Q(rt37)
Disc=37
--------------------
n=4

Gram Matrix
A=

[4,2,-2,-rt37]
[2,2,-1,1/2*(-rt37-1)]
[-2,-1,2,1/2*(rt37+1)]
[-rt37,1/2*(-rt37-1),1/2*(rt37+1),10]

h=3

Automorphism group size:
[576, 72, 36]

Neighbour Matrices:

N(P)=4

[ 1  8 16]
[ 1  8 16]
[ 1  8 16]

CharPoly = x^2(x-25)

N(P)=3

[ 0  0 16]
[ 0  4 12]
[ 1  6  9]

CharPoly = (x-16)(x-1)(x+4)

N(P)=25

[100 320 256]
[ 40 284 352]
[ 16 176 484]

CharPoly = (x-676)(x-156)(x-36)

N(P)=7

[16 32 16]
[ 4 32 28]
[ 1 14 49]

CharPoly = (x-64)(x-24)(x-9)

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

Gram Matrix
A oplus A

Mass = 7418.98

Too big.