A141749 Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(11).

1, 1, 9, 1, 7, 2, 1, 0, 2, 9, 1, 0, 8, 10, 2, 1, 0, 0, 10, 0, 9, 1, 0, 3, 4, 6, 7, 2, 1, 0, 0, 0, 0, 0, 4, 9, 1, 0, 0, 0, 7, 7, 1, 7, 2, 1, 0, 0, 0, 0, 0, 0, 9, 8, 9, 1, 0, 0, 0, 0, 7, 8, 10, 6, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 9, 1, 0, 0, 0, 1, 1, 4, 2, 5, 5, 6, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9

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

R. J. Mathar, F. Luebeck, Table of n, a(n) for n = 0..350.

Frank Luebeck, Conway polynomials for finite fields.

Example

Triangle begins:
  1;
  1, 9;
  1, 7, 2;
  1, 0, 2,  9;
  1, 0, 8, 10, 2;
  1, 0, 0, 10, 0, 9;
  1, 0, 3,  4, 6, 7, 2;
  1, 0, 0,  0, 0, 0, 4, 9;
  1, 0, 0,  0, 7, 7, 1, 7, 2;
  1, 0, 0,  0, 0, 0, 0, 9, 8, 9;
  ...

Prog

(Magma) // See MAGMA's ConwayPolynomial(11, n) function.

Crossrefs

Cf. A141646, A141647, A141648, A141649.

Sequence in context: A367960 A280703 A364502 * A385510 A117017 A244861

Adjacent sequences: A141746 A141747 A141748 * A141750 A141751 A141752

Keyword

nonn,tabl

Author

N. J. A. Sloane, Sep 14 2008

Status

approved