# Black box algorithm to find standard generators of O'N.2 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 16 19 20 22 24 & 28 30 31 38 56 then fail if F eq 0 then if A in 22 30 38 then div A 2 B pwr B 1 2 set F 1 endif endif if G eq 0 then if A in 20 28 56 then div A 4 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 2, 6, 8, 10, 14, 22, 24, 30, 38, 56 then fail if D noteq 22 then jmp CONJUGATE oup 2 2 3