Thompson PSL(2,q), q <= 10^4: 626 groups; q = 2^r: [4, 8, 32, 128, 2048, 8192]  q = 3^r: [27, 243, 2187]  primes: 617 from 7 to 9973
next Thompson prime above 10^4: 10007  mod 16: 7  mod 7: 4  |PSL(2,p)| = 501050730168
  psl2_certs_kourovka.txt: 626 lines, q set equal to Thompson list: True, convention {'K'}
  psl2_certs_other.txt: 626 lines, q set equal to Thompson list: True, convention {'O'}
