So, apart from the fact that emacs is the only thing a computer should ever
run, here is something that might be useful, related to #12589. Of course,
the three-liner below is just a proof of concept, but could easily be
expanded into something that works reliably.
Martin
"""
sage: var('q')
sage: f=(q^13362120470/((q - 1)*(q^5 - 1)*(q^21 - 1)*(q^85 - 1)*(q^341
-1)*(q^1365 - 1)*(q^5461 - 1)*(q^21845 - 1)*(q^87381 - 1)*(q^349525
-1)*(q^1398101 - 1)*(q^5592405 - 1)*(q^22369621 - 1)*(q^89478485
-1)*(q^357913941 - 1)*(q^1431655765 - 1)*(q^5726623061 - 1))
+1)/(q^7635497409/((q - 1)*(q^5 - 1)*(q^21 - 1)*(q^85 - 1)*(q^341
-1)*(q^1365 - 1)*(q^5461 - 1)*(q^21845 - 1)*(q^87381 - 1)*(q^349525
-1)*(q^1398101 - 1)*(q^5592405 - 1)*(q^22369621 - 1)*(q^89478485
-1)*(q^357913941 - 1)*(q^1431655765 - 1)*(q^5726623061 - 1)) + 1)
sage: series(f, q, 0)
11
1 + O(q )
sage: series(sin(q), q, 0)
1 3 1 5 1 7 1 9 11
q - - q + --- q - ---- q + ------ q + O(q )
6 120 5040 362880
"""
def series(expr, x, a):
t = "UTS(FRAC INT, '" + str(x) + ", " + str(a) + ")"
fricas.set(str(x), "monomial(1,1)$" + t)
return fricas("(" + str(expr) + ")" + "::" + t)
>
>
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