I make research about big numbers in finite fields and I need to calculate a cube root modulo prime
P for the number
N = 33307028807218380701173040920772273133747152666242396962200448019852017733098.
P = 115792089237316195423570985008687907853269984665640564039457584007908834671663
All algorithms that I can find over the web is not for modulo prime, or can not calculate cube roots of this number
Please, can anyone share the algorithm for finding the cube roots for this number in finite field of