Icosahedral Group and Classification of PSL(2, Z)-Orbits of Real Quadratic Fields

Table 2

Enumeration of orbits.

Classes of equivalent circuits of length 6		Number of classes of cyclically equivalent circuits		Regarding distinct orbits
	720	60	240
	360	30	120
	168	14	56
	12	2	4
	120	10	40
	48	4	16
	18	3	6
	18	3	6
	6	1	2
	48	4	16
	12	2	4
	24	2	8
	6	1	2
	12	1	4
	6	1	2
	6	1	2
	3	1	1
	6	1	2
	6	1	2