# 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