22-Ti- 47 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2009 1 0 0 0 22047.0000 46.5484000 2 0 0 32228 1451 1 0.0 0.0 0 0 0 62228 1451 2 1.00000000 20000000.0 3 0 10 72228 1451 3 1200000.00 0.0 1 0 241 1132228 1451 4 22-Ti- 47 KUR EVAL-SEP88 K.Kobayashi(KUR),H.Hashikura(TOK)2228 1451 5 DIST-DEC06 REV3-DEC01 20011226 2228 1451 6 ----ENDF/B-VII MATERIAL 2228 REVISION 3 2228 1451 7 -----INCIDENT NEUTRON DATA 2228 1451 8 ------ENDF-6 FORMAT 2228 1451 9 2228 1451 10 ***************************** ENDF/B-VII *************************2228 1451 11 ** **2228 1451 12 ** Original data taken from: JENDL-3.3 **2228 1451 13 ** **2228 1451 14 ******************************************************************2228 1451 15 HISTORY 2228 1451 16 88-09 Compiled by T.Asami(nedac) 2228 1451 17 93-12 JENDL-3.2 2228 1451 18 Data were adopted from JENDL fusion file. 2228 1451 19 Compiled by T.Nakagawa 2228 1451 20 00-03 Reevaluation was made by T.Asami. 2228 1451 21 01-11 Compiled by K.Shibata (ndc/jaeri) 2228 1451 22 2228 1451 23 ***** modified parts for JENDL-3.3 ******************** 2228 1451 24 (3,2) re-calculated 2228 1451 25 (3,28,102,103) revised 2228 1451 26 (3,104,105,106,111, 203,207) evaluated newly 2228 1451 27 (3,251) deleted 2228 1451 28 (4,2) revised 2228 1451 29 (4,16,22,28,91) deleted 2228 1451 30 (5,16,22,28,91) deleted 2228 1451 31 (6,16,22,28,91) taken from JENDL fusion file 2228 1451 32 (6,203, 207) taken from JENDL fusion file 2228 1451 33 (12,16-107) evaluated newly 2228 1451 34 (14,16-107) isotropic distributions 2228 1451 35 (15,16-107) evaluated newly 2228 1451 36 *********************************************************** 2228 1451 37 2228 1451 38 mf=1 General information 2228 1451 39 mt=451 Descriptive data and dictionary 2228 1451 40 2228 1451 41 mf=2 Resonance parameters 2228 1451 42 mt=151 Resolved resonance parameters 2228 1451 43 Resolved parameters for MLBW formula were given in the energy 2228 1451 44 region from 1.0e-5 eV to 100 keV. Parameters were taken from 2228 1451 45 ref./5/, for positive resonances. Parameters for negative 2228 1451 46 resonance were obtained so that the reproduced cross sections 2228 1451 47 for both scattering and capture gave the 2200 m/s values of 2228 1451 48 3.1+-0.2 and 1.7+-0.2 barns, respectively/5/. The scattering 2228 1451 49 radius was assumed to be 4.5 fermi instead of 3.6 fermi in 2228 1451 50 ref./5/. Calculated 2200 m/sec cross sections and resonance 2228 1451 51 integrals are as follows: 2228 1451 52 2228 1451 53 2200 m/s cross section(b) res. integral(b) 2228 1451 54 elastic 3.10 2228 1451 55 capture 1.70 1.43 2228 1451 56 total 4.80 2228 1451 57 2228 1451 58 mf=3 Neutron cross sections 2228 1451 59 Below 100 kev, no background cross section was given. 2228 1451 60 The calculation with sincros-ii system/2/ was made by adopting 2228 1451 61 Walter-Guss omp modified by Yamamuro/2/ for neutron, Perey omp 2228 1451 62 /6/ for proton, Lemos omp modified by Arthur and Young/7/ 2228 1451 63 for alpha, Lohr-Haeberli omp/8/ for deuteron, Becchettii- 2228 1451 64 Greenlees omp/9/ for triton and he-3, and standard level 2228 1451 65 density parameters of sincros-ii system. 2228 1451 66 2228 1451 67 mt=1 Total 2228 1451 68 Below 100 keV, created from the resonance paranmeters. 2228 1451 69 Above 100 keV, optical and statistical model calculation was 2228 1451 70 made with the casthy code/10/. 2228 1451 71 The optical potential parameters used are: 2228 1451 72 V = 50.75 - 0.120*En, Vso = 4.72 (MeV) 2228 1451 73 Ws = 10.9 - 0.234*En, Wv = 0.0 (MeV) 2228 1451 74 r = 1.26, rs = 1.02, rso = 1.16 (fm) 2228 1451 75 a = 0.52, aso = 0.52, b = 0.40 (fm) 2228 1451 76 2228 1451 77 mt=2 Elastic scattering 2228 1451 78 Obtained by subtracting the sum of the partial cross sections 2228 1451 79 from the total cross section. 2228 1451 80 2228 1451 81 mt=4, 51-66, 91 Inelastic scattering 2228 1451 82 The cross sections were taken from JENDL fusion file. the 2228 1451 83 level scheme was based on ref./4/ Contributions of the 2228 1451 84 direct process were calculated for the levels marked with '*'.2228 1451 85 2228 1451 86 no. energy(MeV) spin-parity (direct process) 2228 1451 87 g.s. 0.0 5/2 - 2228 1451 88 1 0.1594 7/2 - * 2228 1451 89 2 1.2521 9/2 - * 2228 1451 90 3 1.254 1/2 - 2228 1451 91 4 1.4442 11/2 - * 2228 1451 92 5 1.5499 3/2 - * 2228 1451 93 6 1.67 1/2 - 2228 1451 94 7 1.7941 1/2 - * 2228 1451 95 8 1.825 3/2 + 2228 1451 96 9 2.163 3/2 - * 2228 1451 97 10 2.1667 5/2 + 2228 1451 98 11 2.2595 5/2 + 2228 1451 99 12 2.2971 3/2 - 2228 1451 100 13 2.344 5/2 + 2228 1451 101 14 2.3649 1/2 + 2228 1451 102 15 2.4062 5/2 - 2228 1451 103 16 2.4163 1/2 - 2228 1451 104 Levels above 2.416 MeV were assumed to be overlapping. 2228 1451 105 2228 1451 106 mt=16, 22 (n,2n), (n,na) 2228 1451 107 Adopted from JENDL fusion file. Theoretical calculation was 2228 1451 108 made with sincros-ii. The (n,2n) results were normalized to 2228 1451 109 0.200 b at 14.9 MeV systematics by Kasugai/11/ 2228 1451 110 2228 1451 111 mt=28 (n,np) 2228 1451 112 Obtained from from the sincros-ii calculation made with the 2228 1451 113 the egnash code/2/. 2228 1451 114 2228 1451 115 mt=102 Capture 2228 1451 116 Calculated with the casthy code/10/ and normalized to 65.5 mb 2228 1451 117 at 30 keV. Added the semidirect component calculated with 2228 1451 118 the quick gnash code/16,17/. 2228 1451 119 2228 1451 120 mt=103 (n,p) 2228 1451 121 Taken from JENDL dosimetry file/14/. 2228 1451 122 2228 1451 123 mt=107 (n,a) 2228 1451 124 Calculated with the gnash code/12/. 2228 1451 125 2228 1451 126 mf=4 Angular distributions of secondary neutrons 2228 1451 127 mt=2 2228 1451 128 Calculated with the casthy code/10/,newly for JENDL-3.3. 2228 1451 129 mt=51-66 2228 1451 130 Taken from JENDL fusion file/1/. 2228 1451 131 2228 1451 132 mf=6 Energy-angle distributions of secondary particles 2228 1451 133 Taken from JENDL fusion file/1/. 2228 1451 134 - Energy distributions of secondary neutrons were replaced 2228 1451 135 by those calculated by egnash2. The ddx's of the 2228 1451 136 continuum neutrons were calculated by Kumabe's systema- 2228 1451 137 tics /3/ using f15tob /1/. The precompound/compound 2228 1451 138 ratio was calculated by the sincros-ii code system/2/. 2228 1451 139 mt=16, 22, 28, 91 2228 1451 140 Based on modified Kumabe's systematics/1/. 2228 1451 141 mt=203, 207 2228 1451 142 Based on kalbach's 1988 systematics/13/. 2228 1451 143 2228 1451 144 mf=12 Photon production multiplicities and transition probability2228 1451 145 arrays 2228 1451 146 mt=16, 22, 28, 51-66, 91,103, 104, 107 2228 1451 147 mt=51-66 were given as the transition probability arrays. 2228 1451 148 mt=16, 22, 28, 91, 102, 103, 104, 107 were calculated with 2228 1451 149 the egnash code/2/ and processed by the gamfil2 code/15/. 2228 1451 150 mt=102 was calculated with the casthy code/10/. 2228 1451 151 2228 1451 152 mf=14 Photon angular distributions 2228 1451 153 mt=16, 22, 28, 51-66, 91, 102, 103, 104, 107 2228 1451 154 Assumed to be isotropic distributions 2228 1451 155 2228 1451 156 mf=15 Continuous photon energy spectra 2228 1451 157 mt=16, 22, 28, 91, 103, 104, 107 2228 1451 158 Calculated with the egnash code/2/. 2228 1451 159 mt=102 2228 1451 160 Calculated with the casthy code/10/. 2228 1451 161 2228 1451 162 2228 1451 163 References 2228 1451 164 1) Chiba, S. et al.: JAERI-M 92-027, p.35 (1992). 2228 1451 165 2) Yamamuro, N.: JAERI-M 90-006 (1990). 2228 1451 166 3) Kumabe, I. et al.: Nucl. Sci. Eng., 104, 280 (1990). 2228 1451 167 4) ENSDF: Evaluated Nuclear Structure Data File, BNL/NNDC. 2228 1451 168 5) Mughabghab S.F. et al. : " Neutron Cross Sections ", Vol.1, 2228 1451 169 Part A (1981). 2228 1451 170 6) Perey, F.G.: Phys. Rev., 131, 745 (1963). 2228 1451 171 7) Arthur, E.D. and Young, P.G.: LA-8626-MS (1980). 2228 1451 172 8) Lohr, J.M. and Haeberli W.: Nucl. Phys., A232, 381 (1974). 2228 1451 173 9) Becchetti, F.D. Jr. and Greenlees G.W.: "Polarization 2228 1451 174 Phenomena in Nucl. Reactions," Univ. Wisconsin Press, p.682 2228 1451 175 (1971). 2228 1451 176 10) Igarasi S. and Fukahori T.: JAERI 1321 (1991). 2228 1451 177 11) Kasugai Y.: private communication (1993). 2228 1451 178 12) Young P.G. and Arthur E.D. : LA-6947 (1977). 2228 1451 179 13) Kalbach C. : Phys. Rev. C37, 2350(1988). 2228 1451 180 14) Nakazawa M. et al. : JAERI 1325 (1992). 2228 1451 181 15) Hida K.: JAERI-M 86-150 (1986) (in Japanese). 2228 1451 182 16) Young P.G. et al. : LA-12343-MS (1992). 2228 1451 183 17) Koning A.J. and Delaroche J.P. : ECN-RX-98-015 (1998). 2228 1451 184 2228 1451 185 2228 1451 186 2228 1451 187 ***************** Program LINEAR (VERSION 2009-1) ***************2228 1451 188 For All Data Greater than 1.0000E-10 barns in Absolute Value 2228 1451 189 Data Linearized Using Energy Dependent Uncertainty 2228 1451 190 Energy Accuracy 2228 1451 191 (eV) (per-cent) 2228 1451 192 ----------- ----------- 2228 1451 193 0.0 .010000000 2228 1451 194 1.00000000 .010000000 2228 1451 195 2.00000000 .100000000 2228 1451 196 20000000.0 .100000000 2228 1451 197 ***************** Program RECENT (VERSION 2009-1) ***************2228 1451 198 for All Data Greater than 1.0000E-10 barns in Absolute Value 2228 1451 199 Data Linearized Using Energy Dependent Uncertainty 2228 1451 200 Energy Accuracy 2228 1451 201 (eV) (per-cent) 2228 1451 202 ----------- ----------- 2228 1451 203 0.0 .010000000 2228 1451 204 1.00000000 .010000000 2228 1451 205 2.00000000 .100000000 2228 1451 206 20000000.0 .100000000 2228 1451 207 ***************** Program SIGMA1 (VERSION 2009-1) ***************2228 1451 208 Data Doppler Broadened to 1200.00000 Kelvin 2228 1451 209 for All Data Greater than 1.0000E-10 barns in Absolute Value 2228 1451 210 Data Linearized Using Energy Dependent Uncertainty 2228 1451 211 Energy Accuracy 2228 1451 212 (eV) (per-cent) 2228 1451 213 ----------- ----------- 2228 1451 214 0.0 .010000000 2228 1451 215 1.00000000 .010000000 2228 1451 216 2.00000000 .100000000 2228 1451 217 20000000.0 .100000000 2228 1451 218 ***************** Program SIGMA1 (VERSION 2009-1) ***************2228 1451 219 Data Doppler Broadened to 1200000.00 Kelvin 2228 1451 220 for All Data Greater than 1.0000E-10 barns in Absolute Value 2228 1451 221 Data Linearized Using Energy Dependent Uncertainty 2228 1451 222 Energy Accuracy 2228 1451 223 (eV) (per-cent) 2228 1451 224 ----------- ----------- 2228 1451 225 0.0 .010000000 2228 1451 226 1.00000000 .010000000 2228 1451 227 2.00000000 .100000000 2228 1451 228 20000000.0 .100000000 2228 1451 229 ***************** Program FIXUP (Version 2009-1) ****************2228 1451 230 Corrected ZA/AWR in All Sections-----------------------------Yes 2228 1451 231 Corrected Thresholds-----------------------------------------No 2228 1451 232 Extended Cross Sections to 20 MeV----------------------------No 2228 1451 233 Allow Cross Section Deletion---------------------------------No 2228 1451 234 Allow Cross Section Reconstruction---------------------------Yes 2228 1451 235 Make All Cross Sections Non-Negative-------------------------Yes 2228 1451 236 Delete Energies Not in Ascending Order-----------------------Yes 2228 1451 237 Deleted Duplicate Points-------------------------------------Yes 2228 1451 238 Check for Ascending MAT/MF/MT Order--------------------------Yes 2228 1451 239 Check for Legal MF/MT Numbers--------------------------------Yes 2228 1451 240 Allow Creation of Missing Sections---------------------------No 2228 1451 241 Allow Insertion of Energy Points-----------------------------No 2228 1451 242 Create Uniform Energy Grid-----------------------------------No 2228 1451 243 Delete Section if Cross Section =0 at All Energies-----------Yes 2228 1451 244 **************** Program DICTIN (VERSION 2009-1) ****************2228 1451 245 1 451 358 32228 1451 246 2 151 54 12228 1451 247 3 1 3284 12228 1451 248 3 2 661 32228 1451 249 3 4 1424 22228 1451 250 3 16 67 22228 1451 251 3 22 31 22228 1451 252 3 28 65 32228 1451 253 3 51 112 22228 1451 254 3 52 109 22228 1451 255 3 53 110 22228 1451 256 3 54 97 22228 1451 257 3 55 93 22228 1451 258 3 56 111 22228 1451 259 3 57 93 22228 1451 260 3 58 107 22228 1451 261 3 59 99 22228 1451 262 3 60 112 22228 1451 263 3 61 109 22228 1451 264 3 62 107 22228 1451 265 3 63 111 22228 1451 266 3 64 99 22228 1451 267 3 65 115 22228 1451 268 3 66 101 22228 1451 269 3 91 90 22228 1451 270 3 102 1003 32228 1451 271 3 103 71 32228 1451 272 3 104 29 32228 1451 273 3 105 28 32228 1451 274 3 106 20 32228 1451 275 3 107 43 12228 1451 276 3 111 35 32228 1451 277 3 203 71 32228 1451 278 3 207 42 32228 1451 279 4 2 105 32228 1451 280 4 51 111 22228 1451 281 4 52 86 22228 1451 282 4 53 27 22228 1451 283 4 54 86 22228 1451 284 4 55 81 22228 1451 285 4 56 27 22228 1451 286 4 57 81 22228 1451 287 4 58 27 22228 1451 288 4 59 73 22228 1451 289 4 60 27 22228 1451 290 4 61 27 22228 1451 291 4 62 27 22228 1451 292 4 63 27 22228 1451 293 4 64 27 22228 1451 294 4 65 27 22228 1451 295 4 66 27 22228 1451 296 6 16 403 32228 1451 297 6 22 351 32228 1451 298 6 28 346 32228 1451 299 6 91 726 32228 1451 300 6 203 299 32228 1451 301 6 207 316 32228 1451 302 12 16 8 32228 1451 303 12 22 7 32228 1451 304 12 28 7 32228 1451 305 12 51 3 32228 1451 306 12 52 3 32228 1451 307 12 53 3 32228 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2228 2151 373 16380.0000 3.00000000 318.100000 317.000000 1.10000000 0.0 2228 2151 374 17420.0000 2.00000000 49.7000000 48.0000000 1.70000000 0.0 2228 2151 375 19090.0000 3.00000000 21.0000000 20.0000000 1.00000000 0.0 2228 2151 376 21270.0000 2.00000000 63.5000000 62.0000000 1.50000000 0.0 2228 2151 377 27120.0000 2.00000000 121.300000 120.000000 1.30000000 0.0 2228 2151 378 27170.0000 3.00000000 862.300000 860.000000 2.30000000 0.0 2228 2151 379 30230.0000 2.00000000 75.3000000 74.0000000 1.30000000 0.0 2228 2151 380 32610.0000 2.00000000 599.200000 598.000000 1.20000000 0.0 2228 2151 381 38120.0000 3.00000000 86.6000000 86.0000000 .600000000 0.0 2228 2151 382 40550.0000 3.00000000 641.700000 640.000000 1.70000000 0.0 2228 2151 383 41060.0000 2.00000000 58.2600000 58.0000000 .260000000 0.0 2228 2151 384 42360.0000 2.00000000 602.000000 600.000000 2.00000000 0.0 2228 2151 385 47560.0000 3.00000000 691.000000 690.000000 1.00000000 0.0 2228 2151 386 49330.0000 3.00000000 281.700000 280.000000 1.70000000 0.0 2228 2151 387 51340.0000 3.00000000 201.100000 200.000000 1.10000000 0.0 2228 2151 388 55390.0000 3.00000000 260.550000 260.000000 .550000000 0.0 2228 2151 389 60450.0000 2.00000000 90.3000000 89.0000000 1.30000000 0.0 2228 2151 390 61880.0000 2.00000000 213.400000 212.000000 1.40000000 0.0 2228 2151 391 63400.0000 3.00000000 113.500000 113.000000 .500000000 0.0 2228 2151 392 63800.0000 3.00000000 54.1000000 53.0000000 1.10000000 0.0 2228 2151 393 64230.0000 3.00000000 51.5600000 51.0000000 .560000000 0.0 2228 2151 394 71679.9000 3.00000000 489.930000 489.000000 .930000000 0.0 2228 2151 395 71879.9000 2.00000000 181.300000 180.000000 1.30000000 0.0 2228 2151 396 73799.9000 2.00000000 120.560000 120.000000 .560000000 0.0 2228 2151 397 74749.9000 2.00000000 122.100000 120.000000 2.10000000 0.0 2228 2151 398 46.5484000 0.0 1 0 90 152228 2151 399 585.000000 3.00000000 .708000000 .008000000 .700000000 0.0 2228 2151 400 4105.00000 2.00000000 .147000000 .077000000 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416 22047.0000 46.5484000 0 0 0 02228 3 1 417 0.0 0.0 0 0 1 98432228 3 1 418 9843 2 2228 3 1 419 1.00000E-5 1709.81969 1.03223E-5 1682.91467 1.06549E-5 1656.439102228 3 1 420 1.09983E-5 1630.37532 1.13527E-5 1604.72505 1.17186E-5 1579.474272228 3 1 421 1.20962E-5 1554.62553 1.24861E-5 1530.16076 1.28884E-5 1506.090132228 3 1 422 1.33038E-5 1482.39063 1.37325E-5 1459.07002 1.41751E-5 1436.109322228 3 1 423 1.46318E-5 1413.51787 1.51034E-5 1391.27590 1.55901E-5 1369.387882228 3 1 424 1.60925E-5 1347.84182 1.66111E-5 1326.63564 1.71464E-5 1305.762752228 3 1 425 1.76990E-5 1285.21814 1.82694E-5 1264.99461 1.88581E-5 1245.093692228 3 1 426 1.94659E-5 1225.50093 2.00931E-5 1206.22196 2.07407E-5 1187.242022228 3 1 427 2.14090E-5 1168.56379 2.20990E-5 1150.17715 2.28111E-5 1132.081332228 3 1 428 2.35463E-5 1114.26836 2.43051E-5 1096.73786 2.50884E-5 1079.480362228 3 1 429 2.58968E-5 1062.49783 2.67314E-5 1045.78035 2.75928E-5 1029.326782228 3 1 430 2.84821E-5 1013.13060 2.93999E-5 997.191349 3.03474E-5 981.5011292228 3 1 431 3.13253E-5 966.059191 3.23349E-5 950.858532 3.33769E-5 935.8989912228 3 1 432 3.44525E-5 921.173479 3.55627E-5 906.680405 3.67089E-5 892.4137402228 3 1 433 3.78918E-5 878.374035 3.91130E-5 864.552787 4.03734E-5 850.9514022228 3 1 434 4.16745E-5 837.562136 4.30174E-5 824.384916 4.44038E-5 811.4136912228 3 1 435 4.58347E-5 798.647848 4.73119E-5 786.081149 4.88364E-5 773.7143042228 3 1 436 5.04104E-5 761.539951 5.20348E-5 749.559198 5.37118E-5 737.7651052228 3 1 437 5.54426E-5 726.158228 5.72294E-5 714.732582 5.90736E-5 703.4878492228 3 1 438 6.09774E-5 692.418962 6.29424E-5 681.525255 6.49709E-5 670.8017772228 3 1 439 6.70645E-5 660.248345 6.92259E-5 649.859689 7.14567E-5 639.6357172228 3 1 440 7.37596E-5 629.571271 7.61364E-5 619.666628 7.85902E-5 609.9163472228 3 1 441 8.11227E-5 600.320989 8.37371E-5 590.875284 8.64355E-5 581.5793372228 3 1 442 8.92211E-5 572.428605 9.20962E-5 563.422816 9.50643E-5 554.5577022228 3 1 443 9.81277E-5 545.833157 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10913.9775 .1314593392228 3102 8127 10928.5925 .120018195 10943.2075 .109380705 10957.8225 .0995405812228 3102 8128 10969.9644 .091961695 10984.4673 .083600123 10994.1360 .0784316072228 3102 8129 11003.8046 .073577570 11013.4733 .069028160 11023.1419 .0647730602228 3102 8130 11032.8105 .060801287 11042.4791 .057101507 11052.1478 .0536620692228 3102 8131 11061.8164 .050471258 11071.4851 .047517148 11081.1537 .0447879642228 3102 8132 11090.8224 .042271918 11100.4910 .039957511 11110.1596 .0378334102228 3102 8133 11119.8282 .035888609 11131.3944 .033782812 11142.9605 .0319009422228 3102 8134 11154.5266 .030226426 11166.0927 .028743670 11177.6588 .0274381022228 3102 8135 11189.2249 .026296210 11200.7910 .025305561 11212.3571 .0244548212228 3102 8136 11223.9233 .023733751 11235.4893 .023133232 11248.1570 .0226043252228 3102 8137 11263.0277 .022143476 11277.8985 .021844152 11292.7693 .0216972002228 3102 8138 11302.6831 .021680631 11317.5538 .021774875 11332.4246 .0220106562228 3102 8139 11347.2953 .022388896 11362.1660 .022913205 11377.0368 .0235898792228 3102 8140 11391.9075 .024427884 11406.8482 .025444087 11421.9287 .0266617502228 3102 8141 11437.0093 .028090095 11452.0898 .029749861 11467.1704 .0316646992228 3102 8142 11477.2241 .033095907 11487.2778 .034660708 11497.3315 .0363681592228 3102 8143 11507.3852 .038227831 11517.4389 .040249786 11527.4926 .0424445432228 3102 8144 11537.5463 .044823047 11547.6000 .047396622 11557.6536 .0501768972228 3102 8145 11567.7601 .053192206 11577.9195 .056458451 11588.0788 .0599730722228 3102 8146 11598.2382 .063748862 11608.3975 .067798429 11618.5569 .0721343892228 3102 8147 11628.7162 .076768935 11638.8756 .081714059 11654.1146 .0897386782228 3102 8148 11669.3536 .098523020 11684.5926 .108098263 11699.8317 .1184901222228 3102 8149 11715.0707 .129717378 11731.2729 .142582769 11749.4016 .1581139022228 3102 8150 11767.5303 .174827880 11785.6590 .192684769 11803.7877 .2116196582228 3102 8151 11821.9163 .231541067 11848.7678 .262600890 11884.5698 .3060924862228 3102 8152 11946.0670 .382052080 11980.7480 .422562008 12009.9641 .4536607812228 3102 8153 12035.2566 .477471980 12058.1670 .496002650 12081.7080 .5116154232228 3102 8154 12100.9928 .521590867 12120.2074 .528878119 12141.8217 .5338355682228 3102 8155 12163.1603 .535365346 12186.3369 .533345081 12205.6813 .5288831382228 3102 8156 12225.5600 .521881176 12249.9161 .510350385 12275.0755 .4956069242228 3102 8157 12307.7029 .473376582 12385.8794 .415341589 12418.2407 .3932417152228 3102 8158 12442.6504 .378484529 12467.0600 .365787936 12492.6039 .3549679652228 3102 8159 12518.1478 .346791703 12543.6917 .341231785 12569.2355 .3381191852228 3102 8160 12596.0123 .337161734 12622.7889 .338110840 12665.8880 .3422307152228 3102 8161 12733.7420 .349679961 12769.4443 .351315906 12792.7297 .3507962952228 3102 8162 12822.7708 .347844901 12844.4387 .343953394 12866.8069 .3383098772228 3102 8163 12889.1750 .331005888 12915.8038 .320211816 12942.4325 .3072978142228 3102 8164 12970.4420 .291701476 13001.2130 .272620747 13043.0794 .2443693452228 3102 8165 13126.8860 .185361615 13155.9557 .165662551 13185.0254 .1469389482228 3102 8166 13207.3147 .133402110 13226.2137 .122551728 13245.1127 .1123156402228 3102 8167 13264.0118 .102717079 13282.9107 .093767979 13295.5100 .0881637452228 3102 8168 13314.2488 .080359493 13328.3029 .074916117 13342.3569 .0698154882228 3102 8169 13356.4110 .065047845 13370.4650 .060602049 13384.5191 .0564655912228 3102 8170 13398.5732 .052625088 13412.6272 .049066431 13426.6813 .0457749442228 3102 8171 13440.7354 .042735752 13457.2757 .039461773 13475.0593 .0362806072228 3102 8172 13492.8427 .033421776 13510.6262 .030856633 13528.4097 .0285578772228 3102 8173 13546.1932 .026499686 13563.9767 .024657882 13581.7602 .0230100222228 3102 8174 13599.5437 .021535436 13617.3272 .020215223 13635.1107 .0190322162228 3102 8175 13653.1451 .017956736 13671.1795 .016991914 13689.2139 .0161248072228 3102 8176 13707.2483 .015343923 13725.2827 .014639104 13743.3171 .0140013982228 3102 8177 13767.3629 .013242083 13791.4088 .012572238 13815.4546 .0119785282228 3102 8178 13839.6701 .011446324 13864.0553 .010967495 13888.4404 .0105380172228 3102 8179 13925.0180 .009972170 13961.5957 .009484927 13998.1733 .0090627252228 3102 8180 14034.9229 .008693526 14072.0166 .008368436 14109.1104 .0080845442228 3102 8181 14146.2041 .007836615 14195.6623 .007554864 14245.4695 .0073204322228 3102 8182 14295.6255 .007128290 14345.7815 .006975594 14395.9375 .0068588502228 3102 8183 14457.4692 .006761042 14512.1496 .006713770 14557.7166 .0067019262228 3102 8184 14618.2080 .006724503 14669.5859 .006778394 14720.9638 .0068652802228 3102 8185 14772.3418 .006986960 14824.4445 .007148580 14876.5473 .0073524182228 3102 8186 14928.6501 .007603455 14980.7529 .007908239 15020.3814 .0081812282228 3102 8187 15060.0097 .008494984 15099.6381 .008855394 15139.2665 .0092697462228 3102 8188 15178.8949 .009747110 15218.8960 .010304391 15245.6877 .0107271172228 3102 8189 15272.4794 .011195574 15299.2710 .011715910 15326.0627 .0122952782228 3102 8190 15352.8543 .012941967 15379.6460 .013665572 15406.4376 .0144771302228 3102 8191 15433.6073 .015402951 15460.7769 .016447266 15481.1542 .0173184232228 3102 8192 15501.5314 .018273685 15521.9087 .019321655 15542.2859 .0204715732228 3102 8193 15562.6631 .021733325 15583.0403 .023117386 15603.4175 .0246347572228 3102 8194 15623.7947 .026296874 15644.9586 .028188997 15666.1224 .0302632702228 3102 8195 15687.2863 .032533021 15708.4501 .035011232 15729.6140 .0377103112228 3102 8196 15750.7778 .040641644 15771.9417 .043815306 15793.1055 .0472395252228 3102 8197 15817.8577 .051570148 15842.6099 .056256493 15867.3621 .0612973382228 3102 8198 15892.1142 .066684378 15925.1170 .074376335 15951.7579 .0809707432228 3102 8199 15991.7193 .091395554 16119.1580 .126195570 16154.9443 .1353787662228 3102 8200 16190.7305 .143804206 16219.1359 .149772475 16247.5412 .1549665202228 3102 8201 16280.5491 .159882517 16308.6910 .163020919 16336.8329 .1651210532228 3102 8202 16364.9748 .166144315 16379.0457 .166247665 16409.0565 .1655670842228 3102 8203 16439.0673 .163697961 16469.0781 .160719095 16499.0888 .1567446212228 3102 8204 16537.3602 .150466303 16575.6315 .143175723 16681.9963 .1212590382228 3102 8205 16716.2914 .114881592 16739.1548 .111114816 16765.8951 .1073469972228 3102 8206 16788.8580 .104760873 16811.8208 .102860011 16834.7837 .1017159572228 3102 8207 16857.7465 .101389959 16878.5224 .101841425 16894.9244 .1027178672228 3102 8208 16911.3265 .104063461 16927.7285 .105883361 16949.5979 .1090486302228 3102 8209 16971.4672 .113047797 16993.3366 .117855563 17015.2060 .1234310602228 3102 8210 17037.0754 .129717628 17064.4121 .138463914 17097.2162 .1500260402228 3102 8211 17212.9829 .194322073 17246.7394 .206200769 17276.6482 .2155368122228 3102 8212 17301.3724 .222153353 17328.0550 .227962327 17348.5563 .2313733802228 3102 8213 17371.7910 .234040506 17396.0198 .235391272 17406.8249 .2355089622228 3102 8214 17427.7998 .234872944 17449.8200 .232979322 17473.0548 .2296448372228 3102 8215 17497.0972 .224806790 17519.0584 .219228577 17547.2010 .2106075842228 3102 8216 17573.6042 .201198481 17604.8219 .188715042 17646.0574 .1705745362228 3102 8217 17749.1655 .122369726 17779.8398 .108570327 17810.5140 .0954729262228 3102 8218 17833.5196 .086218225 17856.5253 .077513350 17875.8423 .0706580812228 3102 8219 17893.3150 .064828135 17910.7876 .059357196 17928.2603 .0542474292228 3102 8220 17945.7329 .049497368 17963.2056 .045102138 17980.6782 .0410541402228 3102 8221 17998.1509 .037343322 18009.7994 .035050964 18021.4478 .0328993442228 3102 8222 18033.0962 .030884324 18044.7446 .029001616 18058.5270 .0269388532228 3102 8223 18070.4643 .025291245 18082.4015 .023767617 18094.3388 .0223631682228 3102 8224 18106.2760 .021073235 18118.2132 .019893252 18130.1504 .0188188382228 3102 8225 18142.0877 .017845809 18154.0249 .016970248 18165.9621 .0161884782228 3102 8226 18177.8993 .015497124 18189.8366 .014893119 18201.7739 .0143737392228 3102 8227 18213.7111 .013936602 18225.6483 .013579678 18237.5856 .0133013012228 3102 8228 18249.5228 .013100185 18261.4600 .012975408 18273.3972 .0129264242228 3102 8229 18285.3345 .012953053 18297.2717 .013055478 18310.9586 .0132668992228 3102 8230 18322.4162 .013522025 18333.8737 .013849516 18345.3312 .0142507322228 3102 8231 18356.7887 .014727275 18368.2462 .015280972 18379.7037 .0159138542228 3102 8232 18391.1612 .016628131 18402.6187 .017426172 18414.0763 .0183104812228 3102 8233 18425.5338 .019283638 18436.9913 .020348316 18448.4488 .0215072162228 3102 8234 18459.9063 .022763039 18471.3638 .024118452 18482.8213 .0255760482228 3102 8235 18495.7790 .027350739 18510.2368 .029492985 18524.6946 .0318102082228 3102 8236 18539.1524 .034305935 18553.6102 .036982913 18568.0680 .0398429792228 3102 8237 18582.5258 .042886923 18596.9836 .046114366 18618.6704 .0512955622228 3102 8238 18640.3571 .056873790 18662.0438 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3102 8251 19711.8279 .021490986 19724.7442 .019924530 19737.6604 .0184677242228 3102 8252 19750.5767 .017115844 19763.4930 .015864080 19776.4093 .0147075372228 3102 8253 19789.3255 .013641294 19802.2418 .012660418 19813.5848 .0118655682228 3102 8254 19827.6600 .010960688 19841.7352 .010140296 19855.8104 .0093984732228 3102 8255 19869.8855 .008729515 19883.9607 .008127937 19898.0359 .0075885202228 3102 8256 19912.1111 .007106313 19926.1862 .006676648 19940.2614 .0062951372228 3102 8257 19954.3366 .005957695 19968.4118 .005660530 19982.4869 .0054001432228 3102 8258 19996.5621 .005173324 20010.6373 .004977150 20024.7125 .0048089782228 3102 8259 20040.5817 .004650001 20058.2449 .004507731 20075.9082 .0043985962228 3102 8260 20093.5714 .004319671 20111.2347 .004268611 20128.8979 .0042436312228 3102 8261 20137.7295 .004240511 20155.3928 .004252483 20173.0560 .0042884012228 3102 8262 20190.7193 .004348307 20208.3825 .004432740 20226.0458 .0045427342228 3102 8263 20243.7090 .004679814 20261.3723 .004846004 20279.0355 .0050438282228 3102 8264 20296.6987 .005276318 20314.3619 .005547022 20327.7963 .0057809902228 3102 8265 20341.2306 .006041402 20354.6650 .006330438 20368.0993 .0066504462228 3102 8266 20381.5336 .007003960 20394.9680 .007393691 20408.4023 .0078225192228 3102 8267 20421.8366 .008293500 20435.2710 .008809856 20448.7053 .0093749572228 3102 8268 20462.1397 .009992334 20475.5740 .010665635 20489.0083 .0113986462228 3102 8269 20502.4427 .012195254 20515.8770 .013059415 20529.3113 .0139951622228 3102 8270 20542.7457 .015006567 20556.1800 .016097683 20569.6143 .0172725622228 3102 8271 20583.0486 .018535190 20596.4829 .019889453 20613.4072 .0217317472228 3102 8272 20632.0765 .023948048 20650.7458 .026365774 20669.4151 .0289924302228 3102 8273 20688.0844 .031834123 20706.7536 .034895282 20725.4229 .0381784662228 3102 8274 20744.0922 .041684002 20762.7615 .045409806 20787.6539 .0507115912228 3102 8275 20814.9333 .056938433 20844.5997 .064160169 20881.6827 .0737413332228 3102 8276 20928.9357 .086566007 21000.1250 .106153323 21042.0946 .1171354312228 3102 8277 21079.0635 .126016462 21110.7936 .132804516 21137.0469 .1377029462228 3102 8278 21166.4950 .142305064 21197.2132 .145989925 21221.4225 .1480312572228 3102 8279 21243.9611 .149218289 21269.9365 .149715682 21292.1318 .1494003032228 3102 8280 21315.7200 .148328374 21341.7550 .146292655 21373.1082 .1427228342228 3102 8281 21401.7229 .138491465 21434.7032 .132608155 21468.3383 .1256871112228 3102 8282 21509.3157 .116314366 21558.7266 .104182096 21630.5114 .0862373882228 3102 8283 21669.0579 .076977727 21707.6044 .068244808 21739.0568 .0616064982228 3102 8284 21766.9621 .056126322 21794.8673 .051050429 21822.7726 .0463842932228 3102 8285 21841.3761 .043498996 21859.9796 .040789877 21881.4977 .0378690912228 3102 8286 21906.6895 .034726456 21930.0000 .032068757 21954.7992 .0294863792228 3102 8287 21978.7753 .027210715 22003.2131 .025094957 22027.6510 .0231653762228 3102 8288 22045.5121 .021862072 22064.9425 .020537878 22084.3728 .0193032702228 3102 8289 22103.8032 .018150698 22123.2335 .017073341 22142.6639 .0160650702228 3102 8290 22171.8093 .014670571 22200.9548 .013404062 22230.1003 .0122532092228 3102 8291 22259.2459 .011208364 22278.6762 .010566967 22298.1066 .0099676202228 3102 8292 22317.5369 .009408887 22336.9672 .008889561 22356.5346 .0084053642228 3102 8293 22376.2391 .007956213 22395.9436 .007544834 22415.6480 .0071705012228 3102 8294 22435.3525 .006832524 22455.0570 .006530242 22474.7615 .0062629902228 3102 8295 22494.4659 .006030091 22514.1704 .005830837 22533.8748 .0056644922228 3102 8296 22553.5793 .005530275 22573.2837 .005427363 22592.9882 .0053548812228 3102 8297 22612.6926 .005311902 22632.3971 .005297443 22652.1015 .0053104632228 3102 8298 22670.2450 .005345799 22695.1187 .005428911 22719.9925 .0055498262228 3102 8299 22748.3247 .005730178 22778.3861 .005966596 22808.4475 .0062440442228 3102 8300 22838.5090 .006556714 22868.5704 .006898521 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