/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x + 1 [Q(zeta_3)].

Traces:    [ 6, 3 ]
Density:   [ 0.52662993, 0.96900827 ]
Numer max: [ 7, 74 ]
Numer av:  [ 0.51365932, 3.5888430 ]
Denom max: [ 1, 12 ], [ [], [ <2, 2>, <3, 1> ] ]
Denom LCM: [ 1, 12 ], [ [], [ <2, 2>, <3, 1> ] ]

Character:
( 66, 2, 6, 66*zeta(3)_3, -66*zeta(3)_3 - 66, 21*zeta(3)_3, 21, -21*zeta(3)_3 - 
    21, 3, 3*zeta(3)_3, -3*zeta(3)_3 - 3, 0, 10, 2, -2, 0, 6, 1, -2*zeta(3)_3 - 
    2, 2*zeta(3)_3, -6*zeta(3)_3 - 6, 6*zeta(3)_3, -5*zeta(3)_3 - 5, 5, 
    5*zeta(3)_3, -3*zeta(3)_3 - 4, 4*zeta(3)_3 + 1, -zeta(3)_3 + 3, zeta(3)_3 + 
    4, 3*zeta(3)_3 - 1, -4*zeta(3)_3 - 3, -1, -zeta(3)_3, zeta(3)_3 + 1, 0, 3, 
    2, 2, 0, -2*zeta(3)_3 - 1, zeta(3)_3 + 2, zeta(3)_3 - 1, 2*zeta(3)_3 + 1, 
    -zeta(3)_3 - 2, -zeta(3)_3 + 1, 2, 1, 0, 10*zeta(3)_3, -10*zeta(3)_3 - 10, 
    2*zeta(3)_3, -2*zeta(3)_3 - 2, 2*zeta(3)_3 + 2, -2*zeta(3)_3, 0, 0, 
    zeta(3)_3, -zeta(3)_3 - 1, 1, -zeta(3)_3 - 1, 1, zeta(3)_3, -zeta(3)_3 - 1, 
    zeta(3)_3, 1, -zeta(3)_3, zeta(3)_3 + 1, -1, 0, 1, 1, -1, -6*zeta(3)_3 - 6, 
    6*zeta(3)_3, zeta(3)_3, -zeta(3)_3 - 1, 1, 0, 0, zeta(3)_3, -zeta(3)_3 - 1, 
    -zeta(3)_3, -1, -zeta(3)_3, zeta(3)_3 + 1, zeta(3)_3 + 1, -1,
    0, -3*zeta(3)_3 - 3, 3*zeta(3)_3, 0, 0, 0, 0, 0, 0, 2*zeta(3)_3,
    -2*zeta(3)_3 - 2, 2*zeta(3)_3, -2*zeta(3)_3 - 2, 0, 0, zeta(3)_3 + 1,
    -1, -zeta(3)_3, -2*zeta(3)_3 - 2, 2*zeta(3)_3, zeta(3)_3, -zeta(3)_3
    - 1, 0, 0, -zeta(3)_3 - 1, -zeta(3)_3 - 1, zeta(3)_3, zeta(3)_3,
    -zeta(3)_3, zeta(3)_3 + 1, 0, 0 )
*/

G := PermutationGroup(ATLASGroup("3Suz"));
M :=
GModule(G, [
    Matrix(K, 66, 66,
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]: Check := false) where w := K.1 where K := CyclotomicField(3);
K<w> := BaseRing(M);
K;
M;
