ON A 30 TO 40 KNOT LOW LEVEL JET. MODEL SOUNDINGS SHOW STRONG INSTABILITY AHEAD OF A FRONT AND DRYLINE...AND THIS SHOULD INITIATE CONVECTION IN THE AFTERNOON FROM NORTHEAST TX INTO SOUTHERN IL. THERE ARE INDICATIONS THAT A SMALL MCS COULD FORM ON THE NOSE OF THE LOW LEVEL JET DURING THE EVENING AND OVERNIGHT...WITH THE BEST MOISTURE FLUX ACROSS NORTHEAST TX AND SOUTHWEST AR. IN THIS AREA...AN AREA OF 2 TO 3 INCHES OF QPF WAS PLACED. SOME 00Z GEFS MEMBERS...AS WELL AS SOME 00Z MODEL SUITE MEMBERS...SHOW THE POTENTIAL FOR 4 INCHES OF RAIN HERE. AS A RESULT...A SLIGHT RISK OF EXCESSIVE RAINFALL WAS PLACED IN THIS AREA. A STRIPE OF 0.50 TO 1.00 INCHES OF QPF WAS PLACED FURTHER UP THE FRONT INTO SOUTHERN IL...AND THESE NUMBERS ARE BELOW THE FLASH FLOOD GUIDANCE NUMBERS. ...OHIO VALLEY SOUTH THROUGH THE GULF COAST... MOISTURE RICH AIR TRANSPORTED NORTH AHEAD OF A COLD FRONT WILL BRING THE THREAT OF LOCALLY HEAVY RAIN FROM THE OHIO VALLEY SOUTH INTO THE WESTERN AND CENTRAL GULF...MAINLY DURING DAY 3. THE TIMING OF THE FRONT WAS HANDLED FAIRLY WELL BY ALL 00Z MODEL SUITE MEMBERS...AND THE QPF WAS BASED ON A BLEND OF THE 00Z ECMWF AND 00Z GFS. PRECIPITABLE WATER VALUES BETWEEN 1.50 AND 1.75 INCHES ARE TRANSPORTED NORTH ON A 30 TO 40 KNOT LOW LEVEL JET FROM THE WESTERN GULF OF MEXICO INTO THE SOUTHERN GREAT LAKES. THE MOISTURE SHOULD BE FOCUSED ON THE FRONT...WITH SYNOPTIC SCALE LIFT PROVIDED BY THE LONG WAVE TROUGH THAT EVOLVES FROM THE NORTHERN PLAINS CLOSED LOW. MODEL SOUNDINGS SHOW MODERATE TO STRONG INSTABILITY AHEAD OF THE FRONT WITH A UNIDIRECTIONAL WIND SHEAR PATTERN. THE ACTIVITY SHOULD MOVE ALONG...WITH HEAVY RAIN BEING LIMITED BY SPEED OF MOVEMENT OF THE FRONT. A STRIPE OF 0.50 TO NEARLY 1.00 INCHES OF QPF WAS PLACED ALONG OF THE FRONT...SPREADING FROM NORTHERN OH BACK INTO EAST CENTRAL LA. ...GREAT LAKES/NORTHEAST... MOISTURE ALONG A WARM FRONT WILL BE THE PRIMARY PRODUCER OF QPF FOR DAY 2 ACROSS THE GREAT LAKES INTO THE NORTHEAST. MOISTURE ALONG A COLD FRONT WILL BE THE FOCUS FOR QPF IN THE SAME AREA DURING DAY 3. OUTSIDE OF THE 00Z NAM...WHICH APPEARED TO BE TOO FAST WITH BOTH FRONTS...THERE WAS A GENERAL MODEL CONSENSUS WITH RESPECT TO TIMING. WITH THIS IN MIND...A BLEND OF THE 00Z ECMWF AND 00Z GFS WAS USED AS A BASIS FOR THE QPF FORECAST. ON DAY 2...THE QPF FOCUS IS THE WARM FRONT. WHILE THERE ARE SOME MODEL DIFFERENCES WITH RESPECT TO TIMING AND POSITIONING OF THE FRONT...THERE IS BETTER CONSENSUS THAN PREVIOUS MODEL RUNS. PRECIPITABLE WATER VALUES BETWEEN 1.25 AND 1.50 INCHES (WHICH IS CLOSE TO TWO STANDARD DEVIATIONS ABOVE NORMAL FOR THE DATE) WILL BE FUNNELED ALONG THE FRONT INTO NORTHERN NEW ENGLAND. ACROSS NEW ENGLAND... INSTABILITY SHOULD BE FAIRLY LIMITED BY CLOUDINESS...BUT ELEVATED CONVECTION COULD HELP BOOST QPF AMOUNTS TO 0.50 TO 1.00 INCHES ALONG THE FRONT ACROSS NY INTO VT AND NH. FURTHER SOUTH...IN THE WARM SECTOR...STRONG INSTABILITY IS FORECAST TO BE PRESENT ACROSS PA AND NJ. HOWEVER...WITH A LACK OF CONVERGENCE ALONG A BOUNDARY...THE CONVECTIVE ACTIVITY SHOULD BE MORE SCATTERED IN NATURE...AND QPF AMOUNT OF 0.15 TO 0.25 INCHES WERE FORECAST. ON DAY 3...THE FOCUS FOR QPF WILL BE ALONG A COLD FRONT STRETCHED FROM NORTHERN NEW ENGLAND BACK INTO THE GREAT LAKES. PRECIPITABLE WATER VALUES NEAR 1.50 INCHES WILL BE PRESENT ALONG AND AHEAD OF THE FRONT...WHERE MODEL SOUNDINGS SHOW MARGINAL TO MODERATE INSTABILITY ACROSS THE GREAT LAKES INTO NY. STRONGER CONVECTIVE ELEMENTS (POSSIBLY ASSOCIATED WITH AN MCS) SHOULD RESULT IN LOCALLY HIGHER QPF AMOUNTS ACROSS WI AND MI...WHERE AMOUNTS COULD REACH CLOSE TO 1.50 INCHES. SOME 00Z GEFS MEMBERS SHOW 2 INCHES AMOUNTS HERE...WITH ISOLATED 3 INCH AMOUNTS POSSIBLE. FOR NOW...THERE WILL BE NO SLIGHT RISK AREA ASSIGNED...BUT LOCALLY HEAVIER QPF IS POSSIBLE. FURTHER EAST...WHERE THE INSTABILITY IS NOT AS GREAT...A GENERAL 0.25 TO 0.50 INCH QPF AREA WAS PLACED OVER NY...VT AND MUCH OF NH. AN AREA OF 0.50 TO 1.00 INCHES WAS DRAPED OVER NORTHERN NH AND NORTHERN ME...CLOSER TO THE FRONTAL BOUNDARY. ...FL... A CLOSED LOW OPENING TO A LONG WAVE TROUGH WILL ENHANCE THE TYPICAL SEA BREEZE CONVECTIVE SCHEME ACROSS FL FOR BOTH DAYS 2 AND 3. THERE WAS GOOD MODEL CONSENSUS WITH THE EVOLUTION OF THE MID LEVEL TROUGH...AND THE QPF FORECAST WAS BASED MAINLY ON A 00Z ECMWF/GFS/NAM BLEND. THE CLOSED MID LEVEL LOW WILL ENHANCE THE TYPICAL SEA BREEZE BASED CONVECTIVE REGIME. COOLER MID LEVEL TEMPERATURES WILL AID IN LIFT...AS MODEL SOUNDINGS SHOW MARGINAL TO LOCALLY MODERATE INSTABILITY WITH RELATIVELY WEAK SHEAR. PRECIPITABLE VALUES PEAK NEAR 1.75 INCHES...SUGGESTING THE CONVECTION COULD LAST AS LONG AS 03Z. THE LOW LEVEL FLOW SUGGESTS AN EAST COAST DOMINATED SEA BREEZE...AND AN AREA OF 0.25 TO 0.50 INCHES OF QPF WAS PLACED NEAR THE FAVORED LOCATION. MORE OR LESS THE SAME CONDITIONS ARE EXPECTED ON DAY 3...WITH ANOTHER EAST COAST DOMINATED REGIME EXPECTED. A STRIPE OF 0.25 INCHES OF QPF WAS PLACED ON THE EAST COAST OF THE PENINSULA. HURLEY/HAYES GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV 24HR QP VT 21/12Z 0.01 498647 496639 492630 483622 478618 474616 466612 457610 452612 448618 440627 439632 436635 433638 430639 425642 420653 422659 423662 421664 411673 406678 400681 395686 392690 383698 382700 382702 386710 390711 394709 401705 405705 409703 412704 414711 419725 420778 420784 423790 423798 422804 416813 414818 413825 411835 409847 407852 405856 402859 396863 391866 387869 375875 371878 365881 362883 359888 343927 334945 330967 315975 309982 304990 295995 291998 288002 286009 289013 294012 301007 304003 309002 329994 339993 346998 351997 354995 358993 361988 363985 367981 375974 383968 387965 389961 395951 402941 411936 420931 427927 434926 437925 438927 437932 432941 426951 415964 408985 404996 401000 401007 397035 395038 393035 389031 387028 386024 386015 385013 382012 380012 377011 374010 371014 356018 357023 363024 366026 365032 364035 361035 357033 354039 356043 357049 358054 362056 365059 367065 371067 374072 375079 378083 381087 385090 389092 394090 397089 400091 402096 402105 400110 400114 405117 408119 414118 416115 418113 421111 427112 431112 433114 434117 438118 443114 450121 451126 449128 443128 440131 438136 438145 441150 444151 447154 450155 450150 448144 448139 451135 456135 466138 469136 471137 479139 486141 490144 496148 500152 510156 514159 518160 521159 519154 517148 511137 508132 513126 514121 517115 517110 514109 512105 507102 501104 496103 492106 486107 481104 474096 470093 464091 461087 462083 465080 472078 477075 484074 491068 494064 510033 519974 518932 508863 503843 499832 497827 494818 492812 487797 484787 484782 480765 475748 472738 472730 468718 464716 461712 463706 469701 473700 477702 482703 483701 486695 486688 486682 483673 485670 490671 493668 496660 498647 0.01 518268 519262 519256 517248 513242 516238 513231 509226 507223 505226 503225 502219 500214 493211 482212 476211 474213 470213 460216 454218 450221 445223 438226 431233 427239 424246 422252 422258 424264 428269 435279 448287 456290 459291 462289 467288 471285 481278 486276 491273 505277 510275 514271 518268 0.01 442715 439708 435706 431704 428702 425701 425704 427712 430719 432726 433731 432735 435736 438731 441726 441720 442715 0.01 410757 407747 405743 404742 401741 397742 391746 378745 372738 367733 362730 356728 353728 350730 342741 339746 337751 334756 332762 329768 323772 319776 313780 306784 300785 289783 280779 272773 267770 264767 258766 251769 247773 245778 243783 242788 241800 242812 244814 249817 267826 272829 277829 288832 292834 296838 302850 307852 312853 318856 318852 318848 320845 324843 327840 330838 336836 344832 347832 350835 351840 353840 356835 357829 361827 363828 373830 384832 391829 399824 400817 400811 399802 399796 400793 402791 402785 402772 407768 409763 410757 0.01 430985 430980 427978 424978 421982 415991 411998 410003 406019 404025 404034 403042 401046 400050 402051 409053 416050 418044 420040 420035 420029 422009 424003 424993 428990 430985 0.01 319913 318909 315907 310905 308903 306900 307893 305890 301894 295899 294902 294906 295915 298924 301930 307930 312926 315924 317920 319914 319913 0.25 472672 470666 467661 460657 456655 449654 443656 435662 431668 431675 434680 439687 442689 446688 449683 451679 456676 462676 468676 472672 0.25 511256 509251 509250 507247 506249 506253 506254 508257 511256 0.25 509904 506885 503867 500853 495837 485813 479801 474795 466786 460778 456773 453768 449766 444770 439779 438783 439787 440794 439802 436813 427832 418852 414861 410868 407872 402876 394881 382887 374891 369895 366899 362907 356915 352923 345938 332975 329979 332983 338983 342985 345987 350987 355986 357984 370969 382955 392941 407927 421912 423910 429906 436904 441904 446907 448911 450926 450934 450938 447949 444959 441972 440985 440994 439000 436012 432022 431028 432034 435043 437048 439053 444064 447068 453071 461067 471064 479059 486051 491045 497034 502022 505010 508996 510980 512968 512961 512953 512937 509904 0.25 472250 471247 468247 467248 467251 470252 472250 0.25 375769 374766 372764 369763 365762 361763 352769 347773 340779 332783 326785 316789 308791 299792 293791 286789 260781 255783 251786 246791 246795 249799 253803 256806 258811 263815 276819 282823 290824 293821 293819 289816 285811 288808 293808 305810 311809 315808 319807 322809 324812 327814 334815 343812 350807 357803 364796 371781 374773 375769 0.25 383808 382807 380805 378804 375805 373806 370808 369810 368811 367815 368818 370819 373818 376817 379816 381812 383809 383808 0.50 506924 504906 503890 500873 496855 478815 449818 426845 417867 411874 406881 398887 390891 383896 374900 370902 367907 362912 357920 353927 346943 343952 342959 339970 338973 339977 345983 350984 354984 374960 418904 427888 431884 433882 442881 449885 456890 458895 460903 459912 457917 455926 454937 453950 452960 447982 446987 447994 449002 450010 450018 448023 445025 441029 439034 439041 441048 443051 446054 454057 470055 476054 480051 483048 493030 498019 501008 503997 505985 507969 507953 506924 0.50 363782 363778 361775 356778 348784 342787 337790 314796 291796 287793 278790 269788 265789 260792 259795 260799 277804 283805 285805 309801 323801 331804 336806 346802 355796 359792 361788 363782 1.00 496895 496887 496881 493867 489856 484854 478847 473841 468841 462846 458849 454853 452856 455859 459860 463863 471878 472887 474898 475903 479906 483910 486912 486916 484920 480927 479932 477935 471942 467948 467953 471956 474957 476962 477969 477982 479994 481009 483012 487013 492008 495000 498990 499981 500975 500968 499960 499954 500944 499930 496921 492912 491910 491906 496895 1.00 412898 413893 412890 406891 397898 391906 387909 382912 379913 377911 374907 369910 365915 359923 354932 350942 347951 344964 343969 343976 347979 353981 356977 359973 366964 372957 376952 379948 383940 390930 397921 405913 410904 412898 1.00 275795 274795 271796 271797 272797 274797 275795 1.50 485885 484881 483877 483875 482873 479870 479868 479870 478874 477878 478879 478884 478888 480891 481892 483893 484890 485886 485885 1.50 494982 495978 494973 493972 490974 489979 490983 491984 494984 494982 1.50 407899 406899 404900 403901 401902 398904 397906 396907 394911 394913 393915 395916 397915 399913 400912 402909 403908 405906 406904 407901 407899 1.50 383932 384926 381922 376923 372921 372917 371913 370914 366920 358931 354937 352943 347958 345966 345971 346975 351978 354978 356975 359970 363962 371952 378941 383932 2.00 369947 369941 368936 366932 363934 359938 355943 351950 349958 347965 347972 350976 354975 356973 358967 363959 365954 369947 3.00 362944 361943 358944 357945 356947 354950 353952 352953 352957 351958 350961 351964 352965 353964 355962 356960 357957 357956 359952 361948 361947 362944 24HR QP VT 22/12Z 0.01 527242 527233 526223 524217 521211 515205 512199 508194 497172 493167 492161 492152 489148 472136 468137 467145 459143 455145 448146 445148 442145 439140 436140 435147 435153 441165 442170 443178 440183 437185 426185 425191 430195 432200 431208 429212 425214 420215 416218 410229 407233 402235 400240 401245 402248 408250 420257 425266 426271 427276 429280 433286 437289 444292 450294 453292 460287 464283 466278 468274 470272 472270 475270 481271 485270 487274 492276 498280 502280 511273 515269 519269 524249 527242 0.01 475699 471689 467681 462678 457677 451680 449677 448672 447664 445655 443648 440640 437633 432625 425619 417629 413638 410644 409650 407660 408671 408685 408697 406706 403719 400725 397731 394738 390743 385746 378749 373749 370751 367750 360753 357740 360730 361725 359722 353723 346731 337747 334759 329768 327772 322776 317779 312778 306777 301774 292770 284766 279764 274764 265763 259765 256764 250767 248771 244778 235782 230785 228789 226791 228796 230799 232803 232814 232817 234821 241826 245827 252825 257825 262828 270835 274838 276839 279838 286834 289833 292833 310838 320834 330835 332834 335835 334839 336842 339848 342851 340855 335862 332865 328870 320876 321883 323886 323891 321896 317901 313903 310904 304905 297905 294906 292910 293918 295925 299927 298932 294941 295954 296961 294964 293968 290973 286976 281978 275983 273986 273991 274995 279997 281999 281005 278016 278020 281022 316998 324992 330989 335988 340988 341994 341999 341007 351027 357033 362036 365039 365046 363050 364054 367055 373056 376058 382061 386065 393074 395077 398077 402076 406077 410076 415072 425065 427062 426058 417052 404052 402052 399050 397046 395042 392040 388040 383039 381036 381031 379020 376018 372017 365017 360016 362009 362003 362996 364991 366979 370965 376955 390936 393933 396928 406921 412919 414916 420915 424916 427917 432918 436922 440927 441936 441940 440945 437951 436958 431967 428969 424973 417979 417985 417990 415995 416999 418003 419006 422012 425017 432025 435032 437041 438048 441052 448060 458057 464058 468060 478063 481064 485068 488065 491063 494058 496050 500039 502032 503025 504017 505007 504996 504990 505985 513913 513878 513862 511852 508843 499818 497811 497806 497796 497790 495782 495774 494769 492764 490759 486751 483743 477726 475699 0.01 528174 528168 527164 525160 524154 521147 512147 505141 502138 498139 491139 491144 494146 498154 501157 505158 509160 511162 516168 522173 526175 528174 0.25 520244 520238 520232 517221 514213 509206 504197 498191 489179 483169 476164 472163 466167 459172 453176 450178 448183 443190 441194 442199 446207 444212 440214 436217 428221 423226 423230 416236 413238 414244 422249 429253 436257 442257 445256 451253 463247 467244 469240 470236 470232 470227 472223 479226 487232 491234 493238 497246 501251 504256 508259 512257 514255 519248 520244 0.25 508895 507882 505870 498853 492838 490830 487820 485802 479789 475781 471776 468771 465763 464755 464745 465730 465714 462706 459704 457703 451705 446705 441705 436703 433702 428703 424704 421708 413736 411741 409748 410761 411768 411773 409779 406784 404789 402796 400807 399816 396822 390833 386837 383843 376852 364866 359870 353873 344881 328898 316914 311923 308932 305943 303956 303971 299982 299990 302993 308993 312992 315990 329975 336970 341968 345969 348970 352970 357965 364955 370947 377939 386920 392910 395908 399908 402909 412901 426897 437897 441897 446899 452906 457921 460929 460940 460944 458953 452967 450974 448981 447986 446997 447005 451010 455014 460017 464017 468016 472012 475008 478994 481985 486981 491975 493970 492964 488961 485954 485948 487931 488914 486895 488890 492896 497907 498909 503908 507900 508895 0.25 488866 487864 485862 484862 480861 478863 477866 479867 480869 482871 484872 486874 487871 488867 488866 0.25 479208 479203 478199 475194 473189 470186 465184 461187 458193 456198 454202 450207 449208 449213 451213 455214 461214 467214 470213 474211 479208 0.25 357830 355829 352830 350833 349837 352839 355838 356834 356833 357830 0.25 312803 307797 300795 294792 289789 282783 277781 269780 261782 254785 246788 242794 241798 243802 249807 256810 260815 266819 277824 283823 287820 292816 299812 305809 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