code: def spectral_projection(u, eigenpairs):
      """
      Returns the coefficients of each eigenvector
      in a projection of the vector u onto the normalized
      eigenvectors which are contained in eigenpairs.
  
      eigenpairs should be a list of two objects.  The
      first is a list of eigenvalues and the second a list
      of eigenvectors.  The eigenvectors should be lists.
  
      There's not a lot of error checking on lengths of
      arrays, etc. so be careful.
      """
      coeff = []
      evect = eigenpairs[1]
      for ev in evect:
          c = sum(evv * uv for (evv, uv) in zip(ev, u))
          coeff.append(c)
      return coeff
  
imports: from math import sqrt
  import networkx
  from networkx.utils import py_random_state
label_desc: Use image node_id 22 for calling a global function with example usage: spectral_projection(u, eigenpairs) and returns: coeff