# du Puits & Hertlein R-B Convection data # Ra = 1.72E9 # Nusselt number time series, sensor 144 # Datum: 12/05/2020 # Uhrzeit: 09:57:09.574 # Zeitabstand: 0.2s # Nu 80.23825 81.50596 83.69934 85.42309 84.87130 83.96845 85.35017 86.82764 88.72007 90.83139 91.36950 90.23862 89.03015 87.79440 86.14357 84.27396 82.96517 84.00942 85.33191 86.37159 86.85948 85.85632 83.66294 83.39839 85.22246 87.18782 88.87060 90.39361 92.59167 95.76550 97.71716 97.56218 95.87951 94.86710 95.87038 96.54977 96.02993 93.77720 90.67641 88.25033 87.29727 86.31236 87.12402 88.93440 91.19625 94.38835 96.50880 95.62410 92.18116 88.30054 85.11758 82.57760 80.93134 80.50725 81.44217 82.88768 83.45317 83.73586 84.64784 85.84719 86.41268 86.22118 85.39570 84.26027 83.25699 82.51369 81.78409 80.67148 79.00695 77.25136 76.34395 76.30286 76.45328 76.42144 76.12962 75.64618 75.11721 74.36478 73.29771 71.93425 70.43852 68.94735 67.49727 67.07775 67.24186 67.62041 68.96105 71.51472 73.12446 73.74919 74.61106 76.45784 80.22456 84.10517 86.91426 88.30511 88.65171 89.25817 90.72195 92.27246 93.26649 93.54016 93.36224 93.03847 92.62807 92.92446 93.12965 92.45026 91.19169 89.69596 88.11817 87.18782 88.56497 90.28416 91.25092 91.85282 91.67044 90.76303 89.78714 89.16242 88.61062 87.97677 87.41128 87.36574 88.04513 89.04841 89.81910 90.27960 90.36622 89.77345 88.31880 86.21661 83.96845 82.64596 82.23100 81.13197 80.27466 79.77308 79.67733 79.14379 78.08585 76.51262 75.30415 76.03832 79.13922 82.45902 84.59317 85.85632 86.67711 87.37487 87.96764 88.42825 89.41315 90.99105 92.37734 92.90631 92.64633 92.01248 91.49720 91.94868 93.00663 93.86394 94.08272 93.60396 92.87892 92.47765 91.95770 90.74477 89.01189 87.06023 84.99900 83.34373 82.91051 82.35871 80.99068 79.23954 77.07812 74.61563 72.60462 70.95379 70.40656 70.84435 70.83522 70.72577 70.54796 69.82292 69.17994 68.89725 68.40468 67.96690 67.50184 66.69006 66.33445 66.77680 66.84516 66.31162 66.64909 68.79693 70.91739 71.93881 71.47364 69.93693 68.05820 66.77223 70.09192 74.97124 78.61025 80.72158 82.99713 84.87586 85.64655 85.64655 85.14041 84.39254 83.84987 84.77555 85.33191 85.08106 84.43808 83.35286 82.92420 84.46547 87.57550 90.48479 91.41515 90.45752 88.15914 86.38985 86.77286 87.71223 87.66669 86.54027 84.78468 82.78280 81.06361 80.22456 80.92221 81.85256 81.31446 79.64994 78.27278 78.97055 80.21086 81.14567 81.28707 80.25195 78.97511 78.17247 77.31516 76.03375 74.25077 72.18053 70.37472 68.91095 67.88484 67.45619 67.19632 67.57933 68.26796 68.77867 68.58717 67.47901 65.82373 63.81273 61.80617 60.19198 59.01089 57.93925 57.04999 57.08194 57.87534 59.15674 60.87593 61.81987 61.51892 60.83040 60.32414 59.82712 59.59910 60.98081 63.50710 64.78394 64.89795 64.24583 63.82631 64.65634 65.10771 64.39180 64.20943 64.72470 65.17162 65.44061 66.23413 67.12328 66.92721 65.61854 64.43289 64.20486 65.55463 67.93049 71.44180 75.28144 78.46440 79.52691 78.59199 77.78033 76.74065 75.80128 76.76347 77.05073 77.52492 77.68001 77.19213 76.97780 77.09626 77.11452 76.93215 76.13863 74.53814 73.22021 72.24433 72.14857 72.13488 71.20921 71.10433 72.25802 73.40715 73.52116 73.17913 72.44039 71.48733 70.82609 70.18767 69.45806 69.68152 70.39298 71.24116 70.91739 70.72121 70.98575 70.74860 69.75913 68.53239 68.62358 70.75316 73.93156 76.64490 77.68914 77.07355 75.39533 73.19282 71.09520 70.42939 70.78512 70.37016 69.27569 67.94875 67.04123 66.20674 65.06217 63.72599 62.20755 60.74366 59.76789 58.91971 58.04413 57.20965 56.94510 57.24149 57.03173 56.27930 56.27930 57.09107 58.42257 60.19654 61.57826 61.84726 62.89607 64.53320 66.65822 69.01583 70.68480 70.35646 69.18907 69.04310 69.94606 71.20921 72.89188 75.17199 76.42600 76.29830 75.07156 74.15045 75.04428 75.10808 73.33423 70.98118 69.12516 67.82105 66.97286 66.00611 64.68818 63.55275 63.43417 63.52079 63.13322 62.81858 62.73652 62.92803 63.23810 62.97813 62.24396 62.09810 62.81401 65.26737 68.60532 71.73818 75.59608 79.83242 84.01855 87.10576 87.82624 86.20748 83.05179 79.39007 76.22080 74.88006 74.33739 73.66257 72.60462 71.79285 73.37976 74.76148 75.20840 75.26774 76.30286 75.97909 76.83640 79.09369 80.10142 79.93731 78.19073 75.34980 73.22934 72.92840 73.26130 73.07881 71.91142 70.10561 68.57804 67.31033 65.99241 65.01652 65.38138 66.47117 67.51553 68.72389 69.89585 70.99944 71.08607 70.81251 70.33364 70.15126 70.61632 70.75316 70.20136 69.51741 69.47176 71.19551 73.31140 74.41500 75.85595 76.60381 76.50349 74.92571 73.22934 71.78828 70.28810 68.92909 66.94547 65.36769 65.18988 65.86471 67.09601 67.90767 67.57020 66.78136 66.33445 66.09273 67.14154 68.90182 70.83978 71.99348 73.03328 73.07881 72.03913 71.68340 72.35834 72.79612 72.39486 70.91739 68.81965 66.77680 65.88753 65.35856 65.06674 66.64453 68.51413 70.72121 74.85278 79.45843 83.80879 87.10576 89.40414 90.90432 91.20538 90.79487 90.27047 89.32653 87.59376 85.20420 82.28122 79.17118 76.09310 75.12634 75.86964 75.52304 74.36478 73.69441 73.46193 73.99547 74.69768 74.84822 74.51531 73.79027 72.68211 71.16812 70.08279 70.60274 71.20008 70.72121 70.25614 69.40796 68.49131 67.54737 66.44846 65.26281 64.15465 64.23682 65.21259 66.04708 66.49399 67.63411 70.03725 72.46322 73.36162 72.92840 72.28085 71.31865 71.34148 72.82808 74.18697 74.49705 73.81755 72.21694 70.11474 67.90767 65.80547 64.26866 64.81133 66.35727 66.75397 65.98328 64.75666 63.62111 62.68174 61.49153 60.22838 59.49878 60.19654 62.68631 64.19117 64.70644 64.71101 64.41919 63.91304 63.89022 65.00739 66.64453 67.51553 67.05492 66.00611 65.47713 65.87384 66.81320 67.98972 69.34862 70.98575 72.64103 73.61692 73.58496 72.50887 70.54340 68.32719 66.85885 65.55919 64.51951 64.19573 64.15921 64.30974 63.79903 62.84140 62.38079 62.82771 63.21071 63.03291 62.77749 63.32473 63.79903 63.84000 63.31560 62.00235 60.34696 59.04730 58.22194 57.61548 57.70666 58.39975 59.75419 60.89419 61.62380 61.97496 61.99322 62.48567 63.01921 64.18660 65.01652 64.87524 65.72342 67.07775 67.25555 66.06077 64.03151 62.73196 62.88237 62.45828 61.65575 60.73465 61.17232 62.29874 66.30249 69.98704 72.41757 74.36935 76.29373 77.14191 77.23766 77.17843 76.55816 75.40446 74.20067 74.80257 77.31516 80.20630 83.44404 86.07521 86.14357 84.44264 82.20818 79.96458 77.82598 76.08397 74.93484 73.65800 72.47691 71.37788 70.50688 70.21506 69.82292 69.11614 68.17666 66.95460 65.72342 64.63808 63.56188 62.72283 62.80945 62.86411 61.91105 60.56585 61.51435 64.95729 67.13698 67.83018 69.05223 71.34604 73.62605 74.52444 73.74006 72.71863 71.61960 71.80654 73.27032 74.11850 73.22021 71.95707 70.58448 69.29852 68.44577 67.96690 67.52923 66.52595 65.57745 64.72927 64.48755 64.95729 65.71885 65.84188 65.55006 65.06217 64.70188 64.53320 64.59700 64.26409 63.31560 62.14364 61.14048 60.01406 58.90601 58.02587 57.64287 57.77046 57.74775 57.30540 57.22791 57.84350 58.34508 58.52746 58.91514 59.17044 58.85123 60.05058 62.56317 64.81589 66.15652 66.49856 65.82830 64.34170 62.62251 61.72411 61.27263 60.25577 59.40303 58.80113 57.85263 56.59850 55.44937 54.41882 53.43837 52.41238 51.44562 50.74340 50.61570 52.13425 54.04038 54.73803 55.40384 55.13929 54.04494 54.56935 56.72621 57.77046 57.38289 56.51188 55.11647 53.44750 51.81950 51.55507 52.21631 52.46248 52.32576 52.15240 52.35760 52.47161 53.00971 54.64684 56.16540 56.36603 55.47676 55.07550 56.06953 56.33864 56.73078 58.94242 61.44599 63.18789 64.66091 65.87840 65.72342 65.65038 65.73243 64.99370 64.15921 64.69731 67.54737 69.88215 70.70306 70.34277 69.19363 69.33047 70.99488 72.69124 73.25673 72.77786 71.44180 69.16624 66.57160 64.35984 62.88237 61.69216 60.50206 59.14761 57.83437 58.25846 59.98221 61.21340 62.17559 62.96900 62.67718 61.43686 59.74506 57.90273 56.02400 55.32167 56.47548 58.29943 59.21152 59.51247 59.47595 58.78743 57.61548 57.41485 59.22978 61.44142 63.56188 65.98785 68.77411 69.81836 70.20136 71.15443 71.85676 71.78372 70.52970 68.14482 66.13381 64.54233 63.62567 62.92803 62.71370 63.06030 63.80360 64.54233 65.81004 67.00927 67.65225 67.64769 66.69006 65.49996 65.69603 67.74801 69.28939 69.06136 68.47772 69.49458 71.63786 73.92699 74.69312 74.10492 73.22478 71.35506 69.01126 68.59619 70.04182 71.98446 72.60006 72.91014 72.33551 71.94794 70.60274 68.91095 68.06265 68.56891 69.88215 71.66525 73.54855 74.17784 73.72180 71.75187 69.76358 70.21962 71.38701 71.30952 70.56622 69.21646 67.37413 66.41650 66.68550 66.90439 67.88941 69.21189 69.35318 69.80923 71.36875 71.34604 69.49458 67.37870 65.63668 64.69731 65.15793 66.00611 67.57476 68.90638 69.74087 70.12387 70.88087 70.91282 71.17725 71.72448 71.58308 71.35506 72.02087 73.51203 74.54259 74.36022 74.20980 75.48207 77.32429 78.61025 79.51321 79.92818 79.77764 79.06630 77.70284 75.92887 74.65660 73.98634 73.84494 74.25077 76.38492 79.83699 83.86357 85.63742 85.55993 85.34104 85.31821 85.43679 84.88499 82.98800 80.89037 78.46885 75.60966 73.64887 72.71863 71.86589 70.51144 69.39427 69.16168 69.58121 70.36559 70.95836 70.70763 69.36231 67.37413 65.36312 63.76251 62.85053 62.13907 62.16646 63.79447 65.76895 66.72202 66.38455 65.50909 64.84785 64.48755 64.37354 64.47386 64.92534 66.14294 68.17666 70.12844 71.09520 70.84891 69.35318 67.11415 64.93903 63.24723 62.07984 61.52348 60.73465 59.88635 59.18413 59.67659 60.28773 60.57955 62.93716 65.82830 67.99429 70.88087 72.63646 72.29454 71.40984 72.35377 74.13219 74.82083 74.12306 72.89188 72.03913 72.63646 73.43911 73.29314 72.82808 72.12575 72.10749 73.10620 73.70810 73.93612 74.85735 74.61563 73.16543 71.24573 69.37601 67.93049 66.92265 66.84516 68.54609 71.39614 74.13219 77.93988 81.10470 82.33132 84.15539 84.73457 85.19964 85.25898 84.69349 84.00486 84.03681 84.19647 83.54436 83.87270 85.89284 86.94165 86.86404 87.68039 87.38400 86.49930 85.39114 83.26156 81.92092 80.64408 78.74709 76.58555 74.75235 73.14272 71.63786 72.47691 74.45597 76.08853 77.26962 78.20442 78.04933 76.60381 74.57911 72.49974 70.62089 69.59947 68.59619 68.47772 70.02356 72.11662 74.30555 77.14648 79.75482 81.20958 81.27337 79.89622 78.04933 77.18756 77.84413 79.22585 80.73984 82.19448 83.65381 84.79837 85.64199 87.43867 89.28100 90.37991 91.65675 92.30886 91.42873 89.37218 86.83677 85.09019 85.12671 86.75015 88.87962 90.75847 92.57341 94.47040 95.97526 96.65465 96.73226 96.52695 96.06645 95.08143 93.60853 92.94272 93.35311 94.35639 95.25924 95.66518 94.83515 93.99610 94.08272 94.59354 95.22740 95.82930 95.80191 94.53420 92.63720 91.31939 90.21123 88.89788 87.41128 86.24389 85.42309 84.84391 85.33647 85.94294 86.39442 87.04653 86.54484 84.72544 82.50913 81.77039 82.22187 81.70659 80.27923 79.38094 79.01608 79.66820 81.76583 83.96845 85.11302 84.80294 83.11114 82.00298 81.59715 81.51966 80.72158 79.52234 79.21672 79.80503 80.36596 80.42519 79.91448 78.44157 76.26178 74.85735 75.14917 76.38035 77.60709 78.05846 77.47482 77.73925 78.55559 79.48126 79.71385 79.03434 78.00835 77.36994 77.20571 77.10083 77.45656 78.09954 77.94444 76.94584 76.12505 75.24948 75.08069 74.96223 74.27816 73.99547 74.26446 75.50935 79.11640 81.95744 83.29808 83.59903 83.52153 84.47460 85.32278 86.40355 87.18325 87.69408 87.86732 87.62104 87.47519 87.86732 88.98005 89.72780 90.48023 91.00464 90.95453 90.57609 90.38904 90.38904 90.42100 90.89519 91.98965 92.71013 91.72522 89.09851 86.18009 83.32090 81.32359 81.71572 83.96388 85.97489 85.86545 84.62958 83.84531 82.99256 82.31306 82.80562 84.10061 86.13900 88.85691 90.54870 90.03799 87.78983 85.55993 83.87726 83.49871 83.50784 82.89681 81.31446 79.59984 78.60112 77.73012 76.51262 75.07156 73.76745 72.73678 71.22747 69.26656 67.38783 66.27967 66.26141 66.99569 70.20136 74.91201 77.31059 77.97640 79.12553 79.88709 79.82786 78.48711 76.60381 75.02146 74.00460 72.73233 72.10292 72.30367 73.19739 74.55172 75.49565 75.45924 75.39533 76.69043 78.46885 79.65450 79.47669 78.80176 78.14519 77.45199 76.85009 76.22993 75.43642 74.25533 72.70494 71.35962 70.59818 70.60274 70.63458 70.05095 69.12071 67.58846 65.63212 64.08629 63.47069 63.35212 63.59840 64.06803 64.77937 65.40866 65.41322 64.80220 64.39637 64.58330 64.88882 65.51354 65.98785 65.84644 65.55463 66.13381 66.47573 66.25684 65.63668 64.33257 63.32016 63.01921 64.05433 65.15336 65.15793 64.44202 63.99510 64.47386 65.27194 64.93903 63.24267 61.15874 59.92743 59.68115 59.80429 59.61736 60.50206 61.47795 61.50522 61.04929 60.78018 60.46554 60.15546 59.84081 59.14761 58.65060 58.48192 59.00176 60.11894 61.75607 63.11040 63.96314 64.24583 63.29277 61.61467 61.13591 61.90649 63.81273 64.23225 63.88565 64.45560 65.27194 65.81460 66.44846 66.39824 65.38595 65.38595 67.39239 67.93506 67.04123 67.83931 70.01899 72.28541 74.26446 75.15373 74.51988 73.21565 72.31725 72.01174 71.27300 72.12575 72.80982 71.57395 69.37144 67.96233 69.62229 72.51800 74.92571 76.76804 77.76207 77.27875 75.33154 72.94666 70.85348 69.29395 68.35002 67.77083 67.40152 67.16893 66.44389 65.45431 65.54093 66.76767 68.33632 69.43535 69.76358 69.58577 69.17994 68.84704 68.58261 68.92453 70.42026 71.91142 71.76100 70.34277 69.20733 68.74672 67.78453 67.30120 67.68877 67.31033 66.42107 65.88753 65.32660 64.52864 63.90391 63.18789 62.42188 62.18472 61.93388 61.92475 63.10583 64.73840 65.28107 65.85558 67.72529 70.50243 71.85219 72.47235 72.05282 70.33364 68.18579 66.25239 64.91621 64.38723 64.66992 64.94816 64.48755 63.33386 62.31243 62.26222 62.80032 63.89935 66.03350 66.82690 67.21447 67.81648 66.96830 65.90579 65.44974 65.02109 64.46016 63.83544 63.82631 64.55146 64.58787 63.95401 62.71370 61.21797 60.41087 60.33783 60.56585 60.62520 60.17828 59.82712 59.74963 59.33923 58.19912 56.79925 55.13929 53.34262 51.83319 51.09446 51.49127 52.28011 52.13870 52.22087 53.37001 54.13613 53.89898 53.64813 53.83963 53.65726 53.61172 53.27882 52.77256 53.30164 53.44293 52.70876 52.38955 52.42151 54.09048 55.19408 56.10149 57.50147 58.08510 58.33595 58.54572 58.39975 57.59265 56.77186 56.39331 56.47091 57.74775 59.33010 60.75279 63.38864 64.76122 64.09542 62.65892 62.16646 61.52348 62.15733 62.78662 62.87324 62.05702 61.37295 60.93528 59.87277 59.64475 61.87921 65.53637 69.69978 72.65929 73.62605 73.17913 72.15771 71.05868 70.00073 68.99300 67.43336 65.40421 64.28235 64.97555 64.89795 64.54233 64.59243 65.44518 67.39696 69.65425 70.75773 70.14213 68.88812 68.20405 67.73442 67.06405 66.47573 65.93775 68.14026 70.39298 71.16812 71.69253 73.16087 74.64302 74.96223 74.36935 73.81298 73.78571 73.87689 73.12446 72.22607 72.83721 74.19610 76.08853 77.83956 78.61938 77.99466 76.90476 75.65988 74.67942 75.07612 76.56273 77.67545 77.13735 76.01561 77.09626 79.98284 82.37697 83.92736 84.70262 83.87270 82.31306 80.91764 80.79005 81.84343 83.20232 83.89997 82.62770 81.22784 79.85057 77.95357 75.90160 74.42413 74.65203 75.16743 75.47294 77.81685 79.18488 79.58158 79.68646 79.81873 79.66363 78.96142 77.31516 75.12634 73.93156 75.40446 77.16474 78.23181 77.73468 76.60381 75.83312 76.02919 76.74521 76.79075 76.18885 75.07612 75.08526 75.45011 75.37262 74.29185 72.67298 71.22747 69.64055 67.83474 66.72202 66.75397 68.09917 68.01255 66.69463 65.71885 65.73243 66.49399 67.88941 69.07962 69.87302 70.00530 69.52197 69.18450 68.30893 66.71745 65.11227 63.98140 63.61198 63.35668 62.65892 61.45512 59.98678 58.84667 59.21152 59.95026 60.01862 60.39261 61.33198 61.46882 60.83953 60.66617 60.53390 60.11894 59.97308 59.63105 59.87277 61.45055 64.51038 66.79494 68.52326 69.36231 69.64512 69.28939 68.54152 67.40152 66.42563 66.71289 67.35131 68.88356 70.60731 71.41897 71.40527 70.56622 70.24701 70.76686 70.86717 70.93553 70.61176 69.73630 68.92453 69.14342 69.49915 71.48733 74.62932 77.10083 78.59656 79.58158 80.21086 80.53007 80.25651 78.88849 77.69371 77.76207 77.09626 76.55816 75.51848 74.14589 73.25217 73.36618 74.18697 75.06254 75.37719 75.09895 75.03059 74.64747 73.78571 73.35249 74.00905 74.65660 74.59280 73.97721 74.02275 74.78431 74.80713 73.38433 72.19423 72.23063 73.06512 73.18826 71.94338 71.12259 72.27172 73.56681 74.19154 74.13676 73.29771 71.64243 69.55382 67.74801 66.55334 65.88297 65.16249 64.72014 64.57417 64.34170 64.90708 65.58658 65.93775 67.17350 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81.51053 83.20689 85.72861 87.92199 87.74418 86.17552 83.81792 81.42391 79.60897 77.76664 75.90616 74.26903 72.72320 71.39158 70.40200 70.41569 71.29583 71.61504 70.57535 69.62686 69.50371 69.66783 71.72905 74.20523 75.68727 76.11592 75.34523 73.69441 71.78828 69.46719 67.36044 66.01524 65.18988 64.32800 63.19702 61.86552 60.87593 59.99580 60.28773 61.00364 62.23483 63.94945 65.23998 65.89210 65.88297 65.45887 64.40550 63.23354 62.61338 62.25309 61.90649 61.62836 61.36850 61.46425 61.80617 61.96583 61.63293 60.98538 60.79388 61.61923 62.24396 62.21212 62.93716 64.79307 67.39239 70.22419 72.47691 74.02731 74.62932 74.42869 74.38304 76.07940 77.91717 78.52363 77.92173 76.82727 75.70096 74.83452 74.09122 73.07881 71.66982 69.74087 67.79366 66.19761 64.66091 62.99639 61.94301 62.35340 63.30647 63.18789 62.91433 62.90520 62.90520 62.49024 61.72411 60.47010 58.92427 57.38289 56.83109 57.18682 57.23236 56.38418 55.42210 54.31850 53.86702 55.08463 56.84479 57.74775 58.90145 61.03559 63.11496 64.72927 65.15793 65.48626 65.64581 65.40866 64.44202 63.22441 62.54034 62.56317 61.92018 60.97168 60.20556 59.17957 57.69753 56.76730 56.71252 57.24149 57.16856 56.23832 56.85392 58.37247 59.33467 61.64662 64.86611 67.39239 69.12972 70.29255 70.60731 70.20136 69.71804 69.68152 69.78184 69.42622 68.60532 67.44706 66.35727 65.70516 65.95133 66.50312 66.80864 66.44846 65.20803 63.38407 61.65575 60.42445 59.80429 59.34836 58.36791 57.34180 58.07609 59.69028 62.07071 64.51038 65.45887 65.07130 64.29605 64.92077 66.90895 68.34089 68.20405 66.79038 64.56048 62.10723 59.79973 58.67799 58.71451 59.58997 62.49937 66.83603 71.51929 74.73877 75.19470 73.87233 72.14401 70.42939 68.70563 66.89081 65.23998 63.74425 62.22570 60.70269 59.47595 59.76789 61.41403 63.29734 64.83415 65.95133 66.34814 65.69603 65.43148 65.90123 66.57605 68.10374 69.98704 70.97205 70.32907 68.87443 67.76170 67.67051 68.00342 68.01711 67.15524 65.39051 63.90848 63.11496 62.38536 61.36393 60.02319 58.99263 58.84210 58.96068 59.40303 59.38477 59.39846 60.80757 63.35668 66.40737 68.55978 69.70435 69.78184 69.86401 70.24245 69.83205 69.47176 68.99300 69.05223 69.48089 69.66783 69.08875 69.11158 70.68480 72.10292 72.46778 72.26715 72.21237 72.43583 72.39942 71.02227 68.91095 67.32848 66.34358 66.47117 68.37284 73.35705 78.49624 82.07145 83.85444 84.80750 84.88499 84.32863 83.45317 81.51053 78.81089 76.52175 75.05341 74.19154 73.99547 74.10492 73.51660 72.03913 70.10105 68.21318 66.85885 66.02893 66.70832 69.32134 72.39486 73.56681 73.14272 72.57723 71.94338 71.88415 72.59549 72.86448 72.94209 73.09251 73.00589 72.34008 70.80794 68.73759 66.78136 65.92862 65.95133 66.01980 65.88753 65.64581 65.82830 67.16893 68.25427 68.84704 69.38514 69.63142 69.94606 70.24245 69.80466 68.81508 67.60672 66.38911 64.93447 63.92206 63.83087 64.07259 64.00879 63.54818 63.47982 63.62111 63.62567 63.55275 63.11496 61.94301 60.26034 58.59593 57.11846 56.38418 56.41613 56.35690 55.55426 54.64684 53.88528 53.82605 54.68325 56.39331 57.86633 57.94838 57.08194 56.59394 56.92228 58.19455 59.27989 60.30142 61.25905 61.78346 61.55087 60.57955 59.56714 59.24804 60.63878 63.31560 66.39824 68.34089 69.10701 68.84704 67.53824 65.92862 65.84644 68.65553 72.22607 73.89972 73.15185 71.67427 70.68480 69.75456 68.13113 66.01067 64.37810 63.38864 62.78206 62.48111 62.20755 61.89747 62.95085 63.94945 64.29148 64.35071 63.79903 62.74109 62.97813 64.13194 64.11824 63.09670 62.66348 62.41275 62.42188 64.24127 65.28563 66.60801 67.30577 68.00342 69.56751 69.78184 68.38186 66.51682 65.19445 64.00879 65.22172 66.62170 67.47901 67.45619 67.09144 68.00342 69.43992 70.47960 70.42026 71.25474 72.27172 72.67755 72.51800 71.56494 70.33820 69.00213 68.28611 67.83474 69.18907 70.55253 70.65284 70.18322 69.27113 67.80279 66.55334 65.41779 64.37810 63.01921 61.41860 60.03232 59.25250 58.89688 58.24933 56.99988 55.75489 54.83378 54.13613 53.57520 53.46119 53.93093 54.41425 56.11518 58.96524 59.93200 60.29229 62.58143 64.94816 65.72787 65.03478 64.36441 65.49539 67.27838 67.82105 66.71745 65.68233 66.04708 67.07318 67.20089 66.82690 66.50769 67.34218 72.26259 76.57186 79.99197 82.66879 83.97301 84.25570 83.17493 81.90723 80.53007 78.61938 77.36537 77.28788 76.82270 75.72824 74.03188 72.58636 71.79285 71.05868 70.89913 71.81111 72.66385 74.41956 77.58426 81.36912 84.94879 88.36890 91.39689 93.23008 93.13878 91.50177 90.31155 90.60337 91.65675 92.84697 93.59483 93.71341 93.20269 92.67372 92.07171 91.24179 89.91942 88.20023 85.91555 83.45317 80.93590 78.79263 77.64349 77.31059 77.12822 77.20114 78.29104 80.73071 83.74499 85.88371 86.31236 85.09476 82.97430 81.39195 80.61213 79.87796 78.56015 77.25592 76.44883 75.19927 76.00191 79.59984 82.21731 82.10329 80.97242 80.85385 81.72029 81.27794 80.22456 79.83242 81.16849 82.83290 82.58673 81.92092 81.42847 80.38411 78.98424 77.64349 77.14648 77.94444 79.60440 81.43760 84.12800 87.30640 89.93768 92.45939 95.43259 97.55761 98.30091 98.62012 98.63382 98.17321 97.61228 97.16091 96.75497 96.38566 96.24882 96.28534 96.06188 94.86710 92.47765 90.27047 89.86920 90.35720 90.10635 88.62888 86.40355 84.22831 83.47132 83.28895 82.61857 81.55150 79.91448 77.97640 77.06899 76.88650 76.12049 74.57454 72.85992 71.00401 69.07962 67.57476 67.31935 68.19036 69.34862 70.00986 69.77727 68.88812 67.29664 65.55006 63.99053 63.27919 63.65763 64.15465 64.09085 63.84457 64.79763 65.48626 65.03935 65.18988 66.11555 67.10057 67.90310 68.43207 68.78780 69.19363 69.07049 68.00798 66.73115 65.55463 64.78850 64.51038 65.30834 67.68421 70.30168 72.15314 73.84037 74.93940 75.56869 76.38492 77.44743 78.19529 78.16334 77.28331 75.70998 73.85407 72.05739 70.70306 69.86401 69.25743 68.45946 67.46532 65.99698 64.26409 62.60425 62.12081 62.85955 63.69872 63.83544 63.07388 61.66488 60.40631 59.15674 58.48192 59.13860 59.47595 59.22978 58.26303 58.21738 61.39577 64.91164 66.14751 66.27967 66.41650 68.34545 70.06921 70.79425 70.58905 70.72577 72.86905 75.07612 76.07027 75.77389 74.32381 73.36162 73.44824 74.10948 74.82083 75.00320 75.42272 76.04745 76.98225 77.08725 76.35753 75.43185 74.77974 74.49705 74.39674 74.00003 74.24164 75.35893 75.92431 74.96223 74.11405 75.14004 77.62980 79.59071 80.23369 79.81416 78.97055 78.82002 78.00379 75.83769 73.26575 73.05154 75.04885 76.98225 78.04031 78.06302 76.80444 75.20383 74.09122 72.72320 71.20921 70.44765 69.90041 69.02028 68.41381 67.70703 67.67508 68.12200 69.23004 70.21506 70.29255 70.06464 69.97791 70.58448 71.45093 71.85219 72.17140 72.25346 71.39614 70.10561 68.60532 67.15067 66.17478 65.66407 67.75714 72.66842 77.97183 82.27665 84.67523 85.28626 84.64327 83.25699 81.42391 79.69559 79.47669 81.12741 83.18863 84.83033 85.99315 86.49930 85.96576 84.92151 84.63871 86.11173 87.87189 88.55139 88.16371 86.54484 84.20549 81.59715 79.11183 77.01421 76.34395 77.24223 78.72883 79.60440 79.75482 79.21227 78.50081 77.95357 77.35168 76.23450 75.29958 76.10223 78.19529 80.83102 83.58077 85.72861 87.01458 87.26086 87.08750 86.98719 86.65428 85.75600 84.82120 83.99573 85.55993 86.37159 86.75460 89.08938 92.64633 95.01763 96.27165 97.23840 98.13669 98.49698 98.09115 97.71260 97.79922 98.62469 99.34516 99.37712 98.96672 99.59145 101.04153 102.35488 103.28969 103.45836 103.49945 104.01929 104.98605 105.52872 105.12289 104.09678 102.92939 101.62516 100.17965 99.19007 100.06564 102.27728 103.83235 103.08905 100.31649 96.65922 94.55246 95.73811 97.61228 97.53935 95.19088 92.52319 91.07768 90.67641 90.42556 90.07440 89.27643 87.88558 86.01130 84.37885 83.48501 84.26027 87.51159 92.40918 96.70943 99.58232 100.33931 100.22530 100.47147 101.34704 102.47335 103.03427 102.75615 103.74573 105.23233 105.81597 105.61534 105.53785 106.66415 108.98524 110.48097 110.24838 109.21783 107.73123 105.99834 103.98277 101.99459 100.12042 98.46959 97.08331 95.76550 94.22412 93.54016 94.56615 95.72441 95.52378 94.11467 92.44570 91.50177 91.13234 90.08353 88.15914 85.59634 83.51240 81.77496 79.96458 80.10142 81.77039 83.99573 86.00685 85.86088 84.85760 83.44861 81.90723 80.12881 78.08585 76.12962 74.33282 72.77786 72.27172 72.21694 71.70622 71.14986 70.79881 71.06781 71.68340 73.02871 75.32241 76.34840 77.72555 79.07999 78.97511 77.80772 77.28788 77.60252 78.52820 79.50865 79.62266 80.01936 80.68517 80.26564 79.08912 78.42331 78.80176 79.96915 81.58345 84.11887 85.22703 84.89869 83.99573 82.29936 80.13794 77.90347 76.16602 75.44098 75.47750 75.62792 76.50806 77.73012 78.39592 77.78946 78.09041 79.46756 81.34630 82.44533 81.49227 81.23685 81.86626 82.45446 83.72217 83.68565 83.38470 82.59130 81.23685 79.59527 79.53136 80.93590 83.03365 83.64011 82.84203 83.41209 85.85175 87.74875 88.78843 90.53957 93.24823 95.36412 95.45086 93.48082 90.64902 88.58323 87.53898 86.12531 84.79381 84.76185 85.23616 85.97489 88.82039 92.28604 94.64364 95.21827 95.85669 96.05732 96.23969 96.40392 96.55434 96.94202 97.05147 96.37196 96.87354 98.05463 98.79337 98.38297 96.91463 95.84756 95.88408 96.14850 95.87951 94.98111 93.19356 91.01833 89.35392 88.10448 87.18325 87.47062 88.35521 88.72463 88.81582 88.93440 89.08036 89.89203 90.46208 90.15645 89.17612 87.70778 86.03412 83.98214 81.65638 80.81276 81.98472 83.77695 85.07650 84.98074 83.58990 82.33588 81.41021 80.15620 78.70144 79.29889 80.78092 81.73855 81.33272 79.76395 77.82598 76.02017 74.11405 71.85219 70.30168 69.02028 68.23601 68.14939 69.08419 71.88415 73.50290 74.41500 74.62019 75.46381 76.39861 76.30743 75.82399 75.55956 75.02602 73.63518 72.78243 72.79156 72.15771 71.26844 70.70306 72.20781 75.05341 77.77577 79.92361 81.30989 81.76583 81.01796 79.31258 77.13735 74.66116 72.04826 69.84575 68.28611 66.84516 64.89338 63.31103 62.30330 63.17431 65.34486 66.38911 66.66279 66.59888 66.30706 66.35727 67.63856 69.16624 69.81836 69.06136 67.99885 68.25883 68.82421 68.61901 69.07049 69.91867 69.80923 68.79693 68.41838 68.25427 69.04310 70.90826 72.76873 73.78571 73.64887 72.81895 71.62417 70.04638 68.15395 66.58975 65.81460 65.31747 65.73243 68.54609 70.78512 73.57138 76.09310 76.18885 75.51391 75.97909 76.90476 76.59468 75.91529 76.42144 77.38820 77.81229 78.17703 78.46885 78.82915 79.53136 79.72298 78.79719 76.60381 73.80385 71.05411 68.72846 66.37998 64.83415 65.31291 67.35131 69.54925 71.30039 73.41172 75.94713 78.25007 80.47541 82.35414 83.08831 82.31762 80.95873 80.91308 82.44076 83.44404 84.21005 84.76185 85.14954 85.23159 85.12215 84.57948 83.25699 81.06818 78.45070 76.13407 74.27816 72.96480 71.63330 70.28353 69.23004 69.19820 69.52654 69.69065 70.18767 70.43852 70.47960 70.33364 69.91867 68.97018 67.38783 65.29476 63.23354 62.85053 64.99370 68.80595 72.62288 75.15373 76.00648 75.06711 72.79156 69.88215 67.69790 66.61257 65.94220 66.13381 67.80279 68.75128 68.81508 69.21646 69.95063 70.81251 71.72448 72.65472 73.37520 73.45280 73.01502 72.47691 71.99348 71.60591 73.03328 74.99863 76.15233 76.43970 76.58099 77.28788 77.65719 77.49308 77.08268 77.04160 77.84869 79.34442 80.79005 81.88440 82.23100 81.79778 82.70531 84.76185 85.48689 85.34104 84.86217 84.13713 82.50913 80.02393 77.13735 74.41956 72.42670 71.68796 71.59221 73.08794 74.86180 75.90160 76.38948 76.61751 75.69640 74.47879 73.90873 74.14132 75.24035 77.27418 78.43701 79.40377 80.47541 80.64865 81.37369 81.63367 81.37825 81.15023 80.51181 80.87667 81.60628 81.71572 82.46815 82.78736 83.48958 84.62958 85.36843 85.20877 84.30592 84.78924 86.17552 86.46734 84.67979 82.24926 80.16978 80.54377 81.62454 83.24786 84.83489 86.43995 89.81453 94.19216 97.84487 100.43506 102.30467 104.21079 105.93911 106.34494 104.66227 102.66496 102.43694 102.76071 102.45063 101.55224 100.66309 99.84218 99.28137 98.94846 98.93933 99.25854 99.73273 99.66894 98.56991 96.71856 94.85341 93.57201 92.83784 91.44699 89.27643 86.76829 84.15995 82.00298 81.67007 81.79322 81.49683 80.93590 79.84612 79.19401 79.75482 80.62126 81.09557 80.61669 80.16978 80.20630 79.93274 79.78677 79.14835 77.73012 75.74650 73.88602 72.60006 71.55124 70.57535 69.46263 68.14482 67.44706 68.45033 70.52970 72.62745 73.66713 73.14272 72.24889 70.85804 68.80595 67.22816 67.07318 68.04450 69.43992 71.16356 71.59221 71.90229 72.86905 73.05154 72.39486 73.29771 75.51848 76.56729 75.69183 74.20067 72.65472 71.97990 71.68796 70.87174 71.32778 71.84763 71.92055 73.64431 74.68399 74.82996 75.22209 75.01689 74.26903 72.96024 71.92055 70.93553 69.76358 68.29524 66.96373 68.02624 69.95063 71.36419 72.16684 71.82937 70.91739 69.49002 68.69662 69.67239 70.08735 69.95976 70.13757 70.65284 71.70166 72.66385 73.75832 76.61751 80.60756 84.01855 85.70578 85.38201 84.22375 82.39968 82.97887 84.01399 84.26940 84.14169 83.80422 83.14298 82.06232 80.19717 77.59796 74.72051 72.62745 71.63330 71.15443 70.36559 69.12972 67.74801 66.66279 66.92265 67.77083 67.93049 66.93178 65.38138 64.69731 65.05761 65.40421 65.99241 67.05492 68.15395 68.36828 67.87115 68.72846 71.09063 73.41628 74.45597 73.73093 72.80982 72.78699 73.00589 72.45409 72.14857 72.79612 73.26575 72.77330 71.90686 75.06254 78.22268 79.59984 80.46171 80.70332 80.46628 79.09369 76.90932 74.80713 73.83124 73.20195 72.39942 73.14729 76.38492 79.41290 81.32359 81.55150 80.17891 78.70144 78.17703 77.25592 75.51848 73.37075 71.25931 69.54480 68.19949 66.72658 65.01652 63.28821 62.59512 63.85826 65.34943 66.52138 67.77996 68.57804 69.23917 69.28026 68.37284 66.62170 65.18988 65.01196 65.45887 66.25684 67.31033 68.21775 68.24970 67.81648 67.73899 68.92909 70.21506 70.25614 69.02484 66.85429 64.72927 63.53449 63.53905 64.34170 65.45431 66.09729 65.85101 64.74296 63.67133 63.06030 62.38079 61.57826 61.33654 60.81214 59.70398 59.27989 59.72224 60.35609 60.45184 59.84081 59.25706 59.60366 60.40174 62.01593 63.64850 65.35856 65.77352 65.44974 64.87969 64.88882 66.15196 67.22816 67.66595 68.04907 67.25099 66.02437 64.61526 63.30647 62.19385 61.40034 60.86224 60.29686 59.18413 57.60635 55.87803 55.24874 57.32822 59.97308 61.33654 61.86552 62.41275 62.59512 62.70913 62.35340 61.68771 61.11309 60.52933 60.50206 61.27720 62.61795 64.48299 67.40152 70.95836 74.04557 76.07027 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78.11324 76.52175 75.12178 74.11850 73.36162 73.06512 73.28858 75.36349 79.88252 83.45317 85.55537 86.56310 87.13315 87.98133 88.91157 90.59880 91.32384 89.16242 86.49017 84.72544 83.57163 82.26296 80.55290 78.66047 77.60252 77.82598 78.68774 79.00695 77.66175 75.50022 73.32966 71.21834 69.15255 66.90895 65.13967 64.82502 66.51682 68.45946 69.41253 70.63002 71.80654 71.90229 70.78512 69.44437 68.61445 67.85745 66.97743 66.61714 65.89666 65.21259 65.16706 64.70644 64.65634 65.46344 66.63540 68.21775 70.31538 72.03913 72.19423 71.81567 71.47820 71.45549 71.43267 70.82609 69.97334 69.30308 68.59619 67.67508 67.89397 69.74543 73.84037 78.37766 81.53335 82.87399 83.43035 84.28766 84.43351 83.38013 83.75412 85.25442 86.49017 87.51159 88.56954 88.06339 86.11618 84.43808 83.51240 82.83290 82.04406 82.96061