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how to calculate lfsr_sequence period?

I need to find L's period!

F = GF(2); l = F(1); o = F(0)
F = GF(2); S = LaurentSeriesRing(F,'x'); x = S.gen()
fill = [l,l,o,l]; key = [l,l,l,l]; n = 20
L = lfsr_sequence(key,fill,n)