I am sorry... the exact sage-input should of course spell like this:

---- snip ----

L = LatinSquare(Matrix([[-1, -1, -1, 6, -1, 0, -1, -1, 9, -1, -1, 8, 11, -1, 4, -1],
[-1, 8,  4, -1, 15, 10, 0, -1,  2, -1,  6, -1, -1, -1,  3, -1],
[-1, -1,  8, -1, -1, 14,  3,  6, -1, -1,  4, 10,  5,  9, 15, -1],
[-1, -1, -1, -1, 13, -1,  8, 11, 15, -1,  7, -1, -1, -1, -1,  2],
[11, -1,  6, -1, 10,  5, -1,  8, -1, -1,  3, -1,  4, -1, -1,  7],
[-1, -1, -1, 11, 14,  8, -1, -1,  5,  7, 10, -1,  2, -1, -1, -1],
[15, -1, 10, -1, -1, -1,  4, -1, -1, -1, -1, 11, -1,  3, -1, -1],
[-1, -1, -1, -1, -1, -1, -1,  5, -1,  2, 12,  0,  7, 10, 11, 14],
[-1,  2,  3, -1, -1, 13, -1, 12, -1,  1, 14, 15,  0, -1,  8,  9],
[ 3,  5, -1,  4, 11, 12, 10,  1,  0, 14, -1, 13,  9, -1, -1,  6],
[ 7, -1, -1, -1,  9, -1, -1, -1, 10, -1, -1, -1, -1, -1,  0,  5],
[ 9, 10, -1, -1,  2, -1, -1, -1, 14, -1,  0, -1, -1,  5, -1,  4],
[-1, -1, -1, -1, -1,  4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 12],
[14,  4, 12, 15, -1, -1, -1,  2, -1, -1, -1, -1, 13, -1, -1, -1],
[-1, -1, -1, -1,  6, -1, -1,  9, -1,  0,  8,  4, 14, -1, 10, -1],
[-1,  0, 13,  8, -1,  3, -1, 14, 11, 10, -1,  2, 15, -1,  1, -1]]))

L.is_completable()

---- snip ----

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