Postcritically Finite Maps
Dimension 1, degree 6 polynomials over quadratic fields
A map is postcritically finite (PCF) if every critical point has a finite forward orbit. Its critical portrait is the graph of the critical points and their forward orbits. Critical points are counted over the algebraic closure, including ∞ for polynomials.
Functions over quadratic fields: 1 conjugacy class over Export to Sage
| Label | Function | Field of Definition | Critical Points | Critical Point Field | Portrait Size | Portrait Cycles | Portrait Components | Portrait | Citations |
|---|---|---|---|---|---|---|---|---|---|
| 1.98d006bc.2368dbfa.1 | (x6 + (a - 1)y6 : y6) | 2.0.3.1 | 2 | 2.0.3.1 | 4 | 1, 1 | 3, 1 | view | DoHi2025 |