Final answer:
Teotihuacán did not possess a mature, syllabic writing system; this characteristic is associated instead with the Maya civilization, who adopted and perfected the writing system of the Olmec.
Step-by-step explanation:
The characteristic that is NOT a feature of the Teotihuacán state is (d) a mature, syllabic writing system. Teotihuacán was indeed renowned for its complex architecture, careful city planning, and large-scale irrigation. However, unlike other Mesoamerican civilizations such as the Maya who had an elaborate and complex writing system, Teotihuacán did not develop a mature writing system of its own for recording history and genealogies. The Maya civilization, noted for their hieroglyphic script, inherited their writing system from their predecessors, the Olmecs.