Here are two examples of multiplications in family F− that, although valid, would probably be deemed trivial. It is difficult to find any other trivial multiplications except when a constant factor is applied to the second of these.

Script ⟨ 0; 0 ⟩:

a × a	= 0		b × a	= 0		c × a	= 0
a × b	= 0		b × b	= 0		c × b	= 0
a × c	= 0		b × c	= 0		c × c	= 0

Script ⟨ 0; +1, +1, +1 ⟩

a × a

= ⟨

0,

0,

0 ⟩

b × a

= ⟨

−1,

−1,

−1 ⟩

c × a

= ⟨

+1,

+1,

+1 ⟩

a × b

= ⟨

+1,

+1,

+1 ⟩

b × b

= ⟨

0,

0,

0 ⟩

c × b

= ⟨

−1,

−1,

−1 ⟩

a × c

= ⟨

−1,

−1,

−1 ⟩

b × c

= ⟨

+1,

+1,

+1 ⟩

c × c

= ⟨

0,

0,

0 ⟩