# Black box algorithm to find standard generators
# of M24

	set F 0
	set G 0
	set V 0
lbl SEMISTD
	rand 1
	ord 1 A
	incr V
	if V gt 1000 then timeout
	if A notin 1 2 3 4 5 6 7 8 10 11 12 14 15 21 23 then fail
	if F eq 0 then
		if A eq 10 then
			pwr 5 1 2
			set F 1
		endif
	endif
	if G eq 0 then
		if A eq 15 then
			pwr 5 1 3
			set G 1
		endif
	endif

	if F eq 0 then jmp SEMISTD
	if G eq 0 then jmp SEMISTD
	
	set X 0
lbl CONJUGATE
	incr X
	if X gt 1000 then timeout
	rand 4
	cjr 3 4
	mu 2 3 5
	ord 5 D
	if D notin 2 3 4 6 7 8 10 11 12 14 15 21 23 then fail
	if D noteq 23 then jmp CONJUGATE

	mu 5 3 6  # abb
	mu 5 6 7  # ababb
	mu 7 7 8
	mu 8 6 9
	mu 5 9 11

	ord 11 E
	if E notin 4 5 then fail
	if E eq 5 then
		inv 3 12
		cp 12 3
	endif

	oup 2 2 3