78-Pt Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 7.800000+4 1.934140+2 -1 0 0 37800 1451 1 0.0 0.0 0 0 0 67800 1451 2 0.0 0.0 0 0 3 67800 1451 3 0.0 0.0 0 0 154 347800 1451 4 78-PT LLNL Eval-Jul97 D.E.Cullen, et al. 7800 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 7800 1451 6 ---- ENDF/B-VI MATERIAL 7800 7800 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 7800 1451 8 ------ ENDF/B-6 7800 1451 9 =================================================================7800 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 7800 1451 11 ENDF/B-VI format 7800 1451 12 =================================================================7800 1451 13 Contents 7800 1451 14 =================================================================7800 1451 15 MF/MT Description 7800 1451 16 =================================================================7800 1451 17 23/501 Total cross sections 7800 1451 18 23/502 Coherent scattering cross sections 7800 1451 19 23/504 Incoherent scattering cross sections 7800 1451 20 23/515 Pair production cross sections, Electron field 7800 1451 21 23/516 Pair production cross sections, Total 7800 1451 22 23/517 Pair production cross sections, Nuclear field 7800 1451 23 23/522 Total photoionization cross section 7800 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 7800 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 7800 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 7800 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 7800 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 7800 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 7800 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 7800 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 7800 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 7800 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 7800 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 7800 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 7800 1451 36 23/546 N4 (4D3/2) Photoionization subshell cross section 7800 1451 37 23/547 N5 (4D5/2) Photoionization subshell cross section 7800 1451 38 23/548 N6 (4F5/2) Photoionization subshell cross section 7800 1451 39 23/549 N7 (4F7/2) Photoionization subshell cross section 7800 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 7800 1451 41 23/551 O2 (5P1/2) Photoionization subshell cross section 7800 1451 42 23/552 O3 (5P3/2) Photoionization subshell cross section 7800 1451 43 23/553 O4 (5D3/2) Photoionization subshell cross section 7800 1451 44 23/554 O5 (5D5/2) Photoionization subshell cross section 7800 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 7800 1451 46 =================================================================7800 1451 47 27/502 Coherent scattering form factors 7800 1451 48 27/504 Incoherent scattering functions 7800 1451 49 27/505 Imaginary anomalous scattering factor 7800 1451 50 27/506 Real anomalous scattering factor 7800 1451 51 =================================================================7800 1451 52 Warning 7800 1451 53 =================================================================7800 1451 54 MF/MT combinations used to define photoionization subshell cross7800 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 7800 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7800 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7800 1451 58 If you are not prepared to use this data you need merely delete 7800 1451 59 it and all of the remaining data will still be consistent and 7800 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 7800 1451 61 However, this will limit the range of problems to which this 7800 1451 62 data can be applied (see: ref. 1 for details). 7800 1451 63 =================================================================7800 1451 64 Definition of new types of data 7800 1451 65 =================================================================7800 1451 66 1) The total photoionization cross section is equal to the sum 7800 1451 67 of the photoionization subshell cross sections. 7800 1451 68 7800 1451 69 For each subshell on the second line of a section the C1 and 7800 1451 70 C2 fields are defined as, 7800 1451 71 7800 1451 72 EPE = The photoionization edge energy (similar to Q-value) 7800 1451 73 EFL = The fluorescence yield (eV/photoionization) 7800 1451 74 7800 1451 75 2) The angular distribution of coherently scattered photons is, 7800 1451 76 7800 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7800 1451 78 7800 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 7800 1451 80 T = The Thomson cross section 7800 1451 81 MU = The cosine of the scattering angle 7800 1451 82 FF(M) = The atomic form factor 7800 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7800 1451 84 F1(E) = The real anomalous scattering factor 7800 1451 85 F2(E) = The imaginary anomalous scattering factor 7800 1451 86 7800 1451 87 F1(E) and F2(E) are isotropic. 7800 1451 88 7800 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 7800 1451 90 using only form factors (the older ENDF/B convention). 7800 1451 91 =================================================================7800 1451 92 Differences between EPDL97 and the data base presented here 7800 1451 93 =================================================================7800 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 7800 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 7800 1451 96 2) Type of Data - EPDL97 - Photon interaction including 7800 1451 97 photoexcitation 7800 1451 98 Here - Photon interaction - ENDF/B-VI has 7800 1451 99 no provision for photoexcitation 7800 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 7800 1451 101 (photons, electrons, positrons) 7800 1451 102 HERE - No secondary energy data 7800 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7800 1451 104 interpolable - the total cross 7800 1451 105 section is not included 7800 1451 106 - Form factors and scattering functions 7800 1451 107 are Log X vs. Log y, except first 7800 1451 108 interval. 7800 1451 109 - Anomalous scattering factors linearly 7800 1451 110 interpolable (they can be negative) 7800 1451 111 Here - Up through ENDF/B-V photon interaction7800 1451 112 cross sections were Log X vs. Log Y. 7800 1451 113 - For the first two Mods. of ENDF/B-VI 7800 1451 114 in order to consistently define the 7800 1451 115 total cross sections at ALL energies 7800 1451 116 all cross sections were linearized. 7800 1451 117 This was NOT a good idea. 7800 1451 118 - Starting with Mod. 3, cross sections 7800 1451 119 are left in Log X vs. Log. Y form so 7800 1451 120 that they are IDENTICAL to what's in 7800 1451 121 EPDL97. 7800 1451 122 The total is defined ONLY at the 7800 1451 123 energies tabulated in any other cross 7800 1451 124 section. 7800 1451 125 WARNING - As a result the total cross section 7800 1451 126 MUST NOT be interpolated to define the7800 1451 127 total between tabulated energies. The 7800 1451 128 ONLY consist way to define the total 7800 1451 129 between tabulated energies is to 7800 1451 130 interpolate all of the partials and 7800 1451 131 add them up. 7800 1451 132 =================================================================7800 1451 133 References 7800 1451 134 =================================================================7800 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7800 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7800 1451 137 graphs of photon interaction cross sections from 10 eV to 100 7800 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7800 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7800 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7800 1451 141 7800 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7800 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7800 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 7800 1451 145 7800 1451 146 These are the primary references to the contents of this library7800 1451 147 and they contain a complete list of references to the sources 7800 1451 148 of data used in this library, methods of evaluation, accuracy 7800 1451 149 of the data, etc. 7800 1451 150 =================================================================7800 1451 151 History 7800 1451 152 =================================================================7800 1451 153 Mod. 1 - October, 1989 - Initial release. 7800 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 7800 1451 155 subshell cross sections. 7800 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 7800 1451 157 =================================================================7800 1451 158 1 451 192 37800 1451 159 23 501 859 37800 1451 160 23 502 391 37800 1451 161 23 504 40 37800 1451 162 23 515 34 37800 1451 163 23 516 54 37800 1451 164 23 517 41 37800 1451 165 23 522 398 37800 1451 166 23 534 19 37800 1451 167 23 535 22 37800 1451 168 23 536 22 37800 1451 169 23 537 22 37800 1451 170 23 538 25 37800 1451 171 23 539 28 37800 1451 172 23 540 28 37800 1451 173 23 541 32 37800 1451 174 23 542 29 37800 1451 175 23 543 27 37800 1451 176 23 544 32 37800 1451 177 23 545 32 37800 1451 178 23 546 45 37800 1451 179 23 547 46 37800 1451 180 23 548 58 37800 1451 181 23 549 56 37800 1451 182 23 550 36 37800 1451 183 23 551 44 37800 1451 184 23 552 42 37800 1451 185 23 553 62 37800 1451 186 23 554 62 37800 1451 187 23 559 41 37800 1451 188 27 502 48 37800 1451 189 27 504 49 37800 1451 190 27 505 158 37800 1451 191 27 506 78 37800 1451 192 7800 1 0 193 7800 0 0 194 7.800000+4 1.934140+2 0 0 0 0780023501 195 0.0 0.0 0 0 1 2567780023501 196 2567 5 780023501 197 1.000000+0 1.037706-3 1.090214+0 1.456577-3 1.150624+0 1.793581-3780023501 198 1.203482+0 2.149480-3 1.249733+0 2.515663-3 1.258900+0 2.596152-3780023501 199 1.290203+0 2.886007-3 1.361025+0 3.654321-3 1.414141+0 4.344407-3780023501 200 1.453979+0 4.940050-3 1.536000+0 6.386782-3 1.584900+0 7.319750-3780023501 201 1.619966+0 8.050909-3 1.702542+0 1.010139-2 1.755746+0 1.166395-2780023501 202 1.810613+0 1.350909-2 1.867195+0 1.569187-2 1.925545+0 1.827883-2780023501 203 1.985718+0 2.136505-2 1.995300+0 2.188442-2 2.177757+0 3.386429-2780023501 204 2.388368+0 5.441722-2 2.463005+0 6.389280-2 2.511900+0 7.105271-2780023501 205 2.538271+0 7.517760-2 2.611185+0 8.799881-2 2.681821+0 1.024914-1780023501 206 2.750249+0 1.187915-1 2.816539+0 1.370378-1 2.942969+0 1.791070-1780023501 207 3.003236+0 2.032420-1 3.118179+0 2.582092-1 3.162300+0 2.830567-1780023501 208 3.172971+0 2.893612-1 3.226051+0 3.233906-1 3.277472+0 3.604863-1780023501 209 3.327286+0 4.008244-1 3.375544+0 4.445850-1 3.422293+0 4.919520-1780023501 210 3.467582+0 5.431140-1 3.511455+0 5.983272-1 3.553957+0 6.582249-1780023501 211 3.635018+0 7.901047-1 3.712300+0 9.419315-1 3.784751+0 1.114781+0780023501 212 3.852675+0 1.310110+0 3.916353+0 1.529153+0 3.976051+0 1.774637+0780023501 213 3.981100+0 1.797913+0 4.032018+0 2.048523+0 4.084487+0 2.352170+0780023501 214 4.133677+0 2.687777+0 4.179792+0 3.057985+0 4.223025+0 3.465194+0780023501 215 4.263557+0 3.911655+0 4.301554+0 4.399616+0 4.337178+0 4.931357+0780023501 216 4.370574+0 5.509189+0 4.401884+0 6.135448+0 4.431236+0 6.812516+0780023501 217 4.458754+0 7.542853+0 4.484552+0 8.328984+0 4.508738+0 9.173233+0780023501 218 4.531412+0 1.007754+1 4.556250+0 1.121956+1 4.572597+0 1.207478+1780023501 219 4.591280+0 1.317313+1 4.608795+0 1.434186+1 4.625216+0 1.558381+1780023501 220 4.640610+0 1.690180+1 4.655042+0 1.829875+1 4.668572+0 1.977775+1780023501 221 4.681257+0 2.134203+1 4.693148+0 2.299496+1 4.704297+0 2.474022+1780023501 222 4.714749+0 2.658197+1 4.724547+0 2.852519+1 4.733733+0 3.057596+1780023501 223 4.750957+0 3.519342+1 4.766028+0 4.038169+1 4.779215+0 4.621757+1780023501 224 4.790753+0 5.274496+1 4.800850+0 5.994795+1 4.809684+0 6.774255+1780023501 225 4.817414+0 7.598790+1 4.824178+0 8.450899+1 4.830096+0 9.312143+1780023501 226 4.839805+0 1.099509+2 4.850709+0 1.334744+2 4.873678+0 2.019274+2780023501 227 4.883514+0 2.396072+2 4.889510+0 2.649125+2 4.895505+0 2.918029+2780023501 228 4.907496+0 3.493289+2 4.908994+0 3.567702+2 4.919486+0 4.094425+2780023501 229 4.923608+0 4.300436+2 4.931477+0 4.683348+2 4.935599+0 4.874863+2780023501 230 4.939533+0 5.049506+2 4.943467+0 5.214430+2 4.948713+0 5.416297+2780023501 231 4.953772+0 5.588159+2 4.958456+0 5.724523+2 4.962390+0 5.820435+2780023501 232 4.968198+0 5.928340+2 4.973819+0 5.992048+2 4.979814+0 6.013755+2780023501 233 4.981901+0 6.009886+2 4.987857+0 5.966303+2 4.993761+0 5.876184+2780023501 234 4.999136+0 5.755067+2 5.004421+0 5.601852+2 5.008016+0 5.479681+2780023501 235 5.011900+0 5.321535+2 5.016512+0 5.139814+2 5.021149+0 4.928371+2780023501 236 5.025057+0 4.738531+2 5.030212+0 4.474975+2 5.034229+0 4.261656+2780023501 237 5.039393+0 3.980440+2 5.044638+0 3.690511+2 5.050119+0 3.387291+2780023501 238 5.057379+0 2.991910+2 5.062624+0 2.715003+2 5.064123+0 2.637693+2780023501 239 5.072554+0 2.221125+2 5.075364+0 2.090050+2 5.087355+0 1.580933+2780023501 240 5.091969+0 1.408020+2 5.095657+0 1.279216+2 5.099346+0 1.158784+2780023501 241 5.102343+0 1.067014+2 5.106278+0 9.547323+1 5.112240+0 8.017277+1780023501 242 5.118205+0 6.682995+1 5.122899+0 5.762668+1 5.127520+0 4.960658+1780023501 243 5.134317+0 3.953279+1 5.140956+0 3.147389+1 5.157948+0 1.739330+1780023501 244 5.162039+0 1.514164+1 5.166051+0 1.328082+1 5.170001+0 1.175069+1780023501 245 5.171952+0 1.109553+1 5.173889+0 1.050684+1 5.175810+0 9.979911+0780023501 246 5.177716+0 9.510370+0 5.179607+0 9.094113+0 5.299708+0 3.001322+1780023501 247 5.307214+0 3.471530+1 5.314251+0 3.997498+1 5.320849+0 4.581578+1780023501 248 5.327034+0 5.225080+1 5.332832+0 5.928197+1 5.338268+0 6.689955+1780023501 249 5.348142+0 8.379847+1 5.357100+0 1.033373+2 5.371797+0 1.467678+2780023501 250 5.391665+0 2.363556+2 5.403648+0 3.131580+2 5.412991+0 3.875292+2780023501 251 5.422205+0 4.747430+2 5.429045+0 5.489350+2 5.433148+0 5.974242+2780023501 252 5.439819+0 6.826216+2 5.446489+0 7.755864+2 5.459829+0 9.830730+2780023501 253 5.461496+0 1.010811+3 5.473169+0 1.213675+3 5.477755+0 1.296480+3780023501 254 5.486509+0 1.456673+3 5.493283+0 1.580202+3 5.499849+0 1.697239+3780023501 255 5.506624+0 1.812889+3 5.513189+0 1.917762+3 5.519026+0 2.003237+3780023501 256 5.524419+0 2.074427+3 5.527363+0 2.109732+3 5.535180+0 2.189887+3780023501 257 5.541284+0 2.237524+3 5.548395+0 2.275144+3 5.554198+0 2.290960+3780023501 258 5.566967+0 2.277854+3 5.572933+0 2.249629+3 5.580724+0 2.192934+3780023501 259 5.586049+0 2.142242+3 5.589640+0 2.103068+3 5.594898+0 2.039124+3780023501 260 5.600005+0 1.970366+3 5.606571+0 1.873855+3 5.612407+0 1.781960+3780023501 261 5.618035+0 1.689338+3 5.626581+0 1.544078+3 5.633251+0 1.429248+3780023501 262 5.640755+0 1.301045+3 5.646591+0 1.203465+3 5.659931+0 9.924732+2780023501 263 5.668894+0 8.632087+2 5.673272+0 8.043166+2 5.683277+0 6.808161+2780023501 264 5.694356+0 5.624242+2 5.721877+0 3.465029+2 5.732591+0 2.881858+2780023501 265 5.743138+0 2.419439+2 5.753562+0 2.052741+2 5.763823+0 1.763141+2780023501 266 5.773924+0 1.533525+2 5.783866+0 1.350146+2 5.793654+0 1.202232+2780023501 267 5.803288+0 1.081498+2 5.812772+0 9.816629+1 5.822108+0 8.980056+1780023501 268 5.831298+0 8.269974+1 5.849390+0 7.122360+1 5.866917+0 6.242788+1780023501 269 5.883897+0 5.546574+1 5.900346+0 4.981861+1 5.916281+0 4.515070+1780023501 270 5.931717+0 4.123341+1 5.946672+0 3.790452+1 5.961159+0 3.504516+1780023501 271 5.989228+0 3.033231+1 6.015542+0 2.669439+1 6.040212+0 2.381356+1780023501 272 6.070926+0 2.078818+1 6.105350+0 1.797525+1 6.143464+0 1.540784+1780023501 273 6.176813+0 1.352826+1 6.231527+0 1.101120+1 6.309600+0 8.298032+0780023501 274 6.309723+0 8.294358+0 6.410260+0 5.793184+0 6.473372+0 4.606065+0780023501 275 6.520706+0 3.859494+0 6.552262+0 3.418077+0 6.583818+0 3.015817+0780023501 276 6.615374+0 2.648812+0 6.646930+0 2.314153+0 6.678486+0 2.009732+0780023501 277 6.694264+0 1.868237+0 6.710042+0 1.733437+0 6.725820+0 1.604883+0780023501 278 6.844851+0 7.914245-1 6.889488+0 5.538271-1 6.928545+0 3.809869-1780023501 279 6.962719+0 2.578635-1 6.992622+0 1.730844-1 7.018788+0 1.185650-1780023501 280 7.041682+0 8.832590-2 7.061715+0 7.760666-2 7.079243+0 8.229274-2780023501 281 7.090034+0 9.251783-2 7.094581+0 9.862116-2 7.108001+0 1.231313-1780023501 282 7.119744+0 1.527614-1 7.130019+0 1.849667-1 7.139009+0 2.177818-1780023501 283 7.146876+0 2.498044-1 7.153760+0 2.801206-1 7.165805+0 3.375417-1780023501 284 7.174840+0 3.834394-1 7.181616+0 4.189629-1 7.186698+0 4.460198-1780023501 285 7.193368+0 4.818591-1 7.200871+0 5.223868-1 7.208764+0 5.650740-1780023501 286 7.219670+0 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2.089296+4 2.120597+4780023522 1854 2.113489+4 2.057594+4 2.162719+4 1.937200+4 2.187762+4 1.879743+4780023522 1855 2.213095+4 1.824028+4 2.238721+4 1.768944+4 2.317395+4 1.613578+4780023522 1856 2.344229+4 1.564945+4 2.371374+4 1.517797+4 2.398833+4 1.472105+4780023522 1857 2.426610+4 1.427817+4 2.454709+4 1.384885+4 2.483133+4 1.343279+4780023522 1858 2.511886+4 1.302956+4 2.540973+4 1.263839+4 2.570396+4 1.225634+4780023522 1859 2.600160+4 1.188534+4 2.660725+4 1.117745+4 2.691535+4 1.083989+4780023522 1860 2.754229+4 1.019546+4 2.786121+4 9.888095+3 2.800000+4 9.757423+3780023522 1861 2.818383+4 9.586758+3 2.851018+4 9.293901+3 2.884032+4 9.010186+3780023522 1862 2.917427+4 8.735312+3 2.951209+4 8.469037+3 2.985383+4 8.210638+3780023522 1863 3.054921+4 7.717280+3 3.090295+4 7.482118+3 3.126079+4 7.254185+3780023522 1864 3.162278+4 7.033305+3 3.198895+4 6.818691+3 3.235937+4 6.610740+3780023522 1865 3.311311+4 6.212101+3 3.349654+4 6.022107+3 3.388442+4 5.838064+3780023522 1866 3.427678+4 5.659645+3 3.467369+4 5.486611+3 3.500000+4 5.349711+3780023522 1867 3.589219+4 4.996955+3 3.630781+4 4.842545+3 3.672823+4 4.693018+3780023522 1868 3.715352+4 4.548154+3 3.758374+4 4.407840+3 3.845918+4 4.140362+3780023522 1869 3.935501+4 3.889478+3 3.981072+4 3.769725+3 4.027170+4 3.653749+3780023522 1870 4.073803+4 3.540985+3 4.120975+4 3.431670+3 4.168694+4 3.325805+3780023522 1871 4.265795+4 3.123935+3 4.315191+4 3.027749+3 4.365158+4 2.933570+3780023522 1872 4.415704+4 2.842343+3 4.466836+4 2.754007+3 4.570882+4 2.585660+3780023522 1873 4.623810+4 2.505401+3 4.731513+4 2.352334+3 4.786301+4 2.279425+3780023522 1874 4.800000+4 2.261686+3 4.897788+4 2.140320+3 5.000000+4 2.022892+3780023522 1875 5.011872+4 2.009770+3 5.128614+4 1.886422+3 5.188000+4 1.827667+3780023522 1876 5.248075+4 1.770759+3 5.308844+4 1.715480+3 5.370318+4 1.661962+3780023522 1877 5.500000+4 1.556322+3 5.623413+4 1.464182+3 5.688529+4 1.418594+3780023522 1878 5.754399+4 1.374158+3 5.888437+4 1.289481+3 6.095369+4 1.172324+3780023522 1879 6.165950+4 1.135728+3 6.309573+4 1.065972+3 6.382635+4 1.032678+3780023522 1880 6.500000+4 9.821035+2 6.606934+4 9.388533+2 6.683439+4 9.093289+2780023522 1881 6.760830+4 8.807336+2 6.839116+4 8.530226+2 6.918310+4 8.261948+2780023522 1882 6.998420+4 8.002261+2 7.079458+4 7.750888+2 7.161434+4 7.507544+2780023522 1883 7.328245+4 7.043949+2 7.413102+4 6.823132+2 7.498942+4 6.609359+2780023522 1884 7.585776+4 6.402381+2 7.762471+4 6.008020+2 7.861500+4 5.800137+2780023522 1885 7.861500+4 2.842489+3 8.035261+4 2.686648+3 8.128305+4 2.608039+3780023522 1886 8.222426+4 2.531742+3 8.317638+4 2.457672+3 8.413951+4 2.385781+3780023522 1887 8.511380+4 2.315974+3 8.709636+4 2.184882+3 8.800000+4 2.128567+3780023522 1888 8.810489+4 2.121895+3 9.015711+4 1.996963+3 9.225714+4 1.879417+3780023522 1889 9.332543+4 1.823203+3 9.440609+4 1.768677+3 9.660509+4 1.664487+3780023522 1890 9.772372+4 1.615298+3 9.885531+4 1.567557+3 1.011580+5 1.476277+3780023522 1891 1.059254+5 1.309420+3 1.071519+5 1.270753+3 1.083927+5 1.233231+3780023522 1892 1.109175+5 1.160213+3 1.122019+5 1.125304+3 1.135011+5 1.091452+3780023522 1893 1.148154+5 1.058619+3 1.174898+5 9.958968+2 1.216186+5 9.082857+2780023522 1894 1.244515+5 8.542039+2 1.258925+5 8.283883+2 1.273503+5 8.033532+2780023522 1895 1.318257+5 7.327100+2 1.364583+5 6.682979+2 1.380384+5 6.481147+2780023522 1896 1.396368+5 6.285223+2 1.412538+5 6.095218+2 1.428894+5 5.910986+2780023522 1897 1.462177+5 5.557095+2 1.479108+5 5.388196+2 1.548817+5 4.762493+2780023522 1898 1.566751+5 4.617777+2 1.584893+5 4.477468+2 1.603245+5 4.341431+2780023522 1899 1.621810+5 4.209534+2 1.640590+5 4.081653+2 1.678804+5 3.837458+2780023522 1900 1.698244+5 3.720913+2 1.717908+5 3.607923+2 1.737801+5 3.498365+2780023522 1901 1.798871+5 3.189321+2 1.800000+5 3.183968+2 1.819701+5 3.092579+2780023522 1902 1.840772+5 2.998781+2 1.862087+5 2.907834+2 1.905461+5 2.734143+2780023522 1903 1.972423+5 2.492901+2 2.000000+5 2.402041+2 2.018366+5 2.344049+2780023522 1904 2.041738+5 2.272991+2 2.065380+5 2.204101+2 2.089296+5 2.137307+2780023522 1905 2.113489+5 2.072541+2 2.137962+5 2.009741+2 2.187762+5 1.889850+2780023522 1906 2.213095+5 1.832644+2 2.238721+5 1.777174+2 2.264644+5 1.723384+2780023522 1907 2.290868+5 1.671223+2 2.317395+5 1.620644+2 2.344229+5 1.571599+2780023522 1908 2.398833+5 1.478830+2 2.426610+5 1.434524+2 2.454709+5 1.391551+2780023522 1909 2.483133+5 1.349868+2 2.511886+5 1.309452+2 2.540973+5 1.270257+2780023522 1910 2.570396+5 1.232276+2 2.600160+5 1.195450+2 2.630268+5 1.159728+2780023522 1911 2.691535+5 1.091463+2 2.786121+5 9.965354+1 2.800000+5 9.835772+1780023522 1912 2.818383+5 9.669934+1 2.851018+5 9.384940+1 2.884032+5 9.108476+1780023522 1913 2.985383+5 8.327088+1 3.054921+5 7.844049+1 3.090295+5 7.613179+1780023522 1914 3.126079+5 7.389110+1 3.162278+5 7.171708+1 3.198895+5 6.961049+1780023522 1915 3.235937+5 6.756596+1 3.273407+5 6.561381+1 3.311311+5 6.371817+1780023522 1916 3.388442+5 6.008982+1 3.427678+5 5.835400+1 3.467369+5 5.666923+1780023522 1917 3.507519+5 5.503316+1 3.589219+5 5.190190+1 3.630781+5 5.040392+1780023522 1918 3.672823+5 4.894988+1 3.715352+5 4.753786+1 3.758374+5 4.619019+1780023522 1919 3.801894+5 4.488309+1 3.845918+5 4.361320+1 3.890451+5 4.237929+1780023522 1920 4.000000+5 3.954646+1 4.027170+5 3.888520+1 4.073803+5 3.778650+1780023522 1921 4.120975+5 3.671889+1 4.216965+5 3.467342+1 4.265795+5 3.369385+1780023522 1922 4.315191+5 3.275981+1 4.365158+5 3.185175+1 4.415705+5 3.097078+1780023522 1923 4.466836+5 3.011483+1 4.518559+5 2.928302+1 4.570882+5 2.847430+1780023522 1924 4.623810+5 2.768796+1 4.841724+5 2.475397+1 4.897788+5 2.408414+1780023522 1925 4.954502+5 2.343278+1 5.011872+5 2.279983+1 5.069907+5 2.218531+1780023522 1926 5.248075+5 2.043992+1 5.308844+5 1.988922+1 5.432503+5 1.883195+1780023522 1927 5.495409+5 1.832459+1 5.559043+5 1.784255+1 5.623413+5 1.737350+1780023522 1928 5.688529+5 1.691704+1 5.754399+5 1.647366+1 5.821032+5 1.604197+1780023522 1929 5.888437+5 1.562160+1 5.956621+5 1.521225+1 6.025596+5 1.481364+1780023522 1930 6.095369+5 1.442547+1 6.165950+5 1.404771+1 6.237348+5 1.368801+1780023522 1931 6.309573+5 1.333751+1 6.382635+5 1.299624+1 6.456542+5 1.266372+1780023522 1932 6.531306+5 1.234051+1 6.606935+5 1.202560+1 6.760830+5 1.141970+1780023522 1933 6.839117+5 1.112848+1 6.918310+5 1.084489+1 6.998420+5 1.057472+1780023522 1934 7.079458+5 1.031133+1 7.161434+5 1.005451+1 7.244360+5 9.804233+0780023522 1935 7.328245+5 9.560194+0 7.413102+5 9.322865+0 7.498942+5 9.091464+0780023522 1936 7.585776+5 8.865939+0 7.762471+5 8.431789+0 7.943282+5 8.028085+0780023522 1937 8.000000+5 7.907295+0 8.035261+5 7.833544+0 8.128305+5 7.643719+0780023522 1938 8.222427+5 7.458603+0 8.413951+5 7.102884+0 8.511380+5 6.931441+0780023522 1939 8.609938+5 6.764162+0 8.709636+5 6.601087+0 8.912509+5 6.294405+0780023522 1940 9.015711+5 6.146452+0 9.120108+5 6.001979+0 9.225714+5 5.861006+0780023522 1941 9.332543+5 5.723801+0 9.440609+5 5.590026+0 9.549926+5 5.459431+0780023522 1942 9.660509+5 5.331889+0 9.772372+5 5.210735+0 9.885531+5 5.092362+0780023522 1943 1.000000+6 4.976764+0 1.011579+6 4.863909+0 1.022000+6 4.765661+0780023522 1944 1.023293+6 4.753682+0 1.035142+6 4.645979+0 1.047129+6 4.540968+0780023522 1945 1.059254+6 4.438357+0 1.071519+6 4.338145+0 1.096478+6 4.144448+0780023522 1946 1.109175+6 4.050937+0 1.122018+6 3.959543+0 1.135011+6 3.872159+0780023522 1947 1.148154+6 3.786722+0 1.161449+6 3.703221+0 1.174898+6 3.621561+0780023522 1948 1.188502+6 3.541759+0 1.202264+6 3.463932+0 1.216186+6 3.387870+0780023522 1949 1.230269+6 3.313496+0 1.244515+6 3.240768+0 1.250000+6 3.213416+0780023522 1950 1.258925+6 3.169679+0 1.273503+6 3.100158+0 1.303167+6 2.969283+0780023522 1951 1.318257+6 2.905933+0 1.333521+6 2.844029+0 1.364583+6 2.724507+0780023522 1952 1.380384+6 2.666664+0 1.412538+6 2.554698+0 1.445440+6 2.447436+0780023522 1953 1.479108+6 2.347487+0 1.496236+6 2.299074+0 1.500000+6 2.288652+0780023522 1954 1.513561+6 2.251838+0 1.531087+6 2.205610+0 1.566751+6 2.115996+0780023522 1955 1.584893+6 2.072569+0 1.603245+6 2.030035+0 1.678804+6 1.872637+0780023522 1956 1.698244+6 1.835237+0 1.717908+6 1.798724+0 1.737801+6 1.762969+0780023522 1957 1.798871+6 1.659936+0 1.819701+6 1.626953+0 1.840772+6 1.594625+0780023522 1958 1.862087+6 1.563678+0 1.883649+6 1.533333+0 1.949845+6 1.445783+0780023522 1959 1.972423+6 1.417810+0 1.995262+6 1.390397+0 2.000000+6 1.384818+0780023522 1960 2.018366+6 1.363538+0 2.065380+6 1.311385+0 2.089296+6 1.286061+0780023522 1961 2.113489+6 1.261231+0 2.187762+6 1.191627+0 2.213095+6 1.169293+0780023522 1962 2.238721+6 1.147478+0 2.264644+6 1.126097+0 2.317395+6 1.084530+0780023522 1963 2.344229+6 1.064327+0 2.371374+6 1.044503+0 2.483133+6 9.709677-1780023522 1964 2.511886+6 9.534106-1 2.540973+6 9.362459-1 2.570396+6 9.194111-1780023522 1965 2.630268+6 8.866520-1 2.660725+6 8.707128-1 2.691535+6 8.550627-1780023522 1966 2.851018+6 7.829646-1 2.884032+6 7.692931-1 2.917427+6 7.559128-1780023522 1967 2.951209+6 7.427784-1 3.054921+6 7.047358-1 3.090295+6 6.924931-1780023522 1968 3.126079+6 6.804648-1 3.162278+6 6.689597-1 3.349654+6 6.142886-1780023522 1969 3.388442+6 6.039379-1 3.427678+6 5.937805-1 3.548134+6 5.643281-1780023522 1970 3.589219+6 5.548391-1 3.630781+6 5.455109-1 3.672823+6 5.365907-1780023522 1971 3.890451+6 4.941307-1 3.935501+6 4.860787-1 4.000000+6 4.749529-1780023522 1972 4.120975+6 4.552221-1 4.168694+6 4.478195-1 4.216965+6 4.405386-1780023522 1973 4.265795+6 4.335694-1 4.570882+6 3.940095-1 4.623810+6 3.877978-1780023522 1974 4.677351+6 3.816953-1 4.841724+6 3.639617-1 4.897788+6 3.582356-1780023522 1975 4.954502+6 3.526005-1 5.011872+6 3.472047-1 5.370318+6 3.165203-1780023522 1976 5.495409+6 3.069386-1 5.559043+6 3.022655-1 5.754399+6 2.886717-1780023522 1977 5.821032+6 2.842776-1 5.888437+6 2.799511-1 5.956621+6 2.758051-1780023522 1978 6.382635+6 2.521869-1 6.531306+6 2.447966-1 6.606934+6 2.411892-1780023522 1979 6.918310+6 2.272862-1 7.000000+6 2.238724-1 7.079458+6 2.206387-1780023522 1980 7.161434+6 2.174691-1 7.762471+6 1.965208-1 7.943282+6 1.909331-1780023522 1981 8.035261+6 1.882039-1 8.317638+6 1.802498-1 8.413951+6 1.776739-1780023522 1982 8.511380+6 1.751352-1 8.609938+6 1.726971-1 9.332543+6 1.565553-1780023522 1983 9.549926+6 1.522407-1 9.660509+6 1.501295-1 9.772372+6 1.480501-1780023522 1984 1.011579+7 1.419831-1 1.023293+7 1.400165-1 1.035142+7 1.380775-1780023522 1985 1.047129+7 1.362054-1 1.188502+7 1.172153-1 1.200000+7 1.158849-1780023522 1986 1.202264+7 1.156272-1 1.216186+7 1.140651-1 1.230269+7 1.125253-1780023522 1987 1.244515+7 1.110082-1 1.258925+7 1.095117-1 1.548817+7 8.626977-2780023522 1988 1.566751+7 8.513406-2 1.584893+7 8.401633-2 1.600000+7 8.310682-2780023522 1989 1.603245+7 8.291397-2 1.621810+7 8.182717-2 1.640590+7 8.077852-2780023522 1990 2.000000+7 6.470182-2 2.018366+7 6.404262-2 2.041738+7 6.322390-2780023522 1991 2.089296+7 6.161853-2 2.113489+7 6.083199-2 2.137962+7 6.007124-2780023522 1992 2.162719+7 5.931998-2 2.660725+7 4.729584-2 2.691535+7 4.670438-2780023522 1993 2.754229+7 4.554613-2 2.786121+7 4.497783-2 2.818383+7 4.441687-2780023522 1994 2.851018+7 4.386298-2 2.884032+7 4.331642-2 2.917427+7 4.278690-2780023522 1995 2.951209+7 4.226385-2 3.000000+7 4.152991-2 3.672823+7 3.345610-2780023522 1996 3.715352+7 3.304712-2 3.801894+7 3.224562-2 3.890451+7 3.146356-2780023522 1997 3.981072+7 3.070073-2 4.000000+7 3.054592-2 4.027170+7 3.032638-2780023522 1998 4.073803+7 2.995677-2 4.168694+7 2.924183-2 4.216965+7 2.889079-2780023522 1999 4.315191+7 2.820130-2 5.432503+7 2.214960-2 5.495409+7 2.188416-2780023522 2000 5.623413+7 2.136282-2 5.688529+7 2.110682-2 5.821032+7 2.060416-2780023522 2001 5.888437+7 2.035741-2 5.956621+7 2.011371-2 6.000000+7 1.996163-2780023522 2002 6.025596+7 1.987294-2 6.095369+7 1.963819-2 6.237348+7 1.917699-2780023522 2003 6.456542+7 1.850541-2 8.609938+7 1.374943-2 8.709636+7 1.358702-2780023522 2004 8.810489+7 1.342676-2 8.912509+7 1.326838-2 9.120108+7 1.295730-2780023522 2005 9.225714+7 1.280455-2 9.332543+7 1.265363-2 9.549926+7 1.236009-2780023522 2006 9.660509+7 1.221588-2 1.000000+8 1.179327-2 1.717908+8 6.793322-3780023522 2007 1.737801+8 6.714136-3 1.757924+8 6.635876-3 1.778279+8 6.558547-3780023522 2008 1.798871+8 6.482128-3 1.819701+8 6.406617-3 1.862087+8 6.259353-3780023522 2009 1.905461+8 6.115471-3 3.427678+8 3.379836-3 3.467369+8 3.340790-3780023522 2010 3.507519+8 3.302196-3 3.548134+8 3.264053-3 3.589219+8 3.226356-3780023522 2011 3.630781+8 3.189098-3 3.715352+8 3.116244-3 3.801894+8 3.045053-3780023522 2012 1.364583+9 8.444407-4 1.380384+9 8.347426-4 1.396368+9 8.251560-4780023522 2013 1.412538+9 8.156795-4 1.428894+9 8.063131-4 1.445440+9 7.970546-4780023522 2014 1.479108+9 7.789038-4 1.513561+9 7.611658-4 4.31519+10 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