An ultrasonic liquefaction endodontic system having a graspable hand piece includes a contra-angle tip assembly that has an insert and an internal fluid flow passageway. In particular, the apparatus and are implemented with overflowunderflow possible check circuitry that determines if a mathematical operation between a first exponent signal and a second exponent signal creates a potential overflow condition. The high-grade photoresist of the first color filters includes a first amount of large size pigments in one unit area and the low-grade photoresists of the second color filters and the third color filters include a second amount of large size pigments in one unit area. The conductive material may be located below an upper surface of the solid dielectric material. The business layer contains business model objects. The transponder associates uplink antennae to an uplink service area, the number of antennae being determined by a preset Figure of Merit for each uplink service area.