%I #7 Mar 30 2012 16:51:57
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,-1,0,1,0,0,1,1,-1,0,-1,-1,0,1,0,-1,2,0,-1,-1,1,-1,0,1,-1,1,1,0,
%U -2,1,0,-1,0,1,1,0,1,-1,-1,0,0,-1,0,1
%N Expansion of the polynomial x^36*(x^12-1)*(x^9+1)*(x^8-1)*(x^6-1)*(x^5-1)*(x^2-1) in increasing powers of x.
%C x^36*(x^12-1)*(x^9+1)*(x^8-1)*(x^6-1)*(x^5-1)*(x^2-1) is the order of the twisted Chevalley group 2_E_6 (q), q = prime power.
%D R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.
%Y Cf. A008915, A008868, A178795.
%K sign,fini,full
%O 0,52
%A _N. J. A. Sloane_, Dec 26 2010