000
FXUS04 KWBC 122228
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
627 PM EDT SUN MAY 12 2013


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 13/0000 UTC THRU MAY 16/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

THIS WILL BE A PERIOD WHERE SIGNIFICANT PRECIPITATION WILL BE
RATHER SPARSE ACROSS THE COUNTRY..WITH A MID LEVEL RIDGE
DOMINATING THE WESTERN STATES EXCEPT FOR THE PAC NW WHILE A LARGE
AREA OF SURFACE HIGH PRESSURE COVERS THE CENTRAL AND EASTERN U.S.
UNDERNEATH THE IMPRESSIVE H5 TROF MOVING THRU THE EASTERN STATES.


...PAC NW...

THE LATEST MODEL SOLUTIONS ARE IN VERY GOOD AGREEMENT IN BRINGING
THE NEXT SIGNIFICANT H5 TROF INTO THE PAC NW BY THE END OF THE
PERIOD.  PRETTY IMPRESSIVE HEIGHT FALLS/STRONG MID LEVEL DYNAMICS
AND A WELL DEFINED VORT PUSHING INTO WA BY LATE MONDAY AFTERNOON
SHOULD LEAD TO INCREASING PRECIPITATION WITH TIME..ESPECIALLY
GIVEN AN AXIS OF GREAT THAN 1 INCH PWS BEING PULLED INLAND AHEAD
OF THE H5 TROF.  PRECIPITATION WILL BE RATHER WIDESPREAD..BUT
EXPECT THE HEAVIER TOTALS TO OCCUR IN THE MORE FAVORABLE HIGHER
TERRAIN OF THE WA/NORTHERN OR COASTAL RANGES AND THE
CASCADES..WHERE GREAT THAN 0.50 INCH AMOUNTS ARE LIKELY.  FARTHER
INLAND..LIGHTER PRECIPITATION WILL SPREAD INTO THE NORTHERN GREAT
BASIN ON THE LEADING EDGE OF THE HEIGHT FALLS LATER MONDAY.


OVER THE REMAINER OF THE NATION..RAINFALL AMOUNTS/WATER
EQUIVALENTS SHOULD BE BELOW 0.25 INCH..WITH LAKE EFFECT STILL
PRODUCING LIGHT AMOUNTS EAST OF ONTARIO..LOW LEVEL WARM AIR
ADVECTION PRODUCING LIGHT TOTALS IN THE NORTHERN PLAINS/UPPER MS
VALLEY AND FRONTAL PASSAGE LEADING TO MOSTLY LIGHT RAINS ALONG THE
SOUTHEASTERN FL COAST.


DAYS 2 AND 3...


...PACIFIC NORTHWEST/INTERMOUNTAIN WEST...

TWO SHORT WAVES WILL AFFECT THE PACIFIC NORTHWEST AND
INTERMOUNTAIN WEST ON DAYS 2 AND 3. THERE WERE SOME MODEL
DIFFERENCES REGARDING TIMING AND STRENGTHS OF THE SHORT WAVES
(ESPECIALLY THE SHORT WAVE FOR DAY 3). TO BALANCE OUT THE
DIFFERENCES IN THE MODELS...A BLEND OF 12Z ECMWF/GFS/UKMET WAS
USED FOR THE QPF FORECAST.

THE FIRST SHORT WAVE RACES ACROSS THE PACIFIC NORTHWEST AND
INTERMOUNTAIN WEST DURING THE FIRST HALF OF DAY 2. PRECIPITABLE
WATER VALUES START NEAR 0.75 INCHES AS THE SHORT WAVE
PASSES...THEN DROP QUICKLY IN THE WAKE OF THE SHORT WAVE. THE
COMBINATION OF SYNOPTIC LIFT IN THE FORM OF DIVERGENCE AHEAD OF A
WEAKENING JET STREAK AND MOISTURE IS FOCUSED ON THE HIGHER TERRAIN
OF BC...WA AND OR. A STRIPE OF 0.25 TO 0.50 INCHES OF QPF WAS
PLACED ACROSS THE CASCADES IN WA. FURTHER EAST...THE HIGHER
TERRAIN WAS THE FOCUS FOR QPF ACROSS THE BITTERROOTS IN ID AND
WESTERN MT. IN THESE AREAS...LOCAL 0.25 INCH AMOUNTS WERE FORECAST.

THE SECOND SHORT WAVE APPROACHES THE PACIFIC NORTHWEST LATE DURING
DAY 3. THE BEST MOISTURE ARRIVES JUST AHEAD OF THE SHORT WAVE
DURING THE SECOND HALF OF THE DAY. INCREASING DIVERGENCE AHEAD OF
A 90 KT 300 MB JET AIDES IN LIFT...AS PRECIPITABLE WATER VALUES
RECOVER BACK TOWARD 0.75 INCHES. MOST OF THE LIFT IS FOCUSED
ACROSS BC...WITH LOCAL 0.25 TO 0.50 INCH AMOUNTS EXPECTED IN THE
HIGHER TERRAIN IN WA.


...NORTHERN PLAINS/GREAT LAKES...

A FAST MOVING SHORT WAVE WILL CROSS THE NORTHERN PLAINS AND GREAT
LAKES DURING DAY 2 INTO EARLY DAY 3. THE SHORT WAVE WILL SPAWN LOW
PRESSURE DEVELOPMENT ACROSS CENTRAL PLAINS. DEVELOPING FRONTS WITH
THE LOW WILL BE THE FOCI FOR PRECIPITATION ACROSS THE REGION.
THERE WERE MODEL DIFFERENCES HERE WAS WELL...MAINLY WITH RESPECT
TO TIMING. A BLEND OF THE 12Z ECMWF/UKMET WAS USED AS A TEMPLATE
FOR THE QPF FORECAST.

MOST OF THE INITIAL QPF REMAINS NORTH OF THE BORDER AS THE BEST
WARM AIR ADVECTION TAKES SOME TIME TO RAMP UP. DURING DAY 2...THE
QPF SHOULD BE LIGHT ACROSS THE NORTHERN PLAINS AND GREAT
LAKES...WITH LOCAL 0.15 INCH AMOUNTS EXPECTED.

THE WARM AIR ADVECTION GETS RAMPED UP DURING DAY 3 ACROSS THE
GREAT LAKES. PRECIPITABLE WATER VALUES JUMP TO NEAR 1.25 INCHES
(CLOSING IN ON TWO STANDARD DEVIATIONS ABOVE NORMAL) AHEAD OF THE
SHORT WAVE ON A 45 TO 50 KNOT LOW LEVEL JET. MUCH OF THE
PRECIPITATION IS FORMED IN THE ISENTROPIC LIFT NORTH OF THE
FRONT...RESULTING IN A 0.15 TO 0.25 INCH AREA OF QPF ACROSS THE
GREAT LAKES INTO WESTERNMOST NY BY THE END OF THE PERIOD.


...ROCKIES...

MAINLY DIURNALLY DRIVEN QPF IS EXPECTED ACROSS THE ROCKIES DURING
BOTH DAYS 2 AND 3. MOST MODELS HAD A GOOD HANDLE ON THE CHARACTER
OF THE PRECIPITATION...AND A BLEND OF OUTPUT WAS USED FOR THE QPF
FORECAST. A NOD WAS GIVEN TO THE 12Z NAM...WHOSE HIGHER RESOLUTION
WAS USED TO BETTER PINPOINT LOCAL QPF MAXIMA.

THE MOISTURE PROFILE IS BETTER ON DAY 2...WITH PRECIPITABLE WATER
VALUES NEAR AN INCH ACROSS THE FRONT RANGE. VERY STEEP MID LEVEL
LAPSE RATES (GREATER THAN 8.5 DEGREES C PER KM) SHOULD HELP FOSTER
INCREASING CONVECTION DURING THE AFTERNOON AND EARLY
EVENING...MAINLY ACROSS THE TERRAIN WITH BETTER DIFFERENTIAL
HEATING. LOCAL 0.15 INCH AMOUNTS ARE EXPECTED NEAR THE
FRONT...WITH LOCALLY HIGHER AMOUNTS POSSIBLE IN CONVECTION
CLUSTERS.

THE MOISTURE PROFILE IS NOT AS ROBUST ON DAY 3...BUT THE OTHER
MAIN INGREDIENTS ARE PRESENT. THIS SHOULD RESULT IN LOCAL 0.15
INCH QPF MAXIMA...AGAIN MAINLY IN THE HIGHER TERRAIN.


...SOUTHERN PLAINS...

MOISTURE RETURNING NORTH AHEAD OF THE CLOSED MID LEVEL LOW OPENING
UP AS IT LEAVES NORTHERN MEXICO WILL BE THE FOCUS FOR INCREASING
SHOWERS AND THUNDERSTORMS ACROSS THE SOUTHERN PLAINS FOR DAY 2 AND
DAY 3. THERE WAS DECENT MODEL AGREEMENT WITH THE SEQUENCE OF
EVENTS...BUT THERE WERE SOME TIMING ISSUES. FOR THAT REASON...THE
QPF WAS BASED MAINLY ON THE 12Z ECMWF.

THE PERSISTENT CLOSED MID LEVEL LOW OVER MEXICO FINALLY STARTS TO
OPENS UP AND MOVES INTO TX LATE DURING DAY 2. AHEAD OF THE
SYSTEM...THE LOW LEVEL EAST THEN SOUTHEAST FLOW STARTS FUNNELING
HIGHER PRECIPITABLE WATER AIR (INCREASING TO NEAR 1.75 INCHES
ACROSS SOUTHERN TX) NORTHWEST. SYNOPTIC SCALE LIFT IS PROVIDED BY
DIVERGENCE AHEAD OF WEAK JET STREAKS AHEAD OF THE TROUGH...SO THE
ACTIVITY MAY BE MORE SCATTERED ON DAY 2. MODEL SOUNDINGS SHOW
MARGINAL TO MODERATE INSTABILITY IN THE MOISTENING COLUMN...WITH
GOOD LOW LEVEL TURNING. THIS SHOULD PROMOTE EFFICIENT RAINS IN THE
CONVECTION. THE HIGHEST QPF AMOUNTS...NEAR ONE-THIRD OF AN
INCH...SHOULD BE LIMITED TO SOUTHERN TEXAS.

DURING DAY 3...THE MOISTURE MAKES BETTER INROADS INTO THE SOUTHERN
PLAINS. THE AIRMASS REMAINS MARGINALLY TO MODERATELY
UNSTABLE...WITH MODEL SOUNDINGS SHOWING GOOD LOW LEVEL TURNING AND
HIGH PRECIPITABLE WATER VALUES. LOCAL 0.15 TO 0.25 INCH QPF
AMOUNTS WERE PLACED OVER CENTRAL AND EASTERN TX INTO EASTERN
OK...WITH LOCALLY HEAVIER AMOUNTS POSSIBLE IN CONVECTION CLUSTERS.


...NORTHEAST/OHIO VALLEY....

STRONG WARM AIR ADVECTION OVER A SURFACE WARM FRONT WILL RESULT IN
AN AREA OF RAIN ACROSS PORTIONS OF THE NORTHERN OHIO VALLEY AND
NORTHEAST STATES...MAINLY DURING DAY 3. FOR THE MOST PART...THE
QPF FORECAST WAS BASED ON A 12Z ECMWF/UKMET BLEND.

PRECIPITABLE WATER VALUES NEAR 1.25 INCHES WILL BE WILL
TRANSPORTED ON A SOUTHWEST 40 KNOT LOW LEVEL JET OVER A SURFACE
WARM FRONT DRAPED ACROSS THE GREAT LAKES INTO THE NORTHERN MID
ATLANTIC STATES DURING DAY 3. THIS SHOULD RESULT IN THE BEST MID
LEVEL MOTION OCCURRING DURING THE AFTERNOON HOURS ON WED...AND
MODEL SOUNDINGS SHOW THE POTENTIAL FOR ELEVATED CONVECTION ACROSS
THE FRONT OVER PA. A LARGE AREA OF 0.15 TO 0.25 INCHES OF QPF WAS
PLACED IN THE VICINITY OF THE FRONT...AND LOCALLY HIGHER AMOUNTS
ARE POSSIBLE WITH ELEVATED CONVECTION.


TERRY/HAYES


GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV

24HR QP VT 14/00Z
 0.01 509653 506646 502637 499630 495624 491620 487615 480610
      476606 472605 463608 459608 456610 452610 447614 445616
      442616 438618 428626 424627 419631 410639 406643 404648
      400652 399657 398663 400667 404675 408677 412679 414682
      421685 429690 436693 445694 454692 463690 467688 472684
      475689 474693 472695 467699 461702 452711 449716 444720
      439730 438735 434741 429749 428754 428759 429766 426772
      422775 420780 408785 404788 404794 405801 406806 408812
      411817 414822 417820 420810 423800 427790 429785 434782
      439774 443763 447752 452731 453726 459721 462720 464722
      463726 461728 454749 453754 455762 458766 461774 461777
      459780 456782 448787 444785 441786 442791 444798 442802
      440804 436807 436811 439813 447809 450804 455802 471806
      482808 486809 491808 499809 504807 506804 516800 522792
      524787 523777 521769 519762 517757 514756 510753 507752
      502752 499749 495742 493733 490726 489721 491718 494719
      495714 496688 507671 508666 509659 509653
 0.01 563957 563951 562945 560936 553927 549924 544921 540918
      534915 526912 521910 515910 511908 504907 500907 494908
      490906 483907 477911 474915 470926 471934 473938 472944
      473951 480960 484963 491964 501965 519978 523982 527984
      532986 538986 544983 548980 552975 555970 560963 563957
 0.01 534210 535201 536193 535186 533180 529171 523163 495140
      492138 490134 483129 479127 475128 472132 470136 467140
      464141 459143 456146 452155 448163 444172 443178 441182
      438195 436209 431217 424222 421233 419237 421242 423246
      427249 432251 438256 448261 464271 473277 476279 480282
      489288 496293 502295 505294 507290 509284 514276 516271
      519265 521261 522252 521240 522227 523221 525216 529215
      531213 534210
 0.01 508012 508005 506999 503993 500990 497989 491983 487979
      484979 482983 481993 482000 483003 489010 495014 501015
      505017 508012
 0.01 453080 451076 450076 448072 447071 447072 444076 441080
      439079 436080 435080 433084 435088 438089 441089 444088
      447085 450084 453081 453080
 0.01 397805 395797 390792 387788 385783 381777 377771 375777
      378787 381797 384807 389813 391816 393818 398821 397813
      397805
 0.01 415084 416072 413064 412056 408056 404053 398052 392055
      386058 381054 375050 369049 361050 358051 355054 358058
      363061 366068 371072 374079 378083 381077 389076 394077
      398079 401079 403077 405078 406083 412084 415084
 0.01 409106 409102 406102 406106 405110 406114 409110 409106
 0.01 369986 366983 363983 359984 356988 354992 351996 350001
      349006 347010 350010 353007 356005 360001 363998 365994
      367990 369986
 0.01 364944 364940 363937 363936 360934 359934 359938 360941
      361942 364944 364944
 0.01 298795 295789 291785 290782 288782 283781 277783 271787
      268789 265786 262784 259784 253787 250791 249793 249797
      252807 260811 269815 274816 277816 278814 279808 279804
      282803 292805 297803 297796 298795
 0.01 230002 238031 239037 241040 245041 250042 255048 263057
      271065 277067 283070 285072 289072 296072 299068 300062
      300051 297046 294030 295024 292019 281015 275012 271007
      274995 268983 264980 261972 255961 248950 241950 237954
      234959 233967 232974 230979 230982 230002
 0.25 500661 500656 498653 496651 493653 490653 487655 484657
      482660 482663 482668 484671 487672 488673 491674 493674
      494674 497673 500670 500667 500663 500661
 0.25 513770 512766 510762 508759 502758 500759 494762 489766
      487770 485776 486783 488786 490790 493792 496793 502792
      507788 511782 513776 513770
 0.25 512266 514261 514256 513247 511236 506225 500214 497210
      491208 485207 482209 476208 470210 467210 461212 445216
      440218 436221 434226 437230 439235 440240 443244 446245
      456248 467252 476256 484263 491272 498280 502280 506277
      509269 512266
 0.25 518186 518185 516181 515180 512177 511175 510174 507173
      504172 501172 499172 498177 500181 503182 503183 506184
      509185 512186 515187 517188 518186
 0.25 498246 496242 495240 493238 491239 493241 494244 495246
      498246
 0.25 488238 491234 488231 486232 485234 484232 483230 482231
      482232 484236 485237 487237 488238
 0.25 495171 493167 493166 490163 489161 487160 485159 482158
      479157 476159 475163 478167 481168 484169 486171 489173
      492173 495171
 0.25 463178 462176 460175 458177 456181 459183 460182 462179
      463178
 0.25 269798 269795 267794 265794 262794 259795 259796 257797
      255799 254801 253803 253804 254805 257805 258805 260806
      263806 264806 266807 269806 269804 269801 269800 269798
 0.25 262017 263009 263002 261995 258991 253980 252975 249971
      245968 241969 240976 240981 237993 237000 239007 243017
      246021 251024 256024 260022 262017
 0.50 507774 508769 506765 504762 503762 501763 498765 497766
      496768 494773 495777 498780 499781 502781 505779 507775
      507774
 0.50 504272 505266 504262 502257 492244 488240 484242 476231
      469236 463232 458236 451239 458242 465244 470244 474247
      481251 485256 494267 498272 502273 504272
 0.50 509250 509243 508238 505230 501222 496216 492213 488212
      481213 477213 473213 467213 452216 445218 439222 439227
      443229 446229 452226 459227 464227 466226 472222 478221
      483221 487223 492229 495235 503251 505253 508252 509250
 0.50 257015 257009 256003 254000 251997 248995 247995 244998
      242001 242007 244010 246013 249016 254017 257015
 1.00 504239 503234 503233 501230 499228 498226 495226 495227
      496231 497234 498237 499238 502241 504239
 1.00 499260 496256 496254 494252 491251 491252 491253 493258
      496261 499260

24HR QP VT 15/00Z
 0.01 540903 539898 536896 531891 519887 514884 508880 504876
      502875 503872 506872 509873 513875 519876 523873 525868
      525860 522857 512850 499846 486844 488839 488835 483829
      478825 476824 472824 460823 451826 445826 440829 438832
      435835 433840 433846 435850 438852 442853 459846 423895
      434903 443912 439918 435926 429937 427941 426946 425950
      426955 429961 432961 436960 446949 449944 453941 455939
      458940 460946 475968 479974 481979 480986 477994 474002
      474005 475012 476015 478022 481032 482042 483048 484054
      482065 478076 473083 465092 461093 459096 455101 453111
      450119 445123 443125 441129 438132 437139 438149 443157
      446167 447172 446179 442187 439194 439198 442202 446204
      451201 459190 464186 468185 473185 476190 474195 471202
      463207 457208 450211 443214 436220 436226 440228 442232
      437238 444245 447246 451244 456246 458250 455254 453256
      452262 451267 451272 457276 463276 468277 473277 476279
      478282 480286 485296 490303 493310 498312 502310 505306
      508301 511294 515283 517269 519257 519246 519240 521236
      525231 531224 535212 538202 539194 538186 537160 536156
      536152 536145 536132 536112 537083 537054 538045 539032
      538025 540019 540006 538977 537960 536951 535942 529920
      527917 527911 531911 534910 536908 540903
 0.01 418053 417047 415041 413038 410039 409041 405044 401044
      397040 395038 392038 386041 378042 374041 372040 369040
      364046 358050 351051 344051 335051 330055 338075 341079
      341084 341092 346095 349093 352089 355083 358076 364072
      368071 372073 375079 378083 382078 386076 390077 392079
      394075 396073 398076 399074 400070 404072 407076 410076
      412073 414060 418053
 0.01 275759 273757 268757 259762 255768 252776 252782 250786
      251796 253805 260805 265805 270802 271794 269788 270784
      269779 270775 271772 273771 275767 274763 275759
 0.01 230994 233002 235012 238019 240022 242026 241031 241036
      239039 242046 245051 247054 251058 256061 261066 269072
      275078 280088 285095 291100 296103 299104 302099 305094
      305088 305084 302072 298062 297056 294049 289043 284036
      279025 282023 285024 290026 301027 307024 312016 309012
      308004 319989 318985 315981 311977 305977 297976 285976
      270963 268962 262961 252961 248958 245954 241953 234955
      232961 232970 230990
 0.25 529199 528194 527185 522175 514166 508158 506156 503157
      499160 494159 487161 487166 485169 486172 489175 497184
      505190 511192 514195 519199 525202 529199
 0.25 529980 528971 527962 526954 523943 519929 515925 512924
      510928 509943 509961 508978 503990 499005 499015 500027
      505037 507046 508057 509073 508095 508100 511105 514109
      517115 519118 522117 525111 526104 528092 528072 528048
      527039 527028 527008 528992 529980
 0.25 509255 511248 510243 506230 498214 495210 491208 485207
      482209 467213 463215 461221 466224 469223 477221 483224
      488227 490230 494240 496245 495245 487240 483240 479235
      476234 473237 474243 478246 482249 485253 490261 496268
      501269 504267 506258 509255
 0.25 471154 470153 469149 468148 465146 462145 459147 459148
      458152 458156 461159 464160 467159 469158 470155 471154
 0.25 267980 267977 264972 261971 258969 255970 251973 250977
      250983 252985 254990 255994 255997 258998 260998 263997
      264993 265987 266984 267980
 0.50 523986 523977 519973 516978 514984 512993 510998 509003
      508012 510020 513026 515030 517034 520030 521025 522015
      522011 522001 523991 523986
 0.50 521087 521082 521077 521072 521068 521063 520061 517063
      517068 517072 515077 515082 515086 516091 517093 518091
      520090 521087
 0.50 506244 505237 503231 501226 499222 495217 491213 485213
      480213 483218 487221 490225 494231 497236 499240 502243
      504246 506244


24HR QP VT 16/00Z
 0.01 563904 563895 562886 559873 555847 552834 549831 548824
      544812 542810 540805 529795 521783 509773 501763 495756
      489751 480742 471732 468728 465726 460724 452721 449722
      446720 436716 430716 424714 421715 417714 411717 404718
      397722 394728 392734 392743 393746 391749 387751 381756
      379759 380764 383773 386783 386790 393803 403810 405813
      409816 413819 415823 415828 416834 419847 421855 424857
      426863 429868 431874 433876 437883 440889 445894 465911
      468914 472915 477920 486927 492931 497937 502942 505948
      510949 514951 521952 531956 539954 545950 549948 551944
      554937 558927 560919 563904
 0.01 533205 535198 535192 533185 530179 526175 518165 514161
      508158 503153 500149 497143 493139 489134 486133 484129
      478128 472128 472133 475138 476142 476147 475156 476164
      479171 482186 481192 478197 472197 464201 455209 448208
      446212 442232 437233 435239 434249 434254 436262 436271
      432290 431298 431304 433311 435316 439322 442328 446332
      453335 457335 460331 463322 465317 467315 470307 472304
      475305 479300 485302 491304 495301 505298 509294 512286
      516279 519273 521263 520257 518238 516230 514223 509217
      506211 507201 507195 508191 510193 513199 521208 525213
      528211 533205
 0.01 461127 462119 461114 457111 455108 453097 449095 445092
      427089 423099 420102 415102 412102 410099 408096 406094
      406099 406110 415111 420119 424121 426124 429123 430118
      433115 438113 441114 442116 444120 446130 447134 448137
      447144 448146 450151 457135 461127
 0.01 415068 416061 415056 410049 407046 408040 409036 409030
      406022 402015 397014 395017 391024 389030 387033 384036
      380039 374043 371045 366045 363047 360050 355054 355058
      358061 361065 364066 369066 372069 374073 375079 375083
      378083 382080 387079 397080 401080 404077 415068
 0.01 230000 232005 234011 239017 251016 255018 262018 268017
      270011 273011 275013 278016 282020 284027 287031 290031
      298031 302033 314033 326033 332031 335028 340024 340017
      339013 335009 347993 351987 357984 363978 369969 372964
      373960 354921 348919 342920 335925 328932 319940 313948
      307950 301953 297954 292957 286959 283962 280968 277971
      267971 261971 259974 258980 259985 263990 264996 267005
      261001 252996 241991 235989 232990 231993
 0.25 555907 555896 554886 552878 550870 545858 542851 541846
      536833 530824 517803 507787 503781 499777 494773 486767
      479763 471760 464759 458761 454765 452773 452780 450782
      448788 448796 449800 448804 443805 435807 433808 432814
      437823 443833 445839 447842 450846 453848 461854 466862
      470875 473879 477882 479884 485885 492887 499892 502895
      505900 511908 517916 523924 531929 539931 543930 547928
      551922 555907
 0.25 505277 508270 508264 508254 504244 501238 494233 487233
      479232 475233 473237 469241 462245 458249 456255 455261
      452268 451277 452283 455284 460280 464281 467283 474282
      482281 489280 498284 502281 505277
 0.25 417757 416753 415750 413748 411750 410753 410756 410757
      411759 411760 415763 416762 417761 417757
 0.25 421797 420793 419790 416787 413784 412784 409784 407786
      406788 407792 407796 409799 411802 412803 415803 418802
      420800 421797
 0.25 332964 331956 329954 325952 319953 314957 312961 307967
      305972 304977 306981 309984 317984 326983 330978 332971
      332964
 0.50 548889 547878 544873 538861 532848 525838 519824 510812
      504804 501793 498785 494782 490780 485779 482781 477787
      475791 476797 478801 481804 493831 508852 514866 520878
      524896 526903 530910 535912 541911 545905 547898 548889
 0.50 502266 502261 500256 496250 494246 490244 483246 479247
      476250 470251 465256 465262 468263 471263 472269 476272
      484273 490274 495265 499267 502266
 0.50 475853 472851 472850 469848 468852 470854 472855 473855
      475853

$$