JENDL-5, 2021-12-10 0 0 0 0 8.000000+4 1.988670+2 -1 0 6 18000 1451 1 0.000000+0 0.000000+0 0 0 0 68000 1451 2 0.000000+0 1.00000+11 0 0 3 58000 1451 3 0.000000+0 0.000000+0 0 0 172 348000 1451 4 80-Hg- 0 NDS,IAEA Eval-Dec17 D.E.Cullen, et al. 8000 1451 5 NDS-IAEA-225 DIST-FEB18 8000 1451 6 ----JENDL-5 MATERIAL 8000 8000 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 8000 1451 8 ------ ENDF/B-6 8000 1451 9 8000 1451 10 ==================================================================8000 1451 11 This file is imported from ENDF-B/VIII.0 (JENDL5). 8000 1451 12 8000 1451 13 =================================================================8000 1451 14 The Livermore Evaluated Photon Data Library (EPDL97) in the 8000 1451 15 ENDF-6 Format. 8000 1451 16 =================================================================8000 1451 17 Contents 8000 1451 18 =================================================================8000 1451 19 MF/MT Description 8000 1451 20 =================================================================8000 1451 21 23/501 Total cross sections 8000 1451 22 23/502 Coherent scattering cross sections 8000 1451 23 23/504 Incoherent scattering cross sections 8000 1451 24 23/515 Pair production cross sections, Electron field 8000 1451 25 23/516 Pair production cross sections, Total 8000 1451 26 23/517 Pair production cross sections, Nuclear field 8000 1451 27 23/522 Total photoionization cross section 8000 1451 28 23/534 K (1S1/2) Photoionization subshell cross section 8000 1451 29 23/535 L1 (2S1/2) Photoionization subshell cross section 8000 1451 30 23/536 L2 (2P1/2) Photoionization subshell cross section 8000 1451 31 23/537 L3 (2P3/2) Photoionization subshell cross section 8000 1451 32 23/538 M1 (3S1/2) Photoionization subshell cross section 8000 1451 33 23/539 M2 (3P1/2) Photoionization subshell cross section 8000 1451 34 23/540 M3 (3P3/2) Photoionization subshell cross section 8000 1451 35 23/541 M4 (3D3/2) Photoionization subshell cross section 8000 1451 36 23/542 M5 (3D5/2) Photoionization subshell cross section 8000 1451 37 23/543 N1 (4S1/2) Photoionization subshell cross section 8000 1451 38 23/544 N2 (4P1/2) Photoionization subshell cross section 8000 1451 39 23/545 N3 (4P3/2) Photoionization subshell cross section 8000 1451 40 23/546 N4 (4D3/2) Photoionization subshell cross section 8000 1451 41 23/547 N5 (4D5/2) Photoionization subshell cross section 8000 1451 42 23/548 N6 (4F5/2) Photoionization subshell cross section 8000 1451 43 23/549 N7 (4F7/2) Photoionization subshell cross section 8000 1451 44 23/550 O1 (5S1/2) Photoionization subshell cross section 8000 1451 45 23/551 O2 (5P1/2) Photoionization subshell cross section 8000 1451 46 23/552 O3 (5P3/2) Photoionization subshell cross section 8000 1451 47 23/553 O4 (5D3/2) Photoionization subshell cross section 8000 1451 48 23/554 O5 (5D5/2) Photoionization subshell cross section 8000 1451 49 23/559 P1 (6S1/2) Photoionization subshell cross section 8000 1451 50 =================================================================8000 1451 51 27/502 Coherent scattering form factors 8000 1451 52 27/504 Incoherent scattering functions 8000 1451 53 27/505 Imaginary anomalous scattering factor 8000 1451 54 27/506 Real anomalous scattering factor 8000 1451 55 =================================================================8000 1451 56 Warning 8000 1451 57 =================================================================8000 1451 58 MF/MT combinations used to define photoionization subshell cross8000 1451 59 sections (MF=23, MT=534-572) and coherent anomalous scattering 8000 1451 60 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8000 1451 61 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8000 1451 62 If you are not prepared to use this data you need merely delete 8000 1451 63 it and all of the remaining data will still be consistent and 8000 1451 64 equivalent to the types of data in earlier versions of ENDF/B. 8000 1451 65 However, this will limit the range of problems to which this 8000 1451 66 data can be applied (see: ref. 1 for details). 8000 1451 67 =================================================================8000 1451 68 Definition of new types of data 8000 1451 69 =================================================================8000 1451 70 1) The total photoionization cross section is equal to the sum 8000 1451 71 of the photoionization subshell cross sections. 8000 1451 72 8000 1451 73 For each subshell on the second line of a section the C1 and 8000 1451 74 C2 fields are defined as, 8000 1451 75 8000 1451 76 EPE = The photoionization edge energy (similar to Q-value) 8000 1451 77 EFL = The fluorescence yield (eV/photoionization) 8000 1451 78 8000 1451 79 2) The angular distribution of coherently scattered photons is, 8000 1451 80 8000 1451 81 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8000 1451 82 8000 1451 83 S(E,MU) = Angular distributions (barns per unit cosine) 8000 1451 84 T = The Thomson cross section 8000 1451 85 MU = The cosine of the scattering angle 8000 1451 86 FF(M) = The atomic form factor 8000 1451 87 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8000 1451 88 F1(E) = The real anomalous scattering factor 8000 1451 89 F2(E) = The imaginary anomalous scattering factor 8000 1451 90 8000 1451 91 F1(E) and F2(E) are isotropic. 8000 1451 92 8000 1451 93 When F1(E) = F2(E) = 0 this reduces to the result obtained 8000 1451 94 using only form factors (the older ENDF/B convention). 8000 1451 95 =================================================================8000 1451 96 Differences between EPDL97 and the data base presented here 8000 1451 97 =================================================================8000 1451 98 1) Energy range - EPDL97 - 1 eV to 100 GeV 8000 1451 99 Here - 1 eV TO 100 GeV (previously 100 MeV) 8000 1451 100 2) Type of Data - EPDL97 - Photon interaction including 8000 1451 101 photoexcitation 8000 1451 102 Here - Photon interaction - ENDF/B-VI has 8000 1451 103 no provision for photoexcitation 8000 1451 104 3) Secondary E - EPDL97 - Average energy of each secondary 8000 1451 105 (photons, electrons, positrons) 8000 1451 106 HERE - No secondary energy data 8000 1451 107 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8000 1451 108 interpolable - the total cross 8000 1451 109 section is not included 8000 1451 110 - Form factors and scattering functions 8000 1451 111 are Log X vs. Log y, except first 8000 1451 112 interval. 8000 1451 113 - Anomalous scattering factors linearly 8000 1451 114 interpolable (they can be negative) 8000 1451 115 Here - Up through ENDF/B-V photon interaction8000 1451 116 cross sections were Log X vs. Log Y. 8000 1451 117 - For the first two Mods. of ENDF/B-VI 8000 1451 118 in order to consistently define the 8000 1451 119 total cross sections at ALL energies 8000 1451 120 all cross sections were linearized. 8000 1451 121 This was NOT a good idea. 8000 1451 122 - Starting with Mod. 3, cross sections 8000 1451 123 are left in Log X vs. Log. Y form so 8000 1451 124 that they are IDENTICAL to what's in 8000 1451 125 EPDL97. 8000 1451 126 The total is defined ONLY at the 8000 1451 127 energies tabulated in any other cross 8000 1451 128 section. 8000 1451 129 WARNING - As a result the total cross section 8000 1451 130 MUST NOT be interpolated to define the8000 1451 131 total between tabulated energies. The 8000 1451 132 ONLY consist way to define the total 8000 1451 133 between tabulated energies is to 8000 1451 134 interpolate all of the partials and 8000 1451 135 add them up. 8000 1451 136 =================================================================8000 1451 137 References 8000 1451 138 =================================================================8000 1451 139 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8000 1451 140 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8000 1451 141 graphs of photon interaction cross sections from 10 eV to 100 8000 1451 142 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8000 1451 143 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8000 1451 144 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8000 1451 145 8000 1451 146 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8000 1451 147 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8000 1451 148 Rev. 5, Lawrence Livermore National Laboratory (1997) 8000 1451 149 8000 1451 150 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8000 1451 151 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8000 1451 152 IAEA, Vienna, Austria 8000 1451 153 8000 1451 154 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8000 1451 155 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8000 1451 156 IAEA, Vienna, Austria 8000 1451 157 8000 1451 158 These are the primary references to the contents of this library8000 1451 159 and they contain a complete list of references to the sources 8000 1451 160 of data used in this library, methods of evaluation, accuracy 8000 1451 161 of the data, etc. 8000 1451 162 =================================================================8000 1451 163 History 8000 1451 164 =================================================================8000 1451 165 1) Oct. 1989 - Initial Release 8000 1451 166 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8000 1451 167 3) July 1997 - Complete re-evaluation 8000 1451 168 4) Sept.2014 - Updated based on recently published data. 8000 1451 169 - Insured Standard C, C++, FORTRAN format 8000 1451 170 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8000 1451 171 - New Photoelectric and Coherent Cross Sections 8000 1451 172 - New Anomalous Scattering Factors (see, ref. 4) 8000 1451 173 - ALL Cross Sections Lin-Lin Interpolable 8000 1451 174 =================================================================8000 1451 175 **************** Program DICTIN (VERSION 2017-1) ****************8000 1451 176 1 451 210 38000 1451 177 23 501 3343 38000 1451 178 23 502 130 38000 1451 179 23 504 134 38000 1451 180 23 515 72 38000 1451 181 23 516 145 38000 1451 182 23 517 96 38000 1451 183 23 522 2977 38000 1451 184 23 534 133 38000 1451 185 23 535 154 38000 1451 186 23 536 166 38000 1451 187 23 537 172 38000 1451 188 23 538 172 38000 1451 189 23 539 181 38000 1451 190 23 540 189 38000 1451 191 23 541 217 38000 1451 192 23 542 215 38000 1451 193 23 543 184 38000 1451 194 23 544 190 38000 1451 195 23 545 203 38000 1451 196 23 546 233 38000 1451 197 23 547 233 38000 1451 198 23 548 297 38000 1451 199 23 549 296 38000 1451 200 23 550 204 38000 1451 201 23 551 224 38000 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2.467008+2 2.057003+5 2.459774+2 2.059108+5 2.453192+2800023522 1830 2.062410+5 2.442869+2 2.063479+5 2.439524+2 2.063681+5 2.438894+2800023522 1831 2.065380+5 2.433596+2 2.068068+5 2.425211+2 2.069516+5 2.420697+2800023522 1832 2.071226+5 2.415366+2 2.076357+5 2.399370+2 2.080507+5 2.386468+2800023522 1833 2.082284+5 2.380943+2 2.083744+5 2.376407+2 2.084574+5 2.373826+2800023522 1834 2.084791+5 2.373185+2 2.088167+5 2.363212+2 2.089296+5 2.359880+2800023522 1835 2.092305+5 2.351007+2 2.093950+5 2.346156+2 2.094026+5 2.345934+2800023522 1836 2.095029+5 2.342977+2 2.095318+5 2.342125+2 2.099091+5 2.331009+2800023522 1837 2.099765+5 2.329023+2 2.101358+5 2.324330+2 2.102409+5 2.321234+2800023522 1838 2.103461+5 2.318135+2 2.106295+5 2.309785+2 2.112539+5 2.291441+2800023522 1839 2.113054+5 2.289928+2 2.113489+5 2.288649+2 2.115809+5 2.281832+2800023522 1840 2.118145+5 2.274985+2 2.118435+5 2.274140+2 2.120032+5 2.269790+2800023522 1841 2.121870+5 2.264791+2 2.127029+5 2.250757+2 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2.197832+5 2.063410+2 2.203461+5 2.049496+2 2.213095+5 2.025695+2800023522 1855 2.213984+5 2.023497+2 2.214198+5 2.022970+2 2.215598+5 2.019511+2800023522 1856 2.219006+5 2.011092+2 2.220272+5 2.007964+2 2.220772+5 2.006730+2800023522 1857 2.222416+5 2.002668+2 2.225222+5 1.995779+2 2.225308+5 1.995568+2800023522 1858 2.225594+5 1.994865+2 2.227360+5 1.990762+2 2.231569+5 1.980997+2800023522 1859 2.231628+5 1.980860+2 2.232287+5 1.979331+2 2.233404+5 1.976741+2800023522 1860 2.235502+5 1.971877+2 2.235966+5 1.970802+2 2.238721+5 1.964430+2800023522 1861 2.238721+5 1.964429+2 2.239558+5 1.962499+2 2.243205+5 1.954090+2800023522 1862 2.245964+5 1.947727+2 2.254214+5 1.928703+2 2.254460+5 1.928136+2800023522 1863 2.254787+5 1.927384+2 2.259743+5 1.915960+2 2.261177+5 1.912661+2800023522 1864 2.261388+5 1.912203+2 2.264008+5 1.906515+2 2.264644+5 1.905134+2800023522 1865 2.265773+5 1.902683+2 2.266456+5 1.901201+2 2.271989+5 1.889258+2800023522 1866 2.276575+5 1.879363+2 2.278128+5 1.876011+2 2.278144+5 1.875977+2800023522 1867 2.279998+5 1.871978+2 2.281854+5 1.867976+2 2.284283+5 1.862736+2800023522 1868 2.285110+5 1.860957+2 2.285426+5 1.860277+2 2.286786+5 1.857356+2800023522 1869 2.288465+5 1.853751+2 2.291724+5 1.846765+2 2.295818+5 1.837990+2800023522 1870 2.296987+5 1.835485+2 2.301608+5 1.825581+2 2.303043+5 1.822504+2800023522 1871 2.304734+5 1.818880+2 2.305706+5 1.816799+2 2.307308+5 1.813383+2800023522 1872 2.310154+5 1.807315+2 2.314062+5 1.798985+2 2.315620+5 1.795664+2800023522 1873 2.316093+5 1.794724+2 2.317395+5 1.792138+2 2.324910+5 1.777213+2800023522 1874 2.325433+5 1.776177+2 2.326781+5 1.773505+2 2.327658+5 1.771768+2800023522 1875 2.328996+5 1.769118+2 2.331209+5 1.764739+2 2.332241+5 1.762697+2800023522 1876 2.338661+5 1.749995+2 2.339608+5 1.748122+2 2.340052+5 1.747247+2800023522 1877 2.340606+5 1.746152+2 2.344229+5 1.739046+2 2.346802+5 1.733998+2800023522 1878 2.347357+5 1.732910+2 2.347605+5 1.732424+2 2.349830+5 1.728060+2800023522 1879 2.349867+5 1.727989+2 2.353544+5 1.720782+2 2.354372+5 1.719160+2800023522 1880 2.355484+5 1.716982+2 2.358186+5 1.711686+2 2.358790+5 1.710502+2800023522 1881 2.361051+5 1.706073+2 2.366818+5 1.694798+2 2.368087+5 1.692317+2800023522 1882 2.371374+5 1.685899+2 2.374362+5 1.680522+2 2.374789+5 1.679754+2800023522 1883 2.378715+5 1.672690+2 2.380167+5 1.670083+2 2.380207+5 1.670011+2800023522 1884 2.381875+5 1.667016+2 2.387210+5 1.657440+2 2.390082+5 1.652285+2800023522 1885 2.390782+5 1.651029+2 2.393135+5 1.646807+2 2.394559+5 1.644258+2800023522 1886 2.397485+5 1.639021+2 2.398833+5 1.636608+2 2.401856+5 1.631197+2800023522 1887 2.402959+5 1.629223+2 2.406272+5 1.623335+2 2.409212+5 1.618112+2800023522 1888 2.410057+5 1.616611+2 2.413733+5 1.610085+2 2.416319+5 1.605495+2800023522 1889 2.421922+5 1.595549+2 2.425792+5 1.588680+2 2.426610+5 1.587228+2800023522 1890 2.430105+5 1.581025+2 2.430105+5 1.581024+2 2.431016+5 1.579511+2800023522 1891 2.431105+5 1.579365+2 2.432408+5 1.577202+2 2.437357+5 1.568988+2800023522 1892 2.438081+5 1.567785+2 2.438547+5 1.567015+2 2.438604+5 1.566921+2800023522 1893 2.442816+5 1.559963+2 2.450335+5 1.547542+2 2.450811+5 1.546758+2800023522 1894 2.454709+5 1.540384+2 2.454709+5 1.540384+2 2.456239+5 1.537884+2800023522 1895 2.457802+5 1.535331+2 2.458217+5 1.534653+2 2.462122+5 1.528274+2800023522 1896 2.462321+5 1.527950+2 2.468117+5 1.518487+2 2.468256+5 1.518260+2800023522 1897 2.469957+5 1.515483+2 2.472603+5 1.511164+2 2.476364+5 1.505025+2800023522 1898 2.479562+5 1.499804+2 2.482687+5 1.494703+2 2.483133+5 1.494016+2800023522 1899 2.485794+5 1.489921+2 2.491454+5 1.481210+2 2.491932+5 1.480475+2800023522 1900 2.493767+5 1.477657+2 2.494130+5 1.477099+2 2.494751+5 1.476147+2800023522 1901 2.497468+5 1.471985+2 2.500000+5 1.468108+2 2.500591+5 1.467206+2800023522 1902 2.507034+5 1.457366+2 2.507693+5 1.456360+2 2.511886+5 1.449956+2800023522 1903 2.516736+5 1.442550+2 2.517574+5 1.441270+2 2.519676+5 1.438061+2800023522 1904 2.523662+5 1.431976+2 2.524381+5 1.430879+2 2.525120+5 1.429761+2800023522 1905 2.525607+5 1.429024+2 2.527741+5 1.425796+2 2.529628+5 1.422942+2800023522 1906 2.533099+5 1.417956+2 2.533670+5 1.417137+2 2.535494+5 1.414521+2800023522 1907 2.536000+5 1.413795+2 2.537790+5 1.411228+2 2.541397+5 1.406058+2800023522 1908 2.542556+5 1.404399+2 2.544604+5 1.401468+2 2.545227+5 1.400576+2800023522 1909 2.552601+5 1.390027+2 2.555642+5 1.385678+2 2.557251+5 1.383375+2800023522 1910 2.559981+5 1.379471+2 2.561295+5 1.377592+2 2.562365+5 1.376066+2800023522 1911 2.566104+5 1.370736+2 2.569240+5 1.366267+2 2.570396+5 1.364620+2800023522 1912 2.571430+5 1.363148+2 2.573150+5 1.360853+2 2.578181+5 1.354142+2800023522 1913 2.578732+5 1.353408+2 2.579009+5 1.353040+2 2.582736+5 1.348079+2800023522 1914 2.583615+5 1.346909+2 2.584402+5 1.345862+2 2.594552+5 1.332353+2800023522 1915 2.596128+5 1.330256+2 2.596903+5 1.329226+2 2.600160+5 1.324899+2800023522 1916 2.600696+5 1.324194+2 2.603904+5 1.319977+2 2.615171+5 1.305167+2800023522 1917 2.616571+5 1.303326+2 2.618819+5 1.300372+2 2.621441+5 1.296926+2800023522 1918 2.624934+5 1.292335+2 2.629085+5 1.286882+2 2.629381+5 1.286493+2800023522 1919 2.630268+5 1.285328+2 2.633582+5 1.280990+2 2.634056+5 1.280370+2800023522 1920 2.634671+5 1.279565+2 2.641010+5 1.271269+2 2.643796+5 1.267623+2800023522 1921 2.643839+5 1.267566+2 2.646251+5 1.264416+2 2.653078+5 1.256134+2800023522 1922 2.654988+5 1.253819+2 2.660725+5 1.246864+2 2.664078+5 1.242807+2800023522 1923 2.667042+5 1.239221+2 2.668395+5 1.237585+2 2.672237+5 1.232971+2800023522 1924 2.675409+5 1.229163+2 2.679940+5 1.223725+2 2.684278+5 1.218528+2800023522 1925 2.686335+5 1.216065+2 2.690325+5 1.211286+2 2.690476+5 1.211105+2800023522 1926 2.690627+5 1.210924+2 2.690628+5 1.210923+2 2.691535+5 1.209837+2800023522 1927 2.691535+5 1.209837+2 2.694178+5 1.206674+2 2.695411+5 1.205201+2800023522 1928 2.700264+5 1.199402+2 2.703792+5 1.195189+2 2.709509+5 1.188729+2800023522 1929 2.710458+5 1.187658+2 2.717194+5 1.180049+2 2.718786+5 1.178252+2800023522 1930 2.724171+5 1.172170+2 2.726132+5 1.169959+2 2.726592+5 1.169440+2800023522 1931 2.729567+5 1.166086+2 2.730549+5 1.164986+2 2.732560+5 1.162737+2800023522 1932 2.734482+5 1.160592+2 2.737727+5 1.156970+2 2.737727+5 1.156969+2800023522 1933 2.742240+5 1.151932+2 2.742549+5 1.151588+2 2.745502+5 1.148293+2800023522 1934 2.746313+5 1.147389+2 2.747767+5 1.145766+2 2.753300+5 1.139950+2800023522 1935 2.757180+5 1.135872+2 2.758195+5 1.134804+2 2.763472+5 1.129260+2800023522 1936 2.763894+5 1.128818+2 2.767141+5 1.125416+2 2.767326+5 1.125222+2800023522 1937 2.772622+5 1.119673+2 2.773592+5 1.118656+2 2.773593+5 1.118656+2800023522 1938 2.780738+5 1.111169+2 2.784243+5 1.107498+2 2.787510+5 1.104095+2800023522 1939 2.791161+5 1.100292+2 2.793147+5 1.098228+2 2.795158+5 1.096141+2800023522 1940 2.801340+5 1.089724+2 2.801497+5 1.089561+2 2.803706+5 1.087268+2800023522 1941 2.803970+5 1.086994+2 2.806431+5 1.084441+2 2.815075+5 1.075470+2800023522 1942 2.817274+5 1.073344+2 2.817876+5 1.072763+2 2.818383+5 1.072273+2800023522 1943 2.822410+5 1.068387+2 2.828273+5 1.062729+2 2.828273+5 1.062729+2800023522 1944 2.831914+5 1.059216+2 2.832981+5 1.058186+2 2.833618+5 1.057575+2800023522 1945 2.838197+5 1.053189+2 2.838609+5 1.052796+2 2.846258+5 1.045471+2800023522 1946 2.849096+5 1.042754+2 2.851018+5 1.040916+2 2.851729+5 1.040238+2800023522 1947 2.863354+5 1.029148+2 2.866591+5 1.026060+2 2.867478+5 1.025215+2800023522 1948 2.871155+5 1.021708+2 2.874353+5 1.018660+2 2.874894+5 1.018144+2800023522 1949 2.876327+5 1.016779+2 2.880420+5 1.012903+2 2.884032+5 1.009483+2800023522 1950 2.886091+5 1.007679+2 2.887394+5 1.006537+2 2.888185+5 1.005845+2800023522 1951 2.894152+5 1.000628+2 2.896510+5 9.985661+1 2.898970+5 9.964183+1800023522 1952 2.903291+5 9.926493+1 2.904859+5 9.912831+1 2.912556+5 9.845736+1800023522 1953 2.916280+5 9.813281+1 2.917427+5 9.803280+1 2.918600+5 9.793057+1800023522 1954 2.918881+5 9.790610+1 2.925837+5 9.730051+1 2.928394+5 9.707788+1800023522 1955 2.930050+5 9.693395+1 2.932432+5 9.672702+1 2.936910+5 9.633791+1800023522 1956 2.938496+5 9.620035+1 2.943325+5 9.580221+1 2.947513+5 9.545743+1800023522 1957 2.951209+5 9.515316+1 2.951209+5 9.515314+1 2.953784+5 9.494124+1800023522 1958 2.954396+5 9.489118+1 2.961846+5 9.428251+1 2.962912+5 9.419541+1800023522 1959 2.970918+5 9.354136+1 2.972522+5 9.341038+1 2.974527+5 9.324652+1800023522 1960 2.975924+5 9.313247+1 2.981089+5 9.271076+1 2.985383+5 9.236021+1800023522 1961 2.986126+5 9.229952+1 2.986995+5 9.222868+1 2.988359+5 9.212435+1800023522 1962 2.989682+5 9.202317+1 2.990988+5 9.192325+1 2.995739+5 9.156086+1800023522 1963 2.998299+5 9.136557+1 3.000736+5 9.117967+1 3.003523+5 9.096713+1800023522 1964 3.005049+5 9.085079+1 3.008971+5 9.055183+1 3.013242+5 9.022690+1800023522 1965 3.019952+5 8.972046+1 3.021457+5 8.960688+1 3.021582+5 8.959744+1800023522 1966 3.022586+5 8.952168+1 3.028657+5 8.906432+1 3.029099+5 8.903099+1800023522 1967 3.034109+5 8.865366+1 3.040119+5 8.820108+1 3.043608+5 8.793836+1800023522 1968 3.043813+5 8.792289+1 3.054063+5 8.715108+1 3.054921+5 8.708648+1800023522 1969 3.057205+5 8.691506+1 3.058220+5 8.683888+1 3.059321+5 8.675626+1800023522 1970 3.064175+5 8.639199+1 3.065174+5 8.631710+1 3.067035+5 8.617761+1800023522 1971 3.068833+5 8.604293+1 3.070684+5 8.590427+1 3.073801+5 8.567085+1800023522 1972 3.074492+5 8.562274+1 3.083429+5 8.500055+1 3.091066+5 8.446984+1800023522 1973 3.098550+5 8.394970+1 3.099203+5 8.390434+1 3.099656+5 8.387284+1800023522 1974 3.102376+5 8.368385+1 3.104681+5 8.352363+1 3.106241+5 8.341626+1800023522 1975 3.108136+5 8.328602+1 3.109879+5 8.316652+1 3.110653+5 8.311341+1800023522 1976 3.114712+5 8.283504+1 3.118745+5 8.255850+1 3.129455+5 8.182444+1800023522 1977 3.132340+5 8.162673+1 3.134134+5 8.150378+1 3.135372+5 8.141897+1800023522 1978 3.136077+5 8.137067+1 3.138476+5 8.120636+1 3.140558+5 8.106368+1800023522 1979 3.142210+5 8.095658+1 3.142978+5 8.090673+1 3.150567+5 8.041460+1800023522 1980 3.155459+5 8.009735+1 3.162278+5 7.965634+1 3.170426+5 7.912943+1800023522 1981 3.171856+5 7.903713+1 3.176998+5 7.870522+1 3.183109+5 7.831162+1800023522 1982 3.183717+5 7.827247+1 3.187622+5 7.802099+1 3.190595+5 7.782948+1800023522 1983 3.191575+5 7.776635+1 3.195140+5 7.754970+1 3.198895+5 7.732166+1800023522 1984 3.202624+5 7.709750+1 3.203502+5 7.704474+1 3.207137+5 7.682628+1800023522 1985 3.208404+5 7.675015+1 3.211400+5 7.657014+1 3.215400+5 7.632971+1800023522 1986 3.217363+5 7.621178+1 3.223953+5 7.581581+1 3.227380+5 7.560988+1800023522 1987 3.235937+5 7.509573+1 3.235937+5 7.509570+1 3.240014+5 7.485122+1800023522 1988 3.248101+5 7.436777+1 3.249937+5 7.425800+1 3.261871+5 7.354490+1800023522 1989 3.266349+5 7.327734+1 3.268699+5 7.313688+1 3.269660+5 7.307986+1800023522 1990 3.273407+5 7.287242+1 3.273407+5 7.287240+1 3.276942+5 7.267729+1800023522 1991 3.281841+5 7.240692+1 3.282843+5 7.235163+1 3.286202+5 7.216653+1800023522 1992 3.287949+5 7.207033+1 3.295267+5 7.166715+1 3.301794+5 7.130772+1800023522 1993 3.302555+5 7.126581+1 3.304914+5 7.113592+1 3.306550+5 7.104607+1800023522 1994 3.317530+5 7.044286+1 3.325638+5 6.999744+1 3.331027+5 6.970145+1800023522 1995 3.333125+5 6.958681+1 3.344837+5 6.894694+1 3.349654+5 6.868426+1800023522 1996 3.349654+5 6.868424+1 3.352066+5 6.856228+1 3.353875+5 6.847075+1800023522 1997 3.354441+5 6.844215+1 3.364535+5 6.793293+1 3.365358+5 6.789141+1800023522 1998 3.366569+5 6.783032+1 3.372024+5 6.755571+1 3.375893+5 6.736089+1800023522 1999 3.376121+5 6.734944+1 3.386537+5 6.682527+1 3.388442+5 6.673010+1800023522 2000 3.390271+5 6.663873+1 3.398208+5 6.624220+1 3.408003+5 6.575291+1800023522 2001 3.408003+5 6.575290+1 3.408616+5 6.572366+1 3.410150+5 6.565064+1800023522 2002 3.421056+5 6.513140+1 3.427678+5 6.481617+1 3.427678+5 6.481615+1800023522 2003 3.430126+5 6.469961+1 3.430763+5 6.466939+1 3.438060+5 6.432352+1800023522 2004 3.441077+5 6.418061+1 3.441270+5 6.417147+1 3.447466+5 6.387789+1800023522 2005 3.448397+5 6.383382+1 3.452431+5 6.364272+1 3.454761+5 6.353235+1800023522 2006 3.459891+5 6.328929+1 3.465420+5 6.304244+1 3.472323+5 6.273484+1800023522 2007 3.472362+5 6.273311+1 3.478458+5 6.246152+1 3.479710+5 6.240574+1800023522 2008 3.484877+5 6.217586+1 3.485260+5 6.215885+1 3.485916+5 6.212967+1800023522 2009 3.487386+5 6.206485+1 3.499956+5 6.151053+1 3.507519+5 6.117703+1800023522 2010 3.517945+5 6.071881+1 3.518143+5 6.071011+1 3.520161+5 6.062143+1800023522 2011 3.532848+5 6.006381+1 3.548134+5 5.939202+1 3.548134+5 5.939201+1800023522 2012 3.550668+5 5.928063+1 3.551326+5 5.925171+1 3.551966+5 5.922362+1800023522 2013 3.552604+5 5.919555+1 3.554443+5 5.911993+1 3.557276+5 5.900360+1800023522 2014 3.562359+5 5.879503+1 3.563486+5 5.874907+1 3.565599+5 5.866307+1800023522 2015 3.566441+5 5.862881+1 3.567113+5 5.860149+1 3.576570+5 5.821774+1800023522 2016 3.589219+5 5.770449+1 3.589219+5 5.770447+1 3.589220+5 5.770447+1800023522 2017 3.593742+5 5.752096+1 3.601994+5 5.718618+1 3.602156+5 5.717960+1800023522 2018 3.612864+5 5.674522+1 3.617208+5 5.656899+1 3.620346+5 5.644176+1800023522 2019 3.620789+5 5.642377+1 3.621180+5 5.640804+1 3.623766+5 5.630382+1800023522 2020 3.630781+5 5.604054+1 3.640135+5 5.569036+1 3.645337+5 5.549565+1800023522 2021 3.651742+5 5.525632+1 3.659221+5 5.497683+1 3.662267+5 5.486303+1800023522 2022 3.663585+5 5.481377+1 3.665727+5 5.473393+1 3.672823+5 5.446951+1800023522 2023 3.672823+5 5.446950+1 3.675467+5 5.437097+1 3.679353+5 5.422615+1800023522 2024 3.683410+5 5.407499+1 3.688715+5 5.387773+1 3.689139+5 5.386194+1800023522 2025 3.699347+5 5.348236+1 3.705128+5 5.326737+1 3.709327+5 5.311152+1800023522 2026 3.710237+5 5.307776+1 3.715352+5 5.288943+1 3.717358+5 5.281557+1800023522 2027 3.718027+5 5.279096+1 3.720661+5 5.269397+1 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