#! /usr/bin/env python3
#
def abc_check ( ):

#*****************************************************************************80
#
## abc_check() checks the norm of the eigenvalues of the abc digraph.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    10 April 2022
#
#  Author:
#
#    John Burkardt
#
  from abc_incidence import abc_incidence
  from transition_from_incidence import transition_from_incidence
  import numpy as np

  A = abc_incidence()
#
#  Compute the transition matrix.
#
  T = transition_from_incidence ( A )
#
#  Request the eigenvalues of T.
#
  val = np.linalg.eigvals ( T )
  print ( val )
#
#  Compute the norms of the eigenvalues.
#
  val_abs = np.abs ( val )
  print ( val_abs )

  return

if ( __name__ == '__main__' ):
  abc_check ( )