2-He- 3 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 2003.00000 2.98903200 0 0 0 0 225 1451 1 0.0 0.0 0 0 0 6 225 1451 2 1.00000000 20000000.0 1 0 10 7 225 1451 3 2100.00000 0.0 1 0 204 8 225 1451 4 2-He- 3 LANL EVAL-MAY90 G.Hale,D.Dodder,P.Young 225 1451 5 DIST-DEC06 225 1451 6 ----ENDF/B-VII MATERIAL 225 225 1451 7 -----INCIDENT NEUTRON DATA 225 1451 8 ------ENDF-6 FORMAT 225 1451 9 225 1451 10 **************************************************************** 225 1451 11 225 1451 12 ENDF/B-VII CONVERTED FROM ENDF/B-VI BY NNDC OCT 2004 225 1451 13 225 1451 14 **************************************************************** 225 1451 15 225 1451 16 MOD1 OF ENDF/B-VI 225 1451 17 225 1451 18 THE ONLY REVISION MADE FOR MOD1 OF ENDF/B-VI WAS TO ADD THE 225 1451 19 COMMENTS BELOW ON THE STANDARDS COVARIANCES. THE DESCRIPTION 225 1451 20 OF THE ENDF/B-VI EVALUATION IS GIVEN BELOW. 225 1451 21 225 1451 22 ***************************************************************** 225 1451 23 225 1451 24 ---------------------------------------------------------------- 225 1451 25 HE-3 FREE ATOM EVALUATION 225 1451 26 ENDF/B-VI DESCRIPTION 225 1451 27 ---------------------------------------------------------------- 225 1451 28 225 1451 29 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 225 1451 30 225 1451 31 this file transfered from l.stewart's endf/b-iii evaluation with 225 1451 32 modifications only in the 3he(n,p) and the elastic cross sections 225 1451 33 below 5 MeV, and the total cross section below 0.1 MeV. 225 1451 34 * * * * * * * 225 1451 35 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 225 1451 36 * * 225 1451 37 * cross section standard he-3 (n,p) * 225 1451 38 * * 225 1451 39 * the he-3 (n,p) cross section for this material is recommended 225 1451 40 * as a standard for neutron energies from thermal to 50 kev 225 1451 41 * * 225 1451 42 * * * * * * * 225 1451 43 225 1451 44 225 1451 45 mf=1 225 1451 46 225 1451 47 mt=451, atomic mass=3.0160 225 1451 48 225 1451 49 mf=2 225 1451 50 225 1451 51 mt=151, scattering length=0.2821e-12 cm. 225 1451 52 225 1451 53 mf=3 225 1451 54 225 1451 55 mt= 1, total cross sections --- from .00001 ev to 200 kev 225 1451 56 mt1 taken as sum mt2+mt102+mt103. from 200 kev to 20 225 1451 57 mev, mt1 evaluated using experimental data from ref.6. 225 1451 58 225 1451 59 mt= 2, elastic scattering cross sections --- from .00001 ev 225 1451 60 to 200 kev, mt2 taken approximately from r-matrix 225 1451 61 analysis described below. above 200 kev, obtained 225 1451 62 from mt2=mt1-mt102-mt103-mt104. note two reactions 225 1451 63 missing from this evaluation, namely n,n-prime,p and 225 1451 64 n,2n,2p. exp. data at 15 mev indicates non-zero 225 1451 65 cross sections for these. included in mt2 this eval. 225 1451 66 225 1451 67 mt=102, radiative capture cross sections --- thermal value 225 1451 68 taken from ref.17, with assumption of 1/v energy 225 1451 69 energy variation at all other energies. 225 1451 70 225 1451 71 mt=103, n-p cross sections --- below 5 mev taken from an 225 1451 72 r-matrix calculation of the four-body reactions 225 1451 73 by hale and dodder. 3he(n,p) data included were 225 1451 74 from refs. 5,13,14, and 15. for energies in the 225 1451 75 5-20 mev range, data were used as follows - 225 1451 76 ref.4 - 5.8 mev to 11. mev 225 1451 77 ref.10- 5.0 mev to 11. mev 225 1451 78 ref.12- 5.0 mev to 12. mev 225 1451 79 ref.16- 14. mev 225 1451 80 data extrapolated to 20. mev. 225 1451 81 225 1451 82 mt=104, n-d cross sections --- threshold=4.36147mev 225 1451 83 q=-3.2684 mev. evaluation from a detailed balance 225 1451 84 calculation(ref.13) and experimental data(ref.11). 225 1451 85 225 1451 86 mt=251, average value of cosine of elastic scattering angle, 225 1451 87 laboratory system. obtained from data mf=4,mt=2. 225 1451 88 225 1451 89 mt=252, values of xi, obtained from data mf=4,mt=2 225 1451 90 225 1451 91 mt=253, values of gamma,obtained from data mf=4,mt=2 225 1451 92 225 1451 93 mf=4 225 1451 94 225 1451 95 mt= 2, angular distribution of secondary neutrons from 225 1451 96 elastic scatter. evaluated from experimental data 225 1451 97 from refs.2,7,9,11,16,17 covering incident energies 225 1451 98 as follows - 225 1451 99 incident energy references 225 1451 100 1.e-5ev (isotropic) 225 1451 101 0.5 mev (isotropic) 225 1451 102 1.0 mev 9 225 1451 103 2.0 mev 9 225 1451 104 2.6 mev 11 225 1451 105 3.5 mev 9 225 1451 106 5.0 mev 11 225 1451 107 6.0 mev 9,7(from p+t elastic scatt) 225 1451 108 8.0 mev 11,7(from p+t elastic scatt) 225 1451 109 14.5 mev 16,17(from p+t elastic scatt) 225 1451 110 17.5 mev 11 225 1451 111 20.0 mev 2(from p+t elastic scatt) 225 1451 112 225 1451 113 references 225 1451 114 225 1451 115 1. r.batchelor,r.aves,and t.h.r.skyrme,rev.sci.instr.26,1037 225 1451 116 (1955). 225 1451 117 2. r.a.vanetsian and e.d.fenchenko,soviet journal of atomic 225 1451 118 energy 2,141(1957). 225 1451 119 3. j.n.bradbury and l.stewart,bull.am.phys.soc.3,417(1958) 225 1451 120 4. g.f.bogdanov,n.a.vlasov,c.p.kalinin,b.v.rybakov,l.n. 225 1451 121 samoilov,and v.a.sidorov,jetp(ussr)36,633(1959). 225 1451 122 5. j.h.gibbons and r.l.macklin,phys.rev.114,571(1959). 225 1451 123 6. los alamos physics and cryogenics groups,nucl.phys.12, 225 1451 124 291(1959). 225 1451 125 7. j.e.brolley,jr.,t.m.putnam,l.rosen,and l.stewart,phys. 225 1451 126 rev.159,777(1967). 225 1451 127 8. j.e.perry,private communication to stewart(1960) 225 1451 128 9. j.d.seagrave,l.cranberg,and j.e.simmons,phys.rev.119, 225 1451 129 1981(1960) 225 1451 130 10. m.d.goldberg,j.d.anderson,j.p.stoering,and c.wong,phys. 225 1451 131 rev.122,1510(1961). 225 1451 132 11. a.r.sayers,k.w.jones,and c.s.wu,phys.rev.122,1853(1961). 225 1451 133 12. w.e.wilson,r.l.walter,and d.b.fossan,nucl.phys.27,421 225 1451 134 (1961). 225 1451 135 13. j.als-nielsen and o.dietrich,phys.rev.133,b925(1964). 225 1451 136 14. r.l.macklin and j.h.gibbons,proceedings of the internatl. 225 1451 137 conf.on the study of nucl.struct.with neuts.,antwerp(1965) 225 1451 138 15. j.h.gibbons,private communication to stewart(1966). 225 1451 139 16. b.antolkovic,g.paic,p.tomas,and r.rendic,phys.rev.159, 225 1451 140 777(1967). 225 1451 141 17. l.rosen and w.leland,private communication(1967) 225 1451 142 18. s.mughabghab et al., neut.cross sect., vol.1, neut.reson. 225 1451 143 parameters and thermal cross sect., academic pr.(1981). 225 1451 144 225 1451 145 **************************************************************** 225 1451 146 225 1451 147 STANDARDS COVARIANCES 225 1451 148 225 1451 149 Phase 1 reviewers of the ENDF/B-VI standards cross sections have 225 1451 150 expressed the concern that the uncertainties resulting from the 225 1451 151 combination of R-matrix and simultaneous evaluations might have 225 1451 152 led to uncertainties that are too small. As a result, the 225 1451 153 Standards Subcommittee produced (at the May, 1990 CSEWG meeting) 225 1451 154 a set of expanded covariance estimates for the standard cross 225 1451 155 section reactions. These uncertainties are estimates such that 225 1451 156 if a modern day experiment were performed on a given standard 225 1451 157 cross section using the best techniques, approximately 2/3 of 225 1451 158 the results should fall within these expanded uncertainties. The 225 1451 159 expanded uncertainties for the He-3(n,p) cross section are as 225 1451 160 follows: 225 1451 161 225 1451 162 Energy Range Estimated Uncertainty 225 1451 163 (keV) (percent) 225 1451 164 225 1451 165 1.0E-08 - 0.1 0.3 225 1451 166 0.1 - 1.0 0.7 225 1451 167 1.0 - 10. 2.0 225 1451 168 10. - 50. 5.0 225 1451 169 **************************************************************** 225 1451 170 225 1451 171 ***************** Program LINEAR (VERSION 2007-1) *************** 225 1451 172 For All Data Greater than 1.0000E-10 barns in Absolute Value 225 1451 173 Data Linearized Using Energy Dependent Uncertainty 225 1451 174 Energy Accuracy 225 1451 175 (eV) (per-cent) 225 1451 176 ----------- ----------- 225 1451 177 0.0 .010000000 225 1451 178 1.00000000 .010000000 225 1451 179 10.0000000 .100000000 225 1451 180 2.00000E+9 .100000000 225 1451 181 ***************** Program SIGMA1 (VERSION 2007-1) *************** 225 1451 182 Data Doppler Broadened to 2100.00000 Kelvin 225 1451 183 for All Data Greater than 1.0000E-10 barns in Absolute Value 225 1451 184 Data Linearized Using Energy Dependent Uncertainty 225 1451 185 Energy Accuracy 225 1451 186 (eV) (per-cent) 225 1451 187 ----------- ----------- 225 1451 188 0.0 .010000000 225 1451 189 1.00000000 .010000000 225 1451 190 10.0000000 .100000000 225 1451 191 2.00000E+9 .100000000 225 1451 192 ***************** Program FIXUP (Version 2007-1) **************** 225 1451 193 Corrected ZA/AWR in All Sections-----------------------------Yes 225 1451 194 Corrected Thresholds-----------------------------------------No 225 1451 195 Extended Cross Sections to 20 MeV----------------------------No 225 1451 196 Allow Cross Section Deletion---------------------------------Yes 225 1451 197 Allow Cross Section Reconstruction---------------------------Yes 225 1451 198 Make All Cross Sections Non-Negative-------------------------Yes 225 1451 199 Delete Energies Not in Ascending Order-----------------------Yes 225 1451 200 Deleted Duplicate Points-------------------------------------Yes 225 1451 201 Check for Ascending MAT/MF/MT Order--------------------------Yes 225 1451 202 Check for Legal MF/MT Numbers--------------------------------Yes 225 1451 203 Allow Creation of Missing Sections---------------------------No 225 1451 204 Allow Insertion of Energy Points-----------------------------No 225 1451 205 Create Uniform Energy Grid-----------------------------------No 225 1451 206 Delete Section if Cross Section =0 at All Energies-----------Yes 225 1451 207 **************** Program DICTIN (VERSION 2007-1) **************** 225 1451 208 1 451 216 0 225 1451 209 2 151 4 0 225 1451 210 3 1 280 0 225 1451 211 3 2 132 0 225 1451 212 3 102 182 0 225 1451 213 3 103 189 0 225 1451 214 3 104 20 0 225 1451 215 4 2 100 0 225 1451 216 225 1 0 217 225 0 0 218 2003.00000 2.98903200 0 0 1 0 225 2151 219 2003.00000 1.00000000 0 0 1 0 225 2151 220 .025000000 1000000.00 0 0 0 0 225 2151 221 .500000000 .513226500 0 0 0 0 225 2151 222 225 2 0 223 225 0 0 224 2003.00000 2.98903200 0 0 0 0 225 3 1 225 0.0 0.0 0 0 1 831 225 3 1 226 831 2 225 3 1 227 1.00000E-5 267626.867 1.02999E-5 263701.868 1.06087E-5 259835.639 225 3 1 228 1.09269E-5 256024.323 1.12544E-5 252271.231 1.15920E-5 248571.037 225 3 1 229 1.19395E-5 244927.041 1.22976E-5 241334.567 1.26662E-5 237796.656 225 3 1 230 1.30462E-5 234308.313 1.34372E-5 230873.853 1.38403E-5 227487.199 225 3 1 231 1.42552E-5 224152.589 1.46827E-5 220864.925 1.51229E-5 217626.997 225 3 1 232 1.55765E-5 214434.558 1.60434E-5 211291.379 1.65246E-5 208192.097 225 3 1 233 1.70199E-5 205140.206 1.75304E-5 202131.411 1.80559E-5 199168.107 225 3 1 234 1.85975E-5 196246.734 1.91550E-5 193369.869 1.97295E-5 190533.648 225 3 1 235 2.03209E-5 187740.433 2.09305E-5 184986.452 2.15579E-5 182274.881 225 3 1 236 2.22045E-5 179601.198 2.28701E-5 176968.444 2.35561E-5 174372.516 225 3 1 237 2.42622E-5 171816.490 2.49899E-5 169296.302 2.57390E-5 166814.521 225 3 1 238 2.65110E-5 164367.776 2.73057E-5 161958.170 2.81247E-5 159582.692 225 3 1 239 2.89678E-5 157243.200 2.98367E-5 154936.716 3.07311E-5 152665.492 225 3 1 240 3.16528E-5 150426.266 3.26017E-5 148221.052 3.35795E-5 146046.997 225 3 1 241 3.45861E-5 143906.001 3.56235E-5 141795.175 3.66913E-5 139716.569 225 3 1 242 3.77919E-5 137667.170 3.89247E-5 135649.102 4.00923E-5 133659.326 225 3 1 243 4.12941E-5 131700.049 4.25327E-5 129768.200 4.38076E-5 127865.960 225 3 1 244 4.51216E-5 125990.417 4.64742E-5 124143.492 4.78681E-5 122322.590 225 3 1 245 4.93030E-5 120529.393 5.07818E-5 118761.514 5.23041E-5 117020.509 225 3 1 246 5.38729E-5 115304.059 5.54878E-5 113613.775 5.71521E-5 111947.315 225 3 1 247 5.88653E-5 110306.221 6.06310E-5 108688.205 6.24484E-5 107094.956 225 3 1 248 6.43215E-5 105524.112 6.62496E-5 103977.179 6.82368E-5 102452.006 225 3 1 249 7.02822E-5 100950.168 7.23903E-5 99469.4259 7.45603E-5 98011.2793 225 3 1 250 7.67967E-5 96573.6234 7.90987E-5 95157.9488 8.14712E-5 93762.1928 225 3 1 251 8.39134E-5 92387.6853 8.64304E-5 91032.5186 8.90212E-5 89698.0706 225 3 1 252 9.16913E-5 88382.3942 9.44399E-5 87086.7567 9.72725E-5 85809.3863 225 3 1 253 1.00188E-4 84551.4642 1.03193E-4 83311.4560 1.06287E-4 82089.9798 225 3 1 254 1.09475E-4 80885.8169 1.12756E-4 79700.1550 1.16139E-4 78530.9446 225 3 1 255 1.19620E-4 77379.9034 1.23208E-4 76244.8332 1.26901E-4 75127.1997 225 3 1 256 1.30707E-4 74025.3484 1.34626E-4 72940.0774 1.38664E-4 71870.0642 225 3 1 257 1.42820E-4 70816.6273 1.47104E-4 69777.8632 1.51513E-4 68754.9957 225 3 1 258 1.56058E-4 67746.5060 1.60736E-4 66753.3830 1.65557E-4 65774.2886 225 3 1 259 1.70520E-4 64810.0418 1.75635E-4 63859.3385 1.80899E-4 62923.2759 225 3 1 260 1.86325E-4 62000.3868 1.91911E-4 61091.4380 1.97667E-4 60195.3432 225 3 1 261 2.03592E-4 59312.9291 2.09699E-4 58442.9081 2.15985E-4 57586.1968 225 3 1 262 2.22463E-4 56741.5403 2.29132E-4 55909.7337 2.36004E-4 55089.6932 225 3 1 263 2.43079E-4 54282.0763 2.50370E-4 53485.8512 2.57875E-4 52701.8039 225 3 1 264 2.65610E-4 51928.7498 2.73572E-4 51167.5368 2.81777E-4 50417.0384 225 3 1 265 2.90224E-4 49677.9358 2.98929E-4 48949.2567 3.07890E-4 48231.7006 225 3 1 266 3.17125E-4 47524.2106 3.26631E-4 46827.5687 3.36428E-4 46140.6930 225 3 1 267 3.46513E-4 45464.3143 3.56906E-4 44797.4492 3.67605E-4 44140.7475 225 3 1 268 3.78631E-4 43493.2796 3.89981E-4 42855.7129 4.01678E-4 42227.0995 225 3 1 269 4.13719E-4 41608.0886 4.26128E-4 40997.7737 4.38901E-4 40396.7855 225 3 1 270 4.52066E-4 39804.2481 4.65617E-4 39220.7464 4.79583E-4 38645.4614 225 3 1 271 4.93959E-4 38078.9446 5.08775E-4 37520.4076 5.24026E-4 36970.3834 225 3 1 272 5.39744E-4 36428.1035 5.55923E-4 35894.0950 5.72598E-4 35367.6014 225 3 1 273 5.89762E-4 34849.1399 6.07452E-4 34337.9677 6.25661E-4 33834.6060 225 3 1 274 6.44427E-4 33338.3237 6.63744E-4 32849.6076 6.83653E-4 32367.7729 225 3 1 275 7.04146E-4 31893.2848 7.25267E-4 31425.4700 7.47007E-4 30964.8030 225 3 1 276 7.69413E-4 30510.6208 7.92477E-4 30063.3514 8.16247E-4 29622.3884 225 3 1 277 8.40715E-4 29188.1434 8.65932E-4 28760.0110 8.91889E-4 28338.4147 225 3 1 278 9.18641E-4 27922.7447 9.46178E-4 27513.4238 9.74558E-4 27109.8587 225 3 1 279 .001003771 26712.4504 .001033879 26320.6329 .001064871 25934.7952 225 3 1 280 .001096811 25554.3816 .001129689 25179.7795 .001163573 24810.4450 225 3 1 281 .001198452 24446.7443 .001234399 24088.1636 .001271402 23735.0495 225 3 1 282 .001309537 23386.9019 .001348791 23044.0739 .001389247 22706.0695 225 3 1 283 .001430892 22373.2145 .001473810 22045.0490 .001517989 21721.8854 225 3 1 284 .001563521 21403.2678 .001610389 21089.5183 .001658691 20780.1816 225 3 1 285 .001708412 20475.5609 .001759655 20175.2285 .001812403 19879.4775 225 3 1 286 .001866765 19587.8854 .001922723 19300.7475 .001980394 19017.6453 225 3 1 287 .002039758 18738.8660 .002100939 18464.0087 .002163917 18193.3422 225 3 1 288 .002228823 17926.4836 .002295634 17663.7003 .002364490 17404.6122 225 3 1 289 .002435368 17149.4775 .002508415 16897.9338 .002583608 16650.2252 225 3 1 290 .002661102 16406.0018 .002740871 16165.5076 .002823082 15928.3944 225 3 1 291 .002907706 15694.9014 .002994921 15464.6932 .003084697 15237.9959 225 3 1 292 .003177221 15014.4885 .003272461 14794.3922 .003370617 14577.3918 225 3 1 293 .003471655 14363.7030 .003575785 14153.0201 .003682973 13945.5525 225 3 1 294 .003793441 13741.0040 .003907154 13539.5756 .004024346 13340.9822 225 3 1 295 .004144980 13145.4179 .004269306 12952.6064 .004397283 12762.7354 225 3 1 296 .004529177 12575.5367 .004664944 12391.1939 .004804866 12209.4451 225 3 1 297 .004948897 12030.4691 .005097336 11854.0117 .005250134 11680.2462 225 3 1 298 .005407609 11508.9256 .005569708 11340.2193 .005736768 11173.8862 225 3 1 299 .005908733 11010.0919 .006085962 10848.6016 .006268395 10689.5754 225 3 1 300 .006456412 10532.7865 .006649949 10378.3903 .006849411 10226.1661 225 3 1 301 .007054729 10076.2649 .007266331 9928.47287 .007484147 9782.93551 225 3 1 302 .007708630 9639.44573 .007939704 9498.14591 .008177850 9358.83414 225 3 1 303 .008422990 9221.64758 .008675632 9086.39173 .008935694 8953.19916 225 3 1 304 .009203714 8821.88105 .009479605 8692.56673 .009519785 8674.54933 225 3 1 305 .009763940 8565.07207 .009846709 8529.56622 .010056625 8439.52237 225 3 1 306 .010184861 8386.89723 .010358267 8315.73921 .010534625 8246.50385 225 3 1 307 .010668767 8193.84466 .010896401 8108.35369 .010988770 8073.66513 225 3 1 308 .011270601 7972.40888 .011318170 7955.31919 .011657652 7838.63821 225 3 1 309 .012007102 7723.73866 .012057994 7707.72992 .012367248 7610.45541 225 3 1 310 .012472085 7578.90742 .012737969 7498.90083 .012900396 7452.14177 225 3 1 311 .013120036 7388.91579 .013343416 7327.39782 .013513323 7280.60861 225 3 1 312 .013801651 7204.64703 .013918647 7173.82543 .014275621 7083.85615 225 3 1 313 .014335873 7068.67145 .014765869 6964.99699 .015208491 6862.90517 225 3 1 314 .015272953 6848.68075 .015664661 6762.24970 .015797450 6734.21837 225 3 1 315 .016134225 6663.13009 .016339960 6621.58316 .016618162 6565.40497 225 3 1 316 .016901100 6510.74457 .017116308 6469.17105 .017481511 6401.67709 225 3 1 317 .017629702 6374.29103 .018081854 6294.35086 .018158171 6280.85877 225 3 1 318 .018702814 6188.74105 .019263450 6098.02960 .019345098 6085.39098 225 3 1 319 .019841246 6008.59439 .020009440 5983.68779 .020436008 5920.52387 225 3 1 320 .020696596 5883.60840 .021048973 5833.69253 .021407350 5785.12519 225 3 1 321 .021679938 5748.18595 .022142513 5688.21575 .022330215 5663.88254 225 3 1 322 .022902922 5592.85353 .022999587 5580.86544 .023689445 5499.01645 225 3 1 323 .024399561 5418.41691 .024502979 5407.23298 .025268741 5324.42547 225 3 1 324 .025300000 5321.13570 .026058858 5243.09741 .026168842 5232.27686 225 3 1 325 .026840000 5166.24986 .027067522 5144.83608 .027645049 5090.48360 225 3 1 326 .027997064 5058.78932 .028473738 5015.87340 .028958528 4974.11705 225 3 1 327 .029327791 4942.31301 .029953010 4890.79595 .030206922 4869.87508 225 3 1 328 .030981645 4808.80690 .031112960 4798.45642 .032045604 4728.12747 225 3 1 329 .033006792 4658.78865 .033146101 4649.17431 .033996206 4590.50782 225 3 1 330 .034284391 4571.48121 .035015901 4523.18779 .035461772 4495.02674 225 3 1 331 .036065539 4456.89497 .036679586 4419.79355 .037147303 4391.53499 225 3 1 332 .037939222 4345.76094 .038260833 4327.17230 .039242115 4272.91199 225 3 1 333 .039408443 4263.71529 .040589752 4201.22658 .041807217 4139.61762 225 3 1 334 .041983669 4131.07510 .043060432 4078.94889 .043609514 4053.51901 225 3 1 335 .044352004 4019.13368 .045297515 3977.24270 .045681502 3960.23105 225 3 1 336 .047051690 3902.15713 .048462114 3844.97012 .048872927 3829.03471 225 3 1 337 .049915706 3788.58766 .050765564 3757.05126 .051411981 3733.06544 225 3 1 338 .052730554 3686.25784 .052954052 3678.32438 .054541406 3624.41892 225 3 1 339 .054772579 3616.90844 .056177342 3571.27228 .056892670 3549.04010 225 3 1 340 .057861316 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