Tautological ring of M_{g,n}^{ct} is not Gorenstein for g≥2 and 2g+n≥12; Pixton's 3-spin relations are complete for M_6^{ct}, M_{5,2}^{ct}, M_7^{ct}, first such cases without Gorenstein property.
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The Gorenstein property and Pixton's conjecture for compact type moduli
Tautological ring of M_{g,n}^{ct} is not Gorenstein for g≥2 and 2g+n≥12; Pixton's 3-spin relations are complete for M_6^{ct}, M_{5,2}^{ct}, M_7^{ct}, first such cases without Gorenstein property.