Lower order terms in the full moment conjecture for the Riemann zeta   function
  We describe an algorithm for obtaining explicit expressions for lower terms for the conjectured full asymptotics of the moments of the Riemann zeta function, and give two distinct methods for obtaining numerical values of these coefficients. We also provide some numerical evidence in favour of the conjecture. 
J. Brian Conrey, David W. Farmer, Jon P. Keating, Michael O.   Rubinstein, Nina C. Snaith