75-Re Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 7.500000+4 1.846010+2 -1 0 0 37500 1451 1 0.0 0.0 0 0 0 67500 1451 2 0.0 0.0 0 0 3 67500 1451 3 0.0 0.0 0 0 154 347500 1451 4 75-RE LLNL Eval-Jul97 D.E.Cullen, et al. 7500 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 7500 1451 6 ---- ENDF/B-VI MATERIAL 7500 7500 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 7500 1451 8 ------ ENDF/B-6 7500 1451 9 =================================================================7500 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 7500 1451 11 ENDF/B-VI format 7500 1451 12 =================================================================7500 1451 13 Contents 7500 1451 14 =================================================================7500 1451 15 MF/MT Description 7500 1451 16 =================================================================7500 1451 17 23/501 Total cross sections 7500 1451 18 23/502 Coherent scattering cross sections 7500 1451 19 23/504 Incoherent scattering cross sections 7500 1451 20 23/515 Pair production cross sections, Electron field 7500 1451 21 23/516 Pair production cross sections, Total 7500 1451 22 23/517 Pair production cross sections, Nuclear field 7500 1451 23 23/522 Total photoionization cross section 7500 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 7500 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 7500 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 7500 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 7500 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 7500 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 7500 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 7500 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 7500 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 7500 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 7500 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 7500 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 7500 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 7500 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 7500 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 7500 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 7500 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 7500 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 7500 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 7500 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 7500 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 7500 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 7500 1451 46 =================================================================7500 1451 47 27/502 Coherent scattering form factors 7500 1451 48 27/504 Incoherent scattering functions 7500 1451 49 27/505 Imaginary anomalous scattering factor 7500 1451 50 27/506 Real anomalous scattering factor 7500 1451 51 =================================================================7500 1451 52 Warning 7500 1451 53 =================================================================7500 1451 54 MF/MT combinations used to define photoionization subshell cross7500 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 7500 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7500 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7500 1451 58 If you are not prepared to use this data you need merely delete 7500 1451 59 it and all of the remaining data will still be consistent and 7500 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 7500 1451 61 However, this will limit the range of problems to which this 7500 1451 62 data can be applied (see: ref. 1 for details). 7500 1451 63 =================================================================7500 1451 64 Definition of new types of data 7500 1451 65 =================================================================7500 1451 66 1) The total photoionization cross section is equal to the sum 7500 1451 67 of the photoionization subshell cross sections. 7500 1451 68 7500 1451 69 For each subshell on the second line of a section the C1 and 7500 1451 70 C2 fields are defined as, 7500 1451 71 7500 1451 72 EPE = The photoionization edge energy (similar to Q-value) 7500 1451 73 EFL = The fluorescence yield (eV/photoionization) 7500 1451 74 7500 1451 75 2) The angular distribution of coherently scattered photons is, 7500 1451 76 7500 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7500 1451 78 7500 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 7500 1451 80 T = The Thomson cross section 7500 1451 81 MU = The cosine of the scattering angle 7500 1451 82 FF(M) = The atomic form factor 7500 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7500 1451 84 F1(E) = The real anomalous scattering factor 7500 1451 85 F2(E) = The imaginary anomalous scattering factor 7500 1451 86 7500 1451 87 F1(E) and F2(E) are isotropic. 7500 1451 88 7500 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 7500 1451 90 using only form factors (the older ENDF/B convention). 7500 1451 91 =================================================================7500 1451 92 Differences between EPDL97 and the data base presented here 7500 1451 93 =================================================================7500 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 7500 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 7500 1451 96 2) Type of Data - EPDL97 - Photon interaction including 7500 1451 97 photoexcitation 7500 1451 98 Here - Photon interaction - ENDF/B-VI has 7500 1451 99 no provision for photoexcitation 7500 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 7500 1451 101 (photons, electrons, positrons) 7500 1451 102 HERE - No secondary energy data 7500 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7500 1451 104 interpolable - the total cross 7500 1451 105 section is not included 7500 1451 106 - Form factors and scattering functions 7500 1451 107 are Log X vs. Log y, except first 7500 1451 108 interval. 7500 1451 109 - Anomalous scattering factors linearly 7500 1451 110 interpolable (they can be negative) 7500 1451 111 Here - Up through ENDF/B-V photon interaction7500 1451 112 cross sections were Log X vs. Log Y. 7500 1451 113 - For the first two Mods. of ENDF/B-VI 7500 1451 114 in order to consistently define the 7500 1451 115 total cross sections at ALL energies 7500 1451 116 all cross sections were linearized. 7500 1451 117 This was NOT a good idea. 7500 1451 118 - Starting with Mod. 3, cross sections 7500 1451 119 are left in Log X vs. Log. Y form so 7500 1451 120 that they are IDENTICAL to what's in 7500 1451 121 EPDL97. 7500 1451 122 The total is defined ONLY at the 7500 1451 123 energies tabulated in any other cross 7500 1451 124 section. 7500 1451 125 WARNING - As a result the total cross section 7500 1451 126 MUST NOT be interpolated to define the7500 1451 127 total between tabulated energies. The 7500 1451 128 ONLY consist way to define the total 7500 1451 129 between tabulated energies is to 7500 1451 130 interpolate all of the partials and 7500 1451 131 add them up. 7500 1451 132 =================================================================7500 1451 133 References 7500 1451 134 =================================================================7500 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7500 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7500 1451 137 graphs of photon interaction cross sections from 10 eV to 100 7500 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7500 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7500 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7500 1451 141 7500 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7500 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7500 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 7500 1451 145 7500 1451 146 These are the primary references to the contents of this library7500 1451 147 and they contain a complete list of references to the sources 7500 1451 148 of data used in this library, methods of evaluation, accuracy 7500 1451 149 of the data, etc. 7500 1451 150 =================================================================7500 1451 151 History 7500 1451 152 =================================================================7500 1451 153 Mod. 1 - October, 1989 - Initial release. 7500 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 7500 1451 155 subshell cross sections. 7500 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 7500 1451 157 =================================================================7500 1451 158 1 451 192 37500 1451 159 23 501 864 37500 1451 160 23 502 378 37500 1451 161 23 504 40 37500 1451 162 23 515 34 37500 1451 163 23 516 54 37500 1451 164 23 517 41 37500 1451 165 23 522 418 37500 1451 166 23 534 19 37500 1451 167 23 535 23 37500 1451 168 23 536 23 37500 1451 169 23 537 22 37500 1451 170 23 538 26 37500 1451 171 23 539 28 37500 1451 172 23 540 28 37500 1451 173 23 541 31 37500 1451 174 23 542 30 37500 1451 175 23 543 28 37500 1451 176 23 544 32 37500 1451 177 23 545 32 37500 1451 178 23 546 46 37500 1451 179 23 547 46 37500 1451 180 23 548 57 37500 1451 181 23 549 56 37500 1451 182 23 550 36 37500 1451 183 23 551 44 37500 1451 184 23 552 43 37500 1451 185 23 553 62 37500 1451 186 23 554 62 37500 1451 187 23 559 43 37500 1451 188 27 502 51 37500 1451 189 27 504 53 37500 1451 190 27 505 149 37500 1451 191 27 506 113 37500 1451 192 7500 1 0 193 7500 0 0 194 7.500000+4 1.846010+2 0 0 0 0750023501 195 0.0 0.0 0 0 1 2581750023501 196 2581 5 750023501 197 1.000000+0 8.789914-3 1.069950+0 1.166523-2 1.137867+0 1.508283-2750023501 198 1.210094+0 1.960055-2 1.258900+0 2.327356-2 1.286907+0 2.560787-2750023501 199 1.368596+0 3.363171-2 1.455469+0 4.440155-2 1.500953+0 5.114744-2750023501 200 1.584900+0 6.540561-2 1.646110+0 7.762014-2 1.697551+0 8.944564-2750023501 201 1.750600+0 1.032999-1 1.805306+0 1.195693-1 1.861722+0 1.387225-1750023501 202 1.919900+0 1.613317-1 1.979897+0 1.881340-1 1.995300+0 1.957139-1750023501 203 2.105574+0 2.574532-1 2.170084+0 3.014201-1 2.232578+0 3.507209-1750023501 204 2.351769+0 4.648778-1 2.408585+0 5.304289-1 2.463626+0 6.025468-1750023501 205 2.511900+0 6.738420-1 2.516947+0 6.816819-1 2.568601+0 7.682477-1750023501 206 2.618642+0 8.626672-1 2.667118+0 9.653727-1 2.714080+0 1.076806+0750023501 207 2.759574+0 1.197417+0 2.846342+0 1.467911+0 2.927771+0 1.778320+0750023501 208 3.004191+0 2.132789+0 3.075909+0 2.537225+0 3.110096+0 2.761371+0750023501 209 3.162300+0 3.147345+0 3.176333+0 3.258804+0 3.238431+0 3.816171+0750023501 210 3.296647+0 4.440628+0 3.351225+0 5.136980+0 3.402392+0 5.910109+0750023501 211 3.450361+0 6.764978+0 3.495332+0 7.706621+0 3.537492+0 8.740071+0750023501 212 3.577017+0 9.869919+0 3.614072+0 1.110031+1 3.648810+0 1.243635+1750023501 213 3.681378+0 1.388420+1 3.711910+0 1.544977+1 3.740534+0 1.713857+1750023501 214 3.767369+0 1.895618+1 3.792527+0 2.090821+1 3.816112+0 2.299950+1750023501 215 3.840000+0 2.542708+1 3.858953+0 2.761860+1 3.878387+0 3.015807+1750023501 216 3.896606+0 3.285880+1 3.913686+0 3.572628+1 3.929699+0 3.876595+1750023501 217 3.944711+0 4.198339+1 3.958785+0 4.538443+1 3.971980+0 4.897526+1750023501 218 3.981100+0 5.174132+1 3.984349+0 5.276242+1 3.995946+0 5.675269+1750023501 219 4.006817+0 6.095296+1 4.017010+0 6.537036+1 4.026565+0 7.001257+1750023501 220 4.035523+0 7.488860+1 4.043921+0 8.000953+1 4.059668+0 9.144592+1750023501 221 4.073446+0 1.041567+2 4.085502+0 1.183302+2 4.096051+0 1.341122+2750023501 222 4.105281+0 1.515289+2 4.113358+0 1.704446+2 4.120425+0 1.905694+2750023501 223 4.126608+0 2.115050+2 4.132019+0 2.328055+2 4.136753+0 2.540333+2750023501 224 4.144520+0 2.947857+2 4.155621+0 3.676561+2 4.171738+0 5.083364+2750023501 225 4.180157+0 5.988391+2 4.185289+0 6.593202+2 4.190421+0 7.233344+2750023501 226 4.200684+0 8.593946+2 4.201967+0 8.769043+2 4.210948+0 1.000203+3750023501 227 4.214476+0 1.048095+3 4.221212+0 1.136523+3 4.224740+0 1.180414+3750023501 228 4.228108+0 1.220197+3 4.231475+0 1.257512+3 4.235966+0 1.302752+3750023501 229 4.240296+0 1.340742+3 4.244305+0 1.370349+3 4.247673+0 1.390698+3750023501 230 4.252644+0 1.412630+3 4.258658+0 1.425451+3 4.263209+0 1.424789+3750023501 231 4.269471+0 1.409126+3 4.274525+0 1.384269+3 4.279371+0 1.350679+3750023501 232 4.284238+0 1.307999+3 4.286275+0 1.287680+3 4.293378+0 1.206800+3750023501 233 4.297968+0 1.147453+3 4.301314+0 1.101401+3 4.305727+0 1.037817+3750023501 234 4.309164+0 9.866019+2 4.313585+0 9.193747+2 4.318075+0 8.503661+2750023501 235 4.322766+0 7.784861+2 4.328980+0 6.851697+2 4.333470+0 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4.591095+0 6.366713+2 4.599519+0 7.973411+2750023501 249 4.607942+0 9.927976+2 4.615242+0 1.193107+3 4.620454+0 1.354705+3750023501 250 4.630405+0 1.707178+3 4.636422+0 1.947842+3 4.647778+0 2.453483+3750023501 251 4.649197+0 2.520839+3 4.659134+0 3.011854+3 4.663037+0 3.211475+3750023501 252 4.671494+0 3.648136+3 4.675026+0 3.829252+3 4.680072+0 4.083381+3750023501 253 4.683317+0 4.242247+3 4.688811+0 4.499891+3 4.692502+0 4.662810+3750023501 254 4.697776+0 4.878107+3 4.702651+0 5.055505+3 4.705268+0 5.141115+3750023501 255 4.711922+0 5.325079+3 4.717118+0 5.432198+3 4.722585+0 5.507775+3750023501 256 4.728025+0 5.543645+3 4.739153+0 5.493263+3 4.742209+0 5.450939+3750023501 257 4.750457+0 5.279430+3 4.754612+0 5.163673+3 4.759236+0 5.014211+3750023501 258 4.762208+0 4.907716+3 4.767539+0 4.698816+3 4.771409+0 4.534796+3750023501 259 4.776939+0 4.285976+3 4.782717+0 4.012714+3 4.789728+0 3.670515+3750023501 260 4.795406+0 3.390768+3 4.801794+0 3.079135+3 4.806762+0 2.842377+3750023501 261 4.818118+0 2.331605+3 4.822022+0 2.168410+3 4.829475+0 1.877337+3750023501 262 4.837992+0 1.579769+3 4.847858+0 1.282946+3 4.857601+0 1.038579+3750023501 263 4.879506+0 6.430039+2 4.887464+0 5.422812+2 4.894924+0 4.640487+2750023501 264 4.901919+0 4.026790+2 4.908476+0 3.539781+2 4.914623+0 3.148447+2750023501 265 4.926149+0 2.550953+2 4.936235+0 2.140069+2 4.945060+0 1.844090+2750023501 266 4.960503+0 1.429713+2 4.983668+0 9.803870+1 4.993803+0 8.355202+1750023501 267 5.000318+0 7.585255+1 5.003576+0 7.249474+1 5.007603+0 6.881487+1750023501 268 5.011575+0 6.571701+1 5.011900+0 6.550373+1 5.015366+0 6.327257+1750023501 269 5.019157+0 6.135054+1 5.025319+0 5.939815+1 5.028400+0 5.899098+1750023501 270 5.031481+0 5.897827+1 5.043804+0 6.306472+1 5.046335+0 6.475133+1750023501 271 5.048783+0 6.666370+1 5.054292+0 7.197676+1 5.057959+0 7.628427+1750023501 272 5.061422+0 8.090868+1 5.070446+0 9.538548+1 5.084453+0 1.239221+2750023501 273 5.091228+0 1.397413+2 5.098346+0 1.572307+2 5.104443+0 1.725451+2750023501 274 5.111777+0 1.908700+2 5.117327+0 2.043190+2 5.120277+0 2.112212+2750023501 275 5.125781+0 2.234833+2 5.130840+0 2.338795+2 5.142394+0 2.536365+2750023501 276 5.147135+0 2.598737+2 5.154717+0 2.673296+2 5.158954+0 2.700944+2750023501 277 5.162997+0 2.717830+2 5.167041+0 2.725479+2 5.172433+0 2.721593+2750023501 278 5.175899+0 2.710868+2 5.179365+0 2.693980+2 5.185527+0 2.649652+2750023501 279 5.191688+0 2.588664+2 5.197850+0 2.513208+2 5.204012+0 2.425666+2750023501 280 5.207093+0 2.378135+2 5.214025+0 2.264008+2 5.216336+0 2.224212+2750023501 281 5.228659+0 2.003522+2 5.231740+0 1.947391+2 5.240983+0 1.780395+2750023501 282 5.253307+0 1.567734+2 5.281889+0 1.154576+2 5.291292+0 1.047006+2750023501 283 5.300400+0 9.555861+1 5.309224+0 8.779926+1 5.317772+0 8.119978+1750023501 284 5.334335+0 7.056158+1 5.349862+0 6.259947+1 5.364418+0 5.642653+1750023501 285 5.378065+0 5.147490+1 5.403653+0 4.369742+1 5.493210+0 2.348680+1750023501 286 5.515599+0 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1.819701+4 2.621307+4750023522 1841 1.862087+4 2.467236+4 1.883649+4 2.393858+4 1.905461+4 2.322718+4750023522 1842 1.927525+4 2.253604+4 1.949845+4 2.186600+4 1.972423+4 2.121647+4750023522 1843 1.980000+4 2.100453+4 2.000000+4 2.045487+4 2.018366+4 1.996718+4750023522 1844 2.041738+4 1.936984+4 2.065380+4 1.878425+4 2.113489+4 1.766660+4750023522 1845 2.162719+4 1.661709+4 2.187762+4 1.611646+4 2.213095+4 1.563059+4750023522 1846 2.238721+4 1.515975+4 2.264644+4 1.470307+4 2.290868+4 1.425733+4750023522 1847 2.317395+4 1.382540+4 2.344229+4 1.340654+4 2.371374+4 1.300071+4750023522 1848 2.426610+4 1.222630+4 2.483133+4 1.149922+4 2.511886+4 1.115250+4750023522 1849 2.540973+4 1.081303+4 2.570396+4 1.048409+4 2.600160+4 1.016533+4750023522 1850 2.630268+4 9.854049+3 2.650000+4 9.657187+3 2.660725+4 9.552389+3750023522 1851 2.691535+4 9.260016+3 2.722701+4 8.976581+3 2.754229+4 8.702033+3750023522 1852 2.786121+4 8.436055+3 2.818383+4 8.178400+3 2.851018+4 7.928206+3750023522 1853 2.884032+4 7.685852+3 2.917427+4 7.451084+3 2.985383+4 7.000671+3750023522 1854 3.000000+4 6.908765+3 3.019952+4 6.785982+3 3.054921+4 6.578028+3750023522 1855 3.090295+4 6.376531+3 3.126079+4 6.181359+3 3.150000+4 6.055391+3750023522 1856 3.162278+4 5.992072+3 3.198895+4 5.808628+3 3.235937+4 5.629676+3750023522 1857 3.311311+4 5.286627+3 3.349654+4 5.123212+3 3.388442+4 4.964961+3750023522 1858 3.400000+4 4.919121+3 3.467369+4 4.663046+3 3.507519+4 4.519158+3750023522 1859 3.548134+4 4.379819+3 3.589219+4 4.244856+3 3.630781+4 4.114135+3750023522 1860 3.672823+4 3.987011+3 3.715352+4 3.863695+3 3.758374+4 3.744287+3750023522 1861 3.801894+4 3.628049+3 3.845918+4 3.515482+3 3.890451+4 3.406490+3750023522 1862 3.935501+4 3.300948+3 4.027170+4 3.098720+3 4.120975+4 2.909126+3750023522 1863 4.168694+4 2.818827+3 4.216965+4 2.731386+3 4.300000+4 2.588838+3750023522 1864 4.315191+4 2.563865+3 4.415704+4 2.406543+3 4.466836+4 2.331612+3750023522 1865 4.518559+4 2.259067+3 4.570882+4 2.188596+3 4.623810+4 2.120375+3750023522 1866 4.677351+4 2.054263+3 4.841724+4 1.868267+3 4.897788+4 1.809970+3750023522 1867 4.954502+4 1.753139+3 5.069907+4 1.644886+3 5.128614+4 1.593249+3750023522 1868 5.248075+4 1.494858+3 5.308844+4 1.448011+3 5.432503+4 1.358759+3750023522 1869 5.495409+4 1.316227+3 5.623413+4 1.235183+3 5.688529+4 1.196589+3750023522 1870 5.821032+4 1.122887+3 5.888437+4 1.087534+3 6.025596+4 1.020028+3750023522 1871 6.095369+4 9.878546+2 6.165950+4 9.566896+2 6.237348+4 9.265269+2750023522 1872 6.309573+4 8.973312+2 6.500000+4 8.261919+2 6.531306+4 8.152411+2750023522 1873 6.606934+4 7.895960+2 6.918310+4 6.949748+2 7.079458+4 6.517932+2750023522 1874 7.161434+4 6.312345+2 7.185600+4 6.253372+2 7.185600+4 3.147863+3750023522 1875 7.244360+4 3.079949+3 7.270000+4 3.050946+3 7.328245+4 2.989468+3750023522 1876 7.380000+4 2.936265+3 7.413102+4 2.905511+3 7.450000+4 2.871758+3750023522 1877 7.498942+4 2.822209+3 7.585776+4 2.737161+3 7.700000+4 2.630575+3750023522 1878 7.943282+4 2.432895+3 8.000000+4 2.389822+3 8.222426+4 2.222814+3750023522 1879 8.413951+4 2.091502+3 8.609938+4 1.967946+3 8.709636+4 1.908941+3750023522 1880 8.800000+4 1.857552+3 8.912509+4 1.796853+3 9.120108+4 1.691865+3750023522 1881 9.660509+4 1.455561+3 9.772372+4 1.412436+3 9.800000+4 1.402058+3750023522 1882 9.885531+4 1.370555+3 1.000000+5 1.329907+3 1.011580+5 1.289557+3750023522 1883 1.023293+5 1.250438+3 1.035142+5 1.212501+3 1.047129+5 1.175715+3750023522 1884 1.059254+5 1.140051+3 1.071519+5 1.105471+3 1.083927+5 1.071940+3750023522 1885 1.109175+5 1.007911+3 1.122019+5 9.773489+2 1.188502+5 8.379323+2750023522 1886 1.216186+5 7.878634+2 1.230269+5 7.639654+2 1.258925+5 7.183299+2750023522 1887 1.273503+5 6.965468+2 1.288250+5 6.754260+2 1.303167+5 6.549444+2750023522 1888 1.333521+5 6.154181+2 1.348963+5 5.965599+2 1.364583+5 5.782820+2750023522 1889 1.380384+5 5.605644+2 1.396368+5 5.433911+2 1.412538+5 5.267443+2750023522 1890 1.428894+5 5.106145+2 1.445440+5 4.949793+2 1.513561+5 4.371061+2750023522 1891 1.548817+5 4.107456+2 1.566751+5 3.981694+2 1.603245+5 3.741624+2750023522 1892 1.621810+5 3.627069+2 1.640590+5 3.516029+2 1.659587+5 3.408398+2750023522 1893 1.678804+5 3.304076+2 1.717908+5 3.104943+2 1.757924+5 2.917831+2750023522 1894 1.778279+5 2.828592+2 1.798871+5 2.742082+2 1.800000+5 2.737444+2750023522 1895 1.840772+5 2.576991+2 1.883649+5 2.421860+2 1.905461+5 2.347837+2750023522 1896 1.949845+5 2.206524+2 2.018366+5 2.010366+2 2.041738+5 1.948952+2750023522 1897 2.065380+5 1.889418+2 2.089296+5 1.831706+2 2.113489+5 1.775759+2750023522 1898 2.137962+5 1.721545+2 2.162719+5 1.669007+2 2.187762+5 1.618076+2750023522 1899 2.213095+5 1.568701+2 2.264644+5 1.474434+2 2.290868+5 1.429448+2750023522 1900 2.317395+5 1.385837+2 2.371374+5 1.303384+2 2.398833+5 1.264018+2750023522 1901 2.426610+5 1.225843+2 2.454709+5 1.188826+2 2.483133+5 1.152943+2750023522 1902 2.511886+5 1.118154+2 2.540973+5 1.084464+2 2.600160+5 1.020110+2750023522 1903 2.660725+5 9.595806+1 2.691535+5 9.306776+1 2.754229+5 8.754606+1750023522 1904 2.786121+5 8.490949+1 2.800000+5 8.379631+1 2.818383+5 8.237137+1750023522 1905 2.851018+5 7.992415+1 2.917427+5 7.524581+1 2.951209+5 7.301150+1750023522 1906 3.019952+5 6.874051+1 3.054921+5 6.669982+1 3.090295+5 6.471976+1750023522 1907 3.126079+5 6.280195+1 3.162278+5 6.094104+1 3.198895+5 5.913555+1750023522 1908 3.235937+5 5.738433+1 3.311311+5 5.408468+1 3.349654+5 5.250677+1750023522 1909 3.388442+5 5.097562+1 3.467369+5 4.804644+1 3.507519+5 4.664568+1750023522 1910 3.548134+5 4.528580+1 3.589219+5 4.396574+1 3.590900+5 4.391287+1750023522 1911 3.630781+5 4.268472+1 3.672823+5 4.144112+1 3.715352+5 4.023643+1750023522 1912 3.801894+5 3.797054+1 3.845918+5 3.688649+1 3.890451+5 3.583354+1750023522 1913 3.935501+5 3.481066+1 3.981072+5 3.381703+1 4.027170+5 3.285191+1750023522 1914 4.073803+5 3.191475+1 4.216965+5 2.926080+1 4.265795+5 2.844265+1750023522 1915 4.315191+5 2.764902+1 4.365158+5 2.687798+1 4.415705+5 2.612851+1750023522 1916 4.466836+5 2.540006+1 4.518559+5 2.469228+1 4.570882+5 2.400421+1750023522 1917 4.623810+5 2.333534+1 4.677351+5 2.268512+1 4.786301+5 2.143856+1750023522 1918 4.841724+5 2.085291+1 4.897788+5 2.028513+1 4.954502+5 1.973295+1750023522 1919 5.011872+5 1.919609+1 5.069907+5 1.867385+1 5.188000+5 1.767164+1750023522 1920 5.248075+5 1.719089+1 5.308844+5 1.672324+1 5.370318+5 1.626831+1750023522 1921 5.432503+5 1.583515+1 5.495409+5 1.541380+1 5.559043+5 1.500511+1750023522 1922 5.623413+5 1.460728+1 5.688529+5 1.422001+1 5.821032+5 1.347602+1750023522 1923 5.888437+5 1.311876+1 6.000000+5 1.255654+1 6.025596+5 1.243242+1750023522 1924 6.095369+5 1.211035+1 6.165950+5 1.179681+1 6.237348+5 1.149161+1750023522 1925 6.309573+5 1.119507+1 6.382635+5 1.090618+1 6.456542+5 1.062476+1750023522 1926 6.531306+5 1.035059+1 6.606935+5 1.008351+1 6.683439+5 9.823328+0750023522 1927 6.760830+5 9.570130+0 6.918310+5 9.094167+0 6.998420+5 8.865149+0750023522 1928 7.079458+5 8.642064+0 7.161434+5 8.425168+0 7.244360+5 8.213718+0750023522 1929 7.328245+5 8.007580+0 7.413102+5 7.806701+0 7.498942+5 7.610990+0750023522 1930 7.585776+5 7.420213+0 7.673615+5 7.238539+0 7.762471+5 7.061319+0750023522 1931 7.852356+5 6.888441+0 7.943282+5 6.719796+0 8.035261+5 6.555875+0750023522 1932 8.128305+5 6.396028+0 8.222427+5 6.240080+0 8.413951+5 5.939505+0750023522 1933 8.511380+5 5.798303+0 8.609938+5 5.660458+0 8.709636+5 5.526043+0750023522 1934 8.810489+5 5.394826+0 8.912509+5 5.266729+0 9.015711+5 5.142176+0750023522 1935 9.120108+5 5.020626+0 9.225714+5 4.901951+0 9.332543+5 4.786104+0750023522 1936 9.440609+5 4.676175+0 9.549926+5 4.568778+0 9.660509+5 4.463850+0750023522 1937 9.772372+5 4.361403+0 9.885531+5 4.261329+0 1.000000+6 4.163947+0750023522 1938 1.011579+6 4.068902+0 1.023293+6 3.976025+0 1.035142+6 3.885326+0750023522 1939 1.047129+6 3.798549+0 1.059254+6 3.713730+0 1.071519+6 3.630809+0750023522 1940 1.083927+6 3.549732+0 1.096478+6 3.470471+0 1.109175+6 3.393082+0750023522 1941 1.135011+6 3.243454+0 1.148154+6 3.171144+0 1.161449+6 3.100686+0750023522 1942 1.188502+6 2.964439+0 1.202264+6 2.898611+0 1.216186+6 2.835887+0750023522 1943 1.230269+6 2.774523+0 1.250000+6 2.691901+0 1.288250+6 2.542092+0750023522 1944 1.303167+6 2.487097+0 1.318257+6 2.433528+0 1.333521+6 2.381157+0750023522 1945 1.348963+6 2.329909+0 1.364583+6 2.279769+0 1.380384+6 2.232010+0750023522 1946 1.462177+6 2.007834+0 1.479108+6 1.965786+0 1.496236+6 1.924794+0750023522 1947 1.500000+6 1.915963+0 1.513561+6 1.884661+0 1.531087+6 1.845365+0750023522 1948 1.548817+6 1.806885+0 1.584893+6 1.734346+0 1.603245+6 1.699177+0750023522 1949 1.640590+6 1.630962+0 1.659587+6 1.597890+0 1.678804+6 1.565625+0750023522 1950 1.698244+6 1.534011+0 1.717908+6 1.503042+0 1.737801+6 1.472719+0750023522 1951 1.778279+6 1.415679+0 1.798871+6 1.387992+0 1.819701+6 1.360848+0750023522 1952 1.840772+6 1.334235+0 1.862087+6 1.308143+0 1.883649+6 1.282680+0750023522 1953 1.905461+6 1.257714+0 1.927525+6 1.233238+0 1.949845+6 1.209260+0750023522 1954 1.972423+6 1.186531+0 2.000000+6 1.159687+0 2.018366+6 1.142347+0750023522 1955 2.041738+6 1.120877+0 2.044000+6 1.118833+0 2.089296+6 1.079139+0750023522 1956 2.113489+6 1.058935+0 2.137962+6 1.039109+0 2.162719+6 1.019656+0750023522 1957 2.213095+6 9.818380-1 2.238721+6 9.634705-1 2.264644+6 9.454530-1750023522 1958 2.290868+6 9.282205-1 2.317395+6 9.113024-1 2.344229+6 8.946935-1750023522 1959 2.371374+6 8.783872-1 2.398833+6 8.623782-1 2.426610+6 8.466611-1750023522 1960 2.454709+6 8.312918-1 2.483133+6 8.162022-1 2.511886+6 8.013880-1750023522 1961 2.570396+6 7.725615-1 2.600160+6 7.585492-1 2.630268+6 7.447967-1750023522 1962 2.660725+6 7.316527-1 2.691535+6 7.187405-1 2.722701+6 7.060570-1750023522 1963 2.754229+6 6.935970-1 2.786121+6 6.813573-1 2.818383+6 6.693333-1750023522 1964 2.851018+6 6.575718-1 2.884032+6 6.460169-1 2.951209+6 6.235168-1750023522 1965 3.000000+6 6.079849-1 3.019952+6 6.018195-1 3.054921+6 5.915894-1750023522 1966 3.090295+6 5.815332-1 3.126079+6 5.716484-1 3.162278+6 5.619314-1750023522 1967 3.198895+6 5.523799-1 3.235937+6 5.430304-1 3.311311+6 5.248046-1750023522 1968 3.388442+6 5.071925-1 3.467369+6 4.901838-1 3.507519+6 4.818980-1750023522 1969 3.548134+6 4.739798-1 3.589219+6 4.661918-1 3.630781+6 4.585318-1750023522 1970 3.672823+6 4.509979-1 3.715352+6 4.435879-1 3.758374+6 4.363305-1750023522 1971 3.845918+6 4.221705-1 3.935501+6 4.084719-1 4.027170+6 3.952275-1750023522 1972 4.073803+6 3.887697-1 4.120975+6 3.825912-1 4.168694+6 3.765108-1750023522 1973 4.265795+6 3.646391-1 4.315191+6 3.588443-1 4.365158+6 3.531417-1750023522 1974 4.415704+6 3.475532-1 4.518559+6 3.366404-1 4.623810+6 3.260716-1750023522 1975 4.731513+6 3.158419-1 4.786301+6 3.108502-1 4.841724+6 3.060748-1750023522 1976 4.897788+6 3.013729-1 5.011872+6 2.921850-1 5.069907+6 2.876966-1750023522 1977 5.128614+6 2.832772-1 5.188000+6 2.789435-1 5.308844+6 2.704742-1750023522 1978 5.432503+6 2.622631-1 5.623413+6 2.504197-1 5.688529+6 2.465935-1750023522 1979 5.754399+6 2.429292-1 5.821032+6 2.393193-1 5.956621+6 2.322601-1750023522 1980 6.025596+6 2.288089-1 6.095369+6 2.254090-1 6.165950+6 2.220730-1750023522 1981 6.309573+6 2.155487-1 6.456542+6 2.092168-1 6.760830+6 1.971133-1750023522 1982 6.839116+6 1.941995-1 6.918310+6 1.913976-1 7.000000+6 1.885823-1750023522 1983 7.244360+6 1.805887-1 7.328245+6 1.779833-1 7.413102+6 1.754155-1750023522 1984 7.498942+6 1.728944-1 7.585776+6 1.704096-1 7.762471+6 1.655468-1750023522 1985 7.852356+6 1.631680-1 8.128305+6 1.562396-1 8.222427+6 1.539971-1750023522 1986 8.317638+6 1.518462-1 8.413951+6 1.497253-1 8.609938+6 1.455722-1750023522 1987 8.709636+6 1.435391-1 8.810489+6 1.415343-1 8.912509+6 1.395592-1750023522 1988 9.015711+6 1.376175-1 9.120108+6 1.357029-1 9.440609+6 1.301175-1750023522 1989 9.549926+6 1.283074-1 1.000000+7 1.213205-1 1.011579+7 1.196775-1750023522 1990 1.023293+7 1.180566-1 1.047129+7 1.148806-1 1.059254+7 1.133248-1750023522 1991 1.083927+7 1.102782-1 1.109175+7 1.073206-1 1.202264+7 9.758026-2750023522 1992 1.230269+7 9.496353-2 1.288250+7 8.994203-2 1.303167+7 8.875932-2750023522 1993 1.318257+7 8.759219-2 1.333521+7 8.644134-2 1.348963+7 8.530552-2750023522 1994 1.364583+7 8.418777-2 1.513561+7 7.476460-2 1.531087+7 7.378506-2750023522 1995 1.566751+7 7.186432-2 1.640590+7 6.817366-2 1.659587+7 6.730047-2750023522 1996 1.678804+7 6.643849-2 1.698244+7 6.558812-2 1.717908+7 6.474868-2750023522 1997 1.737801+7 6.392199-2 1.972423+7 5.549663-2 2.018366+7 5.408875-2750023522 1998 2.041738+7 5.339826-2 2.065380+7 5.271689-2 2.137962+7 5.072470-2750023522 1999 2.162719+7 5.007750-2 2.187762+7 4.945205-2 2.213095+7 4.883444-2750023522 2000 2.238721+7 4.822495-2 2.264644+7 4.762307-2 2.290868+7 4.703009-2750023522 2001 2.630268+7 4.046511-2 2.722701+7 3.897248-2 2.754229+7 3.848727-2750023522 2002 2.818383+7 3.753528-2 2.951209+7 3.570153-2 2.985383+7 3.525725-2750023522 2003 3.000000+7 3.507392-2 3.019952+7 3.482671-2 3.054921+7 3.440148-2750023522 2004 3.090295+7 3.398170-2 3.126079+7 3.356704-2 3.198895+7 3.275459-2750023522 2005 3.589219+7 2.897806-2 3.758374+7 2.759240-2 3.801894+7 2.725647-2750023522 2006 3.935501+7 2.627335-2 4.168694+7 2.471311-2 4.216965+7 2.441236-2750023522 2007 4.265795+7 2.411963-2 4.315191+7 2.383046-2 4.365158+7 2.354478-2750023522 2008 4.415704+7 2.326264-2 4.518559+7 2.270848-2 4.677351+7 2.190319-2750023522 2009 5.559043+7 1.828542-2 5.821032+7 1.742604-2 6.000000+7 1.688309-2750023522 2010 6.237348+7 1.621234-2 6.531306+7 1.545070-2 6.606934+7 1.526595-2750023522 2011 6.683439+7 1.508611-2 6.760830+7 1.490839-2 6.918310+7 1.455937-2750023522 2012 7.079458+7 1.421908-2 8.709636+7 1.149301-2 9.332543+7 1.070589-2750023522 2013 9.885531+7 1.009130-2 1.059254+8 9.400324-3 1.122018+8 8.860831-3750023522 2014 1.148154+8 8.653796-3 1.161449+8 8.553113-3 1.174898+8 8.453602-3750023522 2015 1.188502+8 8.355254-3 1.230269+8 8.067093-3 1.273503+8 7.789178-3750023522 2016 1.659587+8 5.953380-3 1.778279+8 5.550267-3 1.905461+8 5.174448-3750023522 2017 2.089296+8 4.712707-3 2.238721+8 4.393657-3 2.290868+8 4.292181-3750023522 2018 2.317395+8 4.242627-3 2.344229+8 4.193647-3 2.371374+8 4.145231-3750023522 2019 2.454709+8 4.003339-3 2.540973+8 3.866392-3 3.311311+8 2.960833-3750023522 2020 3.548134+8 2.761733-3 3.801894+8 2.576023-3 4.168694+8 2.347710-3750023522 2021 4.466836+8 2.189859-3 4.570882+8 2.139637-3 4.623810+8 2.115061-3750023522 2022 4.677351+8 2.090767-3 4.731513+8 2.066752-3 4.897788+8 1.996360-3750023522 2023 5.069907+8 1.928401-3 1.318257+9 7.396849-4 1.412538+9 6.901824-4750023522 2024 1.513561+9 6.439932-4 1.659587+9 5.871825-4 1.778279+9 5.478889-4750023522 2025 1.819701+9 5.353841-4 1.840772+9 5.292524-4 1.862087+9 5.231910-4750023522 2026 1.883649+9 5.171990-4 3.672823+9 2.651592-4 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