95-Am-241 ENDF/B-VII.1 Processed by Red Cullen using PREPRO2012 7100 0 0 0 95241.0000 238.986000 2 1 0 49543 1451 1 0.0 0.0 0 0 0 69543 1451 2 1.00000000 30000000.0 1 0 10 79543 1451 3 2100.00000 0.0 1 0 485 1269543 1451 4 95-Am-241 LANL EVAL-Oct10 T.Kawano,M.B.Chadwick 9543 1451 5 DIST- 20111222 9543 1451 6 ----ENDF/B-VII.1 MATERIAL 9543 9543 1451 7 -----INCIDENT NEUTRON DATA 9543 1451 8 ------ENDF-6 FORMAT 9543 1451 9 9543 1451 10 **************************************************************** 9543 1451 11 Modification to ENDF/B-VII.0 9543 1451 12 T. Kawano, M.B. Chadwick, A. Kahler, P.G. Young 9543 1451 13 [Oct. 2010, Aug. 2011] 9543 1451 14 9543 1451 15 MF=2 Resonance Parameters 9543 1451 16 ENDF/B-VII.0 resonance parameters (were from ENDF/B-VI) 9543 1451 17 were replaced by the JENDL-4 resonance parameters. 9543 1451 18 The energies of resolved resonances are almost identical 9543 1451 19 to the values in ENDF/B-VI, but spins and widths show 9543 1451 20 some differences. 9543 1451 21 9543 1451 22 In the unresolved resonance range, we adopted LSSF=1, 9543 1451 23 so that the dilute cross sections are now given in File 3. 9543 1451 24 9543 1451 25 MF=3 Neutron Cross Sections 9543 1451 26 MT=18 9543 1451 27 We performed a SOK analysis in the entire energy range to 9543 1451 28 obtain both the cross sections and its covariance. 9543 1451 29 The energy boundary was lowered to 150 eV. The subthreshold 9543 1451 30 cross sections are now given in File 3. 9543 1451 31 MT=102 9543 1451 32 The capture cross section was re-evaluated with the 9543 1451 33 Hauser-Feshbach calculations (CoH3), which reproduces 9543 1451 34 the DANCE experimental data and an integral measuremnt. 9543 1451 35 9543 1451 36 MF=32 Resonance Parameter Covariance 9543 1451 37 Take from JENDL-4, as for the resonance parameters. 9543 1451 38 9543 1451 39 MF=33 Neutron Cross Section Covariances 9543 1451 40 The covariance matrices for the total, inelastic, (n,2n), 9543 1451 41 (n,3n), (n,4n), and capture cross sections were calculated 9543 1451 42 with KALMAN, combining the statistical model calculations 9543 1451 43 with available experimental data. 9543 1451 44 The covariance matrix for the fission cross section was 9543 1451 45 obtained with the SOK code. 9543 1451 46 9543 1451 47 9543 1451 48 **************************************************************** 9543 1451 49 9543 1451 50 P.Young [10/26/06] 9543 1451 51 Modified MF=13,MT=3 continuum x/s following the prescription by 9543 1451 52 H.Trellue and R.Little to correct problems in running MCNPX. Also 9543 1451 53 regridded MF=13,MT=3 summed x/s, added MF=15,MT=3 dummy spectrum 9543 1451 54 at 1.e-5 eV, and corrected gridding problems & inconsistencies 9543 1451 55 between MF=3 and MF=9. 9543 1451 56 9543 1451 57 **************************************************************** 9543 1451 58 Modification to ENDF/B-VI Rev. 2 9543 1451 59 9543 1451 60 MF=3 Neutron Cross Sections 9543 1451 61 MT=2 9543 1451 62 Adjusted to that cross sections sum to total. 9543 1451 63 MT=16,17 9543 1451 64 GNASH calclautions, and the parameters were adjusted to 9543 1451 65 reproduce the experiemtal data of Lougheed [Lo01], 9543 1451 66 Filatenkov [Fi99], and LANL C-INC data. 9543 1451 67 MT=18 9543 1451 68 The SOK code was used for evaluating the fission cross 9543 1451 69 section from 6 to 17 MeV. GNASH calculation was adopted 9543 1451 70 at high energies. 9543 1451 71 MT=102 9543 1451 72 Hauser-Feshbach statistical model calculations, and 9543 1451 73 renormalized to the experimental data of Gayther [Ga77], 9543 1451 74 and Wisshak [Wi80]. 9543 1451 75 MF=9 Multiplicities for production of radioactive elements 9543 1451 76 MT=102 9543 1451 77 Re-evaluated based on the GNASH calculation and 9543 1451 78 experimental data of Shinohara [Si97], and LANL C-INC. 9543 1451 79 9543 1451 80 Fi99 A.A. Filatenkov, RI-252, Khlopin Radium Institute (1999). 9543 1451 81 9543 1451 82 Ga77 D.B. Gayther, B.W. Thomas, Proc. 4th All Union Conf. 9543 1451 83 on Neutron Physics, Kiev, 1977, Vol.3, p.3 (1977). 9543 1451 84 9543 1451 85 Lo01 R.W. Lougheed, et al., UCRL-ID-145592, LLNL (2001). 9543 1451 86 9543 1451 87 Si97 N. Shinohara, et al., J. Nucl. Sci. Technol., 34, 7 (1997). 9543 1451 88 9543 1451 89 Wi80 K. Wisshak, F. Kaeppeler, Nucl. Sci. Eng., 76, 148 (1980). 9543 1451 90 9543 1451 91 **************************************************************** 9543 1451 92 EVALUATION OF n + 241Am REACTIONS 9543 1451 93 9543 1451 94 P. G. Young and D. G. Madland 9543 1451 95 9543 1451 96 Theoretical Division 9543 1451 97 Los Alamos National Laboratory 9543 1451 98 Los Alamos, NM 87545 9543 1451 99 February 23, 1994 9543 1451 100 9543 1451 101 I. SUMMARY 9543 1451 102 9543 1451 103 The cross section data file for neutron reactions with 241Am 9543 1451 104 has been reevaluated over the incident neutron energy range from 9543 1451 105 0.01 to 30 MeV. The evaluation is in ENDF-6 format. Details of 9543 1451 106 the analysis are given in the sections that follow. Some 9543 1451 107 general features of the work are: 9543 1451 108 9543 1451 109 1. The ENDF/B-VI n + 241Am resonance parameters were adopted at 9543 1451 110 neutron energies below 30 keV, suitably joined with the results 9543 1451 111 of the present analysis at 30 keV. 9543 1451 112 9543 1451 113 2. A coupled-channel optical model potential was developed from 9543 1451 114 analyses of nearby actinides that is consistent with 9543 1451 115 measurements of the n + 241Am neutron total cross section. This 9543 1451 116 potential was used to calculate the neutron total cross section, 9543 1451 117 elastic and inelastic scattering cross sections and angular 9543 1451 118 distributions, and reaction cross sections and transmission 9543 1451 119 coefficients for a theoretical analysis of the reaction 9543 1451 120 channels. The direct cross sections from the coupled-channel 9543 1451 121 analysis were combined with compound nucleus calculations at 9543 1451 122 lower energies and with preequilibrium theory calculations at 9543 1451 123 higher energies. Angular distributions for the first 40 excited 9543 1451 124 states of 241Am were obtained from the direct, compound-nucleus, 9543 1451 125 and preequilibrium calculations, and energy-angle correlated 9543 1451 126 distributions are provided for all continuum neutrons. 9543 1451 127 9543 1451 128 3. The evaluated fission and total cross sections were obtained 9543 1451 129 by adjusting the theoretical cross sections as needed to match 9543 1451 130 the available experimental data. 9543 1451 131 9543 1451 132 4. Nubar and the fission neutron spectra were obtained using 9543 1451 133 Madland-Nix theory. 9543 1451 134 9543 1451 135 II. THEORETICAL ANALYSIS 9543 1451 136 9543 1451 137 The primary goal of the theoretical analysis was to provide a 9543 1451 138 consistent set of data for all reactions over the energy range 9543 1451 139 30 keV to 30 MeV. In the case of n+241Am, there are reasonable 9543 1451 140 experimental data available for the neutron total and fission 9543 1451 141 cross sections. Therefore, the function of the theoretical 9543 1451 142 analysis was to provide the elastic, inelastic, (n,2n), (n,3n) 9543 1451 143 and (n,4n) cross sections, as well as the angular and energy 9543 1451 144 distributions of secondary neutrons. To accomplish this, a 9543 1451 145 theoretical analysis was performed, adjusting the relevant 9543 1451 146 parameters to match the total, fission, and (n,g) cross 9543 1451 147 sections. Additionally, a theoretical analysis was performed to 9543 1451 148 obtain the average neutron multiplicity from fission and the 9543 1451 149 energy spectra of fission neutrons as a function of incident 9543 1451 150 energy. 9543 1451 151 9543 1451 152 Coupled-channel deformed optical model calculations were 9543 1451 153 performed with the ECIS code (Ra70) over the incident neutron 9543 1451 154 energy range from 0.001 to 30 MeV. Hauser-Feshbach reaction 9543 1451 155 theory calculations were carried out with the LANL version of 9543 1451 156 the COMNUC code (Du70) at lower energies and the GNASH 9543 1451 157 statistical/preequilibrium code (Yo92) at higher energies to 9543 1451 158 obtain all partial reaction cross section data. Both reaction 9543 1451 159 theory codes used neutron transmission coefficients from the 9543 1451 160 optical model analysis. 9543 1451 161 9543 1451 162 A. Optical Model 9543 1451 163 9543 1451 164 The optical model potential was obtained by considering 9543 1451 165 several coupled-channel parameterizations developed from n + 9543 1451 166 235,238U and 239Pu experimental data (Ma78, Yo88, Yo92a). 9543 1451 167 Parameters were adjusted until a reasonable fit to experimental 9543 1451 168 data for the neutron total cross section of 241Am was obtained. 9543 1451 169 The lowest five members of the 5/2- ground state rotational band 9543 1451 170 were included in the calculations, that is, the 7/2-, 9/2-, 9543 1451 171 11/2- and 13/2- excited states at Ex = 41, 94, 159 and 235 keV 9543 1451 172 were coupled with the 5/2- ground state. 9543 1451 173 9543 1451 174 B. Reaction Theory Calculations 9543 1451 175 9543 1451 176 The Hauser-Feshbach statistical calculations were performed 9543 1451 177 with the COMNUC (Du70) and GNASH (Yo92b) codes. Both codes 9543 1451 178 include a double-humped fission barrier model, using uncoupled 9543 1451 179 oscillators for the barrier representation in GNASH and coupled 9543 1451 180 or uncoupled oscillators in COMNUC, as described by Arthur 9543 1451 181 (Ar82a). The COMNUC calculations include the possibility of 9543 1451 182 width-fluctuation corrections and corrections for class II 9543 1451 183 fluctuations (Ly74), which are needed at lower energies, whereas 9543 1451 184 GNASH provides the preequilibrium corrections that are required 9543 1451 185 at higher energies. Accordingly, COMNUC was used in the 9543 1451 186 calculations below about 2 MeV, utilizing a non-resonant model 9543 1451 187 and including class II fluctuations, and the GNASH code was 9543 1451 188 employed at higher energies using two uncoupled oscillators in 9543 1451 189 the fission calculations. 9543 1451 190 9543 1451 191 Each compound nucleus formed in the calculations is permitted 9543 1451 192 to decay through the fission channel, by neutron emission, and 9543 1451 193 by gamma-ray emission. Neutron transmission coefficients for 9543 1451 194 the Hauser-Feshbach calculations are obtained from the coupled- 9543 1451 195 channel optical model. Gamma ray transmission coefficients are 9543 1451 196 obtained from gamma-ray strength functions calculated with the 9543 1451 197 generalized Lorentzian model of Kopecky and Uhl (Ko90). 9543 1451 198 Transmission coefficients for fission are calculated from the 9543 1451 199 fission model summarized here and detailed in Yo92b. 9543 1451 200 9543 1451 201 Gilbert and Cameron (Gi70) phenomenological level density 9543 1451 202 functions were used to represent continuum levels at ground- 9543 1451 203 state deformations, appropriately matched to available 9543 1451 204 experimental structure data at lower excitation energies. 9543 1451 205 Multiplicative factors were applied to the level density 9543 1451 206 functions to account for enhancements in the fission transition 9543 1451 207 state densities at the fission barriers due to increased 9543 1451 208 asymmetry conditions, and the continuum level densities were 9543 1451 209 matched to the discrete fission transition states at each 9543 1451 210 barrier. The discrete fission transition state spectra were 9543 1451 211 calculated from bandhead information taken from calculations and 9543 1451 212 compilations by Britt (Br82) and by Nagel (Na91). 9543 1451 213 9543 1451 214 9543 1451 215 III. DESCRIPTION OF EVALUATED DATA BASE 9543 1451 216 9543 1451 217 A. Total Cross Section 9543 1451 218 9543 1451 219 The evaluated total cross section below 30 keV is obtained 9543 1451 220 from the resonance parameter evaluation in ENDF/B-VI, suitably 9543 1451 221 matched to the results of the current analysis at 30 keV. From 9543 1451 222 30 keV to 30 MeV, the coupled-channel deformed optical model 9543 1451 223 calculations described above were modified to agree with the 9543 1451 224 experimental data of Phillips (Ph70). 9543 1451 225 9543 1451 226 B. Elastic Cross Section 9543 1451 227 9543 1451 228 The elastic cross section at all energies is obtained from 9543 1451 229 the difference of the total and nonelastic cross sections. 9543 1451 230 Below 30 keV it comes from the ENDF/B-VI resonance parameters 9543 1451 231 and at higher energies it is mainly determined by the coupled- 9543 1451 232 channel optical model calculations. Angular distributions for 9543 1451 233 elastic neutrons were obtained at all energies from the coupled- 9543 1451 234 channel calculations and are given as Legendre expansions. 9543 1451 235 9543 1451 236 C. Fission Cross Section 9543 1451 237 9543 1451 238 The fission cross section was obtained by adjusting the 9543 1451 239 results of the theoretical analysis to optimize agreement with 9543 1451 240 experimental data. At most energies the adjustment was less 9543 1451 241 than a few percent. Above 8 MeV, the theoretical values were 9543 1451 242 used directly. Neutrons from fission are assumed to isotropic 9543 1451 243 in the laboratory system. 9543 1451 244 9543 1451 245 D. Radiative Capture Cross Section 9543 1451 246 9543 1451 247 The radiative capture cross section is calculated using the 9543 1451 248 generalized Lorentzian model of Ko90. The normalization of the 9543 1451 249 strength function was set by requiring the calculated (n,g) 9543 1451 250 cross section be consistent with measured values for 241Am. 9543 1451 251 9543 1451 252 E. Inelastic Neutron Cross Sections 9543 1451 253 9543 1451 254 Discrete (n,n') cross sections are included for the lowest 40 9543 1451 255 excited states of 241Am. The first, second, third, and fifth 9543 1451 256 excited states are members of the K = 5/2 ground-state 9543 1451 257 rotational band and include coupled-channel as well as compound 9543 1451 258 nucleus contributions. The remaining discrete-state cross 9543 1451 259 sections through the 40th excited state are combinations of 9543 1451 260 compound nucleus and preequilibrium contributions and were 9543 1451 261 calculated with the GNASH code. Angular distributions for all 9543 1451 262 the discrete inelastic neutrons are appropriate combinations of 9543 1451 263 the compound nucleus, direct reaction, and preequilibrium 9543 1451 264 contributions and are represented by Legendre expansions. 9543 1451 265 9543 1451 266 The inelastic data corresponding to excitation energies in 9543 1451 267 241Am above 0.508 MeV are given as energy-angle correlated 9543 1451 268 continuous spectra and were calculated with the GNASH code. The 9543 1451 269 results are given in File 6 of the ENDF/B-formatted evaluation 9543 1451 270 (ENDF-6 format) and utilize systematics by Kalbach (Ka88) for 9543 1451 271 angular distribution information, parameterized in terms of 9543 1451 272 preequilibrium ratios calculated in GNASH. 9543 1451 273 9543 1451 274 F. Cross Sections for 241Am(n,xn) Reactions 9543 1451 275 9543 1451 276 The 241Am(n,2n), (n,3n), and (n,4n) cross sections result 9543 1451 277 entirely from the theoretical analysis and GNASH calculations. 9543 1451 278 Energy-angle correlated distributions are given for all the 9543 1451 279 241Am(n,xn) reactions, making use of Kalbach's systematics 9543 1451 280 (Ka88) and the ENDF-6 File 6 representation. 9543 1451 281 9543 1451 282 G. Nubar 9543 1451 283 9543 1451 284 The evaluation of delayed nubar was carried over directly 9543 1451 285 from the ENDF/B-VI evaluation of 241Am. The prompt nubar 9543 1451 286 evaluation was obtained using Madland-Nix theory. 9543 1451 287 9543 1451 288 H. Fission Neutron Spectra 9543 1451 289 9543 1451 290 The fission neutron spectra was determined using Madland-Nix 9543 1451 291 theory and are consistent with nubar. 9543 1451 292 9543 1451 293 9543 1451 294 **************************************************************** 9543 1451 295 9543 1451 296 REFERENCES 9543 1451 297 9543 1451 298 Ar82 E. D. Arthur, "Use of the Statistical Model for the 9543 1451 299 Calculation of Compound Nucleus Contributions to Inelastic 9543 1451 300 Scattering on Actinide Nuclei," Proc. of OECD/NEA Specialists' 9543 1451 301 Meeting on Fast Neutron Scattering on Actinide Nuclei, (Paris, 9543 1451 302 November, 1981), NEANDC-158 "U" (1982) p. 145. 9543 1451 303 9543 1451 304 Ba74 B. B. Back, O. Hansen, H. C. Britt, and J. D. Garrett, 9543 1451 305 "Fission of Doubly Even Actinide Nuclei Induced by Direct 9543 1451 306 Reactions, " Phys. Rev. C 9, 1924 (1974). 9543 1451 307 9543 1451 308 Br82 H. C. Britt, personal communication, 1982. 9543 1451 309 9543 1451 310 Du70 C. L. Dunford, "A Unified Model for Analysis of Compound 9543 1451 311 Nucleus Reactions,"AI-AEC-12931, Atomics Int. (1970). 9543 1451 312 9543 1451 313 Gi65 A. Gilbert and A. G. W. Cameron, "A Composite Nuclear- 9543 1451 314 Level Density Formula with Shell Corrections," Can. J. Phys. 43, 9543 1451 315 1446 (1965). 9543 1451 316 9543 1451 317 Ka88 C. Kalbach, "Systematics of Continuum Angular 9543 1451 318 Distributions: Extensions to Higher Energies," Phys. Rev. C37, 9543 1451 319 2350 (1988); C. Kalbach and F. M. Mann, "Phenomenology of 9543 1451 320 Continuum Angular Distributions. I. Systematics and 9543 1451 321 Parameterization," Phys. Rev. C 23, 112 (1981). 9543 1451 322 9543 1451 323 Ko90 J. Kopecky and M.Uhl, "Test of Gamma-Ray Strength 9543 1451 324 Functions in Nuclear Reaction Model Calculations," Phys. Rev. C 9543 1451 325 42, 1941 (1990). 9543 1451 326 9543 1451 327 Ra70 J. Raynal, "Optical-Model and Coupled-Channel Calculations 9543 1451 328 in Nuclear Physics," IAEA SMR-9/8, Int. At. En. Agency (1970). 9543 1451 329 9543 1451 330 Yo88 P. G. Young and E. D. Arthur, "Calculation of 235U(n,n') 9543 1451 331 Cross Sections for ENDF/B-VI," Int. Conf. on Nucl. Data for 9543 1451 332 Science and Technology, Mito, Japan, May 30 - June 3, 1988 (Ed. 9543 1451 333 S. Igarasi, Saikon Publ. Co., Ltd., 1988) p. 603. 9543 1451 334 9543 1451 335 Yo92a P. G. Young and E. D. Arthur, "Theoretical Analyses of 9543 1451 336 (n,xn) Reactions on 235U, 238U, 237Np, and 239Pu for ENDF/B-VI," 9543 1451 337 Proc. Int. Conf. on Nuclear Data for Science and Technology, 9543 1451 338 Julich, Germany, 13-17 May 1991 (LA-UR-91-1424), [Ed. S. M. 9543 1451 339 Qaim, Springer-Verlag, Germany (1992)], p. 894. 9543 1451 340 9543 1451 341 Yo92b P. G. Young, E. D. Arthur, and M. B. Chadwick, 9543 1451 342 "Comprehensive Nuclear Model Calculations: Introduction to the 9543 1451 343 Theory and Use of the GNASH Code," Los Alamos National 9543 1451 344 Laboratory report LA-12343-MS (1992). 9543 1451 345 9543 1451 346 **************************************************************** 9543 1451 347 *****************************************************************9543 1451 348 9543 1451 349 THE COMMENTS BELOW PERTAIN TO THE PARTS OF THE ENDF/B-VI 9543 1451 350 EVALUATION THAT ARE UTILIZED HERE. 9543 1451 351 9543 1451 352 *****************************************************************9543 1451 353 REVISION 1 CHANGES 9543 1451 354 ENERGY RELEASE PER FISSION FROM ENDF/B-V ADDED 9543 1451 355 9543 1451 356 * * * * * * *9543 1451 357 HISTORY 9543 1451 358 THE ORIGINAL EVALUATION WAS PERFORMED BY 9543 1451 359 GU FUHUA, YU BAOSHENG, ZHOU DELIN, ZHUANG YOUXIANG 9543 1451 360 SHI XIANGJUN, YAN SHIWEI, WANG CUILAN, ZHANG JENGSHANG 9543 1451 361 UNDER THE CONTRACTS BETWEEN IAEA/NDS AND IAE,1985. 1| AND 9543 1451 362 REVISED BY 9543 1451 363 ZHOU DELIN, YU BAOSHENG, LIU TONG 9543 1451 364 SHI XIANGJUN, YAN SHIWEI 9543 1451 365 1988. 2| THE CAPTURE CROSS SECTIONS AND RESONANCE PARAMETERS 9543 1451 366 HAVE BEEN REVIEWED AND REEVALUATED BY ZHOU DELIN ET AL.1988 3|.9543 1451 367 MF=1, GENERAL INFORMATION 9543 1451 368 MT=451, COMMENTS AND DICTIONARY 9543 1451 369 MT=452, TOTAL NUMBER OF NEUTRONS PER FISSION 9543 1451 370 IT IS THE SUM OF DELAY NEUTRONS (MT=455) AND PROMPT 9543 1451 371 NEUTRONS PER FISSION (MT=456). 9543 1451 372 MT=455, T.R.ENGLAND +,LA-11151,LA-11534,LAURA-88-4118 9543 1451 373 MF=2, MT=151, RESONANCE PARAMETERS 9543 1451 374 RESOLVED RESONANCE PARAMETERS FOR SLBW FORMULA IN 1.0E-5 TO 9543 1451 375 1.5E+2 EV RESONANCE ENERGY REGION 9543 1451 376 RESOLVED PARAMETERS WERE RECOMMENDED AS FOLLOWING: 9543 1451 377 IT WAS NOTICED THAT THE PARAMETERS OF THE FIRST SEVERAL WELL 9543 1451 378 DEFINED RESONANCES (0.308, 0,576, 1.276, 1.928, 2.372, 2.358 9543 1451 379 EV, FOR EXAMPLE) GIVEN BY DERRIEN ET AL. 5| (TRANSMISSION), 9543 1451 380 KALEBIN ET AL. 6| (TRANSMISSION) AS WELL AS WESTON ET AL. 7| 9543 1451 381 (ABSORPTION, NOMALIZED TO THERMAL CAPTURE CROSS SECTION OF 582 9543 1451 382 B) RESPECTIVELY ARE IN EXCELLENT AGREEMENT WITH EACH OTHER. 9543 1451 383 THIS FACT MEANS THAT THE RESONANCE PARAMETERS FOR THE FULL 9543 1451 384 RESONANCE ENERGY REGION CAN BE COMBINED BY AVERAGING WEIGHTED 9543 1451 385 WITH RANDOM ERROR ONLY WITHOUT TAKING THE 8% SYSTEMATIC ERROR 9543 1451 386 IN ABSORPTION MEASUREMENT 7| INTO ACCOUNT. SO THAT THE 9543 1451 387 RECOMMENDED VALUES FOR MOST RESONANCES WERE AVERAGED IN EQUAL 9543 1451 388 WEIGHT EXCEPT THOSE FOR WHICH THE RANDOM ERRORS OF WESTON ET 9543 1451 389 AL.'S MEASUREMENT OR/AND THE ERRORS OF KALEBIN ET AL.'S 9543 1451 390 MEASUREMENT ARE MUCH LARGER THAN DERRIEN ET AL.'S, IN SUCH 9543 1451 391 CASES THE AVERAGE WERE MADE WITH UNEQUAL WEIGHTS PROPERLY. 9543 1451 392 UNRESOLVED RESONANCE PARAMETERS IN 1.5E+2 EV TO 30 KEV ENERGY 9543 1451 393 REGION 9543 1451 394 KIKUCH'S PARAMETERS 4| WERE USED AS INPUT DATA AND ADJUSTED 9543 1451 395 TO FIT THE CAPTURE CROSS SECTIONS (EVALUATED ON THE BASES OF 9543 1451 396 WESTON ET AL.'S, VANPRAET ET AL.'S 8|, WISSHAK ET AL.'S 9| 9543 1451 397 AND DERRIEN ET AL.'S MEASUREMENTS) AND FISSION CROSS SECTION 9543 1451 398 OF DABBS 10| (AVERAGED IN PROPER ENERGY RANGE) THEN THE 9543 1451 399 RECOMMENDED UNRESOLVED RESONANCE PARAMETERS WERE OBTAINED. 9543 1451 400 THERMAL ENERGY CROSS SECTIONS 9543 1451 401 FISSION CROSS SECTION THE VALUE OF 3.15 B WAS ADOPTED. 9543 1451 402 CAPTURE CROSS SECTION 620+-13 B, THE WEIGHTED AVERAGED VALUE 9543 1451 403 OF THE FOLLOWING DATA WAS ADOPTED: 9543 1451 404 .KALEBIN: 625+-20 (=640-3.15-11.5, TRANSMISSION); 9543 1451 405 .DOVBENKO ET AL.: 654+-104 (CAPTURE) 11|; 9543 1451 406 .HARBOUR ET AL.: 612+-25 (CAPTURE, DEDUCED RESULT TAKEN FROM 9543 1451 407 AN ANALYSIS BY STORY, 1978. QUOTTED FROM LYNN ET AL.) 12|; 9543 1451 408 .POMERANCE: 625+-35 (QUOTED FROM LYNN ET AL.) 12|; 9543 1451 409 .WISSHAK ET AL.: 625+-35 (ISOMERIC RATIO, INDIRECTLY) 13|; 9543 1451 410 .WESTON ET AL.: 582+-50 (ABSORPTION, A RELATIVE MEASUREMENT 9543 1451 411 NORMALIZED TO THERMAL CAPTURE CROSS SECTION OF 582 B. IT MAY 9543 1451 412 BE CONSIDERED TO NORMALIZE TO DERRIEN'S MEASUREMENT AT FIRST 9543 1451 413 SEVERAL RESONANCES EQUIVALENTLY. THEN THE 8% SYSTEMATIC 9543 1451 414 UNCERTAINTY IN THE ENERGY REGION OF >0.2 EV MUST BE ADDED TO 9543 1451 415 THERMAL VALUE) 3|. 9543 1451 416 MF=4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 9543 1451 417 MT=18 ANGULAR DISTRIBUTIONS OF FISSION NEUTRONS 9543 1451 418 ASSUMED ISOTROPIC IN THE LABORATORY SYSTEM. 9543 1451 419 MF=9 9543 1451 420 MT=102 9543 1451 421 THE DATA OF ISOMERIC RATIO HAVE BEEN REVISED BASED ON THE NEW 9543 1451 422 EVALUATION 2! AND THE SHAPE OF THE THEORETICAL CALCULATION OF 9543 1451 423 13! . 9543 1451 424 MF=12,13,14,15 9543 1451 425 THE DATA CALCULATED BY R. HOWERTON (P.C.) FROM MF=2,3,5. 9543 1451 426 MF=32,33 9543 1451 427 THE FILE 32 AND 33 OF ENDF/B-V, REV.2 ARE ADOPTED. BUT THE 9543 1451 428 THE COVARIANCES OF MT=151 OF FILE 32 AND THE COVARIANCES OF 9543 1451 429 MT=18 OF FILE 33 HAVE BEEN MODIFIED PRELIMINARYLY TO MATCH 9543 1451 430 THE PRESENT EVALUATIONS. 9543 1451 431 9543 1451 432 REFERENCES 9543 1451 433 1| GU FUHUA ET AL., NEUTRON DATA EVALUATION FOR AM-241, 9543 1451 434 1985.(UNPUBLISHED). 9543 1451 435 2| THOU DELIN ET AL., NEUTRON DATA EVALUATION FOR AM-241, 9543 1451 436 1988. (UNPUBLISHED). 9543 1451 437 3| ZHOU DELIN , ON THE CAPTURE DATA EVALUATION FOR 9543 1451 438 AM-241, 1988. (TO BE PUBLISHED). 9543 1451 439 4| KIKUCH Y., JAERI-M 82-096, 1982. 9543 1451 440 5| DERRIEN H. ET AL., WASH75 P.637, 1975. 9543 1451 441 6| KALEBIN S. ET AL., A.E. 40, 373 (1976). 9543 1451 442 7| WESTON L. ET AL., NUCL. SCI. ENG., 61, 356 (1976). 9543 1451 443 8| VANPRAET . ET AL., SANTA FE(85), P.493, 1985. 9543 1451 444 9| WISSHAK K. ET AL., NUCL. SCI. ENG., 76, 148 (1980). 9543 1451 445 10| DABBS J. ET AL., NUCL. SCI. ENG., 83, 22 (1983). 9543 1451 446 11| DOVBENKO A. ET AL., LA-TR-71-74, 1971. 9543 1451 447 12| LYNN J. ET AL., PROGRESS IN NUCLEAR ENERGY, V.5, 9543 1451 448 P.255, 1980. 9543 1451 449 HARBOUR R. ET AL., NUCL. SCI. ENG., 50, 364 (1973). 9543 1451 450 POMERANCE H. ORNL-1879, P.50, 1955. 9543 1451 451 13| WISSHAK K. ET AL., NUCL. SCI. ENG., 81, 396 (1982). 9543 1451 452 **************************************************************** 9543 1451 453 ***************** Program LINEAR (VERSION 2012-1) ***************9543 1451 454 For All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 455 Data Linearized to Within an Accuracy of .010000000 per-cent 9543 1451 456 ***************** Program RECENT (VERSION 2012-1) ***************9543 1451 457 For All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 458 Data Linearized Using Energy Dependent Uncertainty 9543 1451 459 Energy Accuracy 9543 1451 460 (eV) (per-cent) 9543 1451 461 ----------- ----------- 9543 1451 462 1.00000000 .010000000 9543 1451 463 2.00000000 .100000000 9543 1451 464 ***************** Program SIGMA1 (VERSION 2012-1) ***************9543 1451 465 Data Doppler Broadened to 2100.00000 Kelvin 9543 1451 466 For All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 467 Data Linearized Using Energy Dependent Uncertainty 9543 1451 468 Energy Accuracy 9543 1451 469 (eV) (per-cent) 9543 1451 470 ----------- ----------- 9543 1451 471 1.00000000 .010000000 9543 1451 472 2.00000000 .100000000 9543 1451 473 ***************** Program FIXUP (Version 2012-1) ****************9543 1451 474 Corrected ZA/AWR in All Sections-----------------------------Yes 9543 1451 475 Corrected Thresholds-----------------------------------------No 9543 1451 476 Extended Cross Sections to 20 MeV----------------------------No 9543 1451 477 Allow Cross Section Deletion---------------------------------No 9543 1451 478 Allow Cross Section Reconstruction---------------------------Yes 9543 1451 479 Make All Cross Sections Non-Negative-------------------------Yes 9543 1451 480 Delete Energies Not in Ascending Order-----------------------Yes 9543 1451 481 Deleted Duplicate Points-------------------------------------Yes 9543 1451 482 Check for Ascending MAT/MF/MT Order--------------------------Yes 9543 1451 483 Check for Legal MF/MT Numbers--------------------------------Yes 9543 1451 484 Allow Creation of Missing Sections---------------------------Yes 9543 1451 485 Allow Insertion of Energy Points-----------------------------No 9543 1451 486 Uniform Energy Grid for ALL MT-------------------------------No 9543 1451 487 Delete Section if Cross Section =0 at All Energies-----------Yes 9543 1451 488 **************** Program DICTIN (VERSION 2012-1) ****************9543 1451 489 1 451 615 39543 1451 490 1 452 5 49543 1451 491 1 455 7 49543 1451 492 1 456 5 49543 1451 493 1 458 5 49543 1451 494 2 151 419 49543 1451 495 3 1 5806 49543 1451 496 3 2 1043 49543 1451 497 3 4 40 49543 1451 498 3 16 12 49543 1451 499 3 17 10 49543 1451 500 3 18 2557 49543 1451 501 3 37 9 49543 1451 502 3 51 27 49543 1451 503 3 52 26 49543 1451 504 3 53 27 49543 1451 505 3 54 29 49543 1451 506 3 55 27 49543 1451 507 3 56 28 49543 1451 508 3 57 27 49543 1451 509 3 58 27 49543 1451 510 3 59 27 49543 1451 511 3 60 26 49543 1451 512 3 61 26 49543 1451 513 3 62 27 49543 1451 514 3 63 26 49543 1451 515 3 64 25 49543 1451 516 3 65 25 49543 1451 517 3 66 25 49543 1451 518 3 67 25 49543 1451 519 3 68 26 49543 1451 520 3 69 24 49543 1451 521 3 70 25 49543 1451 522 3 71 25 49543 1451 523 3 72 24 49543 1451 524 3 73 24 49543 1451 525 3 74 25 49543 1451 526 3 75 24 49543 1451 527 3 76 24 49543 1451 528 3 77 24 49543 1451 529 3 78 24 49543 1451 530 3 79 23 49543 1451 531 3 80 22 49543 1451 532 3 81 23 49543 1451 533 3 82 22 49543 1451 534 3 83 22 49543 1451 535 3 84 22 49543 1451 536 3 85 22 49543 1451 537 3 86 21 49543 1451 538 3 87 21 49543 1451 539 3 88 20 49543 1451 540 3 89 21 49543 1451 541 3 90 19 49543 1451 542 3 91 20 49543 1451 543 3 102 2611 49543 1451 544 4 2 107 49543 1451 545 4 18 2 49543 1451 546 4 51 105 49543 1451 547 4 52 103 49543 1451 548 4 53 101 49543 1451 549 4 54 52 49543 1451 550 4 55 101 49543 1451 551 4 56 52 49543 1451 552 4 57 52 49543 1451 553 4 58 52 49543 1451 554 4 59 52 49543 1451 555 4 60 52 49543 1451 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599 14 102 1 49543 1451 600 15 3 379 49543 1451 601 15 18 81 49543 1451 602 15 102 51 49543 1451 603 31 452 5 09543 1451 604 31 455 4 09543 1451 605 31 456 21 09543 1451 606 32 151 587 09543 1451 607 33 1 99 09543 1451 608 33 2 7 09543 1451 609 33 4 76 09543 1451 610 33 16 26 09543 1451 611 33 17 13 09543 1451 612 33 18 321 09543 1451 613 33 37 6 09543 1451 614 33 102 99 09543 1451 615 9543 1 0 616 95241.0000 238.986000 0 2 0 09543 1452 617 0.0 0.0 0 0 1 59543 1452 618 5 2 9543 1452 619 1.00000E-5 3.08027000 .025300000 3.08027000 11000000.0 4.794418009543 1452 620 19800000.0 5.92114400 30000000.0 7.17786700 9543 1452 621 9543 1 0 622 95241.0000 238.986000 0 2 0 09543 1455 623 0.0 0.0 0 0 6 09543 1455 624 1.333800-2 3.079800-2 1.130500-1 2.867700-1 8.653600-1 2.643000+09543 1455 625 0.0 0.0 0 0 1 59543 1455 626 5 2 9543 1455 627 1.00000E-5 .004270000 .025300000 .004270000 4000001.00 .0042700009543 1455 628 7000000.00 .002418000 30000000.0 .002418000 9543 1455 629 9543 1 0 630 95241.0000 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1298.617049543 3 1 1838 1.18768405 1328.40362 1.18800223 1338.15716 1.18844898 1351.856079543 3 1 1839 1.18955776 1386.89854 1.18998230 1400.31994 1.19018582 1406.755909543 3 1 1840 1.19111329 1437.08527 1.19228055 1475.26727 1.19250161 1482.500309543 3 1 1841 1.19266882 1488.17141 1.19452135 1551.02176 1.19457880 1552.971509543 3 1 1842 1.19480863 1560.77347 1.19624504 1611.18037 1.19687705 1633.365999543 3 1 1843 1.19710688 1641.43565 1.19796873 1672.63267 1.19917530 1716.321089543 3 1 1844 1.19940513 1724.64471 1.19969241 1735.34135 1.20141610 1799.540639543 3 1 1845 1.20147355 1801.68101 1.20170338 1810.24562 1.20313979 1865.429829543 3 1 1846 1.20486348 1931.66966 1.20492093 1933.87804 1.20515075 1942.714389543 3 1 1847 1.20658716 1999.65375 1.20836830 2070.27881 1.20859813 2079.393809543 3 1 1848 1.21089638 2172.72804 1.21204550 2219.41038 1.21296480 2257.524409543 3 1 1849 1.21319463 2267.05444 1.21549288 2362.38230 1.21779113 2457.737989543 3 1 1850 1.22008938 2553.11959 1.22353675 2696.23556 1.22445605 2733.765299543 3 1 1851 1.22583500 2790.05010 1.22813325 2883.87895 1.22905255 2920.272259543 3 1 1852 1.22928238 2929.36841 1.23158063 3020.35071 1.23249993 3055.333349543 3 1 1853 1.23502800 3151.50408 1.23594730 3184.67423 1.23847538 3275.852979543 3 1 1854 1.23939468 3306.81892 1.24192275 3391.92783 1.24284205 3420.774959543 3 1 1855 1.24422100 3464.02107 1.24514030 3490.97476 1.24651925 3531.383619543 3 1 1856 1.24743855 3555.96258 1.24881750 3592.80771 1.24956444 3612.754739543 3 1 1857 1.24973680 3616.88718 1.25180523 3666.43804 1.25226488 3676.318919543 3 1 1858 1.25249470 3681.25535 1.25404602 3714.54129 1.25525260 3737.323289543 3 1 1859 1.25571225 3745.99097 1.25628682 3756.81353 1.25801050 3784.666679543 3 1 1860 1.25852761 3793.00960 1.25933200 3803.76449 1.26076840 3822.932889543 3 1 1861 1.26283683 3844.85405 1.26295174 3845.76353 1.26490525 3861.169709543 3 1 1862 1.26639912 3868.89209 1.26697368 3871.84568 1.26904210 3876.817459543 3 1 1863 1.26950175 3876.47961 1.27170807 3874.79342 1.27260439 3870.860559543 3 1 1864 1.27453492 3862.32743 1.27599431 3850.65990 1.27720089 3840.971999543 3 1 1865 1.27925496 3817.61289 1.27978643 3811.55210 1.28196976 3779.679589543 3 1 1866 1.28237195 3773.79662 1.28468457 3732.85953 1.28495749 3728.019759543 3 1 1867 1.28754302 3674.58745 1.28785667 3667.19030 1.29041583 3606.745009543 3 1 1868 1.29125743 3584.23739 1.29352460 3523.53713 1.29386320 3514.461819543 3 1 1869 1.29692535 3422.97157 1.29731058 3411.44892 1.30032611 3313.120329543 3 1 1870 1.30075795 3299.02555 1.30372685 3195.30093 1.30420533 3178.570149543 3 1 1871 1.30717559 3069.09882 1.30765270 3051.50157 1.31062432 2936.933839543 3 1 1872 1.31224920 2874.24851 1.31407305 2801.29675 1.31752178 2663.277339543 3 1 1873 1.31914395 2598.32287 1.32212009 2478.38508 1.32678328 2290.367929543 3 1 1874 1.32833695 2227.70235 1.33144646 2105.61483 1.33293345 2047.214219543 3 1 1875 1.33672557 1902.84221 1.33971329 1792.69160 1.34077283 1754.906259543 3 1 1876 1.34270102 1686.14056 1.34568874 1583.51464 1.34827427 1498.072569543 3 1 1877 1.35023077 1435.69036 1.35045761 1428.45993 1.35264095 1361.252139543 3 1 1878 1.35482429 1296.47177 1.35700762 1234.14597 1.35732423 1225.465679543 3 1 1879 1.35919096 1174.30893 1.36137430 1116.94188 1.36208656 1099.027689543 3 1 1880 1.36355764 1062.04531 1.36585260 1006.96947 1.36688226 983.4742209543 3 1 1881 1.36825920 952.072150 1.37066579 900.038454 1.37167795 879.3238149543 3 1 1882 1.37307238 850.804419 1.37547897 804.286105 1.37647363 786.1407429543 3 1 1883 1.37788557 760.402360 1.38029216 719.054701 1.38130315 702.7023189543 3 1 1884 1.38209710 689.871332 1.38269875 680.151376 1.38390205 661.7256899543 3 1 1885 1.38451218 652.386232 1.38573246 634.561940 1.38616651 628.2241319543 3 1 1886 1.38634259 625.655435 1.38756287 608.682075 1.38817301 600.1984259543 3 1 1887 1.38939328 584.028801 1.39000342 575.946837 1.39102986 562.9954339543 3 1 1888 1.39122369 560.552195 1.39183383 552.864147 1.39305410 538.2241309543 3 1 1889 1.39366423 530.906866 1.39488451 516.977580 1.39549465 510.0155089543 3 1 1890 1.39589320 505.688387 1.39671492 496.776731 1.39732505 490.1622549543 3 1 1891 1.39854532 477.474005 1.40037574 459.378302 1.40079086 455.2759129543 3 1 1892 1.40098587 453.350939 1.40220614 442.089797 1.40342641 430.8329389543 3 1 1893 1.40404516 425.500383 1.40572282 411.047500 1.40590139 409.5109949543 3 1 1894 1.40837637 389.638097 1.41065478 372.567446 1.41085135 371.0965419543 3 1 1895 1.41332632 353.815595 1.41558674 339.085661 1.41580130 337.6893409543 3 1 1896 1.41827628 322.654119 1.42055350 309.735563 1.42075126 308.6152279543 3 1 1897 1.42322623 295.516807 1.42555504 284.001819 1.42573613 283.1079679543 3 1 1898 1.42824602 271.532614 1.43075592 260.709151 1.43305735 251.4218019543 3 1 1899 1.43326581 250.582425 1.43577571 241.118038 1.43828560 232.2465239543 3 1 1900 1.44059495 224.587611 1.44079550 223.924001 1.44330539 216.1245849543 3 1 1901 1.44585070 208.692048 1.44820310 202.232698 1.44839600 201.7042449543 3 1 1902 1.45094131 195.140858 1.45348661 188.955912 1.45581126 183.7009739543 3 1 1903 1.45603192 183.203342 1.45730457 180.334750 1.45984988 175.0616279543 3 1 1904 1.46112253 172.426685 1.46349098 167.909000 1.46366783 167.5725849543 3 1 1905 1.46495844 165.118964 1.46753966 160.590231 1.46883026 158.3272029543 3 1 1906 1.47141148 154.141478 1.47270209 152.049799 1.47377831 150.4328929543 3 1 1907 1.47528330 148.179104 1.47657391 146.247422 1.47915512 142.6587519543 3 1 1908 1.48044573 140.865366 1.48302695 137.526385 1.48413820 136.0896569543 3 1 1909 1.48431755 135.858483 1.48693519 132.713325 1.48824401 131.1415499543 3 1 1910 1.49086164 128.206902 1.49217045 126.740314 1.49457066 124.1972969543 3 1 1911 1.49478808 123.967797 1.49871453 120.087367 1.50002334 118.7945019543 3 1 1912 1.50264097 116.419723 1.50525860 114.046227 1.50791317 111.8310319543 3 1 1913 1.51036654 109.784978 1.51056773 109.617938 1.51322229 107.5866209543 3 1 1914 1.51587685 105.556509 1.51853141 103.681375 1.52118597 101.8073239543 3 1 1915 1.52384053 100.072989 1.52631065 98.4600672 1.52649509 98.34016369543 3 1 1916 1.52918711 96.7192180 1.53187912 95.0991814 1.53457113 93.59723649543 3 1 1917 1.53726314 92.0961124 1.53995515 90.7026179 1.54240400 89.43567189543 3 1 1918 1.54264716 89.3104969 1.54533917 88.0231685 1.54803119 86.73651789543 3 1 1919 1.55076118 85.5240476 1.55349117 84.3122144 1.55622117 83.20606849543 3 1 1920 1.56168115 80.9949557 1.56416455 80.0939835 1.56987112 78.03635739543 3 1 1921 1.57817665 75.3585190 1.58623209 73.0414994 1.58648216 72.97005599543 3 1 1922 1.59482674 70.8518985 1.60324944 68.9634293 1.61167214 67.30915309543 3 1 1923 1.61995828 65.9007933 1.62017405 65.8644609 1.62871558 64.64469349543 3 1 1924 1.63725711 63.6389141 1.64591914 62.8366058 1.65458117 62.25738429543 3 1 1925 1.66265511 61.9266956 1.66328393 61.9138854 1.66599011 61.85907619543 3 1 1926 1.66725363 61.8339036 1.67206817 61.8339697 1.67415140 61.83424819543 3 1 1927 1.68085241 62.0172365 1.68171043 62.0407740 1.68763147 62.36942229543 3 1 1928 1.68971927 62.5430147 1.69355250 62.8622490 1.69862744 63.44287829543 3 1 1929 1.69947353 63.5398070 1.70543633 64.4354193 1.70753560 64.83773119543 3 1 1930 1.71144091 65.5867749 1.71506381 66.4575202 1.71744548 67.03034339543 3 1 1931 1.72194890 68.3354452 1.72259201 68.5530744 1.72645233 69.86009359543 3 1 1932 1.72861457 70.7127021 1.73101929 71.6613350 1.73386768 72.96750659543 3 1 1933 1.73558626 73.7558756 1.73750195 74.7749958 1.73835133 75.22663309543 3 1 1934 1.74015322 76.1850911 1.74366273 78.3457239 1.74472018 78.99697779543 3 1 1935 1.74826710 81.5205525 1.74928714 82.2465319 1.75235326 84.70391039543 3 1 1936 1.75287147 85.1606899 1.75544086 87.4261714 1.75747584 89.39833769543 3 1 1937 1.75852846 90.4187781 1.76161606 93.7054298 1.76208021 94.24736739543 3 1 1938 1.76470365 97.3113475 1.76670623 99.8737903 1.76779125 101.2625589543 3 1 1939 1.77087884 105.586800 1.77137556 106.346979 1.77396644 110.3131459543 3 1 1940 1.77604489 113.785856 1.77707581 115.508815 1.78020697 121.2147239543 3 1 1941 1.78061559 122.025476 1.78071422 122.221416 1.78333813 127.4352209543 3 1 1942 1.78382710 128.491023 1.78646929 134.197099 1.78693999 135.2995429543 3 1 1943 1.78960044 141.531692 1.79005287 142.678692 1.79273160 149.4708979543 3 1 1944 1.79313209 150.567484 1.79320968 150.780188 1.79586275 158.0544439543 3 1 1945 1.79636648 159.542290 1.79899391 167.304006 1.79952328 168.9849699543 3 1 1946 1.80214715 177.318037 1.80268008 179.133542 1.80532249 188.1365819543 3 1 1947 1.80573687 189.647251 1.80583689 190.012323 1.80849782 199.7259979543 3 1 1948 1.80899369 201.657188 1.81167315 212.094184 1.81372889 220.6117189543 3 1 1949 1.81484848 225.251379 1.81525668 227.045187 1.81802382 239.2191979543 3 1 1950 1.81850864 241.473663 1.82119915 253.986942 1.82331065 264.4618119543 3 1 1951 1.82477649 271.734780 1.82596214 277.624971 1.82811266 289.0446179543 3 1 1952 1.83020912 300.178747 1.83291467 315.376761 1.83443060 323.8933109543 3 1 1953 1.83445610 324.036756 1.83771668 343.445800 1.84011873 357.7459849543 3 1 1954 1.84383822 381.088107 1.84408472 382.635227 1.84578137 393.2975509543 3 1 1955 1.85259883 438.220393 1.85378424 446.032024 1.85510623 454.7545049543 3 1 1956 1.86357456 511.660360 1.86799024 541.366874 1.86922710 549.6872449543 3 1 1957 1.87336488 576.355045 1.87541143 589.559274 1.87582372 592.2189829543 3 1 1958 1.88200804 629.568781 1.88571863 649.969280 1.88778008 661.3122589543 3 1 1959 1.89313982 687.408822 1.89808728 708.092379 1.90365318 726.9559859543 3 1 1960 1.90829142 738.795995 1.91292966 746.895018 1.91334195 747.2752679543 3 1 1961 1.91744422 751.034479 1.91854709 751.364191 1.91967057 751.6986489543 3 1 1962 1.91970150 751.707826 1.92378315 750.540678 1.92381923 750.5302969543 3 1 1963 1.92571059 748.327985 1.92937996 744.022626 1.92940058 743.9983919543 3 1 1964 1.93497678 732.002609 1.93498193 731.991522 1.93654092 727.3575839543 3 1 1965 1.93931611 719.079980 1.94426357 700.805204 1.94676829 689.8336309543 3 1 1966 1.94921103 679.106638 1.95415849 654.403358 1.95699567 638.7407049543 3 1 1967 1.95951824 624.786997 1.96731924 577.428322 1.96817629 572.2165649543 3 1 1968 1.97769092 510.115528 1.98219409 480.685037 1.98806258 442.4661819543 3 1 1969 1.99250131 413.525625 1.99301667 410.165767 1.99827334 377.4292769543 3 1 1970 1.99951020 369.727329 2.00208658 354.504266 2.00404538 342.9190349543 3 1 1971 2.00538531 334.995098 2.01047067 306.762155 2.01126042 302.3782619543 3 1 1972 2.01566676 279.458244 2.01577958 278.907062 2.02007308 257.9345669543 3 1 1973 2.02108848 253.315758 2.02479445 236.461212 2.02639740 229.6638929543 3 1 1974 2.02836208 221.333991 2.02993667 215.072437 2.03192971 207.1479389543 3 1 1975 2.03347594 201.401092 2.03549734 193.889265 2.03704018 188.5471549543 3 1 1976 2.03906497 181.537339 2.04062939 176.506472 2.04263260 170.0655589543 3 1 1977 2.04421860 165.342586 2.04620023 159.442428 2.04780781 155.0216709543 3 1 1978 2.04976785 149.632581 2.05139702 145.507550 2.05176550 144.5747299543 3 1 1979 2.05336065 140.543075 2.05498622 136.771873 2.05697861 132.1505139543 3 1 1980 2.05857543 128.760098 2.06059658 124.469535 2.06216463 121.4295369543 3 1 1981 2.06421454 117.456113 2.06577916 114.692434 2.06783250 111.0662219543 3 1 1982 2.06941900 108.518325 2.07145046 105.256496 2.07305885 102.9126079543 3 1 1983 2.07339924 102.416664 2.07506842 99.9917372 2.07669869 97.84689899543 3 1 1984 2.07868638 95.2323884 2.08033854 93.2687413 2.08232987 90.90262119543 3 1 1985 2.08579830 87.1884669 2.08599888 86.9737464 2.08966789 83.44226209543 3 1 1986 2.09125806 82.0688633 2.09333689 80.2740623 2.09533819 78.72708169543 3 1 1987 2.09676918 77.6257393 2.09700590 77.4436165 2.10067490 74.92398759543 3 1 1988 2.10230597 73.9271180 2.10434391 72.6820834 2.10784276 70.84283269543 3 1 1989 2.10984741 69.7894874 2.11337956 68.2582053 2.11542857 67.37031809543 3 1 1990 2.11748348 66.6482039 2.11891635 66.1481668 2.12100972 65.41803619543 3 1 1991 2.12488070 64.3514906 2.12659088 63.8806414 2.13170018 62.81373419543 3 1 1992 2.13217203 62.7152935 2.13733915 61.9551342 2.13775318 61.89429519543 3 1 1993 2.14297811 61.4292539 2.14329201 61.4013703 2.14735736 61.24837729543 3 1 1994 2.14789007 61.2292040 2.14861707 61.2364941 2.15248812 61.27601859543 3 1 1995 2.15425602 61.3855914 2.15812655 61.6262383 2.15989498 61.84080059543 3 1 1996 2.16382537 62.3185077 2.16558698 62.6430809 2.16952418 63.36943089543 3 1 1997 2.17130550 63.8178610 2.17522300 64.8050828 2.17702401 65.39052409543 3 1 1998 2.18092181 66.6586972 2.18274253 67.3971909 2.18664743 68.98232199543 3 1 1999 2.18846104 69.8514528 2.19050024 70.8293095 2.19227338 71.79245839543 3 1 2000 2.19435305 72.9226632 2.19613951 74.0150052 2.19820586 75.27908219543 3 1 2001 2.20000564 76.5106969 2.20205867 77.9162480 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222.137249 2.28907155 240.204008 2.29106922 245.9396839543 3 1 2015 2.30316895 280.725546 2.30467222 285.053669 2.30819200 295.1858959543 3 1 2016 2.31271743 307.375127 2.31674004 318.206590 2.31930193 324.5207509543 3 1 2017 2.32076264 328.126112 2.32377960 335.569490 2.32679655 342.1792769543 3 1 2018 2.33081916 350.987842 2.33283046 354.770441 2.33685307 362.3367619543 3 1 2019 2.33936720 366.249678 2.34288697 371.722189 2.34590393 375.2759219543 3 1 2020 2.34967512 379.711717 2.35229611 381.687426 2.35646327 384.8213849543 3 1 2021 2.35868828 385.553568 2.36294972 386.948952 2.36408423 387.0254179543 3 1 2022 2.36465148 387.062795 2.36928533 386.386897 2.36975673 386.3162909543 3 1 2023 2.37656373 382.862830 2.38411869 376.053330 2.38580458 373.9888679543 3 1 2024 2.39015259 368.644088 2.39668932 359.020523 2.39840464 356.1043129543 3 1 2025 2.40680468 341.790653 2.40724866 341.032364 2.41946399 319.0681349543 3 1 2026 2.42535039 308.458691 2.43224181 297.466588 2.43364702 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486.4109869543 310211780 .404505245 481.198241 .405362392 476.169210 .406219538 471.3402359543 310211781 .407080317 466.686163 .407941097 462.222164 .409237738 455.8446829543 310211782 .410538042 449.852428 .411842017 444.232375 .413149672 438.9724829543 310211783 .414462868 434.054967 .415779774 429.477291 .417100399 425.2301419543 310211784 .418424749 421.305091 .419754712 417.689673 .421088433 414.3828639543 310211785 .422425919 411.378704 .423767179 408.672036 .425114123 406.2552909543 310211786 .426464872 404.128897 .427819435 402.290048 .429177820 400.7367209543 310211787 .430541962 399.466086 .431909958 398.480097 .433281816 397.7791249543 310211788 .434657545 397.364367 .436039104 397.237898 .437424566 397.4034389543 310211789 .438787638 397.853333 .440182325 398.610576 .441580951 399.6747529543 310211790 .442983527 401.052662 .444390060 402.752190 .445802554 404.7854679543 310211791 .447219039 407.160606 .448639522 409.889168 .450064014 412.9840799543 310211792 .451017699 415.262354 .451971385 417.710333 .452929112 420.3434739543 310211793 .453886840 423.156075 .454848626 426.165830 .455810412 429.3661659543 310211794 .456776275 432.777167 .457742137 436.391343 .458712092 440.2313519543 310211795 .459682048 444.288738 .460656114 448.588916 .461630180 453.1224059543 310211796 .462608375 457.917590 .463586569 462.963881 .464568909 468.2928649543 310211797 .465551249 473.892757 .466537752 479.798582 .467524255 485.9972519543 310211798 .468514939 492.527488 .469505623 499.374763 .470500505 506.5817749543 310211799 .471495388 514.132396 .472494487 522.073589 .473493585 530.3874159543 310211800 .474496918 539.125408 .475500251 548.267615 .476507836 557.8704199543 310211801 .477515421 567.911575 .478274313 575.773501 .479033204 583.9002429543 310211802 .479793167 592.311046 .480555275 601.026902 .481317383 610.0319979543 310211803 .482081643 619.360683 .482846981 629.009598 .483612318 638.9737669543 310211804 .484380900 649.305594 .485149480 659.971758 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3332.91721 .566725473 3339.736009543 310211830 .567624237 3344.82503 .568525541 3348.18353 .569428114 3349.791219543 310211831 .569728971 3349.93641 .570793597 3348.88255 .571719419 3345.982929543 310211832 .572788557 3340.35000 .573697898 3333.64512 .574607239 3325.196639543 310211833 .575520433 3314.97599 .576433628 3303.03705 .577348113 3289.384319543 310211834 .578265177 3274.01601 .579182241 3256.99969 .580101897 3238.314789543 310211835 .581022849 3218.01485 .581943800 3196.16545 .582868654 3172.707309543 310211836 .583793508 3147.77562 .585029260 3112.24707 .586267625 3074.212099543 310211837 .587508614 3033.78293 .588752227 2991.07913 .589998475 2946.226159543 310211838 .591247359 2899.35540 .592498889 2850.60280 .593753065 2800.108829543 310211839 .595009899 2748.01681 .596269391 2694.47323 .597531551 2639.625969543 310211840 .599428795 2555.28253 .601334080 2468.75545 .603244747 2380.665019543 310211841 .609655092 2081.83557 .611592881 1992.27573 .613536144 1903.559419543 310211842 .615484894 1816.05683 .616787726 1758.53733 .618093319 1701.786889543 310211843 .619401673 1645.89111 .620712799 1590.92828 .622026697 1536.970159543 310211844 .623013513 1497.21716 .624003113 1458.04201 .624992713 1419.577129543 310211845 .625985109 1381.73390 .626978903 1344.58516 .627972697 1308.197449543 310211846 .628970703 1272.43189 .629968708 1237.45302 .630968123 1203.219579543 310211847 .631970358 1169.69292 .632972593 1136.97360 .633977660 1104.973589543 310211848 .634984143 1073.74243 .635990626 1043.32351 .637001374 1013.589249543 310211849 .638012122 984.664981 .639024297 956.504969 .640039329 929.0665999543 310211850 .641054361 902.421368 .642072260 876.487139 .643091594 851.2941119543 310211851 .643771150 834.925170 .644452145 818.859336 .645134581 803.0947099543 310211852 .645817016 787.661516 .646499452 772.555438 .647183333 757.7411469543 310211853 .647868661 743.216116 .648553989 729.007392 .649239317 715.1102429543 310211854 .649926096 701.491409 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345.4063979543 310211867 .679437158 337.659284 .680514101 330.191736 .681595608 322.9623119543 310211868 .682677115 315.992058 .683760150 309.260892 .684846240 302.7504829543 310211869 .685932330 296.470118 .687021490 290.393339 .688112184 284.5207929543 310211870 .689202876 278.852239 .690298192 273.356293 .691393508 268.0490999543 310211871 .692490371 262.915588 .693590328 257.942005 .694690286 253.1357219543 310211872 .695793351 248.476812 .696897971 243.966080 .698002590 239.6037259543 310211873 .699111890 235.365963 .700221191 231.265615 .701332058 227.2914719543 310211874 .702446060 223.433274 .703560062 219.697179 .704677212 216.0681199543 310211875 .705795935 212.547145 .706914657 209.134851 .708038122 205.8130499543 310211876 .709161586 202.592206 .710286637 199.463947 .711414862 196.4206069543 310211877 .712543087 193.467442 .713674500 190.592949 .715185176 186.8848969543 310211878 .716699053 183.311139 .718216131 179.865359 .719736424 176.5415719543 310211879 .721259931 173.334162 .722786667 170.237807 .724316631 167.2475139543 310211880 .725849837 164.358540 .727386285 161.566439 .728925988 158.8669849543 310211881 .730468948 156.256204 .732015177 153.730326 .733564675 151.2858049543 310211882 .735117457 148.919259 .736673522 146.627517 .738232885 144.4075489543 310211883 .739795545 142.256506 .741361516 140.171671 .742930798 138.1504849543 310211884 .744503406 136.190495 .746079339 134.289399 .747658611 132.4449919543 310211885 .749241223 130.655186 .750827188 128.917993 .752416507 127.2315289543 310211886 .754009194 125.593986 .756403276 123.226915 .758807503 120.9582049543 310211887 .761218524 118.786086 .763636352 116.705745 .766061001 114.7126919543 310211888 .768495926 112.800093 .770937730 110.966897 .773386428 109.2094329543 310211889 .775842036 107.524268 .778308050 105.905961 .780781031 104.3539189543 310211890 .783260994 102.865309 .785747954 101.437483 .788245454 100.0660599543 310211891 .790750010 98.7507459 .793261638 97.4893423 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.921162921 78.1431450 .925066810 78.5141931 .928987243 78.93929899543 310211905 .932924291 79.4200850 .936878024 79.9583622 .940848513 80.55614369543 310211906 .944835829 81.2156599 .948840043 81.9393767 .952861227 82.73001479543 310211907 .955887762 83.3685869 .958922835 84.0475957 .961970772 84.76952079543 310211908 .965027319 85.5349778 .968092497 86.3456257 .971166322 87.20324479543 310211909 .974253174 88.1110643 .977348748 89.0699749 .980453061 90.08219549543 310211910 .983566133 91.1501127 .986692398 92.2779277 .989827495 93.46695229543 310211911 .992971444 94.7201786 .996124264 96.0408329 .999290445 97.43441419543 310211912 1.00246557 98.9028880 1.00547111 100.361521 1.00812853 101.7093469543 310211913 1.01078595 103.114171 1.01344336 104.578487 1.01610078 106.1049689543 310211914 1.01875819 107.696452 1.02145311 109.379908 1.02414802 111.1367479543 310211915 1.02684293 112.970619 1.02953783 114.885435 1.03223273 116.8854129543 310211916 1.03495299 118.995189 1.03768592 121.211892 1.04041885 123.5314189543 310211917 1.04315178 125.959725 1.04588470 128.503257 1.04863048 131.1818759543 310211918 1.05140197 134.018567 1.05417346 136.997504 1.05694495 140.1281409543 310211919 1.05971643 143.420804 1.06248791 146.886841 1.06529850 150.5916049543 310211920 1.06810909 154.501733 1.06998281 157.230269 1.07185654 160.0621099543 310211921 1.07373026 163.002633 1.07560398 166.057639 1.07747771 169.2333299543 310211922 1.07937786 172.583856 1.08127802 176.072726 1.08317818 179.7078799543 310211923 1.08507834 183.497844 1.08697850 187.451776 1.08887866 191.5795039543 310211924 1.09077882 195.891576 1.09267898 200.399314 1.09460594 205.1829629543 310211925 1.09653291 210.193989 1.09845988 215.447008 1.10038684 220.9577019543 310211926 1.10231381 226.742983 1.10424077 232.820880 1.10616774 239.2108409543 310211927 1.10809471 245.933596 1.11004886 253.113854 1.11200301 260.6840069543 310211928 1.11346863 266.633392 1.11493425 272.828797 1.11639986 279.2825969543 310211929 1.11786548 286.007902 1.11933110 293.018317 1.12079671 300.3280729543 310211930 1.12226232 307.952149 1.12372793 315.906161 1.12521423 324.3260949543 310211931 1.12670052 333.119733 1.12818681 342.305567 1.12967310 351.9027829543 310211932 1.13115939 361.931312 1.13264569 372.411908 1.13413198 383.3658519543 310211933 1.13561827 394.815366 1.13710456 406.783332 1.13859085 419.2933329543 310211934 1.14008413 432.432505 1.14159139 446.300091 1.14309865 460.8024669543 310211935 1.14460591 475.966892 1.14611317 491.821194 1.14762043 508.3937069543 310211936 1.14912769 525.713205 1.15063495 543.808839 1.15214221 562.7100479543 310211937 1.15364947 582.446469 1.15515673 603.047847 1.15642540 621.0804069543 310211938 1.15795790 643.733472 1.15949039 667.367998 1.16102289 692.0148339543 310211939 1.16255538 717.703659 1.16408788 744.464118 1.16562037 772.3242999543 310211940 1.16715286 801.311759 1.16894893 836.754795 1.17049368 868.5358569543 310211941 1.17203841 901.541019 1.17358316 935.792506 1.17512790 971.3088629543 310211942 1.17667264 1008.10710 1.17821738 1046.20138 1.17976212 1085.602999543 310211943 1.18130686 1126.32014 1.18336651 1182.66384 1.18497528 1228.307239543 310211944 1.18671213 1279.18800 1.18844898 1331.72202 1.19018582 1385.890199543 310211945 1.19250161 1460.61091 1.19480863 1537.80866 1.19710688 1617.345799543 310211946 1.19940513 1699.37942 1.20170338 1783.75210 1.20515075 1914.286189543 310211947 1.20859813 2048.92672 1.21204550 2186.80147 1.22353675 2655.984429543 310211948 1.22813325 2840.43366 1.23158063 2974.50239 1.23502800 3103.282129543 310211949 1.23847538 3225.29951 1.24192275 3339.10449 1.24422100 3409.720509543 310211950 1.24651925 3475.67172 1.24956444 3555.23896 1.25180523 3607.672409543 310211951 1.25404602 3654.59513 1.25628682 3695.74785 1.25852761 3730.902199543 310211952 1.26076840 3759.86406 1.26283683 3780.96399 1.26490525 3796.554909543 310211953 1.26697368 3806.56778 1.26904210 3810.96161 1.27170807 3808.319569543 310211954 1.27453492 3795.35119 1.27720089 3773.66180 1.27978643 3744.048029543 310211955 1.28237195 3706.23709 1.28495749 3660.53637 1.28754302 3607.310059543 310211956 1.29041583 3539.84879 1.29386320 3448.20377 1.29731058 3346.035749543 310211957 1.30075795 3234.64210 1.30420533 3115.38443 1.30765270 2989.662629543 310211958 1.31224920 2814.40988 1.31914395 2541.81084 1.32833695 2175.990709543 310211959 1.33293345 1997.96808 1.33672557 1855.62635 1.33971329 1747.048559543 310211960 1.34270102 1642.04599 1.34568874 1540.94067 1.34827427 1456.789409543 310211961 1.35045761 1388.24563 1.35264095 1322.06935 1.35482429 1258.302429543 310211962 1.35700762 1196.97177 1.35919096 1138.08932 1.36137430 1081.654719543 310211963 1.36355764 1027.65526 1.36585260 973.494203 1.36825920 919.5174389543 310211964 1.37066579 868.369921 1.37307238 819.982653 1.37547897 774.2774079543 310211965 1.37788557 731.167925 1.38029216 690.562123 1.38269875 652.3624389543 310211966 1.38451218 625.106437 1.38634259 598.877613 1.38817301 573.8911969543 310211967 1.39000342 550.101222 1.39183383 527.461277 1.39366423 505.9253829543 310211968 1.39549465 485.447474 1.39732505 465.982834 1.39854532 453.5471859543 310211969 1.40098587 429.915483 1.40342641 407.852529 1.40590139 386.9796059543 310211970 1.40837637 367.520519 1.41085135 349.381008 1.41332632 332.4712529543 310211971 1.41580130 316.705753 1.41827628 302.003807 1.42075126 288.2892389543 310211972 1.42322623 275.490464 1.42573613 263.377438 1.42824602 252.0717549543 310211973 1.43075592 241.512364 1.43326581 231.642680 1.43577571 222.4100519543 310211974 1.43828560 213.765881 1.44079550 205.665122 1.44330539 198.0663259543 310211975 1.44585070 190.833692 1.44839600 184.041270 1.45094131 177.6553279543 310211976 1.45348661 171.645009 1.45730457 163.272443 1.46112253 155.5960009543 310211977 1.46495844 148.508696 1.46883026 141.922802 1.47270209 135.8474459543 310211978 1.47657391 130.230123 1.48044573 125.024820 1.48431755 120.1912019543 310211979 1.48824401 115.632637 1.49217045 111.387438 1.49478808 108.7171159543 310211980 1.50002334 103.726024 1.50525860 99.1568562 1.51056773 94.90680589543 310211981 1.51587685 91.0020771 1.52118597 87.4073004 1.52649509 84.09195779543 310211982 1.53187912 80.9880834 1.53726314 78.1203982 1.54264716 75.46797219543 310211983 1.54803119 73.0124911 1.55349117 70.7070283 1.56168115 67.56590399543 310211984 1.56987112 64.7681587 1.57817665 62.2456473 1.58648216 60.01006549543 310211985 1.59482674 58.0280407 1.60324944 56.2753642 1.61167214 54.75541229543 310211986 1.62017405 53.4446092 1.62871558 52.3449359 1.63725711 51.45807839543 310211987 1.64591914 50.7752472 1.65458117 50.3144302 1.66265511 50.09314099543 310211988 1.66725363 50.0617687 1.67415140 50.1522263 1.68171043 50.45676419543 310211989 1.68763147 50.8615303 1.69355250 51.4299590 1.69947353 52.18271109543 310211990 1.70543633 53.1532821 1.71144091 54.3795056 1.71744548 55.89720979543 310211991 1.72194890 57.2574557 1.72645233 58.8365663 1.73101929 60.69251279543 310211992 1.73558626 62.8411007 1.74015322 65.3242280 1.74472018 68.18975919543 310211993 1.74928714 71.4919441 1.75235326 73.9841019 1.75544086 76.74071019543 310211994 1.75852846 79.7672159 1.76161606 83.0871639 1.76470365 86.72550339543 310211995 1.76779125 90.7085730 1.77087884 95.0639223 1.77396644 99.82028609543 310211996 1.77707581 105.045496 1.78020697 110.780177 1.78333813 117.0215599543 310211997 1.78646929 123.802135 1.78960044 131.154227 1.79273160 139.1096639543 310211998 1.79586275 147.699148 1.79899391 156.951951 1.80214715 166.9677939543 310211999 1.80532249 177.786639 1.80849782 189.362715 1.81167315 201.7137979543 310212000 1.81484848 214.852700 1.81802382 228.786635 1.82119915 243.5163229543 310212001 1.82596214 267.087220 1.83020912 289.558160 1.83445610 313.3304949543 310212002 1.84011873 346.880189 1.84578137 382.255008 1.85510623 443.3523939543 310212003 1.86922710 537.594358 1.87582372 579.759242 1.88200804 616.7431319543 310212004 1.88778008 648.142335 1.89313982 673.910597 1.89808728 694.2980659543 310212005 1.90365318 712.837579 1.90829142 724.415448 1.91292966 732.2599859543 310212006 1.91744422 736.184541 1.91970150 736.753141 1.92381923 735.3911199543 310212007 1.92940058 728.652049 1.93498193 716.466050 1.93931611 703.4513309543 310212008 1.94426357 685.084337 1.94921103 663.327413 1.95415849 638.5994569543 310212009 1.95951824 608.989990 1.96817629 556.499566 1.98219409 465.2774889543 310212010 1.99301667 395.096985 1.99951020 354.883805 2.00538531 320.3705069543 310212011 2.01126042 287.983329 2.01566676 265.232433 2.02007308 243.8744849543 310212012 2.02479445 222.575601 2.02836208 207.578256 2.03192971 193.5199149543 310212013 2.03549734 180.387028 2.03906497 168.159010 2.04263260 156.8093169543 310212014 2.04620023 146.306511 2.04976785 136.615300 2.05336065 127.6371109543 310212015 2.05697861 119.346842 2.06059658 111.766674 2.06421454 104.8526639543 310212016 2.06783250 98.5608756 2.07145046 92.8480380 2.07506842 87.67199179543 310212017 2.07868638 82.9920826 2.08232987 78.7412100 2.08599888 74.89117669543 310212018 2.08966789 71.4373273 2.09333689 68.3461187 2.09700590 65.58651739543 310212019 2.10067490 63.1300758 2.10434391 60.9508557 2.10984741 58.15123569543 310212020 2.11542857 55.8251523 2.12100972 53.9562579 2.12659088 52.49623069543 310212021 2.13217203 51.4073785 2.13775318 50.6618347 2.14329201 50.24286129543 310212022 2.14789007 50.1304539 2.15248812 50.2296469 2.15812655 50.64317939543 310212023 2.16382537 51.3982547 2.16952418 52.5106791 2.17522300 54.00638829543 310212024 2.18092181 55.9184480 2.18664743 58.2989792 2.19050024 60.18324009543 310212025 2.19435305 62.3127656 2.19820586 64.7042909 2.20205867 67.37541549543 310212026 2.20591148 70.3444108 2.20976429 73.6299932 2.21361710 77.25105849543 310212027 2.21749709 81.2557250 2.22140426 85.6704334 2.22531143 90.48661589543 310212028 2.22921859 95.7211145 2.23312576 101.388994 2.23703292 107.5029389543 310212029 2.24094009 114.072838 2.24680083 124.795650 2.25274427 136.7361109543 310212030 2.25868770 149.730256 2.26463114 163.729009 2.27057457 178.6511009543 310212031 2.27849915 199.778914 2.28907155 229.538872 2.30819200 284.1717039543 310212032 2.31674004 307.013279 2.32377960 324.218988 2.33081916 339.4797069543 310212033 2.33685307 350.695303 2.34288697 359.952410 2.34967512 367.8083989543 310212034 2.35646327 372.796870 2.36294972 374.819919 2.36465148 374.9081439543 310212035 2.36975673 374.091748 2.37656373 370.580369 2.38411869 363.7195199543 310212036 2.39015259 356.298206 2.39668932 346.677173 2.40724866 328.7403329543 310212037 2.42535039 296.369276 2.43364702 283.246825 2.43986949 274.9456469543 310212038 2.44609195 268.371958 2.45231442 263.849020 2.45646273 262.1115149543 310212039 2.46155384 261.494374 2.46607927 262.426022 2.47060470 264.8086889543 310212040 2.47496168 268.508471 2.47931865 273.604560 2.48367562 280.0971949543 310212041 2.48803259 287.969595 2.49238957 297.187685 2.49674654 307.6998029543 310212042 2.50328200 325.738278 2.50881995 342.952277 2.51553889 365.8567559543 310212043 2.52561730 403.299706 2.54537915 480.095523 2.55310828 508.2967399543 310212044 2.55987127 530.808400 2.56615119 549.271912 2.57194804 563.7842149543 310212045 2.57822796 576.354916 2.58499095 585.829471 2.59100518 590.4547839543 310212046 2.59561248 591.481141 2.60108929 589.817142 2.60764697 583.7247489543 310212047 2.61420466 573.293517 2.61928898 562.374190 2.62508583 547.1272519543 310212048 2.63088268 529.177350 2.63667953 508.857321 2.64295945 484.5948609543 310212049 2.65310393 441.696830 2.67967283 321.496017 2.68728119 288.3404569543 310212050 2.69452725 258.296065 2.70080717 233.741940 2.70708709 210.7384949543 310212051 2.71179703 194.569555 2.71705043 177.667226 2.72127730 164.9444529543 310212052 2.72550417 153.002096 2.72973104 141.830901 2.73395791 131.4151539543 310212053 2.73818478 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55.8638339 10.7456317 58.51569269543 310212352 10.7535883 61.5984811 10.7615448 65.1039315 10.7695014 69.02175719543 310212353 10.7774580 73.3390964 10.7860039 78.4033739 10.7948445 84.08367289543 310212354 10.8036851 90.1825866 10.8154726 98.9028545 10.8272601 108.2023349543 310212355 10.8431733 121.462647 10.8838401 156.656996 10.9031715 172.5007529543 310212356 10.9187310 184.066653 10.9314615 192.426906 10.9432490 199.0867219543 310212357 10.9564510 205.126719 10.9677670 208.986173 10.9800260 211.6947359543 310212358 10.9918135 212.793718 10.9970000 212.801529 11.0059585 212.1291169543 310212359 11.0177460 209.936264 11.0290620 206.475795 11.0403780 201.7591439543 310212360 11.0535800 194.796873 11.0663105 186.761964 11.0804555 176.5523829543 310212361 11.0964865 163.709056 11.1190007 144.213892 11.1531843 113.8068309543 310212362 11.1690974 100.200811 11.1797062 91.5330504 11.1935565 80.82668759543 310212363 11.2032812 73.7764586 11.2130059 67.1434733 11.2227306 60.94621229543 310212364 11.2324553 55.1952243 11.2421799 49.8939224 11.2491561 46.36641269543 310212365 11.2561322 43.0660172 11.2631083 39.9885071 11.2700844 37.12858579543 310212366 11.2770605 34.4800003 11.2840366 32.0357001 11.2910127 29.78798609543 310212367 11.2979888 27.7286514 11.3049650 25.8490868 11.3119410 24.14052729543 310212368 11.3193668 22.4995450 11.3249170 21.3863516 11.3304672 20.36502979543 310212369 11.3360174 19.4310666 11.3415675 18.5800189 11.3471177 17.80746949543 310212370 11.3526679 17.1091331 11.3582181 16.4808060 11.3665433 15.66065829543 310212371 11.3748686 14.9754789 11.3831938 14.4125430 11.3915191 13.95971709543 310212372 11.3998443 13.6055146 11.4087246 13.3241407 11.4187149 13.11142409543 310212373 11.4287052 12.9926358 11.4394726 12.9519355 11.4469098 12.96743949543 310212374 11.4617842 13.0805669 11.4840959 13.3796579 11.5155099 13.85814039543 310212375 11.5328264 14.0624259 11.5483669 14.1721447 11.5599113 14.19683969543 310212376 11.5718997 14.1644987 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7.25095430 12.5497513 7.72983392 12.5571462 8.251050169543 310212402 12.5645411 8.81665362 12.5719360 9.42862112 12.5793309 10.08882309543 310212403 12.5867258 10.7989883 12.5941207 11.5606673 12.6015156 12.37519319543 310212404 12.6089105 13.2436420 12.6163054 14.1667925 12.6273977 15.65493829543 310212405 12.6381379 17.2138617 12.6487020 18.8584655 12.6592661 20.60935069543 310212406 12.6733516 23.0981213 12.6874371 25.7433295 12.7043397 29.08298589543 310212407 12.7570195 39.8861698 12.7775844 43.8414990 12.7947687 46.82923829543 310212408 12.8091359 49.0235593 12.8209678 50.5800319 12.8316727 51.76794759543 310212409 12.8451948 52.9410866 12.8556181 53.5794537 12.8666048 53.99040709543 310212410 12.8790000 54.1236882 12.8897050 53.9552516 12.9002692 53.53434399543 310212411 12.9105516 52.8881695 12.9240737 51.6999567 12.9387226 50.01143459543 310212412 12.9519629 48.1652503 12.9680204 45.5804716 12.9866133 42.21660459543 310212413 13.0091501 37.7904244 13.0536603 28.7834602 13.0705629 25.52367239543 310212414 13.0846484 22.9491021 13.0987339 20.5317072 13.1092981 18.83331839543 310212415 13.1198622 17.2393320 13.1306024 15.7291239 13.1416947 14.28766899543 310212416 13.1527871 12.9659140 13.1601820 12.1502248 13.1675769 11.38575179543 310212417 13.1749718 10.6712044 13.1823667 10.0050744 13.1897616 9.385670789543 310212418 13.1971565 8.81115483 13.2045514 8.27957279 13.2119463 7.788886339543 310212419 13.2193412 7.33700088 13.2267361 6.92179142 13.2341310 6.541125809543 310212420 13.2415258 6.19288994 13.2505053 5.81061671 13.2584285 5.507556929543 310212421 13.2663515 5.23408531 13.2742747 4.98787294 13.2821978 4.766723809543 310212422 13.2901209 4.56854647 13.2980440 4.39137646 13.3086081 4.184671289543 310212423 13.3191722 4.00806098 13.3297363 3.85794931 13.3403005 3.731132279543 310212424 13.3508646 3.62478657 13.3614287 3.53644218 13.3719928 3.463964289543 310212425 13.3878391 3.38108153 13.4036852 3.32487088 13.4201634 3.290705529543 310212426 13.4379057 3.27828732 13.4556480 3.28890227 13.4733903 3.321436239543 310212427 13.4911326 3.37575936 13.5088748 3.45252862 13.5266171 3.553000269543 310212428 13.5443594 3.67883423 13.5621016 3.83188949 13.5798439 4.014004349543 310212429 13.5975862 4.22675081 13.6132176 4.44042551 13.6229349 4.585789039543 310212430 13.6423695 4.90504788 13.6618041 5.26079674 13.6812387 5.649561949543 310212431 13.7103906 6.28226119 13.7731338 7.72260163 13.8014472 8.337494579543 310212432 13.8266637 8.83444043 13.8518802 9.27200113 13.8786894 9.672217019543 310212433 13.9500921 10.5983031 13.9695575 10.9064500 13.9841566 11.18624269543 310212434 13.9967649 11.4738948 14.0122487 11.9010546 14.0238616 12.28593459543 310212435 14.0354745 12.7357367 14.0470874 13.2594509 14.0587003 13.86635889543 310212436 14.0703132 14.5660533 14.0819260 15.3684797 14.0935390 16.28405899543 310212437 14.1051518 17.3237322 14.1157934 18.3954221 14.1244923 19.36296029543 310212438 14.1331912 20.4189563 14.1418901 21.5696374 14.1505890 22.82179979543 310212439 14.1592878 24.1828970 14.1679867 25.6612200 14.1766856 27.26592869543 310212440 14.1853845 29.0072478 14.1940833 30.8965716 14.2027822 32.94669789543 310212441 14.2135731 35.7348093 14.2214644 37.9618327 14.2293557 40.36271279543 310212442 14.2372469 42.9521436 14.2451382 45.7462800 14.2530295 48.76259319543 310212443 14.2609208 52.0200346 14.2688120 55.5389745 14.2772294 59.60551409543 310212444 14.2856467 64.0228085 14.2940641 68.8210315 14.3024814 74.03173719543 310212445 14.3098467 78.9555931 14.3172118 84.2433488 14.3254538 90.62113969543 310212446 14.3354494 99.0546425 14.3452696 108.140146 14.3536870 116.6011959543 310212447 14.3634371 127.225478 14.3733275 138.953906 14.3817449 149.7249159543 310212448 14.3894608 160.258558 14.3992810 174.603992 14.4099781 191.4529469543 310212449 14.4215519 211.136311 14.4338272 233.658946 14.4468040 259.2674369543 310212450 14.4597808 286.629809 14.4727576 315.594984 14.4902848 356.8810759543 310212451 14.5178818 425.299117 14.5486329 502.425112 14.5700197 553.4438859543 310212452 14.5880423 592.817736 14.6031812 622.260079 14.6154366 643.1021699543 310212453 14.6262502 658.948654 14.6387458 673.985755 14.6502803 684.5127779543 310212454 14.6613341 691.411259 14.6743104 695.380073 14.6800776 695.6880699543 310212455 14.6906509 693.915904 14.7050689 686.672178 14.7166034 676.9761219543 310212456 14.7290991 662.748524 14.7435171 641.859814 14.7555322 621.1386499543 310212457 14.7685084 595.792296 14.7850892 559.657422 14.8035924 515.5718849543 310212458 14.8333898 439.905015 14.8664313 355.477140 14.8826516 315.8253339543 310212459 14.8994727 276.856494 14.9114877 250.646739 14.9235028 225.9491579543 310212460 14.9355178 202.859660 14.9457306 184.542020 14.9541412 170.3728599543 310212461 14.9625517 157.032367 14.9709623 144.514098 14.9793728 132.8061709543 310212462 14.9877834 121.890807 14.9961939 111.746178 15.0046044 102.3461909543 310212463 15.0117383 94.9350632 15.0205243 86.4865516 15.0293104 78.75163049543 310212464 15.0380964 71.6908673 15.0439537 67.3381847 15.0498111 63.25486289543 310212465 15.0556684 59.4289120 15.0615258 55.8481395 15.0673831 52.50073269543 310212466 15.0732405 49.3748215 15.0790978 46.4589850 15.0849552 43.74186439543 310212467 15.0908125 41.2125984 15.0966698 38.8605218 15.1046229 35.93216799543 310212468 15.1109103 33.8187958 15.1171977 31.8709304 15.1234850 30.07763819543 310212469 15.1297724 28.4284662 15.1360597 26.9136417 15.1423471 25.52386309543 310212470 15.1486345 24.2504705 15.1570176 22.7197186 15.1654007 21.36377099543 310212471 15.1737838 20.1666010 15.1821670 19.1138074 15.1905501 18.19259159543 310212472 15.1989332 17.3916065 15.2073163 16.7009278 15.2156995 16.11195099543 310212473 15.2240826 15.6173342 15.2324657 15.2108727 15.2402818 14.90679109543 310212474 15.2511554 14.5975919 15.2620291 14.4147787 15.2729027 14.35379799543 310212475 15.2837764 14.4121304 15.2946499 14.5890225 15.3055236 14.88523099543 310212476 15.3163972 15.3027345 15.3272708 15.8444902 15.3381444 16.51415319543 310212477 15.3490180 17.3158052 15.3591667 18.1868300 15.3689530 19.14225939543 310212478 15.3787392 20.2138445 15.3885255 21.4038889 15.3983118 22.71405019543 310212479 15.4080980 24.1451958 15.4178843 25.6972878 15.4309326 27.95263089543 310212480 15.4439810 30.4144215 15.4570293 33.0717937 15.4700777 35.90902419543 310212481 15.4874755 39.9346857 15.5092227 45.2631631 15.5556169 56.97298319543 310212482 15.5730147 61.1636687 15.5938920 65.7977895 15.6110579 69.15261339543 310212483 15.6254401 71.5659203 15.6379664 73.3280239 15.6509568 74.78807429543 310212484 15.6620914 75.7222779 15.6741539 76.3893846 15.6890000 76.70590389543 310212485 15.7026863 76.5026400 15.7149807 75.9227140 15.7316826 74.56001289543 310212486 15.7465287 72.8347279 15.7611429 70.7176103 15.7790047 67.65708259543 310212487 15.8022017 63.1110461 15.8519594 52.6226594 15.8710970 48.87758309543 310212488 15.8876250 46.0019438 15.8989335 44.2912582 15.9102421 42.83227479543 310212489 15.9215507 41.6614824 15.9328593 40.8146940 15.9403983 40.44760139543 310212490 15.9510505 40.2211275 15.9613745 40.3527587 15.9682571 40.64554779543 310212491 15.9751398 41.1113098 15.9820224 41.7576347 15.9889051 42.59208449543 310212492 15.9957877 43.6221032 16.0026704 44.8550959 16.0095530 46.29828239543 310212493 16.0164357 47.9588086 16.0233183 49.8435414 16.0302010 51.95921549543 310212494 16.0370836 54.3121629 16.0439663 56.9085011 16.0508489 59.75379349543 310212495 16.0594653 63.6746493 16.0672278 67.5553461 16.0749903 71.77187709543 310212496 16.0827528 76.3283808 16.0905153 81.2276047 16.1008654 88.29490139543 310212497 16.1112154 95.9712791 16.1215654 104.248591 16.1319154 113.1117919543 310212498 16.1433632 123.570121 16.1559087 135.772731 16.1684542 148.6800599543 310212499 16.1872723 169.157757 16.2154997 201.584962 16.2487452 240.3182419543 310212500 16.2712016 265.248397 16.2896434 284.087040 16.3054507 298.5811719543 310212501 16.3197526 310.077666 16.3358108 320.869793 16.3488581 327.8172689543 310212502 16.3609018 332.681312 16.3731964 336.052854 16.3880000 337.9358499543 310212503 16.3925165 338.036639 16.4060655 337.030156 16.4181092 334.5337109543 310212504 16.4301528 330.609193 16.4432001 324.865759 16.4587565 316.2112539543 310212505 16.4778256 303.377549 16.4883638 295.461582 16.5184730 270.8868329543 310212506 16.5485822 245.663643 16.5714777 227.686032 16.5907664 214.1334799543 310212507 16.6036255 206.136989 16.6192667 197.677167 16.6330843 191.4287069543 310212508 16.6469018 186.350904 16.6589315 182.867857 16.6709611 180.2194559543 310212509 16.6829908 178.348611 16.7009150 176.838544 16.7127040 176.5492869543 310212510 16.7303876 176.912008 16.7893329 180.565925 16.8076180 181.0105449543 310212511 16.8278278 180.426081 16.8449099 178.821792 16.8605485 176.3425949543 310212512 16.8778712 172.405695 16.8951939 167.212344 16.9086671 162.3375199543 310212513 16.9250274 155.511159 16.9409066 148.043105 16.9601540 138.0777129543 310212514 16.9837322 124.893961 17.0366627 94.0454614 17.0547072 83.90614789543 310212515 17.0703458 75.5168135 17.0847814 68.1848733 17.0992169 61.30662099543 310212516 17.1088407 56.9942088 17.1184644 52.9111098 17.1280881 49.06356769543 310212517 17.1377118 45.4554765 17.1482091 41.7948598 17.1587063 38.42076939543 310212518 17.1692035 35.3303902 17.1797007 32.5189616 17.1901980 29.98011119543 310212519 17.1971961 28.4353217 17.2041943 27.0058695 17.2111924 25.68921879543 310212520 17.2181906 24.4826809 17.2251887 23.3836061 17.2321869 22.38928369543 310212521 17.2391850 21.4971021 17.2461831 20.7044784 17.2538762 19.94507789543 310212522 17.2622643 19.2471459 17.2706524 18.6812858 17.2790404 18.24411399543 310212523 17.2874285 17.9326054 17.2958165 17.7441474 17.3042046 17.67651739543 310212524 17.3125926 17.7279000 17.3206811 17.8888224 17.3284701 18.14623039543 310212525 17.3362590 18.5035409 17.3440479 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79.8287136 27.7488211 78.2204052 27.7673633 76.47532819543 310212750 27.7887581 74.0456213 27.8187108 70.0729330 27.8922555 59.31689699543 310212751 27.9203362 55.5834341 27.9390567 53.4051127 27.9577771 51.54667439543 310212752 27.9742543 50.2158922 27.9907314 49.1993909 28.0072085 48.51713899543 310212753 28.0236856 48.1813910 28.0310046 48.1448031 28.0471061 48.30714629543 310212754 28.0646715 48.8573302 28.0822369 49.7784905 28.0998023 51.04224209543 310212755 28.1173676 52.6111761 28.1396457 54.9681264 28.1619237 57.63433779543 310212756 28.2327564 66.7428216 28.2597186 69.8555583 28.2814254 71.99879659543 310212757 28.3056456 73.8970558 28.3239250 74.9342845 28.3394625 75.52796359543 310212758 28.3618548 75.9040592 28.3647110 75.9112954 28.3842471 75.71921239543 310212759 28.4080103 74.9458007 28.4340585 73.4986583 28.4669614 70.97811339543 310212760 28.5469339 63.6340412 28.5789229 61.0567344 28.6029146 59.50363549543 310212761 28.6214082 58.5785502 28.6424010 57.8399361 28.6616130 57.45920769543 310212762 28.6790441 57.3500735 28.7051907 57.5689391 28.7338954 58.24026129543 310212763 28.7850604 60.0540268 28.8246048 61.4361946 28.8565179 62.19608789543 310212764 28.8849622 62.4487316 28.9095907 62.2870444 28.9349131 61.74331769543 310212765 28.9654387 60.6253205 28.9931892 59.2702111 29.0556278 55.83497959543 310212766 29.0868472 54.4219077 29.1102617 53.7129165 29.1317265 53.42083959543 310212767 29.1351415 53.4103805 29.1522165 53.5192412 29.1727064 54.02483189543 310212768 29.1901689 54.7935222 29.2076313 55.8763150 29.2250937 57.26579309543 310212769 29.2425561 58.9444061 29.2658393 61.5836065 29.2933194 65.17127489543 310212770 29.3769047 77.1231862 29.4043847 80.5723013 29.4265978 82.90404849543 310212771 29.4440018 84.3698293 29.4646119 85.6311463 29.4865959 86.35143839543 310212772 29.4994200 86.4559983 29.5204881 86.1086615 29.5369761 85.38613909543 310212773 29.5552962 84.1298536 29.5699522 82.7956143 29.5891883 80.63011679543 310212774 29.6116303 77.5687822 29.6339579 74.0371182 29.6597205 69.49160699543 310212775 29.6894906 63.8166494 29.7540704 51.0764087 29.7843000 45.38037369543 310212776 29.8089103 41.0271901 29.8311967 37.3544644 29.8479115 34.78339659543 310212777 29.8628433 32.6243420 29.8815638 30.1022022 29.9007300 27.72950119543 310212778 29.9167761 25.9002319 29.9337137 24.1168070 29.9510747 22.43614019543 310212779 29.9704861 20.7196890 29.9872008 19.3671325 30.0072586 17.88174909543 310212780 30.0264248 16.5878116 30.0464824 15.3499177 30.0634200 14.38728399543 310212781 30.0841463 13.3018864 30.1025326 12.4169461 30.1209188 11.60005089543 310212782 30.1420908 10.7395168 30.1579698 10.1489810 30.1738488 9.605269509543 310212783 30.1897278 9.10893370 30.2056067 8.66111245 30.2235751 8.214949519543 310212784 30.2415434 7.83604270 30.2535223 7.62256021 30.2655012 7.441751029543 310212785 30.2774801 7.29488937 30.2894590 7.18332469 30.3014379 7.108474489543 310212786 30.3153432 7.06959136 30.3199782 7.06848182 30.3338834 7.101992049543 310212787 30.3477886 7.19274879 30.3616938 7.34338172 30.3755989 7.556602159543 310212788 30.3895042 7.83520553 30.4034093 8.18204361 30.4173145 8.600043409543 310212789 30.4312197 9.09217229 30.4451249 9.66143574 30.4570718 10.21443639543 310212790 30.4680397 10.7758628 30.4790074 11.3902483 30.4899752 12.05907679543 310212791 30.5009430 12.7837911 30.5155667 13.8394606 30.5301904 15.00027809543 310212792 30.5448141 16.2693751 30.5594378 17.6497114 30.5717350 18.89857639543 310212793 30.5866911 20.5282877 30.6016472 22.2819280 30.6166033 24.16164039543 310212794 30.6315594 26.1692208 30.6465154 28.3060746 30.6664569 31.35803989543 310212795 30.6863983 34.6427565 30.7084668 38.5486863 30.7260153 41.85587379543 310212796 30.7459567 45.8266695 30.7656323 49.9604328 30.7890302 55.14368599543 310212797 30.8125079 60.6183141 30.8443344 68.4303936 30.8804949 77.74746759543 310212798 30.9810276 104.443040 31.0200527 114.131759 31.0505460 120.9657769543 310212799 31.0737188 125.555737 31.0966283 129.460639 31.1163779 132.2426559543 310212800 31.1428299 135.011470 31.1641869 136.370463 31.1875783 136.8960449543 310212801 31.2075934 136.514972 31.2307436 135.103301 31.2510000 133.0206359543 310212802 31.2741502 129.704430 31.2973003 125.451017 31.3190037 120.6917469543 310212803 31.3474591 113.480867 31.3763968 105.256334 31.4101574 94.91547189543 310212804 31.4752674 74.4409962 31.5042051 65.8090092 31.5230297 60.52295459543 310212805 31.5404150 55.9283325 31.5578003 51.6462772 31.5751856 47.70540489543 310212806 31.5925709 44.1272781 31.6041610 41.9508870 31.6165680 39.81006309543 310212807 31.6289750 37.8661610 31.6413820 36.1191305 31.6537889 34.56737479543 310212808 31.6661959 33.2077905 31.6786028 32.0359467 31.6910098 31.04609619543 310212809 31.7034167 30.2313552 31.7146230 29.6393547 31.7258293 29.17717619543 310212810 31.7370356 28.8377022 31.7538451 28.5417604 31.7678530 28.47304989543 310212811 31.7818608 28.5481032 31.8010715 28.8526776 31.8250850 29.49618249543 310212812 31.8490985 30.3455479 31.9153757 33.0212488 31.9422708 33.95761779543 310212813 31.9634027 34.5360730 31.9877363 34.9794576 32.0111094 35.14373539543 310212814 32.0131106 35.1449747 32.0300000 35.0715585 32.0530530 34.72430409543 310212815 32.0761059 34.0907314 32.0914745 33.5133207 32.1094046 32.69069069543 310212816 32.1311768 31.4920238 32.1523087 30.1422347 32.1779230 28.30060639543 310212817 32.2093006 25.8147525 32.2637312 21.2017082 32.3037537 17.82449509543 310212818 32.3309689 15.6376444 32.3501797 14.1747970 32.3693905 12.79171339543 310212819 32.3886013 11.4966315 32.4078121 10.2951194 32.4242213 9.345310889543 310212820 32.4392297 8.53890288 32.4542381 7.79172711 32.4692466 7.102806609543 310212821 32.4842550 6.47061296 32.4992635 5.89312771 32.5092691 5.537367829543 310212822 32.5192747 5.20408272 32.5292803 4.89244049 32.5392859 4.601572399543 310212823 32.5492915 4.33058267 32.5592971 4.07855764 32.5693027 3.844574109543 310212824 32.5823100 3.56584642 32.5943168 3.33248861 32.6063235 3.120503219543 310212825 32.6183303 2.92836814 32.6303370 2.75461930 32.6423438 2.597846819543 310212826 32.6543505 2.45671392 32.6663573 2.32995211 32.6783640 2.216374639543 310212827 32.6903708 2.11487074 32.7023774 2.02441554 32.7143842 1.944060749543 310212828 32.7263909 1.87294483 32.7423999 1.79115161 32.7584089 1.722759289543 310212829 32.7744179 1.66636761 32.7904269 1.62080437 32.8064359 1.585112879543 310212830 32.8224449 1.55853887 32.8373218 1.54151994 32.8579390 1.529572559543 310212831 32.8648115 1.52851862 32.8854287 1.53404798 32.9060460 1.552718459543 310212832 32.9266632 1.58494876 32.9404080 1.61431455 32.9543405 1.650841299543 310212833 32.9682730 1.69451091 32.9822055 1.74570244 32.9961380 1.804828289543 310212834 33.0100705 1.87232675 33.0240030 1.94865425 33.0379355 2.034277189543 310212835 33.0518680 2.12966370 33.0658005 2.23527538 33.0797330 2.351558979543 310212836 33.0936655 2.47893847 33.1075980 2.61780767 33.1215305 2.768523639543 310212837 33.1354630 2.93140117 33.1493955 3.10670889 33.1633280 3.294666979543 310212838 33.1811616 3.55398148 33.1989952 3.83455157 33.2168288 4.136526209543 310212839 33.2346624 4.45998492 33.2524960 4.80498615 33.2703296 5.171630659543 310212840 33.2881632 5.56013976 33.3149136 6.18493109 33.3416640 6.862874779543 310212841 33.3684144 7.59931713 33.3882543 8.18823691 33.4101005 8.885239959543 310212842 33.4279341 9.49758201 33.4486656 10.2663679 33.4673909 11.02160729543 310212843 33.4878996 11.9257474 33.5039498 12.6974094 33.5226751 13.67822869543 310212844 33.5387253 14.5956707 33.5556672 15.6488230 33.5708258 16.67111049543 310212845 33.5868761 17.8418789 33.6011429 18.9632309 33.6185307 20.43748019543 310212846 33.6287850 21.3640437 33.6492936 23.3470971 33.6693564 25.45545219543 310212847 33.6855181 27.2729236 33.7044663 29.5330743 33.7328886 33.16061609543 310212848 33.7605432 36.9140861 33.8444336 48.7916606 33.8765577 53.07814139543 310212849 33.9040926 56.4111147 33.9247439 58.6289521 33.9417238 60.23563309543 310212850 33.9600804 61.7250558 33.9830262 63.1908053 34.0050542 64.15472669543 310212851 34.0280000 64.6776792 34.0395877 64.7530777 34.0592063 64.59488839543 310212852 34.0830699 63.9332304 34.1073925 62.7637534 34.1287321 61.36768609543 310212853 34.1553493 59.2127621 34.1817370 56.7159081 34.2161557 53.09729139543 310212854 34.2875716 45.2664840 34.3190244 42.0825647 34.3386823 40.26988379543 310212855 34.3589019 38.5832306 34.3791215 37.1022100 34.3966452 36.00144159543 310212856 34.4186621 34.8769426 34.4366351 34.1834400 34.4570794 33.64902479543 310212857 34.4761757 33.3997429 34.4869595 33.3666199 34.5049325 33.48416759543 310212858 34.5215576 33.7837880 34.5386320 34.2792590 34.5539090 34.87974879543 310212859 34.5721067 35.7815822 34.5932249 37.0685612 34.6122089 38.42894439543 310212860 34.6374834 40.5044957 34.6643235 42.9822746 34.7090569 47.52412119543 310212861 34.7670769 53.5536544 34.7966341 56.3850565 34.8250967 58.79500799543 310212862 34.8474289 60.4005259 34.8728264 61.8656858 34.8973480 62.87792129543 310212863 34.9209938 63.4594757 34.9455154 63.6508924 34.9726644 63.39371239543 310212864 34.9945587 62.8579278 35.0241160 61.7382787 35.0517029 60.37273419543 310212865 35.1578903 54.1446347 35.1944960 52.3017426 35.2157756 51.40365079543 310212866 35.2515307 50.2079253 35.2872858 49.3775435 35.3319796 48.70633039543 310212867 35.4003613 47.8224235 35.4374572 47.0490041 35.4674021 46.12675249543 310212868 35.4928775 45.0847866 35.5205878 43.6594662 35.5429347 42.28647399543 310212869 35.5617061 40.9855424 35.5867347 39.0602941 35.6180204 36.39826339543 310212870 35.6627142 32.2747629 35.7163469 27.2287757 35.7479119 24.41888439543 310212871 35.7684432 22.7175398 35.7889744 21.1451061 35.8095057 19.72265039543 310212872 35.8231932 18.8664104 35.8368807 18.0888185 35.8541996 17.22287239543 310212873 35.8699123 16.5551630 35.8856249 16.0021807 35.9013377 15.56503869543 310212874 35.9170503 15.2436360 35.9319073 15.0450472 35.9450529 14.95310769543 310212875 35.9538167 14.9345606 35.9669623 14.9691809 35.9801079 15.07637749543 310212876 35.9976353 15.3269909 36.0151628 15.6933198 36.0326902 16.16657369543 310212877 36.0502177 16.7373731 36.0677451 17.3959685 36.0856770 18.15035559543 310212878 36.1125749 19.4123810 36.1394726 20.8022731 36.1702130 22.51254979543 310212879 36.2097363 24.8618713 36.2501379 27.4303222 36.2855625 29.86850829543 310212880 36.3133753 31.9694958 36.3397242 34.1826548 36.3590467 35.99063049543 310212881 36.3794377 38.1147901 36.3996490 40.4876239 36.4193036 43.10082979543 310212882 36.4322210 45.0074540 36.4473656 47.4573603 36.4665192 50.92346349543 310212883 36.4830000 54.2685420 36.4976992 57.5600974 36.5159618 62.08390349543 310212884 36.5311064 66.2217229 36.5504826 72.0517246 36.5685225 78.03840159543 310212885 36.5858942 84.3211043 36.6032659 91.1104619 36.6247023 100.1687839543 310212886 36.6453034 109.542680 36.6659045 119.508014 36.6968061 135.3679619543 310212887 36.7843862 182.589302 36.8154843 198.369714 36.8425697 210.8499389543 310212888 36.8636362 219.448348 36.8818938 225.952467 36.9019570 231.9446209543 310212889 36.9252304 237.217358 36.9477013 240.458157 36.9693697 241.7707359543 310212890 36.9725798 241.810657 36.9934456 241.091881 37.0127063 238.9327829543 310212891 37.0287569 236.061518 37.0520304 230.243039 37.0706893 224.2535499543 310212892 37.0943639 215.123204 37.1154303 205.738248 37.1395062 193.8102099543 310212893 37.1696012 177.539466 37.2147436 151.543599 37.2636479 123.2182189543 310212894 37.2914857 107.802469 37.3163140 94.8017413 37.3351233 85.52679849543 310212895 37.3539327 76.8051468 37.3727420 68.6739034 37.3852815 63.59312719543 310212896 37.3978211 58.7891183 37.4103606 54.2634607 37.4244677 49.50392729543 310212897 37.4385747 45.0922804 37.4526817 41.0222812 37.4667886 37.28556449543 310212898 37.4761933 34.9745736 37.4855979 32.8038536 37.4950026 30.76976119543 310212899 37.5044072 28.8685672 37.5138119 27.0963316 37.5232165 25.44910929543 310212900 37.5326212 23.9228423 37.5420258 22.5135410 37.5514305 21.21719099543 310212901 37.5608351 20.0299086 37.5712909 18.8333077 37.5817466 17.76178129543 310212902 37.5922023 16.8105398 37.6026580 15.9750991 37.6131137 15.25130329543 310212903 37.6235694 14.6353547 37.6340252 14.1238359 37.6444808 13.71375069543 310212904 37.6549366 13.4024938 37.6653923 13.1879172 37.6723627 13.09770829543 310212905 37.6827994 13.0406707 37.6932361 13.0763598 37.7036728 13.20422159543 310212906 37.7141094 13.4241211 37.7245461 13.7363394 37.7349828 14.14154349543 310212907 37.7454195 14.6407735 37.7558561 15.2354110 37.7662928 15.92717459543 310212908 37.7767295 16.7180539 37.7871662 17.6102976 37.7976028 18.60635849543 310212909 37.8080395 19.7088918 37.8184762 20.9206531 37.8289129 22.24448759543 310212910 37.8393495 23.6832553 37.8513919 25.4899518 37.8634342 27.45770569543 310212911 37.8754765 29.5905148 37.8875188 31.8919823 37.8995611 34.36520579543 310212912 37.9116035 37.0126730 37.9236458 39.8360469 37.9356881 42.83617139543 310212913 37.9517445 47.1108053 37.9678009 51.6956130 37.9846602 56.83513449543 310212914 38.0015194 62.2941233 38.0239984 70.0346246 38.0464774 78.24311559543 310212915 38.0744155 88.9689787 38.1630469 124.330957 38.1964442 136.8591669543 310212916 38.2252173 146.654663 38.2498800 154.043021 38.2745426 160.2934779543 310212917 38.2930396 164.131015 38.3166747 167.869150 38.3361993 169.9088299543 310212918 38.3577791 171.014436 38.3660000 171.113398 38.3865522 170.5819829543 310212919 38.4050492 169.163842 38.4256014 166.576744 38.4430708 163.5808149543 310212920 38.4646506 158.940423 38.4893133 152.492888 38.5124346 145.4952529543 310212921 38.5406939 135.938408 38.5746715 123.414792 38.6558966 92.03117089543 310212922 38.6866083 80.6615779 38.7132679 71.3547660 38.7351275 64.20884009543 310212923 38.7514389 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11.51564179543 310213781 118.376518 11.9474125 118.418367 12.2628960 118.464998 12.52533979543 310213782 118.509837 12.6880443 118.558262 12.7698255 118.581952 12.77764469543 310213783 118.630601 12.7385308 118.789030 12.4084653 118.833868 12.38157499543 310213784 118.863760 12.4125441 118.903114 12.5337223 118.931499 12.69030899543 310213785 118.959885 12.9148771 118.982803 13.1515526 119.009715 13.49869129543 310213786 119.036627 13.9265154 119.063539 14.4406151 119.090451 15.04580999543 310213787 119.117363 15.7460433 119.144275 16.5442840 119.171187 17.44243459543 310213788 119.202693 18.6217972 119.229768 19.7448458 119.256843 20.96710969543 310213789 119.292943 22.7451362 119.329043 24.6816611 119.372363 27.19169949543 310213790 119.415683 29.8705971 119.487882 34.5872830 119.588961 41.28965399543 310213791 119.640945 44.5535227 119.693795 47.5934012 119.741447 50.00091289543 310213792 119.787655 51.9599323 119.827509 53.3067401 119.870829 54.37282689543 310213793 119.907795 54.9334298 119.940718 55.1518963 119.950537 55.16512029543 310213794 119.983171 55.0371475 120.022223 54.5393733 120.062885 53.63286969543 310213795 120.105179 52.2915640 120.150902 50.4217154 120.191400 48.44173719543 310213796 120.231245 46.2391314 120.280234 43.2503262 120.343921 39.03670069543 310213797 120.489256 28.9969454 120.538246 25.7573740 120.581945 23.02148889543 310213798 120.615062 21.0691405 120.648179 19.2366444 120.681296 17.53570559543 310213799 120.714413 15.9760142 120.736491 15.0186296 120.758645 14.12649699543 310213800 120.780874 13.3019812 120.803103 12.5495728 120.825331 11.87040349543 310213801 120.847560 11.2652958 120.869789 10.7349766 120.892018 10.27997869543 310213802 120.914246 9.90071434 120.934608 9.61997738 120.953102 9.420387579543 310213803 120.971596 9.27360352 120.990090 9.17966626 121.008584 9.138588939543 310213804 121.017831 9.13786988 121.036325 9.17605200 121.054819 9.267018209543 310213805 121.073313 9.41069496 121.091808 9.60699355 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17.1688729 124.544045 18.70838089543 310213831 124.662141 22.1453938 124.728570 23.9574074 124.776547 25.13011599543 310213832 124.828952 26.2365458 124.877667 27.0748160 124.924905 27.69772149543 310213833 124.963286 28.0627614 125.012000 28.3477734 125.063667 28.44691329543 310213834 125.123453 28.3365871 125.171430 28.1104134 125.278455 27.35602769543 310213835 125.379822 26.6286240 125.440594 26.3219564 125.506261 26.17301119543 310213836 125.528149 26.1730101 125.585061 26.2992054 125.633216 26.55160999543 310213837 125.681080 26.9319742 125.747621 27.6573491 125.826421 28.75790669543 310213838 126.018458 31.8920048 126.101637 33.0798973 126.162925 33.74424769543 310213839 126.214756 34.1135472 126.270282 34.2735075 126.279759 34.27406039543 310213840 126.329726 34.1392506 126.377971 33.7807972 126.427767 33.17034019543 310213841 126.479974 32.2726161 126.532182 31.1273893 126.588181 29.65625289543 310213842 126.653656 27.6821234 126.745838 24.6224451 126.830879 21.75646559543 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128.316836 19.4736305 128.397647 16.90285419543 310213856 128.490579 13.8942988 128.545800 12.1760011 128.593838 10.76433429543 310213857 128.627509 9.83340031 128.661181 8.95742518 128.694852 8.140912209543 310213858 128.728523 7.38702101 128.750971 6.92023318 128.781579 6.330608069543 310213859 128.810656 5.82066055 128.839732 5.35925385 128.859117 5.078198519543 310213860 128.878501 4.81801411 128.897886 4.57825447 128.917270 4.358461529543 310213861 128.936655 4.15807387 128.956039 3.97652516 128.975424 3.813168359543 310213862 128.994808 3.66735780 129.014193 3.53838832 129.033577 3.425561769543 310213863 129.052961 3.32814431 129.072345 3.24539951 129.098241 3.156465849543 310213864 129.122668 3.09378102 129.146361 3.05123452 129.170054 3.025343259543 310213865 129.193748 3.01483738 129.201645 3.01454187 129.233236 3.028224919543 310213866 129.264827 3.06370756 129.296418 3.11852936 129.328009 3.190486949543 310213867 129.359600 3.27766435 129.401032 3.41243482 129.442463 3.567951079543 310213868 129.483894 3.74260009 129.525324 3.93592636 129.566203 4.145731669543 310213869 129.615920 4.42925326 129.660113 4.71178141 129.699887 4.995379479543 310213870 129.741870 5.33060935 129.776120 5.63603042 129.812580 5.997600259543 310213871 129.834676 6.23716072 129.870583 6.66298736 129.906490 7.138555109543 310213872 129.941707 7.65822619 129.976923 8.23524700 130.009972 8.832750989543 310213873 130.038685 9.39839824 130.067399 10.0092360 130.096113 10.66674779543 310213874 130.134397 11.6179711 130.173183 12.6701582 130.212470 13.82727759543 310213875 130.251757 15.0754514 130.291043 16.4123024 130.336269 18.05610169543 310213876 130.387433 20.0409587 130.449561 22.6080076 130.527221 26.00752709543 310213877 130.745217 35.9366711 130.816481 39.0086810 130.891766 41.97867169543 310213878 130.943844 43.8033566 130.990440 45.2379528 131.035209 46.41317389543 310213879 131.083493 47.4313851 131.116853 47.9713549 131.164652 48.49779689543 310213880 131.209464 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134.067630 33.61371569543 310213893 134.101934 34.8259818 134.136237 36.2407214 134.170541 37.86782579543 310213894 134.204844 39.7130291 134.239148 41.7778735 134.270958 43.88604969543 310213895 134.311710 46.8481482 134.352461 50.0826793 134.393212 53.55801869543 310213896 134.465749 60.2082301 134.618973 74.9600123 134.693955 81.73242789543 310213897 134.745465 85.9333291 134.794366 89.4642133 134.845550 92.59552409543 310213898 134.896081 95.0534029 134.945634 96.8085631 134.992580 97.85346769543 310213899 135.037896 98.2912551 135.049306 98.3145102 135.104727 97.94718469543 310213900 135.137328 97.3760193 135.190114 95.9418723 135.232421 94.38591589543 310213901 135.292860 91.6400799 135.369012 87.5301559 135.557581 76.35834009543 310213902 135.631316 72.4450660 135.685711 69.9702348 135.743128 67.83728779543 310213903 135.797523 66.3290947 135.840680 65.5076142 135.888559 64.98667409543 310213904 135.920478 64.8606116 135.968454 64.9813725 136.016625 65.43603179543 310213905 136.080853 66.4546740 136.282873 70.7005505 136.350663 71.70612229543 310213906 136.414860 72.1588627 136.432368 72.1823850 136.490281 71.92740669543 310213907 136.543480 71.2291583 136.588149 70.3038320 136.651000 68.51465189543 310213908 136.718339 66.0542843 136.801269 62.4543250 137.031817 51.41904949543 310213909 137.119481 47.5603780 137.199433 44.3832940 137.278574 41.56466399543 310213910 137.369971 38.6619952 137.451410 36.3284776 137.548278 33.79649329543 310213911 137.637432 31.6899433 137.715155 30.0732485 137.765733 29.16889739543 310213912 137.815739 28.4212636 137.865745 27.8492392 137.908607 27.52142999543 310213913 137.947183 27.3700056 137.964328 27.3494649 137.998618 27.39901929543 310213914 138.032908 27.5735440 138.067197 27.8761302 138.110060 28.43532509543 310213915 138.155255 29.2376954 138.201616 30.2735407 138.247977 31.50075249543 310213916 138.300885 33.0914952 138.389064 36.0193505 138.476538 38.95041749543 310213917 138.538617 40.8319824 138.589408 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