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1.98088348 2.03770304 2.06388855 2.02969432 2.05762410 2.07725644 2.05824780 2.01033449 2.02934861 2.07805777 2.08257556 2.03646469 2.00073576 1.96514678 1.87054062 1.80125928 1.77591014 1.74736524 1.63889050 1.46980524 1.34014332 1.27411354 1.22009981 1.25403225 1.50018847 1.80925131 2.06951046 2.20686293 2.34053636 2.59612536 2.88490057 3.11346340 3.18374729 3.27284241 3.35204029 3.36971712 3.35586476 3.42208982 3.62300014 3.73877764 3.69622684 3.51111746 3.28818345 2.99414682 2.82059050 2.70151329 2.61337662 2.57510233 2.48304796 2.42722774 2.41997647 2.45783448 2.52154875 2.57406855 2.61850452 2.66558528 2.69502592 2.65552783 2.66146946 2.60672951 2.52073455 2.43011856 2.35872126 2.36339760 2.35799456 2.35030198 2.34008050 2.31906319 2.31495285 2.30984664 2.31065941 2.31694937 2.32091689 2.34209704 2.40437579 2.44722319 2.44545388 2.40922451 2.37457180 2.32054663 2.27466869 2.24849129 2.23760080 2.17087865 2.15537596 2.17107964 2.17748523 2.11359429 2.00593758 1.98190784 2.03887200 2.14306808 2.22960210 2.30297613 2.41896081 2.49575830 2.55280733 2.71078134 2.67248511 2.47754478 2.08223701 1.67464221 54.0000000 1.51852691 1.42626238 1.40095413 1.40634036 1.39797270 1.32321703 1.29255927 1.32535636 1.41861069 1.59999287 1.92784214 1.72326231 1.56715286 1.41238809 1.27614272 1.23989272 1.43188989 1.70138299 1.81222534 1.76317275 1.78788388 1.82774436 1.85479093 1.91102839 1.98169649 1.99526918 2.01315737 1.94070899 1.87225199 1.84417057 1.83490491 1.86974561 1.89876807 1.90939105 1.89507627 1.85532737 1.74916601 1.64867640 1.56895554 1.51324630 1.47293746 1.51943839 1.64768672 1.69286251 1.63387847 1.59338033 1.62562931 1.60571718 1.58402324 1.58112717 1.58780944 1.54419208 1.58321238 1.64633322 1.69824624 1.72687197 1.97047448 2.23760605 2.32040715 2.18537903 1.97338641 1.86886919 1.83984840 1.83314502 1.83374321 1.86479294 1.84865224 1.79196262 1.73616123 1.71234822 1.74128532 1.76174796 1.75680721 1.71624565 1.65193272 1.59782422 1.49757981 1.41504025 1.38492334 1.40029109 1.41255105 1.45959973 1.51288056 1.59811473 1.72359395 1.88018048 1.96788728 2.07177973 2.22090197 2.36202574 2.35965085 2.34893990 2.48710179 2.76519895 3.14814377 3.57469797 3.67221022 3.73439622 3.71164608 3.56547356 3.26851678 3.10122657 2.93901420 2.89830446 2.95277071 2.93333268 2.88119912 2.85939002 2.79782963 2.79679894 3.12693286 3.27351665 3.31076097 3.35828519 3.45119047 3.54006076 3.66178107 3.73562765 3.72952104 3.65108442 3.54764271 3.57243347 3.57197475 3.59160900 3.67767978 3.87752819 3.98756647 4.08156633 4.19866228 4.37046957 4.62108374 4.60480165 4.53104639 4.46992588 4.39548206 4.18569517 3.72419930 3.03188515 2.55478334 2.33793664 2.02540255 1.89481568 1.84302318 1.78963673 1.72789598 1.72466850 1.73175550 1.75645244 1.81022501 1.90175247 2.03692698 2.12483883 2.19430399 2.29568362 2.42030382 2.50045681 3.34199619 3.54653645 3.34587240 3.03351474 2.96468830 2.68562984 2.46378303 2.33207083 2.28198934 2.26360798 2.21646166 2.18154287 2.19262481 2.24651718 2.30306530 2.34685206 2.37140775 2.41379857 2.47621655 2.52597785 2.54339862 2.55785751 2.57827258 2.60396934 2.62468171 2.63149452 2.64735341 2.65023375 2.63953352 2.63607502 2.68637586 2.74660468 2.76970911 2.75182629 2.73228121 2.71738267 2.62797332 2.53210044 2.47727704 2.49048138 2.50052428 2.48585916 2.44482565 2.38770413 2.33671570 2.31677961 2.28600979 2.23241210 2.15897775 2.08368659 2.07061148 2.06286955 2.05113101 2.03161979 2.00611210 1.99539018 1.97762179 1.96116221 1.93703258 1.87891984 1.80347741 1.73891461 1.67319953 1.60370684 1.53721809 1.48008966 1.42300582 1.38061714 1.35294437 1.32538056 1.33768952 1.44892001 1.64954066 1.93056893 2.28357053 2.73568630 2.46776104 2.07199502 1.84599388 1.79276943 1.76905406 1.80640090 1.99291074 2.27884507 2.47662544 2.51440477 2.55359674 2.58259344 2.51926517 2.21096015 1.99307454 1.90842927 1.86452460 1.82619262 1.81559753 1.78641284 1.78095198 1.77359605 1.77503979 1.83229184 1.85110807 1.79748559 1.75508428 1.73504901 1.67601132 1.63202417 1.72052181 1.82678032 1.88583744 1.88249254 1.90225375 1.95629871 1.98247087 1.96717525 1.94537771 1.91672170 1.87072694 1.86911643 1.92256367 1.99069202 1.86337566 1.73630869 1.54143953 1.32568479 1.25093055 1.40378296 1.72762549 2.00569582 2.18097901 2.35620856 2.56199002 2.82362247 3.11385465 3.37005448 3.49421072 3.56189561 3.68773627 3.79253578 3.85973859 3.93543291 4.16989470 4.22000933 4.14757490 4.00896788 3.85514331 3.76779532 3.57144904 3.28129601 2.97200251 2.77770925 2.61157227 2.49562097 2.45876932 2.49428630 2.55979371 2.57875228 2.55840111 2.51950932 2.48719335 2.49091649 2.50652122 2.50075889 2.50712061 2.52681851 2.52878928 2.52898788 2.55164623 2.54758167 2.50529313 2.45096087 2.42176938 2.38373470 2.36289835 2.36219835 2.36147070 2.35699224 2.35791612 2.36020541 2.36251235 2.36617684 2.36901474 2.34407115 2.30318141 2.25387597 2.19937968 2.16484022 2.14840269 2.13995194 2.11953592 2.05736494 2.01436138 1.99932623 2.05092883 2.20770717 2.50806952 2.82061863 2.80222940 2.60490561 2.39274621 2.34194469 2.40552092 2.36098051 2.25056601 2.14537883 53.0000000 1.73650181 1.61871696 1.49933839 1.43193710 1.42950773 1.46446908 1.62416744 1.81071389 1.95254135 2.03229713 2.08684492 1.99487209 1.91693020 1.84250605 1.77620745 1.73776305 1.92598951 1.98043633 1.98692131 1.97410297 1.91347980 1.98661768 1.98838222 1.99725556 2.01689053 1.97611058 1.97563696 1.89731967 1.82695162 1.80418825 1.82254946 1.88212335 1.87943280 1.84985542 1.80655158 1.74046421 1.60654068 1.51229703 1.45201182 1.41697824 1.39550364 1.40982330 1.45034397 1.48777509 1.49627626 1.45345688 1.46478474 1.42568612 1.39530301 1.39926994 1.42971420 1.41084218 1.47441006 1.51526880 1.51641750 1.54900503 1.76405525 1.95795918 1.98065317 1.86267042 1.81514072 1.79750288 1.79941010 1.80001390 1.79683006 1.80573750 1.80696309 1.83693969 1.84028995 1.81049538 1.78989565 1.76871443 1.69433105 1.63839555 1.60478532 1.52960300 1.44660628 1.38706732 1.35032701 1.33189785 1.32346439 1.34451222 1.41471314 1.55076146 1.71964622 1.83865356 2.08113885 2.39569163 2.75251412 3.05175972 3.12353015 3.02245975 3.11139226 3.25130367 3.35179281 3.37107658 3.41555834 3.49005651 3.62317348 3.86272192 4.27572823 4.25850058 3.79821825 3.39736557 3.18635035 2.92350507 2.82804680 2.79175544 2.87297273 3.07350826 3.33863878 3.32258725 3.38356590 3.46153474 3.57565165 3.82427311 3.78179502 3.79964375 3.82118630 3.82689285 3.83433843 3.92923617 4.00174284 4.05104256 4.10494423 4.21988344 4.02615929 3.90837145 3.95595384 4.15321779 4.37935114 4.82363510 4.99927521 4.99965239 4.92387152 4.87675953 4.27435827 3.59034133 3.18045926 3.01770592 2.69232059 2.45946980 2.30268383 2.04318500 1.75811374 1.78052807 1.79066861 1.85775459 1.94667864 2.03096175 2.09275246 2.12462330 2.14712715 2.21943331 2.34323955 2.46277094 3.11021256 3.49745989 3.39538026 2.93570256 2.61102009 2.61272931 2.52700353 2.45291638 2.43477964 2.46214032 2.48283505 2.48030210 2.49786973 2.53869247 2.56575227 2.60893440 2.62709093 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1.87971222 1.90543890 1.94128478 1.97716391 1.97912598 1.94317150 1.89525187 1.86893022 1.83253694 1.83391094 1.88282526 1.95098698 1.92966068 1.89104056 1.73844457 1.50045955 1.33094203 1.45062304 1.87660491 2.24971223 2.46827030 2.68810630 2.98559332 3.23219371 3.42227340 3.56968021 3.70774198 3.80675173 3.95000792 4.11785936 4.28060913 4.39851284 4.45382404 4.35313082 4.24548817 4.19312859 4.17146254 4.04090357 3.98540163 3.83679080 3.48965454 2.90131879 2.66452813 2.51420188 2.45007420 2.44247055 2.43230772 2.38133526 2.33649540 2.32801628 2.35856652 2.40325260 2.40796423 2.46001911 2.50551796 2.52273488 2.52211714 2.53787136 2.55968356 2.56789684 2.55469680 2.52411151 2.47583461 2.45316219 2.44431210 2.43021226 2.38449836 2.32830167 2.28405499 2.27988505 2.30834866 2.32643247 2.32373977 2.32802939 2.29930091 2.23564935 2.17326641 2.12694836 2.09904480 2.08527875 2.07099915 2.03118348 2.00633121 1.98704016 2.01510739 2.14076352 2.42267418 2.66051841 2.53931570 2.24084401 1.96630895 1.93634510 2.24317908 2.27024961 2.18206882 2.09943604 52.0000000 1.93619025 1.74338186 1.54874229 1.46326661 1.54803324 1.81420624 1.97750163 2.09106779 2.13887525 2.13492680 2.12325621 2.03445601 1.99164057 1.97759306 1.97513247 1.96711373 2.12202716 2.17913198 2.18372345 2.15643716 2.09324813 2.11130857 2.10691118 2.10154366 2.08158851 1.99832571 2.00697732 1.93260646 1.85795212 1.82505596 1.83526123 1.82558560 1.79370022 1.73651016 1.65761971 1.56733167 1.48149610 1.45209312 1.43121421 1.40477133 1.39249885 1.37467492 1.36417639 1.35197186 1.33065796 1.29445910 1.30240464 1.25559926 1.23152792 1.25347376 1.29051888 1.35555398 1.41899979 1.45957494 1.46622670 1.43813288 1.57281744 1.67791665 1.72257817 1.70754969 1.66517770 1.64362085 1.65255725 1.67955935 1.71518028 1.75295246 1.80926716 1.81671822 1.77684975 1.71629226 1.68676448 1.68214357 1.67235780 1.64380860 1.58500218 1.48654985 1.43403280 1.38506329 1.34440899 1.31280088 1.28693318 1.30531645 1.37335646 1.54219890 1.79505849 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