The Lattice A10
An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University
(nebe@math.rwthaachen.de)
and
Neil J. A. Sloane
(njasloane@gmail.com)
Last modified Fri Jul 18 13:09:10 CEST 2014
INDEX FILE 
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE

NAME
A10

DIMENSION
10

DET
11

BASIS
10 11
.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00 .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
.000000000000E+00 .000000000000E+00 .100000000000E+01
.100000000000E+01 .000000000000E+00 .000000000000E+00
.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 .000000000000E+00
.000000000000E+00 .100000000000E+01 .100000000000E+01
.000000000000E+00 .000000000000E+00 .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 .000000000000E+00 .000000000000E+00
.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00 .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
.000000000000E+00 .000000000000E+00 .100000000000E+01
.100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.100000000000E+01 .100000000000E+01

GLUE_VECTORS
11
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.909090909091E01 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E+00
.181818181818E+00 .181818181818E+00 .181818181818E+00
.181818181818E+00 .181818181818E+00 .181818181818E+00
.181818181818E+00 .181818181818E+00 .181818181818E+00
.818181818182E+00 .818181818182E+00
.272727272727E+00 .272727272727E+00 .272727272727E+00
.272727272727E+00 .272727272727E+00 .272727272727E+00
.272727272727E+00 .272727272727E+00 .727272727273E+00
.727272727273E+00 .727272727273E+00
.363636363636E+00 .363636363636E+00 .363636363636E+00
.363636363636E+00 .363636363636E+00 .363636363636E+00
.363636363636E+00 .636363636364E+00 .636363636364E+00
.636363636364E+00 .636363636364E+00
.454545454545E+00 .454545454545E+00 .454545454545E+00
.454545454545E+00 .454545454545E+00 .454545454545E+00
.545454545455E+00 .545454545455E+00 .545454545455E+00
.545454545455E+00 .545454545455E+00
.545454545455E+00 .545454545455E+00 .545454545455E+00
.545454545455E+00 .545454545455E+00 .454545454545E+00
.454545454545E+00 .454545454545E+00 .454545454545E+00
.454545454545E+00 .454545454545E+00
.636363636364E+00 .636363636364E+00 .636363636364E+00
.636363636364E+00 .363636363636E+00 .363636363636E+00
.363636363636E+00 .363636363636E+00 .363636363636E+00
.363636363636E+00 .363636363636E+00
.727272727273E+00 .727272727273E+00 .727272727273E+00
.272727272727E+00 .272727272727E+00 .272727272727E+00
.272727272727E+00 .272727272727E+00 .272727272727E+00
.272727272727E+00 .272727272727E+00
.818181818182E+00 .818181818182E+00 .181818181818E+00
.181818181818E+00 .181818181818E+00 .181818181818E+00
.181818181818E+00 .181818181818E+00 .181818181818E+00
.181818181818E+00 .181818181818E+00
.909090909091E+00 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E01 .909090909091E01
.909090909091E01 .909090909091E01

TRIANGULAR_BASIS
10 10
.141421356237E+01 .000000000000E+00 .000000000000E+00
.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
.000000000000E+00
.000000000000E+00 .816496580928E+00 .115470053838E+01
.000000000000E+00 .000000000000E+00 .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 .000000000000E+00 .000000000000E+00
.894427191000E+00 .109544511501E+01 .000000000000E+00
.000000000000E+00 .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
.000000000000E+00 .000000000000E+00 .925820099773E+00
.106904496765E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.935414346693E+00 .106066017178E+01 .000000000000E+00
.000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .942809041582E+00 .105409255339E+01
.000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .948683298051E+00
.104880884817E+01

GRAM
10 10
2 1 0 0 0 0 0 0 0 0
1 2 1 0 0 0 0 0 0 0
0 1 2 1 0 0 0 0 0 0
0 0 1 2 1 0 0 0 0 0
0 0 0 1 2 1 0 0 0 0
0 0 0 0 1 2 1 0 0 0
0 0 0 0 0 1 2 1 0 0
0 0 0 0 0 0 1 2 1 0
0 0 0 0 0 0 0 1 2 1
0 0 0 0 0 0 0 0 1 2

PROPERTIES
INTEGRAL =1

DIVISORS
1 1 1 1 1 1 1 1 1 11

MINIMAL_NORM
2

KISSING_NUMBER
110

GROUP_ORDER
79833600

GROUP_NAME
C2 x S11

GROUP_GENERATORS
2
10
1 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 1
0 0 0 0 1 0 0 0 0 1
0 0 0 0 0 1 0 0 0 1
0 0 0 0 0 0 1 0 0 1
0 0 0 0 0 0 0 1 0 1
0 0 0 0 0 0 0 0 1 1
10
0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 1
0 0 0 0 1 0 0 0 0 1
0 0 0 0 0 1 0 0 0 1
0 0 0 0 0 0 1 0 0 1
0 0 0 0 0 0 0 1 0 1
0 0 0 0 0 0 0 0 1 1

LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe