Optimal 3-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.157330905682085 & \mu_{21} = 0.342491639470766 \\ \mu_{22} = 0.047573123554705 & \mu_{32} = 0.338136048168635 \\ \mu_{33} = 0.157021682372699 & \mu_{41} = 0.081822264233578 \\ \mu_{42} = 0.079106848361263 & \mu_{43} = 0.267698531248384 \\ \lambda_{21} = 0.703541497995214& \lambda_{32} = 0.694594303739345 \\ \lambda_{41} = 0.168078141811591& \lambda_{42} = 0.162500172803529 \\ \lambda_{43} = 0.549902549377947 \\ \end{array} $$ Optimal 4-stage, 4th-order method: $$\begin{array}{|ll|} \mu_{11} = 0.119309657880174 \\ \mu_{21} = 0.226141632153728 & \mu_{22} = 0.070605579799433 \\ \mu_{32} = 0.180764254304414 & \mu_{33} = 0.070606483961727 \\ \mu_{43} = 0.212545672537219 & \mu_{44} = 0.119309875536981 \\ \mu_{51} = 0.010888081702583 & \mu_{52} = 0.034154109552284 \\ \mu_{54} = 0.181099440898861 & \lambda_{21} = 1 \\ \lambda_{32} = 0.799340893504885& \lambda_{43} = 0.939878564212065 \\ \lambda_{51} = 0.048147179264990& \lambda_{52} = 0.151029729585865 \\ \lambda_{54} = 0.800823091149145& \end{array} $$ Optimal 5-stage, 4th-order method: $$\begin{array}{|ll|} \mu_{11} = 0.072154507748981 & \mu_{21} = 0.165562779595956 \\ \mu_{22} = 0.071232036614272 & \mu_{32} = 0.130035287184462 \\ \mu_{33} = 0.063186062090477 & \mu_{43} = 0.154799860761964 \\ \mu_{44} = 0.077017601068238 & \mu_{54} = 0.158089969701175 \\ \mu_{55} = 0.106426690493882 & \mu_{65} = 0.148091381629243 \\ \mu_{52} = 0.007472809894781 & \mu_{62} = 0.017471397966712 \\ \lambda_{21} = 1 & \lambda_{32} = 0.785413771753555 \\ \lambda_{43} = 0.934991917505507 & \lambda_{54} = 0.954864191619538 \\ \lambda_{65} = 0.894472670673021 & \lambda_{52} = 0.045135808380468 \\ \lambda_{62} = 0.105527329326976 \end{array} $$ Optimal 6-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.077219435861458 & \mu_{21} = 0.128204308556198 \\ \mu_{22} = 0.063842903854499 & \mu_{32} = 0.128204308556197 \\ \mu_{33} = 0.058359965096908 & \mu_{41} = 0.008458154338733 \\ \mu_{43} = 0.103230521234296 & \mu_{44} = 0.058105933032597 \\ \mu_{54} = 0.128204308556197 & \mu_{55} = 0.064105484788524 \\ \mu_{63} = 0.008043763906343 & \mu_{65} = 0.120160544649854 \\ \mu_{66} = 0.077016336936138 & \mu_{73} = 0.013804194371285 \\ \mu_{76} = 0.114400114184912 & \lambda_{21} = 1 \\ \lambda_{32} = 1 & \lambda_{41} = 0.065974025631326 \\ \lambda_{43} = 0.805203213502341 & \lambda_{54} = 1 \\ \lambda_{63} = 0.062741759593964 & \lambda_{65} = 0.937258240406037 \\ \lambda_{73} = 0.107673404480272 & \lambda_{76} = 0.892326595519728 \end{array} $$ Optimal 7-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.081324471088377 & \mu_{21} = 0.108801609187400 \\ \mu_{22} = 0.051065224656204 & \mu_{32} = 0.108801609187400 \\ \mu_{33} = 0.036491713577701 & \mu_{43} = 0.094185417979586 \\ \mu_{44} = 0.037028821732794 & \mu_{54} = 0.108801609187400 \\ \mu_{55} = 0.040474271914787 & \mu_{65} = 0.108801609187400 \\ \mu_{66} = 0.061352000212100 & \mu_{73} = 0.020631403945188 \\ \mu_{76} = 0.088170205242212 & \mu_{77} = 0.080145231879588 \\ \mu_{83} = 0.001561606596621 & \mu_{87} = 0.107240002590779 \\ \lambda_{21} = 1 & \lambda_{32} = 1 \\ \lambda_{43} = 0.865661994183934 & \lambda_{54} = 1 \\ \lambda_{65} = 1 & \lambda_{73} = 0.189624069894518 \\ \lambda_{76} = 0.810375930105481 & \lambda_{83} = 0.014352789524754 \\ \lambda_{87} = 0.985647210475246 \end{array} $$ Optimal 8-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.080355939553359 & \mu_{21} = 0.093742212796061 \\ \mu_{22} = 0.054617345411549 & \mu_{32} = 0.093742212796061 \\ \mu_{33} = 0.039438131644116 & \mu_{43} = 0.093742212796061 \\ \mu_{44} = 0.032427875074076 & \mu_{51} = 0.004426522032754 \\ \mu_{54} = 0.083174746150582 & \mu_{55} = 0.030116385482588 \\ \mu_{65} = 0.093742212796061 & \mu_{66} = 0.038334326442344 \\ \mu_{76} = 0.093742212796061 & \mu_{77} = 0.058861620081910 \\ \mu_{84} = 0.021977226754808 & \mu_{87} = 0.071764986041253 \\ \mu_{88} = 0.055606577879005 & \mu_{98} = 0.093742212796061 \\ \lambda_{21} = 1 & \lambda_{32} = 1 \\ \lambda_{43} = 1 & \lambda_{51} = 0.047220157287989 \\ \lambda_{54} = 0.887270992114641 & \lambda_{65} = 1 \\ \lambda_{76} = 1 & \lambda_{84} = 0.234443225728203 \\ \lambda_{87} = 0.765556774271797 & \lambda_{98} = 1 \end{array} $$ Optimal 9-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.068605696784244 & \mu_{21} = 0.082269487560004 \\ \mu_{22} = 0.048685583036902 & \mu_{32} = 0.077774790319743 \\ \mu_{33} = 0.039925150083662 & \mu_{43} = 0.083046524401968 \\ \mu_{44} = 0.031928917146492 & \mu_{54} = 0.083046524401968 \\ \mu_{55} = 0.029618614941264 & \mu_{61} = 0.008747971137402 \\ \mu_{62} = 0.001326570052113 & \mu_{65} = 0.072971983212453 \\ \mu_{66} = 0.029699905991308 & \mu_{76} = 0.083046524401968 \\ \mu_{77} = 0.035642110881905 & \mu_{87} = 0.083046524401969 \\ \mu_{88} = 0.050978240433952 & \mu_{95} = 0.017775897980583 \\ \mu_{98} = 0.065270626421385 & \mu_{99} = 0.057552171403649 \\ \mu_{10,9} = 0.083046524401968 & \lambda_{21} = 0.990643355064403 \\ \lambda_{32} = 0.936520713898770 & \lambda_{43} = 1 \\ \lambda_{54} = 1 & \lambda_{61} = 0.105338196876962 \\ \lambda_{62} = 0.015973817828813 & \lambda_{65} = 0.878687985294225 \\ \lambda_{76} = 1 & \lambda_{87} = 1 \\ \lambda_{95} = 0.214047464461523 & \lambda_{98} = 0.785952535538477 \\ \lambda_{10,9} = 1 & \end{array} $$ Optimal 10-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.053637857412307 & \mu_{21} = 0.073302847899924 \\ \mu_{22} = 0.042472343576273 & \mu_{32} = 0.063734820131903 \\ \mu_{33} = 0.039816143518898 & \mu_{43} = 0.072590353622503 \\ \mu_{44} = 0.034233821696022 & \mu_{54} = 0.073302847899924 \\ \mu_{55} = 0.030626774272464 & \mu_{65} = 0.073302847899924 \\ \mu_{66} = 0.029485772863308 & \mu_{72} = 0.008896701400356 \\ \mu_{76} = 0.064406146499568 & \mu_{77} = 0.033369849008191 \\ \mu_{87} = 0.073302847899924 & \mu_{88} = 0.037227578299133 \\ \mu_{98} = 0.073302847899924 & \mu_{99} = 0.046126339053885 \\ \mu_{10,6} = 0.012892211367605 & \mu_{10,9} = 0.060410636532319 \\ \mu_{10,10} = 0.053275700719583 & \mu_{11,10} = 0.073302847899924 \\ \lambda_{21} = 1 & \lambda_{32} = 0.869472632481021 \\ \lambda_{43} = 0.990280128291965 & \lambda_{54} = 1 \\ \lambda_{65} = 1 & \lambda_{72} = 0.121369109867354 \\ \lambda_{76} = 0.878630890132646 & \lambda_{87} = 1 \\ \lambda_{98} = 1 & \lambda_{10,6} = 0.175875995775857 \\ \lambda_{10,9} = 0.824124004224143 & \lambda_{11,10} = 1 \\ \end{array} $$ Optimal 11-stage, 4th-order method: $$\begin{array}{ll} \mu_{11} = 0.056977945207836 & \mu_{21} = 0.065880156369595 \\ \mu_{22} = 0.043484869703481 & \mu_{32} = 0.065880156369595 \\ \mu_{33} = 0.035790792116714 & \mu_{41} = 0.000026595081404 \\ \mu_{43} = 0.061212831485396 & \mu_{44} = 0.029306212740362 \\ \mu_{54} = 0.065880156369595 & \mu_{55} = 0.028274789742965 \\ \mu_{65} = 0.065880156369595 & \mu_{66} = 0.025442782369057 \\ \mu_{76} = 0.065880156369595 & \mu_{77} = 0.029602951078198 \\ \mu_{83} = 0.009935800759662 & \mu_{87} = 0.055944355609932 \\ \mu_{88} = 0.027887296332663 & \mu_{98} = 0.065880156369595 \\ \mu_{99} = 0.033340440672342 & \mu_{10,9} = 0.065880156369595 \\ \mu_{10,10} = 0.042024506703707 & \mu_{11,7} = 0.012021727578515 \\ \mu_{11,10} = 0.053858428791080 & \mu_{11,11} = 0.045164424313434 \\ \mu_{12,11} = 0.065880156369595 & \lambda_{21} = 1 \\ \lambda_{32} = 1 & \lambda_{41} = 0.000403688802047 \\ \lambda_{43} = 0.929154313811668 & \lambda_{54} = 1 \\ \lambda_{65} = 1 & \lambda_{76} = 1 \\ \lambda_{83} = 0.150816289869158 & \lambda_{87} = 0.849183710130842 \\ \lambda_{98} = 1 & \lambda_{10,9} = 1 \\ \lambda_{11,7} = 0.182478734735714 & \lambda_{11,10} = 0.817521265264286 \\ \lambda_{12,11}= 1 \end{array} $$