On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix

For e a positive integer, we find restrictions modulo 2e on the coefficients of the characteristic polynomial χS(x) of a Seidel matrix S. We show that, for a Seidel matrix of order n even (resp., odd), there are at most 2(e−2 2) (resp., 2((e−2 2)+1) possibilities for the congruence class of χS(x) mo...

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Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Yatsyna, Pavlo
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/146679
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Institution: Nanyang Technological University
Language: English