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Quantitative Precipitation Forecast (QPF) Discussion
 
(Caution: Version displayed is not the latest version. - Issued 2215Z Dec 18, 2014)
 
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Abbreviations and acronyms used in this product
 
Geographic Boundaries -  Map 1: Color  Black/White       Map 2: Color  Black/White


QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
515 PM EST THU DEC 18 2014


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID DEC 19/0000 UTC THRU DEC 22/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


A LOOK AT THE 12Z ECMWF HIRES AND 18Z GFS AND NAM QPFS DIDN'T GIVE
A STRONG HINT AS TO WHETHER THE HEAVIER RAINFALL AXIS ACROSS THE
GULF COAST AREA SHOULD BE SHIFTED EITHER FARTHER SOUTH OR
NORTH..SO DID NOT MAKE ANY CHANGES TO THE EXISTING FORECAST.

DAY 1...

...TX/LA GULF COAST REGION INTO THE FAR SOUTHERN MS VALLEY...

THERE WILL BE A RELATIVELY SHORT WINDOW OF OPPORTUNITY FOR LOCALLY
HEAVY RAINFALL DURING DAY 1 ALONG AND JUST NORTH OF THE GULF COAST
FROM EASTERN TX INTO THE LOWER MS VLY. THIS AS A FAIRLY ROBUST
INFLUX OF SUBTROPICAL MOISTURE (PRECIPITABLE WATER VALUES CLIMBING
TO 1.5+ INCHES) WITH THE SOUTHWEST FLOW ALOFT AHEAD OF THE
SHORTWAVE TROUGH CURRENTLY ACROSS THE SOUTHWEST AND WESTERN
MEXICO. THE FAVORABLE SOUTHERN STREAM FORCING...SPECIFICALLY THE
WAA/WARM CONVEYOR BELT DYNAMICS AND ATTENDANT LOW LEVEL MOISTURE
FLUX FROM THE WESTERN GULF OF MEXICO...WILL COUPLE WITH THE
INCREASING UPPER LEVEL RIGHT ENTRANCE REGION FORCING (LOW-MID
LEVEL FRONTOGENESIS) VIA THE NORTHERN JET AXIS TO FAVOR A FAIRLY
ELONGATED AREA OF MOD-HEAVY RAINFALL AMOUNTS. WHILE THE
PRECIPITABLE WATER AVAILABILITY (ABOVE THE 75TH PERCENTILE
ACCORDING TO CLIMO) WILL BE SUPPORTIVE FOR POTENTIALLY EXCESSIVE
SHORT TERM RAINFALL...THE DEGREE/DEPTH OF INSTABILITY (OR LACK
THEREOF) ALONG WITH THE STRENGTH OF THE DEEP-LAYER SHEAR WILL
LIMIT THE FLASH FLOODING THREAT. SPECIFICALLY...THE MODELS SHOW
MUCAPES LESS THAN 500 G/KG (HIGHER OVER THE GULF)...WHILE THE
STRONG VERTICAL SHEAR WILL PROMOTE GOOD FORWARD/DOWNWIND
PROPAGATION AND THUS FAIRLY PROGRESSIVE CELL MOTION WITH THE
HEAVIER RAIN BANDS. THE UPSHOT IS AREAL-AVERAGE RAINFALL AMOUNTS
BETWEEN 1.5 AND 3.0 INCHES OVER A FAIRLY BROAD AREA FROM EASTERN
TX NEAR THE GULF EASTWARD THROUGH CENTRAL LA AND SOUTHWEST
PORTIONS OF MS. HOWEVER...THE MODELS CONTINUE TO STRUGGLE WITH THE
AXIS OF HEAVIEST RAINFALL (LOWER RES GUIDANCE CONTINUES TO BE
FARTHER N COMPARED TO THE HIGH RES). THE MORE FAVORABLE
THERMODYNAMICS WOULD SUPPORT THE HEAVIER RAINFALL POTENTIAL CLOSER
TO THE GULF COAST AND OFFSHORE...AS PER THE RGEM...WRF-ARW...AND
NSSL WRF...AND AS SUCH THE LATEST WPC QPF SHIFTED THE AXIS OF
HEAVIEST RAINFALL A LITTLE FARTHER SOUTH FROM CONTINUITY -- WITH
FURTHER SHIFTS TO THE SOUTH (CLOSER TO THE GULF COAST) CERTAINLY
POSSIBLE.


...WEST COAST...

THE EXITING NARROW UPPER RIDGE IS CURRENTLY GIVING WAY TO
INCREASING WAA AND ONSHORE FLOW AS NEXT UPSTREAM SYSTEM RAPIDLY
APPROACHES THE CNTL/NRN PAC COAST REGION TONIGHT INTO FRI. RETURN
MSTR AXIS IS EXPECTED TO BE FAIRLY NARROW BEING SO CLOSE ON THE
HEELS OF CURRENT SYSTEM BUT SUFFICIENT HEIGHT FALLS ALONG WITH A
30+ KT SWLY 85H FLOW SHOULD SUPPORT A PD OF MDT TO LOCALLY HEAVY
RAINS FROM THE NRN COASTS OF CA NWD INTO THE OLYMPICS/NRN WA
CASCADES. AS WITH THE 00Z RUN...THE 12Z NAM CONTINUED TO BE ON THE
DRIER SIDE OF THE MODEL CONSENSUS...WHICH ALONG WITH THE HIGHER
RESOLUTION GUIDANCE SUPPORTED A WIDESPREAD SWATH OF
OROGRAPHICALLY-ENHANCED AMOUNTS BETWEEN 1 AND 1.5+ INCHES ACROSS
THE FAVORED HIGHER TERRAIN OF THE COASTAL RANGES...CASCADES...AND
NORTHERN SIERRAS.



DAYS 2/3...

...LOWER MISSISSIPPI VALLEY TO THE SOUTHEAST...

BAROCLINIC ZONE ALONG THE GULF COAST WILL PULL MOISTURE OFF THE
GULF OF MEXICO WITH PRECIPITABLE WATER VALUES OF UP TO 1.25 INCHES
THAT WILL OVERRUN THE FRONT PRODUCING PRECIPITATION ACROSS THE
AREA.  MAXIMUM QPF AMOUNTS WILL BE NEAR 1.00 INCHES OVER PARTS OF
THE CENTRAL GULF COAST AND LOWER MISSISSIPPI VALLEY FROM FRIDAY
EVENING INTO SATURDAY.  THE MAXIMUM QPF AMOUNTS WILL TAIL OFF TO
NEAR 0.40 INCHES OVER NORTHERN FLORIDA/SOUTHEASTERN GEORGIA ON
SATURDAY EVENING INTO SUNDAY.  WPC USED A BLEND OF THE ECMWF AND
IN-HOUSE BIAS CORRECTED ENSEMBLE AS A STARTING POINT FOR THE
MANUAL QPF.

...WESTERN U.S....

BAROCLINIC ZONE WILL MOVE INTO THE WEST COAST FOLLOWED BY STRONG
ONSHORE FLOW THAT WILL PRODUCE MODERATE TO HEAVY PRECIPITATION
OVER NORTHERN CALIFORNIA AND THE PACIFIC NORTHWEST.  A PLUME OF
MOISTURE WITH PRECIPITABLE WATER VALUES OF UP TO 1.25 INCHES WILL
BE DIRECTLY PUSHED INTO THE NORTHWEST COAST WITH STRONG 50 KNOTS
85O MB FLOW.  THE SYSTEM WILL PRODUCE A MAXIMUM QPF OF 2.00 TO
2.50 INCHES ALONG THE COASTAL RANGES FRIDAY EVENING INTO SATURDAY.
 ON SATURDAY EVENING INTO SUNDAY ... THE MAXIMUM QPF WILL RANGE
BETWEEN 2.50 TO 4.00 INCHES OVER THE COASTAL RANGES AND THE
CASCADES.  WITH THE DAY 1 AND 2 QPF TOTALS REACHING NEAR 5.00
INCHES AND THE STRONG ONSHORE FLOW AT 50 KNOTS ALONG WITH
PRECIPITABLE WATER VALUES UP TO 1.25 INCHES MAY CAUSE SOME RUNOFF
CONCERNS.  WPC ISSUED A SLIGHT RISK OF EXCESSIVE RAINFALL FROM
SATURDAY EVENING INTO SUNDAY.  WPC USED A BLEND OF THE ECMWF AND
IN-HOUSE BIAS CORRECTED ENSEMBLE AS A STARTING POINT FOR THE
MANUAL QPF.     

HURLEY/TERRY/ZIEGENFELDER

GRAPHICS AVAILABLE ON THE WEB AT www.wpc.ncep.noaa.gov/qpf/qpf2.shtml

24HR QP VT 20/00Z
 0.01 475618 483623 490628 497635 499640 501645 502654 501661
      499665 497669 491678 488683 486686 478691 472686 464683
      458677 464670 467666 467661 461663 457665 448667 440662
      440657 441652 442645 444641 450634 453629 456627 460626
      464622
 0.01 524258 523252 521246 518236 511218 512210 514207 517209
      519214 525218 529220 532220 533217 534210 535201 535190
      533184 530181 525173 503147 500144 495142 489135 484130
      473127 471128 471130 470135 469138 465137 463134 461134
      458136 453136 451136 451140 450144 449147 443146 440143
      438139 435137 424136 417137 415139 415143 420150 422153
      420155 413148 410145 407147 403148 401145 395144 391146
      390148 394150 395152 395157 396163 392165 388169 396177
      399179 402181 406184 408188 406194 402195 395197 390195
      384194 377190 373191 371195 376204 375207 374209 371210
      361207 353211 351220 351233 350241 351244 356246 358244
      361246 365249 366252 365255 363259 359268 354276 364287
      368288 371286 376286 377291 383293 387296 395295 398295
      402294 406293 410291 416289 424286 438282 446280 455278
      462277 469276 474276 478277 482279 486282 489291 492297
      496295 500299 508299
 0.01 460704 455706 451708 447709 443714 440721 430731 432733
      436732 439733 441735 440740 437743 433744 430742 422742
      420742 420745 421757 422763 424765 427770 425777 418781
      411784 404787 398790 395793 395796 402795 405797 407799
      408810 410819 413823 415823 418820 420816 419811 425796
      429789 433783 434775 436767 438759 439755 442753 447748
      450741 450731 450721 452715 456710 460704
 0.01 455103 452097 448093 443096 439094 437095 436097 434096
      429093 428091 427094 430099 430101 428103 423105 421108
      426113 430116 433117 434115 437117 438120 438124 440127
      444126 447121 450115 452111 451108 451106 454105 455103
 0.01 430866 430864 429862 428860 427859 426857 424857 422857
      420858 419860 418863 419865 421867 423868 424868 426867
      428867 429867 430866
 0.01 413073 412068 408065 405065 405061 409061 402055 393059
      389058 388056 385054 385052 380044 378041 375041 368041
      365043 363047 363056 367057 371056 377056 381056 381060
      377062 372063 368061 364065 359065 360067 365070 371071
      372077 373084 373086 375087 385084 385081 387079 392080
      397078 401076 403070 409074 413073
 0.01 368941 368934 364934 359934 357936 349937 349926 348916
      348910 346905 345898 343891 336873 329859 322846 317842
      314841 310841 304846 301853 299863 297870 295874 293876
      286878 279880 270881 261884 258886 257889 259897 264903
      269909 273914 277919 281925 280931 278935 274942 270947
      266953 261958 256963 255970 259976 258982 255986 255993
      261997 267001 282006 293013 299019 305022 308026 309029
      310038 311044 309047 306055 304057 304062 306068 313074
      318075 320076 327080 333085 337092 339094 341092 341082
      341074 340069 341063 343054 342047 339039 338035 341032
      346030 349024 351021 351015 348006 344999 344987 345982
      346978 346972 348967 350967 352963 359952 368941
 0.25 522267 520258 518252 513238 512232 509226 504215 498209
      493204 490200 490194 495193 499190 504186 507185 511183
      511181 507174 500165 495163 489164 484164 479167 476197
      475200 473202 469205 465206 461204 457204 456209 455211
      451212 445211 440212 420209 420214 418212 411210 398204
      386201 382203 382209 383215 381218 377219 374217 368219
      366222 367226 369231 374235 381243 384246 385250 384258
      385261 388264 392265 399266 405266 415265 422265 428263
      439260 448257 459255 466256 473258 480260 484264 497285
      508291 513288 516284
 0.25 518188 518185 517185 516185 514186 513187 514188 515190
      517189 518188
 0.25 492240 492237 491233 490231 489228 486225 484224 481224
      479226 480229 482232 482237 485233 488235 489237 492240
      492240
 0.25 469172 470162 468157 465154 462156 464163 466170 463174
      453171 452165 447166 445170 444174 442179 438183 438189
      440196 442201 447192 451194 454190 463183 465181 466177
      469172
 0.25 445111 445108 444107 443106 442105 441105 439105 437106
      436107 436109 437110 438111 440111 442112 443112 445111
 0.25 332924 333913 333903 331895 329889 325881 321876 317872
      311871 308871 306873 303880 299893 295899 291903 285906
      286909 288912 290914 290918 289926 285939 281954 277968
      275984 274988 277991 280993 288997 294998 300997 306994
      314984 321975 324967 326959 328945 332924
 0.50 516272 518267 517262 516257 513245 510235 506226 503220
      500215 490210 487208 482206 478207 475209 442217 436218
      432218 428218 423220 420223 420227 417230 415227 416217
      413214 409215 405215 399208 395205 392204 389206 389210
      392214 395218 394222 389224 384222 380224 378228 386237
      391246 394249 398252 407256 418256 426254 443250 454249
      464249 473251 481256 489265 492268 494274 496278 500282
      506283 509282 514277 516272
 0.50 496247 495238 492230 488223 481220 474220 471222 469225
      466227 466230 472228 476227 480231 482238 485237 489238
      493243 496247
 0.50 459182 460180 459179 457178 456179 455182 457183 459182
      459182
 0.50 327930 328914 327906 326901 321890 318885 316883 309882
      305886 302895 296905 293908 292914 292921 290927 288937
      284948 282960 280973 280980 280987 284990 290991 293991
      298989 306983 312976 317967 321956 326932 327930
 1.00 503273 503268 502264 498257 490242 487240 484241 482243
      481239 479235 477232 474231 472234 469237 465237 462237
      458236 451235 447236 446238 448241 453241 460242 468243
      476246 483250 488256 495270 497273 500275 503273
 1.00 506245 505239 504234 502229 501225 498219 493219 492224
      493229 495233 497238 500242 503245 506245
 1.00 462223 462222 461220 460220 459219 459220 457222 458223
      460224 462224 462223
 1.00 444240 439239 433239 426238 420236 414236 408239 410242
      411245 414247 421247 427247 431246 436245 441242 444240
 1.00 413221 413219 412217 410218 409218 408220 407220 407222
      407224 406227 406229 406231 406232 407234 409234 410232
      410231 409230 410230 411228 412226 412224 413222 413221
 1.00 407241 406240 405238 403238 401238 399238 398239 399240
      401242 402242 403242 404242 406241 407241
 1.00 400216 400213 398211 396211 396212 396213 398215 399216
      400216
 1.00 321917 320906 317898 312895 308897 303903 298910 295918
      293923 293929 292935 290937 287942 286947 285958 284969
      285979 285982 287985 290985 294984 297981 303975 308969
      313961 316954 319942 320932 321917
 1.50 498268 498263 496257 495254 493248 490245 487242 486248
      488252 490255 493260 495265 498268 498268
 1.50 499235 499232 499229 498226 497225 497224 496222 494222
      494223 494225 495228 495229 496231 496233 497234 498235
      499235
 1.50 479241 479238 479237 478235 477235 476234 474234 473236
      473239 474239 475241 476242 478242 479241
 1.50 427242 426241 424241 422240 421240 419240 420242 420243
      422244 423244 425245 426244 427242 427242
 1.50 317930 318920 317911 315905 313902 310903 307909 305916
      301930 296943 294958 289972 290976 293977 297975 302969
      305963 309958 312954 315946 316939 317930
 1.50 291943 291941 291939 290939 289941 288942 288943 288945
      288947 287949 287952 288952 289952 289949 290947 290945
      291943
 2.00 492253 492252 491250 491249 489247 489249 489250 491250
      491253 492253 492253
 2.00 315922 315916 313911 310910 308913 307918 304928 303935
      300939 298952 295962 296966 298965 300960 302954 304952
      306954 308952 310946 313935 315922 315922 

24HR QP VT 21/00Z
 0.01 525254 519246 517241 516235 513225 508217 506205 509199
      511197 512200 520209 525217 528218 530217 533215 536211
      535206 532203 530199 527186 526179 523176 520172 513170
      506163 504156 506151 503147 498146 494142 491137 489134
      485132 482129 477128 471128 469134 466137 462135 460130
      456127 452129 451131 449126 453120 455115 457109 457106
      453098 450095 447095 442096 437097 433094 429096 429102
      424104 421104 420107 417111 414110 412108 411104 411101
      407093 405103 401106 398104 397107 394112 390114 390118
      391119 396118 404123 405126 411123 416125 418131 417139
      415143 400149 396147 392147 396158 396162 394165 390167
      385177 381181 375181 367184 357183 355186 357188 361193
      362196 360199 355200 350197 346192 344187 342177 339174
      335174 338183 340186 341191 343201 343215 342219 343225
      341239 347246 352247 357245 365241 371237 375235 379234
      378250 383259 390267 394271 399274 417281 427285 435289
      447293 453296 456302 457308 460312 466321 477336
 0.01 486030 483027 480027 469026 454017 449016 446014 440007
      435002 425001 422004 423008 427016 431025 433028 434035
      434042 435046 437052 439052 443048 444044 445038 443034
      444031 448029 455035 458040 461041 467041 469038 477034
      481032 484032 486030
 0.01 481922 479919 475917 472917 467920 465922 462927 460932
      460935 464938 469937 472935 476932 477929 479924 481922
 0.01 455081 454080 453078 451076 451075 450075 448075 446072
      445072 444075 444077 446080 447082 449083 451083 453083
      454083 455081
 0.01 440129 440127 439124 437122 435124 434124 432124 431125
      431128 430130 431132 433132 435132 436133 438131 440129
 0.01 426705 425703 423702 422701 421700 420700 418700 418699
      416699 414700 414701 413702 412704 412706 413707 415707
      417706 419706 420706 422707 424707 426706 426705
 0.01 415076 415071 412068 409065 405065 401069 398071 397076
      399076 403074 405072 408075 409077 413078 415076
 0.01 390797 389790 387789 384790 381793 379795 375796 372797
      368795 363791 361788 360782 360776 360772 359763 357754
      354747 351740 347738 344736 341737 336742 331748 328750
      323751 310746 308745 304745 301747 299749 298755 299766
      301774 303785 303790 303795 302799 304801 307806 309809
      309814 307820 307825 306830 296840 292845 286849 278857
      278862 280865 277873 274879 271886 277901 282910 280917
      279920 278926 270937 266943 266947 268949 273951 277950
      284949 294948 303948 310946 318944 326945 335952 339956
      349956 356945 370880 373863 373857 375855 378850 381844
      382841 382835 383829 383825 381816 379813 379809 383805
      390797
 0.25 521270 510231 504224 502217 499212 495209 491207 489203
      489198 490193 491188 489183 487180 484177 480178 477182
      476196 474202 472204 468205 462204 459205 455208 448211
      441212 437212 432210 426204 423202 419204 418207 415209
      406209 402211 400216 400223 396226 391230 389234 388241
      390250 394257 401262 410267 419270 427271 434275 445278
      454282 462287 470290 481294 489296 499296 505298 510298
 0.25 446111 446109 446107 444106 444105 442104 441104 439105
      438107 438109 439110 440111 442112 443112 445113 446111
 0.25 374221 375218 374216 372215 371214 369214 367214 365213
      364213 362213 361213 360213 359215 360215 360217 361219
      361220 362221 364221 366221 368222 369223 371224 373223
      373222 374221
 0.25 345767 345760 341758 335763 329766 323764 321764 318765
      315768 313772 312778 312788 313796 315802 319810 318821
      315830 309839 307848 300862 297863 295865 294870 291881
      285887 286891 289893 297898 297905 296910 295921 294928
      296932 296935 299937 302936 308930 316924 319922 323921
      330921 336921 342919 345917 348912 349906 350896 350888
      350880 348868 348856 350846 351840 350832 345822 340815
      338803 337797 339793 343784 345776 345767
 0.50 512287 514280 515273 516262 515256 513251 510244 509237
      507233 503227 499218 492213 487207 481203 475207 467209
      459209 454212 446215 439215 431215 428213 426214 420222
      418225 415224 415219 413217 411217 408219 406223 405227
      401230 397231 395235 393239 394244 394247 397250 404256
      412260 421263 428263 443258 446258 449259 456263 464266
      469271 481281 500288 504290 507290 512287
 0.50 339902 340895 339890 337880 337874 336869 331862 329858
      327857 323854 319853 316866 313873 307880 304882 300882
      301891 302896 301902 300912 298921 297925 298929 300930
      302929 304926 309920 315915 318913 322913 328912 331911
      337906 339902
 0.50 331783 331776 329772 326768 323769 320772 318776 317781
      317787 319793 321796 325798 328795 330792 331785 331783
 1.00 505279 506270 504263 496249 492244 488241 485241 482239
      479232 476230 472230 467230 466227 468223 468218 466217
      460216 455218 450223 444225 422231 410233 405238 403242
      404246 409251 414253 421254 427254 450246 456245 463246
      471251 476255 484264 493276 500280 503280 505279
 1.00 506250 505244 504239 503235 500232 497226 494225 494228
      496234 497237 500242 503245 506250 506250
 1.00 311899 312896 312894 312892 312890 311888 310890 309891
      309892 308894 308897 308898 307899 308900 309901 311899
      311899
 1.50 501272 500266 498262 496255 494251 490250 485248 480239
      477233 472233 466234 461231 452233 443236 438238 434239
      421235 417236 413237 410243 413248 422249 428250 432248
      439243 445243 450242 459242 465242 471244 486259 492268
      496273 499274 501272
 1.50 461223 460221 460220 459220 458222 458223 460223 461223
 2.00 478241 479239 479238 477235 476235 475235 474235 472235
      471236 471238 472239 473240 475241 476242 478241 478241
 2.00 464239 463237 462236 460236 458236 457236 456236 456237
      458238 460239 461239 463239 464239
 2.00 429245 429243 428241 427240 426239 424238 423238 421238
      420238 419238 417239 416239 415241 415242 415243 416245
      418246 420246 421246 423247 425247 426247 427247 429245
      429245


24HR QP VT 22/00Z
 0.01 525258 521250 520240 519234 520229 522228 524229 527231
      530229 531224 533221 534214 534204 532197 530188 526179
      523171 518167 516164 507152 502147 498141 493135 489128
      483122 476116 473108 470102 457094 450090 442089 436088
      425085 422086 421089 418097 415101 411099 408096 403102
      397107 392112 393117 397120 403123 402134 401140 398143
      394147 390151 391156 391160 383173 384177 384183 387189
      392195 395196 396198 395200 388199 385197 382193 380190
      376189 376194 378198 383204 386210 388214 387218 386222
      382222 377221 375219 369222 366242 367244 372246 379248
      397253 415258 419258 425259 432264 443272 446272 449270
      453263 456260 460261 469263 474267 477271 482277 487283
      489286 493289 499293 504292 508291 511287 513283 516281
 0.01 502993 500990 497987 494982 491980 487979 485982 485987
      487993 490996 493998 498998 501995 502993
 0.01 495097 494086 496082 497077 497071 496064 493055 489045
      485037 479029 474023 467017 464015 461017 458020 457025
      460033 466042 468046 463048 463053 463059 466061 468065
      476083 481092 486098 489100 493100 495097
 0.01 487894 483894 480896 472897 468895 466896 461897 458893
      456889 454886 446885 438889 432894 420907 415914 413917
      413924 416933 418940 417945 414953 415957 416961 419973
      421978 424982 426991 425001 425008 427011 432013 437009
      442004 450001 453000 457996 456993 452990 446985 443983
      438982 433980 430978 430966 431959 433957 437949 447932
      454930 457925 457920 458914 462913 465910 466913 465920
      467922 469922 474920 476917 480912 484904 487894
 0.01 451667 450664 448665 445668 442670 439674 436678 434681
      433686 436691 437689 441686 443681 445678 448674 450669
      451667
 0.01 434717 430701 426695 422689 420687 416686 412687 411690
      411696 412701 409703 407706 405710 403715 401724 401727
      402732 403734 408733 411728 412720 412711 414704 419707
      423714 427718 431723 434720 434717
 0.01 430061 430058 428058 427056 425058 426060 428061 430061
      430061
 0.01 419069 420065 418062 416059 407053 401052 397053 389059
      383060 380062 375065 374071 375077 375080 377081 381079
      383077 386079 390082 395085 404084 411079 417078 418071
      419069
 0.01 361743 359734 358731 357726 356720 354717 352708 348705
      341703 330704 324707 321709 319711 312723 308735 306748
      305755 306765 305784 302795 300801 296807 293811 288815
      284819 277823 269830 261840 259844 257852 256859 259866
      263870 267868 275861 279859 282859 286860 287864 287869
      287875 282878 278883 276889 277902 279909 283914 288919
      291918 293915 300906 306895 309880 310871 313865 315863
      319862 324861 328860 330857 333854 336848 337841 339833
      340823 339815 334815 330815 326813 326805 327801 329799
      335796 343792 347788 352778 357766 359759 360752 361743
 0.25 519265 519259 518255 515244 512233 508224 500209 499203
      498198 500194 502191 504190 507191 509194 515201 520204
      522203 523198 521187 518177 513171 507165 502160 497160
      494158 491154 490148 487136 485132 480131 475130 471130
      467130 464128 458124 456121 457116 458111 457107 455101
      453097 448095 442095 434095 427091 428095 427101 421105
      421109 418111 414112 410110 408106 404109 401111 401114
      404115 411120 428122 436120 440122 444122 450128 448132
      442131 433135 430137 427141 425145 422147 415150 410155
      408158 408163 410166 414169 416169 419166 423163 426167
      433173 436176 436180 435183 436194 436198 435201 428203
      424203 421206 418217 417220 415220 411218 407219 405223
      402227 399229 392231 389233 389236 394242 401247 405248
      410248 416249 422251 430256 435258 439258 446255 451252
      457249 465249 475250 479253 482257 487266 491273 496280
      499283 504285 507284 509280 519265
 0.25 470198 472196 472193 471191 470190 468188 467187 465189
      464190 464191 462193 462196 464198 465199 467200 467199
      469198 470198 470198
 0.25 414073 412069 410064 405064 402061 398064 395066 394069
      397073 401074 403070 407072 411074 414073
 0.25 414064 414063 412063 411064 412066 414066 414064
 0.25 346730 344721 342718 339716 336719 334723 332730 328736
      324741 317746 315753 315772 314782 315788 316792 319791
      326787 330781 335776 340770 343763 345756 346747 347738
      346730
 0.25 316821 314815 310816 305820 300823 296828 297832 301837
      305840 310838 314835 316828 316821
 0.50 514264 516259 515254 513247 511239 509232 503223 498211
      495206 490201 485199 481196 478197 470202 465204 459204
      455201 454196 456191 460187 464183 469180 475183 478184
      481184 486182 490179 492176 492173 490165 487159 471145
      462137 455138 449141 444141 440138 435139 432144 430147
      430151 432158 436165 441168 443173 441180 440184 440189
      441194 442198 442202 438207 431208 427209 425210 423215
      420224 417227 412227 408230 404236 402238 401242 409245
      422249 435252 440251 444250 456246 467245 471245 477247
      482250 486256 492269 496274 499278 505279 506271 508267
      511265 514264
 0.50 491237 490234 490233 489231 488231 487229 485229 483229
      482232 483232 484233 486234 488234 489235 491237 491237
 0.50 485136 484135 482134 482133 481132 480132 479133 477134
      476134 474135 473136 474138 475138 477138 479138 480139
      482139 484138 485136
 0.50 449114 450107 449101 444099 439099 436100 432103 429106
      428110 429113 433114 436114 441115 445116 448114 449114
 0.50 338753 338744 334746 329750 323752 320757 321765 322769
      324774 329771 332766 336762 338756 338753
 1.00 507248 501228 494212 489207 485204 481203 475204 468207
      452209 445209 438211 431213 427216 424219 423227 423232
      418232 412235 410239 412242 420246 428247 435246 443244
      457243 465242 470241 474243 479245 483245 487251 491260
      496268 499270 500266 500261 498256 493250 488241 481237
      476231 473229 472226 474223 477221 482223 489226 495233
      502243 504247 507248
 1.00 474164 475158 473153 469149 463146 457147 451148 445149
      439145 436145 435148 434153 435157 438161 445166 447172
      448176 447180 444185 446188 451189 455186 460183 462180
      463176 458171 458168 459165 461162 466163 471166 474164
 1.50 492219 491214 488210 483207 478206 469209 462210 443213
      433215 428218 426222 426225 429231 429235 425236 420235
      416237 415239 416241 420244 426245 431244 438243 442241
      448241 456241 465239 467235 467230 473221 476219 481220
      489221 492219
 1.50 480241 480239 479237 478236 477235 476234 475235 474235
      472236 473238 474239 475240 476241 478242 480241 480241
 1.50 459180 459179 457178 456178 455179 457181 459180 459180
 1.50 454164 455162 455159 454158 453157 451157 449158 448160
      449163 450165 452166 454165 454164
 2.00 485215 485212 482210 476209 471212 467212 455213 444214
      433217 429220 427223 428226 433230 438230 449228 455227
      461228 465226 469222 471219 474218 478218 484217 485215
 2.00 463236 463233 462233 461232 459231 457231 455232 454232
      453233 452234 450235 449237 451239 453239 454239 456239
      457239 458239 460239 461238 462237 463236
 2.00 441239 441237 441236 439236 437237 435237 433238 432239
      433240 435241 436240 437240 438240 440239 441239
 2.00 431241 430240 428240 426239 424238 423238 421237 419237
      418240 419240 420242 422243 424243 426243 427242 428241
      429241 431241
 3.00 461223 461218 459216 454216 449217 442217 438220 433222
      431224 434226 439225 444225 450224 455223 461223