22-Ti- 46 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2009 1 0 0 0 22046.0000 45.5579000 2 0 0 32225 1451 1 0.0 0.0 0 0 0 62225 1451 2 1.00000000 20000000.0 3 0 10 72225 1451 3 1800.00000 0.0 1 0 232 852225 1451 4 22-Ti- 46 KUR EVAL-SEP88 K.Kobayashi(KUR),H.Hashikura(TOK)2225 1451 5 DIST-DEC06 REV3-DEC01 20011226 2225 1451 6 ----ENDF/B-VII MATERIAL 2225 REVISION 3 2225 1451 7 -----INCIDENT NEUTRON DATA 2225 1451 8 ------ENDF-6 FORMAT 2225 1451 9 2225 1451 10 ***************************** ENDF/B-VII *************************2225 1451 11 ** **2225 1451 12 ** Original data taken from: JENDL-3.3 **2225 1451 13 ** **2225 1451 14 ******************************************************************2225 1451 15 HISTORY 2225 1451 16 88-09 Compiled by T.Asami(nedac) 2225 1451 17 93-11 JENDL-3.2 2225 1451 18 Data were adopted from JENDL fusion file. 2225 1451 19 Compiled by T.Nakagawa 2225 1451 20 00-03 Reevaluation was made by T.Asami. 2225 1451 21 01-11 Compiled by K.Shibata (ndc/jaeri) 2225 1451 22 2225 1451 23 ***** modified parts for JENDL-3.3 ******************** 2225 1451 24 (2,151) modified 2225 1451 25 (3,2) re-calculated 2225 1451 26 (3,16,102,103) revised 2225 1451 27 (3,104,105,111,203,207) evaluated newly 2225 1451 28 (3,251) deleted 2225 1451 29 (4,2) revised 2225 1451 30 (4,16,22,28,91) deleted 2225 1451 31 (5,16,22,28,91) deleted 2225 1451 32 (6,16,22,28,91) taken from JENDL fusion file 2225 1451 33 (6,203, 207) taken from JENDL fusion file 2225 1451 34 (12,16-107) evaluated newly 2225 1451 35 (14,16-107) isotropic distributions 2225 1451 36 (15,16-107) evaluated newly 2225 1451 37 *********************************************************** 2225 1451 38 2225 1451 39 2225 1451 40 mf=1 General information 2225 1451 41 mt=451 Descriptive data and dictionary 2225 1451 42 2225 1451 43 mf=2 Resonance parameters 2225 1451 44 mt=151 Resolved resonance parameters 2225 1451 45 Resolved parameters for MLBW formula were given in the energy 2225 1451 46 region from 1.0e-5 eV to 300 keV. Parameters were taken from 2225 1451 47 ref./5/, for positive resonances. Parameters for negative 2225 1451 48 resonance were obtained so that the reproduced cross sections 2225 1451 49 for both scattering and capture gave the 2200 m/s values of 2225 1451 50 2.78+-0.24 and 0.59+-0.18 barn, respectively/5/. The scatter-2225 1451 51 ing radius was assumed to be 4.5 fermi instead of 3.5 fermi in2225 1451 52 ref./5/. Calculated 2200 m/sec cross sections and resonance 2225 1451 53 integrals are as follows: 2225 1451 54 2225 1451 55 2200 m/s cross section(b) res. integral(b) 2225 1451 56 elastic 3.68 2225 1451 57 capture 0.576 0.34 2225 1451 58 total 4.26 2225 1451 59 2225 1451 60 mf=3 Neutron cross sections 2225 1451 61 Below 300 keV, no background cross section was given. 2225 1451 62 2225 1451 63 The calculation with sincros-ii system/2/ was made by adopting 2225 1451 64 Walter-Guss omp modified by Yamamuro/2/ for neutron, Perey omp 2225 1451 65 /6/ for proton, Lemos omp modified by Arthur and Young/7/ 2225 1451 66 for alpha, Lohr-Haeberli omp/8/ for deuteron, Becchettii- 2225 1451 67 Greenlees omp/9/ for triton and he-3, and standard level 2225 1451 68 density parameters of sincros-ii system. 2225 1451 69 2225 1451 70 mt=1 Total 2225 1451 71 Below 300 keV, created from the resonance parameters 2225 1451 72 Above 300 keV, optical and statistical model calculation was 2225 1451 73 made with the casthy code/10/. 2225 1451 74 The optical potential parameters used are: 2225 1451 75 v = 50.75 - 0.120*En, Vso = 4.72 (MeV) 2225 1451 76 ws = 10.9 - 0.234*En, Wv = 0.0 (MeV) 2225 1451 77 r = 1.26, rs = 1.02, rso = 1.16 (fm) 2225 1451 78 a = 0.52, aso = 0.52, b = 0.40 (fm) 2225 1451 79 2225 1451 80 mt=2 Elastic scattering 2225 1451 81 Obtained by subtracting the sum of the partial cross sections 2225 1451 82 from the total cross section. 2225 1451 83 2225 1451 84 mt=4, 51-59, 91 Inelastic scattering 2225 1451 85 The cross sections were taken from JENDL fusion file/1/. the 2225 1451 86 level scheme was based on ref./4/ Contributions of the direct2225 1451 87 process were calculated for the levels marked with '*' using 2225 1451 88 deformation parameters compiled by Raman et al./11/ and 2225 1451 89 Spear/12/. 2225 1451 90 2225 1451 91 no. energy(MeV) spin-parity (direct process) 2225 1451 92 g.s. 0.0 0+ 2225 1451 93 1 0.8893 2+ * 2225 1451 94 2 2.0098 4+ * 2225 1451 95 3 2.6112 0+ 2225 1451 96 4 2.962 2+ * 2225 1451 97 5 3.0585 3- * 2225 1451 98 6 3.1682 1- 2225 1451 99 7 3.2133 0+ 2225 1451 100 8 3.2358 2+ * 2225 1451 101 9 3.299 6+ 2225 1451 102 Levels above 3.299 MeV were assumed to be overlapping. 2225 1451 103 2225 1451 104 mt=16 (n,2n) 2225 1451 105 Adopted from JENDL activation file/14/. 2225 1451 106 2225 1451 107 mt=22, 28, (n,na),(n,np) 2225 1451 108 Adopted from JENDL fusion file. Theoretical calculation was 2225 1451 109 made with sincros-ii/2/. 2225 1451 110 2225 1451 111 mt=102 Capture 2225 1451 112 Below 300 keV, created from the resonance parameters 2225 1451 113 Above 300 keV, calculated with the casthy code/10/ and 2225 1451 114 normalized to 26.9 mb at 30 keV, and added the semidirect 2225 1451 115 component calculated with the quick gnash code/17,18/. 2225 1451 116 2225 1451 117 mt=103 (n,p) 2225 1451 118 Adopted from JENDL activation file/14/. 2225 1451 119 2225 1451 120 mt=104,105,111 (n,d), (n,t), (n,2p) 2225 1451 121 Obtained from from the sincros-ii calculation made with the 2225 1451 122 the egnash code/2/. 2225 1451 123 2225 1451 124 mt=107 (n,a) 2225 1451 125 Calculated with gnash code/13/. 2225 1451 126 2225 1451 127 mf=4 Angular distributions of secondary neutrons 2225 1451 128 mt=2 2225 1451 129 Calculated with the casthy code/10/,newly for JENDL-3.3. 2225 1451 130 mt=51-59 2225 1451 131 Taken from JENDL fusion file/1/. 2225 1451 132 2225 1451 133 mf=6 Energy-angle distributions of secondary particles 2225 1451 134 Taken from JENDL fusion file/1/. 2225 1451 135 - Energy distributions of secondary neutrons were replaced 2225 1451 136 by those calculated by egnash2. The ddx's of the 2225 1451 137 continuum neutrons were calculated by Kumabe's systema- 2225 1451 138 tics /3/ using f15tob /1/. The precompound/compound 2225 1451 139 ratio was calculated by the sincros-ii code system/2/. 2225 1451 140 mt=16, 22, 28, 91 2225 1451 141 Based on modified Kumabe's systematics/3/. 2225 1451 142 mt=203, 207 2225 1451 143 Based on Kalbach's 1988 systematics/15/. 2225 1451 144 2225 1451 145 mf=12 Photon production multiplicities and transition probability2225 1451 146 arrays 2225 1451 147 mt=16, 22, 28, 51-59, 91,103, 104, 107 2225 1451 148 mt=51-59 were given as the transition probability arrays. 2225 1451 149 mt=16, 22, 28, 91, 102, 103, 104, 107 were calculated with 2225 1451 150 the egnash code/2/ and processed by the gamfil2 code/16/. 2225 1451 151 mt=102 was calculated with the casthy code/10/. 2225 1451 152 2225 1451 153 mf=14 Photon angular distributions 2225 1451 154 mt=16, 22, 28, 51-59, 91, 102, 103, 104, 107 2225 1451 155 Assumed to be isotropic distributions 2225 1451 156 2225 1451 157 mf=15 Continuous photon energy spectra 2225 1451 158 mt=16, 22, 28, 91, 103, 104, 107 2225 1451 159 Calculated with the egnash code/2/. 2225 1451 160 mt=102 2225 1451 161 Calculated with the casthy code/10/. 2225 1451 162 2225 1451 163 2225 1451 164 References 2225 1451 165 1) Chiba, S. et al.: JAERI-M 92-027, p.35 (1992). 2225 1451 166 2) Yamamuro, N.: JAERI-M 90-006 (1990). 2225 1451 167 3) Kumabe, I. et al.: Nucl. Sci. Eng., 104, 280 (1990). 2225 1451 168 4) ENSDF: Evaluated Nuclear Structure Data File, BNL/NNDC. 2225 1451 169 5) Mughabghab, S.F. et al. : " Neutron Cross Sections ", Vol.1, 2225 1451 170 Part A (1981). 2225 1451 171 6) Perey, F.G.: Phys. Rev., 131, 745 (1963). 2225 1451 172 7) Arthur, E.D. and Young, P.G.: LA-8626-MS (1980). 2225 1451 173 8) Lohr, J.M. and Haeberli W.: Nucl. Phys., A232, 381 (1974). 2225 1451 174 9) Becchetti, F.D. Jr. and Greenlees G.W.: "Polarization 2225 1451 175 Phenomena in Nucl. Reactions," Univ. Wisconsin Press, p.682 2225 1451 176 (1971). 2225 1451 177 10) Igarasi, S. and Fukahori, T.: JAERI 1321 (1991). 2225 1451 178 11) Raman, S., et al.: Atom. Data and Nucl. Data Tables 36, 1 2225 1451 179 (1987) 2225 1451 180 12) Spear, R.H.: Atom. Data and Nucl. Data Table, 42, 55 (1989). 2225 1451 181 13) Young, P.G. and Arthur, E.D. : LA-6947 (1977). 2225 1451 182 14) JAERI Nuclear Data Center : private communication (1996). 2225 1451 183 15) Kalbach C. : Phys. Rev. C37, 2350(1988). 2225 1451 184 16) Hida K.: JAERI-M 86-150 (1986) (in Japanese). 2225 1451 185 17) Young P.G. et al. : LA-12343-MS (1992). 2225 1451 186 18) Koning A.J. and Delaroche J.P. : ECN-RX-98-015 (1998). 2225 1451 187 2225 1451 188 2225 1451 189 ***************** Program LINEAR (VERSION 2009-1) ***************2225 1451 190 For All Data Greater than 1.0000E-10 barns in Absolute Value 2225 1451 191 Data Linearized Using Energy Dependent Uncertainty 2225 1451 192 Energy Accuracy 2225 1451 193 (eV) (per-cent) 2225 1451 194 ----------- ----------- 2225 1451 195 0.0 .010000000 2225 1451 196 1.00000000 .010000000 2225 1451 197 2.00000000 .100000000 2225 1451 198 20000000.0 .100000000 2225 1451 199 ***************** Program RECENT (VERSION 2009-1) ***************2225 1451 200 for All Data Greater than 1.0000E-10 barns in Absolute Value 2225 1451 201 Data Linearized Using Energy Dependent Uncertainty 2225 1451 202 Energy Accuracy 2225 1451 203 (eV) (per-cent) 2225 1451 204 ----------- ----------- 2225 1451 205 0.0 .010000000 2225 1451 206 1.00000000 .010000000 2225 1451 207 2.00000000 .100000000 2225 1451 208 20000000.0 .100000000 2225 1451 209 ***************** Program SIGMA1 (VERSION 2009-1) ***************2225 1451 210 Data Doppler Broadened to 1800.00000 Kelvin 2225 1451 211 for All Data Greater than 1.0000E-10 barns in Absolute Value 2225 1451 212 Data Linearized Using Energy Dependent Uncertainty 2225 1451 213 Energy Accuracy 2225 1451 214 (eV) (per-cent) 2225 1451 215 ----------- ----------- 2225 1451 216 0.0 .010000000 2225 1451 217 1.00000000 .010000000 2225 1451 218 2.00000000 .100000000 2225 1451 219 20000000.0 .100000000 2225 1451 220 ***************** Program FIXUP (Version 2009-1) ****************2225 1451 221 Corrected ZA/AWR in All Sections-----------------------------Yes 2225 1451 222 Corrected Thresholds-----------------------------------------No 2225 1451 223 Extended Cross Sections to 20 MeV----------------------------No 2225 1451 224 Allow Cross Section Deletion---------------------------------No 2225 1451 225 Allow Cross Section Reconstruction---------------------------Yes 2225 1451 226 Make All Cross Sections Non-Negative-------------------------Yes 2225 1451 227 Delete Energies Not in Ascending Order-----------------------Yes 2225 1451 228 Deleted Duplicate Points-------------------------------------Yes 2225 1451 229 Check for Ascending MAT/MF/MT Order--------------------------Yes 2225 1451 230 Check for Legal MF/MT Numbers--------------------------------Yes 2225 1451 231 Allow Creation of Missing Sections---------------------------No 2225 1451 232 Allow Insertion of Energy Points-----------------------------No 2225 1451 233 Create Uniform Energy Grid-----------------------------------No 2225 1451 234 Delete Section if Cross Section =0 at All Energies-----------Yes 2225 1451 235 **************** Program DICTIN (VERSION 2009-1) ****************2225 1451 236 1 451 321 32225 1451 237 2 151 104 32225 1451 238 3 1 8950 12225 1451 239 3 2 2857 32225 1451 240 3 4 642 22225 1451 241 3 16 54 32225 1451 242 3 22 16 22225 1451 243 3 28 27 22225 1451 244 3 51 84 22225 1451 245 3 52 70 22225 1451 246 3 53 80 22225 1451 247 3 54 79 22225 1451 248 3 55 71 22225 1451 249 3 56 85 22225 1451 250 3 57 83 22225 1451 251 3 58 78 22225 1451 252 3 59 61 22225 1451 253 3 91 76 22225 1451 254 3 102 5461 32225 1451 255 3 103 20 32225 1451 256 3 104 30 32225 1451 257 3 105 9 32225 1451 258 3 106 10 32225 1451 259 3 107 46 12225 1451 260 3 111 13 32225 1451 261 3 203 20 32225 1451 262 3 207 46 32225 1451 263 4 2 105 32225 1451 264 4 51 91 22225 1451 265 4 52 76 22225 1451 266 4 53 27 22225 1451 267 4 54 66 22225 1451 268 4 55 66 22225 1451 269 4 56 26 22225 1451 270 4 57 26 22225 1451 271 4 58 66 22225 1451 272 4 59 27 22225 1451 273 6 16 234 32225 1451 274 6 22 394 32225 1451 275 6 28 351 32225 1451 276 6 91 694 32225 1451 277 6 203 230 32225 1451 278 6 207 246 32225 1451 279 12 16 6 32225 1451 280 12 22 7 32225 1451 281 12 28 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42332.1598 2.04160580 42333.0513 1.914880972225 3 1 1769 42333.1037 1.90815095 42334.0475 1.78743627 42334.2311 1.764044722225 3 1 1770 42334.9914 1.67675756 42335.4109 1.62879088 42335.9353 1.574867152225 3 1 1771 42336.5908 1.50774462 42336.8792 1.48104217 42337.6133 1.413365452225 3 1 1772 42337.8230 1.39571411 42338.5572 1.33418304 42338.7669 1.318090482225 3 1 1773 42339.5010 1.26200302 42339.7108 1.24733433 42340.3400 1.203506262225 3 1 1774 42340.4449 1.19622413 42341.2577 1.14462574 42341.3888 1.136337302225 3 1 1775 42342.0180 1.09942946 42342.1754 1.09098236 42343.0931 1.041950712225 3 1 1776 42343.2765 1.03219160 42344.0107 .997522224 42344.5350 .9728678382225 3 1 1777 42344.9284 .956438905 42345.7935 .920466110 42345.8460 .9185249322225 3 1 1778 42346.7637 .884742305 42347.0520 .874171780 42347.6813 .8536307382225 3 1 1779 42348.3105 .833176809 42348.5990 .824810058 42349.5166 .7983094082225 3 1 1780 42349.5690 .796801778 42350.4343 .774546207 42350.8275 .7644805732225 3 1 1781 42351.8108 .741916778 42352.0860 .735636562 42353.1872 .7136072762225 3 1 1782 42353.9738 .697956751 42354.5637 .687873911 42355.6780 .6689223592225 3 1 1783 42355.8615 .665814640 42356.9890 .649337501 42357.8411 .6369427132225 3 1 1784 42358.2999 .631185957 42359.6109 .614813304 42360.0041 .6099228532225 3 1 1785 42360.9218 .600042088 42362.1672 .586700983 42362.8882 .5799432312225 3 1 1786 42364.3303 .566506145 42364.8546 .562270788 42366.8210 .5464755782225 3 1 1787 42367.2143 .543331357 42368.7874 .532510626 42370.0984 .5235349422225 3 1 1788 42370.7538 .519621803 42372.9824 .506385849 42373.3757 .5043839642225 3 1 1789 42375.9975 .491117849 42377.3085 .484518881 42378.9472 .4775562482225 3 1 1790 42381.6346 .466200353 42381.8968 .465250064 42384.8464 .4546173912225 3 1 1791 42385.9607 .450619011 42387.7960 .445023405 42390.7456 .4360722332225 3 1 1792 42391.7288 .433100545 42393.6952 .428090073 42397.4969 .4184497632225 3 1 1793 42397.6280 .418165148 42401.5608 .409674091 42403.2650 .4060119002225 3 1 1794 42405.4936 .401993068 42410.0819 .393761629 42411.9172 .3904856632225 3 1 1795 42415.3257 .385458934 42420.5694 .377768013 42425.8132 .3713152282225 3 1 1796 42429.2216 .367140591 42431.0569 .365277304 42436.3007 .3599793462225 3 1 1797 42441.5444 .354703775 42442.1999 .354047260 42449.4100 .3481447422225 3 1 1798 42455.1782 .343446706 42455.7025 .343098479 42461.9950 .3389391422225 3 1 1799 42471.4338 .332732367 42472.4825 .332046464 42480.8725 .3275933942225 3 1 1800 42489.7869 .322889239 42490.3113 .322659734 42499.7500 .3185545092225 3 1 1801 42507.0913 .315381565 42511.1963 .313955200 42522.6425 .3100099752225 3 1 1802 42533.0479 .306451555 42534.0888 .306189464 42545.5350 .3033382842225 3 1 1803 42556.9813 .300518917 42560.7950 .299590814 42568.4275 .2983094142225 3 1 1804 42577.0123 .296892235 42579.8900 .296424811 42585.5969 .2958661192225 3 1 1805 42595.5013 .294927875 42598.9850 .294610052 42603.8638 .2945495802225 3 1 1806 42612.2263 .294476134 42618.0800 .294448658 42620.5888 .2946842682225 3 1 1807 42628.9513 .295508742 42636.4775 .296291451 42637.3138 .2964641812225 3 1 1808 42643.5857 .297793712 42648.7425 .298914336 42649.8575 .2992738542225 3 1 1809 42656.1294 .301334002 42661.0075 .302973925 42663.7950 .3042839372225 3 1 1810 42669.3700 .306950881 42673.2725 .308849540 42674.9450 .3099131002225 3 1 1811 42680.5200 .313510015 42682.4713 .314789682 42686.0950 .3177568142225 3 1 1812 42691.6700 .322389793 42697.2450 .328250480 42700.8688 .3321114582225 3 1 1813 42701.4263 .332853365 42706.7225 .339985640 42710.0675 .3445491442225 3 1 1814 42710.6250 .345466415 42714.5275 .351953863 42716.2000 .3547664742225 3 1 1815 42718.4300 .359111704 42721.7750 .365702941 42722.3325 .3669732272225 3 1 1816 42726.2350 .375963074 42727.3500 .378563717 42730.1375 .3861112302225 3 1 1817 42732.9250 .393751525 42734.0400 .397323526 42736.8275 .4063446142225 3 1 1818 42738.5000 .411808931 42739.6150 .416005078 42742.4025 .4265921412225 3 1 1819 42742.6813 .427661944 42745.1900 .438587726 42746.8625 .4459458632225 3 1 1820 42747.9775 .451549864 42750.7650 .465700624 42751.0438 .4671320882225 3 1 1821 42753.5525 .481939151 42755.2250 .491922412 42756.3400 .4994429182225 3 1 1822 42758.0125 .510846441 42758.8488 .517170352 42760.8000 .5320823812225 3 1 1823 42761.3575 .536833107 42763.5875 .556045798 42763.8663 .5587411252225 3 1 1824 42766.3750 .583272147 42768.2566 .604288616 42769.1625 .6145100232225 3 1 1825 42770.1382 .626839131 42771.2532 .641075425 42772.0197 .6519331842225 3 1 1826 42773.3438 .670893616 42773.9013 .679809272 42775.4344 .7046055652225 3 1 1827 42775.7829 .710947384 42777.3020 .738884369 42777.5250 .7430347902225 3 1 1828 42779.0860 .775947720 42779.6157 .787245361 42780.4240 .8064883642225 3 1 1829 42781.0094 .820567218 42781.7620 .840430072 42782.4032 .8575322172225 3 1 1830 42783.1000 .878282858 42784.1593 .910170482 42784.4380 .9196503742225 3 1 1831 42785.7482 .964704802 42785.7760 .965784298 42787.1140 1.018316902225 3 1 1832 42787.3370 1.02718367 42788.3963 1.07387749 42788.4520 1.076552942225 3 1 1833 42789.4555 1.12533441 42789.7900 1.14307964 42790.5148 1.181995872225 3 1 1834 42791.0305 1.21225355 42791.5740 1.24449505 42792.0758 1.277064882225 3 1 1835 42792.6333 1.31362275 42793.1211 1.34866032 42793.6925 1.390129642225 3 1 1836 42794.1664 1.42783655 42794.7518 1.47490329 42795.2118 1.515478242225 3 1 1837 42795.8110 1.56888791 42796.2570 1.61252053 42796.8703 1.673153242225 3 1 1838 42797.3024 1.72004889 42797.9295 1.78882559 42798.3477 1.839173972225 3 1 1839 42798.9888 1.91716966 42799.3930 1.97113545 42800.0480 2.059501072225 3 1 1840 42800.4383 2.11732883 42801.1352 2.22165381 42801.4836 2.278957962225 3 1 1841 42802.2223 2.40161451 42802.3895 2.43208978 42803.2258 2.585786172225 3 1 1842 42803.3094 2.60128062 42804.0620 2.75412165 42804.3965 2.822610482225 3 1 1843 42804.8983 2.93505231 42805.4837 3.06726647 42805.7345 3.129167122225 3 1 1844 42806.5708 3.33715545 42807.4070 3.56571279 42807.6579 3.634821842225 3 1 1845 42808.2433 3.81029724 42808.7450 3.96180233 42809.0795 4.071507312225 3 1 1846 42809.8322 4.32013221 42809.9158 4.35005550 42810.7520 4.651412572225 3 1 1847 42810.9193 4.71217839 42811.6440 4.99293084 42811.7555 5.038814042225 3 1 1848 42812.6475 5.40875320 42812.7590 5.45823665 42813.6510 5.857098902225 3 1 1849 42813.7625 5.91031709 42814.6545 6.33916542 42814.7660 6.396234372225 3 1 1850 42815.6580 6.85598119 42815.7695 6.91699477 42816.6615 7.408372142225 3 1 1851 42816.7730 7.47339827 42817.6650 7.99692740 42817.7765 8.066004202225 3 1 1852 42818.6685 8.62261608 42819.1703 8.95527365 42820.0623 9.550868042225 3 1 1853 42820.3410 9.74840765 42821.2330 10.3844706 42821.5118 10.59505962225 3 1 1854 42822.7940 11.5697291 42823.0728 11.7943070 42824.3550 12.83372352225 3 1 1855 42824.6338 13.0710950 42825.9160 14.1688349 42826.3174 14.52803222225 3 1 1856 42827.9230 15.9717448 42828.2575 16.2849267 42835.1036 22.71940352225 3 1 1857 42835.1928 22.8027096 42837.5120 24.8458352 42837.6012 24.92369382225 3 1 1858 42839.5190 26.4515363 42839.8312 26.6971798 42841.4368 27.80907572225 3 1 1859 42841.7936 28.0521060 42843.2208 28.8847213 42843.3992 28.98666232225 3 1 1860 42844.8264 29.6591729 42845.0048 29.7409106 42846.5658 30.27513682225 3 1 1861 42846.7888 30.3486477 42847.8592 30.5639428 42848.5282 30.69065062225 3 1 1862 42849.2864 30.7421676 42850.0000 30.7839573 42851.6056 30.67267652225 3 1 1863 42853.2112 30.3441721 42854.8168 29.8059532 42856.4224 29.07018482225 3 1 1864 42858.0280 28.1490306 42858.1172 28.0968849 42859.8120 26.93862662225 3 1 1865 42859.9904 26.8149008 42861.7744 25.4135368 42862.1312 25.13021142225 3 1 1866 42863.9152 23.5712669 42864.7180 22.8644332 42866.7250 20.98069272225 3 1 1867 42871.6868 16.3117896 42871.7202 16.2814408 42873.6380 14.54640772225 3 1 1868 42873.8610 14.3457120 42875.3105 13.0957679 42875.6450 12.81961612225 3 1 1869 42876.7600 11.9045991 42876.9830 11.7303789 42878.0980 10.86463432225 3 1 1870 42878.5440 10.5364290 42879.4360 9.88458918 42879.8820 9.577547612225 3 1 1871 42880.7740 8.96784740 42881.2200 8.68229083 42882.1120 8.115629482225 3 1 1872 42882.5580 7.85167310 42883.4500 7.32820708 42883.8960 7.083268552225 3 1 1873 42884.4535 6.77938143 42884.7880 6.60822675 42885.5685 6.211529862225 3 1 1874 42885.7915 6.10582540 42886.6835 5.68614948 42886.7950 5.637376192225 3 1 1875 42887.7985 5.20183703 42888.8020 4.80137724 42888.9135 4.757231452225 3 1 1876 42889.8055 4.43095527 42890.0285 4.35005187 42890.8090 4.086453302225 3 1 1877 42890.8648 4.06776566 42891.7010 3.80479232 42891.8125 3.771894182225 3 1 1878 42892.5373 3.55997229 42892.8160 3.48428166 42893.5965 3.274260662225 3 1 1879 42893.8195 3.21849706 42894.3770 3.08038990 42894.8230 2.976674962225 3 1 1880 42895.1575 2.89961562 42895.8265 2.75508697 42895.9380 2.731223462225 3 1 1881 42896.7185 2.57471963 42896.8300 2.55377750 42897.4990 2.429369392225 3 1 1882 42897.8335 2.37114913 42898.2795 2.29428591 42898.8370 2.204423072225 3 1 1883 42899.0600 2.16882831 42899.8405 2.05237869 42900.6210 1.944635762225 3 1 1884 42900.8440 1.91634465 42901.7918 1.79734343 42901.8475 1.791027482225 3 1 1885 42902.8510 1.67843477 42902.9625 1.66604979 42903.9382 1.568267432225 3 1 1886 42904.1333 1.54889808 42904.7744 1.49144595 42905.3040 1.444379662225 3 1 1887 42905.6107 1.41972466 42906.4469 1.35307476 42907.2832 1.293158482225 3 1 1888 42907.5898 1.27136784 42908.1194 1.23721849 42908.7327 1.198067782225 3 1 1889 42909.3738 1.16088105 42909.8755 1.13212484 42910.6282 1.092861162225 3 1 1890 42911.0184 1.07274077 42911.8825 1.03211649 42912.1613 1.019154882225 3 1 1891 42913.1369 .977716776 42913.3042 .970687027 42914.3913 .9288607022225 3 1 1892 42914.4470 .926739764 42915.6457 .885689521 42916.1614 .8682077822225 3 1 1893 42916.9000 .846051679 42917.8757 .817063508 42918.0150 .8133772582225 3 1 1894 42919.5900 .772160047 42919.6875 .769873043 42921.3043 .7324357162225 3 1 1895 42921.3600 .731272840 42923.0186 .697066768 42923.0325 .6968104662225 3 1 1896 42924.7050 .666331445 42925.2625 .656274184 42926.3775 .6385505532225 3 1 1897 42927.7713 .616615031 42928.0500 .612737961 42929.7225 .5896993382225 3 1 1898 42930.2800 .582085917 42931.3950 .568513157 42932.7888 .5517132402225 3 1 1899 42933.6250 .542656632 42935.2975 .524749630 42936.1338 .5165206682225 3 1 1900 42936.9700 .508378465 42938.2244 .497267941 42940.3150 .4789193142225 3 1 1901 42943.1025 .457433046 42943.6600 .453180524 42945.8900 .4379823452225 3 1 1902 42947.0050 .430460013 42948.6775 .420310460 42950.3500 .4102605202225 3 1 1903 42951.4650 .404251700 42954.2525 .389374320 42954.3223 .3890049612225 3 1 1904 42957.0400 .376154065 42958.2944 .370277439 42960.3850 .3614687362225 3 1 1905 42962.2666 .353619063 42963.7300 .348097067 42966.2388 .3387213562225 3 1 1906 42967.0750 .335922345 42970.4200 .324831817 42971.5350 .3211661092225 3 1 1907 42973.7650 .314661913 42976.8313 .305794157 42977.1100 .3050736362225 3 1 1908 42980.4550 .296499082 42982.1275 .292244437 42983.8000 .2884180712225 3 1 1909 42987.4238 .280200408 42988.2600 .278484431 42992.7200 .2694219822225 3 1 1910 42997.1800 .261348340 42999.4100 .257345840 43001.6400 .2537662062225 3 1 1911 43006.1000 .246667329 43010.5600 .240322410 43012.7900 .2371736182225 3 1 1912 43015.0200 .234381520 43019.4800 .228839472 43022.8250 .2247144252225 3 1 1913 43025.0550 .222307775 43030.6300 .216342529 43032.8600 .2139744522225 3 1 1914 43036.2050 .210828843 43041.7800 .205625848 43042.8950 .2045922692225 3 1 1915 43047.3550 .200891323 43052.9300 .196303367 43055.7175 .1942613072225 3 1 1916 43064.0800 .188194188 43066.3100 .186588405 43070.7700 .1837442462225 3 1 1917 43077.4600 .179506071 43079.6900 .178102857 43086.3800 .1743271632225 3 1 1918 43093.0700 .170579707 43095.3000 .169452958 43104.2200 .1649783732225 3 1 1919 43108.6800 .162755113 43113.1400 .160754941 43122.0600 .1567790102225 3 1 1920 43126.5200 .154801705 43130.9800 .153012274 43141.0150 .1490082932225 3 1 1921 43144.3600 .147680820 43152.1650 .144886163 43163.3150 .1409155662225 3 1 1922 43171.1200 .138149305 43174.4650 .137082464 43185.6150 .1335426562225 3 1 1923 43197.8800 .129668094 43202.3400 .128380905 43219.0650 .1235805722225 3 1 1924 43224.6400 .121987137 43232.4450 .119944963 43248.0550 .1158756172225 3 1 1925 43259.2050 .112978813 43263.6650 .111907719 43279.2750 .1081708522225 3 1 1926 43292.6550 .104978745 43302.6900 .102749513 43326.1050 .0975675402225 3 1 1927 43349.5200 .092690811 43359.5550 .090606132 43372.9350 .0880193092225 3 1 1928 43396.3500 .083502990 43409.7300 .080928270 43427.5700 .0776945912225 3 1 1929 43443.1800 .074872011 43458.7900 .072222396 43493.3550 .0663671852225 3 1 1930 43493.4655 .066349688 43531.5965 .060324229 43539.5974 .0590621822225 3 1 1931 43569.7274 .054591020 43578.9538 .053223959 43607.8584 .0491754432225 3 1 1932 43618.3102 .047714155 43657.6666 .042523052 43666.4138 .0414295832225 3 1 1933 43689.5142 .038547115 43725.6488 .034302858 43726.1948 .0342388402225 3 1 1934 43755.5393 .030996996 43784.8838 .027932521 43812.5229 .0252163702225 3 1 1935 43840.1619 .022662591 43845.3324 .022211859 43860.8913 .0208586482225 3 1 1936 43881.6205 .019150928 43900.7150 .017664317 43905.7810 .0172935322225 3 1 1937 43921.8150 .016123550 43942.9150 .014689899 43958.7400 .0136861802225 3 1 1938 43961.9050 .013498018 43974.5650 .012748270 43989.8625 .0119035522225 3 1 1939 44004.8963 .011134023 44009.3800 .010923223 44019.9300 .0104302952225 3 1 1940 44034.9638 .009792968 44044.9863 .009405316 44055.0088 .0090482712225 3 1 1941 44056.8550 .008988341 44065.1632 .008721288 44075.4494 .0084248552225 3 1 1942 44085.7357 .008164385 44090.0875 .008070091 44096.0219 .0079436792225 3 1 1943 44106.3082 .007763706 44116.5944 .007624500 44124.9025 .0075464972225 3 1 1944 44126.8807 .007528752 44134.5954 .007488842 44143.8925 .0074757892225 3 1 1945 44147.0575 .007480436 44151.0138 .007494731 44152.8600 .0075023212225 3 1 1946 44161.3000 .007566856 44169.7400 .007668543 44177.1250 .0077919372225 3 1 1947 44178.1800 .007810117 44186.6200 .007997367 44194.5325 .0082148102225 3 1 1948 44195.0600 .008229586 44201.3900 .008438236 44207.7200 .0086755182225 3 1 1949 44211.9400 .008853978 44214.0500 .008944519 44221.4350 .0093024492225 3 1 1950 44227.7650 .009651453 44229.3475 .009739862 44237.2600 .0102411512225 3 1 1951 44243.5900 .010693969 44245.1725 .010808642 44253.0850 .0114531072225 3 1 1952 44259.4150 .012031496 44260.9975 .012177702 44266.2725 .0127129072225 3 1 1953 44271.2838 .013260930 44271.5475 .013290049 44276.8225 .0139174822225 3 1 1954 44282.0975 .014593502 44283.1525 .014739244 44287.3725 .0153276832225 3 1 1955 44292.6475 .016120532 44295.0213 .016505449 44297.9225 .0169805082225 3 1 1956 44302.9338 .017864328 44306.8900 .018613798 44307.6813 .0187652842225 3 1 1957 44312.4288 .019740095 44317.1763 .020787015 44318.7588 .0211623422225 3 1 1958 44321.9238 .021919506 44326.6713 .023142194 44331.4188 .0244702562225 3 1 1959 44334.5838 .025426383 44336.1663 .025907991 44340.3863 .0272908082225 3 1 1960 44341.7050 .027760334 44345.9250 .029272827 44348.0350 .0301057382225 3 1 1961 44351.4638 .031468160 44354.3650 .032741672 44357.0025 .0339074852225 3 1 1962 44360.6950 .035684668 44364.3875 .037605079 44367.0250 .0390793682225 3 1 1963 44368.0800 .039673620 44371.7725 .041912713 44373.3550 .0429482242225 3 1 1964 44375.4650 .044338278 44378.1025 .046217041 44379.1575 .0469732472225 3 1 1965 44382.8500 .049841416 44386.5425 .052977729 44387.5975 .0539541872225 3 1 1966 44390.2350 .056409303 44391.2900 .057482524 44393.9275 .0601806862225 3 1 1967 44395.5100 .061955474 44397.6200 .064336740 44399.7300 .0669655202225 3 1 1968 44401.5763 .069280986 44403.9500 .072531476 44404.2138 .0728952792225 3 1 1969 44406.8513 .076807311 44408.1700 .078916339 44409.4888 .0810386392225 3 1 1970 44411.3350 .084249445 44412.1263 .085633463 44414.5000 .0901314752225 3 1 1971 44414.7638 .090634369 44417.4013 .096096558 44417.6650 .0966905672225 3 1 1972 44419.9069 .101770355 44420.8300 .104042106 44422.2807 .1076358172225 3 1 1973 44424.2588 .112961973 44424.6544 .114034093 44426.8963 .1206594892225 3 1 1974 44427.0282 .121051655 44429.4019 .128776259 44429.5338 .1292483312225 3 1 1975 44431.7757 .137319282 44432.1713 .138893319 44434.1494 .1468131902225 3 1 1976 44434.8088 .149707101 44435.9298 .154655692 44436.7869 .1587660142225 3 1 1977 44437.7100 .163216778 44438.7650 .168774596 44439.5563 .1729671892225 3 1 1978 44440.7432 .179882486 44441.4025 .183747347 44442.7213 .1922950372225 3 1 1979 44443.2488 .195735574 44444.5675 .205302745 44445.0950 .2091526192225 3 1 1980 44446.1500 .217646409 44446.4798 .220317123 44447.7325 .2314017312225 3 1 1981 44447.8644 .232576120 44449.2491 .246101801 44449.3150 .2468113352225 3 1 1982 44450.6338 .261096105 44450.8975 .264257738 44452.0185 .2777838552225 3 1 1983 44452.4800 .283940794 44453.2713 .294569521 44454.0625 .3062698672225 3 1 1984 44454.4582 .312156408 44455.1175 .322958564 44455.6450 .3316438332225 3 1 1985 44456.1725 .341236627 44456.8319 .353287827 44457.2275 .3612944032225 3 1 1986 44458.0188 .377390115 44458.2825 .383344457 44459.2057 .4042957952225 3 1 1987 44459.3375 .407623263 44460.3925 .434393431 44461.2893 .4598736742225 3 1 1988 44461.5794 .468160061 44462.3707 .492909561 44462.3970 .4937951272225 3 1 1989 44463.1619 .519693622 44463.5048 .532196450 44463.9532 .5486401372225 3 1 1990 44464.6125 .574681912 44464.7444 .579922863 44465.7203 .6221695832225 3 1 1991 44465.7730 .624464817 44466.7225 .669846701 44466.8280 .6753623172225 3 1 1992 44467.6720 .719734513 44467.9358 .734900203 44468.6215 .7745439292225 3 1 1993 44469.0435 .801210137 44469.5710 .834733207 44470.1513 .8750141012225 3 1 1994 44470.5205 .900762945 44470.8898 .928874424 44471.4700 .9732040592225 3 1 1995 44471.6283 .986394358 44472.3668 1.04815216 44472.4195 1.052578642225 3 1 1996 44473.3163 1.13461864 44473.3690 1.13946204 44474.1867 1.221215662225 3 1 1997 44474.3185 1.23445030 44475.0570 1.31501735 44475.2680 1.338134212225 3 1 1998 44475.9274 1.41597847 44476.0593 1.43161457 44476.7978 1.525207102225 3 1 1999 44476.8505 1.53191340 44477.6418 1.63943719 44477.6682 1.643263882225 3 1 2000 44478.4330 1.75454256 44478.5385 1.77106848 44479.4089 1.907915042225 3 1 2001 44479.4880 1.92039937 44480.2793 2.05591715 44480.5430 2.101245572225 3 1 2002 44481.1497 2.21412361 44481.5980 2.29782684 44482.0200 2.382883172225 3 1 2003 44482.6530 2.51092097 44482.9695 2.57983521 44483.7080 2.741205792225 3 1 2004 44483.9190 2.79034684 44484.5520 2.93827370 44484.8685 3.017441432225 3 1 2005 44485.8180 3.25571826 44486.7675 3.51393591 44487.0840 3.600273872225 3 1 2006 44487.7170 3.78590167 44488.3500 3.97219545 44489.1413 4.221291882225 3 1 2007 44489.6160 4.37127512 44490.3545 4.61923821 44490.8293 4.779206912225 3 1 2008 44491.8315 5.13774720 44492.3063 5.30818006 44493.3085 5.689594312225 3 1 2009 44493.7833 5.87081815 44494.7855 6.27532965 44495.6295 6.616940782225 3 1 2010 44496.7900 7.11105083 44497.5918 7.45331779 44499.3220 8.225445652225 3 1 2011 44504.6392 10.6008820 44505.1456 10.8264036 44507.2978 11.72934152225 3 1 2012 44507.4244 11.7821947 44509.4500 12.5585823 44511.3068 13.18854002225 3 1 2013 44513.0792 13.7009543 44514.5984 14.0609637 44516.2020 14.35361502225 3 1 2014 44517.9744 14.5651658 44517.9787 14.5656654 44519.3248 14.64408142225 3 1 2015 44519.3375 14.6447946 44520.0000 14.6565781 44520.0169 14.65684012225 3 1 2016 44521.5192 14.6180819 44521.5235 14.6179576 44523.0384 14.48848732225 3 1 2017 44524.5576 14.2702843 44526.0768 13.9679588 44527.5960 13.58744682225 3 1 2018 44529.2840 13.0818884 44531.1830 12.4230465 44531.2674 12.39032142225 3 1 2019 44533.3352 11.5836883 44533.6728 11.4405930 44535.9938 10.45265782225 3 1 2020 44536.2048 10.3587746 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