93-Np-236 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 9.32360E+4 2.34019E+2 2 1 0 19343 1451 1 0.0 1.00000E+0 0 0 0 69343 1451 2 1.00000E+0 2.00000E+7 8 0 10 69343 1451 3 1.80000E+3 0.0 1 0 264 309343 1451 4 93-NP-236 ORNL-JAERI EVAL-DEC99 R. Q. WRIGHT, T. NAKAGAWA 9343 1451 5 DIST-SEP 1 20011018 9343 1451 6 ----ENDF/B-VI MATERIAL 9343 9343 1451 7 -----INCIDENT NEUTRON DATA 9343 1451 8 ------ENDF-6 FORMAT 9343 1451 9 9343 1451 10 **************************************************************** 9343 1451 11 9343 1451 12 ENDF/B-VI MOD 2 Revision, December 1999, R.Q. Wright (ORNL) 9343 1451 13 9343 1451 14 The JENDL-3.2 evaluation was adopted and updated. 9343 1451 15 9343 1451 16 MF=1 9343 1451 17 MT=452 TOTAL NUBAR-- Thermal value based on Mughabghab 9343 1451 18 [Mu84]; values at 5.5, 7.0, and 20.0 MeV taken from the 9343 1451 19 JENDL evaluation. The thermal nubar value from Mughabghab 9343 1451 20 is given as 3.12 +/- 0.14. 9343 1451 21 MT=455 Unchanged from the JENDL-3.2 evaluation 9343 1451 22 MT=456 Calculated as total nubar - delayed. 9343 1451 23 9343 1451 24 MF=2 RESONANCE PARAMETERS-- MLBW formalism used. 9343 1451 25 The resolved resonance range is 0.00001 to 21.9 eV. 9343 1451 26 The resonance parameter evaluation is based on the 9343 1451 27 measurements of Danon [Da96]. The first 24 resonances, 9343 1451 28 up to 22.08 eV, are taken from Table II of this reference. 9343 1451 29 There are also 8 fictitious in the energy range 24 to 33 9343 1451 30 eV. These resonances are used only to calculate 9343 1451 31 contributions to the cross sections below 21.9 eV. 9343 1451 32 The capture width = 0.040 eV for all resonances. 9343 1451 33 The resulting parameters give a very good fit to the 9343 1451 34 fission cross section for the energy range below 21.9 eV. 9343 1451 35 9343 1451 36 2200-m/s cross sections and resonance integrals 9343 1451 37 2200 m/s value Res. Int. 9343 1451 38 Total 3147.22 b - 9343 1451 39 Elastic 10.06 b - 9343 1451 40 Fission 3011.30 b 1358 b 9343 1451 41 Capture 125.86 b 141 b 9343 1451 42 9343 1451 43 MF=3 NEUTRON CROSS SECTIONS 9343 1451 44 MT=1 TOTAL CROSS SECTION 9343 1451 45 For the energy range 21.9 eV to 20 keV, the total cross 9343 1451 46 section is calculated as sum of the revised values of MT = 2, 9343 1451 47 18 and 102. 9343 1451 48 Above 20 keV, the total is unchanged from the JENDL-3.2 9343 1451 49 evaluation. The revised total is almost the same as the 9343 1451 50 JENDL-3.2 evaluation above 100 eV. 9343 1451 51 9343 1451 52 Total cross section = 142.20 barns at 21.9 eV. 9343 1451 53 9343 1451 54 MT=2 ELASTIC SCATTERING CROSS SECTION 9343 1451 55 Elastic cross section = 12.20 barns at 21.9 eV, and is 9343 1451 56 unchanged from the JENDL-3.2 evaluation above 21.9 eV. 9343 1451 57 9343 1451 58 MT=18 FISSION CROSS SECTION 9343 1451 59 The fission is revised below 1 keV to join smoothly with 9343 1451 60 the resolved resonance range. It is unchanged above 1 keV. 9343 1451 61 9343 1451 62 Fission cross section = 120.0 barns at 21.9 eV, based on 9343 1451 63 the average fission from 4 to 20 eV as calculated from the 9343 1451 64 resolved resonance parameters. 9343 1451 65 Average fission cross section = 171.3 barns for the 9343 1451 66 energy range 4.0 to 20 eV. 9343 1451 67 9343 1451 68 MT=102 CAPTURE CROSS SECTION 9343 1451 69 The capture cross section is revised below 20 keV to join 9343 1451 70 smoothly with the resolved resonance range. It is unchanged 9343 1451 71 above 20 keV. 9343 1451 72 9343 1451 73 Capture cross section = 10.0 barns at 21.9 eV, based on 9343 1451 74 the average capture from 4 to 20 eV (resolved resonance 9343 1451 75 range). 9343 1451 76 9343 1451 77 ---------------------------------------------------------------- 9343 1451 78 9343 1451 79 REFERENCES 9343 1451 80 9343 1451 81 [Da96] Y. Danon et al. Nucl.Sci.Eng. 124, 482 (1996). 9343 1451 82 [Mu84] S.F. Mughabghab, Neutron Cross Sections, Vol. 1, Part B 9343 1451 83 (Academic Press, 1984). 9343 1451 84 9343 1451 85 **************************************************************** 9343 1451 86 9343 1451 87 JENDL-3.2 COMMENTS FOLLOW-- 9343 1451 88 9343 1451 89 HISTORY 9343 1451 90 93-03 NEW EVALUATION WAS MADE FOR JENDL-3.2. 9343 1451 91 9343 1451 92 MF=1 GENERAL INFORMATION 9343 1451 93 MT=451 DESCRIPTIVE DATA AND DICTIONARY 9343 1451 94 MT=452 TOTAL NUMBER OF NEUTRONS PER FISSION 9343 1451 95 SUM OF NU-P (MT=456) AND NU-D (MT=455). 9343 1451 96 MT=455 DELAYED NEUTRON DATA 9343 1451 97 DETERMINED FROM SYSTEMATICS BY TUTTLE/1/, BENEDETTI/2/ AND 9343 1451 98 WALDO ET AL./3/ DECAY CONSTANTS WERE TAKEN FROM THE EVALU- 9343 1451 99 ATION FOR NP-238 BY BRADY AND ENGLAND/4/. 9343 1451 100 MT=456 NUMBER OF PROMPT NEUTRONS 9343 1451 101 BASED ON THE DATA BY LINDNER AND SEEGMILLER /5/ AND 9343 1451 102 HOWERTON'S SYSTEMATICS/6/. 9343 1451 103 9343 1451 104 MF=2 RESONANCE PARAMETERS 9343 1451 105 MT=151 NO RESONANCE PARAMETERS ARE GIVEN. 9343 1451 106 9343 1451 107 THERMAL CROSS SECTIONS AND CALCULATED RES. INTEGRAL (BARNS) 9343 1451 108 0.0253 EV RESONANCE INTEGRAL 9343 1451 109 TOTAL 3483. - 9343 1451 110 ELASTIC 12.27 - 9343 1451 111 FISSION 2770. 1030 9343 1451 112 CAPTURE 701. 259 9343 1451 113 9343 1451 114 MF=3 NEUTRON CROSS SECTIONS 9343 1451 115 BELOW 20 KEV 9343 1451 116 ============ 9343 1451 117 MT= 1 TOTAL CROSS SECTION 9343 1451 118 SUM OF PARTIAL CROSS SECTIONS. 9343 1451 119 9343 1451 120 MT= 2 ELASTIC SCATTERING CROSS SECTION 9343 1451 121 CALCULATED WITH OPTICAL MODEL CODE CASTHY/7/. 9343 1451 122 9343 1451 123 MT= 18 FISSION CROSS SECTION 9343 1451 124 BASED ON THE DATA MEASURED BY VAL'SKIY ET AL./8/ 9343 1451 125 9343 1451 126 MT= 102 CAPTURE CROSS SECTION 9343 1451 127 CAPTURE-TO-FISSION RATIO WAS ASSUMED TO BE 0.253 THAT WAS 9343 1451 128 OBTAINED FROM THE CAPTURE CROSS SECTION CALCULATED AT 20 KEV9343 1451 129 AND THE FISSION CROSS SECTION. 9343 1451 130 9343 1451 131 ABOVE 20 KEV 9343 1451 132 ============ 9343 1451 133 MT= 1 TOTAL CROSS SECTION 9343 1451 134 CALCULATED WITH OPTICAL MODEL CODE CASTHY/7/. PARAMETERS 9343 1451 135 ARE LISTED IN TABLE 1. 9343 1451 136 9343 1451 137 MT= 2 ELASTIC SCATTERING CROSS SECTION 9343 1451 138 TOTAL - (SUM OF PARTIAL CROSS SECTIONS) 9343 1451 139 9343 1451 140 MT= 16, 17 (N,2N) AND (N,3N) CROSS SECTIONS 9343 1451 141 CALCULATED FROM A FORMULA GIVEN BY SAGEV AND CANER/9/. 9343 1451 142 THE REACTION CROSS SECTIONS CALCULATED WITH CASTHY WAS 9343 1451 143 ADOPTED AS THE NON-ELASTIC SCATTERING CROSS SECTION. 9343 1451 144 9343 1451 145 MT= 18 FISSION CROSS SECTION 9343 1451 146 ABOVE 5 MEV, A SIMPLE FORMULA BY BYCHKOV ET AL./9/ WAS USED.9343 1451 147 EXPERIMENTAL DATA OF BRITT AND WILHELMY/10/ AND SYSTEMA- 9343 1451 148 TICS/11/ WERE CONSIDERED. THE CROSS-SECTION CURVE WAS 9343 1451 149 SMOOTHLY CONNECTED AT 20 KEV TO THE DATA OF VAL'SKIY ET 9343 1451 150 AL./8/ 9343 1451 151 9343 1451 152 MT= 4, 51-54, 91 INELASTIC SCATTERING CROSS SECTION 9343 1451 153 CALCULATED WITH CASTHY (OPTICAL AND STATISTICAL MODEL). 9343 1451 154 PARAMETERS USED ARE LISTED IN TABLES 1, 2 AND 3. THE LEVEL 9343 1451 155 SCHEME WAS TAKEN FROM EVALUATION BY SCHMORAK/12,13/. 9343 1451 156 9343 1451 157 MT= 102 CAPTURE CROSS SECTION 9343 1451 158 CALCULATED WITH CASTHY. AVERAGE CAPTURE WIDTH AND LEVEL 9343 1451 159 SPACING WAS ASSUMED TO BE 0.035 EV AND 0.11EV, RESPECTIVELY.9343 1451 160 DIRECT AND SEMI-DIRECT CAPTURE WAS CALCULATED FROM A SIMPLE 9343 1451 161 FORMULA OF BENZI AND REFFO/14/. 9343 1451 162 9343 1451 163 MT= 251 MU-L 9343 1451 164 CALCULATED WITH CASTHY 9343 1451 165 9343 1451 166 MF=4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 9343 1451 167 MT= 2, 51-54, 91 9343 1451 168 CALCULATED WITH CASTHY 9343 1451 169 9343 1451 170 MT=16, 17, 18 9343 1451 171 ASSUMED TO BE ISOTROPIC IN THE LABORATORY SYSTEM. 9343 1451 172 9343 1451 173 MF=5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS 9343 1451 174 MT=16, 17, 91 9343 1451 175 EVAPORATION SPECTRA OBTAINED FROM THE LEVEL DENSITY 9343 1451 176 PARAMETERS WERE GIVEN. 9343 1451 177 MT=18 9343 1451 178 EVAPORATION SPECTRA. TEMPERATURE WAS DETERMINED FROM 9343 1451 179 SYSTEMATICS BY SMITH ET AL./15/ 9343 1451 180 9343 1451 181 TABLE 1 OPTICAL POTENTIAL PARAMETERS 9343 1451 182 DETERMINED BY MURATA/16/ EXCEPT A CONSTANT TERM OF V9343 1451 183 THAT WAS SELECTED SO AS TO REPRODUCE S0 OF 1.0E-4. 9343 1451 184 ------------------------------------------------------------- 9343 1451 185 V = 40.5 - 0.05*E (MEV) 9343 1451 186 WS = 6.5 + 0.15*E (MEV): DERRIVATIVE WOOD-SAXON TYPE 9343 1451 187 VSO = 7.0 (MEV) 9343 1451 188 R0 = RSO = 1.32, RS = 1.38 (FM) 9343 1451 189 A = B = ASO = 0.47 (FM) 9343 1451 190 ------------------------------------------------------------- 9343 1451 191 9343 1451 192 TABLE 2 LEVEL SCHEME OF NP-236 /12,13/ 9343 1451 193 ------------------------------------------------------------- 9343 1451 194 NO. ENERGY(MEV) SPIN-PARITY 9343 1451 195 ------------------------------------------------------------- 9343 1451 196 G.S 0.0 6 - 9343 1451 197 1 0.060 1 + 9343 1451 198 2 0.231 3 - 9343 1451 199 3 0.273 4 - 9343 1451 200 4 0.324 5 - 9343 1451 201 ------------------------------------------------------------- 9343 1451 202 LEVELS ABOVE 0.370 MEV WERE ASSUMED TO BE OVERLAPPING. 9343 1451 203 9343 1451 204 TABLE 3 LEVEL DENSITY PARAMETERS FOR GILBERT AND CAMERON 9343 1451 205 FORMULA, BASED ON THE EXCITED LEVELS GIVEN IN ENSDF. 9343 1451 206 9343 1451 207 ------------------------------------------------------------- 9343 1451 208 PAIRING SPIN-CUTOFF F. 9343 1451 209 A(1/MEV) T(MEV) ENERGY(MEV) (MEV**0.5) EX(MEV) 9343 1451 210 ------------------------------------------------------------- 9343 1451 211 NP-234* 27.16 0.0 17.57 3.1410 9343 1451 212 NP-235 31.4 0.35 0.57 31.16 3.2900 9343 1451 213 NP-236 28.0 0.35 0.0 29.50 2.2579 9343 1451 214 NP-237 29.6 0.39 0.49 30.42 3.7161 9343 1451 215 ------------------------------------------------------------- 9343 1451 216 * TAKEN FROM GILBERT AND CAMERON/17/ 9343 1451 217 9343 1451 218 REFERENCES 9343 1451 219 1) R.J.TUTTLE: INDC(NDS)-107/G+SPECIAL, P.29 (1979). 9343 1451 220 2) G.BENEDETTI, ET AL.: NUCL. SCI. ENG., 80, 379 (1982). 9343 1451 221 3) R.WALDO ET AL.: PHYS. REV., C23, 1113 (1981). 9343 1451 222 4) M.C.BRADY AND T.R.ENGLAND: NUCL. SCI. ENG., 103, 129 (1989). 9343 1451 223 5) M.LINDNER AND D.W.SEEGMILLER: RADIOCHIMICA ACTA, 49, 1(1990). 9343 1451 224 6) R.J.HOWERTON: NUCL. SCI. ENG., 62, 438 (1977). 9343 1451 225 7) S.IGARASI AND T.FUKAHORI: JAERI 1321 (1991). 9343 1451 226 8) G.V.VAL'SKIY ET AL.: PROC. 1ST INT. CONF. ON NEUTRON PHYSICS, 9343 1451 227 KIEV 1987, VOL. 3, P.99 (1987). DATA WERE TAKEN FROM EXFOR 9343 1451 228 40995 9343 1451 229 9) V.M.BYCHKOV ET AL.: INDC(CCP)-184/L (1982). 9343 1451 230 10) H.C.BRITT AND J.B.WILHELMY: NUCL. SCI. ENG., 72, 222 (1979). 9343 1451 231 11) J.W.BEHRENS AND R.J.HOWERTON: NUCL. SCI. ENG., 65, 464 (1978).9343 1451 232 12) M.R.SCHMORAK: NUCLEAR DATA SHEETS, 63, 139 (1991). 9343 1451 233 13) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE, BNL/NNDC, AS OF 9343 1451 234 JAN. 1993. 9343 1451 235 14) V.BENZI AND G.REFFO: CCDN-NW/10 (1969). 9343 1451 236 15) A.B.SMITH ET AL.: ANL/NDM-50 (1979). 9343 1451 237 16) H.MATSUNOBU ET AL.: PROC. IN. CONF. ON NUCLEAR CROSS SECTIONS 9343 1451 238 FOR TECHNOL., KNOXVILLE, 1979, P.715 (1980). 9343 1451 239 17) A.GILBERT AND A.G.W.CAMERON: CAN. J. PHYS., 43, 1446 (1965). 9343 1451 240 9343 1451 241 ************************ C O N T E N T S *********************** 9343 1451 242 ***************** Program LINEAR (VERSION 2004-1) ***************9343 1451 243 For All Data Greater than 1.0000E-10 barns in Absolute Value 9343 1451 244 Data Linearized to Within an Accuracy of .100000000 per-cent 9343 1451 245 ***************** Program RECENT (VERSION 2004-1) ***************9343 1451 246 for All Data Greater than 1.0000E-10 barns in Absolute Value 9343 1451 247 Data Linearized to within an Accuracy of .100000000 per-cent 9343 1451 248 ***************** Program SIGMA1 (VERSION 2004-1) ***************9343 1451 249 Data Doppler Broadened to 1800.00000 Kelvin 9343 1451 250 for All Data Greater than 1.0000E-10 barns in Absolute Value 9343 1451 251 Data Linearized to Within an Accuracy pf .100000000 per-cent 9343 1451 252 ***************** Program FIXUP (Version 2004-1) ****************9343 1451 253 Corrected ZA/AWR in All Sections-----------------------------Yes 9343 1451 254 Corrected Thresholds-----------------------------------------No 9343 1451 255 Extended Cross Sections to 20 MeV----------------------------No 9343 1451 256 Allow Cross Section Deletion---------------------------------No 9343 1451 257 Allow Cross Section Reconstruction---------------------------Yes 9343 1451 258 Make All Cross Sections Non-Negative-------------------------Yes 9343 1451 259 Delete Energies Not in Ascending Order-----------------------Yes 9343 1451 260 Deleted Duplicate Points-------------------------------------Yes 9343 1451 261 Check for Ascending MAT/MF/MT Order--------------------------Yes 9343 1451 262 Check for Legal MF/MT Numbers--------------------------------Yes 9343 1451 263 Allow Creation of Missing Sections---------------------------No 9343 1451 264 Allow Insertion of Energy Points-----------------------------No 9343 1451 265 Create Uniform Energy Grid-----------------------------------No 9343 1451 266 Delete Section if Cross Section =0 at All Energies-----------Yes 9343 1451 267 **************** Program DICTIN (VERSION 2004-1) ****************9343 1451 268 1 451 298 19343 1451 269 1 452 5 19343 1451 270 1 455 7 19343 1451 271 1 456 5 19343 1451 272 2 151 37 19343 1451 273 3 1 735 19343 1451 274 3 2 125 19343 1451 275 3 4 106 19343 1451 276 3 16 11 19343 1451 277 3 17 8 19343 1451 278 3 18 261 19343 1451 279 3 51 56 19343 1451 280 3 52 39 19343 1451 281 3 53 39 19343 1451 282 3 54 40 19343 1451 283 3 91 31 19343 1451 284 3 102 341 19343 1451 285 4 2 230 19343 1451 286 4 16 10 19343 1451 287 4 17 10 19343 1451 288 4 18 10 19343 1451 289 4 51 30 19343 1451 290 4 52 30 19343 1451 291 4 53 30 19343 1451 292 4 54 30 19343 1451 293 4 91 30 19343 1451 294 5 16 17 19343 1451 295 5 17 22 19343 1451 296 5 18 7 19343 1451 297 5 91 10 19343 1451 298 9343 1 0 299 9.32360E+4 2.34019E+2 0 2 0 09343 1452 300 0.0 0.0 0 0 1 49343 1452 301 4 2 9343 1452 302 1.00000E-5 3.12000000 .025300000 3.12000000 7000000.00 3.879000009343 1452 303 20000000.0 5.27000000 9343 1452 304 9343 1 0 305 9.32360E+4 2.34019E+2 0 2 0 09343 1455 306 0.0 0.0 0 0 6 09343 1455 307 1.36000- 2 3.08000- 2 1.18900- 1 3.07700- 1 8.98800- 1 2.96760+ 09343 1455 308 0.0 0.0 0 0 1 59343 1455 309 5 2 9343 1455 310 1.00000E-5 .007050000 .025300000 .007050000 5500000.00 .0070500009343 1455 311 7000000.00 .004850000 20000000.0 .004850000 9343 1455 312 9343 1 0 313 9.32360E+4 2.34019E+2 0 2 0 09343 1456 314 0.0 0.0 0 0 1 49343 1456 315 4 2 9343 1456 316 1.00000E-5 3.11295000 .025300000 3.11295000 7000000.00 3.874150009343 1456 317 20000000.0 5.26515000 9343 1456 318 9343 1 0 319 9343 0 0 320 9.32360E+4 2.34019E+2 0 0 1 09343 2151 321 9.32360E+4 1.00000E+0 0 0 1 09343 2151 322 1.00000E-5 2.19000E+1 1 2 0 09343 2151 323 6.00000E+0 9.83000E-1 0 0 1 09343 2151 324 2.34019E+2 0.0 0 0 192 329343 2151 325 -1.41000000 5.50000000 7.04866200 .002661800 .040000000 7.006000009343 2151 326 .200000000 6.50000000 .377730000 3.06430E-5 .040000000 .3377000009343 2151 327 .700000000 6.50000000 .129250000 5.10710E-5 .040000000 .0892000009343 2151 328 2.03000000 5.50000000 .381390000 .000187420 .040000000 .3412000009343 2151 329 2.39000000 5.50000000 .230770000 7.47500E-5 .040000000 .1907000009343 2151 330 2.67000000 5.50000000 .320660000 .000158170 .040000000 .2805000009343 2151 331 2.80000000 6.50000000 .309610000 .000105860 .040000000 .2695000009343 2151 332 3.07000000 6.50000000 .333530000 .000128140 .040000000 .2934000009343 2151 333 3.38000000 5.50000000 .514050000 .000150580 .040000000 .4739000009343 2151 334 4.99000000 6.50000000 .955600000 .000403000 .040000000 .9152000009343 2151 335 6.03000000 5.50000000 .236940000 .000237250 .040000000 .1967000009343 2151 336 6.96000000 6.50000000 .686940000 .000643500 .040000000 .6463000009343 2151 337 7.90000000 5.50000000 .333400000 .000201500 .040000000 .2932000009343 2151 338 9.62000000 6.50000000 2.07870000 .002065100 .040000000 2.036600009343 2151 339 11.9500000 6.50000000 .716440000 .001442100 .040000000 .6750000009343 2151 340 12.3600000 6.50000000 .154730000 .000529290 .040000000 .1142000009343 2151 341 12.7200000 5.50000000 .318820000 .001220900 .040000000 .2776000009343 2151 342 14.4800000 6.50000000 .882770000 .003368900 .040000000 .8394000009343 2151 343 15.4700000 6.50000000 .590010000 .001012100 .040000000 .5490000009343 2151 344 16.2500000 5.50000000 .919450000 .002645500 .040000000 .8768000009343 2151 345 17.8800000 6.50000000 .692820000 .001115200 .040000000 .6517000009343 2151 346 19.2000000 5.50000000 1.24070000 .002215400 .040000000 1.198500009343 2151 347 20.2800000 6.50000000 1.18440000 .001581400 .040000000 1.142800009343 2151 348 22.0800000 5.50000000 .824480000 .001480900 .040000000 .7830000009343 2151 349 22.7200000 6.50000000 .319000000 .001398400 .040000000 .2776000009343 2151 350 24.4800000 6.50000000 .883780000 .004380100 .040000000 .8394000009343 2151 351 25.4700000 5.50000000 .590520000 .001516700 .040000000 .5490000009343 2151 352 26.2500000 6.50000000 .919680000 .002882300 .040000000 .8768000009343 2151 353 27.8800000 6.50000000 .693090000 .001392900 .040000000 .6517000009343 2151 354 29.2000000 5.50000000 1.24120000 .002730000 .040000000 1.198500009343 2151 355 30.2800000 5.50000000 1.18510000 .002254400 .040000000 1.142800009343 2151 356 32.0800000 6.50000000 .824530000 .001530300 .040000000 .7830000009343 2151 357 9343 2 0 358 9343 0 0 359 9.32360E+4 2.34019E+2 0 0 0 09343 3 1 360 0.0 0.0 0 0 1 21969343 3 1 361 2196 2 9343 3 1 362 1.00000E-5 152859.205 1.08624E-5 146665.944 1.17903E-5 140776.4019343 3 1 363 1.28071E-5 135072.857 1.39012E-5 129648.754 1.51000E-5 124396.0399343 3 1 364 1.63900E-5 119400.758 1.78034E-5 114563.264 1.93243E-5 109962.8859343 3 1 365 2.09909E-5 105507.532 2.27840E-5 101271.094 2.47489E-5 97168.06769343 3 1 366 2.68630E-5 93266.4237 2.91798E-5 89487.6984 3.16724E-5 85894.55229343 3 1 367 3.44039E-5 82414.6057 3.73428E-5 79105.4664 4.05633E-5 75900.65639343 3 1 368 4.40284E-5 72853.1031 4.78255E-5 69901.6238 5.19109E-5 67095.03449343 3 1 369 5.63878E-5 64376.9257 6.12047E-5 61792.2024 6.64831E-5 59288.97209343 3 1 370 7.21623E-5 56908.6293 7.83857E-5 54603.3314 8.50817E-5 52411.16719343 3 1 371 9.24194E-5 50288.1139 .000100314 48269.3096 .000108965 46314.24389343 3 1 372 .000118274 44454.9540 .000128474 42654.3696 .000139449 40942.22279343 3 1 373 .000151475 39284.0231 .000164414 37707.2735 .000178594 36180.21699343 3 1 374 .000193850 34728.1943 .000199320 34268.0410 .000210568 33321.91709343 3 1 375 .000222451 32438.4623 .000228555 31984.6961 .000248267 30689.62289343 3 1 376 .000269474 29458.2268 .000277078 29067.9982 .000292714 28265.65399343 3 1 377 .000309233 27516.4501 .000317719 27131.6109 .000345120 26033.35999343 3 1 378 .000374601 24989.0940 .000385171 24658.1883 .000406908 23977.75139343 3 1 379 .000429871 23342.4291 .000441667 23016.0960 .000479757 22084.81539343 3 1 380 .000520740 21199.2663 .000535434 20918.6605 .000565650 20341.68979343 3 1 381 .000597571 19802.9886 .000613970 19526.2618 .000666920 18736.57259343 3 1 382 .000723890 17985.7289 .000744316 17747.8128 .000786320 17258.60529343 3 1 383 .000830694 16801.8508 .000853490 16567.2242 .000927097 15897.68459343 3 1 384 .001006293 15261.1054 .001063081 14857.7080 .001093078 14644.64309343 3 1 385 .001186453 14058.5113 .001219930 13872.8019 .001288775 13490.93039343 3 1 386 .001398867 12951.2726 .001519507 12428.7198 .001605258 12100.49259343 3 1 387 .001649310 11931.8902 .001791549 11450.8257 .001840713 11303.88529343 3 1 388 .001944590 10993.4484 .002112295 10550.5923 .002170261 10415.32979343 3 1 389 .002292735 10129.5667 .002490465 9721.91018 .002558809 9597.408509343 3 1 390 .002703210 9334.37996 .002936340 8959.17946 .003102046 8723.538959343 3 1 391 .003187173 8602.49627 .003462041 8257.18215 .003757782 7928.951969343 3 1 392 .004081860 7611.19587 .004430548 7309.17904 .004680577 7117.869959343 3 1 393 .004812647 7016.82622 .005223761 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.000248267 1149.53550 .000269474 1103.47046 .000292714 1058.860739343 3102 1838 .000317719 1016.44339 .000345120 975.367893 .000374601 936.3134939343 3102 1839 .000406908 898.493793 .000441667 862.535640 .000479757 827.7168369343 3102 1840 .000520740 794.610579 .000565650 762.554022 .000613970 732.0770259343 3102 1841 .000666920 702.566216 .000723890 674.510618 .000786320 647.3459489343 3102 1842 .000853490 621.521323 .000927097 596.517466 .001006293 572.7487859343 3102 1843 .001093078 549.737122 .001186453 527.862944 .001288775 506.6867379343 3102 1844 .001398867 486.558792 .001519507 467.074419 .001649310 448.5562159343 3102 1845 .001791549 430.632403 .001944590 413.598174 .002112295 397.1126459343 3102 1846 .002292735 381.447430 .002490465 366.288177 .002703210 351.8857479343 3102 1847 .002936340 337.950822 .003187173 324.713290 .003462041 311.9074129343 3102 1848 .003757782 299.745990 .004081860 287.983040 .004430548 276.8145829343 3102 1849 .004812647 266.015690 .005223761 255.764991 .005674268 245.8566089343 3102 1850 .006158986 236.454722 .006690148 227.370870 .007261646 218.7541289343 3102 1851 .007887904 210.433122 .008561718 202.544637 .009300097 194.9310189343 3102 1852 .010094547 187.718277 .010965119 180.761869 .011901801 174.1772009343 3102 1853 .012928235 167.832108 .014032614 161.832552 .015242812 156.0581059343 3102 1854 .016544912 150.604346 .017971775 145.362501 .019506993 140.4202729343 3102 1855 .021189312 135.679257 .022999384 131.219291 .024798654 127.3247769343 3102 1856 .025300000 126.322489 .028236082 121.058011 .031512899 116.1828089343 3102 1857 .035169992 111.683332 .039251494 107.546202 .043806657 103.7609099343 3102 1858 .048890449 100.325430 .054564219 97.2362961 .060896434 94.49039299343 3102 1859 .067963507 92.0822370 .075850718 89.9995572 .084653246 88.22227229343 3102 1860 .097143132 86.3858150 .114534937 84.6437652 .154847845 81.54685859343 3102 1861 .172818043 79.7510887 .187722189 77.8552975 .203021840 75.48730229343 3102 1862 .220530817 72.2845680 .239369403 68.3753324 .290187754 57.04390139343 3102 1863 .306563920 53.6333633 .323864242 50.3480869 .337446327 48.04482469343 3102 1864 .351529963 45.9411606 .366408381 44.0530262 .376607204 42.96449259343 3102 1865 .387085905 42.0247445 .397860278 41.2511529 .408930324 40.66469639343 3102 1866 .419869322 40.2991473 .432028268 40.1533415 .442233594 40.25443189343 3102 1867 .451462109 40.5330390 .460690623 41.0023266 .470439931 41.72262159343 3102 1868 .480189239 42.6964002 .490121941 43.9793111 .500421431 45.66086489343 3102 1869 .507287758 47.0067194 .514154085 48.5549374 .521407899 50.43578039343 3102 1870 .528661714 52.5996818 .535915528 55.0834793 .543169342 57.92992639343 3102 1871 .548916719 60.4750769 .554664096 63.3063386 .560411473 66.45419089343 3102 1872 .566158849 69.9518701 .571906225 73.8350632 .577869830 78.31204639343 3102 1873 .583941549 83.3822509 .590013267 89.0127281 .596084985 95.24311099343 3102 1874 .602156703 102.104689 .608189233 109.564706 .614143387 117.5545299343 3102 1875 .620097541 126.141066 .626051694 135.268107 .633990565 148.1135589343 3102 1876 .654116250 181.667938 .660578750 191.680693 .667364375 201.1510979343 3102 1877 .672695938 207.575770 .678027500 212.900576 .682874375 216.6490719343 3102 1878 .687721250 219.254849 .692810469 220.684185 .694668438 220.8627609343 3102 1879 .700129250 220.314645 .704911500 218.533256 .710663125 214.8459869343 3102 1880 .715510000 210.518962 .721972500 203.207966 .729081250 193.4678809343 3102 1881 .736190000 182.389474 .745883750 165.966983 .762040000 137.8965999343 3102 1882 .769148750 126.104956 .776257500 114.976022 .783366250 104.6390669343 3102 1883 .788697813 97.4486555 .794514063 90.1679788 .800572657 83.20375179343 3102 1884 .806631250 76.8514417 .812689844 71.0793395 .818748438 65.84881179343 3102 1885 .822787500 62.6418616 .827634375 59.0683286 .832481250 55.77367089343 3102 1886 .837328125 52.7362861 .842175000 49.9354625 .847021875 47.35160309343 3102 1887 .851868750 44.9663592 .859139063 41.7239939 .864601285 39.52538959343 3102 1888 .870678855 37.2918734 .876756424 35.2591394 .882833994 33.40568809343 3102 1889 .888911563 31.7124894 .894989133 30.1627232 .901066702 28.74153319343 3102 1890 .910183057 26.8225443 .919813875 25.0358191 .929444692 23.45984229343 3102 1891 .939075510 22.0638888 .948706327 20.8224680 .958337144 19.71434169343 3102 1892 .968330292 18.6864418 .978504606 17.7505171 .988678920 16.91157069343 3102 1893 .998853233 16.1572170 1.00902755 15.4769873 1.02297608 14.64888339343 3102 1894 1.03730739 13.9059569 1.05163870 13.2558677 1.06597000 12.68503099343 3102 1895 1.08070569 12.1690050 1.09584575 11.7033411 1.11098582 11.29427519343 3102 1896 1.12612588 10.9345279 1.14969038 10.4589623 1.17368208 10.06447489343 3102 1897 1.19767378 9.74625535 1.22301940 9.48079872 1.24836502 9.278358919343 3102 1898 1.27418742 9.12930080 1.30096337 9.02966289 1.32773932 8.981572719343 3102 1899 1.34008132 8.97592856 1.37192961 9.00803478 1.40036122 9.092948679343 3102 1900 1.42932765 9.23480343 1.45936374 9.44351004 1.48939983 9.719672129343 3102 1901 1.52056594 10.0850527 1.54172002 10.3839918 1.56287410 10.72883389343 3102 1902 1.58402817 11.1245747 1.60637604 11.6045577 1.62872390 12.15637709343 3102 1903 1.65107177 12.7898948 1.67341963 13.5166049 1.69112641 14.16722739343 3102 1904 1.70883317 14.8918887 1.72653994 15.6984087 1.74424670 16.59492509343 3102 1905 1.76195347 17.5895411 1.78032640 18.7333152 1.79903241 20.02165039343 3102 1906 1.81773842 21.4388709 1.83644444 22.9837518 1.85515045 24.64735179343 3102 1907 1.88342549 27.3406334 1.93083860 31.9832248 1.94990810 33.70764569343 3102 1908 1.96897760 35.2330826 1.98327973 36.2004901 1.99758185 36.98608569343 3102 1909 2.01236072 37.5860201 2.02809305 37.9757225 2.04358702 38.10992629343 3102 1910 2.05574383 38.0518497 2.07195290 37.7770532 2.09102240 37.22347339343 3102 1911 2.14584722 35.1015510 2.16730040 34.4446419 2.18374785 34.13801819343 3102 1912 2.20019529 34.0552212 2.21116025 34.1427797 2.22702394 34.48890759343 3102 1913 2.24288763 35.1027731 2.25875132 35.9774238 2.27461500 37.08547339343 3102 1914 2.29538430 38.8029359 2.33115365 41.9804230 2.35192295 43.58618909343 3102 1915 2.36923070 44.6066221 2.38342306 45.1700864 2.39576925 45.44647029343 3102 1916 2.40673083 45.5302448 2.42346165 45.4008844 2.44076940 45.02355479343 3102 1917 2.48568695 43.7938999 2.50167565 43.5708730 2.50967000 43.54132109343 3102 1918 2.52409970 43.6461212 2.54013270 44.0121290 2.55616570 44.63177039343 3102 1919 2.57219870 45.4720226 2.59785150 47.1408264 2.63152080 49.52583209343 3102 1920 2.65781492 51.1686595 2.67865782 52.1520429 2.69364868 52.63205369343 3102 1921 2.70888003 52.9025146 2.71649570 52.9522982 2.73732658 52.79479029343 3102 1922 2.75201045 52.4309650 2.77523120 51.4606842 2.79938078 50.01170049343 3102 1923 2.82786490 47.8915761 2.87430640 44.1176607 2.90214271 42.06097279343 3102 1924 2.92301994 40.7508171 2.94497246 39.6204623 2.95996591 38.98571029343 3102 1925 2.99162045 37.9140334 3.03998230 36.4337763 3.06733176 35.35471689343 3102 1926 3.08834415 34.3180157 3.11335890 32.8429082 3.13837365 31.15654419343 3102 1927 3.20458044 26.3838355 3.23349575 24.4730399 3.25277263 23.31755749343 3102 1928 3.27204950 22.2619297 3.29775200 20.9985197 3.32345450 19.87127019343 3102 1929 3.36200825 18.3521061 3.43654550 15.6453966 3.50722738 13.16061189343 3102 1930 3.54578113 11.8839258 3.57437516 11.0011391 3.60232663 10.20273939343 3102 1931 3.63027810 9.47376028 3.65822957 8.81569514 3.68618104 8.226861439343 3102 1932 3.71413250 7.70343636 3.74033246 7.26773100 3.76653241 6.880505569343 3102 1933 3.79273237 6.53714674 3.81893232 6.23322010 3.84513228 5.964603659343 3102 1934 3.87133223 5.72756038 3.89753218 5.51876389 3.92373214 5.335293399343 3102 1935 3.95100374 5.16848820 3.97827535 5.02390421 4.01918277 4.844169289343 3102 1936 4.06009018 4.70396210 4.10099760 4.59883788 4.14190500 4.525425539343 3102 1937 4.18371250 4.48048498 4.22552000 4.46390231 4.27023103 4.475946549343 3102 1938 4.31494205 4.51781273 4.35965307 4.58905400 4.40436408 4.689460109343 3102 1939 4.44907510 4.81881944 4.49150743 4.96799999 4.51903608 5.078214439343 3102 1940 4.57409339 5.32859192 4.62915070 5.61385796 4.77021200 6.415896469343 3102 1941 4.82277000 6.68890819 4.87055000 6.89480939 4.90519050 7.009014299343 3102 1942 4.93744200 7.08370775 4.96969350 7.12507415 4.99191120 7.133517829343 3102 1943 5.03061300 7.10959999 5.06644800 7.04643018 5.11422800 6.910189089343 3102 1944 5.16200800 6.73053737 5.25040100 6.35333853 5.31132050 6.115808049343 3102 1945 5.35193350 5.99004658 5.39374100 5.90073418 5.42599250 5.866862009343 3102 1946 5.43674300 5.86345558 5.46891985 5.88014102 5.50094738 5.942612029343 3102 1947 5.52229907 6.01413800 5.54365075 6.11349543 5.56500244 6.244916119343 3102 1948 5.58635413 6.41364825 5.60770582 6.62623656 5.62371958 6.819303149343 3102 1949 5.64174907 7.07687245 5.66078641 7.40262859 5.67347797 7.655226289343 3102 1950 5.68616954 7.94004086 5.69886110 8.26079006 5.71155266 8.621529679343 3102 1951 5.72424422 9.02661186 5.73745613 9.50033697 5.75118838 10.05457299343 3102 1952 5.76492063 10.6776151 5.77865288 11.3748703 5.79238513 12.15089109343 3102 1953 5.80611738 13.0088574 5.81984963 13.9499854 5.83358188 14.97288869343 3102 1954 5.84785238 16.1175278 5.86266113 17.3831067 5.88487425 19.39276129343 3102 1955 5.92456170 23.0604883 5.94322073 24.6630707 5.95773330 25.78426589343 3102 1956 5.97017265 26.6267377 5.98261200 27.3367020 5.99445900 27.87224019343 3102 1957 6.00630600 28.2570527 6.01708677 28.4681060 6.02786754 28.54216419343 3102 1958 6.03900372 28.4735968 6.05250930 28.1959891 6.06435630 27.78483429343 3102 1959 6.07679565 27.1973496 6.08982735 26.4291622 6.10226670 25.57128359343 3102 1960 6.12003720 24.1802178 6.14373120 22.1311971 6.18001264 18.88926989343 3102 1961 6.20178150 17.0461211 6.21675624 15.8674193 6.23173098 14.77710199343 3102 1962 6.24670571 13.7827405 6.26168044 12.8873191 6.27665518 12.09014379343 3102 1963 6.28969683 11.4732774 6.30177195 10.9632380 6.31384707 10.50855479343 3102 1964 6.32592219 10.1055976 6.33799731 9.75060866 6.35409746 9.345448409343 3102 1965 6.37019762 9.01039706 6.38629777 8.73758234 6.40239793 8.519936209343 3102 1966 6.41742474 8.36108485 6.43835494 8.20274013 6.45928515 8.108770439343 3102 1967 6.47565364 8.07491286 6.48504540 8.06980682 6.50382891 8.088493669343 3102 1968 6.52261243 8.14280898 6.55078770 8.28467473 6.57896297 8.491654789343 3102 1969 6.60713825 8.75641996 6.63198615 9.03218504 6.66289845 9.422242539343 3102 1970 6.70926690 10.0799135 6.79599308 11.3702975 6.82948140 11.81254179343 3102 1971 6.86382840 12.1880612 6.88958865 12.4007212 6.91191420 12.52850109343 3102 1972 6.93939180 12.6064146 6.95313060 12.6109851 6.98181035 12.54565019343 3102 1973 7.00525218 12.4187033 7.02869400 12.2297528 7.05445425 11.95790739343 3102 1974 7.08021450 11.6289253 7.11971355 11.0411568 7.23692269 9.104498809343 3102 1975 7.27041102 8.59448902 7.30389934 8.13262806 7.33137694 7.796385629343 3102 1976 7.36357725 7.45701973 7.38504413 7.26592961 7.40651100 7.104564049343 3102 1977 7.42797788 6.97432019 7.44944475 6.87673430 7.47091163 6.813568419343 3102 1978 7.49237850 6.78687165 7.51384538 6.79900275 7.53936500 6.867599449343 3102 1979 7.55637808 6.94821940 7.57339116 7.05837245 7.59040423 7.199315739343 3102 1980 7.60741731 7.37204516 7.62443039 7.57713115 7.64144347 7.814528239343 3102 1981 7.66453625 8.18673399 7.67912250 8.44937285 7.70829500 9.028036899343 3102 1982 7.77997600 10.5655202 7.80664800 11.0744001 7.82831900 11.41652439343 3102 1983 7.84498900 11.6216330 7.86165900 11.7671799 7.87832900 11.84685449343 3102 1984 7.88666400 11.8606175 7.90300060 11.8358128 7.91817030 11.75132019343 3102 1985 7.93334000 11.6092092 7.95001000 11.3904763 7.96668000 11.11239669343 3102 1986 7.98418350 10.7653656 8.00168700 10.3725561 8.03502700 9.539496949343 3102 1987 8.08920450 8.11938815 8.11626868 7.44932229 8.14061169 6.893334169343 3102 1988 8.16495469 6.39001358 8.18118337 6.08543227 8.19741204 5.805683989343 3102 1989 8.21364071 5.55015916 8.23677132 5.22573009 8.25747712 4.972043239343 3102 1990 8.27818292 4.74972929 8.29888872 4.55548839 8.31959453 4.386119249343 3102 1991 8.34030032 4.23863681 8.36790806 4.07140468 8.39551579 3.932724529343 3102 1992 8.42312352 3.81794012 8.45073125 3.72322434 8.47996297 3.641351259343 3102 1993 8.52381055 3.54777583 8.56765813 3.48255135 8.61150571 3.439977679343 3102 1994 8.65535329 3.41582299 8.70667119 3.40669278 8.77292975 3.419542749343 3102 1995 8.83918832 3.45441333 8.90544688 3.50641248 8.99379163 3.595378779343 3102 1996 9.29780150 3.95959883 9.40173650 4.06193108 9.49164028 4.125324259343 3102 1997 9.56751283 4.15642840 9.63455090 4.16539706 9.73276948 4.147341629343 3102 1998 9.81747650 4.10479121 9.92141150 4.02597714 10.2423109 3.726844569343 3102 1999 10.3228605 3.66912400 10.4034101 3.62853239 10.4839597 3.609431889343 3102 2000 10.5242345 3.60926524 10.5885443 3.62367551 10.6528541 3.658165449343 3102 2001 10.7171639 3.71531120 10.7814737 3.79815342 10.8457835 3.910418419343 3102 2002 10.8883318 4.00308933 10.9305554 4.11137428 10.9727790 4.237779429343 3102 2003 11.0150026 4.38449094 11.0572262 4.55409435 11.0994498 4.749648759343 3102 2004 11.1416734 4.97475822 11.1838970 5.23363846 11.2213460 5.495424789343 3102 2005 11.2540203 5.75169976 11.2866946 6.03694987 11.3193688 6.354320899343 3102 2006 11.3520431 6.70720663 11.3847174 7.09918460 11.4173917 7.533913699343 3102 2007 11.4500659 8.01496434 11.4874485 8.62629646 11.5190166 9.195898039343 3102 2008 11.5505847 9.81576527 11.5821529 10.4858802 11.6137210 11.20458049343 3102 2009 11.6508863 12.1080583 11.6992460 13.3614889 11.7816366 15.62656529343 3102 2010 11.8532806 17.6724158 11.8891026 18.7512586 11.9168647 19.65289819343 3102 2011 11.9464178 20.7261121 11.9634333 21.4233522 11.9831354 22.32983669343 3102 2012 12.0010464 23.2701538 12.0171663 24.2320119 12.0332862 25.32276169343 3102 2013 12.0494061 26.5611051 12.0664215 28.0478676 12.0798548 29.36369789343 3102 2014 12.0932880 30.8125818 12.1111990 32.9589458 12.1291100 35.35209409343 3102 2015 12.1452299 37.7094616 12.1613498 40.2430173 12.1855297 44.31386369343 3102 2016 12.2419493 54.3009779 12.2580692 57.0196464 12.2796359 60.36414679343 3102 2017 12.2958110 62.5692363 12.3135810 64.6168048 12.3259594 65.77954019343 3102 2018 12.3414324 66.9023585 12.3598453 67.7384924 12.3723784 67.99402519343 3102 2019 12.3801149 68.0273500 12.3955879 67.8209084 12.4157028 67.05203259343 3102 2020 12.4323363 66.0482661 12.4489698 64.7777811 12.4768832 62.23541999343 3102 2021 12.5287080 57.1033140 12.5526195 54.9106858 12.5789222 52.77098699343 3102 2022 12.6052248 50.9346775 12.6410921 48.8237111 12.6984797 45.76959219343 3102 2023 12.7327528 43.7236914 12.7566643 42.0802008 12.7805758 40.23267849343 3102 2024 12.8092696 37.7573089 12.8475280 34.1142580 12.9192625 26.94043859343 3102 2025 12.9451667 24.4724996 12.9710708 22.1591114 12.9904989 20.54714479343 3102 2026 13.0099270 19.0511491 13.0228790 18.1206556 13.0408127 16.92135149343 3102 2027 13.0587463 15.8243237 13.0766799 14.8264457 13.0946135 13.92310679343 3102 2028 13.1125472 13.1086569 13.1304808 12.3768262 13.1484144 11.72103519343 3102 2029 13.1663480 11.1346820 13.1839844 10.6195362 13.2016206 10.15953289343 3102 2030 13.2133781 9.88080287 13.2368932 9.38371456 13.2604082 8.958213099343 3102 2031 13.2839233 8.59486382 13.3074383 8.28561106 13.3309533 8.023642049343 3102 2032 13.3544683 7.80324774 13.3855033 7.56807368 13.4165381 7.388310379343 3102 2033 13.4475730 7.25713205 13.4786079 7.16930300 13.5096428 7.120855779343 3102 2034 13.5344707 7.10844399 13.5634366 7.12194064 13.6068854 7.196145959343 3102 2035 13.6503343 7.33305200 13.6937831 7.53197718 13.7372319 7.793652359343 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