JENDL-5 (Neutron sublibrary (activation cs)) Th-229 0 0 0 0 9.022900+4 2.270640+2 0 0 6 19031 1451 1 0.000000+0 1.000000+0 0 0 0 69031 1451 2 1.000000+0 2.000000+7 0 0 10 59031 1451 3 2.936000+2 0.000000+0 4 0 399 149031 1451 4 90-Th-229 JAEA+ EVAL-JAN10 O.Iwamoto, T.Nakagawa, et al. 9031 1451 5 DIST-DEC21 20100323 9031 1451 6 ----JENDL-5 MATERIAL 9031 9031 1451 7 -----INCIDENT NEUTRON DATA 9031 1451 8 ------ENDF-6 FORMAT 9031 1451 9 9031 1451 10 History 9031 1451 11 07-06 New theoretical calculation was made with CCONE code. 9031 1451 12 07-07 Data were compiled as JENDL/AC-2008/1/. 9031 1451 13 09-08 (MF1,MT458) was evaluated. 9031 1451 14 10-01 Data of prompt gamma rays due to fission were given. 9031 1451 15 10-02 Nu-total, nu-d and nu-p were revised. 9031 1451 16 10-03 Covariance data were given. 9031 1451 17 9031 1451 18 21-11 revised by O.Iwamoto 9031 1451 19 (MF3/MT19-21,38) deleted 9031 1451 20 (MF8/MT4,16-18,37,102) added 9031 1451 21 9031 1451 22 MF=1 General information 9031 1451 23 9031 1451 24 MT=452 Number of neutrons per fission 9031 1451 25 Sum of MT's=455 and 456. 9031 1451 26 9031 1451 27 MT=455 Delayed neutrons 9031 1451 28 Average values of systematics by Tuttle/2/, Benedetti et 9031 1451 29 al./3/ and Waldo et al./4/ Decay constants were adopted from 9031 1451 30 the evaluation by Brady and England/5/. 9031 1451 31 9031 1451 32 MT=456 Prompt neutrons 9031 1451 33 Thermal data was based on the experimental data of Kroshin 9031 1451 34 and Zamjatnin/6/, Jaffy and Lerner/7/ and Lebedev 9031 1451 35 and Kalashnikova/8/. An energy dependent term was based on 9031 1451 36 systematics recommended by Ohsawa /9/. 9031 1451 37 9031 1451 38 MT=458 Components of energy release due to fission 9031 1451 39 Total energy and prompt energy were calculated from mass 9031 1451 40 balance using JENDL-4 fission yields data and mass excess 9031 1451 41 evaluation. Mass excess values were from Audi's 2009 9031 1451 42 evaluation/10/. Delayed energy values were calculated from 9031 1451 43 the energy release for infinite irradiation using JENDL FP 9031 1451 44 Decay Data File 2000 and JENDL-4 yields data. For delayed 9031 1451 45 neutron energy, as the JENDL FP Decay Data File 2000/11/ does 9031 1451 46 not include average neutron energy values, the average values 9031 1451 47 were calculated using the formula shown in the report by 9031 1451 48 T.R. England/12/. The fractions of prompt energy were 9031 1451 49 calculated using the fractions of Sher's evaluation/13/ when 9031 1451 50 they were provided. When the fractions were not given by Sher,9031 1451 51 averaged fractions were used. 9031 1451 52 9031 1451 53 9031 1451 54 MF= 2 Resonance parameters 9031 1451 55 MT=151 9031 1451 56 Resolved resonance parameters (below 8 eV) 9031 1451 57 A set of parameters recommended by Mughabghab/14/ was modified9031 1451 58 so as to reproduce the fission cross section measured by 9031 1451 59 Kobayashi et al./15/, and the total cross section of Cote et 9031 1451 60 al./16/ 9031 1451 61 9031 1451 62 Unresolved resonance parameters (8 eV - 20 keV) 9031 1451 63 Parameters (URP) were determined with ASREP code /17/ so as to9031 1451 64 reproduce the cross sections in this energy region. URP are 9031 1451 65 used only for self-shielding calculations. 9031 1451 66 9031 1451 67 9031 1451 68 Thermal cross sections and resonance integrals (at 300K) 9031 1451 69 ------------------------------------------------------- 9031 1451 70 0.0253 eV reson. integ. 9031 1451 71 (barns) (barns) 9031 1451 72 ------------------------------------------------------- 9031 1451 73 total 111.91 9031 1451 74 elastic 10.43 9031 1451 75 fission 30.92 315 9031 1451 76 capture 70.56 1310 9031 1451 77 ------------------------------------------------------- 9031 1451 78 9031 1451 79 MF= 3 Neutron cross sections 9031 1451 80 Cross sections above the resolved resonance region were 9031 1451 81 calculated with CCONE code/18/. 9031 1451 82 9031 1451 83 MT= 1 Total cross section 9031 1451 84 The cross section was calculated with CC OMP of Soukhovitskii 9031 1451 85 et al./19/. 9031 1451 86 9031 1451 87 MT=18 Fission cross section 9031 1451 88 Experimental data of Kobayashi et al./15/ and Gokhberg et al. 9031 1451 89 /20/ were used to adjust parameters of CCONE code. 9031 1451 90 9031 1451 91 9031 1451 92 MF= 4 Angular distributions of secondary neutrons 9031 1451 93 MT=2 Elastic scattering 9031 1451 94 Calculated with CCONE code/18/. 9031 1451 95 9031 1451 96 MT=18 Fission 9031 1451 97 Isotropic distributions in the laboratory system were assumed.9031 1451 98 9031 1451 99 9031 1451 100 MF= 5 Energy distributions of secondary neutrons 9031 1451 101 MT=18 Prompt neutrons 9031 1451 102 Calculated with CCONE code/18/ 9031 1451 103 9031 1451 104 MT=455 Delayed neutrons 9031 1451 105 Results of summation calculation made by Brady and England/5/ 9031 1451 106 were adopted. 9031 1451 107 9031 1451 108 9031 1451 109 MF= 6 Energy-angle distributions 9031 1451 110 Calculated with CCONE code/18/. 9031 1451 111 Distributions from fission (MT=18) are not included. 9031 1451 112 9031 1451 113 9031 1451 114 MF=12 Photon production multiplicities 9031 1451 115 MT=18 Fission 9031 1451 116 Calculated from the total energy released by the prompt 9031 1451 117 gamma-rays due to fission given in MF=1/MT=458 and the 9031 1451 118 average energy of gamma-rays. 9031 1451 119 9031 1451 120 9031 1451 121 MF=14 Photon angular distributions 9031 1451 122 MT=18 Fission 9031 1451 123 Isotoropic distributions were assumed. 9031 1451 124 9031 1451 125 9031 1451 126 MF=15 Continuous photon energy spectra 9031 1451 127 MT=18 Fission 9031 1451 128 Experimental data measured by Verbinski et al./21/ for 9031 1451 129 U-235 thermal fission were adopted. 9031 1451 130 9031 1451 131 9031 1451 132 MF=31 Covariances of average number of neutrons per fission 9031 1451 133 MT=452 Number of neutrons per fission 9031 1451 134 Sum of covariances for MT=455 and MT=456. 9031 1451 135 9031 1451 136 MT=455 9031 1451 137 Error of 15% was assumed. 9031 1451 138 9031 1451 139 MT=456 9031 1451 140 Covariance was obtained by fitting a linear function to the 9031 1451 141 data at 0.0 and 5.0 MeV with an uncertainty of 5%. 9031 1451 142 The uncertainty at 0.0 eV was estimated from the experimental 9031 1451 143 data/6,7,8/. 9031 1451 144 9031 1451 145 9031 1451 146 MF=32 Covariances of resonance parameters 9031 1451 147 MT=151 Resolved resonance parameterss 9031 1451 148 Format of LCOMP=0 was adopted. 9031 1451 149 9031 1451 150 Uncertainties of parameters were taken from Mughabghab /14/. 9031 1451 151 For the parameters without any information on uncertainty, 9031 1451 152 the following uncertainties were assumed: 9031 1451 153 Resonance energy 0.1 % 9031 1451 154 Neutron width 10 % 9031 1451 155 Capture width 20 % 9031 1451 156 Fission width 20 % 9031 1451 157 They were further modified by considering experimental data 9031 1451 158 of the fission cross section at the thermal neutron energy. 9031 1451 159 9031 1451 160 9031 1451 161 MF=33 Covariances of neutron cross sections 9031 1451 162 Covariances were given to all the cross sections by using 9031 1451 163 KALMAN code/22/ and the covariances of model parameters 9031 1451 164 used in the cross-section calculations. 9031 1451 165 9031 1451 166 Covariances of the total, elastic-scattering, fission and 9031 1451 167 capture cross sections were determined by considering the 9031 1451 168 experimental data (see MF=3). 9031 1451 169 9031 1451 170 In the resolved resonance region, the following standard 9031 1451 171 deviations were added to the contributions from resonance 9031 1451 172 parameters: 9031 1451 173 Total 20 % 9031 1451 174 Elastic scattering 20 % 9031 1451 175 Capture 20 % 9031 1451 176 9031 1451 177 9031 1451 178 MF=34 Covariances for Angular Distributions 9031 1451 179 MT=2 Elastic scattering 9031 1451 180 Covariances were given only to P1 components. 9031 1451 181 9031 1451 182 9031 1451 183 MF=35 Covariances for Energy Distributions 9031 1451 184 MT=18 Fission spectra 9031 1451 185 Estimated with CCONE and KALMAN codes. 9031 1451 186 9031 1451 187 9031 1451 188 ***************************************************************** 9031 1451 189 Calculation with CCONE code 9031 1451 190 ***************************************************************** 9031 1451 191 9031 1451 192 Models and parameters used in the CCONE/18/ calculation 9031 1451 193 1) Coupled channel optical model 9031 1451 194 Levels in the rotational band were included. Optical model 9031 1451 195 potential and coupled levels are shown in Table 1. 9031 1451 196 9031 1451 197 2) Two-component exciton model/23/ 9031 1451 198 * Global parametrization of Koning-Duijvestijn/24/ 9031 1451 199 was used. 9031 1451 200 * Gamma emission channel/25/ was added to simulate direct 9031 1451 201 and semi-direct capture reaction. 9031 1451 202 9031 1451 203 3) Hauser-Feshbach statistical model 9031 1451 204 * Moldauer width fluctuation correction/26/ was included. 9031 1451 205 * Neutron, gamma and fission decay channel were included. 9031 1451 206 * Transmission coefficients of neutrons were taken from 9031 1451 207 coupled channel calculation in Table 1. 9031 1451 208 * The level scheme of the target is shown in Table 2. 9031 1451 209 * Level density formula of constant temperature and Fermi-gas 9031 1451 210 model were used with shell energy correction and collective 9031 1451 211 enhancement factor. Parameters are shown in Table 3. 9031 1451 212 * Fission channel: 9031 1451 213 Double humped fission barriers were assumed. 9031 1451 214 Fission barrier penetrabilities were calculated with 9031 1451 215 Hill-Wheler formula/27/. Fission barrier parameters were 9031 1451 216 shown in Table 4. Transition state model was used and 9031 1451 217 continuum levels are assumed above the saddles. The level 9031 1451 218 density parameters for inner and outer saddles are shown in 9031 1451 219 Tables 5 and 6, respectively. 9031 1451 220 * Gamma-ray strength function of Kopecky et al/28/,/29/ 9031 1451 221 was used. The prameters are shown in Table 7. 9031 1451 222 9031 1451 223 9031 1451 224 ------------------------------------------------------------------9031 1451 225 Tables 9031 1451 226 ------------------------------------------------------------------9031 1451 227 9031 1451 228 Table 1. Coupled channel calculation 9031 1451 229 -------------------------------------------------- 9031 1451 230 * rigid rotor model was applied 9031 1451 231 * coupled levels = 0,2,8,13,23 (see Table 2) 9031 1451 232 * optical potential parameters /19/ 9031 1451 233 Volume: 9031 1451 234 V_0 = 49.97 MeV 9031 1451 235 lambda_HF = 0.01004 1/MeV 9031 1451 236 C_viso = 15.9 MeV 9031 1451 237 A_v = 12.04 MeV 9031 1451 238 B_v = 81.36 MeV 9031 1451 239 E_a = 385 MeV 9031 1451 240 r_v = 1.2568 fm 9031 1451 241 a_v = 0.633 fm 9031 1451 242 Surface: 9031 1451 243 W_0 = 17.2 MeV 9031 1451 244 B_s = 11.19 MeV 9031 1451 245 C_s = 0.01361 1/MeV 9031 1451 246 C_wiso = 23.5 MeV 9031 1451 247 r_s = 1.1803 fm 9031 1451 248 a_s = 0.601 fm 9031 1451 249 Spin-orbit: 9031 1451 250 V_so = 5.75 MeV 9031 1451 251 lambda_so = 0.005 1/MeV 9031 1451 252 W_so = -3.1 MeV 9031 1451 253 B_so = 160 MeV 9031 1451 254 r_so = 1.1214 fm 9031 1451 255 a_so = 0.59 fm 9031 1451 256 Coulomb: 9031 1451 257 C_coul = 1.3 9031 1451 258 r_c = 1.2452 fm 9031 1451 259 a_c = 0.545 fm 9031 1451 260 Deformation: 9031 1451 261 beta_2 = 0.213 9031 1451 262 beta_4 = 0.066 9031 1451 263 beta_6 = 0.0015 9031 1451 264 9031 1451 265 * Calculated strength function 9031 1451 266 S0= 0.99e-4 S1= 2.84e-4 R'= 9.83 fm (En=1 keV) 9031 1451 267 -------------------------------------------------- 9031 1451 268 9031 1451 269 Table 2. Level Scheme of Th-229 9031 1451 270 ------------------- 9031 1451 271 No. Ex(MeV) J PI 9031 1451 272 ------------------- 9031 1451 273 0 0.00000 5/2 + * 9031 1451 274 1 0.00001 3/2 + 9031 1451 275 2 0.02100 7/2 + * 9031 1451 276 3 0.02919 5/2 + 9031 1451 277 4 0.04244 7/2 + 9031 1451 278 5 0.06800 13/2 - 9031 1451 279 6 0.07182 7/2 + 9031 1451 280 7 0.07500 11/2 - 9031 1451 281 8 0.09713 9/2 + * 9031 1451 282 9 0.12541 9/2 + 9031 1451 283 10 0.14000 21/2 + 9031 1451 284 11 0.14635 5/2 - 9031 1451 285 12 0.14816 7/2 - 9031 1451 286 13 0.16326 11/2 + * 9031 1451 287 14 0.16453 3/2 - 9031 1451 288 15 0.17360 9/2 - 9031 1451 289 16 0.18700 17/2 + 9031 1451 290 17 0.19571 11/2 + 9031 1451 291 18 0.20200 11/2 + 9031 1451 292 19 0.21234 5/2 + 9031 1451 293 20 0.21716 5/2 - 9031 1451 294 21 0.23480 21/2 - 9031 1451 295 22 0.23736 7/2 - 9031 1451 296 23 0.24160 13/2 + * 9031 1451 297 24 0.25594 23/2 - 9031 1451 298 25 0.26193 1/2 + 9031 1451 299 26 0.28792 7/2 + 9031 1451 300 27 0.28852 3/2 + 9031 1451 301 28 0.30289 7/2 - 9031 1451 302 29 0.31717 5/2 + 9031 1451 303 30 0.32054 5/2 + 9031 1451 304 ------------------- 9031 1451 305 *) Coupled levels in CC calculation 9031 1451 306 9031 1451 307 Table 3. Level density parameters 9031 1451 308 -------------------------------------------------------- 9031 1451 309 Nuclide a* Pair Eshell T E0 Ematch 9031 1451 310 1/MeV MeV MeV MeV MeV MeV 9031 1451 311 -------------------------------------------------------- 9031 1451 312 Th-230 18.6395 1.5825 3.2401 0.4059 -0.4442 4.2813 9031 1451 313 Th-229 17.7702 0.7930 3.2566 0.4327 -1.4313 3.7239 9031 1451 314 Th-228 17.7035 1.5894 3.0590 0.3964 -0.1539 3.9563 9031 1451 315 Th-227 17.6369 0.7965 3.1200 0.4219 -1.2457 3.5201 9031 1451 316 Th-226 17.5702 1.5965 2.8637 0.4068 -0.2170 4.0544 9031 1451 317 -------------------------------------------------------- 9031 1451 318 9031 1451 319 Table 4. Fission barrier parameters 9031 1451 320 ---------------------------------------- 9031 1451 321 Nuclide V_A hw_A V_B hw_B 9031 1451 322 MeV MeV MeV MeV 9031 1451 323 ---------------------------------------- 9031 1451 324 Th-230 6.000 1.040 5.900 0.500 9031 1451 325 Th-229 5.500 0.800 6.000 0.520 9031 1451 326 Th-228 3.900 1.040 6.400 0.600 9031 1451 327 Th-227 4.100 0.800 6.400 0.520 9031 1451 328 Th-226 3.900 1.040 8.200 0.600 9031 1451 329 ---------------------------------------- 9031 1451 330 9031 1451 331 Table 5. Level density above inner saddle 9031 1451 332 -------------------------------------------------------- 9031 1451 333 Nuclide a* Pair Eshell T E0 Ematch 9031 1451 334 1/MeV MeV MeV MeV MeV MeV 9031 1451 335 -------------------------------------------------------- 9031 1451 336 Th-230 19.9772 1.8463 2.6000 0.3178 -0.3511 3.6463 9031 1451 337 Th-229 19.9026 0.9251 2.6000 0.3339 -1.4862 2.9251 9031 1451 338 Th-228 19.8280 1.8543 2.6000 0.3346 -0.5570 3.8543 9031 1451 339 Th-227 19.7533 0.9292 2.6000 0.3352 -1.4822 2.9292 9031 1451 340 Th-226 19.6786 1.8625 2.6000 0.3359 -0.5488 3.8625 9031 1451 341 -------------------------------------------------------- 9031 1451 342 9031 1451 343 Table 6. Level density above outer saddle 9031 1451 344 -------------------------------------------------------- 9031 1451 345 Nuclide a* Pair Eshell T E0 Ematch 9031 1451 346 1/MeV MeV MeV MeV MeV MeV 9031 1451 347 -------------------------------------------------------- 9031 1451 348 Th-230 20.1556 1.8463 -0.2200 0.3610 0.3158 3.6463 9031 1451 349 Th-229 19.9026 0.9251 -0.2600 0.3799 -0.7708 2.9251 9031 1451 350 Th-228 19.8280 1.8543 -0.3000 0.3812 0.1590 3.8543 9031 1451 351 Th-227 19.7533 0.9292 -0.3400 0.3826 -0.7655 2.9292 9031 1451 352 Th-226 19.6786 1.8625 -0.3800 0.3840 0.1685 3.8625 9031 1451 353 -------------------------------------------------------- 9031 1451 354 9031 1451 355 Table 7. Gamma-ray strength function for Th-230 9031 1451 356 -------------------------------------------------------- 9031 1451 357 K0 = 1.502 E0 = 4.500 (MeV) 9031 1451 358 * E1: ER = 11.03 (MeV) EG = 2.71 (MeV) SIG = 302.00 (mb) 9031 1451 359 ER = 13.87 (MeV) EG = 4.77 (MeV) SIG = 449.00 (mb) 9031 1451 360 * M1: ER = 6.69 (MeV) EG = 4.00 (MeV) SIG = 2.80 (mb) 9031 1451 361 * E2: ER = 10.28 (MeV) EG = 3.35 (MeV) SIG = 6.26 (mb) 9031 1451 362 -------------------------------------------------------- 9031 1451 363 9031 1451 364 9031 1451 365 References 9031 1451 366 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9031 1451 367 2) R.J.Tuttle: INDC(NDS)-107/G+Special, P.29 (1979). 9031 1451 368 3) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9031 1451 369 4) R.Waldo et al.: Phys. Rev., C23, 1113 (1981). 9031 1451 370 5) M.C.Brady, T.R.England: Nucl. Sci. Eng., 103, 129 (1989). 9031 1451 371 6) N.I.Kroshkin, JU.S.Zamjatnin: Atomic Energy, 29, 95 (1970) 9031 1451 372 taken from EXFOR. 9031 1451 373 7) A.H.Jaffey, J.L.Lerner: ANL-6600, p.124 (1961) taken from 9031 1451 374 EXFOR. 9031 1451 375 8) V.I.Lebedev,V.I.Kalashnikova: Zhurnal Eksperimental'noi i 9031 1451 376 Teoret. Fiziki, 35, 535 (1958) taken from EXFOR. 9031 1451 377 9) T.Ohsawa: J. Nucl. Radiochem. Sci., 9, 19 (2008). 9031 1451 378 10) G.Audi: Private communication (April 2009). 9031 1451 379 11) J.Katakura et al.: JAERI 1343 (2001). 9031 1451 380 12) T.R.England et al.: LA-11151-MS (1988). 9031 1451 381 13) R.Sher, C.Beck: EPRI NP-1771 (1981). 9031 1451 382 14) S.F.Mughabghab: "Atlas of Neutron Resonances," Elsevier 9031 1451 383 (2006). 9031 1451 384 15) K.Kobayashi, et al.: Nucl. Sci. Eng., 139, 273 (2001). 9031 1451 385 16) R.E.Cote et al.: Bulletin American Phys. Soc., 6, 417(C1) 9031 1451 386 (1961). 9031 1451 387 17) Y.Kikuchi et al.: JAERI-Data/Code 99-025 (1999) in Japanese. 9031 1451 388 18) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9031 1451 389 19) E.Sh.Soukhovitskii et al.: Phys. Rev. C72, 024604 (2005). 9031 1451 390 20) B.M.Gokhberg et al.: Doklady Akademii Nauk, 128(5), 911 9031 1451 391 (1959) 9031 1451 392 21) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9031 1451 393 22) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9031 1451 394 Japanese. 9031 1451 395 23) C.Kalbach: Phys. Rev. C33, 818 (1986). 9031 1451 396 24) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9031 1451 397 25) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9031 1451 398 26) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9031 1451 399 27) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9031 1451 400 28) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9031 1451 401 29) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9031 1451 402 9031 1451 403 1 451 417 19031 1451 404 2 151 4 19031 1451 405 3 4 114 19031 1451 406 3 16 14 19031 1451 407 3 17 9 19031 1451 408 3 18 502 19031 1451 409 3 37 5 19031 1451 410 3 102 598 19031 1451 411 8 4 2 19031 1451 412 8 16 2 19031 1451 413 8 17 2 19031 1451 414 8 18 2 19031 1451 415 8 37 2 19031 1451 416 8 102 2 19031 1451 417 9031 1 099999 9031 0 0 0 9.022900+4 2.270640+2 0 0 1 09031 2151 1 9.022900+4 1.000000+0 0 0 1 09031 2151 2 1.000000-5 8.000000+0 0 0 0 09031 2151 3 2.500000+0 1.000000+0 0 0 0 09031 2151 4 9031 2 099999 9031 0 0 0 9.022900+4 2.270640+2 0 0 0 09031 3 4 1 0.000000+0-1.000000+1 0 0 1 3329031 3 4 2 332 2 9031 3 4 3 9.712248+0 0.000000+0 9.795186+0 8.01640-12 9.815921+0 8.88850-119031 3 4 4 9.816568+0 9.55360-11 9.817216+0 1.02670-10 9.817864+0 1.10310-109031 3 4 5 9.818512+0 1.18500-10 9.819160+0 1.27270-10 9.819808+0 1.36670-109031 3 4 6 9.820456+0 1.46740-10 9.821104+0 1.57520-10 9.821752+0 1.69060-109031 3 4 7 9.822400+0 1.81410-10 9.823048+0 1.94630-10 9.823696+0 2.08780-109031 3 4 8 9.824344+0 2.23910-10 9.824992+0 2.40100-10 9.825640+0 2.57410-109031 3 4 9 9.826288+0 2.75920-10 9.826936+0 2.95710-10 9.827584+0 3.16850-109031 3 4 10 9.828232+0 3.39450-10 9.828880+0 3.63600-10 9.829528+0 3.89390-109031 3 4 11 9.830175+0 4.16940-10 9.830823+0 4.46350-10 9.831471+0 4.77750-109031 3 4 12 9.832119+0 5.11270-10 9.832767+0 5.47040-10 9.833415+0 5.85210-109031 3 4 13 9.834063+0 6.25940-10 9.834711+0 6.69370-10 9.835359+0 7.15690-109031 3 4 14 9.836007+0 7.65070-10 9.836655+0 8.17720-10 9.837303+0 8.73830-109031 3 4 15 9.837951+0 9.33630-10 9.838599+0 9.97340-10 9.839247+0 1.065200-99031 3 4 16 9.839895+0 1.137480-9 9.840543+0 1.214440-9 9.841191+0 1.296380-99031 3 4 17 9.841839+0 1.383600-9 9.842487+0 1.476420-9 9.843135+0 1.575190-99031 3 4 18 9.843783+0 1.680260-9 9.844430+0 1.792030-9 9.845402+0 1.973100-99031 3 4 19 9.846374+0 2.171600-9 9.847346+0 2.389100-9 9.848318+0 2.627340-99031 3 4 20 9.849290+0 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