x = {{1, 1}, {0, 1}}; y = {{0, 1}, {-1, 0}};
    z = {{i, 1}, {0, -i}};

y.y.y.y
x
x.x
y
x.y
x.x.y
y.x
x.y.x
x.x.y.x
y.x.x
x.y.x.x
x.x.y.x.x
------------------------------------------------------------------------------
x.z.y.x.y.y.y.y
x.z.y.x.x
x.z.y.x.x.x
x.z.y.x.y
x.z.y.x.x.y
x.z.y.x.x.x.y
x.z.y.x.y.x
x.z.y.x.x.y.x
x.z.y.x.x.x.y.x
x.z.y.x.y.x.x
x.z.y.x.x.y.x.x
x.z.y.x.x.x.y.x.x
------------------------------------------------------------------------------
x.z.y.x.x.z.y.x.y.y.y.y
x.z.y.x.x.z.y.x.x
x.z.y.x.x.z.y.x.x.x
x.z.y.x.x.z.y.x.y
x.z.y.x.x.z.y.x.x.y
x.z.y.x.x.z.y.x.x.x.y
x.z.y.x.x.z.y.x.y.x
x.z.y.x.x.z.y.x.x.y.x
x.z.y.x.x.z.y.x.x.x.y.x
x.z.y.x.x.z.y.x.y.x.x
x.z.y.x.x.z.y.x.x.y.x.x
x.z.y.x.x.z.y.x.x.x.y.x.x
------------------------------------------------------------------------------
x.z.y.x.x.z.y.x.x.z.y.x.y.y.y.y
x.z.y.x.x.z.y.x.x.z.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.x
x.z.y.x.x.z.y.x.x.z.y.x.y
x.z.y.x.x.z.y.x.x.z.y.x.x.y
x.z.y.x.x.z.y.x.x.z.y.x.x.x.y
x.z.y.x.x.z.y.x.x.z.y.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.x.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.x.y.x.x
------------------------------------------------------------------------------
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.y.y.y.y
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.y
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.y
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.x.y
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.x.y.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.y.x.x
x.z.y.x.x.z.y.x.x.z.y.x.x.z.y.x.x.x.y.x.x
------------------------------------------------------------------------------
    {{1, 0}, {0, 1}}
    {{1, 1}, {0, 1}}
    {{1, 2}, {0, 1}}
    {{0, 1}, {-1, 0}}
    {{-1, 1}, {-1, 0}}
    {{-2, 1}, {-1, 0}}
    {{0, 1}, {-1, -1}}
    {{-1, 0}, {-1, -1}}
    {{-2, -1}, {-1, -1}}
    {{0, 1}, {-1, -2}}
    {{-1, -1}, {-1, -2}}
    {{-2, -3}, {-1, -2}}
------------------------------------------------------------------------------
    {{-1 + i, -1 + 2 i}, {i, i}}
    {{-1 + i, -2 + 3 i}, {i, 2 i}}
    {{-1 + i, -3 + 4 i}, {i, 3 i}}
    {{1 - 2 i, -1 + i}, {-i, i}}
    {{2 - 3 i, -1 + i}, {-2 i, i}}
    {{3 - 4 i, -1 + i}, {-3 i, i}}
    {{1 - 2 i, -i}, {-i, 0}}
    {{2 - 3 i, 1 - 2 i}, {-2 i, -i}}
    {{3 - 4 i, 2 - 3 i}, {-3 i, -2 i}}
    {{1 - 2 i, 1 - 3 i}, {-i, -i}}
    {{2 - 3 i, 3 - 5 i}, {-2 i, -3 i}}
    {{3 - 4 i, 5 - 7 i}, {-3 i, -5 i}}
------------------------------------------------------------------------------
    {{-2 - 3 i, -3 - 4 i}, {-2 - i, -3 - i}}
    {{-2 - 3 i, -5 - 7 i}, {-2 - i, -5 - 2 i}}
    {{-2 - 3 i, -7 - 10 i}, {-2 - i, -7 - 3 i}}
    {{3 + 4 i, -2 - 3 i}, {3 + i, -2 - i}}
    {{5 + 7 i, -2 - 3 i}, {5 + 2 i, -2 - i}}
    {{7 + 10 i, -2 - 3 i}, {7 + 3 i, -2 - i}}
    {{3 + 4 i, 1 + i}, {3 + i, 1}}
    {{5 + 7 i, 3 + 4 i}, {5 + 2 i, 3 + i}}
    {{7 + 10 i, 5 + 7 i}, {7 + 3 i, 5 + 2 i}}
    {{3 + 4 i, 4 + 5 i}, {3 + i, 4 + i}}
    {{5 + 7 i, 8 + 11 i}, {5 + 2 i, 8 + 3 i}}
    {{7 + 10 i, 12 + 17 i}, {7 + 3 i, 12 + 5 i}}
------------------------------------------------------------------------------
    {{9 - 2 i, 12 - 4 i}, {4 - 4 i, 5 - 6 i}}
    {{9 - 2 i, 21 - 6 i}, {4 - 4 i, 9 - 10 i}}
    {{9 - 2 i, 30 - 8 i}, {4 - 4 i, 13 - 14 i}}
    {{-12 + 4 i, 9 - 2 i}, {-5 + 6 i, 4 - 4 i}}
    {{-21 + 6 i, 9 - 2 i}, {-9 + 10 i, 4 - 4 i}}
    {{-30 + 8 i, 9 - 2 i}, {-13 + 14 i, 4 - 4 i}}
    {{-12 + 4 i, -3 + 2 i}, {-5 + 6 i, -1 + 2 i}}
    {{-21 + 6 i, -12 + 4 i}, {-9 + 10 i, -5 + 6 i}}
    {{-30 + 8 i, -21 + 6 i}, {-13 + 14 i, -9 + 10 i}}
    {{-12 + 4 i, -15 + 6 i}, {-5 + 6 i, -6 + 8 i}}
    {{-21 + 6 i, -33 + 10 i}, {-9 + 10 i, -14 + 16 i}}
    {{-30 + 8 i, -51 + 14 i}, {-13 + 14 i, -22 + 24 i}}
------------------------------------------------------------------------------
    {{-3 + 23 i, -1 + 32 i}, {6 + 13 i, 10 + 17 i}}
    {{-3 + 23 i, -4 + 55 i}, {6 + 13 i, 16 + 30 i}}
    {{-3 + 23 i, -7 + 78 i}, {6 + 13 i, 22 + 43 i}}
    {{1 - 32 i, -3 + 23 i}, {-10 - 17 i, 6 + 13 i}}
    {{4 - 55 i, -3 + 23 i}, {-16 - 30 i, 6 + 13 i}}
    {{7 - 78 i, -3 + 23 i}, {-22 - 43 i, 6 + 13 i}}
    {{1 - 32 i, -2 - 9 i}, {-10 - 17 i, -4 - 4 i}}
    {{4 - 55 i, 1 - 32 i}, {-16 - 30 i, -10 - 17 i}}
    {{7 - 78 i, 4 - 55 i}, {-22 - 43 i, -16 - 30 i}}
    {{1 - 32 i, -1 - 41 i}, {-10 - 17 i, -14 - 21 i}}
    {{4 - 55 i, 5 - 87 i}, {-16 - 30 i, -26 - 47 i}}
    {{7 - 78 i, 11 - 133 i}, {-22 - 43 i, -38 - 73 i}}