Table 3.

Simplified Ω^T for HS mating system.

1	N−1	1	N−1	N−2	1	N−1	N−2	N−3
(1−c)2	$\frac{c^2}{v-1}-\frac{1+2c\left(c-1\right)}{v}$	0	$\frac{1-c}{v}$	$\frac{2c-1}{v^2}$	0	0	$\frac{2}{v^2}$	$-\frac{2}{v^3}$
2c (1−c)	$\frac{4c\left(2c-1\right)}{v}-\frac{2c^2}{v-1}$	1−c	$\frac{6c-3}{v}$	$\frac{2-8c}{v^2}$	0	$\frac{4}{v}$	$-\frac{12}{v^2}$	$\frac{8}{v^3}$
c2	$\frac{2c^2\left(3-2v\right)}{v\left(v-1\right)}$	c	$-\frac{5c}{v}$	$\frac{6c}{v^2}$	1	$-\frac{6}{v}$	$\frac{11}{v^2}$	$-\frac{6}{v^3}$

Each element of Ω^T is a combination of 1, N⁻¹, N⁻² and N⁻³ with the combination coefficients in the corresponding cell. The combination coefficients are zero for unpresented terms.