Computing Christoffel symbols in Maxima
maxima
(%i2) load(ctensor)
maxima
<latex>\mbox{\verb|f|}\mbox{\verb|i|}\mbox{\verb|l|}\mbox{\verb|e|}
\mbox{\verb|_|}\mbox{\verb|s|}\mbox{\verb|e|}\mbox{\verb|a|}
\mbox{\verb|r|}\mbox{\verb|c|}\mbox{\verb|h|}\mbox{\verb|1|}
\mbox{\verb|:|}\mbox{\verb| |}\mathrm{ctensor}\mbox{\verb| |}
\mbox{\verb|n|}\mbox{\verb|o|}\mbox{\verb|t|}\mbox{\verb| |}
\mbox{\verb|f|}\mbox{\verb|o|}\mbox{\verb|u|}\mbox{\verb|n|}
\mbox{\verb|d|}\mbox{\verb| |}\mbox{\verb|i|}\mbox{\verb|n|}
\mbox{\verb| |}\mbox{\verb|f|}\mbox{\verb|i|}\mbox{\verb|l|}
\mbox{\verb|e|}\mbox{\verb|_|}\mbox{\verb|s|}\mbox{\verb|e|}
\mbox{\verb|a|}\mbox{\verb|r|}\mbox{\verb|c|}\mbox{\verb|h|}
\mbox{\verb|_|}\mbox{\verb|m|}\mbox{\verb|a|}\mbox{\verb|x|}
\mbox{\verb|i|}\mbox{\verb|m|}\mbox{\verb|a|}\mbox{\verb|,|}
\mbox{\verb|f|}\mbox{\verb|i|}\mbox{\verb|l|}\mbox{\verb|e|}
\mbox{\verb|_|}\mbox{\verb|s|}\mbox{\verb|e|}\mbox{\verb|a|}
\mbox{\verb|r|}\mbox{\verb|c|}\mbox{\verb|h|}\mbox{\verb|_|}
\mbox{\verb|l|}\mbox{\verb|i|}\mbox{\verb|s|}\mbox{\verb|p|}
\mbox{\verb|.|}</latex>
-- an error. To debug this try: debugmode(true);