Dear participants, processing of the square # 31 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 9 A B 6 7
5 3 4 2 0 1 7 8 9 A B 6
B 7 9 8 A 6 5 1 3 2 4 0
A 6 8 7 9 B 0 5 1 3 2 4
9 B 7 6 8 A 4 0 5 1 3 2
6 8 A 9 B 7 1 3 2 4 0 5
4 5 3 1 2 0 B 6 7 8 9 A
3 4 5 0 1 2 9 A B 6 7 8
2 0 1 5 3 4 A B 6 7 8 9
7 9 B A 6 8 3 2 4 0 5 1
8 A 6 B 7 9 2 4 0 5 1 3

has 27472 diagonal transversals and 1037120685 orthogonal mates, like square # 9. And square #31 can be produced from square #9 by rows permutation, also!

Thank you for project attention, support and donation of CPU time!