Question: Why do I get different result in maple and python? (Precision?)

phi:=(j,x)->piecewise(j=0,exp(x),1/(j-1)!*Integrate(exp((1-theta)*x)*theta^(j-1),theta=0..1))

I want 15 digits after the dot, so I set Digits:=15

Setting j=3, x=0.01 I received

phi(j,x)=0.167084168060000

 

Doing the same in python I receive

0.16708416805754214

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