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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.
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%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