n=6: labelled racks 36538, isomorphism classes 353 (30.8s)
  B3-set classes 338; classes containing >1 rack: 14; sizes [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]
  self-dual classes 351; classes with B3(X) = B3(X^op): 353 of 353
  collision pairs (first rack of each group vs the others): 15; all twists verified: True; pairs not of the form (X, X^op): 14
   pair: NOT dual | quandles: True True | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5)) ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 5, 4), (0, 2, 1, 3, 4, 5), (0, 2, 1, 3, 4, 5))
   pair: NOT dual | quandles: True True | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (1, 0, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5)) ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (1, 0, 2, 3, 4, 5), (1, 0, 2, 3, 4, 5))
   pair: NOT dual | quandles: True True | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (1, 0, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5)) ((0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 5, 4), (1, 0, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4)) ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 2, 1, 3, 4, 5), (0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5)) ((0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (1, 0, 3, 2, 5, 4), (1, 0, 3, 2, 5, 4)) ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (1, 0, 2, 3, 5, 4), (1, 0, 2, 3, 5, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (1, 0, 3, 2, 4, 5), (1, 0, 3, 2, 4, 5)) ((0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5))
   pair: dual-pair | quandles: True True | L self-dual: False | ((0, 1, 2, 3, 4, 5), (0, 1, 3, 4, 5, 2), (0, 3, 2, 5, 1, 4), (0, 4, 5, 3, 2, 1), (0, 5, 1, 2, 4, 3), (0, 2, 4, 1, 3, 5)) ((0, 1, 2, 3, 4, 5), (0, 1, 3, 4, 5, 2), (0, 4, 2, 5, 3, 1), (0, 5, 1, 3, 2, 4), (0, 2, 5, 1, 4, 3), (0, 3, 4, 2, 1, 5))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (1, 0, 3, 2, 5, 4), (1, 0, 3, 2, 5, 4)) ((0, 1, 2, 3, 5, 4), (0, 1, 2, 3, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (1, 0, 2, 3, 5, 4), (1, 0, 2, 3, 5, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((0, 1, 2, 4, 5, 3), (0, 1, 2, 4, 5, 3), (0, 1, 2, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3)) ((0, 1, 2, 4, 5, 3), (0, 1, 2, 4, 5, 3), (0, 1, 2, 4, 5, 3), (1, 2, 0, 5, 3, 4), (1, 2, 0, 5, 3, 4), (1, 2, 0, 5, 3, 4))
   pair: NOT dual | quandles: True True | L self-dual: True | ((0, 1, 3, 2, 5, 4), (0, 1, 4, 5, 2, 3), (3, 4, 2, 0, 1, 5), (2, 5, 0, 3, 4, 1), (5, 2, 1, 3, 4, 0), (4, 3, 2, 1, 0, 5)) ((0, 1, 3, 4, 5, 2), (0, 1, 5, 2, 3, 4), (5, 3, 2, 0, 4, 1), (2, 4, 1, 3, 0, 5), (3, 5, 2, 1, 4, 0), (4, 2, 0, 3, 1, 5))
   pair: NOT dual | quandles: False False | L self-dual: True | ((1, 0, 2, 3, 4, 5), (1, 0, 2, 3, 4, 5), (0, 1, 3, 2, 4, 5), (0, 1, 3, 2, 4, 5), (1, 0, 3, 2, 5, 4), (1, 0, 3, 2, 5, 4)) ((1, 0, 2, 3, 4, 5), (1, 0, 2, 3, 4, 5), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (1, 0, 2, 3, 5, 4), (1, 0, 2, 3, 5, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((1, 0, 2, 3, 4, 5), (1, 0, 2, 3, 4, 5), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (1, 0, 3, 2, 5, 4), (1, 0, 3, 2, 5, 4)) ((1, 0, 2, 3, 5, 4), (1, 0, 2, 3, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4), (0, 1, 3, 2, 5, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3)) ((1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 5, 3, 4), (1, 2, 0, 5, 3, 4), (1, 2, 0, 5, 3, 4))
   pair: NOT dual | quandles: False False | L self-dual: True | ((1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3)) ((1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (1, 2, 0, 4, 5, 3), (2, 0, 1, 5, 3, 4), (2, 0, 1, 5, 3, 4), (2, 0, 1, 5, 3, 4))
  total time 31.8s
