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 1.20000E+7 0.0 1 0 260 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 SIGMA1 (VERSION 2004-1) ***************1900 1451 245 Data Doppler Broadened to 12000000.0 Kelvin 1900 1451 246 for All Data Greater than 1.0000E-10 barns in Absolute Value 1900 1451 247 Data Linearized to Within an Accuracy pf .100000000 per-cent 1900 1451 248 ***************** Program FIXUP (Version 2004-1) ****************1900 1451 249 Corrected ZA/AWR in All Sections-----------------------------Yes 1900 1451 250 Corrected Thresholds-----------------------------------------No 1900 1451 251 Extended Cross Sections to 20 MeV----------------------------No 1900 1451 252 Allow Cross Section Deletion---------------------------------No 1900 1451 253 Allow Cross Section Reconstruction---------------------------Yes 1900 1451 254 Make All Cross Sections Non-Negative-------------------------Yes 1900 1451 255 Delete Energies Not in Ascending Order-----------------------Yes 1900 1451 256 Deleted Duplicate Points-------------------------------------Yes 1900 1451 257 Check for Ascending MAT/MF/MT Order--------------------------Yes 1900 1451 258 Check for Legal MF/MT Numbers--------------------------------Yes 1900 1451 259 Allow Creation of Missing Sections---------------------------No 1900 1451 260 Allow Insertion of Energy Points-----------------------------No 1900 1451 261 Create Uniform Energy Grid-----------------------------------No 1900 1451 262 Delete Section if Cross Section =0 at All Energies-----------Yes 1900 1451 263 **************** Program DICTIN (VERSION 2004-1) ****************1900 1451 264 1 451 363 11900 1451 265 2 151 4 01900 1451 266 3 1 2523 01900 1451 267 3 2 421 01900 1451 268 3 4 1544 01900 1451 269 3 16 68 01900 1451 270 3 22 69 01900 1451 271 3 28 78 01900 1451 272 3 51 176 01900 1451 273 3 52 179 01900 1451 274 3 53 174 01900 1451 275 3 54 178 01900 1451 276 3 55 176 01900 1451 277 3 56 176 01900 1451 278 3 57 167 01900 1451 279 3 58 170 01900 1451 280 3 59 164 01900 1451 281 3 60 167 01900 1451 282 3 61 162 01900 1451 283 3 62 164 01900 1451 284 3 63 152 01900 1451 285 3 64 150 01900 1451 286 3 65 160 01900 1451 287 3 66 153 01900 1451 288 3 67 140 01900 1451 289 3 91 112 01900 1451 290 3 102 230 01900 1451 291 3 103 270 01900 1451 292 3 107 161 01900 1451 293 4 2 1050 01900 1451 294 4 16 10 01900 1451 295 4 22 10 01900 1451 296 4 28 10 01900 1451 297 4 51 94 01900 1451 298 4 52 94 01900 1451 299 4 53 85 01900 1451 300 4 54 76 01900 1451 301 4 55 76 01900 1451 302 4 56 76 01900 1451 303 4 57 67 01900 1451 304 4 58 58 01900 1451 305 4 59 10 01900 1451 306 4 60 10 01900 1451 307 4 61 10 01900 1451 308 4 62 10 01900 1451 309 4 63 10 01900 1451 310 4 64 10 01900 1451 311 4 65 10 01900 1451 312 4 66 10 01900 1451 313 4 67 10 01900 1451 314 4 91 10 01900 1451 315 5 16 7 01900 1451 316 5 22 7 01900 1451 317 5 28 7 01900 1451 318 5 91 7 01900 1451 319 12 51 3 01900 1451 320 12 52 3 01900 1451 321 12 53 3 01900 1451 322 12 54 3 01900 1451 323 12 55 3 01900 1451 324 12 56 3 01900 1451 325 12 57 3 01900 1451 326 12 58 3 01900 1451 327 12 59 3 01900 1451 328 12 60 3 01900 1451 329 12 61 3 01900 1451 330 12 62 3 01900 1451 331 12 63 3 01900 1451 332 12 64 3 01900 1451 333 12 65 3 01900 1451 334 12 66 3 01900 1451 335 12 67 3 01900 1451 336 12 91 7 01900 1451 337 12 102 235 11900 1451 338 12 103 41 01900 1451 339 12 107 9 01900 1451 340 14 51 1 01900 1451 341 14 52 1 01900 1451 342 14 53 1 01900 1451 343 14 54 1 01900 1451 344 14 55 1 01900 1451 345 14 56 1 01900 1451 346 14 57 1 01900 1451 347 14 58 1 01900 1451 348 14 59 1 01900 1451 349 14 60 1 01900 1451 350 14 61 1 01900 1451 351 14 62 1 01900 1451 352 14 63 1 01900 1451 353 14 64 1 01900 1451 354 14 65 1 01900 1451 355 14 66 1 01900 1451 356 14 67 1 01900 1451 357 14 91 1 01900 1451 358 14 102 1 11900 1451 359 14 103 1 01900 1451 360 14 107 1 01900 1451 361 15 91 100 01900 1451 362 15 102 36 11900 1451 363 1900 1 0 364 1900 0 0 365 1.90000E+4 3.87660E+1 0 0 1 01900 2151 366 1.90000E+4 1.00000E+0 0 0 1 01900 2151 367 1.00000E-5 1.00000E+5 0 0 0 01900 2151 368 1.50000E+0 3.45000E-1 0 0 0 01900 2151 369 1900 2 0 370 1900 0 0 371 1.90000E+4 3.87660E+1 0 0 0 01900 3 1 372 0.0 0.0 0 0 1 75591900 3 1 373 7559 2 1900 3 1 374 1.00000E-5 3394.09044 1.08624E-5 3256.57076 1.17903E-5 3125.794921900 3 1 375 1.28071E-5 2999.14887 1.39012E-5 2878.70759 1.51000E-5 2762.071781900 3 1 376 1.63900E-5 2651.15199 1.78034E-5 2543.73563 1.93243E-5 2441.584181900 3 1 377 2.09909E-5 2342.65283 2.27840E-5 2248.58225 2.47489E-5 2157.473791900 3 1 378 2.68630E-5 2070.83672 2.91798E-5 1986.92897 3.16724E-5 1907.141611900 3 1 379 3.44039E-5 1829.86767 3.73428E-5 1756.38624 4.05633E-5 1685.221181900 3 1 380 4.40284E-5 1617.54778 4.78255E-5 1552.00752 5.19109E-5 1489.684211900 3 1 381 5.63878E-5 1429.32517 6.12047E-5 1371.92799 6.64831E-5 1316.339861900 3 1 382 7.21623E-5 1263.48016 7.83857E-5 1212.28657 8.50817E-5 1163.604911900 3 1 383 9.24194E-5 1116.45753 .000100314 1071.62460 .000108965 1028.206481900 3 1 384 .000118274 986.915150 .000128474 946.926591 .000139449 908.9018141900 3 1 385 .000151475 872.074435 .000164414 837.055282 .000178594 803.1390131900 3 1 386 .000193850 770.888084 .000210568 739.653148 .000228555 709.9512811900 3 1 387 .000248267 681.184824 .000269474 653.831422 .000292714 627.3398991900 3 1 388 .000317719 602.147741 .000345120 577.749825 .000374601 554.5495701900 3 1 389 .000406908 532.080135 .000441667 510.713961 .000479757 490.0211421900 3 1 390 .000520740 470.343491 .000565650 451.286102 .000613970 433.1642541900 3 1 391 .000666920 415.613293 .000723890 398.923990 .000786320 382.7605441900 3 1 392 .000853490 367.390384 .000927097 352.504654 .001006293 338.3494831900 3 1 393 .001093078 324.640422 .001186453 311.604248 .001288775 298.9788581900 3 1 394 .001398867 286.973216 .001519507 275.345949 .001649310 264.2892661900 3 1 395 .001791549 253.581107 .001944590 243.398492 .002112295 233.5368201900 3 1 396 .002292735 224.159152 .002490465 215.077057 .002703210 206.4407071900 3 1 397 .002936340 198.076564 .003187173 190.122942 .003462041 182.4200071900 3 1 398 .003757782 175.095140 .004081860 168.001145 .004430548 161.2553401900 3 1 399 .004812647 154.722153 .005223761 148.509642 .005674268 142.4929451900 3 1 400 .006158986 136.771565 .006690148 131.230530 .007261646 125.9614701900 3 1 401 .007887904 120.858499 .008561718 116.006009 .009300097 111.3064841900 3 1 402 .010094547 106.837638 .010965119 102.509670 .011901801 98.39414901900 3 1 403 .012928235 94.4083720 .014032614 90.6182536 .015242812 86.94762831900 3 1 404 .016544912 83.4571937 .017971775 80.0768126 .019506993 76.86238201900 3 1 405 .021189312 73.7493094 .022999384 70.7890734 .024798654 68.17390491900 3 1 406 .025300000 67.4953984 .027481919 64.7620329 .029829529 62.16287651900 3 1 407 .032402083 59.6456978 .035169992 57.2521232 .038203117 54.93405291900 3 1 408 .041466574 52.7298193 .045042727 50.5951291 .048890449 48.56528141900 3 1 409 .053106852 46.5994872 .057643442 44.7302536 .062614718 42.92001831900 3 1 410 .067963507 41.1987155 .073824805 39.5317564 .080131202 37.94670591900 3 1 411 .087041865 36.4117127 .094477313 34.9521600 .102625211 33.53871811900 3 1 412 .111391849 32.1947601 .120998487 30.8932793 .131334640 29.65579721900 3 1 413 .142661181 28.4574469 .154847845 27.3180444 .168202208 26.21469371900 3 1 414 .182570683 25.1656399 .198315915 24.1498024 .215256819 23.18397931900 3 1 415 .233820963 22.2487625 .253794844 21.3596167 .275682578 20.49867481900 3 1 416 .299232438 19.6801732 .325038795 18.8876642 .352804851 18.13425291900 3 1 417 .383231391 17.4047992 .415968481 16.7113655 .451842369 16.04001701900 3 1 418 .490440471 15.4018551 .532736961 14.7840558 .578245388 14.19683481900 3 1 419 .628114335 13.6283917 .681770263 13.0881259 .740567386 12.56518041900 3 1 420 .803829483 12.0682023 .873153218 11.5872042 .947741303 11.13013941900 3 1 421 1.02821650 10.6942474 1.02947626 10.6881909 1.11605068 10.27372831900 3 1 422 1.11741806 10.2679235 1.21230095 9.86683287 1.21378625 9.861265641900 3 1 423 1.31586033 9.48028812 1.31747251 9.47495317 1.42934255 9.106325681900 3 1 424 1.43109376 9.10120990 1.55144245 8.75112767 1.55334326 8.746226231900 3 1 425 1.68524171 8.40755531 1.68730644 8.40285616 1.82920150 8.081287831900 3 1 426 1.83144261 8.07678653 1.98695520 7.76576732 1.98938959 7.761475951900 3 1 427 2.15933086 7.46318543 2.17248368 7.44018671 2.34555553 7.173441631900 3 1 428 2.35806554 7.15423455 2.54592185 6.89882572 2.56142946 6.877822521900 3 1 429 2.76548683 6.63311946 2.78023655 6.61549978 3.00172529 6.381270421900 3 1 430 3.02000927 6.36200920 3.26059961 6.13767432 3.27799001 6.121521521900 3 1 431 3.53913249 5.90686722 3.56068991 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