96-Cm-245 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 9.62450E+4 2.42960E+2 2 1 0 39640 1451 1 0.0 0.0 0 0 0 69640 1451 2 1.00000E+0 2.00000E+7 7 0 10 69640 1451 3 2.10000E+3 0.0 1 0 205 629640 1451 4 96-Cm-245 MINSK EVAL-NOV95 V.MASLOV ET AL 9640 1451 5 INDC(BLR)-3 DIST-JUN 0 REV2- 20000628 9640 1451 6 ----ENDF/B-VI MATERIAL 9640 9640 1451 7 -----INCIDENT NEUTRON DATA 9640 1451 8 ------ENDF-6 FORMAT 9640 1451 9 9640 1451 10 **************************************************************** 9640 1451 11 9640 1451 12 ENDF/B-VI MOD 3 Evaluation, July 1995 9640 1451 13 (V.M. Maslov, E.Sh. Sukhovitskii, Yu.V. Porodzinskii, 9640 1451 14 A.B. Klepatskii, G.B. Morogovskii, Radiation Physics 9640 1451 15 and Chemistry Problems Inst., Minsk-Sosny, Belorus) 9640 1451 16 9640 1451 17 The evaluation was made under Project Agreement CIS-03-95 9640 1451 18 with the International Science and Technology Center (Moscow), 9640 1451 19 and was financed by Japan (request of Y.Kikuchi, JAERI, Tokai). 9640 1451 20 9640 1451 21 MF=1 GENERAL INFORMATION 9640 1451 22 MT=452 NUMBER OF NEUTRONS PER FISSION 9640 1451 23 Sum of MT=455 and MT=456. 9640 1451 24 MT=455 DELAYED NEUTRON DATA 9640 1451 25 Decay constants from systematics of Brady et al. [1] and 9640 1451 26 Tuttle [2]. 9640 1451 27 MT=456 NUMBER OF NEUTRONS PER FISSION 9640 1451 28 Based on the experimental data of Khokhlov et al. [3] and 9640 1451 29 Madland-Nix model calculations [4]. Above emissive 9640 1451 30 fission threshold a superposition of neutron emission in 9640 1451 31 (n,xnf) reactions /5/ and prompt fission neutrons. 9640 1451 32 9640 1451 33 MF=2 RESONANCE PARAMETERS 9640 1451 34 MT=151 Single-level Breit-Wigner analysis. 9640 1451 35 Resolved resonance region (1.0E-5 - 100 eV) 9640 1451 36 Parameters for Breit-Wigner formula are based on the data 9640 1451 37 of Moore et al. [6] and Browne et al. [7]. 9640 1451 38 Unresolved resonance region (0.1 - 54.9553 keV). 9640 1451 39 Energy independent parameters: 9640 1451 40 R = 9.52044 fm from Optical Model calculations 9640 1451 41 S1 = 2.10E-4 from Optical Model calculations 9640 1451 42 S2 = 1.256-4 equals S0 taking into account missing 9640 1451 43 levels. 9640 1451 44 Energy dependent parameters: 9640 1451 45 S0: decreases from 1.256-4 at 0.1 keV to 1.172-4 at 9640 1451 46 55 keV) 9640 1451 47 D: spin dependent, normalized to = 0.698 eV 9640 1451 48 taking into account missing level [8] 9640 1451 49 WF: spin dependent as defined by the transition state 9640 1451 50 spectra at inner and outer barrier humps, normalized 9640 1451 51 to = 0.345 eV to fit unresolved resonance 9640 1451 52 region experimental fission data [6],[9],[10]. 9640 1451 53 WG: From Cascade Model taking into spin dependent 9640 1451 54 fission competition. Normalized to = 9640 1451 55 0.0378 eV. 9640 1451 56 9640 1451 57 Calculated 2200 m/s cross sections and resonance integrals. 9640 1451 58 9640 1451 59 2200 m/sec Res.Int. 9640 1451 60 ---------- -------- 9640 1451 61 Total 2512.500 b - 9640 1451 62 Elastic 10.973 b - 9640 1451 63 Fission 2142.382 b 793.927 9640 1451 64 Capture 359.145 b 105.404 9640 1451 65 9640 1451 66 MF=3 NEUTRON CROSS SECTIONS 9640 1451 67 MT=1,4,51-67,91,102. 9640 1451 68 Total, direct elastic and direct inelastic for MT=51,52, 9640 1451 69 53,55,61 and optical transmission coefficients from 9640 1451 70 Coupled Channels calculations. 9640 1451 71 Deformed optical potential used: 9640 1451 72 9640 1451 73 VR = 46.38-0.3*E(MeV) RR=1.26 fm AR=0.615 fm 9640 1451 74 WD = 3.71+0.4*E(MeV) E< 10 MeV RD=1.24 fm 9640 1451 75 WD = 7.77 E=>10 MeV AD=0.5 fm 9640 1451 76 VSO= 6.4 RSO=1.12 ASO=0.47 B2=0.233 B4=0.076 9640 1451 77 9640 1451 78 Capture, compound elastic and inelastic obtained using 9640 1451 79 Statistical Model, see MT=18-21. 9640 1451 80 Above neutron energy 5 MeV, Capture is assumed to be 9640 1451 81 0.0001 barn as predicted by direct and semi-direct 9640 1451 82 capture calculations. 9640 1451 83 Adopted level scheme of 245Cm taken from Nucl.Data Sheets 9640 1451 84 [11] (15 levels) plus 2 levels added for band k,p=7/2+ 9640 1451 85 according to EJ = A(J(J+1)-K(K+1)). 9640 1451 86 9640 1451 87 Level No. Energy(MeV) Spin-parity 9640 1451 88 g.s. 0.0 7/2 + 7/2 9640 1451 89 1 0.05473 9/2 + 7/2 9640 1451 90 2 0.1214 11/2 + 7/2 9640 1451 91 3 0.1971 13/2 + 7/2 9640 1451 92 4 0.25285 5/2 + 5/2 9640 1451 93 5 0.2923 15/2 + 7/2 * 9640 1451 94 6 0.29584 7/2 + 5/2 9640 1451 95 7 0.3505 9/2 + 5/2 9640 1451 96 8 0.35595 1/2 + 1/2 9640 1451 97 9 0.3615 3/2 + 1/2 9640 1451 98 10 0.38795 9/2 - 9/2 9640 1451 99 11 0.3957 17/2 + 7/2 * 9640 1451 100 12 0.417 11/2 + 5/2 9640 1451 101 13 0.4188 5/2 + 1/2 9640 1451 102 14 0.431 7/2 + 1/2 9640 1451 103 15 0.4428 11/2 - 9/2 9640 1451 104 16 0.4980 13/2 + 5/2 9640 1451 105 17 0.5087 13/2 - 9/2 9640 1451 106 * added 9640 1451 107 9640 1451 108 Overlapping levels are assumed above 0.50874 MeV. 9640 1451 109 Level density parameters: see MT 18-21. 9640 1451 110 MT=16,17. 9640 1451 111 From Statistical Model calculations [12] taking into 9640 1451 112 account pre-equilibrium neutron emission: see MT=18-21. 9640 1451 113 MT=18,19,20,21. 9640 1451 114 Based on data of Fomushkin et al. [12], White et al. [10] 9640 1451 115 and Fursov et al. [13]. 9640 1451 116 First chance fission (MT=19) is calculated with the level 9640 1451 117 density and fission barrier parameters: 9640 1451 118 9640 1451 119 Transition Spectra Band Heads of 246Cm 9640 1451 120 9640 1451 121 Inner Saddle Outer Saddle 9640 1451 122 K,P EKP K,P EKP 9640 1451 123 0 + 0.0 0 + 0.0 9640 1451 124 2 + 0.1 2 + 0.3 9640 1451 125 0 - 0.4 0 - 0.0 9640 1451 126 1 - 0.4 1 - 0.1 9640 1451 127 2 + 0.5 2 + 0.5 9640 1451 128 2 - 0.4 2 - 0.1 9640 1451 129 0 + 0.8 0 + 0.8 9640 1451 130 0 + 0.8 0 + 0.8 9640 1451 131 9640 1451 132 Fission Barrier Parameters of 246Cm 9640 1451 133 9640 1451 134 Barrier Barrier Height (MeV) Curvature (MeV) 9640 1451 135 Inner 6.00 0.9 9640 1451 136 Outer 4.80 0.6 9640 1451 137 9640 1451 138 The contribution of emissive fission to the total fission 9640 1451 139 cross section is calculated according to [14],[15]. 9640 1451 140 9640 1451 141 MF=4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 9640 1451 142 MT=2,51,53,57 from coupled channels calculations with added 9640 1451 143 isotropic statistical contribution. 9640 1451 144 MT=16,17,18,52,54-56,58-74,91,16 isotropic. 9640 1451 145 9640 1451 146 MF=5 ENERGY DISTRIBUTIONS OF SECONDARY NEUTRONS 9640 1451 147 MT=16,17,18,19,20,21 calculated using Cascade-Neutron 9640 1451 148 Emission Statistical Model taking into account the 9640 1451 149 history of the decay and allowing pre-equillibrium 9640 1451 150 emission of the first neutron [5]. 9640 1451 151 9640 1451 152 ---------------------------------------------------------------- 9640 1451 153 REFERENCES 9640 1451 154 9640 1451 155 1. M.C. Brady and T.R. England, Nucl.Sci.Eng. 103, 129 (1989). 9640 1451 156 2. R.J. Tuttle, Delayed Neutron Properties, Proc.Consultants' 9640 1451 157 Meeting, 1979, Vienna, IAEA report INDC(NDS)-107/G, p.29 9640 1451 158 3. Yu.A. Khokhlov et al., Nucl.Data for Sci. and Technology, 9640 1451 159 Proc.Int.Conf., Gatlinburg (1994) vol.1, p.272 9640 1451 160 4. D.G. Madland, J.R. Nix, Nucl.Sci.Eng. 81, 213, (1982) 9640 1451 161 5. Maslov V.M., Yu.V. Porodzinskii, E.Sh. Sukhovitskii, Neutron 9640 1451 162 Physics, Int. Conf., 14-18 Sept., Kiev, Ukraine (1988) vol.1,9640 1451 163 p.413 9640 1451 164 6. M.S. Moore and G.A. Keyworth, Phys.Rev.C, 3, 1656 (1971) 9640 1451 165 7. J.C. Browne, R.W. Benjamin, D.G. Karraker, Nucl.Sci.Eng. 65, 9640 1451 166 166 (1978) 9640 1451 167 8. Yu.V. Porodzinskii, E.Sh.Sukhovitskii, Yad.Konst. 4, 27 9640 1451 168 (1987). 9640 1451 169 9. V.F. Gerasimov, V.V. Danitchev, V.N.Dementiev, Neutron 9640 1451 170 Physics, Proc.Int.Conf., 14-18 Sept., Kiev, Ukraine, Vol.3 9640 1451 171 (1988) p.84. 9640 1451 172 10. R.M. White, J.C. Browne, Nucl. Data for Sci. and Technology, 9640 1451 173 Proc of Int. Conf., Antwerp (1983) p.218 9640 1451 174 11. Y.A. Ellis-Akovali, Nucl.Data Sheets 33, 119 (1981) 9640 1451 175 12. E.F. Fomushkin, Atomnaya En. 69, 258 (1990) 9640 1451 176 13. B.I. Fursov, et al., Nuclear Data for Sci. and Technology, 9640 1451 177 Proc.Int.Conf, Gatlinburg [American Nucl. Soc., 1994] p.269 9640 1451 178 14 A.V. Ignatjuk, V.M. Maslov, A.B. Pashchenko, Sov.J.Nucl.Phys.9640 1451 179 47, 224 (1988) 9640 1451 180 15. V.M. Maslov, Ann.Nucl.Energy, 20, 163 (1993) 9640 1451 181 9640 1451 182 ************************ C O N T E N T S *********************** 9640 1451 183 ***************** Program LINEAR (VERSION 2004-1) ***************9640 1451 184 For All Data Greater than 1.0000E-10 barns in Absolute Value 9640 1451 185 Data Linearized to Within an Accuracy of .100000000 per-cent 9640 1451 186 ***************** Program RECENT (VERSION 2004-1) ***************9640 1451 187 for All Data Greater than 1.0000E-10 barns in Absolute Value 9640 1451 188 Data Linearized to within an Accuracy of .100000000 per-cent 9640 1451 189 ***************** Program SIGMA1 (VERSION 2004-1) ***************9640 1451 190 Data Doppler Broadened to 2100.00000 Kelvin 9640 1451 191 for All Data Greater than 1.0000E-10 barns in Absolute Value 9640 1451 192 Data Linearized to Within an Accuracy pf .100000000 per-cent 9640 1451 193 ***************** Program FIXUP (Version 2004-1) ****************9640 1451 194 Corrected ZA/AWR in All Sections-----------------------------Yes 9640 1451 195 Corrected Thresholds-----------------------------------------No 9640 1451 196 Extended Cross Sections to 20 MeV----------------------------No 9640 1451 197 Allow Cross Section Deletion---------------------------------No 9640 1451 198 Allow Cross Section Reconstruction---------------------------Yes 9640 1451 199 Make All Cross Sections Non-Negative-------------------------Yes 9640 1451 200 Delete Energies Not in Ascending Order-----------------------Yes 9640 1451 201 Deleted Duplicate Points-------------------------------------Yes 9640 1451 202 Check for Ascending MAT/MF/MT Order--------------------------Yes 9640 1451 203 Check for Legal MF/MT Numbers--------------------------------Yes 9640 1451 204 Allow Creation of Missing Sections---------------------------No 9640 1451 205 Allow Insertion of Energy Points-----------------------------No 9640 1451 206 Create Uniform Energy Grid-----------------------------------No 9640 1451 207 Delete Section if Cross Section =0 at All Energies-----------Yes 9640 1451 208 **************** Program DICTIN (VERSION 2004-1) ****************9640 1451 209 1 451 271 39640 1451 210 1 452 6 39640 1451 211 1 455 7 39640 1451 212 1 456 6 39640 1451 213 2 151 425 39640 1451 214 3 1 1877 39640 1451 215 3 2 372 39640 1451 216 3 4 24 39640 1451 217 3 16 9 39640 1451 218 3 17 7 39640 1451 219 3 18 858 39640 1451 220 3 19 861 39640 1451 221 3 20 8 39640 1451 222 3 21 7 39640 1451 223 3 51 19 39640 1451 224 3 52 18 39640 1451 225 3 53 17 39640 1451 226 3 54 13 39640 1451 227 3 55 18 39640 1451 228 3 56 13 39640 1451 229 3 57 13 39640 1451 230 3 58 12 39640 1451 231 3 59 12 39640 1451 232 3 60 12 39640 1451 233 3 61 16 39640 1451 234 3 62 11 39640 1451 235 3 63 11 39640 1451 236 3 64 11 39640 1451 237 3 65 10 39640 1451 238 3 66 10 39640 1451 239 3 67 9 39640 1451 240 3 91 14 39640 1451 241 3 102 923 39640 1451 242 4 2 94 39640 1451 243 4 16 2 39640 1451 244 4 17 2 39640 1451 245 4 18 2 39640 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171.2655409640 3 1 1759 40.8176792 165.304441 40.8417092 159.289897 40.8447606 158.5216229640 3 1 1760 40.9004490 144.471843 40.9366846 135.275219 40.9504160 131.8031089640 3 1 1761 40.9671988 127.764499 40.9938988 121.303592 41.0053416 118.5485269640 3 1 1762 41.0322548 112.477682 41.0434843 109.958181 41.0708242 104.2073659640 3 1 1763 41.0816271 101.947551 41.0997512 98.4134896 41.1102342 96.38025579640 3 1 1764 41.1238522 93.9194854 41.1286782 93.0445188 41.1418800 90.66485299640 3 1 1765 41.1576052 88.0555923 41.1750453 85.1802483 41.1875824 83.29381419640 3 1 1766 41.2082106 80.2117211 41.2180848 78.8732894 41.2413759 75.73988709640 3 1 1767 41.2485870 74.8643602 41.2745412 71.7378646 41.2790894 71.24528879640 3 1 1768 41.3072809 68.2168151 41.3095917 67.9940126 41.3391697 65.16727039640 3 1 1769 41.3447155 64.6924361 41.3710585 62.4564690 41.3742935 62.21241309640 3 1 1770 41.4057202 59.8616948 41.4094174 59.6132736 41.4297523 58.25962439640 3 1 1771 41.4482386 57.1624250 41.4667248 56.0766548 41.4988909 54.45836549640 3 1 1772 41.5036973 54.2192828 41.5295780 53.0969839 41.5480643 52.40826879640 3 1 1773 41.5665505 51.7292520 41.6010678 50.6987003 41.6014237 50.69030389640 3 1 1774 41.6302537 50.0254234 41.6453806 49.7667109 41.6587278 49.54552449640 3 1 1775 41.6825305 49.3106430 41.6906499 49.2354648 41.7011053 49.19125189640 3 1 1776 41.7201251 49.1996015 41.7272436 49.2077947 41.7534932 49.44562399640 3 1 1777 41.7586096 49.4961294 41.7868612 50.0322975 41.7874174 50.04332779640 3 1 1778 41.8135556 50.8063790 41.8135557 50.8063820 41.8149461 50.84882889640 3 1 1779 41.8402501 51.8726856 41.8424747 51.9649156 41.8691691 53.36536639640 3 1 1780 41.8716718 53.4991590 41.8911365 54.7337654 41.8914145 54.75370199640 3 1 1781 41.9106011 56.1473872 41.9136599 56.3961884 41.9310618 57.82847819640 3 1 1782 41.9318231 57.8981893 41.9359053 58.2752056 41.9525186 59.82643319640 3 1 1783 41.9589387 60.4868666 41.9739753 62.0497876 41.9827601 63.04519829640 3 1 1784 41.9954321 64.4949107 42.0001349 65.0797917 42.0065816 65.88735889640 3 1 1785 42.0212243 67.7373697 42.0304030 68.9980684 42.0513521 71.89854959640 3 1 1786 42.0573776 72.7958923 42.0603904 73.2480526 42.0814798 76.42976099640 3 1 1787 42.0875054 77.3997369 42.0905181 77.8879800 42.1176331 82.30656039640 3 1 1788 42.1266714 83.7893271 42.1507736 87.8945600 42.1628247 89.96218909640 3 1 1789 42.2110291 98.2814197 42.2230802 100.374630 42.2306122 101.6184529640 3 1 1790 42.2562208 105.852065 42.2652591 107.241186 42.2893613 110.9697169640 3 1 1791 42.3134635 114.357811 42.3164763 114.778984 42.3435912 118.1533389640 3 1 1792 42.3484116 118.663621 42.3743215 121.416780 42.3942058 123.0759419640 3 1 1793 42.4086671 124.275670 42.4424102 126.233674 42.4725380 127.2803259640 3 1 1794 42.4785635 127.412617 42.4882044 127.511313 42.5026657 127.6480339640 3 1 1795 42.5074862 127.699888 42.5364088 127.491442 42.5484599 127.1963739640 3 1 1796 42.5602098 126.899221 42.5725621 126.610507 42.6026899 125.4090879640 3 1 1797 42.6177538 124.824472 42.6418560 123.554990 42.6870476 121.2803759640 3 1 1798 42.6930731 120.972528 42.7639622 117.520956 42.7667718 117.3850049640 3 1 1799 42.8179744 115.205048 42.8249857 114.960560 42.8623795 113.5758969640 3 1 1800 42.8974362 112.164578 42.8997733 112.060659 42.9296883 110.7952599640 3 1 1801 42.9377514 110.415194 42.9596034 109.393201 42.9876487 107.9355709640 3 1 1802 42.9923229 107.670375 43.0082153 106.648927 43.0328952 104.9475009640 3 1 1803 43.0493485 103.731959 43.0549575 103.270618 43.0848726 100.6456659640 3 1 1804 43.0867423 100.470471 43.1129179 97.8397465 43.1185270 97.24166629640 3 1 1805 43.1400284 94.7985014 43.1615299 92.2472837 43.1708783 91.07427749640 3 1 1806 43.1989237 87.4196667 43.2059351 86.4989736 43.2082721 86.18237629640 3 1 1807 43.2456660 80.9607804 43.2643628 78.2930898 43.3017567 72.92090909640 3 1 1808 43.3181165 70.5624410 43.3344762 68.2872148 43.3601845 64.68857679640 3 1 1809 43.3648587 64.0425621 43.3952412 60.0525452 43.3999154 59.44785039640 3 1 1810 43.4045896 58.8786264 43.4186123 57.1598627 43.4349721 55.19149959640 3 1 1811 43.4491482 53.5874442 43.4583432 52.5694948 43.4706423 51.29559789640 3 1 1812 43.4889380 49.4403606 43.4921365 49.1419420 43.5136307 47.18502969640 3 1 1813 43.5147560 47.0851611 43.5173020 46.8583038 43.5351248 45.41177679640 3 1 1814 43.5456658 44.5804668 43.5566189 43.8035617 43.5740297 42.60813309640 3 1 1815 43.5781802 42.3555903 43.5943512 41.4030806 43.6023936 40.94238229640 3 1 1816 43.6105222 40.5285025 43.6213028 39.9964924 43.6266932 39.75912129640 3 1 1817 43.6428641 39.0714531 43.6590351 38.4964436 43.6644254 38.31224689640 3 1 1818 43.6752061 38.0016892 43.6859867 37.7053747 43.6913771 37.58534749640 3 1 1819 43.7075480 37.2455713 43.7237190 37.0072794 43.7291093 36.93440949640 3 1 1820 43.7425852 36.8192021 43.7506706 36.7603768 43.7627989 36.73648459640 3 1 1821 43.7722319 36.7295012 43.7830126 36.7733065 43.7937932 36.82946819640 3 1 1822 43.8032263 36.9234760 43.8153545 37.0573179 43.8234400 37.18480709640 3 1 1823 43.8369158 37.4107764 43.8436538 37.5596162 43.8638675 38.02511659640 3 1 1824 43.8773433 38.4254594 43.8908191 38.8353140 43.8975570 39.08057179640 3 1 1825 43.9123804 39.6321250 43.9177707 39.8356834 43.9379844 40.73674819640 3 1 1826 43.9447223 41.0420669 43.9581982 41.7348068 43.9716740 42.43860589640 3 1 1827 43.9851498 43.2248134 43.9986256 44.0230798 44.0121014 44.90344659640 3 1 1828 44.0201869 45.4385439 44.0255772 45.7984545 44.0390530 46.77913659640 3 1 1829 44.0525288 47.7702919 44.0639833 48.6860115 44.0848708 50.37324899640 3 1 1830 44.0983466 51.5503617 44.1010418 51.7881805 44.1172127 53.22638079640 3 1 1831 44.1327100 54.7105198 44.1603353 57.3778672 44.1670733 58.07095209640 3 1 1832 44.1818966 59.6069693 44.2034579 61.8578663 44.2128911 62.88562119640 3 1 1833 44.2465805 66.5798220 44.2762274 69.8534133 44.3112644 73.72975949640 3 1 1834 44.3328257 76.1312604 44.3657068 79.6026192 44.3716360 80.22538169640 3 1 1835 44.3781045 80.9098563 44.4099074 83.9903260 44.4233832 85.28417379640 3 1 1836 44.4535690 87.8796904 44.4600374 88.3616898 44.4880671 90.44537359640 3 1 1837 44.4945355 90.9196642 44.5268774 92.8615608 44.5311897 93.06840119640 3 1 1838 44.5563086 94.2383030 44.5753904 94.8762540 44.5915613 95.39663279640 3 1 1839 44.6044981 95.6334958 44.6217471 95.9272656 44.6239033 95.96373299640 3 1 1840 44.6346839 96.0516136 44.6476207 96.0467095 44.6670259 96.01098909640 3 1 1841 44.6864311 95.7486877 44.6961336 95.6086402 44.6993678 95.52448349640 3 1 1842 44.7327878 94.6247328 44.7381782 94.4140416 44.7489588 93.97844189640 3 1 1843 44.7732153 92.9806849 44.7769885 92.7826673 44.8117561 90.91618079640 3 1 1844 44.8174160 90.6055074 44.8503596 88.4670920 44.8541187 88.22009989640 3 1 1845 44.8676258 87.3179363 44.8848920 86.0171886 44.9309352 82.49946209640 3 1 1846 44.9343884 82.2314335 44.9378417 81.9456646 44.9815827 78.29525409640 3 1 1847 45.0112806 75.7839889 45.0345324 73.8019286 45.0782734 70.03342969640 3 1 1848 45.0966907 68.5209083 45.1012951 68.1403737 45.1381296 65.07222689640 3 1 1849 45.1812951 61.7207430 45.1841728 61.5153412 45.2244606 58.61578559640 3 1 1850 45.2274719 58.4173875 45.2532376 56.7318914 45.2685793 55.81604859640 3 1 1851 45.2855206 54.8135057 45.3001545 54.0420256 45.3048989 53.79479279640 3 1 1852 45.3178035 53.1179048 45.3359001 52.2910423 45.3500864 51.65344319640 3 1 1853 45.3716456 50.8338391 45.3823693 50.4338237 45.3984548 49.93929789640 3 1 1854 45.4109657 49.5626963 45.4252639 49.2284375 45.4458177 48.76180929640 3 1 1855 45.4538604 48.6363721 45.4806696 48.2368530 45.4824568 48.22021529640 3 1 1856 45.5039042 48.0350749 45.5110533 48.0102538 45.5387561 47.93200869640 3 1 1857 45.5396497 47.9344582 45.5736080 48.0501099 45.5739655 48.05317719640 3 1 1858 45.5854041 48.1588317 45.6082813 48.3820156 45.6154303 48.45587529640 3 1 1859 45.6425970 48.8721992 45.6711934 49.3244113 45.6769127 49.43644659640 3 1 1860 45.7112285 50.1223941 45.7226670 50.3546296 45.7455442 50.83188199640 3 1 1861 45.7912985 51.7983221 45.8542107 53.1398113 45.8570703 53.19021639640 3 1 1862 45.8713685 53.4431100 45.8999650 53.9579252 45.9088299 54.11689689640 3 1 1863 45.9600176 54.8444512 45.9971929 55.2319087 46.0086315 55.34913149640 3 1 1864 46.0658244 55.7174819 46.0944209 55.7975611 46.1344559 55.90597629640 3 1 1865 46.1573330 55.9147932 46.1921377 55.9176209 46.2751615 55.93262169640 3 1 1866 46.3005035 55.9412323 46.3097187 55.9458904 46.3327569 56.03047949640 3 1 1867 46.3511875 56.0916381 46.3880486 56.2230409 46.3926563 56.26011749640 3 1 1868 46.4341250 56.6048055 46.4571632 56.8036873 46.4802014 57.12488829640 3 1 1869 46.5262778 57.7847314 46.5599136 58.4674217 46.5852556 58.99126629640 3 1 1870 46.6027646 59.4542245 46.6064507 59.5534200 46.6451549 60.59554729640 3 1 1871 46.6483802 60.6990914 46.6829375 61.8244942 46.7174948 63.13380749640 3 1 1872 46.7290139 63.5756423 46.7520521 64.5962882 46.7750903 65.62865629640 3 1 1873 46.7866094 66.2209671 46.8200149 67.9571539 46.8211667 68.02550039640 3 1 1874 46.8593489 70.3320814 46.8649394 70.6738254 46.8948890 72.70796919640 3 1 1875 46.8975311 72.9064048 46.9377963 75.9623719 46.9407584 76.21639159640 3 1 1876 46.9674171 78.5165384 46.9822275 79.8054539 46.9973341 81.27274469640 3 1 1877 47.0081457 82.3296855 47.0325829 84.7387017 47.0473933 86.34985299640 3 1 1878 47.0770141 89.5912058 47.0844193 90.4129542 47.1273695 95.56125649640 3 1 1879 47.1481040 98.0548903 47.1532877 98.6955985 47.2221560 107.2779059640 3 1 1880 47.2388177 109.370183 47.2393830 109.440674 47.2901938 115.3512829640 3 1 1881 47.2910637 115.451275 47.3328855 119.733413 47.3344680 119.8692219640 3 1 1882 47.3725974 123.076417 47.3742552 123.185187 47.4080141 125.3364859640 3 1 1883 47.4104255 125.446400 47.4357447 126.557156 47.4369503 126.6082389640 3 1 1884 47.4610639 127.155304 47.4731206 127.412281 47.4808369 127.4613119640 3 1 1885 47.4851773 127.482470 47.5031419 127.328335 47.5092908 127.2704459640 3 1 1886 47.5165249 127.190837 47.5334043 126.721502 47.5406384 126.5092209640 3 1 1887 47.5623405 125.514529 47.5743973 124.943067 47.5756030 124.8627379640 3 1 1888 47.5912767 123.803994 47.6165959 122.053035 47.6298583 120.8886729640 3 1 1889 47.6587945 118.309502 47.6618088 118.037684 47.6768797 116.4721549640 3 1 1890 47.7009932 113.939568 47.7281209 111.067462 47.7793620 105.4602699640 3 1 1891 47.8120248 101.854521 47.8202688 101.031138 47.8446875 98.60864239640 3 1 1892 47.8610189 96.9757482 47.8665150 96.4887842 47.8936817 94.10811429640 3 1 1893 47.9082007 92.9886772 47.9100130 92.8507186 47.9245124 91.74114309640 3 1 1894 47.9394649 90.7566982 47.9535111 89.8432460 47.9637513 89.28653469640 3 1 1895 47.9825098 88.2812463 47.9914813 87.8957349 48.0115085 87.05160139640 3 1 1896 48.0192113 86.8118575 48.0448570 86.0340852 48.0469413 85.99529549640 3 1 1897 48.0753056 85.4890748 48.0825553 85.3649331 48.1014044 85.20329179640 3 1 1898 48.1043043 85.2015408 48.1202536 85.2027448 48.1347529 85.21231919640 3 1 1899 48.1420026 85.2215828 48.1652016 85.4727538 48.1841957 85.69076989640 3 1 1900 48.2101496 86.2259605 48.2275488 86.5961158 48.2434981 86.94450929640 3 1 1901 48.2579974 87.3794217 48.2782965 87.9963032 48.3101424 88.97387259640 3 1 1902 48.3188406 89.2969965 48.3217649 89.4071127 48.3912727 92.05639259640 3 1 1903 48.3934470 92.1402910 48.4434545 94.3385926 48.4532387 94.77350309640 3 1 1904 48.4782425 95.8954146 48.5086819 97.4198643 48.5573849 99.88165969640 3 1 1905 48.5739091 100.808013 48.5982606 102.184999 48.6247864 103.6956009640 3 1 1906 48.6260909 103.770488 48.6782727 107.112950 48.6782728 107.1129569640 3 1 1907 48.7130606 109.372000 48.7435000 111.573826 48.7652425 113.1587129640 3 1 1908 48.8000303 115.713761 48.8217727 117.430642 48.8739546 121.5753189640 3 1 1909 48.9391819 126.794256 49.0009416 131.770143 49.0310614 133.9355329640 3 1 1910 49.0864311 137.922226 49.0943411 138.399388 49.1338909 140.7599489640 3 1 1911 49.1418008 141.127425 49.1457558 141.312413 49.1971705 143.6759249640 3 1 1912 49.2050805 143.927568 49.2367203 144.908062 49.2446303 145.0387509640 3 1 1913 49.2944630 145.819788 49.3000000 145.850469 49.3039550 145.8695939640 3 1 1914 49.3227412 145.813506 49.3474598 145.725144 49.3553697 145.5841079640 3 1 1915 49.3672347 145.366567 49.4067845 144.608189 49.4265594 143.9512529640 3 1 1916 49.4344693 143.681819 49.4661092 142.583507 49.4918166 141.3963219640 3 1 1917 49.5293889 139.635899 49.5412538 139.071066 49.5689386 137.5636109640 3 1 1918 49.6183759 134.853787 49.7142473 129.535245 49.7852290 125.9133299640 3 1 1919 49.7900016 125.703539 49.8663647 122.372182 49.8782964 121.9435789640 3 1 1920 49.9427278 119.638716 50.0014318 117.980658 50.0381815 116.9529139640 3 1 1921 50.1145446 115.358396 50.1431807 114.767040 50.1953957 113.9874319640 3 1 1922 50.2477537 113.221444 50.2665598 112.950641 50.3751954 111.5909719640 3 1 1923 50.4375272 110.822163 50.4802690 110.302855 50.5778629 108.5520399640 3 1 1924 50.5828495 108.461701 50.6868546 105.927305 50.7367201 104.5387839640 3 1 1925 50.7509674 104.144275 50.8506983 101.339745 50.8791929 100.5464039640 3 1 1926 50.8934402 100.143853 50.9258615 99.4516473 50.9788210 98.33884429640 3 1 1927 51.0010247 98.0472373 51.0428566 97.5132762 51.0642018 97.40316089640 3 1 1928 51.1040600 97.2096093 51.1092873 97.2163179 51.1439181 97.27123289640 3 1 1929 51.1769155 97.5371876 51.2236344 97.9285321 51.2445436 98.25674089640 3 1 1930 51.2654528 98.5909385 51.3412487 99.8339249 51.3543169 100.0678009640 3 1 1931 51.4327264 101.480339 51.4849994 102.435770 51.5430225 103.2148639640 3 1 1932 51.5634089 103.485469 51.6522730 104.166557 51.6940914 104.2477299640 3 1 1933 51.7777282 104.384053 51.8090920 104.441686 51.8665923 104.5218339640 3 1 1934 51.9005698 104.581154 51.9214790 104.737305 51.9554564 105.0044839640 3 1 1935 51.9632974 105.063106 51.9763656 105.248622 52.0207977 105.9032609640 3 1 1936 52.0387116 106.318060 52.0802755 107.303942 52.0824084 107.3556209640 3 1 1937 52.1218395 108.719224 52.1481294 109.645039 52.1749643 110.8972069640 3 1 1938 52.2134910 112.723059 52.2234787 113.311847 52.2557424 115.2375489640 3 1 1939 52.2719930 116.213791 52.2784932 116.608895 52.3142444 119.1832379640 3 1 1940 52.3434954 121.309085 52.3564958 122.391934 52.3922471 125.3954079640 3 1 1941 52.4052475 126.495361 52.4084976 126.772637 52.4481489 130.5734649640 3 1 1942 52.4832501 133.962200 52.4969006 135.413480 52.4995007 135.6909629640 3 1 1943 52.5203014 137.926691 52.5515024 141.290844 52.5645029 142.8200129640 3 1 1944 52.5905037 145.896743 52.6295051 150.534031 52.6490057 152.8641499640 3 1 1945 52.6620062 154.540727 52.7228555 162.430025 52.7425382 164.9866559640 3 1 1946 52.7523796 166.272427 52.8114278 174.459183 52.8921270 185.7156989640 3 1 1947 52.9105795 188.307740 52.9688895 196.881638 52.9787309 198.3378369640 3 1 1948 53.0254774 205.241180 53.0829987 213.786225 53.1085356 217.6072669640 3 1 1949 53.1520901 224.180897 53.2217773 234.787932 53.2566209 240.1351619640 3 1 1950 53.2827536 244.125771 53.3306635 250.677561 53.3567962 254.2168319640 3 1 1951 53.3649628 255.332418 53.3894621 258.011715 53.4286612 262.2360199640 3 1 1952 53.4293598 262.291300 53.4478177 263.719327 53.4671734 265.2230729640 3 1 1953 53.4699561 265.354358 53.5085791 267.094360 53.5138836 267.3208169640 3 1 1954 53.5261805 267.551415 53.5452287 267.417185 53.5712692 267.1658949640 3 1 1955 53.5828428 266.588838 53.6098478 265.127315 53.6214214 264.0322539640 3 1 1956 53.6513198 261.109434 53.6580711 260.157342 53.6627005 259.4953339640 3 1 1957 53.6908629 255.390884 53.6947207 254.818791 53.7217258 249.7252979640 3 1 1958 53.7294415 248.254385 53.7332993 247.508794 53.7641623 240.4772609640 3 1 1959 53.7680201 239.590149 53.7709135 238.919243 53.7950251 232.6493499640 3 1 1960 53.8032231 230.501723 53.8143144 227.326646 53.8336037 221.7694809640 3 1 1961 53.8427662 219.113204 53.8524108 216.108546 53.8770047 208.3964739640 3 1 1962 53.8866494 205.357126 53.9090732 197.907528 53.9469284 185.2582739640 3 1 1963 53.9493395 184.448603 53.9999740 167.428426 54.0361414 155.2018939640 3 1 1964 54.0373470 154.795669 54.0747200 142.758395 54.0843646 139.6355589640 3 1 1965 54.1229432 127.855031 54.1615218 116.849206 54.1711665 114.2839129640 3 1 1966 54.1904558 109.137998 54.2193897 101.920609 54.2435014 96.34469929640 3 1 1967 54.2507349 94.6793914 54.2676130 91.0575568 54.2748465 89.51270279640 3 1 1968 54.2917246 86.1333920 54.2989581 84.6923040 54.3158362 81.54896919640 3 1 1969 54.3230697 80.2087771 54.3399479 77.2928986 54.3471814 76.04990819640 3 1 1970 54.3640595 73.3514834 54.3712930 72.2057802 54.3881711 69.72394279640 3 1 1971 54.3954046 68.6662838 54.4122827 66.3787530 54.4195162 65.40399879640 3 1 1972 54.4363944 63.2983556 54.4436279 62.4011811 54.4605060 60.46487289640 3 1 1973 54.4677395 59.6454506 54.4846176 57.8789356 54.4918511 57.12634789640 3 1 1974 54.5087292 55.5044030 54.5159627 54.8134142 54.5328409 53.32421229640 3 1 1975 54.5400744 52.6897729 54.5569525 51.3220565 54.5641860 50.74475449640 3 1 1976 54.5810641 49.5004732 54.5882976 48.9703657 54.6051757 47.82696099640 3 1 1977 54.6124092 47.3403683 54.6395348 45.6845193 54.6489354 45.11532189640 3 1 1978 54.6509878 45.0045842 54.6738939 43.7860098 54.6856409 43.16615469640 3 1 1979 54.7082530 42.1016163 54.7223463 41.4434402 54.7426120 40.59622829640 3 1 1980 54.7590518 39.9143860 54.7769711 39.2468434 54.7884241 38.82351589640 3 1 1981 54.7957572 38.5573370 54.8113302 38.0489824 54.8324627 37.36458899640 3 1 1982 54.8456893 36.9783078 54.8691682 36.2980158 54.8800483 36.01310469640 3 1 1983 54.9058737 35.3430413 54.9258604 34.8737444 54.9425791 34.49273199640 3 1 1984 54.9716724 33.9036633 54.9915197 33.5064572 55.0201300 33.00606909640 3 1 1985 55.0380786 32.6962613 55.0624003 32.3291699 55.0685876 32.23805399640 3 1 1986 55.0822558 32.0398643 55.1170452 31.6037969 55.1264330 31.48812509640 3 1 1987 55.1574265 31.1646309 55.1706102 31.0297297 55.1978077 30.80198859640 3 1 1988 55.2147874 30.6631781 55.2301127 30.5668206 55.2589646 30.39187819640 3 1 1989 55.2725542 30.3362340 55.3031418 30.2196645 55.3149956 30.19292499640 3 1 1990 55.3252304 30.1725447 55.3345838 30.1694471 55.3432898 30.16883099640 3 1 1991 55.3694075 30.1731037 55.3715841 30.1787459 55.3998783 30.25933439640 3 1 1992 55.4151137 30.3069829 55.4281726 30.3784256 55.4488491 30.49782159640 3 1 1993 55.4564668 30.5590777 55.4858493 30.8057924 55.4891141 30.84153149640 3 1 1994 55.5217613 31.2123750 55.5228495 31.2252189 55.5544085 31.68373269640 3 1 1995 55.5598497 31.7653521 55.5870557 32.2553191 55.5957616 32.41640489640 3 1 1996 55.6001146 32.4985769 55.6197029 32.9173540 55.6218794 32.96498969640 3 1 1997 55.6523502 33.7136214 55.6654090 34.0411283 55.6849974 34.60197639640 3 1 1998 55.7089386 35.2994362 55.7176446 35.5825010 55.7502918 36.65949279640 3 1 1999 55.7524682 36.7322297 55.7698801 37.3667429 55.7829390 37.84988489640 3 1 2000 55.7959979 38.3382668 55.8221157 39.3907538 55.8612923 40.98490449640 3 1 2001 55.8895866 42.1798236 55.8917631 42.2729593 55.9657634 45.44191729640 3 1 2002 55.9744693 45.8106881 55.9875282 46.3325558 56.0092930 47.21497919640 3 1 2003 56.0223519 47.7358407 56.0502109 48.7551296 56.0615286 49.15961699640 3 1 2004 56.0885169 50.0144416 56.1007052 50.3890572 56.1215994 50.91973039640 3 1 2005 56.1268230 51.0476243 56.1451055 51.5014657 56.1494584 51.58517599640 3 1 2006 56.1773174 52.0938972 56.1807998 52.1389952 56.2121411 52.50878719640 3 1 2007 56.2156235 52.5284194 56.2434824 52.6540732 56.2521884 52.68347059640 3 1 2008 56.2565414 52.6821501 56.2783061 52.5982582 56.2957180 52.50971329640 3 1 2009 56.2992003 52.4695028 56.3131298 52.3039125 56.3392476 51.96127229640 3 1 2010 56.3523065 51.7090029 56.3840831 51.0610638 56.4215186 50.08156079640 3 1 2011 56.4315304 49.7742597 56.4641776 48.7527482 56.5120602 47.06888909640 3 1 2012 56.5185896 46.8365198 56.5360015 46.2072000 56.6056489 43.64831229640 3 1 2013 56.6230608 42.9973966 56.6339432 42.6163852 56.6665904 41.48391979640 3 1 2014 56.6731198 41.2764981 56.7101200 40.1173550 56.7144730 39.99746789640 3 1 2015 56.7362378 39.4089953 56.7471202 39.1082604 56.7558262 38.87206599640 3 1 2016 56.7797674 38.3301538 56.8015322 37.8493109 56.8124146 37.65991889640 3 1 2017 56.8428854 37.1468339 56.8450618 37.1193349 56.8668266 36.85642709640 3 1 2018 56.8755326 36.7472304 56.9016503 36.5327726 56.9081798 36.48213379640 3 1 2019 56.9277681 36.4071222 56.9408270 36.3629754 56.9538859 36.37127449640 3 1 2020 56.9734742 36.3923443 56.9800037 36.4262628 57.0061214 36.57318559640 3 1 2021 57.0365822 36.8834551 57.0409451 36.9479457 57.0670430 37.32301289640 3 1 2022 57.0784658 37.5401331 57.0975038 37.9064837 57.1279645 38.64319509640 3 1 2023 57.1584253 39.5428505 57.1888860 40.6176134 57.2193468 41.88242199640 3 1 2024 57.2284977 42.3248775 57.2498075 43.3496739 57.2755624 44.76613229640 3 1 2025 57.3013172 46.3611569 57.3270720 48.1513433 57.3528268 50.15515259640 3 1 2026 57.3785816 52.3929181 57.4043364 54.8868080 57.4300912 57.66073579640 3 1 2027 57.4455441 59.5084243 57.4558460 60.7433990 57.4816009 64.16330009640 3 1 2028 57.5073557 67.9436190 57.5228086 70.4452938 57.5331105 72.11834449640 3 1 2029 57.5588653 76.7190669 57.5743182 79.7475467 57.5846201 81.77338709640 3 1 2030 57.6103749 87.3124259 57.6258278 90.9361057 57.6361297 93.36156629640 3 1 2031 57.6618845 99.9491135 57.6773374 104.261368 57.6927903 108.5875289640 3 1 2032 57.7030922 111.741331 57.7236961 118.067083 57.7397929 123.4380579640 3 1 2033 57.7546019 128.397048 57.7764935 136.311471 57.7855076 139.5827459640 3 1 2034 57.8131941 150.354237 57.8164134 151.611723 57.8421682 162.4073329640 3 1 2035 57.8498947 165.657682 57.8576211 168.921290 57.8730740 175.9018359640 3 1 2036 57.8865953 182.035093 57.9039798 189.947801 57.9117063 193.6759849640 3 1 2037 57.9194327 197.414546 57.9374611 206.173685 57.9619281 218.0955699640 3 1 2038 57.9632159 218.744006 57.9735178 223.946108 57.9889707 231.7713339640 3 1 2039 58.0184600 246.750491 58.0528426 264.276788 58.0872253 281.8674259640 3 1 2040 58.0873541 281.933537 58.1095032 292.684989 58.1182598 296.9203549640 3 1 2041 58.1471052 310.919176 58.1574072 315.470529 58.1625581 317.7542379640 3 1 2042 58.1934638 331.387431 58.1975847 332.986190 58.2346715 347.4312169640 3 1 2043 58.2655773 357.788811 58.2688740 358.707862 58.2758792 360.6645509640 3 1 2044 58.3047247 368.594719 58.3150266 370.789838 58.3356305 375.0910699640 3 1 2045 58.3459324 376.640716 58.3665362 379.650622 58.3706570 379.9791869640 3 1 2046 58.3799287 380.705065 58.4031150 382.421418 58.4067137 382.5347709640 3 1 2047 58.4090421 382.599608 58.4242461 382.479527 58.4305460 382.4162729640 3 1 2048 58.4386776 382.301934 58.4618653 380.486569 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