The Lattice E7
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 13:15:54 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
HERMITE_NUMBER
BASIS
GLUE_VECTORS
GRAM
DIVISORS
GROUP_ORDER
GROUP_NAME
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
E7
-
DIMENSION
7
-
DET
2
-
MINIMAL_NORM
2
-
KISSING_NUMBER
126
-
HERMITE_NUMBER
.181144732853E+01
-
BASIS
7 8
-.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 -.100000000000E+01 .100000000000E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 -.100000000000E+01
.100000000000E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 -.100000000000E+01 .100000000000E+01
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 -.100000000000E+01
.100000000000E+01 .000000000000E+00
.500000000000E+00 .500000000000E+00 .500000000000E+00
.500000000000E+00 -.500000000000E+00 -.500000000000E+00
-.500000000000E+00 -.500000000000E+00
-
GLUE_VECTORS
2
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.250000000000E+00 .250000000000E+00 .250000000000E+00
.250000000000E+00 .250000000000E+00 .250000000000E+00
-.750000000000E+00 -.750000000000E+00
-
GRAM
7 7
2 -1 0 0 0 0 0
-1 2 -1 0 0 0 0
0 -1 2 -1 0 0 0
0 0 -1 2 -1 0 -1
0 0 0 -1 2 -1 0
0 0 0 0 -1 2 0
0 0 0 -1 0 0 2
-
DIVISORS
1 1 1 1 1 1 2
-
GROUP_ORDER
2903040
-
GROUP_NAME
W(E7)
-
PROPERTIES
INTEGRAL =1
-
NOTES
x in E8 with sum x(i) = 0
-
REFERENCES
SPLAG p. 124.
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe