p = 837583943092107483758343358937591
A = 11290589211290996800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002664145

R = PolynomialRing(GF(p) , 'x')
m = x^6 + x -44
Q.<a> = R.quotient(m)

f = (a^5 + 2)^A

(3 * 5 * 19 * 102039541 * 1804940398853169346963 *  (a + 19960176503097491705069258205533) * (a + 72896318692822062674543563582936) * (a + 104733097770943665531933549263925) * (a + 123895371073210526668352562854819)* (a + 128528162021914762403572685163296) ) == f