# Black box algorithm to find standard generators of He 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 17 21 28 then fail if F eq 0 then if A in 10 28 then div A 2 B pwr B 1 2 set F 1 endif endif if G eq 0 then if A eq 8 then pwr 4 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 ELTORDER7 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 7 8 10 12 15 17 21 then fail if D notin 7 21 then jmp ELTORDER7 div D 7 E pwr E 6 7 set Z 0 lbl CONJUGATE incr Z if Z gt 1000 then timeout rand 8 cjr 7 8 mu 2 7 9 ord 9 E if E notin 3 4 6 7 8 10 12 15 17 21 28 then fail if E noteq 17 then jmp CONJUGATE oup 2 2 7