4X4 Q matrices

 Matrix(4, 4, [[1/2, 1/2, 1/2, 1/2], [1/2, 1/2, -1/2, -1/2], [1/2, -1/2, 1/2, -1/2], [1/2, -1/2, -1/2, 1/2]])
 Matrix(4, 4, [[1/2, 1/6, 1/6, 5/6], [1/2, 1/6, -5/6, -1/6], [1/2, 3/6, 3/6, -3/6], [1/2, -5/6, 1/6, -1/6]])
 Matrix(4, 4, [[1/2, 1/10, 1/2, 7/10], [1/2, -1/10, 1/2, -7/10], [1/2, 7/10, -1/2, -1/10], [1/2, -7/10, -1/2, 1/10]])
 Matrix(4, 4, [[1/5, 2/5, 2/5, 4/5], [2/5, -1/5, 4/5, -2/5], [2/5, 4/5, -1/5, -2/5], [4/5, -2/5, -2/5, 1/5]])
 Matrix(4, 4, [[1/5, 4/7, 2/7, 26/35], [2/5, 4/7, 2/7, -23/35], [2/5, -4/7, 5/7, 2/35], [4/5, -1/7, -4/7, 4/35]])
 Matrix(4, 4, [[1/5, 2/7, 4/7, 26/35], [2/5, 2/7, 4/7, -23/35], [2/5, 5/7, -4/7, 2/35], [4/5, -4/7, -1/7, 4/35]])
 Matrix(4, 4, [[1/5, 2/9, 4/9, 38/45], [2/5, 3/9, 6/9, -24/45], [2/5, -8/9, 2/9, 1/45], [4/5, 2/9, -5/9, 2/45]])
 Matrix(4, 4, [[1/5, 4/9, 2/9, 38/45], [2/5, 2/9, -8/9, 1/45], [2/5, 6/9, 3/9, -24/45], [4/5, -5/9, 2/9, 2/45]])
 Matrix(4, 4, [[1/6, 1/2, 1/6, 5/6], [1/6, 1/2, -5/6, -1/6], [3/6, 1/2, 3/6, -3/6], [5/6, -1/2, -1/6, 1/6]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 1/6, 3/6, 5/6], [1/6, -1/6, -5/6, 3/6], [3/6, 5/6, -1/6, -1/6], [5/6, -3/6, 1/6, -1/6]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 3/10, 5/6, 13/30], [1/6, 9/10, -1/6, -11/30], [3/6, 1/10, -3/6, 21/30], [5/6, -3/10, 1/6, -13/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 1/10, 1/6, 29/30], [1/6, -5/10, -5/6, 5/30], [3/6, -7/10, 3/6, -3/30], [5/6, 5/10, -1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/6, 5/10, 5/6, 5/30], [1/6, -1/10, -1/6, 29/30], [3/6, 7/10, -3/6, -3/30], [5/6, -5/10, 1/6, -5/30]])
 Matrix(4, 4, [[1/7, 4/5, 4/7, 4/35], [4/7, -1/5, 2/7, -26/35], [4/7, 2/5, -5/7, 2/35], [4/7, -2/5, 2/7, 23/35]])
 Matrix(4, 4, [[1/7, 4/7, 4/7, 4/7], [4/7, -1/7, -4/7, 4/7], [4/7, 4/7, -1/7, -4/7], [4/7, -4/7, 4/7, -1/7]])
 Matrix(4, 4, [[1/7, 4/7, 4/5, 4/35], [4/7, 2/7, -1/5, -26/35], [4/7, 2/7, -2/5, 23/35], [4/7, -5/7, 2/5, 2/35]])
 Matrix(4, 4, [[2/7, 1/5, 4/7, 26/35], [2/7, 2/5, 4/7, -23/35], [4/7, -4/5, 1/7, -4/35], [5/7, 2/5, -4/7, 2/35]])
 Matrix(4, 4, [[2/7, 4/7, 1/5, 26/35], [2/7, 4/7, 2/5, -23/35], [4/7, 1/7, -4/5, -4/35], [5/7, -4/7, 2/5, 2/35]])
 Matrix(4, 4, [[2/7, 2/7, 4/7, 5/7], [2/7, -2/7, -5/7, 4/7], [4/7, 5/7, -2/7, -2/7], [5/7, -4/7, 2/7, -2/7]])
 Matrix(4, 4, [[2/9, 1/5, 4/9, 38/45], [2/9, 4/5, -5/9, 2/45], [3/9, 2/5, 6/9, -24/45], [8/9, -2/5, -2/9, -1/45]])
 Matrix(4, 4, [[2/9, 2/9, 3/9, 8/9], [2/9, -2/9, -8/9, 3/9], [3/9, 8/9, -2/9, -2/9], [8/9, -3/9, 2/9, -2/9]])
 Matrix(4, 4, [[2/9, 2/5, 8/9, 1/45], [4/9, 1/5, -2/9, 38/45], [5/9, -4/5, 2/9, -2/45], [6/9, 2/5, -3/9, -24/45]])
 Matrix(4, 4, [[2/9, 2/9, 4/5, 23/45], [4/9, -5/9, 2/5, -26/45], [5/9, -4/9, -2/5, 26/45], [6/9, 6/9, -1/5, -12/45]])
 Matrix(4, 4, [[2/9, 1/13, 8/9, 46/117], [4/9, -10/13, -2/9, 47/117], [5/9, -2/13, 2/9, -92/117], [6/9, 8/13, -3/9, 30/117]])
 Matrix(4, 4, [[1/10, 1/2, 1/2, 7/10], [1/10, -1/2, -1/2, 7/10], [7/10, 1/2, -1/2, -1/10], [7/10, -1/2, 1/2, -1/10]])
 Matrix(4, 4, [[1/10, 1/10, 7/10, 7/10], [1/10, -1/10, 7/10, -7/10], [7/10, 7/10, -1/10, -1/10], [7/10, -7/10, -1/10, 1/10]])
 Matrix(4, 4, [[1/10, 3/6, 3/6, 21/30], [3/10, 1/6, -5/6, 13/30], [3/10, -5/6, 1/6, 13/30], [9/10, 1/6, 1/6, -11/30]])
 Matrix(4, 4, [[1/10, 3/10, 3/10, 9/10], [3/10, -1/10, 9/10, -3/10], [3/10, 9/10, -1/10, -3/10], [9/10, -3/10, -3/10, 1/10]])
 Matrix(4, 4, [[1/10, 1/6, 1/6, 29/30], [5/10, -1/6, 5/6, -5/30], [5/10, 5/6, -1/6, -5/30], [7/10, -3/6, -3/6, 3/30]])
 Matrix(4, 4, [[1/10, 1/10, 7/10, 7/10], [5/10, -5/10, 5/10, -5/10], [5/10, -5/10, -5/10, 5/10], [7/10, 7/10, -1/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, -7/10, 5/10], [5/10, 7/10, -1/10, -5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, 7/10, -5/10], [5/10, -7/10, -1/10, 5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, 7/10, -1/10, -5/10], [5/10, -1/10, -7/10, 5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -7/10, -1/10, 5/10], [5/10, -1/10, 7/10, -5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, -7/10, 5/10], [5/10, 7/10, -1/10, -5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, 7/10, -5/10], [5/10, -7/10, -1/10, 5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, 7/10, -1/10, -5/10], [5/10, -1/10, -7/10, 5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -7/10, -1/10, 5/10], [5/10, -1/10, 7/10, -5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 7/10, 1/10, 7/10], [5/10, 5/10, -5/10, -5/10], [5/10, -5/10, -5/10, 5/10], [7/10, -1/10, 7/10, -1/10]])
 Matrix(4, 4, [[1/10, 7/10, 1/10, 7/10], [5/10, -5/10, -5/10, 5/10], [5/10, 5/10, -5/10, -5/10], [7/10, -1/10, 7/10, -1/10]])
 Matrix(4, 4, [[1/10, 1/10, 7/10, 7/10], [5/10, -5/10, 5/10, -5/10], [5/10, -5/10, -5/10, 5/10], [7/10, 7/10, -1/10, -1/10]])
 Matrix(4, 4, [[1/10, 1/10, 7/10, 7/10], [5/10, -5/10, 5/10, -5/10], [5/10, -5/10, -5/10, 5/10], [7/10, 7/10, -1/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, -7/10, 5/10], [5/10, 7/10, -1/10, -5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, 7/10, -5/10], [5/10, -7/10, -1/10, 5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, 7/10, -1/10, -5/10], [5/10, -1/10, -7/10, 5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -7/10, -1/10, 5/10], [5/10, -1/10, 7/10, -5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, -7/10, 5/10], [5/10, 7/10, -1/10, -5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -1/10, 7/10, -5/10], [5/10, -7/10, -1/10, 5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, 7/10, -1/10, -5/10], [5/10, -1/10, -7/10, 5/10], [7/10, -5/10, 5/10, -1/10]])
 Matrix(4, 4, [[1/10, 5/10, 5/10, 7/10], [5/10, -7/10, -1/10, 5/10], [5/10, -1/10, 7/10, -5/10], [7/10, 5/10, -5/10, -1/10]])
 Matrix(4, 4, [[1/10, 7/10, 1/10, 7/10], [5/10, 5/10, -5/10, -5/10], [5/10, -5/10, -5/10, 5/10], [7/10, -1/10, 7/10, -1/10]])
 Matrix(4, 4, [[1/10, 7/10, 1/10, 7/10], [5/10, -5/10, -5/10, 5/10], [5/10, 5/10, -5/10, -5/10], [7/10, -1/10, 7/10, -1/10]])
 Matrix(4, 4, [[1/11, 4/11, 2/5, 46/55], [2/11, 8/11, 2/5, -29/55], [4/11, 5/11, -4/5, 8/55], [10/11, -4/11, 1/5, -2/55]])
 Matrix(4, 4, [[4/11, 1/11, 2/5, 46/55], [4/11, -10/11, -1/5, 2/55], [5/11, 4/11, -4/5, 8/55], [8/11, 2/11, 2/5, -29/55]])
 Matrix(4, 4, [[1/13, 2/9, 8/9, 46/117], [2/13, -5/9, -2/9, 92/117], [8/13, 6/9, -3/9, 30/117], [10/13, -4/9, 2/9, -47/117]])