A178798 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.

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, 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, -2, 1, 0, -1, 0, 1, 1, 0, 1, -1, -1, 0, 0, -1, 0, 1

Offset: 0

Author

N. J. A. Sloane, Dec 26 2010

Keywords

• sign
• fini
• full

Comments

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.

References

• R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.

Crossrefs

Cf. A008915, A008868, A178795.