35-Br Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 3.500000+4 7.921760+1 -1 0 0 33500 1451 1 0.0 0.0 0 0 0 63500 1451 2 0.0 0.0 0 0 3 63500 1451 3 0.0 0.0 0 0 144 243500 1451 4 35-BR LLNL Eval-Jul97 D.E.Cullen, et al. 3500 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 3500 1451 6 ---- ENDF/B-VI MATERIAL 3500 3500 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 3500 1451 8 ------ ENDF/B-6 3500 1451 9 =================================================================3500 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 3500 1451 11 ENDF/B-VI format 3500 1451 12 =================================================================3500 1451 13 Contents 3500 1451 14 =================================================================3500 1451 15 MF/MT Description 3500 1451 16 =================================================================3500 1451 17 23/501 Total cross sections 3500 1451 18 23/502 Coherent scattering cross sections 3500 1451 19 23/504 Incoherent scattering cross sections 3500 1451 20 23/515 Pair production cross sections, Electron field 3500 1451 21 23/516 Pair production cross sections, Total 3500 1451 22 23/517 Pair production cross sections, Nuclear field 3500 1451 23 23/522 Total photoionization cross section 3500 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 3500 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 3500 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 3500 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 3500 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 3500 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 3500 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 3500 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 3500 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 3500 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 3500 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 3500 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 3500 1451 36 =================================================================3500 1451 37 27/502 Coherent scattering form factors 3500 1451 38 27/504 Incoherent scattering functions 3500 1451 39 27/505 Imaginary anomalous scattering factor 3500 1451 40 27/506 Real anomalous scattering factor 3500 1451 41 =================================================================3500 1451 42 Warning 3500 1451 43 =================================================================3500 1451 44 MF/MT combinations used to define photoionization subshell cross3500 1451 45 sections (MF=23, MT=534-572) and coherent anomalous scattering 3500 1451 46 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 3500 1451 47 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 3500 1451 48 If you are not prepared to use this data you need merely delete 3500 1451 49 it and all of the remaining data will still be consistent and 3500 1451 50 equivalent to the types of data in earlier versions of ENDF/B. 3500 1451 51 However, this will limit the range of problems to which this 3500 1451 52 data can be applied (see: ref. 1 for details). 3500 1451 53 =================================================================3500 1451 54 Definition of new types of data 3500 1451 55 =================================================================3500 1451 56 1) The total photoionization cross section is equal to the sum 3500 1451 57 of the photoionization subshell cross sections. 3500 1451 58 3500 1451 59 For each subshell on the second line of a section the C1 and 3500 1451 60 C2 fields are defined as, 3500 1451 61 3500 1451 62 EPE = The photoionization edge energy (similar to Q-value) 3500 1451 63 EFL = The fluorescence yield (eV/photoionization) 3500 1451 64 3500 1451 65 2) The angular distribution of coherently scattered photons is, 3500 1451 66 3500 1451 67 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3500 1451 68 3500 1451 69 S(E,MU) = Angular distributions (barns per unit cosine) 3500 1451 70 T = The Thomson cross section 3500 1451 71 MU = The cosine of the scattering angle 3500 1451 72 FF(M) = The atomic form factor 3500 1451 73 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 3500 1451 74 F1(E) = The real anomalous scattering factor 3500 1451 75 F2(E) = The imaginary anomalous scattering factor 3500 1451 76 3500 1451 77 F1(E) and F2(E) are isotropic. 3500 1451 78 3500 1451 79 When F1(E) = F2(E) = 0 this reduces to the result obtained 3500 1451 80 using only form factors (the older ENDF/B convention). 3500 1451 81 =================================================================3500 1451 82 Differences between EPDL97 and the data base presented here 3500 1451 83 =================================================================3500 1451 84 1) Energy range - EPDL97 - 1 eV to 100 GeV 3500 1451 85 Here - 1 eV TO 100 GeV (previously 100 MeV) 3500 1451 86 2) Type of Data - EPDL97 - Photon interaction including 3500 1451 87 photoexcitation 3500 1451 88 Here - Photon interaction - ENDF/B-VI has 3500 1451 89 no provision for photoexcitation 3500 1451 90 3) Secondary E - EPDL97 - Average energy of each secondary 3500 1451 91 (photons, electrons, positrons) 3500 1451 92 HERE - No secondary energy data 3500 1451 93 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 3500 1451 94 interpolable - the total cross 3500 1451 95 section is not included 3500 1451 96 - Form factors and scattering functions 3500 1451 97 are Log X vs. Log y, except first 3500 1451 98 interval. 3500 1451 99 - Anomalous scattering factors linearly 3500 1451 100 interpolable (they can be negative) 3500 1451 101 Here - Up through ENDF/B-V photon interaction3500 1451 102 cross sections were Log X vs. Log Y. 3500 1451 103 - For the first two Mods. of ENDF/B-VI 3500 1451 104 in order to consistently define the 3500 1451 105 total cross sections at ALL energies 3500 1451 106 all cross sections were linearized. 3500 1451 107 This was NOT a good idea. 3500 1451 108 - Starting with Mod. 3, cross sections 3500 1451 109 are left in Log X vs. Log. Y form so 3500 1451 110 that they are IDENTICAL to what's in 3500 1451 111 EPDL97. 3500 1451 112 The total is defined ONLY at the 3500 1451 113 energies tabulated in any other cross 3500 1451 114 section. 3500 1451 115 WARNING - As a result the total cross section 3500 1451 116 MUST NOT be interpolated to define the3500 1451 117 total between tabulated energies. The 3500 1451 118 ONLY consist way to define the total 3500 1451 119 between tabulated energies is to 3500 1451 120 interpolate all of the partials and 3500 1451 121 add them up. 3500 1451 122 =================================================================3500 1451 123 References 3500 1451 124 =================================================================3500 1451 125 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 3500 1451 126 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 3500 1451 127 graphs of photon interaction cross sections from 10 eV to 100 3500 1451 128 GeV derived from the LLNL Evaluated Photon data library (EPDL), 3500 1451 129 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 3500 1451 130 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 3500 1451 131 3500 1451 132 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 3500 1451 133 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 3500 1451 134 Rev. 5, Lawrence Livermore National Laboratory (1997) 3500 1451 135 3500 1451 136 These are the primary references to the contents of this library3500 1451 137 and they contain a complete list of references to the sources 3500 1451 138 of data used in this library, methods of evaluation, accuracy 3500 1451 139 of the data, etc. 3500 1451 140 =================================================================3500 1451 141 History 3500 1451 142 =================================================================3500 1451 143 Mod. 1 - October, 1989 - Initial release. 3500 1451 144 Mod. 2 - August, 1990 - Updated photoionization total and 3500 1451 145 subshell cross sections. 3500 1451 146 Mod. 3 - July, 1997 - Complete re-evaluation. 3500 1451 147 =================================================================3500 1451 148 1 451 172 33500 1451 149 23 501 696 33500 1451 150 23 502 297 33500 1451 151 23 504 40 33500 1451 152 23 515 33 33500 1451 153 23 516 51 33500 1451 154 23 517 39 33500 1451 155 23 522 331 33500 1451 156 23 534 22 33500 1451 157 23 535 27 33500 1451 158 23 536 37 33500 1451 159 23 537 30 33500 1451 160 23 538 34 33500 1451 161 23 539 38 33500 1451 162 23 540 39 33500 1451 163 23 541 51 33500 1451 164 23 542 52 33500 1451 165 23 543 56 33500 1451 166 23 544 52 33500 1451 167 23 545 52 33500 1451 168 27 502 53 33500 1451 169 27 504 55 33500 1451 170 27 505 114 33500 1451 171 27 506 80 33500 1451 172 3500 1 0 173 3500 0 0 174 3.500000+4 7.921760+1 0 0 0 0350023501 175 0.0 0.0 0 0 1 2078350023501 176 2078 5 350023501 177 1.000000+0 6.655607-6 1.024000+0 7.485514-6 1.069640+0 9.088853-6350023501 178 1.136492+0 1.090351-5 1.200000+0 1.209306-5 1.207523+0 1.243115-5350023501 179 1.245258+0 1.455366-5 1.258900+0 1.524490-5 1.284172+0 1.659382-5350023501 180 1.324303+0 1.840480-5 1.350000+0 1.951793-5 1.365687+0 2.043926-5350023501 181 1.408365+0 2.300870-5 1.452376+0 2.519497-5 1.500000+0 2.707484-5350023501 182 1.518750+0 2.817217-5 1.544568+0 3.038840-5 1.584900+0 3.377765-5350023501 183 1.592836+0 3.447758-5 1.642612+0 3.792972-5 1.687500+0 4.043873-5350023501 184 1.693943+0 4.086475-5 1.708594+0 4.204633-5 1.746879+0 4.635339-5350023501 185 1.801469+0 5.210448-5 1.857765+0 5.667869-5 1.898438+0 5.927201-5350023501 186 1.915820+0 6.081961-5 1.922168+0 6.152103-5 1.975690+0 6.912053-5350023501 187 1.995300+0 7.151347-5 2.037430+0 7.685479-5 2.048000+0 7.800778-5350023501 188 2.101100+0 8.334615-5 2.135742+0 8.628594-5 2.162439+0 8.977184-5350023501 189 2.234470+0 1.037153-4 2.304297+0 1.148274-4 2.376307+0 1.222187-4350023501 190 2.402710+0 1.243149-4 2.432744+0 1.284626-4 2.511900+0 1.457984-4350023501 191 2.527146+0 1.493308-4 2.606120+0 1.614306-4 2.687561+0 1.668550-4350023501 192 2.703049+0 1.674203-4 2.736837+0 1.699563-4 2.771547+0 1.751018-4350023501 193 2.858158+0 1.849446-4 2.871989+0 1.859274-4 2.907889+0 1.891605-4350023501 194 2.947476+0 1.945925-4 3.039584+0 2.014611-4 3.089632+0 2.033790-4350023501 195 3.134571+0 2.075876-4 3.162300+0 2.079612-4 3.232527+0 2.089050-4350023501 196 3.282734+0 2.074026-4 3.333543+0 2.087660-4 3.437716+0 2.013427-4350023501 197 3.487905+0 1.953163-4 3.545145+0 1.917074-4 3.655931+0 1.724187-4350023501 198 3.705899+0 1.613186-4 3.770179+0 1.508122-4 3.884796+0 1.200661-4350023501 199 3.937518+0 1.044094-4 3.981100+0 9.396973-5 3.995832+0 9.075433-5350023501 200 4.096000+0 6.290369-5 4.103398+0 6.074515-5 4.131963+0 5.268648-5350023501 201 4.183613+0 4.065237-5 4.207603+0 3.636312-5 4.308551+0 2.199637-5350023501 202 4.390211+0 1.745407-5 4.406344+0 1.796660-5 4.445089+0 2.164921-5350023501 203 4.501082+0 3.359701-5 4.592859+0 7.620343-5 4.664599+0 1.390317-4350023501 204 4.681768+0 1.583397-4 4.722907+0 2.109554-4 4.767898+0 2.794961-4350023501 205 4.851337+0 4.551256-4 4.932169+0 7.136500-4 4.956136+0 8.107420-4350023501 206 5.011900+0 1.081103-3 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1.223954-5 2.398833+6 1.003878-5 2.754229+6 8.148881-6350023539 1855 3.126079+6 6.776980-6 3.630781+6 5.493428-6 4.315191+6 4.348326-6350023539 1856 5.069907+6 3.521573-6 6.095369+6 2.790152-6 7.413102+6 2.195647-6350023539 1857 9.120108+6 1.716635-6 1.161449+7 1.298899-6 1.462177+7 1.002804-6350023539 1858 1.905461+7 7.496506-7 2.570396+7 5.432123-7 3.715352+7 3.682915-7350023539 1859 5.888437+7 2.284189-7 1.109175+8 1.195750-7 2.213095+8 5.947487-8350023539 1860 4.415704+8 2.968441-8 1.757924+9 7.432480-9 1.00000+11 1.30540-10350023539 1861 350023 0 1862 3.500000+4 7.921760+1 0 0 0 0350023540 1863 1.847800+2 0.0 0 0 1 108350023540 1864 108 5 350023540 1865 1.847800+2 3.009210+5 1.865000+2 3.088175+5 2.020000+2 3.752458+5350023540 1866 2.100000+2 4.086005+5 2.135000+2 4.193082+5 2.330000+2 4.506680+5350023540 1867 2.400000+2 4.597120+5 2.483133+2 4.673757+5 2.580000+2 4.723280+5350023540 1868 2.691535+2 4.740792+5 2.851018+2 4.722697+5 3.019952+2 4.671723+5350023540 1869 3.162278+2 4.607558+5 3.311311+2 4.518411+5 3.467369+2 4.403152+5350023540 1870 3.672823+2 4.228681+5 3.935501+2 3.992512+5 4.216965+2 3.743751+5350023540 1871 4.518559+2 3.486652+5 4.786301+2 3.265590+5 5.150000+2 2.981548+5350023540 1872 5.623413+2 2.651697+5 6.095369+2 2.365579+5 6.606934+2 2.094383+5350023540 1873 7.244360+2 1.807547+5 7.943282+2 1.549067+5 8.709636+2 1.317320+5350023540 1874 9.549926+2 1.112107+5 1.059254+3 9.123116+4 1.161449+3 7.594446+4350023540 1875 1.288250+3 6.135906+4 1.412538+3 5.042678+4 1.570000+3 3.998840+4350023540 1876 1.757924+3 3.094196+4 1.950000+3 2.428392+4 2.162719+3 1.894068+4350023540 1877 2.426610+3 1.426124+4 2.722701+3 1.065530+4 3.090295+3 7.667668+3350023540 1878 3.507519+3 5.471254+3 3.981072+3 3.872271+3 4.466836+3 2.809205+3350023540 1879 5.011872+3 2.025454+3 5.623413+3 1.451586+3 6.382635+3 9.994071+2350023540 1880 7.244360+3 6.833139+2 8.222426+3 4.639483+2 9.440609+3 3.017609+2350023540 1881 1.083927+4 1.947614+2 1.244515+4 1.247685+2 1.445440+4 7.640866+1350023540 1882 1.678804+4 4.643131+1 1.949845+4 2.801048+1 2.290868+4 1.613067+1350023540 1883 2.722701+4 8.858806+0 3.235937+4 4.828326+0 3.935501+4 2.407418+0350023540 1884 4.897788+4 1.096560+0 6.309573+4 4.374839-1 1.083927+5 6.089123-2350023540 1885 1.333521+5 2.878244-2 1.584893+5 1.552226-2 1.840772+5 9.153868-3350023540 1886 2.113489+5 5.665661-3 2.371374+5 3.824403-3 2.660725+5 2.600500-3350023540 1887 2.951209+5 1.850895-3 3.273407+5 1.327465-3 3.589219+5 9.946110-4350023540 1888 3.935501+5 7.503148-4 4.315191+5 5.702203-4 4.731513+5 4.366372-4350023540 1889 5.188000+5 3.369587-4 5.623413+5 2.703760-4 6.095369+5 2.183659-4350023540 1890 6.606935+5 1.776115-4 7.161434+5 1.454000-4 7.852356+5 1.165601-4350023540 1891 8.609938+5 9.396110-5 9.225714+5 8.042063-5 9.885531+5 6.929319-5350023540 1892 1.083927+6 5.736415-5 1.174898+6 4.891559-5 1.288250+6 4.110393-5350023540 1893 1.428894+6 3.404129-5 1.640590+6 2.669521-5 1.840772+6 2.195163-5350023540 1894 2.065380+6 1.818443-5 2.344229+6 1.489427-5 2.691535+6 1.207473-5350023540 1895 3.090295+6 9.865936-6 3.589219+6 7.992708-6 4.216965+6 6.421209-6350023540 1896 5.000000+6 5.134100-6 6.000000+6 4.074800-6 7.328245+6 3.188339-6350023540 1897 9.015711+6 2.491702-6 1.148154+7 1.884651-6 1.445440+7 1.454598-6350023540 1898 1.883649+7 1.087009-6 2.540973+7 7.875340-7 3.630781+7 5.402641-7350023540 1899 5.754399+7 3.349621-7 1.071519+8 1.773613-7 2.137962+8 8.818965-8350023540 1900 4.265795+8 4.401087-8 1.698244+9 1.101795-8 1.00000+11 1.86940-10350023540 1901 350023 0 1902 3.500000+4 7.921760+1 0 0 0 0350023541 1903 7.959000+1 0.0 0 0 1 143350023541 1904 143 5 350023541 1905 7.959000+1 2.773568+5 8.128305+1 2.810065+5 8.230000+1 2.844708+5350023541 1906 8.330000+1 2.894592+5 8.413951+1 2.950380+5 8.511380+1 3.033997+5350023541 1907 8.610000+1 3.142924+5 8.709636+1 3.280742+5 8.810489+1 3.451073+5350023541 1908 8.912509+1 3.657138+5 9.015711+1 3.902575+5 9.120108+1 4.190506+5350023541 1909 9.240200+1 4.572619+5 9.400000+1 5.166840+5 9.900000+1 7.603120+5350023541 1910 1.005000+2 8.465400+5 1.020000+2 9.361520+5 1.035142+2 1.028312+6350023541 1911 1.052000+2 1.130828+6 1.065000+2 1.208588+6 1.080000+2 1.295736+6350023541 1912 1.096478+2 1.387321+6 1.110000+2 1.458536+6 1.128000+2 1.547548+6350023541 1913 1.150000+2 1.646972+6 1.170000+2 1.728816+6 1.190000+2 1.803208+6350023541 1914 1.218400+2 1.897518+6 1.250000+2 1.989388+6 1.288250+2 2.085887+6350023541 1915 1.333521+2 2.183627+6 1.380384+2 2.268898+6 1.430000+2 2.342652+6350023541 1916 1.480000+2 2.399892+6 1.531087+2 2.440460+6 1.580000+2 2.462116+6350023541 1917 1.635000+2 2.467824+6 1.690000+2 2.456740+6 1.747700+2 2.429836+6350023541 1918 1.820000+2 2.378968+6 1.900000+2 2.307980+6 2.000000+2 2.208604+6350023541 1919 2.120000+2 2.084092+6 2.238721+2 1.958896+6 2.350000+2 1.841092+6350023541 1920 2.483133+2 1.702500+6 2.620000+2 1.564860+6 2.754229+2 1.437388+6350023541 1921 2.917427+2 1.295101+6 3.126079+2 1.134928+6 3.350000+2 9.881280+5350023541 1922 3.600000+2 8.493840+5 3.850000+2 7.322440+5 4.168694+2 6.095121+5350023541 1923 4.570882+2 4.889960+5 5.011872+2 3.893867+5 5.432503+2 3.166974+5350023541 1924 6.000000+2 2.434148+5 6.606934+2 1.872143+5 7.244360+2 1.446677+5350023541 1925 8.128305+2 1.037883+5 9.015711+2 7.638597+4 9.885531+2 5.779256+4350023541 1926 1.096478+3 4.196711+4 1.230269+3 2.918036+4 1.396368+3 1.938624+4350023541 1927 1.570000+3 1.316780+4 1.757924+3 9.001944+3 1.972423+3 6.066074+3350023541 1928 2.187762+3 4.226577+3 2.426610+3 2.928356+3 2.754229+3 1.856370+3350023541 1929 3.126079+3 1.167913+3 3.548134+3 7.292219+2 4.027170+3 4.520750+2350023541 1930 4.570882+3 2.783770+2 5.248075+3 1.627687+2 6.000000+3 9.602400+1350023541 1931 6.839116+3 5.689920+1 7.852356+3 3.249987+1 9.015711+3 1.842319+1350023541 1932 1.035142+4 1.036735+1 1.202264+4 5.520558+0 1.428894+4 2.646491+0350023541 1933 1.737801+4 1.140681+0 2.162719+4 4.414958-1 2.691535+4 1.695383-1350023541 1934 3.311311+4 6.802480-2 6.095369+4 4.569069-3 7.673615+4 1.658361-3350023541 1935 9.225714+4 7.424140-4 1.083927+5 3.701290-4 1.258925+5 1.953676-4350023541 1936 1.445440+5 1.091145-4 1.640590+5 6.441636-5 1.862087+5 3.831599-5350023541 1937 2.089296+5 2.406771-5 2.344229+5 1.523305-5 2.600160+5 1.016411-5350023541 1938 2.884032+5 6.831062-6 3.198895+5 4.624878-6 3.548134+5 3.155144-6350023541 1939 3.890451+5 2.261278-6 4.265795+5 1.630634-6 4.623810+5 1.232505-6350023541 1940 5.011872+5 9.380478-7 5.432503+5 7.204667-7 5.956621+5 5.368477-7350023541 1941 6.683439+5 3.733803-7 7.328245+5 2.812689-7 8.511380+5 1.796545-7350023541 1942 8.912509+5 1.572659-7 9.332543+5 1.384893-7 9.772372+5 1.228388-7350023541 1943 1.011579+6 1.129011-7 1.059254+6 1.015913-7 1.109175+6 9.203859-8350023541 1944 1.161449+6 8.389515-8 1.230269+6 7.529510-8 1.333521+6 6.529819-8350023541 1945 1.479108+6 5.484062-8 1.819701+6 3.842935-8 2.018366+6 3.237485-8350023541 1946 2.290868+6 2.648323-8 2.600160+6 2.181583-8 2.985383+6 1.779040-8350023541 1947 3.427678+6 1.461880-8 4.027170+6 1.171934-8 4.731513+6 9.462297-9350023541 1948 5.623413+6 7.582735-9 6.839116+6 5.948443-9 8.413951+6 4.637214-9350023541 1949 1.059254+7 3.545740-9 1.348963+7 2.695173-9 1.800000+7 1.959300-9350023541 1950 2.426610+7 1.419351-9 3.349654+7 1.008594-9 5.308844+7 6.24464-10350023541 1951 9.660509+7 3.38116-10 1.927525+8 1.67967-10 3.845918+8 8.37917-11350023541 1952 1.531087+9 2.09697-11 1.00000+11 3.20710-13 350023541 1953 350023 0 1954 3.500000+4 7.921760+1 0 0 0 0350023542 1955 7.845000+1 0.0 0 0 1 147350023542 1956 147 5 350023542 1957 7.845000+1 4.238376+5 8.000000+1 4.273170+5 8.128305+1 4.330770+5350023542 1958 8.230000+1 4.405224+5 8.330000+1 4.510020+5 8.420000+1 4.634784+5350023542 1959 8.511380+1 4.794759+5 8.610000+1 5.008998+5 8.709636+1 5.272926+5350023542 1960 8.810489+1 5.592283+5 8.912509+1 5.971842+5 9.040000+1 6.529800+5350023542 1961 9.150000+1 7.088040+5 9.300000+1 7.964400+5 9.772372+1 1.151205+6350023542 1962 9.950000+1 1.308150+6 1.011579+2 1.460867+6 1.025000+2 1.586406+6350023542 1963 1.040000+2 1.726320+6 1.055000+2 1.863672+6 1.071519+2 2.009736+6350023542 1964 1.085000+2 2.123646+6 1.100000+2 2.243964+6 1.115000+2 2.356980+6350023542 1965 1.135011+2 2.496258+6 1.150000+2 2.592168+6 1.170000+2 2.709690+6350023542 1966 1.198000+2 2.856162+6 1.220000+2 2.958516+6 1.250000+2 3.083148+6350023542 1967 1.288250+2 3.221582+6 1.333521+2 3.361312+6 1.380384+2 3.482157+6350023542 1968 1.430000+2 3.585192+6 1.480000+2 3.662718+6 1.531087+2 3.714391+6350023542 1969 1.584893+2 3.739530+6 1.640590+2 3.736327+6 1.698244+2 3.706342+6350023542 1970 1.760000+2 3.650442+6 1.820000+2 3.579006+6 1.905461+2 3.458757+6350023542 1971 2.000000+2 3.312174+6 2.113489+2 3.129137+6 2.238721+2 2.926143+6350023542 1972 2.350000+2 2.747316+6 2.454709+2 2.581231+6 2.580000+2 2.388210+6350023542 1973 2.730000+2 2.169774+6 2.917427+2 1.922226+6 3.150000+2 1.657830+6350023542 1974 3.388442+2 1.429378+6 3.630781+2 1.233427+6 3.890451+2 1.056968+6350023542 1975 4.216965+2 8.756802+5 4.623810+2 7.012597+5 5.011872+2 5.736579+5350023542 1976 5.432503+2 4.661923+5 5.956621+2 3.649348+5 6.606934+2 2.750456+5350023542 1977 7.244360+2 2.122560+5 7.943282+2 1.626945+5 8.810489+2 1.198419+5350023542 1978 9.885531+2 8.454160+4 1.122018+3 5.703986+4 1.258925+3 3.953665+4350023542 1979 1.412538+3 2.719744+4 1.584893+3 1.856162+4 1.778279+3 1.257627+4350023542 1980 2.018366+3 8.124092+3 2.264644+3 5.418993+3 2.540973+3 3.590654+3350023542 1981 2.851018+3 2.362899+3 3.235937+3 1.480441+3 3.672823+3 9.208249+2350023542 1982 4.168694+3 5.686552+2 4.731513+3 3.487204+2 5.370318+3 2.123530+2350023542 1983 6.095369+3 1.284260+2 6.918310+3 7.714917+1 7.852356+3 4.602895+1350023542 1984 9.015711+3 2.599992+1 1.035142+4 1.457729+1 1.202264+4 7.728512+0350023542 1985 1.412538+4 3.872250+0 1.698244+4 1.744048+0 2.065380+4 7.414489-1350023542 1986 2.540973+4 2.975368-1 3.162278+4 1.126379-1 3.935501+4 4.227904-2350023542 1987 6.165950+4 5.627182-3 7.673615+4 2.120806-3 9.225714+4 9.391928-4350023542 1988 1.096478+5 4.409938-4 1.258925+5 2.425728-4 1.428894+5 1.412603-4350023542 1989 1.603245+5 8.701360-5 1.798871+5 5.400367-5 2.000000+5 3.506728-5350023542 1990 2.213095+5 2.337845-5 2.426610+5 1.627579-5 2.660725+5 1.140999-5350023542 1991 2.917427+5 8.058543-6 3.162278+5 5.986566-6 3.427678+5 4.479255-6350023542 1992 3.715352+5 3.376237-6 4.000000+5 2.623500-6 4.315191+5 2.042032-6350023542 1993 4.731513+5 1.517981-6 5.370318+5 1.018420-6 5.754399+5 8.237749-7350023542 1994 6.025596+5 7.179393-7 6.382635+5 6.099963-7 6.839117+5 5.050931-7350023542 1995 7.413102+5 4.083212-7 8.035261+5 3.317750-7 8.609938+5 2.761936-7350023542 1996 9.120108+5 2.383687-7 9.660509+5 2.071627-7 1.011579+6 1.863371-7350023542 1997 1.071519+6 1.644476-7 1.135011+6 1.461306-7 1.202264+6 1.306734-7350023542 1998 1.303167+6 1.126962-7 1.428894+6 9.591010-8 1.798871+6 6.453409-8350023542 1999 2.000000+6 5.413900-8 2.264644+6 4.442945-8 2.570396+6 3.657637-8350023542 2000 2.951209+6 2.980766-8 3.388442+6 2.447897-8 3.935501+6 1.992091-8350023542 2001 4.623810+6 1.606863-8 5.495409+6 1.286327-8 6.606934+6 1.022461-8350023542 2002 8.128305+6 7.960547-9 1.011579+7 6.160922-9 1.303167+7 4.615888-9350023542 2003 1.757924+7 3.312913-9 2.400000+7 2.366500-9 3.311311+7 1.682116-9350023542 2004 5.248075+7 1.041255-9 9.549926+7 5.63692-10 1.905461+8 2.79996-10350023542 2005 3.801894+8 1.39670-10 1.513561+9 3.49525-11 1.00000+11 5.28450-13350023542 2006 350023 0 2007 3.500000+4 7.921760+1 0 0 0 0350023543 2008 2.418000+1 0.0 0 0 1 159350023543 2009 159 5 350023543 2010 2.418000+1 2.556540+4 2.430000+1 2.345520+4 2.454709+1 1.949226+4350023543 2011 2.470000+1 1.734122+4 2.497000+1 1.404112+4 2.540973+1 9.939896+3350023543 2012 2.560000+1 8.610460+3 2.575000+1 7.736500+3 2.586200+1 7.180330+3350023543 2013 2.595000+1 6.798860+3 2.605000+1 6.422600+3 2.615000+1 6.104940+3350023543 2014 2.625000+1 5.844500+3 2.635000+1 5.638980+3 2.642000+1 5.526880+3350023543 2015 2.650000+1 5.430040+3 2.657000+1 5.371920+3 2.665000+1 5.335260+3350023543 2016 2.673000+1 5.329480+3 2.681000+1 5.353780+3 2.689000+1 5.407380+3350023543 2017 2.696000+1 5.477680+3 2.705000+1 5.599340+3 2.715000+1 5.774500+3350023543 2018 2.725000+1 5.990360+3 2.735000+1 6.245520+3 2.750000+1 6.699180+3350023543 2019 2.765000+1 7.233300+3 2.787000+1 8.154280+3 2.851018+1 1.165530+4350023543 2020 2.880000+1 1.358774+4 2.910000+1 1.578178+4 2.937000+1 1.790602+4350023543 2021 2.960000+1 1.981536+4 2.990000+1 2.243020+4 3.020000+1 2.516720+4350023543 2022 3.050000+1 2.801100+4 3.080000+1 3.094560+4 3.110000+1 3.395740+4350023543 2023 3.135000+1 3.651840+4 3.170000+1 4.016420+4 3.210000+1 4.440200+4350023543 2024 3.245000+1 4.815280+4 3.280000+1 5.193040+4 3.330000+1 5.735080+4350023543 2025 3.370000+1 6.168820+4 3.420000+1 6.708720+4 3.470000+1 7.244100+4350023543 2026 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