Small Residuated Lattices of order 5.1.24
list:=[
[# 1
[ 1, 2, 3, 4, 5 ],
[ 2, 5, 5, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 2
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 5, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 3
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 5, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 4
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 5, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 5
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 4, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 6
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 7
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 4, 4, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 8
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 5, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 9
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 5, 5, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 10
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 4, 5, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 11
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 4, 5, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 12
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 5, 5, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 13
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 14
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 15
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 4, 5, 5 ],
[ 3, 4, 4, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 16
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 3, 5, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 17
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 18
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 19
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 20
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 5, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 21
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 5, 5, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 22
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 4, 4, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 23
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 4, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 24
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 5, 5, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 25
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 26
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 4, 4, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 27
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 5, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 28
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 4, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 29
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 30
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 31
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 4, 5, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 32
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 3, 5, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 4, 4, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 33
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 5, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 4, 4, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 34
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 5, 5 ],
[ 4, 4, 4, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 35
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 4, 4, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 36
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 4, 4, 5, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 37
[ 1, 2, 3, 4, 5 ],
[ 2, 4, 4, 4, 5 ],
[ 3, 4, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 38
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 4, 4, 5 ],
[ 3, 4, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 39
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 4, 4, 5 ],
[ 3, 4, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 40
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 4, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 41
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 4, 4, 5 ],
[ 3, 3, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 42
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 4, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 43
[ 1, 2, 3, 4, 5 ],
[ 2, 3, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
],
[# 44
[ 1, 2, 3, 4, 5 ],
[ 2, 2, 3, 4, 5 ],
[ 3, 3, 3, 4, 5 ],
[ 4, 4, 4, 4, 5 ],
[ 5, 5, 5, 5, 5 ]
]
];
Computed by Peter Jipsen
using GAP 4.1
(this list can be copied and read into GAP)