73-Ta Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 7.300000+4 1.793940+2 -1 0 0 37300 1451 1 0.0 0.0 0 0 0 67300 1451 2 0.0 0.0 0 0 3 67300 1451 3 0.0 0.0 0 0 154 347300 1451 4 73-TA LLNL Eval-Jul97 D.E.Cullen, et al. 7300 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 7300 1451 6 ---- ENDF/B-VI MATERIAL 7300 7300 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 7300 1451 8 ------ ENDF/B-6 7300 1451 9 =================================================================7300 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 7300 1451 11 ENDF/B-VI format 7300 1451 12 =================================================================7300 1451 13 Contents 7300 1451 14 =================================================================7300 1451 15 MF/MT Description 7300 1451 16 =================================================================7300 1451 17 23/501 Total cross sections 7300 1451 18 23/502 Coherent scattering cross sections 7300 1451 19 23/504 Incoherent scattering cross sections 7300 1451 20 23/515 Pair production cross sections, Electron field 7300 1451 21 23/516 Pair production cross sections, Total 7300 1451 22 23/517 Pair production cross sections, Nuclear field 7300 1451 23 23/522 Total photoionization cross section 7300 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 7300 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 7300 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 7300 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 7300 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 7300 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 7300 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 7300 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 7300 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 7300 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 7300 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 7300 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 7300 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 7300 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 7300 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 7300 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 7300 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 7300 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 7300 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 7300 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 7300 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 7300 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 7300 1451 46 =================================================================7300 1451 47 27/502 Coherent scattering form factors 7300 1451 48 27/504 Incoherent scattering functions 7300 1451 49 27/505 Imaginary anomalous scattering factor 7300 1451 50 27/506 Real anomalous scattering factor 7300 1451 51 =================================================================7300 1451 52 Warning 7300 1451 53 =================================================================7300 1451 54 MF/MT combinations used to define photoionization subshell cross7300 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 7300 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7300 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7300 1451 58 If you are not prepared to use this data you need merely delete 7300 1451 59 it and all of the remaining data will still be consistent and 7300 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 7300 1451 61 However, this will limit the range of problems to which this 7300 1451 62 data can be applied (see: ref. 1 for details). 7300 1451 63 =================================================================7300 1451 64 Definition of new types of data 7300 1451 65 =================================================================7300 1451 66 1) The total photoionization cross section is equal to the sum 7300 1451 67 of the photoionization subshell cross sections. 7300 1451 68 7300 1451 69 For each subshell on the second line of a section the C1 and 7300 1451 70 C2 fields are defined as, 7300 1451 71 7300 1451 72 EPE = The photoionization edge energy (similar to Q-value) 7300 1451 73 EFL = The fluorescence yield (eV/photoionization) 7300 1451 74 7300 1451 75 2) The angular distribution of coherently scattered photons is, 7300 1451 76 7300 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7300 1451 78 7300 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 7300 1451 80 T = The Thomson cross section 7300 1451 81 MU = The cosine of the scattering angle 7300 1451 82 FF(M) = The atomic form factor 7300 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7300 1451 84 F1(E) = The real anomalous scattering factor 7300 1451 85 F2(E) = The imaginary anomalous scattering factor 7300 1451 86 7300 1451 87 F1(E) and F2(E) are isotropic. 7300 1451 88 7300 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 7300 1451 90 using only form factors (the older ENDF/B convention). 7300 1451 91 =================================================================7300 1451 92 Differences between EPDL97 and the data base presented here 7300 1451 93 =================================================================7300 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 7300 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 7300 1451 96 2) Type of Data - EPDL97 - Photon interaction including 7300 1451 97 photoexcitation 7300 1451 98 Here - Photon interaction - ENDF/B-VI has 7300 1451 99 no provision for photoexcitation 7300 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 7300 1451 101 (photons, electrons, positrons) 7300 1451 102 HERE - No secondary energy data 7300 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7300 1451 104 interpolable - the total cross 7300 1451 105 section is not included 7300 1451 106 - Form factors and scattering functions 7300 1451 107 are Log X vs. Log y, except first 7300 1451 108 interval. 7300 1451 109 - Anomalous scattering factors linearly 7300 1451 110 interpolable (they can be negative) 7300 1451 111 Here - Up through ENDF/B-V photon interaction7300 1451 112 cross sections were Log X vs. Log Y. 7300 1451 113 - For the first two Mods. of ENDF/B-VI 7300 1451 114 in order to consistently define the 7300 1451 115 total cross sections at ALL energies 7300 1451 116 all cross sections were linearized. 7300 1451 117 This was NOT a good idea. 7300 1451 118 - Starting with Mod. 3, cross sections 7300 1451 119 are left in Log X vs. Log. Y form so 7300 1451 120 that they are IDENTICAL to what's in 7300 1451 121 EPDL97. 7300 1451 122 The total is defined ONLY at the 7300 1451 123 energies tabulated in any other cross 7300 1451 124 section. 7300 1451 125 WARNING - As a result the total cross section 7300 1451 126 MUST NOT be interpolated to define the7300 1451 127 total between tabulated energies. The 7300 1451 128 ONLY consist way to define the total 7300 1451 129 between tabulated energies is to 7300 1451 130 interpolate all of the partials and 7300 1451 131 add them up. 7300 1451 132 =================================================================7300 1451 133 References 7300 1451 134 =================================================================7300 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7300 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7300 1451 137 graphs of photon interaction cross sections from 10 eV to 100 7300 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7300 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7300 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7300 1451 141 7300 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7300 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7300 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 7300 1451 145 7300 1451 146 These are the primary references to the contents of this library7300 1451 147 and they contain a complete list of references to the sources 7300 1451 148 of data used in this library, methods of evaluation, accuracy 7300 1451 149 of the data, etc. 7300 1451 150 =================================================================7300 1451 151 History 7300 1451 152 =================================================================7300 1451 153 Mod. 1 - October, 1989 - Initial release. 7300 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 7300 1451 155 subshell cross sections. 7300 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 7300 1451 157 =================================================================7300 1451 158 1 451 192 37300 1451 159 23 501 886 37300 1451 160 23 502 393 37300 1451 161 23 504 40 37300 1451 162 23 515 33 37300 1451 163 23 516 54 37300 1451 164 23 517 41 37300 1451 165 23 522 422 37300 1451 166 23 534 19 37300 1451 167 23 535 23 37300 1451 168 23 536 23 37300 1451 169 23 537 23 37300 1451 170 23 538 25 37300 1451 171 23 539 27 37300 1451 172 23 540 28 37300 1451 173 23 541 32 37300 1451 174 23 542 30 37300 1451 175 23 543 29 37300 1451 176 23 544 32 37300 1451 177 23 545 33 37300 1451 178 23 546 49 37300 1451 179 23 547 49 37300 1451 180 23 548 55 37300 1451 181 23 549 55 37300 1451 182 23 550 37 37300 1451 183 23 551 43 37300 1451 184 23 552 43 37300 1451 185 23 553 65 37300 1451 186 23 554 66 37300 1451 187 23 559 43 37300 1451 188 27 502 53 37300 1451 189 27 504 54 37300 1451 190 27 505 167 37300 1451 191 27 506 122 37300 1451 192 7300 1 0 193 7300 0 0 194 7.300000+4 1.793940+2 0 0 0 0730023501 195 0.0 0.0 0 0 1 2648730023501 196 2648 5 730023501 197 1.000000+0 1.882439-2 1.096765+0 2.801263-2 1.166383+0 3.663171-2730023501 198 1.240421+0 4.819492-2 1.258900+0 5.155636-2 1.319159+0 6.380655-2730023501 199 1.399354+0 8.401439-2 1.474614+0 1.078428-1 1.578913+0 1.504365-1730023501 200 1.584900+0 1.532700-1 1.644146+0 1.836700-1 1.705301+0 2.208020-1730023501 201 1.762635+0 2.618295-1 1.816385+0 3.066839-1 1.866776+0 3.553373-1730023501 202 1.958306+0 4.621832-1 1.995300+0 5.136431-1 1.999827+0 5.202516-1730023501 203 2.075245+0 6.439764-1 2.109457+0 7.094992-1 2.141531+0 7.777587-1730023501 204 2.201669+0 9.238271-1 2.254290+0 1.074405+0 2.300333+0 1.227718+0730023501 205 2.340621+0 1.381419+0 2.375873+0 1.533324+0 2.406719+0 1.681524+0730023501 206 2.433709+0 1.825281+0 2.480941+0 2.110328+0 2.511900+0 2.324850+0730023501 207 2.516365+0 2.357306+0 2.542933+0 2.567043+0 2.582785+0 2.926450+0730023501 208 2.629092+0 3.421780+0 2.661369+0 3.833518+0 2.693645+0 4.316649+0730023501 209 2.719466+0 4.766196+0 2.745288+0 5.287868+0 2.780947+0 6.159559+0730023501 210 2.806501+0 6.926519+0 2.828861+0 7.734886+0 2.848426+0 8.585996+0730023501 211 2.865545+0 9.481013+0 2.880524+0 1.042178+1 2.893631+0 1.141147+1730023501 212 2.905099+0 1.245560+1 2.915134+0 1.356257+1 2.923915+0 1.474202+1730023501 213 2.931598+0 1.600077+1 2.938320+0 1.733824+1 2.944203+0 1.874403+1730023501 214 2.949350+0 2.019869+1 2.953853+0 2.167681+1 2.957794+0 2.315098+1730023501 215 2.964690+0 2.619651+1 2.969862+0 2.891691+1 2.976651+0 3.310909+1730023501 216 2.987905+0 4.164514+1 2.992727+0 4.585005+1 2.998238+0 5.095445+1730023501 217 3.000075+0 5.270511+1 3.007423+0 5.978333+1 3.008342+0 6.066112+1730023501 218 3.014771+0 6.660342+1 3.017297+0 6.878539+1 3.022119+0 7.258611+1730023501 219 3.024645+0 7.433850+1 3.027056+0 7.582925+1 3.029467+0 7.712215+1730023501 220 3.032682+0 7.850687+1 3.035782+0 7.944262+1 3.040030+0 8.003748+1730023501 221 3.043647+0 7.988455+1 3.047838+0 7.892962+1 3.051053+0 7.763431+1730023501 222 3.052832+0 7.671239+1 3.055846+0 7.483108+1 3.059090+0 7.238211+1730023501 223 3.062376+0 6.949180+1 3.065490+0 6.641828+1 3.068679+0 6.298302+1730023501 224 3.070913+0 6.043258+1 3.074169+0 5.655012+1 3.077187+0 5.282684+1730023501 225 3.078813+0 5.078799+1 3.082225+0 4.648095+1 3.084791+0 4.324736+1730023501 226 3.087766+0 3.954701+1 3.090090+0 3.671587+1 3.093276+0 3.295291+1730023501 227 3.096060+0 2.980426+1 3.099504+0 2.612275+1 3.102707+0 2.293823+1730023501 228 3.104068+0 2.165862+1 3.107961+0 1.825699+1 3.110971+0 1.589394+1730023501 229 3.113265+0 1.425107+1 3.117098+0 1.180810+1 3.122341+0 9.054165+0730023501 230 3.128539+0 6.605563+0 3.131807+0 5.628702+0 3.134269+0 5.020986+0730023501 231 3.136179+0 4.618985+0 3.138448+0 4.214803+0 3.139948+0 3.988087+0730023501 232 3.141437+0 3.792973+0 3.142915+0 3.626999+0 3.144380+0 3.487841+0730023501 233 3.145835+0 3.373313+0 3.147277+0 3.281366+0 3.150141+0 3.157329+0730023501 234 3.152959+0 3.102750+0 3.155734+0 3.105582+0 3.158465+0 3.155539+0730023501 235 3.161153+0 3.243906+0 3.162300+0 3.299887+0 3.166446+0 3.510237+0730023501 236 3.171573+0 3.857950+0 3.181352+0 4.682341+0 3.190676+0 5.588122+0730023501 237 3.199416+0 6.501023+0 3.207610+0 7.398425+0 3.222974+0 9.184405+0730023501 238 3.249862+0 1.275954+1 3.270027+0 1.612109+1 3.285151+0 1.936738+1730023501 239 3.296494+0 2.244796+1 3.305002+0 2.523950+1 3.316167+0 2.963757+1730023501 240 3.332573+0 3.761054+1 3.338721+0 4.094515+1 3.344869+0 4.434722+1730023501 241 3.346919+0 4.547643+1 3.355116+0 4.983216+1 3.357166+0 5.085214+1730023501 242 3.363314+0 5.364879+1 3.365363+0 5.447238+1 3.371512+0 5.653193+1730023501 243 3.373561+0 5.706240+1 3.376635+0 5.769410+1 3.379709+0 5.811589+1730023501 244 3.381759+0 5.827431+1 3.384833+0 5.832072+1 3.387907+0 5.813206+1730023501 245 3.392006+0 5.751058+1 3.396105+0 5.647126+1 3.400204+0 5.503184+1730023501 246 3.404302+0 5.322311+1 3.405327+0 5.271800+1 3.410707+0 4.976341+1730023501 247 3.413012+0 4.836324+1 3.421210+0 4.295273+1 3.423852+0 4.113066+1730023501 248 3.430368+0 3.665722+1 3.443525+0 2.867767+1 3.447340+0 2.684332+1730023501 249 3.450030+0 2.571673+1 3.453488+0 2.448690+1 3.457587+0 2.336475+1730023501 250 3.459637+0 2.294436+1 3.461686+0 2.261903+1 3.462711+0 2.249211+1730023501 251 3.466297+0 2.223507+1 3.468987+0 2.223144+1 3.469884+0 2.226571+1730023501 252 3.478081+0 2.336851+1 3.479106+0 2.360196+1 3.482692+0 2.457483+1730023501 253 3.486279+0 2.577731+1 3.490378+0 2.741049+1 3.565372+0 9.240572+1730023501 254 3.574234+0 1.078094+2 3.581988+0 1.247547+2 3.588773+0 1.431167+2730023501 255 3.594710+0 1.626023+2 3.599905+0 1.828150+2 3.604450+0 2.033207+2730023501 256 3.611908+0 2.435913+2 3.624278+0 3.321070+2 3.636268+0 4.482509+2730023501 257 3.642465+0 5.208075+2 3.645218+0 5.557287+2 3.649693+0 6.158178+2730023501 258 3.654168+0 6.796811+2 3.663119+0 8.163671+2 3.664237+0 8.340573+2730023501 259 3.672069+0 9.593592+2 3.675145+0 1.008419+3 3.681784+0 1.111262+3730023501 260 3.685731+0 1.168966+3 3.690440+0 1.232821+3 3.695091+0 1.289041+3730023501 261 3.699483+0 1.334536+3 3.703152+0 1.366029+3 3.707427+0 1.394442+3730023501 262 3.712624+0 1.415990+3 3.717099+0 1.422482+3 3.718657+0 1.422059+3730023501 263 3.723103+0 1.413203+3 3.727510+0 1.393383+3 3.731863+0 1.363415+3730023501 264 3.735979+0 1.326174+3 3.737361+0 1.311855+3 3.744084+0 1.230550+3730023501 265 3.748275+0 1.171395+3 3.752654+0 1.104131+3 3.756898+0 1.034881+3730023501 266 3.761395+0 9.585762+2 3.765388+0 8.894462+2 3.769559+0 8.169468+2730023501 267 3.774996+0 7.236503+2 3.778912+0 6.583452+2 3.780590+0 6.310261+2730023501 268 3.784506+0 5.691610+2 3.788421+0 5.103011+2 3.797931+0 3.819260+2730023501 269 3.800815+0 3.474040+2 3.803569+0 3.164320+2 3.806322+0 2.873969+2730023501 270 3.810238+0 2.494069+2 3.815036+0 2.080105+2 3.819098+0 1.772189+2730023501 271 3.823579+0 1.475118+2 3.827356+0 1.257129+2 3.831895+0 1.031299+2730023501 272 3.836156+0 8.520613+1 3.850076+0 4.507382+1 3.851781+0 4.177990+1730023501 273 3.854337+0 3.739447+1 3.856894+0 3.363298+1 3.859025+0 3.094262+1730023501 274 3.861417+0 2.837111+1 3.863415+0 2.656583+1 3.865142+0 2.524338+1730023501 275 3.865985+0 2.467410+1 3.868257+0 2.337921+1 3.875075+0 2.142828+1730023501 276 3.876412+0 2.135968+1 3.879044+0 2.150431+1 3.884143+0 2.279131+1730023501 277 3.903266+0 3.884929+1 3.910437+0 4.980784+1 3.931209+0 1.038046+2730023501 278 3.965508+0 3.491720+2 3.975257+0 4.894294+2 3.981100+0 5.963349+2730023501 279 3.982568+0 6.266527+2 3.989880+0 7.966021+2 3.995158+0 9.421526+2730023501 280 4.000872+0 1.123241+3 4.006188+0 1.314796+3 4.009377+0 1.440715+3730023501 281 4.014036+0 1.639578+3 4.018696+0 1.855892+3 4.028874+0 2.384999+3730023501 282 4.030093+0 2.453014+3 4.038623+0 2.951128+3 4.041974+0 3.154869+3730023501 283 4.048371+0 3.549959+3 4.053322+0 3.855697+3 4.058120+0 4.146511+3730023501 284 4.063092+0 4.436552+3 4.067911+0 4.701194+3 4.072217+0 4.919586+3730023501 285 4.076975+0 5.136502+3 4.078369+0 5.194559+3 4.084136+0 5.405238+3730023501 286 4.088640+0 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2.089990+5730023522 1841 4.570882+3 1.974591+5 4.623810+3 1.919430+5 4.650000+3 1.892746+5730023522 1842 4.677351+3 1.865189+5 4.731513+3 1.812160+5 4.841724+3 1.710268+5730023522 1843 4.954502+3 1.614402+5 5.011872+3 1.568570+5 5.069907+3 1.523844+5730023522 1844 5.128614+3 1.480460+5 5.188000+3 1.438164+5 5.248075+3 1.396945+5730023522 1845 5.300000+3 1.362646+5 5.308844+3 1.356923+5 5.432503+3 1.280202+5730023522 1846 5.477200+3 1.254016+5 5.495409+3 1.243570+5 5.559043+3 1.208041+5730023522 1847 5.623413+3 1.173440+5 5.800000+3 1.085494+5 5.821032+3 1.075595+5730023522 1848 5.888437+3 1.044557+5 6.000000+3 9.959084+4 6.025596+3 9.851611+4730023522 1849 6.095369+3 9.566102+4 6.165950+3 9.289310+4 6.237348+3 9.020903+4730023522 1850 6.382635+3 8.508344+4 6.456542+3 8.261083+4 6.531306+3 8.021206+4730023522 1851 6.606934+3 7.788454+4 6.683439+3 7.561706+4 6.760830+3 7.341852+4730023522 1852 6.839116+3 7.128430+4 6.918310+3 6.921381+4 6.998420+3 6.720047+4730023522 1853 7.000000+3 6.716161+4 7.161434+3 6.334070+4 7.244360+3 6.149772+4730023522 1854 7.328245+3 5.970749+4 7.413102+3 5.796096+4 7.498942+3 5.626102+4730023522 1855 7.585776+3 5.461334+4 7.673615+3 5.301598+4 7.762471+3 5.146307+4730023522 1856 7.800000+3 5.082678+4 7.852356+3 4.995729+4 7.943282+3 4.849332+4730023522 1857 8.000000+3 4.761117+4 8.035261+3 4.707234+4 8.128305+3 4.569106+4730023522 1858 8.222426+3 4.434397+4 8.413951+3 4.177020+4 8.609938+3 3.934355+4730023522 1859 8.709636+3 3.818590+4 8.810489+3 3.706390+4 9.000000+3 3.506503+4730023522 1860 9.015711+3 3.490631+4 9.120108+3 3.387674+4 9.225714+3 3.287818+4730023522 1861 9.332543+3 3.190392+4 9.440609+3 3.095875+4 9.549926+3 3.004049+4730023522 1862 9.660509+3 2.914779+4 9.772372+3 2.828242+4 9.879200+3 2.748966+4730023522 1863 9.879200+3 7.242262+4 9.885531+3 7.231076+4 9.985000+3 7.058538+4730023522 1864 1.000000+4 7.031538+4 1.011579+4 6.827706+4 1.023293+4 6.623145+4730023522 1865 1.047129+4 6.232445+4 1.059254+4 6.045605+4 1.071519+4 5.864383+4730023522 1866 1.080000+4 5.740604+4 1.083927+4 5.684473+4 1.096478+4 5.509913+4730023522 1867 1.109175+4 5.340793+4 1.116300+4 5.249021+4 1.116300+4 7.242396+4730023522 1868 1.122018+4 7.151300+4 1.132500+4 6.988370+4 1.135011+4 6.948116+4730023522 1869 1.148154+4 6.742442+4 1.155000+4 6.638658+4 1.161449+4 6.539822+4730023522 1870 1.165600+4 6.477167+4 1.165600+4 7.492046+4 1.174898+4 7.338447+4730023522 1871 1.185000+4 7.180361+4 1.188502+4 7.127896+4 1.202264+4 6.926971+4730023522 1872 1.216186+4 6.728104+4 1.230269+4 6.533539+4 1.244515+4 6.344641+4730023522 1873 1.258925+4 6.162708+4 1.273503+4 5.986142+4 1.288250+4 5.812606+4730023522 1874 1.290000+4 5.792290+4 1.303167+4 5.642576+4 1.333521+4 5.317549+4730023522 1875 1.348963+4 5.162064+4 1.364583+4 5.011257+4 1.380384+4 4.864935+4730023522 1876 1.396368+4 4.723005+4 1.400000+4 4.691569+4 1.412538+4 4.585249+4730023522 1877 1.428894+4 4.450760+4 1.445440+4 4.319361+4 1.450000+4 4.284108+4730023522 1878 1.462177+4 4.191861+4 1.479108+4 4.068208+4 1.500000+4 3.922495+4730023522 1879 1.531087+4 3.718954+4 1.540000+4 3.663282+4 1.548817+4 3.608927+4730023522 1880 1.566751+4 3.501793+4 1.584893+4 3.397923+4 1.603245+4 3.296583+4730023522 1881 1.621810+4 3.198303+4 1.640590+4 3.103031+4 1.659587+4 3.010580+4730023522 1882 1.664540+4 2.987114+4 1.670000+4 2.961540+4 1.678804+4 2.920775+4730023522 1883 1.698244+4 2.833512+4 1.717908+4 2.748911+4 1.737801+4 2.667389+4730023522 1884 1.757924+4 2.588006+4 1.778279+4 2.510974+4 1.820000+4 2.362895+4730023522 1885 1.862087+4 2.224567+4 1.883649+4 2.157984+4 1.905461+4 2.093331+4730023522 1886 1.927525+4 2.030666+4 1.949845+4 1.969300+4 1.950000+4 1.968883+4730023522 1887 1.972423+4 1.909760+4 2.000000+4 1.840305+4 2.018366+4 1.795992+4730023522 1888 2.065380+4 1.689109+4 2.089296+4 1.638141+4 2.113489+4 1.588710+4730023522 1889 2.137962+4 1.540809+4 2.150000+4 1.517967+4 2.162719+4 1.494173+4730023522 1890 2.213095+4 1.404876+4 2.238721+4 1.362254+4 2.264644+4 1.320953+4730023522 1891 2.290868+4 1.280937+4 2.317395+4 1.242169+4 2.344229+4 1.204596+4730023522 1892 2.350000+4 1.196723+4 2.371374+4 1.167966+4 2.398833+4 1.132414+4730023522 1893 2.426610+4 1.097971+4 2.454709+4 1.064341+4 2.483133+4 1.031738+4730023522 1894 2.500000+4 1.013031+4 2.540973+4 9.695077+3 2.570396+4 9.398146+3730023522 1895 2.630268+4 8.831886+3 2.660725+4 8.562013+3 2.691535+4 8.300535+3730023522 1896 2.722701+4 8.045228+3 2.754229+4 7.797968+3 2.786121+4 7.558474+3730023522 1897 2.818383+4 7.326513+3 2.851018+4 7.101618+3 2.917427+4 6.672826+3730023522 1898 2.985383+4 6.269693+3 3.019952+4 6.077559+3 3.054921+4 5.889035+3730023522 1899 3.235937+4 5.032256+3 3.273407+4 4.876822+3 3.349654+4 4.580312+3730023522 1900 3.388442+4 4.438869+3 3.427678+4 4.301327+3 3.467369+4 4.168008+3730023522 1901 3.548134+4 3.913848+3 3.589219+4 3.792759+3 3.630781+4 3.675508+3730023522 1902 3.672823+4 3.561195+3 3.758374+4 3.342404+3 3.845918+4 3.137354+3730023522 1903 3.890451+4 3.039635+3 3.935501+4 2.944938+3 3.981072+4 2.853254+3730023522 1904 4.000000+4 2.816336+3 4.027170+4 2.764479+3 4.073803+4 2.678519+3730023522 1905 4.120975+4 2.595181+3 4.168694+4 2.514479+3 4.216965+4 2.435951+3730023522 1906 4.315191+4 2.285881+3 4.415704+4 2.145252+3 4.466836+4 2.078287+3730023522 1907 4.518559+4 2.013214+3 4.570882+4 1.950186+3 4.731513+4 1.772803+3730023522 1908 4.786301+4 1.717064+3 4.800000+4 1.703506+3 4.841724+4 1.663063+3730023522 1909 4.897788+4 1.610762+3 5.069907+4 1.463705+3 5.128614+4 1.417794+3730023522 1910 5.188000+4 1.373350+3 5.248075+4 1.330228+3 5.370318+4 1.248087+3730023522 1911 5.500000+4 1.168320+3 5.559043+4 1.134232+3 5.623413+4 1.098353+3730023522 1912 5.688529+4 1.063631+3 5.754399+4 1.029978+3 5.821032+4 9.974066+2730023522 1913 6.025596+4 9.058557+2 6.237348+4 8.228607+2 6.456542+4 7.476087+2730023522 1914 6.531306+4 7.241009+2 6.606934+4 7.012931+2 6.683439+4 6.790659+2730023522 1915 6.756500+4 6.587282+2 6.756500+4 3.373861+3 6.760830+4 3.368391+3730023522 1916 6.806000+4 3.312047+3 6.839116+4 3.271575+3 6.918310+4 3.177554+3730023522 1917 6.998420+4 3.086213+3 7.000000+4 3.084448+3 7.079458+4 2.991914+3730023522 1918 7.161434+4 2.900399+3 7.500000+4 2.581126+3 7.673615+4 2.429604+3730023522 1919 7.762471+4 2.356787+3 7.852356+4 2.286071+3 8.035261+4 2.150954+3730023522 1920 8.056470+4 2.136006+3 8.128305+4 2.086416+3 8.222426+4 2.023814+3730023522 1921 8.317638+4 1.963097+3 8.413951+4 1.904762+3 8.609938+4 1.793260+3730023522 1922 9.015711+4 1.589535+3 9.120108+4 1.542343+3 9.225714+4 1.496558+3730023522 1923 9.332543+4 1.452083+3 9.440609+4 1.408931+3 9.660509+4 1.324447+3730023522 1924 9.772372+4 1.284121+3 1.000000+5 1.207121+3 1.011580+5 1.170373+3730023522 1925 1.023293+5 1.134750+3 1.035142+5 1.100214+3 1.059254+5 1.034271+3730023522 1926 1.071519+5 1.002804+3 1.083927+5 9.722945+2 1.109175+5 9.140421+2730023522 1927 1.122019+5 8.862099+2 1.188502+5 7.592936+2 1.230269+5 6.920522+2730023522 1928 1.244515+5 6.709914+2 1.258925+5 6.503298+2 1.288250+5 6.108971+2730023522 1929 1.303167+5 5.920896+2 1.318257+5 5.738623+2 1.333521+5 5.562016+2730023522 1930 1.364583+5 5.224961+2 1.380384+5 5.064223+2 1.428894+5 4.610740+2730023522 1931 1.462177+5 4.331259+2 1.479108+5 4.197952+2 1.513561+5 3.943542+2730023522 1932 1.531088+5 3.822186+2 1.548817+5 3.704578+2 1.566751+5 3.590582+2730023522 1933 1.584893+5 3.480095+2 1.611800+5 3.324640+2 1.621810+5 3.269235+2730023522 1934 1.659587+5 3.071174+2 1.678804+5 2.976714+2 1.698244+5 2.885192+2730023522 1935 1.717908+5 2.796523+2 1.737801+5 2.710578+2 1.757924+5 2.627281+2730023522 1936 1.798871+5 2.468303+2 1.819701+5 2.392463+2 1.840772+5 2.318959+2730023522 1937 1.905461+5 2.111738+2 1.972423+5 1.923065+2 1.995262+5 1.864005+2730023522 1938 2.000000+5 1.852065+2 2.018366+5 1.806765+2 2.041738+5 1.751329+2730023522 1939 2.089296+5 1.645518+2 2.113489+5 1.595039+2 2.137962+5 1.546110+2730023522 1940 2.213095+5 1.408157+2 2.213400+5 1.407632+2 2.238721+5 1.364969+2730023522 1941 2.264644+5 1.323107+2 2.317395+5 1.243198+2 2.344229+5 1.205466+2730023522 1942 2.371374+5 1.168893+2 2.398833+5 1.133434+2 2.400000+5 1.131960+2730023522 1943 2.426610+5 1.099066+2 2.454709+5 1.065742+2 2.483133+5 1.033438+2730023522 1944 2.540973+5 9.717423+1 2.570396+5 9.422916+1 2.600160+5 9.137342+1730023522 1945 2.630268+5 8.860465+1 2.660725+5 8.592300+1 2.691535+5 8.332259+1730023522 1946 2.722701+5 8.080200+1 2.754229+5 7.835787+1 2.800000+5 7.498723+1730023522 1947 2.851018+5 7.150946+1 2.884032+5 6.937677+1 2.917427+5 6.730787+1730023522 1948 2.951209+5 6.530071+1 3.019952+5 6.146432+1 3.054921+5 5.963178+1730023522 1949 3.090295+5 5.785529+1 3.126079+5 5.613190+1 3.162278+5 5.445990+1730023522 1950 3.198895+5 5.283781+1 3.235937+5 5.126711+1 3.273407+5 4.974320+1730023522 1951 3.311311+5 4.828790+1 3.349654+5 4.687524+1 3.388442+5 4.550392+1730023522 1952 3.427678+5 4.417279+1 3.467369+5 4.288114+1 3.507519+5 4.162755+1730023522 1953 3.548134+5 4.041066+1 3.589219+5 3.922938+1 3.630781+5 3.808262+1730023522 1954 3.672823+5 3.697045+1 3.715352+5 3.589078+1 3.758374+5 3.484267+1730023522 1955 3.801894+5 3.384436+1 3.845918+5 3.287468+1 3.890451+5 3.193321+1730023522 1956 3.935501+5 3.101879+1 4.000000+5 2.977225+1 4.027170+5 2.926806+1730023522 1957 4.073803+5 2.843012+1 4.120975+5 2.761621+1 4.168694+5 2.682596+1730023522 1958 4.216965+5 2.605875+1 4.265795+5 2.532737+1 4.315191+5 2.461685+1730023522 1959 4.365158+5 2.392636+1 4.415705+5 2.325665+1 4.466836+5 2.260572+1730023522 1960 4.518559+5 2.197309+1 4.623810+5 2.076047+1 4.677351+5 2.017979+1730023522 1961 4.731513+5 1.961535+1 4.786301+5 1.906695+1 4.841724+5 1.854485+1730023522 1962 4.897788+5 1.803707+1 5.011872+5 1.706289+1 5.069907+5 1.659689+1730023522 1963 5.128614+5 1.614363+1 5.188000+5 1.570276+1 5.248075+5 1.527414+1730023522 1964 5.308844+5 1.485742+1 5.370318+5 1.445210+1 5.432503+5 1.406640+1730023522 1965 5.495409+5 1.369124+1 5.559043+5 1.332608+1 5.623413+5 1.297069+1730023522 1966 5.688529+5 1.262482+1 5.754399+5 1.228899+1 5.821032+5 1.196225+1730023522 1967 5.888437+5 1.164435+1 5.956621+5 1.133494+1 6.000000+5 1.114417+1730023522 1968 6.025596+5 1.103375+1 6.095369+5 1.074720+1 6.165950+5 1.046810+1730023522 1969 6.237348+5 1.019645+1 6.309573+5 9.931892+0 6.382635+5 9.674200+0730023522 1970 6.456542+5 9.423434+0 6.531306+5 9.179791+0 6.606935+5 8.942484+0730023522 1971 6.683439+5 8.711317+0 6.760830+5 8.486131+0 6.839117+5 8.271918+0730023522 1972 6.918310+5 8.063117+0 6.998420+5 7.859615+0 7.079458+5 7.661472+0730023522 1973 7.161434+5 7.468333+0 7.244360+5 7.280064+0 7.328245+5 7.096569+0730023522 1974 7.413102+5 6.918268+0 7.498942+5 6.744453+0 7.585776+5 6.575008+0730023522 1975 7.673615+5 6.413770+0 7.762471+5 6.256550+0 7.852356+5 6.103185+0730023522 1976 8.000000+5 5.863123+0 8.035261+5 5.807840+0 8.128305+5 5.665665+0730023522 1977 8.222427+5 5.526972+0 8.317638+5 5.392080+0 8.413951+5 5.260485+0730023522 1978 8.511380+5 5.135332+0 8.609938+5 5.013158+0 8.709636+5 4.893959+0730023522 1979 8.810489+5 4.777700+0 8.912509+5 4.664301+0 9.015711+5 4.553614+0730023522 1980 9.120108+5 4.445557+0 9.225714+5 4.340391+0 9.332543+5 4.237772+0730023522 1981 9.440609+5 4.140296+0 9.549926+5 4.045158+0 9.660509+5 3.952222+0730023522 1982 9.772372+5 3.861425+0 9.885531+5 3.772855+0 1.000000+6 3.686319+0730023522 1983 1.011579+6 3.601777+0 1.023293+6 3.519483+0 1.035142+6 3.439075+0730023522 1984 1.047129+6 3.362156+0 1.059254+6 3.286999+0 1.071519+6 3.213525+0730023522 1985 1.083927+6 3.141689+0 1.096478+6 3.071462+0 1.109175+6 3.002812+0730023522 1986 1.122018+6 2.935753+0 1.135011+6 2.870232+0 1.148154+6 2.806206+0730023522 1987 1.161449+6 2.743611+0 1.174898+6 2.682412+0 1.188502+6 2.622748+0730023522 1988 1.202264+6 2.565808+0 1.216186+6 2.510111+0 1.230269+6 2.455666+0730023522 1989 1.244515+6 2.402404+0 1.258925+6 2.350327+0 1.273503+6 2.299376+0730023522 1990 1.288250+6 2.249573+0 1.303167+6 2.200853+0 1.318257+6 2.153192+0730023522 1991 1.333521+6 2.106712+0 1.348963+6 2.062477+0 1.364583+6 2.019172+0730023522 1992 1.380384+6 1.976776+0 1.412538+6 1.894668+0 1.445440+6 1.815972+0730023522 1993 1.462177+6 1.777893+0 1.479108+6 1.740616+0 1.496236+6 1.704119+0730023522 1994 1.500000+6 1.696284+0 1.513561+6 1.668514+0 1.531087+6 1.634722+0730023522 1995 1.566751+6 1.569175+0 1.621810+6 1.475752+0 1.640590+6 1.445889+0730023522 1996 1.678804+6 1.387966+0 1.698244+6 1.359890+0 1.717908+6 1.332471+0730023522 1997 1.737801+6 1.306336+0 1.757924+6 1.280730+0 1.778279+6 1.255628+0730023522 1998 1.819701+6 1.206888+0 1.840772+6 1.183233+0 1.862087+6 1.160061+0730023522 1999 1.883649+6 1.137343+0 1.905461+6 1.115069+0 1.927525+6 1.093241+0730023522 2000 1.949845+6 1.071906+0 1.972423+6 1.051546+0 2.000000+6 1.027522+0730023522 2001 2.018366+6 1.012006+0 2.041738+6 9.927969-1 2.044000+6 9.909689-1730023522 2002 2.065380+6 9.739531-1 2.089296+6 9.554667-1 2.113489+6 9.373477-1730023522 2003 2.162719+6 9.021349-1 2.187762+6 8.850352-1 2.213095+6 8.683163-1730023522 2004 2.238721+6 8.523979-1 2.264644+6 8.367825-1 2.290868+6 8.214531-1730023522 2005 2.317395+6 8.064048-1 2.344229+6 7.916325-1 2.371374+6 7.771306-1730023522 2006 2.398833+6 7.629080-1 2.454709+6 7.352397-1 2.483133+6 7.217898-1730023522 2007 2.511886+6 7.086303-1 2.540973+6 6.960858-1 2.570396+6 6.837725-1730023522 2008 2.600160+6 6.716772-1 2.630268+6 6.597960-1 2.660725+6 6.481250-1730023522 2009 2.722701+6 6.253986-1 2.754229+6 6.143461-1 2.818383+6 5.928248-1730023522 2010 2.851018+6 5.823529-1 2.884032+6 5.720990-1 2.917427+6 5.623055-1730023522 2011 2.951209+6 5.526860-1 3.000000+6 5.392690-1 3.019952+6 5.339381-1730023522 2012 3.090295+6 5.158265-1 3.162278+6 4.983289-1 3.198895+6 4.898118-1730023522 2013 3.273407+6 4.732119-1 3.311311+6 4.651275-1 3.349654+6 4.572071-1730023522 2014 3.388442+6 4.496405-1 3.427678+6 4.422046-1 3.467369+6 4.348917-1730023522 2015 3.507519+6 4.276998-1 3.589219+6 4.136710-1 3.672823+6 4.001022-1730023522 2016 3.715352+6 3.934915-1 3.801894+6 3.805963-1 3.845918+6 3.743105-1730023522 2017 3.890451+6 3.681490-1 3.935501+6 3.622599-1 4.000000+6 3.541104-1730023522 2018 4.027170+6 3.507711-1 4.073803+6 3.451640-1 4.168694+6 3.342175-1730023522 2019 4.265795+6 3.236182-1 4.315191+6 3.184496-1 4.466836+6 3.034346-1730023522 2020 4.518559+6 2.985906-1 4.570882+6 2.938394-1 4.623810+6 2.892947-1730023522 2021 4.677351+6 2.848233-1 4.731513+6 2.804211-1 4.786301+6 2.760869-1730023522 2022 4.897788+6 2.676187-1 5.011872+6 2.594101-1 5.069907+6 2.554041-1730023522 2023 5.308844+6 2.399899-1 5.370318+6 2.362854-1 5.432503+6 2.326496-1730023522 2024 5.495409+6 2.291678-1 5.559043+6 2.257405-1 5.623413+6 2.223646-1730023522 2025 5.688529+6 2.190392-1 5.821032+6 2.125367-1 5.956621+6 2.062273-1730023522 2026 6.025596+6 2.031458-1 6.309573+6 1.912739-1 6.382635+6 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