71-Lu Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 7.100000+4 1.734670+2 -1 0 0 37100 1451 1 0.0 0.0 0 0 0 67100 1451 2 0.0 0.0 0 0 3 67100 1451 3 0.0 0.0 0 0 154 347100 1451 4 71-LU LLNL Eval-Jul97 D.E.Cullen, et al. 7100 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 7100 1451 6 ---- ENDF/B-VI MATERIAL 7100 7100 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 7100 1451 8 ------ ENDF/B-6 7100 1451 9 =================================================================7100 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 7100 1451 11 ENDF/B-VI format 7100 1451 12 =================================================================7100 1451 13 Contents 7100 1451 14 =================================================================7100 1451 15 MF/MT Description 7100 1451 16 =================================================================7100 1451 17 23/501 Total cross sections 7100 1451 18 23/502 Coherent scattering cross sections 7100 1451 19 23/504 Incoherent scattering cross sections 7100 1451 20 23/515 Pair production cross sections, Electron field 7100 1451 21 23/516 Pair production cross sections, Total 7100 1451 22 23/517 Pair production cross sections, Nuclear field 7100 1451 23 23/522 Total photoionization cross section 7100 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 7100 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 7100 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 7100 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 7100 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 7100 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 7100 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 7100 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 7100 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 7100 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 7100 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 7100 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 7100 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 7100 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 7100 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 7100 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 7100 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 7100 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 7100 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 7100 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 7100 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 7100 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 7100 1451 46 =================================================================7100 1451 47 27/502 Coherent scattering form factors 7100 1451 48 27/504 Incoherent scattering functions 7100 1451 49 27/505 Imaginary anomalous scattering factor 7100 1451 50 27/506 Real anomalous scattering factor 7100 1451 51 =================================================================7100 1451 52 Warning 7100 1451 53 =================================================================7100 1451 54 MF/MT combinations used to define photoionization subshell cross7100 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 7100 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7100 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7100 1451 58 If you are not prepared to use this data you need merely delete 7100 1451 59 it and all of the remaining data will still be consistent and 7100 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 7100 1451 61 However, this will limit the range of problems to which this 7100 1451 62 data can be applied (see: ref. 1 for details). 7100 1451 63 =================================================================7100 1451 64 Definition of new types of data 7100 1451 65 =================================================================7100 1451 66 1) The total photoionization cross section is equal to the sum 7100 1451 67 of the photoionization subshell cross sections. 7100 1451 68 7100 1451 69 For each subshell on the second line of a section the C1 and 7100 1451 70 C2 fields are defined as, 7100 1451 71 7100 1451 72 EPE = The photoionization edge energy (similar to Q-value) 7100 1451 73 EFL = The fluorescence yield (eV/photoionization) 7100 1451 74 7100 1451 75 2) The angular distribution of coherently scattered photons is, 7100 1451 76 7100 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7100 1451 78 7100 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 7100 1451 80 T = The Thomson cross section 7100 1451 81 MU = The cosine of the scattering angle 7100 1451 82 FF(M) = The atomic form factor 7100 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7100 1451 84 F1(E) = The real anomalous scattering factor 7100 1451 85 F2(E) = The imaginary anomalous scattering factor 7100 1451 86 7100 1451 87 F1(E) and F2(E) are isotropic. 7100 1451 88 7100 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 7100 1451 90 using only form factors (the older ENDF/B convention). 7100 1451 91 =================================================================7100 1451 92 Differences between EPDL97 and the data base presented here 7100 1451 93 =================================================================7100 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 7100 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 7100 1451 96 2) Type of Data - EPDL97 - Photon interaction including 7100 1451 97 photoexcitation 7100 1451 98 Here - Photon interaction - ENDF/B-VI has 7100 1451 99 no provision for photoexcitation 7100 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 7100 1451 101 (photons, electrons, positrons) 7100 1451 102 HERE - No secondary energy data 7100 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7100 1451 104 interpolable - the total cross 7100 1451 105 section is not included 7100 1451 106 - Form factors and scattering functions 7100 1451 107 are Log X vs. Log y, except first 7100 1451 108 interval. 7100 1451 109 - Anomalous scattering factors linearly 7100 1451 110 interpolable (they can be negative) 7100 1451 111 Here - Up through ENDF/B-V photon interaction7100 1451 112 cross sections were Log X vs. Log Y. 7100 1451 113 - For the first two Mods. of ENDF/B-VI 7100 1451 114 in order to consistently define the 7100 1451 115 total cross sections at ALL energies 7100 1451 116 all cross sections were linearized. 7100 1451 117 This was NOT a good idea. 7100 1451 118 - Starting with Mod. 3, cross sections 7100 1451 119 are left in Log X vs. Log. Y form so 7100 1451 120 that they are IDENTICAL to what's in 7100 1451 121 EPDL97. 7100 1451 122 The total is defined ONLY at the 7100 1451 123 energies tabulated in any other cross 7100 1451 124 section. 7100 1451 125 WARNING - As a result the total cross section 7100 1451 126 MUST NOT be interpolated to define the7100 1451 127 total between tabulated energies. The 7100 1451 128 ONLY consist way to define the total 7100 1451 129 between tabulated energies is to 7100 1451 130 interpolate all of the partials and 7100 1451 131 add them up. 7100 1451 132 =================================================================7100 1451 133 References 7100 1451 134 =================================================================7100 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7100 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7100 1451 137 graphs of photon interaction cross sections from 10 eV to 100 7100 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7100 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7100 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7100 1451 141 7100 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7100 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7100 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 7100 1451 145 7100 1451 146 These are the primary references to the contents of this library7100 1451 147 and they contain a complete list of references to the sources 7100 1451 148 of data used in this library, methods of evaluation, accuracy 7100 1451 149 of the data, etc. 7100 1451 150 =================================================================7100 1451 151 History 7100 1451 152 =================================================================7100 1451 153 Mod. 1 - October, 1989 - Initial release. 7100 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 7100 1451 155 subshell cross sections. 7100 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 7100 1451 157 =================================================================7100 1451 158 1 451 192 37100 1451 159 23 501 972 37100 1451 160 23 502 460 37100 1451 161 23 504 40 37100 1451 162 23 515 33 37100 1451 163 23 516 53 37100 1451 164 23 517 40 37100 1451 165 23 522 446 37100 1451 166 23 534 20 37100 1451 167 23 535 23 37100 1451 168 23 536 22 37100 1451 169 23 537 23 37100 1451 170 23 538 26 37100 1451 171 23 539 28 37100 1451 172 23 540 29 37100 1451 173 23 541 31 37100 1451 174 23 542 30 37100 1451 175 23 543 29 37100 1451 176 23 544 33 37100 1451 177 23 545 33 37100 1451 178 23 546 51 37100 1451 179 23 547 54 37100 1451 180 23 548 55 37100 1451 181 23 549 57 37100 1451 182 23 550 38 37100 1451 183 23 551 41 37100 1451 184 23 552 42 37100 1451 185 23 553 64 37100 1451 186 23 554 64 37100 1451 187 23 559 43 37100 1451 188 27 502 52 37100 1451 189 27 504 53 37100 1451 190 27 505 191 37100 1451 191 27 506 125 37100 1451 192 7100 1 0 193 7100 0 0 194 7.100000+4 1.734670+2 0 0 0 0710023501 195 0.0 0.0 0 0 1 2905710023501 196 2905 5 710023501 197 1.000000+0 4.024263+0 1.001378+0 3.840956+0 1.002241+0 3.709985+0710023501 198 1.003438+0 3.512020+0 1.004467+0 3.329334+0 1.005269+0 3.180942+0710023501 199 1.006300+0 2.984627+0 1.007348+0 2.781411+0 1.008442+0 2.567970+0710023501 200 1.009892+0 2.288172+0 1.011089+0 2.063458+0 1.012436+0 1.821215+0710023501 201 1.013484+0 1.642490+0 1.016028+0 1.250588+0 1.016799+0 1.144571+0710023501 202 1.017536+0 1.049162+0 1.018272+0 9.594245-1 1.019320+0 8.414883-1710023501 203 1.020667+0 7.061722-1 1.022109+0 5.806735-1 1.023424+0 4.824447-1710023501 204 1.024726+0 3.991833-1 1.025586+0 3.511286-1 1.026439+0 3.084499-1710023501 205 1.027286+0 2.706420-1 1.028126+0 2.372267-1 1.029786+0 1.818135-1710023501 206 1.031420+0 1.390102-1 1.033029+0 1.061318-1 1.034613+0 8.097875-2710023501 207 1.036172+0 6.178692-2 1.038466+0 4.121806-2 1.040706+0 2.754817-2710023501 208 1.042894+0 1.846060-2 1.047119+0 8.448673-3 1.047804+0 7.458962-3710023501 209 1.048484+0 6.605418-3 1.049158+0 5.872525-3 1.049827+0 5.246778-3710023501 210 1.050491+0 4.716415-3 1.051148+0 4.271976-3 1.051475+0 4.078726-3710023501 211 1.052124+0 3.745286-3 1.052769+0 3.476372-3 1.053089+0 3.364038-3710023501 212 1.053408+0 3.265523-3 1.054044+0 3.107028-3 1.054675+0 2.996412-3710023501 213 1.055301+0 2.929325-3 1.055922+0 2.901938-3 1.057155+0 2.953598-3710023501 214 1.058368+0 3.129210-3 1.059562+0 3.410783-3 1.060738+0 3.784034-3710023501 215 1.061895+0 4.237506-3 1.066380+0 6.712795-3 1.068518+0 8.255799-3710023501 216 1.070589+0 9.956286-3 1.074602+0 1.379563-2 1.078365+0 1.801449-2710023501 217 1.092473+0 3.933903-2 1.097764+0 5.037716-2 1.102393+0 6.227206-2710023501 218 1.106444+0 7.517461-2 1.109988+0 8.927576-2 1.113089+0 1.047730-1710023501 219 1.115803+0 1.217931-1 1.118177+0 1.403222-1 1.120255+0 1.601800-1710023501 220 1.122073+0 1.810441-1 1.123664+0 2.025038-1 1.125055+0 2.241209-1710023501 221 1.127339+0 2.662240-1 1.131127+0 3.576409-1 1.134973+0 4.825458-1710023501 222 1.136732+0 5.511064-1 1.138988+0 6.490154-1 1.140385+0 7.146709-1710023501 223 1.143178+0 8.547816-1 1.143527+0 8.728730-1 1.145971+0 1.000718+0710023501 224 1.146931+0 1.050616+0 1.148764+0 1.143191+0 1.149724+0 1.189400+0710023501 225 1.150641+0 1.231475+0 1.151557+0 1.271146+0 1.152779+0 1.319600+0710023501 226 1.153958+0 1.360732+0 1.155049+0 1.393252+0 1.155965+0 1.416026+0710023501 227 1.157318+0 1.441455+0 1.158628+0 1.456185+0 1.160024+0 1.460703+0710023501 228 1.160510+0 1.459515+0 1.161898+0 1.448278+0 1.163273+0 1.425843+0710023501 229 1.164572+0 1.394741+0 1.165916+0 1.353101+0 1.166594+0 1.328735+0710023501 230 1.168573+0 1.246097+0 1.169653+0 1.194816+0 1.170563+0 1.148836+0710023501 231 1.171764+0 1.085078+0 1.172700+0 1.033526+0 1.173903+0 9.656257-1710023501 232 1.175125+0 8.956817-1 1.176401+0 8.225839-1 1.178092+0 7.273318-1710023501 233 1.179314+0 6.606520-1 1.179664+0 6.420386-1 1.181627+0 5.417537-1710023501 234 1.182282+0 5.101973-1 1.185250+0 3.805838-1 1.186150+0 3.458756-1710023501 235 1.187009+0 3.147922-1 1.187868+0 2.857011-1 1.189483+0 2.363229-1710023501 236 1.190864+0 1.993816-1 1.192278+0 1.663307-1 1.193481+0 1.417185-1710023501 237 1.194281+0 1.270521-1 1.195077+0 1.136912-1 1.195870+0 1.015494-1710023501 238 1.196660+0 9.054167-2 1.197447+0 8.058525-2 1.198231+0 7.160013-2710023501 239 1.199012+0 6.350948-2 1.199790+0 5.624008-2 1.200565+0 4.972244-2710023501 240 1.201337+0 4.389108-2 1.202105+0 3.868455-2 1.203634+0 2.992036-2710023501 241 1.205151+0 2.301850-2 1.206655+0 1.762875-2 1.208148+0 1.345733-2710023501 242 1.211100+0 7.841527-3 1.212194+0 6.439166-3 1.212920+0 5.669096-3710023501 243 1.213642+0 5.013622-3 1.214182+0 4.589822-3 1.214542+0 4.336664-3710023501 244 1.215258+0 3.895493-3 1.215972+0 3.533172-3 1.216327+0 3.378980-3710023501 245 1.217038+0 3.119593-3 1.217745+0 2.920341-3 1.218450+0 2.775222-3710023501 246 1.219152+0 2.678999-3 1.219851+0 2.627102-3 1.220547+0 2.615555-3710023501 247 1.221935+0 2.700405-3 1.223311+0 2.911024-3 1.224677+0 3.230015-3710023501 248 1.226032+0 3.643917-3 1.227377+0 4.142051-3 1.230034+0 5.357208-3710023501 249 1.258900+0 1.007152-2 1.398137+0 1.751015-1 1.405019+0 1.959845-1710023501 250 1.408461+0 2.060071-1 1.411902+0 2.141831-1 1.412762+0 2.157827-1710023501 251 1.415343+0 2.191946-1 1.417494+0 2.201866-1 1.418785+0 2.198718-1710023501 252 1.419645+0 2.192603-1 1.420935+0 2.177225-1 1.422226+0 2.154286-1710023501 253 1.423947+0 2.111948-1 1.425667+0 2.056528-1 1.427388+0 1.988811-1710023501 254 1.429109+0 1.909989-1 1.429539+0 1.888724-1 1.432174+0 1.747130-1710023501 255 1.432980+0 1.700591-1 1.436206+0 1.505673-1 1.437315+0 1.437281-1710023501 256 1.439863+0 1.282242-1 1.442874+0 1.110280-1 1.446315+0 9.401156-2710023501 257 1.447821+0 8.769945-2 1.449273+0 8.233928-2 1.449757+0 8.071606-2710023501 258 1.451477+0 7.561701-2 1.452768+0 7.248154-2 1.453628+0 7.071496-2710023501 259 1.455887+0 6.726813-2 1.456639+0 6.648574-2 1.460081+0 6.501186-2710023501 260 1.460941+0 6.512805-2 1.463522+0 6.644652-2 1.465243+0 6.800969-2710023501 261 1.466963+0 7.000719-2 1.469156+0 7.303847-2 1.476385+0 8.505055-2710023501 262 1.479238+0 9.001606-2 1.484900+0 9.948865-2 1.490473+0 1.080380-1710023501 263 1.495960+0 1.157143-1 1.506761+0 1.292938-1 1.517225+0 1.413613-1710023501 264 1.537498+0 1.641304-1 1.584900+0 2.093697-1 1.689550+0 3.495787-1710023501 265 1.784582+0 5.118758-1 1.886930+0 7.524281-1 1.959457+0 9.817023-1710023501 266 1.995300+0 1.119523+0 2.005977+0 1.163671+0 2.050313+0 1.366367+0710023501 267 2.092122+0 1.587816+0 2.135832+0 1.858478+0 2.168614+0 2.092169+0710023501 268 2.193201+0 2.289264+0 2.230081+0 2.623628+0 2.283701+0 3.203004+0710023501 269 2.328340+0 3.798541+0 2.367399+0 4.424976+0 2.403662+0 5.117011+0710023501 270 2.437129+0 5.876001+0 2.470334+0 6.763702+0 2.509701+0 8.028262+0710023501 271 2.511900+0 8.109437+0 2.534349+0 8.982086+0 2.552836+0 9.810882+0710023501 272 2.595449+0 1.213440+1 2.608295+0 1.288285+1 2.619355+0 1.350985+1710023501 273 2.646182+0 1.504390+1 2.652523+0 1.545416+1 2.663614+0 1.626344+1710023501 274 2.671548+0 1.692790+1 2.684231+0 1.814867+1 2.703255+0 2.032542+1710023501 275 2.726296+0 2.346751+1 2.750830+0 2.749390+1 2.767242+0 3.069588+1710023501 276 2.782175+0 3.406397+1 2.800515+0 3.894929+1 2.816563+0 4.409131+1710023501 277 2.830605+0 4.945374+1 2.842892+0 5.499413+1 2.853643+0 6.066505+1710023501 278 2.863050+0 6.641575+1 2.871281+0 7.219443+1 2.878483+0 7.795071+1710023501 279 2.884785+0 8.363750+1 2.895814+0 9.545747+1 2.904085+0 1.064041+2710023501 280 2.910288+0 1.162165+2 2.914941+0 1.247408+2 2.921920+0 1.399443+2710023501 281 2.928899+0 1.589577+2 2.936108+0 1.840206+2 2.939713+0 1.991849+2710023501 282 2.943317+0 2.164610+2 2.946922+0 2.361440+2 2.950526+0 2.585452+2710023501 283 2.955337+0 2.932287+2 2.961340+0 3.452419+2 2.978227+0 5.529221+2710023501 284 2.980314+0 5.852610+2 2.986572+0 6.905945+2 2.991052+0 7.727998+2710023501 285 2.998378+0 9.160045+2 2.999294+0 9.343832+2 3.005704+0 1.063427+3710023501 286 3.008222+0 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1.150381+7710023522 1840 3.801894+1 1.112331+7 3.845918+1 1.076246+7 3.890451+1 1.042024+7710023522 1841 3.935501+1 1.009463+7 3.981072+1 9.785547+6 4.000000+1 9.662674+6710023522 1842 4.152000+1 8.802354+6 4.152000+1 1.445873+7 4.168694+1 1.429706+7710023522 1843 4.220000+1 1.382005+7 4.265795+1 1.341909+7 4.315191+1 1.301089+7710023522 1844 4.415704+1 1.224578+7 4.466836+1 1.189107+7 4.500000+1 1.167161+7710023522 1845 4.518559+1 1.155262+7 4.623810+1 1.092604+7 4.720000+1 1.041554+7710023522 1846 4.731513+1 1.035831+7 4.786301+1 1.009580+7 4.800000+1 1.003238+7710023522 1847 5.011872+1 9.175635+6 5.069907+1 8.973169+6 5.128614+1 8.780441+6710023522 1848 5.308844+1 8.271054+6 5.400000+1 8.048625+6 5.500000+1 7.829286+6710023522 1849 5.623413+1 7.596301+6 5.650000+1 7.551037+6 5.688529+1 7.487301+6710023522 1850 5.800000+1 7.317699+6 5.888437+1 7.198341+6 5.900000+1 7.184181+6710023522 1851 6.000000+1 7.071741+6 6.025596+1 7.045663+6 6.165950+1 6.917340+6710023522 1852 6.237348+1 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9.225714+1 7.139673+6710023522 1865 9.300000+1 7.159571+6 9.440609+1 7.193904+6 9.660509+1 7.250586+6710023522 1866 9.772372+1 7.275718+6 9.800000+1 7.282033+6 9.900000+1 7.301674+6710023522 1867 1.000000+2 7.322078+6 1.011579+2 7.346778+6 1.023293+2 7.372228+6710023522 1868 1.035142+2 7.393643+6 1.040000+2 7.402558+6 1.047129+2 7.413730+6710023522 1869 1.060000+2 7.434199+6 1.083927+2 7.473993+6 1.096478+2 7.490769+6710023522 1870 1.109175+2 7.508076+6 1.122018+2 7.521969+6 1.135011+2 7.536548+6710023522 1871 1.161449+2 7.567547+6 1.174898+2 7.579305+6 1.190000+2 7.592994+6710023522 1872 1.240000+2 7.628188+6 1.244515+2 7.631537+6 1.258925+2 7.637410+6710023522 1873 1.273503+2 7.643425+6 1.303167+2 7.648938+6 1.318257+2 7.652388+6710023522 1874 1.330000+2 7.655177+6 1.333521+2 7.654906+6 1.350000+2 7.653671+6710023522 1875 1.364583+2 7.649018+6 1.380384+2 7.644322+6 1.396368+2 7.639975+6710023522 1876 1.412538+2 7.635761+6 1.428894+2 7.626350+6 1.430000+2 7.625724+6710023522 1877 1.445440+2 7.617201+6 1.462177+2 7.603931+6 1.479108+2 7.590961+6710023522 1878 1.500000+2 7.575308+6 1.531087+2 7.542802+6 1.540000+2 7.533676+6710023522 1879 1.566751+2 7.500062+6 1.603245+2 7.456073+6 1.609700+2 7.446862+6710023522 1880 1.640590+2 7.403527+6 1.650000+2 7.390614+6 1.678804+2 7.346475+6710023522 1881 1.698244+2 7.317306+6 1.717908+2 7.283315+6 1.720000+2 7.279734+6710023522 1882 1.757924+2 7.216067+6 1.760000+2 7.212641+6 1.798871+2 7.142363+6710023522 1883 1.800000+2 7.140356+6 1.819701+2 7.105702+6 1.840772+2 7.069169+6710023522 1884 1.883649+2 6.988645+6 1.900000+2 6.958729+6 1.905461+2 6.948047+6710023522 1885 1.927525+2 6.905412+6 1.949845+2 6.863049+6 1.950000+2 6.862757+6710023522 1886 1.972423+2 6.816248+6 1.980000+2 6.800724+6 1.993200+2 6.773943+6710023522 1887 1.993200+2 7.125549+6 2.000000+2 7.113094+6 2.002000+2 7.109446+6710023522 1888 2.010000+2 7.096880+6 2.018366+2 7.085793+6 2.020000+2 7.083387+6710023522 1889 2.030000+2 7.071159+6 2.041738+2 7.059615+6 2.065380+2 7.042169+6710023522 1890 2.080000+2 7.032936+6 2.089296+2 7.025745+6 2.089600+2 7.025460+6710023522 1891 2.093800+2 7.021578+6 2.093800+2 7.237429+6 2.095000+2 7.237233+6710023522 1892 2.105000+2 7.233643+6 2.113489+2 7.229206+6 2.115000+2 7.228453+6710023522 1893 2.128000+2 7.219005+6 2.137962+2 7.209689+6 2.138000+2 7.209655+6710023522 1894 2.150000+2 7.196045+6 2.151300+2 7.194434+6 2.165000+2 7.174466+6710023522 1895 2.180000+2 7.150247+6 2.187762+2 7.135407+6 2.195000+2 7.121820+6710023522 1896 2.198000+2 7.115848+6 2.208000+2 7.094394+6 2.213095+2 7.082893+6710023522 1897 2.218000+2 7.071916+6 2.220000+2 7.067160+6 2.230000+2 7.040291+6710023522 1898 2.240000+2 7.012312+6 2.255000+2 6.966986+6 2.264644+2 6.936652+6710023522 1899 2.270000+2 6.919964+6 2.285000+2 6.870298+6 2.290868+2 6.850459+6710023522 1900 2.300000+2 6.818577+6 2.306200+2 6.796463+6 2.317395+2 6.756249+6710023522 1901 2.323000+2 6.736345+6 2.344229+2 6.660216+6 2.350000+2 6.639921+6710023522 1902 2.371374+2 6.563773+6 2.380000+2 6.533736+6 2.389200+2 6.501568+6710023522 1903 2.415000+2 6.409776+6 2.426610+2 6.369051+6 2.450000+2 6.289104+6710023522 1904 2.454709+2 6.272891+6 2.465000+2 6.237466+6 2.483133+2 6.176957+6710023522 1905 2.500000+2 6.122032+6 2.530000+2 6.028454+6 2.540973+2 5.995565+6710023522 1906 2.560000+2 5.937227+6 2.570396+2 5.906366+6 2.580000+2 5.878200+6710023522 1907 2.590000+2 5.849391+6 2.600160+2 5.820905+6 2.620000+2 5.764229+6710023522 1908 2.630268+2 5.736097+6 2.650000+2 5.682826+6 2.660725+2 5.654777+6710023522 1909 2.680000+2 5.605621+6 2.691535+2 5.577102+6 2.710000+2 5.532540+6710023522 1910 2.722701+2 5.502797+6 2.730000+2 5.486047+6 2.740000+2 5.462049+6710023522 1911 2.754229+2 5.428771+6 2.770000+2 5.392770+6 2.786121+2 5.356971+6710023522 1912 2.800000+2 5.325829+6 2.818383+2 5.285730+6 2.837800+2 5.244520+6710023522 1913 2.851018+2 5.217225+6 2.880000+2 5.159035+6 2.884032+2 5.151158+6710023522 1914 2.900000+2 5.120562+6 2.917427+2 5.086042+6 2.951209+2 5.021890+6710023522 1915 2.990000+2 4.948723+6 3.000000+2 4.930433+6 3.030000+2 4.877079+6710023522 1916 3.080000+2 4.792115+6 3.090295+2 4.775383+6 3.100000+2 4.758745+6710023522 1917 3.126079+2 4.714742+6 3.130000+2 4.708214+6 3.162278+2 4.655821+6710023522 1918 3.198895+2 4.595931+6 3.200000+2 4.594156+6 3.235937+2 4.537856+6710023522 1919 3.311311+2 4.425904+6 3.350000+2 4.369115+6 3.388442+2 4.312172+6710023522 1920 3.427678+2 4.256193+6 3.470000+2 4.198145+6 3.507519+2 4.147985+6710023522 1921 3.548134+2 4.093190+6 3.550000+2 4.090723+6 3.550500+2 4.090059+6710023522 1922 3.550500+2 4.354013+6 3.589219+2 4.302244+6 3.600000+2 4.287942+6710023522 1923 3.630781+2 4.246360+6 3.672823+2 4.191425+6 3.700000+2 4.156757+6710023522 1924 3.758374+2 4.083942+6 3.780000+2 4.057715+6 3.801894+2 4.030408+6710023522 1925 3.820000+2 4.008011+6 3.845918+2 3.976084+6 3.850000+2 3.971119+6710023522 1926 3.935501+2 3.868054+6 4.000000+2 3.793210+6 4.027170+2 3.762824+6710023522 1927 4.050000+2 3.736941+6 4.073803+2 3.710029+6 4.100000+2 3.680681+6710023522 1928 4.101900+2 3.678507+6 4.101900+2 3.738552+6 4.120975+2 3.716871+6710023522 1929 4.183900+2 3.647572+6 4.216965+2 3.611927+6 4.265795+2 3.560310+6710023522 1930 4.315191+2 3.508147+6 4.365158+2 3.456658+6 4.415704+2 3.405905+6710023522 1931 4.466836+2 3.355017+6 4.518559+2 3.304583+6 4.600000+2 3.227943+6710023522 1932 4.650000+2 3.181445+6 4.677351+2 3.156242+6 4.700000+2 3.135717+6710023522 1933 4.731513+2 3.107355+6 4.786301+2 3.058532+6 4.841724+2 3.010593+6710023522 1934 4.850000+2 3.003586+6 4.897788+2 2.963202+6 4.954502+2 2.916322+6710023522 1935 4.978500+2 2.896479+6 4.978500+2 2.971805+6 5.011872+2 2.944431+6710023522 1936 5.080000+2 2.888325+6 5.128614+2 2.849283+6 5.188000+2 2.803125+6710023522 1937 5.230000+2 2.771338+6 5.248075+2 2.757683+6 5.300000+2 2.718407+6710023522 1938 5.308844+2 2.711767+6 5.370318+2 2.666456+6 5.400000+2 2.645143+6710023522 1939 5.432503+2 2.621746+6 5.495409+2 2.577042+6 5.500000+2 2.573842+6710023522 1940 5.559043+2 2.532849+6 5.623413+2 2.489662+6 5.688529+2 2.446678+6710023522 1941 5.754399+2 2.403864+6 5.821032+2 2.361654+6 5.888437+2 2.319868+6710023522 1942 5.956621+2 2.279088+6 6.000000+2 2.253853+6 6.025596+2 2.238989+6710023522 1943 6.237348+2 2.119935+6 6.309573+2 2.081429+6 6.382635+2 2.042828+6710023522 1944 6.456542+2 2.005129+6 6.500000+2 1.983217+6 6.531306+2 1.967688+6710023522 1945 6.606934+2 1.931115+6 6.683439+2 1.895098+6 6.700000+2 1.887247+6710023522 1946 6.760830+2 1.858779+6 6.839116+2 1.823301+6 6.918310+2 1.788680+6710023522 1947 7.000000+2 1.753910+6 7.079458+2 1.720724+6 7.161434+2 1.687216+6710023522 1948 7.244360+2 1.654431+6 7.300000+2 1.632846+6 7.328245+2 1.622038+6710023522 1949 7.413102+2 1.590022+6 7.500000+2 1.558404+6 7.585776+2 1.527801+6710023522 1950 7.673615+2 1.497193+6 7.800000+2 1.455042+6 7.852356+2 1.438041+6710023522 1951 7.943282+2 1.409069+6 8.035261+2 1.380409+6 8.222426+2 1.324825+6710023522 1952 8.413951+2 1.270899+6 8.511380+2 1.244911+6 8.609938+2 1.219000+6710023522 1953 8.709636+2 1.193731+6 8.912509+2 1.144284+6 9.120108+2 1.096702+6710023522 1954 9.225714+2 1.073460+6 9.332543+2 1.050637+6 9.500000+2 1.016182+6710023522 1955 9.549926+2 1.006259+6 9.660509+2 9.847683+5 9.772372+2 9.635824+5710023522 1956 1.000000+3 9.222806+5 1.011579+3 9.021000+5 1.023293+3 8.824275+5710023522 1957 1.047129+3 8.444697+5 1.059254+3 8.259822+5 1.071519+3 8.077421+5710023522 1958 1.083927+3 7.898149+5 1.096478+3 7.723389+5 1.109175+3 7.552066+5710023522 1959 1.110000+3 7.541148+5 1.122018+3 7.384488+5 1.150000+3 7.035417+5710023522 1960 1.161449+3 6.899262+5 1.174898+3 6.743082+5 1.188502+3 6.590900+5710023522 1961 1.202264+3 6.442587+5 1.216186+3 6.297375+5 1.230269+3 6.153837+5710023522 1962 1.244515+3 6.012499+5 1.273503+3 5.740612+5 1.288250+3 5.609095+5710023522 1963 1.300000+3 5.507764+5 1.303167+3 5.480955+5 1.318257+3 5.355442+5710023522 1964 1.333521+3 5.230791+5 1.380384+3 4.872880+5 1.396368+3 4.759690+5710023522 1965 1.400000+3 4.734431+5 1.428894+3 4.540659+5 1.445440+3 4.434226+5710023522 1966 1.450000+3 4.405477+5 1.513561+3 4.028204+5 1.531087+3 3.933121+5710023522 1967 1.548817+3 3.840494+5 1.570000+3 3.732586+5 1.584893+3 3.658843+5710023522 1968 1.597800+3 3.596749+5 1.597800+3 1.077158+6 1.603245+3 1.069944+6710023522 1969 1.621810+3 1.045851+6 1.640590+3 1.022279+6 1.642000+3 1.020542+6710023522 1970 1.644000+3 1.019803+6 1.650800+3 1.013242+6 1.650800+3 1.333685+6710023522 1971 1.662000+3 1.330303+6 1.678804+3 1.325808+6 1.717908+3 1.317813+6710023522 1972 1.725000+3 1.316719+6 1.750000+3 1.309983+6 1.757924+3 1.307265+6710023522 1973 1.760000+3 1.306505+6 1.778279+3 1.297869+6 1.798871+3 1.285780+6710023522 1974 1.800000+3 1.284670+6 1.819701+3 1.261409+6 1.820000+3 1.261062+6710023522 1975 1.840772+3 1.234089+6 1.850000+3 1.218839+6 1.862087+3 1.199266+6710023522 1976 1.905461+3 1.132492+6 1.949845+3 1.069468+6 1.950000+3 1.069256+6710023522 1977 1.972423+3 1.039291+6 2.000000+3 1.004034+6 2.016100+3 9.842314+5710023522 1978 2.016100+3 1.137196+6 2.030000+3 1.118734+6 2.041738+3 1.103455+6710023522 1979 2.065380+3 1.073514+6 2.090000+3 1.043560+6 2.113489+3 1.016599+6710023522 1980 2.137962+3 9.895695+5 2.162719+3 9.632875+5 2.187762+3 9.374139+5710023522 1981 2.213095+3 9.120181+5 2.238721+3 8.873399+5 2.258000+3 8.693936+5710023522 1982 2.258000+3 9.219272+5 2.300000+3 8.835062+5 2.317395+3 8.682761+5710023522 1983 2.344229+3 8.453685+5 2.398833+3 8.016168+5 2.400000+3 8.007189+5710023522 1984 2.426610+3 7.803742+5 2.454709+3 7.594797+5 2.470500+3 7.480379+5710023522 1985 2.470500+3 7.804386+5 2.570396+3 7.122464+5 2.575000+3 7.093123+5710023522 1986 2.600160+3 6.935296+5 2.630268+3 6.751081+5 2.660725+3 6.572054+5710023522 1987 2.691535+3 6.398082+5 2.700000+3 6.350967+5 2.722701+3 6.226764+5710023522 1988 2.818383+3 5.739134+5 2.917427+3 5.292226+5 2.920000+3 5.281183+5710023522 1989 2.951209+3 5.149552+5 2.985383+3 5.009762+5 3.019952+3 4.873866+5710023522 1990 3.090295+3 4.612358+5 3.162278+3 4.365394+5 3.163750+3 4.360549+5710023522 1991 3.220000+3 4.181247+5 3.235937+3 4.132234+5 3.273407+3 4.019711+5710023522 1992 3.311311+3 3.910310+5 3.349654+3 3.803912+5 3.388442+3 3.698955+5710023522 1993 3.400000+3 3.668499+5 3.507519+3 3.401965+5 3.589219+3 3.216185+5710023522 1994 3.630781+3 3.126530+5 3.650000+3 3.086031+5 3.672823+3 3.038887+5710023522 1995 3.758374+3 2.871239+5 3.801894+3 2.791036+5 3.845918+3 2.712900+5710023522 1996 3.890451+3 2.637077+5 3.935501+3 2.563469+5 4.000000+3 2.462936+5710023522 1997 4.027170+3 2.422267+5 4.073803+3 2.354637+5 4.168694+3 2.224875+5710023522 1998 4.216965+3 2.162671+5 4.265795+3 2.101554+5 4.300000+3 2.060232+5710023522 1999 4.315191+3 2.042249+5 4.365158+3 1.984625+5 4.400000+3 1.945838+5710023522 2000 4.466836+3 1.873936+5 4.518559+3 1.820875+5 4.570882+3 1.769260+5710023522 2001 4.623810+3 1.719179+5 4.677351+3 1.670100+5 4.786301+3 1.576334+5710023522 2002 4.800000+3 1.565048+5 4.897788+3 1.487412+5 4.954502+3 1.444899+5710023522 2003 5.000000+3 1.412016+5 5.011872+3 1.403609+5 5.069907+3 1.363537+5710023522 2004 5.150000+3 1.310857+5 5.188000+3 1.286799+5 5.308844+3 1.214396+5710023522 2005 5.370318+3 1.179605+5 5.495409+3 1.112861+5 5.500000+3 1.110510+5710023522 2006 5.559043+3 1.080722+5 5.623413+3 1.049489+5 5.688529+3 1.019175+5710023522 2007 5.821032+3 9.612109+4 5.888437+3 9.335418+4 5.956621+3 9.066250+4710023522 2008 6.000000+3 8.900313+4 6.025596+3 8.804019+4 6.095369+3 8.547595+4710023522 2009 6.165950+3 8.299016+4 6.237348+3 8.057885+4 6.309573+3 7.823814+4710023522 2010 6.382635+3 7.596666+4 6.456542+3 7.376266+4 6.683439+3 6.751300+4710023522 2011 6.760830+3 6.555527+4 6.800000+3 6.459069+4 6.839116+3 6.364409+4710023522 2012 6.918310+3 6.178775+4 7.079458+3 5.821860+4 7.161434+3 5.651469+4710023522 2013 7.244360+3 5.485869+4 7.300000+3 5.378636+4 7.328245+3 5.325312+4710023522 2014 7.585776+3 4.870492+4 7.673615+3 4.728078+4 7.762471+3 4.588774+4710023522 2015 7.852356+3 4.453691+4 7.943282+3 4.322425+4 8.128305+3 4.071745+4710023522 2016 8.222426+3 3.951682+4 8.300000+3 3.856454+4 8.317638+3 3.835247+4710023522 2017 8.511380+3 3.612626+4 8.609938+3 3.506437+4 8.709636+3 3.402546+4710023522 2018 8.912509+3 3.203035+4 9.225714+3 2.926281+4 9.243200+3 2.911803+4710023522 2019 9.243200+3 7.760790+4 9.332543+3 7.577868+4 9.500000+3 7.251095+4710023522 2020 9.549926+3 7.151343+4 9.660509+3 6.937002+4 9.772372+3 6.729192+4710023522 2021 9.800000+3 6.679198+4 9.885531+3 6.527344+4 1.000000+4 6.331284+4710023522 2022 1.011579+4 6.140841+4 1.023293+4 5.952220+4 1.035142+4 5.769241+4710023522 2023 1.037300+4 5.736756+4 1.037300+4 7.903556+4 1.047129+4 7.716108+4710023522 2024 1.059254+4 7.493396+4 1.065000+4 7.391025+4 1.071519+4 7.272391+4710023522 2025 1.084500+4 7.043925+4 1.084500+4 8.150373+4 1.096478+4 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