32-Ge Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 3.200000+4 7.196650+1 -1 0 0 33200 1451 1 0.0 0.0 0 0 0 63200 1451 2 0.0 0.0 0 0 3 63200 1451 3 0.0 0.0 0 0 144 243200 1451 4 32-GE LLNL Eval-Jul97 D.E.Cullen, et al. 3200 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 3200 1451 6 ---- ENDF/B-VI MATERIAL 3200 3200 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 3200 1451 8 ------ ENDF/B-6 3200 1451 9 =================================================================3200 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 3200 1451 11 ENDF/B-VI format 3200 1451 12 =================================================================3200 1451 13 Contents 3200 1451 14 =================================================================3200 1451 15 MF/MT Description 3200 1451 16 =================================================================3200 1451 17 23/501 Total cross sections 3200 1451 18 23/502 Coherent scattering cross sections 3200 1451 19 23/504 Incoherent scattering cross sections 3200 1451 20 23/515 Pair production cross sections, Electron field 3200 1451 21 23/516 Pair production cross sections, Total 3200 1451 22 23/517 Pair production cross sections, Nuclear field 3200 1451 23 23/522 Total photoionization cross section 3200 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 3200 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 3200 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 3200 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 3200 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 3200 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 3200 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 3200 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 3200 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 3200 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 3200 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 3200 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 3200 1451 36 =================================================================3200 1451 37 27/502 Coherent scattering form factors 3200 1451 38 27/504 Incoherent scattering functions 3200 1451 39 27/505 Imaginary anomalous scattering factor 3200 1451 40 27/506 Real anomalous scattering factor 3200 1451 41 =================================================================3200 1451 42 Warning 3200 1451 43 =================================================================3200 1451 44 MF/MT combinations used to define photoionization subshell cross3200 1451 45 sections (MF=23, MT=534-572) and coherent anomalous scattering 3200 1451 46 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 3200 1451 47 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 3200 1451 48 If you are not prepared to use this data you need merely delete 3200 1451 49 it and all of the remaining data will still be consistent and 3200 1451 50 equivalent to the types of data in earlier versions of ENDF/B. 3200 1451 51 However, this will limit the range of problems to which this 3200 1451 52 data can be applied (see: ref. 1 for details). 3200 1451 53 =================================================================3200 1451 54 Definition of new types of data 3200 1451 55 =================================================================3200 1451 56 1) The total photoionization cross section is equal to the sum 3200 1451 57 of the photoionization subshell cross sections. 3200 1451 58 3200 1451 59 For each subshell on the second line of a section the C1 and 3200 1451 60 C2 fields are defined as, 3200 1451 61 3200 1451 62 EPE = The photoionization edge energy (similar to Q-value) 3200 1451 63 EFL = The fluorescence yield (eV/photoionization) 3200 1451 64 3200 1451 65 2) The angular distribution of coherently scattered photons is, 3200 1451 66 3200 1451 67 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3200 1451 68 3200 1451 69 S(E,MU) = Angular distributions (barns per unit cosine) 3200 1451 70 T = The Thomson cross section 3200 1451 71 MU = The cosine of the scattering angle 3200 1451 72 FF(M) = The atomic form factor 3200 1451 73 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 3200 1451 74 F1(E) = The real anomalous scattering factor 3200 1451 75 F2(E) = The imaginary anomalous scattering factor 3200 1451 76 3200 1451 77 F1(E) and F2(E) are isotropic. 3200 1451 78 3200 1451 79 When F1(E) = F2(E) = 0 this reduces to the result obtained 3200 1451 80 using only form factors (the older ENDF/B convention). 3200 1451 81 =================================================================3200 1451 82 Differences between EPDL97 and the data base presented here 3200 1451 83 =================================================================3200 1451 84 1) Energy range - EPDL97 - 1 eV to 100 GeV 3200 1451 85 Here - 1 eV TO 100 GeV (previously 100 MeV) 3200 1451 86 2) Type of Data - EPDL97 - Photon interaction including 3200 1451 87 photoexcitation 3200 1451 88 Here - Photon interaction - ENDF/B-VI has 3200 1451 89 no provision for photoexcitation 3200 1451 90 3) Secondary E - EPDL97 - Average energy of each secondary 3200 1451 91 (photons, electrons, positrons) 3200 1451 92 HERE - No secondary energy data 3200 1451 93 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 3200 1451 94 interpolable - the total cross 3200 1451 95 section is not included 3200 1451 96 - Form factors and scattering functions 3200 1451 97 are Log X vs. Log y, except first 3200 1451 98 interval. 3200 1451 99 - Anomalous scattering factors linearly 3200 1451 100 interpolable (they can be negative) 3200 1451 101 Here - Up through ENDF/B-V photon interaction3200 1451 102 cross sections were Log X vs. Log Y. 3200 1451 103 - For the first two Mods. of ENDF/B-VI 3200 1451 104 in order to consistently define the 3200 1451 105 total cross sections at ALL energies 3200 1451 106 all cross sections were linearized. 3200 1451 107 This was NOT a good idea. 3200 1451 108 - Starting with Mod. 3, cross sections 3200 1451 109 are left in Log X vs. Log. Y form so 3200 1451 110 that they are IDENTICAL to what's in 3200 1451 111 EPDL97. 3200 1451 112 The total is defined ONLY at the 3200 1451 113 energies tabulated in any other cross 3200 1451 114 section. 3200 1451 115 WARNING - As a result the total cross section 3200 1451 116 MUST NOT be interpolated to define the3200 1451 117 total between tabulated energies. The 3200 1451 118 ONLY consist way to define the total 3200 1451 119 between tabulated energies is to 3200 1451 120 interpolate all of the partials and 3200 1451 121 add them up. 3200 1451 122 =================================================================3200 1451 123 References 3200 1451 124 =================================================================3200 1451 125 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 3200 1451 126 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 3200 1451 127 graphs of photon interaction cross sections from 10 eV to 100 3200 1451 128 GeV derived from the LLNL Evaluated Photon data library (EPDL), 3200 1451 129 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 3200 1451 130 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 3200 1451 131 3200 1451 132 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 3200 1451 133 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 3200 1451 134 Rev. 5, Lawrence Livermore National Laboratory (1997) 3200 1451 135 3200 1451 136 These are the primary references to the contents of this library3200 1451 137 and they contain a complete list of references to the sources 3200 1451 138 of data used in this library, methods of evaluation, accuracy 3200 1451 139 of the data, etc. 3200 1451 140 =================================================================3200 1451 141 History 3200 1451 142 =================================================================3200 1451 143 Mod. 1 - October, 1989 - Initial release. 3200 1451 144 Mod. 2 - August, 1990 - Updated photoionization total and 3200 1451 145 subshell cross sections. 3200 1451 146 Mod. 3 - July, 1997 - Complete re-evaluation. 3200 1451 147 =================================================================3200 1451 148 1 451 172 33200 1451 149 23 501 781 33200 1451 150 23 502 370 33200 1451 151 23 504 40 33200 1451 152 23 515 33 33200 1451 153 23 516 51 33200 1451 154 23 517 38 33200 1451 155 23 522 345 33200 1451 156 23 534 22 33200 1451 157 23 535 27 33200 1451 158 23 536 37 33200 1451 159 23 537 38 33200 1451 160 23 538 32 33200 1451 161 23 539 41 33200 1451 162 23 540 40 33200 1451 163 23 541 52 33200 1451 164 23 542 54 33200 1451 165 23 543 65 33200 1451 166 23 544 52 33200 1451 167 23 545 52 33200 1451 168 27 502 54 33200 1451 169 27 504 55 33200 1451 170 27 505 137 33200 1451 171 27 506 105 33200 1451 172 3200 1 0 173 3200 0 0 174 3.200000+4 7.196650+1 0 0 0 0320023501 175 0.0 0.0 0 0 1 2333320023501 176 2333 5 320023501 177 1.000000+0 1.814594-3 1.125000+0 2.998552-3 1.258900+0 4.899142-3320023501 178 1.267044+0 5.039019-3 1.306639+0 5.772404-3 1.389580+0 7.599121-3320023501 179 1.477786+0 1.005225-2 1.571591+0 1.337295-2 1.584900+0 1.391577-2320023501 180 1.620703+0 1.546260-2 1.720953+0 2.065920-2 1.769006+0 2.364214-2320023501 181 1.860653+0 3.045104-2 1.946662+0 3.840457-2 1.987662+0 4.287425-2320023501 182 1.995300+0 4.376853-2 2.065857+0 5.277095-2 2.140406+0 6.416919-2320023501 183 2.210296+0 7.703542-2 2.275817+0 9.149679-2 2.337244+0 1.076350-1320023501 184 2.394831+0 1.255922-1 2.458173+0 1.492165-1 2.499434+0 1.670420-1320023501 185 2.511900+0 1.730320-1 2.546884+0 1.908372-1 2.591369+0 2.168387-1320023501 186 2.633074+0 2.451113-1 2.672172+0 2.757679-1 2.708826+0 3.089436-1320023501 187 2.743190+0 3.448154-1 2.777597+0 3.862732-1 2.805608+0 4.249608-1320023501 188 2.833922+0 4.696762-1 2.864397+0 5.252232-1 2.885353+0 5.687754-1320023501 189 2.908684+0 6.236359-1 2.930556+0 6.823398-1 2.953910+0 7.542938-1320023501 190 2.970286+0 8.116158-1 2.988308+0 8.826531-1 3.005204+0 9.582985-1320023501 191 3.021044+0 1.038734+0 3.037109+0 1.131615+0 3.049816+0 1.214731+0320023501 192 3.062867+0 1.310755+0 3.075103+0 1.412480+0 3.086574+0 1.520178+0320023501 193 3.097329+0 1.634120+0 3.107411+0 1.754560+0 3.116863+0 1.881740+0320023501 194 3.125724+0 2.015893+0 3.139725+0 2.264395+0 3.149121+0 2.462886+0320023501 195 3.162300+0 2.800010+0 3.162811+0 2.813942+0 3.174790+0 3.205405+0320023501 196 3.185272+0 3.643957+0 3.194443+0 4.136729+0 3.202468+0 4.688720+0320023501 197 3.209490+0 5.300227+0 3.215634+0 5.965633+0 3.221010+0 6.673959+0320023501 198 3.225714+0 7.410639+0 3.230309+0 8.253732+0 3.233432+0 8.905669+0320023501 199 3.239341+0 1.033637+1 3.247785+0 1.289174+1 3.261729+0 1.862258+1320023501 200 3.266663+0 2.112144+1 3.270674+0 2.332291+1 3.274684+0 2.566236+1320023501 201 3.282705+0 3.066698+1 3.283707+0 3.131428+1 3.290726+0 3.589476+1320023501 202 3.293483+0 3.768522+1 3.298746+0 4.101024+1 3.301503+0 4.267112+1320023501 203 3.304135+0 4.418380+1 3.306767+0 4.561001+1 3.310276+0 4.735126+1320023501 204 3.313660+0 4.882764+1 3.318297+0 5.047590+1 3.322386+0 5.152454+1320023501 205 3.327070+0 5.221459+1 3.331080+0 5.234747+1 3.332476+0 5.229238+1320023501 206 3.336460+0 5.184686+1 3.339978+0 5.110326+1 3.343066+0 5.018966+1320023501 207 3.346933+0 4.872075+1 3.349591+0 4.751700+1 3.355142+0 4.455333+1320023501 208 3.358729+0 4.236453+1 3.361344+0 4.066068+1 3.364792+0 3.830266+1320023501 209 3.367479+0 3.639989+1 3.370933+0 3.389896+1 3.374442+0 3.132923+1320023501 210 3.378108+0 2.865113+1 3.382964+0 2.517411+1 3.386473+0 2.274976+1320023501 211 3.387476+0 2.207460+1 3.391235+0 1.962357+1 3.394995+0 1.731552+1320023501 212 3.403016+0 1.293550+1 3.406102+0 1.146030+1 3.408569+0 1.036647+1320023501 213 3.411037+0 9.348238+0 3.414546+0 8.028087+0 3.418846+0 6.608525+0320023501 214 3.422030+0 5.691253+0 3.426475+0 4.589459+0 3.431778+0 3.524027+0320023501 215 3.438673+0 2.496822+0 3.440690+0 2.264249+0 3.442581+0 2.071650+0320023501 216 3.444354+0 1.912374+0 3.446016+0 1.780921+0 3.447574+0 1.672734+0320023501 217 3.450496+0 1.507184+0 3.453052+0 1.400034+0 3.455289+0 1.333471+0320023501 218 3.458103+0 1.283851+0 3.459708+0 1.271813+0 3.461113+0 1.270629+0320023501 219 3.462342+0 1.276576+0 3.463418+0 1.287014+0 3.464359+0 1.300086+0320023501 220 3.466006+0 1.331646+0 3.467241+0 1.362435+0 3.468863+0 1.411920+0320023501 221 3.470947+0 1.490362+0 3.472701+0 1.569009+0 3.475035+0 1.691133+0320023501 222 3.477263+0 1.825907+0 3.479490+0 1.978027+0 3.488034+0 2.714198+0320023501 223 3.497111+0 3.735430+0 3.498112+0 3.861100+0 3.505654+0 4.873746+0320023501 224 3.508407+0 5.266276+0 3.513664+0 6.034974+0 3.516600+0 6.468748+0320023501 225 3.520104+0 6.982984+0 3.523416+0 7.459126+0 3.526545+0 7.894207+0320023501 226 3.529962+0 8.345963+0 3.532886+0 8.708058+0 3.536590+0 9.127058+0320023501 227 3.539827+0 9.450896+0 3.543832+0 9.789211+0 3.547626+0 1.003944+1320023501 228 3.550115+0 1.016386+1 3.554019+0 1.029258+1 3.556979+0 1.033477+1320023501 229 3.565320+0 1.019623+1 3.567619+0 1.009327+1 3.574001+0 9.673057+0320023501 230 3.577411+0 9.375118+0 3.578561+0 9.264417+0 3.583078+0 8.785271+0320023501 231 3.586348+0 8.400438+0 3.589502+0 8.005290+0 3.592689+0 7.587402+0320023501 232 3.596694+0 7.044095+0 3.599096+0 6.712330+0 3.603368+0 6.119510+0320023501 233 3.606572+0 5.677866+0 3.608708+0 5.387181+0 3.612445+0 4.889432+0320023501 234 3.616183+0 4.409977+0 3.624726+0 3.403885+0 3.627663+0 3.091419+0320023501 235 3.630466+0 2.810341+0 3.633270+0 2.546397+0 3.637541+0 2.177354+0320023501 236 3.641813+0 1.847899+0 3.645535+0 1.592106+0 3.649763+0 1.335268+0320023501 237 3.653957+0 1.113628+0 3.658215+0 9.198216-1 3.662248+0 7.626169-1320023501 238 3.664301+0 6.916527-1 3.668390+0 5.668340-1 3.672447+0 4.626992-1320023501 239 3.676473+0 3.764346-1 3.680467+0 3.054848-1 3.688361+0 2.006305-1320023501 240 3.692262+0 1.629187-1 3.696133+0 1.328779-1 3.699973+0 1.091737-1320023501 241 3.703784+0 9.066191-2 3.707564+0 7.636771-2 3.711315+0 6.546456-2320023501 242 3.715037+0 5.725564-2 3.718730+0 5.115673-2 3.722394+0 4.668114-2320023501 243 3.726029+0 4.342647-2 3.731693+0 4.000373-2 3.736751+0 3.800242-2320023501 244 3.750219+0 3.419171-2 3.756537+0 3.220021-2 3.762062+0 3.014728-2320023501 245 3.768687+0 2.732907-2 3.775234+0 2.429912-2 3.781679+0 2.128042-2320023501 246 3.794268+0 1.609732-2 3.800416+0 1.425203-2 3.812518+0 1.250314-2320023501 247 3.824243+0 1.353942-2 3.835601+0 1.720008-2 3.846604+0 2.315137-2320023501 248 3.867923+0 4.087392-2 3.889140+0 6.590728-2 3.908153+0 9.432006-2320023501 249 3.944589+0 1.647168-1 3.981100+0 2.353230-1 4.049372+0 4.545630-1320023501 250 4.083955+0 5.845293-1 4.109892+0 6.999580-1 4.148799+0 9.045853-1320023501 251 4.198012+0 1.228142+0 4.281073+0 2.026100+0 4.312150+0 2.447440+0320023501 252 4.332868+0 2.781694+0 4.363944+0 3.386577+0 4.384662+0 3.878011+0320023501 253 4.395021+0 4.156713+0 4.415738+0 4.794721+0 4.432500+0 5.406766+0320023501 254 4.442629+0 5.827696+0 4.453510+0 6.330917+0 4.464990+0 6.929120+0320023501 255 4.475820+0 7.568946+0 4.486650+0 8.297120+0 4.497480+0 9.133105+0320023501 256 4.508310+0 1.010315+1 4.519140+0 1.124368+1 4.529970+0 1.260634+1320023501 257 4.540800+0 1.426536+1 4.551630+0 1.632703+1 4.562460+0 1.894085+1320023501 258 4.573290+0 2.231050+1 4.578705+0 2.435923+1 4.584120+0 2.670146+1320023501 259 4.589544+0 2.938483+1 4.594968+0 3.245211+1 4.600409+0 3.596380+1320023501 260 4.605850+0 3.996205+1 4.616731+0 4.962145+1 4.638031+0 7.611003+1320023501 261 4.646508+0 8.971827+1 4.655155+0 1.053623+2 4.660863+0 1.165739+2320023501 262 4.672279+0 1.406624+2 4.673706+0 1.437879+2 4.683694+0 1.659668+2320023501 263 4.687619+0 1.746656+2 4.695110+0 1.908643+2 4.699035+0 1.989783+2320023501 264 4.702780+0 2.063821+2 4.706526+0 2.133757+2 4.711521+0 2.219335+2320023501 265 4.716337+0 2.292091+2 4.720796+0 2.349648+2 4.724542+0 2.389933+2320023501 266 4.730072+0 2.434772+2 4.736761+0 2.463996+2 4.741822+0 2.466994+2320023501 267 4.748788+0 2.443647+2 4.753796+0 2.407402+2 4.758191+0 2.362658+2320023501 268 4.763525+0 2.293002+2 4.767478+0 2.231321+2 4.775379+0 2.085456+2320023501 269 4.780484+0 1.977746+2 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1.835761-5320023522 1836 2.985383+9 8.102954-6 5.37032+10 4.498176-7 5.68853+10 4.246611-7320023522 1837 5.75440+10 4.198012-7 1.00000+11 2.416025-7 320023522 1838 320023 0 1839 3.200000+4 7.196650+1 0 0 0 0320023534 1840 1.106700+4 0.0 0 0 1 57320023534 1841 57 5 320023534 1842 1.106700+4 2.073136+4 1.122500+4 2.004146+4 1.140000+4 1.924732+4320023534 1843 1.174898+4 1.787264+4 1.230269+4 1.587585+4 1.333521+4 1.294990+4320023534 1844 1.462177+4 1.017263+4 1.730000+4 6.522020+3 2.187762+4 3.447616+3320023534 1845 2.754229+4 1.817011+3 3.388442+4 1.009321+3 4.168694+4 5.553901+2320023534 1846 5.128614+4 3.030590+2 6.382635+4 1.586385+2 8.222426+4 7.437006+1320023534 1847 1.737801+5 7.757575+0 2.238721+5 3.639714+0 2.630268+5 2.264487+0320023534 1848 3.019952+5 1.518038+0 3.427678+5 1.059112+0 3.845918+5 7.686995-1320023534 1849 4.265795+5 5.798191-1 4.731513+5 4.402894-1 5.248075+5 3.367368-1320023534 1850 5.821032+5 2.595154-1 6.382635+5 2.072999-1 6.998420+5 1.667453-1320023534 1851 7.673615+5 1.352444-1 8.511380+5 1.077241-1 9.440609+5 8.635124-2320023534 1852 1.023293+6 7.320976-2 1.148154+6 5.820575-2 1.244515+6 4.989371-2320023534 1853 1.396368+6 4.032162-2 1.548817+6 3.349583-2 1.737801+6 2.746512-2320023534 1854 1.949845+6 2.268534-2 2.213095+6 1.852903-2 2.511886+6 1.524894-2320023534 1855 2.884032+6 1.242659-2 3.311311+6 1.020190-2 3.845918+6 8.300669-3320023534 1856 4.518559+6 6.697621-3 5.370318+6 5.363108-3 6.531306+6 4.203770-3320023534 1857 8.035261+6 3.274572-3 1.011579+7 2.502568-3 1.318257+7 1.852996-3320023534 1858 1.778279+7 1.331576-3 2.371374+7 9.762519-4 3.507519+7 6.455121-4320023534 1859 5.559043+7 4.002237-4 1.071519+8 2.046000-4 2.137962+8 1.017230-4320023534 1860 8.511380+8 2.540463-5 5.37032+10 4.017991-7 1.00000+11 2.158200-7320023534 1861 320023 0 1862 3.200000+4 7.196650+1 0 0 0 0320023535 1863 1.402300+3 0.0 0 0 1 71320023535 1864 71 5 320023535 1865 1.402300+3 9.283222+4 1.445440+3 8.982218+4 1.570000+3 7.957480+4320023535 1866 1.717908+3 6.904161+4 1.995262+3 5.426558+4 2.350000+3 4.110880+4320023535 1867 2.570396+3 3.502345+4 3.000000+3 2.636020+4 3.311311+3 2.182944+4320023535 1868 3.845918+3 1.626849+4 4.315191+3 1.287718+4 4.897788+3 9.897854+3320023535 1869 5.623413+3 7.366912+3 6.382635+3 5.582480+3 7.328245+3 4.096004+3320023535 1870 8.511380+3 2.904352+3 9.885531+3 2.042413+3 1.150000+4 1.419384+3320023535 1871 1.333521+4 9.865813+2 1.548817+4 6.780782+2 1.819701+4 4.491931+2320023535 1872 2.137962+4 2.951734+2 2.500000+4 1.949404+2 2.951209+4 1.246015+2320023535 1873 3.507519+4 7.758072+1 4.168694+4 4.794028+1 5.011872+4 2.846918+1320023535 1874 6.095369+4 1.623592+1 7.498942+4 8.887943+0 9.549926+4 4.363974+0320023535 1875 1.862087+5 6.000295-1 2.344229+5 3.044757-1 2.754229+5 1.906907-1320023535 1876 3.198895+5 1.244263-1 3.630781+5 8.731758-2 4.073803+5 6.371885-2320023535 1877 4.518559+5 4.829699-2 5.011872+5 3.686536-2 5.559043+5 2.834367-2320023535 1878 6.095369+5 2.258499-2 6.683439+5 1.811751-2 7.328245+5 1.462952-2320023535 1879 8.128305+5 1.159253-2 8.912509+5 9.491556-3 9.660509+5 8.019729-3320023535 1880 1.083927+6 6.365225-3 1.202264+6 5.198948-3 1.333521+6 4.277117-3320023535 1881 1.479108+6 3.542993-3 1.659587+6 2.896299-3 1.862087+6 2.385485-3320023535 1882 2.113489+6 1.942434-3 2.398833+6 1.594198-3 2.722701+6 1.317930-3320023535 1883 3.126079+6 1.078838-3 3.630781+6 8.752741-4 4.265795+6 7.043728-4320023535 1884 5.069907+6 5.625851-4 6.095369+6 4.462174-4 7.413102+6 3.514774-4320023535 1885 9.120108+6 2.750842-4 1.161449+7 2.083706-4 1.496236+7 1.569254-4320023535 1886 2.018366+7 1.131362-4 2.884032+7 7.731447-5 4.365158+7 5.009926-5320023535 1887 7.244360+7 2.973362-5 1.348963+8 1.579376-5 2.691535+8 7.865137-6320023535 1888 1.071519+9 1.966534-6 1.00000+11 2.104000-8 320023535 1889 320023 0 1890 3.200000+4 7.196650+1 0 0 0 0320023536 1891 1.255400+3 0.0 0 0 1 102320023536 1892 102 5 320023536 1893 1.255400+3 7.518200+4 1.255600+3 7.814400+4 1.255900+3 8.506400+4320023536 1894 1.256200+3 9.192900+4 1.256500+3 9.874100+4 1.256800+3 1.055000+5320023536 1895 1.257150+3 1.131500+5 1.257500+3 1.206700+5 1.257850+3 1.279200+5320023536 1896 1.258200+3 1.349000+5 1.258650+3 1.435000+5 1.259000+3 1.498400+5320023536 1897 1.259500+3 1.583600+5 1.260000+3 1.661900+5 1.260500+3 1.733500+5320023536 1898 1.261000+3 1.798900+5 1.261700+3 1.880100+5 1.262200+3 1.931100+5320023536 1899 1.263000+3 2.001600+5 1.263800+3 2.059500+5 1.264500+3 2.101200+5320023536 1900 1.265600+3 2.152700+5 1.266500+3 2.184200+5 1.268000+3 2.220700+5320023536 1901 1.269500+3 2.243068+5 1.272200+3 2.268871+5 1.275000+3 2.280196+5320023536 1902 1.288000+3 2.295626+5 1.305000+3 2.305521+5 1.313000+3 2.300400+5320023536 1903 1.323000+3 2.275300+5 1.396368+3 2.004200+5 1.500000+3 1.664700+5320023536 1904 1.778279+3 1.078800+5 1.972423+3 8.225500+4 2.150000+3 6.526900+4320023536 1905 2.570396+3 3.992600+4 2.884032+3 2.881700+4 3.300000+3 1.956000+4320023536 1906 3.845918+3 1.246800+4 4.365158+3 8.533300+3 5.069907+3 5.410200+3320023536 1907 5.956621+3 3.281200+3 6.918310+3 2.045700+3 7.943282+3 1.313900+3320023536 1908 9.225714+3 8.078600+2 1.083927+4 4.748700+2 1.273503+4 2.770800+2320023536 1909 1.500000+4 1.591800+2 1.778279+4 8.882800+1 2.137962+4 4.687100+1320023536 1910 2.600160+4 2.357900+1 3.235937+4 1.084700+1 4.120975+4 4.561300+0320023536 1911 9.015711+4 2.696900-1 1.135011+5 1.180800-1 1.364583+5 6.140700-2320023536 1912 1.621810+5 3.351499-2 1.883649+5 1.997921-2 2.162719+5 1.248519-2320023536 1913 2.454709+5 8.172112-3 2.754229+5 5.596671-3 3.090295+5 3.859825-3320023536 1914 3.427678+5 2.780708-3 3.801894+5 2.017174-3 4.168694+5 1.526433-3320023536 1915 4.623810+5 1.124277-3 5.128614+5 8.346299-4 5.688529+5 6.243882-4320023536 1916 6.237348+5 4.855794-4 6.839117+5 3.802578-4 7.328245+5 3.182337-4320023536 1917 8.035261+5 2.526895-4 9.332543+5 1.754120-4 9.885531+5 1.533829-4320023536 1918 1.047129+6 1.352361-4 1.109175+6 1.199572-4 1.174898+6 1.070272-4320023536 1919 1.258925+6 9.405126-5 1.380384+6 7.976032-5 1.737801+6 5.358714-5320023536 1920 1.949845+6 4.422231-5 2.187762+6 3.677514-5 2.483133+6 3.024474-5320023536 1921 2.851018+6 2.463057-5 3.273407+6 2.020931-5 3.801894+6 1.643405-5320023536 1922 4.466836+6 1.325347-5 5.308844+6 1.060735-5 6.456542+6 8.310239-6320023536 1923 7.943282+6 6.470655-6 9.885531+6 5.009270-6 1.273503+7 3.754469-6320023536 1924 1.678804+7 2.764632-6 2.213095+7 2.048446-6 3.273407+7 1.352751-6320023536 1925 5.128614+7 8.476993-7 9.440609+7 4.536332-7 1.883649+8 2.252976-7320023536 1926 3.758374+8 1.124196-7 2.985383+9 1.409577-8 1.00000+11 4.20670-10320023536 1927 320023 0 1928 3.200000+4 7.196650+1 0 0 0 0320023537 1929 1.222800+3 0.0 0 0 1 103320023537 1930 103 5 320023537 1931 1.222800+3 1.572996+5 1.222970+3 1.631124+5 1.223250+3 1.764672+5320023537 1932 1.223500+3 1.883748+5 1.223750+3 2.001768+5 1.224100+3 2.165140+5320023537 1933 1.224400+3 2.302808+5 1.224700+3 2.436944+5 1.225000+3 2.568576+5320023537 1934 1.225400+3 2.738068+5 1.225850+3 2.919500+5 1.226350+3 3.109480+5320023537 1935 1.226800+3 3.269612+5 1.227300+3 3.434728+5 1.227700+3 3.556920+5320023537 1936 1.228000+3 3.632342+5 1.229500+3 3.920470+5 1.230300+3 4.051231+5320023537 1937 1.230500+3 4.079090+5 1.232500+3 4.303495+5 1.235000+3 4.507857+5320023537 1938 1.236000+3 4.556216+5 1.240000+3 4.674399+5 1.245000+3 4.741897+5320023537 1939 1.260000+3 4.777324+5 1.275000+3 4.774000+5 1.283000+3 4.750440+5320023537 1940 1.290000+3 4.708080+5 1.368000+3 4.087720+5 1.462177+3 3.431846+5320023537 1941 1.717908+3 2.266060+5 1.905461+3 1.724328+5 2.089296+3 1.344565+5320023537 1942 2.500000+3 8.173520+4 2.786121+3 6.001422+4 3.198895+3 4.022414+4320023537 1943 3.672823+3 2.672002+4 4.168694+3 1.825483+4 4.841724+3 1.154335+4320023537 1944 5.623413+3 7.238085+3 6.500000+3 4.571560+3 7.413102+3 2.994147+3320023537 1945 8.609938+3 1.836376+3 1.000000+4 1.118184+3 1.174898+4 6.503626+2320023537 1946 1.364583+4 3.905209+2 1.584893+4 2.330314+2 1.862087+4 1.327608+2320023537 1947 2.213095+4 7.211742+1 2.660725+4 3.732434+1 3.235937+4 1.839181+1320023537 1948 4.027170+4 8.272502+0 5.248075+4 3.117768+0 9.772372+4 3.108629-1320023537 1949 1.216186+5 1.390530-1 1.445440+5 7.407257-2 1.678804+5 4.322067-2320023537 1950 1.927525+5 2.648300-2 2.187762+5 1.702430-2 2.454709+5 1.147510-2320023537 1951 2.722701+5 8.101355-3 3.000060+5 5.887356-3 3.311311+5 4.285344-3320023537 1952 3.630781+5 3.207948-3 3.981072+5 2.417911-3 4.365158+5 1.835632-3320023537 1953 4.731513+5 1.451605-3 5.128614+5 1.155305-3 5.559043+5 9.257535-4320023537 1954 6.025596+5 7.466324-4 6.531306+5 6.060797-4 7.079458+5 4.951565-4320023537 1955 7.673615+5 4.072108-4 8.317638+5 3.371286-4 9.015711+5 2.807049-4320023537 1956 9.660509+5 2.414883-4 1.035142+6 2.092396-4 1.135011+6 1.740170-4320023537 1957 1.250000+6 1.444998-4 1.380384+6 1.203427-4 1.584893+6 9.424980-5320023537 1958 1.778279+6 7.739651-5 2.000000+6 6.375794-5 2.264644+6 5.234683-5320023537 1959 2.570396+6 4.313602-5 2.951209+6 3.519910-5 3.388442+6 2.893165-5320023537 1960 3.935501+6 2.356657-5 4.623810+6 1.903464-5 5.495409+6 1.525727-5320023537 1961 6.683439+6 1.196997-5 8.222427+6 9.332688-6 1.035142+7 7.137959-6320023537 1962 1.348963+7 5.289510-6 1.840772+7 3.755699-6 2.454709+7 2.755918-6320023537 1963 3.630781+7 1.823453-6 5.821032+7 1.117873-6 1.135011+8 5.652124-7320023537 1964 2.264644+8 2.811433-7 9.015711+8 7.023553-8 5.68853+10 1.110961-9320023537 1965 1.00000+11 6.32080-10 320023537 1966 320023 0 1967 3.200000+4 7.196650+1 0 0 0 0320023538 1968 1.792500+2 0.0 0 0 1 86320023538 1969 86 5 320023538 1970 1.792500+2 2.423298+5 2.162719+2 2.258866+5 2.264644+2 2.199414+5320023538 1971 2.426610+2 2.089896+5 2.818383+2 1.857337+5 3.000000+2 1.757158+5320023538 1972 3.200000+2 1.647528+5 3.548134+2 1.471943+5 3.981072+2 1.289286+5320023538 1973 4.350000+2 1.155852+5 4.841724+2 1.004330+5 5.500000+2 8.437240+4320023538 1974 6.095369+2 7.278961+4 7.079458+2 5.817733+4 7.943282+2 4.862622+4320023538 1975 9.225714+2 3.820262+4 1.059254+3 3.033060+4 1.216186+3 2.391699+4320023538 1976 1.412538+3 1.834717+4 1.640590+3 1.396526+4 1.905461+3 1.055199+4320023538 1977 2.213095+3 7.915609+3 2.570396+3 5.896737+3 3.000000+3 4.320060+3320023538 1978 3.548134+3 3.057557+3 4.168694+3 2.177015+3 4.897788+3 1.538476+3320023538 1979 5.688529+3 1.107008+3 6.683439+3 7.708478+2 7.762471+3 5.468829+2320023538 1980 9.015711+3 3.852640+2 1.047129+4 2.694794+2 1.216186+4 1.871790+2320023538 1981 1.428894+4 1.255076+2 1.659587+4 8.597968+1 1.949845+4 5.677871+1320023538 1982 2.290868+4 3.721700+1 2.691535+4 2.421967+1 3.162278+4 1.565095+1320023538 1983 3.758374+4 9.729400+0 4.518559+4 5.813410+0 5.308844+4 3.680284+0320023538 1984 6.456542+4 2.096055+0 8.128305+4 1.071980+0 1.035142+5 5.261322-1320023538 1985 1.819701+5 9.853430-2 2.317395+5 4.835947-2 2.722701+5 3.028873-2320023538 1986 3.162278+5 1.975903-2 3.589219+5 1.386061-2 4.027170+5 1.010978-2320023538 1987 4.518559+5 7.429461-3 5.011872+5 5.670512-3 5.559043+5 4.360240-3320023538 1988 6.095369+5 3.474722-3 6.683439+5 2.787438-3 7.328245+5 2.250912-3320023538 1989 8.128305+5 1.783746-3 8.912509+5 1.460497-3 9.660509+5 1.234008-3320023538 1990 1.083927+6 9.793828-4 1.202264+6 7.999531-4 1.333521+6 6.581195-4320023538 1991 1.479108+6 5.451515-4 1.659587+6 4.456142-4 1.862087+6 3.670185-4320023538 1992 2.089296+6 3.044323-4 2.371374+6 2.497004-4 2.691535+6 2.062860-4320023538 1993 3.090295+6 1.687439-4 3.589219+6 1.368214-4 4.216965+6 1.100466-4320023538 1994 5.011872+6 8.784942-5 6.025596+6 6.964500-5 7.328245+6 5.483468-5320023538 1995 9.015711+6 4.289858-5 1.148154+7 3.248257-5 1.462177+7 2.476949-5320023538 1996 2.018366+7 1.740712-5 2.917427+7 1.175217-5 4.466836+7 7.526589-6320023538 1997 7.498942+7 4.416259-6 1.396368+8 2.346710-6 2.786121+8 1.168872-6320023538 1998 1.109175+9 2.922851-7 1.00000+11 3.237400-9 320023538 1999 320023 0 2000 3.200000+4 7.196650+1 0 0 0 0320023539 2001 1.293800+2 0.0 0 0 1 112320023539 2002 112 5 320023539 2003 1.293800+2 1.264272+5 1.320000+2 1.272094+5 1.350000+2 1.288862+5320023539 2004 1.380384+2 1.315813+5 1.445440+2 1.387390+5 1.540000+2 1.504008+5320023539 2005 1.621810+2 1.617481+5 1.760000+2 1.823842+5 1.828300+2 1.919425+5320023539 2006 1.900000+2 2.007460+5 1.972423+2 2.081099+5 2.041738+2 2.137531+5320023539 2007 2.120000+2 2.186480+5 2.220000+2 2.230720+5 2.330000+2 2.260200+5320023539 2008 2.450000+2 2.272920+5 2.570396+2 2.268465+5 2.691535+2 2.248968+5320023539 2009 2.818383+2 2.214989+5 2.951209+2 2.168093+5 3.126079+2 2.095602+5320023539 2010 3.350000+2 1.995448+5 3.550000+2 1.903762+5 3.780000+2 1.797002+5320023539 2011 4.027170+2 1.683124+5 4.315191+2 1.556115+5 4.677351+2 1.409495+5320023539 2012 5.069907+2 1.267063+5 5.495409+2 1.129992+5 5.956621+2 1.000251+5320023539 2013 6.531306+2 8.636427+4 7.079458+2 7.545795+4 7.762471+2 6.415626+4320023539 2014 8.511380+2 5.418374+4 9.332543+2 4.543069+4 1.030000+3 3.733820+4320023539 2015 1.135011+3 3.056817+4 1.258925+3 2.449694+4 1.396368+3 1.949260+4320023539 2016 1.570000+3 1.491918+4 1.757924+3 1.143222+4 1.972423+3 8.648421+3320023539 2017 2.220000+3 6.441400+3 2.500000+3 4.754360+3 2.818383+3 3.473449+3320023539 2018 3.200000+3 2.471180+3 3.630781+3 1.747819+3 4.073803+3 1.266386+3320023539 2019 4.623810+3 8.824385+2 5.248075+3 6.105829+2 6.000000+3 4.104260+2320023539 2020 6.839116+3 2.763047+2 7.852356+3 1.805795+2 9.015711+3 1.170944+2320023539 2021 1.035142+4 7.539187+1 1.202264+4 4.642555+1 1.396368+4 2.837190+1320023539 2022 1.640590+4 1.656548+1 1.927525+4 9.600431+0 2.290868+4 5.310313+0320023539 2023 2.754229+4 2.801423+0 3.349654+4 1.408689+0 4.216965+4 6.221432-1320023539 2024 5.623413+4 2.220310-1 9.225714+4 3.754793-2 1.188502+5 1.522187-2320023539 2025 1.428894+5 7.948865-3 1.678804+5 4.533721-3 1.949845+5 2.711755-3320023539 2026 2.238721+5 1.700221-3 2.540973+5 1.116488-3 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