JENDL-5 (Neutron sublibrary (activation cs)) Es-253 0 0 0 0 9.925300+4 2.509110+2 0 0 6 19913 1451 1 0.000000+0 1.000000+0 0 0 0 69913 1451 2 1.000000+0 2.000000+7 0 0 10 59913 1451 3 2.936000+2 0.000000+0 4 0 301 149913 1451 4 99-Es-253 JAEA+ EVAL-FEB10 O.Iwamoto, T.Nakagawa, et al. 9913 1451 5 DIST-DEC21 20100318 9913 1451 6 ----JENDL-5 MATERIAL 9913 9913 1451 7 -----INCIDENT NEUTRON DATA 9913 1451 8 ------ENDF-6 FORMAT 9913 1451 9 9913 1451 10 History 9913 1451 11 07-10 Theoretical calculation was performed with CCONE code. 9913 1451 12 07-12 Data were compiled as JENDL/AC-2008/1/. 9913 1451 13 10-02 Data of prompt gamma rays due to fission were given. 9913 1451 14 10-03 Covariance data were given. 9913 1451 15 21-11 revised by O.Iwamoto 9913 1451 16 (MF3/MT19-21,38) deleted 9913 1451 17 (MF8/MT16-18,37,102) JENDL/AD-2017 adopted 9913 1451 18 (MF8/MT4) added 9913 1451 19 (MF9/MT102) JENDL/AD-2017 adopted 9913 1451 20 9913 1451 21 9913 1451 22 MF=1 General information 9913 1451 23 MT=452 Number of Neutrons per fission 9913 1451 24 Sum of MT's=455 and 456. 9913 1451 25 9913 1451 26 MT=455 Delayed neutron data 9913 1451 27 Estimated from systematics by Tuttle/2/, Benedetti et al./3/ 9913 1451 28 and Waldo et al./4/ 9913 1451 29 9913 1451 30 MT=456 Number of prompt neutrons per fission 9913 1451 31 Estimated from Howerton's systematics/5/. 9913 1451 32 9913 1451 33 9913 1451 34 MF= 2 Resonance parameters 9913 1451 35 MT=151 9913 1451 36 Resolved resonance parameters (MLBW, 1.0E-5 - 1.0 eV) 9913 1451 37 A hypothetical resonance was assumed at 0.7 eV to reproduce 9913 1451 38 a capture resonance integral of 3800 b /6/ 9913 1451 39 9913 1451 40 Thermal cross sections and resonance integrals (at 300K) 9913 1451 41 ------------------------------------------------------- 9913 1451 42 0.0253 eV reson. integ.(*) 9913 1451 43 (barns) (barns) 9913 1451 44 ------------------------------------------------------- 9913 1451 45 total 193.6 9913 1451 46 elastic 7.134 9913 1451 47 fission 2.502 4.88 9913 1451 48 capture 183.9 3820 9913 1451 49 ------------------------------------------------------- 9913 1451 50 (*) In the energy range from 0.5 eV to 10 MeV. 9913 1451 51 9913 1451 52 9913 1451 53 MF= 3 Neutron cross sections 9913 1451 54 Cross sections above 1 eV were calculated with CCONE code/7/. 9913 1451 55 9913 1451 56 MT= 1 Total cross section 9913 1451 57 The cross section was calculated with CC OMP of Soukhovitskii 9913 1451 58 et al./8/ 9913 1451 59 9913 1451 60 9913 1451 61 MF= 4 Angular distributions of secondary neutrons 9913 1451 62 MT=2 Elastic scattering 9913 1451 63 Calculated with CCONE code/7/. 9913 1451 64 9913 1451 65 MT=18 Fission 9913 1451 66 Isotropic distributions in the laboratory system were assumed.9913 1451 67 9913 1451 68 9913 1451 69 MF= 5 Energy distributions of secondary neutrons 9913 1451 70 MT=18 Prompt netrons 9913 1451 71 Calculated with CCONE code/7/. 9913 1451 72 9913 1451 73 9913 1451 74 MF= 6 Energy-angle distributions 9913 1451 75 Calculated with CCONE code/7/. 9913 1451 76 Distributions from fission (MT=18) are not included. 9913 1451 77 9913 1451 78 9913 1451 79 MF=12 Photon production multiplicities 9913 1451 80 MT=18 Fission 9913 1451 81 Calculated from the total energy released by the prompt 9913 1451 82 gamma-rays due to fission which was estimated from its 9913 1451 83 systematics, and the average energy of gamma-rays. 9913 1451 84 9913 1451 85 9913 1451 86 MF=14 Photon angular distributions 9913 1451 87 MT=18 Fission 9913 1451 88 Isotoropic distributions were assumed. 9913 1451 89 9913 1451 90 9913 1451 91 MF=15 Continuous photon energy spectra 9913 1451 92 MT=18 Fission 9913 1451 93 Experimental data measured by Verbinski et al./9/ for 9913 1451 94 Pu-239 thermal fission were adopted. 9913 1451 95 9913 1451 96 9913 1451 97 MF=31 Covariances of average number of neutrons per fission 9913 1451 98 MT=452 Number of neutrons per fission 9913 1451 99 Sum of covariances for MT=455 and MT=456. 9913 1451 100 9913 1451 101 MT=455 9913 1451 102 Error of 15% was assumed. 9913 1451 103 9913 1451 104 MT=456 9913 1451 105 Covariance was obtained by fitting a linear function to the 9913 1451 106 data at 0.0 and 5.0 MeV with an uncertainty of 10%. 9913 1451 107 9913 1451 108 9913 1451 109 MF=33 Covariances of neutron cross sections 9913 1451 110 Covariances were given to all the cross sections by using 9913 1451 111 KALMAN code/10/ and the covariances of model parameters 9913 1451 112 used in the cross-section calculations. 9913 1451 113 9913 1451 114 9913 1451 115 In the resolved resonance region, the following standard 9913 1451 116 deviations were assumed: 9913 1451 117 Total 10 % 9913 1451 118 Elastic scattering 50 % 9913 1451 119 Fission 50 % 9913 1451 120 Capture 10 % 9913 1451 121 9913 1451 122 9913 1451 123 MF=34 Covariances for Angular Distributions 9913 1451 124 MT=2 Elastic scattering 9913 1451 125 Covariances were given only to P1 components. 9913 1451 126 9913 1451 127 9913 1451 128 MF=35 Covariances for Energy Distributions 9913 1451 129 MT=18 Fission spectra 9913 1451 130 Estimated with CCONE and KALMAN codes. 9913 1451 131 9913 1451 132 9913 1451 133 ***************************************************************** 9913 1451 134 Calculation with CCONE code 9913 1451 135 ***************************************************************** 9913 1451 136 9913 1451 137 Models and parameters used in the CCONE/7/ calculation 9913 1451 138 1) Coupled channel optical model 9913 1451 139 Levels in the rotational band were included. Optical model 9913 1451 140 potential and coupled levels are shown in Table 1. 9913 1451 141 9913 1451 142 2) Two-component exciton model/11/ 9913 1451 143 * Global parametrization of Koning-Duijvestijn/12/ 9913 1451 144 was used. 9913 1451 145 * Gamma emission channel/13/ was added to simulate direct 9913 1451 146 and semi-direct capture reaction. 9913 1451 147 9913 1451 148 3) Hauser-Feshbach statistical model 9913 1451 149 * Moldauer width fluctuation correction/14/ was included. 9913 1451 150 * Neutron, gamma and fission decay channel were included. 9913 1451 151 * Transmission coefficients of neutrons were taken from 9913 1451 152 coupled channel calculation in Table 1. 9913 1451 153 * The level scheme of the target is shown in Table 2. 9913 1451 154 * Level density formula of constant temperature and Fermi-gas 9913 1451 155 model were used with shell energy correction and collective 9913 1451 156 enhancement factor. Parameters are shown in Table 3. 9913 1451 157 * Fission channel: 9913 1451 158 Double humped fission barriers were assumed. 9913 1451 159 Fission barrier penetrabilities were calculated with 9913 1451 160 Hill-Wheler formula/15/. Fission barrier parameters were 9913 1451 161 shown in Table 4. Transition state model was used and 9913 1451 162 continuum levels are assumed above the saddles. The level 9913 1451 163 density parameters for inner and outer saddles are shown in 9913 1451 164 Tables 5 and 6, respectively. 9913 1451 165 * Gamma-ray strength function of Kopecky et al/16/,/17/ 9913 1451 166 was used. The prameters are shown in Table 7. 9913 1451 167 9913 1451 168 9913 1451 169 ------------------------------------------------------------------9913 1451 170 Tables 9913 1451 171 ------------------------------------------------------------------9913 1451 172 9913 1451 173 Table 1. Coupled channel calculation 9913 1451 174 -------------------------------------------------- 9913 1451 175 * rigid rotor model was applied 9913 1451 176 * coupled levels = 0,1,2 (see Table 2) 9913 1451 177 * optical potential parameters /8/ 9913 1451 178 Volume: 9913 1451 179 V_0 = 49.97 MeV 9913 1451 180 lambda_HF = 0.01004 1/MeV 9913 1451 181 C_viso = 15.9 MeV 9913 1451 182 A_v = 12.04 MeV 9913 1451 183 B_v = 81.36 MeV 9913 1451 184 E_a = 385 MeV 9913 1451 185 r_v = 1.2568 fm 9913 1451 186 a_v = 0.633 fm 9913 1451 187 Surface: 9913 1451 188 W_0 = 17.2 MeV 9913 1451 189 B_s = 11.19 MeV 9913 1451 190 C_s = 0.01361 1/MeV 9913 1451 191 C_wiso = 23.5 MeV 9913 1451 192 r_s = 1.1803 fm 9913 1451 193 a_s = 0.601 fm 9913 1451 194 Spin-orbit: 9913 1451 195 V_so = 5.75 MeV 9913 1451 196 lambda_so = 0.005 1/MeV 9913 1451 197 W_so = -3.1 MeV 9913 1451 198 B_so = 160 MeV 9913 1451 199 r_so = 1.1214 fm 9913 1451 200 a_so = 0.59 fm 9913 1451 201 Coulomb: 9913 1451 202 C_coul = 1.3 9913 1451 203 r_c = 1.2452 fm 9913 1451 204 a_c = 0.545 fm 9913 1451 205 Deformation: 9913 1451 206 beta_2 = 0.213 9913 1451 207 beta_4 = 0.066 9913 1451 208 beta_6 = 0.0015 9913 1451 209 9913 1451 210 * Calculated strength function 9913 1451 211 S0= 1.16e-4 S1= 3.23e-4 R'= 8.68 fm (En=1 keV) 9913 1451 212 -------------------------------------------------- 9913 1451 213 9913 1451 214 Table 2. Level Scheme of Es-253 9913 1451 215 ------------------- 9913 1451 216 No. Ex(MeV) J PI 9913 1451 217 ------------------- 9913 1451 218 0 0.00000 7/2 + * 9913 1451 219 1 0.04640 9/2 + * 9913 1451 220 2 0.08000 11/2 + * 9913 1451 221 3 0.10600 3/2 - 9913 1451 222 4 0.13900 5/2 - 9913 1451 223 5 0.18130 7/2 - 9913 1451 224 ------------------- 9913 1451 225 *) Coupled levels in CC calculation 9913 1451 226 9913 1451 227 Table 3. Level density parameters 9913 1451 228 -------------------------------------------------------- 9913 1451 229 Nuclide a* Pair Eshell T E0 Ematch 9913 1451 230 1/MeV MeV MeV MeV MeV MeV 9913 1451 231 -------------------------------------------------------- 9913 1451 232 Es-254 19.4263 0.0000 1.6001 0.2773 -0.6899 1.0000 9913 1451 233 Es-253 19.3604 0.7544 1.3654 0.3757 -0.7841 2.8632 9913 1451 234 Es-252 19.2945 0.0000 0.8872 0.2854 -0.6910 1.0000 9913 1451 235 Es-251 19.2285 0.7574 0.6125 0.4218 -1.1719 3.3703 9913 1451 236 Es-250 19.1626 0.0000 0.3240 0.2925 -0.6921 1.0000 9913 1451 237 -------------------------------------------------------- 9913 1451 238 9913 1451 239 Table 4. Fission barrier parameters 9913 1451 240 ---------------------------------------- 9913 1451 241 Nuclide V_A hw_A V_B hw_B 9913 1451 242 MeV MeV MeV MeV 9913 1451 243 ---------------------------------------- 9913 1451 244 Es-254 6.200 0.650 5.800 0.450 9913 1451 245 Es-253 6.200 0.800 5.400 0.520 9913 1451 246 Es-252 6.200 0.650 5.800 0.450 9913 1451 247 Es-251 6.200 0.800 5.400 0.520 9913 1451 248 Es-250 6.200 0.650 5.800 0.450 9913 1451 249 ---------------------------------------- 9913 1451 250 9913 1451 251 Table 5. Level density above inner saddle 9913 1451 252 -------------------------------------------------------- 9913 1451 253 Nuclide a* Pair Eshell T E0 Ematch 9913 1451 254 1/MeV MeV MeV MeV MeV MeV 9913 1451 255 -------------------------------------------------------- 9913 1451 256 Es-254 21.7575 0.0000 2.4000 0.3199 -2.4149 2.0000 9913 1451 257 Es-253 21.6837 0.8802 2.4000 0.3205 -1.5348 2.8802 9913 1451 258 Es-252 21.6098 0.0000 2.4000 0.3211 -2.4150 2.0000 9913 1451 259 Es-251 21.5360 0.8837 2.4000 0.3217 -1.5314 2.8837 9913 1451 260 Es-250 21.4621 0.0000 2.4000 0.3223 -2.4151 2.0000 9913 1451 261 -------------------------------------------------------- 9913 1451 262 9913 1451 263 Table 6. Level density above outer saddle 9913 1451 264 -------------------------------------------------------- 9913 1451 265 Nuclide a* Pair Eshell T E0 Ematch 9913 1451 266 1/MeV MeV MeV MeV MeV MeV 9913 1451 267 -------------------------------------------------------- 9913 1451 268 Es-254 21.7575 0.0000 1.0800 0.3459 -1.7120 2.0000 9913 1451 269 Es-253 21.6837 0.8802 1.0400 0.3470 -0.8313 2.8802 9913 1451 270 Es-252 21.6098 0.0000 1.0000 0.3481 -1.7109 2.0000 9913 1451 271 Es-251 21.5360 0.8837 0.9600 0.3492 -0.8267 2.8837 9913 1451 272 Es-250 21.4621 0.0000 0.9200 0.3503 -1.7097 2.0000 9913 1451 273 -------------------------------------------------------- 9913 1451 274 9913 1451 275 Table 7. Gamma-ray strength function for Es-254 9913 1451 276 -------------------------------------------------------- 9913 1451 277 K0 = 1.500 E0 = 4.500 (MeV) 9913 1451 278 * E1: ER = 11.39 (MeV) EG = 2.71 (MeV) SIG = 260.53 (mb) 9913 1451 279 ER = 14.17 (MeV) EG = 4.11 (MeV) SIG = 521.06 (mb) 9913 1451 280 * M1: ER = 6.47 (MeV) EG = 4.00 (MeV) SIG = 1.86 (mb) 9913 1451 281 * E2: ER = 9.95 (MeV) EG = 3.06 (MeV) SIG = 7.50 (mb) 9913 1451 282 -------------------------------------------------------- 9913 1451 283 9913 1451 284 9913 1451 285 References 9913 1451 286 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9913 1451 287 2) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9913 1451 288 3) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9913 1451 289 4) R.Waldo et al.: Phys. Rev., C23, 1113 (1981). 9913 1451 290 5) R.J.Howerton: Nucl. Sci. Eng., 62, 438 (1977). 9913 1451 291 6) J.Halperin et al.: Nucl. Sci. Eng., 90, 298 (1985). 9913 1451 292 7) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9913 1451 293 8) E.Sh.Soukhovitskii et al.: Phys. Rev. C72, 024604 (2005). 9913 1451 294 9) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9913 1451 295 10) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9913 1451 296 Japanese. 9913 1451 297 11) C.Kalbach: Phys. Rev. C33, 818 (1986). 9913 1451 298 12) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9913 1451 299 13) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9913 1451 300 14) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9913 1451 301 15) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9913 1451 302 16) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9913 1451 303 17) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9913 1451 304 9913 1451 305 1 451 319 19913 1451 306 2 151 4 19913 1451 307 3 4 27 19913 1451 308 3 16 13 19913 1451 309 3 17 9 19913 1451 310 3 18 134 19913 1451 311 3 37 5 19913 1451 312 8 4 2 19913 1451 313 8 16 2 19913 1451 314 8 17 2 19913 1451 315 8 18 2 19913 1451 316 8 37 2 19913 1451 317 8 102 3 09913 1451 318 10 102 445 09913 1451 319 9913 1 099999 9913 0 0 0 9.925300+4 2.509110+2 0 0 1 09913 2151 1 9.925300+4 1.000000+0 0 0 1 09913 2151 2 1.000000-5 1.000000+0 0 0 0 09913 2151 3 3.500000+0 8.893000-1 0 0 0 09913 2151 4 9913 2 099999 9913 0 0 0 9.925300+4 2.509110+2 0 0 0 09913 3 4 1 0.000000+0-4.640000+4 0 0 1 719913 3 4 2 71 2 9913 3 4 3 4.658490+4 0.000000+0 5.000000+4 1.081890-1 7.000000+4 3.296160-19913 3 4 4 8.031880+4 4.177660-1 1.000000+5 6.175309-1 1.040360+5 6.521123-19913 3 4 5 1.064220+5 6.725793-1 1.200000+5 8.301154-1 1.395540+5 9.922297-19913 3 4 6 1.400000+5 1.015530+0 1.700000+5 1.346470+0 1.820230+5 1.444878+09913 3 4 7 2.000000+5 1.678095+0 2.500000+5 1.992744+0 3.000000+5 2.334091+09913 3 4 8 4.000000+5 2.692104+0 5.000000+5 2.993604+0 6.000000+5 3.106919+09913 3 4 9 7.000000+5 3.165626+0 8.000000+5 3.123707+0 9.000000+5 3.030173+09913 3 4 10 1.000000+6 2.919903+0 1.100000+6 2.821217+0 1.200000+6 2.752790+09913 3 4 11 1.300000+6 2.708917+0 1.400000+6 2.685069+0 1.500000+6 2.660777+09913 3 4 12 1.600000+6 2.642422+0 1.700000+6 2.614712+0 1.800000+6 2.588147+09913 3 4 13 1.900000+6 2.553286+0 2.000000+6 2.518139+0 2.100000+6 2.478938+09913 3 4 14 2.300000+6 2.398948+0 2.500000+6 2.319305+0 2.700000+6 2.243704+09913 3 4 15 3.000000+6 2.146324+0 3.500000+6 2.028789+0 4.000000+6 1.962019+09913 3 4 16 4.500000+6 1.927883+0 5.000000+6 1.914427+0 5.500000+6 1.895065+09913 3 4 17 6.000000+6 1.732622+0 6.500000+6 1.380428+0 7.000000+6 1.056438+09913 3 4 18 7.500000+6 8.219472-1 8.000000+6 6.667083-1 8.500000+6 5.678783-19913 3 4 19 9.000000+6 5.044697-1 9.500000+6 4.618889-1 1.000000+7 4.314466-19913 3 4 20 1.050000+7 4.080688-1 1.100000+7 3.887109-1 1.150000+7 3.717465-19913 3 4 21 1.200000+7 3.563634-1 1.250000+7 3.419749-1 1.300000+7 3.283691-19913 3 4 22 1.350000+7 3.154561-1 1.400000+7 3.032072-1 1.450000+7 2.916209-19913 3 4 23 1.500000+7 2.807841-1 1.550000+7 2.706950-1 1.600000+7 2.608969-19913 3 4 24 1.650000+7 2.520939-1 1.700000+7 2.434558-1 1.750000+7 2.356920-19913 3 4 25 1.800000+7 2.279714-1 1.850000+7 2.211079-1 1.900000+7 2.144736-19913 3 4 26 1.950000+7 2.083767-1 2.000000+7 2.024012-1 9913 3 4 27 9913 3 099999 9.925300+4 2.509110+2 0 0 0 09913 3 16 1 -6.351610+6-6.351610+6 0 0 1 299913 3 16 2 29 2 9913 3 16 3 6.376920+6 0.000000+0 6.500000+6 2.152490-4 7.000000+6 2.857310-29913 3 16 4 7.500000+6 1.316150-1 8.000000+6 2.806130-1 8.500000+6 4.235910-19913 3 16 5 9.000000+6 5.339980-1 9.500000+6 6.060830-1 1.000000+7 6.479940-19913 3 16 6 1.050000+7 6.672120-1 1.100000+7 6.772660-1 1.150000+7 6.814880-19913 3 16 7 1.200000+7 6.805080-1 1.250000+7 6.689180-1 1.300000+7 6.275370-19913 3 16 8 1.350000+7 5.637660-1 1.400000+7 4.893990-1 1.450000+7 4.151050-19913 3 16 9 1.500000+7 3.476670-1 1.550000+7 3.016160-1 1.600000+7 2.571250-19913 3 16 10 1.650000+7 2.293800-1 1.700000+7 2.075010-1 1.750000+7 1.910600-19913 3 16 11 1.800000+7 1.807220-1 1.850000+7 1.699590-1 1.900000+7 1.617730-19913 3 16 12 1.950000+7 1.545780-1 2.000000+7 1.499260-1 9913 3 16 13 9913 3 099999 9.925300+4 2.509110+2 0 0 0 09913 3 17 1 -1.164110+7-1.164110+7 0 0 1 189913 3 17 2 18 2 9913 3 17 3 1.168750+7 0.000000+0 1.200000+7 1.327980-4 1.250000+7 9.083990-39913 3 17 4 1.300000+7 4.302750-2 1.350000+7 8.736170-2 1.400000+7 1.321100-19913 3 17 5 1.450000+7 1.712330-1 1.500000+7 2.010670-1 1.550000+7 2.071840-19913 3 17 6 1.600000+7 2.204180-1 1.650000+7 2.159340-1 1.700000+7 2.107590-19913 3 17 7 1.750000+7 2.054360-1 1.800000+7 2.006940-1 1.850000+7 1.970080-19913 3 17 8 1.900000+7 1.871290-1 1.950000+7 1.817520-1 2.000000+7 1.703910-19913 3 17 9 9913 3 099999 9.925300+4 2.509110+2 0 0 0 09913 3 18 1 2.185000+8 2.185000+8 0 0 1 3929913 3 18 2 392 2 9913 3 18 3 1.000000-5 1.286704+2 1.103037-5 1.225100+2 1.216691-5 1.166444+29913 3 18 4 1.342055-5 1.110592+2 1.480336-5 1.057411+2 1.632865-5 1.006773+29913 3 18 5 1.801111-5 9.585568+1 1.986691-5 9.126457+1 2.191394-5 8.689297+19913 3 18 6 2.417189-5 8.273037+1 2.666248-5 7.876675+1 2.940971-5 7.499261+19913 3 18 7 3.243999-5 7.139886+1 3.578251-5 6.797687+1 3.946943-5 6.471843+19913 3 18 8 4.353624-5 6.161570+1 4.802208-5 5.866123+1 5.297013-5 5.584795+19913 3 18 9 5.842801-5 5.316908+1 6.444825-5 5.061821+1 7.108881-5 4.818922+19913 3 18 10 7.841358-5 4.587628+1 8.649308-5 4.367385+1 9.540506-5 4.157667+19913 3 18 11 1.052353-4 3.957969+1 1.160784-4 3.767816+1 1.280388-4 3.586752+19913 3 18 12 1.412315-4 3.414345+1 1.557836-4 3.250181+1 1.718351-4 3.093871+19913 3 18 13 1.895404-4 2.945039+1 2.090701-4 2.803332+1 2.306120-4 2.668411+19913 3 18 14 2.543736-4 2.539953+1 2.805835-4 2.417652+1 3.094939-4 2.301217+19913 3 18 15 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