40-Zr Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 4.000000+4 9.043640+1 -1 0 0 34000 1451 1 0.0 0.0 0 0 0 64000 1451 2 0.0 0.0 0 0 3 64000 1451 3 0.0 0.0 0 0 147 274000 1451 4 40-ZR LLNL Eval-Jul97 D.E.Cullen, et al. 4000 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 4000 1451 6 ---- ENDF/B-VI MATERIAL 4000 4000 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 4000 1451 8 ------ ENDF/B-6 4000 1451 9 =================================================================4000 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 4000 1451 11 ENDF/B-VI format 4000 1451 12 =================================================================4000 1451 13 Contents 4000 1451 14 =================================================================4000 1451 15 MF/MT Description 4000 1451 16 =================================================================4000 1451 17 23/501 Total cross sections 4000 1451 18 23/502 Coherent scattering cross sections 4000 1451 19 23/504 Incoherent scattering cross sections 4000 1451 20 23/515 Pair production cross sections, Electron field 4000 1451 21 23/516 Pair production cross sections, Total 4000 1451 22 23/517 Pair production cross sections, Nuclear field 4000 1451 23 23/522 Total photoionization cross section 4000 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 4000 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 4000 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 4000 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 4000 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 4000 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 4000 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 4000 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 4000 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 4000 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 4000 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 4000 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 4000 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 4000 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 4000 1451 38 23/550 O1 (5S1/2) Photoionization subshell cross section 4000 1451 39 =================================================================4000 1451 40 27/502 Coherent scattering form factors 4000 1451 41 27/504 Incoherent scattering functions 4000 1451 42 27/505 Imaginary anomalous scattering factor 4000 1451 43 27/506 Real anomalous scattering factor 4000 1451 44 =================================================================4000 1451 45 Warning 4000 1451 46 =================================================================4000 1451 47 MF/MT combinations used to define photoionization subshell cross4000 1451 48 sections (MF=23, MT=534-572) and coherent anomalous scattering 4000 1451 49 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 4000 1451 50 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 4000 1451 51 If you are not prepared to use this data you need merely delete 4000 1451 52 it and all of the remaining data will still be consistent and 4000 1451 53 equivalent to the types of data in earlier versions of ENDF/B. 4000 1451 54 However, this will limit the range of problems to which this 4000 1451 55 data can be applied (see: ref. 1 for details). 4000 1451 56 =================================================================4000 1451 57 Definition of new types of data 4000 1451 58 =================================================================4000 1451 59 1) The total photoionization cross section is equal to the sum 4000 1451 60 of the photoionization subshell cross sections. 4000 1451 61 4000 1451 62 For each subshell on the second line of a section the C1 and 4000 1451 63 C2 fields are defined as, 4000 1451 64 4000 1451 65 EPE = The photoionization edge energy (similar to Q-value) 4000 1451 66 EFL = The fluorescence yield (eV/photoionization) 4000 1451 67 4000 1451 68 2) The angular distribution of coherently scattered photons is, 4000 1451 69 4000 1451 70 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4000 1451 71 4000 1451 72 S(E,MU) = Angular distributions (barns per unit cosine) 4000 1451 73 T = The Thomson cross section 4000 1451 74 MU = The cosine of the scattering angle 4000 1451 75 FF(M) = The atomic form factor 4000 1451 76 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 4000 1451 77 F1(E) = The real anomalous scattering factor 4000 1451 78 F2(E) = The imaginary anomalous scattering factor 4000 1451 79 4000 1451 80 F1(E) and F2(E) are isotropic. 4000 1451 81 4000 1451 82 When F1(E) = F2(E) = 0 this reduces to the result obtained 4000 1451 83 using only form factors (the older ENDF/B convention). 4000 1451 84 =================================================================4000 1451 85 Differences between EPDL97 and the data base presented here 4000 1451 86 =================================================================4000 1451 87 1) Energy range - EPDL97 - 1 eV to 100 GeV 4000 1451 88 Here - 1 eV TO 100 GeV (previously 100 MeV) 4000 1451 89 2) Type of Data - EPDL97 - Photon interaction including 4000 1451 90 photoexcitation 4000 1451 91 Here - Photon interaction - ENDF/B-VI has 4000 1451 92 no provision for photoexcitation 4000 1451 93 3) Secondary E - EPDL97 - Average energy of each secondary 4000 1451 94 (photons, electrons, positrons) 4000 1451 95 HERE - No secondary energy data 4000 1451 96 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 4000 1451 97 interpolable - the total cross 4000 1451 98 section is not included 4000 1451 99 - Form factors and scattering functions 4000 1451 100 are Log X vs. Log y, except first 4000 1451 101 interval. 4000 1451 102 - Anomalous scattering factors linearly 4000 1451 103 interpolable (they can be negative) 4000 1451 104 Here - Up through ENDF/B-V photon interaction4000 1451 105 cross sections were Log X vs. Log Y. 4000 1451 106 - For the first two Mods. of ENDF/B-VI 4000 1451 107 in order to consistently define the 4000 1451 108 total cross sections at ALL energies 4000 1451 109 all cross sections were linearized. 4000 1451 110 This was NOT a good idea. 4000 1451 111 - Starting with Mod. 3, cross sections 4000 1451 112 are left in Log X vs. Log. Y form so 4000 1451 113 that they are IDENTICAL to what's in 4000 1451 114 EPDL97. 4000 1451 115 The total is defined ONLY at the 4000 1451 116 energies tabulated in any other cross 4000 1451 117 section. 4000 1451 118 WARNING - As a result the total cross section 4000 1451 119 MUST NOT be interpolated to define the4000 1451 120 total between tabulated energies. The 4000 1451 121 ONLY consist way to define the total 4000 1451 122 between tabulated energies is to 4000 1451 123 interpolate all of the partials and 4000 1451 124 add them up. 4000 1451 125 =================================================================4000 1451 126 References 4000 1451 127 =================================================================4000 1451 128 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 4000 1451 129 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 4000 1451 130 graphs of photon interaction cross sections from 10 eV to 100 4000 1451 131 GeV derived from the LLNL Evaluated Photon data library (EPDL), 4000 1451 132 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 4000 1451 133 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 4000 1451 134 4000 1451 135 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 4000 1451 136 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 4000 1451 137 Rev. 5, Lawrence Livermore National Laboratory (1997) 4000 1451 138 4000 1451 139 These are the primary references to the contents of this library4000 1451 140 and they contain a complete list of references to the sources 4000 1451 141 of data used in this library, methods of evaluation, accuracy 4000 1451 142 of the data, etc. 4000 1451 143 =================================================================4000 1451 144 History 4000 1451 145 =================================================================4000 1451 146 Mod. 1 - October, 1989 - Initial release. 4000 1451 147 Mod. 2 - August, 1990 - Updated photoionization total and 4000 1451 148 subshell cross sections. 4000 1451 149 Mod. 3 - July, 1997 - Complete re-evaluation. 4000 1451 150 =================================================================4000 1451 151 1 451 178 34000 1451 152 23 501 757 34000 1451 153 23 502 309 34000 1451 154 23 504 40 34000 1451 155 23 515 33 34000 1451 156 23 516 51 34000 1451 157 23 517 39 34000 1451 158 23 522 388 34000 1451 159 23 534 22 34000 1451 160 23 535 26 34000 1451 161 23 536 27 34000 1451 162 23 537 27 34000 1451 163 23 538 29 34000 1451 164 23 539 35 34000 1451 165 23 540 36 34000 1451 166 23 541 53 34000 1451 167 23 542 53 34000 1451 168 23 543 35 34000 1451 169 23 544 46 34000 1451 170 23 545 46 34000 1451 171 23 546 71 34000 1451 172 23 547 71 34000 1451 173 23 550 60 34000 1451 174 27 502 54 34000 1451 175 27 504 56 34000 1451 176 27 505 149 34000 1451 177 27 506 139 34000 1451 178 4000 1 0 179 4000 0 0 180 4.000000+4 9.043640+1 0 0 0 0400023501 181 0.0 0.0 0 0 1 2262400023501 182 2262 5 400023501 183 1.000000+0 6.187744-2 1.162256+0 1.238692-1 1.198576+0 1.434766-1400023501 184 1.236032+0 1.665274-1 1.258900+0 1.822215-1 1.274658+0 1.937052-1400023501 185 1.314491+0 2.258510-1 1.355569+0 2.640048-1 1.397930+0 3.094592-1400023501 186 1.441380+0 3.634917-1 1.483472+0 4.241183-1 1.524249+0 4.918230-1400023501 187 1.563751+0 5.668786-1 1.584900+0 6.116304-1 1.602019+0 6.499488-1400023501 188 1.639092+0 7.417487-1 1.675005+0 8.429085-1 1.709797+0 9.540654-1400023501 189 1.743501+0 1.075884+0 1.776152+0 1.209059+0 1.807782+0 1.354310+0400023501 190 1.838424+0 1.512393+0 1.868109+0 1.684089+0 1.896866+0 1.870182+0400023501 191 1.924724+0 2.071332+0 1.951712+0 2.288241+0 1.977856+0 2.522044+0400023501 192 1.995300+0 2.693213+0 2.003183+0 2.773808+0 2.027719+0 3.044506+0400023501 193 2.051488+0 3.335078+0 2.074514+0 3.646517+0 2.118431+0 4.336685+0400023501 194 2.159645+0 5.124451+0 2.198324+0 6.019603+0 2.216761+0 6.510947+0400023501 195 2.234623+0 7.034690+0 2.251926+0 7.593407+0 2.285451+0 8.831789+0400023501 196 2.316881+0 1.021586+1 2.346347+0 1.176369+1 2.373971+0 1.348917+1400023501 197 2.400000+0 1.541610+1 2.424147+0 1.752654+1 2.446908+0 1.986776+1400023501 198 2.468247+0 2.244430+1 2.488252+0 2.527133+1 2.507007+0 2.836405+1400023501 199 2.511900+0 2.926743+1 2.524590+0 3.173767+1 2.541073+0 3.540726+1400023501 200 2.556527+0 3.938762+1 2.571014+0 4.369322+1 2.584596+0 4.833805+1400023501 201 2.597330+0 5.333551+1 2.609267+0 5.869833+1 2.620459+0 6.443847+1400023501 202 2.630950+0 7.056706+1 2.640787+0 7.709441+1 2.650008+0 8.403009+1400023501 203 2.658653+0 9.138308+1 2.666758+0 9.916182+1 2.674356+0 1.073741+2400023501 204 2.681479+0 1.160271+2 2.688157+0 1.251272+2 2.694418+0 1.346804+2400023501 205 2.700287+0 1.446935+2 2.705790+0 1.551752+2 2.710949+0 1.661367+2400023501 206 2.720621+0 1.904040+2 2.729085+0 2.169357+2 2.736490+0 2.458373+2400023501 207 2.742970+0 2.770697+2 2.748640+0 3.103775+2 2.753601+0 3.452878+2400023501 208 2.757942+0 3.811702+2 2.761740+0 4.173260+2 2.765064+0 4.530736+2400023501 209 2.767972+0 4.878118+2 2.773061+0 5.571131+2 2.789187+0 8.570088+2400023501 210 2.795192+0 9.998158+2 2.800339+0 1.132944+3 2.802055+0 1.178965+3400023501 211 2.808918+0 1.367198+3 2.809776+0 1.390819+3 2.815781+0 1.552879+3400023501 212 2.818140+0 1.613628+3 2.822644+0 1.722039+3 2.825004+0 1.773773+3400023501 213 2.827256+0 1.819273+3 2.829508+0 1.860565+3 2.832510+0 1.908482+3400023501 214 2.835406+0 1.946437+3 2.839802+0 1.987956+3 2.843234+0 2.006980+3400023501 215 2.847094+0 2.015409+3 2.851330+0 2.011381+3 2.865232+0 1.962863+3400023501 216 2.868925+0 1.962305+3 2.870686+0 1.967060+3 2.874118+0 1.988392+3400023501 217 2.875834+0 2.006053+3 2.878783+0 2.049013+3 2.881180+0 2.096910+3400023501 218 2.883731+0 2.161817+3 2.885478+0 2.215042+3 2.888906+0 2.341001+3400023501 219 2.892056+0 2.482436+3 2.895665+0 2.674471+3 2.899923+0 2.939905+3400023501 220 2.909749+0 3.680320+3 2.914595+0 4.083587+3 2.918596+0 4.418351+3400023501 221 2.922757+0 4.755313+3 2.926312+0 5.024781+3 2.930070+0 5.282295+3400023501 222 2.933547+0 5.488469+3 2.936947+0 5.654743+3 2.940316+0 5.780751+3400023501 223 2.941240+0 5.808162+3 2.948145+0 5.909786+3 2.950077+0 5.905057+3400023501 224 2.955431+0 5.817354+3 2.958794+0 5.708828+3 2.962054+0 5.567620+3400023501 225 2.965642+0 5.375486+3 2.969119+0 5.157530+3 2.972209+0 4.942007+3400023501 226 2.975190+0 4.718657+3 2.979716+0 4.358535+3 2.983248+0 4.066848+3400023501 227 2.987222+0 3.735009+3 2.990313+0 3.478534+3 2.997377+0 2.913594+3400023501 228 2.999806+0 2.729922+3 3.004442+0 2.398615+3 3.009740+0 2.054949+3400023501 229 3.016399+0 1.679871+3 3.028690+0 1.150169+3 3.032555+0 1.022925+3400023501 230 3.036299+0 9.151640+2 3.039926+0 8.238879+2 3.043440+0 7.464692+2400023501 231 3.046844+0 6.806455+2 3.050141+0 6.244951+2 3.056531+0 5.337633+2400023501 232 3.062520+0 4.662171+2 3.068136+0 4.147950+2 3.073400+0 3.747456+2400023501 233 3.078336+0 3.428689+2 3.082963+0 3.169910+2 3.091639+0 2.765584+2400023501 234 3.099230+0 2.477248+2 3.105872+0 2.262462+2 3.111684+0 2.097292+2400023501 235 3.121855+0 1.848630+2 3.129484+0 1.688990+2 3.140926+0 1.482761+2400023501 236 3.160128+0 1.202327+2 3.162300+0 1.174448+2 3.175646+0 1.017141+2400023501 237 3.183405+0 9.341632+1 3.191164+0 8.559797+1 3.198923+0 7.816748+1400023501 238 3.206683+0 7.106666+1 3.214442+0 6.428384+1 3.226080+0 5.483276+1400023501 239 3.235665+0 4.800489+1 3.240571+0 4.499063+1 3.245478+0 4.239522+1400023501 240 3.247831+0 4.132138+1 3.250184+0 4.036957+1 3.258145+0 3.815811+1400023501 241 3.259140+0 3.800029+1 3.266106+0 3.769549+1 3.268842+0 3.797083+1400023501 242 3.274066+0 3.912314+1 3.276459+0 3.992088+1 3.279878+0 4.134327+1400023501 243 3.282076+0 4.242449+1 3.285983+0 4.464291+1 3.292059+0 4.873695+1400023501 244 3.302426+0 5.688369+1 3.305909+0 5.974342+1 3.313870+0 6.607493+1400023501 245 3.322001+0 7.175413+1 3.324804+0 7.344044+1 3.330157+0 7.620594+1400023501 246 3.333981+0 7.780030+1 3.337103+0 7.886735+1 3.339445+0 7.953363+1400023501 247 3.344714+0 8.064358+1 3.352588+0 8.146328+1 3.364823+0 8.153263+1400023501 248 3.383239+0 8.124595+1 3.406176+0 8.151353+1 3.414534+0 8.115575+1400023501 249 3.418191+0 8.082704+1 3.426419+0 7.963787+1 3.433340+0 7.814483+1400023501 250 3.437519+0 7.704132+1 3.444350+0 7.496309+1 3.452506+0 7.215770+1400023501 251 3.465807+0 6.727874+1 3.487668+0 5.981040+1 3.504384+0 5.501811+1400023501 252 3.569295+0 4.043366+1 3.581903+0 3.823479+1 3.594116+0 3.633768+1400023501 253 3.617780+0 3.323497+1 3.639965+0 3.085353+1 3.660763+0 2.895092+1400023501 254 3.680261+0 2.738461+1 3.716821+0 2.486590+1 3.748810+0 2.300013+1400023501 255 3.776801+0 2.157231+1 3.825785+0 1.942015+1 3.862523+0 1.803466+1400023501 256 3.917629+0 1.624252+1 3.981100+0 1.449829+1 4.002071+0 1.396975+1400023501 257 4.168304+0 1.059599+1 4.336776+0 7.820273+0 4.368799+0 7.292474+0400023501 258 4.390148+0 6.932013+0 4.411497+0 6.559086+0 4.432846+0 6.167726+0400023501 259 4.443520+0 5.962818+0 4.454194+0 5.750199+0 4.464869+0 5.528409+0400023501 260 4.475543+0 5.295709+0 4.486218+0 5.050084+0 4.498241+0 4.755232+0400023501 261 4.507567+0 4.511599+0 4.520385+0 4.154173+0 4.531457+0 3.826448+0400023501 262 4.542529+0 3.488505+0 4.558295+0 3.022856+0 4.565336+0 2.840245+0400023501 263 4.570617+0 2.722995+0 4.572377+0 2.688796+0 4.583206+0 2.550557+0400023501 264 4.586816+0 2.539178+0 4.590469+0 2.549693+0 4.593264+0 2.574463+0400023501 265 4.595156+0 2.600183+0 4.596567+0 2.624344+0 4.599035+0 2.677430+0400023501 266 4.606439+0 2.927411+0 4.609178+0 3.057764+0 4.613286+0 3.295365+0400023501 267 4.616881+0 3.547125+0 4.618097+0 3.642035+0 4.629012+0 4.725093+0400023501 268 4.645265+0 7.145732+0 4.650891+0 8.201863+0 4.656230+0 9.295944+0400023501 269 4.661515+0 1.045550+1 4.666676+0 1.164790+1 4.671638+0 1.283543+1400023501 270 4.676083+0 1.392072+1 4.682084+0 1.539550+1 4.687155+0 1.662919+1400023501 271 4.692994+0 1.800850+1 4.697535+0 1.903288+1 4.708607+0 2.126702+1400023501 272 4.710596+0 2.161935+1 4.720531+0 2.310849+1 4.724926+0 2.361085+1400023501 273 4.729122+0 2.399510+1 4.733318+0 2.428442+1 4.738610+0 2.451353+1400023501 274 4.742931+0 2.458985+1 4.746172+0 2.458353+1 4.751034+0 2.447617+1400023501 275 4.755896+0 2.425816+1 4.762271+0 2.382015+1 4.764396+0 2.363944+1400023501 276 4.772858+0 2.277302+1 4.775678+0 2.243949+1 4.786355+0 2.103025+1400023501 277 4.799498+0 1.911581+1 4.812342+0 1.722916+1 4.839077+0 1.377175+1400023501 278 4.851244+0 1.250873+1 4.861891+0 1.156527+1 4.880522+0 1.022574+1400023501 279 4.894496+0 9.422940+0 4.936416+0 7.601933+0 4.958161+0 6.852706+0400023501 280 4.974978+0 6.357312+0 4.982569+0 6.164828+0 4.994773+0 5.906386+0400023501 281 5.006977+0 5.721880+0 5.011900+0 5.673558+0 5.013981+0 5.653268+0400023501 282 5.020985+0 5.613121+0 5.027761+0 5.601352+0 5.032843+0 5.609458+0400023501 283 5.040466+0 5.646977+0 5.048089+0 5.711381+0 5.057920+0 5.825374+0400023501 284 5.085002+0 6.201319+0 5.094371+0 6.307820+0 5.100446+0 6.360480+0400023501 285 5.110024+0 6.411035+0 5.116153+0 6.420466+0 5.125347+0 6.400160+0400023501 286 5.134541+0 6.340708+0 5.142973+0 6.256617+0 5.153423+0 6.123279+0400023501 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1.346049+3400023535 1835 1.819701+4 9.386744+2 2.137962+4 6.312746+2 2.500000+4 4.260760+2400023535 1836 2.917427+4 2.868924+2 3.427678+4 1.884360+2 4.073803+4 1.191239+2400023535 1837 4.841724+4 7.470221+1 5.821032+4 4.504422+1 7.079458+4 2.609434+1400023535 1838 8.709636+4 1.452036+1 1.109175+5 7.265792+0 2.041738+5 1.247250+0400023535 1839 2.483133+5 7.117987-1 2.917427+5 4.515737-1 3.349654+5 3.078013-1400023535 1840 3.801894+5 2.180695-1 4.265795+5 1.604666-1 4.786301+5 1.189293-1400023535 1841 5.308844+5 9.145519-2 5.888437+5 7.082932-2 6.531306+5 5.527129-2400023535 1842 7.161434+5 4.467734-2 7.943282+5 3.543163-2 8.912509+5 2.761201-2400023535 1843 9.660509+5 2.329621-2 1.071519+6 1.889766-2 1.188600+6 1.541008-2400023535 1844 1.318257+6 1.266302-2 1.462177+6 1.047471-2 1.640590+6 8.545470-3400023535 1845 1.840772+6 7.022135-3 2.089296+6 5.703182-3 2.371374+6 4.667613-3400023535 1846 2.691535+6 3.847179-3 3.090295+6 3.138908-3 3.589219+6 2.538010-3400023535 1847 4.216965+6 2.035363-3 5.000000+6 1.625000-3 6.025596+6 1.280618-3400023535 1848 7.244360+6 1.019234-3 8.810489+6 8.061255-4 1.109175+7 6.163739-4400023535 1849 1.412538+7 4.685380-4 1.862087+7 3.451551-4 2.570396+7 2.436864-4400023535 1850 3.672823+7 1.670225-4 5.559043+7 1.085309-4 9.772372+7 6.086035-5400023535 1851 1.949845+8 3.021510-5 3.890451+8 1.506772-5 3.090295+9 1.889378-6400023535 1852 1.00000+11 5.835900-8 400023535 1853 400023 0 1854 4.000000+4 9.043640+1 0 0 0 0400023536 1855 2.312200+3 0.0 0 0 1 72400023536 1856 72 5 400023536 1857 2.312200+3 1.230785+5 2.403000+3 1.119000+5 2.440000+3 1.084500+5400023536 1858 2.600160+3 9.289200+4 2.770000+3 7.893900+4 3.300000+3 4.950600+4400023536 1859 3.715352+3 3.593400+4 4.027170+3 2.877000+4 4.677351+3 1.890200+4400023536 1860 5.370318+3 1.268100+4 6.025596+3 9.057100+3 7.244360+3 5.222800+3400023536 1861 8.317638+3 3.427800+3 9.500000+3 2.273500+3 1.122018+4 1.348200+3400023536 1862 1.333521+4 7.767600+2 1.584893+4 4.436600+2 1.905461+4 2.419800+2400023536 1863 2.264644+4 1.360400+2 2.722701+4 7.307700+1 3.349654+4 3.603300+1400023536 1864 4.216965+4 1.628900+1 5.623413+4 5.985000+0 9.885531+4 8.339300-1400023536 1865 1.244515+5 3.753600-1 1.500000+5 1.978200-1 1.757924+5 1.155400-1400023536 1866 2.299100+5 4.697300-2 2.511886+5 3.513400-2 2.691535+5 2.818100-2400023536 1867 2.884032+5 2.275800-2 3.000060+5 2.019840-2 3.349654+5 1.433249-2400023536 1868 3.758374+5 1.009141-2 4.168694+5 7.410400-3 4.623810+5 5.479642-3400023536 1869 5.128614+5 4.082043-3 5.623413+5 3.163143-3 6.165950+5 2.468201-3400023536 1870 6.760830+5 1.940405-3 7.413102+5 1.535640-3 8.609938+5 1.060160-3400023536 1871 9.225714+5 8.992520-4 9.772372+5 7.888171-4 1.035142+6 6.965006-4400023536 1872 1.109175+6 6.037474-4 1.188600+6 5.269874-4 1.318257+6 4.350967-4400023536 1873 1.479108+6 3.543190-4 1.717908+6 2.728808-4 1.927525+6 2.247438-4400023536 1874 2.162719+6 1.864649-4 2.454709+6 1.529222-4 2.818383+6 1.241281-4400023536 1875 3.235937+6 1.015176-4 3.758374+6 8.227629-5 4.415704+6 6.612597-5400023536 1876 5.188000+6 5.353419-5 6.309573+6 4.176931-5 7.585776+6 3.330502-5400023536 1877 9.440609+6 2.568087-5 1.202264+7 1.942225-5 1.566751+7 1.442414-5400023536 1878 2.089296+7 1.052357-5 2.851018+7 7.539259-6 4.315191+7 4.876431-6400023536 1879 6.998420+7 2.959150-6 1.258925+8 1.625657-6 2.511886+8 8.087084-7400023536 1880 5.011872+8 4.037278-7 7.943282+9 2.539088-8 1.00000+11 2.016600-9400023536 1881 400023 0 1882 4.000000+4 9.043640+1 0 0 0 0400023537 1883 2.224800+3 0.0 0 0 1 70400023537 1884 70 5 400023537 1885 2.224800+3 2.582588+5 2.454709+3 2.032426+5 2.570396+3 1.807796+5400023537 1886 2.786121+3 1.458014+5 3.400000+3 8.484400+4 3.801894+3 6.227592+4400023537 1887 4.518559+3 3.810038+4 5.128614+3 2.630167+4 5.821032+3 1.807919+4400023537 1888 6.918310+3 1.071733+4 7.852356+3 7.254599+3 9.015711+3 4.710186+3400023537 1889 1.059254+4 2.821744+3 1.244515+4 1.676060+3 1.462177+4 9.874715+2400023537 1890 1.737801+4 5.554285+2 2.065380+4 3.098293+2 2.426610+4 1.784432+2400023537 1891 2.884032+4 9.812812+1 3.467369+4 5.148135+1 4.216965+4 2.575722+1400023537 1892 5.370318+4 1.085921+1 1.109175+5 7.956878-1 1.348963+5 3.952722-1400023537 1893 1.640590+5 1.979115-1 1.883649+5 1.222555-1 2.137962+5 7.913470-2400023537 1894 2.426610+5 5.160061-2 2.722701+5 3.524367-2 3.019952+5 2.518196-2400023537 1895 3.349654+5 1.812542-2 3.672823+5 1.362255-2 4.027170+5 1.030829-2400023537 1896 4.415705+5 7.858699-3 4.841724+5 6.035976-3 5.248075+5 4.822460-3400023537 1897 5.754399+5 3.759149-3 6.309573+5 2.953264-3 6.918310+5 2.337761-3400023537 1898 7.498942+5 1.917779-3 8.128305+5 1.583169-3 8.912509+5 1.280364-3400023537 1899 9.549926+5 1.098871-3 1.023293+6 9.501386-4 1.122018+6 7.884960-4400023537 1900 1.216186+6 6.741361-4 1.348963+6 5.557986-4 1.513561+6 4.520623-4400023537 1901 1.717908+6 3.624762-4 1.927525+6 2.986150-4 2.187762+6 2.432062-4400023537 1902 2.483133+6 1.995713-4 2.851018+6 1.621122-4 3.273407+6 1.326673-4400023537 1903 3.801894+6 1.075827-4 4.466836+6 8.651109-5 5.248075+6 7.007300-5400023537 1904 6.382635+6 5.469849-5 7.673615+6 4.363434-5 9.549926+6 3.365992-5400023537 1905 1.216186+7 2.546662-5 1.584893+7 1.891994-5 2.113489+7 1.380727-5400023537 1906 2.917427+7 9.774026-6 4.466836+7 6.249273-6 7.762471+7 3.534588-6400023537 1907 1.531087+8 1.771230-6 3.054921+8 8.821405-7 1.216186+9 2.206103-7400023537 1908 1.00000+11 2.679100-9 400023537 1909 400023 0 1910 4.000000+4 9.043640+1 0 0 0 0400023538 1911 4.220600+2 0.0 0 0 1 77400023538 1912 77 5 400023538 1913 4.220600+2 1.595758+5 4.750000+2 1.410682+5 5.370318+2 1.236272+5400023538 1914 6.025596+2 1.086154+5 7.300000+2 8.498120+4 7.852356+2 7.692954+4400023538 1915 9.225714+2 6.097892+4 1.023293+3 5.219831+4 1.202264+3 4.053906+4400023538 1916 1.350000+3 3.358540+4 1.584893+3 2.567517+4 1.862087+3 1.941707+4400023538 1917 2.162719+3 1.486556+4 2.500000+3 1.140320+4 2.917427+3 8.536416+3400023538 1918 3.427678+3 6.262317+3 4.027170+3 4.558709+3 4.731513+3 3.292832+3400023538 1919 5.500000+3 2.413340+3 6.382635+3 1.763221+3 7.500000+3 1.245644+3400023538 1920 8.810489+3 8.738169+2 1.035142+4 6.081817+2 1.216186+4 4.200430+2400023538 1921 1.428894+4 2.878214+2 1.678804+4 1.956696+2 1.972423+4 1.319814+2400023538 1922 2.317395+4 8.832060+1 2.722701+4 5.865426+1 3.198895+4 3.866677+1400023538 1923 3.758374+4 2.530937+1 4.466836+4 1.594931+1 5.308844+4 9.975796+0400023538 1924 6.382635+4 6.001153+0 7.762471+4 3.470141+0 9.660509+4 1.865823+0400023538 1925 1.273503+5 8.443236-1 2.041738+5 2.165863-1 2.483133+5 1.237720-1400023538 1926 2.917427+5 7.858943-2 3.388442+5 5.191638-2 3.845918+5 3.681305-2400023538 1927 4.315191+5 2.711522-2 4.841724+5 2.011916-2 5.370318+5 1.548891-2400023538 1928 5.956621+5 1.200926-2 6.606935+5 9.382788-3 7.328245+5 7.387738-3400023538 1929 8.128305+5 5.862208-3 8.912509+5 4.803128-3 9.772372+5 3.964834-3400023538 1930 1.122018+6 3.008472-3 1.244515+6 2.461619-3 1.380384+6 2.028095-3400023538 1931 1.531087+6 1.681802-3 1.717908+6 1.376188-3 1.949845+6 1.112718-3400023538 1932 2.213095+6 9.067226-4 2.511886+6 7.445101-4 2.884032+6 6.052356-4400023538 1933 3.349654+6 4.875883-4 3.890451+6 3.958496-4 4.570882+6 3.186552-4400023538 1934 5.432503+6 2.545821-4 6.683439+6 1.961749-4 8.035261+6 1.567827-4400023538 1935 1.023293+7 1.179337-4 1.318257+7 8.827382-5 1.737801+7 6.490326-5400023538 1936 2.426610+7 4.517385-5 3.467369+7 3.093172-5 5.308844+7 1.984122-5400023538 1937 9.660509+7 1.073511-5 1.927525+8 5.329094-6 3.845918+8 2.657367-6400023538 1938 3.054921+9 3.331936-7 1.00000+11 1.017400-8 400023538 1939 400023 0 1940 4.000000+4 9.043640+1 0 0 0 0400023539 1941 3.449300+2 0.0 0 0 1 96400023539 1942 96 5 400023539 1943 3.449300+2 1.879308+5 3.510000+2 1.897031+5 3.630781+2 1.919726+5400023539 1944 3.758374+2 1.927188+5 3.890451+2 1.925040+5 4.120975+2 1.898514+5400023539 1945 4.570882+2 1.824239+5 4.786301+2 1.779482+5 5.069907+2 1.712523+5400023539 1946 5.432503+2 1.621294+5 5.900000+2 1.502498+5 6.237348+2 1.418517+5400023539 1947 6.683439+2 1.309732+5 7.300000+2 1.173260+5 7.852356+2 1.063957+5400023539 1948 8.511380+2 9.468234+4 9.332543+2 8.224869+4 1.011579+3 7.223858+4400023539 1949 1.110000+3 6.171160+4 1.216186+3 5.252857+4 1.333521+3 4.431959+4400023539 1950 1.479108+3 3.634279+4 1.621810+3 3.025640+4 1.800000+3 2.441860+4400023539 1951 1.995262+3 1.960872+4 2.220000+3 1.551346+4 2.500000+3 1.185000+4400023539 1952 2.786121+3 9.200257+3 3.126079+3 6.979420+3 3.507519+3 5.254951+3400023539 1953 3.935501+3 3.927516+3 4.415704+3 2.915024+3 4.954502+3 2.148916+3400023539 1954 5.559043+3 1.573841+3 6.309573+3 1.109178+3 7.161434+3 7.760510+2400023539 1955 8.128305+3 5.391902+2 9.225714+3 3.721051+2 1.059254+4 2.464333+2400023539 1956 1.216186+4 1.619576+2 1.396368+4 1.056739+2 1.621810+4 6.602375+1400023539 1957 1.883649+4 4.093860+1 2.213095+4 2.427579+1 2.600160+4 1.428823+1400023539 1958 3.090295+4 8.038099+0 3.758374+4 4.154833+0 4.677351+4 1.970690+0400023539 1959 6.165950+4 7.612086-1 1.071519+5 1.123898-1 1.333521+5 5.306597-2400023539 1960 1.603245+5 2.841358-2 1.883649+5 1.656867-2 2.187762+5 1.011217-2400023539 1961 2.511886+5 6.457123-3 2.851018+5 4.311662-3 3.198895+5 3.007678-3400023539 1962 3.589219+5 2.113440-3 4.000000+5 1.527097-3 4.466836+5 1.105270-3400023539 1963 4.954502+5 8.220455-4 5.495409+5 6.159908-4 6.025596+5 4.798372-4400023539 1964 6.606935+5 3.764369-4 7.244360+5 2.972966-4 8.413951+5 2.048302-4400023539 1965 9.015711+5 1.733302-4 9.549926+5 1.516772-4 1.011579+6 1.335847-4400023539 1966 1.083927+6 1.155450-4 1.161449+6 1.006219-4 1.244515+6 8.829828-5400023539 1967 1.380384+6 7.312079-5 1.659587+6 5.288458-5 1.883649+6 4.263868-5400023539 1968 2.113489+6 3.532160-5 2.398833+6 2.892820-5 2.754229+6 2.345063-5400023539 1969 3.162278+6 1.915589-5 3.672823+6 1.550695-5 4.315191+6 1.244975-5400023539 1970 5.069907+6 1.006913-5 6.095369+6 7.963304-6 7.328245+6 6.340580-6400023539 1971 8.912509+6 5.017121-6 1.122018+7 3.837583-6 1.445440+7 2.880808-6400023539 1972 1.905461+7 2.123486-6 2.600160+7 1.518600-6 3.715352+7 1.041107-6400023539 1973 5.559043+7 6.847230-7 9.885531+7 3.794825-7 1.972423+8 1.884230-7400023539 1974 3.935501+8 9.396480-8 3.126079+9 1.178317-8 1.00000+11 3.68180-10400023539 1975 400023 0 1976 4.000000+4 9.043640+1 0 0 0 0400023540 1977 3.308800+2 0.0 0 0 1 99400023540 1978 99 5 400023540 1979 3.308800+2 4.046964+5 3.350000+2 4.130496+5 3.480000+2 4.290288+5400023540 1980 3.630781+2 4.410165+5 3.715352+2 4.433891+5 3.801894+2 4.431503+5400023540 1981 3.935501+2 4.384358+5 4.430000+2 4.110720+5 4.623810+2 3.993254+5400023540 1982 4.897788+2 3.816270+5 5.248075+2 3.585638+5 5.623413+2 3.344944+5400023540 1983 5.956621+2 3.140854+5 6.382635+2 2.888259+5 7.000000+2 2.559388+5400023540 1984 7.500000+2 2.325156+5 8.035261+2 2.099222+5 8.810489+2 1.817231+5400023540 1985 9.660509+2 1.562297+5 1.059254+3 1.331949+5 1.161449+3 1.128510+5400023540 1986 1.273503+3 9.494667+4 1.412538+3 7.761729+4 1.548817+3 6.445191+4400023540 1987 1.730000+3 5.117520+4 1.927525+3 4.051034+4 2.137962+3 3.216448+4400023540 1988 2.400000+3 2.466552+4 2.660725+3 1.933155+4 2.951209+3 1.504397+4400023540 1989 3.349654+3 1.098016+4 3.801894+3 7.942710+3 4.315191+3 5.696281+3400023540 1990 4.841724+3 4.180024+3 5.432503+3 3.047249+3 6.095369+3 2.207207+3400023540 1991 6.918310+3 1.537122+3 7.943282+3 1.027340+3 9.120108+3 6.809076+2400023540 1992 1.035142+4 4.636688+2 1.188502+4 3.026237+2 1.364583+4 1.960856+2400023540 1993 1.566751+4 1.261246+2 1.819701+4 7.756151+1 2.113489+4 4.733244+1400023540 1994 2.483133+4 2.758696+1 2.917427+4 1.595752+1 3.467369+4 8.809357+0400023540 1995 4.168694+4 4.638870+0 5.128614+4 2.236703+0 6.606934+4 9.091207-1400023540 1996 1.188502+5 1.114566-1 1.445440+5 5.567586-2 1.698244+5 3.164133-2400023540 1997 1.949845+5 1.962253-2 2.213095+5 1.274576-2 2.483133+5 8.666430-3400023540 1998 2.786121+5 5.935418-3 3.090295+5 4.251311-3 3.427678+5 3.067393-3400023540 1999 3.758374+5 2.310397-3 4.120975+5 1.752300-3 4.518559+5 1.338887-3400023540 2000 4.954502+5 1.030772-3 5.432503+5 7.999715-4 5.956621+5 6.257684-4400023540 2001 6.531306+5 4.933123-4 7.079458+5 4.032408-4 7.673615+5 3.316511-4400023540 2002 8.511380+5 2.599693-4 9.120108+5 2.223693-4 9.772372+5 1.914418-4400023540 2003 1.059254+6 1.621099-4 1.161449+6 1.349647-4 1.273503+6 1.131526-4400023540 2004 1.412538+6 9.357051-5 1.640590+6 7.183458-5 1.840772+6 5.901766-5400023540 2005 2.065380+6 4.882756-5 2.344229+6 3.993679-5 2.660725+6 3.289608-5400023540 2006 3.054921+6 2.682206-5 3.548134+6 2.167414-5 4.168694+6 1.737183-5400023540 2007 4.897788+6 1.402816-5 5.888437+6 1.107876-5 7.079458+6 8.809355-6400023540 2008 8.609938+6 6.961312-6 1.083927+7 5.318890-6 1.396368+7 3.988494-6400023540 2009 1.840772+7 2.937305-6 2.540973+7 2.073126-6 3.589219+7 1.437956-6400023540 2010 5.432503+7 9.339628-7 9.660509+7 5.174849-7 1.927525+8 2.568899-7400023540 2011 3.845918+8 1.280987-7 3.054921+9 1.606114-8 1.00000+11 4.90430-10400023540 2012 400023 0 2013 4.000000+4 9.043640+1 0 0 0 0400023541 2014 1.930900+2 0.0 0 0 1 150400023541 2015 150 5 400023541 2016 1.930900+2 1.310304+5 1.935000+2 1.301320+5 1.942000+2 1.295052+5400023541 2017 1.948000+2 1.299940+5 1.953000+2 1.311676+5 1.957000+2 1.327140+5400023541 2018 1.962000+2 1.354148+5 1.966500+2 1.386644+5 1.970000+2 1.417856+5400023541 2019 1.974000+2 1.460424+5 1.979500+2 1.531792+5 1.985000+2 1.619092+5400023541 2020 1.990000+2 1.713336+5 1.996000+2 1.846372+5 2.002000+2 2.002232+5400023541 2021 2.010000+2 2.246844+5 2.035000+2 3.272824+5 2.045000+2 3.777132+5400023541 2022 2.052000+2 4.153040+5 2.060000+2 4.599280+5 2.067000+2 4.999920+5400023541 2023 2.075000+2 5.463720+5 2.083000+2 5.930480+5 2.092000+2 6.454000+5400023541 2024 2.100000+2 6.914920+5 2.110000+2 7.483240+5 2.120000+2 8.040600+5400023541 2025 2.131000+2 8.640720+5 2.143500+2 9.305260+5 2.155000+2 9.900440+5400023541 2026 2.170000+2 1.065260+6 2.185000+2 1.137596+6 2.198000+2 1.197692+6400023541 2027 2.213095+2 1.264306+6 2.230000+2 1.334180+6 2.245000+2 1.391620+6400023541 2028 2.264644+2 1.460207+6 2.280000+2 1.508188+6 2.300000+2 1.563632+6400023541 2029 2.323000+2 1.617584+6 2.350000+2 1.669244+6 2.380000+2 1.714372+6400023541 2030 2.415000+2 1.754716+6 2.454709+2 1.789347+6 2.511886+2 1.826003+6400023541 2031 2.580000+2 1.856412+6 2.650000+2 1.874248+6 2.722701+2 1.877733+6400023541 2032 2.800000+2 1.865712+6 2.884032+2 1.838509+6 3.000000+2 1.787596+6400023541 2033 3.126079+2 1.723432+6 3.240000+2 1.660520+6 3.350000+2 1.595576+6400023541 2034 3.470000+2 1.521676+6 3.672823+2 1.397163+6 3.850000+2 1.292776+6400023541 2035 4.100000+2 1.156196+6 4.315191+2 1.049371+6 4.570882+2 9.339957+5400023541 2036 4.897788+2 8.057563+5 5.248075+2 6.908334+5 5.623413+2 5.881477+5400023541 2037 6.095369+2 4.837751+5 6.683439+2 3.842226+5 7.300000+2 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