(a, b, c) = decomposeFraction(p, t)
Given a rational number $t$ and a prime $p$, decomposeFraction(p, t) returns a sequence ($a$,$b$,$c$) of integers, with $b$ and $c$ nonnegative, such that $t = a/(p^b(p^c-1))$.
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If the number $t$ is of the form $a/p^b$, then the function returns ($a$,$b$,$0$). Setting the option NoZeroC => true forces the third entry of the output sequence to be nonzero, even if that means increasing the first entry.
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The object decomposeFraction is a method function with options.