57-La Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 5.700000+4 1.377120+2 -1 0 0 35700 1451 1 0.0 0.0 0 0 0 65700 1451 2 0.0 0.0 0 0 3 65700 1451 3 0.0 0.0 0 0 152 325700 1451 4 57-LA LLNL Eval-Jul97 D.E.Cullen, et al. 5700 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 5700 1451 6 ---- ENDF/B-VI MATERIAL 5700 5700 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 5700 1451 8 ------ ENDF/B-6 5700 1451 9 =================================================================5700 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 5700 1451 11 ENDF/B-VI format 5700 1451 12 =================================================================5700 1451 13 Contents 5700 1451 14 =================================================================5700 1451 15 MF/MT Description 5700 1451 16 =================================================================5700 1451 17 23/501 Total cross sections 5700 1451 18 23/502 Coherent scattering cross sections 5700 1451 19 23/504 Incoherent scattering cross sections 5700 1451 20 23/515 Pair production cross sections, Electron field 5700 1451 21 23/516 Pair production cross sections, Total 5700 1451 22 23/517 Pair production cross sections, Nuclear field 5700 1451 23 23/522 Total photoionization cross section 5700 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 5700 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 5700 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 5700 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 5700 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 5700 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 5700 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 5700 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 5700 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 5700 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 5700 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 5700 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 5700 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 5700 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 5700 1451 38 23/550 O1 (5S1/2) Photoionization subshell cross section 5700 1451 39 23/551 O2 (5P1/2) Photoionization subshell cross section 5700 1451 40 23/552 O3 (5P3/2) Photoionization subshell cross section 5700 1451 41 23/553 O4 (5D3/2) Photoionization subshell cross section 5700 1451 42 23/554 O5 (5D5/2) Photoionization subshell cross section 5700 1451 43 23/559 P1 (6S1/2) Photoionization subshell cross section 5700 1451 44 =================================================================5700 1451 45 27/502 Coherent scattering form factors 5700 1451 46 27/504 Incoherent scattering functions 5700 1451 47 27/505 Imaginary anomalous scattering factor 5700 1451 48 27/506 Real anomalous scattering factor 5700 1451 49 =================================================================5700 1451 50 Warning 5700 1451 51 =================================================================5700 1451 52 MF/MT combinations used to define photoionization subshell cross5700 1451 53 sections (MF=23, MT=534-572) and coherent anomalous scattering 5700 1451 54 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 5700 1451 55 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 5700 1451 56 If you are not prepared to use this data you need merely delete 5700 1451 57 it and all of the remaining data will still be consistent and 5700 1451 58 equivalent to the types of data in earlier versions of ENDF/B. 5700 1451 59 However, this will limit the range of problems to which this 5700 1451 60 data can be applied (see: ref. 1 for details). 5700 1451 61 =================================================================5700 1451 62 Definition of new types of data 5700 1451 63 =================================================================5700 1451 64 1) The total photoionization cross section is equal to the sum 5700 1451 65 of the photoionization subshell cross sections. 5700 1451 66 5700 1451 67 For each subshell on the second line of a section the C1 and 5700 1451 68 C2 fields are defined as, 5700 1451 69 5700 1451 70 EPE = The photoionization edge energy (similar to Q-value) 5700 1451 71 EFL = The fluorescence yield (eV/photoionization) 5700 1451 72 5700 1451 73 2) The angular distribution of coherently scattered photons is, 5700 1451 74 5700 1451 75 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5700 1451 76 5700 1451 77 S(E,MU) = Angular distributions (barns per unit cosine) 5700 1451 78 T = The Thomson cross section 5700 1451 79 MU = The cosine of the scattering angle 5700 1451 80 FF(M) = The atomic form factor 5700 1451 81 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 5700 1451 82 F1(E) = The real anomalous scattering factor 5700 1451 83 F2(E) = The imaginary anomalous scattering factor 5700 1451 84 5700 1451 85 F1(E) and F2(E) are isotropic. 5700 1451 86 5700 1451 87 When F1(E) = F2(E) = 0 this reduces to the result obtained 5700 1451 88 using only form factors (the older ENDF/B convention). 5700 1451 89 =================================================================5700 1451 90 Differences between EPDL97 and the data base presented here 5700 1451 91 =================================================================5700 1451 92 1) Energy range - EPDL97 - 1 eV to 100 GeV 5700 1451 93 Here - 1 eV TO 100 GeV (previously 100 MeV) 5700 1451 94 2) Type of Data - EPDL97 - Photon interaction including 5700 1451 95 photoexcitation 5700 1451 96 Here - Photon interaction - ENDF/B-VI has 5700 1451 97 no provision for photoexcitation 5700 1451 98 3) Secondary E - EPDL97 - Average energy of each secondary 5700 1451 99 (photons, electrons, positrons) 5700 1451 100 HERE - No secondary energy data 5700 1451 101 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 5700 1451 102 interpolable - the total cross 5700 1451 103 section is not included 5700 1451 104 - Form factors and scattering functions 5700 1451 105 are Log X vs. Log y, except first 5700 1451 106 interval. 5700 1451 107 - Anomalous scattering factors linearly 5700 1451 108 interpolable (they can be negative) 5700 1451 109 Here - Up through ENDF/B-V photon interaction5700 1451 110 cross sections were Log X vs. Log Y. 5700 1451 111 - For the first two Mods. of ENDF/B-VI 5700 1451 112 in order to consistently define the 5700 1451 113 total cross sections at ALL energies 5700 1451 114 all cross sections were linearized. 5700 1451 115 This was NOT a good idea. 5700 1451 116 - Starting with Mod. 3, cross sections 5700 1451 117 are left in Log X vs. Log. Y form so 5700 1451 118 that they are IDENTICAL to what's in 5700 1451 119 EPDL97. 5700 1451 120 The total is defined ONLY at the 5700 1451 121 energies tabulated in any other cross 5700 1451 122 section. 5700 1451 123 WARNING - As a result the total cross section 5700 1451 124 MUST NOT be interpolated to define the5700 1451 125 total between tabulated energies. The 5700 1451 126 ONLY consist way to define the total 5700 1451 127 between tabulated energies is to 5700 1451 128 interpolate all of the partials and 5700 1451 129 add them up. 5700 1451 130 =================================================================5700 1451 131 References 5700 1451 132 =================================================================5700 1451 133 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 5700 1451 134 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 5700 1451 135 graphs of photon interaction cross sections from 10 eV to 100 5700 1451 136 GeV derived from the LLNL Evaluated Photon data library (EPDL), 5700 1451 137 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 5700 1451 138 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 5700 1451 139 5700 1451 140 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 5700 1451 141 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 5700 1451 142 Rev. 5, Lawrence Livermore National Laboratory (1997) 5700 1451 143 5700 1451 144 These are the primary references to the contents of this library5700 1451 145 and they contain a complete list of references to the sources 5700 1451 146 of data used in this library, methods of evaluation, accuracy 5700 1451 147 of the data, etc. 5700 1451 148 =================================================================5700 1451 149 History 5700 1451 150 =================================================================5700 1451 151 Mod. 1 - October, 1989 - Initial release. 5700 1451 152 Mod. 2 - August, 1990 - Updated photoionization total and 5700 1451 153 subshell cross sections. 5700 1451 154 Mod. 3 - July, 1997 - Complete re-evaluation. 5700 1451 155 =================================================================5700 1451 156 1 451 188 35700 1451 157 23 501 858 35700 1451 158 23 502 390 35700 1451 159 23 504 40 35700 1451 160 23 515 33 35700 1451 161 23 516 53 35700 1451 162 23 517 40 35700 1451 163 23 522 403 35700 1451 164 23 534 20 35700 1451 165 23 535 25 35700 1451 166 23 536 24 35700 1451 167 23 537 25 35700 1451 168 23 538 27 35700 1451 169 23 539 31 35700 1451 170 23 540 31 35700 1451 171 23 541 34 35700 1451 172 23 542 35 35700 1451 173 23 543 30 35700 1451 174 23 544 34 35700 1451 175 23 545 36 35700 1451 176 23 546 57 35700 1451 177 23 547 58 35700 1451 178 23 550 37 35700 1451 179 23 551 43 35700 1451 180 23 552 43 35700 1451 181 23 553 64 35700 1451 182 23 554 64 35700 1451 183 23 559 48 35700 1451 184 27 502 54 35700 1451 185 27 504 55 35700 1451 186 27 505 185 35700 1451 187 27 506 190 35700 1451 188 5700 1 0 189 5700 0 0 190 5.700000+4 1.377120+2 0 0 0 0570023501 191 0.0 0.0 0 0 1 2564570023501 192 2564 5 570023501 193 1.000000+0 2.235071-1 1.034444+0 2.645794-1 1.066770+0 3.091918-1570023501 194 1.100107+0 3.622923-1 1.132501+0 4.218288-1 1.163883+0 4.880227-1570023501 195 1.194285+0 5.612853-1 1.223736+0 6.422230-1 1.252267+0 7.313616-1570023501 196 1.258900+0 7.539280-1 1.279906+0 8.292229-1 1.306682+0 9.363466-1570023501 197 1.332621+0 1.053291+0 1.357749+0 1.180631+0 1.382092+0 1.318987+0570023501 198 1.405675+0 1.469941+0 1.440000+0 1.722112+0 1.472091+0 1.995234+0570023501 199 1.492861+0 2.196594+0 1.512982+0 2.413873+0 1.551357+0 2.896317+0570023501 200 1.584900+0 3.406989+0 1.587371+0 3.447520+0 1.621169+0 4.073909+0570023501 201 1.637280+0 4.418211+0 1.652888+0 4.786528+0 1.683128+0 5.602189+0570023501 202 1.711478+0 6.513116+0 1.738056+0 7.531004+0 1.762973+0 8.663981+0570023501 203 1.786333+0 9.920182+0 1.808232+0 1.130775+1 1.828763+0 1.283515+1570023501 204 1.848011+0 1.451123+1 1.866056+0 1.634478+1 1.882973+0 1.834450+1570023501 205 1.898832+0 2.051902+1 1.913701+0 2.287692+1 1.927640+0 2.542666+1570023501 206 1.940708+0 2.817654+1 1.952959+0 3.113469+1 1.964445+0 3.430901+1570023501 207 1.975212+0 3.770716+1 1.985307+0 4.133656+1 1.994771+0 4.520444+1570023501 208 1.995300+0 4.544029+1 2.003643+0 4.931802+1 2.011961+0 5.368463+1570023501 209 2.019759+0 5.831146+1 2.027069+0 6.320489+1 2.033923+0 6.837027+1570023501 210 2.040348+0 7.381232+1 2.048000+0 8.120055+1 2.057313+0 9.185358+1570023501 211 2.062277+0 9.846185+1 2.066930+0 1.053814+2 2.071292+0 1.126230+2570023501 212 2.079471+0 1.286923+2 2.086628+0 1.463696+2 2.092891+0 1.658529+2570023501 213 2.098370+0 1.872933+2 2.103165+0 2.107006+2 2.107360+0 2.358886+2570023501 214 2.111031+0 2.624822+2 2.114243+0 2.899742+2 2.117054+0 3.178010+2570023501 215 2.119513+0 3.454130+2 2.123547+0 3.981439+2 2.129314+0 4.916913+2570023501 216 2.138289+0 6.848830+2 2.141986+0 7.813234+2 2.145931+0 8.935338+2570023501 217 2.147246+0 9.327133+2 2.152505+0 1.095226+3 2.153162+0 1.115897+3570023501 218 2.157764+0 1.259649+3 2.159572+0 1.314511+3 2.163024+0 1.414001+3570023501 219 2.164831+0 1.462301+3 2.166557+0 1.505281+3 2.168283+0 1.544723+3570023501 220 2.170584+0 1.591015+3 2.172803+0 1.627975+3 2.174857+0 1.654764+3570023501 221 2.176583+0 1.671334+3 2.178801+0 1.684241+3 2.181760+0 1.686150+3570023501 222 2.184225+0 1.674105+3 2.185141+0 1.666478+3 2.187230+0 1.642770+3570023501 223 2.189564+0 1.606247+3 2.192048+0 1.556382+3 2.194545+0 1.495813+3570023501 224 2.196777+0 1.433830+3 2.197830+0 1.402334+3 2.200321+0 1.322786+3570023501 225 2.202098+0 1.262499+3 2.203410+0 1.216459+3 2.205427+0 1.143865+3570023501 226 2.207526+0 1.066720+3 2.209826+0 9.815179+2 2.211672+0 9.134654+2570023501 227 2.213952+0 8.307320+2 2.215616+0 7.718620+2 2.218246+0 6.824094+2570023501 228 2.220876+0 5.984503+2 2.222437+0 5.516436+2 2.225210+0 4.747712+2570023501 229 2.232474+0 3.161921+2 2.233519+0 2.988247+2 2.235086+0 2.754289+2570023501 230 2.236654+0 2.552448+2 2.237886+0 2.416418+2 2.239215+0 2.292266+2570023501 231 2.240332+0 2.206132+2 2.241549+0 2.131167+2 2.242582+0 2.083123+2570023501 232 2.243548+0 2.051236+2 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245 2.345831+0 6.499836+3 2.347977+0 6.372677+3 2.350366+0 6.202181+3570023501 246 2.351901+0 6.077871+3 2.354558+0 5.838728+3 2.357257+0 5.569235+3570023501 247 2.359511+0 5.327669+3 2.362409+0 5.000726+3 2.365213+0 4.672933+3570023501 248 2.368016+0 4.339927+3 2.371171+0 3.965923+3 2.373624+0 3.679796+3570023501 249 2.379760+0 3.001235+3 2.380751+0 2.898265+3 2.387687+0 2.241208+3570023501 250 2.392581+0 1.850242+3 2.404812+0 1.131368+3 2.407666+0 1.010485+3570023501 251 2.410520+0 9.044452+2 2.413374+0 8.117472+2 2.416229+0 7.309149+2570023501 252 2.419083+0 6.605326+2 2.421937+0 5.992721+2 2.424791+0 5.459115+2570023501 253 2.427645+0 4.993453+2 2.433354+0 4.227777+2 2.436780+0 3.852747+2570023501 254 2.442775+0 3.310282+2 2.447272+0 2.976355+2 2.460761+0 2.223721+2570023501 255 2.466818+0 1.972529+2 2.472875+0 1.763546+2 2.478932+0 1.593606+2570023501 256 2.484989+0 1.461206+2 2.488017+0 1.408719+2 2.491046+0 1.365101+2570023501 257 2.492560+0 1.346528+2 2.494831+0 1.322578+2 2.497103+0 1.303146+2570023501 258 2.500131+0 1.283854+2 2.503159+0 1.271501+2 2.506188+0 1.265287+2570023501 259 2.509216+0 1.264294+2 2.511900+0 1.268516+2 2.515273+0 1.273835+2570023501 260 2.528901+0 1.310972+2 2.534958+0 1.315793+2 2.539501+0 1.309576+2570023501 261 2.542529+0 1.300072+2 2.545557+0 1.286151+2 2.548586+0 1.267901+2570023501 262 2.551614+0 1.245572+2 2.554643+0 1.219555+2 2.559238+0 1.174205+2570023501 263 2.563728+0 1.124907+2 2.571836+0 1.030792+2 2.581899+0 9.218759+1570023501 264 2.587584+0 8.714318+1 2.590734+0 8.481444+1 2.593883+0 8.284644+1570023501 265 2.597033+0 8.124712+1 2.600183+0 8.001237+1 2.603332+0 7.912666+1570023501 266 2.608057+0 7.839319+1 2.609632+0 7.828935+1 2.615931+0 7.842792+1570023501 267 2.630104+0 8.021846+1 2.634828+0 8.067063+1 2.641128+0 8.079666+1570023501 268 2.644277+0 8.060275+1 2.647427+0 8.022086+1 2.650577+0 7.964798+1570023501 269 2.653726+0 7.888797+1 2.660025+0 7.685067+1 2.666325+0 7.423936+1570023501 270 2.672624+0 7.122611+1 2.678923+0 6.799109+1 2.694960+0 5.978217+1570023501 271 2.707451+0 5.419804+1 2.714099+0 5.164634+1 2.720746+0 4.940327+1570023501 272 2.727394+0 4.746681+1 2.734042+0 4.582745+1 2.740689+0 4.446818+1570023501 273 2.747337+0 4.336276+1 2.753985+0 4.247417+1 2.760632+0 4.175503+1570023501 274 2.787223+0 3.948241+1 2.793871+0 3.883841+1 2.800518+0 3.811797+1570023501 275 2.807166+0 3.732410+1 2.820461+0 3.557934+1 2.845371+0 3.225170+1570023501 276 2.867873+0 2.965359+1 2.888968+0 2.762261+1 2.908746+0 2.598689+1570023501 277 2.945828+0 2.338892+1 2.978275+0 2.147690+1 3.006666+0 2.002789+1570023501 278 3.056350+0 1.785825+1 3.093613+0 1.647090+1 3.149508+0 1.468999+1570023501 279 3.162300+0 1.432691+1 3.260631+0 1.185892+1 3.363197+0 9.807191+0570023501 280 3.421217+0 8.773988+0 3.462990+0 8.055484+0 3.496266+0 7.484711+0570023501 281 3.521283+0 7.048856+0 3.546299+0 6.600061+0 3.554638+0 6.446323+0570023501 282 3.591276+0 5.734536+0 3.609595+0 5.346205+0 3.627914+0 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5.877726+3570023522 1850 2.137962+4 5.693939+3 2.162719+4 5.514930+3 2.187762+4 5.341653+3570023522 1851 2.213095+4 5.173956+3 2.238721+4 5.010937+3 2.264644+4 4.853180+3570023522 1852 2.300000+4 4.648784+3 2.317395+4 4.552477+3 2.344229+4 4.409234+3570023522 1853 2.371374+4 4.270583+3 2.454709+4 3.880876+3 2.483133+4 3.758636+3570023522 1854 2.511886+4 3.640342+3 2.540973+4 3.525010+3 2.570396+4 3.413394+3570023522 1855 2.630268+4 3.200711+3 2.650000+4 3.134635+3 2.691535+4 3.001511+3570023522 1856 2.754229+4 2.814151+3 2.818383+4 2.638759+3 2.884032+4 2.474558+3570023522 1857 2.917427+4 2.396425+3 2.951209+4 2.320814+3 2.985383+4 2.246759+3570023522 1858 3.000000+4 2.216076+3 3.019952+4 2.175107+3 3.054921+4 2.105785+3570023522 1859 3.090295+4 2.038724+3 3.126079+4 1.973815+3 3.162278+4 1.911002+3570023522 1860 3.300000+4 1.695441+3 3.311311+4 1.679218+3 3.427678+4 1.524104+3570023522 1861 3.467369+4 1.475347+3 3.507519+4 1.428182+3 3.548134+4 1.382555+3570023522 1862 3.589219+4 1.338258+3 3.630781+4 1.295411+3 3.672823+4 1.253942+3570023522 1863 3.715352+4 1.213825+3 3.894300+4 1.062883+3 3.894300+4 6.197685+3570023522 1864 3.927000+4 6.081932+3 3.935501+4 6.048067+3 3.981072+4 5.870933+3570023522 1865 4.000000+4 5.799387+3 4.027170+4 5.698760+3 4.073803+4 5.527146+3570023522 1866 4.168694+4 5.199342+3 4.216965+4 5.051340+3 4.265795+4 4.907574+3570023522 1867 4.315191+4 4.759567+3 4.365158+4 4.616036+3 4.570882+4 4.083964+3570023522 1868 4.623810+4 3.960867+3 4.677351+4 3.841347+3 4.786301+4 3.615413+3570023522 1869 4.841724+4 3.507493+3 4.954502+4 3.301267+3 5.011872+4 3.202743+3570023522 1870 5.069907+4 3.107167+3 5.128614+4 3.014455+3 5.188000+4 2.924500+3570023522 1871 5.248075+4 2.837209+3 5.308844+4 2.750614+3 5.370318+4 2.666670+3570023522 1872 5.495409+4 2.506229+3 5.754399+4 2.213827+3 5.841730+4 2.125818+3570023522 1873 5.888437+4 2.080715+3 6.000000+4 1.976827+3 6.095369+4 1.893569+3570023522 1874 6.165950+4 1.835002+3 6.309573+4 1.723262+3 6.382635+4 1.669911+3570023522 1875 6.531306+4 1.568130+3 6.606934+4 1.519586+3 6.683439+4 1.472546+3570023522 1876 7.161434+4 1.219410+3 7.244360+4 1.181680+3 7.300000+4 1.157251+3570023522 1877 7.413102+4 1.108938+3 7.500000+4 1.073669+3 7.762471+4 9.758788+2570023522 1878 8.000000+4 8.975572+2 8.128305+4 8.587866+2 8.413951+4 7.803046+2570023522 1879 8.609938+4 7.320162+2 8.709636+4 7.090070+2 9.015711+4 6.442238+2570023522 1880 9.120108+4 6.239534+2 9.332543+4 5.848298+2 9.772372+4 5.138013+2570023522 1881 1.000000+5 4.815966+2 1.011580+5 4.662600+2 1.023293+5 4.514142+2570023522 1882 1.035142+5 4.370413+2 1.059254+5 4.096542+2 1.071519+5 3.966132+2570023522 1883 1.109175+5 3.599232+2 1.122019+5 3.484648+2 1.188502+5 2.963802+2570023522 1884 1.202264+5 2.868732+2 1.216186+5 2.776727+2 1.244515+5 2.601489+2570023522 1885 1.258925+5 2.518075+2 1.273503+5 2.437332+2 1.288250+5 2.359181+2570023522 1886 1.318257+5 2.210357+2 1.348963+5 2.070933+2 1.364583+5 2.004522+2570023522 1887 1.380384+5 1.940244+2 1.396368+5 1.878025+2 1.412538+5 1.817802+2570023522 1888 1.428894+5 1.759517+2 1.445440+5 1.703102+2 1.496236+5 1.544493+2570023522 1889 1.500000+5 1.533550+2 1.531088+5 1.447072+2 1.603245+5 1.270303+2570023522 1890 1.621810+5 1.229605+2 1.640590+5 1.190212+2 1.659587+5 1.152083+2570023522 1891 1.698244+5 1.079454+2 1.717908+5 1.044881+2 1.737801+5 1.011415+2570023522 1892 1.757924+5 9.790223+1 1.819701+5 8.879447+1 1.862087+5 8.319984+1570023522 1893 1.883649+5 8.053623+1 1.905461+5 7.795851+1 1.972423+5 7.071043+1570023522 1894 2.000000+5 6.799044+1 2.018366+5 6.625719+1 2.041738+5 6.413706+1570023522 1895 2.065380+5 6.208488+1 2.089296+5 6.009842+1 2.137962+5 5.634853+1570023522 1896 2.162719+5 5.456266+1 2.187762+5 5.283388+1 2.238721+5 4.953905+1570023522 1897 2.264644+5 4.797107+1 2.290868+5 4.645272+1 2.317395+5 4.498249+1570023522 1898 2.344229+5 4.355891+1 2.398833+5 4.084570+1 2.426610+5 3.955321+1570023522 1899 2.454709+5 3.830165+1 2.483133+5 3.709005+1 2.511886+5 3.591735+1570023522 1900 2.540973+5 3.478172+1 2.570396+5 3.369614+1 2.630268+5 3.162562+1570023522 1901 2.660725+5 3.063865+1 2.722701+5 2.875621+1 2.754229+5 2.785884+1570023522 1902 2.786121+5 2.698952+1 2.818383+5 2.614753+1 2.851018+5 2.533188+1570023522 1903 2.884032+5 2.454299+1 2.951209+5 2.303822+1 3.000000+5 2.202357+1570023522 1904 3.000060+5 2.202236+1 3.019952+5 2.163275+1 3.054921+5 2.097043+1570023522 1905 3.090295+5 2.032840+1 3.126079+5 1.970603+1 3.162278+5 1.910288+1570023522 1906 3.198895+5 1.851822+1 3.235937+5 1.795148+1 3.311311+5 1.686977+1570023522 1907 3.349654+5 1.635364+1 3.388442+5 1.585413+1 3.427678+5 1.536993+1570023522 1908 3.467369+5 1.490053+1 3.507519+5 1.445374+1 3.548134+5 1.402037+1570023522 1909 3.589219+5 1.360000+1 3.630781+5 1.319224+1 3.672823+5 1.279682+1570023522 1910 3.715352+5 1.241328+1 3.801894+5 1.168034+1 3.845918+5 1.133027+1570023522 1911 3.890451+5 1.099144+1 3.935501+5 1.066276+1 3.981072+5 1.034972+1570023522 1912 4.000000+5 1.022344+1 4.027170+5 1.004595+1 4.073803+5 9.751156+0570023522 1913 4.120975+5 9.465112+0 4.168694+5 9.187457+0 4.265795+5 8.656365+0570023522 1914 4.315191+5 8.402515+0 4.365158+5 8.156117+0 4.415705+5 7.917441+0570023522 1915 4.466836+5 7.690394+0 4.518559+5 7.469862+0 4.570882+5 7.255768+0570023522 1916 4.623810+5 7.047872+0 4.677351+5 6.845937+0 4.731513+5 6.649838+0570023522 1917 4.786301+5 6.459362+0 4.954502+5 5.920053+0 5.000000+5 5.788304+0570023522 1918 5.011872+5 5.754605+0 5.069907+5 5.593801+0 5.128614+5 5.437615+0570023522 1919 5.248075+5 5.138298+0 5.432503+5 4.719938+0 5.495409+5 4.588204+0570023522 1920 5.559043+5 4.462984+0 5.623413+5 4.341506+0 5.688529+5 4.223420+0570023522 1921 5.754399+5 4.108604+0 5.956621+5 3.782557+0 6.000000+5 3.717425+0570023522 1922 6.025596+5 3.679737+0 6.095369+5 3.579714+0 6.165950+5 3.484656+0570023522 1923 6.237348+5 3.392153+0 6.309573+5 3.302379+0 6.382635+5 3.215025+0570023522 1924 6.456542+5 3.129985+0 6.531306+5 3.047195+0 6.606935+5 2.966600+0570023522 1925 6.683439+5 2.888138+0 6.760830+5 2.813887+0 6.839117+5 2.741567+0570023522 1926 6.918310+5 2.671129+0 6.998420+5 2.602694+0 7.079458+5 2.536049+0570023522 1927 7.161434+5 2.471112+0 7.244360+5 2.407842+0 7.328245+5 2.346193+0570023522 1928 7.413102+5 2.286123+0 7.585776+5 2.173415+0 7.673615+5 2.119178+0570023522 1929 7.762471+5 2.066436+0 7.852356+5 2.015034+0 7.943282+5 1.964914+0570023522 1930 8.035261+5 1.916040+0 8.222427+5 1.821911+0 8.413951+5 1.734604+0570023522 1931 8.511380+5 1.692553+0 8.609938+5 1.651652+0 8.709636+5 1.611749+0570023522 1932 8.912509+5 1.534872+0 9.015711+5 1.497821+0 9.120108+5 1.461678+0570023522 1933 9.225714+5 1.426407+0 9.332543+5 1.391990+0 9.440609+5 1.358524+0570023522 1934 9.549926+5 1.326988+0 9.660509+5 1.296209+0 9.772372+5 1.266158+0570023522 1935 9.885531+5 1.236804+0 1.000000+6 1.208137+0 1.011579+6 1.180148+0570023522 1936 1.022000+6 1.155778+0 1.023293+6 1.152807+0 1.035142+6 1.126910+0570023522 1937 1.047129+6 1.101605+0 1.059254+6 1.076871+0 1.071519+6 1.052706+0570023522 1938 1.083927+6 1.029094+0 1.096478+6 1.006013+0 1.109175+6 9.834491-1570023522 1939 1.122018+6 9.613932-1 1.135011+6 9.398298-1 1.148154+6 9.187581-1570023522 1940 1.161449+6 8.981668-1 1.174898+6 8.785544-1 1.188502+6 8.594296-1570023522 1941 1.202264+6 8.407204-1 1.216186+6 8.224297-1 1.244515+6 7.870348-1570023522 1942 1.250000+6 7.804503-1 1.258925+6 7.699214-1 1.273503+6 7.531845-1570023522 1943 1.288250+6 7.368113-1 1.303167+6 7.212548-1 1.318257+6 7.060754-1570023522 1944 1.333521+6 6.912162-1 1.348963+6 6.766688-1 1.364583+6 6.624377-1570023522 1945 1.380384+6 6.485061-1 1.396368+6 6.348749-1 1.412538+6 6.215303-1570023522 1946 1.428894+6 6.084672-1 1.445440+6 5.956789-1 1.462177+6 5.835118-1570023522 1947 1.479108+6 5.716320-1 1.513561+6 5.485927-1 1.531087+6 5.374315-1570023522 1948 1.584893+6 5.052917-1 1.640590+6 4.750739-1 1.659587+6 4.657210-1570023522 1949 1.678804+6 4.565545-1 1.698244+6 4.475683-1 1.717908+6 4.387605-1570023522 1950 1.737801+6 4.301337-1 1.757924+6 4.216767-1 1.798871+6 4.052587-1570023522 1951 1.819701+6 3.972909-1 1.840772+6 3.894799-1 1.862087+6 3.818224-1570023522 1952 1.883649+6 3.745607-1 1.905461+6 3.674391-1 1.927525+6 3.604530-1570023522 1953 1.949845+6 3.536006-1 1.972423+6 3.468852-1 2.018366+6 3.338350-1570023522 1954 2.041738+6 3.274949-1 2.044000+6 3.268916-1 2.113489+6 3.091886-1570023522 1955 2.137962+6 3.035218-1 2.162719+6 2.979587-1 2.187762+6 2.924984-1570023522 1956 2.213095+6 2.871398-1 2.238721+6 2.818833-1 2.290868+6 2.716569-1570023522 1957 2.317395+6 2.666838-1 2.398833+6 2.523041-1 2.426610+6 2.478470-1570023522 1958 2.454709+6 2.434686-1 2.483133+6 2.391682-1 2.511886+6 2.349450-1570023522 1959 2.540973+6 2.307993-1 2.600160+6 2.227261-1 2.630268+6 2.187962-1570023522 1960 2.722701+6 2.074174-1 2.754229+6 2.037575-1 2.786121+6 2.002835-1570023522 1961 2.818383+6 1.968687-1 2.851018+6 1.935126-1 2.884032+6 1.902145-1570023522 1962 2.917427+6 1.869750-1 3.000000+6 1.793486-1 3.019952+6 1.775836-1570023522 1963 3.162278+6 1.657915-1 3.198895+6 1.629679-1 3.235937+6 1.602828-1570023522 1964 3.273407+6 1.576420-1 3.311311+6 1.550450-1 3.349654+6 1.524915-1570023522 1965 3.388442+6 1.499818-1 3.467369+6 1.450858-1 3.507519+6 1.426980-1570023522 1966 3.672823+6 1.335336-1 3.715352+6 1.313360-1 3.758374+6 1.292468-1570023522 1967 3.801894+6 1.271908-1 3.845918+6 1.251679-1 3.890451+6 1.231777-1570023522 1968 3.935501+6 1.212204-1 4.027170+6 1.173989-1 4.073803+6 1.155335-1570023522 1969 4.265795+6 1.083638-1 4.315191+6 1.066420-1 4.365158+6 1.050020-1570023522 1970 4.415704+6 1.033871-1 4.466836+6 1.017973-1 4.518559+6 1.002324-1570023522 1971 4.623810+6 9.717640-2 4.731513+6 9.421356-2 4.786301+6 9.276622-2570023522 1972 5.011872+6 8.719578-2 5.069907+6 8.585625-2 5.188000+6 8.331678-2570023522 1973 5.248075+6 8.207534-2 5.308844+6 8.085257-2 5.370318+6 7.964830-2570023522 1974 5.495409+6 7.729487-2 5.623413+6 7.501099-2 5.688529+6 7.389448-2570023522 1975 6.000000+6 6.893753-2 6.025596+6 6.855634-2 6.165950+6 6.659157-2570023522 1976 6.237348+6 6.563041-2 6.309573+6 6.468323-2 6.382635+6 6.374995-2570023522 1977 6.456542+6 6.283073-2 6.606934+6 6.103190-2 6.760830+6 5.928456-2570023522 1978 6.839116+6 5.842975-2 7.244360+6 5.433704-2 7.498942+6 5.208833-2570023522 1979 7.585776+6 5.135964-2 7.673615+6 5.064122-2 7.762471+6 4.993304-2570023522 1980 7.852356+6 4.923521-2 8.035261+6 4.786870-2 8.222427+6 4.654011-2570023522 1981 8.317638+6 4.588971-2 8.709636+6 4.337775-2 8.810489+6 4.277156-2570023522 1982 9.120108+6 4.104998-2 9.332543+6 3.994094-2 9.440609+6 3.939776-2570023522 1983 9.660509+6 3.833370-2 9.772372+6 3.781280-2 1.011579+7 3.629225-2570023522 1984 1.023293+7 3.579909-2 1.035142+7 3.531265-2 1.083927+7 3.343208-2570023522 1985 1.096478+7 3.299018-2 1.122018+7 3.212392-2 1.148154+7 3.128037-2570023522 1986 1.161449+7 3.086699-2 1.200000+7 2.972428-2 1.202264+7 2.965963-2570023522 1987 1.216186+7 2.926795-2 1.288250+7 2.738585-2 1.303167+7 2.702422-2570023522 1988 1.318257+7 2.666736-2 1.364583+7 2.562482-2 1.380384+7 2.529535-2570023522 1989 1.400000+7 2.489736-2 1.412538+7 2.464913-2 1.428894+7 2.433226-2570023522 1990 1.445440+7 2.401947-2 1.500000+7 2.304008-2 1.531087+7 2.251539-2570023522 1991 1.698244+7 2.004214-2 1.717908+7 1.978469-2 1.757924+7 1.927965-2570023522 1992 1.819701+7 1.854617-2 1.840772+7 1.831289-2 1.862087+7 1.808313-2570023522 1993 1.883649+7 1.785625-2 1.905461+7 1.763222-2 1.972423+7 1.697701-2570023522 1994 2.000000+7 1.672065-2 2.264644+7 1.459183-2 2.290868+7 1.440888-2570023522 1995 2.317395+7 1.422823-2 2.344229+7 1.405286-2 2.371374+7 1.387998-2570023522 1996 2.570396+7 1.272815-2 2.630268+7 1.241709-2 3.273407+7 9.816065-3570023522 1997 3.311311+7 9.695377-3 3.349654+7 9.576440-3 3.507519+7 9.124715-3570023522 1998 3.548134+7 9.015200-3 3.589219+7 8.907000-3 5.069907+7 6.200342-3570023522 1999 5.128614+7 6.125926-3 5.188000+7 6.052404-3 5.248075+7 5.979876-3570023522 2000 5.559043+7 5.634978-3 5.623413+7 5.568444-3 5.688529+7 5.502696-3570023522 2001 8.317638+7 3.718370-3 8.413951+7 3.674468-3 8.511380+7 3.631137-3570023522 2002 8.609938+7 3.588326-3 9.225714+7 3.344580-3 9.440609+7 3.267087-3570023522 2003 9.549926+7 3.229016-3 1.621810+8 1.883266-3 1.640590+8 1.861321-3570023522 2004 1.659587+8 1.839651-3 1.678804+8 1.818233-3 1.698244+8 1.797067-3570023522 2005 1.717908+8 1.776311-3 1.840772+8 1.656717-3 1.883649+8 1.618676-3570023522 2006 1.905461+8 1.599984-3 3.235937+8 9.377407-4 3.273407+8 9.269122-4570023522 2007 3.311311+8 9.162142-4 3.349654+8 9.056396-4 3.388442+8 8.951877-4570023522 2008 3.427678+8 8.849027-4 3.672823+8 8.256293-4 3.758374+8 8.067690-4570023522 2009 3.801894+8 7.975011-4 1.288250+9 2.343331-4 1.303167+9 2.316412-4570023522 2010 1.318257+9 2.289810-4 1.333521+9 2.263515-4 1.348963+9 2.237521-4570023522 2011 1.364583+9 2.211898-4 1.462177+9 2.064208-4 1.496236+9 2.017204-4570023522 2012 1.513561+9 1.994106-4 1.00000+11 3.013992-6 570023522 2013 570023 0 2014 5.700000+4 1.377120+2 0 0 0 0570023534 2015 3.894300+4 0.0 0 0 1 51570023534 2016 51 5 570023534 2017 3.894300+4 5.134802+3 3.927000+4 5.043800+3 4.027170+4 4.731944+3570023534 2018 4.168694+4 4.322774+3 4.265795+4 4.086357+3 4.677351+4 3.209025+3570023534 2019 5.248075+4 2.381537+3 5.888437+4 1.752819+3 7.300000+4 9.800400+2570023534 2020 9.120108+4 5.305220+2 1.188502+5 2.528302+2 2.089296+5 5.144914+1570023534 2021 2.540973+5 2.979240+1 3.000060+5 1.887202+1 3.467369+5 1.277458+1570023534 2022 3.935501+5 9.144727+0 4.415705+5 6.792493+0 4.954502+5 5.080714+0570023534 2023 5.495409+5 3.938899+0 6.095369+5 3.074096+0 6.683439+5 2.481012+0570023534 2024 7.413102+5 1.964977+0 8.222427+5 1.566901+0 9.440609+5 1.168937+0570023534 2025 1.023293+6 9.919983-1 1.161449+6 7.728980-1 1.288250+6 6.340306-1570023534 2026 1.445440+6 5.125700-1 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