Clear[a, b, c, d, e, f, g, h, i, j, G];

\(a = 11\/57; b = 20\/57; c = \(3 \@ 6\)\/19; 
d = \(50 \@ 6\)\/513; 
    e = \(35 \@ 6\)\/1026; f = \(-\(8\/171\)\); g = \(8 \@ 6\)\/513; 
    h = \(-\(\(11 \@ 6\)\/513\)\); 
i = \(-\(\(7 \@ 6\)\/513\)\); 
    j = \(-\(\(41 \@ 6\)\/1026\)\); \)

\(G[0, 0] = {{a, b, c}, {0, 0, 0}, {0, 0, 0}}; 

    G[1, 0] = {{b, b, 0}, {0, 0, 0}, {0, 0, 0}}; 

    G[2, 0] = {{a, 0, 0}, {0, a, 0}, {0, i, 1/9}}; 

    G[3, 0] = {{0, 0, 0}, {0, 0, 0}, {i, h, f}}; 

    G[4, 0] = {{0, 0, 0}, {0, 0, 0}, {j, h, 1/9}}; 

    G[5, 0] = {{0, 0, 0}, {0, 0, 0}, {i, i, 0}}; 

    G[0, 1] = {{b, b, 0}, {0, 0, 0}, {0, 0, 0}}; 

    G[1, 1] = {{b, 0, 0}, {0, b, c}, {0, j, f}}; 

    G[2, 1] = {{0, 0, 0}, {b, b, 0}, {h, g, 2/9}}; 

    G[3, 1] = {{0, 0, 0}, {0, 0, 0}, {g, e, 2/9}}; 

    G[4, 1] = {{0, 0, 0}, {0, 0, 0}, {g, g, f}}; 

    G[5, 1] = {{0, 0, 0}, {0, 0, 0}, {h, j, 0}}; 

    G[0, 2] = {{a, 0, 0}, {0, a, 0}, {0, i, 1/9}}; 

    G[1, 2] = {{0, 0, 0}, {b, b, 0}, {h, g, 2/9}}; 

    G[2, 2] = {{0, 0, 0}, {b, a, 0}, {e, d, 1/3}}; 

    G[3, 2] = {{0, 0, 0}, {0, 0, 0}, {d, d, 2/9}}; 

    G[4, 2] = {{0, 0, 0}, {0, 0, 0}, {e, g, 1/9}}; 

    G[5, 2] = {{0, 0, 0}, {0, 0, 0}, {h, i, 0}}; 

    G[0, 3] = {{0, 0, 0}, {0, 0, 0}, {i, h, f}}; 

    G[1, 3] = {{0, 0, 0}, {0, 0, 0}, {g, e, 2/9}}; 

    G[2, 3] = {{0, 0, 0}, {0, 0, 0}, {d, d, 2/9}}; 

    G[3, 3] = {{0, 0, 0}, {0, 0, 0}, {d, e, f}}; 

    G[4, 3] = {{0, 0, 0}, {0, 0, 0}, {g, h, 0}}; 

    G[5, 3] = {{0, 0, 0}, {0, 0, 0}, {i, 0, 0}}; 

    G[0, 4] = {{0, 0, 0}, {0, 0, 0}, {j, h, 1/9}}; 

    G[1, 4] = {{0, 0, 0}, {0, 0, 0}, {g, g, f}}; 

    G[2, 4] = {{0, 0, 0}, {0, 0, 0}, {e, g, 1/9}}; 

    G[3, 4] = {{0, 0, 0}, {0, 0, 0}, {g, h, 0}}; 

    G[4, 4] = {{0, 0, 0}, {0, 0, 0}, {j, 0, 0}}; 

    G[5, 4] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; 

    G[0, 5] = {{0, 0, 0}, {0, 0, 0}, {i, i, 0}}; 

    G[1, 5] = {{0, 0, 0}, {0, 0, 0}, {h, j, 0}}; 

    G[2, 5] = {{0, 0, 0}, {0, 0, 0}, {h, i, 0}}; 

    G[3, 5] = {{0, 0, 0}, {0, 0, 0}, {i, 0, 0}}; 

    G[4, 5] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; 

    G[5, 5] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; \)