A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers

We prove in particular that the Gorenstein numerical semigroup ring generated by (36,48,50,52,56,60,66,67,107,121,129,135)(36,48,50,52,56,60,66,67,107,121,129,135) has a transcendental series of Betti numbers. The methods of proofs are the theory of Golod homomorphism, large maps and the theory of infinite positively graded Lie algebras.