hppavilion is the generator including, but not limited to, hppavilion[1], hppavilion[2], and hppavilion[42]. hppavilion is of length 37-42i-28j+4k-28ij+38ik+62jk+20ijk. A common alternative definition is the set of all items yielded by the general case of the generator. Not to be confused with hppavilion^k or hppavilion_m.