19-K -Nat ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 1.90000E+4 3.87660E+1 0 0 0 11900 1451 1 0.0 0.0 0 0 0 61900 1451 2 1.00000E+0 2.00000E+7 8 0 10 61900 1451 3 1.50000E+3 0.0 1 0 256 991900 1451 4 19-K - 0 GGA EVAL-FEB67 M.K.DRAKE 1900 1451 5 GA-7829 VOL-5 (1967) DIST-SEP 1 20010926 1900 1451 6 ----ENDF/B-VI MATERIAL 1900 1900 1451 7 -----INCIDENT NEUTRON DATA 1900 1451 8 ------ENDF-6 FORMAT 1900 1451 9 1900 1451 10 **************************************************************** 1900 1451 11 1900 1451 12 ENDF/B-VI MOD 1 Revision, September 2000, S.C.Frankle, R.C.Reedy,1900 1451 13 P.G.Young (LANL) 1900 1451 14 1900 1451 15 The secondary gamma-ray spectrum for radiative capture (MF12, 1900 1451 16 MT=102) has been changed for incident neutron energies 1900 1451 17 below 20 MeV. The previous evaluation (MOD 0) utilized a pure 1900 1451 18 discrete representation at all energies (47 photons). We have 1900 1451 19 replaced this with 77 discrete gamma rays and a continuum 1900 1451 20 constructed by binning another 1665 weaker discrete gamma rays. 1900 1451 21 This new MT=102 data evaluation is based upon an analysis 1900 1451 22 of thermal neutron-induced experimental data. 1900 1451 23 The Q-value for radiative capture was also updated in File 3. 1900 1451 24 Details of these changes are described in Frankel et al. [Fr01]. 1900 1451 25 1900 1451 26 **************************************************************** 1900 1451 27 1900 1451 28 REFERENCES 1900 1451 29 1900 1451 30 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 1900 1451 31 National Laboratory Report, LA-13812 (2001). 1900 1451 32 1900 1451 33 **************************************************************** 1900 1451 34 1900 1451 35 ENDF/B-VI MOD 0, January 1990 (NNDC) 1900 1451 36 1900 1451 37 ENDF/B-V Material 1150 converted to ENDF-6 format by NNDC 1900 1451 38 1900 1451 39 **************************************************************** 1900 1451 40 1900 1451 41 ENDF/B-V Evaluation, January 1983, M. K. Drake (SAI) 1900 1451 42 1900 1451 43 Gamma-ray production representation revised for ENDF/B-V 1900 1451 44 upon recommendation of D. C. Larson (ORNL) based on 1900 1451 45 transition probabilities suggested in Durell [25]. 1900 1451 46 1900 1451 47 **************************************************************** 1900 1451 48 1900 1451 49 ENDF/B-IV Evaluation, May 1974, M. K. Drake (GGA) 1900 1451 50 1900 1451 51 Extended to 20 MeV for ENDF/B Version-IV 1900 1451 52 1900 1451 53 **************************************************************** 1900 1451 54 1900 1451 55 ENDF/B-III Evaluation, February 1967, M. K. Drake (GGA) 1900 1451 56 1900 1451 57 FILE 3 1900 1451 58 TOTAL CROSS SECTION 1900 1451 59 Up to 10 eV,a smooth curve was drawn through the data of Joki 1900 1451 60 [1]; from 10 eV to 17 keV the total cross section was obtained 1900 1451 61 from a resolved resonance calculation based on the two principle 1900 1451 62 isotopes. Parameters of Good, et al. [2] were used. Between 1900 1451 63 17 keV and 315 keV a smooth curve was drawn through the 1958 1900 1451 64 data measured by Newson [3]. 1900 1451 65 The total cross section was very poorly measured between 0.3 1900 1451 66 and 1.0 MeV. The recommended curve was drawn through data 1900 1451 67 measured by Peterson [4]. 1900 1451 68 Between 0.9 and 2.10 MeV an averaged was taken of data measured1900 1451 69 by Vaughn [5]. Structure in the cross section is present but 1900 1451 70 could not be analyzed from Vaughns data. 1900 1451 71 Above 2.1 MeV data measured by Foster [6] and Deconninck [7] 1900 1451 72 were used. 1900 1451 73 1900 1451 74 RADIATIVE CAPTURE CROSS SECTION 1900 1451 75 The low energy cross section was modified to agree with the 1900 1451 76 CSEWG Normalization and Standards Subcommittee recommended 1900 1451 77 2200 m/sec value of 2.10 barns. 1900 1451 78 From 1.0-5 eV to 20 keV the cross section was obtained from 1900 1451 79 the resolved resonance parameters (See GA-7829 Vol-4) plus 1900 1451 80 additional 1/v component to obtain the desired 0.0253 eV value. 1900 1451 81 Above 20 keV the cross section was drawn through the 1900 1451 82 experimental points at 30.5 and 65.0 keV measured by Macklin [8].1900 1451 83 The slope was taken to be the same as was measured for 41K 1900 1451 84 activation by Stupegia [9]. 1900 1451 85 1900 1451 86 INELASTIC SCATTERING 1900 1451 87 The first three level excitation cross sections were based on 1900 1451 88 measurements by Lind and Day [10] and Towle and Gilboy [11] for 1900 1451 89 neutron energies up to 4.0 MeV. Other level excitation cross 1900 1451 90 sections were obtained using the ABACUS-II Code (see report) 1900 1451 91 calculations were made for neutron energies up to 6.8 MeV. 1900 1451 92 Above 6.8 MeV the total inelastic cross section was taken as the 1900 1451 93 difference between the non-elastic cross section and the sum of 1900 1451 94 (n,p) + (n,np) + (n,alpha) + (n,nalpha) + (n,2n). See report for 1900 1451 95 the non-elastic cross section. 1900 1451 96 1900 1451 97 N,PROTON CROSS SECTIONS 1900 1451 98 Up to 700 keV the (n,p) cross section is 1/v with a 2200 m/sec 1900 1451 99 value of 0.051 barns (Normalization and Standards Subcommittee 1900 1451 100 recommendation). From 700 keV to 4.0 MeV measured values for the 1900 1451 101 (n,p0) + (n,p1) + (n,p2) cross sections were used, based on 1900 1451 102 measurements by Bass [12,13]. 1900 1451 103 Between 4.0 and 8.0 MeV the data of Bass [13] were used. The 1900 1451 104 recommend curve was extrapolated through to data measured by 1900 1451 105 Langkau [14] (12.6 to 19.4 MeV). 1900 1451 106 The (n,np) cross section was based on measurements made by 1900 1451 107 Langkau [14] and Bormann [15]. 1900 1451 108 1900 1451 109 N,ALPHA CROSS SECTIONS 1900 1451 110 Up to 1.0 MeV the cross section was taken to be 1/v with a 1900 1451 111 2200 m/sec value of 0.0046 barns (Normalization and Standards 1900 1451 112 Subcommittee recommendation). From 1.0 MeV to 3.5 MeV the (n,a) 1900 1451 113 cross section was based on (n,alpha0) measurements of Bass 1900 1451 114 [12,13]. From 3.5 to 8.0 MeV data of Bass [14] were used. 1900 1451 115 Above 8.0 MeV the data of Bormann [15,16] were used. 1900 1451 116 The (n,an) cross section was based on data measured by Bormann 1900 1451 117 [15]. 1900 1451 118 1900 1451 119 N,2N CROSS SECTION 1900 1451 120 The n,2n cross section was based on measurements made by 1900 1451 121 Bormann [17,18] for the 39K(n,2n)38(g)K reaction and by Arnold 1900 1451 122 [19] and Bormann [17] for the 39K(n,2n)38(m)K reaction. 1900 1451 123 1900 1451 124 FILE 4 (ANGULAR DISTRIBUTIONS) 1900 1451 125 ELASTIC SCATTERING 1900 1451 126 From 0.03 to 1.3 MeV the data of Langsdorf [20] were used. 1900 1451 127 From 1.5 to 3.8 MeV the data of Towle [11] were used. 1900 1451 128 Above 4.0 MeV the ABACUS-II code was used. 1900 1451 129 1900 1451 130 NON-ELASTIC REACTIONS 1900 1451 131 Angular distributions for (n,2n), (n,np), (n,nalpha), and 1900 1451 132 (n,n' continuum) neutrons have been assumed to be isotropic. 1900 1451 133 Angular distributions for neutrons from discrete level 1900 1451 134 excitation reactions have been calculated using the ABACUS-II 1900 1451 135 code. 1900 1451 136 1900 1451 137 FILE 5 (ENERGY DISTRIBUTIONS) 1900 1451 138 An evaporation model has been used for MT=16,22,28, and 91 1900 1451 139 The effective nuclear temperature was based on 1900 1451 140 T(E) = B*sqrt(E/A) 1900 1451 141 E= incident neutron energy 1900 1451 142 A= nuclear mass 1900 1451 143 B= 2.5 for MT=91, 1.59 FOR MT= 16, 22, and 28 1900 1451 144 (see Vol.1, GA-7829). 1900 1451 145 1900 1451 146 FILE 12 AND 13 PHOTON PRODUCTION CROSS SECTIONS 1900 1451 147 Gamma rays from thermal neutron capture were obtained from 1900 1451 148 data summarized by Endt [21] and Groshev [22] and measurements 1900 1451 149 of Rudolph [23]. Since no epi-thermal measurements were 1900 1451 150 available the same spectra was assumed for all incident neutron 1900 1451 151 energies. 1900 1451 152 Photons from discrete inelastic level excitation were obtained 1900 1451 153 from the level cross section. All six levels were assumed to 1900 1451 154 decay to the ground state. 1900 1451 155 Photons from (n,p1), (n,p2) and (n,a1) reactions were obtained 1900 1451 156 by analyzing the individual reactions. 1900 1451 157 Photons from neutron reactions above 7.0 MeV were based on 1900 1451 158 a measurement by Caldwell for phosphorous. These data are 1900 1451 159 poorly known. 1900 1451 160 The angular distributions for discrete photons was calculated 1900 1451 161 using the MANDY code. 1900 1451 162 The angular distributions for continuum photons was assumed 1900 1451 163 to be isotropic. 1900 1451 164 1900 1451 165 ----------------------------------------------------------------- 1900 1451 166 REFERENCES 1900 1451 167 1900 1451 168 (1) E.G. Joki, et al., Phys.Rev.99,610 (1955) 1900 1451 169 (2) W.M. Good, et al., Phys.Rev.109,926 (1958) 1900 1451 170 (3) H.W. Newson (Duke U.) private comm. (See BNL-883,1964) 1900 1451 171 (4) R.E. Peterson, Phys.Rev. 77, 747 (1950) 1900 1451 172 (5) F.J. Vaughn, et al., Nucl.Sci.Eng. 17, 325 (1963) 1900 1451 173 (6) D.G. Foster, Jr., private comm. (1966) 1900 1451 174 (7) G. Deconninck, et al., J.Phys.(Paris) 22, 652 (1961) 1900 1451 175 (8) R.L. Macklin, et al., Phys.Rev. 129, 2695 (1963) 1900 1451 176 (9) D.C. Stupegia, et al., IAEA Conf.on Nuclear Data (1966) 1900 1451 177 (10) D.A. Lind and R.B. Day, Ann.Phys. 12, 485 (1961) 1900 1451 178 (11) J.H. Towle and W.B. Gilboy, Nucl.Phys. 72, 515 (1965) 1900 1451 179 (12) R. Bass, et al., Nucl.Phys. 28, 478 (1961) 1900 1451 180 (13) R. Bass, et al., ENDC(E)-57 (1965) 1900 1451 181 (14) R. Langkau, Z.Naturforsh, 18A, 914 (1963) 1900 1451 182 (15) M. Bormann, et al., Z.Naturforsh, 15A, 200 (1960) 1900 1451 183 (16) M. Bormann, et al., Z.Phys.166, 477 (1962) 1900 1451 184 (17) M. Bormann, Nucl.Phys. 65, 257(1965) 1900 1451 185 (18) M. Bormann, et al.,Nucl.Phys. 63, 438 (1965) 1900 1451 186 (19) D.M. Arnold, thesis, U. of Georgia (1965) 1900 1451 187 (20) A. Langsdorf, et al., Phys.Ref.107,1077 (1957) 1900 1451 188 (21) P.M. Endt and C.Van der Leun, Nucl.Phys. 34, 1 (1962) 1900 1451 189 (22) L.V. Groshev, et al., Atlas of Gamma-ray Spectra from 1900 1451 190 Radiative Capture (translation) Pergammon Press, 1959 1900 1451 191 (23) W. Rudolph and H.V.Gersch, Nucl.Phys. 71, 221 (1965) 1900 1451 192 (24) R.L. Caldwell, et al., Nucl.Sci.Eng. 8, 173 (1960) 1900 1451 193 (25) J.L. Durell, et al., Nucl.Phys.A219, 1(1974) 1900 1451 194 1900 1451 195 **************************************************************** 1900 1451 196 1900 1451 197 Translated June 1969 from GA evaluation (GA-7829, 1967) 1900 1451 198 Translation completed July, 1969. 1900 1451 199 1900 1451 200 Translation code (LATEX) 1900 1451 201 Donald J. Dudziak, Los Alamos Scientific Laboratory 1900 1451 202 1900 1451 203 M.K. Drake, et al, GA-7829 (NDL-TR-89). 1900 1451 204 The permission of Mr. Drake to translate his evaluation is 1900 1451 205 gratefully acknowledged. Transition probability arrays for 1900 1451 206 inelastic scattering were taken from diagrams in GA-7829, Part 1900 1451 207 V. Data for RTN 1032 and 3032 were assigned MT=28, as 1900 1451 208 recommended by Drake. 1900 1451 209 1900 1451 210 Photon production files converted to new format in LA-4549 1900 1451 211 (ENDF-102, Revised, Vol. II) by Donald J. Dudziak July 1970. 1900 1451 212 1900 1451 213 Neutron and photon production files converted to ENDF/B-II 1900 1451 214 format for the Radiation Shielding Information Center by 1900 1451 215 Singletary, Penny, and Roussin. File 2 and File 23 also added in 1900 1451 216 March 1971. 1900 1451 217 1900 1451 218 Gamma-ray production files revised Sept.1978(Larson and Roussin).1900 1451 219 1900 1451 220 File 12 MT=54 Transition probabilities revised and transition 1900 1451 221 probabilities for MT=55-67 added by D.C. Larson (ORNL) based 1900 1451 222 on Durell [25]. 1900 1451 223 1900 1451 224 File 13, MT 51-56, Gamma-ray production cross sections removed. 1900 1451 225 1900 1451 226 *** WARNING TO PROCESSING CODE USERS. *** 1900 1451 227 *** Processing codes should use the File 12 transition *** 1900 1451 228 *** probabilities for MT=51-67 with the corresponding *** 1900 1451 229 *** File 3 cross sections for the entire neutron energy *** 1900 1451 230 *** range over which the cross sections are given *** 1900 1451 231 *** (threshold to 6.8 MeV). *** 1900 1451 232 1900 1451 233 File 14, MT=51-67 ANGULAR DISTRIBUTIONS ARE NOW ALL 1900 1451 234 Assumed to be isotropic. 1900 1451 235 1900 1451 236 ************************ C O N T E N T S *********************** 1900 1451 237 ***************** Program LINEAR (VERSION 2004-1) ***************1900 1451 238 For All Data Greater than 1.0000E-10 barns in Absolute Value 1900 1451 239 Data Linearized to Within an Accuracy of .100000000 per-cent 1900 1451 240 ***************** Program SIGMA1 (VERSION 2004-1) ***************1900 1451 241 Data Doppler Broadened to 1500.00000 Kelvin 1900 1451 242 for All Data Greater than 1.0000E-10 barns in Absolute Value 1900 1451 243 Data Linearized to Within an Accuracy pf .100000000 per-cent 1900 1451 244 ***************** Program FIXUP (Version 2004-1) ****************1900 1451 245 Corrected ZA/AWR in All Sections-----------------------------Yes 1900 1451 246 Corrected Thresholds-----------------------------------------No 1900 1451 247 Extended Cross Sections to 20 MeV----------------------------No 1900 1451 248 Allow Cross Section Deletion---------------------------------No 1900 1451 249 Allow Cross Section Reconstruction---------------------------Yes 1900 1451 250 Make All Cross Sections Non-Negative-------------------------Yes 1900 1451 251 Delete Energies Not in Ascending Order-----------------------Yes 1900 1451 252 Deleted Duplicate Points-------------------------------------Yes 1900 1451 253 Check for Ascending MAT/MF/MT Order--------------------------Yes 1900 1451 254 Check for Legal MF/MT Numbers--------------------------------Yes 1900 1451 255 Allow Creation of Missing Sections---------------------------No 1900 1451 256 Allow Insertion of Energy Points-----------------------------No 1900 1451 257 Create Uniform Energy Grid-----------------------------------No 1900 1451 258 Delete Section if Cross Section =0 at All Energies-----------Yes 1900 1451 259 **************** Program DICTIN (VERSION 2004-1) ****************1900 1451 260 1 451 359 11900 1451 261 2 151 4 01900 1451 262 3 1 1075 01900 1451 263 3 2 585 01900 1451 264 3 4 50 01900 1451 265 3 16 8 01900 1451 266 3 22 12 01900 1451 267 3 28 12 01900 1451 268 3 51 15 01900 1451 269 3 52 15 01900 1451 270 3 53 14 01900 1451 271 3 54 12 01900 1451 272 3 55 12 01900 1451 273 3 56 12 01900 1451 274 3 57 11 01900 1451 275 3 58 10 01900 1451 276 3 59 9 01900 1451 277 3 60 8 01900 1451 278 3 61 8 01900 1451 279 3 62 7 01900 1451 280 3 63 6 01900 1451 281 3 64 6 01900 1451 282 3 65 6 01900 1451 283 3 66 5 01900 1451 284 3 67 5 01900 1451 285 3 91 38 01900 1451 286 3 102 345 01900 1451 287 3 103 226 01900 1451 288 3 107 162 01900 1451 289 4 2 1050 01900 1451 290 4 16 10 01900 1451 291 4 22 10 01900 1451 292 4 28 10 01900 1451 293 4 51 94 01900 1451 294 4 52 94 01900 1451 295 4 53 85 01900 1451 296 4 54 76 01900 1451 297 4 55 76 01900 1451 298 4 56 76 01900 1451 299 4 57 67 01900 1451 300 4 58 58 01900 1451 301 4 59 10 01900 1451 302 4 60 10 01900 1451 303 4 61 10 01900 1451 304 4 62 10 01900 1451 305 4 63 10 01900 1451 306 4 64 10 01900 1451 307 4 65 10 01900 1451 308 4 66 10 01900 1451 309 4 67 10 01900 1451 310 4 91 10 01900 1451 311 5 16 7 01900 1451 312 5 22 7 01900 1451 313 5 28 7 01900 1451 314 5 91 7 01900 1451 315 12 51 3 01900 1451 316 12 52 3 01900 1451 317 12 53 3 01900 1451 318 12 54 3 01900 1451 319 12 55 3 01900 1451 320 12 56 3 01900 1451 321 12 57 3 01900 1451 322 12 58 3 01900 1451 323 12 59 3 01900 1451 324 12 60 3 01900 1451 325 12 61 3 01900 1451 326 12 62 3 01900 1451 327 12 63 3 01900 1451 328 12 64 3 01900 1451 329 12 65 3 01900 1451 330 12 66 3 01900 1451 331 12 67 3 01900 1451 332 12 91 7 01900 1451 333 12 102 235 11900 1451 334 12 103 41 01900 1451 335 12 107 9 01900 1451 336 14 51 1 01900 1451 337 14 52 1 01900 1451 338 14 53 1 01900 1451 339 14 54 1 01900 1451 340 14 55 1 01900 1451 341 14 56 1 01900 1451 342 14 57 1 01900 1451 343 14 58 1 01900 1451 344 14 59 1 01900 1451 345 14 60 1 01900 1451 346 14 61 1 01900 1451 347 14 62 1 01900 1451 348 14 63 1 01900 1451 349 14 64 1 01900 1451 350 14 65 1 01900 1451 351 14 66 1 01900 1451 352 14 67 1 01900 1451 353 14 91 1 01900 1451 354 14 102 1 11900 1451 355 14 103 1 01900 1451 356 14 107 1 01900 1451 357 15 91 100 01900 1451 358 15 102 36 11900 1451 359 1900 1 0 360 1900 0 0 361 1.90000E+4 3.87660E+1 0 0 1 01900 2151 362 1.90000E+4 1.00000E+0 0 0 1 01900 2151 363 1.00000E-5 1.00000E+5 0 0 0 01900 2151 364 1.50000E+0 3.45000E-1 0 0 0 01900 2151 365 1900 2 0 366 1900 0 0 367 1.90000E+4 3.87660E+1 0 0 0 01900 3 1 368 0.0 0.0 0 0 1 32151900 3 1 369 3215 2 1900 3 1 370 1.00000E-5 153.811129 1.08624E-5 147.582849 1.17903E-5 141.6601541900 3 1 371 1.28071E-5 135.924657 1.39012E-5 130.470328 1.51000E-5 125.1885121900 3 1 372 1.63900E-5 120.165728 1.78034E-5 115.301782 1.93243E-5 110.6764381900 3 1 373 2.09909E-5 106.197107 2.27840E-5 101.938074 2.47489E-5 97.81337811900 3 1 374 2.68630E-5 93.8913473 2.91798E-5 90.0931183 3.16724E-5 86.48166001900 3 1 375 3.44039E-5 82.9842359 3.73428E-5 79.6587378 4.05633E-5 76.43835941900 3 1 376 4.40284E-5 73.3762863 4.78255E-5 70.4110476 5.19109E-5 67.59167801900 3 1 377 5.63878E-5 64.8615097 6.12047E-5 62.2656638 6.64831E-5 59.75200441900 3 1 378 7.21623E-5 57.3621045 7.83857E-5 55.0479338 8.50817E-5 52.84772731900 3 1 379 9.24194E-5 50.7172973 .000100314 48.6918979 .000108965 46.73088511900 3 1 380 .000118274 44.8664137 .000128474 43.0612791 .000139449 41.34531501900 3 1 381 .000151475 39.6839371 .000164414 38.1047019 .000178594 36.57579601900 3 1 382 .000193850 35.1225757 .000210568 33.7157788 .000228555 32.37869161900 3 1 383 .000248267 31.0844074 .000269474 29.8544142 .000292714 28.66392561900 3 1 384 .000317719 27.5325957 .000345120 26.4377410 .000374601 25.39745721900 3 1 385 .000406908 24.3908081 .000441667 23.4344745 .000479757 22.50920741900 3 1 386 .000520740 21.6302828 .000565650 20.7800619 .000613970 19.97259281900 3 1 387 .000666920 19.1916244 .000723890 18.4500831 .000786320 17.73303801900 3 1 388 .000853490 17.0523414 .000927097 16.3942970 .001006293 15.77356851900 3 1 389 .001034687 15.5698616 .001093078 15.1709054 .001154763 14.78561231900 3 1 390 .001186453 14.5968157 .001288775 14.0402604 .001398867 13.51866401900 3 1 391 .001438338 13.3476358 .001519507 13.0125860 .001605258 12.68930851900 3 1 392 .001649310 12.5308491 .001791549 12.0641744 .001944590 11.62709731900 3 1 393 .001999460 11.4839450 .002112295 11.2033665 .002231498 10.93297381900 3 1 394 .002292735 10.8003573 .002490465 10.4103011 .002703210 10.04522451900 3 1 395 .002779485 9.92583119 .002936340 9.69162228 .003102046 9.466263851900 3 1 396 .003187173 9.35562706 .003462041 9.03075432 .003757782 8.726863621900 3 1 397 .003863813 8.62766072 .004081860 8.43279948 .004312211 8.245661811900 3 1 398 .004430548 8.15410921 .004812647 7.88593711 .004944716 7.801628501900 3 1 399 .005223761 7.63311989 .005674268 7.38634935 .006158986 7.158037621900 3 1 400 .006506556 7.00955679 .006690148 6.93503887 .007261646 6.725208441900 3 1 401 .007466544 6.65699204 .007887904 6.52371747 .008561718 6.330977441900 3 1 402 .009300097 6.14986711 .010094547 5.97377584 .010965119 5.808908281900 3 1 403 .011901801 5.64880563 .012928235 5.49862591 .014032614 5.352959671900 3 1 404 .015242812 5.21652136 .016544912 5.08439034 .017011751 5.041663101900 3 1 405 .017971775 4.95862922 .019506993 4.83935203 .021189312 4.721728241900 3 1 406 .022999384 4.61315699 .024798654 4.51569328 .025300000 4.490683081900 3 1 407 .027481919 4.39192906 .029829529 4.29659263 .032402083 4.202704411900 3 1 408 .033291266 4.17348159 .035169992 4.11525267 .038203117 4.030986391900 3 1 409 .041466574 3.94958745 .045042727 3.86935303 .048890449 3.796390471900 3 1 410 .053106852 3.72469876 .057643442 3.65541824 .060896434 3.610719151900 3 1 411 .062614718 3.58851929 .067963507 3.52664983 .073824805 3.465861201900 3 1 412 .080131202 3.40711620 .087041865 3.34920257 .094477313 3.293028411900 3 1 413 .097143132 3.27483570 .102625211 3.23865438 .111391849 3.186456321900 3 1 414 .120998487 3.13473629 .131334640 3.08429192 .142661181 3.034048941900 3 1 415 .154847845 2.98475945 .168202208 2.94027663 .182570683 2.896811631900 3 1 416 .198315915 2.85345057 .215256819 2.81664978 .233820963 2.780209571900 3 1 417 .253794844 2.74474642 .275682578 2.71333205 .299232438 2.682970101900 3 1 418 .325038795 2.65302897 .352804851 2.62399051 .372714687 2.605189411900 3 1 419 .383231391 2.59668605 .415968481 2.57315552 .451842369 2.550208541900 3 1 420 .490440471 2.52821018 .532736961 2.50671428 .578245388 2.486064771900 3 1 421 .628114335 2.46551105 .681770263 2.44567154 .740567386 2.426165531900 3 1 422 .803829483 2.40729148 .873153218 2.38863156 .947741303 2.370495861900 3 1 423 .973870651 2.36475081 1.00000000 2.36015928 1.02947626 2.356262321900 3 1 424 1.11741806 2.34643270 1.21378625 2.33735659 1.31747251 2.329225971900 3 1 425 1.43109376 2.32192692 1.55334326 2.31556780 1.68730644 2.310036101900 3 1 426 1.83144261 2.30551609 1.93242882 2.30321962 1.98938959 2.300238011900 3 1 427 2.11286600 2.29470682 2.15933086 2.29173847 2.34555553 2.281108301900 3 1 428 2.54592185 2.27079451 2.76548683 2.26069521 3.00172529 2.250907731900 3 1 429 3.26059961 2.24118953 3.53913249 2.23174809 3.84435379 2.222404561900 3 1 430 4.17275319 2.21326204 4.31337702 2.20970410 4.53261911 2.202339941900 3 1 431 5.05863265 2.18596804 5.49076039 2.17350927 5.96429368 2.160609011900 3 1 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