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We present degrees of freedom to accompany the approximation spaces alreadypresented in a companion paper and thus complete the definition of families ofhigh-order conforming finite elements on pyramids for the spaces of the de Rhamcomplex. We prove that the elements are unisolvent; are compatible withconventional tetrahedral and hexahedral elements; satisfy a commuting diagramproperty and contain high-degree polynomials. We also tabulate shape functionsfor each element.

High-order finite elements on pyramids. II: unisolvency and exactness