24-Cr Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 2.400000+4 5.154930+1 -1 0 0 32400 1451 1 0.0 0.0 0 0 0 62400 1451 2 0.0 0.0 0 0 3 62400 1451 3 0.0 0.0 0 0 142 222400 1451 4 24-CR LLNL Eval-Jul97 D.E.Cullen, et al. 2400 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 2400 1451 6 ---- ENDF/B-VI MATERIAL 2400 2400 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 2400 1451 8 ------ ENDF/B-6 2400 1451 9 =================================================================2400 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 2400 1451 11 ENDF/B-VI format 2400 1451 12 =================================================================2400 1451 13 Contents 2400 1451 14 =================================================================2400 1451 15 MF/MT Description 2400 1451 16 =================================================================2400 1451 17 23/501 Total cross sections 2400 1451 18 23/502 Coherent scattering cross sections 2400 1451 19 23/504 Incoherent scattering cross sections 2400 1451 20 23/515 Pair production cross sections, Electron field 2400 1451 21 23/516 Pair production cross sections, Total 2400 1451 22 23/517 Pair production cross sections, Nuclear field 2400 1451 23 23/522 Total photoionization cross section 2400 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 2400 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 2400 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 2400 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 2400 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 2400 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 2400 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 2400 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 2400 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 2400 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 2400 1451 34 =================================================================2400 1451 35 27/502 Coherent scattering form factors 2400 1451 36 27/504 Incoherent scattering functions 2400 1451 37 27/505 Imaginary anomalous scattering factor 2400 1451 38 27/506 Real anomalous scattering factor 2400 1451 39 =================================================================2400 1451 40 Warning 2400 1451 41 =================================================================2400 1451 42 MF/MT combinations used to define photoionization subshell cross2400 1451 43 sections (MF=23, MT=534-572) and coherent anomalous scattering 2400 1451 44 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 2400 1451 45 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 2400 1451 46 If you are not prepared to use this data you need merely delete 2400 1451 47 it and all of the remaining data will still be consistent and 2400 1451 48 equivalent to the types of data in earlier versions of ENDF/B. 2400 1451 49 However, this will limit the range of problems to which this 2400 1451 50 data can be applied (see: ref. 1 for details). 2400 1451 51 =================================================================2400 1451 52 Definition of new types of data 2400 1451 53 =================================================================2400 1451 54 1) The total photoionization cross section is equal to the sum 2400 1451 55 of the photoionization subshell cross sections. 2400 1451 56 2400 1451 57 For each subshell on the second line of a section the C1 and 2400 1451 58 C2 fields are defined as, 2400 1451 59 2400 1451 60 EPE = The photoionization edge energy (similar to Q-value) 2400 1451 61 EFL = The fluorescence yield (eV/photoionization) 2400 1451 62 2400 1451 63 2) The angular distribution of coherently scattered photons is, 2400 1451 64 2400 1451 65 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2400 1451 66 2400 1451 67 S(E,MU) = Angular distributions (barns per unit cosine) 2400 1451 68 T = The Thomson cross section 2400 1451 69 MU = The cosine of the scattering angle 2400 1451 70 FF(M) = The atomic form factor 2400 1451 71 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 2400 1451 72 F1(E) = The real anomalous scattering factor 2400 1451 73 F2(E) = The imaginary anomalous scattering factor 2400 1451 74 2400 1451 75 F1(E) and F2(E) are isotropic. 2400 1451 76 2400 1451 77 When F1(E) = F2(E) = 0 this reduces to the result obtained 2400 1451 78 using only form factors (the older ENDF/B convention). 2400 1451 79 =================================================================2400 1451 80 Differences between EPDL97 and the data base presented here 2400 1451 81 =================================================================2400 1451 82 1) Energy range - EPDL97 - 1 eV to 100 GeV 2400 1451 83 Here - 1 eV TO 100 GeV (previously 100 MeV) 2400 1451 84 2) Type of Data - EPDL97 - Photon interaction including 2400 1451 85 photoexcitation 2400 1451 86 Here - Photon interaction - ENDF/B-VI has 2400 1451 87 no provision for photoexcitation 2400 1451 88 3) Secondary E - EPDL97 - Average energy of each secondary 2400 1451 89 (photons, electrons, positrons) 2400 1451 90 HERE - No secondary energy data 2400 1451 91 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 2400 1451 92 interpolable - the total cross 2400 1451 93 section is not included 2400 1451 94 - Form factors and scattering functions 2400 1451 95 are Log X vs. Log y, except first 2400 1451 96 interval. 2400 1451 97 - Anomalous scattering factors linearly 2400 1451 98 interpolable (they can be negative) 2400 1451 99 Here - Up through ENDF/B-V photon interaction2400 1451 100 cross sections were Log X vs. Log Y. 2400 1451 101 - For the first two Mods. of ENDF/B-VI 2400 1451 102 in order to consistently define the 2400 1451 103 total cross sections at ALL energies 2400 1451 104 all cross sections were linearized. 2400 1451 105 This was NOT a good idea. 2400 1451 106 - Starting with Mod. 3, cross sections 2400 1451 107 are left in Log X vs. Log. Y form so 2400 1451 108 that they are IDENTICAL to what's in 2400 1451 109 EPDL97. 2400 1451 110 The total is defined ONLY at the 2400 1451 111 energies tabulated in any other cross 2400 1451 112 section. 2400 1451 113 WARNING - As a result the total cross section 2400 1451 114 MUST NOT be interpolated to define the2400 1451 115 total between tabulated energies. The 2400 1451 116 ONLY consist way to define the total 2400 1451 117 between tabulated energies is to 2400 1451 118 interpolate all of the partials and 2400 1451 119 add them up. 2400 1451 120 =================================================================2400 1451 121 References 2400 1451 122 =================================================================2400 1451 123 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 2400 1451 124 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 2400 1451 125 graphs of photon interaction cross sections from 10 eV to 100 2400 1451 126 GeV derived from the LLNL Evaluated Photon data library (EPDL), 2400 1451 127 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 2400 1451 128 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 2400 1451 129 2400 1451 130 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 2400 1451 131 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 2400 1451 132 Rev. 5, Lawrence Livermore National Laboratory (1997) 2400 1451 133 2400 1451 134 These are the primary references to the contents of this library2400 1451 135 and they contain a complete list of references to the sources 2400 1451 136 of data used in this library, methods of evaluation, accuracy 2400 1451 137 of the data, etc. 2400 1451 138 =================================================================2400 1451 139 History 2400 1451 140 =================================================================2400 1451 141 Mod. 1 - October, 1989 - Initial release. 2400 1451 142 Mod. 2 - August, 1990 - Updated photoionization total and 2400 1451 143 subshell cross sections. 2400 1451 144 Mod. 3 - July, 1997 - Complete re-evaluation. 2400 1451 145 =================================================================2400 1451 146 1 451 168 32400 1451 147 23 501 644 32400 1451 148 23 502 274 32400 1451 149 23 504 40 32400 1451 150 23 515 32 32400 1451 151 23 516 49 32400 1451 152 23 517 37 32400 1451 153 23 522 300 32400 1451 154 23 534 22 32400 1451 155 23 535 28 32400 1451 156 23 536 35 32400 1451 157 23 537 35 32400 1451 158 23 538 40 32400 1451 159 23 539 47 32400 1451 160 23 540 52 32400 1451 161 23 541 52 32400 1451 162 23 542 49 32400 1451 163 23 543 78 32400 1451 164 27 502 54 32400 1451 165 27 504 55 32400 1451 166 27 505 121 32400 1451 167 27 506 120 32400 1451 168 2400 1 0 169 2400 0 0 170 2.400000+4 5.154930+1 0 0 0 0240023501 171 0.0 0.0 0 0 1 1922240023501 172 1922 5 240023501 173 1.000000+0 1.741146-2 1.101364+0 2.728905-2 1.135781+0 3.159214-2240023501 174 1.171275+0 3.665470-2 1.207877+0 4.262815-2 1.245623+0 4.969875-2240023501 175 1.258900+0 5.244555-2 1.284549+0 5.809690-2 1.324691+0 6.810945-2240023501 176 1.366087+0 8.009163-2 1.407240+0 9.393365-2 1.447107+0 1.094781-1240023501 177 1.485728+0 1.268642-1 1.559388+0 1.674895-1 1.584900+0 1.842622-1240023501 178 1.594500+0 1.909241-1 1.628515+0 2.167652-1 1.661467+0 2.452037-1240023501 179 1.693389+0 2.764219-1 1.724314+0 3.106109-1 1.754272+0 3.479710-1240023501 180 1.783295+0 3.887122-1 1.811410+0 4.330542-1 1.838647+0 4.812271-1240023501 181 1.865032+0 5.334716-1 1.890593+0 5.900395-1 1.915355+0 6.511938-1240023501 182 1.939343+0 7.172096-1 1.962582+0 7.883738-1 1.985095+0 8.649860-1240023501 183 1.995300+0 9.027103-1 2.006904+0 9.473586-1 2.028031+0 1.035814+0240023501 184 2.048498+0 1.130680+0 2.068326+0 1.232300+0 2.087534+0 1.341051+0240023501 185 2.124168+0 1.581524+0 2.158548+0 1.855358+0 2.190813+0 2.166240+0240023501 186 2.206193+0 2.337285+0 2.221093+0 2.519659+0 2.249961+0 2.924857+0240023501 187 2.277025+0 3.379594+0 2.304000+0 3.923895+0 2.326184+0 4.456715+0240023501 188 2.348484+0 5.090825+0 2.369390+0 5.796539+0 2.388989+0 6.579678+0240023501 189 2.407364+0 7.446470+0 2.424590+0 8.403390+0 2.440739+0 9.457140+0240023501 190 2.455879+0 1.061463+1 2.470073+0 1.188295+1 2.483380+0 1.326934+1240023501 191 2.495855+0 1.478114+1 2.507551+0 1.642577+1 2.511900+0 1.711276+1240023501 192 2.518515+0 1.821071+1 2.528794+0 2.014341+1 2.538431+0 2.223130+1240023501 193 2.547465+0 2.448175+1 2.555935+0 2.690204+1 2.563876+0 2.949941+1240023501 194 2.571320+0 3.228106+1 2.578299+0 3.525420+1 2.584841+0 3.842608+1240023501 195 2.590975+0 4.180407+1 2.596726+0 4.539582+1 2.602117+0 4.920947+1240023501 196 2.607171+0 5.325394+1 2.611909+0 5.753917+1 2.616351+0 6.207608+1240023501 197 2.620515+0 6.687638+1 2.624419+0 7.195184+1 2.631740+0 8.337169+1240023501 198 2.638145+0 9.607642+1 2.643750+0 1.100528+2 2.648654+0 1.251893+2240023501 199 2.652945+0 1.412790+2 2.656699+0 1.580433+2 2.659985+0 1.751659+2240023501 200 2.662859+0 1.923276+2 2.665375+0 2.092333+2 2.669776+0 2.436671+2240023501 201 2.675554+0 2.998511+2 2.692888+0 5.676063+2 2.696189+0 6.388358+2240023501 202 2.701490+0 7.678764+2 2.705063+0 8.649109+2 2.709397+0 9.928114+2240023501 203 2.716001+0 1.206165+3 2.718271+0 1.283528+3 2.723430+0 1.463950+3240023501 204 2.727042+0 1.591606+3 2.730034+0 1.696399+3 2.732936+0 1.795784+3240023501 205 2.736195+0 1.903091+3 2.738917+0 1.987907+3 2.742416+0 2.088637+3240023501 206 2.745305+0 2.163266+3 2.748672+0 2.238799+3 2.753302+0 2.319710+3240023501 207 2.756230+0 2.355706+3 2.760260+0 2.384653+3 2.762475+0 2.390081+3240023501 208 2.769138+0 2.361248+3 2.772045+0 2.327979+3 2.775435+0 2.274318+3240023501 209 2.778495+0 2.213161+3 2.782062+0 2.128200+3 2.785817+0 2.025157+3240023501 210 2.788055+0 1.958178+3 2.791253+0 1.856683+3 2.794594+0 1.745160+3240023501 211 2.798691+0 1.603668+3 2.802016+0 1.487252+3 2.805758+0 1.356963+3240023501 212 2.809499+0 1.229519+3 2.813864+0 1.086923+3 2.817293+0 9.809494+2240023501 213 2.822801+0 8.241610+2 2.826439+0 7.305834+2 2.831947+0 6.046537+2240023501 214 2.838558+0 4.782792+2 2.849511+0 3.227068+2 2.853057+0 2.846532+2240023501 215 2.856549+0 2.521415+2 2.859986+0 2.243995+2 2.863369+0 2.007329+2240023501 216 2.866700+0 1.805281+2 2.869978+0 1.632500+2 2.873205+0 1.484370+2240023501 217 2.876382+0 1.356956+2 2.882636+0 1.150045+2 2.888695+0 9.931230+1240023501 218 2.894564+0 8.715058+1 2.900250+0 7.751366+1 2.905758+0 6.971441+1240023501 219 2.911095+0 6.328078+1 2.916264+0 5.788442+1 2.921272+0 5.329296+1240023501 220 2.930975+0 4.579217+1 2.940071+0 4.003873+1 2.948599+0 3.549117+1240023501 221 2.956593+0 3.181212+1 2.971115+0 2.624037+1 2.995818+0 1.905526+1240023501 222 3.005906+0 1.669000+1 3.041211+0 9.923826+0 3.050037+0 8.486652+0240023501 223 3.056656+0 7.470672+0 3.061621+0 6.750089+0 3.076515+0 4.904800+0240023501 224 3.080302+0 4.547778+0 3.084088+0 4.255893+0 3.085981+0 4.138301+0240023501 225 3.088821+0 4.002181+0 3.090241+0 3.953904+0 3.091660+0 3.919878+0240023501 226 3.092691+0 3.904574+0 3.094236+0 3.897182+0 3.096126+0 3.914942+0240023501 227 3.098045+0 3.965063+0 3.099140+0 4.008943+0 3.101056+0 4.113822+0240023501 228 3.106805+0 4.660783+0 3.108650+0 4.915806+0 3.111021+0 5.304243+0240023501 229 3.113751+0 5.838765+0 3.117254+0 6.665742+0 3.122913+0 8.342380+0240023501 230 3.128292+0 1.031962+1 3.134381+0 1.296716+1 3.137251+0 1.434420+1240023501 231 3.139699+0 1.557201+1 3.142572+0 1.706309+1 3.145422+0 1.858233+1240023501 232 3.148544+0 2.027180+1 3.151936+0 2.211248+1 3.155296+0 2.391240+1240023501 233 3.157413+0 2.502131+1 3.161701+0 2.717483+1 3.162300+0 2.744829+1240023501 234 3.165168+0 2.879548+1 3.169745+0 3.072491+1 3.172218+0 3.165371+1240023501 235 3.179882+0 3.396870+1 3.183914+0 3.483556+1 3.186265+0 3.523262+1240023501 236 3.189481+0 3.565462+1 3.192523+0 3.593584+1 3.196870+0 3.616732+1240023501 237 3.202459+0 3.624153+1 3.220319+0 3.601231+1 3.228057+0 3.620349+1240023501 238 3.234406+0 3.659473+1 3.241471+0 3.723600+1 3.255161+0 3.863218+1240023501 239 3.262962+0 3.914946+1 3.267082+0 3.924997+1 3.271015+0 3.920766+1240023501 240 3.274948+0 3.901739+1 3.279943+0 3.855258+1 3.284759+0 3.786844+1240023501 241 3.286365+0 3.759076+1 3.292215+0 3.638493+1 3.294166+0 3.592112+1240023501 242 3.300016+0 3.437411+1 3.301967+0 3.381458+1 3.309768+0 3.142471+1240023501 243 3.314190+0 3.000543+1 3.323704+0 2.694420+1 3.345584+0 2.074956+1240023501 244 3.355225+0 1.861278+1 3.361536+0 1.741649+1 3.367748+0 1.638162+1240023501 245 3.379978+0 1.469807+1 3.391826+0 1.341931+1 3.403304+0 1.241982+1240023501 246 3.414423+0 1.161380+1 3.425195+0 1.094548+1 3.446065+0 9.874739+0240023501 247 3.465630+0 9.060530+0 3.483973+0 8.416399+0 3.501169+0 7.893248+0240023501 248 3.517291+0 7.459661+0 3.547519+0 6.761898+0 3.573968+0 6.246776+0240023501 249 3.600000+0 5.807087+0 3.637612+0 5.261887+0 3.667988+0 4.883652+0240023501 250 3.713551+0 4.397198+0 3.777619+0 3.832458+0 3.842387+0 3.368920+0240023501 251 3.944166+0 2.787071+0 3.981100+0 2.602125+0 4.048407+0 2.299802+0240023501 252 4.152648+0 1.868407+0 4.183311+0 1.745424+0 4.213975+0 1.621682+0240023501 253 4.234418+0 1.537415+0 4.255933+0 1.445876+0 4.266382+0 1.399926+0240023501 254 4.276832+0 1.352715+0 4.297731+0 1.253400+0 4.308181+0 1.200584+0240023501 255 4.316187+0 1.158321+0 4.336630+0 1.041640+0 4.339530+0 1.023917+0240023501 256 4.349980+0 9.574808-1 4.357072+0 9.101693-1 4.360430+0 8.872207-1240023501 257 4.370879+0 8.142543-1 4.381515+0 7.399480-1 4.392299+0 6.697598-1240023501 258 4.397691+0 6.390874-1 4.403084+0 6.131078-1 4.405929+0 6.018173-1240023501 259 4.408774+0 5.925202-1 4.413268+0 5.825480-1 4.415748+0 5.798638-1240023501 260 4.419430+0 5.800893-1 4.427715+0 6.021366-1 4.430477+0 6.171050-1240023501 261 4.434993+0 6.508995-1 4.436499+0 6.648969-1 4.441329+0 7.196589-1240023501 262 4.446611+0 7.978114-1 4.449810+0 8.549387-1 4.454477+0 9.520255-1240023501 263 4.461298+0 1.123856+0 4.472646+0 1.486987+0 4.478973+0 1.727760+0240023501 264 4.483662+0 1.921100+0 4.487598+0 2.091510+0 4.492216+0 2.298815+0240023501 265 4.495587+0 2.453674+0 4.501013+0 2.706225+0 4.505421+0 2.911419+0240023501 266 4.510267+0 3.133444+0 4.513243+0 3.266451+0 4.515790+0 3.377468+0240023501 267 4.519610+0 3.537969+0 4.524109+0 3.715734+0 4.534296+0 4.060995+0240023501 268 4.538032+0 4.164163+0 4.545163+0 4.321776+0 4.550638+0 4.405953+0240023501 269 4.553763+0 4.439331+0 4.556497+0 4.459812+0 4.561282+0 4.476345+0240023501 270 4.564871+0 4.473050+0 4.567562+0 4.462086+0 4.573618+0 4.412336+0240023501 271 4.579018+0 4.341144+0 4.585514+0 4.226497+0 4.588628+0 4.161890+0240023501 272 4.596325+0 3.980740+0 4.604103+0 3.774836+0 4.610361+0 3.599235+0240023501 273 4.625806+0 3.157864+0 4.651125+0 2.509758+0 4.658817+0 2.344641+0240023501 274 4.673240+0 2.077299+0 4.685860+0 1.883909+0 4.707945+0 1.614163+0240023501 275 4.757636+0 1.162691+0 4.775048+0 1.020940+0 4.786801+0 9.283573-1240023501 276 4.808300+0 7.752369-1 4.818227+0 7.183042-1 4.825948+0 6.835428-1240023501 277 4.828959+0 6.727376-1 4.831970+0 6.636622-1 4.843805+0 6.470038-1240023501 278 4.845386+0 6.473064-1 4.856457+0 6.680181-1 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1.462177+3 1.101341+4240023540 1790 1.640590+3 8.098135+3 1.840772+3 5.913580+3 2.089296+3 4.153326+3240023540 1791 2.371374+3 2.895466+3 2.691535+3 2.003250+3 3.054921+3 1.375479+3240023540 1792 3.467369+3 9.371761+2 4.027170+3 5.911937+2 4.466836+3 4.337170+2240023540 1793 4.786301+3 3.509098+2 5.069907+3 2.925102+2 5.370318+3 2.422308+2240023540 1794 5.698200+3 1.978010+2 5.821032+3 1.825757+2 5.956621+3 1.684279+2240023540 1795 6.025596+3 1.623879+2 6.165950+3 1.523996+2 6.456542+3 1.355481+2240023540 1796 6.606934+3 1.261051+2 6.839116+3 1.122904+2 7.079458+3 9.928830+1240023540 1797 7.585776+3 7.704497+1 8.035261+3 6.199119+1 8.709636+3 4.638358+1240023540 1798 9.549926+3 3.356215+1 1.083927+4 2.170756+1 1.355400+4 1.012405+1240023540 1799 1.584893+4 5.777230+0 1.883649+4 3.084633+0 2.264644+4 1.567033+0240023540 1800 2.754229+4 7.572193-1 3.427678+4 3.332258-1 4.216965+4 1.520990-1240023540 1801 8.413951+4 1.090392-2 1.047129+5 4.751280-3 1.258925+5 2.377225-3240023540 1802 1.479108+5 1.306627-3 1.698244+5 7.873891-4 1.927525+5 4.984614-4240023540 1803 2.162719+5 3.311950-4 2.398833+5 2.307067-4 2.660725+5 1.618076-4240023540 1804 2.951209+5 1.143437-4 3.235937+5 8.455775-5 3.548134+5 6.296565-5240023540 1805 3.890451+5 4.723532-5 4.216965+5 3.696895-5 4.570882+5 2.911771-5240023540 1806 4.954502+5 2.308619-5 5.370318+5 1.843639-5 5.821032+5 1.482438-5240023540 1807 6.309573+5 1.199959-5 6.839117+5 9.777489-6 7.413102+5 8.019905-6240023540 1808 8.128305+5 6.444280-6 8.810489+5 5.353874-6 9.440609+5 4.597494-6240023540 1809 1.011579+6 3.975289-6 1.122018+6 3.223737-6 1.216186+6 2.759938-6240023540 1810 1.348963+6 2.278262-6 1.500000+6 1.886100-6 1.678804+6 1.552930-6240023540 1811 1.883649+6 1.282586-6 2.113489+6 1.067477-6 2.398833+6 8.787740-7240023540 1812 2.754229+6 7.163796-7 3.162278+6 5.884528-7 3.672823+6 4.792159-7240023540 1813 4.315191+6 3.871996-7 5.188000+6 3.059936-7 6.165950+6 2.470669-7240023540 1814 7.762471+6 1.876030-7 9.772372+6 1.436187-7 1.258925+7 1.079328-7240023540 1815 1.640590+7 8.065891-8 2.264644+7 5.700180-8 3.349654+7 3.772987-8240023540 1816 5.559043+7 2.232939-8 1.011579+8 1.212053-8 2.018366+8 6.028476-9240023540 1817 8.035261+8 1.505653-9 1.00000+11 1.20760-11 240023540 1818 240023 0 1819 2.400000+4 5.154930+1 0 0 0 0240023541 1820 6.460000+0 0.0 0 0 1 147240023541 1821 147 5 240023541 1822 6.460000+0 1.977848+6 6.760830+0 2.107778+6 7.161434+0 2.264440+6240023541 1823 7.600000+0 2.415940+6 8.128305+0 2.574084+6 8.609938+0 2.698279+6240023541 1824 9.225714+0 2.833722+6 9.885531+0 2.956479+6 1.071519+1 3.083057+6240023541 1825 1.174898+1 3.208131+6 1.310000+1 3.335140+6 1.500000+1 3.469000+6240023541 1826 1.717908+1 3.580008+6 2.018366+1 3.689238+6 2.317395+1 3.755850+6240023541 1827 2.580000+1 3.783520+6 2.818383+1 3.781741+6 3.054921+1 3.755880+6240023541 1828 3.300000+1 3.702920+6 3.548134+1 3.626572+6 3.758374+1 3.545102+6240023541 1829 4.000000+1 3.436800+6 4.265795+1 3.304609+6 4.518559+1 3.169671+6240023541 1830 4.800000+1 3.015240+6 5.128614+1 2.834184+6 5.500000+1 2.634900+6240023541 1831 5.900000+1 2.432140+6 6.382635+1 2.206790+6 6.918310+1 1.982659+6240023541 1832 7.500000+1 1.768514+6 8.128305+1 1.565891+6 8.709636+1 1.401772+6240023541 1833 9.440609+1 1.221856+6 1.011579+2 1.077789+6 1.083927+2 9.444898+5240023541 1834 1.174898+2 8.028010+5 1.273503+2 6.768179+5 1.380384+2 5.667767+5240023541 1835 1.500000+2 4.691520+5 1.640590+2 3.801463+5 1.778279+2 3.126731+5240023541 1836 1.937980+2 2.520000+5 2.113489+2 2.011340+5 2.317395+2 1.571826+5240023541 1837 2.540973+2 1.219925+5 2.818383+2 9.101877+4 3.126079+2 6.738695+4240023541 1838 3.467369+2 4.953375+4 3.890451+2 3.491534+4 4.365158+2 2.444107+4240023541 1839 4.897788+2 1.698309+4 5.495409+2 1.170606+4 6.237348+2 7.709898+3240023541 1840 7.000000+2 5.234200+3 8.000000+2 3.315440+3 9.120108+2 2.103083+3240023541 1841 1.035142+3 1.344028+3 1.174898+3 8.527962+2 1.333521+3 5.371781+2240023541 1842 1.513561+3 3.358848+2 1.717908+3 2.084688+2 1.949845+3 1.284009+2240023541 1843 2.213095+3 7.847315+1 2.483133+3 4.980907+1 2.818383+3 2.995999+1240023541 1844 3.507519+3 1.235893+1 3.890451+3 8.062233+0 4.265795+3 5.475945+0240023541 1845 4.623810+3 3.878196+0 4.731513+3 3.509049+0 5.011872+3 2.683537+0240023541 1846 5.248075+3 2.177012+0 5.432503+3 1.869488+0 5.623413+3 1.613423+0240023541 1847 5.731900+3 1.490848+0 6.237348+3 1.092778+0 6.456542+3 9.574107-1240023541 1848 6.683439+3 8.269149-1 6.918310+3 7.101375-1 7.244360+3 5.759027-1240023541 1849 8.035261+3 3.551631-1 8.609938+3 2.606497-1 9.332543+3 1.831018-1240023541 1850 1.000000+4 1.357861-1 1.161449+4 6.957423-2 1.364583+4 3.360494-2240023541 1851 1.717908+4 1.177186-2 2.187762+4 3.880383-3 3.054921+4 8.300770-4240023541 1852 5.011872+4 8.393444-5 6.760830+4 2.116283-5 8.128305+4 9.126548-6240023541 1853 9.549926+4 4.403995-6 1.109175+5 2.255670-6 1.273503+5 1.225712-6240023541 1854 1.445440+5 7.059879-7 1.621810+5 4.304528-7 1.819701+5 2.643630-7240023541 1855 2.018366+5 1.716519-7 2.238721+5 1.122960-7 2.483133+5 7.399036-8240023541 1856 2.754229+5 4.910350-8 3.054921+5 3.282712-8 3.349654+5 2.309606-8240023541 1857 3.672823+5 1.636090-8 4.000000+5 1.196800-8 4.365158+5 8.760955-9240023541 1858 4.731513+5 6.613020-9 5.188000+5 4.831586-9 5.623413+5 3.695877-9240023541 1859 6.095369+5 2.845133-9 6.606935+5 2.203979-9 7.161434+5 1.718996-9240023541 1860 7.762471+5 1.350387-9 8.511380+5 1.027317-9 8.912509+5 9.00059-10240023541 1861 9.332543+5 7.93222-10 9.772372+5 7.04051-10 1.011579+6 6.47339-10240023541 1862 1.059254+6 5.82674-10 1.109175+6 5.27967-10 1.161449+6 4.81467-10240023541 1863 1.230269+6 4.32295-10 1.333521+6 3.75017-10 1.531087+6 2.97614-10240023541 1864 1.798871+6 2.26363-10 2.000000+6 1.90350-10 2.264644+6 1.56759-10240023541 1865 2.570396+6 1.29546-10 2.951209+6 1.06021-10 3.388442+6 8.73995-11240023541 1866 3.935501+6 7.14173-11 4.677351+6 5.70402-11 5.688529+6 4.45806-11240023541 1867 6.839116+6 3.56419-11 8.511380+6 2.75298-11 1.071519+7 2.11404-11240023541 1868 1.380384+7 1.59285-11 1.905461+7 1.12097-11 2.630268+7 7.95093-12240023541 1869 3.890451+7 5.27691-12 6.606934+7 3.05728-12 1.318257+8 1.51493-12240023541 1870 2.630268+8 7.54657-13 2.089296+9 9.45368-14 1.00000+11 1.97370-15240023541 1871 240023 0 1872 2.400000+4 5.154930+1 0 0 0 0240023542 1873 6.370000+0 0.0 0 0 1 138240023542 1874 138 5 240023542 1875 6.370000+0 3.034500+6 6.606934+0 3.195117+6 6.918310+0 3.389053+6240023542 1876 7.244360+0 3.573768+6 7.673615+0 3.790195+6 8.128305+0 3.989197+6240023542 1877 8.609938+0 4.172980+6 9.225714+0 4.371907+6 9.885531+0 4.549061+6240023542 1878 1.071519+1 4.731819+6 1.174898+1 4.912713+6 1.310000+1 5.093970+6240023542 1879 1.479108+1 5.263193+6 1.730000+1 5.444730+6 2.018366+1 5.585116+6240023542 1880 2.300000+1 5.671650+6 2.580000+1 5.707080+6 2.818383+1 5.697357+6240023542 1881 3.080000+1 5.644140+6 3.311311+1 5.561751+6 3.548134+1 5.444906+6240023542 1882 3.800000+1 5.292630+6 4.027170+1 5.132833+6 4.300000+1 4.923270+6240023542 1883 4.570882+1 4.702651+6 4.900000+1 4.427430+6 5.248075+1 4.140060+6240023542 1884 5.650000+1 3.820080+6 6.025596+1 3.541122+6 6.531306+1 3.196172+6240023542 1885 7.000000+1 2.909988+6 7.585776+1 2.592642+6 8.128305+1 2.333210+6240023542 1886 8.709636+1 2.088073+6 9.332543+1 1.855872+6 9.900000+1 1.669566+6240023542 1887 1.071519+2 1.437045+6 1.150000+2 1.247229+6 1.230269+2 1.083451+6240023542 1888 1.350000+2 8.851290+5 1.479108+2 7.197939+5 1.621810+2 5.801471+5240023542 1889 1.778279+2 4.640356+5 1.949845+2 3.680398+5 2.137962+2 2.893226+5240023542 1890 2.344229+2 2.258178+5 2.570396+2 1.750409+5 2.851018+2 1.304153+5240023542 1891 3.162278+2 9.642585+4 3.507519+2 7.079077+4 3.935501+2 4.983357+4240023542 1892 4.415704+2 3.484314+4 4.954502+2 2.417977+4 5.559043+2 1.664360+4240023542 1893 6.309573+2 1.094563+4 7.079458+2 7.425925+3 8.035261+2 4.810313+3240023542 1894 9.120108+2 3.095644+3 1.035142+3 1.976619+3 1.174898+3 1.253205+3240023542 1895 1.333521+3 7.888038+2 1.513561+3 4.928311+2 1.717908+3 3.055966+2240023542 1896 1.949845+3 1.880348+2 2.187762+3 1.200726+2 2.454709+3 7.601691+1240023542 1897 2.786121+3 4.562817+1 3.185290+3 2.638810+1 3.630781+3 1.533752+1240023542 1898 4.216965+3 8.183100+0 4.897788+3 4.333790+0 5.754399+3 2.169629+0240023542 1899 7.079458+3 8.851931-1 8.317638+3 4.376183-1 9.660509+3 2.259452-1240023542 1900 1.096478+4 1.282182-1 1.288250+4 6.187457-2 1.548817+4 2.669760-2240023542 1901 1.905461+4 1.029316-2 2.426610+4 3.358232-3 3.273407+4 8.323328-4240023542 1902 5.308844+4 8.704283-5 7.079458+4 2.286436-5 8.413951+4 1.032348-5240023542 1903 9.772372+4 5.218218-6 1.122019+5 2.797538-6 1.273503+5 1.591296-6240023542 1904 1.428894+5 9.597462-7 1.584893+5 6.130397-7 1.757924+5 3.943752-7240023542 1905 1.949845+5 2.556474-7 2.137962+5 1.750326-7 2.344229+5 1.206781-7240023542 1906 2.540973+5 8.772338-8 2.754229+5 6.418683-8 3.000000+5 4.643600-8240023542 1907 3.235937+5 3.509872-8 3.507519+5 2.623787-8 3.801894+5 1.975647-8240023542 1908 4.168694+5 1.440174-8 4.466836+5 1.143044-8 4.786301+5 9.131257-9240023542 1909 5.069907+5 7.616730-9 5.432503+5 6.175859-9 5.888437+5 4.873753-9240023542 1910 6.456542+5 3.742878-9 6.918310+5 3.089594-9 7.413102+5 2.567390-9240023542 1911 7.943282+5 2.149707-9 8.511380+5 1.811376-9 9.120108+5 1.537359-9240023542 1912 9.660509+5 1.349586-9 1.023293+6 1.192530-9 1.109175+6 1.011094-9240023542 1913 1.202264+6 8.64282-10 1.303167+6 7.43976-10 1.428894+6 6.31161-10240023542 1914 1.659587+6 4.87238-10 1.862087+6 4.02021-10 2.065380+6 3.40414-10240023542 1915 2.344229+6 2.79867-10 2.660725+6 2.31713-10 3.054921+6 1.89984-10240023542 1916 3.548134+6 1.54441-10 4.120975+6 1.26471-10 4.897788+6 1.01221-10240023542 1917 5.888437+6 8.03918-11 7.161434+6 6.34838-11 8.912509+6 4.91104-11240023542 1918 1.135011+7 3.72786-11 1.513561+7 2.70861-11 2.113489+7 1.88730-11240023542 1919 3.162278+7 1.23255-11 5.069907+7 7.55121-12 8.709636+7 4.34037-12240023542 1920 1.737801+8 2.15640-12 6.918310+8 5.37925-13 1.00000+11 3.71420-15240023542 1921 240023 0 1922 2.400000+4 5.154930+1 0 0 0 0240023543 1923 5.960000+0 0.0 0 0 1 225240023543 1924 225 5 240023543 1925 5.960000+0 6.591749+5 6.200000+0 5.025670+5 6.350000+0 4.239310+5240023543 1926 6.531306+0 3.442199+5 6.683439+0 2.882517+5 6.839116+0 2.398085+5240023543 1927 6.930000+0 2.150200+5 7.079458+0 1.791419+5 7.200000+0 1.541720+5240023543 1928 7.328245+0 1.309817+5 7.460000+0 1.103210+5 7.585776+0 9.321316+4240023543 1929 7.700000+0 7.963420+4 7.810000+0 6.812590+4 7.920000+0 5.799340+4240023543 1930 8.020000+0 4.985520+4 8.128305+0 4.207525+4 8.222426+0 3.610484+4240023543 1931 8.310000+0 3.114830+4 8.380000+0 2.756760+4 8.460000+0 2.385860+4240023543 1932 8.520000+0 2.132630+4 8.600000+0 1.826090+4 8.650000+0 1.651400+4240023543 1933 8.709636+0 1.458973+4 8.770000+0 1.280840+4 8.830000+0 1.119440+4240023543 1934 8.880000+0 9.962130+3 8.940000+0 8.610890+3 9.000000+0 7.391190+3240023543 1935 9.050000+0 6.469530+3 9.100000+0 5.629550+3 9.150000+0 4.867070+3240023543 1936 9.200000+0 4.178340+3 9.240000+0 3.677880+3 9.280000+0 3.220470+3240023543 1937 9.310000+0 2.904570+3 9.350000+0 2.518160+3 9.380000+0 2.253670+3240023543 1938 9.420000+0 1.933400+3 9.460000+0 1.648740+3 9.500000+0 1.398290+3240023543 1939 9.550000+0 1.131110+3 9.620000+0 8.380940+2 9.660000+0 7.107240+2240023543 1940 9.685000+0 6.452160+2 9.707000+0 5.962630+2 9.723000+0 5.656570+2240023543 1941 9.740000+0 5.376590+2 9.755000+0 5.167550+2 9.772372+0 4.969171+2240023543 1942 9.785000+0 4.853940+2 9.800000+0 4.748270+2 9.815000+0 4.675920+2240023543 1943 9.830000+0 4.636370+2 9.845000+0 4.629060+2 9.860000+0 4.653470+2240023543 1944 9.875000+0 4.709090+2 9.890000+0 4.795380+2 9.905000+0 4.911840+2240023543 1945 9.920000+0 5.057970+2 9.937000+0 5.258820+2 9.960000+0 5.588930+2240023543 1946 9.980000+0 5.929350+2 1.001000+1 6.530520+2 1.005000+1 7.495360+2240023543 1947 1.015000+1 1.067270+3 1.020000+1 1.264210+3 1.023293+1 1.406818+3240023543 1948 1.027000+1 1.579020+3 1.031000+1 1.778110+3 1.035142+1 1.998106+3240023543 1949 1.039000+1 2.215040+3 1.044000+1 2.512580+3 1.048000+1 2.763210+3240023543 1950 1.052000+1 3.024430+3 1.057000+1 3.365030+3 1.062000+1 3.720320+3240023543 1951 1.067000+1 4.089330+3 1.073000+1 4.548960+3 1.079000+1 5.025520+3240023543 1952 1.085000+1 5.517580+3 1.092000+1 6.109450+3 1.100000+1 6.806890+3240023543 1953 1.107000+1 7.433450+3 1.115000+1 8.165800+3 1.123000+1 8.913220+3240023543 1954 1.131000+1 9.673490+3 1.142000+1 1.073600+4 1.150000+1 1.151880+4240023543 1955 1.161449+1 1.264992+4 1.172000+1 1.370020+4 1.185000+1 1.499980+4240023543 1956 1.200000+1 1.650050+4 1.216186+1 1.811363+4 1.230269+1 1.950626+4240023543 1957 1.245000+1 2.094720+4 1.260000+1 2.239400+4 1.280000+1 2.428460+4240023543 1958 1.300000+1 2.612520+4 1.320000+1 2.791060+4 1.340000+1 2.963710+4240023543 1959 1.365000+1 3.170850+4 1.390000+1 3.368090+4 1.420000+1 3.591540+4240023543 1960 1.450000+1 3.800620+4 1.480000+1 3.995560+4 1.515000+1 4.205630+4240023543 1961 1.554900+1 4.423166+4 1.603245+1 4.657159+4 1.650000+1 4.854740+4240023543 1962 1.698244+1 5.031683+4 1.757924+1 5.216230+4 1.819701+1 5.371748+4240023543 1963 1.883649+1 5.499716+4 1.950000+1 5.601980+4 2.041738+1 5.700354+4240023543 1964 2.137962+1 5.759603+4 2.238721+1 5.783844+4 2.371374+1 5.772107+4240023543 1965 2.511886+1 5.721083+4 2.691535+1 5.616490+4 2.900000+1 5.461970+4240023543 1966 3.150000+1 5.254560+4 3.467369+1 4.982591+4 3.845918+1 4.669294+4240023543 1967 4.315191+1 4.310392+4 4.897788+1 3.917155+4 5.500000+1 3.564940+4240023543 1968 6.165950+1 3.227248+4 6.918310+1 2.898338+4 7.673615+1 2.611356+4240023543 1969 8.511380+1 2.335112+4 9.332543+1 2.099555+4 1.023293+2 1.875919+4240023543 1970 1.135011+2 1.641068+4 1.273503+2 1.403728+4 1.445440+2 1.173549+4240023543 1971 1.698244+2 9.270528+3 2.137962+2 6.554292+3 2.754229+2 4.450709+3240023543 1972 3.388442+2 3.219650+3 3.890451+2 2.577173+3 4.365158+2 2.124989+3240023543 1973 5.128614+2 1.608625+3 6.095369+2 1.186033+3 7.413102+2 8.322233+2240023543 1974 8.810489+2 6.046317+2 1.047129+3 4.359292+2 1.244515+3 3.118646+2240023543 1975 1.479108+3 2.214338+2 1.757924+3 1.560530+2 2.162719+3 1.016599+2240023543 1976 2.570396+3 7.062701+1 3.000000+3 5.060093+1 3.507519+3 3.576703+1240023543 1977 4.027170+3 2.618495+1 4.570882+3 1.978367+1 4.954502+3 1.645325+1240023543 1978 5.308844+3 1.396417+1 5.698200+3 1.171499+1 5.888437+3 1.073435+1240023543 1979 6.025596+3 1.014724+1 6.165950+3 9.651579+0 6.456542+3 8.832406+0240023543 1980 6.760830+3 7.979945+0 7.161434+3 6.974825+0 7.585776+3 6.051042+0240023543 1981 8.128305+3 5.061467+0 8.810489+3 4.075117+0 1.000000+4 2.868697+0240023543 1982 1.230269+4 1.671634+0 1.462177+4 1.058178+0 1.698244+4 7.064516-1240023543 1983 2.018366+4 4.397351-1 2.398833+4 2.715866-1 2.851018+4 1.665000-1240023543 1984 3.427678+4 9.802751-2 4.168694+4 5.538376-2 5.069907+4 3.105563-2240023543 1985 6.309573+4 1.612681-2 8.222426+4 7.233308-3 1.071519+5 3.222204-3240023543 1986 1.621810+5 9.045851-4 2.065380+5 4.341770-4 2.454709+5 2.585245-4240023543 1987 2.851018+5 1.661732-4 3.273407+5 1.113415-4 3.672823+5 8.029600-5240023543 1988 4.120975+5 5.833466-5 4.570882+5 4.406851-5 5.069907+5 3.354087-5240023543 1989 5.559043+5 2.649597-5 6.095369+5 2.107264-5 6.683439+5 1.688053-5240023543 1990 7.328245+5 1.362064-5 8.035261+5 1.107174-5 8.810489+5 9.066870-6240023543 1991 9.549926+5 7.661998-6 1.059254+6 6.221957-6 1.174898+6 5.077778-6240023543 1992 1.303167+6 4.173702-6 1.445440+6 3.454106-6 1.603245+6 2.879101-6240023543 1993 1.778279+6 2.416527-6 2.000000+6 1.996600-6 2.264644+6 1.644452-6240023543 1994 2.570396+6 1.358973-6 2.951209+6 1.112112-6 3.388442+6 9.167628-7240023543 1995 3.935501+6 7.491079-7 4.623810+6 6.071881-7 5.623413+6 4.743317-7240023543 1996 6.683439+6 3.843022-7 8.317638+6 2.966097-7 1.047129+7 2.276009-7240023543 1997 1.348963+7 1.713856-7 1.819701+7 1.235669-7 2.454709+7 8.972064-8240023543 1998 3.589219+7 6.018793-8 6.095369+7 3.482626-8 1.202264+8 1.744238-8240023543 1999 2.398833+8 8.684636-9 9.549926+8 2.171285-9 1.00000+11 2.07030-11240023543 2000 240023 0 2001 2400 0 0 2002 2.400000+4 5.154930+1 0 0 0 0240027502 2003 0.0 2.400000+1 0 0 2 152240027502 2004 2 2 152 5 240027502 2005 0.0 2.400000+1 1.000000-3 2.400000+1 5.000000-3 2.398500+1240027502 2006 7.187500-3 2.397400+1 8.125000-3 2.397030+1 1.000000-2 2.396400+1240027502 2007 1.500000-2 2.393400+1 1.750000-2 2.390920+1 2.000000-2 2.388400+1240027502 2008 2.500000-2 2.382000+1 3.000000-2 2.374400+1 3.500000-2 2.365280+1240027502 2009 4.000000-2 2.355500+1 4.500000-2 2.344740+1 5.000000-2 2.333100+1240027502 2010 5.500000-2 2.319950+1 6.156200-2 2.301570+1 6.500000-2 2.291620+1240027502 2011 6.718700-2 2.284870+1 7.000000-2 2.276500+1 7.500000-2 2.260960+1240027502 2012 8.250000-2 2.236710+1 8.500000-2 2.228640+1 9.000000-2 2.212100+1240027502 2013 1.000000-1 2.178000+1 1.125000-1 2.134510+1 1.187500-1 2.112350+1240027502 2014 1.250000-1 2.090200+1 1.437500-1 2.022740+1 1.500000-1 2.000500+1240027502 2015 1.687500-1 1.934400+1 1.750000-1 1.912600+1 1.937500-1 1.847100+1240027502 2016 2.000000-1 1.825400+1 2.250000-1 1.738910+1 2.500000-1 1.654600+1240027502 2017 2.750000-1 1.572890+1 2.875000-1 1.533100+1 3.000000-1 1.494300+1240027502 2018 3.250000-1 1.419070+1 3.437500-1 1.365380+1 3.625000-1 1.314280+1240027502 2019 4.000000-1 1.219600+1 4.500000-1 1.108820+1 5.000000-1 1.015300+1240027502 2020 5.500000-1 9.370360+0 6.000000-1 8.723700+0 6.750000-1 7.964980+0240027502 2021 7.000000-1 7.756900+0 7.750000-1 7.236090+0 8.000000-1 7.088600+0240027502 2022 9.000000-1 6.581400+0 1.000000+0 6.145900+0 1.085900+0 5.794720+0240027502 2023 1.144500+0 5.560130+0 1.214800+0 5.281160+0 1.250000+0 5.142200+0240027502 2024 1.335900+0 4.804730+0 1.429700+0 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