22-Ti- 47 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 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 12000.0000 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 2007-1) ***************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 10.0000000 .100000000 2228 1451 196 2.00000E+9 .100000000 2228 1451 197 ***************** Program RECENT (VERSION 2007-1) ***************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 10.0000000 .100000000 2228 1451 206 2.00000E+9 .100000000 2228 1451 207 ***************** Program SIGMA1 (VERSION 2007-1) ***************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 10.0000000 .100000000 2228 1451 217 2.00000E+9 .100000000 2228 1451 218 ***************** Program SIGMA1 (VERSION 2007-1) ***************2228 1451 219 Data Doppler Broadened to 12000.0000 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 10.0000000 .100000000 2228 1451 228 2.00000E+9 .100000000 2228 1451 229 ***************** Program FIXUP (Version 2007-1) ****************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---------------------------------Yes 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 2007-1) ****************2228 1451 245 1 451 358 32228 1451 246 2 151 54 12228 1451 247 3 1 2319 12228 1451 248 3 2 914 32228 1451 249 3 4 64 22228 1451 250 3 16 7 22228 1451 251 3 22 7 22228 1451 252 3 28 8 32228 1451 253 3 51 24 22228 1451 254 3 52 17 22228 1451 255 3 53 26 22228 1451 256 3 54 15 22228 1451 257 3 55 17 22228 1451 258 3 56 23 22228 1451 259 3 57 18 22228 1451 260 3 58 24 22228 1451 261 3 59 14 22228 1451 262 3 60 21 22228 1451 263 3 61 20 22228 1451 264 3 62 20 22228 1451 265 3 63 19 22228 1451 266 3 64 19 22228 1451 267 3 65 19 22228 1451 268 3 66 19 22228 1451 269 3 91 14 22228 1451 270 3 102 1423 32228 1451 271 3 103 21 32228 1451 272 3 104 7 32228 1451 273 3 105 6 32228 1451 274 3 106 6 32228 1451 275 3 107 9 12228 1451 276 3 111 7 32228 1451 277 3 203 20 32228 1451 278 3 207 9 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 1451 308 12 54 3 32228 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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 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8717.31782 .047172233 8741.07969 .0422176492228 3102 4527 8764.84157 .038065243 8792.49547 .034027716 8824.04141 .0302311702228 3102 4528 8855.58735 .027103616 8887.13329 .024497841 8922.36641 .0220758652228 3102 4529 8961.28673 .019877632 9000.20704 .018066504 9029.39727 .0169098462228 3102 4530 9058.58750 .015898160 9086.24141 .015055382 9141.54922 .0136516652228 3102 4531 9196.85704 .012542834 9229.29063 .012005385 9264.11407 .0115073162228 3102 4532 9298.93750 .011081507 9368.58438 .010425146 9438.23125 .0099709392228 3102 4533 9507.87813 .009708155 9577.52500 .009619858 9618.34375 .0096493472228 3102 4534 9659.16250 .009741553 9699.98125 .009902327 9740.80000 .0101391792228 3102 4535 9805.55000 .010694185 9861.05000 .011385955 9888.80000 .0118245482228 3102 4536 9939.67500 .012827892 9980.37500 .013874260 10021.0750 .0152059192228 3102 4537 10041.4250 .016005422 10076.5750 .017655193 10093.2250 .0185827762228 3102 4538 10109.8750 .019623325 10126.5250 .020794978 10143.1750 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11574.7708 .022056376 11611.9040 .024120093 11649.0371 .0266880962228 3102 4577 11667.6037 .028204636 11686.1702 .029907043 11704.7368 .0318281032228 3102 4578 11733.7252 .035360958 11759.9986 .039263989 11786.2721 .0440306932228 3102 4579 11799.4088 .046819021 11812.5455 .049934840 11832.9074 .0555417832228 3102 4580 11851.2988 .061608961 11869.6902 .068889075 11878.8859 .0730869532228 3102 4581 11896.1388 .082203850 11909.9762 .090949043 11923.8135 .1013093922228 3102 4582 11937.6509 .113706508 11950.6781 .127742563 11958.6258 .1376992682228 3102 4583 11969.2227 .152986968 11979.8197 .171074455 11990.4166 .1926560762228 3102 4584 11999.6123 .214906926 12008.8080 .241211630 12018.0037 .2725055902228 3102 4585 12027.1994 .309947661 12034.7312 .346174735 12042.2629 .3883748892228 3102 4586 12049.7946 .437566155 12057.3263 .494857811 12062.3840 .5384639522228 3102 4587 12067.4417 .586628938 12072.4993 .639748746 12077.5569 .6982613882228 3102 4588 12082.6146 .762676095 12087.2693 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3102 4601 12287.8296 .220936940 12298.0118 .197518207 12308.1939 .1783360132228 3102 4602 12314.8077 .167699771 12327.0126 .151108409 12339.2175 .1376943222228 3102 4603 12347.3540 .130176107 12355.4906 .123614688 12363.6271 .1178856182228 3102 4604 12371.7637 .112885835 12381.5337 .107726298 12398.6390 .1005759742228 3102 4605 12415.7443 .095420719 12427.1478 .092923811 12438.5513 .0910952362228 3102 4606 12449.9548 .089883509 12467.0600 .089145561 12480.0046 .0894110372228 3102 4607 12492.9491 .090375387 12515.6021 .093785347 12535.0190 .0985856512228 3102 4608 12554.4357 .105363301 12564.1441 .109601233 12575.1161 .1151671782228 3102 4609 12593.1152 .126358506 12602.1147 .133072238 12611.1142 .1406556852228 3102 4610 12620.1138 .149223832 12635.8629 .167008843 12649.0848 .1852602332228 3102 4611 12662.0294 .206769437 12674.9739 .232697668 12681.4462 .2476217382228 3102 4612 12687.9185 .264037385 12699.5994 .297935524 12710.0167 .3334731112228 3102 4613 12720.4340 .374736720 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.006422720 14789.5000 .006610949 14837.2150 .0067331822228 3102 4639 14956.5025 .007157046 15051.9325 .007645816 15147.3625 .0083005302228 3102 4640 15193.0894 .008685964 15236.8282 .009106170 15280.5669 .0095841062228 3102 4641 15358.1038 .010599321 15429.6763 .011781305 15465.4625 .0124818212228 3102 4642 15501.2488 .013269045 15537.0350 .014156205 15571.3302 .0151186392228 3102 4643 15605.6254 .016208168 15651.3523 .017899427 15697.0791 .0199266262228 3102 4644 15738.8297 .022145321 15776.6041 .024532589 15814.3785 .0273701462228 3102 4645 15852.1529 .030770696 15871.0400 .032730961 15891.9154 .0351369422228 3102 4646 15926.7075 .039804765 15954.5413 .044260819 15982.3750 .0495208262228 3102 4647 16007.2266 .055048661 16032.0782 .061531868 16056.9298 .0691803142228 3102 4648 16081.7813 .078259800 16102.6566 .087226065 16123.5319 .0976514102228 3102 4649 16144.4072 .109790553 16165.2825 .123920689 16178.7024 .1341858322228 3102 4650 16192.1223 .145455817 16205.5421 .157782701 16218.9619 .1711924842228 3102 4651 16247.5909 .203258568 16301.2703 .270380663 16317.3741 .2891746942228 3102 4652 16340.3370 .311202021 16350.8939 .318577853 16361.4509 .3238010952228 3102 4653 16379.0457 .327183034 16389.8711 .325812215 16400.6964 .3218632822228 3102 4654 16411.5218 .315509039 16433.1725 .296725185 16458.4316 .2678451242228 3102 4655 16503.0650 .211610409 16532.9863 .177097330 16545.8097 .1638334842228 3102 4656 16558.6331 .151565842 16571.8541 .139953470 16585.2740 .1292028302228 3102 4657 16598.6938 .119436916 16612.1137 .110584633 16625.5335 .1025705772228 3102 4658 16639.9163 .094826262 16661.6615 .084585678 16683.4066 .0758679172228 3102 4659 16694.2792 .072003181 16721.4606 .063568117 16736.4337 .0595696052228 3102 4660 16751.4067 .055965891 16781.3528 .049777373 16811.2989 .0447239702228 3102 4661 16826.2720 .042555174 16846.2154 .039988518 16881.0075 .0362791762228 3102 4662 16900.8888 .034543524 16920.7700 .033057052 16940.6513 .0318024622228 3102 4663 16960.5325 .030767787 16980.4138 .029946247 17000.2950 .0293364742228 3102 4664 17018.1882 .028972329 17045.0279 .028773123 17072.6131 .0290506622228 3102 4665 17101.3167 .029958544 17125.9198 .031374923 17138.2213 .0323630522228 3102 4666 17150.5228 .033579091 17171.0253 .036228813 17187.9505 .0391702922228 3102 4667 17196.6746 .041027893 17211.9418 .044991668 17225.0281 .0493091062228 3102 4668 17231.5711 .051872103 17238.1142 .054761797 17249.0193 .0604569652228 3102 4669 17259.0897 .066948076 17264.1249 .070751358 17269.1601 .0750035302228 3102 4670 17277.9717 .083752733 17285.5245 .092917171 17292.9026 .1038065472228 3102 4671 17296.5044 .109986356 17300.1062 .116842818 17303.7079 .1244744262228 3102 4672 17307.3097 .132996604 17310.9115 .142542710 17316.3142 .1591257192228 3102 4673 17319.5129 .170443023 17322.3085 .181389504 17325.1041 .1934351962228 3102 4674 17327.8997 .206699286 17330.6954 .221310367 17333.4910 .2374033992228 3102 4675 17336.2866 .255121411 17339.0822 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3102 4688 17529.9032 .136413284 17533.4365 .127200502 17536.9699 .1189411232228 3102 4689 17540.5032 .111513766 17544.0366 .104812807 17548.0941 .0978975502228 3102 4690 17554.9667 .087780171 17559.5484 .081962950 17564.1301 .0767627262228 3102 4691 17568.7118 .072093065 17577.8752 .064070073 17586.9125 .0575319442228 3102 4692 17597.3087 .051305376 17603.2494 .048245219 17615.1308 .0429885122228 3102 4693 17627.0122 .038652013 17638.5636 .035120560 17647.1446 .0328488902228 3102 4694 17655.7256 .030826512 17664.3066 .029017130 17681.4687 .0259227642228 3102 4695 17698.6307 .023382043 17710.0074 .021938294 17721.3840 .0206524702228 3102 4696 17744.1373 .018467527 17766.8906 .016688224 17794.0120 .0149633722228 3102 4697 17807.1165 .014251471 17824.5891 .013402503 17842.0618 .0126509782228 3102 4698 17877.0071 .011383195 17911.9524 .010360705 17936.4141 .0097578142228 3102 4699 17978.3485 .008888924 18027.2719 .008076034 18083.1844 .0073456562228 3102 4700 18139.0969 .006774610 18208.9875 .006226215 18250.9219 .0059686362228 3102 4701 18292.8563 .005757082 18334.7907 .005587707 18376.7250 .0054585442228 3102 4702 18418.6594 .005369398 18488.5500 .005315597 18549.3548 .0053812982228 3102 4703 18597.9985 .005532678 18622.3204 .005651047 18664.8837 .0059493362228 3102 4704 18700.9258 .006322226 18718.7266 .006560980 18736.5274 .0068458032228 3102 4705 18763.2286 .007382238 18776.5792 .007712117 18789.9298 .0080932022228 3102 4706 18812.1808 .008870543 18830.0431 .009661562 18848.0900 .0106654122228 3102 4707 18857.1134 .011266482 18866.1369 .011949516 18879.6720 .0131626942228 3102 4708 18886.4396 .013872815 18893.2071 .014666519 18900.3849 .0156151842228 3102 4709 18911.0489 .017272164 18921.7130 .019307505 18927.0450 .0205059182228 3102 4710 18936.3760 .022976763 18944.6407 .025677832 18948.9063 .0273160932228 3102 4711 18953.1719 .029161136 18959.5704 .032409616 18962.7696 .0343010002228 3102 4712 18965.9688 .036410900 18969.1680 .038778040 18972.3672 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1.30200683 19095.9063 1.28678790 19098.8594 1.261990882228 3102 4726 19101.8125 1.22823427 19107.4235 1.14250564 19110.7376 1.080991982228 3102 4727 19115.0688 .991825765 19127.8000 .707374746 19131.8688 .6196594852228 3102 4728 19134.9204 .557272120 19138.0540 .496973819 19140.8759 .4463333302228 3102 4729 19145.1087 .377356958 19147.2250 .346100377 19149.6860 .3124599282228 3102 4730 19152.9672 .272041970 19156.2485 .236478418 19159.5297 .2054585712228 3102 4731 19161.4821 .189005512 19164.8782 .163652794 19168.2743 .1420527642228 3102 4732 19171.6704 .123746507 19175.0665 .108292916 19178.4625 .0952813522228 3102 4733 19180.4560 .088629062 19182.4493 .082620466 19184.4427 .0771908772228 3102 4734 19186.4360 .072282181 19188.4294 .067840196 19192.4161 .0601663552228 3102 4735 19196.4028 .053831797 19200.6602 .048238895 19203.4657 .0450884732228 3102 4736 19206.2712 .042290227 19209.0766 .039793013 19214.6875 .0355360492228 3102 4737 19220.2985 .032049912 19224.0391 .030058609 19230.9461 .0269251672228 3102 4738 19238.7227 .024047526 19245.2032 .022047823 19250.3875 .0206542862228 3102 4739 19255.5719 .019412760 19260.7563 .018300643 19271.1250 .0163947242228 3102 4740 19281.9532 .014762486 19289.1719 .013834145 19296.3907 .0130104622228 3102 4741 19303.6094 .012275902 19318.0469 .011025517 19334.3301 .0098886032228 3102 4742 19350.6954 .008964442 19361.6056 .008442907 19372.5157 .0079828752228 3102 4743 19394.3360 .007211218 19416.1563 .006592924 19427.2716 .0063241312228 3102 4744 19443.9445 .005968548 19460.6173 .005661023 19477.2902 .0053932442228 3102 4745 19510.6359 .004951573 19549.5391 .004554361 19594.0000 .0042108292228 3102 4746 19622.9219 .004033939 19680.7657 .003760028 19738.6094 .0035629192228 3102 4747 19781.9923 .003452716 19825.3750 .003367821 19876.9688 .0032930272228 3102 4748 19928.5625 .003242941 19980.1563 .003214239 20031.7500 .0032049812228 3102 4749 20091.2813 .003217812 20195.4610 .003299834 20269.8750 .0034099782228 3102 4750 20358.4278 .003609288 20434.3302 .003856441 20472.2813 .0040146522228 3102 4751 20538.0138 .004359245 20590.5997 .004718550 20643.1856 .0051782222228 3102 4752 20669.4786 .005457281 20710.9024 .005983952 20748.6056 .0065813192228 3102 4753 20767.4571 .006933114 20786.3087 .007327692 20805.1602 .0077720322228 3102 4754 20824.0118 .008274914 20851.8923 .009150260 20876.4985 .0100867942228 3102 4755 20901.1048 .011221282 20913.4079 .011880174 20936.6250 .0133316532228 3102 4756 20955.6750 .014775903 20974.7250 .016517149 20984.2500 .0175258122228 3102 4757 20993.7750 .018644534 21003.3000 .019889967 21018.6294 .0222122292228 3102 4758 21032.7185 .024773983 21046.8076 .027861127 21053.8521 .0296484002228 3102 4759 21060.8966 .031630074 21072.3067 .035330867 21082.8239 .0394044152228 3102 4760 21093.3411 .044290190 21098.5997 .047108368 21103.8583 .0502246972228 3102 4761 21112.9616 .056459159 21121.5936 .063589594 21125.9097 .0677041212228 3102 4762 21130.2257 .072253125 21134.5417 .077298718 21138.8577 .0829131502228 3102 4763 21142.7831 .088583909 21149.8525 .100396924 21153.3871 .1072052602228 3102 4764 21156.9218 .114712185 21160.4565 .122999951 21163.9912 .1321587642228 3102 4765 21167.5258 .142285979 21173.2929 .161162757 21178.6259 .1815794682228 3102 4766 21183.9589 .205242581 21189.2918 .232525624 21192.8575 .2529500402228 3102 4767 21196.2061 .273802847 21202.9034 .320502465 21210.5680 .3819906672228 3102 4768 21214.7352 .418710709 21220.9860 .477283271 21235.7200 .6219717312228 3102 4769 21242.0600 .680658853 21247.2591 .723881107 21255.0578 .7762624242228 3102 4770 21258.9571 .795388547 21262.8563 .809081446 21266.3964 .8164890282228 3102 4771 21269.9365 .818936133 21276.7787 .809498988 21283.6208 .7822309682228 3102 4772 21290.4629 .739407009 21295.5945 .699093763 21300.9365 .6516685282228 3102 4773 21324.2132 .426557102 21332.4087 .355614328 21336.4766 .3237663912228 3102 4774 21340.5446 .294343023 21343.5956 .273891809 21349.9704 .2355664352228 3102 4775 21355.3282 .207751281 21360.6860 .183620671 21366.0438 .1628008752228 3102 4776 21369.1940 .151946386 21375.4944 .132945666 21381.7948 .1170587132228 3102 4777 21388.0952 .103746966 21394.5011 .092375873 21399.9271 .0841494192228 3102 4778 21404.2679 .078347675 21408.6087 .073141794 21412.9495 .0684554942228 3102 4779 21417.2903 .064223282 21425.9719 .056904444 21430.9081 .0533146282228 3102 4780 21435.8442 .050071996 21445.7165 .044459424 21455.5888 .0397894452228 3102 4781 21465.4610 .035859502 21471.7862 .033659191 21484.4366 .0298624732228 3102 4782 21497.0870 .026715494 21509.7374 .024076945 21524.3969 .0215191512228 3102 4783 21541.0657 .019119613 21557.7344 .017139981 21574.4032 .0154875822228 3102 4784 21594.9911 .013797703 21607.2446 .012939379 21619.4981 .0121717672228 3102 4785 21644.0052 .010861218 21668.5122 .009790526 21685.2926 .0091676312228 3102 4786 21712.4538 .008311536 21744.1417 .007501835 21762.2491 .0071132722228 3102 4787 21793.9371 .006552480 21809.7811 .006377502 21814.3079 .0063657382228 3102 4788 21822.2299 .006436712 21825.6250 .006523737 21828.3226 .0066283822228 3102 4789 21831.0201 .006772852 21833.7176 .006966488 21837.7639 .0073737622228 3102 4790 21839.7870 .007642051 21841.8101 .007961989 21843.8333 .0083408032228 3102 4791 21845.8564 .008786301 21849.2283 .009700310 21851.9259 .0106106312228 3102 4792 21854.6234 .011705588 21857.3209 .013009930 21860.0184 .0145489312228 3102 4793 21862.7159 .016347710 21865.4134 .018430381 21866.7621 .0195851502228 3102 4794 21868.7852 .021466280 21871.9013 .024728239 21875.0174 .0284491782228 3102 4795 21877.3545 .031547083 21879.6916 .034907591 21882.0287 .0385249392228 3102 4796 21886.7028 .046480133 21889.8189 .052252680 21893.7140 .0598741532228 3102 4797 21904.0751 .080910841 21910.6571 .093215542 21913.7456 .0982416652228 3102 4798 21919.0950 .105314918 21923.5957 .109307892 21927.8611 .1112024312228 3102 4799 21929.9938 .111421811 21934.3914 .110325739 21938.7889 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23175.8504 .0281081962228 3102 4825 23179.0057 .031560127 23182.9499 .036107027 23193.2138 .0483568442228 3102 4826 23197.1919 .052869818 23201.0250 .056861869 23203.7613 .0594157012228 3102 4827 23209.3250 .063625176 23211.6000 .064901775 23214.7493 .0661914642228 3102 4828 23217.8985 .066894756 23219.9980 .067027361 23224.7240 .0663358842228 3102 4829 23229.4500 .064320103 23234.0000 .061246832 23239.8173 .0559857812228 3102 4830 23247.0888 .047978251 23257.6600 .035407146 23261.1313 .0314402082228 3102 4831 23264.6026 .027680940 23269.2310 .023081561 23271.5452 .0209830202228 3102 4832 23273.8594 .019027400 23275.8883 .017433004 23277.9172 .0159514682228 3102 4833 23279.9461 .014582006 23281.9750 .013322658 23283.8826 .0122363872228 3102 4834 23285.7902 .011241659 23287.6978 .010334747 23290.5592 .0091298162228 3102 4835 23293.4206 .008097616 23296.2820 .007221779 23299.1434 .0064856062228 3102 4836 23302.0048 .005872601 23303.9124 .005524485 23305.8200 .0052195642228 3102 4837 23307.7276 .004953582 23309.6352 .004722528 23311.5428 .0045226522228 3102 4838 23315.3580 .004202778 23319.1732 .003969370 23322.0346 .0038386552228 3102 4839 23324.8960 .003737910 23327.7574 .003661140 23331.5726 .0035876002228 3102 4840 23335.3878 .003538546 23341.1106 .003495932 23354.4638 .0034697202228 3102 4841 23373.5398 .003487434 23434.5829 .003592105 23495.6261 .0037215062228 3102 4842 23551.3042 .003865684 23601.6174 .004024616 23633.0631 .0041466022228 3102 4843 23645.6414 .004213897 23655.0751 .004288767 23666.0811 .0044380142228 3102 4844 23670.7980 .004538039 23678.6594 .004781806 23684.9486 .0050729872228 3102 4845 23688.0932 .005259721 23691.2377 .005478370 23694.3823 .0057321222228 3102 4846 23697.5269 .006023778 23700.6715 .006355590 23703.8160 .0067290262228 3102 4847 23710.1052 .007601652 23713.2498 .008098102 23717.9666 .0089084462228 3102 4848 23733.8043 .011912190 23738.6748 .012783980 23742.6568 .0134225822228 3102 4849 23746.3952 .013938216 23750.3924 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24148.8755 .567075314 24154.7924 .5385279052228 3102 4875 24160.7240 .498544882 24168.3189 .435627254 24182.4489 .3062529842228 3102 4876 24189.3815 .246714601 24192.4136 .222723862 24195.2985 .2012801342228 3102 4877 24198.1834 .181277178 24202.5106 .154081383 24206.3670 .1327045672228 3102 4878 24208.4571 .122224181 24210.5471 .112497667 24212.6372 .1034993912228 3102 4879 24214.7272 .095201436 24216.8173 .087571014 24218.9073 .0805744642228 3102 4880 24220.7030 .075041680 24224.4563 .064798058 24227.4589 .0577715102228 3102 4881 24231.2122 .050270339 24233.4642 .046375369 24235.7162 .0428840112228 3102 4882 24237.9681 .039757552 24240.2201 .036959362 24243.9733 .0329351592228 3102 4883 24246.1664 .030906370 24248.3595 .029084435 24252.7457 .0259731802228 3102 4884 24257.1319 .023446283 24261.5181 .021378984 24264.8078 .0200698052228 3102 4885 24268.0974 .018929603 24271.3871 .017930558 24277.9663 .0162687582228 3102 4886 24285.4545 .014784828 24293.9766 .013464594 24302.4988 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.029754737 26077.9516 .031230983 26097.1579 .0330431082228 3102 4900 26126.5322 .036399781 26141.2194 .038434492 26163.2501 .0421103582228 3102 4901 26174.2655 .044313521 26185.2808 .046830647 26196.2962 .0497325672228 3102 4902 26211.0775 .054391550 26226.1413 .060315423 26233.6731 .0638404802228 3102 4903 26241.2050 .067815701 26254.3858 .076040076 26265.6836 .0845817042228 3102 4904 26272.5376 .090511074 26279.9942 .097631660 26287.4507 .1054439332228 3102 4905 26294.9073 .113900728 26333.0939 .161255922 26345.2955 .1737509162228 3102 4906 26356.1414 .181667471 26366.9873 .185718941 26371.4935 .1861558682228 3102 4907 26377.7297 .185538359 26388.4203 .181337914 26395.5473 .1765839622228 3102 4908 26409.8014 .163588008 26437.2927 .133349602 26453.4156 .1171630872228 3102 4909 26466.3140 .106360198 26479.2123 .097646181 26487.6151 .0930329762228 3102 4910 26496.0178 .089175544 26504.4206 .085990331 26512.8233 .0833933322228 3102 4911 26529.6288 .079655706 26540.8324 .078031962 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27231.7186 .269679552 27247.1440 .245116668 27263.6153 .2243269072228 3102 4925 27271.8509 .215602779 27284.2044 .204158222 27296.5578 .1942922822228 3102 4926 27308.9112 .185651039 27325.3825 .175574617 27358.3251 .1588013542228 3102 4927 27394.7370 .143522956 27424.6481 .132586419 27454.5591 .1227021712228 3102 4928 27484.4702 .113672833 27514.3812 .105377648 27545.2353 .0975118312228 3102 4929 27577.9758 .089874880 27610.7163 .082922326 27643.4567 .0766022702228 3102 4930 27676.1971 .070852210 27708.9375 .065619607 27745.3158 .0603629442228 3102 4931 27781.6941 .055636903 27818.0724 .051385153 27854.4507 .0475565292228 3102 4932 27917.6074 .041780470 27976.2169 .037255909 28034.8264 .0333949462228 3102 4933 28108.0882 .029341060 28152.3821 .027232841 28197.3497 .0253081662228 3102 4934 28242.3173 .023581875 28287.2849 .022028342 28332.2525 .0206266362228 3102 4935 28377.2200 .019359430 28425.7244 .018125679 28474.2288 .0170139172228 3102 4936 28571.2375 .015101489 28670.9410 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32303.1208 .0373604332228 3102 4999 32348.5289 .042678485 32382.5849 .047137240 32472.7458 .0596928302228 3102 5000 32517.4985 .065164645 32556.6572 .068618573 32590.2218 .0701505242228 3102 5001 32607.0040 .070345704 32627.6484 .070043933 32648.2927 .0691573142228 3102 5002 32668.9370 .067727658 32689.5813 .065821081 32730.8699 .0609126302228 3102 5003 32836.3385 .045885787 32891.1091 .038668640 32918.4944 .0354487012228 3102 5004 32945.8798 .032506733 32973.2650 .029836699 33012.5875 .0264494282228 3102 5005 33051.9100 .023537911 33091.2325 .021040549 33130.5550 .0188977682228 3102 5006 33155.8338 .017682409 33181.1125 .016578917 33231.6700 .0146622422228 3102 5007 33282.2275 .013065991 33332.7850 .011725018 33391.7688 .0104201562228 3102 5008 33450.7525 .009339444 33509.7363 .008436648 33568.7200 .0076764462228 3102 5009 33641.7475 .006893319 33714.7750 .006247419 33806.0594 .0055889472228 3102 5010 33860.8300 .005257697 33918.4094 .004951762 33975.9888 .0046832922228 3102 5011 34091.1475 .004236900 34205.3700 .003889261 34280.2700 .0037013702228 3102 5012 34355.1700 .003540223 34501.0805 .003291417 34668.8830 .0030882442228 3102 5013 34824.0155 .002965612 35000.0385 .002892436 35110.5725 .0028797052228 3102 5014 35286.9988 .002915412 35388.3500 .002969226 35467.1788 .0030299002228 3102 5015 35546.0075 .003109209 35624.8363 .003209919 35737.4488 .0034004302228 3102 5016 35855.6919 .003672717 35957.0432 .003986116 36009.1265 .0041845022228 3102 5017 36097.1050 .004593362 36167.4878 .005004503 36237.8706 .0055150232228 3102 5018 36301.9190 .006092066 36363.8559 .006782301 36394.8244 .0071876522228 3102 5019 36425.7928 .007640800 36456.7612 .008148964 36487.7296 .0087199822228 3102 5020 36535.8011 .009753423 36579.2507 .010874384 36622.7004 .0122092642228 3102 5021 36666.1500 .013796406 36706.7844 .015543209 36746.4803 .0175180372228 3102 5022 36776.2522 .019176309 36806.0241 .020973868 36924.6098 .0285942552228 3102 5023 36949.9851 .029973511 36988.0481 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