95-Am-243 ENDF/B-VII.1 Processed by Red Cullen using PREPRO2012 7100 0 0 0 95243.0000 240.973400 2 1 0 09549 1451 1 0.0 1.00000000 0 0 0 69549 1451 2 1.00000000 30000000.0 1 0 10 79549 1451 3 293.600000 0.0 1 0 591 699549 1451 4 95-Am-243 LANL,BNL EVAL-JUL11 S.F. Mughabghab,P.G.Young, Talou 9549 1451 5 DIST-DEC06 20111222 9549 1451 6 ----ENDF/B-VII.1 MATERIAL 9549 9549 1451 7 -----INCIDENT NEUTRON DATA 9549 1451 8 ------ENDF-6 FORMAT 9549 1451 9 9549 1451 10 ============================================================== 9549 1451 11 Covariances - BNL, July, 2011: Covariances were adopted from 9549 1451 12 COMMARA-2.0, which were supplied by BNL. Covariances are 9549 1451 13 combination of the uncertainties recommended in the assessment of 9549 1451 14 Ref. [1] and correlation matrices produced by the WPEC Subgroup 9549 1451 15 26 [2] converted to the AFCI 33-energy group structure. 9549 1451 16 9549 1451 17 Following the low-fidelity approach, the uncertainties in the 9549 1451 18 low energy region are based on experimental uncertainties of 9549 1451 19 thermal cross sections, uncertainties of the resonance integrals 9549 1451 20 and uncertainty of the scattering radius. 9549 1451 21 9549 1451 22 In the fast region the initial estimates [2] were obtained using 9549 1451 23 EMPIRE/KALMAN system with default parameterization roughly 9549 1451 24 adjusted to reproduce trends in the experimental data. The KALMAN 9549 1451 25 code was run with default uncertainties assigned to the key model 9549 1451 26 parameters to produce covariances. The assessment [2] modified 9549 1451 27 considerably elastic uncertainties, slightly increased fission 9549 1451 28 uncertainties above 6 MeV, reduced those of inelastic, doubled 9549 1451 29 (n,2n) uncertainties, and essentially confirmed capture and 9549 1451 30 nu-bar uncertainties. 9549 1451 31 9549 1451 32 [1] V.M. Maslov, P. Oblozinsky, M. Herman, "Review and Assessment 9549 1451 33 of Neutron Cross Section and Nu-bar Covariances for Advanced 9549 1451 34 Reactor Systems," Report BNL-81884-2008-IR, Brookhaven 9549 1451 35 National Laboratory (2008). 9549 1451 36 9549 1451 37 [2] D. Rochman, M. Herman, P. Oblozinsky, and S. F. Mughabghab, 9549 1451 38 "Preliminary Cross Section Covariances for WPEC Subgroup 26," 9549 1451 39 Report BNL-77407-2007-IR, Brookhaven National Laboratory (2007). 9549 1451 40 9549 1451 41 ---------------------------------------------------------------- 9549 1451 42 MODIFICATION TO ENDF/B-VII.1,BETA3: M.Chadwick,P.Young,P.Talou 9549 1451 43 The MF8,MT16 metastable cross section was renormalized so that 9549 1451 44 the value at 14.0 MeV is 0.16 b. This was done to make the data 9549 1451 45 more consistent with other similar actinides. V. Maslov has 9549 1451 46 presented arguments that the cross section should be approximately9549 1451 47 that value near 14 MeV. Appropriate changes were made to MF3, 9549 1451 48 MT2 and MT16 so the cross sections appropriately sum. 9549 1451 49 9549 1451 50 ---------------------------------------------------------------- 9549 1451 51 THERMAL REGION 9549 1451 52 9549 1451 53 Evaluation, July 2011 by S. F. Mughabghab (BNL) 9549 1451 54 9549 1451 55 A new evaluation for the thermal, resonance and unresolved 9549 1451 56 resonance regions is carried out for version ENDF/B.VII.1, 9549 1451 57 motivated by the results of the analysis of Palmiotti and Hiruta 9549 1451 58 [Pu11], where a 16.6% discrepancy was observed between measured 9549 1451 59 and calculated capture reaction rates for Am-243, when the 9549 1451 60 ENDF/BVII.0 was used in the calculations. 9549 1451 61 A detailed analysis and careful examination of measured and 9549 1451 62 evaluated capture cross sections of ENDF/B.VII.0 in the thermal, 9549 1451 63 resonance and unresolved energy regions revealed that the source 9549 1451 64 of the discrepancy 9549 1451 65 is generated by the thermal capture cross section adopted by 9549 1451 66 Weston and Todd [We85] in their measurements, as well as the 9549 1451 67 calculated capture cross section values, generated by the nuclear 9549 1451 68 model in the energy region 40-800 keV. 9549 1451 69 9549 1451 70 Based on recent thermal capture cross section measurements of 9549 1451 71 Marie et al. [Ma06], thermal reactor cross section of Ohta et 9549 1451 72 al. [Oh06], as well as an earlier pile neutron cross section 9549 1451 73 measurement of Butler et al. [Bu56]( corrected for the presently 9549 1451 74 evaluated resonance integral) an evaluated 2200 m/s cross 9549 1451 75 section of 80.4-+2.1 b is derived in the present analysis. 9549 1451 76 This is to be compared with an Atlas [Mu06] and ENDF/B.VII.0 9549 1451 77 values of 75.1-+1.8 b and 75.11 b, respectively. 9549 1451 78 9549 1451 79 The thermal fission cross section of 81.3 mb is adopted from the 9549 1451 80 work of Kobayashi et al.[Ko] 9549 1451 81 9549 1451 82 ---------------------------------------------------------------- 9549 1451 83 9549 1451 84 RESOLVED RESONANCE PARAMETERS in MLBW 9549 1451 85 9549 1451 86 Evaluation, July 2011 by S.F. Mughabghab (BNL) 9549 1451 87 9549 1451 88 The resolved resonance parameters up to 250 eV were adopted 9549 1451 89 from the Atlas of Neutron Resonances [Mu06] with minor changes: 9549 1451 90 9549 1451 91 9549 1451 92 1. A bound level was invoked to reproduce a 2200 m/s capture 9549 1451 93 cross sectionof 80.4 b and a fission cross section of 81.3 mb.9549 1451 94 9549 1451 95 2. The scattering and capture widths of the resonance at 1.356 eV9549 1451 96 were modified in order that the capture resonance integral is 9549 1451 97 in better agreement with direct measurements. 9549 1451 98 9549 1451 99 Other considerations are: 9549 1451 100 9549 1451 101 An average radiative widths of 39 meV [Mu06] was adopted 9549 1451 102 for resonances whose capture widths had not been determined 9549 1451 103 from measurements [Mu06]. 9549 1451 104 9549 1451 105 L that had not been determined from measurements was 9549 1451 106 assigned by applying the Bayesian approach. 9549 1451 107 9549 1451 108 J that had not been determined from measurements was 9549 1451 109 assigned randomly to follow the 2J+1 rule for density of 9549 1451 110 levels 9549 1451 111 9549 1451 112 An effective scattering radius of 9.4 fm was adopted from 9549 1451 113 the Atlas and deformed optical model calculation 9549 1451 114 [Mu06,Fig. 1.2]. 9549 1451 115 9549 1451 116 Calculated thermal cross sections and resonance integrals: 9549 1451 117 -------------------------------------------- 9549 1451 118 Reaction Cross section Res. integral 9549 1451 119 (barn) (barn) 9549 1451 120 Total 88.333 - 9549 1451 121 Elastic 7.866 - 9549 1451 122 Fission 0.0813 1.77*, 1.998** 9549 1451 123 Capture 80.40 2050.65 9549 1451 124 --------------------------------------------- 9549 1451 125 9549 1451 126 * integrated to first ineslatic channel at 42 keV. 9549 1451 127 ** integrated to 20 MeV. 9549 1451 128 9549 1451 129 UNRESOLVED RESONANCE REGION 9549 1451 130 9549 1451 131 Evaluation, July 2011 by S.F. Mughabghab (BNL) 9549 1451 132 9549 1451 133 9549 1451 134 Average level spacings and neutron strength functions 9549 1451 135 9549 1451 136 for s-, p-,and d-wave neutrons are adopted from 9549 1451 137 Mughabghab [Mu06] 9549 1451 138 9549 1451 139 Average radiative widths for s-, p- and d-wave neutrons are 9549 1451 140 39.1 meV, 68.8, 52.0 meV meV, respectively. The s- and p- 9549 1451 141 values are from a least-squares fit to the capture data of 9549 1451 142 Weston and Todd [We85], normalized to the thermal capture 9549 1451 143 cross section of the present work, 80.4 b. 9549 1451 144 The radiative width for d-wave neutrons is computed as the 9549 1451 145 geometric mean of s-wave and p-wave neutrons. 9549 1451 146 9549 1451 147 9549 1451 148 Energy-dependence of level spacing was calculated according to 9549 1451 149 the Gilbert-Cameron's level density formula with associated 9549 1451 150 parameters from Mughabghab [Mu98]. 9549 1451 151 9549 1451 152 9549 1451 153 9549 1451 154 Average resonance parameters: 9549 1451 155 9549 1451 156 S (10**4) D(eV)* Capture width (meV) 9549 1451 157 9549 1451 158 s-wave 0.98 0.66 39.1 9549 1451 159 p-wave 2.60 0.36 68.8 9549 1451 160 d-wave 0.98 0.24 52.0 9549 1451 161 9549 1451 162 * Level spacing at the neutron separation energy of target+n. 9549 1451 163 9549 1451 164 FAST CAPTURE CROSS SECION 43 keV - 20 MeV 9549 1451 165 9549 1451 166 Evaluation, July 2011 by S.F. Mughabghab, S. Hoblit (BNL) 9549 1451 167 9549 1451 168 The calculated capture cross section at 42 keV based on 9549 1451 169 the present unresolved resonance parameters is 15.5% 9549 1451 170 larger than that of the ENDF/B.VII.0. This number is in 9549 1451 171 remarkable agreement within the experimental uncertainties, 9549 1451 172 with the discrepancy observed by Palmiotti and Hiruta [Pa11]. 9549 1451 173 As a result of the present analysis, the capture cross 9549 1451 174 section of ENDF/B.VII.0 above 43 keV is normalized 9549 1451 175 by 1.155, thus resolving the discrepancy for Am-243. 9549 1451 176 9549 1451 177 9549 1451 178 REFERENCES 9549 1451 179 9549 1451 180 {Bu56} J. Butler, M. Lounsbury, and J. Merritt, Can. J. Phys. 9549 1451 181 34, 253 (1956). 9549 1451 182 9549 1451 183 [Ko99] K. Kobayashi, T. Kai, S. Yamamoto et al., J. Nucl. Sci. 9549 1451 184 Tech., 36, 20 (1999). 9549 1451 185 9549 1451 186 [Ma06] F. Marie, A. Letourneau, G. Fioni, Nucl. Inst., Meth./A 9549 1451 187 556,547 (2006). 9549 1451 188 9549 1451 189 [Mu06] S. F. Mughabghab, Atlas of Neutron Resonances, Elsevier 9549 1451 190 Holland, 2006 9549 1451 191 9549 1451 192 [Mu98] Mughabghab,S.F. and Dunford,C.L., Proc.Int.Conf. on Phys.9549 1451 193 of Nuclear Sciene and Technology, Long Island, New York 9549 1451 194 p. 784. 9549 1451 195 9549 1451 196 [Oh06] M. Ohta, S. Nakaruma, H. Harada et al. J. Nucl.Sci. 9549 1451 197 Tech., 43,1441 (2006). 9549 1451 198 9549 1451 199 [Pa11] G. Palmiotti and H. Hiruta, Mini CSWEG Meeting, June 22 9549 1451 200 (2011), Montauk N.Y. 9549 1451 201 9549 1451 202 [We85] L.W. Weston and J.H. Todd, Nucl. Sci. Eng.,91,444(1985). 9549 1451 203 9549 1451 204 *************************************************** 9549 1451 205 9549 1451 206 9549 1451 207 95-Am-243 LANL,ORNL EVAL-JAN06 P.G.Young, L.W.Weston, P.Talou 9549 1451 208 YO96 DIST-DEC06 9549 1451 209 ----ENDF/B-VII MATERIAL 9549 9549 1451 210 -----INCIDENT NEUTRON DATA 9549 1451 211 ------ENDF-6 FORMAT 9549 1451 212 9549 1451 213 ---------------------------------------------------------------- 9549 1451 214 9549 1451 215 ENDF/B-VII Evaluation, January 2006, P.G.Young, P.Talou (LANL) 9549 1451 216 9549 1451 217 ---------------------------------------------------------------- 9549 1451 218 9549 1451 219 ** Fission cross section 9549 1451 220 9549 1451 221 The fission cross section was re-analyzed in view of experimental9549 1451 222 data not available at the time of the ENDF/B-VI evaluation. In 9549 1451 223 particular, fission cross sections experimental data tend to 9549 1451 224 cluster in two distinct groups, in the 1-6 MeV range, separated 9549 1451 225 by about 20% from each other. The most recent experimental data 9549 1451 226 set is by Laptev [LA04], and those values lie in the higher- 9549 1451 227 energy group, about 20% higher than the ENDF/B-VI evaluation. 9549 1451 228 However, such higher values would be in disagreement with the 9549 1451 229 averaged cross sections obtained in the ZEBRA reactor spectrum 9549 1451 230 [SW77]. Because of an uncertainty in the normalization used near 9549 1451 231 the 1-MeV region, we decided to keep the ENDF/B-VI evaluated 9549 1451 232 values unchanged, in agreement with the ZEBRA data. More 9549 1451 233 explanations can be found in Ref. [TA06]. 9549 1451 234 9549 1451 235 ** Am-243 (n,2n) Am-242g,m cross sections 9549 1451 236 9549 1451 237 A new section in MF10, MT16 has been added to distinguish between9549 1451 238 the Am-243 (n,2n) cross section feeding the ground-state in 9549 1451 239 Am-242 versus the one feeding the long-lived metastable state 9549 1451 240 in Am-242. The calculations are in very good agreement with data 9549 1451 241 by Gancarz [GA83] for the (n,2n) cross section to the ground- 9549 1451 242 state of Am-242. 9549 1451 243 9549 1451 244 [GA83] M.MacInnes, private communication (2005), based on exp. 9549 1451 245 by Gancarz in 1983. 9549 1451 246 9549 1451 247 [LA04] A.B.Laptev et al., Nucl. Phys. A734, E45 (2004). 9549 1451 248 9549 1451 249 [SW77] D.W.Sweet, report AEEW-R-1090 (1977). 9549 1451 250 9549 1451 251 [TA06] P.Talou, T.Kawano, P.G.Young, R.E.MacFarlane, and M.B. 9549 1451 252 Chadwick, Los Alamos report LA-UR-06-0318, submitted to Nuclear 9549 1451 253 Science and Engineering for publication. 9549 1451 254 9549 1451 255 **************************************************************** 9549 1451 256 9549 1451 257 ENDF/B-VII CONVERTED FROM ENDF/B-VI BY NNDC OCT 2004 9549 1451 258 9549 1451 259 **************************************************************** 9549 1451 260 9549 1451 261 ENDF/B-VI MOD 2 Evaluation, September 1996, P.G. Young (LANL) 9549 1451 262 9549 1451 263 SUMMARY 9549 1451 264 The cross section data file for neutron reactions with 243Am 9549 1451 265 has been reevaluated over the incident neutron energy range from 9549 1451 266 0.042 to 30 MeV. Details of the analysis are given in the 9549 1451 267 sections that follow. Some general features of the work are: 9549 1451 268 9549 1451 269 1. The ENDF/B-VI, Release 1, n + 243Am resonance parameters were 9549 1451 270 adopted at neutron energies below 42 keV, suitably joined with 9549 1451 271 the results of the present analysis at 42 keV. Additionally, 9549 1451 272 the evaluation by Howerton in ENDF/B-VI.1 was used for MT=3,18 9549 1451 273 gamma-ray production data, and the radioactivity decay data in 9549 1451 274 file 8 and 9 was taken over from ENDF/B-VI.1. 9549 1451 275 9549 1451 276 2. A coupled-channel optical model potential was developed from 9549 1451 277 analyses of nearby actinides that is consistent with 9549 1451 278 measurements of the n + 241Am neutron total cross section. After9549 1451 279 an isospin correction, this potential was used in the n + 243Am 9549 1451 280 analysis to calculate the neutron total cross section, elastic 9549 1451 281 and inelastic scattering cross sections and angular 9549 1451 282 distributions, and reaction cross sections and transmission 9549 1451 283 coefficients for a theoretical analysis of the reaction 9549 1451 284 channels. The direct cross sections from the coupled-channel 9549 1451 285 analysis were combined with compound nucleus calculations at 9549 1451 286 lower energies and with preequilibrium theory calculations at 9549 1451 287 higher energies. Angular distributions for the first 13 excited 9549 1451 288 states of 243Am were obtained from the direct, compound-nucleus, 9549 1451 289 and preequilibrium calculations. Energy-angle correlated 9549 1451 290 distributions are provided for all continuum neutrons. 9549 1451 291 9549 1451 292 3. The evaluated fission cross section were obtained by making 9549 1451 293 minor adjustments to the theoretical cross sections as needed to 9549 1451 294 match the available experimental data. 9549 1451 295 9549 1451 296 4. Values of prompt nubar were obtained from calculations by 9549 1451 297 Madland [Ma94] using Madland-Nix theory. The fission neutron 9549 1451 298 spectra were taken from the n + 241Am ENDF/B-VI.3 evaluation, 9549 1451 299 which was also based on Madland-Nix theory. The latter will be 9549 1451 300 replaced in the future with Madland-Nix calculations 9549 1451 301 specifically for n + 243Am. 9549 1451 302 9549 1451 303 THEORETICAL ANALYSIS 9549 1451 304 The primary goal of the theoretical analysis was to provide 9549 1451 305 a consistent set of data for all reactions over the energy range 9549 1451 306 40 keV to 30 MeV. In the case of n + 243Am, there are reasonable9549 1451 307 experimental data available only for the fission (En < 10 MeV and9549 1451 308 14 MeV) and radiative capture (En < 300 keV) cross sections. 9549 1451 309 Therefore, the function of the theoretical analysis was to 9549 1451 310 provide the total, elastic, inelastic, (n,2n), (n,3n) and (n,4n) 9549 1451 311 cross sections, together with a smooth representation of the 9549 1451 312 (n,f) and (n,g) cross sections, and the angular and energy 9549 1451 313 distributions of secondary neutrons. To accomplish this, 9549 1451 314 parameters obtained in the theoretical analysis of n + 241Am 9549 1451 315 reactions, performed earlier for the ENDF/B-VI.3 241Am 9549 1451 316 evaluation, were utilized for 243Am, adjusting the relevant 9549 1451 317 parameters to match the fission and (n,g) cross sections. 9549 1451 318 Additionally, a theoretical analysis [Ma94] was performed to 9549 1451 319 obtain the average neutron multiplicity from fission using the 9549 1451 320 Madland-Nix formalism. A similar analysis of the energy spectra 9549 1451 321 of fission neutrons as a function of incident energy will be 9549 1451 322 performed by D. Madland in the future. 9549 1451 323 Coupled-channel deformed optical model calculations were 9549 1451 324 performed with the ECIS code [Ra70] over the incident neutron 9549 1451 325 energy range from 0.001 to 30 MeV. Hauser-Feshbach reaction 9549 1451 326 theory calculations were carried out with the LANL version of 9549 1451 327 the COMNUC code [Du70] at lower energies and the GNASH 9549 1451 328 statistical/preequilibrium code [Yo92] at higher energies to 9549 1451 329 obtain all partial reaction cross section data. Both reaction 9549 1451 330 theory codes used neutron transmission coefficients from the 9549 1451 331 optical model analysis. 9549 1451 332 9549 1451 333 A. Optical Model 9549 1451 334 The optical model potential was obtained by considering 9549 1451 335 several coupled-channel parameterizations developed from 9549 1451 336 n+235,238U and 239Pu experimental data [Ma78],[Yo88],[Yo92a]. 9549 1451 337 Parameters were adjusted until a reasonable fit to experimental 9549 1451 338 data for the neutron total cross section of 241Am was obtained. 9549 1451 339 The calculations for 243Am included the lowest five members of 9549 1451 340 the 5/2- ground state rotational band, that is, the 7/2-, 9/2-, 9549 1451 341 11/2- and 13/2- excited states at Ex = 42, 96, 163 and 241 keV 9549 1451 342 were coupled with the 5/2- ground state. 9549 1451 343 9549 1451 344 B. Reaction Theory Calculations 9549 1451 345 The Hauser-Feshbach statistical calculations were performed 9549 1451 346 with the COMNUC [Du70] and GNASH [Yo92b] codes. Both codes 9549 1451 347 include a double-humped fission barrier model, using uncoupled 9549 1451 348 oscillators for the barrier representation in GNASH and coupled 9549 1451 349 or uncoupled oscillators in COMNUC, as described by Arthur 9549 1451 350 [Ar82]. The COMNUC calculations include the possibility of 9549 1451 351 width-fluctuation corrections and corrections for class II 9549 1451 352 fluctuations [Ly74], which are needed at lower energies, whereas 9549 1451 353 GNASH provides the preequilibrium corrections that are required 9549 1451 354 at higher energies. Accordingly, a combination of GNASH and 9549 1451 355 COMNUC were used in the calculations below about 2 MeV, and the 9549 1451 356 GNASH code alone was employed at higher energies using two 9549 1451 357 uncoupled oscillators in the fission calculations. 9549 1451 358 Each compound nucleus formed in the calculations is 9549 1451 359 permitted to decay through the fission channel, by neutron 9549 1451 360 emission, and by gamma-ray emission. Neutron transmission 9549 1451 361 coefficients for the Hauser-Feshbach calculations are obtained 9549 1451 362 from the coupled-channel optical model. Gamma ray transmission 9549 1451 363 coefficients are obtained from gamma-ray strength functions 9549 1451 364 calculated with the generalized Lorentzian model of Kopecky and 9549 1451 365 Uhl [Ko90]. Transmission coefficients for fission are 9549 1451 366 calculated from the fission model summarized here and detailed 9549 1451 367 in [Yo92b]. 9549 1451 368 Gilbert and Cameron [Gi70] phenomenological level density 9549 1451 369 functions were used to represent continuum levels at ground- 9549 1451 370 state deformations, appropriately matched to available 9549 1451 371 experimental structure data at lower excitation energies. 9549 1451 372 Multiplicative factors were applied to the level density 9549 1451 373 functions to account for enhancements in the fission transition 9549 1451 374 state densities at the fission barriers due to increased 9549 1451 375 asymmetry conditions, and the continuum level densities were 9549 1451 376 matched to the discrete fission transition states at each 9549 1451 377 barrier. The discrete fission transition state spectra were 9549 1451 378 calculated from bandhead information taken from calculations and 9549 1451 379 compilations by Britt [Br82] and by Nagel [Na91]. 9549 1451 380 9549 1451 381 DESCRIPTION OF EVALUATED DATA BASE 9549 1451 382 A. Total Cross Section 9549 1451 383 The evaluated total cross section below 42 keV is obtained 9549 1451 384 from the earlier resonance parameter evaluation in ENDF/B-VI.1, 9549 1451 385 suitably matched to the results of the current analysis at 30 9549 1451 386 keV. From 42 keV to 30 MeV, the coupled-channel deformed 9549 1451 387 optical model calculations described above were utilized. 9549 1451 388 9549 1451 389 B. Elastic Cross Section 9549 1451 390 The elastic cross section at all energies is obtained from 9549 1451 391 the difference of the total and nonelastic cross sections. 9549 1451 392 Below 42 keV it comes from the ENDF/B-VI.1 resonance parameters 9549 1451 393 and at higher energies it is mainly determined by the coupled- 9549 1451 394 channel optical model calculations. Angular distributions for 9549 1451 395 elastic neutrons were obtained at all energies from the coupled- 9549 1451 396 channel calculations and are given as Legendre expansions. 9549 1451 397 9549 1451 398 C. Fission Cross Section 9549 1451 399 Below an incident neutron energy of about 650 keV, the 9549 1451 400 fission cross section was taken from the previous ENDF/B-VI.1 9549 1451 401 evaluation, because they agree well with experimental data. At 9549 1451 402 higher energies the fission cross section was obtained by 9549 1451 403 adjusting the results of the theoretical analysis to optimize 9549 1451 404 agreement with experimental data. At all energies the 9549 1451 405 adjustment required was less than about 3 percent. Above 5 MeV, 9549 1451 406 the theoretical values were used directly. Neutrons from 9549 1451 407 fission are assumed to isotropic in the laboratory system. 9549 1451 408 9549 1451 409 D. Radiative Capture Cross Section 9549 1451 410 The radiative capture cross section is calculated using the 9549 1451 411 generalized Lorentzian model of [Ko90]. The normalization of the 9549 1451 412 strength function was set by requiring the calculated (n,g) 9549 1451 413 cross section be consistent with measured values for 243Am. 9549 1451 414 9549 1451 415 E. Inelastic Neutron Cross Sections 9549 1451 416 Discrete (n,n') cross sections are included for the lowest 9549 1451 417 13 excited states of 243Am. The first, fourth, seventh, and 9549 1451 418 ninth excited states are members of the K = 5/2 ground-state 9549 1451 419 rotational band and include coupled-channel as well as compound 9549 1451 420 nucleus contributions. The remaining discrete-state cross 9549 1451 421 sections through the 13th excited state are combinations of 9549 1451 422 compound nucleus and preequilibrium contributions and were 9549 1451 423 calculated with the GNASH code. Angular distributions for all 9549 1451 424 the discrete inelastic neutrons are appropriate combinations of 9549 1451 425 the compound nucleus, direct reaction, and preequilibrium 9549 1451 426 contributions and are represented by Legendre expansions. 9549 1451 427 The inelastic data corresponding to excitation energies in 9549 1451 428 243Am above 0.383 MeV are given as energy-angle correlated 9549 1451 429 continuous spectra and were calculated with the GNASH code. The 9549 1451 430 results are given in File 6 of the ENDF/B-formatted evaluation 9549 1451 431 (ENDF-6 format) and utilize systematics by Kalbach [Ka88] for 9549 1451 432 angular distribution information, parameterized in terms of 9549 1451 433 preequilibrium ratios calculated in GNASH. 9549 1451 434 9549 1451 435 F. Cross Sections for 243Am(n,xn) Reactions 9549 1451 436 The 243Am(n,2n), (n,3n), and (n,4n) cross sections result 9549 1451 437 entirely from the theoretical analysis and GNASH calculations. 9549 1451 438 Energy-angle correlated distributions are given for all the 9549 1451 439 243Am(n,xn) reactions, making use of Kalbach's systematics [Ka88]9549 1451 440 and the ENDF-6 File 6 representation. 9549 1451 441 9549 1451 442 G. Nubar 9549 1451 443 The evaluation of delayed nubar was carried over directly 9549 1451 444 from the ENDF/B-VI.1 evaluation of 243Am. The prompt nubar 9549 1451 445 evaluation was obtained from calculations [Ma94] using Madland- 9549 1451 446 Nix theory. 9549 1451 447 9549 1451 448 H. Fission Neutron Spectra 9549 1451 449 The fission neutron spectra for n + 241Am in the ENDF/B-VI.3 9549 1451 450 evaluation, which were determined from Madland-Nix calculations 9549 1451 451 [Ma94], are adopted here for 243Am. It is planned to repeat 9549 1451 452 these calculations in the future specifically for n + 243Am. 9549 1451 453 9549 1451 454 I. Gamma-Ray Production 9549 1451 455 Gamma-ray production data from Howerton used in ENDF/B.VI.0 9549 1451 456 was utilized for MT=3. Isotropy in the center-of-mass system 9549 1451 457 is assumed for all angular distributions. Gamma-rays from 9549 1451 458 radiative capture (MT=102) are given conventionally in files 9549 1451 459 MF=12,14,15. Semi-direct capture is included with the compound- 9549 1451 460 nucleus contributions in both the gamma-ray production cross 9549 1451 461 sections and in the gamma-ray emission spectra, which leads to 9549 1451 462 an enhancement in the data for each at incident neutron and 9549 1451 463 emission gamma-ray energies above about 10 MeV. 9549 1451 464 The gamma-ray production data from fission (MT=18) are taken 9549 1451 465 directly from the previous ENDF/B-VI.1 evaluation and are given 9549 1451 466 in files MF=12,14,15. See ENDF/B-VI MOD 1 below. 9549 1451 467 9549 1451 468 ---------------------------------------------------------------- 9549 1451 469 REFERENCES 9549 1451 470 9549 1451 471 [Ar82] E.D. Arthur, Fast Neutron Scattering on Actinide Nuclei, 9549 1451 472 Proc. of OECD/NEA Specialists' Meeting, Paris, 1981, report 9549 1451 473 NEANDC-158 "U" (1982) p. 145 9549 1451 474 [Ba74] B.B. Back, O. Hansen, H.C. Britt, and J.D. Garrett, 9549 1451 475 Phys.Rev.C 9, 1924 (1974) 9549 1451 476 [Br82] H.C. Britt, private communication, 1982 9549 1451 477 [Du70] C.L. Dunford, Atomics Int. report AI-AEC-12931 (1970) 9549 1451 478 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)9549 1451 479 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); C. Kalbach and 9549 1451 480 F.M. Mann, Phys.Rev.C 23, 112 (1981) 9549 1451 481 [Ko90] J. Kopecky and M.Uhl, Phys.Rev. C 41, 1941 (1990) 9549 1451 482 [Ma93] D.G. Madland, Los Alamos National Lab., private 9549 1451 483 communication, Feb., 1994 9549 1451 484 [Ra70] J. Raynal, Computing as a Language of Physics, Proc. 9549 1451 485 Conf., 1970, report IAEA SMR-9/8 (IAEA, 1972) p.281 9549 1451 486 [Yo88] P.G. Young and E.D. Arthur, Nuclear Data for Science and 9549 1451 487 Technology, Int. Conf., Mito, Japan, May/June 1988, (Saikon 9549 1451 488 Publishing, 1988) p. 603 9549 1451 489 [Yo92a] P.G. Young and E.D. Arthur, Nuclear Data for Science and 9549 1451 490 Technology, Proc. Conf., May 1991, Juelich, Germany, 9549 1451 491 (Springer-Verlag, 1992) p. 894 [preprint LA-UR-91-1424] 9549 1451 492 [Yo92b] P.G. Young, E.D. Arthur, and M.B. Chadwick, 9549 1451 493 Los Alamos National Laboratory report LA-12343-MS (1992) 9549 1451 494 [Yo96] P.G. Young, Los Alamos National Lab., internal progress 9549 1451 495 report, Sept. 1996 9549 1451 496 9549 1451 497 **************************************************************** 9549 1451 498 9549 1451 499 ENDF/B-VI MOD 1 Evaluation, October 1988, L.W. Weston (ORNL) 9549 1451 500 9549 1451 501 MF=1 GENERAL INFORMATION 9549 1451 502 MT=455 Delayed neutron yields taken from Brady and England [1].9549 1451 503 MT=458 Energy from fission based on Sher [2]. 9549 1451 504 9549 1451 505 MF=2 RESONANCE PARAMETERS (0 to 42 keV) 9549 1451 506 MT=151 RESONANCE PARAMETERS 9549 1451 507 RESOLVED RESONANCE REGION (0 to 250 eV) 9549 1451 508 219 resolved resonances plus one bound level are included 9549 1451 509 based upon the total cross section measurements of Simpson 9549 1451 510 et al. [3]. Thermal capture based on Mughabghab evaluation9549 1451 511 [4]. Thermal fission based on Wagemans measurement [5]. 9549 1451 512 Thermal values are: 9549 1451 513 Total: 84 barns 9549 1451 514 Capture: 75 barns 9549 1451 515 Fission: 74 millibarns 9549 1451 516 Fission widths based on Knitter measurements [6]. 9549 1451 517 UNRESOLVED RESONANCE REGION (250 eV to 42 keV) 9549 1451 518 Parameters based on the evaluation of Froehner et al. [7] 9549 1451 519 and Weston and Todd [8]. 9549 1451 520 9549 1451 521 MF=8 RADIOACTIVE DECAY DATA 9549 1451 522 MT=102 Used decay data of ENDF/B-V, MAT=7544 and 7554. 9549 1451 523 MT=454 Used 241Am yield curve [9],[10]. 9549 1451 524 9549 1451 525 MF=9 MULTIPLICITIES FOR RADIOACTIVE NUCLIDE PRODUCTION 9549 1451 526 MT = 102 Based on statistical model calculations [11]. 9549 1451 527 9549 1451 528 MF=12,15 PHOTON PRODUCTION 9549 1451 529 MT=18 Photon production from fission 9549 1451 530 Files taken from the LLNL evaluations of R. Howerton [12]. 9549 1451 531 Files extended to the energy range 1.-5 eV to 20 MeV and 9549 1451 532 merged to this evaluation at BNL by R. Kinsey. 9549 1451 533 9549 1451 534 ---------------------------------------------------------------- 9549 1451 535 REFERENCES 9549 1451 536 1. F. Brady and T. England, Nucl.Sci.Eng. 103, 129 (1989) 9549 1451 537 2. R. Sher and C. Beck, report EPRI NP-1771 (1981) and Rev.1/83 9549 1451 538 and private communication to B. Magurno Feb. 1983. 9549 1451 539 3. O. Simpson, F. Simpson, J. Harvey, et al. Nucl.Sci.Eng. 55, 9549 1451 540 273 (1974) 9549 1451 541 4. S.F. Mughabghab, Neutron Cross Sections, Vol.1, Part B, 9549 1451 542 (Academic Press, 1984) 9549 1451 543 5. C. Wagemans, P. Schillebeeckx and J.P. Bocquet, Nucl.Sci.Eng.9549 1451 544 (to be published) 9549 1451 545 6. H.H. Knitter and C. Budtz-Jorgensen, Nucl.Sci.Eng. 99, 1 9549 1451 546 (1988) 9549 1451 547 7. F.H. Froehner et al., Nuclear Data for Science and 9549 1451 548 Technology, 1982, Antwerp (D.Reidel Publishing, 1983) p.211 9549 1451 549 8. L.W. Weston and J.H. Todd, Nucl.Sci.Eng. 91, 444 (1985) 9549 1451 550 9. J.G. Cuninghame, J.Inorg.Nucl.Chem. 4, 1 (1957) 9549 1451 551 10. R.R. Richard et. al., Trans.Am.Nucl.Soc. 6, 2 (1963) 9549 1451 552 *** bad reference 9549 1451 553 11. F.M. Mann and R.E. Schenter, Trans.Am.Nuc.Soc. 23, 546 (1976)9549 1451 554 and report HEDL TME-77-54 (1977) 9549 1451 555 12. R. Howerton, Lawrence Livermore National Laboratory report 9549 1451 556 UCRL 50400, Vol. 15, Part D (1978) 9549 1451 557 9549 1451 558 ************************ C O N T E N T S *********************** 9549 1451 559 ***************** Program LINEAR (VERSION 2012-1) ***************9549 1451 560 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 561 Data Linearized to Within an Accuracy of .010000000 per-cent 9549 1451 562 ***************** Program RECENT (VERSION 2012-1) ***************9549 1451 563 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 564 Data Linearized Using Energy Dependent Uncertainty 9549 1451 565 Energy Accuracy 9549 1451 566 (eV) (per-cent) 9549 1451 567 ----------- ----------- 9549 1451 568 1.00000000 .010000000 9549 1451 569 2.00000000 .100000000 9549 1451 570 ***************** Program SIGMA1 (VERSION 2012-1) ***************9549 1451 571 Data Doppler Broadened to 293.600000 Kelvin 9549 1451 572 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 573 Data Linearized Using Energy Dependent Uncertainty 9549 1451 574 Energy Accuracy 9549 1451 575 (eV) (per-cent) 9549 1451 576 ----------- ----------- 9549 1451 577 1.00000000 .010000000 9549 1451 578 2.00000000 .100000000 9549 1451 579 ***************** Program FIXUP (Version 2012-1) ****************9549 1451 580 Corrected ZA/AWR in All Sections-----------------------------Yes 9549 1451 581 Corrected Thresholds-----------------------------------------No 9549 1451 582 Extended Cross Sections to 20 MeV----------------------------No 9549 1451 583 Allow Cross Section Deletion---------------------------------No 9549 1451 584 Allow Cross Section Reconstruction---------------------------Yes 9549 1451 585 Make All Cross Sections Non-Negative-------------------------Yes 9549 1451 586 Delete Energies Not in Ascending Order-----------------------Yes 9549 1451 587 Deleted Duplicate Points-------------------------------------Yes 9549 1451 588 Check for Ascending MAT/MF/MT Order--------------------------Yes 9549 1451 589 Check for Legal MF/MT Numbers--------------------------------Yes 9549 1451 590 Allow Creation of Missing Sections---------------------------Yes 9549 1451 591 Allow Insertion of Energy Points-----------------------------No 9549 1451 592 Uniform Energy Grid for ALL MT-------------------------------No 9549 1451 593 Delete Section if Cross Section =0 at All Energies-----------Yes 9549 1451 594 **************** Program DICTIN (VERSION 2012-1) ****************9549 1451 595 1 451 664 09549 1451 596 1 452 5 09549 1451 597 1 455 7 09549 1451 598 1 456 5 09549 1451 599 1 458 5 09549 1451 600 2 151 518 09549 1451 601 3 1 11426 09549 1451 602 3 2 2550 09549 1451 603 3 3 8945 09549 1451 604 3 4 31 09549 1451 605 3 16 18 09549 1451 606 3 17 14 09549 1451 607 3 18 2024 09549 1451 608 3 37 10 09549 1451 609 3 51 23 09549 1451 610 3 52 27 09549 1451 611 3 53 25 09549 1451 612 3 54 26 09549 1451 613 3 55 26 09549 1451 614 3 56 25 09549 1451 615 3 57 25 09549 1451 616 3 58 25 09549 1451 617 3 59 25 09549 1451 618 3 60 25 09549 1451 619 3 61 24 09549 1451 620 3 62 24 09549 1451 621 3 63 22 09549 1451 622 3 91 22 09549 1451 623 3 102 7349 09549 1451 624 4 2 133 09549 1451 625 4 18 2 09549 1451 626 5 18 25 09549 1451 627 5 455 579 09549 1451 628 6 16 978 09549 1451 629 6 17 558 09549 1451 630 6 37 207 09549 1451 631 6 51 132 09549 1451 632 6 52 83 09549 1451 633 6 53 130 09549 1451 634 6 54 81 09549 1451 635 6 55 81 09549 1451 636 6 56 128 09549 1451 637 6 57 81 09549 1451 638 6 58 128 09549 1451 639 6 59 82 09549 1451 640 6 60 81 09549 1451 641 6 61 79 09549 1451 642 6 62 79 09549 1451 643 6 63 79 09549 1451 644 6 91 1738 09549 1451 645 8 16 3 09549 1451 646 8 102 7 09549 1451 647 9 102 13 09549 1451 648 10 16 34 09549 1451 649 12 18 5 09549 1451 650 12 102 17 09549 1451 651 13 3 9 09549 1451 652 14 3 1 09549 1451 653 14 18 1 09549 1451 654 14 102 1 09549 1451 655 15 3 439 09549 1451 656 15 18 114 09549 1451 657 15 102 1023 09549 1451 658 31 456 103 09549 1451 659 33 2 103 09549 1451 660 33 4 19 09549 1451 661 33 16 5 09549 1451 662 33 18 103 09549 1451 663 33 102 103 09549 1451 664 9549 1 0 665 95243.0000 240.973400 0 2 0 09549 1452 666 0.0 0.0 0 0 1 69549 1452 667 6 2 9549 1452 668 1.00000E-5 3.27283300 .025300000 3.27283300 6200000.00 4.112790009549 1452 669 13600000.0 5.08211600 22600000.0 6.21873900 30000000.0 7.122816009549 1452 670 9549 1 0 671 95243.0000 240.973400 0 2 0 09549 1455 672 0.0 0.0 0 0 6 09549 1455 673 1.349900-2 2.975900-2 1.137700-1 2.985900-1 8.820200-1 2.811100+09549 1455 674 0.0 0.0 0 0 1 59549 1455 675 5 2 9549 1455 676 1.00000E-5 .007951066 .025300000 .007951066 4000000.00 .0079510669549 1455 677 7000000.00 .004770640 30000000.0 .004770640 9549 1455 678 9549 1 0 679 95243.0000 240.973400 0 2 0 09549 1456 680 0.0 0.0 0 0 1 69549 1456 681 6 2 9549 1456 682 1.00000E-5 3.26488200 .025300000 3.26488200 6200000.00 4.107171009549 1456 683 13600000.0 5.07734500 22600000.0 6.21396800 30000000.0 7.118045009549 1456 684 9549 1 0 685 95243.0000 240.973400 0 0 0 09549 1458 686 0.000000+0 0.000000+0 0 0 18 99549 1458 687 1.763000+8 2.000000+6 7.530000+6 5.900000+5 4.000000+3 8.000000+29549 1458 688 6.420000+6 1.000000+6 6.620000+6 7.500000+5 6.750000+6 5.000000+59549 1458 689 9.060000+6 1.100000+6 2.036200+8 1.409000+6 2.126800+8 8.800000+59549 1458 690 9549 1 0 691 9549 0 0 692 95243.0000 240.973400 0 0 1 09549 2151 693 95243.0000 1.00000000 0 0 2 09549 2151 694 1.00000E-5 250.000000 1 2 0 09549 2151 695 2.50000000 .940000000 0 0 1 09549 2151 696 240.912500 0.0 0 0 1320 2209549 2151 697 -2.00000000 2.00000000 .047503730 .001307400 .046380000 8.63300E-59549 2151 698 .416000000 2.00000000 .039001010 1.00800E-6 .039000000 0.0 9549 2151 699 .983000000 2.00000000 .036016320 1.63200E-5 .036000000 0.0 9549 2151 700 1.35600000 3.00000000 .039756000 .001133000 .038600000 2.30000E-59549 2151 701 1.74400000 2.00000000 .038356720 3.01200E-4 .038000000 6.60000E-59549 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1.77008257 2204.872349549 3 1 1863 1.77315111 2009.77652 1.77476495 1911.13591 1.77660322 1798.709609549 3 1 1864 1.77689089 1781.11749 1.77890462 1664.39667 1.77938408 1636.608359549 3 1 1865 1.78120602 1536.81297 1.78187726 1500.05019 1.78369921 1406.065949549 3 1 1866 1.78389099 1396.17419 1.78569050 1309.15916 1.78571294 1308.074629549 3 1 1867 1.78619239 1284.90504 1.78772666 1216.16348 1.78849380 1181.796609549 3 1 1868 1.78974039 1129.61467 1.79002807 1117.57398 1.79037287 1103.942959549 3 1 1869 1.79156234 1056.96203 1.79175412 1049.82342 1.79309660 999.8582209549 3 1 1870 1.79309661 999.857848 1.79463087 946.154938 1.79491855 936.7283439549 3 1 1871 1.79505525 932.249604 1.79630898 891.225338 1.79674049 878.1103759549 3 1 1872 1.79813092 835.856561 1.79856244 823.734142 1.79980369 788.8693689549 3 1 1873 1.79995287 784.685446 1.80038438 773.514633 1.80177481 737.5246879549 3 1 1874 1.80220633 727.225386 1.80359676 694.044088 1.80402827 684.5552669549 3 1 1875 1.80455213 673.037359 1.80541870 654.018785 1.80585022 645.2965349549 3 1 1876 1.80724065 617.196077 1.80767216 609.164910 1.80906259 583.2900829549 3 1 1877 1.80925438 580.023404 1.80930057 579.236771 1.81083659 553.1320869549 3 1 1878 1.81117221 547.429007 1.81294621 519.818869 1.81297019 519.4457099549 3 1 1879 1.81404900 503.948640 1.81476815 493.640039 1.81505583 489.8305329549 3 1 1880 1.81656613 469.834193 1.81716545 462.496064 1.81836410 447.8220399549 3 1 1881 1.81879743 442.971148 1.81927507 437.636631 1.82076139 421.0392999549 3 1 1882 1.82138469 414.744649 1.82315869 396.831979 1.82349431 393.7592539549 3 1 1883 1.82359053 392.878463 1.82555598 374.936076 1.82574776 373.3447669549 3 1 1884 1.82795328 355.047324 1.82814506 353.586448 1.82995836 339.7759959549 3 1 1885 1.83001111 339.406275 1.83054235 335.695038 1.83237768 322.8754879549 3 1 1886 1.83293965 319.282988 1.83479700 307.411361 1.83533694 304.2438949549 3 1 1887 1.83643168 297.822745 1.83721631 293.234655 1.83773424 290.4102839549 3 1 1888 1.83882919 284.440163 1.84013153 277.888759 1.84205494 268.2144129549 3 1 1889 1.84252883 266.066441 1.84285225 264.600714 1.84528070 253.6298459549 3 1 1890 1.84535320 253.333495 1.84850645 240.446465 1.84860466 240.0818039549 3 1 1891 1.84931811 237.433166 1.85173221 228.504789 1.85185612 228.0869749549 3 1 1892 1.85495796 217.629574 1.85510758 217.168298 1.85822923 207.5458469549 3 1 1893 1.85835904 207.178896 1.85908485 205.127473 1.86150049 198.3311049549 3 1 1894 1.86161050 198.046447 1.86477176 189.867725 1.86486196 189.6524469549 3 1 1895 1.86804302 182.061318 1.86811342 181.908753 1.86885158 180.3092949549 3 1 1896 1.87138781 174.838701 1.87294992 171.469692 1.87468515 168.1214469549 3 1 1897 1.87785681 162.002290 1.87798248 161.784228 1.87871017 160.5217439549 3 1 1898 1.88278678 153.484951 1.88292847 153.264143 1.88776291 145.7315909549 3 1 1899 1.88787447 145.573995 1.89191620 139.865422 1.89273904 138.7095289549 3 1 1900 1.89282046 138.605429 1.89771516 132.348373 1.89778972 132.2612719549 3 1 1901 1.90269129 126.536126 1.90280550 126.413755 1.90521539 123.8320479549 3 1 1902 1.90766741 121.222446 1.90782128 121.073866 1.91283705 116.2312669549 3 1 1903 1.91439585 114.726482 1.91785283 111.726910 1.92112429 108.8886809549 3 1 1904 1.92286861 107.520879 1.92530391 105.611531 1.92785273 103.6291099549 3 1 1905 1.92965066 102.359752 1.93458116 98.8793403 1.93643272 97.68817409549 3 1 1906 1.94140453 94.4901516 1.94321477 93.4250449 1.94567583 91.97722349549 3 1 1907 1.94822789 90.4876332 1.94999682 89.5400755 1.95505126 86.83296309549 3 1 1908 1.95687456 85.9334576 1.96187462 83.4670678 1.96375230 82.62750579549 3 1 1909 1.96623937 81.5156157 1.97063003 79.5703214 1.97225407 78.85087079549 3 1 1910 1.97750777 76.7731355 1.98263351 74.7462451 1.98448254 74.08916399549 3 1 1911 1.99306177 71.0408430 1.99397947 70.7461822 1.99494470 70.43956379549 3 1 1912 2.00358765 67.6944714 2.00540684 67.1702571 2.01411353 64.66174939549 3 1 1913 2.01601660 64.1620839 2.02211093 62.5622092 2.02473841 61.88045209549 3 1 1914 2.02662635 61.4327789 2.03541279 59.3496113 2.03728600 58.94207959549 3 1 1915 2.04608717 57.0275724 2.04804544 56.6404297 2.05880488 54.51360329549 3 1 1916 2.06052048 54.1745177 2.06500337 53.3760906 2.06966552 52.55866139549 3 1 1917 2.07495378 51.6315588 2.08057676 50.7400312 2.08959071 49.31102049549 3 1 1918 2.09148799 49.0377840 2.10422764 47.2033143 2.10624156 46.93880529549 3 1 1919 2.10890910 46.5884968 2.11907107 45.2738872 2.12099513 45.04618789549 3 1 1920 2.13391451 43.5174663 2.13595684 43.2953491 2.14896735 41.88054249549 3 1 1921 2.15091855 41.6847558 2.15364267 41.4114450 2.16402020 40.38858529549 3 1 1922 2.16609134 40.1999706 2.17928541 38.9985496 2.18126414 38.83477309549 3 1 1923 2.19665099 37.5613656 2.20229092 37.0946528 2.21203785 36.37201269549 3 1 1924 2.21483938 36.1643261 2.22551179 35.3891305 2.22764178 35.25014039549 3 1 1925 2.24324572 34.2320210 2.24906026 33.8526772 2.26698184 32.79769049549 3 1 1926 2.27283022 32.4534578 2.27777501 32.1897559 2.29094121 31.50137259549 3 1 1927 2.29682322 31.1938741 2.31512540 30.3255106 2.32104084 30.04487999549 3 1 1928 2.33953599 29.2462332 2.34249900 29.1183007 2.34560012 28.98716579549 3 1 1929 2.36429097 28.2674021 2.37039039 28.0325466 2.38927879 27.36878279549 3 1 1930 2.39541329 27.1532317 2.41450108 26.5400577 2.42067043 26.34189569549 3 1 1931 2.42605591 26.1835827 2.43995948 25.7870313 2.44628391 25.60666889549 3 1 1932 2.46577706 25.0990946 2.47213829 24.9334758 2.49183746 24.46542329549 3 1 1933 2.49823528 24.3134287 2.51814240 23.8827740 2.52457658 23.74359919549 3 1 1934 2.54469360 23.3543082 2.54791643 23.2919502 2.56019381 23.06284979549 3 1 1935 2.57161938 22.8764025 2.59631353 22.4734929 2.59879842 22.43856289549 3 1 1936 2.61700219 22.1827099 2.63294284 21.9587043 2.64979358 21.75508279549 3 1 1937 2.66080241 21.6220875 2.67783144 21.4447986 2.68892400 21.32934839549 3 1 1938 2.70613302 21.1794818 2.71730948 21.0821891 2.73470016 20.96151669549 3 1 1939 2.74596068 20.8834177 2.75206986 20.8536465 2.75392320 20.84481769549 3 1 1940 2.77328185 20.7526557 2.77915361 20.7247223 2.79277611 20.69192759549 3 1 1941 2.80856025 20.6539943 2.81240787 20.6542755 2.83217715 20.65581889549 3 1 1942 2.83824348 20.6563240 2.84707383 20.6781644 2.85812449 20.70555559549 3 1 1943 2.86210998 20.7247431 2.87714612 20.7972285 2.87828598 20.80273239549 3 1 1944 2.89232368 20.9099798 2.89844748 20.9568241 2.90757196 21.05763509549 3 1 1945 2.91773747 21.1700471 2.91889342 21.1828408 2.92797469 21.31650879549 3 1 1946 2.93108305 21.3622967 2.93422787 21.4065163 2.93828363 21.47946589549 3 1 1947 2.94859256 21.6650331 2.94970655 21.6851021 2.95632427 21.83740129549 3 1 1948 2.96405596 22.0154545 2.96525735 22.0431433 2.97189675 22.23129329549 3 1 1949 2.97562455 22.3370161 2.97973753 22.4758450 2.98606487 22.68959049549 3 1 1950 2.98757831 22.7511502 2.99280549 22.9639127 2.99340321 22.98825779549 3 1 1951 2.99657833 23.1147040 2.99803268 23.1839089 3.00325986 23.43280769549 3 1 1952 3.00446343 23.4901616 3.00829899 23.7059756 3.01234852 23.93400269549 3 1 1953 3.01315007 23.9881631 3.01800115 24.3161971 3.02023361 24.46727799549 3 1 1954 3.02163946 24.5796899 3.02527777 24.8708105 3.02552742 24.89080279549 3 1 1955 3.02891608 25.2057198 3.03085832 25.3863691 3.03255439 25.57213479549 3 1 1956 3.03563474 25.9098067 3.03618921 25.9698018 3.03619270 25.97024369549 3 1 1957 3.03983101 26.4312024 3.04018739 26.4763947 3.04225655 26.77974079549 3 1 1958 3.04418555 27.0627427 3.04468209 27.1477412 3.04697994 27.54136099549 3 1 1959 3.04818373 27.7477256 3.04927778 27.9684470 3.05157562 28.43236889549 3 1 1960 3.05218190 28.5548751 3.05387346 28.9601316 3.05617131 29.51107619549 3 1 1961 3.05618007 29.5131783 3.05846915 30.1485770 3.05884551 30.25313719549 3 1 1962 3.06076699 30.8545659 3.06151096 31.0876319 3.06306483 31.63667329549 3 1 1963 3.06417640 32.0297690 3.06536268 32.5085630 3.06733931 33.30701369549 3 1 1964 3.06766052 33.4551976 3.06768025 33.4643057 3.06919241 34.16141679549 3 1 1965 3.07008459 34.5729964 3.07130302 35.2080744 3.07282986 36.00450559549 3 1 1966 3.07341363 36.3476817 3.07552424 37.5893255 3.07557514 37.61929249549 3 1 1967 3.07763485 38.9810848 3.07832042 39.4346859 3.07974546 40.48892179549 3 1 1968 3.08106570 41.4662996 3.08185607 42.1171136 3.08381097 43.72787539549 3 1 1969 3.08396668 43.8697158 3.08607729 45.7934865 3.08655625 46.23033119549 3 1 1970 3.08842620 48.1027866 3.08924392 48.9221168 3.08930153 48.97993949549 3 1 1971 3.09077511 50.5910292 3.09204680 51.9821814 3.09312401 53.25497979549 3 1 1972 3.09479207 55.2269142 3.09547292 56.0883627 3.09754949 58.71711659549 3 1 1973 3.09860479 60.1444793 3.10002575 62.0674573 3.10122604 63.69599969549 3 1 1974 3.10248559 65.5144547 3.10582172 70.3331590 3.10765999 73.08152929549 3 1 1975 3.11374913 82.1865715 3.11440034 83.1635107 3.11467267 83.55212829549 3 1 1976 3.11821305 88.6023505 3.11930240 90.1553847 3.12148109 92.96681669549 3 1 1977 3.12311512 95.0736023 3.12474914 96.9371173 3.12597466 98.33327919549 3 1 1978 3.12720017 99.5418915 3.12747250 99.8101381 3.12869802 101.0205839549 3 1 1979 3.12965120 101.801438 3.13135331 103.193343 3.13251074 103.9278899549 3 1 1980 3.13400859 104.875920 3.13537028 105.453062 3.13701791 106.1489269549 3 1 1981 3.13727663 106.198355 3.14000000 106.714573 3.14002723 106.7196899549 3 1 1982 3.14094382 106.751861 3.14245104 106.591199 3.14369357 106.4567939549 3 1 1983 3.14490207 106.088897 3.14613780 105.710830 3.14735310 105.1250759549 3 1 1984 3.14858202 104.530987 3.14980413 103.718542 3.15089348 102.9929099549 3 1 1985 3.15157432 102.536742 3.15225516 101.949442 3.15470619 99.83223619549 3 1 1986 3.15511470 99.4788781 3.15797424 96.5412582 3.15817849 96.33120979549 3 1 1987 3.16124228 92.7846303 3.16200684 91.8989063 3.16205929 91.83788989549 3 1 1988 3.16614435 86.6643664 3.16723369 85.2843091 3.17312020 77.67790899549 3 1 1989 3.17431445 76.1295042 3.17479105 75.5117882 3.17839951 71.08054089549 3 1 1990 3.17856972 70.8716189 3.18112288 67.9610365 3.18234839 66.56464649549 3 1 1991 3.18364200 65.2311712 3.18423356 64.6217196 3.18595686 62.84126719549 3 1 1992 3.18612707 62.6655117 3.18827173 60.7083876 3.18980361 59.31138999549 3 1 1993 3.19058659 58.6777810 3.19222060 57.3565021 3.19290146 56.86191409549 3 1 1994 3.19463759 55.6018268 3.19521632 55.2288044 3.19534692 55.14470459549 3 1 1995 3.19705458 54.0413206 3.19753118 53.7711179 3.19947157 52.67217049549 3 1 1996 3.19984604 52.4886537 3.20182049 51.5220593 3.20188856 51.48877029549 3 1 1997 3.20427152 50.4967003 3.20430555 50.4825510 3.20672254 49.64371119549 3 1 1998 3.20672255 49.6437083 3.20917358 48.9650756 3.20955011 48.86099309549 3 1 1999 3.21162461 48.4317237 3.21237768 48.2762033 3.21407564 48.03363689549 3 1 2000 3.21520525 47.8726850 3.21652668 47.7611725 3.21803281 47.63458069549 3 1 2001 3.21897771 47.6051960 3.22086038 47.5472179 3.22142874 47.56355089549 3 1 2002 3.22387977 47.6346498 3.22510174 47.6703924 3.22633080 47.78466349549 3 1 2003 3.22850950 47.9876735 3.22934308 48.0655079 3.23123287 48.34938319549 3 1 2004 3.23358444 48.7030769 3.23395624 48.7782770 3.23667960 49.32956709549 3 1 2005 3.23782579 49.5617996 3.24042751 50.2154105 3.24058470 50.25458979549 3 1 2006 3.24206714 50.6243606 3.24439983 51.3157168 3.24567154 51.69276359549 3 1 2007 3.24630849 51.8816762 3.24948667 52.9726773 3.25054984 53.33779149549 3 1 2008 3.25330180 54.4102738 3.25454480 54.8948546 3.25711693 56.03658699549 3 1 2009 3.25970715 57.1866762 3.26093206 57.8111188 3.26474719 59.75649379549 3 1 2010 3.26486950 59.8188761 3.26856232 61.9722351 3.26900039 62.22773899549 3 1 2011 3.27003184 62.8265864 3.27237745 64.3564232 3.27390360 65.35200339549 3 1 2012 3.27619258 67.0029046 3.27777536 68.1446552 3.27873600 68.91172769549 3 1 2013 3.28164713 71.2366854 3.28327550 72.6789473 3.28551889 74.66639129549 3 1 2014 3.28614411 75.2821794 3.28781500 76.9231990 3.28939065 78.47099459549 3 1 2015 3.29121963 80.4750648 3.29326240 82.7137833 3.29462425 84.37839839549 3 1 2016 3.29689400 87.1532456 3.29802888 88.7009696 3.30052560 92.10654939549 3 1 2017 3.30143350 93.4934630 3.30352970 96.6962140 3.30415720 97.65349489549 3 1 2018 3.30483813 98.8043108 3.30688090 102.257377 3.30824275 104.7782559549 3 1 2019 3.30960460 107.299634 3.31164738 111.452170 3.31232830 112.8366279549 3 1 2020 3.31505200 118.933370 3.31777570 125.665071 3.31800268 126.2860389549 3 1 2021 3.32049940 133.117751 3.32095335 134.471887 3.32231520 138.5350699549 3 1 2022 3.32390403 143.724552 3.32512969 147.728530 3.32611704 151.3357479549 3 1 2023 3.32794418 158.012071 3.32833004 159.569367 3.33005505 166.5323909549 3 1 2024 3.33054305 168.680414 3.33216592 175.824864 3.33250569 177.4574159549 3 1 2025 3.33275605 178.661485 3.33427679 185.976387 3.33496906 189.6129249549 3 1 2026 3.33638765 197.066020 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2136.204279549 310227558 12.8749031 2146.56928 12.8770000 2147.88400 12.8821471 2140.165389549 310227559 12.8872941 2117.11555 12.8907254 2093.50865 12.8953006 2052.289379549 310227560 12.8998757 2000.67363 12.9044509 1939.62573 12.9090260 1870.259969549 310227561 12.9143637 1780.45382 12.9197013 1683.06258 12.9294235 1493.145889549 310227562 12.9446739 1188.40197 12.9513936 1060.58934 12.9568266 962.9418419549 310227563 12.9622596 871.567551 12.9663344 807.657123 12.9704090 748.0022029549 310227564 12.9738906 700.539183 12.9773722 656.394080 12.9808538 615.6134709549 310227565 12.9843353 578.217816 12.9878169 544.201136 12.9912985 513.5413009549 310227566 12.9947801 486.199390 12.9982616 462.125027 13.0017432 441.2569919549 310227567 13.0052248 423.530326 13.0086640 409.036329 13.0120183 397.7235139549 310227568 13.0153726 389.136075 13.0187270 383.213237 13.0220813 379.8969369549 310227569 13.0248766 379.083901 13.0279142 380.172355 13.0316320 384.2452029549 310227570 13.0353498 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158.379362 41.3188215 158.393780 45.4496964 158.415408 51.95073359549 310231859 158.455890 64.6887726 158.484727 73.7283296 158.509681 81.13283039549 310231860 158.531308 86.9835342 158.547613 90.9190785 158.561920 93.96530239549 310231861 158.578778 96.9973053 158.592974 99.0348432 158.609832 100.7931809549 310231862 158.626026 101.770329 158.640000 102.035723 158.657746 101.5946929549 310231863 158.673717 100.463106 158.691462 98.4202045 158.705659 96.22459969549 310231864 158.723404 92.8380945 158.739043 89.3252655 158.758674 84.32195569549 310231865 158.781965 77.7149917 158.808583 69.5798591 158.859602 53.52939039549 310231866 158.879566 47.4771051 158.899530 41.7183061 158.915889 37.27406159549 310231867 158.930447 33.5558323 158.945003 30.0779143 158.954708 27.89756369549 310231868 158.964412 25.8303371 158.974117 23.8764943 158.983821 22.03621119549 310231869 158.994219 20.1889038 159.004617 18.4682778 159.015015 16.87123619549 310231870 159.025413 15.3939495 159.035811 14.0319783 159.046208 12.78050379549 310231871 159.056606 11.6339688 159.067004 10.5869044 159.073936 9.941274449549 310231872 159.080868 9.33554912 159.087800 8.76798168 159.097331 8.046713169549 310231873 159.105129 7.50464578 159.112928 7.00315520 159.120726 6.539987899549 310231874 159.128525 6.11269948 159.136323 5.71914051 159.144122 5.357024489549 310231875 159.151920 5.02433921 159.159719 4.71897906 159.167517 4.439091259549 310231876 159.175315 4.18279550 159.183113 3.94834548 159.190912 3.734062369549 310231877 159.198710 3.53844194 159.206509 3.35996739 159.214307 3.197309289549 310231878 159.224704 3.00279369 159.235102 2.83125071 159.245500 2.680150909549 310231879 159.255898 2.54719202 159.266642 2.42666836 159.277733 2.318088769549 310231880 159.288824 2.22362797 159.299915 2.14152978 159.311006 2.070252319549 310231881 159.322097 2.00844705 159.338733 1.93097403 159.355370 1.868870269549 310231882 159.372006 1.81946695 159.388643 1.78062288 159.405279 1.750650619549 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139.1986809549 310231908 160.481392 184.461650 160.506827 203.014081 160.528261 217.3062489549 310231909 160.546264 228.002645 160.561696 236.013558 160.574842 241.8786619549 310231910 160.589703 247.341768 160.603420 251.206025 160.618567 254.0872179549 310231911 160.633427 255.450872 160.640000 255.584472 160.654575 254.8502609549 310231912 160.669721 252.596872 160.683439 249.279444 160.698299 244.3771309549 310231913 160.715446 237.140619 160.730307 229.622363 160.747453 219.6835539549 310231914 160.767601 206.555360 160.792893 188.414668 160.831473 158.8157369549 310231915 160.864338 133.452044 160.883628 119.088312 160.902918 105.3848699549 310231916 160.920065 93.8954643 160.932926 85.7622113 160.945786 78.07532989549 310231917 160.958646 70.8526657 160.971505 64.1054058 160.981865 59.01739099549 310231918 160.992224 54.2392163 161.002584 49.7663057 161.012943 45.59371149549 310231919 161.023303 41.7129380 161.033662 38.1154450 161.044022 34.78991709549 310231920 161.054381 31.7253068 161.063759 29.1652152 161.073136 26.79897629549 310231921 161.082513 24.6163318 161.091890 22.6071583 161.101268 20.76110099549 310231922 161.110645 19.0684400 161.120022 17.5189960 161.129399 16.10300579549 310231923 161.138777 14.8108480 161.148153 13.6337525 161.154404 12.90838849549 310231924 161.162442 12.0408510 161.170480 11.2419142 161.178518 10.50667769549 310231925 161.186555 9.83056088 161.194593 9.20897764 161.202630 8.637908669549 310231926 161.210668 8.11327939 161.218705 7.63152761 161.226743 7.189074479549 310231927 161.234780 6.78280000 161.242818 6.40959367 161.250855 6.066752539549 310231928 161.258893 5.75159928 161.266930 5.46181572 161.274968 5.195117999549 310231929 161.283005 4.94953634 161.292829 4.67526765 161.302653 4.426607949549 310231930 161.312477 4.20077250 161.322300 3.99528948 161.332124 3.807892869549 310231931 161.341948 3.63662332 161.356684 3.40615985 161.371419 3.202952359549 310231932 161.386155 3.02270318 161.400890 2.86189058 161.415626 2.717553139549 310231933 161.430361 2.58727699 161.447329 2.45206146 161.468762 2.300239889549 310231934 161.490196 2.16593815 161.511629 2.04611109 161.533063 1.938383419549 310231935 161.554496 1.84091770 161.583074 1.72443217 161.611652 1.620917369549 310231936 161.640230 1.52831340 161.668808 1.44501011 161.695601 1.374210419549 310231937 161.722392 1.30959175 161.758115 1.23180261 161.793837 1.162306789549 310231938 161.829560 1.09995296 161.865282 1.04380183 161.901005 .9930672339549 310231939 161.936727 .947095892 161.983166 .893551014 162.026033 .8495644479549 310231940 162.068900 .810123807 162.111767 .774681668 162.154634 .7427782719549 310231941 162.211790 .705083820 162.268946 .672239851 162.326102 .6436379559549 310231942 162.383258 .618789291 162.442897 .596439268 162.505017 .5766709459549 310231943 162.567138 .560182886 162.629258 .546751794 162.691379 .5362334469549 310231944 162.753499 .528567149 162.815620 .523784255 162.877740 .5220307179549 310231945 162.933580 .523288492 162.983140 .526980909 163.032700 .5336025879549 310231946 163.069870 .541001430 163.107040 .551174078 163.144210 .5651839719549 310231947 163.168990 .577490522 163.193770 .593056514 163.212355 .6075152479549 310231948 163.230940 .625024328 163.249525 .646350348 163.268110 .6724501569549 310231949 163.280500 .693075511 163.292890 .716755912 163.305280 .7439612879549 310231950 163.318909 .778594434 163.332538 .818935853 163.342760 .8534769379549 310231951 163.352982 .892153235 163.363204 .935418833 163.373425 .9837577849549 310231952 163.383647 1.03770338 163.393869 1.09780917 163.404091 1.164665959549 310231953 163.414312 1.23888763 163.424534 1.32113810 163.434756 1.412084089549 310231954 163.444978 1.51241864 163.455199 1.62283743 163.465421 1.744076179549 310231955 163.475643 1.87683823 163.485865 2.02182805 163.496086 2.179714949549 310231956 163.506308 2.35118540 163.516530 2.53683886 163.526752 2.737235679549 310231957 163.536973 2.95284728 163.547195 3.18412849 163.557417 3.431376949549 310231958 163.567639 3.69480190 163.581268 4.07131933 163.591489 4.372558169549 310231959 163.605118 4.79892499 163.618747 5.25250821 163.637209 5.907370919549 310231960 163.656537 6.63692657 163.680698 7.59837278 163.742400 10.13735409549 310231961 163.762224 10.9158712 163.780066 11.5737160 163.802070 12.30738509549 310231962 163.815153 12.6933315 163.833391 13.1577711 163.847665 13.45481449549 310231963 163.865903 13.7416097 163.880969 13.8954086 163.895441 13.96977199549 310231964 163.902181 13.9795481 163.915859 13.9508257 163.930133 13.85229229549 310231965 163.945992 13.6632009 163.960265 13.4249128 163.976124 13.08994559549 310231966 163.994115 12.6295247 164.008785 12.1991330 164.026131 11.63757379549 310231967 164.046698 10.9153060 164.114348 8.38509609 164.135659 7.626399909549 310231968 164.151642 7.09311862 164.167624 6.59937232 164.184351 6.132823759549 310231969 164.195502 5.85408870 164.206653 5.60371229 164.217683 5.386003569549 310231970 164.228592 5.20194883 164.239501 5.05093842 164.250409 4.934971469549 310231971 164.261318 4.85610093 164.269499 4.82261856 164.277680 4.812222379549 310231972 164.285862 4.82595919 164.294043 4.86493734 164.302225 4.930354019549 310231973 164.310406 5.02346373 164.318588 5.14564949 164.326770 5.298357069549 310231974 164.334951 5.48311687 164.343132 5.70160296 164.351314 5.955610729549 310231975 164.359495 6.24694569 164.367677 6.57765126 164.375858 6.949719939549 310231976 164.384039 7.36535956 164.390278 7.71301496 164.397302 8.137598609549 310231977 164.404326 8.59879083 164.411350 9.09814000 164.418373 9.637142469549 310231978 164.425397 10.2175476 164.432421 10.8408893 164.439445 11.50877769549 310231979 164.449980 12.5975263 164.460516 13.7955168 164.471051 15.10764429549 310231980 164.481587 16.5389886 164.492123 18.0938608 164.499146 19.20086359549 310231981 164.508980 20.8480158 164.518813 22.6102581 164.528646 24.48939039549 310231982 164.538479 26.4863213 164.548313 28.6013629 164.563063 31.99272909549 310231983 164.577812 35.6400735 164.592422 39.4933647 164.607031 43.56759509549 310231984 164.628946 50.0400720 164.653107 57.5596767 164.711545 76.21581799549 310231985 164.737392 83.9911992 164.759194 89.9688674 164.777399 94.39946209549 310231986 164.796279 98.3324114 164.812461 101.087168 164.830442 103.4091299549 310231987 164.846625 104.786403 164.864831 105.491933 164.870000 105.5264299549 310231988 164.887981 105.073692 164.904164 103.915265 164.922144 101.8248189549 310231989 164.936529 99.5780898 164.954510 96.1117832 164.970356 92.51511399549 310231990 164.990247 87.3897453 165.013847 80.6162068 165.040818 72.26688659549 310231991 165.092513 55.7594718 165.112741 49.5210548 165.132970 43.57649119549 310231992 165.149546 38.9827288 165.164296 35.1351150 165.179045 31.53180579549 310231993 165.193796 28.1832198 165.203629 26.0958282 165.213462 24.12489159549 310231994 165.225402 21.8874556 165.235938 20.0532325 165.246473 18.34779089549 310231995 165.257009 16.7673545 165.267545 15.3079638 165.278080 13.96505919549 310231996 165.288616 12.7332674 165.299152 11.6072763 165.309687 10.58151039549 310231997 165.316711 9.95036791 165.323735 9.35942297 165.330758 8.807023089549 310231998 165.339889 8.14350298 165.349020 7.53838044 165.358151 6.988030169549 310231999 165.367282 6.48894175 165.376413 6.03774198 165.385544 5.631213779549 310232000 165.394675 5.26631196 165.403805 4.94020990 165.412936 4.650171239549 310232001 165.422067 4.39377156 165.431198 4.16875759 165.440329 3.973088779549 310232002 165.449460 3.80493971 165.458591 3.66270108 165.467722 3.544979459549 310232003 165.476852 3.45060518 165.485390 3.38260505 165.493927 3.333544879549 310232004 165.502464 3.30295038 165.511001 3.29051200 165.519539 3.296074469549 310232005 165.528076 3.31962895 165.536613 3.36131353 165.545150 3.421408859549 310232006 165.555425 3.51875572 165.563132 3.61026344 165.570838 3.718170879549 310232007 165.578544 3.84308571 165.586250 3.98568272 165.593957 4.146732789549 310232008 165.601663 4.32701264 165.609369 4.52742536 165.617075 4.748914039549 310232009 165.624782 4.99250879 165.632488 5.25919128 165.640194 5.550077219549 310232010 165.647900 5.86628542 165.658175 6.32928224 165.668450 6.842088119549 310232011 165.678725 7.40746695 165.689000 8.02814951 165.699275 8.706785509549 310232012 165.709550 9.44589226 165.719183 10.1958154 165.728816 11.00266649549 310232013 165.738449 11.8679410 165.748082 12.7928595 165.757715 13.77832329549 310232014 165.770558 15.1872129 165.780191 16.3153222 165.793035 17.91370779549 310232015 165.805879 19.6173828 165.821548 21.8320163 165.840043 24.62350889549 310232016 165.858538 27.5815647 165.886280 32.2517097 165.940738 41.65227619549 310232017 165.968480 46.1664198 165.989288 49.2511869 166.007012 51.59778729549 310232018 166.026020 53.7635309 166.041638 55.2316296 166.054790 56.22865049549 310232019 166.070408 57.1099032 166.085410 57.6335973 166.102261 57.83532999549 310232020 166.116440 57.6872783 166.131236 57.2284471 166.147676 56.36796199549 310232021 166.160828 55.4291256 166.177268 53.9687282 166.193297 52.27192129549 310232022 166.213025 49.8748639 166.236658 46.6690275 166.301390 37.29436429549 310232023 166.318986 34.9145937 166.334784 32.9403934 166.350582 31.16215719549 310232024 166.366380 29.6164628 166.376912 28.7312013 166.387444 27.97190499549 310232025 166.397975 27.3458886 166.408132 26.8741157 166.418288 26.53667679549 310232026 166.428445 26.3371663 166.438601 26.2783115 166.450854 26.39683179549 310232027 166.463106 26.7234804 166.475359 27.2572150 166.487611 27.99469379549 310232028 166.499864 28.9306146 166.512116 30.0572383 166.524369 31.36501089549 310232029 166.536621 32.8418630 166.549454 34.5549593 166.562286 36.41986879549 310232030 166.579395 39.1067626 166.605058 43.4531569 166.654831 52.22974479549 310232031 166.679717 56.3640861 166.699626 59.3558336 166.715802 61.50331869549 310232032 166.733637 63.5132691 166.748569 64.8671936 166.766818 66.07229249549 310232033 166.781336 66.6541607 166.792949 66.8696331 166.800000 66.89026709549 310232034 166.814932 66.6577502 166.829864 66.0527298 166.846454 64.95528319549 310232035 166.859727 63.7692947 166.876318 61.9276541 166.892183 59.82627199549 310232036 166.910951 56.9652931 166.932727 53.2279462 166.957613 48.55731459549 310232037 167.028125 34.5613147 167.049900 30.4241722 167.069083 26.97332639549 310232038 167.086971 23.9564666 167.098895 22.0656488 167.110820 20.27688039549 310232039 167.122745 18.5937725 167.134670 17.0183453 167.146594 15.55142749549 310232040 167.156445 14.4209856 167.168110 13.1765160 167.179776 12.03201039549 310232041 167.191441 10.9848685 167.203107 10.0315450 167.210884 9.446328399549 310232042 167.218661 8.89995194 167.226438 8.39115954 167.234215 7.918664299549 310232043 167.241992 7.48116300 167.249769 7.07735004 167.257546 6.705930399549 310232044 167.265323 6.36563194 167.273100 6.05521702 167.280391 5.790280039549 310232045 167.290598 5.45996633 167.300806 5.17480714 167.311013 4.932672549549 310232046 167.321221 4.73158202 167.331427 4.56993622 167.339461 4.469514969549 310232047 167.347495 4.39215112 167.355528 4.33746499 167.363561 4.305197169549 310232048 167.371595 4.29524106 167.379628 4.30763875 167.387662 4.342583369549 310232049 167.395695 4.40041050 167.403729 4.48163661 167.411762 4.586904069549 310232050 167.419795 4.71704712 167.427829 4.87307765 167.435863 5.056138889549 310232051 167.443896 5.26752812 167.451929 5.50875914 167.459962 5.781491789549 310232052 167.467996 6.08759186 167.476029 6.42897229 167.484062 6.807817809549 310232053 167.492095 7.22643229 167.500129 7.68732889 167.506464 8.082233589549 310232054 167.513780 8.57471339 167.521095 9.10819467 167.528410 9.684948989549 310232055 167.535725 10.3072526 167.543041 10.9775364 167.550356 11.69800199549 310232056 167.557671 12.4711585 167.564986 13.2994504 167.572302 14.18545559549 310232057 167.579617 15.1313774 167.586932 16.1397543 167.597905 17.77468719549 310232058 167.608878 19.5632381 167.619850 21.5124920 167.630998 23.66458099549 310232059 167.642145 25.9954260 167.653292 28.5102097 167.664439 31.21264509549 310232060 167.675586 34.1049539 167.686733 37.1876630 167.697880 40.45940749549 310232061 167.712790 45.1248451 167.727839 50.1553808 167.742888 55.48607049549 310232062 167.761698 62.5222577 167.787615 72.7511703 167.848367 97.54729769549 310232063 167.874005 107.460898 167.895854 115.200141 167.914580 121.1104449549 310232064 167.933308 126.196855 167.949360 129.799289 167.963628 132.3533469549 310232065 167.981464 134.625033 167.999745 135.837262 168.010000 136.0095269549 310232066 168.027835 135.434568 168.043888 133.979281 168.061723 131.3579029549 310232067 168.075991 128.541364 168.093827 124.193554 168.109544 119.6782899549 310232068 168.129275 113.233978 168.152684 104.698615 168.179437 94.14340959549 310232069 168.234058 71.7913037 168.255795 63.1999550 168.277532 55.04399469549 310232070 168.294253 49.1461119 168.306794 44.9661598 168.319335 41.00955919549 310232071 168.331875 37.2855190 168.344415 33.7990019 168.355563 30.90058379549 310232072 168.366710 28.1910478 168.377857 25.6677877 168.389004 23.32697679549 310232073 168.400151 21.1635032 168.408512 19.6534532 168.416872 18.23692059549 310232074 168.425232 16.9105348 168.433592 15.6709203 168.444043 14.23790959549 310232075 168.454493 12.9279791 168.461460 12.1193573 168.468427 11.35996089549 310232076 168.475394 10.6476083 168.482361 9.98012802 168.489328 9.355367959549 310232077 168.496295 8.77120432 168.503262 8.22554979 168.510229 7.716360399549 310232078 168.517196 7.24164168 168.524163 6.79945405 168.531130 6.387917179549 310232079 168.538097 6.00521365 168.545063 5.64964123 168.553424 5.256247139549 310232080 168.561785 4.89666005 168.570145 4.56828842 168.578505 4.268607259549 310232081 168.586866 3.99525289 168.595226 3.74610404 168.603586 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