JENDL-3.3 Eu151 pointwise at 0K 0 0 6.315100+4 1.496230+2 2 0 0 26325 1451 1 0.000000+0 0.000000+0 0 0 0 66325 1451 2 1.000000+0 2.000000+7 0 0 10 36325 1451 3 0.000000+0 0.000000+0 1 0 198 886325 1451 4 63-EU-151 JAERI,JNDC EVAL-MAR89 T.ASAMI, JNDC FP ND W.G. 6325 1451 5 DIST-MAR02 REV2-SEP01 20010907 6325 1451 6 ----JENDL-3.3 MATERIAL 6325 6325 1451 7 -----INCIDENT NEUTRON DATA 6325 1451 8 ------ENDF-6 FORMAT 6325 1451 9 6325 1451 10 HISTORY 6325 1451 11 84-10 Evaluation for JENDL-2 was made by JNDC FPND W.G./1/ 6325 1451 12 89-03 Evaluation for JENDL-3 was made by T.Asami(jaeri) and JNDC 6325 1451 13 FP NUCLEAR DATA W.G. 6325 1451 14 6325 1451 15 ------------------------------------------------------------------6325 1451 16 Data are the same as mat=3631 of JENDL-3 general purpose file/2/. 6325 1451 17 ------------------------------------------------------------------6325 1451 18 01-07 Compiled by K.Shibata for JENDL-3.3 6325 1451 19 ***** modified parts for JENDL-3.3 ***********************6325 1451 20 (1,451) Updated. 6325 1451 21 (3,251) Deleted. 6325 1451 22 (4,2) Transformation matrix deleted. 6325 1451 23 (5,16-91) INT=22 6325 1451 24 (12,16-107) Added. 6325 1451 25 (14,16-107) Added. 6325 1451 26 (15,16-107) Added. 6325 1451 27 ************************************************************6325 1451 28 6325 1451 29 mf = 1 General information 6325 1451 30 mt=451 Comments and dictionary 6325 1451 31 6325 1451 32 mf = 2 Resonance parameters 6325 1451 33 mt=151 Resolved and unresolved resonance parameters 6325 1451 34 Resolved resonance region (MLBW formula) : Below 0.0982 keV 6325 1451 35 For JENDL-2, resonance parameters were evaluated by Kikuchi6325 1451 36 et al./3/ The parameters were adopted mainly from the data 6325 1451 37 measured by Rahn et al./4/ for the lowest 2 levels, the data 6325 1451 38 of Tassan et al./5/ were adopted. The average radiation width6325 1451 39 of 0.093 eV/4/ was assumed for the levels whose radiation 6325 1451 40 width was not measured. A negative resonance was added at 6325 1451 41 -0.00361 eV so as to reproduce the capture cross section of 6325 1451 42 9200+-100 barns at 0.0253 eV/6/. 6325 1451 43 For JENDL-3, total spin J of some levels was estimated 6325 1451 44 with a random number method. 6325 1451 45 6325 1451 46 Unresolved resonance region : 0.0982 keV - 100 keV 6325 1451 47 The neutron strength functions S0, S1, S2 were based on the 6325 1451 48 compilation of Mughabghab/7/. The observed level spacing was 6325 1451 49 adjusted to reproduce the capture cross section measured by 6325 1451 50 Macklin and Young/8/. The effective scattering radius was 6325 1451 51 obtained from fitting to the calculated total cross section at6325 1451 52 100 keV. 6325 1451 53 6325 1451 54 Typical values of the parameters at 70 keV: 6325 1451 55 S0 = 3.699e-4, S1 = 0.100e-4, S2 = 3.000e-4, Sg = 2230.e-4, 6325 1451 56 Gg = 0.091 eV, R = 6.870 fm. 6325 1451 57 6325 1451 58 calculated 2200-m/s cross sections and res. integrals (barns) 6325 1451 59 2200 m/s res. integ. 6325 1451 60 total 9201 - 6325 1451 61 elastic 3.207 - 6325 1451 62 capture 9198 3070 6325 1451 63 (n,alpha) 8.806e-06 6325 1451 64 6325 1451 65 mf = 3 Neutron cross sections 6325 1451 66 Below 100 keV, resonance parameters were given. 6325 1451 67 Above 100 keV, theoretical calculation was made by using the 6325 1451 68 optical and statistical model code casthy/9/ and the preequili- 6325 1451 69 brium and statistical model code gnash/10/. The omp's for 6325 1451 70 neutron are given in tables 1 and 2, which were determined so as6325 1451 71 to reproduce the total cross section of natural Eu measured by 6325 1451 72 Foster and glasgow/11/. Those for charged particles are adopted6325 1451 73 from Menet et al./12/ for proton and from Huizenga and Igo/13/ 6325 1451 74 for alpha particle. 6325 1451 75 6325 1451 76 mt = 1 Total 6325 1451 77 Below 10 MeV, calculation with casthy was adopted. The 6325 1451 78 optical potential parameters listed in Table 1 were used. 6325 1451 79 Above 10 mev, the cross section was determined by eye-guiding 6325 1451 80 to the data of Foster and Glasgow/11/ for natural Eu. 6325 1451 81 6325 1451 82 mt = 2 Elastic scattering 6325 1451 83 Calculated as (total - sum of partial cross sections). 6325 1451 84 6325 1451 85 mt = 4, 51-60, 91 Inelastic scattering 6325 1451 86 Calculated with the casthy code. The level scheme used in the6325 1451 87 calculations was taken from ref./14/ 6325 1451 88 6325 1451 89 no level energy(MeV) spin-parity 6325 1451 90 g.s 0.0 5/2+ 6325 1451 91 1 0.02150 7/2+ 6325 1451 92 2 0.19620 11/2- 6325 1451 93 3 0.19650 3/2+ 6325 1451 94 4 0.2432 7/2- 6325 1451 95 5 0.2604 5/2+ 6325 1451 96 6 0.3070 7/2+ 6325 1451 97 7 0.3075 5/2+ 6325 1451 98 8 0.3498 9/2- 6325 1451 99 9 0.3536 7/2- 6325 1451 100 10 0.4160 7/2+ 6325 1451 101 Levels above 0.420 MeV were assumed to be overlapping. 6325 1451 102 6325 1451 103 mt = 102 Capture 6325 1451 104 Below 2 MeV, cross section was determined by eye-guiding the 6325 1451 105 data measured by Macklin and Young/8/. Above 2 MeV, JENDL-2 6325 1451 106 data calculated with casthy was normalized to Macklin and 6325 1451 107 Young at 2 MeV. Direct and semi-direct capture cross sections6325 1451 108 were added, which were estimated according to the procedure of6325 1451 109 Benzi and Reffo/15/ and normalized to 1 milli-barn at 14 MeV. 6325 1451 110 6325 1451 111 6325 1451 112 mt=16, 17, 22, 28, 103, 107 (n,2n), (n,3n), (n,na), (n,np), 6325 1451 113 (n,p) and (n,a) cross sections 6325 1451 114 Calculated with the gnash code using the optical model 6325 1451 115 parameters in Table 2. The level scheme data were taken from 6325 1451 116 ref./14/. the calculated (n,2n) and (n,3n) cross sections 6325 1451 117 were modified on the basis of the experimental data of Frehaut6325 1451 118 et al./16/ and Bayhurt/17/, respectively. 6325 1451 119 6325 1451 120 The (n,alpha) cross section in the resonance region was 6325 1451 121 calculated from resonance parameters, by assuming a mean alpha6325 1451 122 width of 9.0e-11 ev so as to reproduce the thermal cross 6325 1451 123 section/7/. The cross section was averaged in suitable energy6325 1451 124 intervals. Above 98.2 eV, the cross section was connected 6325 1451 125 smoothly to the gnash calculation. 6325 1451 126 6325 1451 127 mf = 4 Angular distributions of secondary neutrons 6325 1451 128 Legendre polynomial coefficients for angular distributions are 6325 1451 129 given in the center-of-mass system for mt=2 and discrete inelas-6325 1451 130 tic levels, and in the laboratory system for mt=91. They were 6325 1451 131 calculated with casthy. For other reactions, the isotropic 6325 1451 132 distributions in the laboratory system were assumed. 6325 1451 133 6325 1451 134 mf = 5 Energy distributions of secondary neutrons 6325 1451 135 Energy distributions of secondary neutrons were calculated with 6325 1451 136 gnash. 6325 1451 137 6325 1451 138 mf = 12 Photon production multiplicities 6325 1451 139 mt=16, 17, 22, 28, 91, 103, 107 6325 1451 140 Calculated with gnash code /10/. 6325 1451 141 mt=102 6325 1451 142 Calculated with casthy code /9/. 6325 1451 143 mt=51-60 6325 1451 144 Transitioin probability arrays 6325 1451 145 6325 1451 146 mf = 14 Photon angular distributions 6325 1451 147 mt=16, 17, 22, 28, 51-60, 91, 102, 103, 107 6325 1451 148 Isotropic. 6325 1451 149 6325 1451 150 mf = 15 Continuous photon energy distributions 6325 1451 151 mt=16, 17, 22, 28, 91, 103, 107 6325 1451 152 Calculated with egnash code /10/. 6325 1451 153 mt=102 6325 1451 154 Calculated with casthy code /9/. 6325 1451 155 6325 1451 156 6325 1451 157 Table 1 Neutron optical potential parameters (for casthy) 6325 1451 158 6325 1451 159 V = 43.71 - 0.0566*En, Vso = 7.9 (MeV) 6325 1451 160 Ws = 7.696, Wv = 0.0 (MeV) 6325 1451 161 r = 1.270, rs = 1.440, rso = 1.280 (fm) 6325 1451 162 a = 0.60, b = 0.45, aso = 0.60 (fm) 6325 1451 163 6325 1451 164 Table 2 Neutron optical potential parameters (for gnash) 6325 1451 165 6325 1451 166 V = 43.71 - 0.05655*En, Vso = 0.0 (MeV) 6325 1451 167 Ws = 7.696, Wv = 0.0 (MeV) 6325 1451 168 r = 1.272, rs = 1.440, rso = 1.270 (fm) 6325 1451 169 a = 0.48, b = 0.45, aso = 0.48 (fm) 6325 1451 170 6325 1451 171 References 6325 1451 172 1) Aoki, T. et al.: Proc. Int. Conf. on Nuclear Data for Basic 6325 1451 173 and Applied Science, Santa Fe., Vol. 2, p.1627 (1985). 6325 1451 174 2) Shibata, K., et al.: JAERI 1319 (1990). 6325 1451 175 3) Kikuchi, Y. et al.: JAERI-M 86-030 (1986). 6325 1451 176 4) Rahn, F., et al.: Phys. Rev., C6, 251 (1972). 6325 1451 177 5) Tassan, S., et al.: Nucl. Sci., Eng., 10, 169 (1961). 6325 1451 178 6) Mughabghab, S.F., Garber, D.I.: "Neutron Cross Sections, 6325 1451 179 Vol.1, Rresonance Parameters", BNL 325, 3rd ed., Vol. 1, 6325 1451 180 (1973). 6325 1451 181 7) Mughabghab, S.F.: "Neutron Cross Sections, Vol. I, Part B", 6325 1451 182 Academic Press (1984). 6325 1451 183 8) Macklin, R.L. and Young, P.G.: Nucl. Sci. Eng., 95, 189(1987).6325 1451 184 9) Igarasi, S.: J. Nucl. Sci. Technol., 12, 67 (1975). 6325 1451 185 10) Young, P.G. and Arthur, E.D.: LA-6947 (1977). 6325 1451 186 11) Foster Jr,.D.G. and Glasgow, D.W.: Phys. Rev., C3, 576 (1971).6325 1451 187 12) Menet, J.J.H., et al.: Phys. Rev., C4, 1114 (1971). 6325 1451 188 13) Huizenga, J.R. and Igo, G.: Nucl. Phys. 29, 462 (1962). 6325 1451 189 14) ENSDF: Evaluated Nuclear Structure Data File (June 1987). 6325 1451 190 15) Benzi, V. and Reffo, G.: CCDN-NW/10 (1969). 6325 1451 191 16) Frehaut, J. et al.: Data (1980) in the EXFOR file. 6325 1451 192 17) Bayhurst, B.P. et al.: Phys. Rev., C12, 451 (1975). 6325 1451 193 ***************** Program LINEAR (VERSION 2000-1) ***************6325 1451 194 For All Data Greater than 1.00000-10 barns in Absolute Value 6325 1451 195 Data Linearized to Within an Accuracy of 0.10000000 per-cent 6325 1451 196 ***************** Program RECENT (VERSION 2000-1) ***************6325 1451 197 for All Data Greater than 1.00000-10 barns in Absolute Value 6325 1451 198 Data Linearized to within an Accuracy of 0.10000000 per-cent 6325 1451 199 ***************** Program LINEAR (VERSION 2000-1) ***************6325 1451 200 For All Data Greater than 1.00000-10 barns in Absolute Value 6325 1451 201 Data Linearized to Within an Accuracy of 0.10000000 per-cent 6325 1451 202 1 451 290 26325 1451 203 2 151 510 16325 1451 204 3 1 4597 16325 1451 205 3 2 3031 16325 1451 206 3 4 40 16325 1451 207 3 16 8 16325 1451 208 3 17 6 16325 1451 209 3 22 7 16325 1451 210 3 28 9 16325 1451 211 3 51 60 16325 1451 212 3 52 54 16325 1451 213 3 53 50 16325 1451 214 3 54 51 16325 1451 215 3 55 51 16325 1451 216 3 56 50 16325 1451 217 3 57 50 16325 1451 218 3 58 49 16325 1451 219 3 59 50 16325 1451 220 3 60 48 16325 1451 221 3 91 34 16325 1451 222 3 102 4880 16325 1451 223 3 103 10 16325 1451 224 3 107 141 16325 1451 225 4 2 193 26325 1451 226 4 16 10 16325 1451 227 4 17 10 16325 1451 228 4 22 10 16325 1451 229 4 28 10 16325 1451 230 4 51 181 16325 1451 231 4 52 159 16325 1451 232 4 53 165 16325 1451 233 4 54 153 16325 1451 234 4 55 158 16325 1451 235 4 56 153 16325 1451 236 4 57 151 16325 1451 237 4 58 143 16325 1451 238 4 59 141 16325 1451 239 4 60 142 16325 1451 240 4 91 140 16325 1451 241 5 16 234 26325 1451 242 5 17 112 26325 1451 243 5 22 371 26325 1451 244 5 28 295 26325 1451 245 5 91 394 26325 1451 246 12 16 8 26325 1451 247 12 17 6 26325 1451 248 12 22 9 26325 1451 249 12 28 9 26325 1451 250 12 51 3 26325 1451 251 12 52 3 26325 1451 252 12 53 3 26325 1451 253 12 54 3 26325 1451 254 12 55 3 26325 1451 255 12 56 3 26325 1451 256 12 57 3 26325 1451 257 12 58 4 26325 1451 258 12 59 3 26325 1451 259 12 60 4 26325 1451 260 12 91 11 26325 1451 261 12 102 13 26325 1451 262 12 103 10 26325 1451 263 12 107 12 26325 1451 264 14 16 1 26325 1451 265 14 17 1 26325 1451 266 14 22 1 26325 1451 267 14 28 1 26325 1451 268 14 51 1 26325 1451 269 14 52 1 26325 1451 270 14 53 1 26325 1451 271 14 54 1 26325 1451 272 14 55 1 26325 1451 273 14 56 1 26325 1451 274 14 57 1 26325 1451 275 14 58 1 26325 1451 276 14 59 1 26325 1451 277 14 60 1 26325 1451 278 14 91 1 26325 1451 279 14 102 1 26325 1451 280 14 103 1 26325 1451 281 14 107 1 26325 1451 282 15 16 142 26325 1451 283 15 17 47 26325 1451 284 15 22 185 26325 1451 285 15 28 172 26325 1451 286 15 91 337 26325 1451 287 15 102 617 26325 1451 288 15 103 317 26325 1451 289 15 107 342 26325 1451 290 6325 1 099999 6325 0 0 0 6.315100+4 1.496240+2 0 0 1 06325 2151 1 6.315100+4 1.000000+0 0 0 2 06325 2151 2 1.000000-5 9.820000+1 1 2 0 06325 2151 3 2.500000+0 8.290000-1 0 0 1 06325 2151 4 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35.0639115 1.208578+3 35.0662300 1.174733+36325 3 1 1849 35.0708672 1.098865+3 35.0824601 8.921272+2 35.0870972 8.127011+26325 3 1 1850 35.0917344 7.384660+2 35.0940529 7.036047+2 35.0963715 6.703255+26325 3 1 1851 35.0986901 6.386458+2 35.1010087 6.085581+2 35.1033272 5.800357+26325 3 1 1852 35.1056458 5.530376+2 35.1079644 5.275121+2 35.1102830 5.034004+26325 3 1 1853 35.1126015 4.806392+2 35.1149201 4.591624+2 35.1172387 4.389032+26325 3 1 1854 35.1195573 4.197951+2 35.1218758 4.017725+2 35.1241944 3.847720+26325 3 1 1855 35.1265130 3.687324+2 35.1288316 3.535952+2 35.1311501 3.393048+26325 3 1 1856 35.1334687 3.258083+2 35.1357873 3.130560+2 35.1381059 3.010011+26325 3 1 1857 35.1404244 2.895996+2 35.1427430 2.788103+2 35.1450616 2.685946+26325 3 1 1858 35.1473802 2.589165+2 35.1520173 2.410406+2 35.1566545 2.249398+26325 3 1 1859 35.1612916 2.104028+2 35.1659288 1.972462+2 35.1705659 1.853104+26325 3 1 1860 35.1752031 1.744570+2 35.1798402 1.645652+2 35.1844774 1.555298+26325 3 1 1861 35.1891145 1.472590+2 35.1937517 1.396722+2 35.1983888 1.326989+26325 3 1 1862 35.2030260 1.262770+2 35.2076631 1.203520+2 35.2123003 1.148756+26325 3 1 1863 35.2169374 1.098050+2 35.2215746 1.051025+2 35.2262117 1.007344+26325 3 1 1864 35.2308489 9.667070+1 35.2354860 9.288469+1 35.2401232 8.935244+16325 3 1 1865 35.2447603 8.605251+1 35.2493975 8.296565+1 35.2540346 8.007453+16325 3 1 1866 35.2586718 7.736354+1 35.2633089 7.481858+1 35.2725832 7.017693+16325 3 1 1867 35.2818575 6.606114+1 35.2911318 6.239812+1 35.3004061 5.912708+16325 3 1 1868 35.3096804 5.619720+1 35.3189547 5.356573+1 35.3282290 5.119654+16325 3 1 1869 35.3375033 4.905894+1 35.3467776 4.712674+1 35.3560519 4.537753+16325 3 1 1870 35.3653262 4.379202+1 35.3746005 4.235357+1 35.3838748 4.104780+16325 3 1 1871 35.3931491 3.986220+1 35.4024234 3.878591+1 35.4116977 3.780944+16325 3 1 1872 35.4209720 3.692455+1 35.4302463 3.612398+1 35.4395206 3.540144+16325 3 1 1873 35.4580692 3.416902+1 35.4766178 3.319104+1 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36.6033440 4.995785+16325 3 1 1937 36.6202880 5.106698+1 36.6372320 5.256177+1 36.6457040 5.346782+16325 3 1 1938 36.6541760 5.448892+1 36.6626480 5.563338+1 36.6711200 5.691071+16325 3 1 1939 36.6795920 5.833182+1 36.6923000 6.076096+1 36.7050080 6.359242+16325 3 1 1940 36.7134800 6.573354+1 36.7219520 6.810240+1 36.7304240 7.072412+16325 3 1 1941 36.7388960 7.362775+1 36.7473680 7.684702+1 36.7558400 8.042121+16325 3 1 1942 36.7643120 8.439624+1 36.7727840 8.882603+1 36.7812560 9.377415+16325 3 1 1943 36.7897280 9.931592+1 36.7982000 1.055410+2 36.8066720 1.125569+26325 3 1 1944 36.8109080 1.164008+2 36.8151440 1.204929+2 36.8193800 1.248537+26325 3 1 1945 36.8236160 1.295059+2 36.8278520 1.344744+2 36.8320880 1.397871+26325 3 1 1946 36.8363240 1.454747+2 36.8405600 1.515716+2 36.8447960 1.581159+26325 3 1 1947 36.8490320 1.651504+2 36.8532680 1.727227+2 36.8575040 1.808865+26325 3 1 1948 36.8617400 1.897019+2 36.8659760 1.992367+2 36.8702120 2.095673+26325 3 1 1949 36.8744480 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33.0422400 6.428902+06325 3102 1787 33.0609504 6.583971+0 33.0796608 6.761757+0 33.0983712 6.966076+06325 3102 1788 33.1170816 7.201661+0 33.1357920 7.474430+0 33.1545024 7.791849+06325 3102 1789 33.1732128 8.163448+0 33.1825680 8.373276+0 33.1919232 8.601530+06325 3102 1790 33.2012784 8.850345+0 33.2106336 9.122184+0 33.2199888 9.419891+06325 3102 1791 33.2293440 9.746766+0 33.2386992 1.010666+1 33.2480544 1.050407+16325 3102 1792 33.2574096 1.094430+1 33.2667648 1.143362+1 33.2761200 1.197948+16325 3102 1793 33.2854752 1.259079+1 33.2948304 1.327825+1 33.3041856 1.405484+16325 3102 1794 33.3135408 1.493637+1 33.3182184 1.542238+1 33.3228960 1.594222+16325 3102 1795 33.3275736 1.649906+1 33.3322512 1.709639+1 33.3369288 1.773816+16325 3102 1796 33.3416064 1.842877+1 33.3462840 1.917316+1 33.3509616 1.997692+16325 3102 1797 33.3556392 2.084632+1 33.3603168 2.178848+1 33.3649944 2.281143+16325 3102 1798 33.3696720 2.392434+1 33.3743496 2.513761+1 33.3790272 2.646311+16325 3102 1799 33.3837048 2.791442+1 33.3883824 2.950710+1 33.3930600 3.125898+16325 3102 1800 33.3977376 3.319058+1 33.4024152 3.532551+1 33.4070928 3.769095+16325 3102 1801 33.4117704 4.031824+1 33.4164480 4.324346+1 33.4187868 4.483052+16325 3102 1802 33.4211256 4.650807+1 33.4234644 4.828225+1 33.4258032 5.015960+16325 3102 1803 33.4281420 5.214711+1 33.4304808 5.425220+1 33.4328196 5.648275+16325 3102 1804 33.4351584 5.884706+1 33.4374972 6.135391+1 33.4398360 6.401245+16325 3102 1805 33.4421748 6.683222+1 33.4445136 6.982302+1 33.4468524 7.299491+16325 3102 1806 33.4491912 7.635796+1 33.4515300 7.992216+1 33.4538688 8.369717+16325 3102 1807 33.4562076 8.769195+1 33.4585464 9.191450+1 33.4608852 9.637124+16325 3102 1808 33.4632240 1.010666+2 33.4655628 1.060020+2 33.4679016 1.111756+26325 3102 1809 33.4725792 1.222044+2 33.4772568 1.340243+2 33.4889508 1.649143+26325 3102 1810 33.4936284 1.763211+2 33.4959672 1.814327+2 33.4983060 1.860017+26325 3102 1811 33.5006448 1.899191+2 33.5029836 1.930845+2 33.5053224 1.954120+26325 3102 1812 33.5076612 1.968354+2 33.5100000 1.973131+2 33.5123388 1.968309+26325 3102 1813 33.5146776 1.954032+2 33.5170164 1.930718+2 33.5193552 1.899030+26325 3102 1814 33.5216940 1.859830+2 33.5240328 1.814122+2 33.5263716 1.762998+26325 3102 1815 33.5287104 1.707573+2 33.5333880 1.588137+2 33.5427432 1.340238+26325 3102 1816 33.5474208 1.222174+2 33.5520984 1.112042+2 33.5544372 1.060392+26325 3102 1817 33.5567760 1.011128+2 33.5591148 9.642674+1 33.5614536 9.197960+16325 3102 1818 33.5637924 8.776691+1 33.5661312 8.378219+1 33.5684700 8.001744+16325 3102 1819 33.5708088 7.646363+1 33.5731476 7.311110+1 33.5754864 6.994984+16325 3102 1820 33.5778252 6.696974+1 33.5801640 6.416075+1 33.5825028 6.151304+16325 3102 1821 33.5848416 5.901705+1 33.5871804 5.666363+1 33.5895192 5.444400+16325 3102 1822 33.5918580 5.234984+1 33.5941968 5.037327+1 33.5965356 4.850686+16325 3102 1823 33.5988744 4.674362+1 33.6012132 4.507700+1 33.6035520 4.350086+16325 3102 1824 33.6082296 4.059747+1 33.6129072 3.799195+1 33.6175848 3.564822+16325 3102 1825 33.6222624 3.353496+1 33.6269400 3.162496+1 33.6316176 2.989464+16325 3102 1826 33.6362952 2.832347+1 33.6409728 2.689362+1 33.6456504 2.558956+16325 3102 1827 33.6503280 2.439770+1 33.6550056 2.330618+1 33.6596832 2.230460+16325 3102 1828 33.6643608 2.138382+1 33.6690384 2.053580+1 33.6737160 1.975344+16325 3102 1829 33.6783936 1.903045+1 33.6830712 1.836128+1 33.6877488 1.774098+16325 3102 1830 33.6924264 1.716516+1 33.6971040 1.662989+1 33.7017816 1.613165+16325 3102 1831 33.7064592 1.566732+1 33.7158144 1.482935+1 33.7251696 1.409662+16325 3102 1832 33.7345248 1.345339+1 33.7438800 1.288673+1 33.7532352 1.238597+16325 3102 1833 33.7625904 1.194226+1 33.7719456 1.154818+1 33.7813008 1.119751+16325 3102 1834 33.7906560 1.088501+1 33.8000112 1.060621+1 33.8093664 1.035731+16325 3102 1835 33.8187216 1.013506+1 33.8280768 9.936664+0 33.8467872 9.602132+06325 3102 1836 33.8654976 9.338052+0 33.8842080 9.132591+0 33.9029184 8.976729+06325 3102 1837 33.9216288 8.863563+0 33.9403392 8.787802+0 33.9590496 8.745411+06325 3102 1838 33.9777600 8.733359+0 33.9964704 8.749430+0 34.0151808 8.792093+06325 3102 1839 34.0407148 8.891622+0 34.0661800 9.037769+0 34.0848400 9.175075+06325 3102 1840 34.1035000 9.338975+0 34.1221600 9.530984+0 34.1408200 9.753218+06325 3102 1841 34.1594800 1.000850+1 34.1781400 1.030047+1 34.1968000 1.063384+16325 3102 1842 34.2154600 1.101460+1 34.2341200 1.145042+1 34.2527800 1.195120+16325 3102 1843 34.2714400 1.252983+1 34.2807700 1.285344+1 34.2901000 1.320327+16325 3102 1844 34.2994300 1.358234+1 34.3087600 1.399420+1 34.3180900 1.444297+16325 3102 1845 34.3274200 1.493351+1 34.3367500 1.547159+1 34.3460800 1.606406+16325 3102 1846 34.3554100 1.671915+1 34.3647400 1.744675+1 34.3740700 1.825892+16325 3102 1847 34.3834000 1.917036+1 34.3927300 2.019924+1 34.4020600 2.136811+16325 3102 1848 34.4067250 2.201361+1 34.4113900 2.270525+1 34.4160550 2.344775+16325 3102 1849 34.4207200 2.424645+1 34.4253850 2.510736+1 34.4300500 2.603734+16325 3102 1850 34.4347150 2.704418+1 34.4393800 2.813676+1 34.4440450 2.932520+16325 3102 1851 34.4487100 3.062113+1 34.4533750 3.203785+1 34.4580400 3.359066+16325 3102 1852 34.4627050 3.529714+1 34.4673700 3.717754+1 34.4720350 3.925521+16325 3102 1853 34.4767000 4.155697+1 34.4813650 4.411369+1 34.4860300 4.696070+16325 3102 1854 34.4906950 5.013828+1 34.4953600 5.369191+1 34.4976925 5.562541+16325 3102 1855 34.5000250 5.767234+1 34.5023575 5.983978+1 34.5046900 6.213504+16325 3102 1856 34.5070225 6.456556+1 34.5093550 6.713886+1 34.5116875 6.986234+16325 3102 1857 34.5140200 7.274319+1 34.5163525 7.578808+1 34.5186850 7.900294+16325 3102 1858 34.5210175 8.239258+1 34.5233500 8.596025+1 34.5280150 9.363171+16325 3102 1859 34.5326800 1.019900+2 34.5373450 1.109398+2 34.5466750 1.297207+26325 3102 1860 34.5513400 1.387805+2 34.5536725 1.429931+2 34.5560050 1.468875+26325 3102 1861 34.5583375 1.503810+2 34.5606700 1.533929+2 34.5630025 1.558487+26325 3102 1862 34.5653350 1.576846+2 34.5676675 1.588518+2 34.5700000 1.593193+26325 3102 1863 34.5723325 1.590766+2 34.5746650 1.581345+2 34.5769975 1.565239+26325 3102 1864 34.5793300 1.542941+2 34.5816625 1.515090+2 34.5839950 1.482432+26325 3102 1865 34.5863275 1.445775+2 34.5886600 1.405947+2 34.5933250 1.319983+26325 3102 1866 34.6026550 1.141600+2 34.6073200 1.056898+2 34.6119850 9.781690+16325 3102 1867 34.6166500 9.063675+1 34.6189825 8.731703+1 34.6213150 8.417692+16325 3102 1868 34.6236475 8.121320+1 34.6259800 7.842112+1 34.6283125 7.579479+16325 3102 1869 34.6306450 7.332759+1 34.6329775 7.101241+1 34.6353100 6.884189+16325 3102 1870 34.6399750 6.490513+1 34.6446400 6.145902+1 34.6493050 5.844869+16325 3102 1871 34.6539700 5.582406+1 34.6586350 5.354033+1 34.6633000 5.155797+16325 3102 1872 34.6679650 4.984243+1 34.6726300 4.836367+1 34.6772950 4.709573+16325 3102 1873 34.6819600 4.601619+1 34.6866250 4.510577+1 34.6912900 4.434789+16325 3102 1874 34.6959550 4.372836+1 34.7006200 4.323498+1 34.7052850 4.285737+16325 3102 1875 34.7099500 4.258667+1 34.7146150 4.241536+1 34.7216125 4.233116+16325 3102 1876 34.7286100 4.243938+1 34.7379400 4.286141+1 34.7472700 4.358288+16325 3102 1877 34.7566000 4.459323+1 34.7659300 4.589033+1 34.7752600 4.747969+16325 3102 1878 34.7845900 4.937416+1 34.7939200 5.159398+1 34.8023193 5.389367+16325 3102 1879 34.8107185 5.650615+1 34.8190677 5.944553+1 34.8274168 6.276604+16325 3102 1880 34.8320540 6.479219+1 34.8366911 6.696010+1 34.8413283 6.928039+16325 3102 1881 34.8459654 7.176484+1 34.8506026 7.442660+1 34.8552397 7.728026+16325 3102 1882 34.8598769 8.034214+1 34.8645140 8.363041+1 34.8714697 8.903239+16325 3102 1883 34.8784255 9.506916+1 34.8830626 9.949205+1 34.8876998 1.042707+26325 3102 1884 34.8923369 1.094413+2 34.8969741 1.150449+2 34.9016112 1.211278+26325 3102 1885 34.9062484 1.277426+2 34.9108855 1.349490+2 34.9155227 1.428151+26325 3102 1886 34.9201598 1.514185+2 34.9247970 1.608479+2 34.9294341 1.712051+26325 3102 1887 34.9340713 1.826069+2 34.9387084 1.951875+2 34.9433456 2.091014+26325 3102 1888 34.9479827 2.245266+2 34.9526199 2.416682+2 34.9549384 2.509552+26325 3102 1889 34.9572570 2.607624+2 34.9595756 2.711251+2 34.9618942 2.820808+26325 3102 1890 34.9642127 2.936697+2 34.9665313 3.059345+2 34.9688499 3.189211+26325 3102 1891 34.9711685 3.326781+2 34.9734870 3.472571+2 34.9758056 3.627124+26325 3102 1892 34.9781242 3.791015+2 34.9804428 3.964844+2 34.9827613 4.149235+26325 3102 1893 34.9850799 4.344830+2 34.9873985 4.552287+2 34.9897171 4.772268+26325 3102 1894 34.9920356 5.005425+2 34.9943542 5.252391+2 34.9966728 5.513754+26325 3102 1895 34.9989914 5.790035+2 35.0013099 6.081658+2 35.0036285 6.388909+26325 3102 1896 35.0059471 6.711890+2 35.0082657 7.050465+2 35.0129028 7.772277+26325 3102 1897 35.0175400 8.545899+2 35.0268143 1.016964+3 35.0314514 1.095160+36325 3102 1898 35.0337700 1.131436+3 35.0360886 1.164890+3 35.0384071 1.194789+36325 3102 1899 35.0407257 1.220422+3 35.0430443 1.241129+3 35.0453629 1.256348+36325 3102 1900 35.0476814 1.265646+3 35.0500000 1.268750+3 35.0523186 1.265568+36325 3102 1901 35.0546372 1.256193+3 35.0569557 1.240899+3 35.0592743 1.220121+36325 3102 1902 35.0615929 1.194423+3 35.0639115 1.164464+3 35.0662300 1.130956+36325 3102 1903 35.0708672 1.056209+3 35.0824601 8.539084+2 35.0870972 7.765361+26325 3102 1904 35.0917344 7.043592+2 35.0940529 6.705082+2 35.0963715 6.382190+26325 3102 1905 35.0986901 6.075047+2 35.1010087 5.783548+2 35.1033272 5.507405+26325 3102 1906 35.1056458 5.246191+2 35.1079644 4.999384+2 35.1102830 4.766392+26325 3102 1907 35.1126015 4.546583+2 35.1149201 4.339300+2 35.1172387 4.143882+26325 3102 1908 35.1195573 3.959670+2 35.1218758 3.786020+2 35.1241944 3.622308+26325 3102 1909 35.1265130 3.467932+2 35.1288316 3.322319+2 35.1311501 3.184923+26325 3102 1910 35.1334687 3.055228+2 35.1357873 2.932748+2 35.1381059 2.817024+26325 3102 1911 35.1404244 2.707629+2 35.1427430 2.604159+2 35.1450616 2.506239+26325 3102 1912 35.1473802 2.413518+2 35.1520173 2.242386+2 35.1566545 2.088398+26325 3102 1913 35.1612916 1.949502+2 35.1659288 1.823918+2 35.1705659 1.710100+26325 3102 1914 35.1752031 1.606704+2 35.1798402 1.512563+2 35.1844774 1.426657+26325 3102 1915 35.1891145 1.348098+2 35.1937517 1.276110+2 35.1983888 1.210009+26325 3102 1916 35.2030260 1.149199+2 35.2076631 1.093152+2 35.2123003 1.041402+26325 3102 1917 35.2169374 9.935396+1 35.2215746 9.491991+1 35.2262117 9.080570+16325 3102 1918 35.2308489 8.698252+1 35.2354860 8.342465+1 35.2401232 8.010912+16325 3102 1919 35.2447603 7.701532+1 35.2493975 7.412480+1 35.2540346 7.142092+16325 3102 1920 35.2586718 6.888872+1 35.2633089 6.651469+1 35.2679461 6.428661+16325 3102 1921 35.2725832 6.219341+1 35.2818575 5.837240+1 35.2911318 5.498178+16325 3102 1922 35.3004061 5.196348+1 35.3096804 4.926898+1 35.3189547 4.685752+16325 3102 1923 35.3282290 4.469468+1 35.3375033 4.275125+1 35.3467776 4.100234+16325 3102 1924 35.3560519 3.942666+1 35.3653262 3.800591+1 35.3746005 3.672433+16325 3102 1925 35.3838748 3.556831+1 35.3931491 3.452601+1 35.4024234 3.358720+16325 3102 1926 35.4116977 3.274293+1 35.4209720 3.198544+1 35.4302463 3.130792+16325 3102 1927 35.4395206 3.070447+1 35.4487949 3.016992+1 35.4580692 2.969977+16325 3102 1928 35.4766178 2.893760+1 35.4951664 2.839274+1 35.5137150 2.804688+16325 3102 1929 35.5322636 2.788746+1 35.5415379 2.787514+1 35.5600865 2.798269+16325 3102 1930 35.5693608 2.810238+1 35.5851463 2.840816+1 35.6009317 2.884560+16325 3102 1931 35.6149447 2.934878+1 35.6289576 2.996585+1 35.6454234 3.084666+16325 3102 1932 35.6618892 3.191068+1 35.6783550 3.317797+1 35.6948208 3.467388+16325 3102 1933 35.7112866 3.643035+1 35.7195195 3.741844+1 35.7277524 3.848744+16325 3102 1934 35.7359853 3.964399+1 35.7442182 4.089555+1 35.7524511 4.225053+16325 3102 1935 35.7606840 4.371838+1 35.7689169 4.530981+1 35.7771498 4.703692+16325 3102 1936 35.7853827 4.891345+1 35.7936156 5.095505+1 35.8018485 5.317957+16325 3102 1937 35.8100814 5.560743+1 35.8183143 5.826209+1 35.8265472 6.117061+16325 3102 1938 35.8347801 6.436425+1 35.8430130 6.787935+1 35.8512459 7.175828+16325 3102 1939 35.8594788 7.605066+1 35.8677117 8.081489+1 35.8759446 8.612007+16325 3102 1940 35.8841775 9.204836+1 35.8882940 9.527614+1 35.8924104 9.869799+16325 3102 1941 35.8985851 1.042288+2 35.9047598 1.102901+2 35.9109344 1.169500+26325 3102 1942 35.9171091 1.242877+2 35.9232838 1.323956+2 35.9294585 1.413820+26325 3102 1943 35.9356331 1.513746+2 35.9418078 1.625244+2 35.9479825 1.750110+26325 3102 1944 35.9520989 1.841822+2 35.9562154 1.941157+2 35.9603318 2.048949+26325 3102 1945 35.9644483 2.166145+2 35.9685647 2.293824+2 35.9726812 2.433210+26325 3102 1946 35.9767976 2.585707+2 35.9809141 2.752916+2 35.9850305 2.936679+26325 3102 1947 35.9891470 3.139105+2 35.9932634 3.362624+2 35.9973799 3.610033+26325 3102 1948 36.0014963 3.884554+2 36.0035546 4.033121+2 36.0056128 4.189901+26325 3102 1949 36.0076710 4.355444+2 36.0097292 4.530344+2 36.0117875 4.715233+26325 3102 1950 36.0138457 4.910788+2 36.0159039 5.117733+2 36.0179621 5.336838+26325 3102 1951 36.0200204 5.568923+2 36.0220786 5.814858+2 36.0241368 6.075561+26325 3102 1952 36.0261950 6.351999+2 36.0282533 6.645184+2 36.0303115 6.956167+26325 3102 1953 36.0323697 7.286034+2 36.0344279 7.635892+2 36.0364862 8.006855+26325 3102 1954 36.0385444 8.400026+2 36.0406026 8.816470+2 36.0426608 9.257180+26325 3102 1955 36.0447191 9.723035+2 36.0467773 1.021475+3 36.0488355 1.073280+36325 3102 1956 36.0508937 1.127737+3 36.0529520 1.184822+3 36.0570684 1.306521+36325 3102 1957 36.0611849 1.436953+3 36.0694178 1.710714+3 36.0735342 1.842551+36325 3102 1958 36.0755924 1.903714+3 36.0776507 1.960119+3 36.0797089 2.010533+36325 3102 1959 36.0817671 2.053755+3 36.0838253 2.088674+3 36.0858836 2.114342+36325 3102 1960 36.0879418 2.130028+3 36.0900000 2.135274+3 36.0920582 2.129922+36325 3102 1961 36.0941165 2.114131+3 36.0961747 2.088363+3 36.0982329 2.053350+36325 3102 1962 36.1002911 2.010043+3 36.1023494 1.959551+3 36.1044076 1.903079+36325 3102 1963 36.1085240 1.777097+3 36.1188152 1.436116+3 36.1229316 1.305699+36325 3102 1964 36.1270481 1.184038+3 36.1291063 1.126979+3 36.1311645 1.072551+36325 3102 1965 36.1332227 1.020778+3 36.1352810 9.716412+2 36.1373392 9.250927+26325 3102 1966 36.1393974 8.810604+2 36.1414556 8.394563+2 36.1435139 8.001806+26325 3102 1967 36.1455721 7.631267+2 36.1476303 7.281841+2 36.1496885 6.952412+26325 3102 1968 36.1517468 6.641871+2 36.1538050 6.349132+2 36.1558632 6.073142+26325 3102 1969 36.1579214 5.812888+2 36.1599797 5.567402+2 36.1620379 5.335766+26325 3102 1970 36.1640961 5.117110+2 36.1661543 4.910613+2 36.1682126 4.715504+26325 3102 1971 36.1702708 4.531060+2 36.1723290 4.356603+2 36.1743872 4.191500+26325 3102 1972 36.1764455 4.035159+2 36.1805619 3.746593+2 36.1846784 3.486922+26325 3102 1973 36.1887948 3.252685+2 36.1929113 3.040882+2 36.1970277 2.848906+26325 3102 1974 36.2011442 2.674494+2 36.2052606 2.515676+2 36.2093771 2.370735+26325 3102 1975 36.2134935 2.238175+2 36.2176100 2.116684+2 36.2217264 2.005114+26325 3102 1976 36.2258429 1.902456+2 36.2299593 1.807821+2 36.2340758 1.720427+26325 3102 1977 36.2381922 1.639580+2 36.2423087 1.564665+2 36.2464251 1.495136+26325 3102 1978 36.2505416 1.430509+2 36.2546580 1.370349+2 36.2587745 1.314269+26325 3102 1979 36.2628909 1.261922+2 36.2670074 1.212997+2 36.2711238 1.167213+26325 3102 1980 36.2752403 1.124318+2 36.2793567 1.084085+2 36.2834732 1.046306+26325 3102 1981 36.2875896 1.010797+2 36.2958225 9.459223+1 36.3040554 8.882826+16325 3102 1982 36.3122883 8.368986+1 36.3205212 7.909521+1 36.3287541 7.497555+16325 3102 1983 36.3369870 7.127282+1 36.3452199 6.793774+1 36.3534528 6.492828+16325 3102 1984 36.3616857 6.220849+1 36.3699186 5.974745+1 36.3781515 5.751852+16325 3102 1985 36.3863844 5.549863+1 36.3946173 5.366780+1 36.4028502 5.200862+16325 3102 1986 36.4110831 5.050592+1 36.4193160 4.914648+1 36.4275489 4.791872+16325 3102 1987 36.4357818 4.681251+1 36.4440147 4.581901+1 36.4522476 4.493046+16325 3102 1988 36.4604805 4.414011+1 36.4687134 4.344208+1 36.4851792 4.230323+16325 3102 1989 36.5016450 4.148115+1 36.5181108 4.095244+1 36.5307634 4.073564+16325 3102 1990 36.5434159 4.067885+1 36.5564360 4.078574+1 36.5694560 4.106108+16325 3102 1991 36.5864000 4.167752+1 36.6033440 4.259955+1 36.6202880 4.385012+16325 3102 1992 36.6287600 4.460842+1 36.6372320 4.546203+1 36.6457040 4.641690+16325 3102 1993 36.6541760 4.747991+1 36.6626480 4.865893+1 36.6711200 4.996299+16325 3102 1994 36.6795920 5.140242+1 36.6923000 5.384169+1 36.7050080 5.665991+16325 3102 1995 36.7134800 5.877746+1 36.7219520 6.110948+1 36.7304240 6.367954+16325 3102 1996 36.7388960 6.651492+1 36.7473680 6.964723+1 36.7558400 7.311327+16325 3102 1997 36.7643120 7.695601+1 36.7727840 8.122587+1 36.7812560 8.598225+16325 3102 1998 36.7897280 9.129547+1 36.7982000 9.724920+1 36.8066720 1.039436+26325 3102 1999 36.8109080 1.076052+2 36.8151440 1.114991+2 36.8193800 1.156442+26325 3102 2000 36.8236160 1.200617+2 36.8278520 1.247747+2 36.8320880 1.298092+26325 3102 2001 36.8363240 1.351938+2 36.8405600 1.409602+2 36.8447960 1.471440+26325 3102 2002 36.8490320 1.537847+2 36.8532680 1.609267+2 36.8575040 1.686195+26325 3102 2003 36.8617400 1.769190+2 36.8659760 1.858880+2 36.8702120 1.955973+26325 3102 2004 36.8744480 2.061268+2 36.8786840 2.175675+2 36.8829200 2.300224+26325 3102 2005 36.8871560 2.436088+2 36.8913920 2.584606+2 36.8956280 2.747308+26325 3102 2006 36.8998640 2.925947+2 36.9041000 3.122534+2 36.9083360 3.339381+26325 3102 2007 36.9125720 3.579151+2 36.9168080 3.844907+2 36.9210440 4.140183+26325 3102 2008 36.9231620 4.300138+2 36.9252800 4.469045+2 36.9273980 4.647506+26325 3102 2009 36.9295160 4.836168+2 36.9316340 5.035723+2 36.9337520 5.246909+26325 3102 2010 36.9358700 5.470514+2 36.9379880 5.707374+2 36.9401060 5.958378+26325 3102 2011 36.9422240 6.224462+2 36.9443420 6.506615+2 36.9464600 6.805869+26325 3102 2012 36.9485780 7.123298+2 36.9506960 7.460011+2 36.9528140 7.817137+26325 3102 2013 36.9549320 8.195815+2 36.9570500 8.597172+2 36.9591680 9.022293+26325 3102 2014 36.9612860 9.472192+2 36.9634040 9.947769+2 36.9655220 1.044975+36325 3102 2015 36.9676400 1.097863+3 36.9697580 1.153458+3 36.9718760 1.211737+36325 3102 2016 36.9761120 1.335983+3 36.9803480 1.469146+3 36.9888200 1.748639+36325 3102 2017 36.9930560 1.883236+3 36.9951740 1.945679+3 36.9972920 2.003262+36325 3102 2018 36.9994100 2.054728+3 37.0015280 2.098850+3 37.0036460 2.134494+36325 3102 2019 37.0057640 2.160692+3 37.0078820 2.176699+3 37.0100000 2.182044+36325 3102 2020 37.0121180 2.176569+3 37.0142360 2.160435+3 37.0163540 2.134115+36325 3102 2021 37.0184720 2.098354+3 37.0205900 2.054125+3 37.0227080 2.002562+36325 3102 2022 37.0248260 1.944891+3 37.0269440 1.882373+3 37.0311800 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