The Lattice D4
An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University
(nebe@math.rwth-aachen.de)
and
Neil J. A. Sloane
(njasloane@gmail.com)
Last modified Fri Jul 18 13:13:21 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
DENSITY
HERMITE_NUMBER
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
DIVISORS
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
LAST_LINE
-
NAME
D4
-
DIMENSION
4
-
DET
4
-
MINIMAL_NORM
2
-
KISSING_NUMBER
24
-
DENSITY
.125000000000E+00
-
HERMITE_NUMBER
.141421356237E+01
-
BASIS
4 4
.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00
.100000000000E+01 -.100000000000E+01 .000000000000E+00
.000000000000E+00
.000000000000E+00 .100000000000E+01 -.100000000000E+01
.000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
-.100000000000E+01
-
GLUE_VECTORS
4
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.500000000000E+00 .500000000000E+00 .500000000000E+00
.500000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.100000000000E+01
.500000000000E+00 .500000000000E+00 .500000000000E+00
-.500000000000E+00
-
TRIANGULAR_BASIS
4 4
.200000000000E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00
.100000000000E+01 -.100000000000E+01 .000000000000E+00
.000000000000E+00
.000000000000E+00 .100000000000E+01 -.100000000000E+01
.000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
-.100000000000E+01
-
GRAM
4 4
2 0 1 0
0 2 -1 0
1 -1 2 -1
0 0 -1 2
-
DIVISORS
1 1 2 2
-
GROUP_ORDER
1152
-
GROUP_NAME
W(F4)
-
GROUP_GENERATORS
2
4
-1 1 -1 -1
-1 0 0 0
0 -1 1 0
0 -1 0 1
4
0 1 -1 -1
0 0 0 -1
-1 1 0 -1
0 -1 0 0
-
PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe