/*
Generated by Allan Steel in Magma, 2010.

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

Traces:    [ -52, 0 ]
Density:   [ 0.0049019608, 0.71417243 ]
Numer max: [ 1, 2 ]
Numer av:  [ 0.0024509804, 0.52906334 ]
Denom max: [ 1, 8 ], [ [], [ <2, 3> ] ]
Denom LCM: [ 1, 8 ], [ [], [ <2, 3> ] ]

Character:
( 204, -52, 12, 12, 0, 12, -4, -4, 14, 14, -6, -6, 4, -4, 0, 0, 0, 0, 0, 0, -2, 
-2, -2, -2, -2, -2, 2, 2, 0, -4, -4, -4, -4, -3, -3, -3, -3, 2, 2, 0, 0, 0, 0, 
0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 
-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 )
*/

G := PermutationGroup(ATLASGroup("U54"));
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 204, 204, [
    <1, 1, -1>,  <2, 2, -1>,  <3, 3, -1>,  <4, 4, -1>,  <5, 5, -1>,  <6, 6, -1>,
    <7, 7, -1>,  <8, 8, -1>,  <9, 9, 1>,  <10, 10, 1>,  <11, 11, 1>,  <12, 12, 
    1>,  <13, 13, -1>,  <14, 14, -1>,  <15, 15, -1>,  <16, 16, -1>,  <17, 17, 
    1>,  <18, 18, 1>,  <19, 19, 1>,  <20, 20, 1>,  <21, 21, 1>,  <22, 22, 1>,  
    <23, 23, 1>,  <24, 24, 1>,  <25, 25, -1>,  <26, 26, -1>,  <27, 27, -1>,  
    <28, 28, -1>,  <29, 29, 1>,  <30, 30, 1>,  <31, 31, 1>,  <32, 32, 1>,  <33, 
    33, -1>,  <34, 34, -1>,  <35, 35, -1>,  <36, 36, -1>,  <37, 37, 1>,  <38, 
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    <54, 54, -1>,  <55, 55, -1>,  <56, 56, -1>,  <57, 57, 1>,  <58, 58, 1>,  
    <59, 59, 1>,  <60, 60, 1>,  <61, 61, -1>,  <62, 62, -1>,  <63, 63, -1>,  
    <64, 64, -1>,  <65, 65, 1>,  <66, 66, 1>,  <67, 67, 1>,  <68, 68, 1>,  <69, 
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    -1>,  <75, 75, -1>,  <76, 76, -1>,  <77, 77, 1>,  <78, 78, 1>,  <79, 79, 1>,
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]: Check := false) where w := K.1 where K := CyclotomicField(3);
K<w>:=BaseRing(M);
K;
M;
