Best Known Lattice Coverings in Dimension 1--24

Dim Covering density for lattice Lattice
1 1
Z = (A1)*
2 1.209199
A2 = (A2)*
3 1.463505
(A3)*
4 1.765529
(A4)*
5 2.124286
(A5)*
6 2.464801
L6c1
7 2.900024
L7c
8 3.142202
L8c
9 4.268575
L9c
10 5.154463
L10c
11 5.505591
L11c
12 7.465518
L12c
13 7.762108
L13c
14 8.825210
L14c
15 11.004951
L15c
16 15.310927
(A16)*
17 12.357468
A17[6]
18 21.840949
(A18)*
19 21.229200
A19[10]
20 20.366828
A20[7]
21 27.773140
A21[11]
22 <= 27.8839
(LAMBDA22)*
23 <= 15.3218
(LAMBDA23)*
24 7.903536
LAMBDA24