class_docstr: Class to denote a zero dyadic
class_docstr_tok: ["Class","to","denote","a","zero","dyadic"]
code: def __new__(cls):
      obj = BasisDependentZero.__new__(cls)
      return obj
  
imports: from __future__ import annotations
  from sympy.vector.basisdependent import BasisDependent, BasisDependentAdd, BasisDependentMul, BasisDependentZero
  from sympy.core import S, Pow
  from sympy.core.expr import AtomicExpr
  from sympy.matrices.immutable import ImmutableDenseMatrix
  import sympy.vector
label_desc: Use image node_id 1 for calling the DyadicZero obj's underlying member method code with example usage: obj.__new__(cls) and returns: obj