Table 1:
Pairs of tableaux in $S_{14}$ satisfying 1--6.

b730d951a6284c	7320b651a94d8c
b730d941a52c68	4320b761a95d8c
b730d841952a6c	43208761ba5d9c
b9510da62c7384	b6210a543987dc
b7510d962a83c4	76210b543a98dc
b710c832d94a56	8410c732b65a9d
da610c7328495b	76510da3294c8b
ba610d7328495c	76510ba3294d8c
b510c732d8496a	5410c832b76a9d
9510b732c84d6a	54109832c76bad
d9510b732c84a6	95410d832c76ba
d9510a732b84c6	a54109832d76cb
d9510a632b74c8	65410a932d87cb
a8410c932b5d67	a5410983276cbd
b7310d952a64c8	b32107654a98dc
a8210c943b5d67	a5210984376cbd