There is *no* element on secp256k1's field where the secp256k1 equation holds for (x,1/x). The equation f(x) = (x^3 + 7) - (1/x)^2  has no roots in secp256k1's field.

Your invocation of "satoshi pubkey" appears to be fantasist bullshit, polluting the information available online.  In the off chance that your statement has some alternative meaning,  I'm going to give you an opportunity to explain exactly what you meant and give concrete examples (show the actual values) and to show how it relates to a "satoshi pubkey".  If you're unable I'm going to remove you from the forum.