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 ⟩ |