== 2x2x2x2
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 0, 0)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 0, 1)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 1, 1, 0)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 1, 1)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 1, 1, 1)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 0, 1, 0)], 9, 'W', 3, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 0, 1, 1)], 11, 'W', 3, 'deg f_low', 8, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 1, 1), (0, 1, 0, 1), (1, 0, 0, 1)], 12, 'W', 4, 'deg f_low', 8, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0, 0), (0, 0, 1, 1), (1, 1, 0, 1), (1, 1, 1, 0)], 12, 'W', 2, 'deg f_low', 8, 'deg-low==W', False, 'unimodular', False, 'f_low monomial', True)
== 2x2x4
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (1, 1, 0)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 0, 3)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 1, 3)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 0, 3)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 1, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 0, 3)], 6, 'W', 3, 'deg f_low', 3, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', False)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 1, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 0, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 1, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2), (1, 1, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 3), (1, 1, 2)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 1, 0)], 8, 'W', 3, 'deg f_low', 5, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 1, 3), (1, 0, 2)], 8, 'W', 3, 'deg f_low', 5, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', False)
== 2x3x3
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 2, 0)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 2, 0)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 2, 2), (1, 0, 0)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 2, 1)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 2, 1)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 2, 0)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 0, 0)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 0, 1)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 2, 2)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 2, 2)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 2, 2), (1, 0, 2)], 6, 'W', 3, 'deg f_low', 3, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', False)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 0)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 2)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 2), (1, 2, 2)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 2, 1)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 1, 1)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 2, 2)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 1), (1, 2, 2)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 2, 0)], 8, 'W', 3, 'deg f_low', 5, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2), (1, 2, 2)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 1)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 2), (1, 2, 2)], 8, 'W', 3, 'deg f_low', 5, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', False)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 2), (1, 2, 0)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 2, 0), (1, 2, 2)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (1, 0, 0), (1, 1, 1), (1, 2, 2)], 8, 'W', 2, 'deg f_low', 6, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
== 2x2x5
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (0, 0, 4), (1, 1, 0)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (0, 1, 0), (1, 0, 4)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (0, 1, 4), (1, 1, 4)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 0, 3), (1, 0, 4)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (0, 1, 4), (1, 1, 3)], 4, 'W', 2, 'deg f_low', 2, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (0, 1, 0), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (0, 1, 4), (1, 0, 4)], 6, 'W', 3, 'deg f_low', 3, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', False)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (1, 1, 0), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (0, 1, 3), (1, 0, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (0, 1, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 0, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 1, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 0, 4), (1, 1, 3)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 1, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 1, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 0, 3), (1, 0, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 0, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 0, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 1, 3), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
([(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 1, 3), (1, 0, 4), (1, 1, 4)], 6, 'W', 2, 'deg f_low', 4, 'deg-low==W', True, 'unimodular', True, 'f_low monomial', True)
