## Small Residuated Lattices of order 6.4.68

```list:=[
[# 1
[ 1, 1, 3, 1, 1, 6 ],
[ 1, 2, 3, 2, 2, 6 ],
[ 3, 3, 6, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 2
[ 1, 1, 1, 1, 1, 6 ],
[ 1, 2, 2, 2, 2, 6 ],
[ 1, 2, 5, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 3
[ 1, 1, 3, 1, 1, 6 ],
[ 1, 2, 3, 2, 2, 6 ],
[ 3, 3, 3, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 4
[ 1, 1, 1, 1, 1, 6 ],
[ 1, 2, 3, 2, 2, 6 ],
[ 3, 3, 3, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 5
[ 1, 1, 3, 1, 1, 6 ],
[ 1, 2, 3, 2, 2, 6 ],
[ 1, 3, 3, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 6
[ 1, 1, 1, 1, 1, 6 ],
[ 1, 2, 3, 2, 2, 6 ],
[ 1, 3, 3, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 7
[ 1, 1, 1, 1, 1, 6 ],
[ 1, 2, 2, 2, 2, 6 ],
[ 1, 2, 2, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
],
[# 8
[ 1, 1, 1, 1, 1, 6 ],
[ 1, 1, 1, 2, 2, 6 ],
[ 1, 1, 1, 3, 3, 6 ],
[ 1, 2, 3, 4, 5, 6 ],
[ 1, 2, 3, 5, 5, 6 ],
[ 6, 6, 6, 6, 6, 6 ]
]
];
```

Computed by Peter Jipsen using GAP 4.1 (this list can be copied and read into GAP)