JENDL-5 (Neutron sublibrary (activation cs)) Pu-241 0 0 0 0 9.424100+4 2.389860+2 0 0 6 19443 1451 1 0.000000+0 1.000000+0 0 0 0 69443 1451 2 1.000000+0 2.000000+7 0 0 10 59443 1451 3 2.936000+2 0.000000+0 4 0 568 149443 1451 4 94-Pu-241 JAEA+ EVAL-JAN10 O.Iwamoto,N.Otuka,S.Chiba,+ 9443 1451 5 DIST-DEC21 20100325 9443 1451 6 ----JENDL-5 MATERIAL 9443 9443 1451 7 -----INCIDENT NEUTRON DATA 9443 1451 8 ------ENDF-6 FORMAT 9443 1451 9 9443 1451 10 History 9443 1451 11 06-09 Numbers of neutrons per fission were revised. 9443 1451 12 07-05 Theoretical calculation was made with CCONE code. 9443 1451 13 07-11 Fission cross section was revised with simultaneous 9443 1451 14 evaluation. 9443 1451 15 07-12 Fission cross section was revised with a result of new 9443 1451 16 simultaneous evaluation. 9443 1451 17 08-01 Fission cross section was revised. 9443 1451 18 08-02 Fission cross section and nu-p were revised. 9443 1451 19 CCONE calculation was made with revised parameters. 9443 1451 20 Data were compiled as JENDL/AC-2008/1/ 9443 1451 21 09-03 (1,452) and (1,455) were revised. 9443 1451 22 09-08 (MF1,MT458) was evaluated. 9443 1451 23 09-09 fission and total sigs and URP were revised. 9443 1451 24 09-10 fission cross section was revised. 9443 1451 25 09-12 New theoretical calculation was made with CCONE code. 9443 1451 26 Nu-d was revised. 9443 1451 27 10-01 Data of prompt gamma rays due to fission were given. 9443 1451 28 10-03 Covariance data were given. 9443 1451 29 18-08 JENDL-5a 9443 1451 30 (MF3/MT18) preliminary SOK result 9443 1451 31 (MF3/MT19,20,21,38) renormalized 9443 1451 32 19-12 JENDL-5a2 9443 1451 33 (MF3/MT18) SOK-2019 was adopted 9443 1451 34 (MF3/MT19,20,21,38) renormalized 9443 1451 35 20-03 JENDL-5a3 9443 1451 36 (MF3/MT1) recalculated 9443 1451 37 20-10 JENDL-5a4 9443 1451 38 (MF3/MT18) SOK(20201009) was adopted above 10 keV 9443 1451 39 (MF3/MT19,20,21,38) deleted 9443 1451 40 21-06 JENDL-5b1 9443 1451 41 (MF3/MT18) SOK(20210404) was adopted 9443 1451 42 21-11 revised by O.Iwamoto 9443 1451 43 (MF8/MT16-18,37,102) JENDL/AD-2017 adopted 9443 1451 44 (MF8/MT4) added 9443 1451 45 21-11 above 20 MeV, JENDL-4.0/HE merged by O.Iwamoto 9443 1451 46 21-11 (MF6/MT5) recoil spectrum added by O.Iwamoto 9443 1451 47 21-12 (MF33/MT18) modified by O.Iwamoto 9443 1451 48 SOK(20210404,rectangle) (En > 10 keV) 9443 1451 49 21-12 (MF3/MT18) above 20 MeV SOK(20210404) adoped by O.Iwamoto 9443 1451 50 21-12 (MF1/MT452,456) by O.Iwamoto 9443 1451 51 revise nu-p (En > 20 MeV) by a systematics 9443 1451 52 (MF6/MT5) by O.Iwamoto 9443 1451 53 modify multiplicity of ZAP=1 to compensate 9443 1451 54 the revision of nu-p 9443 1451 55 9443 1451 56 9443 1451 57 MF= 1 General information 9443 1451 58 MT=452 Number of Neutrons per fission 9443 1451 59 Sum of MT's = 455 and 456. 9443 1451 60 9443 1451 61 MT=455 Delayed neutron data 9443 1451 62 Determined from nu-d of the following three nuclides and 9443 1451 63 partial fission cross sections calculated with CCONE code/2/. 9443 1451 64 9443 1451 65 Pu-242 = 0.0160 measured by Benedetti et al./3/ 9443 1451 66 Pu-241 = 0.0064 data measured by Benedetti et al./3/ 9443 1451 67 reduced by a factor of 0.7 9443 1451 68 Pu-240 = 0.0046 data for Pu-239, reduced by a factor 9443 1451 69 of 0.7 9443 1451 70 9443 1451 71 Decay constants were adopted from Ref./4/. 9443 1451 72 9443 1451 73 MT=456 Number of prompt neutrons per fission 9443 1451 74 Experimental data of Conde et al./5/, Frehaut et al./6/ and 9443 1451 75 D'yachenko et al./7/ were reproduced with two straight lines. 9443 1451 76 A thermal value of 2.929 evaluated by Holden and Zucker/8/ 9443 1451 77 was also considered. They were re-normalized to the nu-p of 9443 1451 78 Cf-252 spontaneous fission of 3.756/9/. 9443 1451 79 9443 1451 80 MT=458 Components of energy release due to fission 9443 1451 81 Total energy and prompt energy were calculated from mass 9443 1451 82 balance using JENDL-4 fission yields data and mass excess 9443 1451 83 evaluation. Mass excess values were from Audi's 2009 9443 1451 84 evaluation/10/. Delayed energy values were calculated from 9443 1451 85 the energy release for infinite irradiation using JENDL FP 9443 1451 86 Decay Data File 2000 and JENDL-4 yields data. For delayed 9443 1451 87 neutron energy, as the JENDL FP Decay Data File 2000/11/ does 9443 1451 88 not include average neutron energy values, the average values 9443 1451 89 were calculated using the formula shown in the report by 9443 1451 90 T.R. England/12/. The fractions of prompt energy were 9443 1451 91 calculated using the fractions of Sher's evaluation/13/ when 9443 1451 92 they were provided. When the fractions were not given by Sher,9443 1451 93 averaged fractions were used. 9443 1451 94 9443 1451 95 9443 1451 96 MF= 2 Resonance parameters 9443 1451 97 MT=151 9443 1451 98 Resolved resonance parameters (RM: below 300 eV) 9443 1451 99 Revised Derrien's evaluation/14/ below 20 eV was adopted. 9443 1451 100 Numerical data were taken from ENDF/B-VII.0/15/. 9443 1451 101 9443 1451 102 See Apendix A-1. 9443 1451 103 9443 1451 104 Unresolved resonance parameters (300 eV - 30 keV) 9443 1451 105 Parameters were determined with ASREP code/16/ to reproduce 9443 1451 106 capture cross section measured by Weston and Todd/17/, 9443 1451 107 fission cross section measured by Weston and Todd/17/, 9443 1451 108 Migneco et al./18/ and Gerasimov et al./19/, and total cross 9443 1451 109 section calculated with CCONE code. 9443 1451 110 9443 1451 111 The parameters are used only for self-shielding calculations. 9443 1451 112 9443 1451 113 9443 1451 114 Thermal cross sections and resonance integrals (at 300K) 9443 1451 115 ------------------------------------------------------- 9443 1451 116 0.0253 eV reson. integ.(*) 9443 1451 117 (barns) (barns) 9443 1451 118 ------------------------------------------------------- 9443 1451 119 total 1386.67 9443 1451 120 elastic 11.26 9443 1451 121 fission 1012.34 567 9443 1451 122 capture 363.06 180 9443 1451 123 ------------------------------------------------------- 9443 1451 124 (*) In the energy range from 0.5 eV to 10 MeV. 9443 1451 125 9443 1451 126 9443 1451 127 MF= 3 Neutron cross sections 9443 1451 128 Cross sections above the resolved resonance region except for 9443 1451 129 the elastic scattering (MT=2), fission (MT=18, 19, 20, 21, 38) 9443 1451 130 and capture cross sections were calculated with CCONE code/2/. 9443 1451 131 The model parameters were determined by considering integral 9443 1451 132 data as well as measured capture cross sections data and 9443 1451 133 fission cross section of JENDL-3.3. 9443 1451 134 9443 1451 135 MT= 1 Total cross section 9443 1451 136 The cross section was calculated with CC OMP of Soukhovitskii 9443 1451 137 et al./20/. 9443 1451 138 9443 1451 139 MT=2 Elastic scattering cross section 9443 1451 140 From 300 eV to 30 keV, CCONE calculation was adopted. 9443 1451 141 Above 30 keV, it was calculated as (total)-(non-elastic 9443 1451 142 scattering cross sections). 9443 1451 143 9443 1451 144 MT=18 Fission cross section 9443 1451 145 From 300 eV to 10 keV, the data of Weston and Todd/17/, 9443 1451 146 Migneco et al./18/ and Gerasimov et al. /19/ were taken 9443 1451 147 into consideration. 9443 1451 148 Above 10 keV, experimental data measured after 1960 were 9443 1451 149 analyzed by simultaneous fitting of U-233, U-235, U-238, 9443 1451 150 Pu-239, Pu-240 and Pu-241 fission cross sections and their 9443 1451 151 ratios by the SOK code /21/. 9443 1451 152 9443 1451 153 --------------------------------------------------------------9443 1451 154 Cross section 9443 1451 155 --------------------------------------------------------------9443 1451 156 EXFOR Energy range (eV) Authors Reference 9443 1451 157 --------------------------------------------------------------9443 1451 158 30548.003 1.48E+7 N.A.Khan+ /22/ 9443 1451 159 10636.002 5.00E+3 - 6.50E+4 G.W.Carlson+ /23/ 9443 1451 160 20570.004 1.18E+6 - 2.63E+6 I.Szabo+ /24/ 9443 1451 161 20567.004 3.50E+4 - 9.70E+5 I.Szabo+ /24/ 9443 1451 162 20484.002 5.00E+3 - 2.98E+4 J.Blons+ /25/ 9443 1451 163 40636.007 1.46E+7 M.I.Kazarinova+ /26/ 9443 1451 164 --------------------------------------------------------------9443 1451 165 9443 1451 166 Ratio to U-235(n,f) cross section 9443 1451 167 --------------------------------------------------------------9443 1451 168 EXFOR Energy range (eV) Authors Reference 9443 1451 169 --------------------------------------------------------------9443 1451 170 40474.003 2.40E+4 - 7.40E+6 B.I.Fursov+ /27/ 9443 1451 171 40474.003 1.27E+5 - 7.00E+6 B.I.Fursov+ /27/ 9443 1451 172 10563.002 5.00E+3 - 2.96E+7 J.W.Behrens+ /28/ 9443 1451 173 20364.002 1.37E+4 - 1.13E+6 F.Kaeppeler+ /29/ 9443 1451 174 --------------------------------------------------------------9443 1451 175 9443 1451 176 Cross section was slightly modified in the energy region from 9443 1451 177 1 to 4 MeV, and from 7 to 8 MeV for JENDL-4. 9443 1451 178 9443 1451 179 MT=19, 20, 21, 38 Multi-chance fission cross sections 9443 1451 180 Calculated with CCONE code, and renormalized to the total 9443 1451 181 fission cross section (MT=18). 9443 1451 182 9443 1451 183 MT=102 Capture cross section 9443 1451 184 From 300 eV to 30 keV, the cross section was calculated from 9443 1451 185 the unresolved resonance parameters mentioned above. CCONE 9443 1451 186 calculation was adopted in the energy range above 50 keV. 9443 1451 187 9443 1451 188 The experimental data of Weston and Todd/17/ were used to 9443 1451 189 determine the parameters in the CCONE calculation. 9443 1451 190 9443 1451 191 9443 1451 192 MF= 4 Angular distributions of secondary neutrons 9443 1451 193 MT=2 Elastic scattering 9443 1451 194 Calculated with CCONE code. 9443 1451 195 9443 1451 196 MT=18 Fission 9443 1451 197 Isotropic distributions were assumed in the laboratory system.9443 1451 198 9443 1451 199 9443 1451 200 MF= 5 Energy distributions of secondary neutrons 9443 1451 201 MT=18 Fission spectra 9443 1451 202 Calculated with CCONE code. 9443 1451 203 9443 1451 204 MT=455 Delayed neutron spectra 9443 1451 205 (Same as JENDL-3.3) 9443 1451 206 Results of summation calculation made by Brady and England/4/ 9443 1451 207 were adopted. 9443 1451 208 9443 1451 209 9443 1451 210 MF= 6 Energy-angle distributions 9443 1451 211 Calculated with CCONE code/2/. 9443 1451 212 Distributions from fission (MT=18) are not included. 9443 1451 213 9443 1451 214 9443 1451 215 MF=12 Photon production multiplicities 9443 1451 216 MT=18 Fission 9443 1451 217 Calculated from the total energy released by the prompt 9443 1451 218 gamma-rays due to fission given in MF=1/MT=458 and the 9443 1451 219 average energy of gamma-rays. 9443 1451 220 9443 1451 221 9443 1451 222 MF=14 Photon angular distributions 9443 1451 223 MT=18 Fission 9443 1451 224 Isotoropic distributions were assumed. 9443 1451 225 9443 1451 226 9443 1451 227 MF=15 Continuous photon energy spectra 9443 1451 228 MT=18 Fission 9443 1451 229 Experimental data measured by Verbinski et al./30/ for 9443 1451 230 Pu-239 thermal fission were adopted. 9443 1451 231 9443 1451 232 9443 1451 233 MF=31 Covariances of average number of neutrons per fission 9443 1451 234 MT=452 Number of neutrons per fission 9443 1451 235 Combination of covariances for MT=455 and MT=456. 9443 1451 236 9443 1451 237 MT=455 Number of delayed neutrons per fission 9443 1451 238 Uncertainty of 5% /3/ was assumed in the energy region 9443 1451 239 below 5 MeV and 15% above 5 MeV. 9443 1451 240 9443 1451 241 MT=456 Number of prompt neutrons per fission 9443 1451 242 Covariance matrix was obtained by fitting to the experimental 9443 1451 243 data of nu-p. 9443 1451 244 9443 1451 245 9443 1451 246 MF=33 Covariances of neutron cross sections 9443 1451 247 Covariances were given to all the cross sections by using 9443 1451 248 KALMAN code/31/ and the covariances of model parameters 9443 1451 249 used in the theoretical calculations. 9443 1451 250 9443 1451 251 For the following cross sections, covariances were determined 9443 1451 252 by different methods. 9443 1451 253 9443 1451 254 MT=1, 2 Total and elastic scattering 9443 1451 255 In the resolved resonance region, uncertainty of 5% was added 9443 1451 256 to the contributions from resonance parameter uncertainties. 9443 1451 257 9443 1451 258 Above 300 eV, covariances for CCONE calculation were adopted. 9443 1451 259 9443 1451 260 MT=18 Fission cross section 9443 1451 261 Error of 2 % was assumed in the resolved resonance region up 9443 1451 262 to 300 eV. 9443 1451 263 9443 1451 264 In the energy range from 300 eV to 10 keV, the fission cross 9443 1451 265 section was determined from the experimetal data of Gerassimov9443 1451 266 et al./19/ Error of 5% was assumed in the region up to 9443 1451 267 9 keV. 9443 1451 268 9443 1451 269 Above 9 keV, covariance matrix was obtained by simultaneous 9443 1451 270 evaluation among the fission cross sections of U-233, U-235, 9443 1451 271 U-238, Pu-239, Pu-240 and Pu-241(See MF=3, MT=18, and /1/). 9443 1451 272 Since the variances are very small, they were adopted by 9443 1451 273 multiplying a factor of 2. 9443 1451 274 9443 1451 275 MT=102 Capture cross section 9443 1451 276 Error of 10 % was assumed in the resolved resonance region. 9443 1451 277 9443 1451 278 In the energy region from 300 eV to 2 keV, error of 15% was 9443 1451 279 assumed, and from 2 to 30 keV, error of 10%, by considering 9443 1451 280 dispersion of average cross sections of Weston and Todd/17/. 9443 1451 281 9443 1451 282 Above 30 keV, Covariance matrix was obtained with CCONE and 9443 1451 283 KALMAN codes/31/. 9443 1451 284 9443 1451 285 9443 1451 286 MF=34 Covariances for Angular Distributions 9443 1451 287 MT=2 Elastic scattering 9443 1451 288 Covariances were given only to P1 components. 9443 1451 289 9443 1451 290 9443 1451 291 MF=35 Covariances for Energy Distributions 9443 1451 292 MT=18 Fission spectra 9443 1451 293 Estimated with CCONE and KALMAN codes. 9443 1451 294 9443 1451 295 9443 1451 296 ***************************************************************** 9443 1451 297 Calculation with CCONE code 9443 1451 298 ***************************************************************** 9443 1451 299 9443 1451 300 Models and parameters used in the CCONE/2/ calculation 9443 1451 301 1) Coupled channel optical model 9443 1451 302 Levels in the rotational band were included. Optical model 9443 1451 303 potential and coupled levels are shown in Table 1. 9443 1451 304 9443 1451 305 2) Two-component exciton model/32/ 9443 1451 306 * Global parametrization of Koning-Duijvestijn/33/ 9443 1451 307 was used. 9443 1451 308 * Gamma emission channel/34/ was added to simulate direct 9443 1451 309 and semi-direct capture reaction. 9443 1451 310 9443 1451 311 3) Hauser-Feshbach statistical model 9443 1451 312 * Moldauer width fluctuation correction/35/ was included. 9443 1451 313 * Neutron, gamma and fission decay channel were included. 9443 1451 314 * Transmission coefficients of neutrons were taken from 9443 1451 315 coupled channel calculation in Table 1. 9443 1451 316 * The level scheme of the target is shown in Table 2. 9443 1451 317 * Level density formula of constant temperature and Fermi-gas 9443 1451 318 model were used with shell energy correction and collective 9443 1451 319 enhancement factor. Parameters are shown in Table 3. 9443 1451 320 * Fission channel: 9443 1451 321 Double humped fission barriers were assumed. 9443 1451 322 Fission barrier penetrabilities were calculated with 9443 1451 323 Hill-Wheler formula/36/. Fission barrier parameters were 9443 1451 324 shown in Table 4. Transition state model was used and 9443 1451 325 continuum levels are assumed above the saddles. The level 9443 1451 326 density parameters for inner and outer saddles are shown in 9443 1451 327 Tables 5 and 6, respectively. 9443 1451 328 * Gamma-ray strength function of Kopecky et al/37/,/38/ 9443 1451 329 was used. The prameters are shown in Table 7. 9443 1451 330 9443 1451 331 9443 1451 332 ------------------------------------------------------------------9443 1451 333 Tables 9443 1451 334 ------------------------------------------------------------------9443 1451 335 9443 1451 336 Table 1. Coupled channel calculation 9443 1451 337 -------------------------------------------------- 9443 1451 338 * rigid rotor model was applied 9443 1451 339 * coupled levels = 0,1,2,3,9 (see Table 2) 9443 1451 340 * optical potential parameters /20/ 9443 1451 341 Volume: 9443 1451 342 V_0 = 49.682 MeV 9443 1451 343 lambda_HF = 0.01004 1/MeV 9443 1451 344 C_viso = 15.9 MeV 9443 1451 345 A_v = 12.04 MeV 9443 1451 346 B_v = 81.36 MeV 9443 1451 347 E_a = 385 MeV 9443 1451 348 r_v = 1.2568 fm 9443 1451 349 a_v = 0.633 fm 9443 1451 350 Surface: 9443 1451 351 W_0 = 17.45 MeV 9443 1451 352 B_s = 11.19 MeV 9443 1451 353 C_s = 0.01361 1/MeV 9443 1451 354 C_wiso = 23.5 MeV 9443 1451 355 r_s = 1.1803 fm 9443 1451 356 a_s = 0.601 fm 9443 1451 357 Spin-orbit: 9443 1451 358 V_so = 5.75 MeV 9443 1451 359 lambda_so = 0.005 1/MeV 9443 1451 360 W_so = -3.1 MeV 9443 1451 361 B_so = 160 MeV 9443 1451 362 r_so = 1.1214 fm 9443 1451 363 a_so = 0.59 fm 9443 1451 364 Coulomb: 9443 1451 365 C_coul = 1.3 9443 1451 366 r_c = 1.2452 fm 9443 1451 367 a_c = 0.545 fm 9443 1451 368 Deformation: 9443 1451 369 beta_2 = 0.24731 9443 1451 370 beta_4 = 0.05852 9443 1451 371 beta_6 = -0.02486 9443 1451 372 9443 1451 373 * Calculated strength function 9443 1451 374 S0= 1.19e-4 S1= 2.62e-4 R'= 9.47 fm (En=1 keV) 9443 1451 375 -------------------------------------------------- 9443 1451 376 9443 1451 377 Table 2. Level Scheme of Pu-241 9443 1451 378 ------------------- 9443 1451 379 No. Ex(MeV) J PI 9443 1451 380 ------------------- 9443 1451 381 0 0.00000 5/2 + * 9443 1451 382 1 0.04197 7/2 + * 9443 1451 383 2 0.09578 9/2 + * 9443 1451 384 3 0.16131 11/2 + * 9443 1451 385 4 0.16168 1/2 + 9443 1451 386 5 0.17094 3/2 + 9443 1451 387 6 0.17505 7/2 + 9443 1451 388 7 0.22299 5/2 + 9443 1451 389 8 0.23194 9/2 + 9443 1451 390 9 0.23500 13/2 + * 9443 1451 391 10 0.24489 7/2 + 9443 1451 392 11 0.30117 11/2 + 9443 1451 393 12 0.33700 1/2 + 9443 1451 394 13 0.33714 9/2 + 9443 1451 395 14 0.37300 11/2 + 9443 1451 396 15 0.37600 1/2 - 9443 1451 397 16 0.38500 13/2 + 9443 1451 398 17 0.40445 9/2 - 9443 1451 399 18 0.40890 7/2 - 9443 1451 400 19 0.44600 11/2 - 9443 1451 401 20 0.47300 1/2 - 9443 1451 402 21 0.49500 7/2 + 9443 1451 403 22 0.50300 13/2 + 9443 1451 404 23 0.51881 5/2 - 9443 1451 405 24 0.53420 7/2 + 9443 1451 406 25 0.56142 7/2 - 9443 1451 407 26 0.57000 15/2 - 9443 1451 408 27 0.61484 9/2 - 9443 1451 409 28 0.64500 13/2 - 9443 1451 410 29 0.68100 1/2 - 9443 1451 411 30 0.75517 1/2 + 9443 1451 412 31 0.76927 1/2 - 9443 1451 413 32 0.77915 3/2 - 9443 1451 414 33 0.78415 3/2 + 9443 1451 415 34 0.80044 3/2 + 9443 1451 416 35 0.80048 5/2 + 9443 1451 417 36 0.81095 5/2 - 9443 1451 418 37 0.83159 5/2 + 9443 1451 419 38 0.83330 7/2 - 9443 1451 420 39 0.83484 3/2 + 9443 1451 421 40 0.84196 1/2 - 9443 1451 422 ------------------- 9443 1451 423 *) Coupled levels in CC calculation 9443 1451 424 9443 1451 425 Table 3. Level density parameters 9443 1451 426 -------------------------------------------------------- 9443 1451 427 Nuclide a* Pair Eshell T E0 Ematch 9443 1451 428 1/MeV MeV MeV MeV MeV MeV 9443 1451 429 -------------------------------------------------------- 9443 1451 430 Pu-242 18.5806 1.5428 2.4520 0.3710 0.0263 3.6230 9443 1451 431 Pu-241 19.1301 0.7730 2.1853 0.3372 -0.4308 2.4675 9443 1451 432 Pu-240 18.5012 1.5492 2.1440 0.3871 -0.0917 3.7899 9443 1451 433 Pu-239 18.4349 0.7762 1.8503 0.3560 -0.5001 2.5655 9443 1451 434 Pu-238 18.3685 1.5557 1.9652 0.3804 0.0287 3.6608 9443 1451 435 -------------------------------------------------------- 9443 1451 436 9443 1451 437 Table 4. Fission barrier parameters 9443 1451 438 ---------------------------------------- 9443 1451 439 Nuclide V_A hw_A V_B hw_B 9443 1451 440 MeV MeV MeV MeV 9443 1451 441 ---------------------------------------- 9443 1451 442 Pu-242 6.172 0.998 4.674 0.600 9443 1451 443 Pu-241 5.795 0.580 5.487 0.520 9443 1451 444 Pu-240 6.250 1.040 4.920 0.600 9443 1451 445 Pu-239 6.050 0.700 5.700 0.600 9443 1451 446 Pu-238 6.000 1.040 4.800 0.600 9443 1451 447 ---------------------------------------- 9443 1451 448 9443 1451 449 Table 5. Level density above inner saddle 9443 1451 450 -------------------------------------------------------- 9443 1451 451 Nuclide a* Pair Eshell T E0 Ematch 9443 1451 452 1/MeV MeV MeV MeV MeV MeV 9443 1451 453 -------------------------------------------------------- 9443 1451 454 Pu-242 20.4971 1.7999 2.6000 0.3433 -0.8376 3.9999 9443 1451 455 Pu-241 20.4242 0.9018 2.6000 0.3647 -2.0579 3.4018 9443 1451 456 Pu-240 20.3513 1.8074 2.6000 0.3300 -0.6156 3.8074 9443 1451 457 Pu-239 20.2784 0.9056 2.6000 0.3523 -1.8394 3.2056 9443 1451 458 Pu-238 20.2054 1.8150 2.6000 0.3313 -0.6081 3.8150 9443 1451 459 -------------------------------------------------------- 9443 1451 460 9443 1451 461 Table 6. Level density above outer saddle 9443 1451 462 -------------------------------------------------------- 9443 1451 463 Nuclide a* Pair Eshell T E0 Ematch 9443 1451 464 1/MeV MeV MeV MeV MeV MeV 9443 1451 465 -------------------------------------------------------- 9443 1451 466 Pu-242 20.4971 1.7999 0.5000 0.3933 -0.2466 4.1999 9443 1451 467 Pu-241 20.4242 0.9018 0.4600 0.3804 -0.9744 3.1018 9443 1451 468 Pu-240 20.5363 1.8074 0.4200 0.3796 -0.0661 4.0074 9443 1451 469 Pu-239 20.2784 0.9056 0.3800 0.3901 -1.0534 3.2056 9443 1451 470 Pu-238 20.2054 1.8150 0.3400 0.3694 0.1086 3.8150 9443 1451 471 -------------------------------------------------------- 9443 1451 472 9443 1451 473 Table 7. Gamma-ray strength function for Pu-242 9443 1451 474 -------------------------------------------------------- 9443 1451 475 K0 = 2.481 E0 = 4.500 (MeV) 9443 1451 476 * E1: ER = 10.90 (MeV) EG = 2.50 (MeV) SIG = 300.00 (mb) 9443 1451 477 ER = 13.80 (MeV) EG = 4.70 (MeV) SIG = 450.00 (mb) 9443 1451 478 * M1: ER = 6.58 (MeV) EG = 4.00 (MeV) SIG = 3.87 (mb) 9443 1451 479 * E2: ER = 10.11 (MeV) EG = 3.21 (MeV) SIG = 6.78 (mb) 9443 1451 480 -------------------------------------------------------- 9443 1451 481 9443 1451 482 9443 1451 483 References 9443 1451 484 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9443 1451 485 2) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9443 1451 486 3) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9443 1451 487 4) M.C.Brady, T.R.England: Nucl. Sci. Eng., 103, 129 (1989). 9443 1451 488 5) H.Conde et al.: J. Nucl. 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Rev., C7, 1173 (1973). 9443 1451 514 31) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9443 1451 515 Japanese. 9443 1451 516 32) C.Kalbach: Phys. Rev. C33, 818 (1986). 9443 1451 517 33) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9443 1451 518 34) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9443 1451 519 35) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9443 1451 520 36) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9443 1451 521 37) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9443 1451 522 38) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9443 1451 523 9443 1451 524 9443 1451 525 Appendix A-1: Resonance parameters 9443 1451 526 ---------------------------------------------------------------- 9443 1451 527 Reevaluation of rhe resonance parameters in the energy range up 9443 1451 528 to 20 eV - Colaboration ORNL(USA)-CEN/CAD(FRANCE) 9443 1451 529 H. Derrien and L.C Leal, ORNL 9443 1451 530 A. Courcelle and A. Santamarina, CEN/CAD 9443 1451 531 (submitted to NSE, 2003) 9443 1451 532 9443 1451 533 9443 1451 534 Cross section integrals in the energy range 0.0021 eV to 20.0 eV 9443 1451 535 9443 1451 536 ------------------------------------------------------------- 9443 1451 537 Energy Range Capture b-eV Fission b-eV 9443 1451 538 eV 1993 Present 1993 Present 9443 1451 539 ------------------------------------------------------------- 9443 1451 540 0.0021-0.020 12.25 12.51 2.1% 31.06 31.43 1.2% 9443 1451 541 0.0200-0.030 3.67 3.72 1.4% 10.24 10.36 1.2% 9443 1451 542 0.0300-0.100 15.28 15.59 2.0% 49.02 49.14 0.2% 9443 1451 543 0.1000-0.500 110.58 117.40 6.2% 262.76 263.84 0.4% 9443 1451 544 0.5000-1.000 5.90 6.03 2.2% 17.93 17.89 -0.2% 9443 1451 545 1.0000-3.000 7.30 7.16 -2.0% 54.88 52.89 -3.8% 9443 1451 546 3.0000-20.00 1213. 1234. 1.7% 3039. 3026. -0.4% 9443 1451 547 ------------------------------------------------------------- 9443 1451 548 9443 1451 549 The cross sections at 0.0253 eV are the following: 9443 1451 550 9443 1451 551 Total 1386.5 b 9443 1451 552 Fission 1012.2 b 9443 1451 553 Capture 363.0 b 9443 1451 554 9443 1451 555 very close to the current standard. 9443 1451 556 9443 1451 557 The fit of the experimental data (Young total, Wagemans fission, 9443 1451 558 Weston capture and Weston fission ) were performed by assuming 9443 1451 559 that young total and Wagemans fission were OK with the standard 9443 1451 560 and that Weston original data(from the EXFOR file)needed a renor- 9443 1451 561 zation to agree with the standard. A consistent normalization 9443 1451 562 was obtained by a SAMMY fit leading to a decrease of 4.5% 9443 1451 563 in the original Weston fission and a decrease of 3.0% in the 9443 1451 564 original Weston capture.The differences between the 1988, 1993 9443 1451 565 and the present results are consistent with the experimental 9443 1451 566 errors given by Weston for the measured fission (2-3%) and 9443 1451 567 capture (10-15%). The default of normalization of the Weston 9443 1451 568 fission,due to severe experimental errors in the thermal range, 9443 1451 569 was responsible for the large uncertainty in the capture results. 9443 1451 570 9443 1451 571 9443 1451 572 1 451 586 19443 1451 573 2 151 4 19443 1451 574 3 4 36 19443 1451 575 3 16 13 19443 1451 576 3 17 9 19443 1451 577 3 18 3678 19443 1451 578 3 37 4 19443 1451 579 3 102 4606 19443 1451 580 8 4 2 19443 1451 581 8 16 2 19443 1451 582 8 17 2 19443 1451 583 8 18 2 19443 1451 584 8 37 2 19443 1451 585 8 102 2 19443 1451 586 9443 1 099999 9443 0 0 0 9.424100+4 2.389860+2 0 0 1 09443 2151 1 9.424100+4 1.000000+0 0 0 1 09443 2151 2 1.000000-5 3.000000+2 0 0 0 09443 2151 3 2.500000+0 9.540000-1 0 0 0 09443 2151 4 9443 2 099999 9443 0 0 0 9.424100+4 2.389860+2 0 0 0 09443 3 4 1 0.000000+0-4.197200+4 0 0 1 979443 3 4 2 97 2 9443 3 4 3 4.214760+4 0.000000+0 5.000000+4 6.557460-2 7.000000+4 1.287190-19443 3 4 4 9.618080+4 1.958490-1 1.000000+5 2.081152-1 1.150000+5 2.489898-19443 3 4 5 1.300000+5 2.898686-1 1.619890+5 3.665273-1 1.623620+5 3.676767-19443 3 4 6 1.700000+5 3.903225-1 1.716550+5 3.950555-1 1.757840+5 4.218989-19443 3 4 7 2.000000+5 5.712219-1 2.239210+5 6.689325-1 2.329050+5 7.285178-19443 3 4 8 2.329060+5 7.285254-1 2.359830+5 7.464224-1 2.459150+5 7.967991-19443 3 4 9 3.000000+5 1.058320+0 3.024320+5 1.064808+0 3.384100+5 1.151066+09443 3 4 10 3.385470+5 1.151573+0 3.745610+5 1.231200+0 3.775730+5 1.237467+09443 3 4 11 3.866110+5 1.257141+0 4.000000+5 1.283317+0 4.061450+5 1.294810+09443 3 4 12 4.106100+5 1.305005+0 4.478660+5 1.392434+0 4.749790+5 1.446116+09443 3 4 13 4.970710+5 1.488400+0 5.000000+5 1.496409+0 5.051050+5 1.502275+09443 3 4 14 5.209830+5 1.517909+0 5.364370+5 1.539058+0 5.637700+5 1.572067+09443 3 4 15 5.723850+5 1.584443+0 6.000000+5 1.614486+0 6.174090+5 1.630301+09443 3 4 16 6.476990+5 1.656957+0 6.838500+5 1.682591+0 7.000000+5 1.693119+09443 3 4 17 7.583340+5 1.686996+0 7.724880+5 1.684271+0 7.824100+5 1.682651+09443 3 4 18 7.874330+5 1.682936+0 8.000000+5 1.683387+0 8.037920+5 1.683145+09443 3 4 19 8.038280+5 1.683224+0 8.143390+5 1.686048+0 8.350670+5 1.690956+09443 3 4 20 8.367870+5 1.691915+0 8.383320+5 1.693043+0 8.454800+5 1.696576+09443 3 4 21 9.000000+5 1.708253+0 1.000000+6 1.721349+0 1.300000+6 1.784770+09443 3 4 22 1.600000+6 1.876831+0 1.800000+6 1.932357+0 2.000000+6 1.975338+09443 3 4 23 2.300000+6 2.015797+0 2.500000+6 2.029915+0 2.700000+6 2.040068+09443 3 4 24 3.000000+6 2.095221+0 3.500000+6 2.107442+0 4.000000+6 2.107230+09443 3 4 25 4.500000+6 2.107230+0 5.000000+6 2.124554+0 5.500000+6 2.099019+09443 3 4 26 6.000000+6 1.764818+0 6.500000+6 1.359550+0 7.000000+6 1.091712+09443 3 4 27 7.500000+6 9.137284-1 8.000000+6 7.901841-1 8.500000+6 7.043639-19443 3 4 28 9.000000+6 6.434166-1 9.500000+6 5.942028-1 1.000000+7 5.554334-19443 3 4 29 1.050000+7 5.236394-1 1.100000+7 4.965354-1 1.150000+7 4.732267-19443 3 4 30 1.200000+7 4.518475-1 1.250000+7 4.322813-1 1.300000+7 4.137402-19443 3 4 31 1.350000+7 3.973173-1 1.400000+7 3.822661-1 1.450000+7 3.673287-19443 3 4 32 1.500000+7 3.531104-1 1.550000+7 3.416661-1 1.600000+7 3.288487-19443 3 4 33 1.650000+7 3.181434-1 1.700000+7 3.070654-1 1.750000+7 2.976623-19443 3 4 34 1.800000+7 2.876956-1 1.850000+7 2.789831-1 1.950000+7 2.633801-19443 3 4 35 2.000000+7 2.563506-1 9443 3 4 36 9443 3 099999 9.424100+4 2.389860+2 0 0 0 09443 3 16 1 -5.241520+6-5.241520+6 0 0 1 309443 3 16 2 30 2 9443 3 16 3 5.263450+6 0.000000+0 5.500000+6 1.544450-2 6.000000+6 2.165780-19443 3 16 4 6.500000+6 3.674500-1 7.000000+6 4.465440-1 7.500000+6 5.067080-19443 3 16 5 8.000000+6 5.832960-1 8.500000+6 6.233120-1 9.000000+6 6.622580-19443 3 16 6 9.500000+6 6.992890-1 1.000000+7 7.378860-1 1.050000+7 7.651720-19443 3 16 7 1.100000+7 8.082170-1 1.150000+7 8.356260-1 1.200000+7 8.423520-19443 3 16 8 1.250000+7 8.172520-1 1.300000+7 7.602500-1 1.350000+7 6.852430-19443 3 16 9 1.400000+7 6.034000-1 1.450000+7 5.277550-1 1.500000+7 4.595680-19443 3 16 10 1.550000+7 3.964150-1 1.600000+7 3.513680-1 1.650000+7 3.146250-19443 3 16 11 1.700000+7 2.811040-1 1.750000+7 2.587850-1 1.800000+7 2.370250-19443 3 16 12 1.850000+7 2.241800-1 1.950000+7 1.998400-1 2.000000+7 1.882230-19443 3 16 13 9443 3 099999 9.424100+4 2.389860+2 0 0 0 09443 3 17 1 -1.177570+7-1.177570+7 0 0 1 169443 3 17 2 16 2 9443 3 17 3 1.182500+7 0.000000+0 1.250000+7 8.154190-4 1.300000+7 1.187290-29443 3 17 4 1.350000+7 3.820690-2 1.400000+7 7.867190-2 1.450000+7 1.143610-19443 3 17 5 1.500000+7 1.642210-1 1.550000+7 1.959330-1 1.600000+7 2.223260-19443 3 17 6 1.650000+7 2.480840-1 1.700000+7 2.718700-1 1.750000+7 2.950360-19443 3 17 7 1.800000+7 3.166560-1 1.850000+7 3.369400-1 1.950000+7 3.663860-19443 3 17 8 2.000000+7 3.694880-1 9443 3 17 9 9443 3 099999 9.424100+4 2.389860+2 0 0 0 09443 3 18 1 2.017390+8 2.017390+8 0 0 1 110259443 3 18 2 11025 2 9443 3 18 3 1.000000-5 5.285904+4 1.103037-5 5.032954+4 1.216691-5 4.792107+49443 3 18 4 1.342055-5 4.562784+4 1.480336-5 4.344434+4 1.632865-5 4.136531+49443 3 18 5 1.801111-5 3.938576+4 1.986691-5 3.750092+4 2.191394-5 3.570626+49443 3 18 6 2.417189-5 3.399747+4 2.666248-5 3.237043+4 2.940971-5 3.082124+49443 3 18 7 3.243999-5 2.934617+4 3.578251-5 2.794166+4 3.946943-5 2.660435+49443 3 18 8 4.353624-5 2.533102+4 4.802208-5 2.411860+4 5.297013-5 2.296419+49443 3 18 9 5.842801-5 2.186499+4 6.444825-5 2.081838+4 7.108881-5 1.982183+49443 3 18 10 7.841358-5 1.887295+4 8.649308-5 1.796945+4 9.540506-5 1.710917+49443 3 18 11 1.052353-4 1.629003+4 1.160784-4 1.551007+4 1.280388-4 1.476740+49443 3 18 12 1.412315-4 1.406024+4 1.557836-4 1.338690+4 1.718351-4 1.274575+49443 3 18 13 1.895404-4 1.213525+4 2.090701-4 1.155394+4 2.306120-4 1.100041+49443 3 18 14 2.543736-4 1.047333+4 2.805835-4 9.971445+3 3.094939-4 9.493536+39443 3 18 15 3.413832-4 9.038458+3 3.765583-4 8.605117+3 4.153577-4 8.192471+39443 3 18 16 4.581549-4 7.799528+3 5.053618-4 7.425343+3 5.574328-4 7.069016+39443 3 18 17 6.148689-4 6.729692+3 6.782232-4 6.406554+3 7.481052-4 6.098826+39443 3 18 18 8.251877-4 5.805768+3 9.102125-4 5.526677+3 1.003998-3 5.260882+39443 3 18 19 1.107447-3 5.007745+3 1.221555-3 4.766657+3 1.347420-3 4.537041+39443 3 18 20 1.486254-3 4.318345+3 1.639393-3 4.110045+3 1.808311-3 3.911644+39443 3 18 21 1.994634-3 3.722665+3 2.200155-3 3.542661+3 2.426853-3 3.371203+39443 3 18 22 2.676908-3 3.207889+3 2.952729-3 3.052339+3 3.256969-3 2.904188+39443 3 18 23 3.592557-3 2.763086+3 3.962723-3 2.628687+3 4.371030-3 2.500645+39443 3 18 24 4.821407-3 2.378625+3 5.318191-3 2.262324+3 5.866161-3 2.151491+39443 3 18 25 6.470592-3 2.045912+3 7.137302-3 1.945394+3 7.872708-3 1.849685+39443 3 18 26 8.683888-3 1.758523+3 9.578649-3 1.671658+3 1.056560-2 1.588908+39443 3 18 27 1.165425-2 1.510141+3 1.285507-2 1.435223+3 1.417962-2 1.364022+39443 3 18 28 1.564064-2 1.296428+3 1.725221-2 1.232319+3 1.902982-2 1.171494+39443 3 18 29 2.099059-2 1.113772+3 2.315340-2 1.059106+3 2.524188-2 1.013484+39443 3 18 30 2.530000-2 1.012301+3 2.790683-2 9.633909+2 3.078227-2 9.174207+29443 3 18 31 3.395398-2 8.743474+2 3.719198-2 8.369304+2 4.073676-2 8.020347+29443 3 18 32 4.462160-2 7.696485+2 4.887450-2 7.398554+2 5.353538-2 7.127010+29443 3 18 33 5.863787-2 6.883286+2 6.422983-2 6.668733+2 7.035161-2 6.485823+29443 3 18 34 7.706063-2 6.337454+2 8.381820-2 6.234939+2 9.116835-2 6.170103+29443 3 18 35 9.846844-2 6.149007+2 1.062385-1 6.170301+2 1.147509-1 6.242474+29443 3 18 36 1.230772-1 6.360351+2 1.320077-1 6.536755+2 1.405943-1 6.754324+29443 3 18 37 1.486979-1 7.005544+2 1.561915-1 7.285672+2 1.628959-1 7.586059+29443 3 18 38 1.686981-1 7.892885+2 1.747156-1 8.264742+2 1.809388-1 8.713480+29443 3 18 39 1.860803-1 9.137460+2 1.913678-1 9.626572+2 1.968056-1 1.018759+39443 3 18 40 2.023979-1 1.082624+3 2.081492-1 1.154564+3 2.155738-1 1.255492+39443 3 18 41 2.312158-1 1.478403+3 2.361203-1 1.541587+3 2.411406-1 1.596616+39443 3 18 42 2.445427-1 1.626125+3 2.479928-1 1.648019+3 2.514915-1 1.660683+39443 3 18 43 2.539914-1 1.663257+3 2.565266-1 1.660034+3 2.601457-1 1.644961+39443 3 18 44 2.637041-1 1.618162+3 2.666664-1 1.587153+3 2.704286-1 1.537321+39443 3 18 45 2.742439-1 1.476403+3 2.781130-1 1.406065+3 2.840122-1 1.287575+39443 3 18 46 2.962033-1 1.030767+3 3.003822-1 9.467560+2 3.046200-1 8.660903+29443 3 18 47 3.089177-1 7.897591+2 3.121864-1 7.356641+2 3.154858-1 6.846054+29443 3 18 48 3.188162-1 6.366520+2 3.221778-1 5.918057+2 3.255868-1 5.498250+29443 3 18 49 3.290279-1 5.108324+2 3.325013-1 4.747043+2 3.360072-1 4.412968+29443 3 18 50 3.395625-1 4.103145+2 3.431513-1 3.817551+2 3.467737-1 3.554532+29443 3 18 51 3.504301-1 3.312459+2 3.541381-1 3.088749+2 3.578809-1 2.883052+29443 3 18 52 3.616588-1 2.693926+2 3.654721-1 2.520016+2 3.693393-1 2.359340+29443 3 18 53 3.732428-1 2.211559+2 3.771829-1 2.075580+2 3.811599-1 1.950400+29443 3 18 54 3.851930-1 1.834575+2 3.892640-1 1.727861+2 3.933733-1 1.629477+29443 3 18 55 3.975210-1 1.538711+2 4.017272-1 1.454536+2 4.059730-1 1.376794+29443 3 18 56 4.102586-1 1.304941+2 4.145844-1 1.238481+2 4.204334-1 1.157240+29443 3 18 57 4.263650-1 1.083765+2 4.323802-1 1.017234+2 4.384803-1 9.569166+19443 3 18 58 4.446665-1 9.021677+1 4.509399-1 8.524138+1 4.573019-1 8.071462+19443 3 18 59 4.637536-1 7.659131+1 4.702963-1 7.283142+1 4.769314-1 6.939937+19443 3 18 60 4.836600-1 6.626320+1 4.904836-1 6.339368+1 4.974034-1 6.076462+19443 3 18 61 5.044209-1 5.835336+1 5.151458-1 5.509875+1 5.260729-1 5.223736+19443 3 18 62 5.372582-1 4.970451+1 5.486543-1 4.747038+1 5.603197-1 4.548297+19443 3 18 63 5.722051-1 4.371532+1 5.843712-1 4.213452+1 5.967667-1 4.072789+19443 3 18 64 6.137241-1 3.907890+1 6.311634-1 3.765233+1 6.490981-1 3.641420+19443 3 18 65 6.722515-1 3.508781+1 6.961965-1 3.396811+1 7.260804-1 3.284368+19443 3 18 66 7.572471-1 3.191656+1 7.953225-1 3.102671+1 8.411636-1 3.021191+19443 3 18 67 8.958785-1 2.950123+1 9.608832-1 2.890802+1 1.037875+0 2.844946+19443 3 18 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18 1788 1.186604+2 3.729521+0 1.186845+2 3.930243+0 1.187185+2 4.243410+09443 3 18 1789 1.187482+2 4.542223+0 1.188353+2 5.473240+0 1.188669+2 5.783085+09443 3 18 1790 1.188907+2 5.983963+0 1.189144+2 6.146584+0 1.189381+2 6.261440+09443 3 18 1791 1.189540+2 6.307360+0 1.189718+2 6.326902+0 1.189908+2 6.308229+09443 3 18 1792 1.190103+2 6.245146+0 1.190299+2 6.137891+0 1.190492+2 5.990318+09443 3 18 1793 1.190679+2 5.812153+0 1.190917+2 5.540734+0 1.191115+2 5.284571+09443 3 18 1794 1.191455+2 4.801588+0 1.191977+2 4.039651+0 1.192215+2 3.716118+09443 3 18 1795 1.192444+2 3.430955+0 1.192586+2 3.271036+0 1.192729+2 3.125381+09443 3 18 1796 1.192871+2 2.994803+0 1.193013+2 2.879689+0 1.193156+2 2.780255+09443 3 18 1797 1.193298+2 2.696509+0 1.193441+2 2.628096+0 1.193570+2 2.578836+09443 3 18 1798 1.193744+2 2.530748+0 1.193918+2 2.502126+0 1.194092+2 2.491216+09443 3 18 1799 1.194121+2 2.490990+0 1.194324+2 2.501013+0 1.194543+2 2.532121+09443 3 18 1800 1.194748+2 2.577496+0 1.194954+2 2.635832+0 1.195262+2 2.742739+09443 3 18 1801 1.195570+2 2.867652+0 1.195879+2 3.006388+0 1.196260+2 3.193883+09443 3 18 1802 1.196612+2 3.381595+0 1.196964+2 3.585006+0 1.197316+2 3.807648+09443 3 18 1803 1.197688+2 4.069349+0 1.197981+2 4.300308+0 1.198274+2 4.557461+09443 3 18 1804 1.198568+2 4.845488+0 1.198861+2 5.168960+0 1.199155+2 5.532057+09443 3 18 1805 1.199448+2 5.937995+0 1.199742+2 6.388539+0 1.200035+2 6.883384+09443 3 18 1806 1.200329+2 7.419748+0 1.200622+2 7.991934+0 1.201189+2 9.165753+09443 3 18 1807 1.201757+2 1.034965+1 1.202113+2 1.104871+1 1.202469+2 1.168232+19443 3 18 1808 1.202803+2 1.219776+1 1.203082+2 1.256016+1 1.203361+2 1.285637+19443 3 18 1809 1.203694+2 1.312270+1 1.204026+2 1.330004+1 1.204359+2 1.339916+19443 3 18 1810 1.204691+2 1.343464+1 1.205299+2 1.338998+1 1.206522+2 1.320052+19443 3 18 1811 1.207008+2 1.317804+1 1.207652+2 1.322958+1 1.208204+2 1.334991+19443 3 18 1812 1.208755+2 1.353604+1 1.209307+2 1.378185+1 1.210056+2 1.420305+19443 3 18 1813 1.210818+2 1.473527+1 1.211390+2 1.521373+1 1.211961+2 1.578008+19443 3 18 1814 1.212533+2 1.646517+1 1.212915+2 1.701190+1 1.213299+2 1.765249+19443 3 18 1815 1.213682+2 1.840733+1 1.213970+2 1.906417+1 1.214258+2 1.981278+19443 3 18 1816 1.214550+2 2.067998+1 1.214842+2 2.167244+1 1.215036+2 2.241244+19443 3 18 1817 1.215292+2 2.349426+1 1.215549+2 2.471029+1 1.215805+2 2.607552+19443 3 18 1818 1.216061+2 2.760574+1 1.216317+2 2.931796+1 1.216574+2 3.122988+19443 3 18 1819 1.216830+2 3.336026+1 1.217086+2 3.572823+1 1.217352+2 3.845949+19443 3 18 1820 1.217618+2 4.148918+1 1.217884+2 4.483720+1 1.218150+2 4.851988+19443 3 18 1821 1.218416+2 5.254847+1 1.218671+2 5.673791+1 1.218921+2 6.114040+19443 3 18 1822 1.219254+2 6.744277+1 1.219670+2 7.588792+1 1.220422+2 9.177198+19443 3 18 1823 1.220715+2 9.766919+1 1.221008+2 1.030788+2 1.221301+2 1.077620+29443 3 18 1824 1.221520+2 1.106624+2 1.221740+2 1.129392+2 1.221959+2 1.145174+29443 3 18 1825 1.222179+2 1.153388+2 1.222292+2 1.154536+2 1.222450+2 1.152565+29443 3 18 1826 1.222648+2 1.144172+2 1.222899+2 1.124260+2 1.223064+2 1.105834+29443 3 18 1827 1.223278+2 1.076031+2 1.223492+2 1.040272+2 1.223725+2 9.955981+19443 3 18 1828 1.223958+2 9.461353+1 1.224327+2 8.611009+1 1.225076+2 6.824449+19443 3 18 1829 1.225397+2 6.101752+1 1.225611+2 5.649001+1 1.225825+2 5.223842+19443 3 18 1830 1.226039+2 4.828634+1 1.226253+2 4.464815+1 1.226467+2 4.132890+19443 3 18 1831 1.226681+2 3.832723+1 1.226882+2 3.579521+1 1.227082+2 3.352786+19443 3 18 1832 1.227283+2 3.151462+1 1.227484+2 2.974438+1 1.227684+2 2.820573+19443 3 18 1833 1.227842+2 2.715122+1 1.228024+2 2.609936+1 1.228206+2 2.521660+19443 3 18 1834 1.228388+2 2.449795+1 1.228569+2 2.393982+1 1.228751+2 2.354018+19443 3 18 1835 1.228933+2 2.329861+1 1.229115+2 2.321626+1 1.229259+2 2.326564+19443 3 18 1836 1.229413+2 2.343231+1 1.229566+2 2.371939+1 1.229720+2 2.413008+19443 3 18 1837 1.229874+2 2.466763+1 1.230027+2 2.533526+1 1.230181+2 2.613555+19443 3 18 1838 1.230334+2 2.707036+1 1.230488+2 2.814010+1 1.230670+2 2.957627+19443 3 18 1839 1.230851+2 3.119284+1 1.230972+2 3.236539+1 1.231214+2 3.491548+19443 3 18 1840 1.231456+2 3.768958+1 1.232117+2 4.568984+1 1.232337+2 4.818379+19443 3 18 1841 1.232557+2 5.041832+1 1.232722+2 5.185847+1 1.232887+2 5.304786+19443 3 18 1842 1.233052+2 5.394956+1 1.233218+2 5.452553+1 1.233383+2 5.474938+19443 3 18 1843 1.233411+2 5.475131+1 1.233554+2 5.459475+1 1.233724+2 5.403987+19443 3 18 1844 1.233900+2 5.305124+1 1.234082+2 5.160748+1 1.234274+2 4.964267+19443 3 18 1845 1.234451+2 4.748882+1 1.234611+2 4.530130+1 1.234857+2 4.159863+19443 3 18 1846 1.235239+2 3.540655+1 1.235567+2 3.009761+1 1.235749+2 2.728405+19443 3 18 1847 1.235886+2 2.528118+1 1.236019+2 2.344727+1 1.236151+2 2.172911+19443 3 18 1848 1.236284+2 2.013537+1 1.236416+2 1.867212+1 1.236540+2 1.742035+19443 3 18 1849 1.236665+2 1.628658+1 1.236789+2 1.526917+1 1.236913+2 1.436515+19443 3 18 1850 1.237038+2 1.356997+1 1.237145+2 1.296422+1 1.237245+2 1.247020+19443 3 18 1851 1.237345+2 1.203536+1 1.237477+2 1.154085+1 1.237610+2 1.113527+19443 3 18 1852 1.237743+2 1.080902+1 1.237876+2 1.055263+1 1.238008+2 1.035682+19443 3 18 1853 1.238141+2 1.021277+1 1.238307+2 1.009295+1 1.238473+2 1.002608+19443 3 18 1854 1.238721+2 9.996713+0 1.239136+2 1.005030+1 1.239733+2 1.015619+19443 3 18 1855 1.240065+2 1.016817+1 1.240396+2 1.012857+1 1.240728+2 1.003391+19443 3 18 1856 1.241060+2 9.885975+0 1.241391+2 9.689565+0 1.241889+2 9.318262+09443 3 18 1857 1.242386+2 8.876189+0 1.243083+2 8.182330+0 1.244476+2 6.727442+09443 3 18 1858 1.244998+2 6.208854+0 1.245504+2 5.736828+0 1.246001+2 5.307209+09443 3 18 1859 1.246498+2 4.915592+0 1.246996+2 4.563967+0 1.247328+2 4.352228+09443 3 18 1860 1.247659+2 4.158678+0 1.247991+2 3.983209+0 1.248322+2 3.825621+09443 3 18 1861 1.248654+2 3.685656+0 1.248986+2 3.563011+0 1.249317+2 3.457365+09443 3 18 1862 1.249649+2 3.368396+0 1.249981+2 3.295798+0 1.250312+2 3.239287+09443 3 18 1863 1.250677+2 3.195403+0 1.251075+2 3.169056+0 1.251349+2 3.163827+09443 3 18 1864 1.251722+2 3.173472+0 1.252170+2 3.210428+0 1.252617+2 3.274911+09443 3 18 1865 1.253065+2 3.366725+0 1.253513+2 3.485500+0 1.253896+2 3.608012+09443 3 18 1866 1.254364+2 3.782320+0 1.254832+2 3.981113+0 1.255534+2 4.314814+09443 3 18 1867 1.256805+2 4.952588+0 1.257567+2 5.303557+0 1.258990+2 5.915825+09443 3 18 1868 1.259620+2 6.227970+0 1.260515+2 6.693625+0 1.260806+2 6.819351+09443 3 18 1869 1.261131+2 6.922907+0 1.261433+2 6.971762+0 1.261553+2 6.976227+09443 3 18 1870 1.261824+2 6.951944+0 1.262094+2 6.878511+0 1.262383+2 6.745663+09443 3 18 1871 1.262672+2 6.561128+0 1.262973+2 6.322435+0 1.263275+2 6.048288+09443 3 18 1872 1.264212+2 5.118690+0 1.264547+2 4.810523+0 1.264798+2 4.601085+09443 3 18 1873 1.265050+2 4.414207+0 1.265217+2 4.303317+0 1.265500+2 4.142122+09443 3 18 1874 1.265712+2 4.043208+0 1.265925+2 3.963082+0 1.266137+2 3.901379+09443 3 18 1875 1.266349+2 3.857531+0 1.266572+2 3.829880+0 1.266796+2 3.820297+09443 3 18 1876 1.267094+2 3.833940+0 1.267392+2 3.875682+0 1.267689+2 3.943360+09443 3 18 1877 1.267987+2 4.035022+0 1.268285+2 4.148957+0 1.268583+2 4.283713+09443 3 18 1878 1.268911+2 4.454549+0 1.269268+2 4.666491+0 1.269625+2 4.903946+09443 3 18 1879 1.269983+2 5.166062+0 1.270340+2 5.452315+0 1.270698+2 5.762447+09443 3 18 1880 1.271055+2 6.096413+0 1.271591+2 6.642342+0 1.272127+2 7.243293+09443 3 18 1881 1.272664+2 7.900037+0 1.273200+2 8.613281+0 1.273736+2 9.382843+09443 3 18 1882 1.274272+2 1.020709+1 1.274987+2 1.138409+1 1.275881+2 1.295410+19443 3 18 1883 1.277311+2 1.553906+1 1.278160+2 1.698995+1 1.279574+2 1.920928+19443 3 18 1884 1.279961+2 1.988938+1 1.280252+2 2.049649+1 1.280542+2 2.124465+19443 3 18 1885 1.280736+2 2.185531+1 1.280929+2 2.258368+1 1.281123+2 2.345729+19443 3 18 1886 1.281320+2 2.452566+1 1.281451+2 2.535510+1 1.281582+2 2.629007+19443 3 18 1887 1.281761+2 2.775119+1 1.281931+2 2.935845+1 1.282100+2 3.119870+19443 3 18 1888 1.282270+2 3.328731+1 1.282440+2 3.563413+1 1.282553+2 3.734450+19443 3 18 1889 1.282702+2 3.977475+1 1.282851+2 4.240083+1 1.283075+2 4.668170+19443 3 18 1890 1.283298+2 5.131439+1 1.283671+2 5.954765+1 1.284080+2 6.867166+19443 3 18 1891 1.284341+2 7.403974+1 1.284551+2 7.788886+1 1.284735+2 8.078616+19443 3 18 1892 1.284899+2 8.289736+1 1.285036+2 8.430232+1 1.285178+2 8.535569+19443 3 18 1893 1.285353+2 8.607785+1 1.285490+2 8.618293+1 1.285627+2 8.587721+19443 3 18 1894 1.285797+2 8.493513+1 1.285970+2 8.334054+1 1.286157+2 8.097414+19443 3 18 1895 1.286363+2 7.764016+1 1.286520+2 7.467870+1 1.286676+2 7.140926+19443 3 18 1896 1.286872+2 6.697530+1 1.287166+2 5.987091+1 1.287633+2 4.840926+19443 3 18 1897 1.287890+2 4.240555+1 1.288061+2 3.864337+1 1.288208+2 3.560634+19443 3 18 1898 1.288330+2 3.322088+1 1.288453+2 3.097158+1 1.288575+2 2.886220+19443 3 18 1899 1.288697+2 2.689426+1 1.288819+2 2.506738+1 1.288942+2 2.337951+19443 3 18 1900 1.289064+2 2.182710+1 1.289175+2 2.053434+1 1.289274+2 1.946406+19443 3 18 1901 1.289373+2 1.847298+1 1.289472+2 1.755745+1 1.289571+2 1.671366+19443 3 18 1902 1.289670+2 1.593769+1 1.289819+2 1.489230+1 1.289968+2 1.397726+19443 3 18 1903 1.290116+2 1.317965+1 1.290265+2 1.248699+1 1.290414+2 1.188772+19443 3 18 1904 1.290562+2 1.137103+1 1.290711+2 1.092720+1 1.290853+2 1.056238+19443 3 18 1905 1.290996+2 1.024937+1 1.291185+2 9.902146+0 1.291375+2 9.623870+09443 3 18 1906 1.291565+2 9.404324+0 1.291755+2 9.235184+0 1.291944+2 9.109757+09443 3 18 1907 1.292229+2 8.992283+0 1.292516+2 8.948168+0 1.292803+2 8.969671+09443 3 18 1908 1.293089+2 9.051342+0 1.293376+2 9.190387+0 1.293663+2 9.386135+09443 3 18 1909 1.293950+2 9.639637+0 1.294236+2 9.953516+0 1.294523+2 1.033180+19443 3 18 1910 1.294776+2 1.072358+1 1.295029+2 1.117433+1 1.295282+2 1.168945+19443 3 18 1911 1.295536+2 1.227497+1 1.295789+2 1.293751+1 1.296042+2 1.368358+19443 3 18 1912 1.296295+2 1.452017+1 1.296548+2 1.545375+1 1.296800+2 1.648968+19443 3 18 1913 1.297053+2 1.763113+1 1.297306+2 1.887867+1 1.297559+2 2.022890+19443 3 18 1914 1.297896+2 2.217392+1 1.298234+2 2.425032+1 1.298976+2 2.897006+19443 3 18 1915 1.299246+2 3.059574+1 1.299516+2 3.208632+1 1.299765+2 3.329068+19443 3 18 1916 1.299992+2 3.421348+1 1.300220+2 3.493707+1 1.300447+2 3.544059+19443 3 18 1917 1.300669+2 3.570817+1 1.300777+2 3.575793+1 1.301020+2 3.568261+19443 3 18 1918 1.301230+2 3.542450+1 1.301439+2 3.501410+1 1.302290+2 3.271416+19443 3 18 1919 1.302518+2 3.229304+1 1.302708+2 3.215318+1 1.302727+2 3.215270+19443 3 18 1920 1.302898+2 3.228062+1 1.303050+2 3.262448+1 1.303163+2 3.304912+19443 3 18 1921 1.303277+2 3.363513+1 1.303391+2 3.439921+1 1.303480+2 3.512742+19443 3 18 1922 1.303581+2 3.611387+1 1.303682+2 3.727490+1 1.303783+2 3.862088+19443 3 18 1923 1.303876+2 4.002455+1 1.304003+2 4.221237+1 1.304129+2 4.473170+19443 3 18 1924 1.304255+2 4.759472+1 1.304382+2 5.081075+1 1.304508+2 5.438441+19443 3 18 1925 1.304625+2 5.801359+1 1.304742+2 6.194657+1 1.304898+2 6.765080+19443 3 18 1926 1.305054+2 7.385334+1 1.305197+2 7.995645+1 1.305394+2 8.884391+19443 3 18 1927 1.305655+2 1.014196+2 1.306138+2 1.253095+2 1.306400+2 1.376344+29443 3 18 1928 1.306588+2 1.456938+2 1.306775+2 1.528753+2 1.306963+2 1.589692+29443 3 18 1929 1.307150+2 1.637905+2 1.307306+2 1.667314+2 1.307463+2 1.686158+29443 3 18 1930 1.307634+2 1.694186+2 1.307651+2 1.694256+2 1.307783+2 1.690346+29443 3 18 1931 1.307934+2 1.676147+2 1.308078+2 1.653288+2 1.308225+2 1.620982+29443 3 18 1932 1.308375+2 1.579307+2 1.308525+2 1.529633+2 1.308675+2 1.472896+29443 3 18 1933 1.308838+2 1.404662+2 1.309100+2 1.283086+2 1.309400+2 1.133812+29443 3 18 1934 1.309812+2 9.260374+1 1.309999+2 8.351519+1 1.310198+2 7.429255+19443 3 18 1935 1.310358+2 6.734102+1 1.310517+2 6.081920+1 1.310637+2 5.622975+19443 3 18 1936 1.310745+2 5.231098+1 1.310853+2 4.861453+1 1.310961+2 4.514058+19443 3 18 1937 1.311070+2 4.188808+1 1.311178+2 3.885294+1 1.311286+2 3.603067+19443 3 18 1938 1.311394+2 3.341433+1 1.311502+2 3.099657+1 1.311624+2 2.849601+19443 3 18 1939 1.311746+2 2.622375+1 1.311868+2 2.416523+1 1.311990+2 2.230605+19443 3 18 1940 1.312112+2 2.063126+1 1.312234+2 1.912646+1 1.312356+2 1.777732+19443 3 18 1941 1.312478+2 1.657032+1 1.312600+2 1.549208+1 1.312722+2 1.453057+19443 3 18 1942 1.312803+2 1.394864+1 1.312907+2 1.326598+1 1.313011+2 1.264844+19443 3 18 1943 1.313116+2 1.209002+1 1.313220+2 1.158537+1 1.313324+2 1.112936+19443 3 18 1944 1.313480+2 1.052678+1 1.313637+2 1.000978+1 1.313793+2 9.566283+09443 3 18 1945 1.313949+2 9.186124+0 1.314105+2 8.860459+0 1.314262+2 8.581832+09443 3 18 1946 1.314470+2 8.272659+0 1.314689+2 8.012627+0 1.314907+2 7.807402+09443 3 18 1947 1.315126+2 7.648026+0 1.315345+2 7.527462+0 1.315636+2 7.417605+09443 3 18 1948 1.315949+2 7.354070+0 1.316261+2 7.337664+0 1.316574+2 7.361539+09443 3 18 1949 1.316886+2 7.420568+0 1.317355+2 7.566796+0 1.317824+2 7.774157+09443 3 18 1950 1.318344+2 8.068672+0 1.318761+2 8.349283+0 1.319177+2 8.668108+09443 3 18 1951 1.319594+2 9.024310+0 1.320010+2 9.417703+0 1.320635+2 1.007846+19443 3 18 1952 1.321260+2 1.082714+1 1.321843+2 1.161022+1 1.322406+2 1.244813+19443 3 18 1953 1.322968+2 1.337381+1 1.323531+2 1.439478+1 1.324093+2 1.551902+19443 3 18 1954 1.324655+2 1.675432+1 1.325218+2 1.810703+1 1.325780+2 1.958059+19443 3 18 1955 1.326342+2 2.117153+1 1.327092+2 2.344760+1 1.328311+2 2.727729+19443 3 18 1956 1.328873+2 2.890566+1 1.329295+2 2.996604+1 1.329717+2 3.082202+19443 3 18 1957 1.330111+2 3.138714+1 1.330505+2 3.169262+1 1.330767+2 3.174646+19443 3 18 1958 1.331092+2 3.165751+1 1.331571+2 3.128867+1 1.332139+2 3.078957+19443 3 18 1959 1.332404+2 3.070383+1 1.332670+2 3.083530+1 1.332847+2 3.109509+19443 3 18 1960 1.333024+2 3.153068+1 1.333201+2 3.217494+1 1.333378+2 3.305954+19443 3 18 1961 1.333518+2 3.395262+1 1.333674+2 3.515958+1 1.333830+2 3.660593+19443 3 18 1962 1.333987+2 3.830104+1 1.334143+2 4.024911+1 1.334299+2 4.244772+19443 3 18 1963 1.334487+2 4.540512+1 1.334685+2 4.887151+1 1.334888+2 5.273878+19443 3 18 1964 1.335195+2 5.898938+1 1.335591+2 6.718870+1 1.335841+2 7.206377+19443 3 18 1965 1.336059+2 7.586165+1 1.336248+2 7.867094+1 1.336414+2 8.068922+19443 3 18 1966 1.336562+2 8.209686+1 1.336712+2 8.309651+1 1.336857+2 8.363568+19443 3 18 1967 1.336966+2 8.375558+1 1.337133+2 8.345782+1 1.337291+2 8.264695+19443 3 18 1968 1.337451+2 8.130313+1 1.337616+2 7.942633+1 1.337783+2 7.703572+19443 3 18 1969 1.337977+2 7.372794+1 1.338207+2 6.922901+1 1.338489+2 6.307564+19443 3 18 1970 1.339077+2 4.958267+1 1.339312+2 4.445057+1 1.339488+2 4.083446+19443 3 18 1971 1.339665+2 3.746657+1 1.339841+2 3.437689+1 1.339958+2 3.248155+19443 3 18 1972 1.340076+2 3.072167+1 1.340193+2 2.909841+1 1.340323+2 2.746986+19443 3 18 1973 1.340443+2 2.609725+1 1.340593+2 2.457933+1 1.340743+2 2.326352+19443 3 18 1974 1.340893+2 2.213798+1 1.341043+2 2.118911+1 1.341193+2 2.040253+19443 3 18 1975 1.341334+2 1.979723+1 1.341475+2 1.930986+1 1.341616+2 1.892811+19443 3 18 1976 1.341757+2 1.864027+1 1.341946+2 1.838332+1 1.342134+2 1.824910+19443 3 18 1977 1.342322+2 1.821575+1 1.342604+2 1.831340+1 1.342933+2 1.858831+19443 3 18 1978 1.343168+2 1.885567+1 1.343639+2 1.948900+1 1.344579+2 2.083819+19443 3 18 1979 1.345247+2 2.168256+1 1.345748+2 2.220227+1 1.346248+2 2.260718+19443 3 18 1980 1.346749+2 2.288937+1 1.347250+2 2.304610+1 1.347662+2 2.308186+19443 3 18 1981 1.348223+2 2.300021+1 1.348721+2 2.280891+1 1.349220+2 2.251534+19443 3 18 1982 1.349763+2 2.209143+1 1.350351+2 2.152716+1 1.351233+2 2.051672+19443 3 18 1983 1.351821+2 1.976138+1 1.352996+2 1.813222+1 1.355207+2 1.497025+19443 3 18 1984 1.356241+2 1.355951+1 1.357276+2 1.223461+1 1.358051+2 1.130729+19443 3 18 1985 1.358639+2 1.064636+1 1.359297+2 9.952967+0 1.359956+2 9.318498+09443 3 18 1986 1.360449+2 8.894779+0 1.360778+2 8.647589+0 1.361155+2 8.413917+09443 3 18 1987 1.361472+2 8.272266+0 1.361684+2 8.214922+0 1.361895+2 8.194346+09443 3 18 1988 1.362107+2 8.217507+0 1.362319+2 8.291983+0 1.362530+2 8.425691+09443 3 18 1989 1.362695+2 8.575654+0 1.362871+2 8.785228+0 1.363047+2 9.049150+09443 3 18 1990 1.363224+2 9.370400+0 1.363400+2 9.750912+0 1.363576+2 1.019117+19443 3 18 1991 1.363741+2 1.065654+1 1.363971+2 1.138473+1 1.364165+2 1.206436+19443 3 18 1992 1.364423+2 1.304278+1 1.365104+2 1.574356+1 1.365384+2 1.674450+19443 3 18 1993 1.365586+2 1.737397+1 1.365762+2 1.783318+1 1.365948+2 1.821313+19443 3 18 1994 1.366108+2 1.844295+1 1.366274+2 1.857898+1 1.366395+2 1.860958+19443 3 18 1995 1.366540+2 1.856860+1 1.366719+2 1.840137+1 1.366905+2 1.809472+19443 3 18 1996 1.367084+2 1.767844+1 1.367277+2 1.711089+1 1.367477+2 1.641007+19443 3 18 1997 1.367676+2 1.561542+1 1.367978+2 1.428907+1 1.368642+2 1.120603+19443 3 18 1998 1.368836+2 1.034690+1 1.369063+2 9.399622+0 1.369233+2 8.738803+09443 3 18 1999 1.369403+2 8.125342+0 1.369573+2 7.561631+0 1.369699+2 7.177450+09443 3 18 2000 1.369837+2 6.787319+0 1.369976+2 6.429915+0 1.370114+2 6.104215+09443 3 18 2001 1.370252+2 5.808857+0 1.370390+2 5.542245+0 1.370529+2 5.302612+09443 3 18 2002 1.370667+2 5.088080+0 1.370862+2 4.824739+0 1.371050+2 4.608687+09443 3 18 2003 1.371239+2 4.426109+0 1.371427+2 4.272708+0 1.371615+2 4.144679+09443 3 18 2004 1.371804+2 4.038656+0 1.371992+2 3.951783+0 1.372244+2 3.861697+09443 3 18 2005 1.372495+2 3.797081+0 1.372746+2 3.754819+0 1.373048+2 3.730831+09443 3 18 2006 1.373161+2 3.728989+0 1.373472+2 3.743773+0 1.373718+2 3.776418+09443 3 18 2007 1.373965+2 3.828521+0 1.374211+2 3.901551+0 1.374457+2 3.997534+09443 3 18 2008 1.374703+2 4.119078+0 1.374950+2 4.269428+0 1.375134+2 4.403450+09443 3 18 2009 1.375319+2 4.557845+0 1.375520+2 4.751836+0 1.375721+2 4.976012+09443 3 18 2010 1.375922+2 5.234222+0 1.376123+2 5.530826+0 1.376274+2 5.781483+09443 3 18 2011 1.376425+2 6.058842+0 1.376576+2 6.365483+0 1.376727+2 6.704149+09443 3 18 2012 1.376878+2 7.077865+0 1.377008+2 7.432352+0 1.377169+2 7.911157+09443 3 18 2013 1.377330+2 8.441132+0 1.377491+2 9.026894+0 1.377651+2 9.673281+09443 3 18 2014 1.377812+2 1.038527+1 1.377973+2 1.116791+1 1.378134+2 1.202626+19443 3 18 2015 1.378274+2 1.284353+1 1.378455+2 1.399057+1 1.378636+2 1.525139+19443 3 18 2016 1.378817+2 1.663128+1 1.378998+2 1.813457+1 1.379179+2 1.976384+19443 3 18 2017 1.379380+2 2.172285+1 1.379581+2 2.383644+1 1.379782+2 2.609888+19443 3 18 2018 1.379983+2 2.849968+1 1.380255+2 3.193512+1 1.380617+2 3.677284+19443 3 18 2019 1.381250+2 4.544217+1 1.381527+2 4.905622+1 1.381813+2 5.252383+19443 3 18 2020 1.382100+2 5.558857+1 1.382296+2 5.739485+1 1.382497+2 5.896440+19443 3 18 2021 1.382698+2 6.022029+1 1.382899+2 6.114195+1 1.383079+2 6.167395+19443 3 18 2022 1.383324+2 6.194204+1 1.383507+2 6.180525+1 1.383690+2 6.138893+19443 3 18 2023 1.383873+2 6.070699+1 1.384110+2 5.945794+1 1.384256+2 5.850557+19443 3 18 2024 1.384547+2 5.623857+1 1.384839+2 5.358312+1 1.385291+2 4.896656+19443 3 18 2025 1.386095+2 4.038630+1 1.386417+2 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2.086863+09443 3102 1826 8.965698+1 1.863484+0 8.970965+1 1.784748+0 8.976232+1 1.715914+09443 3102 1827 8.981171+1 1.663282+0 8.984627+1 1.634710+0 8.988084+1 1.614013+09443 3102 1828 8.991541+1 1.602250+0 8.993845+1 1.599985+0 8.997302+1 1.606077+09443 3102 1829 8.999738+1 1.618102+0 9.002174+1 1.637440+0 9.004610+1 1.665094+09443 3102 1830 9.007046+1 1.702287+0 9.009482+1 1.750515+0 9.011918+1 1.811592+09443 3102 1831 9.013745+1 1.867133+0 9.015572+1 1.932198+0 9.017646+1 2.019140+09443 3102 1832 9.019358+1 2.102739+0 9.021070+1 2.198357+0 9.022782+1 2.307323+09443 3102 1833 9.024493+1 2.431036+0 9.026205+1 2.570939+0 9.027917+1 2.728468+09443 3102 1834 9.029629+1 2.905002+0 9.031063+1 3.068401+0 9.032797+1 3.285827+09443 3102 1835 9.034530+1 3.525741+0 9.036264+1 3.788527+0 9.037997+1 4.074034+09443 3102 1836 9.039731+1 4.381448+0 9.042052+1 4.824508+0 9.044374+1 5.297710+09443 3102 1837 9.052111+1 6.953009+0 9.054897+1 7.502435+0 9.056986+1 7.868083+09443 3102 1838 9.059152+1 8.189870+0 9.060622+1 8.368367+0 9.062092+1 8.510563+09443 3102 1839 9.063562+1 8.613614+0 9.065110+1 8.677483+0 9.066657+1 8.694112+09443 3102 1840 9.068282+1 8.660210+0 9.069954+1 8.571221+0 9.071393+1 8.452177+09443 3102 1841 9.073312+1 8.236440+0 9.074859+1 8.019211+0 9.077181+1 7.631274+09443 3102 1842 9.078728+1 7.338529+0 9.081513+1 6.762082+0 9.088942+1 5.121473+09443 3102 1843 9.091263+1 4.633835+0 9.093584+1 4.176463+0 9.095132+1 3.891463+09443 3102 1844 9.096679+1 3.623772+0 9.098227+1 3.374024+0 9.099774+1 3.142439+09443 3102 1845 9.101322+1 2.928884+0 9.102869+1 2.732951+0 9.104417+1 2.554012+09443 3102 1846 9.105964+1 2.391299+0 9.107512+1 2.243948+0 9.109059+1 2.111063+09443 3102 1847 9.110607+1 1.991751+0 9.112154+1 1.885173+0 9.113702+1 1.790565+09443 3102 1848 9.115249+1 1.707271+0 9.116797+1 1.634758+0 9.118344+1 1.572634+09443 3102 1849 9.119892+1 1.520649+0 9.121439+1 1.478703+0 9.122987+1 1.446831+09443 3102 1850 9.124534+1 1.425198+0 9.126082+1 1.414069+0 9.126855+1 1.412547+09443 3102 1851 9.128403+1 1.417819+0 9.129563+1 1.429231+0 9.130724+1 1.447192+09443 3102 1852 9.131885+1 1.471815+0 9.133045+1 1.503167+0 9.134438+1 1.549683+09443 3102 1853 9.135676+1 1.599073+0 9.137347+1 1.677330+0 9.138925+1 1.762660+09443 3102 1854 9.140503+1 1.857846+0 9.142607+1 1.997128+0 9.148289+1 2.400492+09443 3102 1855 9.150241+1 2.529274+0 9.152193+1 2.642548+0 9.153494+1 2.706369+09443 3102 1856 9.154795+1 2.758913+0 9.156096+1 2.798756+0 9.157398+1 2.824760+09443 3102 1857 9.158829+1 2.836342+0 9.159154+1 2.836420+0 9.160586+1 2.825362+09443 3102 1858 9.162082+1 2.794065+0 9.163383+1 2.750919+0 9.164684+1 2.693770+09443 3102 1859 9.165986+1 2.623658+0 9.167287+1 2.542061+0 9.169239+1 2.401552+09443 3102 1860 9.171190+1 2.244659+0 9.175387+1 1.881161+0 9.178217+1 1.639180+09443 3102 1861 9.179925+1 1.501725+0 9.181633+1 1.373532+0 9.183340+1 1.256176+09443 3102 1862 9.184479+1 1.184461+0 9.185617+1 1.118152+0 9.186756+1 1.057297+09443 3102 1863 9.188138+1 9.906764-1 9.189358+1 9.383684-1 9.190578+1 8.919099-19443 3102 1864 9.191798+1 8.510334-1 9.193018+1 8.154420-1 9.194238+1 7.848234-19443 3102 1865 9.195458+1 7.588695-1 9.196677+1 7.372902-1 9.197897+1 7.198290-19443 3102 1866 9.199117+1 7.062746-1 9.200337+1 6.964741-1 9.201801+1 6.895546-19443 3102 1867 9.203021+1 6.878292-1 9.204241+1 6.898846-1 9.205721+1 6.977593-19443 3102 1868 9.206707+1 7.065576-1 9.207694+1 7.184713-1 9.208680+1 7.338021-19443 3102 1869 9.209666+1 7.529130-1 9.210653+1 7.762310-1 9.211639+1 8.042502-19443 3102 1870 9.212626+1 8.375337-1 9.213612+1 8.767151-1 9.214599+1 9.224972-19443 3102 1871 9.215338+1 9.616277-1 9.216078+1 1.005253+0 9.216818+1 1.053746+09443 3102 1872 9.217558+1 1.107491+0 9.218298+1 1.166893+0 9.219038+1 1.232370+09443 3102 1873 9.219777+1 1.304349+0 9.220505+1 1.381854+0 9.221225+1 1.465710+09443 3102 1874 9.221946+1 1.556963+0 9.222667+1 1.656014+0 9.223388+1 1.763247+09443 3102 1875 9.224109+1 1.879036+0 9.224830+1 2.003728+0 9.225550+1 2.137645+09443 3102 1876 9.226271+1 2.281072+0 9.227232+1 2.487518+0 9.228220+1 2.718242+09443 3102 1877 9.229235+1 2.975059+0 9.230250+1 3.252023+0 9.231264+1 3.548877+09443 3102 1878 9.232279+1 3.865028+0 9.233293+1 4.199521+0 9.234815+1 4.732604+09443 3102 1879 9.236364+1 5.307758+0 9.239034+1 6.350348+0 9.241811+1 7.446601+09443 3102 1880 9.243520+1 8.092484+0 9.245229+1 8.691398+0 9.246681+1 9.147792+09443 3102 1881 9.247963+1 9.500397+0 9.249245+1 9.797766+0 9.250526+1 1.003350+19443 3102 1882 9.251807+1 1.020231+1 9.253047+1 1.029827+1 9.254170+1 1.032627+19443 3102 1883 9.255290+1 1.029786+1 9.256421+1 1.021253+1 9.257703+1 1.004901+19443 3102 1884 9.258899+1 9.835638+0 9.260181+1 9.546561+0 9.261462+1 9.201571+09443 3102 1885 9.262915+1 8.751711+0 9.264624+1 8.158813+0 9.266695+1 7.375525+09443 3102 1886 9.271502+1 5.479038+0 9.273104+1 4.874079+0 9.274706+1 4.301925+09443 3102 1887 9.275774+1 3.942732+0 9.276842+1 3.603372+0 9.277910+1 3.285070+09443 3102 1888 9.278978+1 2.988611+0 9.280046+1 2.714353+0 9.280847+1 2.523239+09443 3102 1889 9.281648+1 2.344494+0 9.282449+1 2.177896+0 9.283250+1 2.023150+09443 3102 1890 9.283943+1 1.898524+0 9.284636+1 1.782228+0 9.285329+1 1.673959+09443 3102 1891 9.286023+1 1.573399+0 9.286716+1 1.480210+0 9.287409+1 1.394045+09443 3102 1892 9.288102+1 1.314546+0 9.288795+1 1.241354+0 9.289488+1 1.174105+09443 3102 1893 9.290181+1 1.112444+0 9.290874+1 1.056017+0 9.291568+1 1.004481+09443 3102 1894 9.292261+1 9.574986-1 9.292954+1 9.147481-1 9.293647+1 8.759182-19443 3102 1895 9.294340+1 8.407133-1 9.295233+1 8.002292-1 9.296127+1 7.647351-19443 3102 1896 9.297020+1 7.337082-1 9.297914+1 7.066702-1 9.298807+1 6.831844-19443 3102 1897 9.299700+1 6.628571-1 9.301040+1 6.375224-1 9.302380+1 6.174659-19443 3102 1898 9.303720+1 6.018225-1 9.305061+1 5.898828-1 9.306401+1 5.810743-19443 3102 1899 9.307741+1 5.749440-1 9.309190+1 5.709255-1 9.310859+1 5.692564-19443 3102 1900 9.312528+1 5.704445-1 9.314197+1 5.743197-1 9.315865+1 5.808504-19443 3102 1901 9.317534+1 5.901326-1 9.319203+1 6.023870-1 9.320872+1 6.179622-19443 3102 1902 9.322540+1 6.373440-1 9.324209+1 6.611695-1 9.325878+1 6.902447-19443 3102 1903 9.327311+1 7.201463-1 9.328625+1 7.522712-1 9.329940+1 7.895661-19443 3102 1904 9.331255+1 8.327882-1 9.332570+1 8.827827-1 9.333446+1 9.203326-19443 3102 1905 9.334323+1 9.616042-1 9.335199+1 1.006909+0 9.336076+1 1.056574+09443 3102 1906 9.336952+1 1.110936+0 9.337829+1 1.170341+0 9.338705+1 1.235140+09443 3102 1907 9.339582+1 1.305687+0 9.340458+1 1.382328+0 9.341469+1 1.478783+09443 3102 1908 9.342481+1 1.584304+0 9.343492+1 1.699352+0 9.344504+1 1.824332+09443 3102 1909 9.345515+1 1.959583+0 9.346526+1 2.105354+0 9.347538+1 2.261796+09443 3102 1910 9.348549+1 2.428939+0 9.349965+1 2.680639+0 9.351380+1 2.952284+09443 3102 1911 9.352864+1 3.256725+0 9.354482+1 3.609149+0 9.356640+1 4.104186+09443 3102 1912 9.360955+1 5.123711+0 9.363112+1 5.610574+0 9.364731+1 5.948528+09443 3102 1913 9.366349+1 6.252767+0 9.367967+1 6.514737+0 9.369585+1 6.726714+09443 3102 1914 9.370961+1 6.862601+0 9.372498+1 6.962336+0 9.373986+1 7.003872+09443 3102 1915 9.374358+1 7.005638+0 9.375626+1 6.985665+0 9.376813+1 6.930962+09443 3102 1916 9.378107+1 6.832742+0 9.379725+1 6.656500+0 9.381344+1 6.425970+09443 3102 1917 9.382962+1 6.148263+0 9.384580+1 5.831596+0 9.386198+1 5.484928+09443 3102 1918 9.388895+1 4.864890+0 9.392671+1 3.976365+0 9.394828+1 3.490552+09443 3102 1919 9.396447+1 3.146923+0 9.397660+1 2.903741+0 9.398955+1 2.659652+09443 3102 1920 9.400290+1 2.425473+0 9.401625+1 2.209677+0 9.402960+1 2.012407+09443 3102 1921 9.403850+1 1.891084+0 9.404740+1 1.777747+0 9.405933+1 1.637946+09443 3102 1922 9.407056+1 1.518648+0 9.408178+1 1.410563+0 9.409301+1 1.313016+09443 3102 1923 9.410423+1 1.225299+0 9.411546+1 1.146679+0 9.412668+1 1.076422+09443 3102 1924 9.413791+1 1.013801+0 9.414913+1 9.581140-1 9.416036+1 9.086901-19443 3102 1925 9.417158+1 8.648961-1 9.418327+1 8.246293-1 9.419496+1 7.892130-19443 3102 1926 9.420665+1 7.580852-1 9.421835+1 7.307389-1 9.423004+1 7.067190-19443 3102 1927 9.424757+1 6.760543-1 9.426511+1 6.508040-1 9.428265+1 6.300061-19443 3102 1928 9.430018+1 6.128804-1 9.432357+1 5.946909-1 9.434695+1 5.807755-19443 3102 1929 9.436964+1 5.705526-1 9.440266+1 5.603096-1 9.443567+1 5.544998-19443 3102 1930 9.446345+1 5.524659-1 9.448023+1 5.523590-1 9.451379+1 5.544645-19443 3102 1931 9.454736+1 5.594746-1 9.458092+1 5.672794-1 9.461393+1 5.776808-19443 3102 1932 9.464694+1 5.908757-1 9.467994+1 6.070415-1 9.471296+1 6.264439-19443 3102 1933 9.474597+1 6.494426-1 9.477898+1 6.765043-1 9.481199+1 7.082178-19443 3102 1934 9.484500+1 7.453081-1 9.487801+1 7.886532-1 9.490002+1 8.215309-19443 3102 1935 9.492203+1 8.579943-1 9.494403+1 8.984200-1 9.496604+1 9.432087-19443 3102 1936 9.498805+1 9.927764-1 9.501006+1 1.047542+0 9.503206+1 1.107907+09443 3102 1937 9.505407+1 1.174237+0 9.507607+1 1.246836+0 9.509808+1 1.325907+09443 3102 1938 9.512008+1 1.411520+0 9.514209+1 1.503564+0 9.517510+1 1.652891+09443 3102 1939 9.520811+1 1.813673+0 9.530495+1 2.310195+0 9.533466+1 2.452918+09443 3102 1940 9.536437+1 2.582258+0 9.538638+1 2.666760+0 9.540838+1 2.740100+09443 3102 1941 9.543038+1 2.801520+0 9.546010+1 2.865727+0 9.548915+1 2.910514+09443 3102 1942 9.554923+1 2.980870+0 9.557564+1 3.027819+0 9.559544+1 3.083517+09443 3102 1943 9.561304+1 3.155902+0 9.562405+1 3.215482+0 9.563505+1 3.288454+09443 3102 1944 9.564606+1 3.376925+0 9.565706+1 3.483107+0 9.566806+1 3.609287+09443 3102 1945 9.567907+1 3.757807+0 9.569007+1 3.931013+0 9.569887+1 4.088907+09443 3102 1946 9.570768+1 4.265233+0 9.571648+1 4.461091+0 9.572528+1 4.677499+09443 3102 1947 9.573628+1 4.978333+0 9.574729+1 5.314253+0 9.575829+1 5.686426+09443 3102 1948 9.576930+1 6.095560+0 9.578030+1 6.541853+0 9.579130+1 7.024882+09443 3102 1949 9.580231+1 7.543574+0 9.581331+1 8.096116+0 9.582762+1 8.860713+09443 3102 1950 9.584192+1 9.670399+0 9.586338+1 1.094699+1 9.590024+1 1.319379+19443 3102 1951 9.591729+1 1.419259+1 9.593160+1 1.497937+1 9.594790+1 1.579453+19443 3102 1952 9.596361+1 1.647563+1 9.597675+1 1.695062+1 9.598956+1 1.732001+19443 3102 1953 9.600205+1 1.758335+1 9.601617+1 1.775926+1 9.602754+1 1.780354+19443 3102 1954 9.603983+1 1.775258+1 9.605396+1 1.756845+1 9.606644+1 1.729740+19443 3102 1955 9.607925+1 1.691945+1 9.609239+1 1.643481+1 9.610553+1 1.586223+19443 3102 1956 9.612362+1 1.495252+1 9.614322+1 1.384388+1 9.616749+1 1.236266+19443 3102 1957 9.620525+1 1.000784+1 9.622593+1 8.778477+0 9.624211+1 7.876123+09443 3102 1958 9.625425+1 7.241839+0 9.626638+1 6.648087+0 9.627852+1 6.097347+09443 3102 1959 9.629065+1 5.591013+0 9.630279+1 5.129604+0 9.631088+1 4.846830+09443 3102 1960 9.631897+1 4.583606+0 9.632706+1 4.339515+0 9.633515+1 4.114038+09443 3102 1961 9.634324+1 3.906556+0 9.635179+1 3.706303+0 9.636078+1 3.515356+09443 3102 1962 9.636977+1 3.343668+0 9.637876+1 3.190078+0 9.638774+1 3.053402+09443 3102 1963 9.639673+1 2.932433+0 9.640572+1 2.825960+0 9.641471+1 2.732798+09443 3102 1964 9.642370+1 2.651788+0 9.643718+1 2.550618+0 9.645067+1 2.470681+09443 3102 1965 9.646280+1 2.414127+0 9.647808+1 2.360091+0 9.649337+1 2.321473+09443 3102 1966 9.650865+1 2.294717+0 9.653427+1 2.268171+0 9.658462+1 2.245392+09443 3102 1967 9.662237+1 2.226419+0 9.665474+1 2.197781+0 9.668171+1 2.162856+09443 3102 1968 9.671228+1 2.111353+0 9.674284+1 2.049308+0 9.685071+1 1.802000+09443 3102 1969 9.688667+1 1.731051+0 9.691364+1 1.687290+0 9.694061+1 1.653373+09443 3102 1970 9.696848+1 1.629897+0 9.698825+1 1.620898+0 9.700578+1 1.618497+09443 3102 1971 9.702870+1 1.623562+0 9.705163+1 1.638273+0 9.707725+1 1.666616+09443 3102 1972 9.710422+1 1.710686+0 9.712220+1 1.748575+0 9.714332+1 1.802187+09443 3102 1973 9.716757+1 1.876468+0 9.718707+1 1.946466+0 9.720920+1 2.037358+09443 3102 1974 9.723132+1 2.140745+0 9.725344+1 2.256691+0 9.727555+1 2.384980+09443 3102 1975 9.729767+1 2.525008+0 9.732716+1 2.728073+0 9.735665+1 2.946157+09443 3102 1976 9.744513+1 3.629341+0 9.748421+1 3.906953+0 9.751296+1 4.088013+09443 3102 1977 9.754246+1 4.248665+0 9.757342+1 4.388889+0 9.760144+1 4.493267+09443 3102 1978 9.768992+1 4.764072+0 9.771941+1 4.878171+0 9.774227+1 4.993444+09443 3102 1979 9.775960+1 5.102735+0 9.777803+1 5.245165+0 9.779461+1 5.401010+09443 3102 1980 9.780936+1 5.565252+0 9.782411+1 5.757146+0 9.783886+1 5.980272+09443 3102 1981 9.785360+1 6.238468+0 9.786835+1 6.535899+0 9.788309+1 6.877100+09443 3102 1982 9.789784+1 7.266948+0 9.791258+1 7.710733+0 9.792733+1 8.214082+09443 3102 1983 9.793839+1 8.634223+0 9.794945+1 9.093791+0 9.796051+1 9.595467+09443 3102 1984 9.797103+1 1.011413+1 9.798470+1 1.085226+1 9.799836+1 1.166777+19443 3102 1985 9.801203+1 1.256544+1 9.802483+1 1.348493+1 9.803677+1 1.441374+19443 3102 1986 9.804871+1 1.541346+1 9.806065+1 1.648556+1 9.807259+1 1.763094+19443 3102 1987 9.809051+1 1.948599+1 9.810842+1 2.150086+1 9.812633+1 2.366527+19443 3102 1988 9.814425+1 2.596239+1 9.816813+1 2.918905+1 9.822186+1 3.671889+19443 3102 1989 9.824575+1 3.993354+1 9.826844+1 4.274663+1 9.828456+1 4.453922+19443 3102 1990 9.830068+1 4.611619+1 9.831859+1 4.757218+1 9.833651+1 4.867651+19443 3102 1991 9.835287+1 4.934944+1 9.836720+1 4.966155+1 9.837711+1 4.972224+19443 3102 1992 9.839502+1 4.950832+1 9.840756+1 4.911387+1 9.842069+1 4.849140+19443 3102 1993 9.843741+1 4.740559+1 9.845264+1 4.615263+1 9.846786+1 4.467473+19443 3102 1994 9.848577+1 4.268828+1 9.850369+1 4.048480+1 9.852757+1 3.730541+19443 3102 1995 9.859325+1 2.811961+1 9.861713+1 2.493786+1 9.863505+1 2.268543+19443 3102 1996 9.865296+1 2.057168+1 9.867087+1 1.861038+1 9.868282+1 1.739147+19443 3102 1997 9.869476+1 1.624457+1 9.870670+1 1.516959+1 9.871864+1 1.416575+19443 3102 1998 9.873058+1 1.323120+1 9.874252+1 1.236370+1 9.875446+1 1.156060+19443 3102 1999 9.876640+1 1.081869+1 9.877835+1 1.013492+1 9.879029+1 9.505861+09443 3102 2000 9.880223+1 8.928025+0 9.881497+1 8.364252+0 9.882770+1 7.850601+09443 3102 2001 9.884044+1 7.383013+0 9.885318+1 6.957621+0 9.886591+1 6.570754+09443 3102 2002 9.888174+1 6.138505+0 9.889333+1 5.853029+0 9.891070+1 5.468446+09443 3102 2003 9.892808+1 5.130399+0 9.894545+1 4.833090+0 9.896283+1 4.571490+09443 3102 2004 9.898021+1 4.341260+0 9.899758+1 4.138702+0 9.901496+1 3.960662+09443 3102 2005 9.903233+1 3.804479+0 9.904971+1 3.667911+0 9.906593+1 3.556489+09443 3102 2006 9.908678+1 3.433911+0 9.910763+1 3.332574+0 9.912848+1 3.250748+09443 3102 2007 9.914991+1 3.185582+0 9.917192+1 3.137525+0 9.919393+1 3.107791+09443 3102 2008 9.921869+1 3.095603+0 9.923795+1 3.101449+0 9.925996+1 3.124465+09443 3102 2009 9.928197+1 3.164946+0 9.930398+1 3.223003+0 9.932656+1 3.300993+09443 3102 2010 9.934973+1 3.400418+0 9.937290+1 3.519427+0 9.939607+1 3.657641+09443 3102 2011 9.941923+1 3.814284+0 9.944240+1 3.988072+0 9.947715+1 4.276563+09443 3102 2012 9.952349+1 4.697591+0 9.956982+1 5.129756+0 9.960689+1 5.455243+09443 3102 2013 9.963470+1 5.671745+0 9.966018+1 5.839735+0 9.968335+1 5.960984+09443 3102 2014 9.970339+1 6.038075+0 9.972876+1 6.094963+0 9.974625+1 6.106196+09443 3102 2015 9.977139+1 6.081333+0 9.979224+1 6.024266+0 9.981540+1 5.923703+09443 3102 2016 9.983857+1 5.786867+0 9.986811+1 5.566247+0 9.989765+1 5.303586+09443 3102 2017 9.992892+1 4.992576+0 1.000332+2 3.882958+0 1.000679+2 3.537319+09443 3102 2018 1.000911+2 3.322491+0 1.001199+2 3.075661+0 1.001457+2 2.874439+09443 3102 2019 1.001715+2 2.692429+0 1.001973+2 2.529278+0 1.002231+2 2.384245+09443 3102 2020 1.002510+2 2.246772+0 1.002723+2 2.154082+0 1.002936+2 2.071435+09443 3102 2021 1.003149+2 1.998119+0 1.003362+2 1.933443+0 1.003682+2 1.851213+09443 3102 2022 1.004001+2 1.784946+0 1.004279+2 1.739052+0 1.004449+2 1.715664+09443 3102 2023 1.004790+2 1.679012+0 1.005131+2 1.654629+0 1.005472+2 1.641221+09443 3102 2024 1.005728+2 1.637681+0 1.006111+2 1.641819+0 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