The following are the "distinct" solutions followed by their
permutations. ie: Each uncommented set is the "first found"
representative of its class and is followed by all the other
permutations in its class. Each permutation represents a mirror,
a rotation, or a combination relative to the "first" in its class:

(7,3),(6,1),(5,6),(4,2),(3,5),(2,7),(1,4),(0,0),
(7,2),(6,5),(5,3),(4,1),(3,7),(2,4),(1,6),(0,0), (permutation)
(7,0),(6,6),(5,4),(4,7),(3,1),(2,3),(1,5),(0,2), (permutation)
(7,0),(6,4),(5,7),(4,5),(3,2),(2,6),(1,1),(0,3), (permutation)
(7,7),(6,3),(5,0),(4,2),(3,5),(2,1),(1,6),(0,4), (permutation)
(7,7),(6,1),(5,3),(4,0),(3,6),(2,4),(1,2),(0,5), (permutation)
(7,5),(6,2),(5,4),(4,6),(3,0),(2,3),(1,1),(0,7), (permutation)
(7,4),(6,6),(5,1),(4,5),(3,2),(2,0),(1,3),(0,7), (permutation)

(7,4),(6,1),(5,3),(4,6),(3,2),(2,7),(1,5),(0,0),
(7,2),(6,4),(5,1),(4,7),(3,5),(2,3),(1,6),(0,0), (permutation)
(7,0),(6,6),(5,3),(4,5),(3,7),(2,1),(1,4),(0,2), (permutation)
(7,7),(6,2),(5,0),(4,5),(3,1),(2,4),(1,6),(0,3), (permutation)
(7,0),(6,5),(5,7),(4,2),(3,6),(2,3),(1,1),(0,4), (permutation)
(7,7),(6,1),(5,4),(4,2),(3,0),(2,6),(1,3),(0,5), (permutation)
(7,5),(6,3),(5,6),(4,0),(3,2),(2,4),(1,1),(0,7), (permutation)
(7,3),(6,6),(5,4),(4,1),(3,5),(2,0),(1,2),(0,7), (permutation)

(7,4),(6,6),(5,0),(4,2),(3,7),(2,5),(1,3),(0,1),
(7,4),(6,1),(5,5),(4,0),(3,6),(2,3),(1,7),(0,2), (permutation)
(7,6),(6,4),(5,2),(4,0),(3,5),(2,7),(1,1),(0,3), (permutation)
(7,5),(6,0),(5,4),(4,1),(3,7),(2,2),(1,6),(0,3), (permutation)
(7,2),(6,7),(5,3),(4,6),(3,0),(2,5),(1,1),(0,4), (permutation)
(7,1),(6,3),(5,5),(4,7),(3,2),(2,0),(1,6),(0,4), (permutation)
(7,3),(6,6),(5,2),(4,7),(3,1),(2,4),(1,0),(0,5), (permutation)
(7,3),(6,1),(5,7),(4,5),(3,0),(2,2),(1,4),(0,6), (permutation)

(7,3),(6,5),(5,7),(4,2),(3,0),(2,6),(1,4),(0,1),
(7,4),(6,7),(5,3),(4,0),(3,6),(2,1),(1,5),(0,2), (permutation)
(7,5),(6,2),(5,6),(4,1),(3,7),(2,4),(1,0),(0,3), (permutation)
(7,1),(6,4),(5,6),(4,0),(3,2),(2,7),(1,5),(0,3), (permutation)
(7,6),(6,3),(5,1),(4,7),(3,5),(2,0),(1,2),(0,4), (permutation)
(7,2),(6,5),(5,1),(4,6),(3,0),(2,3),(1,7),(0,4), (permutation)
(7,3),(6,0),(5,4),(4,7),(3,1),(2,6),(1,2),(0,5), (permutation)
(7,4),(6,2),(5,0),(4,5),(3,7),(2,1),(1,3),(0,6), (permutation)

(7,2),(6,5),(5,7),(4,0),(3,3),(2,6),(1,4),(0,1),
(7,3),(6,7),(5,0),(4,4),(3,6),(2,1),(1,5),(0,2), (permutation)
(7,1),(6,4),(5,6),(4,3),(3,0),(2,7),(1,5),(0,2), (permutation)
(7,2),(6,5),(5,1),(4,6),(3,4),(2,0),(1,7),(0,3), (permutation)
(7,5),(6,2),(5,6),(4,1),(3,3),(2,7),(1,0),(0,4), (permutation)
(7,6),(6,3),(5,1),(4,4),(3,7),(2,0),(1,2),(0,5), (permutation)
(7,4),(6,0),(5,7),(4,3),(3,1),(2,6),(1,2),(0,5), (permutation)
(7,5),(6,2),(5,0),(4,7),(3,4),(2,1),(1,3),(0,6), (permutation)

(7,4),(6,2),(5,7),(4,3),(3,6),(2,0),(1,5),(0,1),
(7,5),(6,3),(5,1),(4,7),(3,4),(2,6),(1,0),(0,2), (permutation)
(7,5),(6,7),(5,1),(4,3),(3,0),(2,6),(1,4),(0,2), (permutation)
(7,6),(6,2),(5,7),(4,1),(3,4),(2,0),(1,5),(0,3), (permutation)
(7,1),(6,5),(5,0),(4,6),(3,3),(2,7),(1,2),(0,4), (permutation)
(7,2),(6,0),(5,6),(4,4),(3,7),(2,1),(1,3),(0,5), (permutation)
(7,2),(6,4),(5,6),(4,0),(3,3),(2,1),(1,7),(0,5), (permutation)
(7,3),(6,5),(5,0),(4,4),(3,1),(2,7),(1,2),(0,6), (permutation)

(7,4),(6,6),(5,3),(4,0),(3,2),(2,7),(1,5),(0,1),
(7,4),(6,0),(5,3),(4,5),(3,7),(2,1),(1,6),(0,2), (permutation)
(7,6),(6,2),(5,0),(4,5),(3,7),(2,4),(1,1),(0,3), (permutation)
(7,5),(6,1),(5,6),(4,0),(3,2),(2,4),(1,7),(0,3), (permutation)
(7,2),(6,6),(5,1),(4,7),(3,5),(2,3),(1,0),(0,4), (permutation)
(7,1),(6,5),(5,7),(4,2),(3,0),(2,3),(1,6),(0,4), (permutation)
(7,3),(6,7),(5,4),(4,2),(3,0),(2,6),(1,1),(0,5), (permutation)
(7,3),(6,1),(5,4),(4,7),(3,5),(2,0),(1,2),(0,6), (permutation)

(7,3),(6,0),(5,4),(4,7),(3,5),(2,2),(1,6),(0,1),
(7,3),(6,6),(5,4),(4,2),(3,0),(2,5),(1,7),(0,1), (permutation)
(7,1),(6,6),(5,2),(4,5),(3,7),(2,4),(1,0),(0,3), (permutation)
(7,1),(6,7),(5,5),(4,0),(3,2),(2,4),(1,6),(0,3), (permutation)
(7,6),(6,0),(5,2),(4,7),(3,5),(2,3),(1,1),(0,4), (permutation)
(7,6),(6,1),(5,5),(4,2),(3,0),(2,3),(1,7),(0,4), (permutation)
(7,4),(6,1),(5,3),(4,5),(3,7),(2,2),(1,0),(0,6), (permutation)
(7,4),(6,7),(5,3),(4,0),(3,2),(2,5),(1,1),(0,6), (permutation)

(7,2),(6,5),(5,3),(4,0),(3,7),(2,4),(1,6),(0,1),
(7,1),(6,6),(5,4),(4,7),(3,0),(2,3),(1,5),(0,2), (permutation)
(7,4),(6,0),(5,7),(4,5),(3,2),(2,6),(1,1),(0,3), (permutation)
(7,4),(6,6),(5,1),(4,5),(3,2),(2,0),(1,7),(0,3), (permutation)
(7,3),(6,1),(5,6),(4,2),(3,5),(2,7),(1,0),(0,4), (permutation)
(7,3),(6,7),(5,0),(4,2),(3,5),(2,1),(1,6),(0,4), (permutation)
(7,6),(6,1),(5,3),(4,0),(3,7),(2,4),(1,2),(0,5), (permutation)
(7,5),(6,2),(5,4),(4,7),(3,0),(2,3),(1,1),(0,6), (permutation)

(7,5),(6,3),(5,6),(4,0),(3,7),(2,1),(1,4),(0,2),
(7,4),(6,2),(5,0),(4,6),(3,1),(2,7),(1,5),(0,3), (permutation)
(7,3),(6,5),(5,7),(4,1),(3,6),(2,0),(1,2),(0,4), (permutation)
(7,2),(6,4),(5,1),(4,7),(3,0),(2,6),(1,3),(0,5), (permutation)

(7,5),(6,1),(5,6),(4,0),(3,3),(2,7),(1,4),(0,2),
(7,4),(6,6),(5,0),(4,3),(3,1),(2,7),(1,5),(0,2), (permutation)
(7,5),(6,3),(5,0),(4,4),(3,7),(2,1),(1,6),(0,2), (permutation)
(7,5),(6,2),(5,0),(4,6),(3,4),(2,7),(1,1),(0,3), (permutation)
(7,2),(6,5),(5,7),(4,1),(3,3),(2,0),(1,6),(0,4), (permutation)
(7,2),(6,4),(5,7),(4,3),(3,0),(2,6),(1,1),(0,5), (permutation)
(7,3),(6,1),(5,7),(4,4),(3,6),(2,0),(1,2),(0,5), (permutation)
(7,2),(6,6),(5,1),(4,7),(3,4),(2,0),(1,3),(0,5), (permutation)

(7,3),(6,6),(5,0),(4,7),(3,4),(2,1),(1,5),(0,2),
(7,3),(6,1),(5,6),(4,4),(3,0),(2,7),(1,5),(0,2), (permutation)
(7,2),(6,5),(5,7),(4,0),(3,4),(2,6),(1,1),(0,3), (permutation)
(7,2),(6,5),(5,1),(4,4),(3,7),(2,0),(1,6),(0,3), (permutation)
(7,5),(6,2),(5,6),(4,3),(3,0),(2,7),(1,1),(0,4), (permutation)
(7,5),(6,2),(5,0),(4,7),(3,3),(2,1),(1,6),(0,4), (permutation)
(7,4),(6,6),(5,1),(4,3),(3,7),(2,0),(1,2),(0,5), (permutation)
(7,4),(6,1),(5,7),(4,0),(3,3),(2,6),(1,2),(0,5), (permutation)

__________________________________________________________
Below are listed the unique solutions, together with their
solution # (as discovered) minus all their permutations
i.e.: only the first discovered permutation is listed:

1: (#0): 
(7,3),(6,1),(5,6),(4,2),(3,5),(2,7),(1,4),(0,0),
2: (#1): 
(7,4),(6,1),(5,3),(4,6),(3,2),(2,7),(1,5),(0,0),
3: (#4): 
(7,4),(6,6),(5,0),(4,2),(3,7),(2,5),(1,3),(0,1),
4: (#5): 
(7,3),(6,5),(5,7),(4,2),(3,0),(2,6),(1,4),(0,1),
5: (#6): 
(7,2),(6,5),(5,7),(4,0),(3,3),(2,6),(1,4),(0,1),
6: (#7): 
(7,4),(6,2),(5,7),(4,3),(3,6),(2,0),(1,5),(0,1),
7: (#8): 
(7,4),(6,6),(5,3),(4,0),(3,2),(2,7),(1,5),(0,1),
8: (#9): 
(7,3),(6,0),(5,4),(4,7),(3,5),(2,2),(1,6),(0,1),
9: (#10): 
(7,2),(6,5),(5,3),(4,0),(3,7),(2,4),(1,6),(0,1),
10: (#13): 
(7,5),(6,3),(5,6),(4,0),(3,7),(2,1),(1,4),(0,2),
11: (#16): 
(7,5),(6,1),(5,6),(4,0),(3,3),(2,7),(1,4),(0,2),
12: (#17): 
(7,3),(6,6),(5,0),(4,7),(3,4),(2,1),(1,5),(0,2),