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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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Generators: N Y Z K X T;
Limiting weight: 20;
Relations:
[N,Y];
[N,Z];
[N,K];
[Y,K];
[Z,K];
[X,K];
[X,T];
[N,[N,T]];
[N,[N,X]];
[N,[Y,X]];
[N,[Z,X]];
[K,[N,T]];
[Y,[N,T]];
[Z,[N,T]];
[Y,[Y,Z]];
[Z,[Z,Y]];
[X,[X,N]] - [T,[T,N]];
[Y,[Z,X]] + [Z,[Y,X]];
[Y,[Y,X]] - [Z,[Z,X]];
2 [K,T] + [X,[Y,Z]] + 4 [X,[N,X]];
2 [Z,T] + [X,[Y,X]];
2 [Y,T] + [X,[X,Z]];
[[N,T],[N,X]];
[[N,T],[Y,X]] + 2 Y;
[[N,T],[Z,X]] + 2 Z.