Q(rt33)
Disc=33
--------------------
n=4

Gram Matrix 
A=
[2,rt33+6,0,0]
[rt33+6,8*rt33+46,0,0]
[0,0,2,rt33+6]
[0,0,rt33+6,8*rt33+46]

h=4

Automorphism group sizes:
[288, 32, 72, 72]

Neighbour Matrices:

N(P)=2

[0 9 0 0]
[1 0 4 4]
[0 9 0 0]
[0 9 0 0]

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

N(P)=3

[ 4  0  4  8]
[ 0 16  0  0]
[ 1  0  9  6]
[ 2  0  6  8]

CharPoly = x(x-1)(x-4)(x-16)^2

N(P)=25

[ 64   0 324 288]
[  0 676   0   0]
[ 81   0 289 306]
[ 72   0 306 298]

CharPoly = (x-1)(x+26)(x-676)^2

N(P)=49

[ 676    0  576 1248]
[   0 2500    0    0]
[ 144    0 1444  912]
[ 312    0  912 1276]

CharPoly = (x-196)(x-700)(x-2500)^2

--------------------
n=8

Gram Matrix
A oplus A

Mass = 2745.14

Too big.