(2, 3, 5) tower bottom -2 published -2 | summands (length, bottom degree) [] published [] MATCH
(2, 3, 7) tower bottom 0 published 0 | summands (length, bottom degree) [(1, Fraction(0, 1))] published [(1, 0)] MATCH
(3, 5, 7) tower bottom -2 published -2 | summands (length, bottom degree) [(1, Fraction(-2, 1)), (1, Fraction(0, 1)), (1, Fraction(0, 1))] published [(1, -2), (1, 0), (1, 0)] MATCH
(2, 3, 11) tower bottom -2 published -2 | summands (length, bottom degree) [(1, Fraction(-2, 1))] published [(1, -2)] MATCH
