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We study the structure of the $RO(G)$-graded homotopy Mackey functors of anyEilenberg-MacLane spectrum $H\underline{M}$ for $G$ a cyclic $p$-group. When$\underline{R}$ is a Green functor, we define orientation classes $u_V$ for$H\underline{R}$ and deduce a generalized gold relation. We deduce the$a_V,u_V$-isomorphism regions of the $RO(G)$-graded homotopy Mackey functorsand prove two induction theorems. As applications, we compute the positive coneof $H\underline{\mathbb{A}}$, as well as the positive and negative cones of$H\underline{\mathbb{Z}}$. The latter two cones are essential to the slicespectral sequences of $MU^{((C_{2^n}))}$ and its variants.

On the structure of the $RO(G)$-graded homotopy of $H\underline{M}$ for cyclic $p$-groups