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The variable in InfinitePolynomialRing does not exist until you "touch" it on way or another. E.g., defining

p = a[1]*a[2]^2 + 0*a[3]

makes the error go away.

The A variable in InfinitePolynomialRing does not exist until you "touch" it on way or another. E.g., defining

p = a[1]*a[2]^2 + 0*a[3]

makes the error go away.

A variable in InfinitePolynomialRing object does not exist until you "touch" it on way or another. explicitly introduce it. E.g., defining

p = a[1]*a[2]^2 + 0*a[3]

makes the error go away.

A variable in InfinitePolynomialRing object does not exist until you explicitly introduce it. E.g., defining

p = a[1]*a[2]^2 + 0*a[3]

makes the error go away.

See also https://ask.sagemath.org/question/53319/