Optimal 4-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.125534208080981 & \mu_{22} = 0.125534208080983 \\ \mu_{32} = 0.350653119567098 & \mu_{33} = 0.048181647388277 \\ \mu_{41} = 0.097766579224131 & \mu_{42} = 0.000000005345013 \\ \mu_{43} = 0.404181556145118 & \mu_{44} = 0.133639210602434 \\ \mu_{51} = 0.022869941925234 & \mu_{52} = 0.138100556728488 \\ \mu_{53} = 0.157510964003014 & \mu_{54} = 0.277310825799681 \\ \lambda_{21} = 0.143502249669229 & \lambda_{32} = 0.400843023432714 \\ \lambda_{41} = 0.111760167014216 & \lambda_{42} = 0.000000006110058 \\ \lambda_{43} = 0.462033126016285 & \lambda_{51} = 0.026143376902960 \\ \lambda_{52} = 0.157867252871240 & \lambda_{53} = 0.180055922824003 \\ \lambda_{54} = 0.317003054133379 \end{array} $$ Optimal 5-stage, 5th-order method: $$\begin{array}{rr} \mu(2,1) = 0.107733237609082 \\ \mu(2,2) = 0.107733237609079 & \mu(3,1) = 0.000009733684024 \\ \mu(3,2) = 0.205965878618791 & \mu(3,3) = 0.041505157180052 \\ \mu(4,1) = 0.010993335656900 & \mu(4,2) = 0.000000031322743 \\ \mu(4,3) = 0.245761367350216 & \mu(4,4) = 0.079032059834967 \\ \mu(5,1) = 0.040294985548405 & \mu(5,2) = 0.011356303341111 \\ \mu(5,3) = 0.024232322953809 & \mu(5,4) = 0.220980752503271 \\ \mu(5,5) = 0.098999612937858 & \mu(6,3) = 0.079788022937926 \\ \mu(6,4) = 0.023678103998428 & \mu(6,5) = 0.194911604040485 \\ \lambda(2,1) = 0.344663606249694 & \lambda(3,1) = 0.000031140312055 \\ \lambda(3,2) = 0.658932601159987 & \lambda(4,1) = 0.035170229692428 \\ \lambda(4,2) = 0.000000100208717 & \lambda(4,3) = 0.786247596634378 \\ \lambda(5,1) = 0.128913001605754 & \lambda(5,2) = 0.036331447472278 \\ \lambda(5,3) = 0.077524819660326 & \lambda(5,4) = 0.706968664080396 \\ \lambda(6,3) = 0.255260385110718 & \lambda(6,4) = 0.075751744720289 \\ \lambda(6,5) = 0.623567413728619 & \end{array} $$ Optimal 6-stage, 5th-order method: $$\begin{array}{rr} \mu(2,1) = 0.084842972180459 & \mu(2,2) = 0.084842972180464 \\ \mu(3,2) = 0.149945333907731 & \mu(3,3) = 0.063973483119994 \\ \mu(4,3) = 0.175767531234932 & \mu(4,4) = 0.055745328618053 \\ \mu(5,1) = 0.024709139041008 & \mu(5,4) = 0.173241563951140 \\ \mu(5,5) = 0.054767418942828 & \mu(6,2) = 0.014574431645716 \\ \mu(6,3) = 0.026804592504486 & \mu(6,5) = 0.159145416202648 \\ \mu(6,6) = 0.085074359110886 & \mu(7,3) = 0.004848530454093 \\ \mu(7,4) = 0.042600565019890 & \mu(7,6) = 0.151355691945479 \\ \lambda(2,1) = 0.422021261021445 & \lambda(3,2) = 0.745849859731775 \\ \lambda(4,3) = 0.874293218071360 & \lambda(5,1) = 0.122906844831659 \\ \lambda(5,4) = 0.861728690085026 & \lambda(6,2) = 0.072495338903420 \\ \lambda(6,3) = 0.133329934574294 & \lambda(6,5) = 0.791612404723054 \\ \lambda(7,3) = 0.024117294382203 & \lambda(7,4) = 0.211901395105308 \\ \lambda(7,6) = 0.752865185365536 & \end{array} $$ Optimal 7-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.077756487471956 & \mu_{22} = 0.077756487471823 \\ \mu_{32} = 0.126469010941083 & \mu_{33} = 0.058945597921853 \\ \mu_{43} = 0.143639250502198 & \mu_{44} = 0.044443238891736 \\ \mu_{51} = 0.011999093244164 & \mu_{54} = 0.145046006148787 \\ \mu_{55} = 0.047108760907057 & \mu_{62} = 0.011454172434127 \\ \mu_{63} = 0.027138257330487 & \mu_{65} = 0.122441492758580 \\ \mu_{66} = 0.037306165750735 & \mu_{73} = 0.020177924440034 \\ \mu_{76} = 0.140855998083160 & \mu_{77} = 0.077972159279168 \\ \mu_{84} = 0.009653207936821 & \mu_{85} = 0.025430639631870 \\ \mu_{86} = 0.000177781270869 & \mu_{87} = 0.124996366168017 \\ \lambda_{21} = 0.482857811904546 & \lambda_{32} = 0.785356333370487 \\ \lambda_{43} = 0.891981318293413 & \lambda_{51} = 0.074512829695468 \\ \lambda_{54} = 0.900717090387559 & \lambda_{62} = 0.071128941372444 \\ \lambda_{63} = 0.168525096484428 & \lambda_{65} = 0.760345962143127 \\ \lambda_{73} = 0.125302322168346 & \lambda_{76} = 0.874697677831654 \\ \lambda_{84} = 0.059945182887979 & \lambda_{85} = 0.157921009644458 \\ \lambda_{86} = 0.001103998884730 & \lambda_{87} = 0.776211398253764 \\ \end{array} $$ Optimal 8-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.068228425119547 & \mu_{22} = 0.068228425081188 \\ \mu_{32} = 0.105785458668142 & \mu_{33} = 0.049168429086829 \\ \mu_{43} = 0.119135238085849 & \mu_{44} = 0.040919294063196 \\ \mu_{51} = 0.009164078944895 & \mu_{54} = 0.120257079939301 \\ \mu_{55} = 0.039406904101415 & \mu_{62} = 0.007428674198294 \\ \mu_{63} = 0.019703233696280 & \mu_{65} = 0.105180973170163 \\ \mu_{66} = 0.045239659320409 & \mu_{73} = 0.015335646668415 \\ \mu_{76} = 0.116977452926909 & \mu_{77} = 0.050447703819928 \\ \mu_{84} = 0.011255581082016 & \mu_{85} = 0.006541409424671 \\ \mu_{87} = 0.114515518273119 & \mu_{88} = 0.060382824328534 \\ \mu_{95} = 0.002607774587593 & \mu_{96} = 0.024666705635997 \\ \mu_{98} = 0.104666894951906 & \lambda_{21} = 0.515658560550227 \\ \lambda_{32} = 0.799508082567950 & \lambda_{43} = 0.900403391614526 \\ \lambda_{51} = 0.069260513476804 & \lambda_{54} = 0.908882077064212 \\ \lambda_{62} = 0.056144626483417 & \lambda_{63} = 0.148913610539984 \\ \lambda_{65} = 0.794939486396848 & \lambda_{73} = 0.115904148048060 \\ \lambda_{76} = 0.884095226988328 & \lambda_{84} = 0.085067722561958 \\ \lambda_{85} = 0.049438833770315 & \lambda_{87} = 0.865488353423280 \\ \lambda_{95} = 0.019709106398420 & \lambda_{96} = 0.186426667470161 \\ \lambda_{98} = 0.791054172708715 & \end{array} $$ Optimal 9-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.057541273792734 & \mu_{22} = 0.057541282875429 \\ \mu_{32} = 0.089687860942851 & \mu_{33} = 0.041684970395150 \\ \mu_{43} = 0.101622955619526 & \mu_{44} = 0.040743690263377 \\ \mu_{51} = 0.009276188714858 & \mu_{54} = 0.101958242208571 \\ \mu_{55} = 0.040815264589441 & \mu_{62} = 0.011272987717036 \\ \mu_{65} = 0.101125244372555 & \mu_{66} = 0.040395338505384 \\ \mu_{73} = 0.003606182878823 & \mu_{74} = 0.018205434656765 \\ \mu_{76} = 0.090586614534056 & \mu_{77} = 0.042925976445877 \\ \mu_{84} = 0.011070977346914 & \mu_{87} = 0.101327254746568 \\ \mu_{88} = 0.046669302312152 & \mu_{95} = 0.010281040119047 \\ \mu_{98} = 0.102117191974435 & \mu_{99} = 0.050500143250113 \\ \mu_{10,6} = 0.000157554758807 & \mu_{10,7} = 0.023607648002010 \\ \mu_{10,9} = 0.088454624345414 & \lambda_{21} = 0.511941093031398 \\ \lambda_{32} = 0.797947256574797 & \lambda_{43} = 0.904133043080300 \\ \lambda_{51} = 0.082529667434119 & \lambda_{54} = 0.907116066770269 \\ \lambda_{62} = 0.100295062538531 & \lambda_{65} = 0.899704937426848 \\ \lambda_{73} = 0.032083982209117 & \lambda_{74} = 0.161972606843345 \\ \lambda_{76} = 0.805943410735452 & \lambda_{84} = 0.098497788983963 \\ \lambda_{87} = 0.901502211016037 & \lambda_{95} = 0.091469767162319 \\ \lambda_{98} = 0.908530232837680 & \lambda_{10,6} = 0.001401754777391 \\ \lambda_{10,7} = 0.210035759124536 & \lambda_{10,9} = 0.786975228149903 \\ \end{array} $$ Optimal 10-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.052445615058994 & \mu_{22} = 0.052445635165954 \\ \mu_{32} = 0.079936220395519 & \mu_{33} = 0.038724845476313 \\ \mu_{43} = 0.089893189589075 & \mu_{44} = 0.037676214671832 \\ \mu_{51} = 0.007606429497294 & \mu_{54} = 0.090180506502554 \\ \mu_{55} = 0.035536573874530 & \mu_{62} = 0.009295158915663 \\ \mu_{65} = 0.089447242753894 & \mu_{66} = 0.036490114423762 \\ \mu_{73} = 0.003271387942850 & \mu_{74} = 0.015255382390056 \\ \mu_{76} = 0.080215515252923 & \mu_{77} = 0.035768398609662 \\ \mu_{84} = 0.009638972523544 & \mu_{87} = 0.089103469454345 \\ \mu_{88} = 0.040785658461768 & \mu_{95} = 0.009201462517982 \\ \mu_{98} = 0.089540979697808 & \mu_{99} = 0.042414168555682 \\ \mu_{10,6} = 0.005634796609556 & \mu_{10,7} = 0.006560464576444 \\ \mu_{10,9} = 0.086547180546464 & \mu_{10,10} = 0.043749770437420 \\ \mu_{11,7} = 0.001872759401284 & \mu_{11,8} = 0.017616881402665 \\ \mu_{11,10} = 0.079160150775900 & \lambda_{21} = 0.531135486241871 \\ \lambda_{32} = 0.809542670828687 & \lambda_{43} = 0.910380456183399 \\ \lambda_{51} = 0.077033029836054 & \lambda_{54} = 0.913290217244921 \\ \lambda_{62} = 0.094135396158718 & \lambda_{65} = 0.905864193215084 \\ \lambda_{73} = 0.033130514796271 & \lambda_{74} = 0.154496709294644 \\ \lambda_{76} = 0.812371189661489 & \lambda_{84} = 0.097617319434729 \\ \lambda_{87} = 0.902382678155958 & \lambda_{95} = 0.093186499255038 \\ \lambda_{98} = 0.906813500744962 & \lambda_{10,6} = 0.057065598977612 \\ \lambda_{10,7} = 0.066440169285130 & \lambda_{10,9} = 0.876494226842443 \\ \lambda_{11,7} = 0.018966103726616 & \lambda_{11,8} = 0.178412453726484 \\ \lambda_{11,10} = 0.801683136446066 & \end{array} $$ Optimal 11-stage, 5th-order method: $$\begin{array}{rr} \mu_{21} = 0.048856948431570 & \mu_{22} = 0.048856861697775 \\ \mu_{32} = 0.072383163641108 & \mu_{33} = 0.035920513887793 \\ \mu_{43} = 0.080721632683704 & \mu_{44} = 0.034009594943671 \\ \mu_{51} = 0.006438090160799 & \mu_{54} = 0.081035022899306 \\ \mu_{55} = 0.032672027896742 & \mu_{62} = 0.007591099341932 \\ \mu_{63} = 0.000719846382100 & \mu_{65} = 0.079926841108108 \\ \mu_{66} = 0.033437798720082 & \mu_{73} = 0.003028997848550 \\ \mu_{74} = 0.012192534706212 & \mu_{76} = 0.073016254277378 \\ \mu_{77} = 0.033377699686911 & \mu_{84} = 0.008251011235053 \\ \mu_{87} = 0.079986775597087 & \mu_{88} = 0.035640440183022 \\ \mu_{95} = 0.008095394925904 & \mu_{98} = 0.080142391870059 \\ \mu_{99} = 0.036372965664654 & \mu_{10,6} = 0.005907318148947 \\ \mu_{10,7} = 0.005394911565057 & \mu_{10,9} = 0.076935557118137 \\ \mu_{10,10} = 0.032282094274356 & \mu_{11,7} = 0.003571080721480 \\ \mu_{11,8} = 0.008920593887617 & \mu_{11,10} = 0.075746112223043 \\ \mu_{11,11} = 0.042478561828713 & \mu_{12,8} = 0.004170617993886 \\ \mu_{12,9} = 0.011637432775226 & \mu_{12,11} = 0.072377330912325 \\ \lambda_{21} = 0.553696439876870 & \lambda_{32} = 0.820319346617409 \\ \lambda_{43} = 0.914819326070196 & \lambda_{51} = 0.072962960562995 \\ \lambda_{54} = 0.918370981510030 & \lambda_{62} = 0.086030028794504 \\ \lambda_{63} = 0.008158028526592 & \lambda_{65} = 0.905811942678904 \\ \lambda_{73} = 0.034327672500586 & \lambda_{74} = 0.138178156365216 \\ \lambda_{76} = 0.827494171134198 & \lambda_{84} = 0.093508818968334 \\ \lambda_{87} = 0.906491181031666 & \lambda_{95} = 0.091745217287743 \\ \lambda_{98} = 0.908254782302260 & \lambda_{10,6} = 0.066947714363965 \\ \lambda_{10,7} = 0.061140603801867 & \lambda_{10,9} = 0.871911681834169 \\ \lambda_{11,7} = 0.040471104837131 & \lambda_{11,8} = 0.101097207986272 \\ \lambda_{11,10} = 0.858431687176596 & \lambda_{12,8} = 0.047265668639449 \\ \lambda_{12,9} = 0.131887178872293 & \lambda_{12,11} = 0.820253244225314 \\ \end{array} $$