The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm is as follows. Let.

The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm is as follows. Let x1, x2 be the roots of the polynomial x 2 + 3x + 1. Each letter of the plaintext is replaced with its position in the English alphabet (A is 1 and Z is 26). Then to every number the value of the polynomial f(x) = x 6 + 3x 5+ x 4 +x 3 + 4x 2 + 4x+ 3 either at x1 or at x2 is added. After that the numbers obtained are replaced with letters. Recover the plaintext. (Moral of the story: Repeating complex steps may lead to a very trivial cipher.)