The Lattice Bring8
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 13:12:08 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
DENSITY
HERMITE_NUMBER
TRIANGULAR_BASIS
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
Bring8
-
DIMENSION
8
-
DET
1
-
MINIMAL_NORM
.149341170000E+01
-
KISSING_NUMBER
20
-
DENSITY
.194302430194E-01
-
HERMITE_NUMBER
.149341170000E+01
-
TRIANGULAR_BASIS
8 8
.174693554437E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.873467772187E+00 .151289056020E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.873467772187E+00 .504296853401E+00 .142636689908E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.873467772187E+00 .504296853401E+00 .356591724771E+00
.138107381143E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
-.153321676916E+01 .885203114399E+00 .625933124919E+00
.484845713730E+00 .724074261435E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 -.177040622880E+01 .625933124919E+00
.484845713730E+00 -.181018565359E+00 .701081888989E+00
.000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 -.187779937476E+01
.484845713730E+00 -.181018565359E+00 -.233693962996E+00
.660986343828E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.193938285492E+01 -.181018565359E+00 -.233693962996E+00
-.330493171914E+00 .572430965310E+00
-
GRAM
8 8
.305178379620E+01 .152589189810E+01 .152589189810E+01
.152589189810E+01 -.267843087127E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00
.152589189810E+01 .305178379620E+01 .152589189810E+01
.152589189810E+01 .000000000000E+00 -.267843087127E+01
.000000000000E+00 .000000000000E+00
.152589189810E+01 .152589189810E+01 .305178379620E+01
.152589189810E+01 .000000000000E+00 .000000000000E+00
-.267843087127E+01 .000000000000E+00
.152589189810E+01 .152589189810E+01 .152589189810E+01
.305178379620E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 -.267843087127E+01
-.267843087127E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .428548939403E+01 -.107137234851E+01
-.107137234851E+01 -.107137234851E+01
.000000000000E+00 -.267843087127E+01 .000000000000E+00
.000000000000E+00 -.107137234851E+01 .428548939403E+01
-.107137234851E+01 -.107137234851E+01
.000000000000E+00 .000000000000E+00 -.267843087127E+01
.000000000000E+00 -.107137234851E+01 -.107137234851E+01
.428548939403E+01 -.107137234851E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.267843087127E+01 -.107137234851E+01 -.107137234851E+01
-.107137234851E+01 .428548939403E+01
-
PROPERTIES
INTEGRAL=0
-
NOTES
Comes from Riemann surface of Bring's curve. My ref Latt 69 p 174
-
REFERENCES
M. Bernstein & N. J. A. Sloane, Some Lattices Obtained from Riemann Surfaces,
in Recent Progress in Riemann Surfaces, ed. J. Quine, Amer. Math. Soc.
Providence, RI 1997 to appear
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe