The Lattice A3
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 13:09:52 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
BASIS
GLUE_VECTORS
MINVECS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE
-
NAME
A3
-
DIMENSION
3
-
DET
.400000000000E+01
-
MINIMAL_NORM
.200000000000E+01
-
KISSING_NUMBER
12
-
GROUP_ORDER
48
-
BASIS
3 4
.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
.250000000000E+00 .250000000000E+00 .250000000000E+00
-.750000000000E+00
.500000000000E+00 .500000000000E+00 -.500000000000E+00
-.500000000000E+00
.750000000000E+00 -.250000000000E+00 -.250000000000E+00
-.250000000000E+00
-
MINVECS
9 12.00000000
.000000000000E+00 -.816497000000E+00 .115470100000E+01
.000000000000E+00
.816497000000E+00 -.115470100000E+01 -.707107000000E+00
.122474500000E+01
.000000000000E+00 .707107000000E+00 -.122474500000E+01
.000000000000E+00
-.707107000000E+00 .408248000000E+00 .115470100000E+01
.707107000000E+00
-.408248000000E+00 -.115470100000E+01 .141421400000E+01
.000000000000E+00
.000000000000E+00 -.141421400000E+01 .000000000000E+00
.000000000000E+00
.707107000000E+00 .122474500000E+01 .000000000000E+00
-.707107000000E+00
-.122474500000E+01 .000000000000E+00 .707107000000E+00
.408248000000E+00
.115470100000E+01 -.707107000000E+00 -.408248000000E+00
-.115470100000E+01
-
TRIANGULAR_BASIS
3 3
.141421356237E+01 .000000000000E+00 .000000000000E+00
-.707106781187E+00 .122474487139E+01 .000000000000E+00
.000000000000E+00 -.816496580928E+00 .115470053838E+01
-
GRAM
3 3
2 -1 0
-1 2 -1
0 -1 2
-
PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe