/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x + 2 [optimized Q(sqrt-7)].

Traces:    [ -24, w ]
Density:   [ 0.59016450, 0.83995076 ]
Numer max: [ 6, 20 ]
Numer av:  [ 0.41821415, 3.4700934 ]
Denom max: [ 14, 98 ], [ [ <2, 1>, <7, 1> ], [ <2, 1>, <7, 2> ] ]
Denom LCM: [ 14, 98 ], [ [ <2, 1>, <7, 1> ], [ <2, 1>, <7, 2> ] ]
*/

G := PSp(6, 7);
M :=
GModule(G, [
    Matrix(K, 171, 171,
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]: Check := false) where w := K.1 where K := ext<K|Polynomial(K, [2, 1, 1])> where K is 
RationalField();
K<w> := BaseRing(M);
K;
M;
