code: def aux_J_needed(ctx, xA, xeps4, a, xB1, xM):
      #  DETERMINATION OF  J  THE NUMBER OF TERMS NEEDED
      #            IN THE TAYLOR SERIES OF F.
      #  See II Section 3.11 equation (49))
      #  Only determine one
      h1 = xeps4 / (632 * xA)
      h2 = xB1 * a * 126.31337419529260248  # = pi^2*e^2*sqrt(3)
      h2 = h1 * ctx.power((h2 / xM**2), (xM - 1) / 3) / xM
      h3 = min(h1, h2)
      return h3
  
file_path: catboost/contrib/python/mpmath/py3/mpmath/functions/rszeta.py
imports: import math
  from .functions import defun
label_desc: Use image node_id 4 for calling a global function with example usage: aux_J_needed(ctx, xA, xeps4, a, xB1, xM) and returns: h3