79-Au Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 7.900000+4 1.952750+2 -1 0 0 37900 1451 1 0.0 0.0 0 0 0 67900 1451 2 0.0 0.0 0 0 3 67900 1451 3 0.0 0.0 0 0 154 347900 1451 4 79-AU LLNL Eval-Jul97 D.E.Cullen, et al. 7900 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 7900 1451 6 ---- ENDF/B-VI MATERIAL 7900 7900 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 7900 1451 8 ------ ENDF/B-6 7900 1451 9 =================================================================7900 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 7900 1451 11 ENDF/B-VI format 7900 1451 12 =================================================================7900 1451 13 Contents 7900 1451 14 =================================================================7900 1451 15 MF/MT Description 7900 1451 16 =================================================================7900 1451 17 23/501 Total cross sections 7900 1451 18 23/502 Coherent scattering cross sections 7900 1451 19 23/504 Incoherent scattering cross sections 7900 1451 20 23/515 Pair production cross sections, Electron field 7900 1451 21 23/516 Pair production cross sections, Total 7900 1451 22 23/517 Pair production cross sections, Nuclear field 7900 1451 23 23/522 Total photoionization cross section 7900 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 7900 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 7900 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 7900 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 7900 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 7900 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 7900 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 7900 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 7900 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 7900 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 7900 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 7900 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 7900 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 7900 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 7900 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 7900 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 7900 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 7900 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 7900 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 7900 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 7900 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 7900 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 7900 1451 46 =================================================================7900 1451 47 27/502 Coherent scattering form factors 7900 1451 48 27/504 Incoherent scattering functions 7900 1451 49 27/505 Imaginary anomalous scattering factor 7900 1451 50 27/506 Real anomalous scattering factor 7900 1451 51 =================================================================7900 1451 52 Warning 7900 1451 53 =================================================================7900 1451 54 MF/MT combinations used to define photoionization subshell cross7900 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 7900 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7900 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7900 1451 58 If you are not prepared to use this data you need merely delete 7900 1451 59 it and all of the remaining data will still be consistent and 7900 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 7900 1451 61 However, this will limit the range of problems to which this 7900 1451 62 data can be applied (see: ref. 1 for details). 7900 1451 63 =================================================================7900 1451 64 Definition of new types of data 7900 1451 65 =================================================================7900 1451 66 1) The total photoionization cross section is equal to the sum 7900 1451 67 of the photoionization subshell cross sections. 7900 1451 68 7900 1451 69 For each subshell on the second line of a section the C1 and 7900 1451 70 C2 fields are defined as, 7900 1451 71 7900 1451 72 EPE = The photoionization edge energy (similar to Q-value) 7900 1451 73 EFL = The fluorescence yield (eV/photoionization) 7900 1451 74 7900 1451 75 2) The angular distribution of coherently scattered photons is, 7900 1451 76 7900 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7900 1451 78 7900 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 7900 1451 80 T = The Thomson cross section 7900 1451 81 MU = The cosine of the scattering angle 7900 1451 82 FF(M) = The atomic form factor 7900 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7900 1451 84 F1(E) = The real anomalous scattering factor 7900 1451 85 F2(E) = The imaginary anomalous scattering factor 7900 1451 86 7900 1451 87 F1(E) and F2(E) are isotropic. 7900 1451 88 7900 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 7900 1451 90 using only form factors (the older ENDF/B convention). 7900 1451 91 =================================================================7900 1451 92 Differences between EPDL97 and the data base presented here 7900 1451 93 =================================================================7900 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 7900 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 7900 1451 96 2) Type of Data - EPDL97 - Photon interaction including 7900 1451 97 photoexcitation 7900 1451 98 Here - Photon interaction - ENDF/B-VI has 7900 1451 99 no provision for photoexcitation 7900 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 7900 1451 101 (photons, electrons, positrons) 7900 1451 102 HERE - No secondary energy data 7900 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7900 1451 104 interpolable - the total cross 7900 1451 105 section is not included 7900 1451 106 - Form factors and scattering functions 7900 1451 107 are Log X vs. Log y, except first 7900 1451 108 interval. 7900 1451 109 - Anomalous scattering factors linearly 7900 1451 110 interpolable (they can be negative) 7900 1451 111 Here - Up through ENDF/B-V photon interaction7900 1451 112 cross sections were Log X vs. Log Y. 7900 1451 113 - For the first two Mods. of ENDF/B-VI 7900 1451 114 in order to consistently define the 7900 1451 115 total cross sections at ALL energies 7900 1451 116 all cross sections were linearized. 7900 1451 117 This was NOT a good idea. 7900 1451 118 - Starting with Mod. 3, cross sections 7900 1451 119 are left in Log X vs. Log. Y form so 7900 1451 120 that they are IDENTICAL to what's in 7900 1451 121 EPDL97. 7900 1451 122 The total is defined ONLY at the 7900 1451 123 energies tabulated in any other cross 7900 1451 124 section. 7900 1451 125 WARNING - As a result the total cross section 7900 1451 126 MUST NOT be interpolated to define the7900 1451 127 total between tabulated energies. The 7900 1451 128 ONLY consist way to define the total 7900 1451 129 between tabulated energies is to 7900 1451 130 interpolate all of the partials and 7900 1451 131 add them up. 7900 1451 132 =================================================================7900 1451 133 References 7900 1451 134 =================================================================7900 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7900 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7900 1451 137 graphs of photon interaction cross sections from 10 eV to 100 7900 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7900 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7900 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7900 1451 141 7900 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7900 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7900 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 7900 1451 145 7900 1451 146 These are the primary references to the contents of this library7900 1451 147 and they contain a complete list of references to the sources 7900 1451 148 of data used in this library, methods of evaluation, accuracy 7900 1451 149 of the data, etc. 7900 1451 150 =================================================================7900 1451 151 History 7900 1451 152 =================================================================7900 1451 153 Mod. 1 - October, 1989 - Initial release. 7900 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 7900 1451 155 subshell cross sections. 7900 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 7900 1451 157 =================================================================7900 1451 158 1 451 192 37900 1451 159 23 501 867 37900 1451 160 23 502 373 37900 1451 161 23 504 40 37900 1451 162 23 515 34 37900 1451 163 23 516 54 37900 1451 164 23 517 41 37900 1451 165 23 522 424 37900 1451 166 23 534 19 37900 1451 167 23 535 22 37900 1451 168 23 536 21 37900 1451 169 23 537 22 37900 1451 170 23 538 25 37900 1451 171 23 539 27 37900 1451 172 23 540 29 37900 1451 173 23 541 31 37900 1451 174 23 542 30 37900 1451 175 23 543 27 37900 1451 176 23 544 32 37900 1451 177 23 545 32 37900 1451 178 23 546 45 37900 1451 179 23 547 45 37900 1451 180 23 548 58 37900 1451 181 23 549 58 37900 1451 182 23 550 35 37900 1451 183 23 551 44 37900 1451 184 23 552 42 37900 1451 185 23 553 62 37900 1451 186 23 554 61 37900 1451 187 23 559 42 37900 1451 188 27 502 47 37900 1451 189 27 504 48 37900 1451 190 27 505 152 37900 1451 191 27 506 70 37900 1451 192 7900 1 0 193 7900 0 0 194 7.900000+4 1.952750+2 0 0 0 0790023501 195 0.0 0.0 0 0 1 2591790023501 196 2591 5 790023501 197 1.000000+0 1.128696-3 1.074428+0 1.486767-3 1.135936+0 1.820872-3790023501 198 1.193600+0 2.203549-3 1.247660+0 2.634811-3 1.258900+0 2.735625-3790023501 199 1.298342+0 3.112793-3 1.345855+0 3.634834-3 1.390399+0 4.197618-3790023501 200 1.432160+0 4.797325-3 1.471310+0 5.434627-3 1.544716+0 6.833713-3790023501 201 1.584900+0 7.729612-3 1.608947+0 8.308627-3 1.665149+0 9.825726-3790023501 202 1.714325+0 1.135031-2 1.832656+0 1.593416-2 1.889132+0 1.864897-2790023501 203 1.995300+0 2.485067-2 2.048000+0 2.849617-2 2.139631+0 3.500742-2790023501 204 2.209513+0 4.098876-2 2.257577+0 4.567006-2 2.304138+0 5.077117-2790023501 205 2.394351+0 6.228201-2 2.478926+0 7.538300-2 2.511900+0 8.126617-2790023501 206 2.558215+0 9.016427-2 2.632548+0 1.066516-1 2.702236+0 1.248515-1790023501 207 2.767568+0 1.447510-1 2.828817+0 1.663190-1 2.886238+0 1.895072-1790023501 208 2.940070+0 2.142505-1 2.990537+0 2.404731-1 3.123790+0 3.255951-1790023501 209 3.162300+0 3.551513-1 3.201760+0 3.877985-1 3.269984+0 4.530135-1790023501 210 3.329679+0 5.202888-1 3.381913+0 5.885230-1 3.427618+0 6.566796-1790023501 211 3.467609+0 7.239422-1 3.502601+0 7.898320-1 3.563838+0 9.218048-1790023501 212 3.609766+0 1.037203+0 3.644212+0 1.135699+0 3.695880+0 1.305203+0790023501 213 3.756773+0 1.543289+0 3.802894+0 1.759768+0 3.858238+0 2.070957+0790023501 214 3.904359+0 2.383409+0 3.932031+0 2.600614+0 3.967039+0 2.913440+0790023501 215 3.981100+0 3.054362+0 3.999858+0 3.252184+0 4.030627+0 3.618543+0790023501 216 4.059472+0 4.014082+0 4.086514+0 4.440122+0 4.111867+0 4.897948+0790023501 217 4.135634+0 5.388865+0 4.157917+0 5.914187+0 4.178806+0 6.475221+0790023501 218 4.198390+0 7.073266+0 4.216751+0 7.709615+0 4.233963+0 8.385566+0790023501 219 4.250100+0 9.102435+0 4.265228+0 9.861581+0 4.279411+0 1.066443+1790023501 220 4.292707+0 1.151250+1 4.305172+0 1.240734+1 4.316859+0 1.335054+1790023501 221 4.327814+0 1.434372+1 4.338085+0 1.538865+1 4.347715+0 1.648736+1790023501 222 4.356742+0 1.764238+1 4.373668+0 2.022532+1 4.388478+0 2.310039+1790023501 223 4.401438+0 2.631001+1 4.412777+0 2.988657+1 4.422699+0 3.383527+1790023501 224 4.431380+0 3.812458+1 4.438977+0 4.268811+1 4.445623+0 4.743509+1790023501 225 4.451439+0 5.226421+1 4.456528+0 5.707620+1 4.464878+0 6.631223+1790023501 226 4.476810+0 8.282225+1 4.494138+0 1.146910+2 4.503208+0 1.352289+2790023501 227 4.508737+0 1.489533+2 4.514265+0 1.634779+2 4.525322+0 1.943389+2790023501 228 4.526704+0 1.983089+2 4.536379+0 2.262481+2 4.540180+0 2.370899+2790023501 229 4.547436+0 2.570848+2 4.551236+0 2.669931+2 4.554865+0 2.759610+2790023501 230 4.558493+0 2.843572+2 4.563330+0 2.945079+2 4.567995+0 3.029938+2790023501 231 4.572314+0 3.095649+2 4.575942+0 3.140413+2 4.581297+0 3.187795+2790023501 232 4.587776+0 3.213527+2 4.592678+0 3.209153+2 4.599425+0 3.169253+2790023501 233 4.604799+0 3.109985+2 4.609548+0 3.038307+2 4.614699+0 2.941506+2790023501 234 4.619879+0 2.826065+2 4.625179+0 2.691553+2 4.630124+0 2.553551+2790023501 235 4.633728+0 2.446787+2 4.638482+0 2.299793+2 4.642186+0 2.181718+2790023501 236 4.646947+0 2.027150+2 4.651785+0 1.868981+2 4.656838+0 1.704774+2790023501 237 4.663533+0 1.492471+2 4.668370+0 1.345013+2 4.669752+0 1.304030+2790023501 238 4.674935+0 1.155560+2 4.680118+0 1.016208+2 4.691175+0 7.531082+1790023501 239 4.695429+0 6.649517+1 4.698830+0 5.997579+1 4.702232+0 5.392147+1790023501 240 4.707069+0 4.609504+1 4.712414+0 3.847942+1 4.717979+0 3.163736+1790023501 241 4.722769+0 2.657562+1 4.728982+0 2.105268+1 4.743689+0 1.197673+1790023501 242 4.747881+0 1.024872+1 4.750618+0 9.293308+0 4.752473+0 8.718281+0790023501 243 4.755469+0 7.905541+0 4.758091+0 7.304707+0 4.760683+0 6.805626+0790023501 244 4.763234+0 6.400651+0 4.765745+0 6.080635+0 4.768217+0 5.837426+0790023501 245 4.773083+0 5.551949+0 4.777797+0 5.500142+0 4.786932+0 5.962993+0790023501 246 4.804058+0 8.634779+0 4.819044+0 1.296241+1 4.847975+0 2.906179+1790023501 247 4.884805+0 8.133898+1 4.897724+0 1.158391+2 4.903869+0 1.365539+2790023501 248 4.912651+0 1.717845+2 4.919180+0 2.027009+2 4.926121+0 2.403634+2790023501 249 4.932335+0 2.784691+2 4.936063+0 3.033713+2 4.942123+0 3.471205+2790023501 250 4.948183+0 3.948504+2 4.960302+0 5.013426+2 4.961817+0 5.155746+2790023501 251 4.972422+0 6.196284+2 4.976588+0 6.620807+2 4.984542+0 7.441704+2790023501 252 4.990696+0 8.074318+2 4.996661+0 8.673300+2 5.002816+0 9.264738+2790023501 253 5.008781+0 9.800585+2 5.011900+0 1.005499+3 5.014083+0 1.023687+3790023501 254 5.018983+0 1.059983+3 5.021658+0 1.077965+3 5.028760+0 1.118718+3790023501 255 5.034305+0 1.142855+3 5.040765+0 1.161795+3 5.046558+0 1.170012+3790023501 256 5.050059+0 1.170889+3 5.055459+0 1.166215+3 5.060952+0 1.154103+3790023501 257 5.063059+0 1.147547+3 5.070137+0 1.118162+3 5.074975+0 1.091978+3790023501 258 5.078237+0 1.071775+3 5.083014+0 1.038837+3 5.087653+0 1.003456+3790023501 259 5.093619+0 9.538441+2 5.098921+0 9.066454+2 5.104034+0 8.591045+2790023501 260 5.111798+0 7.845999+2 5.117858+0 7.257445+2 5.124675+0 6.600736+2790023501 261 5.129978+0 6.101160+2 5.142097+0 5.021769+2 5.150240+0 4.361057+2790023501 262 5.154217+0 4.060202+2 5.163307+0 3.429656+2 5.172875+0 2.853255+2790023501 263 5.202913+0 1.579987+2 5.211853+0 1.331757+2 5.220688+0 1.131507+2790023501 264 5.229385+0 9.709238+1 5.237947+0 8.419746+1 5.246374+0 7.379964+1790023501 265 5.254670+0 6.535943+1 5.262836+0 5.844846+1 5.270875+0 5.273175+1790023501 266 5.278788+0 4.795034+1 5.286577+0 4.390561+1 5.301913+0 3.741054+1790023501 267 5.316769+0 3.247740+1 5.331161+0 2.860259+1 5.345103+0 2.547812+1790023501 268 5.358609+0 2.290677+1 5.371694+0 2.075612+1 5.384369+0 1.893343+1790023501 269 5.400000+0 1.697566+1 5.408544+0 1.602000+1 5.431592+0 1.377294+1790023501 270 5.453199+0 1.202243+1 5.473456+0 1.062757+1 5.510251+0 8.563079+0790023501 271 5.558238+0 6.530923+0 5.630548+0 4.385722+0 5.667238+0 3.582338+0790023501 272 5.694756+0 3.071559+0 5.736032+0 2.423604+0 5.777309+0 1.890636+0790023501 273 5.791529+0 1.729611+0 5.805749+0 1.579014+0 5.819969+0 1.438233+0790023501 274 5.834189+0 1.306686+0 5.848409+0 1.183826+0 5.862630+0 1.069136+0790023501 275 5.876850+0 9.621401-1 5.891070+0 8.624056-1 5.905290+0 7.695468-1790023501 276 5.919510+0 6.832227-1 5.933730+0 6.031353-1 5.947950+0 5.290272-1790023501 277 5.962170+0 4.606806-1 5.976390+0 3.979151-1 5.990611+0 3.405825-1790023501 278 6.004831+0 2.885600-1 6.019051+0 2.417384-1 6.033271+0 2.000106-1790023501 279 6.047491+0 1.632641-1 6.061711+0 1.313824-1 6.122836+0 4.760812-2790023501 280 6.176321+0 4.571655-2 6.199720+0 6.733195-2 6.221657+0 1.002000-1790023501 281 6.242223+0 1.409272-1 6.261504+0 1.852125-1 6.279579+0 2.282249-1790023501 282 6.304469+0 2.804638-1 6.309600+0 2.869781-1 6.326840+0 3.099526-1790023501 283 6.342202+0 3.162895-1 6.343017+0 3.162769-1 6.369170+0 2.976109-1790023501 284 6.385835+0 2.697839-1 6.405801+0 2.264442-1 6.414858+0 2.053030-1790023501 285 6.423349+0 1.856759-1 6.431309+0 1.680552-1 6.446234+0 1.389566-1790023501 286 6.459294+0 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1.328876+4790023522 1853 2.570396+4 1.288968+4 2.600160+4 1.250206+4 2.630268+4 1.212633+4790023522 1854 2.660725+4 1.175942+4 2.691535+4 1.140384+4 2.722701+4 1.105922+4790023522 1855 2.786121+4 1.040167+4 2.818383+4 1.008803+4 2.851018+4 9.783779+3790023522 1856 2.884032+4 9.488945+3 2.917427+4 9.201084+3 2.951209+4 8.920111+3790023522 1857 2.985383+4 8.647929+3 3.019952+4 8.383944+3 3.054921+4 8.128215+3790023522 1858 3.090295+4 7.880208+3 3.126079+4 7.639893+3 3.162278+4 7.407078+3790023522 1859 3.198895+4 7.181498+3 3.273407+4 6.751162+3 3.349654+4 6.345725+3790023522 1860 3.388442+4 6.151429+3 3.427678+4 5.963228+3 3.467369+4 5.780925+3790023522 1861 3.589219+4 5.267025+3 3.630781+4 5.106141+3 3.715352+4 4.797630+3790023522 1862 3.758374+4 4.649574+3 3.801894+4 4.506161+3 3.845918+4 4.367118+3790023522 1863 3.935501+4 4.102062+3 4.000000+4 3.924892+3 4.027170+4 3.853443+3790023522 1864 4.073803+4 3.734855+3 4.168694+4 3.508761+3 4.216965+4 3.400582+3790023522 1865 4.315191+4 3.194145+3 4.365158+4 3.095785+3 4.415704+4 3.000521+3790023522 1866 4.466836+4 2.908180+3 4.570882+4 2.730159+3 4.623810+4 2.645365+3790023522 1867 4.677351+4 2.563255+3 4.731513+4 2.483674+3 4.786301+4 2.406620+3790023522 1868 4.841724+4 2.332009+3 5.000000+4 2.135803+3 5.188000+4 1.931105+3790023522 1869 5.248075+4 1.870980+3 5.308844+4 1.812715+3 5.370318+4 1.756286+3790023522 1870 5.432503+4 1.701648+3 5.495409+4 1.648578+3 5.500000+4 1.644795+3790023522 1871 5.559043+4 1.597158+3 5.623413+4 1.547372+3 5.688529+4 1.499169+3790023522 1872 5.754399+4 1.452491+3 5.821032+4 1.407299+3 5.956621+4 1.320703+3790023522 1873 6.237348+4 1.163284+3 6.309573+4 1.126988+3 6.500000+4 1.038451+3790023522 1874 6.531306+4 1.024797+3 6.760830+4 9.318191+2 6.839116+4 9.027018+2790023522 1875 7.079458+4 8.202730+2 7.328245+4 7.454167+2 7.498942+4 6.994142+2790023522 1876 7.585776+4 6.775081+2 7.673615+4 6.562995+2 7.943282+4 5.965868+2790023522 1877 8.035261+4 5.779371+2 8.096000+4 5.660535+2 8.096000+4 2.748034+3790023522 1878 8.128305+4 2.719696+3 8.222426+4 2.639296+3 8.320000+4 2.559388+3790023522 1879 8.413951+4 2.491839+3 8.430000+4 2.480552+3 8.511380+4 2.417346+3790023522 1880 8.650000+4 2.314666+3 8.709636+4 2.275160+3 8.810489+4 2.210476+3790023522 1881 9.015711+4 2.086582+3 9.120108+4 2.024345+3 9.660509+4 1.740029+3790023522 1882 9.772372+4 1.688106+3 1.000000+5 1.588876+3 1.011580+5 1.541963+3790023522 1883 1.023293+5 1.496445+3 1.035142+5 1.452264+3 1.047129+5 1.409389+3790023522 1884 1.071519+5 1.327419+3 1.083927+5 1.288245+3 1.122019+5 1.177553+3790023522 1885 1.148154+5 1.107647+3 1.161449+5 1.074271+3 1.230269+5 9.217684+2790023522 1886 1.273503+5 8.408970+2 1.288250+5 8.155525+2 1.318257+5 7.671313+2790023522 1887 1.364583+5 6.998520+2 1.396368+5 6.583190+2 1.445440+5 6.006066+2790023522 1888 1.462177+5 5.825105+2 1.479108+5 5.649650+2 1.513561+5 5.312322+2790023522 1889 1.584893+5 4.697023+2 1.603245+5 4.554702+2 1.621810+5 4.416684+2790023522 1890 1.659587+5 4.153101+2 1.698244+5 3.905282+2 1.737801+5 3.672303+2790023522 1891 1.757924+5 3.561090+2 1.778279+5 3.453257+2 1.798871+5 3.348691+2790023522 1892 1.800000+5 3.343085+2 1.819701+5 3.247348+2 1.862087+5 3.053872+2790023522 1893 1.905461+5 2.871943+2 1.927525+5 2.785093+2 1.972423+5 2.619205+2790023522 1894 1.995262+5 2.540014+2 2.000000+5 2.524000+2 2.018366+5 2.463228+2790023522 1895 2.089296+5 2.246523+2 2.137962+5 2.112782+2 2.162719+5 2.048932+2790023522 1896 2.187762+5 1.987042+2 2.213095+5 1.927025+2 2.317395+5 1.704686+2790023522 1897 2.344229+5 1.653237+2 2.398833+5 1.555956+2 2.426610+5 1.509487+2790023522 1898 2.454709+5 1.464407+2 2.483133+5 1.420682+2 2.511886+5 1.378264+2790023522 1899 2.540973+5 1.337141+2 2.600160+5 1.258550+2 2.630268+5 1.221027+2790023522 1900 2.660725+5 1.184627+2 2.691535+5 1.149352+2 2.722701+5 1.115131+2790023522 1901 2.754229+5 1.081928+2 2.818383+5 1.018465+2 2.851018+5 9.881482+1790023522 1902 2.884032+5 9.591485+1 2.917427+5 9.310155+1 2.951209+5 9.037085+1790023522 1903 2.985383+5 8.772028+1 3.000000+5 8.661950+1 3.019952+5 8.514767+1790023522 1904 3.054921+5 8.265193+1 3.090295+5 8.022969+1 3.126079+5 7.787851+1790023522 1905 3.162278+5 7.559696+1 3.198895+5 7.338260+1 3.235937+5 7.123335+1790023522 1906 3.273407+5 6.915032+1 3.311311+5 6.712917+1 3.349654+5 6.519756+1790023522 1907 3.388442+5 6.332161+1 3.467369+5 5.973042+1 3.507519+5 5.801297+1790023522 1908 3.548134+5 5.634516+1 3.589219+5 5.472535+1 3.630781+5 5.315212+1790023522 1909 3.672823+5 5.162438+1 3.715352+5 5.014123+1 3.758374+5 4.870127+1790023522 1910 3.801894+5 4.730288+1 3.845918+5 4.594707+1 3.935501+5 4.339512+1790023522 1911 3.981072+5 4.217355+1 4.000000+5 4.168034+1 4.027170+5 4.098652+1790023522 1912 4.073803+5 3.983297+1 4.120975+5 3.871257+1 4.168694+5 3.762369+1790023522 1913 4.265795+5 3.553705+1 4.315191+5 3.453758+1 4.365158+5 3.356668+1790023522 1914 4.415705+5 3.264202+1 4.466836+5 3.174469+1 4.518559+5 3.087258+1790023522 1915 4.570882+5 3.002503+1 4.623810+5 2.920079+1 4.731513+5 2.761959+1790023522 1916 4.786301+5 2.686145+1 4.841724+5 2.612413+1 4.954502+5 2.470970+1790023522 1917 5.011872+5 2.404604+1 5.069907+5 2.340109+1 5.128614+5 2.277501+1790023522 1918 5.188000+5 2.216571+1 5.248075+5 2.157270+1 5.432503+5 1.988734+1790023522 1919 5.559043+5 1.883760+1 5.623413+5 1.833406+1 5.688529+5 1.785481+1790023522 1920 5.754399+5 1.738842+1 5.821032+5 1.693535+1 5.956621+5 1.606436+1790023522 1921 6.025596+5 1.564582+1 6.095369+5 1.523820+1 6.165950+5 1.484120+1790023522 1922 6.237348+5 1.445480+1 6.309573+5 1.407872+1 6.382635+5 1.372130+1790023522 1923 6.456542+5 1.337316+1 6.531306+5 1.303385+1 6.606935+5 1.270406+1790023522 1924 6.683439+5 1.238262+1 6.839117+5 1.176394+1 6.918310+5 1.146667+1790023522 1925 6.998420+5 1.117692+1 7.079458+5 1.090090+1 7.161434+5 1.063171+1790023522 1926 7.244360+5 1.036917+1 7.328245+5 1.011328+1 7.413102+5 9.863698+0790023522 1927 7.498942+5 9.620952+0 7.585776+5 9.384184+0 7.673615+5 9.153423+0790023522 1928 7.762471+5 8.928339+0 7.852356+5 8.708823+0 7.943282+5 8.494709+0790023522 1929 8.035261+5 8.290644+0 8.317638+5 7.707741+0 8.413951+5 7.522815+0790023522 1930 8.511380+5 7.342879+0 8.609938+5 7.167366+0 8.709636+5 6.996086+0790023522 1931 8.912509+5 6.666001+0 9.015711+5 6.506848+0 9.120108+5 6.351495+0790023522 1932 9.225714+5 6.203121+0 9.332543+5 6.058238+0 9.440609+5 5.916947+0790023522 1933 9.549926+5 5.779462+0 9.660509+5 5.645313+0 9.772372+5 5.514279+0790023522 1934 9.885531+5 5.386310+0 1.000000+6 5.261406+0 1.011579+6 5.142807+0790023522 1935 1.022000+6 5.039583+0 1.035142+6 4.913823+0 1.047129+6 4.803252+0790023522 1936 1.059254+6 4.695193+0 1.071519+6 4.589829+0 1.083927+6 4.486884+0790023522 1937 1.096478+6 4.386254+0 1.109175+6 4.287881+0 1.122018+6 4.191804+0790023522 1938 1.135011+6 4.097891+0 1.148154+6 4.006097+0 1.161449+6 3.916361+0790023522 1939 1.174898+6 3.830599+0 1.188502+6 3.746766+0 1.202264+6 3.664815+0790023522 1940 1.216186+6 3.584657+0 1.230269+6 3.506560+0 1.244515+6 3.430164+0790023522 1941 1.273503+6 3.282383+0 1.288250+6 3.210896+0 1.303167+6 3.141006+0790023522 1942 1.318257+6 3.074374+0 1.333521+6 3.009159+0 1.348963+6 2.945372+0790023522 1943 1.364583+6 2.882984+0 1.380384+6 2.821918+0 1.396368+6 2.762354+0790023522 1944 1.412538+6 2.704052+0 1.445440+6 2.591125+0 1.479108+6 2.482949+0790023522 1945 1.513561+6 2.382064+0 1.531087+6 2.333171+0 1.548817+6 2.285314+0790023522 1946 1.566751+6 2.238460+0 1.659587+6 2.018960+0 1.678804+6 1.977720+0790023522 1947 1.698244+6 1.938484+0 1.717908+6 1.900033+0 1.737801+6 1.862388+0790023522 1948 1.757924+6 1.825491+0 1.778279+6 1.789487+0 1.819701+6 1.719593+0790023522 1949 1.840772+6 1.685677+0 1.862087+6 1.652430+0 1.883649+6 1.619845+0790023522 1950 1.905461+6 1.588878+0 1.927525+6 1.558508+0 1.949845+6 1.528759+0790023522 1951 1.972423+6 1.499579+0 2.000000+6 1.465291+0 2.018366+6 1.443146+0790023522 1952 2.065380+6 1.388835+0 2.089296+6 1.362451+0 2.137962+6 1.311186+0790023522 1953 2.162719+6 1.286906+0 2.213095+6 1.239693+0 2.238721+6 1.216766+0790023522 1954 2.264644+6 1.194264+0 2.290868+6 1.172177+0 2.317395+6 1.150584+0790023522 1955 2.344229+6 1.129389+0 2.398833+6 1.088162+0 2.426610+6 1.068117+0790023522 1956 2.483133+6 1.029134+0 2.511886+6 1.010665+0 2.570396+6 9.747190-1790023522 1957 2.600160+6 9.572488-1 2.630268+6 9.400928-1 2.660725+6 9.232440-1790023522 1958 2.691535+6 9.067652-1 2.722701+6 8.905811-1 2.786121+6 8.590738-1790023522 1959 2.818383+6 8.437405-1 2.851018+6 8.286838-1 2.884032+6 8.142959-1790023522 1960 2.951209+6 7.862695-1 3.000000+6 7.669258-1 3.019952+6 7.592423-1790023522 1961 3.054921+6 7.460798-1 3.090295+6 7.332053-1 3.126079+6 7.205530-1790023522 1962 3.162278+6 7.081188-1 3.198895+6 6.958996-1 3.235937+6 6.838930-1790023522 1963 3.311311+6 6.611314-1 3.388442+6 6.391296-1 3.467369+6 6.178854-1790023522 1964 3.507519+6 6.075301-1 3.548134+6 5.973484-1 3.589219+6 5.873789-1790023522 1965 3.630781+6 5.775757-1 3.672823+6 5.679364-1 3.715352+6 5.584579-1790023522 1966 3.758374+6 5.491391-1 3.845918+6 5.314632-1 3.935501+6 5.143583-1790023522 1967 4.027170+6 4.978236-1 4.073803+6 4.897569-1 4.120975+6 4.818211-1790023522 1968 4.168694+6 4.740454-1 4.216965+6 4.663953-1 4.265795+6 4.588688-1790023522 1969 4.315191+6 4.514637-1 4.365158+6 4.441782-1 4.415704+6 4.370114-1790023522 1970 4.518559+6 4.234024-1 4.623810+6 4.102187-1 4.731513+6 3.974606-1790023522 1971 4.786301+6 3.912315-1 4.841724+6 3.851000-1 4.897788+6 3.790901-1790023522 1972 4.954502+6 3.731739-1 5.011872+6 3.673502-1 5.069907+6 3.616174-1790023522 1973 5.128614+6 3.559740-1 5.188000+6 3.504196-1 5.308844+6 3.398571-1790023522 1974 5.432503+6 3.296140-1 5.559043+6 3.196913-1 5.688529+6 3.100678-1790023522 1975 5.754399+6 3.053652-1 5.821032+6 3.007524-1 5.888437+6 2.962092-1790023522 1976 5.956621+6 2.917347-1 6.025596+6 2.873278-1 6.095369+6 2.829875-1790023522 1977 6.165950+6 2.787134-1 6.309573+6 2.705724-1 6.456542+6 2.626700-1790023522 1978 6.531306+6 2.588058-1 6.683439+6 2.512561-1 6.760830+6 2.475643-1790023522 1979 6.839116+6 2.439269-1 6.918310+6 2.403575-1 7.000000+6 2.367722-1790023522 1980 7.079458+6 2.333752-1 7.161434+6 2.299606-1 7.244360+6 2.265958-1790023522 1981 7.328245+6 2.232809-1 7.498942+6 2.169635-1 7.673615+6 2.108254-1790023522 1982 7.762471+6 2.078219-1 8.035261+6 1.990746-1 8.128305+6 1.962415-1790023522 1983 8.317638+6 1.906957-1 8.413951+6 1.879917-1 8.511380+6 1.853261-1790023522 1984 8.609938+6 1.826983-1 8.709636+6 1.801077-1 8.810489+6 1.775539-1790023522 1985 8.912509+6 1.750364-1 9.015711+6 1.725549-1 9.225714+6 1.678132-1790023522 1986 9.440609+6 1.632024-1 9.549926+6 1.609447-1 9.885531+6 1.543646-1790023522 1987 1.000000+7 1.522316-1 1.023293+7 1.480537-1 1.035142+7 1.460157-1790023522 1988 1.047129+7 1.440056-1 1.059254+7 1.420233-1 1.071519+7 1.400684-1790023522 1989 1.083927+7 1.381402-1 1.100000+7 1.357140-1 1.135011+7 1.308028-1790023522 1990 1.174898+7 1.255951-1 1.200000+7 1.225105-1 1.202264+7 1.222393-1790023522 1991 1.230269+7 1.189766-1 1.244515+7 1.173781-1 1.258925+7 1.158012-1790023522 1992 1.273503+7 1.142506-1 1.288250+7 1.127208-1 1.303167+7 1.112115-1790023522 1993 1.333521+7 1.082536-1 1.445440+7 9.869843-2 1.500000+7 9.459353-2790023522 1994 1.531087+7 9.239486-2 1.548817+7 9.118437-2 1.566751+7 8.998988-2790023522 1995 1.584893+7 8.881100-2 1.603245+7 8.765135-2 1.640590+7 8.537722-2790023522 1996 1.698244+7 8.207668-2 1.862087+7 7.406057-2 1.927525+7 7.126087-2790023522 1997 1.949845+7 7.035136-2 1.972423+7 6.945349-2 2.000000+7 6.838678-2790023522 1998 2.018366+7 6.769348-2 2.041738+7 6.683026-2 2.065380+7 6.598018-2790023522 1999 2.089296+7 6.514137-2 2.162719+7 6.268839-2 2.264644+7 5.956126-2790023522 2000 2.454709+7 5.455552-2 2.540973+7 5.254128-2 2.600160+7 5.123996-2790023522 2001 2.630268+7 5.060144-2 2.691535+7 4.934915-2 2.722701+7 4.873471-2790023522 2002 2.786121+7 4.752865-2 2.818383+7 4.693830-2 2.851018+7 4.635531-2790023522 2003 2.884032+7 4.577982-2 2.951209+7 4.465024-2 3.054921+7 4.300807-2790023522 2004 3.311311+7 3.947127-2 3.467369+7 3.758253-2 3.548134+7 3.667236-2790023522 2005 3.589219+7 3.622557-2 3.630781+7 3.578440-2 3.715352+7 3.491837-2790023522 2006 3.801894+7 3.407331-2 3.890451+7 3.324870-2 3.981072+7 3.244557-2790023522 2007 4.027170+7 3.205133-2 4.073803+7 3.166201-2 4.120975+7 3.127743-2790023522 2008 4.265795+7 3.015148-2 4.466836+7 2.871315-2 4.897788+7 2.607784-2790023522 2009 5.188000+7 2.455514-2 5.308844+7 2.397126-2 5.370318+7 2.368455-2790023522 2010 5.432503+7 2.340138-2 5.559043+7 2.284527-2 5.688529+7 2.230239-2790023522 2011 5.821032+7 2.177242-2 5.956621+7 2.125591-2 6.025596+7 2.100228-2790023522 2012 6.095369+7 2.075176-2 6.165950+7 2.050422-2 6.531306+7 1.931015-2790023522 2013 6.918310+7 1.818570-2 7.762471+7 1.615644-2 8.128305+7 1.540966-2790023522 2014 8.317638+7 1.504932-2 8.413951+7 1.487233-2 8.511380+7 1.469747-2790023522 2015 8.609938+7 1.452470-2 8.912509+7 1.401850-2 9.015711+7 1.385371-2790023522 2016 9.225714+7 1.353038-2 9.332543+7 1.337155-2 9.440609+7 1.321464-2790023522 2017 9.549926+7 1.305956-2 1.035142+8 1.202380-2 1.174898+8 1.055969-2790023522 2018 1.548817+8 7.974807-3 1.621810+8 7.610255-3 1.659587+8 7.434277-3790023522 2019 1.678804+8 7.347820-3 1.698244+8 7.262386-3 1.717908+8 7.177960-3790023522 2020 1.778279+8 6.930521-3 1.798871+8 6.849949-3 1.819701+8 6.770394-3790023522 2021 1.840772+8 6.691764-3 1.862087+8 6.614048-3 1.883649+8 6.537248-3790023522 2022 2.000000+8 6.151602-3 2.344229+8 5.236285-3 3.090295+8 3.963305-3790023522 2023 3.235937+8 3.783526-3 3.311311+8 3.696720-3 3.349654+8 3.654067-3790023522 2024 3.388442+8 3.611910-3 3.427678+8 3.570245-3 3.548134+8 3.448110-3790023522 2025 3.589219+8 3.408334-3 3.630781+8 3.369040-3 3.672823+8 3.330201-3790023522 2026 3.715352+8 3.291810-3 3.758374+8 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