code: def __mul__(self, other):
      if isinstance(other, DualQuaternion):
          return DualQuaternion(
              self.q0 * other.q0,
              self.q0 * other.qe + self.qe * other.q0,
          )
      elif isinstance(
          other, complex
      ):  # multiplication by a dual number
          return DualQuaternion(
              self.q0 * other.real,
              self.q0 * other.imag + self.qe * other.real,
          )
      else:  # scalar multiplication (assumed)
          return DualQuaternion(other * self.q0, other * self.qe)
  
imports: import numpy
label_desc: Use image node_id 6 for calling the DualQuaternion obj's underlying member method code with example usage: obj.__mul__(other) and returns: DualQuaternion, DualQuaternion, DualQuaternion