code: def multiply_deg_two_one_poly(
      a: torch.Tensor, b: torch.Tensor
  ) -> torch.Tensor:
      r"""Multiply two polynomials a and b of degrees two and one [@nister2004efficient].
  
      Args:
          a: a second degree poly for variables :math:`(x^2, x*y, x*z, x, y^2, y*z, y, z^2, z, 1)`.
          b: a first degree poly for variables :math:`(x y z 1)`.
  
      Returns:
          a third degree poly for variables,
          :math:`(x^3, y^3, x^2*y, x*y^2, x^2*z, x^2, y^2*z, y^2,
          x*y*z, x*y, x*z^2, x*z, x, y*z^2, y*z, y, z^3, z^2, z, 1)`.
      """
  
      return stack(
          [
              a[:, 0] * b[:, 0],
              a[:, 4] * b[:, 1],
              a[:, 0] * b[:, 1] + a[:, 1] * b[:, 0],
              a[:, 1] * b[:, 1] + a[:, 4] * b[:, 0],
              a[:, 0] * b[:, 2] + a[:, 2] * b[:, 0],
              a[:, 0] * b[:, 3] + a[:, 3] * b[:, 0],
              a[:, 4] * b[:, 2] + a[:, 5] * b[:, 1],
              a[:, 4] * b[:, 3] + a[:, 6] * b[:, 1],
              a[:, 1] * b[:, 2] + a[:, 2] * b[:, 1] + a[:, 5] * b[:, 0],
              a[:, 1] * b[:, 3] + a[:, 3] * b[:, 1] + a[:, 6] * b[:, 0],
              a[:, 2] * b[:, 2] + a[:, 7] * b[:, 0],
              a[:, 2] * b[:, 3] + a[:, 3] * b[:, 2] + a[:, 8] * b[:, 0],
              a[:, 3] * b[:, 3] + a[:, 9] * b[:, 0],
              a[:, 5] * b[:, 2] + a[:, 7] * b[:, 1],
              a[:, 5] * b[:, 3] + a[:, 6] * b[:, 2] + a[:, 8] * b[:, 1],
              a[:, 6] * b[:, 3] + a[:, 9] * b[:, 1],
              a[:, 7] * b[:, 2],
              a[:, 7] * b[:, 3] + a[:, 8] * b[:, 2],
              a[:, 8] * b[:, 3] + a[:, 9] * b[:, 2],
              a[:, 9] * b[:, 3],
          ],
          dim=-1,
      )
  
file_path: kornia/kornia/geometry/solvers/polynomial_solver.py
imports: import math
  import torch
  from kornia.core import Tensor, cos, ones_like, stack, zeros, zeros_like
  from kornia.core.check import KORNIA_CHECK_SHAPE
label_desc: Use image node_id 4 for calling a global function with example usage: multiply_deg_two_one_poly(a, b) and returns: stack