betaF xi lowbound highbound 0.1 0.1597605406 0.07616740563 0.2433536756 0.1661968782 0.07173439037 0.2606593659 0.6132651385 -0.76780595 1.994336227 0.5 0.1447936777 0.1197875514 0.1697998041 0.1591759161 0.1561934838 0.1621583484 0.1558667177 0.1467114142 0.1650220212 1 0.1877955979 0.1877450535 0.1878461423 0.1874570902 0.1867458917 0.1881682888 0.1878619804 0.1877318235 0.1879921374 2 0.2302717644 0.2302162832 0.2303272457 0.2295789235 0.2282986688 0.2308591781 0.2303421828 0.2302680875 0.2304162781 3 0.2685583815 0.2680803148 0.2690364482 0.2682505962 0.268175115 0.2683260773 0.268466595 0.2681566579 0.268776532 4 0.3035767623 0.3035503719 0.3036031526 0.3035893706 0.3035864978 0.3035922433 0.3032845127 0.3027613871 0.3038076383 5 0.3352023227 0.335111136 0.3352935093 0.3352515649 0.3352441073 0.3352590226 0.3345427443 0.333334934 0.3357505546 6 0.3610513945 0.360791951 0.3613108381 0.3612090728 0.3612053292 0.3612128164 0.3568548757 0.3496645681 0.3640451834 7 0.3793731729 0.3791074848 0.3796388609 0.3792143241 0.3792083712 0.3792202771 0.3793302203 0.3791240601 0.3795363805 8 0.3880491846 0.3877118466 0.3883865226 0.3878450334 0.3878080896 0.3878819772 0.3884222517 0.3874637944 0.3893807091 9 0.3871134416 0.3868931444 0.3873337388 0.3871646424 0.3870309529 0.3872983318 0.3868927785 0.3862575591 0.387527998 10 0.3790460246 0.378674148 0.3794179012 0.3787125381 0.3776836335 0.3797414427 0.3781006147 0.3761245747 0.3800766546 11 0.366579274 0.3652791241 0.367879424 0.362129348 0.3546430448 0.3696156511 0.3676570706 0.3664956913 0.3688184499 12 0.3531743985 0.3452328561 0.3611159409 0.317991678 0.2817904543 0.3541929017 0.354377864 0.3499701976 0.3587855303 13 0.3340232846 0.3045109081 0.3635356611 0.2077066149 0.1268491566 0.2885640731 0.3449716306 0.3314696232 0.3584736381 14 0.2847146142 0.1828156846 0.3866135438 0.2376430153 0.152398564 0.3228874666 0.3320189915 0.2677989004 0.3962390827 15 0.3548230925 0.2710862052 0.4385599797 0.3437750334 0.2946021996 0.3929478673 0.3883144396 0.3445022327 0.4321266466 16 0.3460853162 0.250595542 0.4415750905 0.3694638553 0.3407399731 0.3981877374 0.4119477641 0.3729098599 0.4509856684 17 0.3965065139 0.3298015739 0.4632114539 0.3815296712 0.3511107924 0.4119485501 0.4146529266 0.375968246 0.4533376071 18 0.4048091494 0.3433049418 0.4663133569 0.3818945061 0.3310523582 0.4327366539 0.4278972141 0.3809536718 0.4748407564 19 0.3347615482 0.1318608264 0.5376622701 0.4056700323 0.366127406 0.4452126585 0.4402735198 0.3936472125 0.4868998271 20 0.4369717193 0.3641873524 0.5097560861 0.417546691 0.3834255485 0.4516678335 0.4546197599 0.3926803524 0.5165591673 21 0.4613902002 0.406845459 0.5159349415 0.4204099276 0.3649459204 0.4758739348 0.4845033682 0.4108595939 0.5581471425 22 0.4455520854 0.3911042243 0.4999999464 0.4430722555 0.4056695047 0.4804750064 0.4691670958 0.4022050895 0.5361291021 23 0.4741460078 0.4026732005 0.5456188151 0.4485477606 0.4034162403 0.4936792808 0.4618740222 0.3681805953 0.5555674491 24 0.486464064 0.3894442951 0.5834838329 0.4516670019 0.3665201268 0.5368138771 0.4770422339 0.4240404975 0.5300439702 25 0.5078170115 0.4484403462 0.5671936768 0.4692524165 0.4275126972 0.5109921359 0.45762384 0.3951669885 0.5200806915 26 0.514665077 0.4684133584 0.5609167955 0.4643113379 0.4228754304 0.5057472453 0.5029742841 0.4287468053 0.5772017629 27 0.5116220507 0.4190641855 0.6041799159 0.4727274962 0.4441410892 0.5013139031 0.518378311 0.4479501876 0.5888064344 28 0.5310242647 0.4704641388 0.5915843905 0.4724578385 0.4442121506 0.5007035264 0.5344105595 0.4960830561 0.5727380628 29 0.5349446759 0.47853664 0.5913527119 0.4497170288 0.4020669762 0.4973670814 0.5305832408 0.4608696154 0.6002968661 30 0.511536112 0.4143413037 0.6087309203 0.4834777722 0.4435817367 0.5233738077 0.5376736933 0.478123738 0.5972236486 31 0.5317418059 0.479318424 0.5841651879 0.5065696105 0.4619953164 0.5511439045 0.5484785901 0.5035141877 0.5934429926 32 0.5148874018 0.4479857453 0.5817890582 0.5200310385 0.4749667308 0.5650953462 0.5359147524 0.4519256584 0.6199038463 33 0.4790736522 0.4005916222 0.5575556823 0.5285155447 0.4740252939 0.5830057955 0.5294717265 0.4055476353 0.6533958177 34 0.5035436935 0.4405423533 0.5665450337 0.5129200944 0.429230763 0.5966094257 0.6247668955 0.5853108007 0.6642229902 35 0.5722782653 0.53179786 0.6127586705 0.5176783943 0.465016281 0.5703405077 0.6303803179 0.5324965393 0.7282640965 36 0.5983897552 0.5677159385 0.6290635718 0.4776367025 0.4310881161 0.5241852889 0.5906830911 0.5095668329 0.6717993494 37 0.5881903752 0.5719330249 0.6044477255 0.5388625966 0.5053783215 0.5723468717 0.5058363952 0.4772480454 0.5344247451 38 0.6205303366 0.6131327367 0.6279279365 0.5938646472 0.5793637757 0.6083655187 0.5798627828 0.5644694646 0.5952561009 39 0.6541419687 0.645612897 0.6626710405 0.6474827601 0.6382777124 0.6566878077 0.639248185 0.6335095211 0.6449868488 40 0.6873369141 0.6850804698 0.6895933584 0.6801821285 0.6757730346 0.6845912223 0.6807314347 0.6778072827 0.6836555867 41 0.7075162428 0.6915057593 0.7235267263 0.7114459137 0.7063032239 0.7165886036 0.7081951335 0.6986306765 0.7177595904 42 0.7460758613 0.7305344334 0.7616172892 0.7419011309 0.7361358512 0.7476664107 0.7268889334 0.6982595783 0.7555182885 43 0.7727145362 0.7517420422 0.7936870302 0.7673854008 0.7612432248 0.7735275767 0.7623774446 0.7586269752 0.7661279141 44 0.7968932663 0.7745600832 0.8192264495 0.7810063759 0.7631735835 0.7988391683 0.7756003984 0.7440745973 0.8071261996 45 0.8228707219 0.8099281746 0.8358132693 0.8081062535 0.8002642003 0.8159483066 0.8136335054 0.8100338593 0.8172331516 46 0.8434557093 0.8295890151 0.8573224036 0.8306390351 0.8231099645 0.8381681057 0.8361718506 0.8322574885 0.8400862128 47 0.842487645 0.8082072893 0.8767680007 0.8540686384 0.8506804464 0.8574568305 0.8515014214 0.8446854897 0.8583173532 48 0.8663520833 0.8378072645 0.8948969021 0.8759861183 0.8737445146 0.8782277221 0.8750242773 0.8712630724 0.8787854822 49 0.912544498 0.9024135036 0.9226754925 0.8971612491 0.8950370956 0.8992854025 0.8827241051 0.8421110341 0.9233371761 50 0.9319471688 0.9227008892 0.9411934484 0.9180271952 0.9157306987 0.9203236916 0.9208644979 0.9172695977 0.9244593982