Bailey-pair methods yield floor((r+4)/2) modular Nahm sums for C(D_r)^{-1}, confirming Sun–Wang’s zero-vector identity and partial companions.
Andrews, The Theory of Partitions, Addison-Wesley, 1976; Reissued Cambridge, 1998
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Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$
Bailey-pair methods yield floor((r+4)/2) modular Nahm sums for C(D_r)^{-1}, confirming Sun–Wang’s zero-vector identity and partial companions.