83-Bi Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 8.300000+4 2.071850+2 -1 0 0 38300 1451 1 0.0 0.0 0 0 0 68300 1451 2 0.0 0.0 0 0 3 68300 1451 3 0.0 0.0 0 0 156 368300 1451 4 83-BI LLNL Eval-Jul97 D.E.Cullen, et al. 8300 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 8300 1451 6 ---- ENDF/B-VI MATERIAL 8300 8300 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 8300 1451 8 ------ ENDF/B-6 8300 1451 9 =================================================================8300 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 8300 1451 11 ENDF/B-VI format 8300 1451 12 =================================================================8300 1451 13 Contents 8300 1451 14 =================================================================8300 1451 15 MF/MT Description 8300 1451 16 =================================================================8300 1451 17 23/501 Total cross sections 8300 1451 18 23/502 Coherent scattering cross sections 8300 1451 19 23/504 Incoherent scattering cross sections 8300 1451 20 23/515 Pair production cross sections, Electron field 8300 1451 21 23/516 Pair production cross sections, Total 8300 1451 22 23/517 Pair production cross sections, Nuclear field 8300 1451 23 23/522 Total photoionization cross section 8300 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 8300 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 8300 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 8300 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 8300 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 8300 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 8300 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 8300 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 8300 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 8300 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 8300 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 8300 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 8300 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 8300 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 8300 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 8300 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 8300 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 8300 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 8300 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 8300 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 8300 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 8300 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 8300 1451 46 23/560 P2 (6P1/2) Photoionization subshell cross section 8300 1451 47 23/561 P3 (6P3/2) Photoionization subshell cross section 8300 1451 48 =================================================================8300 1451 49 27/502 Coherent scattering form factors 8300 1451 50 27/504 Incoherent scattering functions 8300 1451 51 27/505 Imaginary anomalous scattering factor 8300 1451 52 27/506 Real anomalous scattering factor 8300 1451 53 =================================================================8300 1451 54 Warning 8300 1451 55 =================================================================8300 1451 56 MF/MT combinations used to define photoionization subshell cross8300 1451 57 sections (MF=23, MT=534-572) and coherent anomalous scattering 8300 1451 58 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8300 1451 59 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8300 1451 60 If you are not prepared to use this data you need merely delete 8300 1451 61 it and all of the remaining data will still be consistent and 8300 1451 62 equivalent to the types of data in earlier versions of ENDF/B. 8300 1451 63 However, this will limit the range of problems to which this 8300 1451 64 data can be applied (see: ref. 1 for details). 8300 1451 65 =================================================================8300 1451 66 Definition of new types of data 8300 1451 67 =================================================================8300 1451 68 1) The total photoionization cross section is equal to the sum 8300 1451 69 of the photoionization subshell cross sections. 8300 1451 70 8300 1451 71 For each subshell on the second line of a section the C1 and 8300 1451 72 C2 fields are defined as, 8300 1451 73 8300 1451 74 EPE = The photoionization edge energy (similar to Q-value) 8300 1451 75 EFL = The fluorescence yield (eV/photoionization) 8300 1451 76 8300 1451 77 2) The angular distribution of coherently scattered photons is, 8300 1451 78 8300 1451 79 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8300 1451 80 8300 1451 81 S(E,MU) = Angular distributions (barns per unit cosine) 8300 1451 82 T = The Thomson cross section 8300 1451 83 MU = The cosine of the scattering angle 8300 1451 84 FF(M) = The atomic form factor 8300 1451 85 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8300 1451 86 F1(E) = The real anomalous scattering factor 8300 1451 87 F2(E) = The imaginary anomalous scattering factor 8300 1451 88 8300 1451 89 F1(E) and F2(E) are isotropic. 8300 1451 90 8300 1451 91 When F1(E) = F2(E) = 0 this reduces to the result obtained 8300 1451 92 using only form factors (the older ENDF/B convention). 8300 1451 93 =================================================================8300 1451 94 Differences between EPDL97 and the data base presented here 8300 1451 95 =================================================================8300 1451 96 1) Energy range - EPDL97 - 1 eV to 100 GeV 8300 1451 97 Here - 1 eV TO 100 GeV (previously 100 MeV) 8300 1451 98 2) Type of Data - EPDL97 - Photon interaction including 8300 1451 99 photoexcitation 8300 1451 100 Here - Photon interaction - ENDF/B-VI has 8300 1451 101 no provision for photoexcitation 8300 1451 102 3) Secondary E - EPDL97 - Average energy of each secondary 8300 1451 103 (photons, electrons, positrons) 8300 1451 104 HERE - No secondary energy data 8300 1451 105 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8300 1451 106 interpolable - the total cross 8300 1451 107 section is not included 8300 1451 108 - Form factors and scattering functions 8300 1451 109 are Log X vs. Log y, except first 8300 1451 110 interval. 8300 1451 111 - Anomalous scattering factors linearly 8300 1451 112 interpolable (they can be negative) 8300 1451 113 Here - Up through ENDF/B-V photon interaction8300 1451 114 cross sections were Log X vs. Log Y. 8300 1451 115 - For the first two Mods. of ENDF/B-VI 8300 1451 116 in order to consistently define the 8300 1451 117 total cross sections at ALL energies 8300 1451 118 all cross sections were linearized. 8300 1451 119 This was NOT a good idea. 8300 1451 120 - Starting with Mod. 3, cross sections 8300 1451 121 are left in Log X vs. Log. Y form so 8300 1451 122 that they are IDENTICAL to what's in 8300 1451 123 EPDL97. 8300 1451 124 The total is defined ONLY at the 8300 1451 125 energies tabulated in any other cross 8300 1451 126 section. 8300 1451 127 WARNING - As a result the total cross section 8300 1451 128 MUST NOT be interpolated to define the8300 1451 129 total between tabulated energies. The 8300 1451 130 ONLY consist way to define the total 8300 1451 131 between tabulated energies is to 8300 1451 132 interpolate all of the partials and 8300 1451 133 add them up. 8300 1451 134 =================================================================8300 1451 135 References 8300 1451 136 =================================================================8300 1451 137 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8300 1451 138 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8300 1451 139 graphs of photon interaction cross sections from 10 eV to 100 8300 1451 140 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8300 1451 141 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8300 1451 142 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8300 1451 143 8300 1451 144 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8300 1451 145 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8300 1451 146 Rev. 5, Lawrence Livermore National Laboratory (1997) 8300 1451 147 8300 1451 148 These are the primary references to the contents of this library8300 1451 149 and they contain a complete list of references to the sources 8300 1451 150 of data used in this library, methods of evaluation, accuracy 8300 1451 151 of the data, etc. 8300 1451 152 =================================================================8300 1451 153 History 8300 1451 154 =================================================================8300 1451 155 Mod. 1 - October, 1989 - Initial release. 8300 1451 156 Mod. 2 - August, 1990 - Updated photoionization total and 8300 1451 157 subshell cross sections. 8300 1451 158 Mod. 3 - July, 1997 - Complete re-evaluation. 8300 1451 159 =================================================================8300 1451 160 1 451 196 38300 1451 161 23 501 1008 38300 1451 162 23 502 482 38300 1451 163 23 504 40 38300 1451 164 23 515 34 38300 1451 165 23 516 54 38300 1451 166 23 517 41 38300 1451 167 23 522 461 38300 1451 168 23 534 19 38300 1451 169 23 535 22 38300 1451 170 23 536 21 38300 1451 171 23 537 22 38300 1451 172 23 538 24 38300 1451 173 23 539 27 38300 1451 174 23 540 27 38300 1451 175 23 541 29 38300 1451 176 23 542 30 38300 1451 177 23 543 27 38300 1451 178 23 544 31 38300 1451 179 23 545 33 38300 1451 180 23 546 42 38300 1451 181 23 547 41 38300 1451 182 23 548 59 38300 1451 183 23 549 60 38300 1451 184 23 550 33 38300 1451 185 23 551 42 38300 1451 186 23 552 40 38300 1451 187 23 553 63 38300 1451 188 23 554 63 38300 1451 189 23 559 38 38300 1451 190 23 560 43 38300 1451 191 23 561 43 38300 1451 192 27 502 51 38300 1451 193 27 504 52 38300 1451 194 27 505 171 38300 1451 195 27 506 84 38300 1451 196 8300 1 0 197 8300 0 0 198 8.300000+4 2.071850+2 0 0 0 0830023501 199 0.0 0.0 0 0 1 3013830023501 200 3013 5 830023501 201 1.000000+0 2.064843-3 1.110907+0 3.221813-3 1.145260+0 3.669751-3830023501 202 1.258900+0 5.570574-3 1.276440+0 5.921222-3 1.331806+0 7.157326-3830023501 203 1.386707+0 8.613061-3 1.486429+0 1.193728-2 1.574075+0 1.570818-2830023501 204 1.584900+0 1.625261-2 1.688382+0 2.225786-2 1.753612+0 2.697203-2830023501 205 1.810687+0 3.183320-2 1.860629+0 3.675138-2 1.904328+0 4.162854-2830023501 206 1.942564+0 4.642014-2 1.995300+0 5.393418-2 2.097302+0 7.130928-2830023501 207 2.153760+0 8.306092-2 2.231979+0 1.025744-1 2.291821+0 1.209405-1830023501 208 2.319022+0 1.306008-1 2.380838+0 1.556406-1 2.446236+0 1.876543-1830023501 209 2.494351+0 2.157200-1 2.511900+0 2.273596-1 2.544057+0 2.501057-1830023501 210 2.591809+0 2.893583-1 2.636576+0 3.330054-1 2.678546+0 3.813666-1830023501 211 2.717892+0 4.347462-1 2.754779+0 4.935276-1 2.789361+0 5.582461-1830023501 212 2.824078+0 6.346532-1 2.852175+0 7.068519-1 2.880669+0 7.920410-1830023501 213 2.913020+0 9.062701-1 2.932427+0 9.857356-1 2.958536+0 1.108947+0830023501 214 2.977917+0 1.215007+0 2.998552+0 1.344764+0 3.017898+0 1.485550+0830023501 215 3.036035+0 1.638054+0 3.053038+0 1.803030+0 3.068979+0 1.981271+0830023501 216 3.083923+0 2.173582+0 3.099280+0 2.402307+0 3.111067+0 2.603867+0830023501 217 3.123381+0 2.843722+0 3.134925+0 3.101361+0 3.146104+0 3.387541+0830023501 218 3.155894+0 3.674064+0 3.162300+0 3.884885+0 3.165406+0 3.991254+0830023501 219 3.174323+0 4.330519+0 3.182683+0 4.693103+0 3.192196+0 5.169960+0830023501 220 3.197869+0 5.493823+0 3.204757+0 5.935196+0 3.211215+0 6.406495+0830023501 221 3.217270+0 6.910071+0 3.222946+0 7.448644+0 3.228267+0 8.025242+0830023501 222 3.238244+0 9.352680+0 3.246975+0 1.088225+1 3.254613+0 1.262862+1830023501 223 3.261297+0 1.458790+1 3.267146+0 1.673562+1 3.272263+0 1.903042+1830023501 224 3.276741+0 2.142079+1 3.280659+0 2.385229+1 3.287087+0 2.863964+1830023501 225 3.297751+0 3.920359+1 3.308595+0 5.395172+1 3.313723+0 6.247349+1830023501 226 3.316228+0 6.700045+1 3.320299+0 7.485607+1 3.324371+0 8.329543+1830023501 227 3.332513+0 1.016749+2 3.333531+0 1.040864+2 3.340655+0 1.214029+2830023501 228 3.343454+0 1.283067+2 3.348798+0 1.413761+2 3.352933+0 1.511729+2830023501 229 3.356940+0 1.601953+2 3.361075+0 1.688151+2 3.365083+0 1.763129+2830023501 230 3.368645+0 1.821270+2 3.372796+0 1.877388+2 3.377551+0 1.924479+2830023501 231 3.381622+0 1.948966+2 3.383039+0 1.953914+2 3.387084+0 1.957660+2830023501 232 3.390096+0 1.950422+2 3.398030+0 1.891394+2 3.400570+0 1.860908+2830023501 233 3.406304+0 1.773603+2 3.409554+0 1.713995+2 3.412294+0 1.658880+2830023501 234 3.414955+0 1.601636+2 3.418072+0 1.530698+2 3.422080+0 1.434674+2830023501 235 3.425642+0 1.346171+2 3.429077+0 1.259271+2 3.430222+0 1.230158+2830023501 236 3.434293+0 1.126830+2 3.438365+0 1.024993+2 3.442945+0 9.139465+1830023501 237 3.446507+0 8.311771+1 3.454649+0 6.571672+1 3.457448+0 6.028872+1830023501 238 3.460120+0 5.538987+1 3.462792+0 5.077181+1 3.466863+0 4.427730+1830023501 239 3.471627+0 3.749921+1 3.476456+0 3.149703+1 3.480573+0 2.703268+1830023501 240 3.486026+0 2.196777+1 3.494126+0 1.601442+1 3.515287+0 6.919890+0830023501 241 3.520479+0 5.652717+0 3.525631+0 4.639947+0 3.530743+0 3.828582+0830023501 242 3.535815+0 3.175957+0 3.540847+0 2.648175+0 3.545840+0 2.218593+0830023501 243 3.555709+0 1.575650+0 3.574988+0 8.160388-1 3.579714+0 6.931258-1830023501 244 3.584403+0 5.882586-1 3.589056+0 4.985956-1 3.593672+0 4.218484-1830023501 245 3.598252+0 3.561555-1 3.602796+0 2.999863-1 3.607305+0 2.520712-1830023501 246 3.611779+0 2.113468-1 3.616217+0 1.769156-1 3.625025+0 1.238143-1830023501 247 3.633696+0 8.814522-2 3.642231+0 6.615255-2 3.650632+0 5.489498-2830023501 248 3.658902+0 5.196326-2 3.667043+0 5.527934-2 3.675057+0 6.296390-2830023501 249 3.686798+0 7.882605-2 3.694473+0 9.003691-2 3.702028+0 1.001856-1830023501 250 3.713142+0 1.112329-1 3.721290+0 1.151617-1 3.732823+0 1.138713-1830023501 251 3.739782+0 1.094156-1 3.746659+0 1.027533-1 3.760093+0 8.533472-2830023501 252 3.770859+0 6.955180-2 3.785823+0 4.862836-2 3.798139+0 3.430053-2830023501 253 3.810070+0 2.377523-2 3.821628+0 1.693692-2 3.844022+0 1.288503-2830023501 254 3.865016+0 1.945068-2 3.904380+0 5.662752-2 3.981100+0 2.029893-1830023501 255 3.982100+0 2.063621-1 4.024931+0 3.343137-1 4.063680+0 4.859896-1830023501 256 4.096000+0 6.417035-1 4.136334+0 8.788630-1 4.158130+0 1.030633+0830023501 257 4.190215+0 1.291414+0 4.231368+0 1.706772+0 4.313675+0 2.935843+0830023501 258 4.354829+0 3.856755+0 4.385694+0 4.755536+0 4.407833+0 5.549362+0830023501 259 4.429164+0 6.467121+0 4.450496+0 7.576733+0 4.461161+0 8.220559+0830023501 260 4.471827+0 8.935468+0 4.482492+0 9.732485+0 4.493158+0 1.062498+1830023501 261 4.503823+0 1.162936+1 4.514489+0 1.276593+1 4.525154+0 1.406031+1830023501 262 4.535820+0 1.554533+1 4.546486+0 1.726404+1 4.555128+0 1.886740+1830023501 263 4.563231+0 2.058053+1 4.570827+0 2.241117+1 4.577949+0 2.436770+1830023501 264 4.591301+0 2.885184+1 4.602985+0 3.397526+1 4.613208+0 3.976640+1830023501 265 4.622153+0 4.619885+1 4.631358+0 5.457404+1 4.636829+0 6.060308+1830023501 266 4.642822+0 6.828554+1 4.648065+0 7.607050+1 4.656668+0 9.134820+1830023501 267 4.668963+0 1.196559+2 4.684770+0 1.697731+2 4.695167+0 2.124642+2830023501 268 4.698333+0 2.270904+2 4.707832+0 2.755036+2 4.713577+0 3.079511+2830023501 269 4.715492+0 3.192609+2 4.727042+0 3.919869+2 4.728486+0 4.015338+2830023501 270 4.738592+0 4.701064+2 4.742562+0 4.974487+2 4.750141+0 5.492033+2830023501 271 4.753396+0 5.709189+2 4.758932+0 6.066300+2 4.763171+0 6.325560+2830023501 272 4.766633+0 6.525770+2 4.771176+0 6.769839+2 4.777018+0 7.047054+2830023501 273 4.782847+0 7.276145+2 4.785512+0 7.363355+2 4.792280+0 7.531179+2830023501 274 4.797401+0 7.604097+2 4.804448+0 7.624940+2 4.808909+0 7.589989+2830023501 275 4.819975+0 7.346381+2 4.823578+0 7.221503+2 4.831465+0 6.878350+2830023501 276 4.836947+0 6.590068+2 4.840997+0 6.354977+2 4.846204+0 6.029790+2830023501 277 4.850759+0 5.728386+2 4.855874+0 5.376210+2 4.860146+0 5.074765+2830023501 278 4.865639+0 4.682699+2 4.872135+0 4.220243+2 4.877188+0 3.867070+2830023501 279 4.883685+0 3.427925+2 4.888738+0 3.101899+2 4.900288+0 2.421103+2830023501 280 4.903001+0 2.275720+2 4.915390+0 1.687738+2 4.922764+0 1.397026+2830023501 281 4.930390+0 1.141117+2 4.942378+0 8.229003+1 4.954366+0 5.928599+1830023501 282 4.959611+0 5.152744+1 4.966354+0 4.326979+1 4.972348+0 3.731905+1830023501 283 4.976844+0 3.358459+1 4.978342+0 3.246247+1 4.987333+0 2.682507+1830023501 284 4.990330+0 2.530264+1 5.002318+0 2.053054+1 5.005315+0 1.959383+1830023501 285 5.011900+0 1.781618+1 5.014306+0 1.720824+1 5.021798+0 1.557252+1830023501 286 5.038282+0 1.259901+1 5.047273+0 1.117025+1 5.050270+0 1.071208+1830023501 287 5.059261+0 9.382154+0 5.062258+0 8.953150+0 5.074246+0 7.314211+0830023501 288 5.086234+0 5.820893+0 5.089231+0 5.474244+0 5.098222+0 4.505825+0830023501 289 5.104216+0 3.923343+0 5.110210+0 3.393570+0 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1.617200+6 9.372890-1830023517 1842 1.712900+6 1.186110+0 1.784700+6 1.374550+0 1.892300+6 1.656480+0830023517 1843 2.000000+6 1.936000+0 2.044000+6 2.049000+0 2.163500+6 2.350210+0830023517 1844 2.372600+6 2.855500+0 2.686300+6 3.561900+0 3.000000+6 4.215000+0830023517 1845 3.500000+6 5.169180+0 4.000000+6 6.037000+0 5.000000+6 7.563000+0830023517 1846 6.000000+6 8.878000+0 7.000000+6 1.004000+1 8.000000+6 1.108000+1830023517 1847 9.000000+6 1.203000+1 1.000000+7 1.290000+1 1.100000+7 1.371000+1830023517 1848 1.200000+7 1.446000+1 1.300000+7 1.517000+1 1.400000+7 1.583000+1830023517 1849 1.500000+7 1.644000+1 1.600000+7 1.702000+1 1.800000+7 1.806000+1830023517 1850 2.000000+7 1.898000+1 2.200000+7 1.982000+1 2.400000+7 2.059000+1830023517 1851 2.600000+7 2.129000+1 2.800000+7 2.193000+1 3.000000+7 2.252000+1830023517 1852 4.000000+7 2.493000+1 5.000000+7 2.672000+1 6.000000+7 2.811000+1830023517 1853 8.000000+7 3.015000+1 1.000000+8 3.159000+1 1.500000+8 3.386000+1830023517 1854 2.000000+8 3.521000+1 3.000000+8 3.677000+1 4.000000+8 3.767000+1830023517 1855 5.000000+8 3.825000+1 6.000000+8 3.867000+1 8.000000+8 3.923000+1830023517 1856 1.000000+9 3.959000+1 1.500000+9 4.011000+1 2.000000+9 4.039000+1830023517 1857 3.000000+9 4.070000+1 4.000000+9 4.086000+1 5.000000+9 4.097000+1830023517 1858 6.000000+9 4.104000+1 8.000000+9 4.114000+1 1.00000+10 4.120000+1830023517 1859 1.50000+10 4.128000+1 2.00000+10 4.132000+1 3.00000+10 4.137000+1830023517 1860 4.00000+10 4.139000+1 5.00000+10 4.141000+1 6.00000+10 4.142000+1830023517 1861 8.00000+10 4.143000+1 1.00000+11 4.144000+1 830023517 1862 830023 0 1863 8.300000+4 2.071850+2 0 0 0 0830023522 1864 0.0 0.0 0 0 1 1372830023522 1865 1372 5 830023522 1866 6.350000+0 4.408500+7 6.683439+0 4.051456+7 7.100000+0 3.636480+7830023522 1867 7.585776+0 3.202449+7 8.035261+0 2.846859+7 8.511380+0 2.515738+7830023522 1868 8.600000+0 2.457671+7 8.600000+0 4.292821+7 8.912509+0 4.041369+7830023522 1869 9.015711+0 3.960206+7 9.225714+0 3.798132+7 9.660509+0 3.482669+7830023522 1870 1.011579+1 3.173217+7 1.035142+1 3.024618+7 1.050000+1 2.934124+7830023522 1871 1.100000+1 2.648314+7 1.109175+1 2.598922+7 1.150000+1 2.390441+7830023522 1872 1.202264+1 2.151210+7 1.270000+1 1.877449+7 1.310000+1 1.734682+7830023522 1873 1.348963+1 1.607884+7 1.428894+1 1.380601+7 1.445440+1 1.338337+7830023522 1874 1.531087+1 1.143419+7 1.603245+1 1.005813+7 1.650000+1 9.277173+6830023522 1875 1.769000+1 7.604364+6 1.769000+1 9.550950+6 1.819701+1 8.746723+6830023522 1876 1.862087+1 8.129816+6 1.972423+1 6.771304+6 2.065380+1 5.853215+6830023522 1877 2.400000+1 3.646050+6 2.600160+1 2.841198+6 2.754229+1 2.378485+6830023522 1878 2.851018+1 2.139474+6 2.917427+1 1.994426+6 3.054921+1 1.734783+6830023522 1879 3.126079+1 1.618689+6 3.190000+1 1.523458+6 3.217000+1 1.485712+6830023522 1880 3.217000+1 4.465936+6 3.250000+1 4.493432+6 3.280000+1 4.537287+6830023522 1881 3.311311+1 4.607512+6 3.340000+1 4.695391+6 3.365000+1 4.789744+6830023522 1882 3.400000+1 4.953268+6 3.427678+1 5.110163+6 3.430000+1 5.123737+6830023522 1883 3.467369+1 5.378487+6 3.470000+1 5.397188+6 3.510000+1 5.727417+6830023522 1884 3.537000+1 5.987601+6 3.537000+1 7.554533+6 3.548134+1 7.684726+6830023522 1885 3.550000+1 7.706845+6 3.570000+1 7.964699+6 3.600000+1 8.381124+6830023522 1886 3.630781+1 8.871086+6 3.650000+1 9.201658+6 3.670000+1 9.575092+6830023522 1887 3.672823+1 9.630265+6 3.700000+1 1.017992+7 3.720000+1 1.061417+7830023522 1888 3.740000+1 1.108063+7 3.770000+1 1.183254+7 3.801894+1 1.270380+7830023522 1889 3.815000+1 1.308073+7 3.850000+1 1.415910+7 3.900000+1 1.587654+7830023522 1890 3.920000+1 1.662816+7 3.935501+1 1.721886+7 3.950000+1 1.778996+7830023522 1891 4.000000+1 1.992234+7 4.050000+1 2.224032+7 4.073803+1 2.338738+7830023522 1892 4.110000+1 2.524077+7 4.120975+1 2.580010+7 4.168694+1 2.837230+7830023522 1893 4.220000+1 3.123294+7 4.265795+1 3.382831+7 4.300000+1 3.576667+7830023522 1894 4.315191+1 3.664713+7 4.365158+1 3.946074+7 4.410000+1 4.189603+7830023522 1895 4.420000+1 4.241680+7 4.450000+1 4.397307+7 4.472100+1 4.505422+7830023522 1896 4.500000+1 4.641096+7 4.518559+1 4.725091+7 4.520000+1 4.731687+7830023522 1897 4.540000+1 4.820000+7 4.570882+1 4.945885+7 4.590000+1 5.021561+7830023522 1898 4.610000+1 5.093438+7 4.630000+1 5.162447+7 4.650000+1 5.224482+7830023522 1899 4.677351+1 5.303517+7 4.680000+1 5.311265+7 4.700000+1 5.361129+7830023522 1900 4.740000+1 5.451821+7 4.786301+1 5.526143+7 4.800000+1 5.545019+7830023522 1901 4.820000+1 5.564764+7 4.850000+1 5.587624+7 4.860000+1 5.595416+7830023522 1902 4.870000+1 5.600636+7 4.897788+1 5.606722+7 4.900000+1 5.607233+7830023522 1903 4.920000+1 5.605938+7 4.954502+1 5.594738+7 5.000000+1 5.567687+7830023522 1904 5.011872+1 5.554244+7 5.060000+1 5.500937+7 5.080000+1 5.473989+7830023522 1905 5.110000+1 5.427372+7 5.170000+1 5.323031+7 5.188000+1 5.288618+7830023522 1906 5.190000+1 5.284817+7 5.230000+1 5.202519+7 5.248075+1 5.162398+7830023522 1907 5.308844+1 5.030905+7 5.400000+1 4.815254+7 5.450000+1 4.695128+7830023522 1908 5.500000+1 4.574421+7 5.623413+1 4.280390+7 5.650000+1 4.217965+7830023522 1909 5.688529+1 4.127080+7 5.800000+1 3.878253+7 5.821032+1 3.832193+7830023522 1910 5.888437+1 3.689304+7 5.900000+1 3.665493+7 6.025596+1 3.413928+7830023522 1911 6.165950+1 3.153510+7 6.300000+1 2.923554+7 6.309573+1 2.907970+7830023522 1912 6.456542+1 2.677682+7 6.606934+1 2.460999+7 6.650000+1 2.402068+7830023522 1913 6.760830+1 2.258453+7 6.918310+1 2.068541+7 7.079458+1 1.891570+7830023522 1914 7.161434+1 1.807149+7 7.244360+1 1.726515+7 7.413102+1 1.573311+7830023522 1915 7.585776+1 1.431267+7 7.673615+1 1.364086+7 7.800000+1 1.274163+7830023522 1916 8.000000+1 1.144498+7 8.222426+1 1.017437+7 8.317638+1 9.684153+6830023522 1917 8.511380+1 8.763083+6 8.609938+1 8.331858+6 8.810489+1 7.532295+6830023522 1918 9.015711+1 6.809940+6 9.300000+1 5.937139+6 9.500000+1 5.401218+6830023522 1919 9.660509+1 5.013774+6 9.746000+1 4.821375+6 9.746000+1 5.767639+6830023522 1920 9.795000+1 5.680620+6 9.800000+1 5.671371+6 9.870000+1 5.545109+6830023522 1921 9.930000+1 5.435247+6 1.000000+2 5.305944+6 1.007000+2 5.175139+6830023522 1922 1.015900+2 5.009560+6 1.020000+2 4.933231+6 1.025000+2 4.842341+6830023522 1923 1.035142+2 4.660066+6 1.047129+2 4.451152+6 1.050000+2 4.402633+6830023522 1924 1.071519+2 4.052212+6 1.083927+2 3.863369+6 1.096478+2 3.682091+6830023522 1925 1.100000+2 3.633197+6 1.135011+2 3.185626+6 1.161449+2 2.890994+6830023522 1926 1.174898+2 2.753114+6 1.190000+2 2.608150+6 1.216186+2 2.379072+6830023522 1927 1.220000+2 2.347603+6 1.231200+2 2.258967+6 1.231200+2 2.698355+6830023522 1928 1.236000+2 2.685105+6 1.239500+2 2.673576+6 1.243000+2 2.660872+6830023522 1929 1.244515+2 2.654588+6 1.247000+2 2.644357+6 1.252000+2 2.621430+6830023522 1930 1.257000+2 2.596042+6 1.260000+2 2.579637+6 1.262000+2 2.568866+6830023522 1931 1.267000+2 2.540030+6 1.274000+2 2.497314+6 1.280000+2 2.458774+6830023522 1932 1.282000+2 2.446284+6 1.289000+2 2.400794+6 1.300000+2 2.328238+6830023522 1933 1.303167+2 2.306892+6 1.315000+2 2.228919+6 1.333521+2 2.109515+6830023522 1934 1.350000+2 2.008702+6 1.364583+2 1.924739+6 1.380384+2 1.838061+6830023522 1935 1.400000+2 1.738462+6 1.430000+2 1.599131+6 1.445440+2 1.533914+6830023522 1936 1.462177+2 1.467222+6 1.470000+2 1.437401+6 1.480000+2 1.400790+6830023522 1937 1.496236+2 1.344689+6 1.540000+2 1.209089+6 1.548817+2 1.184411+6830023522 1938 1.566751+2 1.136707+6 1.584893+2 1.091617+6 1.600000+2 1.056168+6830023522 1939 1.603245+2 1.048770+6 1.621810+2 1.008375+6 1.659587+2 9.337470+5830023522 1940 1.668600+2 9.173446+5 1.668600+2 9.711760+5 1.678804+2 9.537273+5830023522 1941 1.681700+2 9.490061+5 1.681700+2 1.071273+6 1.682300+2 1.072447+6830023522 1942 1.685000+2 1.075885+6 1.688000+2 1.079175+6 1.690000+2 1.081067+6830023522 1943 1.690500+2 1.081563+6 1.694000+2 1.084355+6 1.697500+2 1.086436+6830023522 1944 1.701000+2 1.087941+6 1.704500+2 1.088830+6 1.708200+2 1.089113+6830023522 1945 1.712000+2 1.088779+6 1.716000+2 1.087794+6 1.718000+2 1.086898+6830023522 1946 1.720000+2 1.086020+6 1.722000+2 1.085247+6 1.727000+2 1.082318+6830023522 1947 1.733000+2 1.077858+6 1.738700+2 1.072721+6 1.738700+2 1.165419+6830023522 1948 1.739300+2 1.166547+6 1.740000+2 1.167418+6 1.742000+2 1.169696+6830023522 1949 1.745000+2 1.172687+6 1.748000+2 1.175273+6 1.748300+2 1.175479+6830023522 1950 1.751000+2 1.177034+6 1.755000+2 1.178752+6 1.757924+2 1.179569+6830023522 1951 1.758000+2 1.179592+6 1.760000+2 1.179533+6 1.762000+2 1.179616+6830023522 1952 1.766000+2 1.179143+6 1.770000+2 1.178148+6 1.775000+2 1.175637+6830023522 1953 1.778279+2 1.173460+6 1.780000+2 1.172357+6 1.781000+2 1.171739+6830023522 1954 1.785000+2 1.168628+6 1.787000+2 1.166936+6 1.793000+2 1.161123+6830023522 1955 1.800000+2 1.153677+6 1.810000+2 1.142024+6 1.819701+2 1.130230+6830023522 1956 1.820000+2 1.129870+6 1.835000+2 1.110947+6 1.840772+2 1.103432+6830023522 1957 1.842000+2 1.101851+6 1.850000+2 1.091979+6 1.862087+2 1.077591+6830023522 1958 1.865000+2 1.074221+6 1.883649+2 1.054242+6 1.885000+2 1.052841+6830023522 1959 1.890000+2 1.048042+6 1.905461+2 1.034150+6 1.910000+2 1.030480+6830023522 1960 1.922000+2 1.021447+6 1.930000+2 1.016124+6 1.933000+2 1.014223+6830023522 1961 1.940000+2 1.010219+6 1.950000+2 1.005359+6 1.955000+2 1.002988+6830023522 1962 1.957000+2 1.002157+6 1.972423+2 9.970122+5 1.973000+2 9.968680+5830023522 1963 1.980000+2 9.956262+5 1.990000+2 9.942361+5 1.992000+2 9.941172+5830023522 1964 2.000000+2 9.941558+5 2.010000+2 9.944171+5 2.018366+2 9.958338+5830023522 1965 2.020000+2 9.961562+5 2.030000+2 9.983567+5 2.050000+2 1.005898+6830023522 1966 2.051300+2 1.006505+6 2.065380+2 1.014152+6 2.070000+2 1.016914+6830023522 1967 2.075000+2 1.020210+6 2.089296+2 1.030986+6 2.090000+2 1.031543+6830023522 1968 2.100000+2 1.040136+6 2.113489+2 1.053198+6 2.135000+2 1.077391+6830023522 1969 2.142000+2 1.086150+6 2.162719+2 1.114556+6 2.170000+2 1.125248+6830023522 1970 2.205000+2 1.184625+6 2.213095+2 1.199834+6 2.220000+2 1.213297+6830023522 1971 2.238721+2 1.252312+6 2.242500+2 1.260542+6 2.264644+2 1.311918+6830023522 1972 2.300000+2 1.402996+6 2.317395+2 1.452119+6 2.330000+2 1.489563+6830023522 1973 2.344229+2 1.532861+6 2.371374+2 1.620818+6 2.380000+2 1.650356+6830023522 1974 2.400000+2 1.719465+6 2.426610+2 1.816228+6 2.430000+2 1.828624+6830023522 1975 2.449500+2 1.902217+6 2.450000+2 1.904155+6 2.465000+2 1.962256+6830023522 1976 2.483133+2 2.032881+6 2.490000+2 2.060480+6 2.500000+2 2.100677+6830023522 1977 2.511886+2 2.147859+6 2.520000+2 2.180816+6 2.540973+2 2.266774+6830023522 1978 2.560000+2 2.344770+6 2.570396+2 2.387428+6 2.580000+2 2.427644+6830023522 1979 2.600160+2 2.511124+6 2.620000+2 2.594023+6 2.635000+2 2.655840+6830023522 1980 2.650000+2 2.717592+6 2.660725+2 2.762665+6 2.670000+2 2.802257+6830023522 1981 2.722701+2 3.019195+6 2.730000+2 3.048044+6 2.754229+2 3.145785+6830023522 1982 2.770000+2 3.211054+6 2.818383+2 3.401840+6 2.830000+2 3.447805+6830023522 1983 2.851018+2 3.527571+6 2.884032+2 3.652393+6 2.900000+2 3.710922+6830023522 1984 2.917427+2 3.773192+6 2.930000+2 3.818655+6 2.951209+2 3.891966+6830023522 1985 2.985383+2 4.007302+6 3.000000+2 4.053932+6 3.050000+2 4.208875+6830023522 1986 3.054921+2 4.223250+6 3.090295+2 4.322300+6 3.100000+2 4.349748+6830023522 1987 3.126079+2 4.414750+6 3.162278+2 4.506039+6 3.200000+2 4.586661+6830023522 1988 3.235937+2 4.664071+6 3.240000+2 4.672158+6 3.280000+2 4.743004+6830023522 1989 3.311311+2 4.798809+6 3.320000+2 4.812996+6 3.350000+2 4.856588+6830023522 1990 3.390000+2 4.914812+6 3.427678+2 4.958610+6 3.430000+2 4.961306+6830023522 1991 3.464100+2 5.000807+6 3.470000+2 5.007651+6 3.548134+2 5.077315+6830023522 1992 3.550000+2 5.078973+6 3.589219+2 5.103075+6 3.600000+2 5.109685+6830023522 1993 3.630781+2 5.128484+6 3.650000+2 5.140145+6 3.672823+2 5.147243+6830023522 1994 3.758374+2 5.173540+6 3.850000+2 5.177841+6 3.890451+2 5.169382+6830023522 1995 3.930000+2 5.161224+6 3.981072+2 5.150770+6 4.073803+2 5.108996+6830023522 1996 4.120975+2 5.088072+6 4.168694+2 5.056794+6 4.216965+2 5.025647+6830023522 1997 4.265795+2 4.994731+6 4.280000+2 4.985841+6 4.315191+2 4.957201+6830023522 1998 4.350000+2 4.929245+6 4.406100+2 4.884846+6 4.406100+2 5.001820+6830023522 1999 4.430000+2 4.996284+6 4.450000+2 4.992809+6 4.466836+2 4.986853+6830023522 2000 4.535000+2 4.955750+6 4.620000+2 4.916365+6 4.623810+2 4.914567+6830023522 2001 4.649500+2 4.899429+6 4.649500+2 4.982606+6 4.650000+2 4.982442+6830023522 2002 4.665000+2 4.975465+6 4.677351+2 4.969560+6 4.700000+2 4.959269+6830023522 2003 4.731513+2 4.946066+6 4.755000+2 4.934749+6 4.760000+2 4.932077+6830023522 2004 4.841724+2 4.883992+6 4.850000+2 4.878849+6 4.930000+2 4.820553+6830023522 2005 4.940000+2 4.813310+6 4.954502+2 4.802479+6 5.011872+2 4.757961+6830023522 2006 5.080000+2 4.707313+6 5.100000+2 4.690667+6 5.120000+2 4.673745+6830023522 2007 5.128614+2 4.666263+6 5.188000+2 4.616505+6 5.190000+2 4.614862+6830023522 2008 5.230000+2 4.581627+6 5.260000+2 4.556001+6 5.300000+2 4.521920+6830023522 2009 5.308844+2 4.514459+6 5.350000+2 4.475624+6 5.370318+2 4.457158+6830023522 2010 5.432503+2 4.400292+6 5.559043+2 4.288176+6 5.623413+2 4.233218+6830023522 2011 5.650000+2 4.209012+6 5.688529+2 4.174175+6 5.720000+2 4.146127+6830023522 2012 5.754399+2 4.115700+6 5.888437+2 4.001857+6 5.900000+2 3.992372+6830023522 2013 5.956621+2 3.942782+6 6.025596+2 3.883424+6 6.100000+2 3.821093+6830023522 2014 6.165950+2 3.767571+6 6.237348+2 3.710581+6 6.280000+2 3.674930+6830023522 2015 6.382635+2 3.591305+6 6.456542+2 3.532803+6 6.500000+2 3.499308+6830023522 2016 6.531306+2 3.475344+6 6.606934+2 3.418707+6 6.683439+2 3.360217+6830023522 2017 6.691600+2 3.354096+6 6.691600+2 3.551590+6 6.700000+2 3.545211+6830023522 2018 6.760830+2 3.499143+6 6.780000+2 3.484876+6 6.839116+2 3.441352+6830023522 2019 7.000000+2 3.328253+6 7.079458+2 3.271372+6 7.190000+2 3.195241+6830023522 2020 7.300000+2 3.122597+6 7.328245+2 3.104090+6 7.413102+2 3.049044+6830023522 2021 7.500000+2 2.992076+6 7.585776+2 2.937719+6 7.650000+2 2.898379+6830023522 2022 7.673615+2 2.884041+6 7.852356+2 2.778295+6 7.943282+2 2.725120+6830023522 2023 7.994300+2 2.695903+6 7.994300+2 2.732262+6 8.035261+2 2.709218+6830023522 2024 8.100000+2 2.673250+6 8.128305+2 2.657615+6 8.222426+2 2.606761+6830023522 2025 8.317638+2 2.557096+6 8.413951+2 2.508544+6 8.500000+2 2.465607+6830023522 2026 8.511380+2 2.459909+6 8.709636+2 2.363086+6 8.810489+2 2.316212+6830023522 2027 8.912509+2 2.270166+6 9.000000+2 2.231886+6 9.015711+2 2.225060+6830023522 2028 9.120108+2 2.179978+6 9.225714+2 2.135097+6 9.234300+2 2.131484+6830023522 2029 9.234300+2 2.173365+6 9.332543+2 2.132509+6 9.549926+2 2.046761+6830023522 2030 9.660509+2 2.004955+6 9.700000+2 1.990368+6 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