53-I -129 ENDF/B-VII.1 Processed by Red Cullen using PREPRO2012 7100 0 0 0 53129.0000 127.798000 2 0 0 15331 1451 1 0.0 1.00000000 0 0 0 65331 1451 2 1.00000000 20000000.0 1 0 10 75331 1451 3 600.000000 0.0 1 0 293 725331 1451 4 53-I -129 JNDC,BNL EVAL-JAN05 JNDC FPND W.G., Mughabghab 5331 1451 5 DIST-DEC06 20111222 5331 1451 6 ----ENDF/B-VII.1 MATERIAL 5331 5331 1451 7 -----INCIDENT NEUTRON DATA 5331 1451 8 ------ENDF-6 FORMAT 5331 1451 9 5331 1451 10 ============================================================== 5331 1451 11 Covariances - BNL, July, 2011: Covariances were adopted from 5331 1451 12 COMMARA-2.0, which were adopted from the low-fidelity file 5331 1451 13 revisited at BNL in 2009. 5331 1451 14 ============================================================== 5331 1451 15 File produced by WPEC Subgroup 23 in 2004-2005 5331 1451 16 - WPEC: NEA Working Party on Evaluation Cooperation 5331 1451 17 - SG23: International library of fission product evaluations 5331 1451 18 5331 1451 19 5331 1451 20 File obtained by merging: &&5331 1451 21 - Resolved Resonances (MLBW) <3.4 keV : Ref.1 &&5331 1451 22 - Unresolved Resonances 3.4 keV - 100 keV : JENDL-3.3 &&5331 1451 23 - Fast neutron region >100 keV : JENDL-3.3 &&5331 1451 24 &&5331 1451 25 Calculated thermal cross sections & resonance integrals: &&5331 1451 26 --------------------------------------------- &&5331 1451 27 Reaction Cross section Res. integral &&5331 1451 28 (barn) (barn) &&5331 1451 29 Total 4.0630E+01 - &&5331 1451 30 Elastic 1.0226E+01 - &&5331 1451 31 Capture 3.0403E+01 2.88E+01 &&5331 1451 32 --------------------------------------------- &&5331 1451 33 5331 1451 34 Corrected threshold energy secondary energy distributions 5331 1451 35 in MF=5. 5331 1451 36 Corrected interpolation in MF=5. 5331 1451 37 Corrected MF=3, MT=2 at 9.48683 MeV for SUM UP problem 5331 1451 38 5331 1451 39 Reference: 5331 1451 40 1) S.F.Mughabghab: Atlas of Neutron Resonances, to be 5331 1451 41 published by Elsevier, 2006 (5-th edition of BNL-325) 5331 1451 42 ============================================================== 5331 1451 43 5331 1451 44 84-10 EVALUATION FOR JENDL-2 WAS MADE BY JNDC FPND W.G./1/ 5331 1451 45 90-03 MODIFICATION FOR JENDL-3 WAS MADE/2/. 5331 1451 46 5331 1451 47 MF = 1 GENERAL INFORMATION 5331 1451 48 MT=451 COMMENTS AND DICTIONARY 5331 1451 49 5331 1451 50 MF = 2 RESONANCE PARAMETERS 5331 1451 51 MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETERS 5331 1451 52 RESOLVED RESONANCE REGION (MLBW FORMULA) : BELOW 3.391 KEV 5331 1451 53 RESONANCE PARAMETERS OF JENDL-2 WERE MODIFIED AS FOLLOWS : 5331 1451 54 EVALUATION FOR JENDL-2 WAS CARRIED OUT ON THE BASIS OF THE 5331 1451 55 DATA MEASURED BY MACKLIN/3/. RESONANCE ENERGIES FOR 125 5331 1451 56 LEVELS WERE BASED ON THE MEASUREMENT BY MACKLIN EXCEPT THE 1ST5331 1451 57 LEVEL. NEUTRON ORBITAL ANGULAR MOMENTUM L WAS ASSUMED TO BE 05331 1451 58 FOR ALL RESONANCE LEVELS. RADIATION WIDTH FOR EACH RESONANCE 5331 1451 59 LEVEL WAS NOT GIVEN BY MACKLIN. THEREFORE, AVERAGE RADIATION 5331 1451 60 WIDTH OF 120 MEV WAS ASSUMED BY TAKING ACCOUNT OF THE MAXIMUM 5331 1451 61 VALUE (58.5 MEV) OF NEUTRON CAPTURE AREAS MEASURED BY MACKLIN.5331 1451 62 NEUTRON WIDTHS WERE DERIVED FROM THE NEUTRON CAPTURE AREAS AND5331 1451 63 THE AVERAGE RADIATION WIDTH. SINCE THE VALUES OF TOTAL SPIN 5331 1451 64 FOR ALL RESONANCE LEVELS WERE UNKNOWN, THE TARGET SPIN OF 3.5 5331 1451 65 WAS ADOPTED AS THEIR TOTAL SPIN. A NEGATIVE RESONANCE WAS 5331 1451 66 ADDED AT -10 EV SO AS TO REPRODUCE THE THERMAL CAPTURE CROSS 5331 1451 67 SECTION OF 27 BARNS GIVEN BY MUGHABGHAB ET AL./4/ SCATTERING 5331 1451 68 RADIUS WAS TAKEN FROM THE GRAPH (FIG. 1, PART A) GIVEN IN 5331 1451 69 REF./4/. 5331 1451 70 5331 1451 71 FOR JENDL-3, THE TOTAL SPIN OF 126 RESONANCE LEVELS WAS 5331 1451 72 TENTATIVELY ESTIMATED WITH A RANDOM NUMBER METHOD. NEUTRON 5331 1451 73 WIDTHS OF THESE LEVELS WERE MODIFIED ON THE BASIS OF THE 5331 1451 74 ESTIMATED J-VALUES. NEUTRON AND RADIATION WIDTHS OF THE 5331 1451 75 NEGATIVE RESONANCE LEVEL WERE ALSO MODIFIED SO AS TO REPRODUCE5331 1451 76 THE THERMAL CAPTURE CROSS SECTION ACCORDING TO THE ABOVE 5331 1451 77 MODIFICATION OF THE NEUTRON WIDTHS. 5331 1451 78 5331 1451 79 UNRESOLVED RESONANCE REGION : 3.391 KEV - 100 KEV 5331 1451 80 UNRESOLVED RESONANCE PARAMETERS WERE ADOPTED FROM JENDL-2. 5331 1451 81 THE PARAMETERS WERE ADJUSTED TO REPRODUCE THE CAPTURE CROSS 5331 1451 82 SECTION MEASURED BY MACKLIN /3/. THE EFFECTIVE SCATTERING 5331 1451 83 RADIUS WAS OBTAINED FROM FITTING TO THE CALCULATED TOTAL CROSS5331 1451 84 SECTION AT 100 KEV. 5331 1451 85 5331 1451 86 TYPICAL VALUES OF THE PARAMETERS AT 70 KEV: 5331 1451 87 S0 = 0.532E-4, S1 = 1.332E-4, S2 = 0.887E-4, SG = 51.8E-4, 5331 1451 88 GG = 0.160 EV, R = 5.390 FM. 5331 1451 89 5331 1451 90 CALCULATED 2200-M/S CROSS SECTIONS AND RES. INTEGRALS (BARNS) 5331 1451 91 2200 M/S RES. INTEG. 5331 1451 92 TOTAL 33.47 - 5331 1451 93 ELASTIC 6.471 - 5331 1451 94 CAPTURE 27.00 29.4 5331 1451 95 5331 1451 96 MF = 3 NEUTRON CROSS SECTIONS 5331 1451 97 BELOW 100 KEV, RESONANCE PARAMETERS WERE GIVEN. 5331 1451 98 ABOVE 100 KEV, THE SPHERICAL OPTICAL AND STATISTICAL MODEL 5331 1451 99 CALCULATION WAS PERFORMED WITH CASTHY/5/, BY TAKING ACCOUNT OF 5331 1451 100 COMPETING REACTIONS, OF WHICH CROSS SECTIONS WERE CALCULATED 5331 1451 101 WITH PEGASUS/6/ STANDING ON A PREEQUILIBRIUM AND MULTI-STEP 5331 1451 102 EVAPORATION MODEL. THE OMP'S FOR NEUTRON GIVEN IN TABLE 1 WERE 5331 1451 103 DETERMINED TO REPRODUCE A SYSTEMATIC TREND OF THE TOTAL CROSS 5331 1451 104 SECTION, CHANGED FROM R0 AND RSO OF IIJIMA AND KAWAI/7/. THE 5331 1451 105 OMP'S FOR CHARGED PARTICLES ARE AS FOLLOWS: 5331 1451 106 PROTON = PEREY/8/ 5331 1451 107 ALPHA = HUIZENGA AND IGO/9/ 5331 1451 108 DEUTERON = LOHR AND HAEBERLI/10/ 5331 1451 109 HELIUM-3 AND TRITON = BECCHETTI AND GREENLEES/11/ 5331 1451 110 PARAMETERS FOR THE COMPOSITE LEVEL DENSITY FORMULA OF GILBERT 5331 1451 111 AND CAMERON/12/ WERE EVALUATED BY IIJIMA ET AL./13/ MORE 5331 1451 112 EXTENSIVE DETERMINATION AND MODIFICATION WERE MADE IN THE 5331 1451 113 PRESENT WORK. TABLE 2 SHOWS THE LEVEL DENSITY PARAMETERS USED 5331 1451 114 IN THE PRESENT CALCULATION. ENERGY DEPENDENCE OF SPIN CUT-OFF 5331 1451 115 PARAMETER IN THE ENERGY RANGE BELOW E-JOINT IS DUE TO GRUPPELAAR5331 1451 116 /14/. 5331 1451 117 5331 1451 118 MT = 1 TOTAL 5331 1451 119 SPHERICAL OPTICAL MODEL CALCULATION WAS ADOPTED. 5331 1451 120 5331 1451 121 MT = 2 ELASTIC SCATTERING 5331 1451 122 CALCULATED AS (TOTAL - SUM OF PARTIAL CROSS SECTIONS). 5331 1451 123 5331 1451 124 MT = 4, 51 - 91 INELASTIC SCATTERING 5331 1451 125 SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WAS 5331 1451 126 ADOPTED. THE LEVEL SCHEME WAS TAKEN FROM REF./15/ 5331 1451 127 5331 1451 128 NO. ENERGY(MEV) SPIN-PARITY 5331 1451 129 GR. 0.0 7/2 + 5331 1451 130 1 0.0278 5/2 + 5331 1451 131 2 0.2784 3/2 + 5331 1451 132 3 0.4874 5/2 + 5331 1451 133 4 0.5596 1/2 + 5331 1451 134 5 0.6960 11/2 + 5331 1451 135 6 0.7296 9/2 + 5331 1451 136 7 0.7689 7/2 + 5331 1451 137 8 0.8299 3/2 + 5331 1451 138 9 0.8450 7/2 + 5331 1451 139 10 1.0470 3/2 + 5331 1451 140 11 1.0504 7/2 + 5331 1451 141 12 1.1117 5/2 + 5331 1451 142 13 1.2100 1/2 + 5331 1451 143 14 1.2608 5/2 + 5331 1451 144 15 1.2821 3/2 + 5331 1451 145 16 1.2922 1/2 + 5331 1451 146 17 1.4016 9/2 + 5331 1451 147 18 1.4835 1/2 + 5331 1451 148 LEVELS ABOVE 1.55 MEV WERE ASSUMED TO BE OVERLAPPING. 5331 1451 149 5331 1451 150 MT = 102 CAPTURE 5331 1451 151 SPHERICAL OPTICAL AND STATISTICAL MODEL CALCULATION WITH 5331 1451 152 CASTHY WAS ADOPTED. DIRECT AND SEMI-DIRECT CAPTURE CROSS 5331 1451 153 SECTIONS WERE ESTIMATED ACCORDING TO THE PROCEDURE OF BENZI 5331 1451 154 AND REFFO/16/ AND NORMALIZED TO 1 MILLI-BARN AT 14 MEV. 5331 1451 155 5331 1451 156 THE GAMMA-RAY STRENGTH FUNCTION (5.13E-03) WAS ADJUSTED TO 5331 1451 157 REPRODUCE THE CAPTURE CROSS SECTION OF 215 MILLI-BARNS AT 100 5331 1451 158 KEV MEASURED BY MACKLIN./3/ 5331 1451 159 5331 1451 160 MT = 16 (N,2N) CROSS SECTION 5331 1451 161 MT = 17 (N,3N) CROSS SECTION 5331 1451 162 MT = 22 (N,N'A) CROSS SECTION 5331 1451 163 MT = 28 (N,N'P) CROSS SECTION 5331 1451 164 MT = 32 (N,N'D) CROSS SECTION 5331 1451 165 MT = 33 (N,N'T) CROSS SECTION 5331 1451 166 MT =103 (N,P) CROSS SECTION 5331 1451 167 MT =104 (N,D) CROSS SECTION 5331 1451 168 MT =105 (N,T) CROSS SECTION 5331 1451 169 MT =107 (N,ALPHA) CROSS SECTION 5331 1451 170 THESE REACTION CROSS SECTIONS WERE CALCULATED WITH THE 5331 1451 171 PREEQUILIBRIUM AND MULTI-STEP EVAPORATION MODEL CODE PEGASUS. 5331 1451 172 5331 1451 173 THE KALBACH'S CONSTANT K (= 221.7) WAS ESTIMATED BY THE 5331 1451 174 FORMULA DERIVED FROM KIKUCHI-KAWAI'S FORMALISM/17/ AND LEVEL 5331 1451 175 DENSITY PARAMETERS. 5331 1451 176 5331 1451 177 FINALLY, THE (N,2N), (N,P) AND (N,ALPHA) CROSS SECTIONS WERE 5331 1451 178 NORMALIZED TO THE FOLLOWING VALUES AT 14.5 MEV: 5331 1451 179 (N,2N) 1500.00 MB (SYSTEMATICS OF WEN DEN LU+/18/) 5331 1451 180 (N,P) 3.64 MB (SYSTEMATICS OF FORREST/19/) 5331 1451 181 (N,ALPHA) 1.86 MB (SYSTEMATICS OF FORREST) 5331 1451 182 5331 1451 183 MT = 251 MU-BAR 5331 1451 184 CALCULATED WITH CASTHY. 5331 1451 185 5331 1451 186 MF = 4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 5331 1451 187 LEGENDRE POLYNOMIAL COEFFICIENTS FOR ANGULAR DISTRIBUTIONS ARE 5331 1451 188 GIVEN IN THE CENTER-OF-MASS SYSTEM FOR MT=2 AND DISCRETE INELAS-5331 1451 189 TIC LEVELS, AND IN THE LABORATORY SYSTEM FOR MT=91. THEY WERE 5331 1451 190 CALCULATED WITH CASTHY. FOR OTHER REACTIONS, ISOTROPIC DISTRI- 5331 1451 191 BUTIONS IN THE LABORATORY SYSTEM WERE ASSUMED. 5331 1451 192 5331 1451 193 MF = 5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS 5331 1451 194 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS WERE CALCULATED WITH 5331 1451 195 PEGASUS FOR INELASTIC SCATTERING FROM OVERLAPPING LEVELS AND FOR5331 1451 196 OTHER NEUTRON EMITTING REACTIONS. 5331 1451 197 5331 1451 198 TABLE 1 NEUTRON OPTICAL POTENTIAL PARAMETERS 5331 1451 199 5331 1451 200 DEPTH (MEV) RADIUS(FM) DIFFUSENESS(FM) 5331 1451 201 ---------------------- ------------ --------------- 5331 1451 202 V = 45.97-0.199E R0 = 6.481 A0 = 0.62 5331 1451 203 WS = 6.502 RS = 6.926 AS = 0.35 5331 1451 204 VSO= 7.0 RSO= 6.49 ASO= 0.62 5331 1451 205 THE FORM OF SURFACE ABSORPTION PART IS DER. WOODS-SAXON TYPE. 5331 1451 206 5331 1451 207 TABLE 2 LEVEL DENSITY PARAMETERS 5331 1451 208 5331 1451 209 NUCLIDE A(1/MEV) T(MEV) C(1/MEV) EX(MEV) PAIRING 5331 1451 210 --------------------------------------------------------------- 5331 1451 211 51-SB-125 1.700E+01 5.120E-01 7.883E-01 3.792E+00 1.090E+00 5331 1451 212 51-SB-126 1.700E+01 5.250E-01 7.566E+00 2.897E+00 0.0 5331 1451 213 51-SB-127 1.700E+01 5.120E-01 6.326E-01 3.902E+00 1.200E+00 5331 1451 214 51-SB-128 1.468E+01 5.600E-01 4.264E+00 2.658E+00 0.0 5331 1451 215 5331 1451 216 52-TE-126 1.706E+01 6.100E-01 5.154E-01 6.554E+00 2.230E+00 5331 1451 217 52-TE-127 2.004E+01 5.380E-01 3.633E+00 5.165E+00 1.140E+00 5331 1451 218 52-TE-128 1.800E+01 6.090E-01 6.586E-01 7.010E+00 2.340E+00 5331 1451 219 52-TE-129 2.015E+01 5.350E-01 3.588E+00 5.141E+00 1.140E+00 5331 1451 220 5331 1451 221 53-I -127 1.717E+01 6.263E-01 4.458E+00 5.757E+00 1.090E+00 5331 1451 222 53-I -128 1.715E+01 6.200E-01 2.329E+01 4.542E+00 0.0 5331 1451 223 53-I -129 1.720E+01 6.200E-01 3.436E+00 5.762E+00 1.200E+00 5331 1451 224 53-I -130 1.640E+01 6.000E-01 1.297E+01 3.896E+00 0.0 5331 1451 225 --------------------------------------------------------------- 5331 1451 226 5331 1451 227 SPIN CUTOFF PARAMETERS WERE CALCULATED AS 0.146*SQRT(A)*A**(2/3).5331 1451 228 IN THE CASTHY CALCULATION, SPIN CUTOFF FACTORS AT 0 MEV WERE 5331 1451 229 ASSUMED TO BE 5.277 FOR I -129 AND 5.0 FOR I -130. 5331 1451 230 5331 1451 231 REFERENCES 5331 1451 232 1) AOKI, T. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR BASIC 5331 1451 233 AND APPLIED SCIENCE, SANTA FE., VOL. 2, P.1627 (1985). 5331 1451 234 2) KAWAI, M. ET AL.: PROC. INT. CONF. ON NUCLEAR DATA FOR SCIENCE5331 1451 235 AND TECHNOLOGY, MITO, P. 569 (1988). 5331 1451 236 3) MACKLIN, R.L.: NUCL. SCI. ENG., 85, 350 (1983). 5331 1451 237 4) MUGHABGHAB, S.F. ET AL.: "NEUTRON CROSS SECTIONS, VOL. I, 5331 1451 238 PART A", ACADEMIC PRESS (1981). 5331 1451 239 5) IGARASI, S.: J. NUCL. SCI. TECHNOL., 12, 67 (1975). 5331 1451 240 6) IIJIMA, S. ET AL.: JAERI-M 87-025, P. 337 (1987). 5331 1451 241 7) IIJIMA, S. AND KAWAI, M.: J. NUCL. SCI. TECHNOL., 20, 77 5331 1451 242 (1983). 5331 1451 243 8) PEREY, F.G: PHYS. REV. 131, 745 (1963). 5331 1451 244 9) HUIZENGA, J.R. AND IGO, G.: NUCL. PHYS. 29, 462 (1962). 5331 1451 245 10) LOHR, J.M. AND HAEBERLI, W.: NUCL. PHYS. A232, 381 (1974). 5331 1451 246 11) BECCHETTI, F.D., JR. AND GREENLEES, G.W.: POLARIZATION 5331 1451 247 PHENOMENA IN NUCLEAR REACTIONS ((EDS) H.H. BARSHALL AND 5331 1451 248 W. HAEBERLI), P. 682, THE UNIVERSITY OF WISCONSIN PRESS. 5331 1451 249 (1971). 5331 1451 250 12) GILBERT, A. AND CAMERON, A.G.W.: CAN. J. PHYS., 43, 1446 5331 1451 251 (1965). 5331 1451 252 13) IIJIMA, S., ET AL.: J. NUCL. SCI. TECHNOL. 21, 10 (1984). 5331 1451 253 14) GRUPPELAAR, H.: ECN-13 (1977). 5331 1451 254 15) MATSUMOTO, J., ET AL.: JAERI-M 7734 (1978). 5331 1451 255 16) BENZI, V. AND REFFO, G.: CCDN-NW/10 (1969). 5331 1451 256 17) KIKUCHI, K. AND KAWAI, M.: "NUCLEAR MATTER AND NUCLEAR 5331 1451 257 REACTIONS", NORTH HOLLAND (1968). 5331 1451 258 18) WEN DEN LU AND FINK, R.W.: PHYS. REV., C4, 1173 (1971). 5331 1451 259 19) FORREST, R.A.: AERE-R 12419 (1986). 5331 1451 260 5331 1451 261 ***************** Program LINEAR (VERSION 2012-1) ***************5331 1451 262 For All Data Greater than 1.0000E-10 barns in Absolute Value 5331 1451 263 Data Linearized to Within an Accuracy of .010000000 per-cent 5331 1451 264 ***************** Program RECENT (VERSION 2012-1) ***************5331 1451 265 For All Data Greater than 1.0000E-10 barns in Absolute Value 5331 1451 266 Data Linearized Using Energy Dependent Uncertainty 5331 1451 267 Energy Accuracy 5331 1451 268 (eV) (per-cent) 5331 1451 269 ----------- ----------- 5331 1451 270 1.00000000 .010000000 5331 1451 271 2.00000000 .100000000 5331 1451 272 ***************** Program SIGMA1 (VERSION 2012-1) ***************5331 1451 273 Data Doppler Broadened to 600.000000 Kelvin 5331 1451 274 For All Data Greater than 1.0000E-10 barns in Absolute Value 5331 1451 275 Data Linearized Using Energy Dependent Uncertainty 5331 1451 276 Energy Accuracy 5331 1451 277 (eV) (per-cent) 5331 1451 278 ----------- ----------- 5331 1451 279 1.00000000 .010000000 5331 1451 280 2.00000000 .100000000 5331 1451 281 ***************** Program FIXUP (Version 2012-1) ****************5331 1451 282 Corrected ZA/AWR in All Sections-----------------------------Yes 5331 1451 283 Corrected Thresholds-----------------------------------------No 5331 1451 284 Extended Cross Sections to 20 MeV----------------------------No 5331 1451 285 Allow Cross Section Deletion---------------------------------No 5331 1451 286 Allow Cross Section Reconstruction---------------------------Yes 5331 1451 287 Make All Cross Sections Non-Negative-------------------------Yes 5331 1451 288 Delete Energies Not in Ascending Order-----------------------Yes 5331 1451 289 Deleted Duplicate Points-------------------------------------Yes 5331 1451 290 Check for Ascending MAT/MF/MT Order--------------------------Yes 5331 1451 291 Check for Legal MF/MT Numbers--------------------------------Yes 5331 1451 292 Allow Creation of Missing Sections---------------------------Yes 5331 1451 293 Allow Insertion of Energy Points-----------------------------No 5331 1451 294 Uniform Energy Grid for ALL MT-------------------------------No 5331 1451 295 Delete Section if Cross Section =0 at All Energies-----------Yes 5331 1451 296 **************** Program DICTIN (VERSION 2012-1) ****************5331 1451 297 1 451 369 15331 1451 298 2 151 304 15331 1451 299 3 1 10456 15331 1451 300 3 2 2423 15331 1451 301 3 4 157 05331 1451 302 3 16 8 05331 1451 303 3 17 5 05331 1451 304 3 22 81 05331 1451 305 3 28 90 05331 1451 306 3 32 73 05331 1451 307 3 33 65 05331 1451 308 3 51 50 05331 1451 309 3 52 45 05331 1451 310 3 53 42 05331 1451 311 3 54 41 05331 1451 312 3 55 40 05331 1451 313 3 56 39 05331 1451 314 3 57 38 05331 1451 315 3 58 38 05331 1451 316 3 59 38 05331 1451 317 3 60 36 05331 1451 318 3 61 37 05331 1451 319 3 62 37 05331 1451 320 3 63 35 05331 1451 321 3 64 36 05331 1451 322 3 65 35 05331 1451 323 3 66 34 05331 1451 324 3 67 35 05331 1451 325 3 68 32 05331 1451 326 3 91 21 05331 1451 327 3 102 7432 05331 1451 328 3 103 83 05331 1451 329 3 104 88 05331 1451 330 3 105 82 05331 1451 331 3 107 83 05331 1451 332 4 2 197 05331 1451 333 4 16 10 05331 1451 334 4 17 10 05331 1451 335 4 22 10 05331 1451 336 4 28 10 05331 1451 337 4 32 10 05331 1451 338 4 33 10 05331 1451 339 4 51 27 05331 1451 340 4 52 27 05331 1451 341 4 53 27 05331 1451 342 4 54 27 05331 1451 343 4 55 26 05331 1451 344 4 56 26 05331 1451 345 4 57 26 05331 1451 346 4 58 26 05331 1451 347 4 59 26 05331 1451 348 4 60 23 05331 1451 349 4 61 23 05331 1451 350 4 62 23 05331 1451 351 4 63 23 05331 1451 352 4 64 23 05331 1451 353 4 65 23 05331 1451 354 4 66 23 05331 1451 355 4 67 23 05331 1451 356 4 68 23 05331 1451 357 4 91 23 05331 1451 358 5 16 59 15331 1451 359 5 17 30 15331 1451 360 5 22 205 15331 1451 361 5 28 130 15331 1451 362 5 32 43 15331 1451 363 5 33 37 15331 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.087000000 0.0 5331 2151 385 290.800000 4.00000000 .102022200 .015022220 .087000000 0.0 5331 2151 386 295.800000 3.00000000 .090085720 .003085714 .087000000 0.0 5331 2151 387 365.200000 3.00000000 .090771440 .003771428 .087000000 0.0 5331 2151 388 410.400000 4.00000000 .146111100 .059111110 .087000000 0.0 5331 2151 389 423.600000 4.00000000 .224777800 .137777800 .087000000 0.0 5331 2151 390 454.600000 3.00000000 .152028600 .065028570 .087000000 0.0 5331 2151 391 469.600000 4.00000000 .206111100 .119111100 .087000000 0.0 5331 2151 392 489.700000 3.00000000 .174542900 .087542850 .087000000 0.0 5331 2151 393 548.400000 4.00000000 .140333300 .053333330 .087000000 0.0 5331 2151 394 596.100000 3.00000000 .101057100 .014057140 .087000000 0.0 5331 2151 395 693.800000 3.00000000 .307971400 .228571400 .079400000 0.0 5331 2151 396 720.200000 3.00000000 .130885700 .043885720 .087000000 0.0 5331 2151 397 797.600000 4.00000000 .199355600 .112355600 .087000000 0.0 5331 2151 398 804.300000 4.00000000 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146.500000 460.4456015331 310215236 146.532406 458.640110 146.559025 454.633168 146.586416 448.2037845331 310215237 146.614193 439.404164 146.641969 428.457339 146.674375 413.2150435331 310215238 146.709868 393.848885 146.749990 369.198030 146.796283 338.0804855331 310215239 146.881929 276.826685 146.939796 235.635399 146.976446 210.6012335331 310215240 147.016953 184.389135 147.050710 163.961427 147.079644 147.5969475331 310215241 147.105684 133.825574 147.131725 120.985416 147.157766 109.0854195331 310215242 147.175126 101.672355 147.192486 94.6699757 147.215633 85.95981385331 310215243 147.232994 79.8848669 147.250355 74.1902866 147.267715 68.86394025331 310215244 147.285075 63.8919575 147.302435 59.2599265 147.319796 54.95252715331 310215245 147.337156 50.9547009 147.354516 47.2503452 147.371876 43.82348775331 310215246 147.389237 40.6580021 147.409008 37.3515355 147.422993 35.19268475331 310215247 147.436978 33.1739284 147.450962 31.2876645 147.464947 29.52610355331 310215248 147.478932 27.8820971 147.499909 25.6212274 147.520886 23.58642975331 310215249 147.541864 21.7563778 147.562840 20.1115098 147.583818 18.63314565331 310215250 147.604795 17.3045761 147.618779 16.4943525 147.635658 15.58973525331 310215251 147.652536 14.7588114 147.669414 13.9950602 147.686292 13.29252245331 310215252 147.703170 12.6457188 147.728487 11.7691391 147.753804 10.99156305331 310215253 147.779122 10.2997268 147.804439 9.68219721 147.829756 9.129014425331 310215254 147.855073 8.63162100 147.880390 8.18266328 147.910530 7.702650295331 310215255 147.943081 7.24103377 147.975631 6.82934584 148.008182 6.459938505331 310215256 148.040733 6.12659123 148.062433 5.92183720 148.105834 5.548562245331 310215257 148.149235 5.21675387 148.192636 4.91977334 148.236036 4.652393195331 310215258 148.283055 4.39129136 148.330072 4.15578585 148.377090 3.942428215331 310215259 148.424107 3.74842183 148.486797 3.51587944 148.549488 3.309141355331 310215260 148.612178 3.12460086 148.674868 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310215273 151.274288 3.70870175 151.305282 3.92470680 151.336275 4.172343495331 310215274 151.356938 4.35818426 151.377600 4.56322579 151.398263 4.790089485331 310215275 151.418925 5.04171556 151.439588 5.32149314 151.460250 5.633206155331 310215276 151.480913 5.98118877 151.501575 6.37025174 151.522238 6.805867135331 310215277 151.542900 7.29406567 151.558397 7.69878829 151.573894 8.140010565331 310215278 151.589391 8.62109602 151.604888 9.14566038 151.620385 9.717580135331 310215279 151.635882 10.3409998 151.651379 11.0203376 151.666875 11.76023995331 310215280 151.682372 12.5657772 151.697869 13.4421582 151.713366 14.39491285331 310215281 151.728863 15.4298397 151.744360 16.5529972 151.759857 17.77068905331 310215282 151.775354 19.0894473 151.790850 20.5159146 151.807639 22.19109245331 310215283 151.824427 24.0098007 151.841216 25.9813976 151.858004 28.11487635331 310215284 151.874792 30.4195931 151.891581 32.9048811 151.908369 35.57947185331 310215285 151.925157 38.4522853 151.941945 41.5317451 151.958733 44.82580795331 310215286 151.979051 49.1100434 151.997303 53.2454704 152.015555 57.65984405331 310215287 152.033807 62.3589252 152.052059 67.3468551 152.070311 72.62594895331 310215288 152.097689 81.0905507 152.122828 89.4328253 152.150378 99.18231035331 310215289 152.177928 109.532960 152.212365 123.239701 152.250935 139.4506785331 310215290 152.312923 166.791796 152.383175 198.199768 152.433316 219.6521965331 310215291 152.475743 236.388927 152.510456 248.694927 152.540210 258.0072365331 310215292 152.567760 265.456221 152.600820 272.734628 152.629472 277.4533365331 310215293 152.658675 280.651409 152.687327 282.150668 152.700000 282.2879515331 310215294 152.728101 281.438819 152.757304 278.888667 152.783752 275.1519875331 310215295 152.812404 269.642258 152.845464 261.523254 152.874116 253.0995815331 310215296 152.907176 241.976375 152.946022 227.304394 152.994785 207.0646185331 310215297 153.069170 174.121475 153.132535 145.977444 153.169728 130.0768655331 310215298 153.206920 114.936097 153.239980 102.265147 153.264775 93.31015585331 310215299 153.289570 84.8576950 153.314365 76.9269372 153.339160 69.52833545331 310215300 153.359134 63.9572333 153.379108 58.7311519 153.399082 53.84533835331 310215301 153.419055 49.2928991 153.439029 45.0642236 153.459003 41.14866575331 310215302 153.478977 37.5339209 153.498950 34.2067148 153.517031 31.43057935331 310215303 153.535110 28.8674761 153.553190 26.5056783 153.571269 24.33403785331 310215304 153.589349 22.3408954 153.607429 20.5150524 153.625509 18.84537205331 310215305 153.643588 17.3210638 153.661668 15.9314206 153.679747 14.66644475331 310215306 153.691800 13.8875019 153.707297 12.9565487 153.722794 12.09976065331 310215307 153.738291 11.3117536 153.753788 10.5874164 153.769285 9.921912515331 310215308 153.784782 9.31068033 153.800279 8.74943038 153.815775 8.234172915331 310215309 153.831272 7.76108166 153.846769 7.32668557 153.862266 6.927724315331 310215310 153.877763 6.56117340 153.893260 6.22423385 153.908757 5.914321285331 310215311 153.924254 5.62905474 153.939750 5.36626158 153.958691 5.072626985331 310215312 153.977632 4.80622438 153.996573 4.56407479 154.015513 4.343528055331 310215313 154.034454 4.14218905 154.062865 3.87167339 154.091275 3.633574245331 310215314 154.119687 3.42274872 154.148098 3.23496822 154.176509 3.066700885331 310215315 154.204919 2.91503570 154.233330 2.77755038 154.266907 2.630648725331 310215316 154.303066 2.48843942 154.339225 2.36021134 154.375385 2.243837785331 310215317 154.411544 2.13762705 154.459757 2.00948441 154.507969 1.894429915331 310215318 154.556182 1.79046780 154.604394 1.69603051 154.659494 1.598151105331 310215319 154.721482 1.49905210 154.783469 1.40995552 154.845457 1.329459615331 310215320 154.907444 1.25642321 154.969432 1.18989638 155.031419 1.129087745331 310215321 155.093407 1.07332472 155.165725 1.01389010 155.248375 .9524468535331 310215322 155.331025 .897007731 155.413675 .846779260 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1985.86612 1.45949482 1985.92611 1.59344837 1985.98196 1.728487585331 310218990 1986.03781 1.87404974 1986.09367 2.03071063 1986.14951 2.198923425331 310218991 1986.20536 2.37930460 1986.26121 2.57233804 1986.31707 2.778552925331 310218992 1986.37292 2.99833875 1986.42877 3.23216056 1986.48461 3.480361405331 310218993 1986.54667 3.77354143 1986.60873 4.08534305 1986.67079 4.416062415331 310218994 1986.73284 4.76583205 1986.82593 5.32652186 1986.91902 5.930033475331 310218995 1987.00548 6.52802452 1987.10312 7.24485076 1987.22517 8.198163035331 310218996 1987.37162 9.41466550 1987.56193 11.0822542 1987.87470 13.88875465331 310218997 1988.04681 15.3691954 1988.19658 16.5610610 1988.32813 17.50085165331 310218998 1988.43289 18.1597069 1988.52208 18.6483944 1988.62402 19.11681285331 310218999 1988.74581 19.5395190 1988.84114 19.7597728 1988.93910 19.88080425331 310219000 1989.00000 19.9012903 1989.10591 19.8365008 1989.20124 19.67019475331 310219001 1989.30714 19.3688300 1989.39187 19.0430900 1989.49778 18.53673215331 310219002 1989.62223 17.8132627 1989.73146 17.0777319 1989.86053 16.10743695331 310219003 1990.01278 14.8542539 1990.22792 12.9606724 1990.52496 10.30081855331 310219004 1990.65156 9.20796039 1990.77816 8.16308488 1990.90103 7.206514445331 310219005 1991.00859 6.42240587 1991.08927 5.86947484 1991.16994 5.348064415331 310219006 1991.25061 4.85875641 1991.31681 4.48137951 1991.38300 4.125785965331 310219007 1991.44920 3.79165797 1991.51539 3.47874816 1991.58159 3.186491665331 310219008 1991.64778 2.91440071 1991.71398 2.66172696 1991.78017 2.427806175331 310219009 1991.84224 2.22473684 1991.90429 2.03678180 1991.96635 1.863124215331 310219010 1992.02840 1.70308081 1992.09046 1.55585165 1992.15252 1.420713465331 310219011 1992.21458 1.29692099 1992.27663 1.18375709 1992.33869 1.080466535331 310219012 1992.40074 .986383988 1992.44211 .928429286 1992.49176 .8635998505331 310219013 1992.54141 .803619267 1992.59106 .748175668 1992.64070 .6969797415331 310219014 1992.69035 .649724688 1992.73999 .606156680 1992.78964 .5659985665331 310219015 1992.83928 .529020349 1992.88893 .494974162 1992.93857 .4636539255331 310219016 1992.98822 .434840040 1993.03786 .408349767 1993.08751 .3839902695331 310219017 1993.13715 .361601074 1993.18680 .341014246 1993.25299 .3161254255331 310219018 1993.30264 .299197332 1993.36883 .278715078 1993.43503 .2603681015331 310219019 1993.50122 .243920207 1993.56742 .229149840 1993.63361 .2158680585331 310219020 1993.69981 .203898549 1993.76600 .193091899 1993.83220 .1833092045331 310219021 1993.89839 .174433522 1993.96459 .166356370 1994.03078 .1589870445331 310219022 1994.13008 .149080133 1994.22937 .140347049 1994.33694 .1319863805331 310219023 1994.46105 .123511799 1994.58517 .116062640 1994.70929 .1094515285331 310219024 1994.83340 .103532572 1994.95751 .098190957 1995.08163 .0933365805331 310219025 1995.20574 .088899200 1995.37123 .083533968 1995.53671 .0787045605331 310219026 1995.71875 .073914283 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3291.99345 .1653200265331 310221848 3292.07466 .172269049 3292.15587 .180302027 3292.23708 .1894670435331 310221849 3292.31829 .199813883 3292.39950 .211393186 3292.48070 .2242538755331 310221850 3292.56191 .238448709 3292.64312 .254023804 3292.72433 .2710237785331 310221851 3292.80554 .289489193 3292.88674 .309452921 3292.96795 .3309490695331 310221852 3293.04916 .353997126 3293.15744 .387163814 3293.26572 .4231173285331 310221853 3293.37882 .463614856 3293.49674 .508956873 3293.61466 .5573378825331 310221854 3293.73258 .608548715 3293.90947 .690055070 3294.08635 .7760752435331 310221855 3294.63540 1.05340728 3294.84009 1.15168422 3295.00136 1.223348275331 310221856 3295.13627 1.27796608 3295.29909 1.33590869 3295.42284 1.373189885331 310221857 3295.57325 1.40967370 3295.69731 1.43187469 3295.85114 1.448886305331 310221858 3295.98859 1.45388941 3296.13100 1.44878590 3296.26548 1.434442245331 310221859 3296.37713 1.41569660 3296.47638 1.39403438 3296.61036 1.357749705331 310221860 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310221885 3307.44852 .052207757 3307.53763 .054893808 3307.62673 .0579656375331 310221886 3307.71584 .061479015 3307.78267 .064440253 3307.84950 .0677126235331 310221887 3307.91633 .071326903 3307.98315 .075315635 3308.04999 .0797163435331 310221888 3308.11682 .084565352 3308.18365 .089904123 3308.25048 .0957761745331 310221889 3308.31731 .102227748 3308.38414 .109307833 3308.45097 .1170681625331 310221890 3308.51779 .125561857 3308.58463 .134850029 3308.65145 .1449868185331 310221891 3308.71786 .155966326 3308.78343 .167754012 3308.84900 .1805459305331 310221892 3308.91457 .194406811 3308.98014 .209402947 3309.04570 .2255993405331 310221893 3309.11128 .243072223 3309.17684 .261880069 3309.24241 .2821005355331 310221894 3309.30798 .303799996 3309.37355 .327046898 3309.43912 .3519084715331 310221895 3309.50469 .378450178 3309.57025 .406730674 3309.65768 .4472602765331 310221896 3309.74510 .491122598 3309.83253 .538445412 3309.91995 .5893182145331 310221897 3310.00738 .643832494 3310.09480 .702032032 3310.18055 .7627346415331 310221898 3310.29487 .849226162 3310.40920 .942002364 3310.52352 1.040858245331 310221899 3310.66643 1.17252628 3310.83792 1.34122135 3311.00940 1.519602845331 310221900 3311.27840 1.81230683 3311.63483 2.20339295 3311.80968 2.386314155331 310221901 3311.95763 2.53165356 3312.13920 2.69367326 3312.27438 2.799758435331 310221902 3312.39072 2.87945786 3312.51580 2.95185472 3312.65568 3.015120465331 310221903 3312.80578 3.06084154 3312.94836 3.08209102 3313.01184 3.084470695331 310221904 3313.15925 3.07314161 3313.28783 3.04428260 3313.40888 3.001488305331 310221905 3313.51648 2.95132680 3313.66174 2.86674722 3313.81104 2.761573275331 310221906 3313.99530 2.61006593 3314.19033 2.42923866 3314.43243 2.185710315331 310221907 3314.84330 1.75979196 3315.02673 1.57794249 3315.16430 1.449150535331 310221908 3315.30188 1.32881723 3315.40293 1.24674359 3315.51333 1.163924255331 310221909 3315.62373 1.08890260 3315.70653 1.03812174 3315.78932 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8.26442920 3320.01969 8.84099260 3320.17689 9.278110865331 310221923 3320.34646 9.68440802 3320.48423 9.95720257 3320.64673 10.20568325331 310221924 3320.77391 10.3410133 3320.91875 10.4291211 3321.02297 10.44825055331 310221925 3321.14131 10.4250432 3321.26849 10.3476943 3321.40979 10.20038255331 310221926 3321.52283 10.0385728 3321.66414 9.78571036 3321.83018 9.424899735331 310221927 3322.00240 8.99031365 3322.20111 8.43226806 3322.77075 6.720044335331 310221928 3322.92089 6.29471713 3323.07103 5.89979768 3323.22117 5.543967825331 310221929 3323.33082 5.31318811 3323.43456 5.12006167 3323.53830 4.953321505331 310221930 3323.64204 4.81448796 3323.74578 4.70476354 3323.84952 4.625028165331 310221931 3323.95070 4.57668088 3324.05188 4.55760784 3324.15306 4.567734555331 310221932 3324.25423 4.60669242 3324.35541 4.67384181 3324.45658 4.768244335331 310221933 3324.55776 4.88872318 3324.65893 5.03379835 3324.78346 5.243613495331 310221934 3324.90798 5.48441879 3325.03251 5.75208088 3325.15703 6.041934945331 310221935 3325.35627 6.53928916 3325.78527 7.65359980 3325.98264 8.135491715331 310221936 3326.15323 8.51202720 3326.30266 8.80035976 3326.46205 9.055839595331 310221937 3326.60152 9.22898401 3326.76217 9.36414282 3326.88544 9.418274875331 310221938 3327.00000 9.42862805 3327.12702 9.39451906 3327.25902 9.308482045331 310221939 3327.37856 9.18701691 3327.50807 9.01053039 3327.65750 8.752399045331 310221940 3327.78700 8.48540966 3327.93643 8.13304428 3328.11202 7.667663515331 310221941 3328.33242 7.02355512 3328.64373 6.04718785 3329.01731 4.861353745331 310221942 3329.20410 4.29294227 3329.39088 3.75451512 3329.53720 3.358516205331 310221943 3329.64694 3.07816236 3329.75668 2.81295868 3329.86642 2.563426715331 310221944 3329.97615 2.32987445 3330.07889 2.12573150 3330.18162 1.935566955331 310221945 3330.28436 1.75911928 3330.38709 1.59608454 3330.46415 1.482322685331 310221946 3330.54120 1.37565462 3330.61825 1.27583020 3330.69529 1.182608705331 310221947 3330.77234 1.09569960 3330.86418 .999985208 3330.93033 .9360974325331 310221948 3330.99649 .876225665 3331.06264 .820204097 3331.12880 .7678320765331 310221949 3331.19495 .718943022 3331.26110 .673348546 3331.32725 .6308714665331 310221950 3331.39341 .591332577 3331.45956 .554574746 3331.52572 .5204226605331 310221951 3331.59187 .488727849 3331.65803 .459327652 3331.72418 .4320839535331 310221952 3331.79033 .406851421 3331.85648 .383495761 3331.93431 .3582466195331 310221953 3332.01214 .335222621 3332.08997 .314239875 3332.16780 .2951269255331 310221954 3332.24563 .277724527 3332.32346 .261885338 3332.40129 .2474735505331 310221955 3332.47911 .234366068 3332.55694 .222445477 3332.63477 .2116096375331 310221956 3332.71260 .201764277 3332.79042 .192825340 3332.86825 .1847139725331 310221957 3332.98500 .173952682 3333.10173 .164705507 3333.21848 .1568038735331 310221958 3333.33522 .150115422 3333.45196 .144532307 3333.56870 .1399716735331 310221959 3333.68545 .136371685 3333.80219 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