The Lattice P7.1
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 13:25:09 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
BASIS
GLUE_VECTORS
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
P7.1
-
DIMENSION
7
-
DET
.200000000000E+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
-
PROPERTIES
INTEGRAL =1
-
NOTES
One of the perfect 7-dimensional lattices.
This is E7.
-
REFERENCES
Conway & Sloane, Low-dimensional lattices III: perfect forms,
Proc. Royal Soc. A 418 (1988), 43-80.
Jaquet, Enumeration complete des classes de formes parfaites en dimension 7,
Ann. Inst. Fourier 43 (1993), 21-55.
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe