75-Re 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 75000.0000 184.601000 -1 0 0 37500 1451 0.0 0.0 0 0 0 67500 1451 0.0 1.0000E+11 0 0 3 67500 1451 0.0 0.0 1 0 173 347500 1451 75-Re- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 7500 1451 NDS-IAEA-225 Dist-Jan25 7500 1451 ---- ENDF/B-VI MATERIAL 7500 7500 1451 ----- PHOTO-ATOMIC INTERACTION DATA 7500 1451 ------ ENDF/B-6 7500 1451 =================================================================7500 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 7500 1451 ENDF-6 Format. 7500 1451 =================================================================7500 1451 Contents 7500 1451 =================================================================7500 1451 MF/MT Description 7500 1451 =================================================================7500 1451 23/501 Total cross sections 7500 1451 23/502 Coherent scattering cross sections 7500 1451 23/504 Incoherent scattering cross sections 7500 1451 23/515 Pair production cross sections, Electron field 7500 1451 23/516 Pair production cross sections, Total 7500 1451 23/517 Pair production cross sections, Nuclear field 7500 1451 23/522 Total photoionization cross section 7500 1451 23/534 K (1S1/2) Photoionization subshell cross section 7500 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 7500 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 7500 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 7500 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 7500 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 7500 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 7500 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 7500 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 7500 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 7500 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 7500 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 7500 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 7500 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 7500 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 7500 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 7500 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 7500 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 7500 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 7500 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 7500 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 7500 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 7500 1451 =================================================================7500 1451 27/502 Coherent scattering form factors 7500 1451 27/504 Incoherent scattering functions 7500 1451 27/505 Imaginary anomalous scattering factor 7500 1451 27/506 Real anomalous scattering factor 7500 1451 =================================================================7500 1451 Warning 7500 1451 =================================================================7500 1451 MF/MT combinations used to define photoionization subshell cross7500 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 7500 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7500 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7500 1451 If you are not prepared to use this data you need merely delete 7500 1451 it and all of the remaining data will still be consistent and 7500 1451 equivalent to the types of data in earlier versions of ENDF/B. 7500 1451 However, this will limit the range of problems to which this 7500 1451 data can be applied (see: ref. 1 for details). 7500 1451 =================================================================7500 1451 Definition of new types of data 7500 1451 =================================================================7500 1451 1) The total photoionization cross section is equal to the sum 7500 1451 of the photoionization subshell cross sections. 7500 1451 7500 1451 For each subshell on the second line of a section the C1 and 7500 1451 C2 fields are defined as, 7500 1451 7500 1451 EPE = The photoionization edge energy (similar to Q-value) 7500 1451 EFL = The fluorescence yield (eV/photoionization) 7500 1451 7500 1451 2) The angular distribution of coherently scattered photons is, 7500 1451 7500 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7500 1451 7500 1451 S(E,MU) = Angular distributions (barns per unit cosine) 7500 1451 T = The Thomson cross section 7500 1451 MU = The cosine of the scattering angle 7500 1451 FF(M) = The atomic form factor 7500 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7500 1451 F1(E) = The real anomalous scattering factor 7500 1451 F2(E) = The imaginary anomalous scattering factor 7500 1451 7500 1451 F1(E) and F2(E) are isotropic. 7500 1451 7500 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 7500 1451 using only form factors (the older ENDF/B convention). 7500 1451 =================================================================7500 1451 Differences between EPDL97 and the data base presented here 7500 1451 =================================================================7500 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 7500 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 7500 1451 2) Type of Data - EPDL97 - Photon interaction including 7500 1451 photoexcitation 7500 1451 Here - Photon interaction - ENDF/B-VI has 7500 1451 no provision for photoexcitation 7500 1451 3) Secondary E - EPDL97 - Average energy of each secondary 7500 1451 (photons, electrons, positrons) 7500 1451 HERE - No secondary energy data 7500 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7500 1451 interpolable - the total cross 7500 1451 section is not included 7500 1451 - Form factors and scattering functions 7500 1451 are Log X vs. Log y, except first 7500 1451 interval. 7500 1451 - Anomalous scattering factors linearly 7500 1451 interpolable (they can be negative) 7500 1451 Here - Up through ENDF/B-V photon interaction7500 1451 cross sections were Log X vs. Log Y. 7500 1451 - For the first two Mods. of ENDF/B-VI 7500 1451 in order to consistently define the 7500 1451 total cross sections at ALL energies 7500 1451 all cross sections were linearized. 7500 1451 This was NOT a good idea. 7500 1451 - Starting with Mod. 3, cross sections 7500 1451 are left in Log X vs. Log. Y form so 7500 1451 that they are IDENTICAL to what's in 7500 1451 EPDL97. 7500 1451 The total is defined ONLY at the 7500 1451 energies tabulated in any other cross 7500 1451 section. 7500 1451 WARNING - As a result the total cross section 7500 1451 MUST NOT be interpolated to define the7500 1451 total between tabulated energies. The 7500 1451 ONLY consist way to define the total 7500 1451 between tabulated energies is to 7500 1451 interpolate all of the partials and 7500 1451 add them up. 7500 1451 =================================================================7500 1451 References 7500 1451 =================================================================7500 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7500 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7500 1451 graphs of photon interaction cross sections from 10 eV to 100 7500 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7500 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7500 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7500 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7500 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7500 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 7500 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 7500 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 7500 1451 IAEA, Vienna, Austria 7500 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 7500 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 7500 1451 IAEA, Vienna, Austria 7500 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 7500 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 7500 1451 IAEA, Vienna, Austria. 7500 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 7500 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 7500 1451 IAEA, Vienna, Austria. 7500 1451 7500 1451 These are the primary references to the contents of this library7500 1451 and they contain a complete list of references to the sources 7500 1451 of data used in this library, methods of evaluation, accuracy 7500 1451 of the data, etc. 7500 1451 =================================================================7500 1451 History 7500 1451 =================================================================7500 1451 1) Oct. 1989 - Initial Release 7500 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 7500 1451 3) July 1997 - Complete re-evaluation 7500 1451 4) Sept.2014 - Updated based on recently published data. 7500 1451 - Insured Standard C, C++, FORTRAN format 7500 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 7500 1451 - New Photoelectric and Coherent Cross Sections 7500 1451 - New Anomalous Scattering Factors (see, ref. 4) 7500 1451 - ALL Cross Sections Lin-Lin Interpolable 7500 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.7500 1451 =================================================================7500 1451 ***************** Program FIXUP (Version 2023-2) ****************7500 1451 **************** Program DICTIN (VERSION 2023-1) ****************7500 1451 1 451 211 37500 1451 23 501 3825 37500 1451 23 502 127 37500 1451 23 504 133 37500 1451 23 515 72 37500 1451 23 516 146 37500 1451 23 517 96 37500 1451 23 522 3464 37500 1451 23 534 137 37500 1451 23 535 157 37500 1451 23 536 171 37500 1451 23 537 177 37500 1451 23 538 174 37500 1451 23 539 185 37500 1451 23 540 194 37500 1451 23 541 220 37500 1451 23 542 222 37500 1451 23 543 189 37500 1451 23 544 194 37500 1451 23 545 205 37500 1451 23 546 237 37500 1451 23 547 238 37500 1451 23 548 298 37500 1451 23 549 295 37500 1451 23 550 207 37500 1451 23 551 229 37500 1451 23 552 236 37500 1451 23 553 280 37500 1451 23 554 278 37500 1451 23 559 243 37500 1451 27 502 344 37500 1451 27 504 149 37500 1451 27 505 114 37500 1451 27 506 114 37500 1451 7500 1 0 7500 0 0 75000.0000 184.601000 0 0 0 0750023501 0.0 0.0 0 0 1 11465750023501 11465 2 750023501 1.00000000 2.23390E-4 1.05924839 2.87211E-4 1.10597719 3.37554E-4750023501 1.12500000 3.58051E-4 1.14237171 3.84777E-4 1.19922131 4.72247E-4750023501 1.25890000 5.64083E-4 1.26562500 5.74433E-4 1.33350268 7.23782E-4750023501 1.39234189 8.53258E-4 1.42382813 9.22550E-4 1.43816887 9.67737E-4750023501 1.50975292 .001193314 1.58490000 .001430137 1.60180664 .001483423750023501 1.67881736 .001831600 1.75288991 .002166515 1.80203247 .002388722750023501 1.81058131 .002444301 1.90069801 .003030213 1.99530000 .003645316750023501 2.02728653 .003853305 2.11352184 .004661919 2.20676274 .005536258750023501 2.27938308 .006217254 2.28069735 .006229579 2.39281892 .007751558750023501 2.51190000 .009368056 2.56578451 .010099551 2.66074055 .011974591750023501 2.77813064 .014292678 2.86955971 .016098148 2.88650758 .016432829750023501 3.01237592 .020071601 3.16230000 .024405886 3.24732103 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11963.0000 67946.3198 11966.5651 67895.7301 11971.6614 67823.4196750023501 11980.2712 67701.2608 11988.0938 67590.2731 11990.8569 67551.1043750023501 11992.4074 67529.1254 11993.0000 67520.7268 11996.7217 67468.2061750023501 11998.6384 67441.1891 12022.6400 67102.8917 12058.3870 66600.0397750023501 12075.8206 66355.1512 12080.0000 66296.6381 12094.2300 66097.4299750023501 12099.2969 66028.5178 12100.0000 66018.9556 12129.6970 65601.4659750023501 12131.2700 65579.3526 12161.8600 65151.4146 12164.2005 65118.7463750023501 12189.2552 64769.9647 12212.0938 64452.0652 12215.8919 64399.1999750023501 12219.8550 64344.0394 12226.2295 64255.3215 12228.9964 64216.8133750023501 12232.0671 64174.1062 12240.0000 64064.1164 12244.1827 64008.0959750023501 12245.2821 63993.3734 12259.3361 63805.7089 12276.1624 63581.2605750023501 12283.1162 63488.5623 12295.7758 63319.8215 12318.1902 63029.2069750023501 12355.9173 62540.6960 12357.3375 62522.3510 12395.5105 62029.2749750023501 12400.0000 61971.4899 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58389.9350750023501 13453.7284 58358.9396 13453.9582 58356.4540 13456.3009 58331.1150750023501 13468.1273 58203.5998 13468.4719 58199.8847 13489.6300 57971.7853750023501 13500.0000 57859.9902 13503.6480 57820.8180 13512.2096 57728.2160750023501 13529.7317 57544.8381 13547.9901 57353.8844 13559.0042 57238.8232750023501 13602.6765 56783.6770 13611.5087 56692.0213 13618.5864 56618.5868750023501 13623.0470 56572.3073 13623.0782 56571.9836 13645.8277 56336.1247750023501 13651.0150 56283.3074 13706.4499 55718.8822 13720.3687 55577.1675750023501 13733.8425 55440.0493 13743.5542 55341.4957 13755.2000 55223.3184750023501 13786.5531 54905.3136 13793.2636 54837.2521 13803.8400 54730.1663750023501 13803.8437 54730.1295 13812.7686 54641.3714 13821.6623 54552.9257750023501 13823.7234 54532.5199 13883.5300 53940.8670 13897.2756 53807.4163750023501 13926.7635 53521.1700 13928.5574 53503.7650 13933.1593 53459.1714750023501 13933.5775 53455.1190 13940.3708 53389.3013 13941.7751 53375.7003750023501 13955.8745 53239.4751 13963.6800 53164.0623 13986.4154 52944.4076750023501 14003.9304 52775.2785 14024.0977 52586.4697 14035.4990 52479.7400750023501 14055.0905 52296.3436 14064.5201 52208.2711 14084.7787 52019.4875750023501 14107.6843 51806.0398 14115.5312 51732.9447 14125.2633 51642.3019750023501 14125.3800 51641.2150 14126.2969 51632.6754 14140.6301 51499.4594750023501 14156.7689 51349.5472 14166.0869 51263.4519 14166.0871 51263.4501750023501 14188.1293 51061.6643 14206.9210 50889.7389 14209.8865 50862.6946750023501 14220.9820 50761.5110 14247.8694 50516.5403 14265.2636 50361.5964750023501 14288.9400 50150.8124 14289.7557 50143.5506 14296.6502 50082.3313750023501 14306.9483 49991.0681 14326.2733 49819.8248 14345.5983 49648.1939750023501 14361.0927 49510.5865 14362.4273 49499.1382 14371.4346 49421.9075750023501 14383.0687 49322.1580 14403.4249 49147.7338 14418.0389 49022.5152750023501 14444.3225 48797.3323 14449.3582 48754.2314 14454.4000 48711.0860750023501 14496.0608 48354.7252 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16335.2169 35660.6540 16336.3209 35654.4465 16370.5201 35462.1576750023501 16370.5202 35462.1570 16382.3016 35395.9682 16394.4625 35327.7810750023501 16399.4442 35299.8755 16400.1799 35295.7637 16405.9000 35263.8001750023501 16429.5246 35132.3484 16453.1818 35000.7321 16479.8042 34855.6502750023501 16493.1250 34783.0586 16513.9729 34671.8368 16515.4555 34663.9323750023501 16554.1286 34457.7499 16595.8687 34235.8108 16595.8700 34235.8039750023501 16604.8245 34188.3521 16660.1791 33895.5134 16667.6760 33855.8542750023501 16686.5160 33756.2319 16694.6786 33713.0705 16699.9068 33685.4940750023501 16714.6205 33607.8869 16716.8422 33596.5000 16734.8500 33504.2057750023501 16751.8414 33417.3428 16775.9607 33294.0596 16782.1865 33262.7310750023501 16788.0400 33233.3114 16806.1701 33142.2006 16809.1932 33127.0098750023501 16844.3789 32950.3119 16860.6775 32868.5824 16866.9108 32837.3359750023501 16884.9598 32746.8605 16884.9606 32746.8565 16900.1542 32671.7329750023501 16917.8320 32584.3593 16933.6276 32506.2906 16940.4837 32472.4051750023501 16954.0800 32405.2587 16961.0676 32370.7504 16990.8985 32223.9031750023501 17022.1937 32070.1328 17056.8223 31902.7366 17075.1958 31814.0795750023501 17080.4772 31788.5958 17094.3099 31721.8589 17095.8478 31714.4400750023501 17106.2310 31664.3647 17120.5533 31595.3242 17137.9732 31511.3536750023501 17142.0413 31492.4282 17145.8951 31474.5878 17146.5448 31471.5821750023501 17157.5648 31420.6017 17179.0800 31321.0702 17185.5025 31291.3820750023501 17200.7312 31221.1261 17234.8008 31063.9682 17255.7391 30967.4331750023501 17304.3110 30744.1493 17340.5355 30577.6855 17348.9933 30538.8253750023501 17349.2035 30537.8595 17378.0100 30405.5092 17398.3360 30312.9977750023501 17435.0657 30149.0841 17467.3803 30005.1653 17472.9302 29980.4483750023501 17478.3296 29956.4139 17481.5956 29941.8883 17517.1936 29783.9292750023501 17528.4938 29735.3131 17535.8087 29703.8432 17545.2748 29663.1236750023501 17553.9575 29625.7785 17557.2187 29611.7520 17601.3882 29421.7797750023501 17663.6357 29155.5187 17675.2567 29105.8491 17685.9661 29060.0938750023501 17686.8920 29056.1490 17688.8741 29047.7043 17720.5259 28913.1492750023501 17724.2426 28897.3494 17744.4459 28811.5910 17753.1042 28774.8777750023501 17774.8001 28682.9165 17782.7900 28649.0506 17783.0003 28648.1720750023501 17805.2012 28555.4121 17855.8886 28343.6685 17874.2521 28268.9688750023501 17944.2684 27984.1583 17953.9582 27944.8030 17958.6752 27925.7219750023501 17959.9011 27920.7644 17966.1789 27895.4666 17967.5408 27889.9807750023501 17988.7094 27804.7129 17988.7100 27804.7105 18020.8454 27676.9516750023501 18037.1133 27612.4284 18053.5413 27547.2715 18066.5366 27496.4241750023501 18075.0735 27463.0218 18118.6114 27292.6970 18157.6143 27140.4698750023501 18161.8536 27124.3045 18174.2174 27077.1657 18180.9460 27051.5198750023501 18190.8741 27013.6799 18197.0100 26990.2939 18219.9360 26902.9619750023501 18223.0126 26891.2565 18279.4390 26677.4987 18290.5955 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19078.6165 23889.9420 19112.4977 23780.2705 19127.6167 23731.4868750023501 19159.6956 23628.1718 19164.6104 23612.3431 19181.8549 23556.8234750023501 19201.3861 23493.9624 19243.0634 23361.3776 19246.1602 23351.5261750023501 19272.0264 23270.8642 19275.2500 23261.0582 19289.0170 23219.1847750023501 19337.7636 23071.0940 19349.9429 23034.1536 19380.5335 22941.3730750023501 19386.5294 22923.1878 19415.7548 22834.8967 19442.4044 22754.4215750023501 19442.4081 22754.4103 19456.4011 22712.2478 19460.7759 22699.0698750023501 19466.6606 22681.3457 19474.0213 22659.1765 19498.2502 22586.2039750023501 19498.4500 22585.6034 19551.2137 22427.0193 19552.1959 22424.0785750023501 19585.4547 22327.0409 19611.0129 22252.5335 19638.3718 22172.7874750023501 19641.5646 22163.4937 19649.1939 22141.6743 19681.6983 22048.7150750023501 19691.2955 22021.4045 19700.1076 21996.3284 19715.3599 21952.9262750023501 19724.2300 21927.6916 19780.9307 21766.5043 19788.1970 21745.8794750023501 19788.2002 21745.8703 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1898.78783750023501 50096.1875 1894.10876 50119.0000 1891.81174 50150.2923 1888.65892750023501 50227.0311 1881.10683 50340.6782 1869.92254 50378.1859 1866.23175750023501 50448.0849 1859.35713 50503.3626 1853.92054 50521.9494 1852.11563750023501 50553.3594 1849.10495 50591.4309 1845.45616 50598.0483 1844.82201750023501 50608.7305 1843.79834 50699.0700 1835.18021 50768.3733 1828.61047750023501 50874.9405 1818.51598 51000.9317 1806.58161 51013.9895 1805.36466750023501 51057.2845 1801.33020 51075.4507 1799.63739 51076.9009 1799.50231750023501 51117.2341 1795.74553 51166.9217 1791.11805 51187.1366 1789.27344750023501 51194.7541 1788.57835 51210.9433 1787.10263 51227.4320 1785.59976750023501 51268.8425 1781.82623 51276.7020 1781.11005 51286.1400 1780.25980750023501 51452.4746 1765.28808 51489.9441 1761.91578 51513.2650 1759.81689750023501 51643.9071 1748.09841 51693.4693 1743.65561 51693.5398 1743.64930750023501 51764.3553 1737.30375 51805.3958 1733.62625 51850.8458 1729.56998750023501 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10150.8844 28695.8737750023522 10155.9084 28658.7402 10159.5626 28631.7339 10164.3647 28596.8717750023522 10209.0370 28273.2714 10232.9300 28100.2830 10249.2218 27983.9263750023522 10258.5327 27917.4424 10273.5069 27810.5234 10275.3566 27797.3171750023522 10277.2010 27784.2691 10285.5619 27725.1688 10289.4028 27698.4340750023522 10313.3209 27533.5958 10381.2590 27065.5775 10382.1931 27059.1667750023522 10396.2095 26962.9809 10420.5470 26796.6290 10423.6100 26775.6964750023522 10424.1977 26771.6811 10444.9479 26631.3321 10460.7773 26526.3993750023522 10471.2900 26456.7132 10502.4107 26253.0505 10512.8095 26185.0037750023522 10540.0000 26007.9165 10540.0000 68099.4398 10547.6139 67968.5000750023522 10553.5475 67866.4629 10555.2093 67838.0062 10556.3455 67818.5505750023522 10562.0943 67720.1175 10565.8922 67655.1570 10592.5384 67199.5095750023522 10592.5400 67199.4822 10629.7081 66566.0278 10638.3716 66419.0365750023522 10657.0053 66104.3671 10660.0678 66052.6539 10664.2356 65982.2815750023522 10677.4293 65760.7476 10686.8609 65602.3864 10688.2427 65579.1860750023522 10716.3400 65108.2206 10747.0466 64593.8342 10767.9609 64244.1520750023522 10771.6446 64182.5694 10786.7535 63929.9889 10787.7201 63913.8932750023522 10800.0000 63709.4472 10809.7974 63558.3512 10810.6047 63545.9020750023522 10815.8977 63464.2821 10831.7173 63220.5360 10839.2700 63104.8760750023522 10854.8824 62867.3029 10859.7547 62793.1712 10870.5140 62629.4819750023522 10887.4235 62372.8505 10912.6385 61990.1836 10918.2844 61904.6106750023522 10926.1432 61786.1136 10935.4585 61645.8623 10957.1421 61319.6592750023522 10964.7800 61204.7800 10996.3875 60729.4153 10998.1048 60703.6681750023522 11010.2446 60530.8717 11011.9707 60506.3241 11013.4886 60484.7386750023522 11062.4216 59788.9043 11081.9666 59511.4073 11083.7725 59485.7715750023522 11084.0217 59482.2432 11087.8846 59427.6254 11089.7563 59401.3579750023522 11091.7500 59373.3815 11123.7185 58924.8040 11127.5313 58871.5104750023522 11135.7323 58756.8873 11139.7374 58701.1330 11152.3345 58525.7859750023522 11216.2768 57640.9054 11220.1800 57586.9035 11252.5275 57139.3752750023522 11270.0327 56897.1971 11295.1136 56550.8366 11299.4362 56491.1468750023522 11302.0963 56454.4193 11303.1499 56440.7489 11308.3322 56373.5136750023522 11323.4656 56177.3813 11329.7516 56095.9272 11331.1587 56077.7116750023522 11341.9429 55938.7129 11346.1562 55884.6338 11350.1100 55833.9718750023522 11366.4559 55625.8519 11382.8190 55417.5158 11383.8480 55404.4148750023522 11395.1184 55261.5713 11411.5303 55053.5710 11432.8445 54784.3160750023522 11467.1561 54350.8963 11481.5400 54170.0136 11527.0609 53598.3897750023522 11554.7361 53250.8710 11573.5561 53014.5597 11612.3989 52528.3893750023522 11614.4900 52502.2166 11634.7734 52258.3428 11647.9674 52099.8214750023522 11649.0141 52087.2627 11662.4568 51925.9778 11664.7420 51898.5619750023522 11674.2186 51784.9040 11675.9606 51764.1211 11677.3326 51747.7553750023522 11681.5386 51697.8332 11695.6174 51532.1219 11717.9089 51269.7986750023522 11748.9800 50905.4025 11783.8962 50497.0515 11795.5692 50360.5379750023522 11816.8062 50112.5878 11827.4401 49988.5786 11831.9605 49935.8659750023522 11843.1414 49805.4865 11853.3900 49685.9820 11867.9339 49516.4038750023522 11868.9168 49505.4772 11885.0200 49326.6015 11936.4459 48757.6429750023522 11937.8209 48742.5248 11963.0000 48466.8044 11963.0000 67109.5765750023522 11966.5651 67058.5096 11971.6614 66985.5168 11980.2712 66862.2056750023522 11988.0938 66750.1708 11990.8569 66710.6321 11992.4074 66688.4457750023522 11993.0000 66679.9678 11996.7217 66626.9489 11998.6384 66599.6753750023522 12022.6400 66258.1651 12058.3870 65750.5282 12075.8206 65503.3062750023522 12080.0000 65444.2336 12094.2300 65243.1207 12099.2969 65173.7513750023522 12100.0000 65164.1256 12129.6970 64743.9560 12131.2700 64721.7007750023522 12161.8600 64291.0023 12164.2005 64258.1227 12189.2552 63907.0802750023522 12212.0938 63587.1197 12215.8919 63533.9116 12219.8550 63478.3935750023522 12226.2295 63389.1003 12228.9964 63350.3424 12232.0671 63307.3582750023522 12240.0000 63196.6525 12244.1827 63140.2545 12245.2821 63125.4329750023522 12259.3361 62936.5001 12276.1624 62710.5332 12283.1162 62617.2075750023522 12295.7758 62447.3243 12318.1902 62154.6869 12355.9173 61662.7714750023522 12357.3375 61644.2983 12395.5105 61147.7774 12400.0000 61089.5872750023522 12412.0243 60932.7500 12412.2426 60929.9028 12429.4847 60705.2582750023522 12436.4770 60614.6896 12445.1500 60502.3693 12474.8817 60117.3532750023522 12485.2177 59988.0088 12496.7474 59844.0227 12528.2558 59450.8057750023522 12530.5294 59422.4904 12531.0846 59415.5761 12532.0000 59404.1772750023522 12532.0000 68692.5154 12564.1174 68254.6961 12564.9321 68243.5906750023522 12589.2500 67912.5115 12600.0000 67766.1563 12607.3809 67665.7123750023522 12625.5442 67419.3339 12627.4667 67393.2564 12643.7278 67176.9159750023522 12645.1855 67157.5233 12646.8219 67135.7789 12662.8586 66922.7086750023522 12681.0226 66682.2304 12730.5957 66027.4503 12731.5282 66015.1356750023522 12735.0300 65968.9803 12763.7144 65592.0669 12785.5329 65305.3742750023522 12790.1277 65245.0003 12794.6176 65186.0057 12795.7584 65171.5290750023522 12820.0809 64862.8919 12835.0788 64672.5855 12867.1470 64265.9792750023522 12882.5000 64071.8157 12892.1165 63950.3057 12896.4042 63896.1542750023522 12926.6513 63515.0723 12943.3287 63304.9724 12944.3428 63292.2601750023522 12952.8605 63185.6416 12968.5232 62990.0867 12976.4065 62891.6620750023522 12976.5142 62890.3174 13022.5233 62329.0736 13031.6700 62217.7975750023522 13039.7860 62119.0744 13050.0000 61998.0308 13069.2343 61770.5943750023522 13070.4066 61756.7392 13088.0555 61548.1565 13110.1347 61287.3200750023522 13114.7542 61232.8782 13117.5117 61200.3814 13121.6533 61151.6994750023522 13126.6593 61092.8577 13140.5791 60929.2436 13153.2686 60780.1042750023522 13160.5563 60694.5047 13182.5700 60436.4267 13182.5719 60436.4044750023522 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