22-Ti Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 2.200000+4 4.748850+1 -1 0 0 32200 1451 1 0.0 0.0 0 0 0 62200 1451 2 0.0 0.0 0 0 3 62200 1451 3 0.0 0.0 0 0 142 222200 1451 4 22-TI LLNL Eval-Jul97 D.E.Cullen, et al. 2200 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 2200 1451 6 ---- ENDF/B-VI MATERIAL 2200 2200 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 2200 1451 8 ------ ENDF/B-6 2200 1451 9 =================================================================2200 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 2200 1451 11 ENDF/B-VI format 2200 1451 12 =================================================================2200 1451 13 Contents 2200 1451 14 =================================================================2200 1451 15 MF/MT Description 2200 1451 16 =================================================================2200 1451 17 23/501 Total cross sections 2200 1451 18 23/502 Coherent scattering cross sections 2200 1451 19 23/504 Incoherent scattering cross sections 2200 1451 20 23/515 Pair production cross sections, Electron field 2200 1451 21 23/516 Pair production cross sections, Total 2200 1451 22 23/517 Pair production cross sections, Nuclear field 2200 1451 23 23/522 Total photoionization cross section 2200 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 2200 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 2200 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 2200 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 2200 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 2200 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 2200 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 2200 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 2200 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 2200 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 2200 1451 34 =================================================================2200 1451 35 27/502 Coherent scattering form factors 2200 1451 36 27/504 Incoherent scattering functions 2200 1451 37 27/505 Imaginary anomalous scattering factor 2200 1451 38 27/506 Real anomalous scattering factor 2200 1451 39 =================================================================2200 1451 40 Warning 2200 1451 41 =================================================================2200 1451 42 MF/MT combinations used to define photoionization subshell cross2200 1451 43 sections (MF=23, MT=534-572) and coherent anomalous scattering 2200 1451 44 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 2200 1451 45 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 2200 1451 46 If you are not prepared to use this data you need merely delete 2200 1451 47 it and all of the remaining data will still be consistent and 2200 1451 48 equivalent to the types of data in earlier versions of ENDF/B. 2200 1451 49 However, this will limit the range of problems to which this 2200 1451 50 data can be applied (see: ref. 1 for details). 2200 1451 51 =================================================================2200 1451 52 Definition of new types of data 2200 1451 53 =================================================================2200 1451 54 1) The total photoionization cross section is equal to the sum 2200 1451 55 of the photoionization subshell cross sections. 2200 1451 56 2200 1451 57 For each subshell on the second line of a section the C1 and 2200 1451 58 C2 fields are defined as, 2200 1451 59 2200 1451 60 EPE = The photoionization edge energy (similar to Q-value) 2200 1451 61 EFL = The fluorescence yield (eV/photoionization) 2200 1451 62 2200 1451 63 2) The angular distribution of coherently scattered photons is, 2200 1451 64 2200 1451 65 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2200 1451 66 2200 1451 67 S(E,MU) = Angular distributions (barns per unit cosine) 2200 1451 68 T = The Thomson cross section 2200 1451 69 MU = The cosine of the scattering angle 2200 1451 70 FF(M) = The atomic form factor 2200 1451 71 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 2200 1451 72 F1(E) = The real anomalous scattering factor 2200 1451 73 F2(E) = The imaginary anomalous scattering factor 2200 1451 74 2200 1451 75 F1(E) and F2(E) are isotropic. 2200 1451 76 2200 1451 77 When F1(E) = F2(E) = 0 this reduces to the result obtained 2200 1451 78 using only form factors (the older ENDF/B convention). 2200 1451 79 =================================================================2200 1451 80 Differences between EPDL97 and the data base presented here 2200 1451 81 =================================================================2200 1451 82 1) Energy range - EPDL97 - 1 eV to 100 GeV 2200 1451 83 Here - 1 eV TO 100 GeV (previously 100 MeV) 2200 1451 84 2) Type of Data - EPDL97 - Photon interaction including 2200 1451 85 photoexcitation 2200 1451 86 Here - Photon interaction - ENDF/B-VI has 2200 1451 87 no provision for photoexcitation 2200 1451 88 3) Secondary E - EPDL97 - Average energy of each secondary 2200 1451 89 (photons, electrons, positrons) 2200 1451 90 HERE - No secondary energy data 2200 1451 91 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 2200 1451 92 interpolable - the total cross 2200 1451 93 section is not included 2200 1451 94 - Form factors and scattering functions 2200 1451 95 are Log X vs. Log y, except first 2200 1451 96 interval. 2200 1451 97 - Anomalous scattering factors linearly 2200 1451 98 interpolable (they can be negative) 2200 1451 99 Here - Up through ENDF/B-V photon interaction2200 1451 100 cross sections were Log X vs. Log Y. 2200 1451 101 - For the first two Mods. of ENDF/B-VI 2200 1451 102 in order to consistently define the 2200 1451 103 total cross sections at ALL energies 2200 1451 104 all cross sections were linearized. 2200 1451 105 This was NOT a good idea. 2200 1451 106 - Starting with Mod. 3, cross sections 2200 1451 107 are left in Log X vs. Log. Y form so 2200 1451 108 that they are IDENTICAL to what's in 2200 1451 109 EPDL97. 2200 1451 110 The total is defined ONLY at the 2200 1451 111 energies tabulated in any other cross 2200 1451 112 section. 2200 1451 113 WARNING - As a result the total cross section 2200 1451 114 MUST NOT be interpolated to define the2200 1451 115 total between tabulated energies. The 2200 1451 116 ONLY consist way to define the total 2200 1451 117 between tabulated energies is to 2200 1451 118 interpolate all of the partials and 2200 1451 119 add them up. 2200 1451 120 =================================================================2200 1451 121 References 2200 1451 122 =================================================================2200 1451 123 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 2200 1451 124 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 2200 1451 125 graphs of photon interaction cross sections from 10 eV to 100 2200 1451 126 GeV derived from the LLNL Evaluated Photon data library (EPDL), 2200 1451 127 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 2200 1451 128 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 2200 1451 129 2200 1451 130 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 2200 1451 131 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 2200 1451 132 Rev. 5, Lawrence Livermore National Laboratory (1997) 2200 1451 133 2200 1451 134 These are the primary references to the contents of this library2200 1451 135 and they contain a complete list of references to the sources 2200 1451 136 of data used in this library, methods of evaluation, accuracy 2200 1451 137 of the data, etc. 2200 1451 138 =================================================================2200 1451 139 History 2200 1451 140 =================================================================2200 1451 141 Mod. 1 - October, 1989 - Initial release. 2200 1451 142 Mod. 2 - August, 1990 - Updated photoionization total and 2200 1451 143 subshell cross sections. 2200 1451 144 Mod. 3 - July, 1997 - Complete re-evaluation. 2200 1451 145 =================================================================2200 1451 146 1 451 168 32200 1451 147 23 501 671 32200 1451 148 23 502 289 32200 1451 149 23 504 40 32200 1451 150 23 515 32 32200 1451 151 23 516 49 32200 1451 152 23 517 37 32200 1451 153 23 522 315 32200 1451 154 23 534 23 32200 1451 155 23 535 29 32200 1451 156 23 536 36 32200 1451 157 23 537 37 32200 1451 158 23 538 36 32200 1451 159 23 539 48 32200 1451 160 23 540 49 32200 1451 161 23 541 48 32200 1451 162 23 542 49 32200 1451 163 23 543 77 32200 1451 164 27 502 52 32200 1451 165 27 504 53 32200 1451 166 27 505 124 32200 1451 167 27 506 128 32200 1451 168 2200 1 0 169 2200 0 0 170 2.200000+4 4.748850+1 0 0 0 0220023501 171 0.0 0.0 0 0 1 2003220023501 172 2003 5 220023501 173 1.000000+0 4.896171-2 1.112188+0 7.971808-2 1.182786+0 1.065759-1220023501 174 1.257865+0 1.435374-1 1.258900+0 1.441218-1 1.297174+0 1.671054-1220023501 175 1.337710+0 1.950026-1 1.379514+0 2.281444-1 1.422623+0 2.676713-1220023501 176 1.466748+0 3.146147-1 1.509494+0 3.673434-1 1.550904+0 4.262767-1220023501 177 1.584900+0 4.813526-1 1.591021+0 4.918635-1 1.629883+0 5.647126-1220023501 178 1.667531+0 6.453912-1 1.704003+0 7.344787-1 1.739334+0 8.325855-1220023501 179 1.773562+0 9.403540-1 1.806720+0 1.058459+0 1.838842+0 1.187614+0220023501 180 1.869960+0 1.328562+0 1.900106+0 1.482091+0 1.929309+0 1.649024+0220023501 181 1.957600+0 1.830228+0 1.985007+0 2.026711+0 1.995300+0 2.107379+0220023501 182 2.011557+0 2.240462+0 2.062195+0 2.716922+0 2.086333+0 2.983428+0220023501 183 2.109717+0 3.270779+0 2.132370+0 3.579728+0 2.154316+0 3.911529+0220023501 184 2.175575+0 4.267490+0 2.196170+0 4.648974+0 2.216122+0 5.057410+0220023501 185 2.235450+0 5.494464+0 2.254174+0 5.962715+0 2.272313+0 6.464603+0220023501 186 2.304000+0 7.463093+0 2.323399+0 8.163337+0 2.339374+0 8.803986+0220023501 187 2.354851+0 9.488481+0 2.369844+0 1.021842+1 2.398892+0 1.184047+1220023501 188 2.426125+0 1.365947+1 2.451656+0 1.569992+1 2.475591+0 1.798352+1220023501 189 2.498030+0 2.053221+1 2.511900+0 2.236377+1 2.519067+0 2.336901+1220023501 190 2.538789+0 2.651806+1 2.557279+0 3.000454+1 2.574612+0 3.385458+1220023501 191 2.590863+0 3.809518+1 2.606098+0 4.275406+1 2.620380+0 4.785960+1220023501 192 2.633770+0 5.344063+1 2.646323+0 5.952630+1 2.658092+0 6.614593+1220023501 193 2.669125+0 7.332884+1 2.679468+0 8.110419+1 2.689165+0 8.950088+1220023501 194 2.698256+0 9.854744+1 2.706779+0 1.082721+2 2.714769+0 1.187028+2220023501 195 2.722259+0 1.298674+2 2.729282+0 1.417936+2 2.735866+0 1.545096+2220023501 196 2.742038+0 1.680438+2 2.747824+0 1.824263+2 2.753249+0 1.976896+2220023501 197 2.758334+0 2.138694+2 2.763102+0 2.310051+2 2.767572+0 2.491387+2220023501 198 2.771763+0 2.683129+2 2.779620+0 3.114517+2 2.786495+0 3.594362+2220023501 199 2.792510+0 4.122216+2 2.797774+0 4.694017+2 2.802380+0 5.302138+2220023501 200 2.806410+0 5.936231+2 2.809936+0 6.584477+2 2.813021+0 7.234865+2220023501 201 2.815721+0 7.876230+2 2.820446+0 9.184687+2 2.826647+0 1.132563+3220023501 202 2.835492+0 1.540404+3 2.845085+0 2.149380+3 2.848574+0 2.419403+3220023501 203 2.853806+0 2.875500+3 2.858031+0 3.288330+3 2.862528+0 3.769528+3220023501 204 2.864272+0 3.967054+3 2.869505+0 4.591743+3 2.873873+0 5.143419+3220023501 205 2.879367+0 5.861692+3 2.883214+0 6.369674+3 2.886401+0 6.786667+3220023501 206 2.889491+0 7.182236+3 2.892962+0 7.609579+3 2.895861+0 7.947655+3220023501 207 2.899588+0 8.349737+3 2.902665+0 8.648261+3 2.906621+0 8.979665+3220023501 208 2.911181+0 9.277981+3 2.914399+0 9.428838+3 2.918624+0 9.546659+3220023501 209 2.922373+0 9.572215+3 2.925966+0 9.526321+3 2.929164+0 9.428371+3220023501 210 2.934753+0 9.134335+3 2.938541+0 8.853379+3 2.942665+0 8.481803+3220023501 211 2.945756+0 8.164727+3 2.949227+0 7.776042+3 2.952125+0 7.430081+3220023501 212 2.955852+0 6.964222+3 2.959369+0 6.510596+3 2.962886+0 6.050882+3220023501 213 2.966402+0 5.591993+3 2.969919+0 5.140186+3 2.974161+0 4.612324+3220023501 214 2.977831+0 4.176475+3 2.984864+0 3.409809+3 2.988710+0 3.033708+3220023501 215 2.994534+0 2.525988+3 3.002197+0 1.970621+3 3.014544+0 1.318591+3220023501 216 3.018631+0 1.158674+3 3.022701+0 1.022189+3 3.026756+0 9.060553+2220023501 217 3.030795+0 8.074084+2 3.034818+0 7.236477+2 3.038825+0 6.524586+2220023501 218 3.042816+0 5.918175+2 3.046792+0 5.399817+2 3.050753+0 4.954710+2220023501 219 3.054698+0 4.570422+2 3.062557+0 3.943707+2 3.070355+0 3.458661+2220023501 220 3.078092+0 3.073336+2 3.085768+0 2.759960+2 3.093384+0 2.500001+2220023501 221 3.100941+0 2.280843+2 3.108439+0 2.093650+2 3.115879+0 1.932033+2220023501 222 3.123260+0 1.791235+2 3.130583+0 1.667618+2 3.137850+0 1.558341+2220023501 223 3.145059+0 1.461145+2 3.159366+0 1.295474+2 3.162300+0 1.266067+2220023501 224 3.173449+0 1.160505+2 3.187311+0 1.048756+2 3.200958+0 9.549943+1220023501 225 3.214391+0 8.754347+1 3.227614+0 8.072641+1 3.240630+0 7.483477+1220023501 226 3.253444+0 6.970379+1 3.266056+0 6.520373+1 3.278472+0 6.123016+1220023501 227 3.302916+0 5.449172+1 3.326596+0 4.905678+1 3.349536+0 4.459836+1220023501 228 3.371759+0 4.089105+1 3.393287+0 3.777022+1 3.414143+0 3.511500+1220023501 229 3.434347+0 3.283578+1 3.453920+0 3.086213+1 3.491842+0 2.756448+1220023501 230 3.527394+0 2.497374+1 3.560724+0 2.290207+1 3.600000+0 2.081036+1220023501 231 3.648727+0 1.863569+1 3.700220+0 1.672885+1 3.745277+0 1.530758+1220023501 232 3.784701+0 1.422752+1 3.853694+0 1.260785+1 3.905438+0 1.157272+1220023501 233 3.981100+0 1.028665+1 4.090656+0 8.707457+0 4.200599+0 7.394756+0220023501 234 4.260568+0 6.746830+0 4.367002+0 5.644078+0 4.406914+0 5.228768+0220023501 235 4.441838+0 4.857040+0 4.472396+0 4.519992+0 4.499134+0 4.211507+0220023501 236 4.522530+0 3.927431+0 4.550550+0 3.563911+0 4.560915+0 3.421246+0220023501 237 4.576588+0 3.194982+0 4.590302+0 2.984716+0 4.602302+0 2.789755+0220023501 238 4.612802+0 2.609929+0 4.621990+0 2.445409+0 4.630029+0 2.296447+0220023501 239 4.637063+0 2.163132+0 4.649373+0 1.927466+0 4.670723+0 1.549364+0220023501 240 4.677539+0 1.452791+0 4.681921+0 1.401395+0 4.686303+0 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8.810489+3 2.745917+1 1.023293+4 1.624704+1 1.188502+4 9.542954+0220023540 1854 1.396368+4 5.339891+0 1.659587+4 2.844089+0 1.972423+4 1.503590+0220023540 1855 2.344229+4 7.893841-1 2.884032+4 3.611956-1 3.630781+4 1.502819-1220023540 1856 4.623810+4 5.939929-2 7.943282+4 7.386502-3 1.000000+5 3.055375-3220023540 1857 1.202264+5 1.518581-3 1.412538+5 8.297867-4 1.640590+5 4.769590-4220023540 1858 1.862087+5 3.006524-4 2.113489+5 1.909896-4 2.371374+5 1.274071-4220023540 1859 2.630268+5 8.913920-5 2.917427+5 6.283752-5 3.198895+5 4.637385-5220023540 1860 3.507519+5 3.446787-5 3.845918+5 2.581342-5 4.168694+5 2.017945-5220023540 1861 4.518559+5 1.587784-5 4.897788+5 1.257349-5 5.308844+5 1.002095-5220023540 1862 5.754399+5 8.040152-6 6.165950+5 6.695152-6 6.683439+5 5.445256-6220023540 1863 7.244360+5 4.459843-6 7.852356+5 3.677831-6 8.609938+5 2.970302-6220023540 1864 9.225714+5 2.546557-6 9.885531+5 2.197325-6 1.096478+6 1.778858-6220023540 1865 1.174898+6 1.553316-6 1.288250+6 1.305992-6 1.428894+6 1.082513-6220023540 1866 1.603245+6 8.856298-7 1.798871+6 7.299129-7 2.018366+6 6.060144-7220023540 1867 2.290868+6 4.978434-7 2.600160+6 4.120930-7 2.985383+6 3.378883-7220023540 1868 3.467369+6 2.745805-7 4.027170+6 2.247909-7 4.786301+6 1.798977-7220023540 1869 5.754399+6 1.429229-7 7.000000+6 1.127800-7 8.709636+6 8.727794-8220023540 1870 1.122018+7 6.540962-8 1.513561+7 4.694929-8 2.065380+7 3.355558-8220023540 1871 2.951209+7 2.299724-8 4.786301+7 1.391326-8 8.709636+7 7.539938-9220023540 1872 1.737801+8 3.746503-9 3.467369+8 1.869816-9 2.754229+9 2.34452-10220023540 1873 1.00000+11 6.45540-12 220023540 1874 220023 0 1875 2.200000+4 4.748850+1 0 0 0 0220023541 1876 8.390000+0 0.0 0 0 1 135220023541 1877 135 5 220023541 1878 8.390000+0 7.703072+5 9.700000+0 9.619360+5 1.047129+1 1.074778+6220023541 1879 1.122018+1 1.179723+6 1.202264+1 1.286972+6 1.288250+1 1.394455+6220023541 1880 1.380384+1 1.500906+6 1.479108+1 1.605743+6 1.584893+1 1.707394+6220023541 1881 1.698244+1 1.803810+6 1.800000+1 1.878968+6 1.927525+1 1.957716+6220023541 1882 2.041738+1 2.014463+6 2.162719+1 2.059091+6 2.290868+1 2.089664+6220023541 1883 2.426610+1 2.105640+6 2.570396+1 2.105098+6 2.691535+1 2.092418+6220023541 1884 2.851018+1 2.061171+6 3.019952+1 2.013940+6 3.198895+1 1.952813+6220023541 1885 3.400000+1 1.875344+6 3.589219+1 1.797774+6 3.845918+1 1.690860+6220023541 1886 4.120975+1 1.578915+6 4.415704+1 1.464647+6 4.786301+1 1.331939+6220023541 1887 5.150000+1 1.213152+6 5.559043+1 1.091958+6 5.900000+1 1.000000+6220023541 1888 6.309573+1 8.989572+5 6.683439+1 8.155881+5 7.079458+1 7.354381+5220023541 1889 7.585776+1 6.449570+5 8.128305+1 5.614806+5 8.810489+1 4.741915+5220023541 1890 9.660509+1 3.877528+5 1.047129+2 3.233873+5 1.150000+2 2.601016+5220023541 1891 1.260000+2 2.086432+5 1.364583+2 1.709104+5 1.479108+2 1.388605+5220023541 1892 1.640590+2 1.054826+5 1.819701+2 7.957193+4 2.018366+2 5.960867+4220023541 1893 2.220000+2 4.539768+4 2.483133+2 3.269733+4 2.851018+2 2.162860+4220023541 1894 3.162278+2 1.576627+4 3.548134+2 1.101797+4 4.000000+2 7.531600+3220023541 1895 4.518559+2 5.077268+3 5.128614+2 3.345861+3 5.821032+2 2.189198+3220023541 1896 6.606934+2 1.421239+3 7.498942+2 9.156505+2 8.609938+2 5.622937+2220023541 1897 9.772372+2 3.570631+2 1.109175+3 2.250968+2 1.258925+3 1.408275+2220023541 1898 1.412538+3 9.131517+1 1.584893+3 5.880631+1 1.778279+3 3.761024+1220023541 1899 2.000000+3 2.366514+1 2.264644+3 1.436476+1 2.570396+3 8.571005+0220023541 1900 2.951209+3 4.841206+0 3.427678+3 2.587106+0 4.027170+3 1.306759+0220023541 1901 4.786301+3 6.236127-1 5.956621+3 2.430590-1 6.918310+3 1.266804-1220023541 1902 7.943282+3 6.893352-2 9.225714+3 3.531032-2 1.096478+4 1.618016-2220023541 1903 1.318257+4 6.980976-3 1.621810+4 2.689232-3 2.162719+4 7.078024-4220023541 1904 3.198895+4 1.141841-4 5.495409+4 9.126384-6 6.760830+4 3.489777-6220023541 1905 8.128305+4 1.495480-6 9.440609+4 7.560452-7 1.071519+5 4.272217-7220023541 1906 1.216186+5 2.430504-7 1.380384+5 1.392768-7 1.566751+5 8.042406-8220023541 1907 1.757924+5 4.917022-8 1.949845+5 3.179282-8 2.137962+5 2.171858-8220023541 1908 2.371374+5 1.424874-8 2.630268+5 9.416974-9 2.917427+5 6.269547-9220023541 1909 3.273407+5 4.016528-9 3.589219+5 2.833823-9 3.890451+5 2.102573-9220023541 1910 4.120975+5 1.707723-9 4.518559+5 1.234382-9 5.069907+5 8.30336-10220023541 1911 5.495409+5 6.31323-10 5.956621+5 4.83414-10 6.382635+5 3.88084-10220023541 1912 6.839117+5 3.13712-10 8.035261+5 1.93834-10 8.511380+5 1.64107-10220023541 1913 9.015711+5 1.39910-10 9.440609+5 1.23908-10 9.885531+5 1.10443-10220023541 1914 1.035142+6 9.91555-11 1.083927+6 8.96549-11 1.135011+6 8.15692-11220023541 1915 1.202264+6 7.30174-11 1.303167+6 6.31360-11 1.428894+6 5.39380-11220023541 1916 1.778279+6 3.72936-11 1.972423+6 3.14804-11 2.213095+6 2.62827-11220023541 1917 2.511886+6 2.17126-11 2.884032+6 1.77687-11 3.349654+6 1.44142-11220023541 1918 3.890451+6 1.17811-11 4.570882+6 9.55271-12 5.559043+6 7.46826-12220023541 1919 6.683439+6 5.96822-12 8.317638+6 4.61024-12 1.059254+7 3.49487-12220023541 1920 1.412538+7 2.53607-12 1.905461+7 1.83173-12 2.754229+7 1.23814-12220023541 1921 4.518559+7 7.39342-13 8.128305+7 4.05061-13 1.621810+8 2.01148-13220023541 1922 3.235937+8 1.00353-13 2.570396+9 1.25800-14 1.00000+11 3.23250-16220023541 1923 220023 0 1924 2.200000+4 4.748850+1 0 0 0 0220023542 1925 8.340000+0 0.0 0 0 1 137220023542 1926 137 5 220023542 1927 8.340000+0 1.168708+6 9.500000+0 1.428012+6 1.023293+1 1.591007+6220023542 1928 1.100000+1 1.755696+6 1.180000+1 1.918116+6 1.273503+1 2.095698+6220023542 1929 1.364583+1 2.255645+6 1.462177+1 2.412727+6 1.570000+1 2.569152+6220023542 1930 1.690000+1 2.722164+6 1.819701+1 2.862678+6 1.927525+1 2.959265+6220023542 1931 2.041738+1 3.041026+6 2.162719+1 3.105695+6 2.290868+1 3.150465+6220023542 1932 2.426610+1 3.171640+6 2.540973+1 3.171010+6 2.660725+1 3.153615+6220023542 1933 2.818383+1 3.109142+6 2.985383+1 3.041374+6 3.162278+1 2.951797+6220023542 1934 3.350000+1 2.843268+6 3.570000+1 2.707776+6 3.801894+1 2.562021+6220023542 1935 4.073803+1 2.393385+6 4.415704+1 2.193298+6 4.731513+1 2.021766+6220023542 1936 5.128614+1 1.824930+6 5.500000+1 1.658196+6 5.900000+1 1.494708+6220023542 1937 6.309573+1 1.343695+6 6.683439+1 1.218263+6 7.161434+1 1.075292+6220023542 1938 7.585776+1 9.628932+5 8.222426+1 8.185569+5 8.912509+1 6.901148+5220023542 1939 9.660509+1 5.785337+5 1.080000+2 4.492200+5 1.190000+2 3.573480+5220023542 1940 1.288250+2 2.943070+5 1.396368+2 2.401340+5 1.531087+2 1.888738+5220023542 1941 1.720000+2 1.382124+5 1.905461+2 1.042556+5 2.113489+2 7.780010+4220023542 1942 2.344229+2 5.760662+4 2.660725+2 3.958828+4 3.000000+2 2.754024+4220023542 1943 3.388442+2 1.890125+4 3.801894+2 1.314583+4 4.315191+2 8.748593+3220023542 1944 4.897788+2 5.777383+3 5.559043+2 3.788401+3 6.237348+2 2.564168+3220023542 1945 7.079458+2 1.656870+3 8.035261+2 1.062731+3 9.120108+2 6.767425+2220023542 1946 1.035142+3 4.280759+2 1.174898+3 2.687547+2 1.333521+3 1.674192+2220023542 1947 1.500000+3 1.070637+2 1.698244+3 6.628522+1 1.905461+3 4.218657+1220023542 1948 2.089296+3 2.922627+1 2.371374+3 1.750566+1 2.691535+3 1.040647+1220023542 1949 3.126079+3 5.580589+0 3.630781+3 2.969975+0 4.265795+3 1.493651+0220023542 1950 5.069907+3 7.094315-1 6.531306+3 2.355064-1 7.498942+3 1.283060-1220023542 1951 8.413951+3 7.686764-2 9.772372+3 3.915775-2 1.161449+4 1.783749-2220023542 1952 1.396368+4 7.648462-3 1.717908+4 2.925964-3 2.317395+4 7.227747-4220023542 1953 3.349654+4 1.280601-4 5.688529+4 1.055075-5 6.918310+4 4.220947-6220023542 1954 8.128305+4 1.998153-6 9.440609+4 1.004829-6 1.109175+5 4.829402-7220023542 1955 1.258925+5 2.735104-7 1.412538+5 1.643226-7 1.548817+5 1.100156-7220023542 1956 1.717908+5 7.059586-8 1.905461+5 4.563899-8 2.137962+5 2.832608-8220023542 1957 2.344229+5 1.947669-8 2.540973+5 1.412947-8 2.754229+5 1.032578-8220023542 1958 2.985383+5 7.606313-9 3.235937+5 5.649898-9 3.507519+5 4.228777-9220023542 1959 3.801894+5 3.187020-9 4.315191+5 2.060633-9 4.623810+5 1.635596-9220023542 1960 4.897788+5 1.357329-9 5.069907+5 1.218360-9 5.432503+5 9.90511-10220023542 1961 5.821032+5 8.10999-10 6.606935+5 5.65953-10 7.161434+5 4.53154-10220023542 1962 7.762471+5 3.65571-10 8.413951+5 2.97244-10 8.912509+5 2.57965-10220023542 1963 9.440609+5 2.25286-10 1.000000+6 1.98140-10 1.071519+6 1.71278-10220023542 1964 1.135011+6 1.52468-10 1.216186+6 1.33584-10 1.333521+6 1.12839-10220023542 1965 1.479108+6 9.40308-11 1.698244+6 7.42180-11 1.905461+6 6.13753-11220023542 1966 2.137962+6 5.11328-11 2.426610+6 4.21550-11 2.754229+6 3.50053-11220023542 1967 3.198895+6 2.83289-11 3.715352+6 2.31019-11 4.365158+6 1.86926-11220023542 1968 5.248075+6 1.47961-11 6.309573+6 1.17977-11 7.762471+6 9.21785-12220023542 1969 9.660509+6 7.15688-12 1.230269+7 5.45060-12 1.640590+7 3.97133-12220023542 1970 2.264644+7 2.80932-12 3.162278+7 1.97602-12 4.954502+7 1.24012-12220023542 1971 9.015711+7 6.72320-13 1.798871+8 3.34160-13 7.161434+8 8.34220-14220023542 1972 1.13501+10 5.25389-15 1.00000+11 5.96190-16 220023542 1973 220023 0 1974 2.200000+4 4.748850+1 0 0 0 0220023543 1975 6.280000+0 0.0 0 0 1 220220023543 1976 220 5 220023543 1977 6.280000+0 8.654560+5 6.320000+0 8.281980+5 6.480000+0 6.762920+5220023543 1978 6.606934+0 5.743961+5 6.700000+0 5.085560+5 6.850000+0 4.161260+5220023543 1979 6.950000+0 3.629200+5 7.079458+0 3.026770+5 7.170000+0 2.657800+5220023543 1980 7.270000+0 2.293740+5 7.380000+0 1.940880+5 7.460000+0 1.712850+5220023543 1981 7.550000+0 1.482310+5 7.620000+0 1.320362+5 7.700000+0 1.152432+5220023543 1982 7.770000+0 1.019322+5 7.852356+0 8.778689+4 7.940000+0 7.438960+4220023543 1983 8.000000+0 6.612740+4 8.070000+0 5.735320+4 8.130000+0 5.052460+4220023543 1984 8.200000+0 4.331100+4 8.255000+0 3.817500+4 8.317638+0 3.285953+4220023543 1985 8.365000+0 2.919600+4 8.420000+0 2.530380+4 8.460000+0 2.270540+4220023543 1986 8.511380+0 1.963985+4 8.560000+0 1.700682+4 8.600000+0 1.502642+4220023543 1987 8.635000+0 1.342462+4 8.680000+0 1.153806+4 8.720000+0 1.001682+4220023543 1988 8.755000+0 8.801200+3 8.790000+0 7.688660+3 8.820000+0 6.814500+3220023543 1989 8.850000+0 6.010720+3 8.880000+0 5.275460+3 8.912509+0 4.552994+3220023543 1990 8.940000+0 4.000580+3 8.970000+0 3.457000+3 9.000000+0 2.973000+3220023543 1991 9.035000+0 2.481220+3 9.100000+0 1.766154+3 9.128000+0 1.533752+3220023543 1992 9.150000+0 1.381704+3 9.165000+0 1.293068+3 9.177000+0 1.230784+3220023543 1993 9.193000+0 1.159460+3 9.205000+0 1.114626+3 9.220000+0 1.068838+3220023543 1994 9.230000+0 1.044558+3 9.240000+0 1.025212+3 9.250000+0 1.010732+3220023543 1995 9.260000+0 1.001066+3 9.270000+0 9.961600+2 9.283000+0 9.968020+2220023543 1996 9.295000+0 1.004346+3 9.306000+0 1.017000+3 9.320000+0 1.041036+3220023543 1997 9.335000+0 1.076430+3 9.350000+0 1.121620+3 9.365000+0 1.176436+3220023543 1998 9.380000+0 1.240710+3 9.400000+0 1.340748+3 9.420000+0 1.456986+3220023543 1999 9.450000+0 1.660738+3 9.520000+0 2.266720+3 9.560000+0 2.690660+3220023543 2000 9.585000+0 2.982740+3 9.620000+0 3.425040+3 9.650000+0 3.834360+3220023543 2001 9.685000+0 4.345540+3 9.715000+0 4.811060+3 9.750000+0 5.385380+3220023543 2002 9.790000+0 6.080720+3 9.830000+0 6.815240+3 9.870000+0 7.587500+3220023543 2003 9.910000+0 8.394920+3 9.960000+0 9.451600+3 1.000000+1 1.033238+4220023543 2004 1.005000+1 1.147442+4 1.010000+1 1.265978+4 1.015000+1 1.388486+4220023543 2005 1.021500+1 1.553274+4 1.027000+1 1.697152+4 1.033000+1 1.858332+4220023543 2006 1.039000+1 2.023500+4 1.047129+1 2.252939+4 1.055000+1 2.480540+4220023543 2007 1.062000+1 2.686800+4 1.071519+1 2.972206+4 1.081000+1 3.261000+4220023543 2008 1.092000+1 3.600440+4 1.102000+1 3.911920+4 1.110000+1 4.162400+4220023543 2009 1.123000+1 4.570640+4 1.135011+1 4.947879+4 1.150000+1 5.416920+4220023543 2010 1.165000+1 5.882500+4 1.180000+1 6.342640+4 1.195000+1 6.795960+4220023543 2011 1.215000+1 7.387860+4 1.230269+1 7.828918+4 1.250000+1 8.383700+4220023543 2012 1.273503+1 9.020713+4 1.300000+1 9.706260+4 1.330000+1 1.043940+5220023543 2013 1.357000+1 1.105972+5 1.390000+1 1.176732+5 1.420000+1 1.236334+5220023543 2014 1.460000+1 1.309058+5 1.500000+1 1.374482+5 1.550000+1 1.446758+5220023543 2015 1.603245+1 1.513165+5 1.659587+1 1.572814+5 1.717908+1 1.624340+5220023543 2016 1.778279+1 1.668013+5 1.850000+1 1.708878+5 1.927525+1 1.741626+5220023543 2017 2.018366+1 1.767490+5 2.113489+1 1.782979+5 2.238721+1 1.789355+5220023543 2018 2.371374+1 1.782955+5 2.511886+1 1.765674+5 2.691535+1 1.733228+5220023543 2019 2.900000+1 1.686188+5 3.126079+1 1.628429+5 3.400000+1 1.554300+5220023543 2020 3.672823+1 1.479213+5 4.000000+1 1.390836+5 4.365158+1 1.295868+5220023543 2021 4.731513+1 1.205758+5 5.150000+1 1.110006+5 5.623413+1 1.011552+5220023543 2022 6.165950+1 9.108252+4 6.839116+1 8.030038+4 7.673615+1 6.926731+4220023543 2023 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