gl-e6.in

Generators E_6 for Leites' relations: x y z;
Parameter: t;
Limiting weight: 62;
Relations:

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

[y,z];
[[x,y],z] + 8 z;
[x,[x,[x,[x,[x,[x,[x,[x,[x,z]]]]]]]]];

50 [[x,[x,z]],[x,[x,[x,z]]]] + 14 [z,[x,[x,[x,[x,[x,z]]]]]]
 - 35 [[x,z],[x,[x,[x,[x,z]]]]];
20 [[x,[x,[x,z]]],[x,[x,[x,[x,z]]]]] - 15 [[x,[x,z]],[x,[x,[x,[x,[x,z]]]]]]
 + 7 [[x,z],[x,[x,[x,[x,[x,[x,z]]]]]]] - 14 t^2 y;
[[x,z],[z,[x,z]]];
[[x,[x,z]],[z,[x,z]]];
4 [[x,[x,[x,z]]],[z,[x,z]]] + 7 [[x,z],[[x,z],[x,[x,z]]]];
5 [[x,[x,[x,z]]],[z,[x,[x,z]]]] + [[x,[x,[x,[x,z]]]],[z,[x,z]]];
8 [[x,[x,[x,[x,z]]]],[z,[x,[x,z]]]] + 5 [[x,[x,[x,z]]],[[x,z],[x,[x,z]]]];
3 [[x,[x,[x,[x,z]]]],[[x,z],[x,[x,z]]]]
 + 4 [[x,[x,[x,[x,z]]]],[z,[x,[x,[x,z]]]]];
51 [[x,[x,[x,[x,[x,z]]]]],[[x,z],[x,[x,z]]]]
 + 4 [[x,[x,[x,[x,[x,z]]]]],[z,[x,[x,[x,z]]]]] + 384 t^2 z.