/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + 1 [Q(zeta_4)].
Schur index 2 (rational character).

Traces:    [ 0, 4 ]
Density:   [ 0.98551653, 0.98380166 ]
Numer max: [ 175, 125 ]
Numer av:  [ 6.3549173, 6.3998554 ]
Denom max: [ 264, 264 ], [ [ <2, 3>, <3, 1>, <11, 1> ],
	   [ <2, 3>, <3, 1>, <11, 1> ] ]
Denom LCM: [ 792, 792 ], [ [ <2, 3>, <3, 2>, <11, 1> ],
	   [ <2, 3>, <3, 2>, <11, 1> ] ]

Character:
( 220, -220, -12, 12, -50, 4, 4, 0, 20, -20, 0, 0, -10, 0, 50, -4, 6, -6, -4, 
    -6, -6, 6, 6, 0, 0, -4, 0, 0, -2, 2, 0, -2, -2, 10, 0, 2, -2, 0, -2, 2, 2, 
    -2, 0, 0, 0, 0, -1, -1, 4, -1, -1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 
    0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1 )
*/

G:=PermutationGroup(ATLASGroup("2Suz"));

M:=
GModule(G, [
    Matrix(K, 220, 220,
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]: Check := false) where w := K.1 where K := CyclotomicField(4);
K<w> := BaseRing(M);
K;
M;
