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

Views: 418346
Generators: X Y T;
Weights:    1 1 1;
Limiting weight: 6;

Parameters: c_1 c_2 c_3 c_4;

Relations:

2 [[Y,X],Y] + c_2 [Y, X];

[[Y,X],X] + c_1 [Y, X] + [T,Y] + c_4 Y;

[T,X] + c_3 Y;