= Solution
The <fixed Fatou component classification> has four cases:
* An immediate attracting or superattracting basin contains a critical point whose forward orbit converges to the attracting cycle.
* An immediate parabolic basin contains a critical point whose forward orbit converges to the parabolic cycle along an attracting direction.
* A Siegel disc is conformally conjugate to an irrational rotation of a disc. It contains no critical point, and its boundary is contained in the closure of the <postcritical set>.
* A Herman ring is conformally conjugate to an irrational rotation of an annulus. It contains no critical point, and both boundary components are contained in the closure of the postcritical set.
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