JENDL-5 (Neutron sublibrary (activation cs)) Bk-249 0 0 0 0 9.724900+4 2.469350+2 0 0 6 19752 1451 1 0.000000+0 1.000000+0 0 0 0 69752 1451 2 1.000000+0 2.000000+7 0 0 10 59752 1451 3 2.936000+2 0.000000+0 4 0 346 149752 1451 4 97-Bk-249 JAEA+ EVAL-FEB10 O.Iwamoto,T.Nakagawa,+ 9752 1451 5 DIST-DEC21 20100323 9752 1451 6 ----JENDL-5 MATERIAL 9752 9752 1451 7 -----INCIDENT NEUTRON DATA 9752 1451 8 ------ENDF-6 FORMAT 9752 1451 9 9752 1451 10 History 9752 1451 11 07-09 New calculation was made with CCONE code. 9752 1451 12 Data were compiled as JENDL/AC-2008/1/. 9752 1451 13 10-02 Data of prompt gamma rays due to fission were given. 9752 1451 14 10-03 Covariance data were given. 9752 1451 15 21-11 revised by O.Iwamoto 9752 1451 16 (MF3/MT19-21,38) deleted 9752 1451 17 (MF8/MT16-18,37,102) JENDL/AD-2017 adopted 9752 1451 18 (MF8/MT4) added 9752 1451 19 9752 1451 20 9752 1451 21 MF= 1 General information 9752 1451 22 MT=452 Number of Neutrons per fission 9752 1451 23 Sum of MT's=455 and 456. 9752 1451 24 9752 1451 25 MT=455 Delayed neutron data 9752 1451 26 (Same as JENDL-3.3) 9752 1451 27 Estimated from Tuttle's systematics/2/. 9752 1451 28 9752 1451 29 MT=456 Number of prompt neutrons per fission 9752 1451 30 (Same as JENDL-3.3) 9752 1451 31 Estimated from Howerton's sytematics/3/. 9752 1451 32 9752 1451 33 MF= 2 Resonance parameters 9752 1451 34 MT=151 9752 1451 35 Resolved resonance parameters (MLBW: 1.0E-5 - 60 eV) 9752 1451 36 (Same as JENDL-3.3) 9752 1451 37 Resonance energies, neutron and radiative capture widths were 9752 1451 38 taken from the experimental data of Benjamin et al./4/ For 9752 1451 39 resonances whose capture width was unknown, the average value 9752 1451 40 of 0.0357 eV/4/ was adopted. Fission width of 0.0002 eV was 9752 1451 41 estimated from the thermal fission cross section of 4 b, 9752 1451 42 which was estimated from the systematics of capture to fission9752 1451 43 ratios by Prince/5/. The parameters of a negative resonance 9752 1451 44 were adjusted so as to reproduce the thermal capture cross 9752 1451 45 section of 710 b/4/. 9752 1451 46 9752 1451 47 Unresolved resonance parameters (60 eV - 30 keV) 9752 1451 48 Parameters (URP) were determined with ASREP code/6/ so as to 9752 1451 49 reproduce the cross sections in this energy region. URP are 9752 1451 50 used only for self-shielding calculations. 9752 1451 51 9752 1451 52 Thermal cross sections and resonance integrals (at 300K) 9752 1451 53 ------------------------------------------------------- 9752 1451 54 0.0253 eV reson. integ.(*) 9752 1451 55 (barns) (barns) 9752 1451 56 ------------------------------------------------------- 9752 1451 57 total 718.9 9752 1451 58 elastic 3.935 9752 1451 59 fission 3.97 10.1 9752 1451 60 capture 711.0 1130 9752 1451 61 ------------------------------------------------------- 9752 1451 62 (*) In the energy range from 0.5 eV to 10 MeV. 9752 1451 63 9752 1451 64 9752 1451 65 MF= 3 Neutron cross sections 9752 1451 66 Cross sections above the resolved resonance region were 9752 1451 67 calculated with CCONE code/7/. 9752 1451 68 9752 1451 69 MT= 1 Total cross section 9752 1451 70 The cross section was calculated with CC OMP of Soukhovitskii 9752 1451 71 et al./8/. 9752 1451 72 9752 1451 73 MT=18 Fission cross section 9752 1451 74 The experimental data of Silbert/9/, Fomushkin et al./10/ and 9752 1451 75 Vorotnikov et al./11/ were used to determine the parameters 9752 1451 76 in the CCONE calculation. 9752 1451 77 9752 1451 78 9752 1451 79 MF= 4 Angular distributions of secondary neutrons 9752 1451 80 MT=2 Elastic scattering 9752 1451 81 Calculated with CCONE code/7/. 9752 1451 82 9752 1451 83 MT=18 Fission 9752 1451 84 Isotropic distributions in the laboratory system were assumed.9752 1451 85 9752 1451 86 9752 1451 87 MF= 5 Energy distributions of secondary neutrons 9752 1451 88 MT=18 Prompt neutrons 9752 1451 89 Calculated with CCONE code/7/. 9752 1451 90 9752 1451 91 9752 1451 92 MF= 6 Energy-angle distributions 9752 1451 93 Calculated with CCONE code/7/. 9752 1451 94 Distributions from fission (MT=18) are not included. 9752 1451 95 9752 1451 96 9752 1451 97 MF=12 Photon production multiplicities 9752 1451 98 MT=18 Fission 9752 1451 99 Calculated from the total energy released by the prompt 9752 1451 100 gamma-rays due to fission which was estimated from its 9752 1451 101 systematics, and the average energy of gamma-rays. 9752 1451 102 9752 1451 103 9752 1451 104 MF=14 Photon angular distributions 9752 1451 105 MT=18 Fission 9752 1451 106 Isotoropic distributions were assumed. 9752 1451 107 9752 1451 108 9752 1451 109 MF=15 Continuous photon energy spectra 9752 1451 110 MT=18 Fission 9752 1451 111 Experimental data measured by Verbinski et al./12/ for 9752 1451 112 Pu-239 thermal fission were adopted. 9752 1451 113 9752 1451 114 9752 1451 115 MF=31 Covariances of average number of neutrons per fission 9752 1451 116 MT=452 Number of neutrons per fission 9752 1451 117 Sum of covariances for MT=455 and MT=456. 9752 1451 118 9752 1451 119 MT=455 9752 1451 120 Error of 15% was assumed. 9752 1451 121 9752 1451 122 MT=456 9752 1451 123 Covariance was obtained by fitting a linear function to the 9752 1451 124 data at 0.0 and 5.0 MeV with an uncertainty of 10%. 9752 1451 125 9752 1451 126 9752 1451 127 MF=32 Covariances of resonance parameters 9752 1451 128 MT=151 Resolved resonance parameterss 9752 1451 129 Format of LCOMP=0 was adopted. 9752 1451 130 9752 1451 131 Uncertainties of parameters were taken from Mughabghab /13/. 9752 1451 132 For the parameters without any information on uncertainty, 9752 1451 133 the following uncertainties were assumed: 9752 1451 134 Resonance energy 0.1 % 9752 1451 135 Neutron width 10 % 9752 1451 136 Capture width 20 % 9752 1451 137 Fission width 50 % 9752 1451 138 9752 1451 139 They were further modified by considering experimental data 9752 1451 140 of the capture cross section at the thermal neutron energy. 9752 1451 141 9752 1451 142 9752 1451 143 MF=33 Covariances of neutron cross sections 9752 1451 144 Covariances were given to all the cross sections by using 9752 1451 145 KALMAN code/14/ and the covariances of model parameters 9752 1451 146 used in the cross-section calculations. 9752 1451 147 9752 1451 148 Covariances of the total, elastic scattering, fission and 9752 1451 149 capture cross sections were determined by considering the 9752 1451 150 experimental data. 9752 1451 151 9752 1451 152 In the resolved resonance region, the following standard 9752 1451 153 deviations were added to the contributions from resonance 9752 1451 154 parameters: 9752 1451 155 Elastic scattering 20 % 9752 1451 156 9752 1451 157 9752 1451 158 MF=34 Covariances for Angular Distributions 9752 1451 159 MT=2 Elastic scattering 9752 1451 160 Covariances were given only to P1 components. 9752 1451 161 9752 1451 162 9752 1451 163 MF=35 Covariances for Energy Distributions 9752 1451 164 MT=18 Fission spectra 9752 1451 165 Estimated with CCONE and KALMAN codes. 9752 1451 166 9752 1451 167 9752 1451 168 ***************************************************************** 9752 1451 169 Calculation with CCONE code 9752 1451 170 ***************************************************************** 9752 1451 171 9752 1451 172 Models and parameters used in the CCONE/7/ calculation 9752 1451 173 1) Coupled channel optical model 9752 1451 174 Levels in the rotational band were included. Optical model 9752 1451 175 potential and coupled levels are shown in Table 1. 9752 1451 176 9752 1451 177 2) Two-component exciton model/15/ 9752 1451 178 * Global parametrization of Koning-Duijvestijn/16/ 9752 1451 179 was used. 9752 1451 180 * Gamma emission channel/17/ was added to simulate direct 9752 1451 181 and semi-direct capture reaction. 9752 1451 182 9752 1451 183 3) Hauser-Feshbach statistical model 9752 1451 184 * Moldauer width fluctuation correction/18/ was included. 9752 1451 185 * Neutron, gamma and fission decay channel were included. 9752 1451 186 * Transmission coefficients of neutrons were taken from 9752 1451 187 coupled channel calculation in Table 1. 9752 1451 188 * The level scheme of the target is shown in Table 2. 9752 1451 189 * Level density formula of constant temperature and Fermi-gas 9752 1451 190 model were used with shell energy correction and collective 9752 1451 191 enhancement factor. Parameters are shown in Table 3. 9752 1451 192 * Fission channel: 9752 1451 193 Double humped fission barriers were assumed. 9752 1451 194 Fission barrier penetrabilities were calculated with 9752 1451 195 Hill-Wheler formula/19/. Fission barrier parameters were 9752 1451 196 shown in Table 4. Transition state model was used and 9752 1451 197 continuum levels are assumed above the saddles. The level 9752 1451 198 density parameters for inner and outer saddles are shown in 9752 1451 199 Tables 5 and 6, respectively. 9752 1451 200 * Gamma-ray strength function of Kopecky et al/20/,/21/ 9752 1451 201 was used. The prameters are shown in Table 7. 9752 1451 202 9752 1451 203 9752 1451 204 ------------------------------------------------------------------9752 1451 205 Tables 9752 1451 206 ------------------------------------------------------------------9752 1451 207 9752 1451 208 Table 1. Coupled channel calculation 9752 1451 209 -------------------------------------------------- 9752 1451 210 * rigid rotor model was applied 9752 1451 211 * coupled levels = 0,3,5,7,9 (see Table 2) 9752 1451 212 * optical potential parameters /8/ 9752 1451 213 Volume: 9752 1451 214 V_0 = 49.97 MeV 9752 1451 215 lambda_HF = 0.01004 1/MeV 9752 1451 216 C_viso = 15.9 MeV 9752 1451 217 A_v = 12.04 MeV 9752 1451 218 B_v = 81.36 MeV 9752 1451 219 E_a = 385 MeV 9752 1451 220 r_v = 1.2568 fm 9752 1451 221 a_v = 0.633 fm 9752 1451 222 Surface: 9752 1451 223 W_0 = 17.2 MeV 9752 1451 224 B_s = 11.19 MeV 9752 1451 225 C_s = 0.01361 1/MeV 9752 1451 226 C_wiso = 23.5 MeV 9752 1451 227 r_s = 1.1803 fm 9752 1451 228 a_s = 0.601 fm 9752 1451 229 Spin-orbit: 9752 1451 230 V_so = 5.75 MeV 9752 1451 231 lambda_so = 0.005 1/MeV 9752 1451 232 W_so = -3.1 MeV 9752 1451 233 B_so = 160 MeV 9752 1451 234 r_so = 1.1214 fm 9752 1451 235 a_so = 0.59 fm 9752 1451 236 Coulomb: 9752 1451 237 C_coul = 1.3 9752 1451 238 r_c = 1.2452 fm 9752 1451 239 a_c = 0.545 fm 9752 1451 240 Deformation: 9752 1451 241 beta_2 = 0.213 9752 1451 242 beta_4 = 0.066 9752 1451 243 beta_6 = 0.0015 9752 1451 244 9752 1451 245 * Calculated strength function 9752 1451 246 S0= 1.35e-4 S1= 2.88e-4 R'= 9.05 fm (En=1 keV) 9752 1451 247 -------------------------------------------------- 9752 1451 248 9752 1451 249 Table 2. Level Scheme of Bk-249 9752 1451 250 ------------------- 9752 1451 251 No. Ex(MeV) J PI 9752 1451 252 ------------------- 9752 1451 253 0 0.00000 7/2 + * 9752 1451 254 1 0.00878 3/2 - 9752 1451 255 2 0.03964 5/2 - 9752 1451 256 3 0.04179 9/2 + * 9752 1451 257 4 0.08261 7/2 - 9752 1451 258 5 0.09374 11/2 + * 9752 1451 259 6 0.13773 9/2 - 9752 1451 260 7 0.15583 13/2 + * 9752 1451 261 8 0.20457 11/2 - 9752 1451 262 9 0.22925 15/2 + * 9752 1451 263 10 0.28315 13/2 - 9752 1451 264 ------------------- 9752 1451 265 *) Coupled levels in CC calculation 9752 1451 266 9752 1451 267 Table 3. Level density parameters 9752 1451 268 -------------------------------------------------------- 9752 1451 269 Nuclide a* Pair Eshell T E0 Ematch 9752 1451 270 1/MeV MeV MeV MeV MeV MeV 9752 1451 271 -------------------------------------------------------- 9752 1451 272 Bk-250 19.1626 0.0000 1.8225 0.3135 -0.9672 1.3776 9752 1451 273 Bk-249 19.0966 0.7605 1.6239 0.3821 -0.8440 2.9526 9752 1451 274 Bk-248 19.0305 0.0000 1.2435 0.2843 -0.6878 1.0000 9752 1451 275 Bk-247 18.9645 0.7635 1.3193 0.3836 -0.7996 2.9113 9752 1451 276 Bk-246 18.8984 0.0000 0.9401 0.2886 -0.6877 1.0000 9752 1451 277 -------------------------------------------------------- 9752 1451 278 9752 1451 279 Table 4. Fission barrier parameters 9752 1451 280 ---------------------------------------- 9752 1451 281 Nuclide V_A hw_A V_B hw_B 9752 1451 282 MeV MeV MeV MeV 9752 1451 283 ---------------------------------------- 9752 1451 284 Bk-250 6.200 0.650 5.550 0.450 9752 1451 285 Bk-249 6.200 0.800 4.800 0.520 9752 1451 286 Bk-248 6.200 0.650 5.550 0.450 9752 1451 287 Bk-247 6.200 0.800 4.800 0.520 9752 1451 288 Bk-246 6.200 0.650 5.550 0.450 9752 1451 289 ---------------------------------------- 9752 1451 290 9752 1451 291 Table 5. Level density above inner saddle 9752 1451 292 -------------------------------------------------------- 9752 1451 293 Nuclide a* Pair Eshell T E0 Ematch 9752 1451 294 1/MeV MeV MeV MeV MeV MeV 9752 1451 295 -------------------------------------------------------- 9752 1451 296 Bk-250 21.4621 0.0000 2.6000 0.3206 -2.4112 2.0000 9752 1451 297 Bk-249 21.3881 0.8872 2.6000 0.3212 -1.5240 2.8872 9752 1451 298 Bk-248 21.3142 0.0000 2.6000 0.3218 -2.4112 2.0000 9752 1451 299 Bk-247 21.2402 0.8908 2.6000 0.3224 -1.5204 2.8908 9752 1451 300 Bk-246 21.1662 0.0000 2.6000 0.3230 -2.4113 2.0000 9752 1451 301 -------------------------------------------------------- 9752 1451 302 9752 1451 303 Table 6. Level density above outer saddle 9752 1451 304 -------------------------------------------------------- 9752 1451 305 Nuclide a* Pair Eshell T E0 Ematch 9752 1451 306 1/MeV MeV MeV MeV MeV MeV 9752 1451 307 -------------------------------------------------------- 9752 1451 308 Bk-250 21.4621 0.0000 1.0000 0.3495 -1.7100 2.0000 9752 1451 309 Bk-249 21.3881 0.8872 0.9600 0.3506 -0.8222 2.8872 9752 1451 310 Bk-248 21.3142 0.0000 0.9200 0.3517 -1.7088 2.0000 9752 1451 311 Bk-247 21.2402 0.8908 0.8800 0.3529 -0.8175 2.8908 9752 1451 312 Bk-246 21.1662 0.0000 0.8400 0.3540 -1.7077 2.0000 9752 1451 313 -------------------------------------------------------- 9752 1451 314 9752 1451 315 Table 7. Gamma-ray strength function for Bk-250 9752 1451 316 -------------------------------------------------------- 9752 1451 317 K0 = 1.500 E0 = 4.500 (MeV) 9752 1451 318 * E1: ER = 11.37 (MeV) EG = 2.70 (MeV) SIG = 254.23 (mb) 9752 1451 319 ER = 14.27 (MeV) EG = 4.17 (MeV) SIG = 508.46 (mb) 9752 1451 320 * M1: ER = 6.51 (MeV) EG = 4.00 (MeV) SIG = 1.82 (mb) 9752 1451 321 * E2: ER = 10.00 (MeV) EG = 3.11 (MeV) SIG = 7.20 (mb) 9752 1451 322 -------------------------------------------------------- 9752 1451 323 9752 1451 324 9752 1451 325 References 9752 1451 326 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9752 1451 327 2) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9752 1451 328 3) R.J.Howerton: Nucl. Sci. Eng., 62, 438 (1977). 9752 1451 329 4) R.W.Benjamin et al.: Nucl. Sci. Eng., 85, 261 (1983). 9752 1451 330 5) A.Prince: Trans. Am. Nucl. Soc., 10, 228 (1967). 9752 1451 331 6) Y.Kikuchi et al.: JAERI-Data/Code 99-025 (1999) in Japanese. 9752 1451 332 7) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9752 1451 333 8) E.Sh.Soukhovitskii et al.: Phys. Rev. C72, 024604 (2005). 9752 1451 334 9) M.G.Silbert: Nucl. Sci. Eng., 63, 198 (1977). 9752 1451 335 10) E.F.Fomushkin et al.: Yadernaya Fizika, 14, 73 (1971). 9752 1451 336 11) P.E.Vorotnikov et al.: Nucl. Phys., A150, 56 (1970). 9752 1451 337 12) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9752 1451 338 13) S.F.Mughabghab: "Atlas of Neutron Resonances," Elsevier 9752 1451 339 (2006). 9752 1451 340 14) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9752 1451 341 Japanese. 9752 1451 342 15) C.Kalbach: Phys. Rev. C33, 818 (1986). 9752 1451 343 16) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9752 1451 344 17) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9752 1451 345 18) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9752 1451 346 19) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9752 1451 347 20) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9752 1451 348 21) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9752 1451 349 9752 1451 350 1 451 364 19752 1451 351 2 151 4 19752 1451 352 3 4 30 19752 1451 353 3 16 13 19752 1451 354 3 17 9 19752 1451 355 3 18 1935 19752 1451 356 3 37 5 19752 1451 357 3 102 1960 19752 1451 358 8 4 2 19752 1451 359 8 16 2 19752 1451 360 8 17 2 19752 1451 361 8 18 2 19752 1451 362 8 37 2 19752 1451 363 8 102 2 19752 1451 364 9752 1 099999 9752 0 0 0 9.724900+4 2.469350+2 0 0 1 09752 2151 1 9.724900+4 1.000000+0 0 0 1 09752 2151 2 1.000000-5 6.000000+1 0 0 0 09752 2151 3 3.500000+0 7.738940-1 0 0 0 09752 2151 4 9752 2 099999 9752 0 0 0 9.724900+4 2.469350+2 0 0 0 09752 3 4 1 0.000000+0-8.780000+3 0 0 1 799752 3 4 2 79 2 9752 3 4 3 8.815560+3 0.000000+0 1.000000+4 2.484360-2 2.000000+4 8.258840-29752 3 4 4 3.000000+4 1.180580-1 3.980050+4 1.422240-1 4.195920+4 2.381809-19752 3 4 5 5.000000+4 5.484910-1 7.000000+4 8.644660-1 8.294450+4 9.988810-19752 3 4 6 9.411960+4 1.254073+0 1.000000+5 1.344532+0 1.108930+5 1.456405+09752 3 4 7 1.200000+5 1.549964+0 1.382880+5 1.691335+0 1.400000+5 1.735786+09752 3 4 8 1.564610+5 1.890958+0 1.700000+5 1.993070+0 2.000000+5 2.180936+09752 3 4 9 2.053980+5 2.197733+0 2.301780+5 2.289307+0 2.500000+5 2.346705+09752 3 4 10 2.842970+5 2.438613+0 3.000000+5 2.480840+0 4.000000+5 2.589644+09752 3 4 11 5.000000+5 2.810061+0 6.000000+5 2.893780+0 7.000000+5 2.986229+09752 3 4 12 8.000000+5 2.997903+0 9.000000+5 2.968061+0 1.000000+6 2.888738+09752 3 4 13 1.100000+6 2.756318+0 1.200000+6 2.618181+0 1.300000+6 2.509657+09752 3 4 14 1.400000+6 2.445787+0 1.500000+6 2.403264+0 1.600000+6 2.380418+09752 3 4 15 1.700000+6 2.354268+0 1.800000+6 2.334444+0 1.900000+6 2.305816+09752 3 4 16 2.000000+6 2.279494+0 2.100000+6 2.245619+0 2.300000+6 2.178464+09752 3 4 17 2.500000+6 2.108019+0 2.700000+6 2.040140+0 3.000000+6 1.948519+09752 3 4 18 3.500000+6 1.860602+0 4.000000+6 1.802891+0 4.500000+6 1.786632+09752 3 4 19 5.000000+6 1.780953+0 5.500000+6 1.769329+0 6.000000+6 1.623294+09752 3 4 20 6.500000+6 1.287894+0 7.000000+6 9.878594-1 7.500000+6 7.691870-19752 3 4 21 8.000000+6 6.309583-1 8.500000+6 5.412882-1 9.000000+6 4.856501-19752 3 4 22 9.500000+6 4.469439-1 1.000000+7 4.190758-1 1.050000+7 3.967490-19752 3 4 23 1.100000+7 3.781920-1 1.150000+7 3.618134-1 1.200000+7 3.466440-19752 3 4 24 1.250000+7 3.327958-1 1.300000+7 3.193733-1 1.350000+7 3.072037-19752 3 4 25 1.400000+7 2.951921-1 1.450000+7 2.843505-1 1.500000+7 2.737383-19752 3 4 26 1.550000+7 2.641596-1 1.600000+7 2.548141-1 1.650000+7 2.464349-19752 3 4 27 1.700000+7 2.382231-1 1.750000+7 2.307947-1 1.800000+7 2.235746-19752 3 4 28 1.850000+7 2.170305-1 1.900000+7 2.106227-1 1.950000+7 2.048305-19752 3 4 29 2.000000+7 1.991246-1 9752 3 4 30 9752 3 099999 9.724900+4 2.469350+2 0 0 0 09752 3 16 1 -6.301700+6-6.301700+6 0 0 1 299752 3 16 2 29 2 9752 3 16 3 6.327210+6 0.000000+0 6.500000+6 5.426800-4 7.000000+6 2.829690-29752 3 16 4 7.500000+6 1.036590-1 8.000000+6 1.991560-1 8.500000+6 2.874840-19752 3 16 5 9.000000+6 3.568890-1 9.500000+6 3.940200-1 1.000000+7 4.208870-19752 3 16 6 1.050000+7 4.354520-1 1.100000+7 4.381510-1 1.150000+7 4.418450-19752 3 16 7 1.200000+7 4.427190-1 1.250000+7 4.423800-1 1.300000+7 4.246250-19752 3 16 8 1.350000+7 3.881860-1 1.400000+7 3.436680-1 1.450000+7 2.973920-19752 3 16 9 1.500000+7 2.529970-1 1.550000+7 2.180680-1 1.600000+7 1.884710-19752 3 16 10 1.650000+7 1.662030-1 1.700000+7 1.488790-1 1.750000+7 1.378070-19752 3 16 11 1.800000+7 1.279150-1 1.850000+7 1.201550-1 1.900000+7 1.138910-19752 3 16 12 1.950000+7 1.074180-1 2.000000+7 1.030650-1 9752 3 16 13 9752 3 099999 9.724900+4 2.469350+2 0 0 0 09752 3 17 1 -1.178360+7-1.178360+7 0 0 1 179752 3 17 2 17 2 9752 3 17 3 1.183140+7 0.000000+0 1.250000+7 1.511000-3 1.300000+7 8.648040-39752 3 17 4 1.350000+7 2.053160-2 1.400000+7 3.163270-2 1.450000+7 4.167290-29752 3 17 5 1.500000+7 5.052070-2 1.550000+7 5.308680-2 1.600000+7 5.920940-29752 3 17 6 1.650000+7 6.046000-2 1.700000+7 6.234640-2 1.750000+7 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5.991200+1 1.350402+19752 3102 1852 5.991934+1 1.466885+1 5.993034+1 1.652239+1 5.994134+1 1.849435+19752 3102 1853 5.995233+1 2.057183+1 5.996700+1 2.347815+1 5.998900+1 2.803781+19752 3102 1854 6.002645+1 3.590211+1 6.004629+1 3.986903+1 6.006613+1 4.354814+19752 3102 1855 6.007936+1 4.579701+1 6.009259+1 4.786083+1 6.010581+1 4.972799+19752 3102 1856 6.012565+1 5.215033+1 6.014549+1 5.412669+1 6.016533+1 5.568801+19752 3102 1857 6.018517+1 5.688205+1 6.020501+1 5.776574+1 6.022485+1 5.839825+19752 3102 1858 6.025130+1 5.894688+1 6.029098+1 5.935928+1 6.037034+1 5.954785+19752 3102 1859 6.039679+1 5.954811+1 6.572186+1 5.672329+1 7.098438+1 5.424440+19752 3102 1860 7.775375+1 5.140542+1 8.397970+1 4.912136+1 9.198836+1 4.655409+19752 3102 1861 1.014666+2 4.394181+1 1.103643+2 4.176042+1 1.192015+2 3.986043+19752 3102 1862 1.283809+2 3.811492+1 1.386607+2 3.637589+1 1.546034+2 3.406246+19752 3102 1863 1.669911+2 3.251386+1 1.782845+2 3.126568+1 1.898813+2 3.009461+19752 3102 1864 2.071340+2 2.852992+1 2.304623+2 2.669790+1 2.506719+2 2.534782+19752 3102 1865 2.675101+2 2.435618+1 2.849108+2 2.342048+1 3.063785+2 2.238038+19752 3102 1866 3.265799+2 2.149344+1 3.502180+2 2.056236+1 3.916867+2 1.915989+19752 3102 1867 4.212186+2 1.829901+1 4.513602+2 1.752334+1 4.773759+2 1.691290+19752 3102 1868 5.084526+2 1.624921+1 5.515518+2 1.542047+1 5.916136+2 1.474215+19752 3102 1869 6.334366+2 1.411595+1 6.652867+2 1.367771+1 7.185579+2 1.301429+19752 3102 1870 7.913081+2 1.222721+1 8.606992+2 1.158526+1 9.428932+2 1.092361+19752 3102 1871 1.014108+3 1.042685+1 1.103037+3 9.879722+0 1.192994+3 9.396602+09752 3102 1872 1.283809+3 8.966155+0 1.376962+3 8.572539+0 1.482403+3 8.178122+09752 3102 1873 1.606160+3 7.768779+0 1.734854+3 7.394152+0 1.899400+3 6.979126+09752 3102 1874 2.028216+3 6.693646+0 2.148713+3 6.462441+0 2.331555+3 6.142934+09752 3102 1875 2.509507+3 5.870144+0 2.675101+3 5.645504+0 2.822958+3 5.459748+09752 3102 1876 3.021162+3 5.236214+0 3.265799+3 5.007346+0 3.550984+3 4.770074+09752 3102 1877 3.916867+3 4.509395+0 4.241691+3 4.307010+0 4.684605+3 4.067334+09752 3102 1878 5.035271+3 3.903180+0 5.554089+3 3.708566+0 5.916136+3 3.589013+09752 3102 1879 6.457788+3 3.427731+0 7.049379+3 3.274236+0 7.626137+3 3.155737+09752 3102 1880 8.257148+3 3.038659+0 9.588751+3 2.817032+0 1.007054+4 2.746030+09752 3102 1881 1.113694+4 2.627983+0 1.218359+4 2.526474+0 1.341605+4 2.421622+09752 3102 1882 1.505995+4 2.302330+0 1.648138+4 2.212812+0 1.861627+4 2.097887+09752 3102 1883 2.028216+4 2.021233+0 2.260424+4 1.932010+0 2.438973+4 1.872237+09752 3102 1884 2.714438+4 1.790364+0 3.063785+4 1.702050+0 3.311172+4 1.647936+09752 3102 1885 3.630238+4 1.585000+0 3.980050+4 1.524280+0 4.225518+4 1.439555+09752 3102 1886 4.445772+4 1.374925+0 4.714865+4 1.302836+0 5.000000+4 1.234488+09752 3102 1887 5.288192+4 1.185201+0 5.692275+4 1.122479+0 6.057770+4 1.072110+09752 3102 1888 6.558617+4 1.011043+0 7.049379+4 9.588908-1 7.458604+4 9.212250-19752 3102 1889 7.892931+4 8.844701-1 8.294450+4 8.531842-1 8.681504+4 8.106045-19752 3102 1890 9.039578+4 7.740880-1 9.411960+4 7.391758-1 1.000000+5 6.934731-19752 3102 1891 1.061401+5 6.535208-1 1.113808+5 6.229896-1 1.156102+5 6.001064-19752 3102 1892 1.200000+5 5.778470-1 1.269753+5 5.504529-1 1.329742+5 5.287471-19752 3102 1893 1.382880+5 5.108066-1 1.400000+5 4.966763-1 1.490458+5 4.660024-19752 3102 1894 1.564610+5 4.432622-1 1.653910+5 4.208840-1 1.700000+5 4.100126-19752 3102 1895 1.808137+5 3.925925-1 1.908299+5 3.777610-1 2.041098+5 3.591246-19752 3102 1896 2.189691+5 3.371256-1 2.301780+5 3.220641-1 2.483504+5 3.052416-19752 3102 1897 2.535270+5 3.015067-1 2.741730+5 2.887095-1 2.863025+5 2.819403-19752 3102 1898 3.021162+5 2.746441-1 3.269191+5 2.602992-1 3.450374+5 2.509677-19752 3102 1899 3.715128+5 2.385946-1 4.028216+5 2.258423-1 4.289155+5 2.169619-19752 3102 1900 4.631072+5 2.064532-1 5.000000+5 1.964497-1 5.307007+5 1.860873-19752 3102 1901 5.608325+5 1.769771-1 5.903410+5 1.688778-1 6.084649+5 1.643534-19752 3102 1902 6.368322+5 1.580629-1 6.700038+5 1.512586-1 7.049379+5 1.445258-19752 3102 1903 7.339734+5 1.385570-1 7.662947+5 1.323790-1 8.355307+5 1.201689-19752 3102 1904 8.671877+5 1.149487-1 9.063487+5 1.088701-1 9.370574+5 1.038270-19752 3102 1905 9.680410+5 9.906931-2 1.000000+6 9.452060-2 1.031338+6 8.961469-29752 3102 1906 1.068866+6 8.420322-2 1.132120+6 7.579821-2 1.161477+6 7.213461-29752 3102 1907 1.208465+6 6.687051-2 1.241527+6 6.351215-2 1.270458+6 6.074932-29752 3102 1908 1.300000+6 5.809668-2 1.349074+6 5.432326-2 1.400000+6 5.079495-29752 3102 1909 1.459360+6 4.720079-2 1.500000+6 4.492934-2 1.560121+6 4.194986-29752 3102 1910 1.649242+6 3.788763-2 1.723984+6 3.483564-2 1.761626+6 3.338485-29752 3102 1911 1.849324+6 3.018422-2 1.949359+6 2.686924-2 2.049390+6 2.386359-29752 3102 1912 2.148307+6 2.112127-2 2.185266+6 2.016586-2 2.241899+6 1.881317-29752 3102 1913 2.348448+6 1.646793-2 2.385452+6 1.569958-2 2.442054+6 1.461376-29752 3102 1914 2.548566+6 1.274332-2 2.585609+6 1.213439-2 2.642186+6 1.127513-29752 3102 1915 2.751648+6 9.753546-3 2.787025+6 9.297435-3 2.823881+6 8.838454-39752 3102 1916 2.883270+6 8.170350-3 2.920078+6 7.789460-3 2.949385+6 7.495369-39752 3102 1917 3.014521+6 6.886696-3 3.050410+6 6.553903-3 3.084258+6 6.249289-39752 3102 1918 3.133397+6 5.844600-3 3.177035+6 5.512055-3 3.232833+6 5.121793-39752 3102 1919 3.272874+6 4.864406-3 3.310735+6 4.628997-3 3.357069+6 4.364368-39752 3102 1920 3.392245+6 4.175873-3 3.445701+6 3.908285-3 3.558910+6 3.384180-39752 3102 1921 3.611270+6 3.161572-3 3.657715+6 2.978836-3 3.717029+6 2.764626-39752 3102 1922 3.735213+6 2.701630-3 3.799720+6 2.494493-3 3.848829+6 2.349629-39752 3102 1923 3.886078+6 2.246531-3 3.942627+6 2.100302-3 4.000000+6 1.963592-39752 3102 1924 4.059327+6 1.833222-3 4.111960+6 1.726268-3 4.179183+6 1.600977-39752 3102 1925 4.199793+6 1.564144-3 4.272913+6 1.443105-3 4.328587+6 1.358511-39752 3102 1926 4.370818+6 1.298338-3 4.434939+6 1.213037-3 4.500000+6 1.133342-39752 3102 1927 4.559657+6 1.067744-3 4.635878+6 9.908550-4 4.659251+6 9.682450-49752 3102 1928 4.742197+6 8.939070-4 4.805374+6 8.419230-4 4.853308+6 8.049280-49752 3102 1929 4.926108+6 7.524620-4 5.000000+6 7.034170-4 5.086437+6 6.573100-49752 3102 1930 5.149015+6 6.264730-4 5.207080+6 5.987260-4 5.306038+6 5.557440-49752 3102 1931 5.415989+6 5.121440-4 5.500000+6 4.817800-4 5.620951+6 4.586110-49752 3102 1932 5.807384+6 4.259320-4 6.000000+6 3.955840-4 6.500000+6 3.851790-49752 3102 1933 7.000000+6 4.194650-4 7.500000+6 4.729160-4 7.800608+6 5.192220-49752 3102 1934 8.000000+6 5.510630-4 8.304381+6 6.089000-4 8.500000+6 6.476100-49752 3102 1935 8.808126+6 7.190220-4 9.063487+6 7.801390-4 9.377074+6 8.539150-49752 3102 1936 9.500000+6 8.835920-4 1.000000+7 9.888840-4 1.014108+7 1.012207-39752 3102 1937 1.028415+7 1.035859-3 1.042925+7 1.059844-3 1.050000+7 1.071540-39752 3102 1938 1.064814+7 1.084209-3 1.079836+7 1.097056-3 1.095071+7 1.110085-39752 3102 1939 1.100000+7 1.114300-3 1.115519+7 1.117084-3 1.131257+7 1.119908-39752 3102 1940 1.147217+7 1.122771-3 1.150000+7 1.123270-3 1.166224+7 1.118584-39752 3102 1941 1.182678+7 1.113833-3 1.199363+7 1.109014-3 1.200000+7 1.108830-39752 3102 1942 1.216930+7 1.098652-3 1.234099+7 1.088330-3 1.250000+7 1.078770-39752 3102 1943 1.267635+7 1.067268-3 1.285519+7 1.055604-3 1.300000+7 1.046160-39752 3102 1944 1.318341+7 1.026230-3 1.336940+7 1.006018-3 1.350000+7 9.918260-49752 3102 1945 1.369046+7 9.567800-4 1.374773+7 9.462420-4 1.394169+7 9.128060-49752 3102 1946 1.400000+7 9.027530-4 1.419751+7 8.662970-4 1.424781+7 8.570140-49752 3102 1947 1.444882+7 8.224040-4 1.450000+7 8.135920-4 1.470457+7 7.752630-49752 3102 1948 1.474788+7 7.671480-4 1.495595+7 7.310070-4 1.500000+7 7.233550-49752 3102 1949 1.521162+7 6.878430-4 1.524795+7 6.817470-4 1.546307+7 6.482780-49752 3102 1950 1.550000+7 6.425320-4 1.571868+7 6.110990-4 1.574802+7 6.068810-49752 3102 1951 1.597020+7 5.771910-4 1.600000+7 5.732080-4 1.622573+7 5.465300-49752 3102 1952 1.624808+7 5.438890-4 1.647731+7 5.185750-4 1.650000+7 5.160700-49752 3102 1953 1.673279+7 4.932530-4 1.674813+7 4.917490-4 1.698442+7 4.700080-49752 3102 1954 1.700000+7 4.685740-4 1.723984+7 4.490370-4 1.724819+7 4.483570-49752 3102 1955 1.749153+7 4.296640-4 1.750000+7 4.290130-4 1.774689+7 4.098520-49752 3102 1956 1.774824+7 4.097470-4 1.799864+7 3.914470-4 1.800000+7 3.913470-49752 3102 1957 1.825395+7 3.822090-4 1.850000+7 3.733560-4 1.876100+7 3.602440-49752 3102 1958 1.900000+7 3.482380-4 1.926806+7 3.362610-4 1.950000+7 3.258980-49752 3102 1959 1.977511+7 3.203840-4 2.000000+7 3.158770-4 9752 3102 1960 9752 3 099999 9752 0 0 0 9.724900+4 2.469350+2 0 0 1 19752 8 4 1 9.724900+4 0.000000+0 3 0 0 09752 8 4 2 9752 8 099999 9.724900+4 2.469350+2 0 0 1 19752 8 16 1 9.724800+4 0.000000+0 3 0 0 09752 8 16 2 9752 8 099999 9.724900+4 2.469350+2 0 0 1 19752 8 17 1 9.724700+4 0.000000+0 3 0 0 09752 8 17 2 9752 8 099999 9.724900+4 2.469350+2 0 0 1 19752 8 18 1 0.000000+0 0.000000+0 3 0 0 09752 8 18 2 9752 8 099999 9.724900+4 2.469350+2 0 0 1 19752 8 37 1 9.724600+4 0.000000+0 3 0 0 09752 8 37 2 9752 8 099999 9.724900+4 2.469350+2 0 0 1 19752 8102 1 9.725000+4 0.000000+0 3 0 0 09752 8102 2 9752 8 099999 9752 0 0 0 0 0 0 0 -1 0 0 0