# Black box algorithm to find standard generators of He.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 12 14 15 16 17 20 21 24 & 28 30 42 then fail if F eq 0 then if A eq 16 then pwr 8 1 2 set F 1 endif endif if G eq 0 then if A eq 30 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 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 4 6 8 10 12 14 16 20 24 30 42 then fail if D noteq 30 then jmp CONJUGATE oup 2 2 3