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While your computations for y and z are correctly done (I think) in Z/(p-1), your computations with K need to be done in Z/(p) instead. So add another ring:
R = IntegerModRing(8885569518)
S = IntegerModRing(8885569519)
K = 263785120
a = 11
b = 17
Ka = S(K)^a
(etc.)
y = 1/R(a)
(etc.)
