# Black box algorithm to find standard generators of S10(2)

	set V 0
	set F 0
	set G 0	

lbl SEMISTD
	incr V
	if V gt 1000 then timeout
	rand 1
	ord 1 A
	if A notin 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 &
			24 28 30 31 33 34 35 36 40 42 45 51 60 then fail
	if F eq 0 then
		if A eq 34 then
			pwr 17 1 2
			set F 1
		endif
	endif
	if G eq 0 then
		if A in 11 33 then
			div A 11 B
			pwr B 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 10000 then timeout
	rand 4
	cjr 3 4
	mu 2 3 5
	ord 5 D
	if D notin 10 12 15 16 18 24 28 30 31 33 34 35 36 40 &
			42 45 51 60 then fail
	if D noteq 15 then jmp CONJUGATE

	oup 2 2 3
