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A141649
Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(7).
3
1, 1, 4, 1, 6, 3, 1, 6, 0, 4, 1, 0, 5, 4, 3, 1, 0, 0, 0, 1, 4, 1, 0, 1, 5, 4, 6, 3, 1, 0, 0, 0, 0, 0, 6, 4, 1, 0, 0, 0, 0, 4, 6, 2, 3, 1, 0, 0, 0, 0, 6, 1, 0, 6, 4, 1, 0, 0, 0, 1, 1, 4, 1, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 0, 0, 0, 2, 5, 3, 2, 4, 0, 5, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4
OFFSET
0,3
COMMENTS
The exponents are taken in decreasing order, starting with X^n.
REFERENCES
J. H. Conway, A tabulation of some information concerning finite fields, in Computers in Mathematical Research, R. F. Churchhouse and J.-C. Hertz, eds., North-Holland, Amsterdam, 1968, pp. 37-50.
C. Jansen et al., An Atlas of Brauer Characters, Oxford Univ. Press, 1995 (see Appendix 1).
LINKS
Frank Luebeck, Conway polynomials for finite fields. [From Vladeta Jovovic, Sep 11 2008]
EXAMPLE
Triangle begins:
1
1 4
1 6 3
1 6 0 4
1 0 5 4 3
CROSSREFS
Sequence in context: A174390 A153017 A038457 * A101347 A200344 A328726
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Sep 09 2008
EXTENSIONS
Polynomials n=5 etc. from MAGMA's ConwayPolynomial(7,n) added by R. J. Mathar, Sep 13 2008
STATUS
approved