S000117


Discriminants and 6-term forms of even and odd primitive forms of regular ternary forms, sorted.

2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 1, 4, 1, 1, 1, 0, 0, 0, 5, 1, 1, 2, 1, 1, 1, 6, 1, 1, 2, 0, 0, 1, 6, 1, 1, 2, 1, 1, 0, 7, 1, 1, 2, 0, 1, 0, 8, 1, 1, 2, 0, 0, 0, 8, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 0, 0, 1, 10, 1, 1, 3, 1, 1, 0, 10, 1, 2, 2, 2, 1, 1, 11, 1, 1, 3, 0, 1, 0

1

S000117

The 6-term form (a,b,c,d,e,f) corresponds to the form a*x^2 + b*y^2 + c*z^2 + d*y*z + e*x*z + f*x*y. The plot shows negative numbers x plotted as -Log10(-x). Zero terms are plotted as 0. The first negative term occurs in row 40, which is for the discriminant 25.

T. D. Noe, Plot of 913 * 7 terms

T. D. Noe, Table of 913 * 7 terms

William C. Jagy, Irving Kaplansky, and Alexander Schiemann, There are 913 regular ternary forms, Mathematika, Vol. 44, Issue 02, Dec. 1997, pp 332-341.

William C. Jagy, Integral positive ternary quadratic forms (unpublished), 2014.

William C. Jagy, List of regular forms (terms in this sequence)

Cf. S000116.

sign,fini,full,nice

T. D. Noe, Jul 01 2014

© Tony D Noe 2014-2015