JENDL-5 (Neutron sublibrary (activation cs)) U -237 0 0 0 0 9.223700+4 2.350130+2 0 0 6 19234 1451 1 0.000000+0 1.000000+0 0 0 0 69234 1451 2 1.000000+0 2.000000+7 0 0 10 59234 1451 3 2.936000+2 0.000000+0 4 0 402 149234 1451 4 92-U -237 JAEA+ EVAL-JAN10 O.Iwamoto, T.Nakagawa, et al. 9234 1451 5 DIST-DEC21 20100318 9234 1451 6 ----JENDL-5 MATERIAL 9234 9234 1451 7 -----INCIDENT NEUTRON DATA 9234 1451 8 ------ENDF-6 FORMAT 9234 1451 9 9234 1451 10 History 9234 1451 11 06-08 Fission cross section was modified. 9234 1451 12 07-05 New calculation was performed with CCONE code. 9234 1451 13 Data were compiled as JENDL/AC-2008/1/. 9234 1451 14 09-02 (MF1,MT452,MT455,MT456) were revised. 9234 1451 15 09-08 (MF1,MT458) was evaluated. 9234 1451 16 09-11 (3,18) was revised. 9234 1451 17 10-01 Data of prompt gamma rays due to fission were given. 9234 1451 18 10-03 Covariance data were given. 9234 1451 19 21-08 QI of MT65 was slightly shifted to avoid duplication with 9234 1451 20 MT64 by S. Nakayama. 9234 1451 21 9234 1451 22 21-11 revised by O.Iwamoto 9234 1451 23 (MF3/MT19-21,38) deleted 9234 1451 24 (MF8/MT4,16-18,37,102) added 9234 1451 25 9234 1451 26 MF= 1 General information 9234 1451 27 MT=452 Number of Neutrons per fission 9234 1451 28 Sum of MT=455 and 456. 9234 1451 29 9234 1451 30 MT=455 Delayed neutron data 9234 1451 31 Determined from systematics by Tuttle/2/, Benedetti et al./3/ 9234 1451 32 and Waldo et al./4/, and partial fission cross sections 9234 1451 33 calculated with CCONE code /5/. 9234 1451 34 Decay constants were taken from the evaluation of Brady and 9234 1451 35 England/6/. 9234 1451 36 9234 1451 37 MT=456 Number of prompt neutrons per fission 9234 1451 38 Ohsawa's systematics/7/ 9234 1451 39 9234 1451 40 MT=458 Components of energy release due to fission 9234 1451 41 Total energy and prompt energy were calculated from mass 9234 1451 42 balance using JENDL-4 fission yields data and mass excess 9234 1451 43 evaluation. Mass excess values were from Audi's 2009 9234 1451 44 evaluation/8/. Delayed energy values were calculated from 9234 1451 45 the energy release for infinite irradiation using JENDL FP 9234 1451 46 Decay Data File 2000 and JENDL-4 yields data. For delayed 9234 1451 47 neutron energy, as the JENDL FP Decay Data File 2000/9/ does 9234 1451 48 not include average neutron energy values, the average values 9234 1451 49 were calculated using the formula shown in the report by 9234 1451 50 T.R. England/10/. The fractions of prompt energy were 9234 1451 51 calculated using the fractions of Sher's evaluation/11/ when 9234 1451 52 they were provided. When the fractions were not given by Sher,9234 1451 53 averaged fractions were used. 9234 1451 54 9234 1451 55 9234 1451 56 MF= 2 Resonance parameters 9234 1451 57 MT=151 9234 1451 58 Resolved resonance parameters (MLBW: 1.0E-5 - 200 eV) 9234 1451 59 (same as JENDL-3.3) 9234 1451 60 Below 45 eV, hypothetical resonances were generated from 9234 1451 61 fission width of 0.004 eV, S0 of 1.0E-4 and level spacing of 9234 1451 62 3.5 eV, and adjusted to reproduce thermal cross sections. 9234 1451 63 Above 46 eV, parameters were estimated from fission-area data 9234 1451 64 measured by McNally et al./12/ 9234 1451 65 9234 1451 66 Unresolved resonance parameters (200 eV- 40 keV) 9234 1451 67 Parameters were determined with ASREP code/13/ so as to 9234 1451 68 repruduce the cross sections in this region. The parameters 9234 1451 69 are used only for self-shielding calculations. 9234 1451 70 9234 1451 71 Thermal cross sections and resonance integrals (at 300K) 9234 1451 72 ------------------------------------------------------- 9234 1451 73 0.0253 eV reson. integ.(*) 9234 1451 74 (barns) (barns) 9234 1451 75 ------------------------------------------------------- 9234 1451 76 total 478.46 9234 1451 77 elastic 24.44 9234 1451 78 fission 1.70 45.1 9234 1451 79 capture 452.32 1080 9234 1451 80 ------------------------------------------------------- 9234 1451 81 (*) In the energy range from 0.5 eV to 10 MeV. 9234 1451 82 9234 1451 83 9234 1451 84 MF= 3 Neutron cross sections 9234 1451 85 Cross sections above the resolved resonance region except for 9234 1451 86 the elastic scattering (MT=2) and fission cross sections (MT=18,9234 1451 87 19, 20, 21, 38) were calculated with CCONE code/5/. 9234 1451 88 9234 1451 89 MT= 1 Total cross section 9234 1451 90 The cross section was calculated with CC OMP of Soukhovitskii 9234 1451 91 et al./14/. 9234 1451 92 9234 1451 93 MT=2 Elastic scattering cross section 9234 1451 94 Calculated as total - non-elstic scattering cross sections 9234 1451 95 9234 1451 96 MT=18 Fission cross section 9234 1451 97 Below about 1 MeV, a smooth curve was determined by eye- 9234 1451 98 guiding. 9234 1451 99 9234 1451 100 Above 1 MeV, the experimental data of Burke et al./15/ were 9234 1451 101 analyzed with GMA code /16/. They measured the fission cross 9234 1451 102 section with a surrogate ratio method in the energy region 9234 1451 103 from 493 keV to 24.9 MeV. The results of GMA were used to 9234 1451 104 determine the parameters in the CCONE calculation. 9234 1451 105 9234 1451 106 MT=19, 20, 21, 38 Multi-chance fission cross sections 9234 1451 107 Calculated with CCONE code, and renormalized to the total 9234 1451 108 fission cross section (MT=18). 9234 1451 109 9234 1451 110 9234 1451 111 MF= 4 Angular distributions of secondary neutrons 9234 1451 112 MT=2 Elastic scattering 9234 1451 113 Calculated with CCONE code. 9234 1451 114 9234 1451 115 MT=18 Fission 9234 1451 116 Isotropic distributions in the laboratory system were assumed.9234 1451 117 9234 1451 118 9234 1451 119 MF= 5 Energy distributions of secondary neutrons 9234 1451 120 MT=18 Prompt neutron spectra 9234 1451 121 Calculated with CCONE code. 9234 1451 122 9234 1451 123 MT=455 Delayed neutron spectra 9234 1451 124 (same as JENDL-3.3) 9234 1451 125 The spectra adopted were calculated by Brady and England/6/. 9234 1451 126 9234 1451 127 9234 1451 128 MF= 6 Energy-angle distributions 9234 1451 129 Calculated with CCONE code. 9234 1451 130 Distributions from fission (MT=18) are not included. 9234 1451 131 9234 1451 132 9234 1451 133 MF=12 Photon production multiplicities 9234 1451 134 MT=18 Fission 9234 1451 135 Calculated from the total energy released by the prompt 9234 1451 136 gamma-rays due to fission given in MF=1/MT=458 and the 9234 1451 137 average energy of gamma-rays. 9234 1451 138 9234 1451 139 9234 1451 140 MF=14 Photon angular distributions 9234 1451 141 MT=18 Fission 9234 1451 142 Isotoropic distributions were assumed. 9234 1451 143 9234 1451 144 9234 1451 145 MF=15 Continuous photon energy spectra 9234 1451 146 MT=18 Fission 9234 1451 147 Experimental data measured by Verbinski et al./17/ for 9234 1451 148 U-235 thermal fission were adopted. 9234 1451 149 9234 1451 150 9234 1451 151 MF=31 Covariances of average number of neutrons per fission 9234 1451 152 MT=452 Number of neutrons per fission 9234 1451 153 Sum of covariances for MT=455 and MT=456. 9234 1451 154 9234 1451 155 MT=455 9234 1451 156 Error of 15% was assumed. 9234 1451 157 9234 1451 158 MT=456 9234 1451 159 Covariance was obtained by fitting a linear function to the 9234 1451 160 data at 0.0 and 5.0 MeV with an uncertainty of 5%. 9234 1451 161 9234 1451 162 9234 1451 163 MF=32 Covariances of resonance parameters 9234 1451 164 MT=151 Resolved resonance parameterss 9234 1451 165 Format of LCOMP=0 was adopted. 9234 1451 166 9234 1451 167 Uncertainties of parameters were taken from Mughabghab /18/. 9234 1451 168 Those of neutron widths were due to the uncertainties of the 9234 1451 169 fission area. For the parameters without any information on 9234 1451 170 uncertainty, the following uncertainties were assumed: 9234 1451 171 Resonance energy 0.1 % 9234 1451 172 Neutron width 20 % 9234 1451 173 Capture width 50 % 9234 1451 174 Fission width 50 % 9234 1451 175 9234 1451 176 9234 1451 177 MF=33 Covariances of neutron cross sections 9234 1451 178 Covariances were given to all the cross sections by using 9234 1451 179 KALMAN code/19/ and the covariances of model parameters 9234 1451 180 used in the cross-section calculations. 9234 1451 181 9234 1451 182 For the fission cross section, covariances obtained with the 9234 1451 183 GMA analysis were adopted. Standard deviations (SD) were 9234 1451 184 multiplied by a factor of 1.5. 9234 1451 185 9234 1451 186 In the resolved resonance region, the following standard 9234 1451 187 deviations were added to the contributions from resonance 9234 1451 188 parameters: 9234 1451 189 Total 30 % 9234 1451 190 Elastic scattering 20 % 9234 1451 191 Capture 30 % 9234 1451 192 9234 1451 193 9234 1451 194 MF=34 Covariances for Angular Distributions 9234 1451 195 MT=2 Elastic scattering 9234 1451 196 Covariances were given only to P1 components. 9234 1451 197 9234 1451 198 9234 1451 199 MF=35 Covariances for Energy Distributions 9234 1451 200 MT=18 Fission spectra 9234 1451 201 Estimated with CCONE and KALMAN codes. 9234 1451 202 9234 1451 203 9234 1451 204 ***************************************************************** 9234 1451 205 Calculation with CCONE code 9234 1451 206 ***************************************************************** 9234 1451 207 9234 1451 208 Models and parameters used in the CCONE/5/ calculation 9234 1451 209 1) Coupled channel optical model 9234 1451 210 Levels in the rotational band were included. Optical model 9234 1451 211 potential and coupled levels are shown in Table 1. 9234 1451 212 9234 1451 213 2) Two-component exciton model/20/ 9234 1451 214 * Global parametrization of Koning-Duijvestijn/21/ 9234 1451 215 was used. 9234 1451 216 * Gamma emission channel/22/ was added to simulate direct 9234 1451 217 and semi-direct capture reaction. 9234 1451 218 9234 1451 219 3) Hauser-Feshbach statistical model 9234 1451 220 * Moldauer width fluctuation correction/23/ was included. 9234 1451 221 * Neutron, gamma and fission decay channel were included. 9234 1451 222 * Transmission coefficients of neutrons were taken from 9234 1451 223 coupled channel calculation in Table 1. 9234 1451 224 * The level scheme of the target is shown in Table 2. 9234 1451 225 * Level density formula of constant temperature and Fermi-gas 9234 1451 226 model were used with shell energy correction and collective 9234 1451 227 enhancement factor. Parameters are shown in Table 3. 9234 1451 228 * Fission channel: 9234 1451 229 Double humped fission barriers were assumed. 9234 1451 230 Fission barrier penetrabilities were calculated with 9234 1451 231 Hill-Wheler formula/24/. Fission barrier parameters were 9234 1451 232 shown in Table 4. Transition state model was used and 9234 1451 233 continuum levels are assumed above the saddles. The level 9234 1451 234 density parameters for inner and outer saddles are shown in 9234 1451 235 Tables 5 and 6, respectively. 9234 1451 236 * Gamma-ray strength function of Kopecky et al/25/,/26/ 9234 1451 237 was used. The prameters are shown in Table 7. 9234 1451 238 9234 1451 239 9234 1451 240 ------------------------------------------------------------------9234 1451 241 Tables 9234 1451 242 ------------------------------------------------------------------9234 1451 243 9234 1451 244 Table 1. Coupled channel calculation 9234 1451 245 -------------------------------------------------- 9234 1451 246 * rigid rotor model was applied 9234 1451 247 * coupled levels = 0,1,2,3,5 (see Table 2) 9234 1451 248 * optical potential parameters /14/ 9234 1451 249 Volume: 9234 1451 250 V_0 = 49.97 MeV 9234 1451 251 lambda_HF = 0.01004 1/MeV 9234 1451 252 C_viso = 15.9 MeV 9234 1451 253 A_v = 12.04 MeV 9234 1451 254 B_v = 81.36 MeV 9234 1451 255 E_a = 385 MeV 9234 1451 256 r_v = 1.2568 fm 9234 1451 257 a_v = 0.633 fm 9234 1451 258 Surface: 9234 1451 259 W_0 = 17.2 MeV 9234 1451 260 B_s = 11.19 MeV 9234 1451 261 C_s = 0.01361 1/MeV 9234 1451 262 C_wiso = 23.5 MeV 9234 1451 263 r_s = 1.1803 fm 9234 1451 264 a_s = 0.601 fm 9234 1451 265 Spin-orbit: 9234 1451 266 V_so = 5.75 MeV 9234 1451 267 lambda_so = 0.005 1/MeV 9234 1451 268 W_so = -3.1 MeV 9234 1451 269 B_so = 160 MeV 9234 1451 270 r_so = 1.1214 fm 9234 1451 271 a_so = 0.59 fm 9234 1451 272 Coulomb: 9234 1451 273 C_coul = 1.3 9234 1451 274 r_c = 1.2452 fm 9234 1451 275 a_c = 0.545 fm 9234 1451 276 Deformation: 9234 1451 277 beta_2 = 0.213 9234 1451 278 beta_4 = 0.066 9234 1451 279 beta_6 = 0.0015 9234 1451 280 9234 1451 281 * Calculated strength function 9234 1451 282 S0= 0.76e-4 S1= 1.99e-4 R'= 9.48 fm (En=1 keV) 9234 1451 283 -------------------------------------------------- 9234 1451 284 9234 1451 285 Table 2. Level Scheme of U-237 9234 1451 286 ------------------- 9234 1451 287 No. Ex(MeV) J PI 9234 1451 288 ------------------- 9234 1451 289 0 0.00000 1/2 + * 9234 1451 290 1 0.01139 3/2 + * 9234 1451 291 2 0.05630 5/2 + * 9234 1451 292 3 0.08286 7/2 + * 9234 1451 293 4 0.15996 5/2 + 9234 1451 294 5 0.16300 9/2 + * 9234 1451 295 6 0.20419 7/2 + 9234 1451 296 7 0.20500 11/2 + 9234 1451 297 8 0.26095 9/2 + 9234 1451 298 9 0.27400 7/2 - 9234 1451 299 10 0.31600 9/2 - 9234 1451 300 11 0.32700 11/2 + 9234 1451 301 12 0.36700 11/2 - 9234 1451 302 13 0.42615 7/2 + 9234 1451 303 14 0.43200 13/2 - 9234 1451 304 15 0.43200 13/2 + 9234 1451 305 16 0.48200 9/2 + 9234 1451 306 17 0.48400 7/2 + 9234 1451 307 18 0.50600 15/2 - 9234 1451 308 19 0.53000 13/2 - 9234 1451 309 20 0.54062 1/2 - 9234 1451 310 21 0.54500 11/2 - 9234 1451 311 22 0.55100 11/2 + 9234 1451 312 23 0.55498 3/2 - 9234 1451 313 24 0.57500 21/2 + 9234 1451 314 ------------------- 9234 1451 315 *) Coupled levels in CC calculation 9234 1451 316 9234 1451 317 Table 3. Level density parameters 9234 1451 318 -------------------------------------------------------- 9234 1451 319 Nuclide a* Pair Eshell T E0 Ematch 9234 1451 320 1/MeV MeV MeV MeV MeV MeV 9234 1451 321 -------------------------------------------------------- 9234 1451 322 U-238 18.7359 1.5557 3.0121 0.3767 -0.1089 3.8153 9234 1451 323 U-237 18.6682 0.7795 2.7455 0.3584 -0.6445 2.7495 9234 1451 324 U-236 18.6005 1.5623 2.7551 0.3859 -0.1547 3.8920 9234 1451 325 U-235 18.5328 0.7828 2.6265 0.3874 -0.9246 3.1046 9234 1451 326 U-234 18.4650 1.5689 2.5578 0.3902 -0.1511 3.9087 9234 1451 327 -------------------------------------------------------- 9234 1451 328 9234 1451 329 Table 4. Fission barrier parameters 9234 1451 330 ---------------------------------------- 9234 1451 331 Nuclide V_A hw_A V_B hw_B 9234 1451 332 MeV MeV MeV MeV 9234 1451 333 ---------------------------------------- 9234 1451 334 U-238 6.320 0.800 5.200 0.600 9234 1451 335 U-237 6.150 0.650 5.750 0.500 9234 1451 336 U-236 6.400 1.040 5.050 0.550 9234 1451 337 U-235 5.790 0.400 5.470 0.300 9234 1451 338 U-234 6.180 1.040 5.080 0.600 9234 1451 339 ---------------------------------------- 9234 1451 340 9234 1451 341 Table 5. Level density above inner saddle 9234 1451 342 -------------------------------------------------------- 9234 1451 343 Nuclide a* Pair Eshell T E0 Ematch 9234 1451 344 1/MeV MeV MeV MeV MeV MeV 9234 1451 345 -------------------------------------------------------- 9234 1451 346 U-238 20.5728 1.8150 2.6000 0.3280 -0.5964 3.8150 9234 1451 347 U-237 20.4984 0.9094 2.6000 0.3431 -1.7162 3.1094 9234 1451 348 U-236 20.0594 1.8226 2.6000 0.3473 -0.8150 4.0226 9234 1451 349 U-235 20.3497 0.9133 2.6000 0.3299 -1.4981 2.9133 9234 1451 350 U-234 20.2753 1.8304 2.6000 0.3306 -0.5810 3.8304 9234 1451 351 -------------------------------------------------------- 9234 1451 352 9234 1451 353 Table 6. Level density above outer saddle 9234 1451 354 -------------------------------------------------------- 9234 1451 355 Nuclide a* Pair Eshell T E0 Ematch 9234 1451 356 1/MeV MeV MeV MeV MeV MeV 9234 1451 357 -------------------------------------------------------- 9234 1451 358 U-238 21.1238 1.8150 0.2200 0.3757 -0.0486 4.0150 9234 1451 359 U-237 20.4984 0.9094 0.1800 0.3828 -0.9590 3.1094 9234 1451 360 U-236 20.0594 1.8226 0.1400 0.3882 -0.0489 4.0226 9234 1451 361 U-235 20.3497 0.9133 0.1000 0.3706 -0.7868 2.9133 9234 1451 362 U-234 20.2753 1.8304 0.0600 0.3719 0.1310 3.8304 9234 1451 363 -------------------------------------------------------- 9234 1451 364 9234 1451 365 Table 7. Gamma-ray strength function for U-238 9234 1451 366 -------------------------------------------------------- 9234 1451 367 K0 = 1.501 E0 = 4.500 (MeV) 9234 1451 368 * E1: ER = 10.90 (MeV) EG = 2.50 (MeV) SIG = 300.00 (mb) 9234 1451 369 ER = 13.80 (MeV) EG = 4.70 (MeV) SIG = 450.00 (mb) 9234 1451 370 * M1: ER = 6.62 (MeV) EG = 4.00 (MeV) SIG = 2.66 (mb) 9234 1451 371 * E2: ER = 10.17 (MeV) EG = 3.25 (MeV) SIG = 6.51 (mb) 9234 1451 372 -------------------------------------------------------- 9234 1451 373 9234 1451 374 9234 1451 375 References 9234 1451 376 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9234 1451 377 2) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9234 1451 378 3) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9234 1451 379 4) R.Waldo et al.: Phys. Rev., C23, 1113 (1981). 9234 1451 380 5) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9234 1451 381 6) M.C.Brady, T.R.England: Nucl. Sci. Eng., 103, 129 (1989). 9234 1451 382 7) T.Ohsawa: J.Nucl. Radiochem. Sci., 9, 19 (2008). 9234 1451 383 8) G.Audi: Private communication (April 2009). 9234 1451 384 9) J.Katakura et al.: JAERI 1343 (2001). 9234 1451 385 10) T.R.England et al.: LA-11151-MS (1988). 9234 1451 386 11) R.Sher, C.Beck: EPRI NP-1771 (1981). 9234 1451 387 12) J.H.McNally et al.: Phys. Rev., C9, 717 (1974). 9234 1451 388 13) Y.Kikuchi et al.: JAERI-Data/Code 99-025 (1999) in Japanese. 9234 1451 389 14) E.Sh.Soukhovitskii et al.: Phys. Rev. C72, 024604 (2005). 9234 1451 390 15) J.T.Burke et al.: Phys. Rev. C73, 054604 (2006). 9234 1451 391 16) W.P.Poenitz: BNL-NCS-51363, Vol.I, p.249 (1981). 9234 1451 392 S.Chiba, D.L.Smith: ANL/NDM-121 (1991). 9234 1451 393 17) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9234 1451 394 18) S.F.Mughabghab: "Atlas of Neutron Resonances," Elsevier 9234 1451 395 (2006). 9234 1451 396 19) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9234 1451 397 Japanese. 9234 1451 398 20) C.Kalbach: Phys. Rev. C33, 818 (1986). 9234 1451 399 21) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9234 1451 400 22) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9234 1451 401 23) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9234 1451 402 24) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9234 1451 403 25) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9234 1451 404 26) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9234 1451 405 9234 1451 406 1 451 420 19234 1451 407 2 151 4 19234 1451 408 3 4 34 19234 1451 409 3 16 14 19234 1451 410 3 17 9 19234 1451 411 3 18 2973 19234 1451 412 3 37 6 19234 1451 413 3 102 3109 19234 1451 414 8 4 2 19234 1451 415 8 16 2 19234 1451 416 8 17 2 19234 1451 417 8 18 2 19234 1451 418 8 37 2 19234 1451 419 8 102 2 19234 1451 420 9234 1 099999 9234 0 0 0 9.223700+4 2.350130+2 0 0 1 09234 2151 1 9.223700+4 1.000000+0 0 0 1 09234 2151 2 1.000000-5 2.000000+2 0 0 0 09234 2151 3 5.000000-1 9.380000-1 0 0 0 09234 2151 4 9234 2 099999 9234 0 0 0 9.223700+4 2.350130+2 0 0 0 09234 3 4 1 0.000000+0-1.139000+4 0 0 1 929234 3 4 2 92 2 9234 3 4 3 1.143850+4 0.000000+0 2.000000+4 2.821670-1 3.000000+4 3.512960-19234 3 4 4 5.000000+4 4.657090-1 5.653960+4 4.976380-1 7.000000+4 5.960566-19234 3 4 5 8.321260+4 6.855609-1 1.000000+5 8.056715-1 1.109380+5 8.580683-19234 3 4 6 1.200000+5 9.014948-1 1.400000+5 9.921077-1 1.606410+5 1.086609+09234 3 4 7 1.636940+5 1.104848+0 1.700000+5 1.139806+0 2.000000+5 1.314629+09234 3 4 8 2.050590+5 1.331405+0 2.058720+5 1.334795+0 2.500000+5 1.486991+09234 3 4 9 2.620600+5 1.529402+0 2.751660+5 1.575089+0 3.000000+5 1.666553+09234 3 4 10 3.173450+5 1.690154+0 3.283910+5 1.705004+0 3.685620+5 1.765489+09234 3 4 11 4.000000+5 1.816586+0 4.279630+5 1.867676+0 4.338380+5 1.879886+09234 3 4 12 4.840510+5 1.987888+0 4.860590+5 1.992419+0 4.860600+5 1.992421+09234 3 4 13 5.000000+5 2.025689+0 5.081530+5 2.032886+0 5.322550+5 2.052246+09234 3 4 14 5.429200+5 2.061314+0 5.473190+5 2.072159+0 5.533450+5 2.081673+09234 3 4 15 5.573410+5 2.087515+0 5.573420+5 2.087518+0 5.774470+5 2.128706+09234 3 4 16 6.000000+5 2.167811+0 7.000000+5 2.363081+0 8.000000+5 2.519886+09234 3 4 17 9.000000+5 2.683304+0 1.000000+6 2.850539+0 1.100000+6 2.990442+09234 3 4 18 1.200000+6 3.113356+0 1.300000+6 3.215147+0 1.400000+6 3.303204+09234 3 4 19 1.500000+6 3.367878+0 1.600000+6 3.422631+0 1.700000+6 3.454975+09234 3 4 20 1.800000+6 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9.052038+0 1.123299+2 9.393879+09234 3 18 1954 1.123423+2 9.664973+0 1.123567+2 9.921288+0 1.123680+2 1.007426+19234 3 18 1955 1.123794+2 1.018323+1 1.123923+2 1.024963+1 1.123998+2 1.025995+19234 3 18 1956 1.124105+2 1.023832+1 1.124227+2 1.016260+1 1.124351+2 1.003115+19234 3 18 1957 1.124485+2 9.829043+0 1.124640+2 9.523257+0 1.124768+2 9.215965+09234 3 18 1958 1.124907+2 8.837272+0 1.125086+2 8.289354+0 1.125295+2 7.582582+09234 3 18 1959 1.125625+2 6.389068+0 1.125921+2 5.310896+0 1.126095+2 4.702927+09234 3 18 1960 1.126269+2 4.126099+0 1.126398+2 3.723834+0 1.126526+2 3.345146+09234 3 18 1961 1.126623+2 3.077545+0 1.126720+2 2.824594+0 1.126828+2 2.559574+09234 3 18 1962 1.126915+2 2.359424+0 1.127002+2 2.171356+0 1.127089+2 1.995218+09234 3 18 1963 1.127176+2 1.830770+0 1.127263+2 1.677709+0 1.127350+2 1.535678+09234 3 18 1964 1.127437+2 1.404262+0 1.127508+2 1.303584+0 1.127593+2 1.193262+09234 3 18 1965 1.127678+2 1.091710+0 1.127762+2 9.984707-1 1.127847+2 9.130445-19234 3 18 1966 1.127932+2 8.349625-1 1.128016+2 7.637057-1 1.128101+2 6.988325-19234 3 18 1967 1.128185+2 6.398628-1 1.128270+2 5.863544-1 1.128355+2 5.378656-19234 3 18 1968 1.128415+2 5.060936-1 1.128480+2 4.746434-1 1.128544+2 4.455354-19234 3 18 1969 1.128609+2 4.186096-1 1.128673+2 3.937124-1 1.128737+2 3.706996-19234 3 18 1970 1.128802+2 3.494357-1 1.128866+2 3.297916-1 1.128931+2 3.116441-19234 3 18 1971 1.128995+2 2.948792-1 1.129060+2 2.793914-1 1.129124+2 2.650805-19234 3 18 1972 1.129188+2 2.518523-1 1.129285+2 2.338532-1 1.129382+2 2.178277-19234 3 18 1973 1.129454+2 2.069591-1 1.129535+2 1.959165-1 1.129615+2 1.858549-19234 3 18 1974 1.129696+2 1.766723-1 1.129777+2 1.682766-1 1.129857+2 1.605855-19234 3 18 1975 1.129978+2 1.502122-1 1.130099+2 1.410439-1 1.130220+2 1.328993-19234 3 18 1976 1.130340+2 1.256250-1 1.130461+2 1.190937-1 1.130582+2 1.131979-19234 3 18 1977 1.130703+2 1.078491-1 1.130872+2 1.011395-1 1.131041+2 9.519081-29234 3 18 1978 1.131210+2 8.987302-2 1.131380+2 8.508505-2 1.131549+2 8.074634-29234 3 18 1979 1.131718+2 7.679323-2 1.131943+2 7.203437-2 1.132169+2 6.777350-29234 3 18 1980 1.132394+2 6.393533-2 1.132652+2 5.998888-2 1.132797+2 5.794974-29234 3 18 1981 1.133087+2 5.421301-2 1.133377+2 5.087402-2 1.133668+2 4.787574-29234 3 18 1982 1.133958+2 4.517134-2 1.134248+2 4.272256-2 1.134538+2 4.049718-29234 3 18 1983 1.134828+2 3.846829-2 1.135150+2 3.641716-2 1.135473+2 3.455365-29234 3 18 1984 1.135795+2 3.285520-2 1.136117+2 3.130273-2 1.136600+2 2.921238-29234 3 18 1985 1.137084+2 2.736803-2 1.137551+2 2.578388-2 1.137986+2 2.446009-29234 3 18 1986 1.138421+2 2.326291-2 1.138856+2 2.217683-2 1.139436+2 2.087901-29234 3 18 1987 1.140016+2 1.972950-2 1.140596+2 1.870712-2 1.141176+2 1.779446-29234 3 18 1988 1.141756+2 1.697705-2 1.142368+2 1.620414-2 1.143013+2 1.547745-29234 3 18 1989 1.143657+2 1.482849-2 1.144302+2 1.424749-2 1.145269+2 1.348586-29234 3 18 1990 1.146235+2 1.283650-2 1.147202+2 1.228165-2 1.148120+2 1.182893-29234 3 18 1991 1.149039+2 1.143838-2 1.150263+2 1.100059-2 1.151488+2 1.064442-29234 3 18 1992 1.152712+2 1.035877-2 1.153937+2 1.013491-2 1.155161+2 9.966097-39234 3 18 1993 1.156386+2 9.847244-3 1.158030+2 9.759883-3 1.159061+2 9.744896-39234 3 18 1994 1.160643+2 9.779520-3 1.162226+2 9.883823-3 1.163808+2 1.005965-29234 3 18 1995 1.165390+2 1.031122-2 1.166973+2 1.064622-2 1.168032+2 1.092243-29234 3 18 1996 1.169096+2 1.124664-2 1.170161+2 1.162310-2 1.171225+2 1.205852-29234 3 18 1997 1.172289+2 1.256113-2 1.173353+2 1.314111-2 1.174418+2 1.381105-29234 3 18 1998 1.175216+2 1.438180-2 1.176014+2 1.501981-2 1.176706+2 1.563441-29234 3 18 1999 1.177398+2 1.631391-2 1.178089+2 1.706704-2 1.178781+2 1.790426-29234 3 18 2000 1.179473+2 1.883810-2 1.180165+2 1.988345-2 1.180856+2 2.105814-29234 3 18 2001 1.181548+2 2.238362-2 1.182080+2 2.352188-2 1.182612+2 2.477902-29234 3 18 2002 1.183144+2 2.617205-2 1.183676+2 2.772107-2 1.184208+2 2.945031-29234 3 18 2003 1.184740+2 3.138877-2 1.185139+2 3.300096-2 1.185538+2 3.476828-29234 3 18 2004 1.185977+2 3.691672-2 1.186323+2 3.878112-2 1.186669+2 4.081721-29234 3 18 2005 1.187015+2 4.304724-2 1.187360+2 4.549736-2 1.187706+2 4.819845-29234 3 18 2006 1.188052+2 5.118714-2 1.188398+2 5.450736-2 1.188704+2 5.776281-29234 3 18 2007 1.188970+2 6.087184-2 1.189236+2 6.427584-2 1.189502+2 6.801553-29234 3 18 2008 1.189768+2 7.213961-2 1.190034+2 7.670696-2 1.190300+2 8.178982-29234 3 18 2009 1.190566+2 8.747869-2 1.190805+2 9.321306-2 1.191018+2 9.889015-29234 3 18 2010 1.191231+2 1.052145-1 1.191444+2 1.123149-1 1.191604+2 1.182501-19234 3 18 2011 1.191763+2 1.248089-1 1.191923+2 1.321087-1 1.192083+2 1.402965-19234 3 18 2012 1.192242+2 1.495610-1 1.192349+2 1.564512-1 1.192482+2 1.660179-19234 3 18 2013 1.192602+2 1.756922-1 1.192721+2 1.865591-1 1.192841+2 1.988370-19234 3 18 2014 1.192961+2 2.127792-1 1.193041+2 2.231474-1 1.193120+2 2.344969-19234 3 18 2015 1.193200+2 2.469403-1 1.193280+2 2.606096-1 1.193360+2 2.756466-19234 3 18 2016 1.193440+2 2.922158-1 1.193519+2 3.104902-1 1.193599+2 3.306692-19234 3 18 2017 1.193679+2 3.529648-1 1.193746+2 3.733357-1 1.193812+2 3.954887-19234 3 18 2018 1.193879+2 4.195892-1 1.193945+2 4.458038-1 1.194012+2 4.743265-19234 3 18 2019 1.194078+2 5.053452-1 1.194145+2 5.390772-1 1.194211+2 5.757385-19234 3 18 2020 1.194278+2 6.155816-1 1.194344+2 6.588422-1 1.194411+2 7.057948-19234 3 18 2021 1.194477+2 7.567066-1 1.194544+2 8.118869-1 1.194610+2 8.716222-19234 3 18 2022 1.194677+2 9.362428-1 1.194743+2 1.006062+0 1.194823+2 1.097320+09234 3 18 2023 1.194903+2 1.197177+0 1.194983+2 1.306279+0 1.195063+2 1.425249+09234 3 18 2024 1.195142+2 1.554758+0 1.195222+2 1.695439+0 1.195302+2 1.847959+09234 3 18 2025 1.195382+2 2.012917+0 1.195462+2 2.191008+0 1.195542+2 2.382761+09234 3 18 2026 1.195635+2 2.624386+0 1.195715+2 2.847360+0 1.195794+2 3.085622+09234 3 18 2027 1.195874+2 3.339573+0 1.195954+2 3.609557+0 1.196034+2 3.895822+09234 3 18 2028 1.196113+2 4.198512+0 1.196233+2 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1.041970+2 5.466054+1 1.042058+2 4.973354+19234 3102 1958 1.042146+2 4.517620+1 1.042212+2 4.199323+1 1.042277+2 3.900510+19234 3102 1959 1.042343+2 3.620452+1 1.042409+2 3.358513+1 1.042484+2 3.079965+19234 3102 1960 1.042560+2 2.822998+1 1.042635+2 2.586383+1 1.042710+2 2.368987+19234 3102 1961 1.042785+2 2.169601+1 1.042861+2 1.987103+1 1.042936+2 1.820340+19234 3102 1962 1.043011+2 1.668253+1 1.043087+2 1.529706+1 1.043162+2 1.403736+19234 3102 1963 1.043212+2 1.326247+1 1.043275+2 1.236309+1 1.043337+2 1.153433+19234 3102 1964 1.043400+2 1.077099+1 1.043463+2 1.006853+1 1.043525+2 9.422201+09234 3102 1965 1.043588+2 8.827999+0 1.043650+2 8.281780+0 1.043713+2 7.779913+09234 3102 1966 1.043776+2 7.318673+0 1.043838+2 6.894966+0 1.043901+2 6.505616+09234 3102 1967 1.043964+2 6.147853+0 1.044026+2 5.818900+0 1.044089+2 5.516416+09234 3102 1968 1.044151+2 5.238056+0 1.044214+2 4.981787+0 1.044302+2 4.656062+09234 3102 1969 1.044390+2 4.365106+0 1.044477+2 4.104616+0 1.044565+2 3.870884+09234 3102 1970 1.044653+2 3.660552+0 1.044741+2 3.470780+0 1.044828+2 3.298999+09234 3102 1971 1.044916+2 3.143028+0 1.045004+2 3.000892+0 1.045135+2 2.810093+09234 3102 1972 1.045267+2 2.642030+0 1.045399+2 2.492820+0 1.045530+2 2.359402+09234 3102 1973 1.045668+2 2.233817+0 1.045819+2 2.110718+0 1.045969+2 1.999837+09234 3102 1974 1.046120+2 1.899299+0 1.046320+2 1.778777+0 1.046521+2 1.671222+09234 3102 1975 1.046721+2 1.574532+0 1.046922+2 1.487077+0 1.047123+2 1.407568+09234 3102 1976 1.047348+2 1.326361+0 1.047599+2 1.244956+0 1.047850+2 1.171545+09234 3102 1977 1.048100+2 1.105052+0 1.048351+2 1.044591+0 1.048601+2 9.894216-19234 3102 1978 1.048852+2 9.389207-1 1.049103+2 8.925575-1 1.049391+2 8.437615-19234 3102 1979 1.049717+2 7.937267-1 1.050043+2 7.484517-1 1.050369+2 7.073359-19234 3102 1980 1.050694+2 6.698725-1 1.051020+2 6.356322-1 1.051346+2 6.042489-19234 3102 1981 1.051672+2 5.754083-1 1.052061+2 5.439678-1 1.052512+2 5.109920-19234 3102 1982 1.052963+2 4.813270-1 1.053414+2 4.545403-1 1.053866+2 4.302687-19234 3102 1983 1.054317+2 4.082051-1 1.054768+2 3.880888-1 1.055219+2 3.696972-19234 3102 1984 1.055771+2 3.492851-1 1.056423+2 3.277154-1 1.057074+2 3.085291-19234 3102 1985 1.057726+2 2.913906-1 1.058378+2 2.760197-1 1.059030+2 2.621817-19234 3102 1986 1.059681+2 2.496802-1 1.060333+2 2.383515-1 1.061160+2 2.254479-19234 3102 1987 1.061912+2 2.149690-1 1.062665+2 2.055310-1 1.063667+2 1.943545-19234 3102 1988 1.064670+2 1.845661-1 1.065673+2 1.759669-1 1.066676+2 1.683947-19234 3102 1989 1.067678+2 1.617166-1 1.068681+2 1.558246-1 1.069795+2 1.500890-19234 3102 1990 1.070910+2 1.451061-1 1.072024+2 1.407876-1 1.073139+2 1.370663-19234 3102 1991 1.074810+2 1.324825-1 1.076482+2 1.289567-1 1.078176+2 1.263718-19234 3102 1992 1.079916+2 1.246878-1 1.081656+2 1.239311-1 1.082236+2 1.238774-19234 3102 1993 1.083590+2 1.241364-1 1.084943+2 1.249503-1 1.086297+2 1.263499-19234 3102 1994 1.087650+2 1.283693-1 1.089004+2 1.310536-1 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