Runge-Kutta-Chebyshev (20,2)

\begin{align} \begin{array}{c|cccccccccccccccccccc} & & & & & & & & & & & & & & & & & & & & \\ \frac{1}{133} & \frac{1}{133} & & & & & & & & & & & & & & & & & & & \\ \frac{1}{133} & \frac{1}{266} & \frac{1}{266} & & & & & & & & & & & & & & & & & & \\ \frac{8}{399} & - \frac{8}{1197} & \frac{32}{3591} & \frac{64}{3591} & & & & & & & & & & & & & & & & & \\ \frac{5}{133} & - \frac{255}{8512} & \frac{15}{1064} & \frac{5}{133} & \frac{135}{8512} & & & & & & & & & & & & & & & & \\ \frac{8}{133} & - \frac{1076}{16625} & \frac{64}{3325} & \frac{192}{3325} & \frac{108}{3325} & \frac{256}{16625} & & & & & & & & & & & & & & & \\ \frac{5}{57} & - \frac{151}{1368} & \frac{25}{1026} & \frac{40}{513} & \frac{15}{304} & \frac{16}{513} & \frac{125}{8208} & & & & & & & & & & & & & & \\ \frac{16}{133} & - \frac{38008}{228095} & \frac{192}{6517} & \frac{640}{6517} & \frac{432}{6517} & \frac{1536}{32585} & \frac{200}{6517} & \frac{3456}{228095} & & & & & & & & & & & & & \\ \frac{3}{19} & - \frac{79437}{340480} & \frac{21}{608} & \frac{9}{76} & \frac{405}{4864} & \frac{6}{95} & \frac{225}{4864} & \frac{81}{2660} & \frac{147}{9728} & & & & & & & & & & & & \\ \frac{80}{399} & - \frac{210604}{678699} & \frac{1280}{32319} & \frac{640}{4617} & \frac{40}{399} & \frac{2560}{32319} & \frac{2000}{32319} & \frac{128}{2793} & \frac{140}{4617} & \frac{10240}{678699} & & & & & & & & & & & \\ \frac{33}{133} & - \frac{148049}{372400} & \frac{297}{6650} & \frac{528}{3325} & \frac{891}{7600} & \frac{1584}{16625} & \frac{165}{2128} & \frac{7128}{116375} & \frac{693}{15200} & \frac{704}{23275} & \frac{8019}{532000} & & & & & & & & & & \\ \frac{40}{133} & - \frac{1840178}{3717483} & \frac{800}{16093} & \frac{2880}{16093} & \frac{2160}{16093} & \frac{256}{2299} & \frac{1500}{16093} & \frac{8640}{112651} & \frac{140}{2299} & \frac{5120}{112651} & \frac{486}{16093} & \frac{8000}{531069} & & & & & & & & & \\ \frac{143}{399} & - \frac{191347}{317520} & \frac{1573}{28728} & \frac{715}{3591} & \frac{1287}{8512} & \frac{2288}{17955} & \frac{3575}{32832} & \frac{429}{4655} & \frac{5005}{65664} & \frac{4576}{75411} & \frac{3861}{85120} & \frac{325}{10773} & \frac{17303}{1149120} & & & & & & & & \\ \frac{8}{19} & - \frac{34732694}{48213165} & \frac{192}{3211} & \frac{704}{3211} & \frac{540}{3211} & \frac{2304}{16055} & \frac{400}{3211} & \frac{1728}{16055} & \frac{294}{3211} & \frac{5120}{67431} & \frac{972}{16055} & \frac{1600}{35321} & \frac{484}{16055} & \frac{6912}{459173} & & & & & & & \\ \frac{65}{133} & - \frac{20432707}{24086832} & \frac{845}{13034} & \frac{1560}{6517} & \frac{19305}{104272} & \frac{1040}{6517} & \frac{14625}{104272} & \frac{5616}{45619} & \frac{65}{608} & \frac{4160}{45619} & \frac{15795}{208544} & \frac{13000}{215061} & \frac{4719}{104272} & \frac{2160}{71687} & \frac{10985}{729904} & & & & & & \\ \frac{32}{57} & - \frac{37985848}{38513475} & \frac{896}{12825} & \frac{3328}{12825} & \frac{96}{475} & \frac{11264}{64125} & \frac{80}{513} & \frac{2304}{16625} & \frac{1568}{12825} & \frac{4096}{38475} & \frac{216}{2375} & \frac{1280}{16929} & \frac{3872}{64125} & \frac{3072}{67925} & \frac{2704}{89775} & \frac{12544}{833625} & & & & & \\ \frac{85}{133} & - \frac{1855818719}{1635938304} & \frac{1275}{17024} & \frac{85}{304} & \frac{29835}{136192} & \frac{51}{266} & \frac{23375}{136192} & \frac{2295}{14896} & \frac{5355}{38912} & \frac{340}{2793} & \frac{4131}{38912} & \frac{2125}{23408} & \frac{10285}{136192} & \frac{2295}{38038} & \frac{43095}{953344} & \frac{119}{3952} & \frac{57375}{3813376} & & & & \\ \frac{96}{133} & - \frac{4227342628}{3270412145} & \frac{3072}{38437} & \frac{11520}{38437} & \frac{1296}{5491} & \frac{39936}{192185} & \frac{7200}{38437} & \frac{228096}{1345295} & \frac{840}{5491} & \frac{36864}{269059} & \frac{23328}{192185} & \frac{6400}{60401} & \frac{17424}{192185} & \frac{414720}{5496491} & \frac{16224}{269059} & \frac{16128}{356915} & \frac{8100}{269059} & \frac{49152}{3267145} & & & \\ \frac{17}{21} & - \frac{1193972657}{817296480} & \frac{289}{3402} & \frac{544}{1701} & \frac{85}{336} & \frac{272}{1215} & \frac{5525}{27216} & \frac{136}{735} & \frac{1309}{7776} & \frac{5440}{35721} & \frac{153}{1120} & \frac{6800}{56133} & \frac{2057}{19440} & \frac{272}{3003} & \frac{14365}{190512} & \frac{952}{15795} & \frac{425}{9408} & \frac{256}{8505} & \frac{4913}{326592} & & \\ \frac{120}{133} & - \frac{25446999243}{15523707199} & \frac{4320}{48013} & \frac{16320}{48013} & \frac{12960}{48013} & \frac{11520}{48013} & \frac{1500}{6859} & \frac{67392}{336091} & \frac{1260}{6859} & \frac{56320}{336091} & \frac{7290}{48013} & \frac{72000}{528143} & \frac{5808}{48013} & \frac{103680}{980837} & \frac{30420}{336091} & \frac{6720}{89167} & \frac{20250}{336091} & \frac{36864}{816221} & \frac{1445}{48013} & \frac{233280}{15508199} & \\ \hline & - \frac{9454786563}{5173168000} & \frac{19}{200} & \frac{9}{25} & \frac{459}{1600} & \frac{32}{125} & \frac{15}{64} & \frac{27}{125} & \frac{637}{3200} & \frac{32}{175} & \frac{2673}{16000} & \frac{5}{33} & \frac{1089}{8000} & \frac{432}{3575} & \frac{169}{1600} & \frac{147}{1625} & \frac{135}{1792} & \frac{128}{2125} & \frac{289}{6400} & \frac{243}{8075} & \frac{361}{24000} \end{array}\end{align}