Why not use arb which seems faster: sage: BF=ComplexBallField(600) sage: %timeit _=(BF(-3).sqrt()/2+1/2).polylog(2) 1000 loops, best of 3: 1.57 ms per loop sage: %timeit _=dilog(1/2+sqrt(-3)/2).n(600) 100 loops, best of 3: 2.97 ms per loop
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