# Black box algorithm to find standard generators of S10(2) set V 0 set F 0 set G 0 lbl SEMISTD incr V if V gt 1000 then timeout rand 1 ord 1 A if A notin 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 & 24 28 30 31 33 34 35 36 40 42 45 51 60 then fail if F eq 0 then if A eq 34 then pwr 17 1 2 set F 1 endif endif if G eq 0 then if A in 11 33 then div A 11 B pwr B 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 10000 then timeout rand 4 cjr 3 4 mu 2 3 5 ord 5 D if D notin 10 12 15 16 18 24 28 30 31 33 34 35 36 40 & 42 45 51 60 then fail if D noteq 15 then jmp CONJUGATE oup 2 2 3