JENDL-5 (Neutron sublibrary (activation cs)) Er-164 0 0 0 0 6.816400+4 1.625210+2 0 0 6 16831 1451 1 0.000000+0 0.000000+0 0 0 0 66831 1451 2 1.000000+0 2.000000+7 0 0 10 56831 1451 3 2.936000+2 0.000000+0 4 0 449 266831 1451 4 68-Er-164 JAEA EVAL-OCT11 K.Shibata (JAEA) 6831 1451 5 JNST 49, 824 (2012) DIST-DEC21 20180515 6831 1451 6 ----JENDL-5 MATERIAL 6831 6831 1451 7 -----INCIDENT NEUTRON DATA 6831 1451 8 ------ENDF-6 FORMAT 6831 1451 9 6831 1451 10 History 6831 1451 11 2011-10 Re-evaluated /1/ by K.Shibata. 6831 1451 12 2018-05 Activation cross sections added by K.Shibata. 6831 1451 13 21-11 revised by O.Iwamoto 6831 1451 14 (MF8/MT4) added 6831 1451 15 6831 1451 16 MF= 1 General information 6831 1451 17 MT=451 Descriptive data and directory 6831 1451 18 6831 1451 19 MF= 2 Resonance parameters 6831 1451 20 MT=151 Resolved and unresolved resonance parameters 6831 1451 21 Resolved resonance region: below 800.0 eV 6831 1451 22 Resolved resonance parameters were taken from Ref./2/ 6831 1451 23 The bound level at -24.4 eV has Gamma-n = 0.0738159 eV and 6831 1451 24 Gamma-gamma = 0.096 eV. This choice gives the desired 6831 1451 25 value for the thermal capture cross section, 13+-2 b /3/. 6831 1451 26 Values of Gamma-gamma not given in Ref.1 are set to 0.096 6831 1451 27 eV. The value for the scattering radius is 8.1 fm. 6831 1451 28 Highest energy resonance included is 750.22 eV. 6831 1451 29 No background cross section is given. 6831 1451 30 In JENDL-4.0, the parameters for 7.92-eV resonance were 6831 1451 31 replaced with those for 7.90-eV resonance measured by 6831 1451 32 Danon et al./4/ 6831 1451 33 RRP's remain unchanged from JENDL-4.0 6831 1451 34 Unresolved resonance region: 800 eV - 100 keV 6831 1451 35 The parameters were obtained by fitting to the calculated 6831 1451 36 total and capture cross sections. The unresolved resonance 6831 1451 37 parameters obtained should be used only for self-shielding 6831 1451 38 calculation. URP's were re-calculated by fitting to the 6831 1451 39 total and capture cross sections calculated by POD /5/. 6831 1451 40 6831 1451 41 Thermal cross sections and resonance integrals at 300 K 6831 1451 42 ---------------------------------------------------------- 6831 1451 43 0.0253 eV res. integ. (*) 6831 1451 44 (barns) (barns) 6831 1451 45 ---------------------------------------------------------- 6831 1451 46 Total 2.2013E+01 6831 1451 47 Elastic 9.1367E+00 6831 1451 48 n,gamma 1.2876E+01 1.5604E+02 6831 1451 49 ---------------------------------------------------------- 6831 1451 50 (*) Integrated from 0.5 eV to 10 MeV. 6831 1451 51 6831 1451 52 MF= 3 Neutron cross sections 6831 1451 53 MT= 1 Total cross section 6831 1451 54 Calculated with POD code /5/. 6831 1451 55 6831 1451 56 MT= 2 Elastic scattering cross section 6831 1451 57 The elastic scattering cross section was obtained by 6831 1451 58 subtracting the non-elastic cross section from the total 6831 1451 59 cross sections. 6831 1451 60 6831 1451 61 MT= 3 Non-elastic cross section 6831 1451 62 Sum of partial non-elastic cross sections. 6831 1451 63 6831 1451 64 MT= 4,51-91 (n,n') cross section 6831 1451 65 Calculated with POD code /5/. 6831 1451 66 6831 1451 67 MT= 16 (n,2n) cross section 6831 1451 68 Calculated with POD code /5/. 6831 1451 69 6831 1451 70 MT= 17 (n,3n) cross section 6831 1451 71 Calculated with POD code /5/. 6831 1451 72 6831 1451 73 MT= 22 (n,na) cross section 6831 1451 74 Calculated with POD code /5/. 6831 1451 75 6831 1451 76 MT= 28 (n,np) cross section 6831 1451 77 Calculated with POD code /5/. 6831 1451 78 6831 1451 79 MT= 32 (n,nd) cross section 6831 1451 80 Calculated with POD code /5/. 6831 1451 81 6831 1451 82 MT=102 Capture cross section 6831 1451 83 Calculated with POD code /5/. 6831 1451 84 6831 1451 85 MT=103 (n,p) cross section 6831 1451 86 Calculated with POD code /5/. 6831 1451 87 6831 1451 88 MT=104 (n,d) cross section 6831 1451 89 Calculated with POD code /5/. 6831 1451 90 6831 1451 91 MT=105 (n,t) cross section 6831 1451 92 Calculated with POD code /5/. 6831 1451 93 6831 1451 94 MT=106 (n,He3) cross section 6831 1451 95 Calculated with POD code /5/. 6831 1451 96 6831 1451 97 MT=107 (n,a) cross section 6831 1451 98 Calculated with POD code /5/. 6831 1451 99 6831 1451 100 MT=203 (n,xp) cross section 6831 1451 101 Calculated with POD code /5/. 6831 1451 102 6831 1451 103 MT=204 (n,xd) cross section 6831 1451 104 Calculated with POD code /5/. 6831 1451 105 6831 1451 106 MT=205 (n,xt) cross section 6831 1451 107 Calculated with POD code /5/. 6831 1451 108 6831 1451 109 MT=206 (n,xHe3) cross section 6831 1451 110 Calculated with POD code /5/. 6831 1451 111 6831 1451 112 MT=207 (n,xa) cross section 6831 1451 113 Calculated with POD code /5/. 6831 1451 114 6831 1451 115 MF= 4 Angular distributions of emitted neutrons 6831 1451 116 MT= 2 Elastic scattering 6831 1451 117 Calculated with POD code /5/. 6831 1451 118 6831 1451 119 MF= 6 Energy-angle distributions of emitted particles 6831 1451 120 MT= 16 (n,2n) reaction 6831 1451 121 Neutron spectra calculated with POD/5/. 6831 1451 122 6831 1451 123 MT= 17 (n,3n) reaction 6831 1451 124 Neutron spectra calculated with POD/5/. 6831 1451 125 6831 1451 126 MT= 22 (n,na) reaction 6831 1451 127 Neutron spectra calculated with POD/5/. 6831 1451 128 6831 1451 129 MT= 28 (n,np) reaction 6831 1451 130 Neutron spectra calculated with POD/5/. 6831 1451 131 6831 1451 132 MT= 32 (n,nd) reaction 6831 1451 133 Neutron spectra calculated with POD/5/. 6831 1451 134 6831 1451 135 MT= 51 (n,n') reaction 6831 1451 136 Neutron angular distributions calculated with POD/5/. 6831 1451 137 6831 1451 138 MT= 52 (n,n') reaction 6831 1451 139 Neutron angular distributions calculated with POD/5/. 6831 1451 140 6831 1451 141 MT= 53 (n,n') reaction 6831 1451 142 Neutron angular distributions calculated with POD/5/. 6831 1451 143 6831 1451 144 MT= 54 (n,n') reaction 6831 1451 145 Neutron angular distributions calculated with POD/5/. 6831 1451 146 6831 1451 147 MT= 55 (n,n') reaction 6831 1451 148 Neutron angular distributions calculated with POD/5/. 6831 1451 149 6831 1451 150 MT= 56 (n,n') reaction 6831 1451 151 Neutron angular distributions calculated with POD/5/. 6831 1451 152 6831 1451 153 MT= 57 (n,n') reaction 6831 1451 154 Neutron angular distributions calculated with POD/5/. 6831 1451 155 6831 1451 156 MT= 58 (n,n') reaction 6831 1451 157 Neutron angular distributions calculated with POD/5/. 6831 1451 158 6831 1451 159 MT= 59 (n,n') reaction 6831 1451 160 Neutron angular distributions calculated with POD/5/. 6831 1451 161 6831 1451 162 MT= 60 (n,n') reaction 6831 1451 163 Neutron angular distributions calculated with POD/5/. 6831 1451 164 6831 1451 165 MT= 61 (n,n') reaction 6831 1451 166 Neutron angular distributions calculated with POD/5/. 6831 1451 167 6831 1451 168 MT= 62 (n,n') reaction 6831 1451 169 Neutron angular distributions calculated with POD/5/. 6831 1451 170 6831 1451 171 MT= 63 (n,n') reaction 6831 1451 172 Neutron angular distributions calculated with POD/5/. 6831 1451 173 6831 1451 174 MT= 64 (n,n') reaction 6831 1451 175 Neutron angular distributions calculated with POD/5/. 6831 1451 176 6831 1451 177 MT= 65 (n,n') reaction 6831 1451 178 Neutron angular distributions calculated with POD/5/. 6831 1451 179 6831 1451 180 MT= 66 (n,n') reaction 6831 1451 181 Neutron angular distributions calculated with POD/5/. 6831 1451 182 6831 1451 183 MT= 67 (n,n') reaction 6831 1451 184 Neutron angular distributions calculated with POD/5/. 6831 1451 185 6831 1451 186 MT= 68 (n,n') reaction 6831 1451 187 Neutron angular distributions calculated with POD/5/. 6831 1451 188 6831 1451 189 MT= 69 (n,n') reaction 6831 1451 190 Neutron angular distributions calculated with POD/5/. 6831 1451 191 6831 1451 192 MT= 70 (n,n') reaction 6831 1451 193 Neutron angular distributions calculated with POD/5/. 6831 1451 194 6831 1451 195 MT= 71 (n,n') reaction 6831 1451 196 Neutron angular distributions calculated with POD/5/. 6831 1451 197 6831 1451 198 MT= 72 (n,n') reaction 6831 1451 199 Neutron angular distributions calculated with POD/5/. 6831 1451 200 6831 1451 201 MT= 73 (n,n') reaction 6831 1451 202 Neutron angular distributions calculated with POD/5/. 6831 1451 203 6831 1451 204 MT= 74 (n,n') reaction 6831 1451 205 Neutron angular distributions calculated with POD/5/. 6831 1451 206 6831 1451 207 MT= 75 (n,n') reaction 6831 1451 208 Neutron angular distributions calculated with POD/5/. 6831 1451 209 6831 1451 210 MT= 76 (n,n') reaction 6831 1451 211 Neutron angular distributions calculated with POD/5/. 6831 1451 212 6831 1451 213 MT= 77 (n,n') reaction 6831 1451 214 Neutron angular distributions calculated with POD/5/. 6831 1451 215 6831 1451 216 MT= 78 (n,n') reaction 6831 1451 217 Neutron angular distributions calculated with POD/5/. 6831 1451 218 6831 1451 219 MT= 79 (n,n') reaction 6831 1451 220 Neutron angular distributions calculated with POD/5/. 6831 1451 221 6831 1451 222 MT= 80 (n,n') reaction 6831 1451 223 Neutron angular distributions calculated with POD/5/. 6831 1451 224 6831 1451 225 MT= 81 (n,n') reaction 6831 1451 226 Neutron angular distributions calculated with POD/5/. 6831 1451 227 6831 1451 228 MT= 82 (n,n') reaction 6831 1451 229 Neutron angular distributions calculated with POD/5/. 6831 1451 230 6831 1451 231 MT= 83 (n,n') reaction 6831 1451 232 Neutron angular distributions calculated with POD/5/. 6831 1451 233 6831 1451 234 MT= 84 (n,n') reaction 6831 1451 235 Neutron angular distributions calculated with POD/5/. 6831 1451 236 6831 1451 237 MT= 85 (n,n') reaction 6831 1451 238 Neutron angular distributions calculated with POD/5/. 6831 1451 239 6831 1451 240 MT= 86 (n,n') reaction 6831 1451 241 Neutron angular distributions calculated with POD/5/. 6831 1451 242 6831 1451 243 MT= 87 (n,n') reaction 6831 1451 244 Neutron angular distributions calculated with POD/5/. 6831 1451 245 6831 1451 246 MT= 88 (n,n') reaction 6831 1451 247 Neutron angular distributions calculated with POD/5/. 6831 1451 248 6831 1451 249 MT= 89 (n,n') reaction 6831 1451 250 Neutron angular distributions calculated with POD/5/. 6831 1451 251 6831 1451 252 MT= 90 (n,n') reaction 6831 1451 253 Neutron angular distributions calculated with POD/5/. 6831 1451 254 6831 1451 255 MT= 91 (n,n') reaction 6831 1451 256 Neutron spectra calculated with POD/5/. 6831 1451 257 6831 1451 258 MT= 203 (n,xp) reaction 6831 1451 259 Proton spectra calculated with POD/5/. 6831 1451 260 6831 1451 261 MT= 204 (n,xd) reaction 6831 1451 262 Deuteron spectra calculated with POD/5/. 6831 1451 263 6831 1451 264 MT= 205 (n,xt) reaction 6831 1451 265 Triton spectra calculated with POD/5/. 6831 1451 266 6831 1451 267 MT= 206 (n,xHe3) reaction 6831 1451 268 He3 spectra calculated with POD/5/. 6831 1451 269 6831 1451 270 MT= 207 (n,xa) reaction 6831 1451 271 Alpha spectra calculated with POD/5/. 6831 1451 272 6831 1451 273 MF= 8 Information on decay data 6831 1451 274 MT= 16 (n,2n) reaction 6831 1451 275 6831 1451 276 MT= 17 (n,3n) reaction 6831 1451 277 6831 1451 278 MT= 22 (n,na) reaction 6831 1451 279 6831 1451 280 MT= 28 (n,np) reaction 6831 1451 281 6831 1451 282 MT= 32 (n,nd) reaction 6831 1451 283 6831 1451 284 MT=102 (n,g) reaction 6831 1451 285 6831 1451 286 MT=103 (n,p) reaction 6831 1451 287 6831 1451 288 MT=104 (n,d) reaction 6831 1451 289 6831 1451 290 MT=105 (n,t) reaction 6831 1451 291 6831 1451 292 MT=106 (n,He3) reaction 6831 1451 293 6831 1451 294 MT=107 (n,a) reaction 6831 1451 295 6831 1451 296 MF=10 Nuclide production cross sections 6831 1451 297 MT= 28 Partial (n,np) reactions 6831 1451 298 Calculated with POD code /5/. 6831 1451 299 6831 1451 300 MT= 32 Partial (n,nd) reactions 6831 1451 301 Calculated with POD code /5/. 6831 1451 302 6831 1451 303 MT=103 Partial (n,p) reactions 6831 1451 304 Calculated with POD code /5/. 6831 1451 305 6831 1451 306 MT=104 Partial (n,d) reactions 6831 1451 307 Calculated with POD code /5/. 6831 1451 308 6831 1451 309 MT=105 Partial (n,t) reactions 6831 1451 310 Calculated with POD code /5/. 6831 1451 311 6831 1451 312 MF=12 Gamma-ray multiplicities 6831 1451 313 MT= 3 Non-elastic gamma emission 6831 1451 314 Calculated with POD code /5/. 6831 1451 315 6831 1451 316 MF=14 Gamma-ray angular distributions 6831 1451 317 MT= 3 Non-elastic gamma emission 6831 1451 318 Assumed to be isotropic. 6831 1451 319 6831 1451 320 MF=15 Gamma-ray spectra 6831 1451 321 MT= 3 Non-elastic gamma emission 6831 1451 322 Calculated with POD code /5/. 6831 1451 323 6831 1451 324 6831 1451 325 6831 1451 326 *************************************************************** 6831 1451 327 * Nuclear Model Calculations with POD Code /5/ * 6831 1451 328 *************************************************************** 6831 1451 329 1. Theoretical models 6831 1451 330 The POD code is based on the spherical optical model, the 6831 1451 331 distorted-wave Born approximaiton (DWBA), one-component exciton 6831 1451 332 preequilibrium model, and the Hauser-Feshbach-Moldauer statis- 6831 1451 333 tical model. With the preequilibrim model, semi-empirical 6831 1451 334 pickup and knockout process can be taken into account for 6831 1451 335 composite-particle emission. The gamma-ray emission from the 6831 1451 336 compound nucleus can be calculated within the framework of the 6831 1451 337 exciton model. The code is capable of reading in particle 6831 1451 338 transmission coefficients calculated by separate spherical or 6831 1451 339 coupled-channel optical model code. 6831 1451 340 6831 1451 341 2. Optical model parameters 6831 1451 342 Neutrons: 6831 1451 343 Coupled-channel optical model parameters /6/ 6831 1451 344 Note that V_R0 was changed to -38.0 MeV from the original value.6831 1451 345 Protons: 6831 1451 346 Koning and Delaroche /7/ 6831 1451 347 Deuterons: 6831 1451 348 Lohr and Haeberli /8/ 6831 1451 349 Tritons: 6831 1451 350 Becchetti and Greenlees /9/ 6831 1451 351 He-3: 6831 1451 352 Becchetti and Greenlees /9/ 6831 1451 353 Alphas: 6831 1451 354 Lemos /10/ potentials modified by Arthur and Young /11/ 6831 1451 355 6831 1451 356 3. Level scheme of Er-164 6831 1451 357 ------------------------- 6831 1451 358 No. Ex(MeV) J PI 6831 1451 359 ------------------------- 6831 1451 360 0 0.00000 0 + 6831 1451 361 1* 0.09138 2 + 6831 1451 362 2* 0.29943 4 + 6831 1451 363 3* 0.61437 6 + 6831 1451 364 4* 0.86025 2 + 6831 1451 365 5* 0.94640 3 + 6831 1451 366 6* 1.02459 8 + 6831 1451 367 7* 1.05848 4 + 6831 1451 368 8 1.19746 5 + 6831 1451 369 9 1.24604 0 + 6831 1451 370 10 1.31456 2 + 6831 1451 371 11 1.35868 6 + 6831 1451 372 12 1.38673 1 - 6831 1451 373 13 1.41656 0 + 6831 1451 374 14* 1.43397 3 - 6831 1451 375 15 1.46970 4 + 6831 1451 376 16 1.48370 2 + 6831 1451 377 17 1.49480 4 - 6831 1451 378 18 1.50760 3 - 6831 1451 379 19 1.51806 10 + 6831 1451 380 20 1.54506 7 + 6831 1451 381 21 1.55530 5 - 6831 1451 382 22 1.56867 3 - 6831 1451 383 23 1.57783 1 - 6831 1451 384 24 1.61030 5 - 6831 1451 385 25 1.63150 6 + 6831 1451 386 26 1.64020 3 - 6831 1451 387 27 1.66418 5 - 6831 1451 388 28 1.68339 5 + 6831 1451 389 29 1.70210 3 + 6831 1451 390 30 1.70220 0 + 6831 1451 391 31 1.70660 6 + 6831 1451 392 32 1.71550 2 + 6831 1451 393 33 1.72610 4 + 6831 1451 394 34 1.74160 4 - 6831 1451 395 35 1.74448 6 - 6831 1451 396 36 1.74484 8 + 6831 1451 397 37 1.76380 7 - 6831 1451 398 38 1.76586 0 + 6831 1451 399 39 1.78835 2 + 6831 1451 400 40 1.79840 5 - 6831 1451 401 ------------------------- 6831 1451 402 Levels above 1.80840 MeV are assumed to be continuous. 6831 1451 403 The symbol (*) stands for the excited level involved in the 6831 1451 404 coupled-channel calculation. 6831 1451 405 6831 1451 406 4. Level density parameters 6831 1451 407 Energy-dependent parameters of Mengoni-Nakajima /12/ were used 6831 1451 408 ---------------------------------------------------------- 6831 1451 409 Nuclei a* Pair Esh T E0 Ematch Elv_max 6831 1451 410 1/MeV MeV MeV MeV MeV MeV MeV 6831 1451 411 ---------------------------------------------------------- 6831 1451 412 Er-165 19.721 0.934 2.568 0.545 -1.312 6.241 0.590 6831 1451 413 Er-164 19.554 1.874 2.668 0.555 -0.500 7.383 1.798 6831 1451 414 Er-163 20.272 0.940 3.040 0.510 -1.130 5.846 0.735 6831 1451 415 Er-162 19.349 1.886 3.006 0.527 -0.161 6.852 1.623 6831 1451 416 Ho-164 19.421 0.000 2.261 0.483 -1.333 3.882 0.343 6831 1451 417 Ho-163 18.671 0.940 2.668 0.578 -1.484 6.630 0.720 6831 1451 418 Ho-162 19.219 0.000 2.893 0.370 -0.399 2.119 0.766 6831 1451 419 Dy-162 18.802 1.886 2.461 0.582 -0.575 7.638 1.767 6831 1451 420 Dy-161 19.464 0.946 2.764 0.563 -1.568 6.656 0.568 6831 1451 421 Dy-160 19.144 1.897 2.875 0.579 -0.774 7.872 1.708 6831 1451 422 ---------------------------------------------------------- 6831 1451 423 6831 1451 424 5. Gamma-ray strength functions 6831 1451 425 M1, E2: Standard Lorentzian (SLO) 6831 1451 426 E1 : Modified Lorentzian (MLO) /13/ 6831 1451 427 6831 1451 428 6. Preequilibrium process 6831 1451 429 Preequilibrium is on for n, p, d, t, He-3, and alpha. 6831 1451 430 Preequilibrium capture is on. 6831 1451 431 6831 1451 432 References 6831 1451 433 1) K.Shibata, J. Nucl. Sci. Technol., 49, 824 (2012). 6831 1451 434 2) Landolt-Boernstein New Series I/16B (Aug 1998). 6831 1451 435 3) S. F. Mughabghab, "Neutron Cross Sections: Vol. 1, 6831 1451 436 Neutron Resonance Parameters and Thermal Cross Sections, 6831 1451 437 Part B: Z=61-100," Academic Press (1984). 6831 1451 438 4) Y.Danon et al., Nucl. Sci. Eng. 128, 61 (1998). 6831 1451 439 5) A.Ichihara et al., JAEA-Data/Code 2007-012 (2007). 6831 1451 440 6) S.Kunieda et al., J. Nucl. Sci. Technol. 44, 838 (2007). 6831 1451 441 7) A.J.Koning, J.P.Delaroche, Nucl. Phys. A713, 231 (2003). 6831 1451 442 8) J.M.Lohr, W.Haeberli, Nucl. Phys. A232, 381 (1974). 6831 1451 443 9) F.D.Becchetti,Jr., G.W.Greenlees, "Polarization 6831 1451 444 Phenomena in Nuclear Reactions," p.682, The University 6831 1451 445 of Wisconsin Press (1971). 6831 1451 446 10) O.F.Lemos, Orsay Report, Series A, No.136 (1972). 6831 1451 447 11) E.D.Arthur, P.G.Young, LA-8626-MS (1980). 6831 1451 448 12) A.Mengoni, Y.Nakajima, J. Nucl. Sci. Technol. 31, 151 6831 1451 449 (1994). 6831 1451 450 13) V.A.Plujko et al., J. Nucl. Sci. Technol. Suppl. 2, 811 6831 1451 451 (2002). 6831 1451 452 6831 1451 453 1 451 479 16831 1451 454 2 151 4 16831 1451 455 3 4 30 16831 1451 456 3 16 8 16831 1451 457 3 17 5 16831 1451 458 3 22 8 16831 1451 459 3 102 1717 16831 1451 460 3 106 7 16831 1451 461 3 107 13 16831 1451 462 8 4 2 16831 1451 463 8 16 2 16831 1451 464 8 17 2 16831 1451 465 8 22 2 16831 1451 466 8 28 3 16831 1451 467 8 32 3 16831 1451 468 8 102 2 16831 1451 469 8 103 3 16831 1451 470 8 104 3 16831 1451 471 8 105 3 16831 1451 472 8 106 2 16831 1451 473 8 107 2 16831 1451 474 10 28 14 16831 1451 475 10 32 9 16831 1451 476 10 103 23 16831 1451 477 10 104 17 16831 1451 478 10 105 15 16831 1451 479 6831 1 099999 6831 0 0 0 6.816400+4 1.625210+2 0 0 1 06831 2151 1 6.816400+4 1.000000+0 0 0 1 06831 2151 2 1.000000-5 8.000000+2 0 0 0 06831 2151 3 0.000000+0 8.100000-1 0 0 0 06831 2151 4 6831 2 099999 6831 0 0 0 6.816400+4 1.625210+2 0 0 0 06831 3 4 1 0.000000+0-9.138000+4 0 0 1 816831 3 4 2 81 2 6831 3 4 3 9.194227+4 0.000000+0 1.000000+5 7.562000-2 2.000000+5 4.518000-16831 3 4 4 3.000000+5 7.765000-1 3.012724+5 7.799673-1 4.000000+5 1.059840+06831 3 4 5 5.000000+5 1.306420+0 6.000000+5 1.513900+0 6.181503+5 1.543412+06831 3 4 6 7.000000+5 1.676548+0 8.000000+5 1.796893+0 8.655432+5 1.785111+06831 3 4 7 9.000000+5 1.955617+0 9.522232+5 1.975421+0 1.000000+6 2.092109+06831 3 4 8 1.030894+6 2.104019+0 1.064993+6 2.117164+0 1.204828+6 2.190956+06831 3 4 9 1.250000+6 2.218370+0 1.253707+6 2.215026+0 1.322649+6 2.171570+06831 3 4 10 1.367040+6 2.178731+0 1.395263+6 2.183343+0 1.425276+6 2.214427+06831 3 4 11 1.442793+6 2.240720+0 1.478743+6 2.314828+0 1.492829+6 2.346511+06831 3 4 12 1.500000+6 2.396151+0 1.503998+6 2.393261+0 1.516876+6 2.385062+06831 3 4 13 1.527401+6 2.379936+0 1.554567+6 2.366707+0 1.564870+6 2.361715+06831 3 4 14 1.578322+6 2.355527+0 1.587538+6 2.352654+0 1.620208+6 2.348961+06831 3 4 15 1.641539+6 2.347024+0 1.650292+6 2.346273+0 1.674420+6 2.347770+06831 3 4 16 1.693748+6 2.349356+0 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