JENDL-3.3 Eu153 pointwise at 0K 0 0 6.315300+4 1.516080+2 2 0 0 36331 1451 1 0.000000+0 0.000000+0 0 0 0 66331 1451 2 1.000000+0 2.000000+7 0 0 10 36331 1451 3 0.000000+0 0.000000+0 1 0 231 926331 1451 4 63-EU-153 JEARI,JNDC EVAL-MAR89 T.ASAMI, JNDC FP ND W.G. 6331 1451 5 DIST-MAR02 REV3-SEP01 20010907 6331 1451 6 ----JENDL-3.3 MATERIAL 6331 6331 1451 7 -----INCIDENT NEUTRON DATA 6331 1451 8 ------ENDF-6 FORMAT 6331 1451 9 6331 1451 10 HISTORY 6331 1451 11 84-10 Evaluation for JENDL-2 was made by JNDC FPND W.G./1/ 6331 1451 12 89-03 Evaluation for JENDL-3 was made by T.Asami(jaeri) and 6331 1451 13 JNDC FP NUCLEAR DATA W.G. 6331 1451 14 90-02 A resonance at 0.457 eV was removed. 6331 1451 15 This modification was made only for mat=6303. 6331 1451 16 94-01 JENDL-3.2 6331 1451 17 Modified by T.Nakagawa (ndc/jaeri) 6331 1451 18 6331 1451 19 ***** modified parts for JENDL-3.2 ******************** 6331 1451 20 (2,151) 0.457-eV resonance was deleted. 6331 1451 21 After this modification, the data are 6331 1451 22 the same as mat=6303 in JENDL3.1. 6331 1451 23 (3,1)* Beloe 2 eV, 83.95-100 keV, around 10 MeV. 6331 1451 24 (3,102) Q-value was corrected. 6331 1451 25 (3,107)* Below 2 eV and Q-value corrected. 6331 1451 26 *) Modification was made only to mat=3633 in JENDL-3.1 6331 1451 27 *********************************************************** 6331 1451 28 01-07 Compiled by K.Shibata for JENDL-3.3 6331 1451 29 ***** modified parts for JENDL-3.3 ***********************6331 1451 30 (1,451) Updated. 6331 1451 31 (3,251) Deleted. 6331 1451 32 (4,2) Transformation matrix deleted. 6331 1451 33 (5,16-91) INT=22 6331 1451 34 (12,16-107) Added. 6331 1451 35 (14,16-107) Added. 6331 1451 36 (15,16-107) Added. 6331 1451 37 ************************************************************6331 1451 38 6331 1451 39 6331 1451 40 mf = 1 General information 6331 1451 41 mt=451 Comments and dictionary 6331 1451 42 6331 1451 43 mf = 2 Resonance parameters 6331 1451 44 mt=151 Resolved and unresolved resonance parameters 6331 1451 45 Evaluation was made by Kikuchi /2/. Neutron widths were 6331 1451 46 obtained by averaging the data of Rahn et al./3/ and Anufriev 6331 1451 47 et al./4/. Radiative capture widths were adopted from the 6331 1451 48 data measured by Rahn et al. The parameters of 1.73-, 2.46-, 6331 1451 49 3.29- and 3.94-eV levels were taken from Mughabghab /5/ so as 6331 1451 50 to reproduce the capture resonance integral of 1420 +- 100 6331 1451 51 barns recommended in ref./5/. A negative resonance was added 6331 1451 52 at -0.5 eV so as to reproduce the capture cross section of 3906331 1451 53 +- 20 barns and the elastic scattering of 8.0 +- 0.2 barns at 6331 1451 54 0.0253 eV /6/. 6331 1451 55 Unresolved resonance region : 0.0972 keV - 100 keV 6331 1451 56 Initial values of neutron strength functions were the same as 6331 1451 57 JENDL-2 calculated with optical and statistiacl model code 6331 1451 58 casthy/7/. They were adjusted to the capture cross section 6331 1451 59 calculated with casthy for JENDL-2 which was in good agreement6331 1451 60 with experimental data by Macklin and Young/8/. The observed 6331 1451 61 level spacing was determined to reproduce the capture cross 6331 1451 62 section at 30 keV. The effective scattering radius was 6331 1451 63 obtained from fitting to the calculated total cross section at6331 1451 64 100 keV. 6331 1451 65 6331 1451 66 Typical values of the parameters at 70 keV: 6331 1451 67 S0 = 2.602e-4, S1 = 1.394e-4, S2 = 2.946e-4, Gg = 0.094 eV 6331 1451 68 Do = 1.489 eV, R = 6.421 fm. 6331 1451 69 6331 1451 70 calculated 2200-m/s cross sections and res. integrals (barns) 6331 1451 71 2200 m/s res. integ. 6331 1451 72 total 323.0 - 6331 1451 73 elastic 10.33 - 6331 1451 74 capture 312.7 1410 6331 1451 75 (n,alpha) 7.1e-07 6331 1451 76 6331 1451 77 mf = 3 Neutron cross sections 6331 1451 78 Below 100 keV, resonance parameters were given. 6331 1451 79 6331 1451 80 mt = 1 Total 6331 1451 81 Below 10 MeV, calculated with the casthy code/7/. The optical 6331 1451 82 potential parameters listed in Table 1 used. Above 10 MeV, 6331 1451 83 determined from the data of Foster and Glasgow/9/ for 6331 1451 84 natural Eu. 6331 1451 85 6331 1451 86 mt = 2 Elastic scattering 6331 1451 87 Calculated as (total - sum of partial cross sections). 6331 1451 88 6331 1451 89 mt = 4, 51 - 91 Inelastic scattering 6331 1451 90 Calculated with the casthy code/7/. The level scheme used in 6331 1451 91 the calculations was taken from ref./10/ 6331 1451 92 6331 1451 93 no level energy(MeV) spin-parity 6331 1451 94 g.s. 0.0 5/2+ 6331 1451 95 1 0.0834 7/2+ 6331 1451 96 2 0.0974 5/2- 6331 1451 97 3 0.1032 3/2+ 6331 1451 98 4 0.1516 7/2- 6331 1451 99 5 0.1729 5/2+ 6331 1451 100 6 0.1931 9/2+ 6331 1451 101 7 0.2353 9/2- 6331 1451 102 8 0.2697 7/2+ 6331 1451 103 9 0.3219 11/2- 6331 1451 104 10 0.3251 11/2+ 6331 1451 105 11 0.3964 9/2+ 6331 1451 106 Levels above 0.400 MeV were assumed to be overlapping. 6331 1451 107 6331 1451 108 mt = 102 Capture 6331 1451 109 Calculation for JENDL-2 with casthy/7/ was adopted. The 6331 1451 110 following potential parameters were determined by Iijima et 6331 1451 111 al. /11/ to reproduce a systematic trend of the total cross 6331 1451 112 section. 6331 1451 113 6331 1451 114 depth (MeV) radius(fm) diffuseness(fm) 6331 1451 115 ---------------------- ------------ --------------- 6331 1451 116 V = 49.61 r0 = 6.7926 a0 = 0.6 6331 1451 117 Ws = 10.595 rs = 7.6483 as = 0.45 6331 1451 118 Vso= 7.0 rso= 6.8461 aso= 0.6 6331 1451 119 6331 1451 120 Parameters for the composite level density formula of Gilbert-6331 1451 121 Cameron were evaluated as follows/12/. The coefficient of 6331 1451 122 spin cut-off parameter c1 was taken as 0.146. The energy 6331 1451 123 dependence of spin cut-off parameter in the energy range below6331 1451 124 E-joint is due to Gruppelaar /13/. 6331 1451 125 Eu-153 Eu-154 6331 1451 126 -------- -------- 6331 1451 127 pairing energy (MeV) 1.100 0.0 6331 1451 128 a (1/MeV) 27.860 22.670 6331 1451 129 spin cut-off param. 19.567 19.972 6331 1451 130 nuclear temp.(MeV) 0.455 0.432 6331 1451 131 c (1/MeV) 13.410 16.440 6331 1451 132 E-joint (MeV) 5.399 2.784 6331 1451 133 6331 1451 134 The gamma-ray strength function (= 809.e-4) was adjusted to 6331 1451 135 reproduce the experimental capture cross section of 680 milli-6331 1451 136 barns at 250 keV measured by Macklin and Young/8/. Direct 6331 1451 137 and semi-direct capture cross sections were estimated 6331 1451 138 according to the procedure of Benzi and Reffo/14/ and 6331 1451 139 normalized to 1 milli-barn at 14 MeV. 6331 1451 140 6331 1451 141 mt=16, 17, 22, 28, 103, 107 (n,2n), (n,3n), (n,na), (n,np), 6331 1451 142 (n,p) and (n,a) cross sections 6331 1451 143 Calculated with the gnash code/15/ using the optical model 6331 1451 144 parameters in Table 2, which were determined so as to 6331 1451 145 reproduce well the total cross section measured by Foster and 6331 1451 146 Glasgow/9/ for natural Eu. The level scheme data were taken 6331 1451 147 from ref./10/. The calculated (n,p) cross section was 6331 1451 148 normalized at 14.5 MeV to an average value of the experimental6331 1451 149 data around 14.5 MeV/16,17,18,19/. 6331 1451 150 6331 1451 151 The (n,alpha) cross section in the resonance region was 6331 1451 152 calculated from resonance parameters, by assuming a mean alpha6331 1451 153 width of 2.0e-10 eV so as to reproduce the thermal cross 6331 1451 154 section/5/. The cross section was averaged in suitable 6331 1451 155 energy intervals. Above 97.2 eV, the cross section was 6331 1451 156 connected smoothly to the gnash calculation. 6331 1451 157 6331 1451 158 mf = 4 Angular distributions of secondary neutrons 6331 1451 159 Legendre polynomial coefficients for angular distributions are 6331 1451 160 given in the center-of-mass system for mt=2 and discrete inelas-6331 1451 161 tic levels, and in the laboratory system for mt=91. They were 6331 1451 162 calculated with casthy/7/. For other reactions, isotropic 6331 1451 163 distributions in the laboratory system were assumed. 6331 1451 164 6331 1451 165 mf = 5 Energy distributions of secondary neutrons 6331 1451 166 Energy distributions of secondary neutrons were calculated with 6331 1451 167 gnash/15/. 6331 1451 168 6331 1451 169 mf = 12 Photon production multiplicities 6331 1451 170 mt=16, 17, 22, 28, 91, 103, 107 6331 1451 171 Calculated with gnash code /15/. 6331 1451 172 mt=102 6331 1451 173 Calculated with casthy code /7/. 6331 1451 174 mt=51-60 6331 1451 175 Transitioin probability arrays 6331 1451 176 6331 1451 177 mf = 14 Photon angular distributions 6331 1451 178 mt=16, 17, 22, 28, 51-61, 91, 102, 103, 107 6331 1451 179 Isotropic. 6331 1451 180 6331 1451 181 mf = 15 Continuous photon energy distributions 6331 1451 182 mt=16, 17, 22, 28, 91, 103, 107 6331 1451 183 Calculated with egnash code /15/. 6331 1451 184 mt=102 6331 1451 185 Calculated with casthy code /7/. 6331 1451 186 6331 1451 187 Table 1 Neutron optical potential parameters (for casthy) 6331 1451 188 6331 1451 189 V = 43.71 - 0.0566*En, Vso = 7.9 (MeV) 6331 1451 190 Ws = 7.696, Wv = 0.0 (MeV) 6331 1451 191 r = 1.270, rs = 1.440, rso = 1.280 (fm) 6331 1451 192 a = 0.60, b = 0.45, aso = 0.60 (fm) 6331 1451 193 6331 1451 194 Table 2 Neutron optical potential parameters (for gnash) 6331 1451 195 6331 1451 196 V = 43.71 - 0.05655*En, Vso = 0.0 (MeV) 6331 1451 197 Ws = 7.696, Wv = 0.0 (MeV) 6331 1451 198 r = 1.272, rs = 1.440, rso = 1.270 (fm) 6331 1451 199 a = 0.48, b = 0.45, aso = 0.48 (fm) 6331 1451 200 6331 1451 201 References 6331 1451 202 1) Aoki, T. et al.: Proc. Int. Conf. on Nuclear Data for Basic 6331 1451 203 and Applied Science, Santa Fe., Vol. 2, p.1627 (1985). 6331 1451 204 2) Kikuchi, Y. et al.: JAERI-M 86-030 (1986). 6331 1451 205 3) Rahn, F., et al.: Phys. Rev., c6, 251 (1972). 6331 1451 206 4) Anufriev, V.A., et al.: Sov. At. Energy, 46, 182 (1979). 6331 1451 207 5) Mughabghab, S.F.: "Neutron Cross Sections, Vol. I, Part B", 6331 1451 208 Academic Press (1984). 6331 1451 209 6) Mughabghab, S.F. and Garber, D.I.: "Neutron Cross Sections, 6331 1451 210 Vol.1, Resonance Parameters", BNL 325, 3rd ed., Vol. 1, 6331 1451 211 (1973). 6331 1451 212 7) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991). 6331 1451 213 8) Macklin, R.L. and Young, P.G.: Nucl. Sci. Eng., 95, 189(1987).6331 1451 214 9) Foster Jr.,D.G. and Glasgow, D.W.: Phys. Rev., C3, 576 (1971).6331 1451 215 10) ENSDF: Evaluated Nuclear Structure Data File (June 1987). 6331 1451 216 11) Iijima, S. and Kawai, M.: J. Nucl. Sci. Technol., 20, 77 6331 1451 217 (1983). 6331 1451 218 12) Iijima, S., et al.: J. Nucl. Sci. Technol. 21, 10 (1984). 6331 1451 219 13) Gruppelaar, H.: ECN-13 (1977). 6331 1451 220 14) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969). 6331 1451 221 15) Young, P.G. and Arthur, E.D.: LA-6947 (1977). 6331 1451 222 16) Coleman, R.F. et al.: Proc. Phys. Soc., 73, 215 (1959). 6331 1451 223 17) Qaim, S.M.: Data in the EXFOR file (1974). 6331 1451 224 18) Pruys, H.S. et al.: J. Inorg. Nucl. Chem., 37, 1587 (1975). 6331 1451 225 19) Bari, A.: J. Radioanal. Chem., 75, 189 (1982). 6331 1451 226 ***************** Program LINEAR (VERSION 2000-1) ***************6331 1451 227 For All Data Greater than 1.00000-10 barns in Absolute Value 6331 1451 228 Data Linearized to Within an Accuracy of 0.10000000 per-cent 6331 1451 229 ***************** Program RECENT (VERSION 2000-1) ***************6331 1451 230 for All Data Greater than 1.00000-10 barns in Absolute Value 6331 1451 231 Data Linearized to within an Accuracy of 0.10000000 per-cent 6331 1451 232 ***************** Program LINEAR (VERSION 2000-1) ***************6331 1451 233 For All Data Greater than 1.00000-10 barns in Absolute Value 6331 1451 234 Data Linearized to Within an Accuracy of 0.10000000 per-cent 6331 1451 235 1 451 327 36331 1451 236 2 151 430 26331 1451 237 3 1 3696 26331 1451 238 3 2 2173 16331 1451 239 3 4 33 16331 1451 240 3 16 8 16331 1451 241 3 17 6 16331 1451 242 3 22 6 16331 1451 243 3 28 8 16331 1451 244 3 51 55 16331 1451 245 3 52 54 16331 1451 246 3 53 54 16331 1451 247 3 54 54 16331 1451 248 3 55 51 16331 1451 249 3 56 53 16331 1451 250 3 57 51 16331 1451 251 3 58 51 16331 1451 252 3 59 51 16331 1451 253 3 60 50 16331 1451 254 3 61 48 16331 1451 255 3 91 31 16331 1451 256 3 102 4136 26331 1451 257 3 103 10 16331 1451 258 3 107 160 26331 1451 259 4 2 194 36331 1451 260 4 16 10 16331 1451 261 4 17 10 16331 1451 262 4 22 10 16331 1451 263 4 28 10 16331 1451 264 4 51 179 16331 1451 265 4 52 164 16331 1451 266 4 53 170 16331 1451 267 4 54 158 16331 1451 268 4 55 164 16331 1451 269 4 56 162 16331 1451 270 4 57 150 16331 1451 271 4 58 155 16331 1451 272 4 59 144 16331 1451 273 4 60 148 16331 1451 274 4 61 146 16331 1451 275 4 91 142 16331 1451 276 5 16 225 36331 1451 277 5 17 94 36331 1451 278 5 22 323 36331 1451 279 5 28 256 36331 1451 280 5 91 405 36331 1451 281 12 16 8 36331 1451 282 12 17 6 36331 1451 283 12 22 7 36331 1451 284 12 28 8 36331 1451 285 12 51 3 36331 1451 286 12 52 3 36331 1451 287 12 53 3 36331 1451 288 12 54 4 36331 1451 289 12 55 4 36331 1451 290 12 56 3 36331 1451 291 12 57 4 36331 1451 292 12 58 4 36331 1451 293 12 59 4 36331 1451 294 12 60 4 36331 1451 295 12 61 5 36331 1451 296 12 91 11 36331 1451 297 12 102 13 36331 1451 298 12 103 10 36331 1451 299 12 107 10 36331 1451 300 14 16 1 36331 1451 301 14 17 1 36331 1451 302 14 22 1 36331 1451 303 14 28 1 36331 1451 304 14 51 1 36331 1451 305 14 52 1 36331 1451 306 14 53 1 36331 1451 307 14 54 1 36331 1451 308 14 55 1 36331 1451 309 14 56 1 36331 1451 310 14 57 1 36331 1451 311 14 58 1 36331 1451 312 14 59 1 36331 1451 313 14 60 1 36331 1451 314 14 61 1 36331 1451 315 14 91 1 36331 1451 316 14 102 1 36331 1451 317 14 103 1 36331 1451 318 14 107 1 36331 1451 319 15 16 133 36331 1451 320 15 17 45 36331 1451 321 15 22 153 36331 1451 322 15 28 155 36331 1451 323 15 91 343 36331 1451 324 15 102 621 36331 1451 325 15 103 297 36331 1451 326 15 107 283 36331 1451 327 6331 1 099999 6331 0 0 0 6.315300+4 1.516070+2 0 0 1 06331 2151 1 6.315300+4 1.000000+0 0 0 2 06331 2151 2 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1900 87.1348300 5.052489+1 87.1389680 4.863019+1 87.1431060 4.686145+16331 3 2 1901 87.1472440 4.520755+1 87.1513820 4.365857+1 87.1555200 4.220560+16331 3 2 1902 87.1637960 3.955656+1 87.1720720 3.720559+1 87.1803480 3.510801+16331 3 2 1903 87.1886240 3.322712+1 87.1969000 3.153259+1 87.2051760 2.999916+16331 3 2 1904 87.2134520 2.860568+1 87.2217280 2.733435+1 87.2300040 2.617007+16331 3 2 1905 87.2382800 2.509999+1 87.2465560 2.411310+1 87.2548320 2.319994+16331 3 2 1906 87.2631080 2.235232+1 87.2713840 2.156315+1 87.2796600 2.082623+16331 3 2 1907 87.2935041 1.969582+1 87.3009616 1.913363+1 87.3120460 1.835080+16331 3 2 1908 87.3231304 1.762390+1 87.3342148 1.694592+1 87.3452992 1.631085+16331 3 2 1909 87.3563836 1.571349+1 87.3785524 1.461446+1 87.4007212 1.361934+16331 3 2 1910 87.4228900 1.270594+1 87.4450588 1.185816+1 87.4727698 1.087608+16331 3 2 1911 87.4949386 1.015092+1 87.5115652 9.649346+0 87.5281918 9.198105+06331 3 2 1912 87.5392762 8.937019+0 87.5503606 8.721211+0 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89.3473188 1.385706+1 89.3497584 1.408719+16331 3 2 1951 89.3521980 1.428747+1 89.3546376 1.445690+1 89.3570772 1.459541+16331 3 2 1952 89.3595168 1.470373+1 89.3643960 1.483594+1 89.3692752 1.486993+16331 3 2 1953 89.3741544 1.482562+1 89.3790336 1.472285+1 89.3887920 1.440897+16331 3 2 1954 89.4180672 1.328126+1 89.4351444 1.272006+1 89.4522216 1.225700+16331 3 2 1955 89.4717384 1.182761+1 89.4912552 1.147977+1 89.5156512 1.112842+16331 3 2 1956 89.5449264 1.079265+1 89.5742016 1.052101+1 89.6132352 1.022541+16331 3 2 1957 89.6620272 9.925429+0 89.7303360 9.583663+0 89.8279200 9.181770+06331 3 2 1958 89.9742960 8.664001+0 90.2248250 7.812176+0 90.3634712 7.288914+06331 3 2 1959 90.4811104 6.825590+0 90.5147216 6.722035+0 90.5399300 6.677907+06331 3 2 1960 90.5483328 6.674240+0 90.5651384 6.692316+0 90.5777426 6.736982+06331 3 2 1961 90.5903468 6.820474+0 90.5987496 6.905534+0 90.6071524 7.021685+06331 3 2 1962 90.6155552 7.177720+0 90.6197566 7.274200+0 90.6239580 7.385303+06331 3 2 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42.0341360 1.956650+2 42.0382740 2.083519+26331 3102 1765 42.0424120 2.222785+2 42.0465500 2.376013+2 42.0506880 2.545004+26331 3102 1766 42.0548260 2.731829+2 42.0589640 2.938875+2 42.0610330 3.050824+26331 3102 1767 42.0631020 3.168891+2 42.0651710 3.293484+2 42.0672400 3.425042+26331 3102 1768 42.0693090 3.564036+2 42.0713780 3.710969+2 42.0734470 3.866380+26331 3102 1769 42.0755160 4.030842+2 42.0775850 4.204970+2 42.0796540 4.389414+26331 3102 1770 42.0817230 4.584865+2 42.0837920 4.792054+2 42.0858610 5.011749+26331 3102 1771 42.0879300 5.244755+2 42.0899990 5.491907+2 42.0920680 5.754068+26331 3102 1772 42.0941370 6.032119+2 42.0962060 6.326944+2 42.0982750 6.639422+26331 3102 1773 42.1003440 6.970398+2 42.1024130 7.320661+2 42.1044820 7.690911+26331 3102 1774 42.1065510 8.081715+2 42.1086200 8.493456+2 42.1106890 8.926272+26331 3102 1775 42.1127580 9.379982+2 42.1168960 1.034725+3 42.1210340 1.138393+36331 3102 1776 42.1293100 1.355984+3 42.1334480 1.460773+3 42.1355170 1.509388+36331 3102 1777 42.1375860 1.554221+3 42.1396550 1.594293+3 42.1417240 1.628648+36331 3102 1778 42.1437930 1.656404+3 42.1458620 1.676807+3 42.1479310 1.689277+36331 3102 1779 42.1500000 1.693447+3 42.1520690 1.689194+3 42.1541380 1.676644+36331 3102 1780 42.1562070 1.656164+3 42.1582760 1.628334+3 42.1603450 1.593911+36331 3102 1781 42.1624140 1.553778+3 42.1644830 1.508890+3 42.1686210 1.408751+36331 3102 1782 42.1789660 1.137708+3 42.1831040 1.034037+3 42.1872420 9.373244+26331 3102 1783 42.1893110 8.919647+2 42.1913800 8.486969+2 42.1934490 8.075386+26331 3102 1784 42.1955180 7.684758+2 42.1975870 7.314699+2 42.1996560 6.964638+26331 3102 1785 42.2017250 6.633875+2 42.2037940 6.321618+2 42.2058630 6.027018+26331 3102 1786 42.2079320 5.749199+2 42.2100010 5.487273+2 42.2120700 5.240359+26331 3102 1787 42.2141390 5.007593+2 42.2162080 4.788138+2 42.2182770 4.581190+26331 3102 1788 42.2203460 4.385979+2 42.2224150 4.201776+2 42.2244840 4.027888+26331 3102 1789 42.2265530 3.863664+2 42.2286220 3.708491+2 42.2306910 3.561793+26331 3102 1790 42.2327600 3.423033+2 42.2348290 3.291706+2 42.2368980 3.167344+26331 3102 1791 42.2389670 3.049506+2 42.2410360 2.937783+2 42.2451740 2.731185+26331 3102 1792 42.2493120 2.544799+2 42.2534500 2.376241+2 42.2575880 2.223438+26331 3102 1793 42.2617260 2.084591+2 42.2658640 1.958134+2 42.2700020 1.842704+26331 3102 1794 42.2741400 1.737110+2 42.2782780 1.640309+2 42.2824160 1.551389+26331 3102 1795 42.2865540 1.469548+2 42.2906920 1.394080+2 42.2948300 1.324362+26331 3102 1796 42.2989680 1.259842+2 42.3031060 1.200032+2 42.3072440 1.144498+26331 3102 1797 42.3113820 1.092854+2 42.3155200 1.044756+2 42.3196580 9.998945+16331 3102 1798 42.3237960 9.579946+1 42.3279340 9.188083+1 42.3320720 8.821127+16331 3102 1799 42.3362100 8.477072+1 42.3403480 8.154106+1 42.3444860 7.850590+16331 3102 1800 42.3486240 7.565039+1 42.3527620 7.296107+1 42.3569000 7.042569+16331 3102 1801 42.3651760 6.577316+1 42.3734520 6.161484+1 42.3817280 5.788556+16331 3102 1802 42.3900040 5.453051+1 42.3982800 5.150337+1 42.4065560 4.876480+16331 3102 1803 42.4148320 4.628122+1 42.4231080 4.402384+1 42.4313840 4.196789+16331 3102 1804 42.4396600 4.009197+1 42.4479360 3.837750+1 42.4562120 3.680833+16331 3102 1805 42.4644880 3.537036+1 42.4727640 3.405124+1 42.4810400 3.284013+16331 3102 1806 42.4893160 3.172749+1 42.4975920 3.070491+1 42.5058680 2.976495+16331 3102 1807 42.5141440 2.890103+1 42.5224200 2.810732+1 42.5306960 2.737863+16331 3102 1808 42.5389720 2.671036+1 42.5472480 2.609844+1 42.5638000 2.502953+16331 3102 1809 42.5803520 2.414752+1 42.5954956 2.348800+1 42.6106393 2.295762+16331 3102 1810 42.6286996 2.248201+1 42.6467600 2.216738+1 42.6566300 2.206107+16331 3102 1811 42.6665000 2.200036+1 42.6763700 2.198508+1 42.6862400 2.201538+16331 3102 1812 42.7010450 2.214742+1 42.7158500 2.238631+1 42.7257200 2.260733+16331 3102 1813 42.7355900 2.288003+1 42.7454600 2.320685+1 42.7553300 2.359074+16331 3102 1814 42.7652000 2.403517+1 42.7750700 2.454424+1 42.7849400 2.512270+16331 3102 1815 42.7948100 2.577611+1 42.8046800 2.651092+1 42.8145500 2.733460+16331 3102 1816 42.8244200 2.825579+1 42.8342900 2.928454+1 42.8441600 3.043253+16331 3102 1817 42.8540300 3.171336+1 42.8639000 3.314289+1 42.8737700 3.473972+16331 3102 1818 42.8836400 3.652570+1 42.8935100 3.852663+1 42.9033800 4.077309+16331 3102 1819 42.9132500 4.330152+1 42.9231200 4.615556+1 42.9280550 4.772069+16331 3102 1820 42.9329900 4.938775+1 42.9379250 5.116504+1 42.9428600 5.306177+16331 3102 1821 42.9477950 5.508811+1 42.9527300 5.725531+1 42.9576650 5.957589+16331 3102 1822 42.9626000 6.206375+1 42.9675350 6.473439+1 42.9724700 6.760511+16331 3102 1823 42.9774050 7.069528+1 42.9823400 7.402657+1 42.9872750 7.762338+16331 3102 1824 42.9922100 8.151314+1 42.9971450 8.572680+1 43.0020800 9.029939+16331 3102 1825 43.0070150 9.527057+1 43.0119500 1.006854+2 43.0168850 1.065952+26331 3102 1826 43.0218200 1.130585+2 43.0267550 1.201422+2 43.0316900 1.279228+26331 3102 1827 43.0366250 1.364885+2 43.0415600 1.459403+2 43.0464950 1.563945+26331 3102 1828 43.0514300 1.679851+2 43.0563650 1.808668+2 43.0588325 1.878462+26331 3102 1829 43.0613000 1.952171+2 43.0637675 2.030058+2 43.0662350 2.112407+26331 3102 1830 43.0687025 2.199519+2 43.0711700 2.291717+2 43.0736375 2.389346+26331 3102 1831 43.0761050 2.492772+2 43.0785725 2.602382+2 43.0810400 2.718588+26331 3102 1832 43.0835075 2.841820+2 43.0859750 2.972530+2 43.0884425 3.111188+26331 3102 1833 43.0909100 3.258280+2 43.0933775 3.414298+2 43.0958450 3.579740+26331 3102 1834 43.0983125 3.755100+2 43.1007800 3.940852+2 43.1032475 4.137440+26331 3102 1835 43.1057150 4.345257+2 43.1081825 4.564620+2 43.1106500 4.795746+26331 3102 1836 43.1131175 5.038711+2 43.1155850 5.293414+2 43.1205200 5.836438+26331 3102 1837 43.1254550 6.418462+2 43.1377925 7.939648+2 43.1427275 8.501345+26331 3102 1838 43.1451950 8.753024+2 43.1476625 8.977953+2 43.1501300 9.170764+26331 3102 1839 43.1525975 9.326508+2 43.1550650 9.440941+2 43.1575325 9.510805+26331 3102 1840 43.1600000 9.534047+2 43.1624675 9.509969+2 43.1649350 9.439277+26331 3102 1841 43.1674025 9.324033+2 43.1698700 9.167505+2 43.1723375 8.973939+26331 3102 1842 43.1748050 8.748292+2 43.1772725 8.495935+2 43.1822075 7.933008+26331 3102 1843 43.1945450 6.409447+2 43.1994800 5.826702+2 43.2044150 5.283052+26331 3102 1844 43.2068825 5.028064+2 43.2093500 4.784829+2 43.2118175 4.553448+26331 3102 1845 43.2142850 4.333839+2 43.2167525 4.125787+2 43.2192200 3.928971+26331 3102 1846 43.2216875 3.742997+2 43.2241550 3.567421+2 43.2266225 3.401765+26331 3102 1847 43.2290900 3.245537+2 43.2315575 3.098239+2 43.2340250 2.959374+26331 3102 1848 43.2364925 2.828458+2 43.2389600 2.705022+2 43.2414275 2.588611+26331 3102 1849 43.2438950 2.478795+2 43.2463625 2.375164+2 43.2488300 2.277328+26331 3102 1850 43.2512975 2.184921+2 43.2537650 2.097599+2 43.2562325 2.015039+26331 3102 1851 43.2587000 1.936939+2 43.2611675 1.863015+2 43.2636350 1.793003+26331 3102 1852 43.2685700 1.663747+2 43.2735050 1.547391+2 43.2784400 1.442392+26331 3102 1853 43.2833750 1.347408+2 43.2883100 1.261275+2 43.2932450 1.182983+26331 3102 1854 43.2981800 1.111652+2 43.3031150 1.046516+2 43.3080500 9.869055+16331 3102 1855 43.3129850 9.322350+1 43.3179200 8.819919+1 43.3228550 8.357254+16331 3102 1856 43.3277900 7.930388+1 43.3327250 7.535820+1 43.3376600 7.170452+16331 3102 1857 43.3425950 6.831540+1 43.3475300 6.516646+1 43.3524650 6.223599+16331 3102 1858 43.3574000 5.950462+1 43.3623350 5.695505+1 43.3672700 5.457175+16331 3102 1859 43.3722050 5.234081+1 43.3771400 5.024971+1 43.3820750 4.828715+16331 3102 1860 43.3870100 4.644296+1 43.3919450 4.470791+1 43.3968800 4.307367+16331 3102 1861 43.4018150 4.153265+1 43.4067500 4.007797+1 43.4166200 3.740310+16331 3102 1862 43.4264900 3.500521+1 43.4363600 3.284760+1 43.4462300 3.089941+16331 3102 1863 43.4561000 2.913456+1 43.4659700 2.753085+1 43.4758400 2.606935+16331 3102 1864 43.4857100 2.473380+1 43.4955800 2.351019+1 43.5054500 2.238641+16331 3102 1865 43.5153200 2.135193+1 43.5251900 2.039757+1 43.5350600 1.951531+16331 3102 1866 43.5449300 1.869810+1 43.5548000 1.793973+1 43.5646700 1.723472+16331 3102 1867 43.5745400 1.657822+1 43.5844100 1.596591+1 43.5942800 1.539395+16331 3102 1868 43.6041500 1.485890+1 43.6140200 1.435770+1 43.6238900 1.388760+16331 3102 1869 43.6337600 1.344610+1 43.6535000 1.264023+1 43.6732400 1.192469+16331 3102 1870 43.6929800 1.128683+1 43.7127200 1.071616+1 43.7324600 1.020399+16331 3102 1871 43.7522000 9.742997+0 43.7768750 9.229466+0 43.8015500 8.776395+06331 3102 1872 43.8262250 8.375629+0 43.8509000 8.020466+0 43.8755750 7.705373+06331 3102 1873 43.9002500 7.425765+0 43.9249250 7.177840+0 43.9496000 6.958444+06331 3102 1874 43.9738247 6.768282+0 43.9980493 6.601075+0 44.0218087 6.457785+06331 3102 1875 44.0455680 6.333747+0 44.0697690 6.226208+0 44.0939700 6.136925+06331 3102 1876 44.1181710 6.065446+0 44.1423720 6.011594+0 44.1665730 5.975478+06331 3102 1877 44.2028745 5.955548+0 44.2391760 5.979393+0 44.2585368 6.011637+06331 3102 1878 44.2778976 6.058777+0 44.2972584 6.122145+0 44.3166192 6.203396+06331 3102 1879 44.3359800 6.304578+0 44.3553408 6.428220+0 44.3747016 6.577455+06331 3102 1880 44.3940624 6.756174+0 44.4134232 6.969238+0 44.4327840 7.222763+06331 3102 1881 44.4521448 7.524498+0 44.4618252 7.696443+0 44.4715056 7.884368+06331 3102 1882 44.4811860 8.089976+0 44.4908664 8.315213+0 44.5005468 8.562315+06331 3102 1883 44.5102272 8.833857+0 44.5199076 9.132818+0 44.5295880 9.462656+06331 3102 1884 44.5392684 9.827402+0 44.5489488 1.023178+1 44.5586292 1.068135+16331 3102 1885 44.5683096 1.118267+1 44.5779900 1.174358+1 44.5876704 1.237340+16331 3102 1886 44.5973508 1.308339+1 44.6070312 1.388715+1 44.6118714 1.432924+16331 3102 1887 44.6167116 1.480126+1 44.6215518 1.530589+1 44.6263920 1.584608+16331 3102 1888 44.6312322 1.642515+1 44.6360724 1.704679+1 44.6409126 1.771511+16331 3102 1889 44.6457528 1.843475+1 44.6505930 1.921090+1 44.6554332 2.004940+16331 3102 1890 44.6602734 2.095685+1 44.6651136 2.194072+1 44.6699538 2.300945+16331 3102 1891 44.6747940 2.417264+1 44.6796342 2.544123+1 44.6844744 2.682766+16331 3102 1892 44.6893146 2.834621+1 44.6941548 3.001318+1 44.6989950 3.184730+16331 3102 1893 44.7038352 3.387012+1 44.7086754 3.610640+1 44.7135156 3.858470+16331 3102 1894 44.7183558 4.133790+1 44.7231960 4.440386+1 44.7256161 4.606750+16331 3102 1895 44.7280362 4.782613+1 44.7304563 4.968620+1 44.7328764 5.165459+16331 3102 1896 44.7352965 5.373861+1 44.7377166 5.594607+1 44.7401367 5.828524+16331 3102 1897 44.7425568 6.076483+1 44.7449769 6.339406+1 44.7473970 6.618253+16331 3102 1898 44.7498171 6.914025+1 44.7522372 7.227754+1 44.7546573 7.560491+16331 3102 1899 44.7570774 7.913298+1 44.7594975 8.287223+1 44.7619176 8.683277+16331 3102 1900 44.7643377 9.102405+1 44.7667578 9.545444+1 44.7691779 1.001307+26331 3102 1901 44.7715980 1.050575+2 44.7740181 1.102363+2 44.7764382 1.156651+26331 3102 1902 44.7812784 1.272387+2 44.7861186 1.396428+2 44.7982191 1.720621+26331 3102 1903 44.8030593 1.840343+2 44.8054794 1.893994+2 44.8078995 1.941951+26331 3102 1904 44.8103196 1.983069+2 44.8127397 2.016296+2 44.8151598 2.040727+26331 3102 1905 44.8175799 2.055669+2 44.8200000 2.060685+2 44.8224201 2.055626+26331 3102 1906 44.8248402 2.040641+2 44.8272603 2.016171+2 44.8296804 1.982910+26331 3102 1907 44.8321005 1.941763+2 44.8345206 1.893785+2 44.8369407 1.840120+26331 3102 1908 44.8393608 1.781940+2 44.8442010 1.656565+2 44.8538814 1.396329+26331 3102 1909 44.8587216 1.272384+2 44.8635618 1.156764+2 44.8659819 1.102539+26331 3102 1910 44.8684020 1.050818+2 44.8708221 1.001620+2 44.8732422 9.549296+16331 3102 1911 44.8756623 9.107001+1 44.8780824 8.688635+1 44.8805025 8.293359+16331 3102 1912 44.8829226 7.920226+1 44.8853427 7.568221+1 44.8877628 7.236295+16331 3102 1913 44.8901829 6.923386+1 44.8926030 6.628439+1 44.8950231 6.350423+16331 3102 1914 44.8974432 6.088336+1 44.8998633 5.841216+1 44.9022834 5.608142+16331 3102 1915 44.9047035 5.388240+1 44.9071236 5.180685+1 44.9095437 4.984695+16331 3102 1916 44.9119638 4.799537+1 44.9143839 4.624525+1 44.9168040 4.459013+16331 3102 1917 44.9216442 4.154123+1 44.9264844 3.880513+1 44.9313246 3.634396+16331 3102 1918 44.9361648 3.412482+1 44.9410050 3.211920+1 44.9458452 3.030231+16331 3102 1919 44.9506854 2.865263+1 44.9555256 2.715144+1 44.9603658 2.578243+16331 3102 1920 44.9652060 2.453135+1 44.9700462 2.338576+1 44.9748864 2.233474+16331 3102 1921 44.9797266 2.136870+1 44.9845668 2.047920+1 44.9894070 1.965879+16331 3102 1922 44.9942472 1.890089+1 44.9990874 1.819966+1 45.0039276 1.754992+16331 3102 1923 45.0087678 1.694705+1 45.0136080 1.638695+1 45.0184482 1.586592+16331 3102 1924 45.0232884 1.538069+1 45.0281286 1.492830+1 45.0329688 1.450608+16331 3102 1925 45.0426492 1.374285+1 45.0523296 1.307452+1 45.0620100 1.248758+16331 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45.5095604 1.596288+1 45.5195761 1.681056+16331 3102 1939 45.5295918 1.775675+1 45.5396075 1.881624+1 45.5496232 2.000673+16331 3102 1940 45.5596389 2.134951+1 45.5646468 2.208588+1 45.5696546 2.287041+16331 3102 1941 45.5746625 2.370722+1 45.5796703 2.460087+1 45.5846782 2.555643+16331 3102 1942 45.5896860 2.657952+1 45.5946939 2.767643+1 45.5997017 2.885415+16331 3102 1943 45.6047096 3.012051+1 45.6097174 3.148431+1 45.6147253 3.295540+16331 3102 1944 45.6197331 3.454488+1 45.6247410 3.626528+1 45.6297488 3.813077+16331 3102 1945 45.6347567 4.015741+1 45.6397645 4.236341+1 45.6447724 4.476954+16331 3102 1946 45.6497802 4.739947+1 45.6547881 5.028027+1 45.6597959 5.344295+16331 3102 1947 45.6648038 5.692307+1 45.6698116 6.076155+1 45.6748195 6.500544+16331 3102 1948 45.6798273 6.970899+1 45.6848352 7.493465+1 45.6873391 7.776534+16331 3102 1949 45.6898430 8.075436+1 45.6923469 8.391238+1 45.6948509 8.725083+16331 3102 1950 45.6973548 9.078195+1 45.6998587 9.451881+1 45.7023626 9.847532+16331 3102 1951 45.7048666 1.026663+2 45.7086224 1.094270+2 45.7123783 1.168074+26331 3102 1952 45.7148823 1.221020+2 45.7173862 1.277181+2 45.7198901 1.336753+26331 3102 1953 45.7223940 1.399935+2 45.7248980 1.466930+2 45.7274019 1.537936+26331 3102 1954 45.7299058 1.613146+2 45.7324097 1.692739+2 45.7349137 1.776874+26331 3102 1955 45.7374176 1.865680+2 45.7399215 1.959243+2 45.7424254 2.057596+26331 3102 1956 45.7449294 2.160696+2 45.7499372 2.380497+2 45.7549451 2.616074+26331 3102 1957 45.7674647 3.231772+2 45.7724725 3.459134+2 45.7749765 3.561018+26331 3102 1958 45.7774804 3.652082+2 45.7799843 3.730155+2 45.7824882 3.793235+26331 3102 1959 45.7849922 3.839605+2 45.7874961 3.867948+2 45.7900000 3.877432+26331 3102 1960 45.7925039 3.867776+2 45.7950079 3.839264+2 45.7975118 3.792731+26331 3102 1961 45.8000157 3.729498+2 45.8025196 3.651283+2 45.8050236 3.560090+26331 3102 1962 45.8075275 3.458093+2 45.8125353 3.230549+2 45.8250550 2.614659+26331 3102 1963 45.8300628 2.379092+2 45.8350707 2.159338+2 45.8375746 2.056272+26331 3102 1964 45.8400785 1.957959+2 45.8425824 1.864441+2 45.8450864 1.775686+26331 3102 1965 45.8475903 1.691605+2 45.8500942 1.612069+2 45.8525981 1.536918+26331 3102 1966 45.8551021 1.465974+2 45.8576060 1.399043+2 45.8601099 1.335925+26331 3102 1967 45.8626138 1.276419+2 45.8651178 1.220325+2 45.8676217 1.167447+26331 3102 1968 45.8701256 1.117594+2 45.8726295 1.070583+2 45.8751335 1.026240+26331 3102 1969 45.8776374 9.843981+1 45.8801413 9.449011+1 45.8826452 9.076005+16331 3102 1970 45.8851492 8.723569+1 45.8876531 8.390397+1 45.8901570 8.075265+16331 3102 1971 45.8926609 7.777030+1 45.8951649 7.494621+1 45.9001727 6.973363+16331 3102 1972 45.9051806 6.504298+1 45.9101884 6.081175+1 45.9151963 5.698575+16331 3102 1973 45.9202041 5.351788+1 45.9252120 5.036726+1 45.9302198 4.749831+16331 3102 1974 45.9352277 4.488004+1 45.9402355 4.248537+1 45.9452434 4.029064+16331 3102 1975 45.9502512 3.827510+1 45.9552591 3.642053+1 45.9602669 3.471088+16331 3102 1976 45.9652748 3.313199+1 45.9702826 3.167133+1 45.9752905 3.031781+16331 3102 1977 45.9802983 2.906157+1 45.9853062 2.789382+1 45.9903140 2.680675+16331 3102 1978 45.9953219 2.579334+1 46.0003297 2.484733+1 46.0053376 2.396309+16331 3102 1979 46.0103454 2.313555+1 46.0153533 2.236016+1 46.0203611 2.163280+16331 3102 1980 46.0303768 2.030761+1 46.0403925 1.913419+1 46.0504082 1.809122+16331 3102 1981 46.0604239 1.716099+1 46.0704396 1.632869+1 46.0804553 1.558188+16331 3102 1982 46.0904710 1.491002+1 46.1004867 1.430419+1 46.1105024 1.375675+16331 3102 1983 46.1205181 1.326118+1 46.1305338 1.281185+1 46.1405495 1.240389+16331 3102 1984 46.1505652 1.203309+1 46.1605809 1.169579+1 46.1705966 1.138879+16331 3102 1985 46.1806123 1.110929+1 46.1906280 1.085483+1 46.2106594 1.041262+16331 3102 1986 46.2306908 1.004776+1 46.2507222 9.748937+0 46.2707536 9.507283+06331 3102 1987 46.2907850 9.315795+0 46.3108164 9.168961+0 46.3308478 9.062470+06331 3102 1988 46.3508792 8.992996+0 46.3809263 8.952918+0 46.3909420 8.955806+06331 3102 1989 46.4159813 8.997315+0 46.4410205 9.087143+0 46.4623690 9.202060+06331 3102 1990 46.4829320 9.346969+0 46.5070500 9.561697+0 46.5311680 9.828093+06331 3102 1991 46.5504624 1.008163+1 46.5697568 1.037457+1 46.5890512 1.071096+16331 3102 1992 46.6083456 1.109578+1 46.6276400 1.153516+1 46.6469344 1.203664+16331 3102 1993 46.6662288 1.260952+1 46.6855232 1.326527+1 46.7048176 1.401820+16331 3102 1994 46.7144648 1.443653+1 46.7241120 1.488621+1 46.7337592 1.537022+16331 3102 1995 46.7434064 1.589195+1 46.7530536 1.645522+1 46.7627008 1.706436+16331 3102 1996 46.7723480 1.772432+1 46.7819952 1.844076+1 46.7916424 1.922018+16331 3102 1997 46.8012896 2.007003+1 46.8109368 2.099895+1 46.8205840 2.201697+16331 3102 1998 46.8302312 2.313574+1 46.8398784 2.436895+1 46.8495256 2.573266+16331 3102 1999 46.8591728 2.724588+1 46.8688200 2.893120+1 46.8784672 3.081563+16331 3102 2000 46.8881144 3.293163+1 46.8929380 3.408844+1 46.8977616 3.531851+16331 3102 2001 46.9025852 3.662810+1 46.9074088 3.802416+1 46.9122324 3.951438+16331 3102 2002 46.9170560 4.110733+1 46.9218796 4.281255+1 46.9267032 4.464069+16331 3102 2003 46.9315268 4.660366+1 46.9363504 4.871479+1 46.9411740 5.098909+16331 3102 2004 46.9459976 5.344342+1 46.9508212 5.609681+1 46.9556448 5.897079+16331 3102 2005 46.9604684 6.208974+1 46.9652920 6.548136+1 46.9701156 6.917716+16331 3102 2006 46.9749392 7.321311+1 46.9797628 7.763031+1 46.9845864 8.247585+16331 3102 2007 46.9894100 8.780376+1 46.9942336 9.367614+1 46.9990572 1.001645+26331 3102 2008 47.0038808 1.073511+2 47.0087044 1.153309+2 47.0111162 1.196517+26331 3102 2009 47.0135280 1.242130+2 47.0159398 1.290310+2 47.0183516 1.341230+26331 3102 2010 47.0207634 1.395078+2 47.0231752 1.452049+2 47.0255870 1.512357+26331 3102 2011 47.0279988 1.576226+2 47.0304106 1.643894+2 47.0328224 1.715613+26331 3102 2012 47.0352342 1.791648+2 47.0376460 1.872278+2 47.0400578 1.957789+26331 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