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The test case has changed since commit 95a805b. A new example is RenormalizedAngularMomentum[-2, 2, 0, 0, 0.000005, 4, Method -> {"FindRoot", "InitialGuess" -> 2}]
The FindRoot method in RenormalizedAngularMomentum currently fails when given a very low frequency. For example the following returns $Failed:
RenormalizedAngularMomentum[-2, 2, 0, 0, 0.00001, 4, Method -> "FindRoot"]
as does the same thing with a good initial guess:
RenormalizedAngularMomentum[-2, 2, 0, 0, 0.00001, 4, Method -> {"FindRoot", "InitialGuess" -> 2}]
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