code: def test_dup_decompose():
      assert dup_decompose([1], ZZ) == [[1]]
  
      assert dup_decompose([1, 0], ZZ) == [[1, 0]]
      assert dup_decompose([1, 0, 0, 0], ZZ) == [[1, 0, 0, 0]]
  
      assert dup_decompose([1, 0, 0, 0, 0], ZZ) == [
          [1, 0, 0],
          [1, 0, 0],
      ]
      assert dup_decompose([1, 0, 0, 0, 0, 0, 0], ZZ) == [
          [1, 0, 0, 0],
          [1, 0, 0],
      ]
  
      assert dup_decompose([7, 0, 0, 0, 1], ZZ) == [
          [7, 0, 1],
          [1, 0, 0],
      ]
      assert dup_decompose([4, 0, 3, 0, 2], ZZ) == [
          [4, 3, 2],
          [1, 0, 0],
      ]
  
      f = [1, 0, 20, 0, 150, 0, 500, 0, 625, -2, 0, -10, 9]
  
      assert dup_decompose(f, ZZ) == [[1, 0, 0, -2, 9], [1, 0, 5, 0]]
  
      f = [2, 0, 40, 0, 300, 0, 1000, 0, 1250, -4, 0, -20, 18]
  
      assert dup_decompose(f, ZZ) == [[2, 0, 0, -4, 18], [1, 0, 5, 0]]
  
      f = [
          1,
          0,
          20,
          -8,
          150,
          -120,
          524,
          -600,
          865,
          -1034,
          600,
          -170,
          29,
      ]
  
      assert dup_decompose(f, ZZ) == [
          [1, -8, 24, -34, 29],
          [1, 0, 5, 0],
      ]
  
      R, t = ring("t", ZZ)
      f = [
          6 * t**2 - 42,
          48 * t**2 + 96,
          144 * t**2 + 648 * t + 288,
          624 * t**2 + 864 * t + 384,
          108 * t**3 + 312 * t**2 + 432 * t + 192,
      ]
  
      assert dup_decompose(f, R.to_domain()) == [f]
  
imports: from sympy.polys.densebasic import dup_normal, dmp_normal, dup_from_raw_dict, dmp_convert, dmp_swap
  from sympy.polys.densearith import dmp_mul_ground
  from sympy.polys.densetools import dup_clear_denoms, dmp_clear_denoms, dup_integrate, dmp_integrate, dmp_integrate_in, dup_diff, dmp_diff, dmp_diff_in, dup_eval, dmp_eval, dmp_eval_in, dmp_eval_tail, dmp_diff_eval_in, dup_trunc, dmp_trunc, dmp_ground_trunc, dup_monic, dmp_ground_monic, dup_content, dmp_ground_content, dup_primitive, dmp_ground_primitive, dup_extract, dmp_ground_extract, dup_real_imag, dup_mirror, dup_scale, dup_shift, dup_transform, dup_compose, dmp_compose, dup_decompose, dmp_lift, dup_sign_variations, dup_revert, dmp_revert
  from sympy.polys.polyclasses import ANP
  from sympy.polys.polyerrors import MultivariatePolynomialError, ExactQuotientFailed, NotReversible, DomainError
  from sympy.polys.specialpolys import f_polys
  from sympy.polys.domains import FF, ZZ, QQ, EX
  from sympy.polys.rings import ring
  from sympy.core.numbers import I
  from sympy.core.singleton import S
  from sympy.functions.elementary.trigonometric import sin
  from sympy.abc import x
  from sympy.testing.pytest import raises
label_desc: Use image node_id 32 for calling a global function with example usage: test_dup_decompose() without return types