Studies of Euler diagrams/clans/tables/4

The BF are ordered by the set partitions that describe their symmetry. The set {0...15} is partitioned into blocks. Singletons (blocks with a single element) are ignored.

• no symmetry (no blocks, i.e. only singletons)
• blocks of size 2: block sizes 4*2, block sizes 6*2, block sizes 8*2
• blocks of size 2 and 4 (with subpage block sizes 4*2 + 1*4)
• block sizes 4*3

bamako

W C 38504 7 1 38504 &4_4 4 38504 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) 11 4 38654 &3_3 3 38654 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 3, 1) (2, 0, 3, 1) (1, 2, 3, 0) (2, 1, 3, 0) (0, 3, 1, 2) (1, 3, 0, 2) (0, 3, 2, 1) (2, 3, 0, 1) (1, 3, 2, 0) (2, 3, 1, 0) (3, 0, 1, 2) (3, 1, 0, 2) (3, 0, 2, 1) (3, 2, 0, 1) (3, 1, 2, 0) (3, 2, 1, 0) 40814 (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 1, 2, 3) (1, 0, 2, 3) (0, 3, 2, 1) (3, 0, 2, 1) (1, 3, 2, 0) (3, 1, 2, 0) (0, 2, 1, 3) (1, 2, 0, 3) (0, 2, 3, 1) (3, 2, 0, 1) (1, 2, 3, 0) (3, 2, 1, 0) (2, 0, 1, 3) (2, 1, 0, 3) (2, 0, 3, 1) (2, 3, 0, 1) (2, 1, 3, 0) (2, 3, 1, 0) 46970 (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (0, 2, 1, 3) (2, 0, 1, 3) (0, 3, 1, 2) (3, 0, 1, 2) (2, 3, 1, 0) (3, 2, 1, 0) (0, 1, 2, 3) (2, 1, 0, 3) (0, 1, 3, 2) (3, 1, 0, 2) (2, 1, 3, 0) (3, 1, 2, 0) (1, 0, 2, 3) (1, 2, 0, 3) (1, 0, 3, 2) (1, 3, 0, 2) (1, 2, 3, 0) (1, 3, 2, 0) 55164 (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) (1, 2, 0, 3) (2, 1, 0, 3) (1, 3, 0, 2) (3, 1, 0, 2) (2, 3, 0, 1) (3, 2, 0, 1) (1, 0, 2, 3) (2, 0, 1, 3) (1, 0, 3, 2) (3, 0, 1, 2) (2, 0, 3, 1) (3, 0, 2, 1) (0, 1, 2, 3) (0, 2, 1, 3) (0, 1, 3, 2) (0, 3, 1, 2) (0, 2, 3, 1) (0, 3, 2, 1) 11 6 40945 &2_2 2 40945 (0, 1, 2, 3) (1, 0, 2, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 1, 3) (1, 2, 0, 3) (0, 3, 1, 2) (1, 3, 0, 2) (2, 0, 1, 3) (2, 1, 0, 3) (3, 0, 1, 2) (3, 1, 0, 2) (0, 2, 3, 1) (0, 3, 2, 1) (1, 2, 3, 0) (1, 3, 2, 0) (2, 0, 3, 1) (3, 0, 2, 1) (2, 1, 3, 0) (3, 1, 2, 0) (2, 3, 0, 1) (3, 2, 0, 1) (2, 3, 1, 0) (3, 2, 1, 0) 47053 (0, 2, 1, 3) (2, 0, 1, 3) (0, 2, 3, 1) (2, 0, 3, 1) (0, 1, 2, 3) (2, 1, 0, 3) (0, 3, 2, 1) (2, 3, 0, 1) (1, 0, 2, 3) (1, 2, 0, 3) (3, 0, 2, 1) (3, 2, 0, 1) (0, 1, 3, 2) (0, 3, 1, 2) (2, 1, 3, 0) (2, 3, 1, 0) (1, 0, 3, 2) (3, 0, 1, 2) (1, 2, 3, 0) (3, 2, 1, 0) (1, 3, 0, 2) (3, 1, 0, 2) (1, 3, 2, 0) (3, 1, 2, 0) 48253 (0, 3, 1, 2) (3, 0, 1, 2) (0, 3, 2, 1) (3, 0, 2, 1) (0, 1, 3, 2) (3, 1, 0, 2) (0, 2, 3, 1) (3, 2, 0, 1) (1, 0, 3, 2) (1, 3, 0, 2) (2, 0, 3, 1) (2, 3, 0, 1) (0, 1, 2, 3) (0, 2, 1, 3) (3, 1, 2, 0) (3, 2, 1, 0) (1, 0, 2, 3) (2, 0, 1, 3) (1, 3, 2, 0) (2, 3, 1, 0) (1, 2, 0, 3) (2, 1, 0, 3) (1, 2, 3, 0) (2, 1, 3, 0) 55211 (1, 2, 0, 3) (2, 1, 0, 3) (1, 2, 3, 0) (2, 1, 3, 0) (1, 0, 2, 3) (2, 0, 1, 3) (1, 3, 2, 0) (2, 3, 1, 0) (0, 1, 2, 3) (0, 2, 1, 3) (3, 1, 2, 0) (3, 2, 1, 0) (1, 0, 3, 2) (1, 3, 0, 2) (2, 0, 3, 1) (2, 3, 0, 1) (0, 1, 3, 2) (3, 1, 0, 2) (0, 2, 3, 1) (3, 2, 0, 1) (0, 3, 1, 2) (3, 0, 1, 2) (0, 3, 2, 1) (3, 0, 2, 1) 55931 (1, 3, 0, 2) (3, 1, 0, 2) (1, 3, 2, 0) (3, 1, 2, 0) (1, 0, 3, 2) (3, 0, 1, 2) (1, 2, 3, 0) (3, 2, 1, 0) (0, 1, 3, 2) (0, 3, 1, 2) (2, 1, 3, 0) (2, 3, 1, 0) (1, 0, 2, 3) (1, 2, 0, 3) (3, 0, 2, 1) (3, 2, 0, 1) (0, 1, 2, 3) (2, 1, 0, 3) (0, 3, 2, 1) (2, 3, 0, 1) (0, 2, 1, 3) (2, 0, 1, 3) (0, 2, 3, 1) (2, 0, 3, 1) 58991 (2, 3, 0, 1) (3, 2, 0, 1) (2, 3, 1, 0) (3, 2, 1, 0) (2, 0, 3, 1) (3, 0, 2, 1) (2, 1, 3, 0) (3, 1, 2, 0) (0, 2, 3, 1) (0, 3, 2, 1) (1, 2, 3, 0) (1, 3, 2, 0) (2, 0, 1, 3) (2, 1, 0, 3) (3, 0, 1, 2) (3, 1, 0, 2) (0, 2, 1, 3) (1, 2, 0, 3) (0, 3, 1, 2) (1, 3, 0, 2) (0, 1, 2, 3) (1, 0, 2, 3) (0, 1, 3, 2) (1, 0, 3, 2) 8 4 48321 &1_1 1 59497 (3, 0, 1, 2) (3, 1, 0, 2) (3, 0, 2, 1) (3, 2, 0, 1) (3, 1, 2, 0) (3, 2, 1, 0) (0, 3, 1, 2) (1, 3, 0, 2) (0, 3, 2, 1) (2, 3, 0, 1) (1, 3, 2, 0) (2, 3, 1, 0) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 3, 1) (2, 0, 3, 1) (1, 2, 3, 0) (2, 1, 3, 0) (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) 59017 (2, 0, 1, 3) (2, 1, 0, 3) (2, 0, 3, 1) (2, 3, 0, 1) (2, 1, 3, 0) (2, 3, 1, 0) (0, 2, 1, 3) (1, 2, 0, 3) (0, 2, 3, 1) (3, 2, 0, 1) (1, 2, 3, 0) (3, 2, 1, 0) (0, 1, 2, 3) (1, 0, 2, 3) (0, 3, 2, 1) (3, 0, 2, 1) (1, 3, 2, 0) (3, 1, 2, 0) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) 55969 (1, 0, 2, 3) (1, 2, 0, 3) (1, 0, 3, 2) (1, 3, 0, 2) (1, 2, 3, 0) (1, 3, 2, 0) (0, 1, 2, 3) (2, 1, 0, 3) (0, 1, 3, 2) (3, 1, 0, 2) (2, 1, 3, 0) (3, 1, 2, 0) (0, 2, 1, 3) (2, 0, 1, 3) (0, 3, 1, 2) (3, 0, 1, 2) (2, 3, 1, 0) (3, 2, 1, 0) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) 48321 (0, 1, 2, 3) (0, 2, 1, 3) (0, 1, 3, 2) (0, 3, 1, 2) (0, 2, 3, 1) (0, 3, 2, 1) (1, 0, 2, 3) (2, 0, 1, 3) (1, 0, 3, 2) (3, 0, 1, 2) (2, 0, 3, 1) (3, 0, 2, 1) (1, 2, 0, 3) (2, 1, 0, 3) (1, 3, 0, 2) (3, 1, 0, 2) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) 6 1 59521 &0_0 0 59521 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0)

domino

W C 32769 2 1 32769 &0_0 0 32769 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) 3 4 32897 &1_1 1 32897 (3, 0, 1, 2) (3, 1, 0, 2) (3, 0, 2, 1) (3, 2, 0, 1) (3, 1, 2, 0) (3, 2, 1, 0) (0, 3, 1, 2) (1, 3, 0, 2) (0, 3, 2, 1) (2, 3, 0, 1) (1, 3, 2, 0) (2, 3, 1, 0) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 3, 1) (2, 0, 3, 1) (1, 2, 3, 0) (2, 1, 3, 0) (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) 34817 (2, 0, 1, 3) (2, 1, 0, 3) (2, 0, 3, 1) (2, 3, 0, 1) (2, 1, 3, 0) (2, 3, 1, 0) (0, 2, 1, 3) (1, 2, 0, 3) (0, 2, 3, 1) (3, 2, 0, 1) (1, 2, 3, 0) (3, 2, 1, 0) (0, 1, 2, 3) (1, 0, 2, 3) (0, 3, 2, 1) (3, 0, 2, 1) (1, 3, 2, 0) (3, 1, 2, 0) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) 40961 (1, 0, 2, 3) (1, 2, 0, 3) (1, 0, 3, 2) (1, 3, 0, 2) (1, 2, 3, 0) (1, 3, 2, 0) (0, 1, 2, 3) (2, 1, 0, 3) (0, 1, 3, 2) (3, 1, 0, 2) (2, 1, 3, 0) (3, 1, 2, 0) (0, 2, 1, 3) (2, 0, 1, 3) (0, 3, 1, 2) (3, 0, 1, 2) (2, 3, 1, 0) (3, 2, 1, 0) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) 49153 (0, 1, 2, 3) (0, 2, 1, 3) (0, 1, 3, 2) (0, 3, 1, 2) (0, 2, 3, 1) (0, 3, 2, 1) (1, 0, 2, 3) (2, 0, 1, 3) (1, 0, 3, 2) (3, 0, 1, 2) (2, 0, 3, 1) (3, 0, 2, 1) (1, 2, 0, 3) (2, 1, 0, 3) (1, 3, 0, 2) (3, 1, 0, 2) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) 5 6 34953 &2_2 2 34953 (2, 3, 0, 1) (3, 2, 0, 1) (2, 3, 1, 0) (3, 2, 1, 0) (2, 0, 3, 1) (3, 0, 2, 1) (2, 1, 3, 0) (3, 1, 2, 0) (0, 2, 3, 1) (0, 3, 2, 1) (1, 2, 3, 0) (1, 3, 2, 0) (2, 0, 1, 3) (2, 1, 0, 3) (3, 0, 1, 2) (3, 1, 0, 2) (0, 2, 1, 3) (1, 2, 0, 3) (0, 3, 1, 2) (1, 3, 0, 2) (0, 1, 2, 3) (1, 0, 2, 3) (0, 1, 3, 2) (1, 0, 3, 2) 41121 (1, 3, 0, 2) (3, 1, 0, 2) (1, 3, 2, 0) (3, 1, 2, 0) (1, 0, 3, 2) (3, 0, 1, 2) (1, 2, 3, 0) (3, 2, 1, 0) (0, 1, 3, 2) (0, 3, 1, 2) (2, 1, 3, 0) (2, 3, 1, 0) (1, 0, 2, 3) (1, 2, 0, 3) (3, 0, 2, 1) (3, 2, 0, 1) (0, 1, 2, 3) (2, 1, 0, 3) (0, 3, 2, 1) (2, 3, 0, 1) (0, 2, 1, 3) (2, 0, 1, 3) (0, 2, 3, 1) (2, 0, 3, 1) 43521 (1, 2, 0, 3) (2, 1, 0, 3) (1, 2, 3, 0) (2, 1, 3, 0) (1, 0, 2, 3) (2, 0, 1, 3) (1, 3, 2, 0) (2, 3, 1, 0) (0, 1, 2, 3) (0, 2, 1, 3) (3, 1, 2, 0) (3, 2, 1, 0) (1, 0, 3, 2) (1, 3, 0, 2) (2, 0, 3, 1) (2, 3, 0, 1) (0, 1, 3, 2) (3, 1, 0, 2) (0, 2, 3, 1) (3, 2, 0, 1) (0, 3, 1, 2) (3, 0, 1, 2) (0, 3, 2, 1) (3, 0, 2, 1) 49345 (0, 3, 1, 2) (3, 0, 1, 2) (0, 3, 2, 1) (3, 0, 2, 1) (0, 1, 3, 2) (3, 1, 0, 2) (0, 2, 3, 1) (3, 2, 0, 1) (1, 0, 3, 2) (1, 3, 0, 2) (2, 0, 3, 1) (2, 3, 0, 1) (0, 1, 2, 3) (0, 2, 1, 3) (3, 1, 2, 0) (3, 2, 1, 0) (1, 0, 2, 3) (2, 0, 1, 3) (1, 3, 2, 0) (2, 3, 1, 0) (1, 2, 0, 3) (2, 1, 0, 3) (1, 2, 3, 0) (2, 1, 3, 0) 52225 (0, 2, 1, 3) (2, 0, 1, 3) (0, 2, 3, 1) (2, 0, 3, 1) (0, 1, 2, 3) (2, 1, 0, 3) (0, 3, 2, 1) (2, 3, 0, 1) (1, 0, 2, 3) (1, 2, 0, 3) (3, 0, 2, 1) (3, 2, 0, 1) (0, 1, 3, 2) (0, 3, 1, 2) (2, 1, 3, 0) (2, 3, 1, 0) (1, 0, 3, 2) (3, 0, 1, 2) (1, 2, 3, 0) (3, 2, 1, 0) (1, 3, 0, 2) (3, 1, 0, 2) (1, 3, 2, 0) (3, 1, 2, 0) 61441 (0, 1, 2, 3) (1, 0, 2, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 1, 3) (1, 2, 0, 3) (0, 3, 1, 2) (1, 3, 0, 2) (2, 0, 1, 3) (2, 1, 0, 3) (3, 0, 1, 2) (3, 1, 0, 2) (0, 2, 3, 1) (0, 3, 2, 1) (1, 2, 3, 0) (1, 3, 2, 0) (2, 0, 3, 1) (3, 0, 2, 1) (2, 1, 3, 0) (3, 1, 2, 0) (2, 3, 0, 1) (3, 2, 0, 1) (2, 3, 1, 0) (3, 2, 1, 0) 9 4 43691 &3_3 3 65281 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 2, 3, 1) (2, 0, 3, 1) (1, 2, 3, 0) (2, 1, 3, 0) (0, 3, 1, 2) (1, 3, 0, 2) (0, 3, 2, 1) (2, 3, 0, 1) (1, 3, 2, 0) (2, 3, 1, 0) (3, 0, 1, 2) (3, 1, 0, 2) (3, 0, 2, 1) (3, 2, 0, 1) (3, 1, 2, 0) (3, 2, 1, 0) 61681 (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 1, 2, 3) (1, 0, 2, 3) (0, 3, 2, 1) (3, 0, 2, 1) (1, 3, 2, 0) (3, 1, 2, 0) (0, 2, 1, 3) (1, 2, 0, 3) (0, 2, 3, 1) (3, 2, 0, 1) (1, 2, 3, 0) (3, 2, 1, 0) (2, 0, 1, 3) (2, 1, 0, 3) (2, 0, 3, 1) (2, 3, 0, 1) (2, 1, 3, 0) (2, 3, 1, 0) 52429 (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (0, 2, 1, 3) (2, 0, 1, 3) (0, 3, 1, 2) (3, 0, 1, 2) (2, 3, 1, 0) (3, 2, 1, 0) (0, 1, 2, 3) (2, 1, 0, 3) (0, 1, 3, 2) (3, 1, 0, 2) (2, 1, 3, 0) (3, 1, 2, 0) (1, 0, 2, 3) (1, 2, 0, 3) (1, 0, 3, 2) (1, 3, 0, 2) (1, 2, 3, 0) (1, 3, 2, 0) 43691 (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0) (1, 2, 0, 3) (2, 1, 0, 3) (1, 3, 0, 2) (3, 1, 0, 2) (2, 3, 0, 1) (3, 2, 0, 1) (1, 0, 2, 3) (2, 0, 1, 3) (1, 0, 3, 2) (3, 0, 1, 2) (2, 0, 3, 1) (3, 0, 2, 1) (0, 1, 2, 3) (0, 2, 1, 3) (0, 1, 3, 2) (0, 3, 1, 2) (0, 2, 3, 1) (0, 3, 2, 1) 15 1 65534 &4_4 4 65534 (0, 1, 2, 3) (1, 0, 2, 3) (0, 2, 1, 3) (2, 0, 1, 3) (1, 2, 0, 3) (2, 1, 0, 3) (0, 1, 3, 2) (1, 0, 3, 2) (0, 3, 1, 2) (3, 0, 1, 2) (1, 3, 0, 2) (3, 1, 0, 2) (0, 2, 3, 1) (2, 0, 3, 1) (0, 3, 2, 1) (3, 0, 2, 1) (2, 3, 0, 1) (3, 2, 0, 1) (1, 2, 3, 0) (2, 1, 3, 0) (1, 3, 2, 0) (3, 1, 2, 0) (2, 3, 1, 0) (3, 2, 1, 0)