# Black box algorithm to find standard generators of Co1 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 13 14 15 16 18 20 21 & 22 23 24 26 28 30 33 35 36 39 40 42 60 then fail if F eq 0 then if A in 26 42 then div A 2 B pwr B 1 2 set F 1 endif endif if G eq 0 then if A in 9 18 36 then div A 3 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 2000 then timeout rand 4 cjr 3 4 mu 2 3 5 ord 5 D if D notin 3 6 8 9 10 11 12 13 14 15 16 18 20 21 22 23 24 26 & 28 30 33 35 36 39 40 42 60 then fail if D noteq 40 then jmp CONJUGATE mu 5 3 6 # abb mu 5 6 7 # ababb ord 7 E if E notin 6 21 then fail if E noteq 6 then jmp CONJUGATE oup 2 2 3