The Lattice A8
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 13:10:02 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE
-
NAME
A8
-
DIMENSION
8
-
DET
.900000000000E+01
-
BASIS
8 9
.100000000000E+01 -.100000000000E+01 .000000000000E+00
.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 .000000000000E+00 .100000000000E+01
-.100000000000E+01 .000000000000E+00 .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
.000000000000E+00 .100000000000E+01 -.100000000000E+01
.000000000000E+00 .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 .000000000000E+00
.100000000000E+01 -.100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .100000000000E+01 -.100000000000E+01
-
GLUE_VECTORS
9
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 -.888888888889E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 -.777777777778E+00 -.777777777778E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
-.666666666667E+00 -.666666666667E+00 -.666666666667E+00
.444444444444E+00 .444444444444E+00 .444444444444E+00
.444444444444E+00 .444444444444E+00 -.555555555556E+00
-.555555555556E+00 -.555555555556E+00 -.555555555556E+00
.555555555556E+00 .555555555556E+00 .555555555556E+00
.555555555556E+00 -.444444444444E+00 -.444444444444E+00
-.444444444444E+00 -.444444444444E+00 -.444444444444E+00
.666666666667E+00 .666666666667E+00 .666666666667E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
.777777777778E+00 .777777777778E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
.888888888889E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-
TRIANGULAR_BASIS
8 8
.141421356237E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
-.707106781187E+00 .122474487139E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 -.816496580928E+00 .115470053838E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 -.866025403784E+00
.111803398875E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.894427191000E+00 .109544511501E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 -.912870929175E+00 .108012344973E+01
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 -.925820099773E+00
.106904496765E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.935414346693E+00 .106066017178E+01
-
GRAM
8 8
2 -1 0 0 0 0 0 0
-1 2 -1 0 0 0 0 0
0 -1 2 -1 0 0 0 0
0 0 -1 2 -1 0 0 0
0 0 0 -1 2 -1 0 0
0 0 0 0 -1 2 -1 0
0 0 0 0 0 -1 2 -1
0 0 0 0 0 0 -1 2
-
PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe