The Lattice A17
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 13:09:24 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE
-
NAME
A17
-
DIMENSION
17
-
DET
.180000000000E+02
-
BASIS
17 18
.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 .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 .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
.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 .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 .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
.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 .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 .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
.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 .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 .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
.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 .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 .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
.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 .100000000000E+01 -.100000000000E+01
-
GLUE_VECTORS
18
.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
.555555555556E-01 .555555555556E-01 .555555555556E-01
.555555555556E-01 .555555555556E-01 .555555555556E-01
.555555555556E-01 .555555555556E-01 .555555555556E-01
.555555555556E-01 .555555555556E-01 .555555555556E-01
.555555555556E-01 .555555555556E-01 .555555555556E-01
.555555555556E-01 .555555555556E-01 -.944444444444E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 .111111111111E+00 .111111111111E+00
.111111111111E+00 -.888888888889E+00 -.888888888889E+00
.166666666667E+00 .166666666667E+00 .166666666667E+00
.166666666667E+00 .166666666667E+00 .166666666667E+00
.166666666667E+00 .166666666667E+00 .166666666667E+00
.166666666667E+00 .166666666667E+00 .166666666667E+00
.166666666667E+00 .166666666667E+00 .166666666667E+00
-.833333333333E+00 -.833333333333E+00 -.833333333333E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 .222222222222E+00 .222222222222E+00
.222222222222E+00 .222222222222E+00 -.777777777778E+00
-.777777777778E+00 -.777777777778E+00 -.777777777778E+00
.277777777778E+00 .277777777778E+00 .277777777778E+00
.277777777778E+00 .277777777778E+00 .277777777778E+00
.277777777778E+00 .277777777778E+00 .277777777778E+00
.277777777778E+00 .277777777778E+00 .277777777778E+00
.277777777778E+00 -.722222222222E+00 -.722222222222E+00
-.722222222222E+00 -.722222222222E+00 -.722222222222E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
.333333333333E+00 .333333333333E+00 .333333333333E+00
-.666666666667E+00 -.666666666667E+00 -.666666666667E+00
-.666666666667E+00 -.666666666667E+00 -.666666666667E+00
.388888888889E+00 .388888888889E+00 .388888888889E+00
.388888888889E+00 .388888888889E+00 .388888888889E+00
.388888888889E+00 .388888888889E+00 .388888888889E+00
.388888888889E+00 .388888888889E+00 -.611111111111E+00
-.611111111111E+00 -.611111111111E+00 -.611111111111E+00
-.611111111111E+00 -.611111111111E+00 -.611111111111E+00
.444444444444E+00 .444444444444E+00 .444444444444E+00
.444444444444E+00 .444444444444E+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
.500000000000E+00 .500000000000E+00 .500000000000E+00
.500000000000E+00 .500000000000E+00 .500000000000E+00
.500000000000E+00 .500000000000E+00 .500000000000E+00
-.500000000000E+00 -.500000000000E+00 -.500000000000E+00
-.500000000000E+00 -.500000000000E+00 -.500000000000E+00
-.500000000000E+00 -.500000000000E+00 -.500000000000E+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 -.444444444444E+00 -.444444444444E+00
-.444444444444E+00 -.444444444444E+00 -.444444444444E+00
.611111111111E+00 .611111111111E+00 .611111111111E+00
.611111111111E+00 .611111111111E+00 .611111111111E+00
.611111111111E+00 -.388888888889E+00 -.388888888889E+00
-.388888888889E+00 -.388888888889E+00 -.388888888889E+00
-.388888888889E+00 -.388888888889E+00 -.388888888889E+00
-.388888888889E+00 -.388888888889E+00 -.388888888889E+00
.666666666667E+00 .666666666667E+00 .666666666667E+00
.666666666667E+00 .666666666667E+00 .666666666667E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
-.333333333333E+00 -.333333333333E+00 -.333333333333E+00
.722222222222E+00 .722222222222E+00 .722222222222E+00
.722222222222E+00 .722222222222E+00 -.277777777778E+00
-.277777777778E+00 -.277777777778E+00 -.277777777778E+00
-.277777777778E+00 -.277777777778E+00 -.277777777778E+00
-.277777777778E+00 -.277777777778E+00 -.277777777778E+00
-.277777777778E+00 -.277777777778E+00 -.277777777778E+00
.777777777778E+00 .777777777778E+00 .777777777778E+00
.777777777778E+00 -.222222222222E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
-.222222222222E+00 -.222222222222E+00 -.222222222222E+00
.833333333333E+00 .833333333333E+00 .833333333333E+00
-.166666666667E+00 -.166666666667E+00 -.166666666667E+00
-.166666666667E+00 -.166666666667E+00 -.166666666667E+00
-.166666666667E+00 -.166666666667E+00 -.166666666667E+00
-.166666666667E+00 -.166666666667E+00 -.166666666667E+00
-.166666666667E+00 -.166666666667E+00 -.166666666667E+00
.888888888889E+00 .888888888889E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
-.111111111111E+00 -.111111111111E+00 -.111111111111E+00
.944444444444E+00 -.555555555556E-01 -.555555555556E-01
-.555555555556E-01 -.555555555556E-01 -.555555555556E-01
-.555555555556E-01 -.555555555556E-01 -.555555555556E-01
-.555555555556E-01 -.555555555556E-01 -.555555555556E-01
-.555555555556E-01 -.555555555556E-01 -.555555555556E-01
-.555555555556E-01 -.555555555556E-01 -.555555555556E-01
-
TRIANGULAR_BASIS
17 17
.141421356237E+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
-.707106781187E+00 .122474487139E+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 -.816496580928E+00 .115470053838E+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 -.866025403784E+00
.111803398875E+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
-.894427191000E+00 .109544511501E+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 -.912870929175E+00 .108012344973E+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 -.925820099773E+00
.106904496765E+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
-.935414346693E+00 .106066017178E+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 -.942809041582E+00 .105409255339E+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 -.948683298051E+00
.104880884817E+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
-.953462589246E+00 .104446593573E+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 -.957427107756E+00 .104083299973E+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 -.960768922831E+00
.103774904333E+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
-.963624111659E+00 .103509833901E+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 -.966091783079E+00 .103279555899E+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 -.968245836552E+00
.103077640640E+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
-.970142500145E+00 .102899151086E+01
-
GRAM
17 17
2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0
-1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0
0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0
0
0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0
0
0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0
0
0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0
0
0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0
0
0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0
0
0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0
0
0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0
0
0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0
0
0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0
0
0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0
0
0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0
0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2
-1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
2
-
PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe