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One interesting set of example is Salem numbers. These are real algebraic integer all of whose conjugates has absolute value less than or equal to one and at least one of the conjugates lies on the unit circle.

So you have a scenario of, one which flew over the cuckoo's nest, at least one in the edge and the rest are all in the nest (caged ?) .

http://en.wikipedia.org/wiki/Salem_number

Also if all its conjugates lies on the unit circle then it has to be a root of unity, its known as Kronecker Theorem.

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One interesting set of example is Salem numbers. These are real algebraic integer all of whose conjugates has absolute value less than or equal to one and at least one of the conjugates lies on the unit circle.

So you have a scenario of, one which flew over the cuckoo's nest, at least one in the edge and the rest are all in the nest (caged ?) .

http://en.wikipedia.org/wiki/Salem_number

Also if all its conjugates lies on the unit circle then it has to be a root of unity, its known as Kronecker Theorem.

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One interesting set of example is Salem numbernumbers. This These are real algebraic integer with all its conjugate having of whose conjugates has absolute value less than or equal to one and as you have been looking forat least one of the conjugates lies on the unit circle.

http://en.wikipedia.org/wiki/Salem_number

Also if all its conjugates lies on the unit circle then it has to be a root of unity, its known as Kronecker Theorem.

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