<v, Krein array>
<120, [ 32, 81/7, 384/49, 1, 288/49, 144/7 ]>

P =
[ 1  7 28 84]
[ 1  4  1 -6]
[ 1 -1 -4  4]
[ 1 -3  8 -6]

Q =
[    1    32    63    24]
[    1 128/7    -9 -72/7]
[    1   8/7    -9  48/7]
[    1 -16/7     3 -12/7]

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

    [0 7 0 0]
    [1 2 4 0]
    [0 1 0 6]
    [0 0 2 5],

    [ 0  0 28  0]
    [ 0  4  0 24]
    [ 1  0  9 18]
    [ 0  2  6 20],

    [ 0  0  0 84]
    [ 0  0 24 60]
    [ 0  6 18 60]
    [ 1  5 20 58]
]

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

    [     0     32      0      0]
    [     1  136/7   81/7      0]
    [     0 288/49  128/7 384/49]
    [     0      0  144/7   80/7],

    [    0     0    63     0]
    [    0  81/7    36 108/7]
    [    1 128/7    30  96/7]
    [    0 144/7    36  45/7],

    [     0      0      0     24]
    [     0      0  108/7   60/7]
    [     0 384/49   96/7 120/49]
    [     1   80/7   45/7   36/7]
]