code: def test_int_columns_and_index(self):
      df = pd.DataFrame(
          {"a": [1, 2, 3]}, index=pd.Index([3, 4, 5], name="test")
      )
      self.check_round_trip(df)
  
imports: import numpy
  import pytest
  import pandas
  import pandas._testing
  from pandas.core.arrays import ArrowStringArray, StringArray
  from pandas.io.feather_format import read_feather, to_feather
label_desc: Use image node_id 16 for calling the TestFeather obj's underlying member method code with example usage: obj.test_int_columns_and_index() without return types