Maximal Cyclotomic Matrices from Q(sqrt(-7))
June 12th, 2008As a companion to my previous post, here’s the list of valid forms of a connected maximal cyclotomic graph with an entry from the ring of integers of Q(√ -7):
Uncharged Lines:
Uncharged Squares:
Uncharged Hexagons:
Uncharged Cubes:
T_2k Variants (Infinite Family):
A chain of the form
for any integer k.
Charged Triangles:
Charged Squares:
or
C_2k Variants (Infinite Family):
A chain of the form
for any integer k.