A cutting insert includes an end cutting edge, a first major cutting edge, and a second major cutting edge. The height of the end cutting edge relative to an imaginary plane orthogonal to a central axis of a through-hole is fixed. The height of the first major cutting edge relative to the imaginary plane increases, when viewed from a side, moving away from the end cutting edge. The height of the second major cutting edge relative to the imaginary plane decreases, when viewed from a side, moving away from the first major cutting edge. When viewed from a side, the angle of inclination, relative to the imaginary plane, of an imaginary line connecting both ends of the second major cutting edge is greater than an angle of inclination, relative to the imaginary plane, of an imaginary line connecting both ends of the first major cutting edge.

A cutting head for a mill configured to rotate about an axis to remove material from a work piece includes a base surface, a side region connected to the base surface, and a top region connected to the side region. The top region defines a central area and a periphery. A plurality of top teeth are disposed on the top region. The top teeth have cutting edges configured to contact the work piece to remove material. Each cutting edge extends from the central area towards the periphery and includes an axially extending peak portion.