JENDL-5 (Neutron sublibrary (activation cs)) U -233 0 0 0 0 9.223300+4 2.310380+2 0 0 6 19222 1451 1 0.000000+0 1.000000+0 0 0 0 69222 1451 2 1.000000+0 2.000000+7 0 0 10 59222 1451 3 2.936000+2 0.000000+0 4 0 710 149222 1451 4 92-U -233 JAEA+ EVAL-JAN10 O.Iwamoto,N.Otuka,S.Chiba,et al. 9222 1451 5 DIST-DEC21 20111206 9222 1451 6 ----JENDL-5 MATERIAL 9222 9222 1451 7 -----INCIDENT NEUTRON DATA 9222 1451 8 ------ENDF-6 FORMAT 9222 1451 9 9222 1451 10 History 9222 1451 11 06-07 Total and fission cross sections were modified. 9222 1451 12 06-10 Nu-p was modified. 9222 1451 13 07-06 Theoretical calculation was made with CCONE code. 9222 1451 14 07-08 Theoretical calculation was made with CCONE code. 9222 1451 15 07-11 Fission cross section was revised with simultaneous 9222 1451 16 evaluation. 9222 1451 17 07-12 Fission cross section was revised with new results of 9222 1451 18 simultaneous evaluation. 9222 1451 19 08-01 Fission cross section was revised. 9222 1451 20 08-02 Fission cross section and nu-p were revised. 9222 1451 21 CCONE calculation was made with revised parameters. 9222 1451 22 08-03 Interpolation of (5,18) was changed. 9222 1451 23 Data were compiled as JENDL/AC-2008/1/. 9222 1451 24 09-04 MF01 was revised. 9222 1451 25 09-08 (MF1,MT458) was evaluated. 9222 1451 26 09-10 fission cross section was revised. 9222 1451 27 10-01 Data of prompt gamma rays due to fission were given. 9222 1451 28 10-03 Covariance data were given. 9222 1451 29 11-07 Covariance data in RRR were revised. 9222 1451 30 18-08 JENDL-5a 9222 1451 31 (MF3/MT18) preliminary SOK result 9222 1451 32 (MF3/MT19,20,21,38) renormalized 9222 1451 33 19-12 JENDL-5a2 9222 1451 34 (MF3/MT18) SOK-2019 result was adopted 9222 1451 35 (MF3/MT19,20,21,38) renormalized 9222 1451 36 20-03 JENDL-5a3 9222 1451 37 (MF2/MT151) AWR was changed to the same vale as others 9222 1451 38 (MF3/MT1) recalculated 9222 1451 39 20-10 JENDL-5a4 9222 1451 40 (MF3/MT18) SOK(20201009) was adopted 9222 1451 41 (MF3/MT19,20,21,38) deleted 9222 1451 42 21-06 JENDL-5b1 9222 1451 43 (MF1/MT456) revised for 1-3 MeV 9222 1451 44 (MF3/MT18) SOK(20210404) was adopted above 10 keV 9222 1451 45 9222 1451 46 21-11 revised by O.Iwamoto 9222 1451 47 (MF8/MT4,16-18,37,102) added 9222 1451 48 21-12 (MF33/MT18) SOK(20210404,rectangle) adopted by O.Iwamoto 9222 1451 49 9222 1451 50 9222 1451 51 MF= 1 General information 9222 1451 52 MT=452 Number of Neutrons per fission 9222 1451 53 Sum of MT=455 and 456. 9222 1451 54 9222 1451 55 MT=455 Delayed neutron data 9222 1451 56 At the thermal neutron energy, nu-d of 0.0067 was obtained 9222 1451 57 from the data of Borzakov et al./2/, Conant et al./3/ and 9222 1451 58 Keepin et al./4/. 9222 1451 59 Nu-d above 10 keV was determined from experimental data 9222 1451 60 measured by Krick and Evans/5,6/, Piksaykin et al./7/, 9222 1451 61 and Masters et al./8/. 9222 1451 62 9222 1451 63 Decay constants were taken from Ref./9/. 9222 1451 64 9222 1451 65 MT=456 Number of prompt neutrons per fission 9222 1451 66 Nu-p was determined from the data of Protopopov et al./10/, 9222 1451 67 Smirenkin et al./11/, Flerov et al./12/, Hopkins et al./13/, 9222 1451 68 Colvin et al./14,15/, Mather et al./16/, Walsh et al./17/, 9222 1451 69 Hockenbury/18/, Nurpeisov et al./19,20/, Sergachev et al./21/,9222 1451 70 Nefedov et al./22/, and Gwin et al./23,24/ 9222 1451 71 Nu-p of Cf-252 SF = 3.756+-0.031 /25/ was used. 9222 1451 72 They were reproduced with two straight lines below and above 9222 1451 73 about 1.5 MeV. 9222 1451 74 9222 1451 75 MT=458 Components of energy release due to fission 9222 1451 76 Total energy and prompt energy were calculated from mass 9222 1451 77 balance using JENDL-4 fission yields data and mass excess 9222 1451 78 evaluation. Mass excess values were from Audi's 2009 9222 1451 79 evaluation/26/. Delayed energy values were calculated from 9222 1451 80 the energy release for infinite irradiation using JENDL FP 9222 1451 81 Decay Data File 2000 and JENDL-4 yields data. For delayed 9222 1451 82 neutron energy, as the JENDL FP Decay Data File 2000/27/ does 9222 1451 83 not include average neutron energy values, the average values 9222 1451 84 were calculated using the formula shown in the report by 9222 1451 85 T.R. England/28/. The fractions of prompt energy were 9222 1451 86 calculated using the fractions of Sher's evaluation/29/ when 9222 1451 87 they were provided. When the fractions were not given by Sher,9222 1451 88 averaged fractions were used. 9222 1451 89 9222 1451 90 9222 1451 91 MF= 2 Resonance parameters 9222 1451 92 MT=151 9222 1451 93 Resolved resonance parameters (RM: 1.0-5 eV - 600 eV) 9222 1451 94 Evaluation by Leal et al. for ENDF/B-VII.0 was adopted. 9222 1451 95 9222 1451 96 See Appendix A1. 9222 1451 97 9222 1451 98 Unresolved resonance parameters (600 eV - 30 keV) 9222 1451 99 Parameters were determined with ASREP code/30/ so as to 9222 1451 100 reproduce total, fission and capture cross sections. 9222 1451 101 9222 1451 102 Thermal cross sections and resonance integrals (at 300K) 9222 1451 103 ------------------------------------------------------- 9222 1451 104 0.0253 eV reson. integ.(*) 9222 1451 105 (barns) (barns) 9222 1451 106 ------------------------------------------------------- 9222 1451 107 total 588.77 9222 1451 108 elastic 12.18 9222 1451 109 fission 531.34 775 9222 1451 110 capture 45.26 139 9222 1451 111 ------------------------------------------------------- 9222 1451 112 (*) In the energy range from 0.5 eV to 10 MeV. 9222 1451 113 9222 1451 114 9222 1451 115 MF= 3 Neutron cross sections 9222 1451 116 Cross sections above the resolved resonance region except for 9222 1451 117 the total (MT=1), elastic scattering (MT=2) and fission cross 9222 1451 118 sections (MT=18, 19, 20, 21, 38) were calculated with CCONE 9222 1451 119 code/31/. The model parameters were determined by considering 9222 1451 120 integral experimental data as well as measured cross-section 9222 1451 121 data. 9222 1451 122 9222 1451 123 In the CCONE calculation the CC OMP of Soukhovitskii et al./32/ 9222 1451 124 was modified so as to reproduce well the experimental data of 9222 1451 125 total cross section measured by Poenitz et al./33,34/ and 9222 1451 126 Guber et al./35/ 9222 1451 127 9222 1451 128 Other parameters of CCONE calculation were adjusted to the 9222 1451 129 fission cross section of JENDL-3.3 and the capture cross section9222 1451 130 measured by Hopkins and Diven/36/. 9222 1451 131 9222 1451 132 The results of CC calculation for the elastic scattering was 9222 1451 133 increased by 0.2 b above 1.5 MeV to improve integral benchmark 9222 1451 134 tests. 9222 1451 135 9222 1451 136 MT=1 Total cross section 9222 1451 137 Experimental data measured after 1960 were anlyzed by the GMA 9222 1451 138 code/37/ with the Chiba and Smith approach/38/ for PPP 9222 1451 139 minimization. 9222 1451 140 9222 1451 141 Experimental data sets are summarized below. 9222 1451 142 --------------------------------------------------------------9222 1451 143 EXFOR Energy range (eV) Authors Reference 9222 1451 144 --------------------------------------------------------------9222 1451 145 10047.095 2.26E+6 - 1.50E+7 D.G.Foster Jr.+ /39/ 9222 1451 146 10225.028 5.05E+5 - 7.96E+6 L.Green+ /40/ 9222 1451 147 10025.028 9.00E+5 - 9.89E+6 L.Green+ /40/ 9222 1451 148 10833.003 4.00E+4 - 2.09E+5 W.P.Poenitz+ /41/ 9222 1451 149 10833.002 5.80E+4 - 4.43E+6 W.P.Poenitz+ /41/ 9222 1451 150 10935.005 4.80E+4 - 4.81E+6 W.P.Poenitz+ /33/ 9222 1451 151 12323.002 3.40E+3 - 1.61E+6 D.C.Stupegia /42/ 9222 1451 152 12333.002 6.01E+2 - 8.81E+3 N.J.Pattenden+ /43/ 9222 1451 153 12853.053 1.82E+6 - 2.03E+7 W.P.Poenitz+ /34/ 9222 1451 154 13891.004 6.09E+2 - 6.85E+5 K.H.Guber+ /35/ 9222 1451 155 --------------------------------------------------------------9222 1451 156 9222 1451 157 MT=2 Elastic scattering cross section 9222 1451 158 Calculated as total - non-elstic scattering cross sections 9222 1451 159 9222 1451 160 MT=18 Fission cross section 9222 1451 161 Below 10 keV, experimental data measured after 1960 were 9222 1451 162 anlyzed by the GMA code/37/ with the Chiba and Smith 9222 1451 163 approach/38/ for PPP minimization. Data were normalized to 9222 1451 164 absolute cross section by adopting the JENDL-3.3 U-235(n,f) 9222 1451 165 cross section if the data were given as the ratios to the 9222 1451 166 U-235(n,f) cross section. 9222 1451 167 9222 1451 168 Above 10 keV, experimental data measured after 1960 were 9222 1451 169 analyzed by simultaneous fitting of U-233, U-235, U-238, 9222 1451 170 Pu-239, Pu-240 and Pu-241 fission cross sections and their 9222 1451 171 ratio by the SOK code/44/. Covariance matrix reported in 9222 1451 172 Manabe et al./45/ was also considered in the analysis. 9222 1451 173 9222 1451 174 Experimental data sets are summarized below. 9222 1451 175 g: used in GMA analysis, s: used in SOK analysis 9222 1451 176 --------------------------------------------------------------9222 1451 177 Cross section 9222 1451 178 --------------------------------------------------------------9222 1451 179 EXFOR Energy range (eV) Authors Reference 9222 1451 180 --------------------------------------------------------------9222 1451 181 gs 13890.002 6.00E+2 - 7.01E+5 K.H.Guber+ /46/ 9222 1451 182 gs 40927.002 1.94E+6 V.I.Shpakov /47/ 9222 1451 183 gs 12910.002 1.46E+7 K.R.Zasadny+ /48/ 9222 1451 184 s 40911.003 1.47E+7 I.D.Alkhazov+ /49/ 9222 1451 185 s 40610.002 4.40E+4 E.A.Zhagrov+ /50/ 9222 1451 186 s 40587.002 2.45E+4 A.V.Murzin+ /51/ 9222 1451 187 gs 10756.002 1.37E+5 - 8.05E+6 W.P.Poenitz /52/ 9222 1451 188 gs 40547.003 1.48E+7 V.M.Adamov+ /53/ 9222 1451 189 gs 32625.002 5.00E+5 - 1.00E+6 W.G.Yan+ /54/ 9222 1451 190 s 20446.002 5.00E+3 - 3.00E+4 S.Nizamuddin+ /55/ 9222 1451 191 g 20003.005 6.00E+2 - 3.00E+3 M.G.Cao+ /56/ 9222 1451 192 gs 10056.002 6.00E+2 - 9.87E+3 D.W.Bergen /57/ 9222 1451 193 s 30035.003 1.41E+7 R.H.Iyer+ /58/ 9222 1451 194 s 10267.041 7.50E+3 - 8.50E+4 R.Gwin+ /59/ 9222 1451 195 g 10056.002 6.41E+4 - 2.85E+6 D.W.Bergen /57/ 9222 1451 196 g 12360.002 6.00E+2 - 9.78E+5 D.W.Bergen+ /60/ 9222 1451 197 g 21463.002 4.00E+4 - 5.05E+5 P.H.White+ /61/ 9222 1451 198 g 40650.002 2.80E+5 - 2.63E+6 G.N.Smirenkin+ /62/ 9222 1451 199 g 12341.002 6.13E+2 - 9.60E+2 M.S.Moore+ /63/ 9222 1451 200 --------------------------------------------------------------9222 1451 201 9222 1451 202 Ratio to U-235(n,f) cross section 9222 1451 203 --------------------------------------------------------------9222 1451 204 EXFOR Energy range (eV) Authors Reference 9222 1451 205 --------------------------------------------------------------9222 1451 206 gs 41455.002 5.77E+5 - 9.75E+6 O.A.Shcherbakov+ /64/ 9222 1451 207 gs 41455.002 1.01E+7 - 1.94E+7 O.A.Shcherbakov+ /64/ 9222 1451 208 gs 13134.004 1.47E+7 J.W.Meadows+ /65/ 9222 1451 209 g 41432.003 2.00E+4 - 6.38E+6 D.L.Shpak /66/ 9222 1451 210 gs 22014.003 4.90E+5 - 6.97E+6 K.Kanda+ /67/ 9222 1451 211 gs 40607.002 6.42E+5 - 8.25E+5 D.L.Shpak+ /68/ 9222 1451 212 gs 40474.002 2.40E+4 - 7.40E+6 B.I.Fursov+ /69/ 9222 1451 213 g 40474.002 1.27E+5 - 7.00E+6 B.I.Fursov+ /69/ 9222 1451 214 s 40361.003 1.50E+4 - 1.94E+6 D.L.Shpak+ /70/ 9222 1451 215 gs 10236.002 1.42E+5 - 9.37E+6 J.W.Meadows /71/ 9222 1451 216 g 10562.003 8.50E+2 - 1.95E+7 G.W.Carlson+ /72/ 9222 1451 217 gs 20363.002 5.20E+3 - 1.01E+6 E.Pfletschinger+ /73/ 9222 1451 218 g 10084.003 6.60E+2 - 2.40E+4 W.K.Lehto+ /74/ 9222 1451 219 g 40309.003 4.85E+5 - 2.51E+6 V.G.Nesterov+ /75/ 9222 1451 220 g 40027.004 3.30E+5 - 2.58E+6 G.N.Smirenkin+ /76/ 9222 1451 221 s 22282.003 1.35E+7 - 1.49E+7 F.Manabe+ /45/ 9222 1451 222 --------------------------------------------------------------9222 1451 223 9222 1451 224 The obtained cross section in the energy range from 1 to 4 9222 1451 225 MeV and from 7 to 8 MeV was slightly modified for JENDL-4. 9222 1451 226 9222 1451 227 MT=19, 20, 21, 38 Multi-chance fission cross sections 9222 1451 228 Calculated with CCONE code, and renormalized to the total 9222 1451 229 fission cross section (MT=18). 9222 1451 230 9222 1451 231 9222 1451 232 MF= 4 Angular distributions of secondary neutrons 9222 1451 233 MT=2 Elastic scattering 9222 1451 234 Calculated with CCONE code. 9222 1451 235 9222 1451 236 MT=18 Fission 9222 1451 237 Isotropic distributions in the laboratory system were assumed.9222 1451 238 9222 1451 239 9222 1451 240 MF= 5 Energy distributions of secondary neutrons 9222 1451 241 MT=18 Prompt fission neutron spectrum 9222 1451 242 Below 5 MeV, data of JENDL-3.3/77/ were adopted. 9222 1451 243 Comment of JENDL-3.3: 9222 1451 244 * Distributions were calculated with the modified Madland-Nix 9222 1451 245 model/78,79/. The compound nucleus formation cross 9222 1451 246 sections for fission fragments (FF) were calculated using 9222 1451 247 Becchetti-Greenlees potential/80/. Up to 4th-chance-fission 9222 1451 248 were considered at high incident neuttron energies. 9222 1451 249 The Ignatyuk formula/81/ were used to generate the level 9222 1451 250 density parameters. 9222 1451 251 Parameters adopted: 9222 1451 252 Total average FF kinetic energy = 172.311-0.0212*E(MeV)9222 1451 253 Average energy release = 188.438 MeV 9222 1451 254 Average mass number of light FF = 95 9222 1451 255 Average mass number of heavy FF = 139 9222 1451 256 Level density of the light FF = 9.999- 10.094 9222 1451 257 Level density of the heavy FF = 11.89 - 12.20 9222 1451 258 Note that the parameters vary with the incident energy 9222 1451 259 within the indicated range. 9222 1451 260 9222 1451 261 Above 5.5 MeV, the distributions were calculated with CCONE 9222 1451 262 code/31/. 9222 1451 263 9222 1451 264 MT=455 Delayed neutron spectrum. 9222 1451 265 Summation calculation made by Brady and England/9/ was 9222 1451 266 adopted. 9222 1451 267 9222 1451 268 9222 1451 269 MF= 6 Energy-angle distributions 9222 1451 270 Calculated with CCONE code. 9222 1451 271 Distributions from fission (MT=18) are not included. 9222 1451 272 9222 1451 273 9222 1451 274 MF=12 Photon production multiplicities 9222 1451 275 MT=18 Fission 9222 1451 276 Calculated from the total energy released by the prompt 9222 1451 277 gamma-rays due to fission given in MF=1/MT=458 and the 9222 1451 278 average energy of gamma-rays. 9222 1451 279 9222 1451 280 9222 1451 281 MF=14 Photon angular distributions 9222 1451 282 MT=18 Fission 9222 1451 283 Isotoropic distributions were assumed. 9222 1451 284 9222 1451 285 9222 1451 286 MF=15 Continuous photon energy spectra 9222 1451 287 MT=18 Fission 9222 1451 288 Experimental data measured by Verbinski et al./82/ for 9222 1451 289 U-235 thermal fission were adopted. 9222 1451 290 9222 1451 291 9222 1451 292 MF=31 Covariances of average number of neutrons per fission 9222 1451 293 MT=452 Number of neutrons per fission 9222 1451 294 Combination of covariances for MT=455 and MT=456. 9222 1451 295 9222 1451 296 MT=455 9222 1451 297 Nu-d at 0.0253eV was estimated as 0.00067+-0.0002 from 9222 1451 298 experimental data/2,3,4/. Error of 3% was adopted. 9222 1451 299 Above 100 eV error of 8% was assumed. 9222 1451 300 9222 1451 301 MT=456 9222 1451 302 Covariance of obtained by fitting a stlight line to 9222 1451 303 experimental data (See MF1,MT456). 9222 1451 304 9222 1451 305 9222 1451 306 MF=33 Covariances of neutron cross sections 9222 1451 307 Covariances were given to all the cross sections by using 9222 1451 308 KALMAN code/84/ and the covariances of model parameters 9222 1451 309 used in the theoretical calculations. 9222 1451 310 9222 1451 311 For the following cross sections, covariances were determined 9222 1451 312 by different methods. 9222 1451 313 9222 1451 314 MT=1, 2 Total and elastic scattering cross sections 9222 1451 315 Below 600 eV, covariance matrices was calculated from those 9222 1451 316 of resonance parameters/83/. 9222 1451 317 9222 1451 318 Above 600 keV, Covariance matrix was obtained with CCONE and 9222 1451 319 KALMAN codes/84/. 9222 1451 320 9222 1451 321 MT=18 Fission cross section 9222 1451 322 Below 600 eV, covariance matrices was calculated from those 9222 1451 323 of resonance parameters/83/. 9222 1451 324 9222 1451 325 600 eV - 9 keV, covariances were obtained by GMA code. 9222 1451 326 9222 1451 327 Above 9 keV, covariance matrix was obtained by simultaneous 9222 1451 328 evaluation among the fission cross sections of U-233, U-235, 9222 1451 329 U-238, Pu-239, Pu-240 and Pu-241(See MF=3, MT=18, and /1/). 9222 1451 330 Since the variances are very small, they were adopted by 9222 1451 331 multiplying a factor of 2. 9222 1451 332 9222 1451 333 MT=102 Capture cross section 9222 1451 334 Below 600 eV, covariance matrices was calculated from those 9222 1451 335 of resonance parameters/83/. 9222 1451 336 9222 1451 337 Above 600 keV, Covariance matrix was obtained with CCONE and 9222 1451 338 KALMAN codes/84/. 9222 1451 339 9222 1451 340 9222 1451 341 MF=34 Covariances for Angular Distributions 9222 1451 342 MT=2 Elastic scattering 9222 1451 343 Covariances were given only to P1 components. 9222 1451 344 9222 1451 345 9222 1451 346 MF=35 Covariances for Energy Distributions 9222 1451 347 MT=18 Fission spectra 9222 1451 348 Below 5 MeV, based on the covarinaces given in JENDL-3.3. 9222 1451 349 Above 5 MeV, estimated with CCONE and KALMAN codes. 9222 1451 350 9222 1451 351 9222 1451 352 ***************************************************************** 9222 1451 353 Calculation with CCONE code 9222 1451 354 ***************************************************************** 9222 1451 355 9222 1451 356 Models and parameters used in the CCONE/31/ calculation 9222 1451 357 1) Coupled channel optical model 9222 1451 358 Levels in the rotational band were included. Optical model 9222 1451 359 potential and coupled levels are shown in Table 1. 9222 1451 360 9222 1451 361 2) Two-component exciton model/85/ 9222 1451 362 * Global parametrization of Koning-Duijvestijn/86/ 9222 1451 363 was used. 9222 1451 364 * Gamma emission channel/87/ was added to simulate direct 9222 1451 365 and semi-direct capture reaction. 9222 1451 366 9222 1451 367 3) Hauser-Feshbach statistical model 9222 1451 368 * Moldauer width fluctuation correction/88/ was included. 9222 1451 369 * Neutron, gamma and fission decay channel were included. 9222 1451 370 * Transmission coefficients of neutrons were taken from 9222 1451 371 coupled channel calculation in Table 1. 9222 1451 372 * The level scheme of the target is shown in Table 2. 9222 1451 373 * Level density formula of constant temperature and Fermi-gas 9222 1451 374 model were used with shell energy correction and collective 9222 1451 375 enhancement factor. Parameters are shown in Table 3. 9222 1451 376 * Fission channel: 9222 1451 377 Double humped fission barriers were assumed. 9222 1451 378 Fission barrier penetrabilities were calculated with 9222 1451 379 Hill-Wheler formula/89/. Fission barrier parameters were 9222 1451 380 shown in Table 4. Transition state model was used and 9222 1451 381 continuum levels are assumed above the saddles. The level 9222 1451 382 density parameters for inner and outer saddles are shown in 9222 1451 383 Tables 5 and 6, respectively. 9222 1451 384 * Gamma-ray strength function of Kopecky et al/90/,/91/ 9222 1451 385 was used. The prameters are shown in Table 7. 9222 1451 386 9222 1451 387 9222 1451 388 ------------------------------------------------------------------9222 1451 389 Tables 9222 1451 390 ------------------------------------------------------------------9222 1451 391 9222 1451 392 Table 1. Coupled channel calculation 9222 1451 393 -------------------------------------------------- 9222 1451 394 * rigid rotor model was applied 9222 1451 395 * coupled levels = 0,1,2,3 (see Table 2) 9222 1451 396 * optical potential parameters /32/ 9222 1451 397 Volume: 9222 1451 398 V_0 = 50.1895 MeV 9222 1451 399 lambda_HF = 0.01004 1/MeV 9222 1451 400 C_viso = 15.9 MeV 9222 1451 401 A_v = 12.04 MeV 9222 1451 402 B_v = 81.36 MeV 9222 1451 403 E_a = 385 MeV 9222 1451 404 r_v = 1.25 fm 9222 1451 405 a_v = 0.63 fm 9222 1451 406 Surface: 9222 1451 407 W_0 = 16.2027 MeV 9222 1451 408 B_s = 11.19 MeV 9222 1451 409 C_s = 0.01361 1/MeV 9222 1451 410 C_wiso = 23.5 MeV 9222 1451 411 r_s = 1.1803 fm 9222 1451 412 a_s = 0.65 fm 9222 1451 413 Spin-orbit: 9222 1451 414 V_so = 5.75 MeV 9222 1451 415 lambda_so = 0.005 1/MeV 9222 1451 416 W_so = -3.1 MeV 9222 1451 417 B_so = 160 MeV 9222 1451 418 r_so = 1.1214 fm 9222 1451 419 a_so = 0.59 fm 9222 1451 420 Coulomb: 9222 1451 421 C_coul = 1.3 9222 1451 422 r_c = 1.2452 fm 9222 1451 423 a_c = 0.545 fm 9222 1451 424 Deformation: 9222 1451 425 beta_2 = 0.205125 9222 1451 426 beta_4 = 0.076 9222 1451 427 beta_6 = 0.0015 9222 1451 428 9222 1451 429 * Calculated strength function 9222 1451 430 S0= 0.92e-4 S1= 2.11e-4 R'= 9.64 fm (En=1 keV) 9222 1451 431 -------------------------------------------------- 9222 1451 432 9222 1451 433 Table 2. Level Scheme of U-233 9222 1451 434 ------------------- 9222 1451 435 No. Ex(MeV) J PI 9222 1451 436 ------------------- 9222 1451 437 0 0.00000 5/2 + * 9222 1451 438 1 0.04035 7/2 + * 9222 1451 439 2 0.09216 9/2 + * 9222 1451 440 3 0.15523 11/2 + * 9222 1451 441 4 0.19700 7/2 + 9222 1451 442 5 0.22947 13/2 + 9222 1451 443 6 0.29881 5/2 - 9222 1451 444 7 0.30194 13/2 - 9222 1451 445 8 0.31190 3/2 + 9222 1451 446 9 0.31460 15/2 + 9222 1451 447 10 0.32083 7/2 - 9222 1451 448 11 0.33042 7/2 + 9222 1451 449 12 0.34048 5/2 + 9222 1451 450 13 0.35379 9/2 - 9222 1451 451 14 0.38043 7/2 + 9222 1451 452 15 0.39756 11/2 - 9222 1451 453 16 0.39850 1/2 + 9222 1451 454 17 0.41117 17/2 + 9222 1451 455 18 0.41576 3/2 + 9222 1451 456 19 0.42500 17/2 + 9222 1451 457 20 0.43200 9/2 + 9222 1451 458 21 0.45611 5/2 + 9222 1451 459 22 0.49700 11/2 + 9222 1451 460 23 0.50362 7/2 - 9222 1451 461 24 0.51755 19/2 + 9222 1451 462 25 0.52200 15/2 - 9222 1451 463 26 0.54654 5/2 + 9222 1451 464 27 0.56160 9/2 - 9222 1451 465 28 0.56700 5/2 - 9222 1451 466 29 0.57200 1/2 - 9222 1451 467 30 0.57500 11/2 - 9222 1451 468 ------------------- 9222 1451 469 *) Coupled levels in CC calculation 9222 1451 470 9222 1451 471 Table 3. Level density parameters 9222 1451 472 -------------------------------------------------------- 9222 1451 473 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 474 1/MeV MeV MeV MeV MeV MeV 9222 1451 475 -------------------------------------------------------- 9222 1451 476 U-234 18.4623 1.5689 2.5578 0.3903 -0.1513 3.9089 9222 1451 477 U-233 18.3945 0.7861 2.4694 0.3820 -0.8201 2.9898 9222 1451 478 U-232 18.3266 1.5757 2.6095 0.3888 -0.1142 3.8806 9222 1451 479 U-231 18.2588 0.7895 2.6793 0.3781 -0.7806 2.9485 9222 1451 480 U-230 18.1909 1.5825 2.6739 0.3937 -0.1509 3.9421 9222 1451 481 -------------------------------------------------------- 9222 1451 482 9222 1451 483 Table 4. Fission barrier parameters 9222 1451 484 ---------------------------------------- 9222 1451 485 Nuclide V_A hw_A V_B hw_B 9222 1451 486 MeV MeV MeV MeV 9222 1451 487 ---------------------------------------- 9222 1451 488 U-234 6.000 1.040 5.400 0.600 9222 1451 489 U-233 5.600 0.800 5.400 0.520 9222 1451 490 U-232 5.500 1.040 5.000 0.600 9222 1451 491 U-231 6.000 0.800 5.600 0.520 9222 1451 492 U-230 5.800 1.040 5.100 0.600 9222 1451 493 ---------------------------------------- 9222 1451 494 9222 1451 495 Table 5. Level density above inner saddle 9222 1451 496 -------------------------------------------------------- 9222 1451 497 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 498 1/MeV MeV MeV MeV MeV MeV 9222 1451 499 -------------------------------------------------------- 9222 1451 500 U-234 21.7235 1.8304 2.6000 0.3321 -0.7507 4.0304 9222 1451 501 U-233 20.2008 0.9172 2.6000 0.3667 -2.0299 3.4172 9222 1451 502 U-232 20.1263 1.8383 2.6000 0.3319 -0.5731 3.8383 9222 1451 503 U-231 20.0518 0.9211 2.6000 0.3325 -1.4903 2.9211 9222 1451 504 U-230 19.9772 1.8463 2.6000 0.3332 -0.5651 3.8463 9222 1451 505 -------------------------------------------------------- 9222 1451 506 9222 1451 507 Table 6. Level density above outer saddle 9222 1451 508 -------------------------------------------------------- 9222 1451 509 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 510 1/MeV MeV MeV MeV MeV MeV 9222 1451 511 -------------------------------------------------------- 9222 1451 512 U-234 21.7235 1.8304 0.0600 0.3643 0.0626 3.9304 9222 1451 513 U-233 19.2990 0.9172 0.0200 0.4202 -1.2096 3.4172 9222 1451 514 U-232 18.3293 1.8383 -0.0200 0.4264 -0.2156 4.2383 9222 1451 515 U-231 20.0518 0.9211 -0.0600 0.3758 -0.7765 2.9211 9222 1451 516 U-230 19.9772 1.8463 -0.1000 0.3771 0.1493 3.8463 9222 1451 517 -------------------------------------------------------- 9222 1451 518 9222 1451 519 Table 7. Gamma-ray strength function for U-234 9222 1451 520 -------------------------------------------------------- 9222 1451 521 K0 = 1.600 E0 = 4.500 (MeV) 9222 1451 522 * E1: ER = 10.90 (MeV) EG = 2.50 (MeV) SIG = 299.61 (mb) 9222 1451 523 ER = 13.80 (MeV) EG = 4.70 (MeV) SIG = 450.00 (mb) 9222 1451 524 * M1: ER = 6.65 (MeV) EG = 4.00 (MeV) SIG = 2.81 (mb) 9222 1451 525 * E2: ER = 10.22 (MeV) EG = 3.30 (MeV) SIG = 6.52 (mb) 9222 1451 526 -------------------------------------------------------- 9222 1451 527 9222 1451 528 9222 1451 529 References 9222 1451 530 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9222 1451 531 2) S.B.Borzakov et al.: Phys. At. Nuclei, 61, 530 (2000). 9222 1451 532 3) J.F.Conant, P.F.Palmedo: Nucl. Sci. Eng., 44, 173 (1971). 9222 1451 533 4) G.R.Keepin et al.: Phys. Rev., 107, 1044 (1957). 9222 1451 534 5) M.S.Krick, A.E.Evans: Nucl. Sci. Eng., 47, 311 (1972). 9222 1451 535 6) A.E.Evans, M.M.Thorpd: Nucl. Sci. 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Phys. A344, 185 (1980). 9222 1451 620 89) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9222 1451 621 90) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9222 1451 622 91) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9222 1451 623 9222 1451 624 9222 1451 625 Appendix A1: Resolved resonance parameters (ENDF/B-VII.0) 9222 1451 626 ========================================================= 9222 1451 627 MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETER EVALUATIONS 9222 1451 628 L. Leal, H. Derrien, Guber, N. Larson, R. Wright, 9222 1451 629 and R.Spencer (ORNL) 9222 1451 630 January, 2003 9222 1451 631 9222 1451 632 The resonance parameter evaluation was done by Leal, 9222 1451 633 Derrien, Guber, Larson, Wright and Spencer [LE01] using the 9222 1451 634 multilevel R-matrix analysis code SAMMY [LA96]. The resolved 9222 1451 635 resonance evaluation were performed in the energy range from 0 to 9222 1451 636 600 eV. The unresolved resonance region evaluation covers the 9222 1451 637 energy range from 600 eV to 40 keV. 9222 1451 638 The evaluation included high resolution transmission data 9222 1451 639 (GU00), fission cross section data [GU98] measured at the Oak 9222 1451 640 Ridge Electron Linear Accelerator (ORELA), in addition to other 9222 1451 641 experimental data. Integral data were also included in the 9222 1451 642 evaluation. Integral quantities and thermal values calculated 9222 1451 643 with the U-233 resonance parameter are shown in the Table below. 9222 1451 644 Also shown are the results of calculations using U-233 ENDF/B-VI 9222 1451 645 evaluation and Axton standard values: 9222 1451 646 9222 1451 647 9222 1451 648 Quantity ENDF/B-VI Axton Present Eval 9222 1451 649 -------- --------- ----- ------------ 9222 1451 650 Fission 531.14 +/- 1.33 530.70 +/- 1.34 530.70 9222 1451 651 Capture 45.51 +/- 0.68 45.52 +/- 0.70 45.22 9222 1451 652 Scattering 12.13 +/- 0.66 12.19 +/- 0.67 12.18 9222 1451 653 Westcott ga 0.9996 +/- 0.0011 0.9995 +/- 0.0011 1.00325 9222 1451 654 Westcott gf 0.9955 +/- 0.0014 0.9955 +/- 0.0014 1.00045 9222 1451 655 K1 (barn) 742.60 +/- 2.40 742.25 +/- 0.0040 746.0 9222 1451 656 9222 1451 657 The following Table shows the average values of the fission 9222 1451 658 and capture cross sections of the present evaluation compared 9222 1451 659 to the previous ENDF-B6 evaluation in the energy range thermal 9222 1451 660 to 600 eV. 9222 1451 661 9222 1451 662 Energy Range Fission Capture 9222 1451 663 (eV) Present ENDF/B-VI.5 Present ENDF/B-VI.5 9222 1451 664 -------------- -------- ----------- ------ ----------- 9222 1451 665 0.001 -0.020 980.19 971.62 82.03 83.27 9222 1451 666 0.020 -0.050 462.03 460.02 39.84 40.21 9222 1451 667 0.050 -0.400 201.88 202.62 20.86 20.36 9222 1451 668 0.400 - 1.00 127.29 126.91 11.93 9.95 9222 1451 669 1.0 - 2.10 389.14 378.56 66.35 67.37 9222 1451 670 2.10 - 2.75 206.76 198.02 111.45 112.00 9222 1451 671 2.75 - 3.00 49.84 50.46 7.91 7.48 9222 1451 672 3.00 - 15.0 104.25 101.26 17.66 17.65 9222 1451 673 15.0 - 30.0 94.72 91.80 13.51 13.27 9222 1451 674 30.0 - 50.0 40.72 38.85 5.66 5.46 9222 1451 675 50.0 - 75.0 41.24 41.21 5.69 4.61 9222 1451 676 75.0 - 100 36.92 33.72 8.94 4.35 9222 1451 677 100 - 125 38.24 29.94 6.10 3.88 9222 1451 678 125 - 150 21.11 22.10 3.72 3.54 9222 1451 679 150 - 200 20.99 21.34 3.06 3.18 9222 1451 680 200 - 300 23.10 19.87 3.51 2.72 9222 1451 681 300 - 400 18.28 16.66 2.45 2.33 9222 1451 682 400 - 500 11.06 13.17 1.39 2.08 9222 1451 683 500 - 600 13.52 13.40 2.00 1.90 9222 1451 684 ----------------------------------------------------------------- 9222 1451 685 9222 1451 686 The fission and capture resonance integral calculated from 9222 1451 687 the present evaluation are 776.64 b and 139.66 b, respectively, 9222 1451 688 which compare to 760 +/ 17 b and 137 +/- 6 b reported by 9222 1451 689 Mughabghab.[MU85] 9222 1451 690 9222 1451 691 ----- REFERENCES (MF=2) ----- 9222 1451 692 9222 1451 693 GU98 K. H. Guber et al., Nuc. Sci. Eng. 135, 1(2000). 9222 1451 694 GU00 K. H. Guber et al., to be published in the Nuc. Sci. Eng. 9222 1451 695 KA85 K. Kanda et al, Measurement of Fast Neutron Induced Fission 9222 1451 696 Cross Sections of 232-Th, 233-U, and 234-U Relative to 9222 1451 697 235-U, Nuclear Data for Basic and Applied Science, Vol. 1, 9222 1451 698 Santa Fe, New Mexico (May 1985). 9222 1451 699 LA98 N. M. Lasrson, Updated User Guide for SAMMY: Multilevel R- 9222 1451 700 Matrix Fits to Neutron Data Using Bayes' Equations, 9222 1451 701 ORNL/TM-9179/R4 (December 1998). See also ORNL/TM-9170/R5. 9222 1451 702 LE01 L. C. Leal, H. Derrien, J. A. Harvey, K. H. Guber, N. M. 9222 1451 703 Larson and R. R. Spencer, R-Matrix Resonance Analysis and 9222 1451 704 Statistical Properties of the Resonance Parameters of U-233 9222 1451 705 in the Neutron Energy Range from Thermal to 600 eV, 9222 1451 706 ORNL/TM-2000/372, March 2001. 9222 1451 707 LE96 L. C. Leal and R. Q. Wright, Assessment of the Available 9222 1451 708 233-U Cross Section Evaluations in the Calculation of 9222 1451 709 Critical Benchmark Experiments, ORNL/TM-13313R (Sept 1996). 9222 1451 710 MU85 S. F. Mughabghab, Neutron Cross Sections, Vol. I. Part B 9222 1451 711 (1985). 9222 1451 712 9222 1451 713 9222 1451 714 1 451 728 19222 1451 715 2 151 4 19222 1451 716 3 4 35 19222 1451 717 3 16 13 19222 1451 718 3 17 8 19222 1451 719 3 18 4909 19222 1451 720 3 37 4 19222 1451 721 3 102 6292 19222 1451 722 8 4 2 19222 1451 723 8 16 2 19222 1451 724 8 17 2 19222 1451 725 8 18 2 19222 1451 726 8 37 2 19222 1451 727 8 102 2 19222 1451 728 9222 1 099999 9222 0 0 0 9.223300+4 2.310380+2 0 0 1 09222 2151 1 9.223300+4 1.000000+0 0 0 1 09222 2151 2 1.000000-5 6.000000+2 0 0 0 09222 2151 3 2.500000+0 9.620000-1 0 0 0 09222 2151 4 9222 2 099999 9222 0 0 0 9.223300+4 2.310380+2 0 0 0 09222 3 4 1 0.000000+0-4.035000+4 0 0 1 959222 3 4 2 95 2 9222 3 4 3 4.052460+4 0.000000+0 5.000000+4 4.183160-2 7.000000+4 8.270520-29222 3 4 4 9.255890+4 1.301490-1 1.000000+5 1.499064-1 1.109540+5 1.772411-19222 3 4 5 1.200000+5 1.998153-1 1.400000+5 2.437469-1 1.559020+5 2.753376-19222 3 4 6 1.700000+5 2.993050-1 1.978530+5 3.438319-1 2.000000+5 3.485386-19222 3 4 7 2.304630+5 3.824800-1 2.500000+5 4.019167-1 3.000000+5 4.666851-19222 3 4 8 3.001030+5 4.667391-1 3.032470+5 4.711102-1 3.132540+5 4.793602-19222 3 4 9 3.159620+5 4.824669-1 3.222190+5 4.881719-1 3.318500+5 4.998200-19222 3 4 10 3.419510+5 5.120194-1 3.553210+5 5.293339-1 3.820770+5 5.622248-19222 3 4 11 3.992810+5 5.846294-1 4.000000+5 5.855232-1 4.002210+5 5.857938-19222 3 4 12 4.129500+5 6.020457-1 4.175580+5 6.078175-1 4.268400+5 6.209631-19222 3 4 13 4.338700+5 6.304740-1 4.580880+5 6.640609-1 4.991510+5 7.247959-19222 3 4 14 5.000000+5 7.260543-1 5.058000+5 7.306809-1 5.197900+5 7.435627-19222 3 4 15 5.242590+5 7.472292-1 5.489060+5 7.657632-1 5.640310+5 7.772093-19222 3 4 16 5.694540+5 7.810757-1 5.744760+5 7.857148-1 5.774890+5 7.883602-19222 3 4 17 6.000000+5 8.050098-1 7.000000+5 8.637598-1 8.000000+5 9.313427-19222 3 4 18 9.000000+5 1.000623+0 1.000000+6 1.069800+0 1.100000+6 1.133079+09222 3 4 19 1.200000+6 1.191729+0 1.300000+6 1.244645+0 1.400000+6 1.291574+09222 3 4 20 1.500000+6 1.331839+0 1.600000+6 1.372442+0 1.700000+6 1.409467+09222 3 4 21 1.800000+6 1.449676+0 1.900000+6 1.481744+0 2.000000+6 1.510675+09222 3 4 22 2.300000+6 1.546407+0 2.500000+6 1.539008+0 2.700000+6 1.543139+09222 3 4 23 3.000000+6 1.541206+0 3.500000+6 1.555549+0 4.000000+6 1.588729+09222 3 4 24 4.500000+6 1.622361+0 5.000000+6 1.647387+0 5.500000+6 1.575764+09222 3 4 25 6.000000+6 1.305901+0 6.500000+6 1.053489+0 7.000000+6 8.812099-19222 3 4 26 7.500000+6 7.662183-1 8.000000+6 6.914165-1 8.500000+6 6.378712-19222 3 4 27 9.000000+6 5.971417-1 9.500000+6 5.639222-1 1.000000+7 5.353031-19222 3 4 28 1.050000+7 5.098076-1 1.100000+7 4.861730-1 1.150000+7 4.639728-19222 3 4 29 1.200000+7 4.429352-1 1.250000+7 4.230656-1 1.300000+7 4.040165-19222 3 4 30 1.350000+7 3.858891-1 1.400000+7 3.682880-1 1.450000+7 3.519565-19222 3 4 31 1.500000+7 3.361628-1 1.550000+7 3.216883-1 1.600000+7 3.078062-19222 3 4 32 1.650000+7 2.954294-1 1.700000+7 2.834826-1 1.750000+7 2.727114-19222 3 4 33 1.800000+7 2.625367-1 1.850000+7 2.534036-1 1.900000+7 2.447992-19222 3 4 34 1.950000+7 2.370884-1 2.000000+7 2.298249-1 9222 3 4 35 9222 3 099999 9.223300+4 2.310380+2 0 0 0 09222 3 16 1 -5.762090+6-5.762090+6 0 0 1 309222 3 16 2 30 2 9222 3 16 3 5.787030+6 0.000000+0 6.000000+6 7.529000-4 6.500000+6 2.061710-29222 3 16 4 7.000000+6 5.124690-2 7.500000+6 7.987730-2 8.000000+6 1.071920-19222 3 16 5 8.500000+6 1.338720-1 9.000000+6 1.598740-1 9.500000+6 1.853520-19222 3 16 6 1.000000+7 2.119290-1 1.050000+7 2.436080-1 1.100000+7 2.731270-19222 3 16 7 1.150000+7 2.944110-1 1.200000+7 2.941600-1 1.250000+7 2.741760-19222 3 16 8 1.300000+7 2.439330-1 1.350000+7 2.114640-1 1.400000+7 1.811950-19222 3 16 9 1.450000+7 1.543950-1 1.500000+7 1.335780-1 1.550000+7 1.162010-19222 3 16 10 1.600000+7 1.036150-1 1.650000+7 9.293580-2 1.700000+7 8.456610-29222 3 16 11 1.750000+7 7.803610-2 1.800000+7 7.284940-2 1.850000+7 6.868760-29222 3 16 12 1.900000+7 6.525360-2 1.950000+7 6.244760-2 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18 1816 1.438959+2 8.208839+0 1.439187+2 8.164223+0 1.439339+2 8.155689+09222 3 18 1817 1.439642+2 8.181033+0 1.439946+2 8.252970+0 1.440401+2 8.428336+09222 3 18 1818 1.440856+2 8.664586+0 1.441358+2 8.975096+0 1.442194+2 9.560485+09222 3 18 1819 1.443198+2 1.028303+1 1.443812+2 1.068858+1 1.444377+2 1.101253+19222 3 18 1820 1.444947+2 1.127713+1 1.445518+2 1.146862+1 1.446088+2 1.158176+19222 3 18 1821 1.446642+2 1.161659+1 1.447270+2 1.157245+1 1.447808+2 1.147306+19222 3 18 1822 1.448525+2 1.127229+1 1.450235+2 1.067986+1 1.450732+2 1.054983+19222 3 18 1823 1.451228+2 1.048665+1 1.451559+2 1.050470+1 1.451807+2 1.056399+19222 3 18 1824 1.452093+2 1.069719+1 1.452295+2 1.084586+1 1.452498+2 1.105091+19222 3 18 1825 1.452700+2 1.132457+1 1.452856+2 1.159168+1 1.453013+2 1.191576+19222 3 18 1826 1.453169+2 1.230530+1 1.453325+2 1.276957+1 1.453481+2 1.331883+19222 3 18 1827 1.453638+2 1.396393+1 1.453794+2 1.471658+1 1.453911+2 1.535890+19222 3 18 1828 1.454019+2 1.601537+1 1.454157+2 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18 1841 1.461768+2 3.061900+1 1.461915+2 2.840033+1 1.462013+2 2.701144+19222 3 18 1842 1.462176+2 2.485530+1 1.462299+2 2.336702+1 1.462421+2 2.198623+19222 3 18 1843 1.462544+2 2.070918+1 1.462666+2 1.953184+1 1.462789+2 1.844909+19222 3 18 1844 1.462912+2 1.745621+1 1.463034+2 1.654770+1 1.463157+2 1.571820+19222 3 18 1845 1.463279+2 1.496212+1 1.463402+2 1.427444+1 1.463565+2 1.345431+19222 3 18 1846 1.463728+2 1.273358+1 1.463891+2 1.210095+1 1.464055+2 1.154596+19222 3 18 1847 1.464218+2 1.105913+1 1.464381+2 1.063189+1 1.464544+2 1.025661+19222 3 18 1848 1.464773+2 9.805732+0 1.464994+2 9.440278+0 1.465214+2 9.131266+09222 3 18 1849 1.465435+2 8.869234+0 1.465655+2 8.646637+0 1.465949+2 8.400850+09222 3 18 1850 1.466243+2 8.203437+0 1.466537+2 8.046297+0 1.466978+2 7.873577+09222 3 18 1851 1.467370+2 7.773904+0 1.467763+2 7.718409+0 1.468110+2 7.702682+09222 3 18 1852 1.468538+2 7.723263+0 1.469053+2 7.802460+0 1.469567+2 7.937343+09222 3 18 1853 1.470081+2 8.124214+0 1.470596+2 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18 1866 1.490413+2 2.418480+1 1.490682+2 2.497465+1 1.490950+2 2.586568+19222 3 18 1867 1.491218+2 2.686414+1 1.491487+2 2.797592+1 1.491755+2 2.920518+19222 3 18 1868 1.492023+2 3.055408+1 1.492426+2 3.280043+1 1.492829+2 3.529957+19222 3 18 1869 1.493312+2 3.858065+1 1.494386+2 4.635275+1 1.494815+2 4.928275+19222 3 18 1870 1.495151+2 5.133553+1 1.495486+2 5.309092+1 1.495822+2 5.447321+19222 3 18 1871 1.496073+2 5.522644+1 1.496281+2 5.564918+1 1.496530+2 5.590460+19222 3 18 1872 1.496654+2 5.592831+1 1.496896+2 5.577477+1 1.497191+2 5.523480+19222 3 18 1873 1.497507+2 5.425231+1 1.497842+2 5.279238+1 1.498178+2 5.096907+19222 3 18 1874 1.498513+2 4.886027+1 1.499078+2 4.489887+1 1.499872+2 3.910114+19222 3 18 1875 1.500269+2 3.634413+1 1.500630+2 3.400425+1 1.500992+2 3.186063+19222 3 18 1876 1.501353+2 2.993088+1 1.501714+2 2.821959+1 1.502021+2 2.693296+19222 3 18 1877 1.502328+2 2.579271+1 1.502635+2 2.478889+1 1.502942+2 2.391029+19222 3 18 1878 1.503249+2 2.314507+1 1.503556+2 2.248155+1 1.504017+2 2.165265+19222 3 18 1879 1.504360+2 2.114691+1 1.504739+2 2.068227+1 1.505308+2 2.014052+19222 3 18 1880 1.505877+2 1.974968+1 1.506446+2 1.947853+1 1.507204+2 1.926323+19222 3 18 1881 1.507972+2 1.917939+1 1.508161+2 1.917621+1 1.508920+2 1.922505+19222 3 18 1882 1.509679+2 1.936679+1 1.510438+2 1.960371+1 1.511178+2 1.994169+19222 3 18 1883 1.511900+2 2.040169+1 1.512442+2 2.085810+1 1.512984+2 2.143951+19222 3 18 1884 1.513525+2 2.218059+1 1.514024+2 2.303966+1 1.514501+2 2.405507+19222 3 18 1885 1.514819+2 2.485363+1 1.515253+2 2.611768+1 1.515664+2 2.752056+19222 3 18 1886 1.516076+2 2.912856+1 1.516488+2 3.093835+1 1.516900+2 3.293112+19222 3 18 1887 1.517427+2 3.568898+1 1.518438+2 4.114390+1 1.518943+2 4.361576+19222 3 18 1888 1.519307+2 4.514374+1 1.519639+2 4.629432+1 1.519970+2 4.716835+19222 3 18 1889 1.520314+2 4.774977+1 1.520629+2 4.797803+1 1.520698+2 4.798865+19222 3 18 1890 1.520975+2 4.789121+1 1.521251+2 4.757752+1 1.521666+2 4.673800+19222 3 18 1891 1.522069+2 4.556678+1 1.522472+2 4.413973+1 1.523546+2 3.988541+19222 3 18 1892 1.524122+2 3.780868+1 1.524583+2 3.640467+1 1.525044+2 3.523926+19222 3 18 1893 1.526274+2 3.264062+1 1.526635+2 3.173881+1 1.526972+2 3.073205+19222 3 18 1894 1.527283+2 2.964229+1 1.527663+2 2.809205+1 1.527983+2 2.662982+19222 3 18 1895 1.528889+2 2.220403+1 1.529244+2 2.059724+1 1.529478+2 1.964482+19222 3 18 1896 1.529710+2 1.880878+1 1.529933+2 1.811639+1 1.530148+2 1.755958+19222 3 18 1897 1.530374+2 1.708682+1 1.530612+2 1.670950+1 1.530886+2 1.640990+19222 3 18 1898 1.531160+2 1.622709+1 1.531570+2 1.609699+1 1.532297+2 1.596377+19222 3 18 1899 1.532577+2 1.585489+1 1.532970+2 1.559958+1 1.533327+2 1.525671+19222 3 18 1900 1.533685+2 1.482113+1 1.534375+2 1.383205+1 1.534804+2 1.321587+19222 3 18 1901 1.535216+2 1.269058+1 1.535513+2 1.237838+1 1.535810+2 1.213589+19222 3 18 1902 1.536106+2 1.197245+1 1.536403+2 1.189473+1 1.536502+2 1.188868+19222 3 18 1903 1.536733+2 1.191402+1 1.536995+2 1.201005+1 1.537254+2 1.217526+19222 3 18 1904 1.537513+2 1.240806+1 1.537772+2 1.270439+1 1.538133+2 1.320964+19222 3 18 1905 1.538594+2 1.397742+1 1.539516+2 1.562414+1 1.539862+2 1.616334+19222 3 18 1906 1.540208+2 1.660497+1 1.540519+2 1.689934+1 1.540790+2 1.706873+19222 3 18 1907 1.541125+2 1.716732+1 1.541211+2 1.717391+1 1.541615+2 1.711560+19222 3 18 1908 1.542144+2 1.686963+1 1.543015+2 1.627558+1 1.543754+2 1.571320+19222 3 18 1909 1.544322+2 1.519766+1 1.544644+2 1.483885+1 1.544984+2 1.438952+19222 3 18 1910 1.545325+2 1.385922+1 1.545619+2 1.333610+1 1.546059+2 1.244990+19222 3 18 1911 1.546500+2 1.147416+1 1.547409+2 9.390115+0 1.547807+2 8.536452+09222 3 18 1912 1.548091+2 7.972405+0 1.548375+2 7.454377+0 1.548659+2 6.986749+09222 3 18 1913 1.548943+2 6.571650+0 1.549227+2 6.209384+0 1.549511+2 5.898712+09222 3 18 1914 1.549795+2 5.637441+0 1.550079+2 5.422661+0 1.550363+2 5.251185+09222 3 18 1915 1.550647+2 5.119803+0 1.550894+2 5.036059+0 1.551197+2 4.968739+09222 3 18 1916 1.551447+2 4.941115+0 1.551597+2 4.936265+0 1.551845+2 4.946821+09222 3 18 1917 1.552144+2 4.989771+0 1.552442+2 5.065825+0 1.552740+2 5.175922+09222 3 18 1918 1.553053+2 5.330315+0 1.553282+2 5.470101+0 1.553511+2 5.634733+09222 3 18 1919 1.553740+2 5.826478+0 1.553968+2 6.048060+0 1.554197+2 6.302671+09222 3 18 1920 1.554426+2 6.593981+0 1.554655+2 6.926134+0 1.554846+2 7.239049+09222 3 18 1921 1.555078+2 7.663988+0 1.555309+2 8.145153+0 1.555541+2 8.688077+09222 3 18 1922 1.555772+2 9.298294+0 1.556004+2 9.980930+0 1.556236+2 1.074126+19222 3 18 1923 1.556468+2 1.158205+1 1.556699+2 1.250523+1 1.556931+2 1.351056+19222 3 18 1924 1.557163+2 1.459534+1 1.557379+2 1.567348+1 1.557657+2 1.714086+19222 3 18 1925 1.558073+2 1.946507+1 1.558675+2 2.287045+1 1.559000+2 2.458775+19222 3 18 1926 1.559320+2 2.610204+1 1.559529+2 2.695196+1 1.559737+2 2.767111+19222 3 18 1927 1.559946+2 2.824134+1 1.560177+2 2.868055+1 1.560366+2 2.888006+19222 3 18 1928 1.560524+2 2.893044+1 1.560743+2 2.882393+1 1.560923+2 2.858407+19222 3 18 1929 1.561102+2 2.821033+1 1.561259+2 2.778057+1 1.561452+2 2.712464+19222 3 18 1930 1.561645+2 2.634210+1 1.561934+2 2.496463+1 1.562243+2 2.328424+19222 3 18 1931 1.562706+2 2.052588+1 1.563277+2 1.707304+1 1.563602+2 1.523189+19222 3 18 1932 1.563818+2 1.409074+1 1.564034+2 1.303348+1 1.564188+2 1.233511+19222 3 18 1933 1.564343+2 1.168659+1 1.564497+2 1.108950+1 1.564651+2 1.054493+19222 3 18 1934 1.564806+2 1.005323+1 1.564960+2 9.614433+0 1.565115+2 9.228044+09222 3 18 1935 1.565269+2 8.893321+0 1.565409+2 8.633114+0 1.565549+2 8.413825+09222 3 18 1936 1.565690+2 8.234468+0 1.565830+2 8.094068+0 1.565985+2 7.983230+09222 3 18 1937 1.566139+2 7.917243+0 1.566294+2 7.894910+0 1.566448+2 7.915169+09222 3 18 1938 1.566603+2 7.977119+0 1.566758+2 8.080021+0 1.566912+2 8.223334+09222 3 18 1939 1.567067+2 8.406676+0 1.567221+2 8.629916+0 1.567376+2 8.893014+09222 3 18 1940 1.567576+2 9.292870+0 1.567770+2 9.745172+0 1.567964+2 1.026208+19222 3 18 1941 1.568158+2 1.084470+1 1.568351+2 1.149417+1 1.568545+2 1.221151+19222 3 18 1942 1.568739+2 1.299745+1 1.568933+2 1.385227+1 1.569176+2 1.501751+19222 3 18 1943 1.569394+2 1.615594+1 1.569612+2 1.737507+1 1.569903+2 1.911561+19222 3 18 1944 1.570194+2 2.096758+1 1.570800+2 2.503758+1 1.571278+2 2.823998+19222 3 18 1945 1.571624+2 3.038792+1 1.571855+2 3.168174+1 1.572085+2 3.282692+19222 3 18 1946 1.572318+2 3.379987+1 1.572550+2 3.456048+1 1.572705+2 3.493699+19222 3 18 1947 1.572928+2 3.528123+1 1.573151+2 3.538041+1 1.573333+2 3.527377+19222 3 18 1948 1.573564+2 3.489533+1 1.573733+2 3.444508+1 1.573903+2 3.385403+19222 3 18 1949 1.574073+2 3.312884+1 1.574305+2 3.193652+1 1.574537+2 3.053718+19222 3 18 1950 1.574825+2 2.856107+1 1.575081+2 2.663518+1 1.575477+2 2.346750+19222 3 18 1951 1.576018+2 1.907792+1 1.576330+2 1.666210+1 1.576579+2 1.484615+19222 3 18 1952 1.576766+2 1.356865+1 1.576943+2 1.243573+1 1.577099+2 1.149868+19222 3 18 1953 1.577255+2 1.062344+1 1.577412+2 9.811100+0 1.577568+2 9.061715+09222 3 18 1954 1.577724+2 8.374674+0 1.577841+2 7.901887+0 1.577957+2 7.462214+09222 3 18 1955 1.578086+2 7.012730+0 1.578215+2 6.601120+0 1.578344+2 6.225642+09222 3 18 1956 1.578473+2 5.884508+0 1.578625+2 5.523769+0 1.578777+2 5.204785+09222 3 18 1957 1.578929+2 4.924169+0 1.579081+2 4.678591+0 1.579233+2 4.464728+09222 3 18 1958 1.579385+2 4.279392+0 1.579537+2 4.119497+0 1.579690+2 3.982148+09222 3 18 1959 1.579842+2 3.864582+0 1.579994+2 3.764294+0 1.580173+2 3.665028+09222 3 18 1960 1.580407+2 3.561157+0 1.580641+2 3.480290+0 1.580854+2 3.422024+09222 3 18 1961 1.581125+2 3.363968+0 1.581531+2 3.300019+0 1.582072+2 3.242257+09222 3 18 1962 1.582613+2 3.207492+0 1.583077+2 3.197492+0 1.583465+2 3.207173+09222 3 18 1963 1.583854+2 3.237150+0 1.584242+2 3.290494+0 1.584600+2 3.361790+09222 3 18 1964 1.584927+2 3.445471+0 1.585254+2 3.545402+0 1.585744+2 3.719650+09222 3 18 1965 1.586771+2 4.118129+0 1.587144+2 4.249460+0 1.587518+2 4.361986+09222 3 18 1966 1.587921+2 4.456615+0 1.588353+2 4.524260+0 1.588799+2 4.558885+09222 3 18 1967 1.589097+2 4.565173+0 1.589650+2 4.553178+0 1.590659+2 4.519738+09222 3 18 1968 1.590760+2 4.519458+0 1.591286+2 4.534054+0 1.591923+2 4.589373+09222 3 18 1969 1.592972+2 4.737556+0 1.593573+2 4.820629+0 1.594112+2 4.875383+09222 3 18 1970 1.594651+2 4.903485+0 1.594918+2 4.906422+0 1.595453+2 4.889808+09222 3 18 1971 1.595957+2 4.846680+0 1.596432+2 4.782057+0 1.596912+2 4.693374+09222 3 18 1972 1.597439+2 4.571466+0 1.597923+2 4.439932+0 1.599469+2 3.975088+09222 3 18 1973 1.599956+2 3.843596+0 1.600443+2 3.731125+0 1.600930+2 3.641359+09222 3 18 1974 1.601395+2 3.578178+0 1.601838+2 3.538272+0 1.602356+2 3.515402+09222 3 18 1975 1.602565+2 3.513046+0 1.603053+2 3.521913+0 1.603611+2 3.555350+09222 3 18 1976 1.604168+2 3.612594+0 1.604775+2 3.701944+0 1.605267+2 3.795997+09222 3 18 1977 1.605760+2 3.910866+0 1.606252+2 4.048538+0 1.606744+2 4.211523+09222 3 18 1978 1.607236+2 4.402833+0 1.607728+2 4.625889+0 1.608220+2 4.884377+09222 3 18 1979 1.608713+2 5.181978+0 1.609205+2 5.521995+0 1.609697+2 5.906758+09222 3 18 1980 1.610189+2 6.336832+0 1.610681+2 6.810631+0 1.611173+2 7.323428+09222 3 18 1981 1.611993+2 8.241115+0 1.613207+2 9.634324+0 1.613872+2 1.035583+19222 3 18 1982 1.615537+2 1.205540+1 1.615914+2 1.249257+1 1.616292+2 1.299756+19222 3 18 1983 1.616574+2 1.344071+1 1.616857+2 1.395659+1 1.617153+2 1.459120+19222 3 18 1984 1.617366+2 1.512220+1 1.617579+2 1.572309+1 1.617792+2 1.640177+19222 3 18 1985 1.618006+2 1.716588+1 1.618219+2 1.802254+1 1.618432+2 1.897798+19222 3 18 1986 1.618645+2 2.003729+1 1.618840+2 2.109497+1 1.619102+2 2.266882+19222 3 18 1987 1.619365+2 2.440604+1 1.619627+2 2.629846+1 1.619890+2 2.833066+19222 3 18 1988 1.620274+2 3.150712+1 1.621127+2 3.884959+1 1.621513+2 4.193878+19222 3 18 1989 1.621802+2 4.400531+1 1.622065+2 4.562980+1 1.622315+2 4.690167+19222 3 18 1990 1.622565+2 4.787395+1 1.622792+2 4.847776+1 1.623036+2 4.882114+19222 3 18 1991 1.623160+2 4.887469+1 1.623376+2 4.877753+1 1.623635+2 4.836058+19222 3 18 1992 1.623910+2 4.760216+1 1.624214+2 4.645009+1 1.624620+2 4.457635+19222 3 18 1993 1.625229+2 4.158074+1 1.625616+2 3.990534+1 1.625891+2 3.893880+19222 3 18 1994 1.626166+2 3.821053+1 1.626383+2 3.782004+1 1.626624+2 3.758268+19222 3 18 1995 1.626745+2 3.753952+1 1.626985+2 3.759585+1 1.627226+2 3.782447+19222 3 18 1996 1.627515+2 3.828591+1 1.628093+2 3.957763+1 1.628635+2 4.081858+19222 3 18 1997 1.629015+2 4.146022+1 1.629268+2 4.171260+1 1.629490+2 4.179390+19222 3 18 1998 1.629760+2 4.169863+1 1.630056+2 4.133931+1 1.630353+2 4.071653+19222 3 18 1999 1.630643+2 3.986607+1 1.630923+2 3.885034+1 1.631296+2 3.725389+19222 3 18 2000 1.631856+2 3.452787+1 1.632652+2 3.052541+1 1.633058+2 2.864299+19222 3 18 2001 1.633363+2 2.736189+1 1.633667+2 2.621409+1 1.633952+2 2.526937+19222 3 18 2002 1.634237+2 2.445405+1 1.634523+2 2.376641+1 1.634808+2 2.320074+19222 3 18 2003 1.635093+2 2.274798+1 1.635490+2 2.228323+1 1.635944+2 2.194504+19222 3 18 2004 1.636397+2 2.175281+1 1.637684+2 2.147067+1 1.638152+2 2.129955+19222 3 18 2005 1.638630+2 2.102451+1 1.639108+2 2.063078+1 1.639585+2 2.011689+19222 3 18 2006 1.640063+2 1.949513+1 1.640648+2 1.862004+1 1.642403+2 1.575555+19222 3 18 2007 1.642988+2 1.488343+1 1.643534+2 1.416104+1 1.644061+2 1.356952+19222 3 18 2008 1.644412+2 1.324268+1 1.644763+2 1.297823+1 1.645114+2 1.278544+19222 3 18 2009 1.645465+2 1.267615+1 1.645641+2 1.265736+1 1.645904+2 1.268005+19222 3 18 2010 1.646207+2 1.279096+1 1.646421+2 1.293189+1 1.646636+2 1.313047+19222 3 18 2011 1.646850+2 1.339211+1 1.647109+2 1.379887+1 1.647302+2 1.417456+19222 3 18 2012 1.647496+2 1.461448+1 1.647690+2 1.512149+1 1.647884+2 1.569762+19222 3 18 2013 1.648103+2 1.643149+1 1.648321+2 1.725514+1 1.648540+2 1.816727+19222 3 18 2014 1.648758+2 1.916464+1 1.649086+2 2.080947+1 1.649414+2 2.261148+19222 3 18 2015 1.649780+2 2.477436+1 1.650331+2 2.824685+1 1.650922+2 3.214229+19222 3 18 2016 1.651473+2 3.594875+1 1.651949+2 3.946628+1 1.652276+2 4.210590+19222 3 18 2017 1.652604+2 4.499312+1 1.652899+2 4.785421+1 1.653194+2 5.099608+19222 3 18 2018 1.653493+2 5.447184+1 1.653798+2 5.832072+1 1.654204+2 6.383143+19222 3 18 2019 1.655020+2 7.523058+1 1.655343+2 7.934304+1 1.655666+2 8.290358+19222 3 18 2020 1.655881+2 8.486732+1 1.656107+2 8.651069+1 1.656334+2 8.767125+19222 3 18 2021 1.656550+2 8.829559+1 1.656765+2 8.843629+1 1.657014+2 8.799707+19222 3 18 2022 1.657218+2 8.717239+1 1.657487+2 8.549153+1 1.657762+2 8.315720+19222 3 18 2023 1.658089+2 7.972581+1 1.658393+2 7.607133+1 1.659173+2 6.581718+19222 3 18 2024 1.659730+2 5.863794+1 1.660131+2 5.385746+1 1.660503+2 4.976800+19222 3 18 2025 1.660826+2 4.648407+1 1.661149+2 4.343030+1 1.661583+2 3.964949+19222 3 18 2026 1.661917+2 3.697050+1 1.662291+2 3.418421+1 1.662664+2 3.161331+19222 3 18 2027 1.663038+2 2.925317+1 1.663412+2 2.710237+1 1.663715+2 2.551095+19222 3 18 2028 1.664018+2 2.405366+1 1.664321+2 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3102 1836 1.143442+2 3.337864+0 1.143694+2 3.439710+0 1.143947+2 3.559071+09222 3102 1837 1.144199+2 3.697874+0 1.144451+2 3.857834+0 1.144703+2 4.040312+09222 3102 1838 1.144956+2 4.246140+0 1.145208+2 4.475446+0 1.145516+2 4.785671+09222 3102 1839 1.145879+2 5.190028+0 1.146423+2 5.849495+0 1.146919+2 6.458264+09222 3102 1840 1.147316+2 6.909271+0 1.147581+2 7.172003+0 1.147846+2 7.392020+09222 3102 1841 1.148058+2 7.530551+0 1.148269+2 7.631652+0 1.148471+2 7.690381+09222 3102 1842 1.148674+2 7.709860+0 1.148911+2 7.681533+0 1.149127+2 7.607861+09222 3102 1843 1.149343+2 7.490005+0 1.149558+2 7.330582+0 1.149774+2 7.133323+09222 3102 1844 1.150045+2 6.839720+0 1.150298+2 6.526773+0 1.150678+2 6.009094+09222 3102 1845 1.151507+2 4.814243+0 1.151852+2 4.339079+0 1.152151+2 3.953911+09222 3102 1846 1.152376+2 3.684591+0 1.152600+2 3.433527+0 1.152825+2 3.201351+09222 3102 1847 1.153049+2 2.988199+0 1.153279+2 2.788944+0 1.153510+2 2.608726+09222 3102 1848 1.153740+2 2.446642+0 1.153970+2 2.301688+0 1.154200+2 2.172801+09222 3102 1849 1.154431+2 2.058992+0 1.154661+2 1.959364+0 1.154891+2 1.873209+09222 3102 1850 1.155121+2 1.800032+0 1.155352+2 1.739632+0 1.155582+2 1.692120+09222 3102 1851 1.155754+2 1.665216+0 1.155927+2 1.646169+0 1.156100+2 1.635454+09222 3102 1852 1.156215+2 1.633233+0 1.156388+2 1.637815+0 1.156560+2 1.652623+09222 3102 1853 1.156733+2 1.678568+0 1.156871+2 1.707981+0 1.157009+2 1.745671+09222 3102 1854 1.157101+2 1.775658+0 1.157263+2 1.838355+0 1.157425+2 1.914427+09222 3102 1855 1.157586+2 2.004572+0 1.157748+2 2.109312+0 1.157910+2 2.228972+09222 3102 1856 1.158072+2 2.363563+0 1.158233+2 2.512779+0 1.158395+2 2.675889+09222 3102 1857 1.158597+2 2.897033+0 1.158866+2 3.216751+0 1.159518+2 4.037252+09222 3102 1858 1.159752+2 4.313574+0 1.159951+2 4.526171+0 1.160115+2 4.680249+09222 3102 1859 1.160267+2 4.802537+0 1.160408+2 4.895198+0 1.160551+2 4.967752+09222 3102 1860 1.160697+2 5.017332+0 1.160834+2 5.040496+0 1.160899+2 5.043324+09222 3102 1861 1.161075+2 5.024734+0 1.161245+2 4.970818+0 1.161414+2 4.882901+09222 3102 1862 1.161555+2 4.785828+0 1.161695+2 4.668645+0 1.161859+2 4.509677+09222 3102 1863 1.162022+2 4.329940+0 1.162243+2 4.061760+0 1.162595+2 3.595821+09222 3102 1864 1.163058+2 2.972026+0 1.163264+2 2.710267+0 1.163469+2 2.464560+09222 3102 1865 1.163606+2 2.311411+0 1.163743+2 2.167625+0 1.163880+2 2.033666+09222 3102 1866 1.164017+2 1.909775+0 1.164147+2 1.801446+0 1.164270+2 1.707150+09222 3102 1867 1.164393+2 1.620782+0 1.164516+2 1.542085+0 1.164639+2 1.470733+09222 3102 1868 1.164763+2 1.406357+0 1.164886+2 1.348556+0 1.165009+2 1.296903+09222 3102 1869 1.165132+2 1.250960+0 1.165255+2 1.210287+0 1.165440+2 1.158224+09222 3102 1870 1.165625+2 1.115651+0 1.165810+2 1.081270+0 1.165994+2 1.053896+09222 3102 1871 1.166152+2 1.035321+0 1.166343+2 1.017714+0 1.166552+2 1.003793+09222 3102 1872 1.166778+2 9.938173-1 1.167117+2 9.866471-1 1.167343+2 9.859155-19222 3102 1873 1.167681+2 9.893898-1 1.168020+2 9.970120-1 1.168534+2 1.014055+09222 3102 1874 1.169109+2 1.038342+0 1.170001+2 1.083483+0 1.170600+2 1.119387+09222 3102 1875 1.171196+2 1.162022+0 1.171593+2 1.196016+0 1.171990+2 1.235939+09222 3102 1876 1.172325+2 1.275337+0 1.172736+2 1.332112+0 1.173009+2 1.376065+09222 3102 1877 1.173283+2 1.425636+0 1.173557+2 1.481548+0 1.173831+2 1.544615+09222 3102 1878 1.174104+2 1.615791+0 1.174378+2 1.696192+0 1.174652+2 1.787162+09222 3102 1879 1.174926+2 1.890304+0 1.175199+2 2.007579+0 1.175405+2 2.106223+09222 3102 1880 1.175610+2 2.215341+0 1.175815+2 2.336327+0 1.176021+2 2.470785+09222 3102 1881 1.176226+2 2.620608+0 1.176431+2 2.787934+0 1.176568+2 2.910420+09222 3102 1882 1.176743+2 3.081675+0 1.176919+2 3.270751+0 1.177094+2 3.479761+09222 3102 1883 1.177270+2 3.710989+0 1.177445+2 3.966960+0 1.177620+2 4.250314+09222 3102 1884 1.177796+2 4.563896+0 1.177971+2 4.910603+0 1.178110+2 5.210379+09222 3102 1885 1.178249+2 5.534198+0 1.178387+2 5.883508+0 1.178526+2 6.259601+09222 3102 1886 1.178665+2 6.663753+0 1.178804+2 7.096944+0 1.178942+2 7.560049+09222 3102 1887 1.179142+2 8.279375+0 1.179324+2 8.991893+0 1.179506+2 9.756431+09222 3102 1888 1.179689+2 1.057060+1 1.179932+2 1.172637+1 1.180227+2 1.321885+19222 3102 1889 1.180995+2 1.726149+1 1.181242+2 1.848811+1 1.181494+2 1.963067+19222 3102 1890 1.181667+2 2.033447+1 1.181841+2 2.095402+1 1.182014+2 2.147722+19222 3102 1891 1.182171+2 2.185828+1 1.182366+2 2.220112+1 1.182561+2 2.239017+19222 3102 1892 1.182691+2 2.242817+1 1.182843+2 2.238255+1 1.182995+2 2.224068+19222 3102 1893 1.183147+2 2.200496+1 1.183299+2 2.167933+1 1.183475+2 2.119616+19222 3102 1894 1.183652+2 2.060959+1 1.183828+2 1.993171+1 1.184092+2 1.877358+19222 3102 1895 1.184357+2 1.748964+1 1.185199+2 1.311380+1 1.185493+2 1.165762+19222 3102 1896 1.185728+2 1.056567+1 1.185904+2 9.796995+0 1.186081+2 9.075219+09222 3102 1897 1.186257+2 8.402184+0 1.186433+2 7.778642+0 1.186597+2 7.241691+09222 3102 1898 1.186762+2 6.746492+0 1.186871+2 6.438841+0 1.187051+2 5.969902+09222 3102 1899 1.187232+2 5.545323+0 1.187412+2 5.162073+0 1.187592+2 4.817038+09222 3102 1900 1.187772+2 4.506998+0 1.187953+2 4.228869+0 1.188133+2 3.979632+09222 3102 1901 1.188313+2 3.756489+0 1.188475+2 3.576509+0 1.188636+2 3.413674+09222 3102 1902 1.188851+2 3.220509+0 1.189067+2 3.051729+0 1.189282+2 2.904505+09222 3102 1903 1.189498+2 2.776465+0 1.189713+2 2.665659+0 1.189928+2 2.570532+09222 3102 1904 1.190149+2 2.488222+0 1.190374+2 2.418868+0 1.190599+2 2.364006+09222 3102 1905 1.190824+2 2.323623+0 1.191050+2 2.298211+0 1.191275+2 2.288831+09222 3102 1906 1.191444+2 2.293328+0 1.191613+2 2.308803+0 1.191782+2 2.336534+09222 3102 1907 1.191941+2 2.375279+0 1.192095+2 2.426050+0 1.192249+2 2.491551+09222 3102 1908 1.192403+2 2.573772+0 1.192558+2 2.674950+0 1.192712+2 2.797634+09222 3102 1909 1.192815+2 2.892748+0 1.192918+2 2.999557+0 1.193020+2 3.119004+09222 3102 1910 1.193123+2 3.252074+0 1.193226+2 3.399787+0 1.193329+2 3.563176+09222 3102 1911 1.193432+2 3.743293+0 1.193547+2 3.965954+0 1.193674+2 4.239957+09222 3102 1912 1.193801+2 4.544853+0 1.193928+2 4.882377+0 1.194056+2 5.254079+09222 3102 1913 1.194183+2 5.661225+0 1.194310+2 6.104726+0 1.194437+2 6.585090+09222 3102 1914 1.194550+2 7.040782+0 1.194697+2 7.677886+0 1.194844+2 8.361757+09222 3102 1915 1.194990+2 9.089365+0 1.195186+2 1.012005+1 1.195421+2 1.143095+19222 3102 1916 1.196022+2 1.490454+1 1.196290+2 1.637062+1 1.196450+2 1.717381+19222 3102 1917 1.196602+2 1.787184+1 1.196747+2 1.846309+1 1.196886+2 1.895642+19222 3102 1918 1.197019+2 1.935400+1 1.197149+2 1.966672+1 1.197340+2 1.998072+19222 3102 1919 1.197513+2 2.011111+1 1.197572+2 2.012177+1 1.197713+2 2.007860+19222 3102 1920 1.197877+2 1.990922+1 1.198032+2 1.963757+1 1.198177+2 1.929021+19222 3102 1921 1.198396+2 1.862025+1 1.198541+2 1.808808+1 1.198735+2 1.729247+19222 3102 1922 1.199029+2 1.595302+1 1.199741+2 1.248821+1 1.199988+2 1.133390+19222 3102 1923 1.200236+2 1.024439+1 1.200426+2 9.457063+0 1.200627+2 8.677281+09222 3102 1924 1.200802+2 8.041000+0 1.201008+2 7.341457+0 1.201202+2 6.730766+09222 3102 1925 1.201348+2 6.295987+0 1.201513+2 5.836109+0 1.201698+2 5.350535+09222 3102 1926 1.201905+2 4.848898+0 1.202060+2 4.498571+0 1.202214+2 4.169876+09222 3102 1927 1.202369+2 3.861607+0 1.202520+2 3.579606+0 1.202669+2 3.319179+09222 3102 1928 1.202818+2 3.076603+0 1.202971+2 2.845627+0 1.203125+2 2.632571+09222 3102 1929 1.203278+2 2.436878+0 1.203431+2 2.257952+0 1.203584+2 2.095069+09222 3102 1930 1.203738+2 1.947476+0 1.203891+2 1.814307+0 1.204044+2 1.694665+09222 3102 1931 1.204192+2 1.591090+0 1.204340+2 1.498356+0 1.204488+2 1.415570+09222 3102 1932 1.204636+2 1.341865+0 1.204784+2 1.276379+0 1.204932+2 1.218305+09222 3102 1933 1.205080+2 1.166864+0 1.205228+2 1.121337+0 1.205375+2 1.081051+09222 3102 1934 1.205523+2 1.045402+0 1.205745+2 9.994329-1 1.205967+2 9.610575-19222 3102 1935 1.206189+2 9.289351-1 1.206411+2 9.019767-1 1.206707+2 8.725615-19222 3102 1936 1.207003+2 8.492082-1 1.207299+2 8.307761-1 1.207595+2 8.164641-19222 3102 1937 1.207891+2 8.057185-1 1.208335+2 7.955202-1 1.208779+2 7.918563-19222 3102 1938 1.208812+2 7.918369-1 1.209165+2 7.938184-1 1.209485+2 7.991760-19222 3102 1939 1.209806+2 8.081189-1 1.210127+2 8.209581-1 1.210447+2 8.381377-19222 3102 1940 1.210768+2 8.602543-1 1.211088+2 8.880873-1 1.211329+2 9.132994-19222 3102 1941 1.211549+2 9.400802-1 1.211828+2 9.799773-1 1.212038+2 1.014783+09222 3102 1942 1.212248+2 1.054317+0 1.212457+2 1.099116+0 1.212667+2 1.149744+09222 3102 1943 1.212876+2 1.206784+0 1.213086+2 1.270808+0 1.213296+2 1.342377+09222 3102 1944 1.213505+2 1.421967+0 1.213731+2 1.517237+0 1.213990+2 1.638749+09222 3102 1945 1.214249+2 1.773489+0 1.214508+2 1.920868+0 1.214767+2 2.079600+09222 3102 1946 1.215131+2 2.317855+0 1.215868+2 2.816708+0 1.216171+2 3.008758+09222 3102 1947 1.216473+2 3.181274+0 1.216695+2 3.290918+0 1.216917+2 3.383202+09222 3102 1948 1.217065+2 3.434051+0 1.217319+2 3.500195+0 1.217574+2 3.538778+09222 3102 1949 1.217778+2 3.550317+0 1.217845+2 3.550562+0 1.218117+2 3.535449+09222 3102 1950 1.218446+2 3.489999+0 1.218931+2 3.402642+0 1.219165+2 3.370278+09222 3102 1951 1.219399+2 3.357647+0 1.219553+2 3.365550+0 1.219707+2 3.390385+09222 3102 1952 1.219861+2 3.435781+0 1.220016+2 3.505471+0 1.220170+2 3.603254+09222 3102 1953 1.220275+2 3.687784+0 1.220382+2 3.790452+0 1.220489+2 3.910902+09222 3102 1954 1.220596+2 4.050280+0 1.220713+2 4.225920+0 1.220840+2 4.445529+09222 3102 1955 1.220967+2 4.696376+0 1.221095+2 4.979547+0 1.221222+2 5.295773+09222 3102 1956 1.221350+2 5.645343+0 1.221477+2 6.028047+0 1.221604+2 6.443134+09222 3102 1957 1.221749+2 6.950383+0 1.221910+2 7.560116+0 1.222071+2 8.209975+09222 3102 1958 1.222312+2 9.243123+0 1.222874+2 1.173580+1 1.223116+2 1.274364+19222 3102 1959 1.223342+2 1.358342+1 1.223539+2 1.421049+1 1.223696+2 1.462352+19222 3102 1960 1.223841+2 1.492461+1 1.223963+2 1.511547+1 1.224108+2 1.526239+19222 3102 1961 1.224237+2 1.531828+1 1.224296+2 1.531988+1 1.224432+2 1.526647+19222 3102 1962 1.224565+2 1.513842+1 1.224727+2 1.488378+1 1.224907+2 1.448228+19222 3102 1963 1.225062+2 1.404403+1 1.225234+2 1.347289+1 1.225440+2 1.268854+19222 3102 1964 1.225692+2 1.162378+1 1.226301+2 8.896078+0 1.226524+2 7.938850+09222 3102 1965 1.226714+2 7.182268+0 1.226886+2 6.547258+0 1.227000+2 6.155030+09222 3102 1966 1.227115+2 5.789302+0 1.227229+2 5.451008+0 1.227344+2 5.140709+09222 3102 1967 1.227459+2 4.858594+0 1.227568+2 4.616471+0 1.227671+2 4.410053+09222 3102 1968 1.227774+2 4.225613+0 1.227877+2 4.062532+0 1.227978+2 3.923752+09222 3102 1969 1.228075+2 3.806855+0 1.228173+2 3.706820+0 1.228270+2 3.622802+09222 3102 1970 1.228368+2 3.553909+0 1.228514+2 3.476910+0 1.228660+2 3.428648+09222 3102 1971 1.228801+2 3.406289+0 1.228893+2 3.403020+0 1.229048+2 3.415194+09222 3102 1972 1.229203+2 3.446241+0 1.229409+2 3.510569+0 1.229719+2 3.639181+09222 3102 1973 1.230201+2 3.861078+0 1.230528+2 3.990804+0 1.230777+2 4.063741+09222 3102 1974 1.231027+2 4.107008+0 1.231229+2 4.117496+0 1.231464+2 4.100573+09222 3102 1975 1.231701+2 4.051855+0 1.231891+2 3.990970+0 1.232144+2 3.882319+09222 3102 1976 1.232361+2 3.767668+0 1.232686+2 3.567025+0 1.233125+2 3.264158+09222 3102 1977 1.233580+2 2.944815+0 1.233921+2 2.721385+0 1.234211+2 2.551138+09222 3102 1978 1.234404+2 2.450101+0 1.234598+2 2.360098+0 1.234791+2 2.281708+09222 3102 1979 1.234985+2 2.215261+0 1.235178+2 2.160885+0 1.235371+2 2.118556+09222 3102 1980 1.235577+2 2.086611+0 1.235809+2 2.066484+0 1.235964+2 2.062302+09222 3102 1981 1.236196+2 2.069703+0 1.236424+2 2.092819+0 1.236651+2 2.131787+09222 3102 1982 1.236879+2 2.187080+0 1.237106+2 2.259559+0 1.237277+2 2.325999+09222 3102 1983 1.237447+2 2.403632+0 1.237618+2 2.493456+0 1.237789+2 2.596694+09222 3102 1984 1.237959+2 2.714861+0 1.238118+2 2.840206+0 1.238272+2 2.976514+09222 3102 1985 1.238426+2 3.129803+0 1.238579+2 3.302205+0 1.238733+2 3.496082+09222 3102 1986 1.238886+2 3.714181+0 1.239040+2 3.959548+0 1.239193+2 4.235618+09222 3102 1987 1.239347+2 4.546130+0 1.239500+2 4.895223+0 1.239654+2 5.287295+09222 3102 1988 1.239791+2 5.675793+0 1.239927+2 6.105470+0 1.240064+2 6.579951+09222 3102 1989 1.240200+2 7.102808+0 1.240337+2 7.677728+0 1.240473+2 8.308108+09222 3102 1990 1.240610+2 8.997302+0 1.240746+2 9.748202+0 1.240899+2 1.066889+19222 3102 1991 1.241053+2 1.167338+1 1.241206+2 1.276338+1 1.241360+2 1.393898+19222 3102 1992 1.241513+2 1.519884+1 1.241644+2 1.633687+1 1.241803+2 1.779758+19222 3102 1993 1.242042+2 2.012412+1 1.242338+2 2.317454+1 1.242869+2 2.878821+19222 3102 1994 1.243112+2 3.123381+1 1.243336+2 3.331509+1 1.243541+2 3.501244+19222 3102 1995 1.243749+2 3.646894+1 1.243906+2 3.737103+1 1.244063+2 3.808076+19222 3102 1996 1.244227+2 3.860170+1 1.244391+2 3.888709+1 1.244503+2 3.894329+19222 3102 1997 1.244683+2 3.879716+1 1.244862+2 3.836417+1 1.245050+2 3.761780+19222 3102 1998 1.245237+2 3.659168+1 1.245362+2 3.576574+1 1.245562+2 3.423995+19222 3102 1999 1.245761+2 3.249849+1 1.246001+2 3.018592+1 1.246381+2 2.624235+19222 3102 2000 1.246800+2 2.182306+1 1.247040+2 1.940140+1 1.247199+2 1.786242+19222 3102 2001 1.247359+2 1.639703+1 1.247539+2 1.484631+1 1.247689+2 1.363876+19222 3102 2002 1.247838+2 1.251136+1 1.247988+2 1.146477+1 1.248138+2 1.049873+19222 3102 2003 1.248238+2 9.898618+0 1.248370+2 9.155736+0 1.248503+2 8.470849+09222 3102 2004 1.248635+2 7.841266+0 1.248768+2 7.264144+0 1.248900+2 6.736276+09222 3102 2005 1.249032+2 6.254520+0 1.249165+2 5.815543+0 1.249297+2 5.416134+09222 3102 2006 1.249437+2 5.031996+0 1.249578+2 4.685135+0 1.249718+2 4.372004+09222 3102 2007 1.249859+2 4.089340+0 1.249999+2 3.834053+0 1.250140+2 3.603346+09222 3102 2008 1.250280+2 3.394620+0 1.250421+2 3.205561+0 1.250561+2 3.034005+09222 3102 2009 1.250701+2 2.878093+0 1.250856+2 2.722589+0 1.251039+2 2.557798+09222 3102 2010 1.251221+2 2.410905+0 1.251404+2 2.279480+0 1.251586+2 2.161443+09222 3102 2011 1.251769+2 2.055047+0 1.251952+2 1.958783+0 1.252134+2 1.871411+09222 3102 2012 1.252378+2 1.766911+0 1.252621+2 1.674223+0 1.252838+2 1.600399+09222 3102 2013 1.253121+2 1.514041+0 1.253405+2 1.437937+0 1.253689+2 1.370650+09222 3102 2014 1.253973+2 1.311023+0 1.254257+2 1.258126+0 1.254540+2 1.211192+09222 3102 2015 1.254824+2 1.169613+0 1.255202+2 1.121651+0 1.255581+2 1.081408+09222 3102 2016 1.255916+2 1.051711+0 1.256352+2 1.020777+0 1.256789+2 9.983484-19222 3102 2017 1.257225+2 9.844271-1 1.257589+2 9.795976-1 1.257662+2 9.794101-19222 3102 2018 1.257953+2 9.814173-1 1.258216+2 9.873079-1 1.258572+2 1.002059+09222 3102 2019 1.258808+2 1.016794+0 1.259045+2 1.035977+0 1.259282+2 1.060162+09222 3102 2020 1.259519+2 1.089988+0 1.259755+2 1.126194+0 1.259992+2 1.169611+09222 3102 2021 1.260225+2 1.220246+0 1.260458+2 1.279676+0 1.260691+2 1.348873+09222 3102 2022 1.260924+2 1.428795+0 1.261156+2 1.520344+0 1.261389+2 1.624282+09222 3102 2023 1.261622+2 1.741163+0 1.261855+2 1.871210+0 1.262088+2 2.014267+09222 3102 2024 1.262321+2 2.169626+0 1.262600+2 2.370393+0 1.262973+2 2.656337+09222 3102 2025 1.263578+2 3.133940+0 1.263904+2 3.375558+0 1.264121+2 3.521852+09222 3102 2026 1.264338+2 3.651583+0 1.264548+2 3.757439+0 1.264757+2 3.841285+09222 3102 2027 1.264967+2 3.900586+0 1.265176+2 3.933436+0 1.265312+2 3.940024+09222 3102 2028 1.265472+2 3.932729+0 1.265704+2 3.893216+0 1.265875+2 3.843069+09222 3102 2029 1.266119+2 3.741947+0 1.266340+2 3.623351+0 1.266561+2 3.482647+09222 3102 2030 1.266790+2 3.317987+0 1.267101+2 3.072267+0 1.267962+2 2.347560+09222 3102 2031 1.268273+2 2.100827+0 1.268482+2 1.944753+0 1.268692+2 1.798740+09222 3102 2032 1.268902+2 1.663684+0 1.269111+2 1.540073+0 1.269259+2 1.460061+09222 3102 2033 1.269414+2 1.382035+0 1.269569+2 1.310268+0 1.269724+2 1.244616+09222 3102 2034 1.269880+2 1.184896+0 1.270035+2 1.130903+0 1.270190+2 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