BY LARS EINAR S. STIENG AND MICHAEL MUSKULUS
FOR: "RELIABILITY-BASED DESIGN OPTIMIZATION OF OFFSHORE WIND TURBINE SUPPORT STRUCTURES USING ANALYTICAL SENSITIVITIES AND FACTORIZED UNCERTAINTY MODELING"
 
%iter_no      Diameters (first half) and thicknesses (last half) 
       0 6.0000000000 6.0000000000 6.0000000000 6.0000000000 5.7870000000 5.5740000000 5.3610000000 5.1480000000 4.9350000000 4.7220000000 4.5090000000 4.2960000000 4.0830000000 3.8700000000 0.0600000000 0.0600000000 0.0600000000 0.0270000000 0.0262000000 0.0254000000 0.0246000000 0.0238000000 0.0230000000 0.0222000000 0.0214000000 0.0206000000 0.0198000000 0.0190000000 
       1 6.0305679601 6.0090057944 5.9963817803 6.0812263723 5.8862725548 5.6931575119 5.4976532952 5.3016750179 5.0950345319 4.9039757525 4.6609106625 4.4247085156 4.2095279926 4.0134807209 0.0598684641 0.0597835534 0.0597318196 0.0283336852 0.0277193583 0.0271248066 0.0265041113 0.0258771270 0.0251402587 0.0245581320 0.0234645529 0.0224495713 0.0216450885 0.0210208234 
       2 6.1242323151 6.0486030512 6.0000350112 6.3354758131 6.1423293938 5.9525156703 5.7604821990 5.5715028592 5.3647513653 5.1694894567 4.9141279448 4.6629898600 4.4455718988 4.2595721507 0.0595061171 0.0592084248 0.0590104477 0.0320957315 0.0314444194 0.0308329510 0.0302047168 0.0296092287 0.0288514316 0.0281975339 0.0270265012 0.0259086972 0.0250916351 0.0245248813 
       3 6.2215558302 6.0887483527 5.9986706175 6.5408428330 6.3660740929 6.1936446244 6.0142650500 5.8367477125 5.6335273718 5.4384801593 5.1755680323 4.9151630792 4.6988431639 4.5138938025 0.0589167423 0.0583910414 0.0580218724 0.0354912735 0.0350543952 0.0345557924 0.0339985274 0.0334666113 0.0327128474 0.0320227100 0.0308148470 0.0296463651 0.0288467152 0.0282549898 
       4 6.1807039876 6.0584839288 5.9758512346 6.4951870119 6.3163747372 6.1400022633 5.9577331112 5.7773959812 5.5734694076 5.3780208030 5.1177489459 4.8602840464 4.6441972157 4.4599525381 0.0587708578 0.0582915819 0.0579559309 0.0347024747 0.0342267641 0.0337017673 0.0331280555 0.0325797839 0.0318273938 0.0311433727 0.0299567250 0.0288114556 0.0280138027 0.0274351791 
       5 5.9994469066 5.9159548247 5.8601601890 6.3161628124 6.1217147154 5.9299762681 5.7364108651 5.5448635959 5.3383568131 5.1411483168 4.8923414958 4.6474127408 4.4329319575 4.2522772062 0.0578862954 0.0575810052 0.0573691050 0.0315748315 0.0309493603 0.0303229667 0.0296868351 0.0290751688 0.0283401982 0.0276792458 0.0265888030 0.0255492748 0.0247683049 0.0242477155 
       6 5.9545563384 5.8684103547 5.8098873709 6.3048890153 6.1097203506 5.9170956418 5.7227991633 5.5302142848 5.3237429694 5.1258825093 4.8795174695 4.6368676757 4.4235471664 4.2447416149 0.0573011554 0.0569932110 0.0567754853 0.0313265135 0.0306936377 0.0300625810 0.0294243537 0.0288081665 0.0280814249 0.0274210300 0.0263626762 0.0253529331 0.0245873956 0.0240838495 
       7 5.7985539497 5.6738707691 5.5835882608 6.3350157624 6.1438739803 5.9541740500 5.7615401662 5.5687982623 5.3637427210 5.1629670643 4.9244268639 4.6880682961 4.4804243415 4.3103182516 0.0543995091 0.0539747214 0.0536515747 0.0315446725 0.0309476349 0.0303426313 0.0297245894 0.0291151914 0.0284259937 0.0277559478 0.0268291168 0.0259322004 0.0252445275 0.0248073456 
       8 5.5776987597 5.3706705591 5.2168359793 6.3814556054 6.1968960567 6.0119258853 5.8220497209 5.6290597505 5.4264028498 5.2210595735 4.9954880101 4.7696391935 4.5713977187 4.4156019154 0.0496648442 0.0489770001 0.0484380648 0.0318405082 0.0313002973 0.0307368030 0.0301519820 0.0295540410 0.0289274078 0.0282448782 0.0275345656 0.0268241264 0.0262646118 0.0259359792 
       9 5.5881175569 5.3821756895 5.2285464334 6.3817515960 6.1971697162 6.0122216600 5.8223792296 5.6294923579 5.4268005222 5.2215956745 4.9956125922 4.7694078465 4.5709267340 4.4147576892 0.0497896568 0.0491045659 0.0485654423 0.0318563563 0.0313159095 0.0307522399 0.0301671441 0.0295694838 0.0289412102 0.0282590211 0.0275426091 0.0268267771 0.0262639863 0.0259321625 
      10 5.6828074588 5.4695695060 5.2995952313 6.3831641641 6.1988271787 6.0143641127 5.8249976105 5.6328937115 5.4302780377 5.2260396702 4.9983092199 4.7706238427 4.5712397643 4.4135659567 0.0503891196 0.0496704032 0.0490631332 0.0319148264 0.0313739475 0.0308109643 0.0302261110 0.0296317833 0.0289976092 0.0283209793 0.0275780551 0.0268393158 0.0262632386 0.0259174265 
      11 5.7775208453 5.5452785241 5.3449283546 6.3823200697 6.1984289389 6.0145055816 5.8256102161 5.6339789021 5.4316606460 5.2280581598 5.0001889906 4.7724680618 4.5731834068 4.4155627106 0.0505374192 0.0497466124 0.0490210741 0.0318773761 0.0313359172 0.0307743181 0.0301911780 0.0295996710 0.0289665246 0.0282971311 0.0275510603 0.0268107003 0.0262342726 0.0258867805 
      12 5.5887790499 5.4366619841 5.3072980076 6.1569748184 5.9513709914 5.7465947293 5.5422814525 5.3363754918 5.1289074306 4.9234045914 4.7032067309 4.4852416940 4.2835556465 4.1247478943 0.0512314755 0.0507549373 0.0503181339 0.0280576639 0.0273188589 0.0266202751 0.0259471049 0.0252706099 0.0246263362 0.0239770141 0.0232589551 0.0225677873 0.0219608501 0.0216453463 
      13 5.5812347786 5.4125400941 5.2667560536 6.0247179770 5.8062092143 5.5885622373 5.3739007478 5.1580605188 4.9465458774 4.7383058361 4.5239905213 4.3131685234 4.1110735217 3.9539380136 0.0510283150 0.0505023255 0.0500181336 0.0255554020 0.0246971431 0.0239147460 0.0231811884 0.0224476948 0.0217981499 0.0211588668 0.0204867542 0.0198545363 0.0192504902 0.0189755031 
      14 5.6321039705 5.4059798122 5.2096700550 6.0875447395 5.8741319517 5.6611106160 5.4489622282 5.2344308229 5.0225076143 4.8120347039 4.5966627829 4.3844779346 4.1840678333 4.0303923728 0.0500049571 0.0492676827 0.0485943308 0.0263705685 0.0255605739 0.0248117265 0.0240936343 0.0233665184 0.0227139811 0.0220539343 0.0214006651 0.0207840794 0.0202096242 0.0199570953 
      15 5.7812116712 5.4257357939 5.0852200265 6.1444668326 5.9342753348 5.7235183231 5.5104738474 5.2922119710 5.0763373404 4.8587315144 4.6442574905 4.4333714328 4.2362611357 4.0912213025 0.0475196121 0.0463227604 0.0451196854 0.0265407241 0.0257612436 0.0250345082 0.0243132084 0.0235614469 0.0228948285 0.0221932575 0.0216072341 0.0210622678 0.0205547700 0.0203758901 
      16 5.9472641960 5.5323745837 5.1300918057 6.1623250976 5.9524625990 5.7417887498 5.5272836299 5.3061221776 5.0870027322 4.8651506517 4.6498577739 4.4391469168 4.2430787832 4.1023705062 0.0462973835 0.0449139119 0.0435028210 0.0263042688 0.0255241659 0.0247997017 0.0240688241 0.0232979142 0.0226129234 0.0218896165 0.0213203059 0.0208036840 0.0203246116 0.0201849047 
      17 6.4575462686 5.8708087525 5.3791609341 6.2261857720 6.0158683956 5.8041504562 5.5842439553 5.3529395198 5.1221313503 4.8854365844 4.6645210684 4.4521271326 4.2577852505 4.1295690254 0.0422490101 0.0403797505 0.0388022627 0.0255255698 0.0247306996 0.0240027886 0.0232367878 0.0223988516 0.0216432123 0.0208403225 0.0202925028 0.0198437655 0.0194427242 0.0194185016 
      18 7.5629096965 6.5971001336 5.8944637483 6.3911445764 6.1822344081 5.9703188290 5.7404361649 5.4896621365 5.2352532159 4.9675353096 4.7331967433 4.5156279976 4.3249882432 4.2236306205 0.0331693396 0.0302483662 0.0283483975 0.0242744828 0.0234704729 0.0227483609 0.0219186748 0.0209588074 0.0200682300 0.0191049364 0.0185989006 0.0182896155 0.0180595291 0.0182761194 
      19 8.8909610666 7.6188812384 6.9571646148 6.5843382480 6.3748858988 6.1609800772 5.9207433681 5.6513075344 5.3708878819 5.0719125275 4.8092889163 4.5751923007 4.3819148931 4.3025106310 0.0237841260 0.0203267282 0.0198142231 0.0228807310 0.0220450980 0.0213064020 0.0204137181 0.0193566532 0.0183182364 0.0172247287 0.0165986681 0.0163077598 0.0161929105 0.0165982730 
      20 8.6297615854 7.4885903003 6.9386746076 6.5872480369 6.3783248213 6.1647818269 5.9272633364 5.6625580107 5.3870549325 5.0943876195 4.8291624061 4.5900270771 4.3932597150 4.3077274869 0.0245146859 0.0217999444 0.0216635260 0.0233668825 0.0225488597 0.0218145678 0.0209522077 0.0199467098 0.0189626097 0.0179383776 0.0172738333 0.0169079075 0.0167418732 0.0170775709 
      21 8.7430064625 7.7214486019 7.3446785677 6.6733925607 6.4646194334 6.2500440288 6.0120727292 5.7469975446 5.4687958494 5.1737624997 4.8922942705 4.6364657909 4.4316092601 4.3457507458 0.0210313820 0.0198632988 0.0206632983 0.0233652443 0.0225633774 0.0218284811 0.0209951326 0.0200475671 0.0191130113 0.0181789230 0.0174167377 0.0169304544 0.0167226114 0.0170203708 
      22 8.7305681383 7.8835635094 7.6447166033 6.7238106620 6.5139341234 6.2972205138 6.0587769335 5.7947654524 5.5162135921 5.2217353358 4.9278841131 4.6576402196 4.4443130206 4.3558511821 0.0184359499 0.0192875459 0.0203612740 0.0231582306 0.0223649278 0.0216249088 0.0208234851 0.0199489149 0.0190849176 0.0182610327 0.0174322909 0.0168374034 0.0165736386 0.0168114450 
      23 8.7422493842 7.9301710471 7.6657137882 6.7200499830 6.5096419503 6.2921482864 6.0535216661 5.7901756612 5.5124846697 5.2190384749 4.9250647882 4.6530224022 4.4376279827 4.3485236858 0.0181943064 0.0194325193 0.0200519493 0.0228906346 0.0220979210 0.0213582290 0.0205682711 0.0197212268 0.0188900093 0.0181061205 0.0173005457 0.0167050925 0.0164297015 0.0166482026 
      24 8.7711338641 8.0010057621 7.6169593979 6.7099154178 6.4993210386 6.2810033005 6.0425366863 5.7814759042 5.5070630870 5.2164991680 4.9259744453 4.6521440407 4.4328239033 4.3429641810 0.0180106591 0.0195706942 0.0188660447 0.0223272254 0.0215473337 0.0208190605 0.0200622494 0.0192885270 0.0185505451 0.0178634699 0.0171653340 0.0166080296 0.0163189961 0.0164939368 
      25 8.7400588287 8.0033686840 7.6266842463 6.7155442540 6.5050320625 6.2865811433 6.0487949478 5.7889840074 5.5159923759 5.2267901609 4.9358475989 4.6599638662 4.4385463883 4.3472141374 0.0180712280 0.0196826675 0.0189079466 0.0223120288 0.0215404566 0.0208168895 0.0200785916 0.0193341933 0.0186311496 0.0179811584 0.0173028365 0.0167434556 0.0164429080 0.0165902433 
      26 8.7326872904 8.1058948854 7.7487582760 6.7503721361 6.5395770470 6.3198693725 6.0839256729 5.8279147215 5.5591765386 5.2733337139 4.9794669168 4.6938965234 4.4623841641 4.3658568508 0.0180615346 0.0193643238 0.0183770936 0.0219758204 0.0212358511 0.0205325841 0.0198751588 0.0192586039 0.0187075985 0.0182166880 0.0176427693 0.0171001740 0.0167629409 0.0167974761 
      27 8.7358665147 8.3319055672 8.0364308407 6.8275197625 6.6146551586 6.3910471846 6.1572215559 5.9071310109 5.6453616945 5.3645226424 5.0636475041 4.7575177378 4.5041219403 4.3968802367 0.0180647021 0.0182966412 0.0171598005 0.0211046484 0.0204206337 0.0197559837 0.0192579329 0.0188961666 0.0186518382 0.0184821364 0.0181313929 0.0176412248 0.0172380980 0.0170458541 
      28 8.6975119079 8.3960413132 8.1539553341 6.8656006901 6.6503357817 6.4239342849 6.1891850634 5.9394584410 5.6791786980 5.3993082028 5.0950008706 4.7799149963 4.5164502762 4.4040611378 0.0182885822 0.0177335466 0.0168142021 0.0207158327 0.0200458274 0.0193952420 0.0189488870 0.0186726258 0.0185447839 0.0185014134 0.0182505701 0.0177968807 0.0173745013 0.0170914296 
      29 8.6279772913 8.3890378903 8.1861475640 6.8908707331 6.6721878276 6.4428399012 6.2042977500 5.9508311709 5.6886034609 5.4073655936 5.1011214436 4.7818946837 4.5129723448 4.3976700936 0.0186174832 0.0174861180 0.0167522753 0.0205089429 0.0198297748 0.0191832024 0.0187256126 0.0184418288 0.0183371253 0.0183321222 0.0181363924 0.0177235633 0.0173097411 0.0170011702 
      30 8.5456666722 8.3702688831 8.1921407370 6.9239004054 6.7000180887 6.4666476028 6.2202824058 5.9576543057 5.6890721342 5.4034396249 5.0947136926 4.7727100810 4.4994667337 4.3819900086 0.0189932406 0.0174912298 0.0166879551 0.0203739755 0.0196704819 0.0190259858 0.0185016341 0.0181269729 0.0179712605 0.0179473623 0.0177912844 0.0174414565 0.0170669797 0.0167774081 
      31 8.4592066756 8.4212884007 8.2842048156 7.0164955783 6.7834372030 6.5426507591 6.2807460321 5.9983994165 5.7143662012 5.4172943414 5.1002787857 4.7702473402 4.4873118319 4.3657088127 0.0193981893 0.0173990694 0.0162180879 0.0201961871 0.0194688095 0.0188430456 0.0181986386 0.0176372217 0.0173549157 0.0172751891 0.0171874835 0.0169712563 0.0166933009 0.0164503551 
      32 8.4061369363 8.4724558486 8.3688730082 7.0901725544 6.8525889617 6.6077011054 6.3376209785 6.0441821589 5.7501826012 5.4447300650 5.1204150193 4.7830882511 4.4924579568 4.3675178855 0.0196892751 0.0173278501 0.0159216147 0.0201376404 0.0194245692 0.0188273507 0.0181486679 0.0175123797 0.0171668168 0.0170533440 0.0170103922 0.0168835483 0.0166722771 0.0164501358 
      33 8.4932710782 8.8517407210 8.8474400385 7.2410657316 6.9846502054 6.7231929649 6.4279116999 6.1072059993 5.7938700259 5.4753850570 5.1344815836 4.7728202649 4.4550752695 4.3218672326 0.0184281943 0.0152444409 0.0133131081 0.0184591755 0.0176613425 0.0170577706 0.0162313458 0.0154370937 0.0150832271 0.0151180939 0.0152812780 0.0153269807 0.0151740050 0.0149024876 
      34 8.7091175342 8.8604509067 8.7972724499 7.1328565835 6.8816740135 6.6240480741 6.3384209145 6.0309295187 5.7214467942 5.4033500339 5.0680692040 4.7189942992 4.4155708151 4.2923816927 0.0176479610 0.0151858216 0.0136983549 0.0182248496 0.0174058088 0.0167481592 0.0159676070 0.0152712260 0.0148352324 0.0147081075 0.0146980036 0.0146225111 0.0144292848 0.0142598788 
      35 8.7675574826 8.9179686216 8.8536784111 7.1563812278 6.9072516519 6.6484667772 6.3645081852 6.0569502057 5.7426494599 5.4148942604 5.0721180396 4.7201773074 4.4159039561 4.2958303950 0.0174207661 0.0149824874 0.0135769170 0.0180331549 0.0172847591 0.0166389523 0.0159391777 0.0153035603 0.0148352385 0.0145816057 0.0144951720 0.0144354708 0.0142947154 0.0142087168 
      36 8.7263359382 8.9284983741 8.8598326991 7.2092918414 6.9621971377 6.6990593906 6.4154076740 6.1054021397 5.7832114247 5.4409958885 5.0833282225 4.7234463484 4.4142548782 4.2986338224 0.0176079861 0.0149538377 0.0135660495 0.0175737624 0.0169686011 0.0163503716 0.0157921737 0.0152675678 0.0147986466 0.0144160154 0.0142207365 0.0142130760 0.0141828004 0.0142439592 
      37 8.6086682165 8.9182957542 8.8387263173 7.3208359470 7.0713526291 6.8001807531 6.5132290767 6.1965638509 5.8614366469 5.4976837192 5.1142468234 4.7370565092 4.4171208862 4.3084464610 0.0180454571 0.0149540635 0.0135612735 0.0168537176 0.0164002013 0.0158464380 0.0154841387 0.0151360864 0.0147175840 0.0142320950 0.0139132338 0.0139736030 0.0141245795 0.0144092406 
      38 8.4758236905 8.9103052800 8.8023156839 7.4990610424 7.2374937824 6.9542433664 6.6578860819 6.3296778803 5.9769470513 5.5866137883 5.1689352127 4.7643810828 4.4283788620 4.3295292999 0.0185555281 0.0149404306 0.0135799981 0.0160572663 0.0156315539 0.0151612521 0.0149848468 0.0148593923 0.0145567922 0.0140692580 0.0137156542 0.0138003002 0.0141357042 0.0146765107 
      39 8.5551043881 8.9491935806 8.7291238074 7.7165962008 7.4352279826 7.1374942326 6.8268057914 6.4877061006 6.1155695991 5.6962478730 5.2356069037 4.7975721274 4.4478498264 4.3701844286 0.0181577816 0.0147593387 0.0136895895 0.0152232484 0.0146655241 0.0142644533 0.0142070926 0.0143945068 0.0143096553 0.0140097462 0.0137396585 0.0136905664 0.0140601535 0.0148814664 
      40 8.8068178591 8.9533908316 8.6058159866 7.8402798228 7.5445654015 7.2380179578 6.9105015324 6.5618626328 6.1778347570 5.7453677399 5.2613042304 4.8077432367 4.4584951760 4.4010748234 0.0170710028 0.0147243720 0.0140293540 0.0150075502 0.0143180890 0.0139360440 0.0137324612 0.0139770079 0.0140275096 0.0140132306 0.0139177055 0.0137316102 0.0139027280 0.0147955302 
      41 8.9265463041 8.9373645018 8.5635516921 7.8604247211 7.5635167780 7.2541511968 6.9182484407 6.5623625406 6.1749450384 5.7423469530 5.2571138573 4.8047614050 4.4586603498 4.4038567217 0.0166575774 0.0147884253 0.0142086225 0.0149980947 0.0143692390 0.0140050577 0.0137256987 0.0137872045 0.0138350104 0.0139453690 0.0139795261 0.0138342508 0.0138627404 0.0145804396 
      42 8.8835426194 8.9196558440 8.5921125367 7.8706032295 7.5790070250 7.2665196869 6.9262992607 6.5626431944 6.1726519910 5.7399355898 5.2569626937 4.8070324983 4.4585611601 4.3951319971 0.0168271595 0.0148496059 0.0141277141 0.0147375713 0.0143455728 0.0140351718 0.0138266204 0.0137184450 0.0137252985 0.0138211498 0.0139183327 0.0139481763 0.0139604904 0.0143905438 
      43 8.8902723325 8.9101325467 8.6030321753 7.9014756752 7.6104688212 7.2938002718 6.9486997871 6.5784426657 6.1844746480 5.7485037207 5.2631080886 4.8129010811 4.4632867700 4.3954316625 0.0167855248 0.0148743706 0.0140837932 0.0145216064 0.0142635344 0.0140119577 0.0138821437 0.0137318183 0.0137283796 0.0138007484 0.0139241837 0.0140525856 0.0140641501 0.0142666512 
      44 8.8965546704 8.9045850874 8.6270484867 7.9450006776 7.6481066063 7.3252997743 6.9731868617 6.5955370611 6.1966306359 5.7573653090 5.2698299663 4.8189864166 4.4684169189 4.3951437168 0.0167588022 0.0148866505 0.0140019293 0.0143964135 0.0141413201 0.0139505595 0.0138825044 0.0137767468 0.0137680724 0.0138049579 0.0139319716 0.0141121489 0.0141445074 0.0141190873 
      45 8.8968352670 8.8932544182 8.6570736595 7.9659273831 7.6604194056 7.3310480567 6.9719779468 6.5888542159 6.1873142113 5.7490447867 5.2651309999 4.8173620717 4.4681174483 4.3879903526 0.0167632118 0.0149307119 0.0139152698 0.0143871560 0.0140597775 0.0139077256 0.0138587855 0.0138284337 0.0138115969 0.0138179104 0.0139215192 0.0140998033 0.0141526552 0.0139324834 
      46 8.8960032301 8.8835817626 8.6676961444 7.9661125986 7.6551249316 7.3211983856 6.9581652053 6.5733499997 6.1718759213 5.7365438580 5.2572711716 4.8125742015 4.4654200242 4.3833376655 0.0167751670 0.0149707466 0.0138887555 0.0144279349 0.0140584197 0.0138987761 0.0138248665 0.0138349909 0.0138286026 0.0138474893 0.0139274159 0.0140532700 0.0141137475 0.0139068644 
      47 8.9000788287 8.8658423535 8.6967419423 7.9877832526 7.6664369296 7.3187010062 6.9436100416 6.5509572446 6.1471775802 5.7160536050 5.2449195176 4.8058451102 4.4625571066 4.3782098572 0.0167703256 0.0150411440 0.0138145115 0.0143596703 0.0140520371 0.0138907777 0.0137999411 0.0138213155 0.0138411900 0.0138947329 0.0139442340 0.0139924377 0.0140704984 0.0139530431 
      48 8.9043348357 8.8389277281 8.7233363780 8.0262638112 7.6920389458 7.3254948672 6.9340908093 6.5294987637 6.1213483505 5.6938231887 5.2316864559 4.7995253153 4.4609057646 4.3750088151 0.0167597601 0.0151382693 0.0137513455 0.0141972230 0.0140266709 0.0138945149 0.0138276343 0.0138279725 0.0138686331 0.0139458333 0.0139738809 0.0139671495 0.0140637709 0.0140662516 
      49 8.9063410772 8.8249401719 8.7293884596 8.0554230271 7.7118488518 7.3342271197 6.9331080370 6.5211115859 6.1096261420 5.6832057259 5.2255313154 4.7970582717 4.4608339193 4.3753155910 0.0167532132 0.0151876483 0.0137411585 0.0141090174 0.0139877315 0.0138932677 0.0138543271 0.0138446062 0.0138848867 0.0139617615 0.0139946745 0.0139770847 0.0140734535 0.0141587779 
      50 8.9071243020 8.8264952385 8.7284556332 8.0742113614 7.7232096686 7.3389395955 6.9323460063 6.5160689967 6.1022578796 5.6762344181 5.2217706751 4.7960974204 4.4609447159 4.3764604257 0.0167497268 0.0151822555 0.0137442902 0.0140777537 0.0139521654 0.0138930262 0.0138802826 0.0138652070 0.0138826306 0.0139360513 0.0139977143 0.0140116639 0.0140841630 0.0142129503 
      51 8.9068164130 8.8383732736 8.7244204582 8.0886393417 7.7261780897 7.3330555006 6.9203338113 6.5001287985 6.0844429096 5.6604937537 5.2127918928 4.7927807283 4.4595386210 4.3760231603 0.0167552112 0.0151458154 0.0137593417 0.0140639033 0.0139061715 0.0138873904 0.0139044408 0.0139077371 0.0138903713 0.0138979218 0.0139966179 0.0140661008 0.0140886789 0.0142424580 
      52 8.9055284440 8.8506180844 8.7166647831 8.0978247169 7.7241997957 7.3221599882 6.9035671929 6.4801369782 6.0634785735 5.6425754744 5.2021780699 4.7882764763 4.4575007884 4.3743696990 0.0167653293 0.0151083264 0.0137811306 0.0140461966 0.0138851721 0.0138892906 0.0139176348 0.0139451757 0.0139151522 0.0138947002 0.0140025355 0.0141092568 0.0140919615 0.0142383025 
      53 8.9037450576 8.8624797325 8.7077053082 8.1192321079 7.7342182664 7.3213618451 6.8948032684 6.4661847266 6.0475717546 5.6288670217 5.1936287868 4.7843821766 4.4561708835 4.3730623156 0.0167772485 0.0150711390 0.0138033179 0.0139838454 0.0138941186 0.0138970368 0.0139116316 0.0139495323 0.0139437340 0.0139326200 0.0140056754 0.0141160672 0.0140957415 0.0141934742 
      54 8.9015620432 8.8734376671 8.6990438744 8.1348739396 7.7439438115 7.3258590491 6.8957785506 6.4645232115 6.0446009885 5.6260332713 5.1914635055 4.7831709334 4.4561532478 4.3735444439 0.0167871286 0.0150343817 0.0138276578 0.0139414249 0.0139063174 0.0139012289 0.0139075294 0.0139506086 0.0139727275 0.0139772708 0.0140054800 0.0140945277 0.0141004526 0.0141514923 
      55 8.9013044402 8.8753118901 8.6970198945 8.1408905656 7.7488665276 7.3296752092 6.8989786782 6.4668795914 6.0464324220 5.6275321492 5.1923283266 4.7834021445 4.4566227637 4.3743850184 0.0167874938 0.0150271012 0.0138330166 0.0139272674 0.0139095736 0.0139023305 0.0139126204 0.0139488831 0.0139802818 0.0139973041 0.0140136744 0.0140805892 0.0141046724 0.0141459648 
      56 8.9780729366 8.9617649463 8.8096891527 8.1771950507 7.7625989228 7.3152359883 6.8557462557 6.4118744170 5.9834483595 5.5663902923 5.1491419220 4.7630020082 4.4356096344 4.3448614556 0.0164138591 0.0146382906 0.0133501524 0.0133925552 0.0134984211 0.0134670052 0.0133030631 0.0135799943 0.0136060899 0.0134300907 0.0133652003 0.0138586894 0.0136101490 0.0136712809 
      57 8.9816580256 8.9779368151 8.7974530237 8.1831091816 7.7645748796 7.3197284133 6.8689123444 6.4233650798 5.9925872160 5.5733195677 5.1491712008 4.7512347093 4.4270669156 4.3417719033 0.0164215336 0.0146007325 0.0133803934 0.0134147260 0.0134198461 0.0134046159 0.0133928315 0.0134445982 0.0134758921 0.0134613966 0.0133973775 0.0133581728 0.0133973794 0.0134430207 
      58 8.9808363310 8.9775017110 8.7963246195 8.1787095439 7.7588490619 7.3147510191 6.8642415754 6.4181162870 5.9878967166 5.5700767937 5.1476908335 4.7508251318 4.4265567219 4.3415094553 0.0164242637 0.0146038480 0.0133808287 0.0134192561 0.0133994166 0.0134159469 0.0134233832 0.0134396838 0.0134430955 0.0134293869 0.0134241205 0.0134660528 0.0134401157 0.0134638889 
      59 8.9807191413 8.9777442430 8.7967165988 8.1812129339 7.7587627981 7.3141710207 6.8640859229 6.4174644208 5.9870286066 5.5689687587 5.1458245436 4.7480700838 4.4246120312 4.3408854702 0.0164261975 0.0146042625 0.0133804432 0.0134206342 0.0134007753 0.0134143107 0.0134321737 0.0134397287 0.0134465855 0.0134449543 0.0134328594 0.0134369414 0.0134359522 0.0134634185 
      60 8.9808491985 8.9777662422 8.7977247154 8.1855257722 7.7558706184 7.3127737831 6.8652941357 6.4185593051 5.9879371905 5.5677174031 5.1401326323 4.7393089367 4.4170285132 4.3384501735 0.0164294808 0.0146072585 0.0133802128 0.0134180368 0.0134049817 0.0134117026 0.0134295678 0.0134367098 0.0134435294 0.0134483859 0.0134348655 0.0134362339 0.0134483216 0.0134683290 
      61 8.9809738118 8.9776645968 8.7993177172 8.1917789966 7.7507335222 7.3110633232 6.8684112106 6.4220187620 5.9912385388 5.5669215699 5.1310656973 4.7239590637 4.4034680735 4.3344646714 0.0164352928 0.0146125393 0.0133797457 0.0134097720 0.0134145276 0.0134151495 0.0134233477 0.0134298714 0.0134369713 0.0134485047 0.0134428665 0.0134396577 0.0134639608 0.0134760272 
      62 8.9809484050 8.9777121547 8.8001126092 8.1932055101 7.7479715090 7.3104957936 6.8703648107 6.4246641311 5.9940527203 5.5677140916 5.1276293328 4.7166951405 4.3966374694 4.3328879198 0.0164379842 0.0146143386 0.0133791832 0.0134055035 0.0134207272 0.0134201688 0.0134195552 0.0134265519 0.0134340067 0.0134460591 0.0134526651 0.0134499476 0.0134675797 0.0134792767 
      63 8.9808575375 8.9777341494 8.8001196434 8.1921777360 7.7477775491 7.3104099237 6.8702583364 6.4249281713 5.9945103821 5.5681812923 5.1277811518 4.7157330296 4.3953925357 4.3330152285 0.0164385841 0.0146144354 0.0133791155 0.0134049154 0.0134214882 0.0134215754 0.0134198017 0.0134270077 0.0134345816 0.0134450490 0.0134565992 0.0134545303 0.0134617865 0.0134785733 
      64 8.9808112693 8.9777620926 8.8001380220 8.1914688085 7.7487661305 7.3107717376 6.8698389286 6.4246814984 5.9944206200 5.5685428737 5.1283642776 4.7151502241 4.3944319186 4.3335066374 0.0164388865 0.0146144129 0.0133790305 0.0134056138 0.0134200593 0.0134206414 0.0134208548 0.0134275723 0.0134350104 0.0134451422 0.0134572320 0.0134579214 0.0134583187 0.0134775858 
      65 8.9808094736 8.9777776193 8.8002814741 8.1906593053 7.7507152179 7.3114651268 6.8690393783 6.4240992853 5.9940806856 5.5689943764 5.1290701441 4.7135008572 4.3922329970 4.3343450932 0.0164393957 0.0146147570 0.0133789848 0.0134077875 0.0134167459 0.0134187503 0.0134224369 0.0134284701 0.0134352935 0.0134448083 0.0134551190 0.0134607298 0.0134594299 0.0134763812 
      66 8.9808304035 8.9777957886 8.8003675229 8.1895998964 7.7525408471 7.3120674063 6.8681401761 6.4234725486 5.9937286680 5.5694634082 5.1298426800 4.7117907338 4.3899480659 4.3352658478 0.0164397740 0.0146150700 0.0133790532 0.0134101138 0.0134135443 0.0134177639 0.0134237643 0.0134293628 0.0134356853 0.0134438497 0.0134527617 0.0134616707 0.0134640785 0.0134751740 
      67 8.9808427427 8.9778072747 8.8003517673 8.1891088396 7.7529724979 7.3121961766 6.8678572648 6.4233031945 5.9936575677 5.5696545865 5.1301922004 4.7113678441 4.3892894017 4.3356267874 0.0164397775 0.0146150783 0.0133791166 0.0134107008 0.0134127998 0.0134179424 0.0134240074 0.0134295862 0.0134358441 0.0134432481 0.0134523170 0.0134612143 0.0134669998 0.0134747801 
      68 8.9963070632 8.9962677275 8.8138195292 8.1955442687 7.7531779784 7.3085860133 6.8616253854 6.4157066943 5.9846010547 5.5591003241 5.1167612317 4.6928148902 4.3715219771 4.3271867337 0.0163758528 0.0145446850 0.0133078365 0.0133160764 0.0133215702 0.0133267985 0.0133265661 0.0133258155 0.0133245618 0.0133232306 0.0133344187 0.0133469417 0.0133418054 0.0133253253 
      69 8.9961901292 8.9956209406 8.8109351734 8.1953469639 7.7542919670 7.3094822504 6.8620606141 6.4159373033 5.9846552761 5.5587743213 5.1153220098 4.6888086494 4.3669098850 4.3258754111 0.0163794229 0.0145497752 0.0133142651 0.0133196728 0.0133232130 0.0133263656 0.0133273810 0.0133256334 0.0133256640 0.0133263516 0.0133300434 0.0133344476 0.0133305128 0.0133293556 
      70 8.9961824128 8.9956433074 8.8110079869 8.1946399293 7.7546205276 7.3104231575 6.8629182855 6.4158889325 5.9841487566 5.5579721040 5.1150920965 4.6892820782 4.3657506042 4.3233456722 0.0163800793 0.0145501659 0.0133142728 0.0133205159 0.0133227635 0.0133246144 0.0133256047 0.0133256313 0.0133263047 0.0133277073 0.0133308019 0.0133351808 0.0133308131 0.0133303405 
      71 8.9961890718 8.9956957402 8.8110894951 8.1938366306 7.7547721336 7.3113680339 6.8638932793 6.4157807156 5.9834730428 5.5569106112 5.1149660400 4.6905204882 4.3646891235 4.3197427567 0.0163806845 0.0145504572 0.0133143591 0.0133217387 0.0133225797 0.0133229551 0.0133238796 0.0133258559 0.0133274101 0.0133292340 0.0133315075 0.0133335090 0.0133326412 0.0133325241 
      72 8.9961957070 8.9957121077 8.8110762506 8.1936898902 7.7548614713 7.3115166818 6.8639990207 6.4157558205 5.9833796499 5.5568031210 5.1151812332 4.6910966735 4.3643316077 4.3186623007 0.0163807483 0.0145504585 0.0133144074 0.0133220606 0.0133224242 0.0133228139 0.0133238450 0.0133259259 0.0133276935 0.0133295039 0.0133313459 0.0133329912 0.0133335537 0.0133341993 
      73 8.9962006440 8.9957077573 8.8110701409 8.1938883108 7.7548737145 7.3112893162 6.8637276865 6.4157557854 5.9835145936 5.5570467720 5.1154952195 4.6914030978 4.3639785389 4.3182340063 0.0163807539 0.0145504846 0.0133144197 0.0133217403 0.0133223902 0.0133231890 0.0133242925 0.0133259096 0.0133274892 0.0133291137 0.0133308086 0.0133326553 0.0133338830 0.0133349011 
      74 8.9962034114 8.9957029970 8.8110692314 8.1940518697 7.7548703678 7.3111183975 6.8635348774 6.4157608933 5.9836219062 5.5572314419 5.1156847880 4.6915518349 4.3637518276 4.3180663271 0.0163807527 0.0145505036 0.0133144206 0.0133214925 0.0133224030 0.0133234693 0.0133246282 0.0133259182 0.0133273082 0.0133288193 0.0133305160 0.0133324667 0.0133340418 0.0133351364 
      75 8.9992479497 8.9991702658 8.8126569448 8.1949369036 7.7553355395 7.3110388742 6.8628194870 6.4144152149 5.9817395197 5.5547951597 5.1127006312 4.6873329055 4.3579529659 4.3139929910 0.0163694674 0.0145384040 0.0133026229 0.0133041678 0.0133044692 0.0133046165 0.0133048466 0.0133052592 0.0133054596 0.0133059119 0.0133059811 0.0133064604 0.0133068268 0.0133073228 
      76 8.9992425448 8.9991464429 8.8125783652 8.1949378057 7.7553894374 7.3110346788 6.8626638691 6.4144830678 5.9814693682 5.5547714908 5.1126214388 4.6872456941 4.3578512008 4.3138065959 0.0163695939 0.0145386141 0.0133028282 0.0133042622 0.0133044810 0.0133046962 0.0133048527 0.0133053565 0.0133053024 0.0133058443 0.0133060729 0.0133064539 0.0133068746 0.0133069867 
      77 8.9992424273 8.9991466988 8.8125780864 8.1949346017 7.7553963861 7.3110394943 6.8626243401 6.4145721674 5.9813820315 5.5548128885 5.1126022588 4.6872238745 4.3578911702 4.3137782456 0.0163695953 0.0145386140 0.0133028285 0.0133042676 0.0133044712 0.0133046909 0.0133049174 0.0133052017 0.0133054289 0.0133057756 0.0133061111 0.0133064755 0.0133068487 0.0133070267 
      78 8.9992424581 8.9991467162 8.8125779656 8.1949338922 7.7553964034 7.3110395281 6.8626200618 6.4145840597 5.9813708560 5.5548218120 5.1126013121 4.6872180532 4.3578994871 4.3137726156 0.0163695949 0.0145386137 0.0133028285 0.0133042678 0.0133044707 0.0133046905 0.0133049272 0.0133051832 0.0133054574 0.0133057618 0.0133061112 0.0133064826 0.0133068428 0.0133070348 
      79 8.9998488898 8.9998305567 8.8128541116 8.1951001826 7.7554965490 7.3110310769 6.8624823515 6.4143456271 5.9809844355 5.5543432883 5.1119867690 4.6863183002 4.3567182238 4.3128886186 0.0163673761 0.0145362620 0.0133005548 0.0133008454 0.0133008998 0.0133009333 0.0133009718 0.0133010534 0.0133010970 0.0133011441 0.0133012120 0.0133012999 0.0133013735 0.0133014076 
      80 8.9998485340 8.9998295603 8.8128482073 8.1950967514 7.7555010140 7.3110300052 6.8624869394 6.4143578204 5.9809988490 5.5543384991 5.1119806712 4.6863153270 4.3567154431 4.3128810834 0.0163673806 0.0145362672 0.0133005637 0.0133008524 0.0133008950 0.0133009371 0.0133009845 0.0133010381 0.0133010932 0.0133011509 0.0133012217 0.0133012975 0.0133013691 0.0133014077 
      81 8.9998485327 8.9998295640 8.8128482134 8.1950964853 7.7555017463 7.3110294632 6.8624865254 6.4143583767 5.9809996358 5.5543377509 5.1119803116 4.6863151616 4.3567160305 4.3128806928 0.0163673806 0.0145362672 0.0133005637 0.0133008527 0.0133008939 0.0133009380 0.0133009853 0.0133010371 0.0133010920 0.0133011521 0.0133012223 0.0133012977 0.0133013688 0.0133014082 
