85-At 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 85000.0000 208.196000 -1 0 0 38500 1451 0.0 0.0 0 0 0 68500 1451 0.0 1.0000E+11 0 0 3 68500 1451 0.0 0.0 1 0 175 368500 1451 85-At- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 8500 1451 NDS-IAEA-225 Dist-Jan25 8500 1451 ---- ENDF/B-VI MATERIAL 8500 8500 1451 ----- PHOTO-ATOMIC INTERACTION DATA 8500 1451 ------ ENDF/B-6 8500 1451 =================================================================8500 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 8500 1451 ENDF-6 Format. 8500 1451 =================================================================8500 1451 Contents 8500 1451 =================================================================8500 1451 MF/MT Description 8500 1451 =================================================================8500 1451 23/501 Total cross sections 8500 1451 23/502 Coherent scattering cross sections 8500 1451 23/504 Incoherent scattering cross sections 8500 1451 23/515 Pair production cross sections, Electron field 8500 1451 23/516 Pair production cross sections, Total 8500 1451 23/517 Pair production cross sections, Nuclear field 8500 1451 23/522 Total photoionization cross section 8500 1451 23/534 K (1S1/2) Photoionization subshell cross section 8500 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 8500 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 8500 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 8500 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 8500 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 8500 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 8500 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 8500 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 8500 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 8500 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 8500 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 8500 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 8500 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 8500 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 8500 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 8500 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 8500 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 8500 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 8500 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 8500 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 8500 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 8500 1451 23/560 P2 (6P1/2) Photoionization subshell cross section 8500 1451 23/561 P3 (6P3/2) Photoionization subshell cross section 8500 1451 =================================================================8500 1451 27/502 Coherent scattering form factors 8500 1451 27/504 Incoherent scattering functions 8500 1451 27/505 Imaginary anomalous scattering factor 8500 1451 27/506 Real anomalous scattering factor 8500 1451 =================================================================8500 1451 Warning 8500 1451 =================================================================8500 1451 MF/MT combinations used to define photoionization subshell cross8500 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 8500 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8500 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8500 1451 If you are not prepared to use this data you need merely delete 8500 1451 it and all of the remaining data will still be consistent and 8500 1451 equivalent to the types of data in earlier versions of ENDF/B. 8500 1451 However, this will limit the range of problems to which this 8500 1451 data can be applied (see: ref. 1 for details). 8500 1451 =================================================================8500 1451 Definition of new types of data 8500 1451 =================================================================8500 1451 1) The total photoionization cross section is equal to the sum 8500 1451 of the photoionization subshell cross sections. 8500 1451 8500 1451 For each subshell on the second line of a section the C1 and 8500 1451 C2 fields are defined as, 8500 1451 8500 1451 EPE = The photoionization edge energy (similar to Q-value) 8500 1451 EFL = The fluorescence yield (eV/photoionization) 8500 1451 8500 1451 2) The angular distribution of coherently scattered photons is, 8500 1451 8500 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8500 1451 8500 1451 S(E,MU) = Angular distributions (barns per unit cosine) 8500 1451 T = The Thomson cross section 8500 1451 MU = The cosine of the scattering angle 8500 1451 FF(M) = The atomic form factor 8500 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8500 1451 F1(E) = The real anomalous scattering factor 8500 1451 F2(E) = The imaginary anomalous scattering factor 8500 1451 8500 1451 F1(E) and F2(E) are isotropic. 8500 1451 8500 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 8500 1451 using only form factors (the older ENDF/B convention). 8500 1451 =================================================================8500 1451 Differences between EPDL97 and the data base presented here 8500 1451 =================================================================8500 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 8500 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 8500 1451 2) Type of Data - EPDL97 - Photon interaction including 8500 1451 photoexcitation 8500 1451 Here - Photon interaction - ENDF/B-VI has 8500 1451 no provision for photoexcitation 8500 1451 3) Secondary E - EPDL97 - Average energy of each secondary 8500 1451 (photons, electrons, positrons) 8500 1451 HERE - No secondary energy data 8500 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8500 1451 interpolable - the total cross 8500 1451 section is not included 8500 1451 - Form factors and scattering functions 8500 1451 are Log X vs. Log y, except first 8500 1451 interval. 8500 1451 - Anomalous scattering factors linearly 8500 1451 interpolable (they can be negative) 8500 1451 Here - Up through ENDF/B-V photon interaction8500 1451 cross sections were Log X vs. Log Y. 8500 1451 - For the first two Mods. of ENDF/B-VI 8500 1451 in order to consistently define the 8500 1451 total cross sections at ALL energies 8500 1451 all cross sections were linearized. 8500 1451 This was NOT a good idea. 8500 1451 - Starting with Mod. 3, cross sections 8500 1451 are left in Log X vs. Log. Y form so 8500 1451 that they are IDENTICAL to what's in 8500 1451 EPDL97. 8500 1451 The total is defined ONLY at the 8500 1451 energies tabulated in any other cross 8500 1451 section. 8500 1451 WARNING - As a result the total cross section 8500 1451 MUST NOT be interpolated to define the8500 1451 total between tabulated energies. The 8500 1451 ONLY consist way to define the total 8500 1451 between tabulated energies is to 8500 1451 interpolate all of the partials and 8500 1451 add them up. 8500 1451 =================================================================8500 1451 References 8500 1451 =================================================================8500 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8500 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8500 1451 graphs of photon interaction cross sections from 10 eV to 100 8500 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8500 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8500 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8500 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8500 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8500 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 8500 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8500 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8500 1451 IAEA, Vienna, Austria 8500 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8500 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8500 1451 IAEA, Vienna, Austria 8500 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 8500 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 8500 1451 IAEA, Vienna, Austria. 8500 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 8500 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 8500 1451 IAEA, Vienna, Austria. 8500 1451 8500 1451 These are the primary references to the contents of this library8500 1451 and they contain a complete list of references to the sources 8500 1451 of data used in this library, methods of evaluation, accuracy 8500 1451 of the data, etc. 8500 1451 =================================================================8500 1451 History 8500 1451 =================================================================8500 1451 1) Oct. 1989 - Initial Release 8500 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8500 1451 3) July 1997 - Complete re-evaluation 8500 1451 4) Sept.2014 - Updated based on recently published data. 8500 1451 - Insured Standard C, C++, FORTRAN format 8500 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8500 1451 - New Photoelectric and Coherent Cross Sections 8500 1451 - New Anomalous Scattering Factors (see, ref. 4) 8500 1451 - ALL Cross Sections Lin-Lin Interpolable 8500 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.8500 1451 =================================================================8500 1451 ***************** Program FIXUP (Version 2023-2) ****************8500 1451 **************** Program DICTIN (VERSION 2023-1) ****************8500 1451 1 451 215 38500 1451 23 501 4218 38500 1451 23 502 154 38500 1451 23 504 135 38500 1451 23 515 72 38500 1451 23 516 145 38500 1451 23 517 96 38500 1451 23 522 3838 38500 1451 23 534 131 38500 1451 23 535 151 38500 1451 23 536 163 38500 1451 23 537 170 38500 1451 23 538 168 38500 1451 23 539 179 38500 1451 23 540 186 38500 1451 23 541 212 38500 1451 23 542 213 38500 1451 23 543 182 38500 1451 23 544 186 38500 1451 23 545 201 38500 1451 23 546 225 38500 1451 23 547 224 38500 1451 23 548 288 38500 1451 23 549 286 38500 1451 23 550 199 38500 1451 23 551 215 38500 1451 23 552 218 38500 1451 23 553 282 38500 1451 23 554 275 38500 1451 23 559 225 38500 1451 23 560 253 38500 1451 23 561 258 38500 1451 27 502 331 38500 1451 27 504 151 38500 1451 27 505 141 38500 1451 27 506 141 38500 1451 8500 1 0 8500 0 0 85000.0000 208.196000 0 0 0 0850023501 0.0 0.0 0 0 1 12645850023501 12645 2 850023501 1.00000000 6.71855E-4 1.05924839 8.64935E-4 1.10597719 .001017222850023501 1.12500000 .001079219 1.14237171 .001160259 1.19922131 .001425471850023501 1.25890000 .001703891 1.26562500 .001735267 1.33350268 .002189278850023501 1.39234189 .002582844 1.42382813 .002793456 1.43816887 .002931251850023501 1.50975292 .003619091 1.58490000 .004341184 1.60180664 .004503645850023501 1.67881736 .005569341 1.75288991 .006594396 1.80203247 .007274465850023501 1.81058131 .007445382 1.90069801 .009247106 1.99530000 .011138531850023501 2.02728653 .011778063 2.11352184 .014279254 2.20676274 .016983665850023501 2.27938308 .019090003 2.28069735 .019128123 2.39281892 .023870918850023501 2.51190000 .028908143 2.56578451 .031187521 2.66074055 .037086093850023501 2.77813064 .044378289 2.86955971 .050057831 2.88650758 .051110632850023501 3.01237592 .062697293 3.16230000 .076498438 3.24732103 .084325024850023501 3.34967810 .098457103 3.49746259 .118861256 3.61256426 .134753035850023501 3.65323615 .140368510 3.79235805 .169649368 3.98110000 .209373812850023501 4.10989067 .236480410 4.21699334 .271619895 4.40304158 .332660868850023501 4.54794485 .380202566 4.62362701 .405033367 4.77428998 .483125893850023501 5.01190000 .606285487 5.16167363 .683917256 5.30887201 .800647345850023501 5.54309280 .986387428 5.63246443 1.05726033 5.72551517 1.16429603850023501 6.01046675 1.49207430 6.04440637 1.53111489 6.30960000 1.95604942850023501 6.40485558 2.10868284 6.68346399 2.71099016 6.72024863 2.79051277850023501 6.97832917 3.63741925 7.20798427 4.39104615 7.27218647 4.60172955850023501 7.56671537 6.18886424 7.68613985 6.83240983 7.94330000 8.95295470850023501 7.99660489 9.39250736 8.22945367 12.1666849 8.40409025 15.0280119850023501 8.41396545 15.2744147 8.66604513 21.5642251 8.78517756 26.2277987850023501 8.79702256 26.6914847 8.92800000 34.3705943 8.92836328 34.3974841850023501 8.93126102 34.6133834 8.93556533 34.9389813 8.93981938 35.2666526850023501 8.94402378 35.5964201 8.94817911 35.9283098 8.95228592 36.2623495850023501 8.95634480 36.5985687 8.96035630 36.9369983 8.96432097 37.2776709850023501 8.96823936 37.6206209 8.97211202 37.9658844 8.97593946 38.3134991850023501 8.97972223 38.6635051 8.98346085 39.0159441 8.98716063 39.3713291850023501 8.99202965 39.8494212 8.99682289 40.3321309 9.00154153 40.8195763850023501 9.00618673 41.3118840 9.01075963 41.8091863 9.01526135 42.3116217850023501 9.01969301 42.8193341 9.02405570 43.3324722 9.02835049 43.8511899850023501 9.03257843 44.3756485 9.03674057 44.9060618 9.04286264 45.7128339850023501 9.04884233 46.5337864 9.05468297 47.3693798 9.06038779 48.2201009850023501 9.06595994 49.0864041 9.07140251 49.9685706 9.07429530 50.4548600850023501 9.07496039 50.5666642 9.08193794 51.7873623 9.08869914 53.0385489850023501 9.09525071 54.3199794 9.10159914 55.6315068 9.10775072 56.9727694850023501 9.11371158 58.3445406 9.12230812 60.4455651 9.13050796 62.6037108850023501 9.13832940 64.8100345 9.14582877 67.0708693 9.15531392 70.1214919850023501 9.16421550 73.2018059 9.17256943 76.2914338 9.18414660 80.8159557850023501 9.19478158 85.2711322 9.20752288 90.8702799 9.22380120 98.2475809850023501 9.24166029 106.397537 9.26171457 115.097184 9.29733490 126.896451850023501 9.30000000 127.353505 9.30000000 62739795.9 9.33295523 62366259.7850023501 9.35818659 62080266.4 9.39424639 61671530.1 9.44060900 61146007.8850023501 9.48207938 60662078.7 9.52590957 60150613.7 9.52763363 60130495.3850023501 9.61304785 59133783.7 9.76252274 57389546.3 9.77237200 57274614.6850023501 9.87462890 56096135.2 10.0000000 54651273.5 10.0427882 54158153.2850023501 10.1157900 53316831.6 10.2109474 52233442.3 10.3061048 51150053.6850023501 10.3553606 50621990.0 10.4636706 49460816.4 10.5000000 49071335.1850023501 10.5924839 48073858.3 10.6261355 47710911.9 10.7073679 46834788.0850023501 10.7298738 46592053.3 10.7886004 46003549.9 10.8491621 45396660.6850023501 10.8997449 44889774.0 10.9647800 44238066.5 11.0000000 43889134.7850023501 11.0000000 73834559.5 11.0202172 73611002.2 11.0479359 73304494.1850023501 11.0597719 73173613.5 11.0756545 72997986.2 11.1428314 72255145.9850023501 11.2292017 71300058.1 11.2756204 70824178.9 11.3670073 69887292.5850023501 11.4237171 69305911.8 11.4555383 68979685.4 11.5000000 68523870.7850023501 11.5413027 68111173.0 11.7074713 66450812.6 11.7584166 65941766.2850023501 11.8632544 64967496.6 11.9400000 64254291.2 11.9922131 63773271.1850023501 12.0093010 63615846.6 12.0226400 63492959.3 12.0777603 62993949.1850023501 12.1272412 62545992.9 12.1338729 62485955.4 12.1596281 62252790.7850023501 12.1618600 62232585.1 12.1969117 61891699.2 12.2233897 61648294.4850023501 12.3469279 60512642.1 12.4451500 59609713.7 12.4630669 59434559.5850023501 12.5785619 58373974.0 12.5890000 58278121.4 12.7350300 56937134.4850023501 12.7812416 56500467.4 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21771.6140 26470.6155 21797.5222 26390.0850 21835.3503 26272.5082850023522 21859.1694 26198.4887 21877.6200 26141.3650 21893.2408 26093.0208850023522 21905.1855 26056.0994 21940.6759 25946.4000 21962.3937 25880.6417850023522 22003.9213 25754.9081 22037.0928 25654.4810 22053.0432 25606.1950850023522 22060.8304 25582.6698 22076.2725 25536.1405 22083.2248 25515.2102850023522 22093.9996 25482.7726 22130.9500 25371.5842 22134.0000 25362.4221850023522 22162.5711 25279.0617 22162.8186 25278.3397 22178.3612 25233.1740850023522 22197.4396 25177.9977 22237.2023 25064.1713 22258.7134 25002.6046850023522 22275.1396 24955.6126 22302.0463 24878.6847 22338.9405 24773.2062850023522 22343.9637 24758.8459 22355.0198 24727.2397 22359.1750 24715.3615850023522 22371.1091 24681.2625 22387.2100 24636.2563 22392.4394 24621.6506850023522 22398.3694 24605.1141 22509.4939 24295.8382 22516.4572 24276.4600850023522 22567.1453 24135.4250 22597.6118 24050.6572 22603.5485 24034.1455850023522 22635.0150 23946.6305 22636.2640 23943.1640 22646.4400 23914.9232850023522 22650.4099 23903.9112 22654.9085 23891.4525 22662.6194 23870.1397850023522 22670.8989 23847.2612 22674.9780 23836.0208 22694.3703 23782.5848850023522 22722.0625 23706.3260 22748.2030 23636.9250 22762.9173 23598.0700850023522 22777.1815 23560.4256 22870.4286 23314.5719 22870.7046 23313.8442850023522 22898.3778 23240.8886 22899.6664 23237.4925 22908.6800 23213.7387850023522 22941.6699 23126.8109 22970.3206 23051.3183 23018.6652 22923.9382850023522 23032.6435 22887.1088 23040.9276 22865.8431 23042.9486 22860.6594850023522 23045.2367 22854.8019 23059.5885 22818.1494 23081.1298 22763.3011850023522 23085.4808 22752.3620 23107.0551 22698.2704 23123.9750 22655.8495850023522 23129.1760 22642.8253 23144.9226 22603.3939 23164.8301 22553.5467850023522 23173.9500 22530.7202 23185.1722 22502.6491 23207.3236 22447.4610850023522 23249.4195 22342.6039 23315.8646 22182.3462 23329.0034 22150.6580850023522 23338.0567 22128.8239 23368.0172 22056.6248 23442.2900 21877.6541850023522 23442.2917 21877.6500 23467.6041 21816.8922 23475.7851 21797.2555850023522 23518.3988 21694.9725 23562.8530 21588.7174 23577.6251 21553.4119850023522 23638.6039 21407.7738 23647.4422 21386.6742 23655.1534 21368.2658850023522 23685.8318 21295.2904 23713.7400 21228.9067 23720.8874 21212.1367850023522 23725.5558 21201.4814 23739.3491 21170.0015 23743.6170 21160.2625850023522 23747.8878 21150.5300 23850.6399 20916.6002 23869.9521 20872.7315850023522 23895.4747 20814.7564 23919.3866 20760.6100 23919.3880 20760.6068850023522 23929.6399 20737.4433 23936.6049 20721.7066 23967.1546 20652.7301850023522 23988.3300 20604.9209 24000.0000 20578.5745 24000.2823 20577.9405850023522 24005.4621 20566.3142 24027.2398 20517.4341 24126.8177 20295.0467850023522 24141.2580 20263.2816 24146.3571 20252.3308 24179.3239 20181.5428850023522 24213.7769 20107.5651 24219.2210 20095.8981 24255.1929 20018.8853850023522 24266.1000 19995.5432 24266.1034 19995.5359 24272.1467 19982.6307850023522 24292.3070 19939.5830 24344.8044 19827.5664 24344.8058 19827.5634850023522 24395.4161 19719.7822 24399.9336 19710.1620 24406.1918 19696.8352850023522 24486.4450 19525.9494 24494.1590 19509.5240 24515.1888 19465.5899850023522 24521.5668 19452.5394 24522.2227 19451.2005 24536.0543 19422.9836850023522 24537.4338 19420.1741 24547.0900 19400.5176 24553.2021 19388.1172850023522 24578.0211 19337.7919 24582.1655 19329.3906 24708.7964 19072.9647850023522 24723.2472 19043.7238 24724.3560 19041.4836 24759.9655 18969.7257850023522 24769.9902 18949.5250 24777.7876 18933.8154 24790.8549 18907.4902850023522 24821.5638 18845.6261 24831.3300 18825.9917 24840.3920 18807.7746850023522 24847.1264 18794.3879 24974.6848 18547.4067 24988.4806 18520.8006850023522 25001.8780 18494.9827 25039.2810 18423.0870 25059.2073 18384.8051850023522 25070.3376 18363.4501 25088.1505 18329.2805 25100.7953 18305.0252850023522 25107.5720 18292.0265 25107.5738 18292.0230 25118.8600 18270.3796850023522 25132.4234 18244.3798 25136.8057 18236.0068 25150.5154 18209.8456850023522 25200.3328 18116.8436 25263.8760 17998.2206 25329.2228 17876.2378850023522 25346.9573 17843.2076 25354.9359 17828.3610 25356.0742 17826.2533850023522 25356.9153 17824.6959 25399.7320 17745.5461 25409.7300 17727.0653850023522 25422.3908 17703.6652 25438.8685 17673.2223 25446.0359 17660.3629850023522 25489.9419 17581.6056 25540.7920 17491.1855 25556.4158 17463.4046850023522 25597.7556 17389.9277 25648.5300 17299.6837 25654.2992 17289.4303850023522 25695.2930 17217.7537 25703.9600 17202.6027 25713.5649 17185.8261850023522 25716.7692 17180.2315 25740.0422 17139.6662 25825.8651 16990.5407850023522 25826.4236 16989.5711 25852.3511 16944.5598 25862.8142 16926.3987850023522 25886.4400 16885.5434 25891.9051 16876.1099 25919.2162 16829.9852850023522 25945.5250 16785.5567 25988.2268 16713.4691 25989.9034 16710.6649850023522 25989.9054 16710.6616 26001.6000 16691.1031 26011.3154 16674.8643850023522 26020.1661 16660.0969 26034.3591 16636.4220 26038.7484 16629.1417850023522 26151.7063 16445.0409 26156.5910 16437.0873 26236.9693 16306.2751850023522 26260.6960 16268.5494 26290.8277 16220.6413 26290.8523 16220.6023850023522 26292.3303 16218.2562 26315.7899 16181.0207 26321.6174 16171.7717850023522 26340.5585 16141.7104 26424.5036 16008.4843 26454.5313 15960.9633850023522 26459.4720 15953.1511 26472.2680 15932.9602 26500.0000 15889.2307850023522 26549.8776 15810.7307 26555.8479 15801.3454 26596.7820 15737.2656850023522 26598.2588 15734.9546 26598.2776 15734.9252 26602.7670 15727.9099850023522 26607.2500 15720.9063 26617.1971 15705.3750 26625.2100 15692.8645850023522 26626.2514 15691.2386 26645.5712 15661.6960 26646.6705 15660.0153850023522 26753.9769 15495.9675 26763.2073 15482.0164 26830.0696 15383.7595850023522 26853.7618 15348.9451 26913.0074 15262.1527 26915.3500 15258.7210850023522 26944.4147 15216.2230 26953.8082 15202.4881 26967.6656 15182.3171850023522 26989.0488 15151.2138 27066.1589 15039.0545 27070.7315 15032.4147850023522 27075.7930 15025.0697 27091.9426 15001.6360 27140.7497 14930.9835850023522 27185.6421 14866.0239 27227.0100 14806.1652 27240.5794 14786.8584850023522 27256.4177 14764.3244 27261.3203 14757.3503 27266.2285 14750.3777850023522 27292.2367 14713.4667 27300.0000 14702.4492 27406.3743 14553.8241850023522 27423.6352 14529.7077 27443.7450 14501.6698 27482.8958 14447.0853850023522 27510.7590 14408.2627 27537.6413 14370.9409 27542.2900 14364.4872850023522 27552.5784 14350.3052 27556.0142 14345.5693 27560.3187 14339.6378850023522 27561.9584 14337.3784 27620.7289 14256.8245 27711.0184 14133.4403850023522 27723.7251 14116.4300 27728.1987 14110.4422 27781.1332 14039.6522850023522 27807.3854 14005.1697 27848.6841 13950.9784 27871.6269 13920.8837850023522 27876.2525 13914.8180 27891.3038 13895.1166 27934.3108 13838.8643850023522 28027.2898 13717.2527 28035.8139 13706.1043 28062.4148 13671.3146850023522 28101.9665 13619.5911 28102.8296 13618.4836 28114.2065 13603.9124850023522 28143.3015 13566.6488 28172.7404 13528.9506 28183.8300 13514.7556850023522 28219.3409 13469.5606 28224.1005 13463.5047 28275.2342 13398.5124850023522 28278.4165 13394.5297 28305.7746 13360.3433 28351.8367 13303.4297850023522 28369.4965 13281.6177 28370.7439 13280.0782 28397.8113 13246.6735850023522 28439.7511 13194.9153 28473.4881 13153.2885 28510.1800 13109.1945850023522 28525.5752 13090.7059 28571.0607 13036.0844 28602.6520 12998.2808850023522 28635.0664 12959.5518 28672.3735 12915.0365 28674.7749 12912.1712850023522 28679.9351 12906.0385 28714.7761 12864.6394 28716.0705 12863.1315850023522 28748.9387 12824.9492 28758.2126 12814.1810 28784.5965 12783.5466850023522 28840.3200 12718.8594 28860.9112 12694.9637 28937.1069 12606.6533850023522 28950.8231 12590.7571 28991.1650 12544.0810 29006.8097 12526.1583850023522 29047.2834 12479.7938 29089.2019 12431.8369 29101.5862 12417.6690850023522 29102.2014 12416.9652 29111.3620 12406.4952 29132.3134 12382.6676850023522 29174.2700 12334.9836 29183.3805 12324.6308 29188.8080 12318.6598850023522 29190.0196 12317.3274 29215.9563 12288.9041 29302.0644 12194.5616850023522 29305.2065 12191.1192 29384.9571 12103.9784 29405.3996 12081.6502850023522 29442.0022 12041.6719 29448.4522 12034.6350 29500.4794 11977.8761850023522 29511.7984 11965.7986 29512.0900 11965.4881 29523.1210 11953.7502850023522 29604.4817 11867.2073 29625.1761 11845.4751 29643.7831 11825.9361850023522 29673.8370 11794.3839 29687.8064 11779.7184 29725.2151 11740.4800850023522 29791.7786 11670.6707 29819.0400 11642.1201 29840.4017 11620.3691850023522 29853.8300 11606.6966 29868.1692 11592.1057 29869.9450 11590.3039850023522 29875.1467 11585.0278 29875.3132 11584.8590 29891.4449 11568.5012850023522 29939.6518 11519.8987 30026.1728 11432.7879 30031.7836 11427.1442850023522 30038.3306 11420.5617 30103.8334 11354.9650 30149.5124 11309.9799850023522 30187.6346 11272.4374 30199.2184 11261.0304 30215.8203 11244.6828850023522 30219.8940 11240.6723 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31341.2195 10208.6142850023522 31363.4373 10190.0034 31405.5817 10154.7151 31426.1057 10137.5302850023522 31455.7622 10112.6992 31554.5868 10030.0190 31564.6575 10021.5956850023522 31622.7800 9973.53364 31634.5948 9963.78548 31639.8465 9959.45260850023522 31645.3651 9954.90125 31769.2433 9853.29010 31799.9647 9828.09473850023522 31818.2172 9813.14699 31833.7344 9800.45178 31883.6276 9759.64129850023522 31897.0087 9748.69923 31915.7548 9733.39960 31927.1518 9724.09809850023522 31952.3330 9703.56745 31952.4558 9703.46770 31988.9500 9673.82593850023522 32046.0993 9627.91264 32058.0828 9618.29301 32096.3077 9587.60887850023522 32143.0390 9550.10848 32179.6371 9521.60586 32221.8756 9488.71219850023522 32266.3647 9454.48654 32279.4246 9444.46433 32285.3254 9439.93741850023522 32359.3700 9383.14190 32400.1397 9352.01868 32405.6060 9347.84692850023522 32420.2387 9336.69157 32452.6365 9311.99332 32464.3127 9303.26818850023522 32471.6198 9297.81713 32501.1100 9275.81797 32509.2461 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33902.7075 8293.85511 33923.5506 8280.14540 33942.4547 8267.71121850023522 33975.5928 8246.51856 33981.8310 8242.53435 33994.3125 8234.56499850023522 33998.1369 8232.12325 34032.8386 8210.07402 34103.5992 8165.11505850023522 34129.1090 8148.90726 34136.7867 8144.02926 34178.2609 8118.24123850023522 34178.2651 8118.23862 34239.8989 8079.93590 34276.7800 8057.01621850023522 34301.2609 8041.92049 34350.6600 8011.46749 34408.1164 7976.05817850023522 34506.1230 7915.66156 34520.1175 7907.04706 34522.7579 7905.42447850023522 34524.3137 7904.46843 34542.2126 7893.48253 34623.8251 7843.39150850023522 34661.9921 7819.98301 34673.6893 7812.82800 34673.6900 7812.82757850023522 34692.3985 7801.57795 34786.1383 7745.21223 34786.1421 7745.20995850023522 34841.0246 7712.22581 34849.3598 7707.21647 34861.1202 7700.27765850023522 34874.8706 7692.20821 34887.9772 7684.51668 34911.4229 7670.81462850023522 34977.1282 7632.42910 34991.8820 7623.81814 35059.3774 7584.42633850023522 35074.8374 7575.41467 35075.1900 7575.20915 35094.1256 7564.17415850023522 35150.9900 7531.07138 35176.2885 7516.60247 35268.7552 7464.35920850023522 35284.0283 7455.75493 35326.8933 7431.62939 35328.4880 7430.73209850023522 35375.6606 7404.20803 35379.3664 7402.12437 35379.8740 7401.83897850023522 35394.5287 7393.59944 35407.5920 7386.26347 35469.3435 7351.58720850023522 35481.3400 7344.85926 35485.0524 7342.77794 35522.7029 7322.00695850023522 35583.3426 7288.68693 35600.4205 7279.30343 35604.4241 7277.10614850023522 35645.6751 7255.01475 35686.1770 7233.39263 35700.6179 7225.68482850023522 35806.9451 7168.93403 35850.1926 7145.85654 35866.3773 7137.22025850023522 35876.0572 7132.12179 35892.1900 7123.62656 35911.5719 7113.42055850023522 35969.5537 7082.91647 36008.6051 7062.37253 36027.1164 7052.63452850023522 36050.7883 7040.23400 36093.2987 7018.27881 36114.0194 7007.59389850023522 36137.0009 6995.74569 36147.0034 6990.59583 36198.8730 6963.89169850023522 36203.4547 6961.54123 36224.7281 6950.63226 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