<v, Krein array>
<300, [ 39, 30, 4, 1, 5, 36 ]>

P =
[  1  78 117 104]
[  1  18  -3 -16]
[  1  -2  -3   4]
[  1 -12  27 -16]

Q =
[  1  39 234  26]
[  1   9  -6  -4]
[  1  -1  -6   6]
[  1  -6   9  -4]

L = 
[
    [1 0 0 0]
    [0 1 0 0]
    [0 0 1 0]
    [0 0 0 1],

    [ 0 78  0  0]
    [ 1 28 33 16]
    [ 0 22 24 32]
    [ 0 12 36 30],

    [  0   0 117   0]
    [  0  33  36  48]
    [  1  24  60  32]
    [  0  36  36  45],

    [  0   0   0 104]
    [  0  16  48  40]
    [  0  32  32  40]
    [  1  30  45  28]
]

L* =
[
    [1 0 0 0]
    [0 1 0 0]
    [0 0 1 0]
    [0 0 0 1],

    [ 0 39  0  0]
    [ 1  8 30  0]
    [ 0  5 30  4]
    [ 0  0 36  3],

    [  0   0 234   0]
    [  0  30 180  24]
    [  1  30 183  20]
    [  0  36 180  18],

    [ 0  0  0 26]
    [ 0  0 24  2]
    [ 0  4 20  2]
    [ 1  3 18  4]
]