# Black box algorithm to find standard generators of McL 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 30 then fail if F eq 0 then if A in 2 4 6 8 10 12 14 30 then div A 2 B pwr B 1 2 set F 1 endif endif if G eq 0 then if A in 10 15 30 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 1000 then timeout rand 4 cjr 3 4 mu 2 3 5 ord 5 D if D notin 6 7 8 10 11 12 14 15 30 then fail if D noteq 11 then jmp CONJUGATE mu 5 3 6 # abb mu 5 6 7 # ababb mu 5 5 8 # abab mu 8 7 9 mu 9 7 10 mu 10 6 11 ord 11 E if E noteq 7 then jmp CONJUGATE oup 2 2 3