code: def _path(from_object, to_object):
      """
      Calculates the 'path' of objects starting from 'from_object'
      to 'to_object', along with the index of the first common
      ancestor in the tree.
  
      Returns (index, list) tuple.
      """
  
      if from_object._root != to_object._root:
          raise ValueError(
              "No connecting path found between "
              + str(from_object)
              + " and "
              + str(to_object)
          )
  
      other_path = []
      obj = to_object
      while obj._parent is not None:
          other_path.append(obj)
          obj = obj._parent
      other_path.append(obj)
      object_set = set(other_path)
      from_path = []
      obj = from_object
      while obj not in object_set:
          from_path.append(obj)
          obj = obj._parent
      index = len(from_path)
      i = other_path.index(obj)
      while i >= 0:
          from_path.append(other_path[i])
          i -= 1
      return index, from_path
  
imports: from sympy.vector.coordsysrect import CoordSys3D
  from sympy.vector.deloperator import Del
  from sympy.vector.scalar import BaseScalar
  from sympy.vector.vector import Vector, BaseVector
  from sympy.vector.operators import gradient, curl, divergence
  from sympy.core.function import diff
  from sympy.core.singleton import S
  from sympy.integrals.integrals import integrate
  from sympy.simplify.simplify import simplify
  from sympy.core import sympify
  from sympy.vector.dyadic import Dyadic
label_desc: Use image node_id 9 for calling a global function with example usage: _path(from_object, to_object) and returns: index,  from_path