JENDL-5, 2021-12-10 0 0 0 0 6.400000+4 1.558990+2 -1 0 6 16400 1451 1 0.000000+0 0.000000+0 0 0 0 66400 1451 2 0.000000+0 1.00000+11 0 0 3 56400 1451 3 0.000000+0 0.000000+0 0 0 172 346400 1451 4 64-Gd- 0 NDS,IAEA Eval-Dec17 D.E.Cullen, et al. 6400 1451 5 NDS-IAEA-225 DIST-FEB18 6400 1451 6 ----JENDL-5 MATERIAL 6400 6400 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 6400 1451 8 ------ ENDF/B-6 6400 1451 9 6400 1451 10 ==================================================================6400 1451 11 This file is imported from ENDF-B/VIII.0 (JENDL5). 6400 1451 12 6400 1451 13 =================================================================6400 1451 14 The Livermore Evaluated Photon Data Library (EPDL97) in the 6400 1451 15 ENDF-6 Format. 6400 1451 16 =================================================================6400 1451 17 Contents 6400 1451 18 =================================================================6400 1451 19 MF/MT Description 6400 1451 20 =================================================================6400 1451 21 23/501 Total cross sections 6400 1451 22 23/502 Coherent scattering cross sections 6400 1451 23 23/504 Incoherent scattering cross sections 6400 1451 24 23/515 Pair production cross sections, Electron field 6400 1451 25 23/516 Pair production cross sections, Total 6400 1451 26 23/517 Pair production cross sections, Nuclear field 6400 1451 27 23/522 Total photoionization cross section 6400 1451 28 23/534 K (1S1/2) Photoionization subshell cross section 6400 1451 29 23/535 L1 (2S1/2) Photoionization subshell cross section 6400 1451 30 23/536 L2 (2P1/2) Photoionization subshell cross section 6400 1451 31 23/537 L3 (2P3/2) Photoionization subshell cross section 6400 1451 32 23/538 M1 (3S1/2) Photoionization subshell cross section 6400 1451 33 23/539 M2 (3P1/2) Photoionization subshell cross section 6400 1451 34 23/540 M3 (3P3/2) Photoionization subshell cross section 6400 1451 35 23/541 M4 (3D3/2) Photoionization subshell cross section 6400 1451 36 23/542 M5 (3D5/2) Photoionization subshell cross section 6400 1451 37 23/543 N1 (4S1/2) Photoionization subshell cross section 6400 1451 38 23/544 N2 (4P1/2) Photoionization subshell cross section 6400 1451 39 23/545 N3 (4P3/2) Photoionization subshell cross section 6400 1451 40 23/546 N4 (4D3/2) Photoionization subshell cross section 6400 1451 41 23/547 N5 (4D5/2) Photoionization subshell cross section 6400 1451 42 23/548 N6 (4F5/2) Photoionization subshell cross section 6400 1451 43 23/549 N7 (4F7/2) Photoionization subshell cross section 6400 1451 44 23/550 O1 (5S1/2) Photoionization subshell cross section 6400 1451 45 23/551 O2 (5P1/2) Photoionization subshell cross section 6400 1451 46 23/552 O3 (5P3/2) Photoionization subshell cross section 6400 1451 47 23/553 O4 (5D3/2) Photoionization subshell cross section 6400 1451 48 23/554 O5 (5D5/2) Photoionization subshell cross section 6400 1451 49 23/559 P1 (6S1/2) Photoionization subshell cross section 6400 1451 50 =================================================================6400 1451 51 27/502 Coherent scattering form factors 6400 1451 52 27/504 Incoherent scattering functions 6400 1451 53 27/505 Imaginary anomalous scattering factor 6400 1451 54 27/506 Real anomalous scattering factor 6400 1451 55 =================================================================6400 1451 56 Warning 6400 1451 57 =================================================================6400 1451 58 MF/MT combinations used to define photoionization subshell cross6400 1451 59 sections (MF=23, MT=534-572) and coherent anomalous scattering 6400 1451 60 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 6400 1451 61 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 6400 1451 62 If you are not prepared to use this data you need merely delete 6400 1451 63 it and all of the remaining data will still be consistent and 6400 1451 64 equivalent to the types of data in earlier versions of ENDF/B. 6400 1451 65 However, this will limit the range of problems to which this 6400 1451 66 data can be applied (see: ref. 1 for details). 6400 1451 67 =================================================================6400 1451 68 Definition of new types of data 6400 1451 69 =================================================================6400 1451 70 1) The total photoionization cross section is equal to the sum 6400 1451 71 of the photoionization subshell cross sections. 6400 1451 72 6400 1451 73 For each subshell on the second line of a section the C1 and 6400 1451 74 C2 fields are defined as, 6400 1451 75 6400 1451 76 EPE = The photoionization edge energy (similar to Q-value) 6400 1451 77 EFL = The fluorescence yield (eV/photoionization) 6400 1451 78 6400 1451 79 2) The angular distribution of coherently scattered photons is, 6400 1451 80 6400 1451 81 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6400 1451 82 6400 1451 83 S(E,MU) = Angular distributions (barns per unit cosine) 6400 1451 84 T = The Thomson cross section 6400 1451 85 MU = The cosine of the scattering angle 6400 1451 86 FF(M) = The atomic form factor 6400 1451 87 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 6400 1451 88 F1(E) = The real anomalous scattering factor 6400 1451 89 F2(E) = The imaginary anomalous scattering factor 6400 1451 90 6400 1451 91 F1(E) and F2(E) are isotropic. 6400 1451 92 6400 1451 93 When F1(E) = F2(E) = 0 this reduces to the result obtained 6400 1451 94 using only form factors (the older ENDF/B convention). 6400 1451 95 =================================================================6400 1451 96 Differences between EPDL97 and the data base presented here 6400 1451 97 =================================================================6400 1451 98 1) Energy range - EPDL97 - 1 eV to 100 GeV 6400 1451 99 Here - 1 eV TO 100 GeV (previously 100 MeV) 6400 1451 100 2) Type of Data - EPDL97 - Photon interaction including 6400 1451 101 photoexcitation 6400 1451 102 Here - Photon interaction - ENDF/B-VI has 6400 1451 103 no provision for photoexcitation 6400 1451 104 3) Secondary E - EPDL97 - Average energy of each secondary 6400 1451 105 (photons, electrons, positrons) 6400 1451 106 HERE - No secondary energy data 6400 1451 107 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 6400 1451 108 interpolable - the total cross 6400 1451 109 section is not included 6400 1451 110 - Form factors and scattering functions 6400 1451 111 are Log X vs. Log y, except first 6400 1451 112 interval. 6400 1451 113 - Anomalous scattering factors linearly 6400 1451 114 interpolable (they can be negative) 6400 1451 115 Here - Up through ENDF/B-V photon interaction6400 1451 116 cross sections were Log X vs. Log Y. 6400 1451 117 - For the first two Mods. of ENDF/B-VI 6400 1451 118 in order to consistently define the 6400 1451 119 total cross sections at ALL energies 6400 1451 120 all cross sections were linearized. 6400 1451 121 This was NOT a good idea. 6400 1451 122 - Starting with Mod. 3, cross sections 6400 1451 123 are left in Log X vs. Log. Y form so 6400 1451 124 that they are IDENTICAL to what's in 6400 1451 125 EPDL97. 6400 1451 126 The total is defined ONLY at the 6400 1451 127 energies tabulated in any other cross 6400 1451 128 section. 6400 1451 129 WARNING - As a result the total cross section 6400 1451 130 MUST NOT be interpolated to define the6400 1451 131 total between tabulated energies. The 6400 1451 132 ONLY consist way to define the total 6400 1451 133 between tabulated energies is to 6400 1451 134 interpolate all of the partials and 6400 1451 135 add them up. 6400 1451 136 =================================================================6400 1451 137 References 6400 1451 138 =================================================================6400 1451 139 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 6400 1451 140 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 6400 1451 141 graphs of photon interaction cross sections from 10 eV to 100 6400 1451 142 GeV derived from the LLNL Evaluated Photon data library (EPDL), 6400 1451 143 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 6400 1451 144 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 6400 1451 145 6400 1451 146 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 6400 1451 147 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 6400 1451 148 Rev. 5, Lawrence Livermore National Laboratory (1997) 6400 1451 149 6400 1451 150 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 6400 1451 151 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 6400 1451 152 IAEA, Vienna, Austria 6400 1451 153 6400 1451 154 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 6400 1451 155 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 6400 1451 156 IAEA, Vienna, Austria 6400 1451 157 6400 1451 158 These are the primary references to the contents of this library6400 1451 159 and they contain a complete list of references to the sources 6400 1451 160 of data used in this library, methods of evaluation, accuracy 6400 1451 161 of the data, etc. 6400 1451 162 =================================================================6400 1451 163 History 6400 1451 164 =================================================================6400 1451 165 1) Oct. 1989 - Initial Release 6400 1451 166 2) Aug. 1990 - Updated Photoelectic (total+shellS) 6400 1451 167 3) July 1997 - Complete re-evaluation 6400 1451 168 4) Sept.2014 - Updated based on recently published data. 6400 1451 169 - Insured Standard C, C++, FORTRAN format 6400 1451 170 5) Nov. 2017 - New Binding Energies (see, ref. 3) 6400 1451 171 - New Photoelectric and Coherent Cross Sections 6400 1451 172 - New Anomalous Scattering Factors (see, ref. 4) 6400 1451 173 - ALL Cross Sections Lin-Lin Interpolable 6400 1451 174 =================================================================6400 1451 175 **************** Program DICTIN (VERSION 2017-1) ****************6400 1451 176 1 451 210 36400 1451 177 23 501 4091 36400 1451 178 23 502 158 36400 1451 179 23 504 132 36400 1451 180 23 515 73 36400 1451 181 23 516 146 36400 1451 182 23 517 96 36400 1451 183 23 522 3701 36400 1451 184 23 534 142 36400 1451 185 23 535 164 36400 1451 186 23 536 179 36400 1451 187 23 537 183 36400 1451 188 23 538 182 36400 1451 189 23 539 193 36400 1451 190 23 540 200 36400 1451 191 23 541 233 36400 1451 192 23 542 231 36400 1451 193 23 543 196 36400 1451 194 23 544 207 36400 1451 195 23 545 212 36400 1451 196 23 546 257 36400 1451 197 23 547 256 36400 1451 198 23 548 310 36400 1451 199 23 549 309 36400 1451 200 23 550 215 36400 1451 201 23 551 241 36400 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5.788772+2 1.097806+5 5.779041+2640023522 1786 1.098744+5 5.765298+2 1.102295+5 5.713310+2 1.103160+5 5.700645+2640023522 1787 1.103957+5 5.688965+2 1.104134+5 5.686511+2 1.104999+5 5.674551+2640023522 1788 1.106938+5 5.647718+2 1.107334+5 5.642244+2 1.108990+5 5.619339+2640023522 1789 1.108997+5 5.619238+2 1.109175+5 5.616779+2 1.109483+5 5.612530+2640023522 1790 1.110211+5 5.602480+2 1.111983+5 5.578021+2 1.112166+5 5.575492+2640023522 1791 1.112480+5 5.571177+2 1.114484+5 5.543606+2 1.115024+5 5.536177+2640023522 1792 1.116293+5 5.518719+2 1.116731+5 5.512699+2 1.118849+5 5.483566+2640023522 1793 1.118972+5 5.481874+2 1.120754+5 5.457360+2 1.121212+5 5.451073+2640023522 1794 1.121280+5 5.450128+2 1.122019+5 5.440565+2 1.122698+5 5.431819+2640023522 1795 1.125112+5 5.400760+2 1.126789+5 5.379180+2 1.129350+5 5.346227+2640023522 1796 1.131615+5 5.317085+2 1.132463+5 5.306179+2 1.132614+5 5.304227+2640023522 1797 1.133379+5 5.294394+2 1.134255+5 5.283126+2 1.135011+5 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4.852782+2 1.171767+5 4.828405+2 1.172984+5 4.814184+2640023522 1811 1.173631+5 4.806635+2 1.174238+5 4.799554+2 1.174263+5 4.799259+2640023522 1812 1.174898+5 4.791848+2 1.175555+5 4.784612+2 1.176176+5 4.777828+2640023522 1813 1.177089+5 4.767832+2 1.178929+5 4.747711+2 1.179981+5 4.736199+2640023522 1814 1.180382+5 4.731819+2 1.183462+5 4.698183+2 1.183936+5 4.693008+2640023522 1815 1.186793+5 4.661809+2 1.186967+5 4.659914+2 1.187220+5 4.657148+2640023522 1816 1.187438+5 4.654774+2 1.187834+5 4.650462+2 1.188502+5 4.643197+2640023522 1817 1.188912+5 4.638738+2 1.190108+5 4.625717+2 1.190804+5 4.618151+2640023522 1818 1.191342+5 4.612293+2 1.192182+5 4.603158+2 1.194862+5 4.574007+2640023522 1819 1.195027+5 4.572209+2 1.196080+5 4.560762+2 1.196440+5 4.556849+2640023522 1820 1.198316+5 4.536446+2 1.198809+5 4.531080+2 1.199208+5 4.527006+2640023522 1821 1.201399+5 4.504624+2 1.203403+5 4.484155+2 1.203406+5 4.484126+2640023522 1822 1.205067+5 4.467165+2 1.205137+5 4.466456+2 1.205378+5 4.464001+2640023522 1823 1.206036+5 4.457304+2 1.206389+5 4.453711+2 1.206513+5 4.452448+2640023522 1824 1.207230+5 4.445149+2 1.208058+5 4.436731+2 1.209229+5 4.424901+2640023522 1825 1.209423+5 4.422944+2 1.211029+5 4.406730+2 1.212649+5 4.390364+2640023522 1826 1.215369+5 4.362901+2 1.218537+5 4.330989+2 1.218563+5 4.330723+2640023522 1827 1.219019+5 4.326133+2 1.219524+5 4.321054+2 1.219946+5 4.316802+2640023522 1828 1.220483+5 4.311390+2 1.221854+5 4.297585+2 1.222438+5 4.291711+2640023522 1829 1.223418+5 4.282426+2 1.223940+5 4.277477+2 1.225432+5 4.263338+2640023522 1830 1.225961+5 4.258333+2 1.226995+5 4.248538+2 1.229566+5 4.224176+2640023522 1831 1.229578+5 4.224065+2 1.230269+5 4.217516+2 1.233843+5 4.183731+2640023522 1832 1.234072+5 4.181571+2 1.235350+5 4.169487+2 1.236748+5 4.156280+2640023522 1833 1.236941+5 4.154464+2 1.237234+5 4.151699+2 1.237856+5 4.145867+2640023522 1834 1.238252+5 4.142152+2 1.240174+5 4.124143+2 1.240820+5 4.118103+2640023522 1835 1.242030+5 4.106785+2 1.243491+5 4.093115+2 1.243814+5 4.090095+2640023522 1836 1.245639+5 4.073018+2 1.245771+5 4.071782+2 1.247488+5 4.056640+2640023522 1837 1.247863+5 4.053333+2 1.249000+5 4.043303+2 1.250799+5 4.027443+2640023522 1838 1.251388+5 4.022260+2 1.253028+5 4.007822+2 1.253427+5 4.004320+2640023522 1839 1.254446+5 3.995368+2 1.255575+5 3.985453+2 1.256220+5 3.979786+2640023522 1840 1.258216+5 3.962254+2 1.258925+5 3.956027+2 1.261775+5 3.930991+2640023522 1841 1.262021+5 3.928833+2 1.262125+5 3.927920+2 1.263340+5 3.917253+2640023522 1842 1.263374+5 3.916958+2 1.265048+5 3.902346+2 1.267349+5 3.882262+2640023522 1843 1.268801+5 3.869587+2 1.270194+5 3.858095+2 1.270357+5 3.856753+2640023522 1844 1.270719+5 3.853772+2 1.270960+5 3.851786+2 1.271083+5 3.850779+2640023522 1845 1.271445+5 3.847800+2 1.273684+5 3.829388+2 1.275665+5 3.813102+2640023522 1846 1.275851+5 3.811570+2 1.276346+5 3.807504+2 1.276634+5 3.805134+2640023522 1847 1.277440+5 3.798510+2 1.277815+5 3.795426+2 1.277852+5 3.795122+2640023522 1848 1.278093+5 3.793146+2 1.282623+5 3.756000+2 1.284648+5 3.739396+2640023522 1849 1.284894+5 3.737379+2 1.285524+5 3.732214+2 1.286635+5 3.723112+2640023522 1850 1.286880+5 3.721113+2 1.287403+5 3.716845+2 1.288250+5 3.709942+2640023522 1851 1.288971+5 3.704069+2 1.290277+5 3.693436+2 1.290624+5 3.690607+2640023522 1852 1.291516+5 3.683343+2 1.296467+5 3.645206+2 1.296786+5 3.642748+2640023522 1853 1.296881+5 3.642019+2 1.299452+5 3.622212+2 1.299978+5 3.618162+2640023522 1854 1.300318+5 3.615549+2 1.301396+5 3.607256+2 1.302433+5 3.599283+2640023522 1855 1.303167+5 3.593635+2 1.303834+5 3.588517+2 1.306668+5 3.566765+2640023522 1856 1.307369+5 3.561389+2 1.308806+5 3.550449+2 1.309936+5 3.541835+2640023522 1857 1.311897+5 3.526905+2 1.313543+5 3.514377+2 1.313910+5 3.511581+2640023522 1858 1.314822+5 3.504995+2 1.316862+5 3.490278+2 1.317030+5 3.489061+2640023522 1859 1.317146+5 3.488227+2 1.318257+5 3.480211+2 1.319901+5 3.468355+2640023522 1860 1.321498+5 3.456836+2 1.321973+5 3.453411+2 1.322057+5 3.452804+2640023522 1861 1.322386+5 3.450433+2 1.323480+5 3.442554+2 1.324464+5 3.435482+2640023522 1862 1.327061+5 3.416838+2 1.328371+5 3.407427+2 1.329976+5 3.395902+2640023522 1863 1.332562+5 3.377341+2 1.333521+5 3.370461+2 1.335974+5 3.352858+2640023522 1864 1.335980+5 3.352817+2 1.337365+5 3.343372+2 1.337621+5 3.341628+2640023522 1865 1.340014+5 3.325316+2 1.340753+5 3.320292+2 1.341030+5 3.318404+2640023522 1866 1.341220+5 3.317110+2 1.343242+5 3.303351+2 1.343991+5 3.298259+2640023522 1867 1.344463+5 3.295049+2 1.346030+5 3.284466+2 1.346744+5 3.279641+2640023522 1868 1.347763+5 3.272772+2 1.347825+5 3.272349+2 1.348963+5 3.264680+2640023522 1869 1.350220+5 3.256206+2 1.350345+5 3.255365+2 1.354312+5 3.228620+2640023522 1870 1.355588+5 3.220019+2 1.355969+5 3.217454+2 1.357071+5 3.210041+2640023522 1871 1.357563+5 3.206734+2 1.357701+5 3.205808+2 1.358000+5 3.203896+2640023522 1872 1.358704+5 3.199399+2 1.359268+5 3.195796+2 1.359805+5 3.192364+2640023522 1873 1.361641+5 3.180633+2 1.366547+5 3.149285+2 1.368034+5 3.139796+2640023522 1874 1.369317+5 3.131607+2 1.369632+5 3.129595+2 1.369896+5 3.127914+2640023522 1875 1.370219+5 3.125848+2 1.371822+5 3.115621+2 1.372972+5 3.108288+2640023522 1876 1.373259+5 3.106464+2 1.373449+5 3.105261+2 1.374291+5 3.099926+2640023522 1877 1.375669+5 3.091202+2 1.375679+5 3.091144+2 1.377382+5 3.080359+2640023522 1878 1.379087+5 3.069568+2 1.379463+5 3.067299+2 1.379764+5 3.065486+2640023522 1879 1.380384+5 3.061748+2 1.381129+5 3.057257+2 1.382582+5 3.048500+2640023522 1880 1.384099+5 3.039360+2 1.384321+5 3.038020+2 1.389424+5 3.007321+2640023522 1881 1.391053+5 2.997516+2 1.392652+5 2.987901+2 1.394749+5 2.975282+2640023522 1882 1.394796+5 2.975005+2 1.395819+5 2.968885+2 1.397594+5 2.958273+2640023522 1883 1.398218+5 2.954541+2 1.399778+5 2.945213+2 1.400125+5 2.943137+2640023522 1884 1.401054+5 2.937836+2 1.401904+5 2.932990+2 1.403727+5 2.922613+2640023522 1885 1.403775+5 2.922335+2 1.404134+5 2.920296+2 1.404278+5 2.919479+2640023522 1886 1.404429+5 2.918616+2 1.404875+5 2.916084+2 1.405711+5 2.911335+2640023522 1887 1.406106+5 2.909092+2 1.408414+5 2.895986+2 1.409717+5 2.888587+2640023522 1888 1.409961+5 2.887199+2 1.410021+5 2.886862+2 1.412538+5 2.872589+2640023522 1889 1.415213+5 2.857422+2 1.418251+5 2.840202+2 1.418725+5 2.837514+2640023522 1890 1.419202+5 2.834808+2 1.420812+5 2.825686+2 1.421388+5 2.822565+2640023522 1891 1.422204+5 2.818149+2 1.422653+5 2.815720+2 1.424012+5 2.808364+2640023522 1892 1.424899+5 2.803562+2 1.425813+5 2.798619+2 1.427179+5 2.791225+2640023522 1893 1.427284+5 2.790655+2 1.428065+5 2.786427+2 1.429021+5 2.781288+2640023522 1894 1.430835+5 2.771555+2 1.431718+5 2.766822+2 1.432786+5 2.761101+2640023522 1895 1.434369+5 2.752633+2 1.435222+5 2.748071+2 1.437590+5 2.735404+2640023522 1896 1.439213+5 2.726725+2 1.441144+5 2.716399+2 1.441903+5 2.712596+2640023522 1897 1.442274+5 2.710739+2 1.442280+5 2.710712+2 1.444790+5 2.698143+2640023522 1898 1.444826+5 2.697962+2 1.448177+5 2.681183+2 1.448846+5 2.677835+2640023522 1899 1.450377+5 2.670171+2 1.451083+5 2.666638+2 1.451665+5 2.663729+2640023522 1900 1.453060+5 2.656750+2 1.454001+5 2.652053+2 1.454418+5 2.649970+2640023522 1901 1.456298+5 2.640587+2 1.456948+5 2.637345+2 1.458201+5 2.631099+2640023522 1902 1.461299+5 2.615659+2 1.461602+5 2.614152+2 1.462163+5 2.611356+2640023522 1903 1.462177+5 2.611285+2 1.462967+5 2.607368+2 1.467899+5 2.582911+2640023522 1904 1.468202+5 2.581409+2 1.470684+5 2.569104+2 1.476473+5 2.540454+2640023522 1905 1.478151+5 2.532145+2 1.479108+5 2.527417+2 1.479618+5 2.524896+2640023522 1906 1.481369+5 2.516255+2 1.481404+5 2.516094+2 1.481993+5 2.513422+2640023522 1907 1.483361+5 2.507214+2 1.483372+5 2.507165+2 1.483656+5 2.505877+2640023522 1908 1.483695+5 2.505698+2 1.484073+5 2.503984+2 1.484439+5 2.502320+2640023522 1909 1.485478+5 2.497630+2 1.487954+5 2.486448+2 1.489233+5 2.480670+2640023522 1910 1.490603+5 2.474495+2 1.496236+5 2.449105+2 1.497312+5 2.444253+2640023522 1911 1.497542+5 2.443217+2 1.498390+5 2.439404+2 1.499461+5 2.434588+2640023522 1912 1.499469+5 2.434553+2 1.502169+5 2.422412+2 1.502295+5 2.421845+2640023522 1913 1.502790+5 2.419618+2 1.502862+5 2.419295+2 1.504007+5 2.414147+2640023522 1914 1.506329+5 2.403704+2 1.512932+5 2.374204+2 1.513561+5 2.371394+2640023522 1915 1.514083+5 2.369067+2 1.515468+5 2.362888+2 1.515741+5 2.361670+2640023522 1916 1.516952+5 2.356268+2 1.518080+5 2.351244+2 1.518811+5 2.347989+2640023522 1917 1.518812+5 2.347987+2 1.519361+5 2.345540+2 1.519453+5 2.345130+2640023522 1918 1.520098+5 2.342258+2 1.522562+5 2.332127+2 1.522963+5 2.330478+2640023522 1919 1.523939+5 2.326464+2 1.530571+5 2.299199+2 1.532051+5 2.293113+2640023522 1920 1.532090+5 2.292953+2 1.533525+5 2.287068+2 1.534184+5 2.284365+2640023522 1921 1.534258+5 2.284061+2 1.534396+5 2.283498+2 1.534882+5 2.281503+2640023522 1922 1.537712+5 2.269901+2 1.538080+5 2.268390+2 1.542921+5 2.248570+2640023522 1923 1.548802+5 2.224491+2 1.548817+5 2.224428+2 1.549663+5 2.220963+2640023522 1924 1.553619+5 2.204900+2 1.554189+5 2.202586+2 1.555518+5 2.197192+2640023522 1925 1.555754+5 2.196235+2 1.557327+5 2.189861+2 1.557364+5 2.189721+2640023522 1926 1.558026+5 2.187230+2 1.558523+5 2.185360+2 1.559160+5 2.182970+2640023522 1927 1.559618+5 2.181249+2 1.563109+5 2.168137+2 1.566751+5 2.154463+2640023522 1928 1.567879+5 2.150229+2 1.569590+5 2.143809+2 1.570325+5 2.141053+2640023522 1929 1.571256+5 2.137565+2 1.573530+5 2.129044+2 1.577766+5 2.113178+2640023522 1930 1.578172+5 2.111659+2 1.578321+5 2.111098+2 1.578647+5 2.109879+2640023522 1931 1.579478+5 2.106769+2 1.584893+5 2.086518+2 1.587176+5 2.077982+2640023522 1932 1.588310+5 2.073741+2 1.588815+5 2.071852+2 1.590800+5 2.064430+2640023522 1933 1.591421+5 2.062109+2 1.591992+5 2.059991+2 1.593056+5 2.056046+2640023522 1934 1.593243+5 2.055399+2 1.594043+5 2.052632+2 1.594539+5 2.050914+2640023522 1935 1.594997+5 2.049331+2 1.595478+5 2.047670+2 1.595908+5 2.046182+2640023522 1936 1.601172+5 2.028006+2 1.603245+5 2.020848+2 1.604255+5 2.017366+2640023522 1937 1.607866+5 2.004925+2 1.609320+5 1.999918+2 1.610182+5 1.996956+2640023522 1938 1.614238+5 1.983012+2 1.614933+5 1.980624+2 1.615432+5 1.978909+2640023522 1939 1.616743+5 1.974402+2 1.617401+5 1.972141+2 1.618313+5 1.969007+2640023522 1940 1.618319+5 1.968987+2 1.620161+5 1.962658+2 1.624875+5 1.946464+2640023522 1941 1.625823+5 1.943207+2 1.626192+5 1.941939+2 1.627296+5 1.938147+2640023522 1942 1.629327+5 1.931610+2 1.631590+5 1.924326+2 1.632150+5 1.922536+2640023522 1943 1.632641+5 1.920969+2 1.634725+5 1.914310+2 1.636776+5 1.907768+2640023522 1944 1.637297+5 1.906107+2 1.639852+5 1.897962+2 1.640589+5 1.895612+2640023522 1945 1.640590+5 1.895610+2 1.642952+5 1.888108+2 1.644584+5 1.882926+2640023522 1946 1.647392+5 1.874012+2 1.647650+5 1.873193+2 1.652549+5 1.857646+2640023522 1947 1.654368+5 1.851871+2 1.656014+5 1.846647+2 1.658934+5 1.837382+2640023522 1948 1.660064+5 1.833796+2 1.660393+5 1.832815+2 1.661118+5 1.830651+2640023522 1949 1.661977+5 1.828085+2 1.662724+5 1.825856+2 1.664371+5 1.820940+2640023522 1950 1.664940+5 1.819239+2 1.665772+5 1.816756+2 1.667916+5 1.810359+2640023522 1951 1.669168+5 1.806621+2 1.670167+5 1.803639+2 1.670169+5 1.803636+2640023522 1952 1.671974+5 1.798287+2 1.673979+5 1.792355+2 1.673979+5 1.792354+2640023522 1953 1.676277+5 1.785579+2 1.676595+5 1.784640+2 1.680920+5 1.771892+2640023522 1954 1.681070+5 1.771448+2 1.682891+5 1.766080+2 1.685329+5 1.758897+2640023522 1955 1.685461+5 1.758505+2 1.686029+5 1.756832+2 1.691217+5 1.741546+2640023522 1956 1.691383+5 1.741055+2 1.691565+5 1.740550+2 1.692292+5 1.738527+2640023522 1957 1.692863+5 1.736939+2 1.694582+5 1.732157+2 1.697671+5 1.723562+2640023522 1958 1.699017+5 1.719819+2 1.701453+5 1.713041+2 1.703722+5 1.706728+2640023522 1959 1.703751+5 1.706648+2 1.703752+5 1.706647+2 1.704135+5 1.705584+2640023522 1960 1.706119+5 1.700080+2 1.706766+5 1.698284+2 1.707164+5 1.697181+2640023522 1961 1.707665+5 1.695802+2 1.709545+5 1.690629+2 1.714461+5 1.677110+2640023522 1962 1.716213+5 1.672293+2 1.717136+5 1.669753+2 1.717609+5 1.668454+2640023522 1963 1.717908+5 1.667631+2 1.718765+5 1.665275+2 1.720049+5 1.661742+2640023522 1964 1.720644+5 1.660108+2 1.721282+5 1.658354+2 1.721687+5 1.657297+2640023522 1965 1.725302+5 1.647883+2 1.727389+5 1.642445+2 1.728849+5 1.638643+2640023522 1966 1.730236+5 1.635030+2 1.730237+5 1.635029+2 1.730611+5 1.634056+2640023522 1967 1.736042+5 1.619949+2 1.737117+5 1.617156+2 1.738450+5 1.613694+2640023522 1968 1.741448+5 1.605909+2 1.741817+5 1.604950+2 1.742592+5 1.602941+2640023522 1969 1.742810+5 1.602379+2 1.743407+5 1.600839+2 1.744710+5 1.597479+2640023522 1970 1.746539+5 1.592765+2 1.749365+5 1.585480+2 1.749791+5 1.584383+2640023522 1971 1.749920+5 1.584067+2 1.750019+5 1.583826+2 1.752585+5 1.577538+2640023522 1972 1.753748+5 1.574687+2 1.753749+5 1.574686+2 1.755277+5 1.570952+2640023522 1973 1.756486+5 1.568000+2 1.757924+5 1.564488+2 1.763512+5 1.550843+2640023522 1974 1.764894+5 1.547469+2 1.765765+5 1.545345+2 1.767185+5 1.541879+2640023522 1975 1.768403+5 1.538908+2 1.769635+5 1.535901+2 1.770922+5 1.532761+2640023522 1976 1.771486+5 1.531384+2 1.772204+5 1.529633+2 1.772645+5 1.528556+2640023522 1977 1.774454+5 1.524142+2 1.776472+5 1.519225+2 1.776947+5 1.518073+2640023522 1978 1.782011+5 1.506371+2 1.783405+5 1.503149+2 1.784448+5 1.500740+2640023522 1979 1.786021+5 1.497105+2 1.786526+5 1.495938+2 1.788721+5 1.490867+2640023522 1980 1.789103+5 1.489984+2 1.789748+5 1.488493+2 1.793251+5 1.480402+2640023522 1981 1.795666+5 1.474824+2 1.795666+5 1.474823+2 1.798871+5 1.467445+2640023522 1982 1.799767+5 1.465382+2 1.802789+5 1.458429+2 1.802878+5 1.458237+2640023522 1983 1.804853+5 1.453982+2 1.805372+5 1.452865+2 1.805607+5 1.452358+2640023522 1984 1.806005+5 1.451503+2 1.806895+5 1.449588+2 1.808833+5 1.445417+2640023522 1985 1.810327+5 1.442221+2 1.814753+5 1.432751+2 1.817947+5 1.425919+2640023522 1986 1.819189+5 1.423261+2 1.819701+5 1.422167+2 1.820381+5 1.420712+2640023522 1987 1.821503+5 1.418312+2 1.822455+5 1.416275+2 1.824946+5 1.410948+2640023522 1988 1.826014+5 1.408665+2 1.827760+5 1.404930+2 1.827760+5 1.404930+2640023522 1989 1.830206+5 1.399711+2 1.835310+5 1.388825+2 1.837728+5 1.383671+2640023522 1990 1.839707+5 1.379454+2 1.840772+5 1.377195+2 1.840772+5 1.377195+2640023522 1991 1.841318+5 1.376039+2 1.844873+5 1.368507+2 1.845689+5 1.366779+2640023522 1992 1.846624+5 1.364797+2 1.848071+5 1.361731+2 1.848173+5 1.361515+2640023522 1993 1.848395+5 1.361045+2 1.851745+5 1.353950+2 1.851785+5 1.353865+2640023522 1994 1.852206+5 1.352973+2 1.852206+5 1.352972+2 1.852259+5 1.352860+2640023522 1995 1.858072+5 1.341535+2 1.860443+5 1.336914+2 1.861564+5 1.334730+2640023522 1996 1.863599+5 1.330765+2 1.864769+5 1.328489+2 1.865816+5 1.326450+2640023522 1997 1.867454+5 1.323261+2 1.868546+5 1.321136+2 1.868589+5 1.321054+2640023522 1998 1.869129+5 1.320002+2 1.877341+5 1.304102+2 1.877404+5 1.303980+2640023522 1999 1.878235+5 1.302369+2 1.880631+5 1.297732+2 1.880940+5 1.297134+2640023522 2000 1.882802+5 1.293531+2 1.883649+5 1.291892+2 1.886023+5 1.287300+2640023522 2001 1.887432+5 1.284573+2 1.888681+5 1.282157+2 1.889490+5 1.280591+2640023522 2002 1.889490+5 1.280591+2 1.890517+5 1.278612+2 1.896420+5 1.267241+2640023522 2003 1.896658+5 1.266782+2 1.897140+5 1.265917+2 1.897991+5 1.264400+2640023522 2004 1.904711+5 1.252419+2 1.904818+5 1.252228+2 1.904925+5 1.252038+2640023522 2005 1.905012+5 1.251882+2 1.907282+5 1.247836+2 1.908082+5 1.246409+2640023522 2006 1.909277+5 1.244280+2 1.911641+5 1.240067+2 1.915083+5 1.233936+2640023522 2007 1.916461+5 1.231481+2 1.916806+5 1.230866+2 1.921985+5 1.221643+2640023522 2008 1.925975+5 1.214537+2 1.927525+5 1.211778+2 1.927525+5 1.211777+2640023522 2009 1.930050+5 1.207297+2 1.932673+5 1.202644+2 1.936379+5 1.196069+2640023522 2010 1.938162+5 1.193095+2 1.940593+5 1.189040+2 1.941358+5 1.187765+2640023522 2011 1.942039+5 1.186629+2 1.943667+5 1.183919+2 1.945640+5 1.180633+2640023522 2012 1.948749+5 1.175458+2 1.950796+5 1.172049+2 1.951599+5 1.170724+2640023522 2013 1.953749+5 1.167175+2 1.955465+5 1.164343+2 1.956168+5 1.163182+2640023522 2014 1.957878+5 1.160361+2 1.960638+5 1.155805+2 1.963553+5 1.150996+2640023522 2015 1.963926+5 1.150382+2 1.964714+5 1.149083+2 1.966754+5 1.145723+2640023522 2016 1.966754+5 1.145722+2 1.967738+5 1.144103+2 1.969586+5 1.141064+2640023522 2017 1.971536+5 1.137858+2 1.971817+5 1.137395+2 1.972423+5 1.136451+2640023522 2018 1.973406+5 1.134921+2 1.977135+5 1.129110+2 1.979443+5 1.125516+2640023522 2019 1.979563+5 1.125328+2 1.980244+5 1.124267+2 1.982814+5 1.120266+2640023522 2020 1.985795+5 1.115624+2 1.986577+5 1.114405+2 1.988272+5 1.111767+2640023522 2021 1.994477+5 1.102117+2 1.996008+5 1.099737+2 1.996339+5 1.099222+2640023522 2022 1.998989+5 1.095107+2 2.000000+5 1.093548+2 2.001014+5 1.091985+2640023522 2023 2.001733+5 1.090875+2 2.001733+5 1.090875+2 2.002184+5 1.090181+2640023522 2024 2.002313+5 1.089983+2 2.003357+5 1.088375+2 2.005337+5 1.085466+2640023522 2025 2.007142+5 1.082815+2 2.007811+5 1.081833+2 2.012060+5 1.075595+2640023522 2026 2.013573+5 1.073374+2 2.014770+5 1.071616+2 2.018366+5 1.066340+2640023522 2027 2.021955+5 1.061073+2 2.022559+5 1.060186+2 2.025140+5 1.056400+2640023522 2028 2.026370+5 1.054598+2 2.027674+5 1.052687+2 2.029627+5 1.049826+2640023522 2029 2.030398+5 1.048698+2 2.031368+5 1.047278+2 2.032850+5 1.045235+2640023522 2030 2.032851+5 1.045235+2 2.035269+5 1.041907+2 2.040591+5 1.034584+2640023522 2031 2.041164+5 1.033794+2 2.041738+5 1.033005+2 2.042134+5 1.032461+2640023522 2032 2.042507+5 1.031950+2 2.047147+5 1.025607+2 2.047623+5 1.024956+2640023522 2033 2.047807+5 1.024704+2 2.048821+5 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