# Black box algorithm to find standard generators of Ly
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 9 10 11 12 14 15 18 20 21 &
22 24 25 28 30 31 33 37 40 42 67 then fail
if F eq 0 then
if A in 2 4 6 8 10 12 14 18 20 22 24 28 30 40 42 then
div A 2 B
pwr B 1 2
set F 1
endif
endif
if G eq 0 then
if A in 20 25 40 then
div A 5 C
pwr C 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 3000 then timeout
rand 4
cjr 3 4
mu 2 3 5
ord 5 D
if D notin 2 6 7 8 9 10 11 12 14 15 18 20 21 22 24 25 &
28 30 31 33 37 40 42 67 then fail
if D noteq 14 then jmp CONJUGATE
mu 5 3 6
mu 5 5 7
mu 7 6 8
ord 8 E
if E noteq 67 then jmp CONJUGATE
oup 2 2 3
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