TABLE 1.

Summarized results from the numerically determined probability distributions for randomly oriented dipoles

N	〈M/Msat〉	〈DMO〉	P90	P99	p > 0.8
5	0.41	0.73	0.98	0.99	0.454
8	0.32	0.60	0.91	0.99	0.204
12	0.26	0.50	0.76	0.96	0.068
14	0.24	0.47	0.71	0.89	0.044
17	0.22	0.43	0.66	0.84	0.017
22	0.19	0.38	0.58	0.75	0.005
32	0.16	0.32	0.49	0.64	0.000
45	0.13	0.27	0.42	0.55	0.000

Columns: N, number of dipoles per configuration; 〈M/M_sat〉, expectation value of spontaneous magnetization normalized by saturation magnetization; 〈DMO〉, expectation value of DMO; P₉₀, 90th percentile of DMO, that is, Prob(DMO < P₉₀) = 0.9; and P₉₉, 99th percentile of DMO. Five-thousand configurations were computed for each N to obtain a good estimate of the probability distribution. (p > 0.8: Prob(DMO > 0.8).)