6.315300+4 1.516080+2 2 0 0 26331 1451 1 0.000000+0 0.000000+0 0 0 0 66331 1451 2 1.000000+0 2.000000+7 7 0 10 66331 1451 3 3.000000+2 0.000000+0 300 0 230 536331 1451 4 63-EU-153 BNL+KAERI EVAL-AUG99 S.Y.Oh and S.F.Mughabghab 6331 1451 5 DIST-APR 0 REV1- 20000411 6331 1451 6 ----ENDF/B-VI MATERIAL 6331 6331 1451 7 -----INCIDENT NEUTRON DATA 6331 1451 8 ------ENDF-6 FORMAT 6331 1451 9 MF=2 has been re-evaluated by S.Y.Oh and S.F.Mughabghab.(Apr99) 6331 1451 10 RESOLVED RESONANCES in MLBW 6331 1451 11 Calculated 2200 m/s cross sections and resonance integral 6331 1451 12 Cross Section (b) Res. Integral (b)* 6331 1451 13 Capture 312 1410 6331 1451 14 Elastic 8.98 6331 1451 15 * Integrated from 0.5 eV to 100 keV with 1/E spectrum 6331 1451 16 Notes: 6331 1451 17 Resolved resonance parameters, as well as the reference 2200m/s6331 1451 18 capture cross section and effective scattering radius of 8.2 6331 1451 19 fm, were adopted from the BNL compilation[Mu84]. 6331 1451 20 Parameters that had not been determined from measurements; 6331 1451 21 radiative width of 93 meV, which was obtained by averaging 6331 1451 22 known 55 widths, was assumed for remaining resonances, 6331 1451 23 L was assigned by applying Bayesian approach, and 6331 1451 24 J was assigned randomly. 6331 1451 25 6331 1451 26 UNRESOLVED RESONANCES in 'all energy-dependent parameters'(LRF=2)6331 1451 27 Average parameters: 6331 1451 28 S (10**4) (eV)* (meV) 6331 1451 29 s-wave 2.37 1.14 93.0 6331 1451 30 p-wave 0.60 0.57 93.0 6331 1451 31 d-wave 5.40 0.38 93.0 6331 1451 32 * Level spacing at the neutron separation energy of target+n. 6331 1451 33 Notes: 6331 1451 34 S0 and were deduced from the fitting of reduced widths of 6331 1451 35 resolved resonances to the Porter-Thomas distribution. 6331 1451 36 S2 was adopted from the BNL compilation[Mu84]. 6331 1451 37 S1 was adjusted to reproduce capture cross sections measured by6331 1451 38 Xia[Xi94], Yu[Yu93], Macklin[Ma87], and Bokhovko[Bo85]. 6331 1451 39 Energy- and J-dependence of level spacing was calculated 6331 1451 40 according to the Gilbert-Cameron's level density formula with6331 1451 41 associated parameters from Mughabghab[Mu98]. 6331 1451 42 6331 1451 43 REFERENCES 6331 1451 44 [Bo85] Bokhovko,M.V. et al., Yad.Konst.,1985(2),44 (1985) 6331 1451 45 [Ma87] Macklin,R.L. and Young,P.G., Nucl.Sci.Eng.,95,189 (1987) 6331 1451 46 [Mu84] Mughabghab,S.F., Neutron Cross Sections, Vol.1, Part B, 6331 1451 47 Academic Press (1984) 6331 1451 48 [Mu98] Mughabghab,S.F. and Dunford,C.L., Proc.Int.Conf. on Phys.6331 1451 49 of Nucl.Sci.Technol.,p.784,Long Island,Oct.5-8,1998. 6331 1451 50 [Xi94] Xia YiJin et al., Proc.Int.Conf. on Nucl. Data for Sci. 6331 1451 51 Technol.,p.251, Gatlinburg, May 9-13, 1994. 6331 1451 52 [Yu93] Yu Weixiang et al., Chinese J.Nucl.Phys.,15,71 (1993) 6331 1451 53 6331 1451 54 END OF DESCRIPTION OF NEW EVALUATION ----------------------------6331 1451 55 63-EU-153 LANL EVAL-APR86 P.G.YOUNG AND E.D.ARTHUR 6331 1451 56 DIST-JAN90 900108 6331 1451 57 ----ENDF/B-VI MATERIAL 6331 6331 1451 58 -----INCIDENT NEUTRON DATA 6331 1451 59 ------ENDF-6 FORMAT 6331 1451 60 6331 1451 61 *****************************************************************6331 1451 62 RESOLVED RESONANCE REGION (FROM ENDF/B-V, S.Mughabghab) 6331 1451 63 *****************************************************************6331 1451 64 6331 1451 65 FILE 2 RESONANCE PARAMETERS 6331 1451 66 -------------------------------- 6331 1451 67 RESONANCE PARAMETERS RECOMMENDED IN BNL-325(1973) (REF.1) WERE 6331 1451 68 ADOPTED IN THIS EVALUATION. SPIN ASSIGNMENT OF ONE RESONANCE AT 6331 1451 69 2.457 EV IS DETERMINED. FOR THE OTHER RESONANCES, SPIN 6331 1451 70 ASSIGNMENTS WERE MADE RANDOMLY IN ORDER TO SATISFY SPIN INDEPEND-6331 1451 71 ENCE OF STRENGTH FUNCTION AND THE 2J+1 LAW OF LEVEL DENSITY. 6331 1451 72 RECENT DATA ON THE MEASUREMENT OF THE THERMAL CROSS SECTION OF EU6331 1451 73 -153 BROUGHT OUT THE PROBLEMS WITH THE ACCURATE DETERMINATION OF 6331 1451 74 THIS CROSS SECTION.(REF2-6).THESE PROBLEMS ARE RELATED TO THE 6331 1451 75 LACK OF VERY ACCURATE KNOWLEDGE OF EU-151 CONTENT IN EU-153 6331 1451 76 SAMPLES AND PREVIOUS INACCURATE VALUE OF HALF LIFE OF EU-154. 6331 1451 77 (16YEARS). THE HALF LIFE OF EU-154 IS PRESENTLY KNOWN AS 8.2-+0.36331 1451 78 YEARS. AFTER CORRECTING THE DATA FOR EU-151 IMPURITY AND HALF6331 1451 79 LIFE OF EU-154,A WEIGHTED AVERAGE VALUE 300 B IS DERIVED 6331 1451 80 FOR THE THERMAL CROSS SECTION OF EU-153. 6331 1451 81 THE POSITIVE ENERGY RESONANCES CONTRIBUTE 58B TO THE THERMAL 6331 1451 82 CROSS-SECTION. THE DIFFERENCE IS ACCOUNTED FOR BY A NEGATIVE 6331 1451 83 ENERGY RESONANCE.WITH A SPIN OF J=2 AS DERIVED FROM THERMAL 6331 1451 84 SPECTRA MEASUREMENT(REF.7) 6331 1451 85 THE THERMAL CROSS SECTIONS ARE 6331 1451 86 CAPTURE = 312.0 B 6331 1451 87 SCATTERING = 9.0 B 6331 1451 88 TOTAL = 321.0 B 6331 1451 89 6331 1451 90 UNRESOLVED RESONANCE PARAMETERS (FROM ENDF/B-V WITH UPPER ENERGY 6331 1451 91 LOWERED FROM 10 TO 1 KEV). 6331 1451 92 6331 1451 93 THE UNRESOLVE ENERGY REGION FROM 97.22EV TO 1 KEV IS REPRESENTED 6331 1451 94 BY AVERAGE RESONANCE PARAMETERS AS RECOMMENDED IN REF.1 6331 1451 95 S(0) =2.50 E-04 6331 1451 96 GAMMA WIDTH=95.8 MV 6331 1451 97 AVERAGE SPACING=1.37 EV 6331 1451 98 S(1) =6.0 E-05 6331 1451 99 6331 1451 100 REFERENCES 6331 1451 101 ----------- 6331 1451 102 1) S.F.MUGHABGHAB AND D.I.GARBER,BNL-325 THIRD EDITION VOL-1,19736331 1451 103 2) M.C.MOXON,D.A.J.ENDACOTT,AND J.E.JOLLY,ANNALS NUCL.ENER.3,399 6331 1451 104 (1976) 6331 1451 105 3) J.I.WIDDER,NUCL. SC. ENG.,60,53(1976) 6331 1451 106 4) J.I. KIM,E.M.GRYNTAKIS,H.J.BORN,RADIOCHIMICA ACTA,22,20,(1975)6331 1451 107 5) V.P. VERTEBNY ET.AL,PROC. 1ST NEUTRON PHYSICS CONF,KIEVE,PART 6331 1451 108 2,239,(1973) 6331 1451 109 6) V.F. RAZBUDEJ,A.F.FEDOROVA,A.V.MURAVITSKIJ,INDC(CCP)-100/U, 6331 1451 110 23(1977) 6331 1451 111 7) W.STOFFL,D.RABENSTEIN,K.SCHRECKENBACH,AND T.VON EGIDY,Z.PHYSIK6331 1451 112 A282,97 (1977) 6331 1451 113 6331 1451 114 *****************************************************************6331 1451 115 ENERGY RANGE ABOVE THE RESONANCE REGION. 6331 1451 116 *****************************************************************6331 1451 117 6331 1451 118 The evaluation above 10 keV is based on a detailed theoretical 6331 1451 119 analysis utilizing the available experimental data. Coupled 6331 1451 120 channel optical model calculations with the ECIS code (Ra70) 6331 1451 121 were used to provide the total, elastic, and inelastic cross 6331 1451 122 sections to the first 3 members of the ground state rotational 6331 1451 123 band, as well as neutron elastic and inelastic angular distri- 6331 1451 124 butions to the rotational levels. The ECIS code was also 6331 1451 125 used to calculate neutron transmission coefficients. Hauser- 6331 1451 126 Feshbach statistical theory calculations were carried out with 6331 1451 127 the GNASH (Ar88, Yo77) and COMNUC (Du70) code systems, including 6331 1451 128 preequilibrium contributions. Systematics were used to obtain 6331 1451 129 parameters for the exciton preequilibrium model, with small 6331 1451 130 adjustments made to improve agreement with available exp. data. 6331 1451 131 The Gilbert-Cameron level density model was used to supplement 6331 1451 132 available experimental information on low-lying levels (Gi65). 6331 1451 133 The Brink-Axel model (Br55,Ax62) was used to calculate gamma-ray 6331 1451 134 transmission coefficients, using gamma-ray strength function 6331 1451 135 results compiled by Mughabghab (Mu84). 6331 1451 136 6331 1451 137 A description of the calculations is given in Mc87. 6331 1451 138 6331 1451 139 **********MF=3 Smooth Cross Sections*****************************6331 1451 140 6331 1451 141 MT=1 Neutron Total Cross Section. 0.01 to 20 MeV, based on 6331 1451 142 coupled-channel optical calculations, which were 6331 1451 143 optimized to the available experimental data (Mc88). 6331 1451 144 MT=2 1.E-11 to 20 MeV, based on subtraction of MT=4,16,17,102, 6331 1451 145 103,104,105,106,107 from MT=1. This corresponds closely 6331 1451 146 to using the results of the coupled-channel optical 6331 1451 147 and Hauser-Feshbach model calculated elastic x/s. 6331 1451 148 MT=4 Sum of MT=51-91 6331 1451 149 MT=16 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 150 MT=17 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 151 MT=51,56 Thres. to 20 MeV, Coupled-channel optical model 6331 1451 152 calculations plus compound-nucleus contributions. 6331 1451 153 MT=52-55,57-60 Threshold to 8.0 MeV, Compound nucleus reaction 6331 1451 154 theory calculations using the COMNUC code (Du70) and 6331 1451 155 including width fluctuation corrections. Transmission 6331 1451 156 coefficients from cc optical model calculations used. 6331 1451 157 MT=91 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 158 MT=102 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 159 MT=103 (n,p) cross section retained from ENDF/B-V. 6331 1451 160 MT=104 (n,d) cross section retained from ENDF/B-V. 6331 1451 161 MT=105 (n,t) cross section retained from ENDF/B-V. 6331 1451 162 MT=106 (n,He3) cross section retained from ENDF/B-V. 6331 1451 163 MT=107 (n,He4) cross section retained from ENDF/B-V. 6331 1451 164 6331 1451 165 **********MF=4 Neutron Angular Distributions******************** 6331 1451 166 6331 1451 167 MT=2 Elastic scattering angular distribution based on ECIS 6331 1451 168 coupled-channel calculations, with a compound elastic 6331 1451 169 component from COMNUC included below 8 MeV. 6331 1451 170 MT=16 (n,2n) distributions assumed isotropic in the laboratory 6331 1451 171 system. 6331 1451 172 MT=17 (n,3n) distributions assumed isotropic in the laboratory 6331 1451 173 system. 6331 1451 174 MT=51,56 Thres. to 20 MeV, Coupled-channel optical model 6331 1451 175 calculations plus compound-nucleus contributions. 6331 1451 176 MT=52-55,57-60 Threshold to 8.0 MeV, Compound nucleus reaction 6331 1451 177 theory calculations using the COMNUC code (Du70) and 6331 1451 178 including width fluctuation corrections. Transmission 6331 1451 179 coefficients from cc optical model calculations used. 6331 1451 180 MT=91 (n,n'continuum) distributions assumed isotropic in the 6331 1451 181 laboratory system. 6331 1451 182 6331 1451 183 ************MF=5 Neutron Energy Distributions******************* 6331 1451 184 6331 1451 185 MT=16 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 186 Tabulated laboratory distributions given. 6331 1451 187 MT=17 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 188 Tabulated laboratory distributions given. 6331 1451 189 MT=91 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 190 Tabulated laboratory distributions given. 6331 1451 191 6331 1451 192 ************MF=12 Photon Multiplicities************************* 6331 1451 193 6331 1451 194 MT=102 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 195 Note that photons from (n,gn') reactions are included 6331 1451 196 in MF=12,MT=102 but not in MF=3,MT=102, which causes 6331 1451 197 the multiplicities at higher energies to become 6331 1451 198 somewhat large. 6331 1451 199 6331 1451 200 ************MF=13 Photon Production Cross Sections************** 6331 1451 201 6331 1451 202 MT=4 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 203 MT=16 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 204 MT=17 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 205 6331 1451 206 ************MF=14 Photon Angular Distributions****************** 6331 1451 207 6331 1451 208 MT=4 Isotropy assumed. 6331 1451 209 MT=16 Isotropy assumed. 6331 1451 210 MT=17 Isotropy assumed. 6331 1451 211 MT=102 Isotropy assumed. 6331 1451 212 6331 1451 213 ************MF=15 Photon Energy Distributions******************* 6331 1451 214 6331 1451 215 MT=4 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 216 MT=16 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 217 MT=17 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 218 MT=102 GNASH Hauser-Feshbach statistical/preequilibrium calc. 6331 1451 219 6331 1451 220 ******************References************************************ 6331 1451 221 6331 1451 222 Ar88 E.D.Arthur, LA-UR-88-382 (1988). 6331 1451 223 Ax62 P.Axel, Phys.Rev.126, 671 (1962). 6331 1451 224 Br55 D.M.Brink, D.Ph. Thesis, Oxford (1955). 6331 1451 225 Du70 C.L.Dunford, AI-AEC-12931 (1970). 6331 1451 226 Mc87 R.Macklin and P.G.Young, Nuc.Sci.Eng.95, 189(1987). 6331 1451 227 Mc88 V.McLane et al., Neutron Cross Sections V2 (Acad.Pr.1988). 6331 1451 228 Mu84 S.F.Mughabghab, Neutron Cross Sections V1 (Acad.Pr.1986). 6331 1451 229 Ra70 J.Raynal,IAEA SMR-9/8 (1970). 6331 1451 230 Yo77 P.G.Young & E.D.Arthur, LA-6947 (1977). 6331 1451 231 6331 1451 232 **************************************************************** 6331 1451 233 6331 1451 234 1 451 287 26331 1451 235 2 151 298 16331 1451 236 3 1 2188 26331 1451 237 3 2 1276 26331 1451 238 3 4 28 16331 1451 239 3 16 14 16331 1451 240 3 17 8 16331 1451 241 3 51 28 16331 1451 242 3 52 17 16331 1451 243 3 53 17 16331 1451 244 3 54 16 16331 1451 245 3 55 15 16331 1451 246 3 56 25 16331 1451 247 3 57 14 16331 1451 248 3 58 14 16331 1451 249 3 59 13 16331 1451 250 3 60 13 16331 1451 251 3 91 22 16331 1451 252 3 102 2326 26331 1451 253 3 103 14 06331 1451 254 3 104 12 06331 1451 255 3 105 10 06331 1451 256 3 106 5 06331 1451 257 3 107 14 06331 1451 258 4 2 58 16331 1451 259 4 16 2 16331 1451 260 4 17 2 16331 1451 261 4 51 54 16331 1451 262 4 52 2 16331 1451 263 4 53 2 16331 1451 264 4 54 2 16331 1451 265 4 55 2 16331 1451 266 4 56 52 16331 1451 267 4 57 2 16331 1451 268 4 58 2 16331 1451 269 4 59 2 16331 1451 270 4 60 2 16331 1451 271 4 91 2 16331 1451 272 5 16 265 16331 1451 273 5 17 66 16331 1451 274 5 91 880 16331 1451 275 12 102 13 16331 1451 276 13 4 28 16331 1451 277 13 16 14 16331 1451 278 13 17 8 16331 1451 279 14 4 1 16331 1451 280 14 16 1 16331 1451 281 14 17 1 16331 1451 282 14 102 1 16331 1451 283 15 4 958 16331 1451 284 15 16 265 16331 1451 285 15 17 66 16331 1451 286 15 102 1112 16331 1451 287 0.000000+0 0.000000+0 0 0 0 06331 1 099999 0.000000+0 0.000000+0 0 0 0 06331 0 0 0 6.315300+4 1.516080+2 0 0 1 06331 2151 1 6.315300+4 1.000000+0 0 0 2 06331 2151 2 1.000000-5 9.780000+1 1 2 0 06331 2151 3 2.500000+0 8.200000-1 0 0 1 06331 2151 4 1.516080+2 0.000000+0 0 0 432 726331 2151 5 -1.240000+0 2.000000+0 8.976000-2 3.060000-3 8.670000-2 0.000000+06331 2151 6 1.727000+0 2.000000+0 9.006840-2 6.840000-5 9.000000-2 0.000000+06331 2151 7 2.456000+0 3.000000+0 9.202857-2 1.028572-3 9.100000-2 0.000000+06331 2151 8 3.294000+0 2.000000+0 9.909200-2 1.092000-3 9.800000-2 0.000000+06331 2151 9 3.944000+0 2.000000+0 9.432000-2 1.320000-3 9.300000-2 0.000000+06331 2151 10 4.750000+0 3.000000+0 9.103172-2 3.171429-5 9.100000-2 0.000000+06331 2151 11 6.160000+0 3.000000+0 1.045571-1 5.571429-4 1.040000-1 0.000000+06331 2151 12 8.850000+0 2.000000+0 1.053200-1 4.320000-3 1.010000-1 0.000000+06331 2151 13 1.161000+1 3.000000+0 9.738571-2 3.385714-3 9.400000-2 0.000000+06331 2151 14 1.245000+1 3.000000+0 8.112000-2 1.200000-4 8.100000-2 0.000000+06331 2151 15 1.322000+1 2.000000+0 9.038401-2 3.840000-4 9.000000-2 0.000000+06331 2151 16 1.526000+1 2.000000+0 1.103240-1 3.240000-4 1.100000-1 0.000000+06331 2151 17 1.633000+1 3.000000+0 9.002057-2 2.057143-5 9.000000-2 0.000000+06331 2151 18 1.673000+1 2.000000+0 1.046320-1 1.632000-3 1.030000-1 0.000000+06331 2151 19 1.760000+1 2.000000+0 9.066001-2 6.600000-4 9.000000-2 0.000000+06331 2151 20 1.801000+1 3.000000+0 9.394286-2 3.942857-3 9.000000-2 0.000000+06331 2151 21 1.873000+1 2.000000+0 1.133600-1 3.360000-3 1.100000-1 0.000000+06331 2151 22 2.002000+1 2.000000+0 1.207600-1 1.176000-2 1.090000-1 0.000000+06331 2151 23 2.254000+1 2.000000+0 9.100000-2 3.000000-3 8.800000-2 0.000000+06331 2151 24 2.366000+1 3.000000+0 8.840001-2 2.400000-3 8.600000-2 0.000000+06331 2151 25 2.619000+1 3.000000+0 9.022286-2 2.228572-4 9.000000-2 0.000000+06331 2151 26 2.863000+1 3.000000+0 7.445714-2 1.457143-3 7.300000-2 0.000000+06331 2151 27 2.990000+1 3.000000+0 9.023143-2 2.314286-4 9.000000-2 0.000000+06331 2151 28 3.122000+1 3.000000+0 1.189714-1 1.971429-3 1.170000-1 0.000000+06331 2151 29 3.245000+1 2.000000+0 9.361600-2 2.760000-4 9.334000-2 0.000000+06331 2151 30 3.453000+1 2.000000+0 9.624001-2 6.240000-3 9.000000-2 0.000000+06331 2151 31 3.662000+1 2.000000+0 1.110400-1 5.040000-3 1.060000-1 0.000000+06331 2151 32 3.776000+1 3.000000+0 9.777143-2 3.771429-3 9.400000-2 0.000000+06331 2151 33 3.830000+1 2.000000+0 8.808000-2 7.080000-3 8.100000-2 0.000000+06331 2151 34 4.115000+1 2.000000+0 7.068000-2 1.680000-3 6.900000-2 0.000000+06331 2151 35 4.215000+1 2.000000+0 8.276000-2 5.760001-3 7.700000-2 0.000000+06331 2151 36 4.316000+1 3.000000+0 9.874286-2 2.742857-3 9.600000-2 0.000000+06331 2151 37 4.482000+1 2.000000+0 9.414400-2 8.040000-4 9.334000-2 0.000000+06331 2151 38 4.579000+1 3.000000+0 1.002000-1 1.200000-3 9.900000-2 0.000000+06331 2151 39 4.711000+1 3.000000+0 9.580000-2 1.800000-3 9.400000-2 0.000000+06331 2151 40 4.793000+1 2.000000+0 1.007800-1 7.440000-3 9.334000-2 0.000000+06331 2151 41 4.930000+1 3.000000+0 9.346000-2 1.200000-4 9.334000-2 0.000000+06331 2151 42 4.950000+1 2.000000+0 9.367600-2 3.360000-4 9.334000-2 0.000000+06331 2151 43 5.000000+1 3.000000+0 9.457143-2 2.571429-3 9.200000-2 0.000000+06331 2151 44 5.074000+1 2.000000+0 1.218800-1 8.880001-3 1.130000-1 0.000000+06331 2151 45 5.231000+1 3.000000+0 1.182857-1 1.028571-2 1.080000-1 0.000000+06331 2151 46 5.307000+1 3.000000+0 1.214000-1 2.400000-3 1.190000-1 0.000000+06331 2151 47 5.429000+1 2.000000+0 1.077400-1 1.440000-2 9.334000-2 0.000000+06331 2151 48 5.519000+1 2.000000+0 9.536000-2 3.600000-4 9.500000-2 0.000000+06331 2151 49 5.557000+1 3.000000+0 9.496857-2 1.628572-3 9.334000-2 0.000000+06331 2151 50 5.897000+1 2.000000+0 8.644000-2 1.440000-3 8.500000-2 0.000000+06331 2151 51 5.972000+1 2.000000+0 1.053600-1 3.360000-3 1.020000-1 0.000000+06331 2151 52 6.092000+1 2.000000+0 1.164000-1 3.840000-2 7.800000-2 0.000000+06331 2151 53 6.255000+1 3.000000+0 1.092857-1 4.285714-3 1.050000-1 0.000000+06331 2151 54 6.370000+1 3.000000+0 9.925715-2 6.257143-3 9.300000-2 0.000000+06331 2151 55 6.409000+1 3.000000+0 1.280000-1 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78.2005469 5.232069+06331 3102 1911 78.2480781 4.956895+0 78.2956094 4.717028+0 78.3431406 4.507906+06331 3102 1912 78.3906719 4.325815+0 78.4382031 4.167731+0 78.4857344 4.031200+06331 3102 1913 78.5320772 3.916938+0 78.5772317 3.822099+0 78.6449633 3.708068+06331 3102 1914 78.7126950 3.625706+0 78.7804266 3.573540+0 78.8481583 3.551126+06331 3102 1915 78.8707355 3.550339+0 78.9209453 3.560919+0 78.9711552 3.589221+06331 3102 1916 79.0213650 3.636495+0 79.0715749 3.704510+0 79.1217847 3.795685+06331 3102 1917 79.1719945 3.913269+0 79.2096519 4.021346+0 79.2473093 4.149035+06331 3102 1918 79.2891508 4.317506+0 79.3226240 4.475751+0 79.3560972 4.658454+06331 3102 1919 79.3895704 4.869855+0 79.4230437 5.115393+0 79.4481486 5.326148+06331 3102 1920 79.4732535 5.563903+0 79.4983584 5.833506+0 79.5234633 6.141158+06331 3102 1921 79.5475640 6.479741+0 79.5696563 6.835279+0 79.5917487 7.243484+06331 3102 1922 79.6064769 7.550614+0 79.6212051 7.890688+0 79.6359333 8.268840+06331 3102 1923 79.6506615 8.691143+0 79.6653898 9.164778+0 79.6801180 9.698210+06331 3102 1924 79.6948462 1.030138+1 79.7058924 1.080645+1 79.7169385 1.136283+16331 3102 1925 79.7279847 1.197679+1 79.7390309 1.265526+1 79.7500770 1.340594+16331 3102 1926 79.7611232 1.423730+1 79.7721693 1.515866+1 79.7825460 1.611520+16331 3102 1927 79.7925880 1.713361+1 79.8026300 1.825215+1 79.8126719 1.948027+16331 3102 1928 79.8227139 2.082796+1 79.8327559 2.230572+1 79.8427978 2.392454+16331 3102 1929 79.8528398 2.569581+1 79.8628818 2.763122+1 79.8729237 2.974269+16331 3102 1930 79.8829657 3.204223+1 79.8930077 3.454179+1 79.9030496 3.725311+16331 3102 1931 79.9130916 4.018753+1 79.9231336 4.335577+1 79.9331755 4.676772+16331 3102 1932 79.9432175 5.043220+1 79.9532595 5.435672+1 79.9633014 5.854717+16331 3102 1933 79.9766907 6.455482+1 79.9900800 7.104582+1 80.0031346 7.783594+16331 3102 1934 80.0161891 8.506955+1 80.0335952 9.536683+1 80.0510013 1.063384+26331 3102 1935 80.0730936 1.210624+2 80.1400400 1.678134+2 80.1601240 1.811764+26331 3102 1936 80.1828857 1.951220+2 80.1989528 2.039081+2 80.2190368 2.133414+26331 3102 1937 80.2324261 2.185261+2 80.2458154 2.227314+2 80.2592047 2.258909+26331 3102 1938 80.2725940 2.279545+2 80.2900000 2.289475+2 80.3020504 2.285037+26331 3102 1939 80.3184522 2.264259+2 80.3315068 2.235908+2 80.3489129 2.182666+26331 3102 1940 80.3623022 2.130549+2 80.3823861 2.036170+2 80.4024700 1.925309+26331 3102 1941 80.4225540 1.801652+2 80.4426379 1.669083+2 80.4961950 1.300834+26331 3102 1942 80.5169484 1.162529+2 80.5316766 1.068540+2 80.5464049 9.789547+16331 3102 1943 80.5611331 8.944308+1 80.5751918 8.189319+1 80.5885811 7.520261+16331 3102 1944 80.6019704 6.901743+1 80.6153597 6.334685+1 80.6254017 5.943314+16331 3102 1945 80.6354436 5.580889+1 80.6454856 5.247122+1 80.6555276 4.941596+16331 3102 1946 80.6655695 4.663797+1 80.6756115 4.413139+1 80.6857438 4.187095+16331 3102 1947 80.6958761 3.987374+1 80.7060084 3.813310+1 80.7161406 3.664263+16331 3102 1948 80.7262729 3.539634+1 80.7364052 3.438885+1 80.7465375 3.361550+16331 3102 1949 80.7566698 3.307244+1 80.7668021 3.275674+1 80.7769343 3.266641+16331 3102 1950 80.7866089 3.278952+1 80.7953681 3.307730+1 80.8041272 3.353312+16331 3102 1951 80.8128863 3.415792+1 80.8216455 3.495309+1 80.8304046 3.592039+16331 3102 1952 80.8391637 3.706188+1 80.8479229 3.837988+1 80.8566820 3.987684+16331 3102 1953 80.8654412 4.155527+1 80.8771200 4.407971+1 80.8865700 4.636539+16331 3102 1954 80.8960200 4.887105+1 80.9086200 5.255706+1 80.9212200 5.663910+16331 3102 1955 80.9338200 6.111579+1 80.9464200 6.598167+1 80.9590200 7.122647+16331 3102 1956 80.9716200 7.683440+1 80.9854800 8.339629+1 81.0006000 9.098027+16331 3102 1957 81.0232800 1.030488+2 81.0384000 1.114369+2 81.0888000 1.399028+26331 3102 1958 81.1114800 1.520869+2 81.1284900 1.605717+2 81.1467600 1.688141+26331 3102 1959 81.1656600 1.761534+2 81.1845600 1.820598+2 81.1971600 1.851059+26331 3102 1960 81.2097600 1.873850+2 81.2236200 1.889659+2 81.2387400 1.895513+26331 3102 1961 81.2526000 1.890319+2 81.2696100 1.870267+2 81.2828400 1.844550+26331 3102 1962 81.3004800 1.797233+2 81.3193800 1.731393+2 81.3332400 1.674282+26331 3102 1963 81.3483600 1.604653+2 81.3685200 1.502106+2 81.3937200 1.362843+26331 3102 1964 81.4567200 9.991084+1 81.4731000 9.084676+1 81.4894800 8.217027+16331 3102 1965 81.5058600 7.396257+1 81.5222400 6.628411+1 81.5348400 6.076387+16331 3102 1966 81.5474400 5.559209+1 81.5600400 5.077379+1 81.5726400 4.630868+16331 3102 1967 81.5852400 4.219181+1 81.5946900 3.932746+1 81.6041400 3.664903+16331 3102 1968 81.6135900 3.415064+1 81.6230400 3.182565+1 81.6343800 2.925439+16331 3102 1969 81.6457200 2.690919+1 81.6570600 2.477618+1 81.6684000 2.284119+16331 3102 1970 81.6797400 2.108996+1 81.6910800 1.950838+1 81.7024200 1.808270+16331 3102 1971 81.7137600 1.679959+1 81.7251000 1.564634+1 81.7364400 1.461092+16331 3102 1972 81.7475438 1.370034+1 81.7581750 1.291507+1 81.7688063 1.220626+16331 3102 1973 81.7794375 1.156648+1 81.7900688 1.098886+1 81.8007000 1.046715+16331 3102 1974 81.8113313 9.995635+0 81.8219625 9.569146+0 81.8361375 9.062536+06331 3102 1975 81.8503125 8.617949+0 81.8644875 8.226944+0 81.8786625 7.882279+06331 3102 1976 81.8928375 7.577769+0 81.9070125 7.308152+0 81.9282750 6.959595+06331 3102 1977 81.9495375 6.667453+0 81.9708000 6.422290+0 81.9955725 6.186359+06331 3102 1978 82.0203450 5.995845+0 82.0451174 5.844548+0 82.0698899 5.728086+06331 3102 1979 82.0946624 5.643496+0 82.1194349 5.588983+0 82.1504004 5.562042+06331 3102 1980 82.1534970 5.561873+0 82.1827105 5.583520+0 82.2101720 5.644252+06331 3102 1981 82.2307681 5.718076+0 82.2513642 5.819125+0 82.2719602 5.951159+06331 3102 1982 82.2925563 6.119210+0 82.3131524 6.329928+0 82.3337485 6.592021+06331 3102 1983 82.3474792 6.800751+0 82.3612100 7.041397+0 82.3749407 7.318820+06331 3102 1984 82.3886714 7.638720+0 82.4000855 7.941729+0 82.4114996 8.283055+06331 3102 1985 82.4229137 8.667636+0 82.4343278 9.101016+0 82.4457419 9.589390+06331 3102 1986 82.4571560 1.013964+1 82.4685701 1.075936+1 82.4799843 1.145692+16331 3102 1987 82.4913984 1.224143+1 82.4999589 1.289279+1 82.5085195 1.360305+16331 3102 1988 82.5170801 1.437690+1 82.5256407 1.521923+1 82.5342013 1.613515+16331 3102 1989 82.5427618 1.712995+1 82.5513224 1.820908+1 82.5598830 1.937812+16331 3102 1990 82.5684436 2.064274+1 82.5768650 2.198561+1 82.5852167 2.341958+16331 3102 1991 82.5935685 2.496060+1 82.6047042 2.719076+1 82.6158400 2.963222+16331 3102 1992 82.6269757 3.229605+1 82.6381114 3.519223+1 82.6492471 3.832938+16331 3102 1993 82.6603828 4.171443+1 82.6715185 4.535227+1 82.6826543 4.924540+16331 3102 1994 82.6937900 5.339361+1 82.7049257 5.779363+1 82.7216293 6.485037+16331 3102 1995 82.7383329 7.242020+1 82.7561500 8.099491+1 82.7761943 9.114013+16331 3102 1996 82.8363271 1.228110+2 82.8585985 1.340398+2 82.8808700 1.443879+26331 3102 1997 82.8975736 1.513314+2 82.9142771 1.573972+2 82.9309807 1.624419+26331 3102 1998 82.9476843 1.663428+2 82.9643879 1.690028+2 82.9810914 1.703550+26331 3102 1999 82.9900000 1.705283+2 83.0033628 1.700694+2 83.0150553 1.689663+26331 3102 2000 83.0295318 1.667154+2 83.0423379 1.639402+2 83.0590414 1.592857+26331 3102 2001 83.0757450 1.535669+2 83.0907783 1.476229+2 83.1097090 1.392427+26331 3102 2002 83.1303100 1.292513+2 83.1637172 1.119116+2 83.1971243 9.428399+16331 3102 2003 83.2188389 8.320304+1 83.2347073 7.546461+1 83.2505757 6.811343+16331 3102 2004 83.2664441 6.120588+1 83.2823125 5.478202+1 83.2928914 5.078097+16331 3102 2005 83.3040271 4.681795+1 83.3151629 4.311133+1 83.3262986 3.965981+16331 3102 2006 83.3374343 3.645967+1 83.3485700 3.350507+1 83.3597058 3.078845+16331 3102 2007 83.3708415 2.830085+1 83.3819772 2.603219+1 83.3900648 2.451563+16331 3102 2008 83.3981523 2.310453+1 83.4062399 2.179445+1 83.4143275 2.058096+16331 3102 2009 83.4224150 1.945961+1 83.4305026 1.842598+1 83.4385902 1.747576+16331 3102 2010 83.4466778 1.660473+1 83.4547653 1.580884+1 83.4628529 1.508416+16331 3102 2011 83.4709405 1.442698+1 83.4790280 1.383376+1 83.4871156 1.330119+16331 3102 2012 83.4952032 1.282616+1 83.5032907 1.240579+1 83.5149020 1.189261+16331 3102 2013 83.5254732 1.151272+1 83.5360443 1.121127+1 83.5466154 1.098427+16331 3102 2014 83.5571866 1.082832+1 83.5677577 1.074058+1 83.5765670 1.071788+16331 3102 2015 83.5889000 1.076089+1 83.5994711 1.086560+1 83.6100423 1.103172+16331 3102 2016 83.6206134 1.125839+1 83.6311845 1.154496+1 83.6417557 1.189087+16331 3102 2017 83.6523268 1.229565+1 83.6628980 1.275881+1 83.6734691 1.327972+16331 3102 2018 83.6875640 1.406277+1 83.7016588 1.494457+1 83.7157537 1.592156+16331 3102 2019 83.7298486 1.698883+1 83.7468799 1.838963+1 83.7668476 2.016777+16331 3102 2020 83.7868153 2.206322+1 83.8520040 2.855579+1 83.8749081 3.071281+16331 3102 2021 83.8972250 3.261977+1 83.9142563 3.389638+1 83.9318749 3.501616+16331 3102 2022 83.9494935 3.590061+1 83.9641756 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