code: def test_lll_wrong_delta():
      dummy_matrix = DomainMatrix.ones((3, 3), ZZ)
      for wrong_delta in [
          QQ(-1, 4),
          QQ(0, 1),
          QQ(1, 4),
          QQ(1, 1),
          QQ(100, 1),
      ]:
          raises(
              DMValueError,
              lambda: _ddm_lll(dummy_matrix.rep, delta=wrong_delta),
          )
          raises(
              DMValueError,
              lambda: ddm_lll(dummy_matrix.rep, delta=wrong_delta),
          )
          raises(
              DMValueError,
              lambda: dummy_matrix.rep.lll(delta=wrong_delta),
          )
          raises(
              DMValueError,
              lambda: dummy_matrix.rep.to_sdm().lll(delta=wrong_delta),
          )
          raises(
              DMValueError, lambda: dummy_matrix.lll(delta=wrong_delta)
          )
          raises(
              DMValueError,
              lambda: _ddm_lll(
                  dummy_matrix.rep,
                  delta=wrong_delta,
                  return_transform=True,
              ),
          )
          raises(
              DMValueError,
              lambda: ddm_lll_transform(
                  dummy_matrix.rep, delta=wrong_delta
              ),
          )
          raises(
              DMValueError,
              lambda: dummy_matrix.rep.lll_transform(delta=wrong_delta),
          )
          raises(
              DMValueError,
              lambda: dummy_matrix.rep.to_sdm().lll_transform(
                  delta=wrong_delta
              ),
          )
          raises(
              DMValueError,
              lambda: dummy_matrix.lll_transform(delta=wrong_delta),
          )
  
file_path: sympy/sympy/polys/matrices/tests/test_lll.py
imports: from sympy.polys.domains import ZZ, QQ
  from sympy.polys.matrices import DM
  from sympy.polys.matrices.domainmatrix import DomainMatrix
  from sympy.polys.matrices.exceptions import DMRankError, DMValueError, DMShapeError, DMDomainError
  from sympy.polys.matrices.lll import _ddm_lll, ddm_lll, ddm_lll_transform
  from sympy.testing.pytest import raises
label_desc: Use image node_id 3 for calling a global function with example usage: test_lll_wrong_delta() without return types