The Lattice A22
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 13:09:40 CEST 2014
INDEX FILE 
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE

NAME
A22

DIMENSION
22

DET
23

DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 23

MINIMAL_NORM
2

KISSING_NUMBER
506

GROUP_ORDER
51704033477769953280000

GROUP_NAME
C2 x S23 = C2 x W(A22)

GROUP_GENERATORS
2
22
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1
22
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0

BASIS
22 23
.100000000000E+01 .100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .100000000000E+01 .100000000000E+01
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.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
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.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
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.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
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .100000000000E+01 .100000000000E+01
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.000000000000E+00 .000000000000E+00 .100000000000E+01
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.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
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.000000000000E+00 .100000000000E+01 .100000000000E+01
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.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
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.000000000000E+00 .000000000000E+00 .000000000000E+00
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.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
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.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
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.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.100000000000E+01 .100000000000E+01

GLUE_VECTORS
23
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .434782608696E01 .434782608696E01
.434782608696E01 .956521739130E+00
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.869565217391E01 .869565217391E01 .869565217391E01
.913043478261E+00 .913043478261E+00
.130434782609E+00 .130434782609E+00 .130434782609E+00
.130434782609E+00 .130434782609E+00 .130434782609E+00
.130434782609E+00 .130434782609E+00 .130434782609E+00
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.521739130435E+00 .521739130435E+00 .521739130435E+00
.521739130435E+00 .521739130435E+00
.521739130435E+00 .521739130435E+00 .521739130435E+00
.521739130435E+00 .521739130435E+00 .521739130435E+00
.521739130435E+00 .521739130435E+00 .521739130435E+00
.521739130435E+00 .521739130435E+00 .478260869565E+00
.478260869565E+00 .478260869565E+00 .478260869565E+00
.478260869565E+00 .478260869565E+00 .478260869565E+00
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.478260869565E+00 .478260869565E+00
.565217391304E+00 .565217391304E+00 .565217391304E+00
.565217391304E+00 .565217391304E+00 .565217391304E+00
.565217391304E+00 .565217391304E+00 .565217391304E+00
.565217391304E+00 .434782608696E+00 .434782608696E+00
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GRAM
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PROPERTIES
INTEGRAL =1

LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe