22-Ti 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 22000.0000 47.4885000 -1 0 0 32200 1451 0.0 0.0 0 0 0 62200 1451 0.0 1.0000E+11 0 0 3 62200 1451 0.0 0.0 1 0 161 222200 1451 22-Ti- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 2200 1451 NDS-IAEA-225 Dist-Jan25 2200 1451 ---- ENDF/B-VI MATERIAL 2200 2200 1451 ----- PHOTO-ATOMIC INTERACTION DATA 2200 1451 ------ ENDF/B-6 2200 1451 =================================================================2200 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 2200 1451 ENDF-6 Format. 2200 1451 =================================================================2200 1451 Contents 2200 1451 =================================================================2200 1451 MF/MT Description 2200 1451 =================================================================2200 1451 23/501 Total cross sections 2200 1451 23/502 Coherent scattering cross sections 2200 1451 23/504 Incoherent scattering cross sections 2200 1451 23/515 Pair production cross sections, Electron field 2200 1451 23/516 Pair production cross sections, Total 2200 1451 23/517 Pair production cross sections, Nuclear field 2200 1451 23/522 Total photoionization cross section 2200 1451 23/534 K (1S1/2) Photoionization subshell cross section 2200 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 2200 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 2200 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 2200 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 2200 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 2200 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 2200 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 2200 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 2200 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 2200 1451 =================================================================2200 1451 27/502 Coherent scattering form factors 2200 1451 27/504 Incoherent scattering functions 2200 1451 27/505 Imaginary anomalous scattering factor 2200 1451 27/506 Real anomalous scattering factor 2200 1451 =================================================================2200 1451 Warning 2200 1451 =================================================================2200 1451 MF/MT combinations used to define photoionization subshell cross2200 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 2200 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 2200 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 2200 1451 If you are not prepared to use this data you need merely delete 2200 1451 it and all of the remaining data will still be consistent and 2200 1451 equivalent to the types of data in earlier versions of ENDF/B. 2200 1451 However, this will limit the range of problems to which this 2200 1451 data can be applied (see: ref. 1 for details). 2200 1451 =================================================================2200 1451 Definition of new types of data 2200 1451 =================================================================2200 1451 1) The total photoionization cross section is equal to the sum 2200 1451 of the photoionization subshell cross sections. 2200 1451 2200 1451 For each subshell on the second line of a section the C1 and 2200 1451 C2 fields are defined as, 2200 1451 2200 1451 EPE = The photoionization edge energy (similar to Q-value) 2200 1451 EFL = The fluorescence yield (eV/photoionization) 2200 1451 2200 1451 2) The angular distribution of coherently scattered photons is, 2200 1451 2200 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2200 1451 2200 1451 S(E,MU) = Angular distributions (barns per unit cosine) 2200 1451 T = The Thomson cross section 2200 1451 MU = The cosine of the scattering angle 2200 1451 FF(M) = The atomic form factor 2200 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 2200 1451 F1(E) = The real anomalous scattering factor 2200 1451 F2(E) = The imaginary anomalous scattering factor 2200 1451 2200 1451 F1(E) and F2(E) are isotropic. 2200 1451 2200 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 2200 1451 using only form factors (the older ENDF/B convention). 2200 1451 =================================================================2200 1451 Differences between EPDL97 and the data base presented here 2200 1451 =================================================================2200 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 2200 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 2200 1451 2) Type of Data - EPDL97 - Photon interaction including 2200 1451 photoexcitation 2200 1451 Here - Photon interaction - ENDF/B-VI has 2200 1451 no provision for photoexcitation 2200 1451 3) Secondary E - EPDL97 - Average energy of each secondary 2200 1451 (photons, electrons, positrons) 2200 1451 HERE - No secondary energy data 2200 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 2200 1451 interpolable - the total cross 2200 1451 section is not included 2200 1451 - Form factors and scattering functions 2200 1451 are Log X vs. Log y, except first 2200 1451 interval. 2200 1451 - Anomalous scattering factors linearly 2200 1451 interpolable (they can be negative) 2200 1451 Here - Up through ENDF/B-V photon interaction2200 1451 cross sections were Log X vs. Log Y. 2200 1451 - For the first two Mods. of ENDF/B-VI 2200 1451 in order to consistently define the 2200 1451 total cross sections at ALL energies 2200 1451 all cross sections were linearized. 2200 1451 This was NOT a good idea. 2200 1451 - Starting with Mod. 3, cross sections 2200 1451 are left in Log X vs. Log. Y form so 2200 1451 that they are IDENTICAL to what's in 2200 1451 EPDL97. 2200 1451 The total is defined ONLY at the 2200 1451 energies tabulated in any other cross 2200 1451 section. 2200 1451 WARNING - As a result the total cross section 2200 1451 MUST NOT be interpolated to define the2200 1451 total between tabulated energies. The 2200 1451 ONLY consist way to define the total 2200 1451 between tabulated energies is to 2200 1451 interpolate all of the partials and 2200 1451 add them up. 2200 1451 =================================================================2200 1451 References 2200 1451 =================================================================2200 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 2200 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 2200 1451 graphs of photon interaction cross sections from 10 eV to 100 2200 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 2200 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 2200 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 2200 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 2200 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 2200 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 2200 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 2200 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria 2200 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 2200 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria 2200 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 2200 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria. 2200 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 2200 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria. 2200 1451 2200 1451 These are the primary references to the contents of this library2200 1451 and they contain a complete list of references to the sources 2200 1451 of data used in this library, methods of evaluation, accuracy 2200 1451 of the data, etc. 2200 1451 =================================================================2200 1451 History 2200 1451 =================================================================2200 1451 1) Oct. 1989 - Initial Release 2200 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 2200 1451 3) July 1997 - Complete re-evaluation 2200 1451 4) Sept.2014 - Updated based on recently published data. 2200 1451 - Insured Standard C, C++, FORTRAN format 2200 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 2200 1451 - New Photoelectric and Coherent Cross Sections 2200 1451 - New Anomalous Scattering Factors (see, ref. 4) 2200 1451 - ALL Cross Sections Lin-Lin Interpolable 2200 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.2200 1451 =================================================================2200 1451 ***************** Program FIXUP (Version 2023-2) ****************2200 1451 **************** Program DICTIN (VERSION 2023-1) ****************2200 1451 1 451 187 32200 1451 23 501 2685 32200 1451 23 502 150 32200 1451 23 504 133 32200 1451 23 515 73 32200 1451 23 516 152 32200 1451 23 517 101 32200 1451 23 522 2297 32200 1451 23 534 185 32200 1451 23 535 210 32200 1451 23 536 251 32200 1451 23 537 251 32200 1451 23 538 228 32200 1451 23 539 268 32200 1451 23 540 268 32200 1451 23 541 322 32200 1451 23 542 320 32200 1451 23 543 303 32200 1451 27 502 394 32200 1451 27 504 149 32200 1451 27 505 136 32200 1451 27 506 136 32200 1451 2200 1 0 2200 0 0 22000.0000 47.4885000 0 0 0 0220023501 0.0 0.0 0 0 1 8046220023501 8046 2 220023501 1.00000000 2.40708E-5 1.05924839 3.53198E-5 1.10597719 4.41986E-5220023501 1.14237171 5.11179E-5 1.19922131 6.19335E-5 1.25890000 7.32968E-5220023501 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8070.45850 15724.4049 8071.66036 15718.1105220023501 8092.92411 15606.7618 8100.53358 15566.9797 8154.66704 15283.9721220023501 8159.80294 15257.1228 8177.77609 15163.1632 8184.05870 15130.3191220023501 8186.01011 15120.9282 8196.37503 15071.1036 8202.89746 15039.7667220023501 8222.42600 14946.0801 8249.42466 14816.5703 8273.24279 14702.3468220023501 8281.43224 14663.2847 8283.71404 14652.4014 8285.99583 14641.5192220023501 8295.02305 14598.4670 8300.34933 14573.0652 8313.88875 14508.6084220023501 8321.78264 14471.0577 8377.70335 14205.1893 8379.58758 14196.2320220023501 8386.24892 14166.7828 8398.01451 14114.7782 8411.10701 14056.9087220023501 8413.95100 14044.3488 8452.92125 13872.2447 8473.68419 13780.9215220023501 8490.35434 13707.7459 8493.02651 13696.0185 8497.27242 13677.3842220023501 8508.03146 13630.1656 8513.50091 13606.1628 8515.97459 13595.3140220023501 8554.50362 13426.3561 8559.07007 13407.5630 8585.08497 13300.6088220023501 8590.23635 13279.4301 8606.05666 13214.6714 8638.83270 13080.7067220023501 8643.30163 13062.4427 8648.94060 13039.3968 8682.04060 12904.1525220023501 8706.69130 12803.4354 8709.63600 12791.4221 8710.54770 12787.7076220023501 8740.94617 12670.5674 8747.78664 12644.2077 8776.97194 12531.7555220023501 8800.40274 12441.4757 8810.48900 12402.8132 8814.87902 12385.9886220023501 8849.41946 12253.6197 8859.69623 12216.9408 8859.85399 12216.3778220023501 8886.89411 12120.0544 8895.62814 12088.9944 8912.51929 12028.9262220023501 8941.77296 11924.8937 8949.81629 11896.2936 8976.87158 11800.0916220023501 9000.76747 11715.1428 9015.71100 11662.0192 9017.95725 11654.0750220023501 9044.95177 11558.6100 9086.71808 11411.1544 9090.08053 11399.2833220023501 9093.78325 11386.2120 9097.79375 11372.0543 9125.03180 11283.2527220023501 9175.96024 11117.2487 9185.55653 11085.9690 9185.96969 11084.6242220023501 9199.19868 11041.7342 9202.92325 11029.6827 9225.71400 10955.9465220023501 9256.67656 10855.7752 9288.63861 10752.3873 9310.37751 10686.1364220023501 9321.56088 10652.0781 9325.82977 10639.0775 9337.58151 10603.2884220023501 9362.81114 10526.8372 9373.42274 10494.7369 9374.81926 10490.5133220023501 9413.47544 10373.6161 9420.67479 10351.8460 9420.98647 10350.9035220023501 9432.27552 10316.7956 9434.39489 10310.3923 9436.89465 10303.3064220023501 9508.35734 10100.8881 9510.46785 10094.9190 9549.92600 9983.32093220023501 9580.89874 9895.73050 9581.28269 9894.64474 9600.81795 9839.41415220023501 9608.94819 9816.42814 9617.72348 9791.75525 9629.90120 9757.54826220023501 9637.56506 9736.03193 9657.32899 9680.61348 9681.14306 9618.77396220023501 9729.83496 9492.33264 9730.27278 9491.19578 9740.19702 9465.42907220023501 9752.06130 9434.63075 9767.96772 9393.40594 9772.37200 9381.99947220023501 9777.24222 9369.38629 9817.63624 9264.83124 9832.99457 9225.24389220023501 9861.11009 9152.77386 9878.42033 9108.16316 9882.18917 9098.45039220023501 9885.53100 9089.84760 9890.86785 9076.92983 9955.71249 8919.98994220023501 9967.81724 8890.74572 9977.12126 8868.26787 9978.88560 8864.02434220023501 9996.06601 8822.70263 10000.0000 8813.24125 10002.4915 8807.24889220023501 10033.5614 8732.57323 10045.2999 8704.36238 10056.0306 8678.57896220023501 10073.9996 8635.44084 10087.3027 8603.50413 10111.2370 8546.04516220023501 10159.5627 8430.17528 10160.1059 8428.98012 10163.9922 8420.43029220023501 10193.0268 8356.55444 10200.5091 8340.09345 10221.2197 8294.53221220023501 10229.4727 8276.47495 10232.9300 8268.92093 10286.4439 8152.17584220023501 10334.9006 8046.46348 10356.5808 7999.16633 10385.4112 7936.27305220023501 10405.5647 7892.31324 10409.4236 7884.50495 10426.1747 7850.66640220023501 10441.1897 7820.34116 10451.9887 7798.54389 10456.2271 7789.98889220023501 10471.2900 7759.61629 10486.8012 7728.46253 10557.6630 7586.13890220023501 10577.8933 7545.51041 10592.5400 7516.09546 10595.1770 7510.80722220023501 10598.2550 7504.63492 10621.5446 7457.94018 10625.6978 7449.61318220023501 10626.8909 7447.37324 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11326.1417 6251.78140220023501 11345.6464 6221.76904 11429.3992 6093.58989 11431.5598 6090.51326220023501 11434.0971 6086.90040 11448.0621 6067.01568 11453.1711 6059.74099220023501 11457.6753 6053.32853 11475.0683 6028.60224 11487.2552 6011.29089220023501 11518.7759 5966.54289 11536.2396 5941.75307 11577.6911 5882.91246220023501 11614.4900 5830.88795 11641.7314 5792.37539 11643.0419 5790.65986220023501 11667.0977 5759.19621 11696.9443 5720.16633 11697.8366 5719.00137220023501 11730.2225 5676.72253 11744.3535 5658.27493 11748.9791 5652.23669220023501 11751.8992 5648.42481 11754.8337 5644.59691 11856.7966 5512.27221220023501 11876.4767 5486.73367 11879.6693 5482.59069 11885.0200 5475.65502220023501 11899.6238 5456.72848 11902.6313 5452.83445 11967.6486 5368.65181220023501 11984.5528 5348.69831 11997.2619 5333.69731 11997.6575 5333.23036220023501 12018.5839 5308.53244 12022.6400 5303.75128 12025.6425 5300.21401220023501 12055.5665 5265.15190 12111.6135 5199.48136 12126.9034 5181.56611220023501 12161.8600 5140.61534 12167.9207 5133.52137 12190.9959 5106.51331220023501 12219.8078 5072.79083 12230.0074 5060.85285 12248.2027 5039.58626220023501 12267.3253 5017.23796 12302.6900 4975.93225 12310.7440 4967.19858220023501 12342.5861 4932.66940 12425.2838 4843.00836 12427.2493 4840.87737220023501 12439.5393 4827.56429 12445.1500 4821.48696 12448.2463 4818.13641220023501 12485.5066 4777.81867 12523.1404 4737.11814 12534.4529 4724.88380220023501 12553.0738 4704.74832 12585.0007 4670.37412 12589.0000 4666.06857220023501 12589.2581 4665.79069 12607.9075 4645.73762 12611.3472 4642.03903220023501 12664.2113 4589.53207 12679.5960 4574.26310 12684.8390 4569.06310220023501 12704.7815 4549.28415 12735.0300 4519.28747 12769.9039 4484.70531220023501 12776.3363 4478.32672 12806.3881 4448.64165 12807.4817 4447.56149220023501 12855.7166 4399.91939 12863.9734 4391.76530 12869.6150 4386.20258220023501 12875.2565 4380.64417 12887.7679 4368.32484 12913.3572 4344.81794220023501 12974.9458 4288.24129 12993.6725 4271.12436 12998.2949 4266.89931220023501 13026.5407 4241.08277 13031.6700 4236.39819 13040.2001 4228.60832220023501 13062.8041 4207.96586 13109.2625 4165.56269 13124.1804 4151.96537220023501 13134.6016 4142.46829 13182.5700 4101.32984 13229.1480 4061.38383220023501 13233.1123 4057.98565 13265.1806 4030.49796 13292.9651 4006.68218220023501 13316.0397 3986.91471 13327.7240 3976.90605 13329.2010 3975.64234220023501 13329.9704 3974.98414 13354.4216 3954.18172 13354.4560 3954.15245220023501 13376.4356 3936.42184 13436.4596 3888.03170 13442.0547 3883.52105220023501 13485.0656 3848.84833 13496.3532 3839.75018 13517.5665 3822.66188220023501 13521.8623 3819.20141 13549.8453 3796.68270 13566.3686 3784.25784220023501 13569.9489 3781.56560 13602.5994 3757.01601 13638.1455 3730.40548220023501 13672.3246 3704.83620 13694.0516 3688.58230 13722.2863 3667.47907220023501 13763.5908 3636.61214 13796.0879 3612.32700 13807.2850 3603.96002220023501 13810.7241 3601.39201 13815.6735 3597.71243 13819.0190 3595.22539220023501 13837.7828 3581.27642 13846.5150 3574.78943 13898.6804 3536.07904220023501 13957.9741 3495.30205 13963.6800 3491.37803 13997.0487 3468.43355220023501 14089.5133 3404.92141 14102.6869 3395.87272 14117.4217 3385.75211220023501 14125.2633 3380.37269 14125.3800 3380.29263 14128.8971 3377.88114220023501 14142.7313 3368.44597 14145.7146 3366.41300 14166.1878 3352.46150220023501 14175.2893 3346.60357 14268.3879 3286.68677 14318.5267 3254.42420220023501 14321.8531 3252.28378 14324.0744 3250.85452 14333.1107 3245.04556220023501 14339.4994 3240.93890 14370.1917 3221.20985 14412.8587 3195.39948220023501 14454.4000 3170.28636 14481.0467 3154.25465 14482.4549 3153.40825220023501 14540.4568 3118.54636 14561.8731 3105.67619 14613.5379 3074.62812220023501 14632.2992 3063.35437 14637.8416 3060.02540 14657.0051 3048.51511220023501 14669.1979 3041.19207 14681.7192 3033.67576 14719.7362 3012.45956220023501 14748.5754 2996.38436 14759.2771 2990.44747 14782.7693 2977.41492220023501 14785.0305 2976.16067 14801.0677 2967.26510 14827.4530 2952.63880220023501 14897.2319 2913.96117 14924.3640 2898.93256 14934.1995 2893.48462220023501 14962.3600 2877.88639 14998.1029 2858.10372 15000.0000 2857.05385220023501 15010.8861 2851.39849 15056.1814 2827.96558 15088.9564 2811.00989220023501 15122.7729 2793.51539 15135.6159 2786.87628 15154.2111 2777.27116220023501 15189.0913 2759.25601 15225.6837 2740.35845 15244.2320 2730.77947220023501 15299.8649 2702.22607 15304.8540 2699.66807 15306.4852 2698.83237220023501 15322.5075 2690.62377 15358.2002 2672.33846 15366.6733 2667.99824220023501 15409.9956 2647.48028 15467.9443 2620.05331 15488.1700 2610.48054220023501 15528.9121 2591.19865 15610.3845 2552.64048 15612.6510 2551.56787220023501 15617.8735 2549.09947 15652.1660 2532.90058 15658.6837 2529.82178220023501 15661.3497 2528.56261 15665.7869 2526.47866 15667.5143 2525.66782220023501 15694.8577 2512.83374 15726.1854 2499.10466 15791.7707 2470.36251220023501 15849.0000 2445.28231 15856.8323 2441.84949 15866.7103 2437.52277220023501 15887.8981 2428.24252 15891.5799 2426.63005 15893.0849 2425.97166220023501 15900.8543 2422.57438 15981.6610 2387.24053 15987.7635 2384.58336220023501 16003.5158 2378.12367 16009.4011 2375.71023 16055.2803 2356.89785220023501 16062.0082 2354.13913 16094.4455 2340.83997 16094.6743 2340.74617220023501 16139.7274 2322.28323 16218.1000 2290.19656 16222.1432 2288.54122220023501 16226.1864 2286.88711 16248.5368 2277.78445 16273.1614 2268.26830220023501 16314.6664 2252.23730 16326.7572 2247.56768 16329.1431 2246.64634220023501 16360.0330 2234.71786 16364.6315 2232.94358 16480.2002 2188.35264220023501 16500.8757 2180.89095 16537.6016 2167.63750 16555.2658 2161.26293220023501 16570.9053 2155.62505 16586.5447 2149.99577 16590.2899 2148.64780220023501 16595.8700 2146.64062 16600.0072 2145.15351 16652.3143 2126.45860220023501 16695.6899 2110.95587 16775.9657 2082.26477 16812.4196 2069.23747220023501 16828.1522 2063.61545 16832.1854 2062.17427 16893.5870 2040.24290220023501 16902.5460 2037.27338 16926.6083 2029.30731 16935.6604 2026.31051220023501 16958.0156 2018.90960 16982.4400 2010.82939 17015.9189 1999.80408220023501 17042.4440 1991.07280 17049.9316 1988.60822 17118.9293 1965.89835220023501 17167.7785 1949.82254 17179.0800 1946.10644 17187.8610 1943.21912220023501 17210.4178 1935.80211 17232.1866 1929.03428 17281.3697 1913.74445220023501 17295.2862 1909.42080 17340.5317 1895.37137 17353.0201 1891.49353220023501 17369.4307 1886.42374 17412.5057 1873.12829 17424.7691 1869.34329220023501 17436.4463 1865.73968 17451.9344 1860.96001 17498.3848 1847.45936220023501 17569.3334 1826.83839 17569.3583 1826.83116 17579.2400 1823.96083220023501 17652.6753 1802.63881 17672.7592 1796.80743 17676.3586 1795.76234220023501 17683.9052 1793.57349 17696.8578 1789.83335 17782.7900 1765.02264220023501 17783.0003 1764.96193 17795.5982 1761.32460 17820.5787 1754.11485220023501 17825.2825 1752.85149 17826.5154 1752.52058 17897.2105 1733.54738220023501 17938.4185 1722.48795 17955.4949 1717.90543 17978.6012 1711.70475220023501 17988.7100 1709.00270 18000.8517 1705.75975 18011.3606 1702.95394220023501 18021.8694 1700.15340 18110.2218 1676.60926 18152.4873 1665.34635220023501 18170.8362 1660.45731 18195.4265 1653.90560 18197.0100 1653.48390220023501 18210.1082 1650.21592 18240.4859 1642.64234 18244.1044 1641.74479220023501 18282.1527 1632.30702 18312.2219 1624.85428 18318.9216 1623.19374220023501 18420.1431 1598.10734 18503.6428 1577.42674 18517.3165 1574.04014220023501 18518.8876 1573.65104 18533.2730 1570.08833 18565.9407 1561.99886220023501 18619.2505 1548.80546 18620.8700 1548.40501 18632.4737 1545.53587220023501 18647.6899 1541.77556 18684.9167 1533.28225 18707.9967 1528.01654220023501 18780.2544 1511.62526 18824.0951 1501.68023 18825.9021 1501.27036220023501 18850.0484 1495.79367 18856.4736 1494.33642 18896.3245 1485.29813220023501 18899.6126 1484.55277 18998.3958 1462.17332 19028.6350 1455.32990220023501 19045.2026 1451.58050 19051.1816 1450.22753 19066.4766 1446.99988220023501 19067.4641 1446.79239 19100.1299 1439.92920 19182.3995 1422.64500220023501 19190.2296 1420.99996 19264.4744 1405.40870 19307.5195 1396.36932220023501 19336.4759 1390.29291 19339.8373 1389.58819 19381.7429 1380.84076220023501 19411.3923 1374.65245 19451.1440 1366.84870 19472.2026 1362.71626220023501 19481.9002 1360.81325 19488.2278 1359.57165 19589.6754 1339.66564220023501 19637.2275 1330.35732 19682.3525 1321.53122 19700.3564 1318.01147220023501 19724.2300 1313.34419 19729.3696 1312.34008 19732.1592 1311.79508220023501 19757.2443 1307.14948 19851.9145 1289.71340 19901.3235 1280.61400220023501 19904.2199 1280.08059 19938.2739 1273.81345 19953.0000 1271.10362220023501 19957.1752 1270.33508 19965.0513 1268.88531 20017.1753 1259.29115220023501 20091.5916 1246.49935 20093.5999 1246.15413 20140.8144 1238.04269220023501 20154.6405 1235.66951 20158.6619 1234.97976 20181.4372 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14454.4000 3106.86606 14481.0467 3090.95127220023522 14482.4549 3090.11106 14540.4568 3055.50367 14561.8731 3042.72747220023522 14613.5379 3011.90611 14632.2992 3000.71468 14637.8416 2997.41003220023522 14657.0051 2985.98383 14669.1979 2978.71429 14681.7192 2971.25292220023522 14719.7362 2950.20354 14748.5754 2934.25488 14759.2771 2928.36495220023522 14782.7693 2915.43548 14785.0305 2914.19115 14801.0677 2905.36595220023522 14827.4530 2890.85543 14897.2319 2852.48398 14924.3640 2837.57442220023522 14934.1995 2832.16965 14962.3600 2816.69498 14998.1029 2797.06915220023522 15000.0000 2796.02760 15010.8861 2790.42001 15056.1814 2767.18585220023522 15088.9564 2750.37397 15122.7729 2733.02786 15135.6159 2726.44510220023522 15154.2111 2716.92158 15189.0913 2699.05948 15225.6837 2680.32248220023522 15244.2320 2670.82489 15299.8649 2642.48213 15304.8540 2639.94302220023522 15306.4852 2639.11350 15322.5075 2630.96557 15358.2002 2612.81540220023522 15366.6733 2608.50726 15409.9956 2588.15333 15467.9443 2560.94577220023522 15488.1700 2551.44957 15528.9121 2532.32195 15610.3845 2494.07226220023522 15612.6510 2493.00823 15617.8735 2490.55960 15652.1660 2474.49055220023522 15658.6837 2471.43643 15661.3497 2470.18735 15665.7869 2468.12020220023522 15667.5143 2467.31590 15694.8577 2454.58535 15726.1854 2440.97489220023522 15791.7707 2412.48106 15856.8323 2384.21476 15866.7103 2379.92592220023522 15887.8981 2370.72692 15891.5799 2369.12858 15893.0849 2368.47595220023522 15900.8543 2365.10847 15981.6610 2330.08450 15987.7635 2327.45073220023522 16003.5158 2321.05145 16009.4011 2318.66058 16055.2803 2300.02414220023522 16062.0082 2297.29122 16094.4455 2284.11646 16094.6743 2284.02353220023522 16139.7274 2265.73337 16218.1000 2233.94724 16222.1432 2232.30741220023522 16226.1864 2230.66880 16248.5368 2221.65185 16273.1614 2212.23013220023522 16314.6664 2196.35829 16326.7572 2191.73504 16329.1431 2190.82285220023522 16360.0330 2179.01284 16364.6315 2177.25619 16480.2002 2133.10844220023522 16500.8757 2125.72603 16537.6016 2112.61342 16555.2658 2106.30659220023522 16586.5447 2095.15081 16590.2899 2093.81516 16595.8700 2091.82632220023522 16600.0072 2090.35281 16652.3143 2071.82985 16695.6899 2056.46970220023522 16775.9657 2028.04249 16812.4196 2015.13503 16828.1522 2009.56472220023522 16832.1854 2008.13680 16893.5870 1986.40728 16902.5460 1983.46721220023522 16926.6083 1975.58023 16935.6604 1972.61320 16958.0156 1965.28577220023522 16982.4400 1957.28585 17015.9189 1946.37059 17042.4440 1937.72650220023522 17049.9316 1935.28654 17118.9293 1912.80349 17167.7785 1896.88826220023522 17179.0800 1893.20931 17187.8610 1890.35085 17210.4178 1883.00799220023522 17232.1866 1876.31173 17281.3697 1861.18357 17295.2862 1856.90567220023522 17340.5317 1843.00498 17353.0201 1839.16819 17369.4307 1834.15234220023522 17412.5057 1820.99849 17424.7691 1817.25380 17436.4463 1813.68858220023522 17451.9344 1808.95982 17498.3848 1795.61187 17569.3334 1775.22413220023522 17569.3583 1775.21697 17579.2400 1772.37913 17652.6753 1751.29851220023522 17672.7592 1745.53315 17676.3586 1744.49989 17683.9052 1742.33585220023522 17696.8578 1738.63829 17782.7900 1714.11006 17795.5982 1710.45429220023522 17820.5787 1703.32698 17825.2825 1702.07914 17826.5154 1701.75230220023522 17897.2105 1683.01241 17938.4185 1672.08898 17955.4949 1667.56281220023522 17978.6012 1661.43839 17988.7100 1658.76970 18000.8517 1655.56683220023522 18021.8694 1650.02459 18110.2218 1626.72789 18152.4873 1615.58335220023522 18170.8362 1610.74570 18195.4265 1604.26285 18197.0100 1603.84559220023522 18210.1082 1600.61429 18240.4859 1593.12579 18244.1044 1592.23837220023522 18282.1527 1582.90716 18312.2219 1575.53863 18318.9216 1573.89685220023522 18420.1431 1549.09394 18503.6428 1528.64719 18517.3165 1525.29889220023522 18518.8876 1524.91419 18533.2730 1521.39176 18565.9407 1513.39378220023522 18619.2505 1500.34969 18620.8700 1499.95377 18632.4737 1497.11713220023522 18647.6899 1493.39943 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19957.1752 1225.45811220023522 19965.0513 1224.02724 20017.1753 1214.55811 20091.5916 1201.94481220023522 20093.5999 1201.60441 20140.8144 1193.60622 20154.6405 1191.26621220023522 20158.6619 1190.58611 20181.4372 1186.73433 20183.6600 1186.35843220023522 20251.2960 1174.97288 20271.6198 1171.55182 20336.6307 1160.60868220023522 20345.8866 1159.05065 20407.6647 1148.65305 20474.2534 1137.45021220023522 20525.8954 1128.76242 20538.9473 1126.73017 20561.6419 1123.19882220023522 20613.5317 1115.13287 20624.0966 1113.49062 20646.4306 1110.03775220023522 20651.8650 1109.19794 20688.3764 1103.55564 20709.3777 1100.31039220023522 20733.9506 1096.51366 20881.2222 1073.75991 20883.0228 1073.48186220023522 20891.4933 1072.17480 20915.9020 1068.40836 20917.4320 1068.18560220023522 20963.8863 1061.42199 21009.8273 1054.73349 21017.3556 1053.63801220023522 21032.7555 1051.40764 21127.3508 1037.70876 21134.8900 1036.61781220023522 21185.3884 1029.31079 21187.0177 1029.07520 21213.2624 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24068.7089 707.074779 24098.1063 704.461912220023522 24112.5794 703.175964 24178.2676 697.669407 24214.8586 694.604202220023522 24272.3322 689.789676 24310.1639 686.620539 24313.2117 686.365243220023522 24398.3272 679.236115 24461.6432 673.934445 24476.5403 672.687059220023522 24481.5103 672.271187 24504.5673 670.437241 24547.0905 667.057030220023522 24574.0757 664.924677 24588.1787 663.810370 24664.0871 657.813047220023522 24694.7446 655.391792 24703.1139 654.730805 24763.6355 649.950957220023522 24793.6898 647.577473 24808.9524 646.373025 24911.8672 638.762954220023522 24939.3115 636.734853 25046.6722 628.801027 25070.7631 627.029927220023522 25097.4302 625.069653 25118.8600 623.494368 25136.1514 622.223357220023522 25167.3568 619.930557 25170.2814 619.715684 25299.1248 610.249442220023522 25307.8867 609.606034 25392.5496 603.394097 25396.0731 603.153684220023522 25480.9096 597.365171 25492.1396 596.598933 25496.1195 596.328619220023522 25513.5928 595.142212 25526.0084 594.299297 25616.7402 588.139635220023522 25642.9103 586.362981 25700.5206 582.454550 25703.9543 582.221742220023522 25769.4746 577.779674 25839.2391 573.051381 25844.0187 572.751612220023522 25845.7414 572.643571 25888.4181 569.967052 25907.4804 568.776430220023522 25998.9883 563.061385 26049.7536 559.892999 26125.5261 555.163855220023522 26185.0120 551.451367 26192.5139 550.983360 26227.0808 548.826899220023522 26240.2117 548.007769 26255.8141 547.039273 26257.1172 546.958447220023522 26453.2016 534.797022 26462.3490 534.230113 26521.8375 530.543318220023522 26524.0499 530.406204 26566.9178 527.986443 26607.2500 525.710029220023522 26625.5622 524.676817 26693.5428 520.841416 26725.0866 519.061830220023522 26834.3380 512.903391 26855.0903 511.733596 26867.3926 511.040123220023522 26915.3500 508.352090 27006.8601 503.226005 27012.3579 502.918053220023522 27108.4974 497.534810 27117.8903 497.008884 27130.6504 496.294492220023522 27227.0100 490.899666 27228.5774 490.816908 27285.8526 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