50-Sn-116 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2009 1 0 0 0 50116.0000 114.906000 2 0 0 15037 1451 1 0.0 0.0 0 0 0 65037 1451 2 1.00000000 20000000.0 0 0 10 75037 1451 3 120000.000 0.0 1 0 287 465037 1451 4 50-Sn-116 JNDC,BNL EVAL-DEC04 JNDC FPND W.G., Mughabghab 5037 1451 5 DIST-DEC06 5037 1451 6 ----ENDF/B-VII MATERIAL 5037 5037 1451 7 -----INCIDENT NEUTRON DATA 5037 1451 8 ------ENDF-6 FORMAT 5037 1451 9 5037 1451 10 ============================================================== 5037 1451 11 File produced by WPEC Subgroup 23 in 2004-2005 5037 1451 12 - WPEC: NEA Working Party on Evaluation Cooperation 5037 1451 13 - SG23: International library of fission product evaluations 5037 1451 14 5037 1451 15 5037 1451 16 File obtained by merging: &&5037 1451 17 - Resolved Resonances (MLBW) <30.0 keV : Ref.1 &&5037 1451 18 - Unresolved Resonances 30.0 keV - 100 keV : JENDL-3.3 &&5037 1451 19 - Fast neutron region >100 keV : JENDL-3.3 &&5037 1451 20 &&5037 1451 21 Calculated thermal cross sections & resonance integrals: &&5037 1451 22 --------------------------------------------- &&5037 1451 23 Reaction Cross section Res. integral &&5037 1451 24 (barn) (barn) &&5037 1451 25 Total 4.4286E+00 - &&5037 1451 26 Elastic 4.3009E+00 - &&5037 1451 27 Capture 1.2766E-01 1.23E+01 &&5037 1451 28 --------------------------------------------- &&5037 1451 29 5037 1451 30 Corrected threshold energy secondary energy distributions 5037 1451 31 in MF=5. 5037 1451 32 Corrected interpolation in MF=5. 5037 1451 33 Corrected MF=3, MT=2 at 10.4881 and 11.4891 Mev for 5037 1451 34 SUM UP problem 5037 1451 35 5037 1451 36 Reference: 5037 1451 37 1) S.F.Mughabghab: Atlas of Neutron Resonances, to be 5037 1451 38 published by Elsevier, 2006 (5-th edition of BNL-325) 5037 1451 39 ============================================================== 5037 1451 40 5037 1451 41 90-03 NEW EVALUATION FOR JENDL-3 WAS COMPLETED BY JNDC FPND 5037 1451 42 W.G./1/ 5037 1451 43 5037 1451 44 MF = 1 GENERAL INFORMATION 5037 1451 45 MT=451 COMMENTS AND DICTIONARY 5037 1451 46 5037 1451 47 MF = 2 RESONANCE PARAMETERS 5037 1451 48 MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETERS 5037 1451 49 RESOLVED RESONANCE REGION (MLBW FORMULA) : BELOW 2 KEV 5037 1451 50 RESONANCE PARAMETERS AND SCATTERING RADIUS WERE BASED ON 5037 1451 51 MUGHABGHAB ET AL./2/ THE LEVEL AT 779 EV WHOSE NEUTRON WIDTH 5037 1451 52 WAS UNKNOWN WAS ASSUMED TO BE A P-WAVE RESONANCE, AND A 5037 1451 53 REDUCED NEUTRON WIDTH OF 160 MEV WAS TENTATIVELY GIVEN FOR 5037 1451 54 THIS LEVEL. NEUTRON ORBITAL ANGULAR MOMENTUM L OF SOME 5037 1451 55 RESONANCES WAS ESTIMATED WITH A METHOD OF BOLLINGER AND THOMAS5037 1451 56 /3/. AVERAGE RADIATION WIDTH OF 80 MEV WAS ASSUMED FROM THE 5037 1451 57 SYSTEMATICS OF MEASURED VALUES FOR NEIGHBORING NUCLEI. 5037 1451 58 5037 1451 59 UNRESOLVED RESONANCE REGION : 2 KEV - 100 KEV 5037 1451 60 THE NEUTRON STRENGTH FUNCTIONS, S0, S1 AND S2 WERE CALCULATED 5037 1451 61 WITH OPTICAL MODEL CODE CASTHY/4/. THE OBSERVED LEVEL SPACING5037 1451 62 WAS DETERMINED TO REPRODUCE THE CAPTURE CROSS SECTION 5037 1451 63 CALCULATED WITH CASTHY. THE EFFECTIVE SCATTERING RADIUS WAS 5037 1451 64 OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS SECTION AT5037 1451 65 100 KEV. THE RADIATION WIDTH GG WAS BASED ON THE SYSTEMATICS 5037 1451 66 OF MEASURED GG FOR NEIGHBORING NUCLIDES. 5037 1451 67 5037 1451 68 TYPICAL VALUES OF THE PARAMETERS AT 70 KEV: 5037 1451 69 S0 = 0.740E-4, S1 = 2.700E-4, S2 = 0.740E-4, SG = 1.79E-4, 5037 1451 70 GG = 0.080 EV, R = 5.567 FM. 5037 1451 71 5037 1451 72 CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS) 5037 1451 73 2200 M/S RES. INTEG. 5037 1451 74 TOTAL 4.439 - 5037 1451 75 ELASTIC 4.312 - 5037 1451 76 CAPTURE 0.1277 12.4 5037 1451 77 5037 1451 78 MF = 3 NEUTRON CROSS SECTIONS 5037 1451 79 BELOW 100 KEV, RESONANCE PARAMETERS WERE GIVEN. 5037 1451 80 ABOVE 100 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL 5037 1451 81 CALCULATION WAS PERFORMED WITH CASTHY, BY TAKING ACCOUNT OF 5037 1451 82 COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED 5037 1451 83 WITH PEGASUS/5/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP 5037 1451 84 EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 5037 1451 85 DETERMINED TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS 5037 1451 86 SECTION BY CHANGING RSO OF IIJIMA-KAWAI POTENTIAL/6/. THE OMP'S5037 1451 87 FOR CHARGED PARTICLES ARE AS FOLLOWS: 5037 1451 88 PROTON = PEREY/7/ 5037 1451 89 ALPHA = HUIZENGA AND IGO/8/ 5037 1451 90 DEUTERON = LOHR AND HAEBERLI/9/ 5037 1451 91 HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/10/ 5037 1451 92 PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT 5037 1451 93 AND CAMERON/11/ WERE EVALUATED BY IIJIMA ET AL./12/ MORE 5037 1451 94 EXTENSIVE DETERMINATION AND MODIFICATION WERE MADE IN THE 5037 1451 95 PRESENT WORK. TABLE 2 SHOWS THE LEVEL DENSITY PARAMETERS USED 5037 1451 96 IN THE PRESENT CALCULATION. ENERGY DEPENDENCE OF SPIN CUT-OFF 5037 1451 97 PARAMETER IN THE ENERGY RANGE BELOW E-JOINT IS DUE TO GRUPPELAAR5037 1451 98 /13/. 5037 1451 99 5037 1451 100 MT = 1 TOTAL 5037 1451 101 SPHERICAL OPTICAL MODEL CALCULATION WAS ADOPTED. 5037 1451 102 5037 1451 103 MT = 2 ELASTIC SCATTERING 5037 1451 104 CALCULATED AS (TOTAL - SUM OF PARTIAL CROSS SECTIONS). 5037 1451 105 5037 1451 106 MT = 4, 51 - 91 INELASTIC SCATTERING 5037 1451 107 SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WAS 5037 1451 108 ADOPTED. THE LEVEL SCHEME WAS BASED ON EVALUATED NUCLEAR 5037 1451 109 STRUCTURE DATA FILE (1987 VERSION)/14/ AND NUCLEAR DATA 5037 1451 110 SHEETS /15/. 5037 1451 111 5037 1451 112 NO. ENERGY(MEV) SPIN-PARITY 5037 1451 113 GR. 0.0 0 + 5037 1451 114 1 1.2935 2 + 5037 1451 115 2 1.7568 0 + 5037 1451 116 3 2.0273 0 + 5037 1451 117 4 2.1123 2 + 5037 1451 118 5 2.2253 2 + 5037 1451 119 6 2.2661 3 - 5037 1451 120 7 2.3659 5 - 5037 1451 121 8 2.3908 4 + 5037 1451 122 9 2.3922 4 + 5037 1451 123 10 2.5291 4 + 5037 1451 124 LEVELS ABOVE 2.546 MEV WERE ASSUMED TO BE OVERLAPPING. 5037 1451 125 5037 1451 126 MT = 102 CAPTURE 5037 1451 127 SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH 5037 1451 128 CASTHY WAS ADOPTED. DIRECT AND SEMI-DIRECT CAPTURE CROSS 5037 1451 129 SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI 5037 1451 130 AND REFFO/16/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV. 5037 1451 131 5037 1451 132 THE GAMMA-RAY STRENGTH FUNCTION (1.66E-04) WAS ADJUSTED TO 5037 1451 133 REPRODUCE THE CAPTURE CROSS SECTION OF 85 MILLI-BARNS AT 40 5037 1451 134 KEV MEASURED BY MACKLIN AND GIBBONS/17/ 5037 1451 135 5037 1451 136 MT = 16 (N,2N) CROSS SECTION 5037 1451 137 MT = 17 (N,3N) CROSS SECTION 5037 1451 138 MT = 22 (N,N'A) CROSS SECTION 5037 1451 139 MT = 28 (N,N'P) CROSS SECTION 5037 1451 140 MT =103 (N,P) CROSS SECTION 5037 1451 141 MT =104 (N,D) CROSS SECTION 5037 1451 142 MT =105 (N,T) CROSS SECTION 5037 1451 143 MT =107 (N,ALPHA) CROSS SECTION 5037 1451 144 THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE 5037 1451 145 PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS. 5037 1451 146 5037 1451 147 THE KALBACH'S CONSTANT K (= 179.7) WAS ESTIMATED BY THE 5037 1451 148 FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/18/ AND LEVEL 5037 1451 149 DENSITY PARAMETERS. 5037 1451 150 5037 1451 151 FINALLY, THE (N,P) AND (N,ALPHA) CROSS SECTIONS WERE 5037 1451 152 NORMALIZED TO THE FOLLOWING VALUES AT 14.5 MEV: 5037 1451 153 (N,P) 20.40 MB (SYSTEMATICS OF FORREST/19/) 5037 1451 154 (N,ALPHA) 3.95 MB (SYSTEMATICS OF FORREST) 5037 1451 155 5037 1451 156 MT = 251 MU-BAR 5037 1451 157 CALCULATED WITH CASTHY. 5037 1451 158 5037 1451 159 MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 5037 1451 160 LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTIONS ARE 5037 1451 161 GIVEN IN THE CENTER-OF-MASS SYSTEM FOR MT=2 AND DISCRETE INELAS-5037 1451 162 TIC LEVELS, AND IN THE LABORATORY SYSTEM FOR MT=91. THEY WERE 5037 1451 163 CALCULATED WITH CASTHY. FOR OTHER REACTIONS, ISOTROPIC DISTRI- 5037 1451 164 BUTIONS IN THE LABORATORY SYSTEM WERE ASSUMED. 5037 1451 165 5037 1451 166 MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS 5037 1451 167 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE CALCULATED WITH 5037 1451 168 PEGASUS FOR INELASTIC SCATTERING TO OVERLAPPING LEVELS AND FOR 5037 1451 169 OTHER NEUTRON EMITTING REACTIONS. 5037 1451 170 5037 1451 171 TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS 5037 1451 172 5037 1451 173 DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM) 5037 1451 174 ---------------------- ------------ --------------- 5037 1451 175 V = 47.64-0.473E R0 = 6.256 A0 = 0.62 5037 1451 176 WS = 9.744 RS = 6.469 AS = 0.35 5037 1451 177 VSO= 7.0 RSO= 6.241 ASO= 0.62 5037 1451 178 THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE. 5037 1451 179 5037 1451 180 TABLE 2 LEVEL DENSITY PARAMETERS 5037 1451 181 5037 1451 182 NUCLIDE A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING 5037 1451 183 --------------------------------------------------------------- 5037 1451 184 48-CD-112 1.797E+01 6.190E-01 6.327E-01 7.351E+00 2.500E+00 5037 1451 185 48-CD-113 1.973E+01 5.760E-01 4.397E+00 6.018E+00 1.360E+00 5037 1451 186 48-CD-114 1.910E+01 6.010E-01 5.651E-01 7.611E+00 2.680E+00 5037 1451 187 48-CD-115 2.072E+01 5.570E-01 4.805E+00 5.966E+00 1.360E+00 5037 1451 188 5037 1451 189 49-IN-113 1.885E+01 5.070E-01 1.371E+00 4.280E+00 1.140E+00 5037 1451 190 49-IN-114 1.632E+01 5.290E-01 6.292E+00 2.752E+00 0.0 5037 1451 191 49-IN-115 1.600E+01 6.510E-01 2.555E+00 5.941E+00 1.320E+00 5037 1451 192 49-IN-116 1.710E+01 5.650E-01 1.250E+01 3.562E+00 0.0 5037 1451 193 5037 1451 194 50-SN-114 1.515E+01 6.270E-01 2.438E-01 6.175E+00 2.330E+00 5037 1451 195 50-SN-115 1.567E+01 5.540E-01 7.229E-01 4.100E+00 1.190E+00 5037 1451 196 50-SN-116 1.529E+01 6.680E-01 3.763E-01 7.111E+00 2.510E+00 5037 1451 197 50-SN-117 1.583E+01 5.960E-01 1.352E+00 4.804E+00 1.190E+00 5037 1451 198 --------------------------------------------------------------- 5037 1451 199 5037 1451 200 SPIN CUTOFF PARAMETERS WERE CALCULATED AS 0.146*SQRT(A)*A**(2/3).5037 1451 201 IN THE CASTHY CALCULATION, SPIN CUTOFF FACTORS AT 0 MEV WERE 5037 1451 202 ASSUMED TO BE 6.125 FOR SN-116 AND 5.375 FOR SN-117. 5037 1451 203 5037 1451 204 REFERENCES 5037 1451 205 1) KAWAI, M. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE5037 1451 206 AND TECHNOLOGY, MITO, P. 569 (1988). 5037 1451 207 2) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I, 5037 1451 208 PART A", ACADEMIC PRESS (1981). 5037 1451 209 3) BOLLINGER, L.M. AND THOMAS, G.E.: PHYS. REV., 171,1293(1968). 5037 1451 210 4) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975). 5037 1451 211 5) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987). 5037 1451 212 6) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77 5037 1451 213 (1983). 5037 1451 214 7) PEREY, F.G: PHYS. REV. 131, 745 (1963). 5037 1451 215 8) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962). 5037 1451 216 9) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974). 5037 1451 217 10) BECCHETTI, F.D., JR. AND GREENLEES, G.W.: POLARIZATION 5037 1451 218 PHENOMENA IN NUCLEAR REACTIONS ((EDS) H.H. BARSHALL AND 5037 1451 219 W. HAEBERLI), P. 682, THE UNIVERSITY OF WISCONSIN PRESS. 5037 1451 220 (1971). 5037 1451 221 11) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446 5037 1451 222 (1965). 5037 1451 223 12) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984). 5037 1451 224 13) GRUPPELAAR, H.: ECN-13 (1977). 5037 1451 225 14) ENSDF: EVALUATED NUCLEAR STRUCTURE DATA FILE (JUNE 1987). 5037 1451 226 15) NUCLEAR DATA SHEETS, 32, 287 (1981). 5037 1451 227 16) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969). 5037 1451 228 17) MACKLIN, R.L. AND GIBBONS, J.H.: TAKEN FROM EXFOR11981(1964). 5037 1451 229 18) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR 5037 1451 230 REACTIONS", NORTH HOLLAND (1968). 5037 1451 231 19) FORREST, R.A.: AERE-R 12419 (1986). 5037 1451 232 5037 1451 233 ***************** Program LINEAR (VERSION 2009-1) ***************5037 1451 234 For All Data Greater than 1.0000E-10 barns in Absolute Value 5037 1451 235 Data Linearized Using Energy Dependent Uncertainty 5037 1451 236 Energy Accuracy 5037 1451 237 (eV) (per-cent) 5037 1451 238 ----------- ----------- 5037 1451 239 0.0 .010000000 5037 1451 240 1.00000000 .010000000 5037 1451 241 2.00000000 .100000000 5037 1451 242 20000000.0 .100000000 5037 1451 243 ***************** Program RECENT (VERSION 2009-1) ***************5037 1451 244 for All Data Greater than 1.0000E-10 barns in Absolute Value 5037 1451 245 Data Linearized Using Energy Dependent Uncertainty 5037 1451 246 Energy Accuracy 5037 1451 247 (eV) (per-cent) 5037 1451 248 ----------- ----------- 5037 1451 249 0.0 .010000000 5037 1451 250 1.00000000 .010000000 5037 1451 251 2.00000000 .100000000 5037 1451 252 20000000.0 .100000000 5037 1451 253 ***************** Program SIGMA1 (VERSION 2009-1) ***************5037 1451 254 Data Doppler Broadened to 1200.00000 Kelvin 5037 1451 255 for All Data Greater than 1.0000E-10 barns in Absolute Value 5037 1451 256 Data Linearized Using Energy Dependent Uncertainty 5037 1451 257 Energy Accuracy 5037 1451 258 (eV) (per-cent) 5037 1451 259 ----------- ----------- 5037 1451 260 0.0 .010000000 5037 1451 261 1.00000000 .010000000 5037 1451 262 2.00000000 .100000000 5037 1451 263 20000000.0 .100000000 5037 1451 264 ***************** Program SIGMA1 (VERSION 2009-1) ***************5037 1451 265 Data Doppler Broadened to 120000.000 Kelvin 5037 1451 266 for All Data Greater than 1.0000E-10 barns in Absolute Value 5037 1451 267 Data Linearized Using Energy Dependent Uncertainty 5037 1451 268 Energy Accuracy 5037 1451 269 (eV) (per-cent) 5037 1451 270 ----------- ----------- 5037 1451 271 0.0 .010000000 5037 1451 272 1.00000000 .010000000 5037 1451 273 2.00000000 .100000000 5037 1451 274 20000000.0 .100000000 5037 1451 275 ***************** Program FIXUP (Version 2009-1) ****************5037 1451 276 Corrected ZA/AWR in All Sections-----------------------------Yes 5037 1451 277 Corrected Thresholds-----------------------------------------No 5037 1451 278 Extended Cross Sections to 20 MeV----------------------------No 5037 1451 279 Allow Cross Section Deletion---------------------------------No 5037 1451 280 Allow Cross Section Reconstruction---------------------------Yes 5037 1451 281 Make All Cross Sections Non-Negative-------------------------Yes 5037 1451 282 Delete Energies Not in Ascending Order-----------------------Yes 5037 1451 283 Deleted Duplicate Points-------------------------------------Yes 5037 1451 284 Check for Ascending MAT/MF/MT Order--------------------------Yes 5037 1451 285 Check for Legal MF/MT Numbers--------------------------------Yes 5037 1451 286 Allow Creation of Missing Sections---------------------------No 5037 1451 287 Allow Insertion of Energy Points-----------------------------No 5037 1451 288 Create Uniform Energy Grid-----------------------------------No 5037 1451 289 Delete Section if Cross Section =0 at All Energies-----------Yes 5037 1451 290 **************** Program DICTIN (VERSION 2009-1) ****************5037 1451 291 1 451 337 15037 1451 292 2 151 269 15037 1451 293 3 1 5975 05037 1451 294 3 2 977 15037 1451 295 3 4 835 05037 1451 296 3 16 66 05037 1451 297 3 17 61 05037 1451 298 3 22 94 05037 1451 299 3 28 93 05037 1451 300 3 51 112 05037 1451 301 3 52 100 05037 1451 302 3 53 100 05037 1451 303 3 54 105 05037 1451 304 3 55 105 05037 1451 305 3 56 104 05037 1451 306 3 57 97 05037 1451 307 3 58 110 05037 1451 308 3 59 97 05037 1451 309 3 60 100 05037 1451 310 3 91 84 05037 1451 311 3 102 3674 05037 1451 312 3 103 95 05037 1451 313 3 104 93 05037 1451 314 3 105 81 05037 1451 315 3 107 90 05037 1451 316 4 2 172 05037 1451 317 4 16 10 05037 1451 318 4 17 10 05037 1451 319 4 22 10 05037 1451 320 4 28 10 05037 1451 321 4 51 22 05037 1451 322 4 52 22 05037 1451 323 4 53 22 05037 1451 324 4 54 22 05037 1451 325 4 55 22 05037 1451 326 4 56 22 05037 1451 327 4 57 22 05037 1451 328 4 58 22 05037 1451 329 4 59 22 05037 1451 330 4 60 22 05037 1451 331 4 91 22 05037 1451 332 5 16 56 15037 1451 333 5 17 22 15037 1451 334 5 22 191 15037 1451 335 5 28 101 15037 1451 336 5 91 117 05037 1451 337 5037 1 0 338 5037 0 0 339 50116.0000 114.906000 0 0 1 05037 2151 340 50116.0000 1.00000000 0 0 2 05037 2151 341 1.00000E-5 30000.0000 1 2 0 05037 2151 342 0.0 .620000000 0 0 2 05037 2151 343 114.906000 0.0 0 0 204 345037 2151 344 111.200000 .500000000 .123000000 .068000000 .055000000 0.0 5037 2151 345 748.200000 .500000000 .058300000 .007300000 .051000000 0.0 5037 2151 346 1338.90000 .500000000 .183100000 .128100000 .055000000 0.0 5037 2151 347 1548.10000 .500000000 2.07700000 2.02200000 .055000000 0.0 5037 2151 348 1787.40000 .500000000 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1848 2749.72527 4.60829387 2749.82482 4.60802337 2750.29947 4.607290745037 3 1 1849 2750.87366 4.60640742 2751.44786 4.60552687 2752.30916 4.604210985037 3 1 1850 2753.17045 4.60290070 2754.03174 4.60159573 2754.89304 4.600295875037 3 1 1851 2755.39546 4.59953996 2756.04143 4.59857059 2756.90273 4.597282535037 3 1 1852 2757.76402 4.59599966 2758.62531 4.59472219 2759.48661 4.593450405037 3 1 1853 2760.06080 4.59260591 2760.63500 4.59176424 2761.20920 4.590925575037 3 1 1854 2761.78340 4.59009008 2762.35759 4.58925797 2762.93179 4.588429445037 3 1 1855 2763.50598 4.58760475 2764.08018 4.58678413 2764.65437 4.585967915037 3 1 1856 2765.22857 4.58515636 2765.80277 4.58434982 2766.37697 4.583548665037 3 1 1857 2766.95116 4.58275329 2767.52536 4.58196408 2768.09955 4.581181515037 3 1 1858 2768.67375 4.58040603 2769.24794 4.57963817 2769.82214 4.578878455037 3 1 1859 2770.39634 4.57812746 2770.97054 4.57738581 2771.54473 4.576654155037 3 1 1860 2772.11893 4.57593316 2772.69312 4.57522358 2773.26732 4.574526155037 3 1 1861 2773.84151 4.57384172 2774.41571 4.57317112 2774.98991 4.572515265037 3 1 1862 2775.56411 4.57187508 2776.13830 4.57125159 2776.71250 4.570645825037 3 1 1863 2777.28669 4.57005888 2777.86089 4.56949190 2778.59760 4.568795635037 3 1 1864 2779.27203 4.56819104 2779.94646 4.56762004 2780.62089 4.567084885037 3 1 1865 2781.29532 4.56658791 2781.96975 4.56613162 2782.64418 4.565718565037 3 1 1866 2783.31861 4.56535142 2783.99304 4.56503299 2784.66747 4.564766165037 3 1 1867 2785.34190 4.56455391 2786.01633 4.56439933 2786.69076 4.564305625037 3 1 1868 2787.36519 4.56427606 2788.03962 4.56431401 2788.61990 4.564407735037 3 1 1869 2788.71405 4.56451583 2789.38848 4.56536471 2790.06291 4.566291675037 3 1 1870 2790.96215 4.56765541 2791.63658 4.56877887 2792.53581 4.570418175037 3 1 1871 2793.43505 4.57222727 2794.33429 4.57421518 2795.23353 4.576390885037 3 1 1872 2796.13277 4.57876329 2797.03201 4.58134115 2797.93125 4.584132975037 3 1 1873 2798.83049 4.58714699 2799.72973 4.59039102 2800.62897 4.593872435037 3 1 1874 2801.52821 4.59759801 2802.42745 4.60157391 2803.32669 4.605805525037 3 1 1875 2804.67555 4.61264211 2806.02441 4.62007541 2807.34524 4.627938115037 3 1 1876 2808.61004 4.63600863 2809.87484 4.64460315 2811.56124 4.656857215037 3 1 1877 2813.24764 4.66997817 2814.93404 4.68390163 2817.04204 4.702301655037 3 1 1878 2818.12670 4.71227063 2819.57164 4.72644411 2827.20968 4.803989385037 3 1 1879 2827.96231 4.81119732 2830.27475 4.83188033 2832.79819 4.852325495037 3 1 1880 2835.19855 4.86930455 2837.23731 4.88141098 2839.36840 4.891448085037 3 1 1881 2841.28513 4.89795974 2843.17850 4.90189310 2845.03475 4.903241065037 3 1 1882 2846.00000 4.90294356 2848.00475 4.90013926 2848.66392 4.898309265037 3 1 1883 2849.80300 4.89331350 2851.88068 4.88139067 2853.84945 4.867476285037 3 1 1884 2855.69891 4.85227920 2857.25917 4.83801674 2859.04474 4.820271895037 3 1 1885 2861.23381 4.79677640 2863.54731 4.77033643 2867.72371 4.720153595037 3 1 1886 2872.38096 4.66366820 2875.18204 4.63090034 2877.05167 4.609925195037 3 1 1887 2878.92130 4.58983406 2880.32352 4.57541137 2881.72574 4.561580295037 3 1 1888 2883.12796 4.54836496 2884.53018 4.53578058 2885.93241 4.523833965037 3 1 1889 2887.33462 4.51252469 2888.26943 4.50533571 2889.41854 4.496876775037 3 1 1890 2890.56765 4.48882617 2891.56473 4.48218526 2891.71676 4.481276305037 3 1 1891 2892.57859 4.47637637 2893.44042 4.47168646 2894.30225 4.467200115037 3 1 1892 2895.16408 4.46291049 2896.02592 4.45881045 2896.88774 4.454892845037 3 1 1893 2897.74957 4.45115002 2898.61140 4.44757447 2899.47324 4.444158515037 3 1 1894 2900.33507 4.44089458 2901.19690 4.43777502 2902.05872 4.434792315037 3 1 1895 2902.92056 4.43193893 2903.78239 4.42920768 2904.64422 4.426591395037 3 1 1896 2905.50605 4.42408312 2906.36788 4.42167612 2907.22971 4.419363905037 3 1 1897 2908.09154 4.41714017 2908.66610 4.41570385 2909.24065 4.414302495037 3 1 1898 2909.81521 4.41293437 2910.38976 4.41159791 2910.96431 4.410291545037 3 1 1899 2911.53886 4.40901373 2912.11342 4.40776302 2912.68797 4.406538045037 3 1 1900 2913.26253 4.40533740 2913.83708 4.40415983 2914.41164 4.403004055037 3 1 1901 2914.98619 4.40186890 2915.56074 4.40075321 2916.13529 4.399655895037 3 1 1902 2916.70985 4.39857585 2917.28440 4.39751214 2917.85896 4.396463775037 3 1 1903 2918.43351 4.39542985 2919.00807 4.39440948 2919.58262 4.393401875037 3 1 1904 2920.15717 4.39240621 2920.73172 4.39142176 2921.30628 4.390447805037 3 1 1905 2921.88083 4.38948369 2922.45538 4.38852877 2923.02993 4.387582455037 3 1 1906 2923.60449 4.38664415 2924.17904 4.38571335 2924.75359 4.384789545037 3 1 1907 2925.32560 4.38387629 2925.89507 4.38297307 2926.46454 4.382075405037 3 1 1908 2927.03401 4.38118290 2927.60348 4.38029520 2928.17295 4.379411965037 3 1 1909 2928.74242 4.37853286 2929.31189 4.37765761 2929.88136 4.376785935037 3 1 1910 2930.45083 4.37591754 2931.02030 4.37505222 2931.58977 4.374189725037 3 1 1911 2932.15924 4.37332985 2933.01344 4.37204451 2933.86764 4.370764015037 3 1 1912 2934.47578 4.36985500 2935.12259 4.36889037 2936.09280 4.367447205037 3 1 1913 2937.06301 4.36600803 2938.03321 4.36457234 2939.00342 4.363139625037 3 1 1914 2939.97363 4.36170949 2940.94385 4.36028157 2941.91405 4.358855595037 3 1 1915 2943.20766 4.35695678 2944.50127 4.35506035 2945.79489 4.353165845037 3 1 1916 2947.08850 4.35127291 2949.02892 4.34843581 2950.96934 4.345600785037 3 1 1917 2953.55656 4.34182301 2957.43740 4.33615939 2962.61185 4.328611025037 3 1 1918 2970.37352 4.31729153 2980.79543 4.30209513 2991.29034 4.286794475037 3 1 1919 2994.70680 4.28181421 3001.78525 4.26921837 3012.28015 4.250545075037 3 1 1920 3022.84909 4.23174215 3033.49207 4.21280982 3036.95673 4.206647515037 3 1 1921 3044.13504 4.19044809 3054.77800 4.16643278 3065.49605 4.142251315037 3 1 1922 3073.59090 4.12399062 3079.80272 4.10997960 3081.68574 4.104631615037 3 1 1923 3089.78058 4.08164404 3097.87542 4.05865953 3106.00833 4.035570435037 3 1 1924 3112.31448 4.01767057 3114.21738 4.01075527 3122.42643 3.980927565037 3 1 1925 3130.63547 3.95110533 3138.84452 3.92128940 3144.31722 3.901416185037 3 1 1926 3145.13061 3.89846303 3149.78993 3.87683282 3155.26266 3.851430625037 3 1 1927 3160.73539 3.82603310 3166.20812 3.80064088 3167.31667 3.795498685037 3 1 1928 3171.68085 3.77083054 3177.15358 3.73990330 3182.62631 3.708983975037 3 1 1929 3183.95622 3.70147260 3188.09904 3.67309124 3192.88592 3.640306305037 3 1 1930 3196.98696 3.61222603 3200.75227 3.58645174 3201.08800 3.583703025037 3 1 1931 3205.18904 3.55013554 3209.29007 3.51657857 3212.00181 3.494397735037 3 1 1932 3213.39111 3.48107789 3216.46689 3.45159866 3219.54267 3.422129415037 3 1 1933 3222.61845 3.39267231 3223.25135 3.38661379 3225.19165 3.364633595037 3 1 1934 3227.51356 3.33834166 3229.83547 3.31206303 3232.15738 3.285801175037 3 1 1935 3234.47929 3.25956077 3234.50088 3.25931698 3236.02723 3.239055045037 3 1 1936 3237.57517 3.21852122 3239.12311 3.19800506 3240.67105 3.177510155037 3 1 1937 3242.21899 3.15704083 3243.37995 3.14170869 3244.54090 3.126396645037 3 1 1938 3245.70186 3.11110741 3246.86281 3.09584471 3248.02377 3.080612235037 3 1 1939 3249.04434 3.06725036 3249.99473 3.05483457 3250.94510 3.042448495037 3 1 1940 3251.89549 3.03009504 3252.84587 3.01777845 3253.79625 3.005502805037 3 1 1941 3254.74663 2.99327275 3255.69701 2.98109342 3256.64739 2.968970455037 3 1 1942 3257.31737 2.96046833 3257.59778 2.95788682 3258.54815 2.949206865037 3 1 1943 3259.49854 2.94060341 3260.44892 2.93208484 3261.39930 2.923659835037 3 1 1944 3261.59547 2.92194208 3262.34968 2.91858667 3263.30006 2.914471975037 3 1 1945 3264.25044 2.91048192 3264.44753 2.90968282 3265.20083 2.909490695037 3 1 1946 3265.87356 2.90942512 3266.15120 2.91082107 3267.10158 2.915763275037 3 1 1947 3268.05196 2.92088426 3268.72562 2.92464615 3268.92205 2.927253515037 3 1 1948 3269.63155 2.93680121 3270.34105 2.94647373 3270.86467 2.953710115037 3 1 1949 3271.05056 2.95786586 3271.76006 2.97386832 3272.46956 2.990020285037 3 1 1950 3273.00371 3.00229965 3273.17907 3.00819468 3273.88857 3.032213515037 3 1 1951 3274.83458 3.06451677 3275.14276 3.07515076 3275.78058 3.103944985037 3 1 1952 3276.56879 3.13983241 3276.72659 3.14858170 3277.67259 3.201424145037 3 1 1953 3277.99482 3.21956607 3278.61860 3.26169926 3279.42085 3.316266305037 3 1 1954 3279.56460 3.32790276 3280.51061 3.40495821 3280.89801 3.436720835037 3 1 1955 3281.45661 3.49094928 3282.40261 3.58332484 3282.42629 3.585651455037 3 1 1956 3283.34861 3.69218292 3283.95458 3.76254500 3284.21619 3.797301295037 3 1 1957 3285.00534 3.90260705 3285.10079 3.91539990 3285.79449 4.019266025037 3 1 1958 3286.24700 4.08729535 3286.58364 4.14361865 3287.39322 4.279716975037 3 1 1959 3287.76736 4.34945652 3288.53943 4.49415025 3288.95109 4.579387865037 3 1 1960 3289.68565 4.73226884 3290.13480 4.83519938 3290.83186 4.995726315037 3 1 1961 3291.31853 5.11873412 3291.97807 5.28621319 3292.50225 5.431849875037 3 1 1962 3293.12429 5.60544225 3293.68598 5.77643517 3294.27050 5.955128085037 3 1 1963 3294.86970 6.15437306 3295.41671 6.33699169 3296.05342 6.567545595037 3 1 1964 3296.56293 6.75269374 3297.08280 6.95703353 3297.70914 7.204080405037 3 1 1965 3298.35242 7.47779020 3298.85536 7.69256595 3299.62204 8.044809825037 3 1 1966 3300.00157 8.21978146 3300.89166 8.66010663 3301.14778 8.787219505037 3 1 1967 3302.16127 9.32556021 3302.29400 9.39627792 3303.43089 10.04987385037 3 1 1968 3303.82228 10.2755180 3304.70051 10.8235875 3305.22105 11.14948495037 3 1 1969 3306.49029 12.0005913 3306.60493 12.0824093 3307.75953 12.90891885037 3 1 1970 3308.14555 13.2021046 3309.02877 13.8748220 3310.19970 14.81814185037 3 1 1971 3310.29801 14.8975694 3312.20187 16.5402541 3312.25385 16.58848345037 3 1 1972 3314.10573 18.3110539 3314.82152 19.0242237 3316.20399 20.40483915037 3 1 1973 3317.85604 22.1652973 3318.39944 22.7454292 3320.59488 25.22612795037 3 1 1974 3323.07151 28.1660941 3326.79897 32.8022284 3328.06118 34.40696395037 3 1 1975 3330.84586 37.9406576 3334.01265 41.9487305 3334.63600 42.73483725037 3 1 1976 3336.84925 45.3711450 3338.08357 46.8356937 3338.97170 47.80607745037 3 1 1977 3340.92355 49.9297802 3341.12820 50.1295944 3343.41523 52.35065865037 3 1 1978 3343.56669 52.4969219 3345.47526 54.0968594 3346.04985 54.57523475037 3 1 1979 3347.76408 55.7563899 3348.57627 56.3108111 3350.19612 57.15734925037 3 1 1980 3351.09143 57.6197418 3352.26062 58.0300407 3353.43902 58.43678605037 3 1 1981 3354.47012 58.6219385 3355.75776 58.8458183 3356.63174 58.87541115037 3 1 1982 3357.31914 58.8948147 3359.03764 58.7244942 3359.29051 58.69805805037 3 1 1983 3361.41408 58.1504566 3361.64976 58.0884321 3364.29871 56.94114905037 3 1 1984 3364.31467 56.9315605 3366.97528 55.3201786 3367.16860 55.17694635037 3 1 1985 3369.05896 53.7689330 3370.34783 52.6637115 3371.50935 51.66419425037 3 1 1986 3373.84467 49.4193262 3374.19298 49.0507360 3377.56937 45.47336615037 3 1 1987 3381.64045 40.8067757 3384.81469 37.1736185 3387.55738 34.04031145037 3 1 1988 3388.33487 33.1539097 3389.93534 31.4027036 3391.42926 29.77108895037 3 1 1989 3391.47057 29.7282049 3393.61716 27.5041912 3393.75006 27.36679405037 3 1 1990 3395.33156 25.8208120 3396.07085 25.0995806 3396.93306 24.31255815037 3 1 1991 3398.39164 22.9840205 3398.57868 22.8261995 3399.87482 21.73484305037 3 1 1992 3400.71243 21.0308707 3401.15456 20.6899280 3402.70645 19.49583495037 3 1 1993 3403.03323 19.2449126 3403.83176 18.6782189 3404.58042 18.14789755037 3 1 1994 3404.95708 17.8984709 3406.08239 17.1547358 3406.12762 17.12490005037 3 1 1995 3407.20771 16.4613987 3407.67481 16.1750397 3408.33302 15.80059955037 3 1 1996 3409.22200 15.2959640 3409.45834 15.1718298 3410.58365 14.58212015037 3 1 1997 3410.74730 14.4965691 3411.91782 13.9316750 3412.25070 13.77147505037 3 1 1998 3413.25199 13.3277203 3413.75411 13.1058467 3414.58616 12.76825425037 3 1 1999 3415.25751 12.4965777 3415.47560 12.4157614 3416.36504 12.08690735037 3 1 2000 3416.76092 11.9408614 3417.25448 11.7745832 3418.14393 11.47564465037 3 1 2001 3418.26432 11.4352770 3419.03337 11.2058180 3419.92282 10.94112285037 3 1 2002 3420.51942 10.7640305 3420.81226 10.6888562 3421.70171 10.46119015037 3 1 2003 3422.59115 10.2341772 3422.77453 10.1875046 3423.48059 10.03289225037 3 1 2004 3424.37003 9.83875117 3424.81475 9.74191252 3425.02963 9.695237705037 3 1 2005 3425.76942 9.55760414 3426.72408 9.38068552 3427.28473 9.277247815037 3 1 2006 3427.99697 9.16514622 3429.26985 8.96597408 3429.53984 8.923968905037 3 1 2007 3430.54274 8.79138345 3431.79494 8.62692423 3431.81562 8.624622175037 3 1 2008 3433.08851 8.48399187 3434.05004 8.37853650 3434.36139 8.350465715037 3 1 2009 3435.63428 8.23668899 3436.90716 8.12385287 3437.05685 8.110688155037 3 1 2010 3438.18005 8.03230191 3440.06365 7.90238031 3440.08937 7.900975935037 3 1 2011 3441.99870 7.79840577 3443.07046 7.74165028 3443.90803 7.708670835037 3 1 2012 3446.71376 7.60031551 3447.58067 7.56745637 3452.09087 7.449344205037 3 1 2013 3455.99504 7.38191687 3458.10449 7.34406385 3458.33642 7.341414955037 3 1 2014 3460.67779 7.31273438 3463.33079 7.27709591 3464.97963 7.252428255037 3 1 2015 3465.87550 7.24310987 3468.10028 7.21633157 3470.27692 7.186489005037 3 1 2016 3472.05445 7.15926549 3474.26733 7.12163879 3475.30000 7.102635795037 3 1 2017 3477.51288 7.05880948 3478.75126 7.03207368 3479.47813 7.017973195037 3 1 2018 3481.64679 6.97220487 3483.93893 6.91985312 3485.58631 6.879894705037 3 1 2019 3487.37303 6.83455601 3489.51099 6.77787974 3491.64894 6.718964395037 3 1 2020 3494.54701 6.63625192 3494.74135 6.63107071 3498.86456 6.517747895037 3 1 2021 3504.43089 6.36378812 3506.82913 6.29874543 3507.26560 6.288022725037 3 1 2022 3509.53337 6.23370119 3511.23419 6.19395511 3512.93501 6.155163575037 3 1 2023 3514.63583 6.11739552 3516.33665 6.08069988 3518.03747 6.045106625037 3 1 2024 3519.11125 6.02328640 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