Q(rt11)
Disc=44
--------------------
n=2

Gram Matrix
A=
[2,rt11]
[rt11,6]

h=1

Automorphism group size:
[8]

Trivial case.

--------------------
n=4

Gram Matrix
A oplus A

h=7

Automorphism group sizes:
[128, 1152, 32, 96, 144, 48, 144]

Neighbour Matrices:

N(P)=2

[0 4 1 4 0 0 0]
[1 0 0 0 2 4 2]
[9 0 0 0 0 0 0]
[3 0 0 0 0 6 0]
[0 9 0 0 0 0 0]
[0 6 0 3 0 0 0]
[0 9 0 0 0 0 0]

CharPoly = x(x-9)(x-2)(x+2)(x+9)(x^2-18)

N(P)=9

[36  0  0  0  8 48  8]
[ 0 81  1 18  0  0  0]
[ 0 36 16 48  0  0  0]
[ 0 54  4 42  0  0  0]
[ 9  0  0  0 37 42 12]
[18  0  0  0 14 54 14]
[ 9  0  0  0 12 42 37]

CharPoly = (x-100)^2(x-30)^2(x-25)(x-9)^2

N(P)=5

[ 4  0  0  0  8 16  8]
[ 0 25  1 10  0  0  0]
[ 0 36  0  0  0  0  0]
[ 0 30  0  6  0  0  0]
[ 9  0  0  0  9 18  0]
[ 6  0  0  0  6 18  6]
[ 9  0  0  0  0 18  9]

CharPoly = (x-36)^2(x-9)(x-1)^2(x+6)^2

N(P)=7

[ 0  0 64  0  0  0  0]
[ 0  0  0  0 32  0 32]
[16  0  0  0  8 32  8]
[ 0  0  0  0 16 32 16]
[ 0  4 36 24  0  0  0]
[ 0  0 48 16  0  0  0]
[ 0  4 36 24  0  0  0]

CharPoly = x(x-64)(x-8)(x+8)(x+64)(x^2-512)

N(P)=11

[  0  16  64  64   0   0   0]
[144   0   0   0   0   0   0]
[ 16   0   0   0  32  64  32]
[ 48   0   0   0   0  96   0]
[  0   0 144   0   0   0   0]
[  0   0  96  48   0   0   0]
[  0   0 144   0   0   0   0]

CharPoly = x(x-144)(x-32)(x+32)(x+144)(x^2-4608)

--------------------
n=6

Gram Matrix
A oplus A oplus A

Mass = 1.96

Too big.