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
|