Table 2.

Scalar weights ω(ϑ_j, φ_j) and orientations ϑ_j and φ_j for Stroud's integration (Pichler et al. 2009).

J	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
sin(ϑj)cos(φj)	+r	+r	−r	−r	+t	+t	−t	−t	+s	+s	−s	−s	1	0	0
sin(ϑj)sin(φj)	+s	−s	+s	−s	+r	−r	+r	−r	+t	−t	+t	−t	0	1	0
cos(ϑj)	+t	+t	+t	+t	+s	+s	+s	+s	+r	+r	+r	+r	0	0	1
ω(ϑj, φj)	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15	1/15

r = 1/2, s = (√5 + 1)/4 and t = (√5 − 1)/4.