# Black box algorithm to find standard generators of M12
# (Second listed algorithm)
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 8 10 11 then fail
if F eq 0 then
if A in 4 8 then
div A 2 B
pwr B 1 2
set F 1
endif
endif
if G eq 0 then
if A eq 10 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 ELTORDER3
incr X
if X gt 1000 then timeout
rand 4
cj 3 4 5
mu 3 5 6
ord 6 D
if D notin 1 2 3 4 5 6 then fail
if D notin 3 6 then jmp ELTORDER3
div D 3 E
pwr E 6 7
set X 0
lbl CONJUGATE
incr X
if X gt 1000 then timeout
rand 8
cjr 7 8
mu 2 7 9
ord 9 F
if F notin 2 3 5 6 8 10 11 then fail
if F noteq 11 then jmp CONJUGATE
oup 2 2 7
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