# Black box algorithm to find standard generators of Fi24':2

	set V 0
	set F 0
	set G 0

lbl START
	rand 1
	ord 1 A
	incr V
	if V gt 1000 then timeout
	if A notin 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 &
			23 24 26 27 28 29 30 33 34 35 36 39 40 42 45 &
			46 54 60 66 70 78 84 then fail
	if F eq 0 then
		if A in 34 46 54 70 78 then
			div A 2 B
			pwr B 1 2
			set F 1
		endif
	endif

	if G eq 0 then
		if A eq 40 then
			pwr 5 1 3
			set G 1
		endif
	endif

	if F eq 0 then jmp START
	if G eq 0 then jmp START

	set X 0

lbl CONJ
 	incr X
	if X gt 1000 then timeout
	rand 4
	cjr 3 4
	mu 2 3 5   # ab
	ord 5 D
	if D notin 4 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 26 &
			27 28 29 30 35 36 39 42 60 then fail
	if D noteq 29 then jmp CONJ

	oup 2 2 3
