62-Sm 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 62000.0000 149.108000 -1 0 0 36200 1451 0.0 0.0 0 0 0 66200 1451 0.0 1.0000E+11 0 0 3 66200 1451 0.0 0.0 1 0 171 326200 1451 62-Sm- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 6200 1451 NDS-IAEA-225 Dist-Jan25 6200 1451 ---- ENDF/B-VI MATERIAL 6200 6200 1451 ----- PHOTO-ATOMIC INTERACTION DATA 6200 1451 ------ ENDF/B-6 6200 1451 =================================================================6200 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 6200 1451 ENDF-6 Format. 6200 1451 =================================================================6200 1451 Contents 6200 1451 =================================================================6200 1451 MF/MT Description 6200 1451 =================================================================6200 1451 23/501 Total cross sections 6200 1451 23/502 Coherent scattering cross sections 6200 1451 23/504 Incoherent scattering cross sections 6200 1451 23/515 Pair production cross sections, Electron field 6200 1451 23/516 Pair production cross sections, Total 6200 1451 23/517 Pair production cross sections, Nuclear field 6200 1451 23/522 Total photoionization cross section 6200 1451 23/534 K (1S1/2) Photoionization subshell cross section 6200 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 6200 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 6200 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 6200 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 6200 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 6200 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 6200 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 6200 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 6200 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 6200 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 6200 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 6200 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 6200 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 6200 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 6200 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 6200 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 6200 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 6200 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 6200 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 6200 1451 =================================================================6200 1451 27/502 Coherent scattering form factors 6200 1451 27/504 Incoherent scattering functions 6200 1451 27/505 Imaginary anomalous scattering factor 6200 1451 27/506 Real anomalous scattering factor 6200 1451 =================================================================6200 1451 Warning 6200 1451 =================================================================6200 1451 MF/MT combinations used to define photoionization subshell cross6200 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 6200 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 6200 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 6200 1451 If you are not prepared to use this data you need merely delete 6200 1451 it and all of the remaining data will still be consistent and 6200 1451 equivalent to the types of data in earlier versions of ENDF/B. 6200 1451 However, this will limit the range of problems to which this 6200 1451 data can be applied (see: ref. 1 for details). 6200 1451 =================================================================6200 1451 Definition of new types of data 6200 1451 =================================================================6200 1451 1) The total photoionization cross section is equal to the sum 6200 1451 of the photoionization subshell cross sections. 6200 1451 6200 1451 For each subshell on the second line of a section the C1 and 6200 1451 C2 fields are defined as, 6200 1451 6200 1451 EPE = The photoionization edge energy (similar to Q-value) 6200 1451 EFL = The fluorescence yield (eV/photoionization) 6200 1451 6200 1451 2) The angular distribution of coherently scattered photons is, 6200 1451 6200 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6200 1451 6200 1451 S(E,MU) = Angular distributions (barns per unit cosine) 6200 1451 T = The Thomson cross section 6200 1451 MU = The cosine of the scattering angle 6200 1451 FF(M) = The atomic form factor 6200 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 6200 1451 F1(E) = The real anomalous scattering factor 6200 1451 F2(E) = The imaginary anomalous scattering factor 6200 1451 6200 1451 F1(E) and F2(E) are isotropic. 6200 1451 6200 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 6200 1451 using only form factors (the older ENDF/B convention). 6200 1451 =================================================================6200 1451 Differences between EPDL97 and the data base presented here 6200 1451 =================================================================6200 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 6200 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 6200 1451 2) Type of Data - EPDL97 - Photon interaction including 6200 1451 photoexcitation 6200 1451 Here - Photon interaction - ENDF/B-VI has 6200 1451 no provision for photoexcitation 6200 1451 3) Secondary E - EPDL97 - Average energy of each secondary 6200 1451 (photons, electrons, positrons) 6200 1451 HERE - No secondary energy data 6200 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 6200 1451 interpolable - the total cross 6200 1451 section is not included 6200 1451 - Form factors and scattering functions 6200 1451 are Log X vs. Log y, except first 6200 1451 interval. 6200 1451 - Anomalous scattering factors linearly 6200 1451 interpolable (they can be negative) 6200 1451 Here - Up through ENDF/B-V photon interaction6200 1451 cross sections were Log X vs. Log Y. 6200 1451 - For the first two Mods. of ENDF/B-VI 6200 1451 in order to consistently define the 6200 1451 total cross sections at ALL energies 6200 1451 all cross sections were linearized. 6200 1451 This was NOT a good idea. 6200 1451 - Starting with Mod. 3, cross sections 6200 1451 are left in Log X vs. Log. Y form so 6200 1451 that they are IDENTICAL to what's in 6200 1451 EPDL97. 6200 1451 The total is defined ONLY at the 6200 1451 energies tabulated in any other cross 6200 1451 section. 6200 1451 WARNING - As a result the total cross section 6200 1451 MUST NOT be interpolated to define the6200 1451 total between tabulated energies. The 6200 1451 ONLY consist way to define the total 6200 1451 between tabulated energies is to 6200 1451 interpolate all of the partials and 6200 1451 add them up. 6200 1451 =================================================================6200 1451 References 6200 1451 =================================================================6200 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 6200 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 6200 1451 graphs of photon interaction cross sections from 10 eV to 100 6200 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 6200 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 6200 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 6200 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 6200 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 6200 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 6200 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 6200 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 6200 1451 IAEA, Vienna, Austria 6200 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 6200 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 6200 1451 IAEA, Vienna, Austria 6200 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 6200 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 6200 1451 IAEA, Vienna, Austria. 6200 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 6200 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 6200 1451 IAEA, Vienna, Austria. 6200 1451 6200 1451 These are the primary references to the contents of this library6200 1451 and they contain a complete list of references to the sources 6200 1451 of data used in this library, methods of evaluation, accuracy 6200 1451 of the data, etc. 6200 1451 =================================================================6200 1451 History 6200 1451 =================================================================6200 1451 1) Oct. 1989 - Initial Release 6200 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 6200 1451 3) July 1997 - Complete re-evaluation 6200 1451 4) Sept.2014 - Updated based on recently published data. 6200 1451 - Insured Standard C, C++, FORTRAN format 6200 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 6200 1451 - New Photoelectric and Coherent Cross Sections 6200 1451 - New Anomalous Scattering Factors (see, ref. 4) 6200 1451 - ALL Cross Sections Lin-Lin Interpolable 6200 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.6200 1451 =================================================================6200 1451 ***************** Program FIXUP (Version 2023-2) ****************6200 1451 **************** Program DICTIN (VERSION 2023-1) ****************6200 1451 1 451 207 36200 1451 23 501 3684 36200 1451 23 502 155 36200 1451 23 504 132 36200 1451 23 515 73 36200 1451 23 516 146 36200 1451 23 517 96 36200 1451 23 522 3297 36200 1451 23 534 143 36200 1451 23 535 164 36200 1451 23 536 181 36200 1451 23 537 185 36200 1451 23 538 183 36200 1451 23 539 196 36200 1451 23 540 202 36200 1451 23 541 235 36200 1451 23 542 234 36200 1451 23 543 198 36200 1451 23 544 209 36200 1451 23 545 214 36200 1451 23 546 264 36200 1451 23 547 265 36200 1451 23 548 312 36200 1451 23 549 309 36200 1451 23 550 216 36200 1451 23 551 246 36200 1451 23 552 250 36200 1451 23 559 251 36200 1451 27 502 358 36200 1451 27 504 151 36200 1451 27 505 142 36200 1451 27 506 142 36200 1451 6200 1 0 6200 0 0 62000.0000 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49968.3577 4407.98216620023501 49977.1183 4406.11523 49980.8072 4405.32921 49999.6890 4401.30612620023501 50119.0000 4375.90425 50142.0552 4370.99451 50201.9925 4358.23069620023501 50213.9048 4355.69406 50243.3535 4349.42326 50328.1399 4331.36886620023501 50338.6782 4329.12485 50634.1920 4266.20230 50649.0201 4263.04501620023501 50699.0700 4252.43151 50699.0713 4252.43124 50699.7517 4252.28732620023501 50719.7224 4248.06346 50727.1920 4246.48363 50767.6880 4238.44477620023501 50783.3094 4235.34746 50783.9401 4235.22241 50797.1873 4232.59622620023501 50821.1998 4227.83894 50910.9197 4210.06391 50919.6711 4208.33076620023501 51012.4694 4189.95589 51194.7567 4153.86303 51215.5275 4149.75389620023501 51230.6378 4146.76473 51286.1400 4135.78530 51359.9973 4121.24074620023501 51372.2566 4118.82658 51387.3251 4115.85922 51508.0367 4092.08813620023501 51523.7248 4089.00545 51544.0192 4085.01783 51582.7354 4077.43384620023501 51730.8959 4048.41318 51795.3480 4035.78903 51865.5054 4022.04758620023501 51880.0000 4019.21006 51941.7721 4007.33427 52073.9599 3981.92093620023501 52109.7654 3975.03727 52137.1549 3969.77477 52225.6320 3952.77541620023501 52232.4664 3951.46641 52255.0504 3947.14635 52278.1622 3942.72564620023501 52300.2312 3938.51270 52405.2760 3918.46082 52480.7500 3904.12564620023501 52484.5968 3903.39521 52556.3227 3889.77582 52567.5906 3887.63649620023501 52622.5472 3877.20248 52650.9543 3871.80924 52740.5091 3854.80709620023501 52806.7384 3842.23333 52818.6983 3839.96410 52827.5539 3838.28461620023501 53010.6092 3803.07803 53012.0955 3802.79266 53015.8674 3802.06848620023501 53088.4400 3788.13495 53088.4406 3788.13483 53088.4408 3788.13480620023501 53154.3192 3776.21593 53264.9888 3756.19355 53279.9886 3753.48981620023501 53351.3462 3740.62850 53358.7191 3739.29964 53373.1456 3736.70191620023501 53404.5349 3731.04976 53469.4187 3719.41704 53535.6635 3707.54050620023501 53625.9534 3691.35310 53667.1014 3683.97805 53706.5955 3676.90213620023501 53752.7120 3668.65962 53848.2819 3651.57845 53869.7156 3647.74810620023501 53916.1305 3639.45943 53973.1326 3629.28063 54013.2080 3622.12441620023501 54022.9258 3620.49538 54044.0754 3616.95002 54046.7135 3616.50779620023501 54146.7883 3599.73220 54168.8943 3596.02661 54196.0053 3591.48276620023501 54219.3168 3587.57579 54294.5041 3574.98726 54325.0300 3569.90480620023501 54420.6255 3554.03492 54541.2032 3534.02753 54541.7446 3533.93770620023501 54648.4874 3516.22593 54730.2594 3502.66093 54761.4994 3497.47883620023501 54923.2008 3470.65614 54954.0900 3465.53232 55004.7724 3457.12948620023501 55027.1562 3453.41879 55036.2931 3451.90411 55080.2576 3444.63719620023501 55132.3141 3436.03273 55152.1539 3432.75383 55191.8531 3426.21005620023501 55430.6504 3386.85054 55491.3704 3377.57450 55502.0516 3375.94280620023501 55530.6681 3371.57123 55536.3085 3370.70962 55559.1861 3367.21922620023501 55589.9414 3362.52844 55630.4431 3356.35115 55659.7065 3351.89085620023501 55764.8399 3335.86671 55830.9503 3325.79588 55871.1384 3319.67397620023501 55887.7859 3317.13806 55939.0163 3309.38319 55966.0145 3305.30676620023501 55989.3521 3301.78304 56037.0581 3294.58081 56044.7754 3293.41584620023501 56072.0526 3289.29842 56226.7566 3265.94625 56317.2249 3252.32538620023501 56457.7148 3231.17418 56483.1723 3227.34153 56534.9327 3219.54909620023501 56686.8925 3196.67188 56693.7489 3195.64199 56750.1821 3187.16534620023501 56774.1200 3183.57022 56794.7455 3180.47260 56876.0084 3168.27294620023501 56883.6113 3167.13155 56885.2900 3166.87955 56921.1222 3161.94175620023501 56956.1878 3157.11356 56987.3089 3152.82886 57089.8245 3138.71471620023501 57113.3559 3135.47509 57189.5792 3125.03189 57238.6395 3118.31272620023501 57289.5166 3111.34485 57397.1048 3096.64385 57542.2980 3076.86842620023501 57579.6382 3071.78271 57662.7980 3060.46125 57708.2044 3054.27963620023501 57742.5611 3049.60257 57772.7846 3045.48817 57774.6948 3045.22815620023501 57787.5500 3043.47833 57800.4051 3041.72525 57848.3864 3035.18192620023501 57881.8583 3030.61745 58050.1385 3007.66994 58075.0070 3004.29525620023501 58106.5966 3000.01137 58126.6082 2997.29802 58210.3187 2985.95953620023501 58235.8968 2982.69152 58376.4394 2964.77096 58390.8283 2962.93626620023501 58443.6956 2956.19538 58518.4262 2946.66944 58521.3753 2946.29353620023501 58536.9677 2944.30607 58566.9411 2940.48557 58592.8535 2937.18271620023501 58722.3254 2920.68049 58752.8233 2916.79330 58777.3621 2913.67780620023501 58973.4919 2888.78943 59076.7950 2875.68069 59103.8282 2872.25599620023501 59145.1413 2867.02529 59159.5974 2865.19520 59196.0430 2860.58133620023501 59224.3055 2857.00344 59230.1017 2856.31387 59234.9617 2855.73575620023501 59314.1749 2846.32199 59323.1911 2845.25055 59350.4833 2842.00741620023501 59396.4553 2836.54453 59402.2981 2835.85024 59484.2009 2826.12065620023501 59566.2100 2816.43890 59723.7489 2797.84062 59805.7068 2788.16507620023501 59822.5354 2786.17839 59936.2130 2772.78715 59965.3194 2769.35885620023501 60000.0000 2765.28774 60001.0058 2765.16972 60018.9867 2763.05979620023501 60039.3856 2760.66735 60094.5719 2754.19517 60095.3737 2754.10114620023501 60172.9942 2744.99833 60222.0937 2739.24029 60241.1164 2737.01204620023501 60347.1635 2724.59019 60386.1678 2720.02181 60723.9898 2680.45498620023501 60741.4434 2678.41076 60778.4998 2674.07073 60791.2505 2672.68466620023501 60800.6252 2671.66559 60831.3670 2668.32383 60861.9703 2664.99932620023501 60869.7631 2664.15281 60929.7363 2657.64042 60953.6900 2655.04031620023501 61046.7623 2644.98341 61070.8347 2642.39000 61076.1006 2641.82268620023501 61142.7035 2634.64746 61150.3039 2633.82879 61165.1263 2632.23608620023501 61198.7637 2628.62171 61429.3894 2603.84314 61470.0823 2599.47120620023501 61485.1486 2597.85252 61566.7237 2589.08830 61613.9349 2584.01611620023501 61659.5000 2579.12096 61814.4441 2562.47507 61885.5206 2554.84180620023501 61904.5233 2552.80101 61989.3229 2543.69417 62009.0116 2541.58252620023501 62062.2724 2535.88412 62103.2665 2531.49815 62104.3913 2531.37781620023501 62165.4345 2524.84697 62279.5807 2512.65568 62283.7862 2512.20683620023501 62327.3955 2507.57594 62351.2592 2505.04186 62373.4800 2502.68233620023501 62498.7498 2490.12264 62655.5211 2474.40635 62685.1099 2471.44104620023501 62704.9993 2469.44779 62763.1335 2463.62177 62863.4137 2453.57229620023501 62937.8261 2446.13120 62938.1309 2446.10078 63073.2575 2432.61326620023501 63073.9552 2432.54362 63095.7339 2430.36990 63096.0000 2430.34334620023501 63186.5987 2421.29742 63273.3435 2412.63711 63315.0688 2408.47140620023501 63348.6951 2405.11433 63368.7261 2403.11650 63388.3223 2401.16205620023501 63409.0650 2399.09432 63454.4213 2394.57310 63469.5625 2393.06592620023501 63471.4081 2392.88221 63620.6671 2378.09075 63782.0540 2362.13929620023501 63804.3219 2359.93841 63810.8437 2359.29382 63826.3454 2357.76170620023501 63826.3500 2357.76124 63958.5218 2344.70300 64010.3183 2339.58627620023501 64041.1498 2336.73779 64114.4447 2329.96646 64232.8128 2319.05542620023501 64238.8612 2318.49819 64316.1872 2311.37439 64379.8550 2305.50893620023501 64387.7516 2304.78145 64475.6045 2296.69647 64520.6199 2292.55390620023501 64529.1390 2291.76993 64575.6365 2287.51549 64798.1354 2267.15759620023501 64830.9939 2264.15115 64891.4547 2258.61919 64967.8761 2251.62747620023501 64979.9172 2250.52908 64993.0102 2249.33535 65125.3366 2237.27083620023501 65154.6724 2234.59694 65217.2936 2228.88932 65222.2013 2228.44201620023501 65266.0749 2224.44321 65283.8001 2222.90675 65313.0600 2220.37056620023501 65431.3855 2210.13606 65520.6904 2202.41292 65524.8813 2202.05073620023501 65699.2037 2186.98522 65722.6176 2184.96174 65732.0338 2184.14798620023501 65736.9951 2183.71921 65819.3390 2176.60294 65906.1272 2169.10281620023501 65909.1324 2168.84313 65978.3785 2162.85947 65996.9715 2161.25482620023501 66073.5436 2154.66074 66224.0331 2141.70136 66283.6222 2136.83657620023501 66344.7803 2131.84492 66422.7587 2125.48338 66455.9754 2122.79147620023501 66469.7001 2121.67922 66470.6749 2121.60022 66540.1263 2115.97235620023501 66543.4724 2115.70120 66581.4954 2112.62009 66601.2950 2111.01568620023501 66642.3089 2107.69222 66698.3500 2103.16172 66747.9380 2099.15295620023501 66779.4765 2096.60368 66834.3900 2092.17537 66871.7875 2089.16107620023501 67164.8963 2065.53778 67239.3872 2059.53416 67250.9110 2058.60541620023501 67314.0086 2053.52009 67435.7213 2043.71364 67562.5320 2033.49645620023501 67585.0597 2031.68208 67602.9595 2030.24046 67608.3000 2029.81037620023501 67687.3985 2023.44630 67709.4285 2021.78394 67748.1182 2018.86450620023501 67789.9401 2015.70890 67851.9743 2011.02852 67858.8743 2010.50819620023501 67879.0732 2008.98497 67879.3521 2008.96394 67921.6337 2005.79128620023501 67955.8113 2003.22703 67970.6643 2002.11517 68227.4880 1982.94415620023501 68364.2556 1972.73492 68532.6084 1960.16801 68646.3861 1951.67502620023501 68662.1540 1950.49842 68681.9873 1949.01859 68820.0260 1938.71943620023501 68965.5349 1927.86765 68968.9570 1927.61246 68978.2100 1926.92249620023501 68992.5083 1925.85631 68992.7209 1925.84046 69155.8764 1913.73536620023501 69165.2611 1913.03931 69174.0182 1912.38982 69183.0992 1911.71631620023501 69183.1000 1911.71625 69223.9275 1908.81250 69252.9495 1906.74840620023501 69430.9808 1894.11348 69609.0121 1881.51173 69689.5123 1875.81603620023501 69709.2123 1874.42218 69740.1143 1872.23582 69762.4640 1870.65519620023501 69767.5838 1870.29311 69839.5540 1865.20326 69892.1011 1861.48704620023501 70133.4663 1844.41942 70185.9234 1840.71019 70327.9160 1831.27022620023501 70363.0184 1828.93680 70374.6114 1828.16617 70481.4982 1821.06103620023501 70481.6560 1821.05054 70528.5933 1817.93049 70533.1588 1817.62702620023501 70570.2761 1815.16480 70591.1100 1813.78312 70613.8659 1812.27552620023501 70641.9240 1810.41769 70686.1845 1807.49636 70697.1080 1806.77540620023501 70829.8550 1798.06900 70945.5772 1790.47922 71000.3406 1786.88753620023501 71243.0448 1770.96963 71295.4807 1767.53073 71326.2029 1765.51591620023501 71455.8948 1757.01448 71543.6469 1751.26225 71603.0720 1747.36741620023501 71614.5277 1746.61658 71645.7998 1744.56701 71650.0275 1744.28993620023501 71774.0406 1736.16433 71795.9253 1734.73041 71818.5747 1733.24915620023501 71846.6063 1731.41607 72068.0039 1716.95049 72084.4879 1715.87347620023501 72105.5621 1714.50048 72281.7632 1703.85965 72299.2126 1702.80661620023501 72443.6000 1694.09345 72461.6409 1693.00996 72495.9195 1690.95128620023501 72641.8390 1682.18799 72680.3303 1679.87720 72699.4272 1678.73074620023501 72747.0184 1675.87373 72807.8670 1672.22083 72961.6143 1662.99197620023501 72963.4694 1662.88062 73040.7852 1658.24484 73136.4013 1652.52231620023501 73148.7968 1651.78046 73229.7454 1646.93621 73300.7095 1642.68948620023501 73303.5856 1642.51742 73332.0736 1640.81320 73510.0575 1630.16607620023501 73597.7911 1624.93234 73644.4672 1622.14791 73762.9535 1615.08226620023501 73770.6708 1614.62205 73773.4585 1614.45583 73828.2667 1611.18967620023501 73974.5030 1603.03296 74024.4219 1600.24861 74092.8043 1596.45502620023501 74124.7247 1594.68421 74131.0200 1594.33498 74152.4043 1593.14872620023501 74257.8536 1587.29913 74267.3227 1586.77387 74332.9367 1583.14070620023501 74663.5284 1564.83658 74679.5908 1563.94724 74875.6148 1553.09383620023501 74917.9574 1550.74948 74959.9185 1548.43246 74989.4200 1546.80547620023501 75103.9232 1540.49221 75117.7220 1539.73178 75163.7591 1537.19475620023501 75169.2178 1536.89394 75174.4165 1536.60746 75231.3027 1533.47402620023501 75238.8016 1533.06097 75346.7130 1527.11777 75369.3620 1525.87038620023501 75384.7731 1525.06926 75435.9128 1522.41108 75460.5464 1521.13673620023501 75475.1687 1520.38029 75530.9553 1517.49935 75639.7317 1511.88199620023501 75808.6416 1503.15929 75977.5515 1494.47184 76023.0800 1492.13020620023501 76034.1172 1491.56255 76164.9132 1484.83561 76192.5536 1483.41405620023501 76287.7478 1478.51817 76304.0961 1477.67773 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47846.8677 4803.77835620023522 47892.8249 4791.70442 47928.4358 4782.34880 48000.0000 4763.54799620023522 48011.4310 4760.85224 48030.9879 4756.24288 48084.8315 4743.55274620023522 48086.9523 4743.05473 48119.0328 4735.52265 48204.6688 4715.41758620023522 48272.4951 4699.49375 48287.1183 4696.07121 48392.1147 4671.49906620023522 48398.1904 4670.07724 48439.2799 4660.46450 48545.4849 4635.61823620023522 48574.2681 4628.88573 48579.4775 4627.66810 48600.0000 4622.87129620023522 48627.9130 4615.81208 48629.3898 4615.43860 48684.4354 4601.51784620023522 48754.9934 4583.76283 48822.6997 4566.72569 48823.8569 4566.43450620023522 48846.2618 4560.81257 48955.6445 4533.36614 48977.8800 4527.78701620023522 49003.5310 4521.35310 49008.3896 4520.13452 49029.9082 4514.73797620023522 49044.4065 4511.10551 49052.3990 4509.10304 49174.2422 4478.57599620023522 49329.3605 4439.71347 49358.4627 4432.42632 49388.0469 4425.01936620023522 49454.1136 4408.48285 49470.9067 4404.27974 49479.8154 4402.05707620023522 49489.9161 4399.54553 49545.0200 4385.84416 49570.9702 4379.39186620023522 49600.0000 4372.17392 49603.1707 4371.48825 49627.9592 4366.13051620023522 49639.1059 4363.72133 49653.7577 4360.55477 49711.0363 4348.17566620023522 49858.6071 4316.28604 49949.1892 4296.71151 49968.3577 4292.57305620023522 49977.1183 4290.69384 49980.8072 4289.90266 49999.6890 4285.85312620023522 50142.0552 4255.34329 50201.9925 4242.49858 50213.9048 4239.94588620023522 50243.3535 4233.63533 50328.1399 4215.46650 50338.6782 4213.20827620023522 50634.1920 4149.88689 50649.0201 4146.70959 50699.0700 4136.02855620023522 50699.0713 4136.02827 50699.7517 4135.88344 50719.7224 4131.63262620023522 50727.1920 4130.04271 50767.6880 4121.94919 50783.3094 4118.83080620023522 50783.9401 4118.70490 50797.1873 4116.06084 50821.1998 4111.27115620023522 50910.9197 4093.37503 50919.6711 4091.63007 51012.4694 4073.12996620023522 51194.7567 4036.79109 51215.5275 4032.65392 51230.6378 4029.64436620023522 51286.1400 4018.59002 51359.9973 4003.94579 51372.2566 4001.51508620023522 51387.3251 3998.52739 51508.0367 3974.59338 51523.7248 3971.48953620023522 51544.0192 3967.47452 51582.7354 3959.83828 51730.8959 3930.61767620023522 51795.3480 3917.90653 51865.5054 3904.07040 51880.0000 3901.21332620023522 51941.7721 3889.25416 52073.9599 3863.66242 52109.7654 3856.73043620023522 52137.1549 3851.43097 52225.6320 3834.31220 52232.4664 3832.99398620023522 52255.0504 3828.64344 52278.1622 3824.19154 52300.2312 3819.94881620023522 52405.2760 3799.75516 52480.7500 3785.31813 52484.5968 3784.58250620023522 52556.3227 3770.86631 52567.5906 3768.71177 52622.5472 3758.20359620023522 52650.9543 3752.77201 52740.5091 3735.64900 52806.7384 3722.98586620023522 52818.6983 3720.70049 52827.5539 3719.00905 53010.6092 3684.04542620023522 53012.0955 3683.76203 53015.8674 3683.04286 53088.4400 3669.20565620023522 53088.4406 3669.20553 53088.4408 3669.20549 53154.3192 3657.37407620023522 53264.9888 3637.49857 53279.9886 3634.81473 53351.3462 3622.04813620023522 53358.7191 3620.72906 53373.1456 3618.15048 53404.5349 3612.53999620023522 53469.4187 3600.99338 53535.6635 3589.20477 53625.9534 3573.13720620023522 53667.1014 3565.81677 53706.5955 3558.79327 53752.7120 3550.61196620023522 53848.2819 3533.65764 53869.7156 3529.85573 53916.1305 3521.62867620023522 53973.1326 3511.52552 54013.2080 3504.42249 54022.9258 3502.80637620023522 54044.0754 3499.28907 54046.7135 3498.85034 54146.7883 3482.20757620023522 54168.8943 3478.53132 54196.0053 3474.02346 54219.3168 3470.14743620023522 54294.5041 3457.65869 54325.0300 3452.61675 54420.6255 3436.87374620023522 54541.2032 3417.02639 54541.7446 3416.93728 54648.4874 3399.36719620023522 54730.2594 3385.91071 54761.4994 3380.77008 54923.2008 3354.16200620023522 54954.0900 3349.07918 55004.7724 3340.74361 55027.1562 3337.06263620023522 55036.2931 3335.56008 55080.2576 3328.35150 55132.3141 3319.81614620023522 55152.1539 3316.56356 55191.8531 3310.07248 55430.6504 3271.02991620023522 55491.3704 3261.83446 55502.0516 3260.21693 55530.6681 3255.88335620023522 55536.3085 3255.02922 55559.1861 3251.56918 55589.9414 3246.91923620023522 55630.4431 3240.79569 55659.7065 3236.37423 55764.8399 3220.48963620023522 55830.9503 3210.50655 55871.1384 3204.43798 55887.7859 3201.92416620023522 55939.0163 3194.23729 55966.0145 3190.19669 55989.3521 3186.70394620023522 56037.0581 3179.56503 56044.7754 3178.41030 56072.0526 3174.32908620023522 56226.7566 3151.18224 56317.2249 3137.68145 56457.7148 3116.71671620023522 56483.1723 3112.91785 56534.9327 3105.19410 56686.8925 3082.51858620023522 56693.7489 3081.49779 56750.1821 3073.09605 56774.1200 3069.53269620023522 56794.7455 3066.46245 56876.0084 3054.37065 56883.6113 3053.23935620023522 56885.2900 3052.98957 56921.1222 3048.09933 56956.1878 3043.31768620023522 56987.3089 3039.07429 57089.8245 3025.09620 57113.3559 3021.88781620023522 57189.5792 3011.54578 57238.6395 3004.89172 57289.5166 2997.99138620023522 57397.1048 2983.43318 57542.2980 2963.85045 57579.6382 2958.81430620023522 57662.7980 2947.60321 57708.2044 2941.48186 57742.5611 2936.85039620023522 57772.7846 2932.77611 57774.6948 2932.51863 57800.4051 2929.05313620023522 57848.3864 2922.58571 57881.8583 2918.07420 58050.1385 2895.39293620023522 58075.0070 2892.05759 58106.5966 2887.82368 58126.6082 2885.14200620023522 58210.3187 2873.93594 58235.8968 2870.70840 58376.4394 2853.01020620023522 58390.8283 2851.19827 58443.6956 2844.54103 58518.4262 2835.13332620023522 58521.3753 2834.76208 58536.9677 2832.79928 58566.9411 2829.02622620023522 58592.8535 2825.76435 58722.3254 2809.46697 58752.8233 2805.62803620023522 58777.3621 2802.55136 58973.4919 2777.97329 59076.7950 2765.02799620023522 59103.8282 2761.64606 59145.1413 2756.48072 59159.5974 2754.67350620023522 59196.0430 2750.11729 59224.3055 2746.58412 59230.1017 2745.90372620023522 59234.9617 2745.33329 59314.1749 2736.04486 59323.1911 2734.98768620023522 59350.4833 2731.78772 59396.4553 2726.39758 59402.2981 2725.71253620023522 59484.2009 2716.11252 59566.2100 2706.56052 59723.7489 2688.21149620023522 59805.7068 2678.66561 59822.5354 2676.70556 59936.2130 2663.49417620023522 59965.3194 2660.11192 60000.0000 2656.09568 60001.0058 2655.97925620023522 60018.9867 2653.89776 60039.3856 2651.53760 60094.5719 2645.15274620023522 60095.3737 2645.05997 60172.9942 2636.07996 60222.0937 2630.39961620023522 60241.1164 2628.20146 60347.1635 2615.94738 60386.1678 2611.44072620023522 60723.9898 2572.40837 60741.4434 2570.39176 60778.4998 2566.11035620023522 60791.2505 2564.74446 60800.6252 2563.74022 60831.3670 2560.44710620023522 60861.9703 2557.17101 60869.7631 2556.33683 60929.7363 2549.91932620023522 60953.6900 2547.35712 61046.7623 2537.44747 61070.8347 2534.89214620023522 61076.1006 2534.33316 61142.7035 2527.26331 61150.3039 2526.45666620023522 61165.1263 2524.88741 61198.7637 2521.32626 61429.3894 2496.91256620023522 61470.0823 2492.60500 61485.1486 2491.01016 61566.7237 2482.37501620023522 61613.9349 2477.37751 61659.5000 2472.55445 61814.4441 2456.15370620023522 61885.5206 2448.63288 61904.5233 2446.62216 61989.3229 2437.64949620023522 62009.0116 2435.56898 62062.2724 2429.95486 62103.2665 2425.63374620023522 62104.3913 2425.51518 62165.4345 2419.08091 62279.5807 2407.07023620023522 62283.7862 2406.62803 62327.3955 2402.06613 62351.2592 2399.56981620023522 62373.4800 2397.24544 62498.7498 2384.88393 62655.5211 2369.41568620023522 62685.1099 2366.49718 62704.9993 2364.53540 62763.1335 2358.80136620023522 62863.4137 2348.91054 62937.8261 2341.58718 62938.1309 2341.55724620023522 63073.2575 2328.28350 63073.9552 2328.21497 63095.7339 2326.07570620023522 63186.5987 2317.15033 63273.3435 2308.63047 63315.0688 2304.53231620023522 63348.6951 2301.22969 63368.7261 2299.26428 63388.3223 2297.34156620023522 63409.0650 2295.30741 63454.4213 2290.85963 63469.5625 2289.37547620023522 63471.4081 2289.19457 63620.6671 2274.63002 63782.0540 2258.92392620023522 63804.3219 2256.75689 63810.8437 2256.12222 63826.3454 2254.61366620023522 63826.3500 2254.61322 63958.5218 2241.75591 64010.3183 2236.71792620023522 64041.1498 2233.91632 64114.4447 2227.25642 64232.8128 2216.52533620023522 64238.8612 2215.97730 64316.1872 2208.97105 64379.8550 2203.20239620023522 64387.7516 2202.48692 64475.6045 2194.53550 64520.6199 2190.46137620023522 64529.1390 2189.69035 64575.6365 2185.50660 64798.1354 2165.48696620023522 64830.9939 2162.53047 64891.4547 2157.09043 64967.8761 2150.21490620023522 64979.9172 2149.13481 64993.0102 2147.96099 65125.3366 2136.09765620023522 65154.6724 2133.46835 65217.2936 2127.85593 65222.2013 2127.41608620023522 65266.0749 2123.48398 65283.8001 2121.97447 65313.0600 2119.48277620023522 65431.3855 2109.42816 65520.6904 2101.84079 65524.8813 2101.48497620023522 65699.2037 2086.68447 65722.6176 2084.69660 65732.0338 2083.89715620023522 65736.9951 2083.47593 65819.3390 2076.48484 65906.1272 2069.11665620023522 65909.1324 2068.86154 65978.3785 2062.98315 65996.9715 2061.40677620023522 66073.5436 2054.92910 66224.0331 2042.19851 66283.6222 2037.42431620023522 66344.7803 2032.52564 66422.7587 2026.28265 66455.9754 2023.64124620023522 66469.7001 2022.54985 66470.6749 2022.47234 66540.1263 2016.95005620023522 66543.4724 2016.68399 66581.4954 2013.66069 66601.2950 2012.08638620023522 66642.3089 2008.82528 66698.3500 2004.37997 66747.9380 2000.44659620023522 66779.4765 1997.94527 66834.3900 1993.60044 66871.7875 1990.64300620023522 67164.8963 1967.46531 67239.3872 1961.57495 67250.9110 1960.66371620023522 67314.0086 1955.67432 67435.7213 1946.05292 67562.5320 1936.02851620023522 67585.0597 1934.24839 67602.9595 1932.83399 67608.3000 1932.41201620023522 67687.3985 1926.16819 67709.4285 1924.53932 67748.1182 1921.67871620023522 67789.9401 1918.58668 67851.9743 1914.00062 67858.8743 1913.49077620023522 67879.0732 1911.99827 67879.3521 1911.97766 67921.6337 1908.86928620023522 67955.8113 1906.35699 67970.6643 1905.26771 68227.4880 1886.48714620023522 68364.2556 1876.48583 68532.6084 1864.17487 68646.3861 1855.85486620023522 68662.1540 1854.70223 68681.9873 1853.25255 68820.0260 1843.16324620023522 68965.5349 1832.53268 68968.9570 1832.28270 68978.2100 1831.60680620023522 68992.5083 1830.56235 68992.7209 1830.54682 69155.8764 1818.68977620023522 69165.2611 1818.00798 69174.0182 1817.37181 69183.0992 1816.71211620023522 69183.1000 1816.71205 69223.9275 1813.87037 69252.9495 1811.85039620023522 69609.0121 1787.12187 69689.5123 1781.53357 69709.2123 1780.16600620023522 69740.1143 1778.02086 69762.4640 1776.47005 69767.5838 1776.11479620023522 69839.5540 1771.12095 69892.1011 1767.47483 70133.4663 1750.72920620023522 70185.9234 1747.08994 70327.9160 1737.83939 70363.0184 1735.55281620023522 70374.6114 1734.79764 70481.4982 1727.83509 70481.6560 1727.82481620023522 70528.5933 1724.76738 70533.1588 1724.46999 70570.2761 1722.05729620023522 70591.1100 1720.70340 70613.8659 1719.22616 70641.9240 1717.40576620023522 70686.1845 1714.54347 70697.1080 1713.83708 70829.8550 1705.30777620023522 70945.5772 1697.87237 71000.3406 1694.35373 71243.0448 1678.75961620023522 71295.4807 1675.39066 71326.2029 1673.41682 71455.8948 1665.08840620023522 71543.6469 1659.45323 71603.0720 1655.63767 71614.5277 1654.90213620023522 71645.7998 1652.89427 71650.0275 1652.62283 71774.0406 1644.66266620023522 71795.9253 1643.25794 71818.5747 1641.80689 71846.6063 1640.01121620023522 72068.0039 1625.84098 72084.4879 1624.78595 72105.5621 1623.44107620023522 72281.7632 1613.03530 72299.2126 1612.00554 72443.6000 1603.48499620023522 72461.6409 1602.42556 72495.9195 1600.41262 72641.8390 1591.84399620023522 72680.3303 1589.58454 72699.4272 1588.46356 72747.0184 1585.67003620023522 72807.8670 1582.09832 72961.6143 1573.07456 72963.4694 1572.96568620023522 73040.7852 1568.43304 73136.4013 1562.83807 73148.7968 1562.11275620023522 73229.7454 1557.37649 73300.7095 1553.22442 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