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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 z;
Parameter: t;
Limiting weight: 26;
Relations:

[[x,y],x] - 2 x;
[[x,y],y] + 2 y;

[y,z];
[[x,y],z] + 6 z;
[x,[x,[x,[x,[x,[x,[x,z]]]]]]];

2 [[x,z],[x,[x,z]]] - [z,[x,[x,[x,z]]]] - 2160 t z;
9 [[x,[x,z]],[x,[x,[x,z]]]] - 5 [[x,z], [x,[x,[x,[x,z]]]]] -
 6480 t [x,[x,z]] - 777600 t^2 y;
[z,[z,[x,z]]];
7 [[x,[x,[x,z]]],[z,[x,z]]] - 6 [[x,[x,z]],[z,[x,[x,z]]]];
[[x,z],[[x,z],z]].