51-Sb Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 5.100000+4 1.207040+2 -1 0 0 35100 1451 1 0.0 0.0 0 0 0 65100 1451 2 0.0 0.0 0 0 3 65100 1451 3 0.0 0.0 0 0 149 295100 1451 4 51-SB LLNL Eval-Jul97 D.E.Cullen, et al. 5100 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 5100 1451 6 ---- ENDF/B-VI MATERIAL 5100 5100 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 5100 1451 8 ------ ENDF/B-6 5100 1451 9 =================================================================5100 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 5100 1451 11 ENDF/B-VI format 5100 1451 12 =================================================================5100 1451 13 Contents 5100 1451 14 =================================================================5100 1451 15 MF/MT Description 5100 1451 16 =================================================================5100 1451 17 23/501 Total cross sections 5100 1451 18 23/502 Coherent scattering cross sections 5100 1451 19 23/504 Incoherent scattering cross sections 5100 1451 20 23/515 Pair production cross sections, Electron field 5100 1451 21 23/516 Pair production cross sections, Total 5100 1451 22 23/517 Pair production cross sections, Nuclear field 5100 1451 23 23/522 Total photoionization cross section 5100 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 5100 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 5100 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 5100 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 5100 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 5100 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 5100 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 5100 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 5100 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 5100 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 5100 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 5100 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 5100 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 5100 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 5100 1451 38 23/550 O1 (5S1/2) Photoionization subshell cross section 5100 1451 39 23/551 O2 (5P1/2) Photoionization subshell cross section 5100 1451 40 23/552 O3 (5P3/2) Photoionization subshell cross section 5100 1451 41 =================================================================5100 1451 42 27/502 Coherent scattering form factors 5100 1451 43 27/504 Incoherent scattering functions 5100 1451 44 27/505 Imaginary anomalous scattering factor 5100 1451 45 27/506 Real anomalous scattering factor 5100 1451 46 =================================================================5100 1451 47 Warning 5100 1451 48 =================================================================5100 1451 49 MF/MT combinations used to define photoionization subshell cross5100 1451 50 sections (MF=23, MT=534-572) and coherent anomalous scattering 5100 1451 51 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 5100 1451 52 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 5100 1451 53 If you are not prepared to use this data you need merely delete 5100 1451 54 it and all of the remaining data will still be consistent and 5100 1451 55 equivalent to the types of data in earlier versions of ENDF/B. 5100 1451 56 However, this will limit the range of problems to which this 5100 1451 57 data can be applied (see: ref. 1 for details). 5100 1451 58 =================================================================5100 1451 59 Definition of new types of data 5100 1451 60 =================================================================5100 1451 61 1) The total photoionization cross section is equal to the sum 5100 1451 62 of the photoionization subshell cross sections. 5100 1451 63 5100 1451 64 For each subshell on the second line of a section the C1 and 5100 1451 65 C2 fields are defined as, 5100 1451 66 5100 1451 67 EPE = The photoionization edge energy (similar to Q-value) 5100 1451 68 EFL = The fluorescence yield (eV/photoionization) 5100 1451 69 5100 1451 70 2) The angular distribution of coherently scattered photons is, 5100 1451 71 5100 1451 72 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5100 1451 73 5100 1451 74 S(E,MU) = Angular distributions (barns per unit cosine) 5100 1451 75 T = The Thomson cross section 5100 1451 76 MU = The cosine of the scattering angle 5100 1451 77 FF(M) = The atomic form factor 5100 1451 78 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 5100 1451 79 F1(E) = The real anomalous scattering factor 5100 1451 80 F2(E) = The imaginary anomalous scattering factor 5100 1451 81 5100 1451 82 F1(E) and F2(E) are isotropic. 5100 1451 83 5100 1451 84 When F1(E) = F2(E) = 0 this reduces to the result obtained 5100 1451 85 using only form factors (the older ENDF/B convention). 5100 1451 86 =================================================================5100 1451 87 Differences between EPDL97 and the data base presented here 5100 1451 88 =================================================================5100 1451 89 1) Energy range - EPDL97 - 1 eV to 100 GeV 5100 1451 90 Here - 1 eV TO 100 GeV (previously 100 MeV) 5100 1451 91 2) Type of Data - EPDL97 - Photon interaction including 5100 1451 92 photoexcitation 5100 1451 93 Here - Photon interaction - ENDF/B-VI has 5100 1451 94 no provision for photoexcitation 5100 1451 95 3) Secondary E - EPDL97 - Average energy of each secondary 5100 1451 96 (photons, electrons, positrons) 5100 1451 97 HERE - No secondary energy data 5100 1451 98 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 5100 1451 99 interpolable - the total cross 5100 1451 100 section is not included 5100 1451 101 - Form factors and scattering functions 5100 1451 102 are Log X vs. Log y, except first 5100 1451 103 interval. 5100 1451 104 - Anomalous scattering factors linearly 5100 1451 105 interpolable (they can be negative) 5100 1451 106 Here - Up through ENDF/B-V photon interaction5100 1451 107 cross sections were Log X vs. Log Y. 5100 1451 108 - For the first two Mods. of ENDF/B-VI 5100 1451 109 in order to consistently define the 5100 1451 110 total cross sections at ALL energies 5100 1451 111 all cross sections were linearized. 5100 1451 112 This was NOT a good idea. 5100 1451 113 - Starting with Mod. 3, cross sections 5100 1451 114 are left in Log X vs. Log. Y form so 5100 1451 115 that they are IDENTICAL to what's in 5100 1451 116 EPDL97. 5100 1451 117 The total is defined ONLY at the 5100 1451 118 energies tabulated in any other cross 5100 1451 119 section. 5100 1451 120 WARNING - As a result the total cross section 5100 1451 121 MUST NOT be interpolated to define the5100 1451 122 total between tabulated energies. The 5100 1451 123 ONLY consist way to define the total 5100 1451 124 between tabulated energies is to 5100 1451 125 interpolate all of the partials and 5100 1451 126 add them up. 5100 1451 127 =================================================================5100 1451 128 References 5100 1451 129 =================================================================5100 1451 130 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 5100 1451 131 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 5100 1451 132 graphs of photon interaction cross sections from 10 eV to 100 5100 1451 133 GeV derived from the LLNL Evaluated Photon data library (EPDL), 5100 1451 134 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 5100 1451 135 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 5100 1451 136 5100 1451 137 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 5100 1451 138 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 5100 1451 139 Rev. 5, Lawrence Livermore National Laboratory (1997) 5100 1451 140 5100 1451 141 These are the primary references to the contents of this library5100 1451 142 and they contain a complete list of references to the sources 5100 1451 143 of data used in this library, methods of evaluation, accuracy 5100 1451 144 of the data, etc. 5100 1451 145 =================================================================5100 1451 146 History 5100 1451 147 =================================================================5100 1451 148 Mod. 1 - October, 1989 - Initial release. 5100 1451 149 Mod. 2 - August, 1990 - Updated photoionization total and 5100 1451 150 subshell cross sections. 5100 1451 151 Mod. 3 - July, 1997 - Complete re-evaluation. 5100 1451 152 =================================================================5100 1451 153 1 451 182 35100 1451 154 23 501 891 35100 1451 155 23 502 410 35100 1451 156 23 504 40 35100 1451 157 23 515 33 35100 1451 158 23 516 52 35100 1451 159 23 517 39 35100 1451 160 23 522 419 35100 1451 161 23 534 21 35100 1451 162 23 535 26 35100 1451 163 23 536 25 35100 1451 164 23 537 26 35100 1451 165 23 538 27 35100 1451 166 23 539 37 35100 1451 167 23 540 33 35100 1451 168 23 541 40 35100 1451 169 23 542 44 35100 1451 170 23 543 33 35100 1451 171 23 544 41 35100 1451 172 23 545 40 35100 1451 173 23 546 71 35100 1451 174 23 547 71 35100 1451 175 23 550 51 35100 1451 176 23 551 47 35100 1451 177 23 552 47 35100 1451 178 27 502 50 35100 1451 179 27 504 51 35100 1451 180 27 505 149 35100 1451 181 27 506 107 35100 1451 182 5100 1 0 183 5100 0 0 184 5.100000+4 1.207040+2 0 0 0 0510023501 185 0.0 0.0 0 0 1 2663510023501 186 2663 5 510023501 187 1.000000+0 1.648227-3 1.060920+0 2.105701-3 1.199882+0 3.513335-3510023501 188 1.258900+0 4.314263-3 1.357045+0 5.947773-3 1.582757+0 1.176265-2510023501 189 1.584900+0 1.183525-2 1.683225+0 1.556171-2 1.790070+0 2.069130-2510023501 190 1.908574+0 2.802968-2 1.995300+0 3.476447-2 2.160227+0 5.108233-2510023501 191 2.280758+0 6.707674-2 2.317801+0 7.283186-2 2.426681+0 9.267540-2510023501 192 2.511900+0 1.118075-1 2.542219+0 1.193449-1 2.658920+0 1.540897-1510023501 193 2.744141+0 1.855305-1 2.824036+0 2.210358-1 2.908281+0 2.661868-1510023501 194 2.969156+0 3.045846-1 3.034987+0 3.532647-1 3.096704+0 4.067843-1510023501 195 3.154563+0 4.655771-1 3.162300+0 4.742906-1 3.217421+0 5.405701-1510023501 196 3.259659+0 5.986591-1 3.307334+0 6.740485-1 3.358148+0 7.673689-1510023501 197 3.393930+0 8.427215-1 3.436802+0 9.460409-1 3.470040+0 1.037612+0510023501 198 3.504566+0 1.145799+0 3.539196+0 1.270140+0 3.567279+0 1.384906+0510023501 199 3.595727+0 1.516653+0 3.622398+0 1.657243+0 3.647401+0 1.806992+0510023501 200 3.677735+0 2.016663+0 3.692817+0 2.134622+0 3.713420+0 2.313614+0510023501 201 3.734557+0 2.522733+0 3.750841+0 2.704929+0 3.767817+0 2.918276+0510023501 202 3.783732+0 3.144142+0 3.798652+0 3.383090+0 3.812639+0 3.635729+0510023501 203 3.827719+0 3.945619+0 3.838046+0 4.184768+0 3.849572+0 4.482515+0510023501 204 3.860377+0 4.796596+0 3.870507+0 5.127644+0 3.889500+0 5.869682+0510023501 205 3.906119+0 6.696220+0 3.920661+0 7.620270+0 3.933385+0 8.659005+0510023501 206 3.944518+0 9.830106+0 3.954260+0 1.114530+1 3.962784+0 1.260435+1510023501 207 3.970243+0 1.419263+1 3.976769+0 1.588282+1 3.981100+0 1.719844+1510023501 208 3.982479+0 1.763947+1 3.987476+0 1.942412+1 3.991848+0 2.119988+1510023501 209 3.999021+0 2.460178+1 4.009272+0 3.066827+1 4.026262+0 4.431435+1510023501 210 4.032353+0 5.035154+1 4.037304+0 5.568069+1 4.042254+0 6.135450+1510023501 211 4.052155+0 7.352965+1 4.053392+0 7.510831+1 4.062055+0 8.630764+1510023501 212 4.065459+0 9.070022+1 4.071956+0 9.888428+1 4.075360+0 1.029878+2510023501 213 4.078608+0 1.067363+2 4.081857+0 1.102824+2 4.086189+0 1.146322+2510023501 214 4.090365+0 1.183453+2 4.094233+0 1.212999+2 4.097482+0 1.233844+2510023501 215 4.102277+0 1.257408+2 4.108079+0 1.273584+2 4.112468+0 1.276401+2510023501 216 4.118510+0 1.266722+2 4.122853+0 1.250148+2 4.126643+0 1.229329+2510023501 217 4.131438+0 1.194968+2 4.135155+0 1.162606+2 4.142170+0 1.089559+2510023501 218 4.145999+0 1.044098+2 4.149226+0 1.003287+2 4.153483+0 9.466528+1510023501 219 4.156799+0 9.008426+1 4.161063+0 8.405036+1 4.165395+0 7.783699+1510023501 220 4.169920+0 7.134830+1 4.175914+0 6.290452+1 4.180246+0 5.700402+1510023501 221 4.182102+0 5.454367+1 4.186434+0 4.899093+1 4.190765+0 4.373401+1510023501 222 4.201285+0 3.237036+1 4.204476+0 2.934200+1 4.207521+0 2.663643+1510023501 223 4.210567+0 2.411062+1 4.213042+0 2.218855+1 4.216291+0 1.983992+1510023501 224 4.220957+0 1.680044+1 4.225834+0 1.402378+1 4.229703+0 1.209182+1510023501 225 4.233542+0 1.039494+1 4.239244+0 8.243741+0 4.244887+0 6.502091+0510023501 226 4.248615+0 5.537597+0 4.252313+0 4.710371+0 4.259624+0 3.404269+0510023501 227 4.266821+0 2.470689+0 4.421956+0 1.846242+0 4.694404+0 9.691440+0510023501 228 4.722043+0 1.279744+1 4.745288+0 1.671555+1 4.758364+0 1.923845+1510023501 229 4.768534+0 2.118150+1 4.772529+0 2.190698+1 4.781609+0 2.341122+1510023501 230 4.787965+0 2.429947+1 4.791779+0 2.475034+1 4.796864+0 2.524147+1510023501 231 4.801767+0 2.558368+1 4.808487+0 2.582374+1 4.813390+0 2.582171+1510023501 232 4.815025+0 2.578681+1 4.820836+0 2.552271+1 4.825921+0 2.511329+1510023501 233 4.828736+0 2.481659+1 4.833503+0 2.420454+1 4.838633+0 2.340042+1510023501 234 4.842965+0 2.261372+1 4.848161+0 2.155497+1 4.852856+0 2.050521+1510023501 235 4.856543+0 1.962973+1 4.861674+0 1.835280+1 4.865935+0 1.725496+1510023501 236 4.871140+0 1.588788+1 4.875664+0 1.469305+1 4.880653+0 1.338618+1510023501 237 4.885831+0 1.206098+1 4.890971+0 1.079382+1 4.896196+0 9.570897+0510023501 238 4.902785+0 8.142455+0 4.908474+0 7.025151+0 4.914232+0 6.012622+0510023501 239 4.931661+0 3.701311+0 4.935245+0 3.363047+0 4.937523+0 3.170836+0510023501 240 4.944358+0 2.695520+0 4.946893+0 2.555816+0 4.948794+0 2.463277+0510023501 241 4.950220+0 2.400529+0 4.953428+0 2.279397+0 4.955574+0 2.213218+0510023501 242 4.956957+0 2.176591+0 4.959550+0 2.120125+0 4.961819+0 2.083208+0510023501 243 4.965790+0 2.044860+0 4.968769+0 2.036510+0 4.973236+0 2.053871+0510023501 244 4.977704+0 2.103647+0 4.983697+0 2.215058+0 4.989690+0 2.370500+0510023501 245 4.997300+0 2.620779+0 5.011900+0 3.229972+0 5.017019+0 3.475049+0510023501 246 5.029130+0 4.107981+0 5.041240+0 4.806156+0 5.053350+0 5.565767+0510023501 247 5.077571+0 7.283162+0 5.085582+0 7.918261+0 5.101791+0 9.327748+0510023501 248 5.150233+0 1.496109+1 5.162343+0 1.686181+1 5.172563+0 1.869100+1510023501 249 5.182145+0 2.063576+1 5.191128+0 2.270599+1 5.199549+0 2.491248+1510023501 250 5.215339+0 2.995819+1 5.229156+0 3.572249+1 5.241245+0 4.225237+1510023501 251 5.251823+0 4.952891+1 5.261079+0 5.746151+1 5.269178+0 6.590110+1510023501 252 5.276265+0 7.466383+1 5.282465+0 8.355626+1 5.292638+0 1.010245+2510023501 253 5.323570+0 1.822949+2 5.333513+0 2.191612+2 5.341582+0 2.532054+2510023501 254 5.348140+0 2.835274+2 5.354697+0 3.160809+2 5.367813+0 3.868764+2510023501 255 5.369452+0 3.961525+2 5.380928+0 4.626480+2 5.385923+0 4.919414+2510023501 256 5.395190+0 5.455190+2 5.399495+0 5.696061+2 5.403401+0 5.907644+2510023501 257 5.409809+0 6.235982+2 5.414715+0 6.467686+2 5.418722+0 6.641789+2510023501 258 5.423981+0 6.846716+2 5.430108+0 7.047499+2 5.438192+0 7.242209+2510023501 259 5.443875+0 7.327059+2 5.449198+0 7.365474+2 5.455712+0 7.357103+2510023501 260 5.461977+0 7.291434+2 5.465130+0 7.237362+2 5.471131+0 7.096868+2510023501 261 5.477435+0 6.899017+2 5.484273+0 6.631320+2 5.489662+0 6.385926+2510023501 262 5.495231+0 6.104988+2 5.500100+0 5.840271+2 5.505910+0 5.505859+2510023501 263 5.509396+0 5.297727+2 5.513346+0 5.056940+2 5.518531+0 4.735757+2510023501 264 5.523530+0 4.423744+2 5.525197+0 4.319802+2 5.531754+0 3.913943+2510023501 265 5.537492+0 3.566520+2 5.539951+0 3.420808+2 5.545689+0 3.090114+2510023501 266 5.551427+0 2.774652+2 5.564543+0 2.121774+2 5.568248+0 1.956173+2510023501 267 5.585165+0 1.310847+2 5.592218+0 1.094439+2 5.598812+0 9.183986+1510023501 268 5.605741+0 7.589219+1 5.612458+0 6.272802+1 5.620875+0 4.908262+1510023501 269 5.630751+0 3.656349+1 5.646884+0 2.251848+1 5.653397+0 1.858169+1510023501 270 5.660220+0 1.527310+1 5.665338+0 1.324715+1 5.668749+0 1.208076+1510023501 271 5.674720+0 1.034160+1 5.679197+0 9.252074+0 5.680690+0 8.924279+0510023501 272 5.694336+0 6.571477+0 5.696042+0 6.342826+0 5.707983+0 5.021756+0510023501 273 5.716606+0 4.292015+0 5.735027+0 3.110943+0 5.755745+0 2.164330+0510023501 274 5.770245+0 1.679375+0 5.777921+0 1.475910+0 5.780906+0 1.406343+0510023501 275 5.788742+0 1.248534+0 5.792313+0 1.188327+0 5.795112+0 1.146218+0510023501 276 5.803508+0 1.046560+0 5.810003+0 9.972966-1 5.814989+0 9.766144-1510023501 277 5.818078+0 9.716362-1 5.820414+0 9.720365-1 5.824596+0 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9.901581+4510023522 1857 3.467369+3 9.070105+4 3.507519+3 8.808053+4 3.548134+3 8.553159+4510023522 1858 3.589219+3 8.305092+4 3.630781+3 8.064427+4 3.672823+3 7.831085+4510023522 1859 3.758374+3 7.384088+4 3.801894+3 7.169287+4 3.845918+3 6.960930+4510023522 1860 3.890451+3 6.758090+4 3.935501+3 6.561189+4 4.000000+3 6.292335+4510023522 1861 4.120975+3 5.827574+4 4.130500+3 5.793077+4 4.130500+3 1.788678+5510023522 1862 4.168694+3 1.760316+5 4.230000+3 1.716239+5 4.265795+3 1.679592+5510023522 1863 4.315191+3 1.630802+5 4.365158+3 1.583383+5 4.386000+3 1.564158+5510023522 1864 4.386000+3 2.125090+5 4.415704+3 2.095117+5 4.417000+3 2.093797+5510023522 1865 4.466836+3 2.044034+5 4.490000+3 2.021549+5 4.500000+3 2.010542+5510023522 1866 4.520000+3 1.988764+5 4.570882+3 1.930880+5 4.580000+3 1.920748+5510023522 1867 4.623810+3 1.874101+5 4.673700+3 1.822880+5 4.673700+3 2.098370+5510023522 1868 4.677351+3 2.094326+5 4.700000+3 2.069445+5 4.731513+3 2.035154+5510023522 1869 4.841724+3 1.921391+5 4.850000+3 1.913210+5 4.954502+3 1.815094+5510023522 1870 5.000000+3 1.773990+5 5.011872+3 1.763481+5 5.069907+3 1.713369+5510023522 1871 5.188000+3 1.616646+5 5.248075+3 1.570323+5 5.300000+3 1.531474+5510023522 1872 5.308844+3 1.524984+5 5.370318+3 1.480401+5 5.432503+3 1.437159+5510023522 1873 5.623413+3 1.315236+5 5.650000+3 1.299433+5 5.688529+3 1.276848+5510023522 1874 5.821032+3 1.203277+5 5.888437+3 1.167869+5 5.956621+3 1.133527+5510023522 1875 6.025596+3 1.100159+5 6.095369+3 1.067801+5 6.165950+3 1.036420+5510023522 1876 6.237348+3 1.005943+5 6.309573+3 9.762843+4 6.456542+3 9.196256+4510023522 1877 6.606934+3 8.659641+4 6.683439+3 8.403424+4 6.760830+3 8.154629+4510023522 1878 6.839116+3 7.913400+4 6.918310+3 7.679375+4 7.079458+3 7.231254+4510023522 1879 7.244360+3 6.810009+4 7.328245+3 6.608056+4 7.500000+3 6.219811+4510023522 1880 7.585776+3 6.036388+4 7.673615+3 5.856074+4 7.762471+3 5.681285+4510023522 1881 7.852356+3 5.511817+4 7.943282+3 5.347350+4 8.035261+3 5.187917+4510023522 1882 8.128305+3 5.033356+4 8.222426+3 4.882599+4 8.317638+3 4.734617+4510023522 1883 8.511380+3 4.452278+4 8.609938+3 4.317632+4 8.709636+3 4.186989+4510023522 1884 8.810489+3 4.060310+4 8.912509+3 3.936873+4 9.120108+3 3.701219+4510023522 1885 9.332543+3 3.480062+4 9.440609+3 3.374621+4 9.660509+3 3.173454+4510023522 1886 9.772372+3 3.076827+4 9.800000+3 3.053594+4 9.885531+3 2.982757+4510023522 1887 1.000000+4 2.891500+4 1.011579+4 2.803110+4 1.023293+4 2.717407+4510023522 1888 1.035142+4 2.634330+4 1.071519+4 2.400411+4 1.080000+4 2.350068+4510023522 1889 1.083927+4 2.327183+4 1.109175+4 2.185500+4 1.122018+4 2.117990+4510023522 1890 1.135011+4 2.052537+4 1.150000+4 1.980483+4 1.161449+4 1.927796+4510023522 1891 1.174898+4 1.868330+4 1.202264+4 1.755000+4 1.216186+4 1.700961+4510023522 1892 1.244515+4 1.597946+4 1.273503+4 1.500629+4 1.288250+4 1.454214+4510023522 1893 1.303167+4 1.409267+4 1.318257+4 1.365428+4 1.333521+4 1.322819+4510023522 1894 1.380384+4 1.202927+4 1.412538+4 1.129249+4 1.445440+4 1.060142+4510023522 1895 1.450000+4 1.051033+4 1.462177+4 1.027211+4 1.479108+4 9.951373+3510023522 1896 1.496236+4 9.640885+3 1.500000+4 9.574455+3 1.513561+4 9.339762+3510023522 1897 1.531087+4 9.048126+3 1.548817+4 8.765651+3 1.566751+4 8.490681+3510023522 1898 1.640590+4 7.476363+3 1.650000+4 7.358712+3 1.659587+4 7.241361+3510023522 1899 1.678804+4 7.013583+3 1.698244+4 6.793124+3 1.717908+4 6.579781+3510023522 1900 1.737801+4 6.372625+3 1.757924+4 6.172162+3 1.798871+4 5.790188+3510023522 1901 1.800000+4 5.780124+3 1.819701+4 5.607592+3 1.840772+4 5.430834+3510023522 1902 1.883649+4 5.094298+3 1.900000+4 4.973581+3 1.905461+4 4.934109+3510023522 1903 1.927525+4 4.777821+3 1.949845+4 4.626587+3 1.972423+4 4.480093+3510023522 1904 2.018366+4 4.201206+3 2.041738+4 4.068490+3 2.065380+4 3.939990+3510023522 1905 2.089296+4 3.815262+3 2.137962+4 3.576849+3 2.162719+4 3.463410+3510023522 1906 2.187762+4 3.353664+3 2.238721+4 3.144590+3 2.290868+4 2.947415+3510023522 1907 2.300000+4 2.914653+3 2.371374+4 2.674824+3 2.398833+4 2.589750+3510023522 1908 2.426610+4 2.507438+3 2.454709+4 2.427804+3 2.483133+4 2.350465+3510023522 1909 2.511886+4 2.275469+3 2.540973+4 2.202906+3 2.600160+4 2.064713+3510023522 1910 2.660725+4 1.934469+3 2.691535+4 1.872533+3 2.722701+4 1.812551+3510023522 1911 2.754229+4 1.754533+3 2.851018+4 1.591536+3 2.884032+4 1.540715+3510023522 1912 2.917427+4 1.491555+3 2.951209+4 1.443836+3 2.985383+4 1.397634+3510023522 1913 3.000000+4 1.378456+3 3.047900+4 1.317663+3 3.047900+4 8.081235+3510023522 1914 3.054921+4 8.036733+3 3.126079+4 7.604806+3 3.140000+4 7.524200+3510023522 1915 3.162278+4 7.380085+3 3.198895+4 7.151258+3 3.210000+4 7.083782+3510023522 1916 3.235937+4 6.940954+3 3.273407+4 6.741641+3 3.330000+4 6.455520+3510023522 1917 3.388442+4 6.163212+3 3.427678+4 5.977130+3 3.467369+4 5.796688+3510023522 1918 3.507519+4 5.621475+3 3.548134+4 5.451498+3 3.589219+4 5.286685+3510023522 1919 3.630781+4 5.129331+3 3.715352+4 4.828614+3 3.758374+4 4.684932+3510023522 1920 3.845918+4 4.410327+3 4.027170+4 3.908664+3 4.120975+4 3.673634+3510023522 1921 4.168694+4 3.561478+3 4.265795+4 3.347375+3 4.315191+4 3.245179+3510023522 1922 4.365158+4 3.146118+3 4.415704+4 3.050068+3 4.466836+4 2.956961+3510023522 1923 4.518559+4 2.866690+3 4.623810+4 2.694360+3 4.677351+4 2.610816+3510023522 1924 4.786301+4 2.451247+3 4.841724+4 2.375171+3 4.897788+4 2.301464+3510023522 1925 4.954502+4 2.230047+3 5.188000+4 1.965910+3 5.248075+4 1.904918+3510023522 1926 5.308844+4 1.845808+3 5.432503+4 1.733050+3 5.500000+4 1.675456+3510023522 1927 5.754399+4 1.480229+3 5.821032+4 1.434275+3 5.888437+4 1.388970+3510023522 1928 6.095369+4 1.261469+3 6.165950+4 1.221629+3 6.456542+4 1.074459+3510023522 1929 6.531306+4 1.040532+3 6.606934+4 1.007641+3 6.839116+4 9.150767+2510023522 1930 7.000000+4 8.576115+2 7.079458+4 8.310331+2 7.244360+4 7.793456+2510023522 1931 7.413102+4 7.302288+2 7.498942+4 7.068409+2 7.762471+4 6.410853+2510023522 1932 7.852356+4 6.205358+2 7.943282+4 6.006460+2 8.035261+4 5.813949+2510023522 1933 8.317638+4 5.272706+2 8.413951+4 5.103743+2 8.810489+4 4.480412+2510023522 1934 9.015711+4 4.197955+2 9.120108+4 4.063457+2 9.440609+4 3.681326+2510023522 1935 9.549926+4 3.561992+2 9.885531+4 3.226734+2 1.023293+5 2.923076+2510023522 1936 1.035142+5 2.828355+2 1.096478+5 2.398888+2 1.122019+5 2.245987+2510023522 1937 1.135011+5 2.173229+2 1.188502+5 1.905036+2 1.202264+5 1.843335+2510023522 1938 1.273503+5 1.562138+2 1.288250+5 1.511284+2 1.318257+5 1.414499+2510023522 1939 1.333521+5 1.368461+2 1.348963+5 1.323921+2 1.380384+5 1.239151+2510023522 1940 1.396368+5 1.198825+2 1.412538+5 1.159811+2 1.513561+5 9.510468+1510023522 1941 1.548817+5 8.901773+1 1.584893+5 8.332189+1 1.603245+5 8.061231+1510023522 1942 1.621810+5 7.799026+1 1.640590+5 7.545358+1 1.698244+5 6.832872+1510023522 1943 1.717908+5 6.610707+1 1.778279+5 5.986630+1 1.840772+5 5.421507+1510023522 1944 1.883649+5 5.074802+1 1.927525+5 4.750289+1 1.949845+5 4.595910+1510023522 1945 1.995262+5 4.302060+1 2.000000+5 4.272881+1 2.018366+5 4.162277+1510023522 1946 2.089296+5 3.773223+1 2.113489+5 3.651800+1 2.162719+5 3.420599+1510023522 1947 2.213095+5 3.204046+1 2.238721+5 3.101078+1 2.264644+5 3.001424+1510023522 1948 2.290868+5 2.904972+1 2.317395+5 2.811624+1 2.344229+5 2.721292+1510023522 1949 2.398833+5 2.549246+1 2.426610+5 2.467368+1 2.454709+5 2.388137+1510023522 1950 2.483133+5 2.311453+1 2.540973+5 2.167219+1 2.600160+5 2.032002+1510023522 1951 2.630268+5 1.967593+1 2.660725+5 1.905226+1 2.691535+5 1.844846+1510023522 1952 2.710800+5 1.808462+1 2.818383+5 1.622197+1 2.851018+5 1.570869+1510023522 1953 2.884032+5 1.521167+1 2.917427+5 1.473045+1 2.951209+5 1.426457+1510023522 1954 2.985383+5 1.382163+1 3.000000+5 1.363790+1 3.019952+5 1.339245+1510023522 1955 3.126079+5 1.218372+1 3.162278+5 1.180555+1 3.198895+5 1.143916+1510023522 1956 3.235937+5 1.108469+1 3.273407+5 1.074122+1 3.349654+5 1.008589+1510023522 1957 3.388442+5 9.773444+0 3.427678+5 9.470762+0 3.467369+5 9.182654+0510023522 1958 3.507519+5 8.903318+0 3.548134+5 8.632494+0 3.589219+5 8.369915+0510023522 1959 3.630781+5 8.115317+0 3.672823+5 7.868482+0 3.715352+5 7.629588+0510023522 1960 3.758374+5 7.397997+0 3.801894+5 7.173438+0 3.845918+5 6.955737+0510023522 1961 3.890451+5 6.744648+0 3.935501+5 6.543852+0 3.981072+5 6.349117+0510023522 1962 4.073803+5 5.976867+0 4.120975+5 5.799056+0 4.168694+5 5.626533+0510023522 1963 4.216965+5 5.459484+0 4.265795+5 5.297425+0 4.315191+5 5.140184+0510023522 1964 4.365158+5 4.987615+0 4.415705+5 4.842761+0 4.466836+5 4.702133+0510023522 1965 4.518559+5 4.565679+0 4.570882+5 4.433183+0 4.677351+5 4.179631+0510023522 1966 4.731513+5 4.058643+0 4.786301+5 3.941163+0 4.897788+5 3.716308+0510023522 1967 4.954502+5 3.611135+0 5.011872+5 3.508952+0 5.069907+5 3.409707+0510023522 1968 5.128614+5 3.313273+0 5.188000+5 3.219572+0 5.248075+5 3.128538+0510023522 1969 5.308844+5 3.040298+0 5.370318+5 2.954544+0 5.432503+5 2.871231+0510023522 1970 5.495409+5 2.792108+0 5.559043+5 2.715167+0 5.623413+5 2.640356+0510023522 1971 5.688529+5 2.567649+0 5.754399+5 2.496944+0 5.821032+5 2.428201+0510023522 1972 5.888437+5 2.361350+0 5.956621+5 2.296530+0 6.025596+5 2.233489+0510023522 1973 6.165950+5 2.115641+0 6.237348+5 2.059080+0 6.309573+5 2.004062+0510023522 1974 6.382635+5 1.950514+0 6.456542+5 1.898409+0 6.531306+5 1.847708+0510023522 1975 6.683439+5 1.750586+0 6.760830+5 1.705168+0 6.839117+5 1.660931+0510023522 1976 6.918310+5 1.617847+0 6.998420+5 1.575906+0 7.079458+5 1.535061+0510023522 1977 7.161434+5 1.495285+0 7.244360+5 1.456540+0 7.413102+5 1.382239+0510023522 1978 7.498942+5 1.347476+0 7.585776+5 1.313588+0 7.673615+5 1.280557+0510023522 1979 7.762471+5 1.248383+0 7.852356+5 1.217024+0 8.035261+5 1.156651+0510023522 1980 8.222427+5 1.099428+0 8.413951+5 1.046446+0 8.511380+5 1.020922+0510023522 1981 8.609938+5 9.960271-1 8.709636+5 9.717615-1 8.912509+5 9.249899-1510023522 1982 9.015711+5 9.025298-1 9.120108+5 8.812687-1 9.225714+5 8.605104-1510023522 1983 9.332543+5 8.402487-1 9.440609+5 8.204675-1 9.549926+5 8.011709-1510023522 1984 9.660509+5 7.823282-1 9.772372+5 7.639288-1 9.885531+5 7.460241-1510023522 1985 1.000000+6 7.290487-1 1.011579+6 7.124660-1 1.022000+6 6.980208-1510023522 1986 1.023293+6 6.962592-1 1.035142+6 6.804236-1 1.047129+6 6.649471-1510023522 1987 1.059254+6 6.498306-1 1.071519+6 6.350591-1 1.083927+6 6.206266-1510023522 1988 1.096478+6 6.065263-1 1.135011+6 5.661172-1 1.148154+6 5.532967-1510023522 1989 1.161449+6 5.411926-1 1.174898+6 5.293565-1 1.188600+6 5.177108-1510023522 1990 1.202264+6 5.064811-1 1.216186+6 4.954161-1 1.230269+6 4.845965-1510023522 1991 1.244515+6 4.740438-1 1.258925+6 4.637215-1 1.273503+6 4.538591-1510023522 1992 1.288250+6 4.442064-1 1.303167+6 4.347627-1 1.333521+6 4.164737-1510023522 1993 1.348963+6 4.076237-1 1.364583+6 3.989626-1 1.396368+6 3.821919-1510023522 1994 1.412538+6 3.740728-1 1.428894+6 3.661489-1 1.445440+6 3.586001-1510023522 1995 1.462177+6 3.512072-1 1.479108+6 3.439677-1 1.500000+6 3.353493-1510023522 1996 1.513561+6 3.299371-1 1.531087+6 3.231411-1 1.548817+6 3.164846-1510023522 1997 1.566751+6 3.099875-1 1.621810+6 2.918384-1 1.640590+6 2.860289-1510023522 1998 1.659587+6 2.803354-1 1.678804+6 2.747574-1 1.737801+6 2.586907-1510023522 1999 1.757924+6 2.535633-1 1.778279+6 2.486909-1 1.819701+6 2.392249-1510023522 2000 1.840772+6 2.346286-1 1.862087+6 2.301208-1 1.883649+6 2.256997-1510023522 2001 1.905461+6 2.213654-1 1.972423+6 2.088638-1 1.995262+6 2.048687-1510023522 2002 2.000000+6 2.040552-1 2.018366+6 2.010467-1 2.065380+6 1.936634-1510023522 2003 2.089296+6 1.900746-1 2.113489+6 1.865526-1 2.137962+6 1.830975-1510023522 2004 2.162719+6 1.797062-1 2.213095+6 1.731156-1 2.238721+6 1.699116-1510023522 2005 2.264644+6 1.667778-1 2.290868+6 1.637980-1 2.344229+6 1.579975-1510023522 2006 2.371374+6 1.551751-1 2.398833+6 1.524033-1 2.426610+6 1.496823-1510023522 2007 2.454709+6 1.470099-1 2.511886+6 1.418109-1 2.540973+6 1.392806-1510023522 2008 2.570396+6 1.368040-1 2.600160+6 1.344464-1 2.660725+6 1.298525-1510023522 2009 2.691535+6 1.276150-1 2.722701+6 1.254163-1 2.754229+6 1.232558-1510023522 2010 2.786121+6 1.211332-1 2.818383+6 1.190470-1 2.884032+6 1.149845-1510023522 2011 2.917427+6 1.130056-1 2.951209+6 1.110670-1 2.985383+6 1.092170-1510023522 2012 3.054921+6 1.056091-1 3.126079+6 1.021207-1 3.162278+6 1.004201-1510023522 2013 3.198895+6 9.874817-2 3.235937+6 9.710445-2 3.273407+6 9.548812-2510023522 2014 3.349654+6 9.233771-2 3.388442+6 9.080165-2 3.427678+6 8.929611-2510023522 2015 3.467369+6 8.786049-2 3.548134+6 8.505815-2 3.630781+6 8.234553-2510023522 2016 3.672823+6 8.102194-2 3.715352+6 7.971991-2 3.758374+6 7.843909-2510023522 2017 3.801894+6 7.717886-2 3.890451+6 7.472035-2 3.935501+6 7.352060-2510023522 2018 4.000000+6 7.186459-2 4.027170+6 7.120580-2 4.120975+6 6.900989-2510023522 2019 4.265795+6 6.584273-2 4.315191+6 6.481971-2 4.365158+6 6.381282-2510023522 2020 4.415704+6 6.282179-2 4.466836+6 6.184613-2 4.570882+6 5.994125-2510023522 2021 4.623810+6 5.901093-2 4.677351+6 5.809797-2 4.731513+6 5.722496-2510023522 2022 4.841724+6 5.551813-2 5.011872+6 5.305318-2 5.069907+6 5.225614-2510023522 2023 5.128614+6 5.147124-2 5.188000+6 5.069831-2 5.308844+6 4.918707-2510023522 2024 5.432503+6 4.772176-2 5.495409+6 4.700555-2 5.559043+6 4.630228-2510023522 2025 5.623413+6 4.562902-2 5.754399+6 4.431172-2 6.000000+6 4.201732-2510023522 2026 6.025596+6 4.179041-2 6.095369+6 4.118299-2 6.237348+6 3.999474-2510023522 2027 6.382635+6 3.884076-2 6.531306+6 3.772074-2 6.606934+6 3.717290-2510023522 2028 6.683439+6 3.663463-2 6.760830+6 3.611868-2 6.918310+6 3.510849-2510023522 2029 7.244360+6 3.317231-2 7.328245+6 3.270531-2 7.585776+6 3.134365-2510023522 2030 7.762471+6 3.046752-2 7.943282+6 2.961637-2 8.035261+6 2.919975-2510023522 2031 8.128305+6 2.879017-2 8.222427+6 2.839724-2 8.413951+6 2.762740-2510023522 2032 8.810489+6 2.614993-2 8.912509+6 2.579316-2 9.332543+6 2.441437-2510023522 2033 9.549926+6 2.375287-2 9.772372+6 2.310962-2 9.885531+6 2.279456-2510023522 2034 1.000000+7 2.248462-2 1.011579+7 2.217890-2 1.023293+7 2.188474-2510023522 2035 1.047129+7 2.130808-2 1.083927+7 2.047158-2 1.096478+7 2.020015-2510023522 2036 1.109175+7 1.993232-2 1.188502+7 1.839861-2 1.216186+7 1.791406-2510023522 2037 1.244515+7 1.744252-2 1.258925+7 1.721204-2 1.273503+7 1.698460-2510023522 2038 1.288250+7 1.676548-2 1.303167+7 1.654920-2 1.333521+7 1.612501-2510023522 2039 1.348963+7 1.591701-2 1.364583+7 1.571172-2 1.400000+7 1.526430-2510023522 2040 1.566751+7 1.344570-2 1.621810+7 1.293224-2 1.678804+7 1.243862-2510023522 2041 1.698244+7 1.227871-2 1.717908+7 1.212087-2 1.737801+7 1.196876-2510023522 2042 1.757924+7 1.181857-2 1.778279+7 1.167031-2 1.800000+7 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