Double parameterization

So I have a set of tests where I'd like to test multiple versions of a solution. Currently I have

import pytest

import product_not_at_index


functions_to_test = [
    product_not_at_index.product_not_at_index_n_squared,
    product_not_at_index.product_not_at_index,
]

def run_test(function_input, expected_result, test_func):
    actual_result = test_func(function_input)
    assert actual_result == expected_result

@pytest.mark.parametrize("test_func", functions_to_test)
def test_empty_list(test_func):
    input_data = []
    expected_result = []
    run_test(input_data, expected_result, test_func)

@pytest.mark.parametrize("test_func", functions_to_test)
def test_single_item(test_func):
    input_data = [1]
    expected_result = [1]
    run_test(input_data, expected_result, test_func)

@pytest.mark.parametrize("test_func", functions_to_test)
def test_one_times_one(test_func):
    input_data = [1, 1]
    expected_result = [1, 1]
    run_test(input_data, expected_result, test_func)

@pytest.mark.parametrize("test_func", functions_to_test)
def test_normal_use_case(test_func):
    input_data = [1, 7, 3, 4]
    expected_result = [84, 12, 28, 21]
    run_test(input_data, expected_result, test_func)

And this works great. But looking at my solution I see that all of my tests have the same basic set of code. How can I parameterize a function twice so that I can just have a single test function and stop repeating myself?

I thought that I could do something like

import pytest

import product_not_at_index


functions_to_test = [product_not_at_index.product_not_at_index_n_squared]
test_data = [
    [], [],
    [1], [1],
    [1, 1], [1, 1],
    [1, 7, 3, 4],  [84, 12, 28, 21],
]

@pytest.mark.parametrize("function_input,expected_result", test_data)
@pytest.mark.parametrize("test_func", functions_to_test)
def test_run(function_input, expected_result, test_func):
    actual_result = test_func(function_input)
    assert actual_result == expected_result

but that just returns this error

E   assert 0 == 2
E    +  where 0 = len([])
E    +  and   2 = len(['function_input', 'expected_result'])