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As @b.gates.you.know.what mentions, you can use ToRadicalsToRadicals

Eigenvalues[H] // ToRadicals

but the resultant expression is not so easy to handle. Even after trying to simplify it under the condition youryou offer, it helps little: enter image description here

As @b.gates.you.know.what mentions, you can use ToRadicals

Eigenvalues[H] // ToRadicals

but the resultant expression is not so easy to handle. Even after trying to simplify it under the condition your offer, it helps little: enter image description here

As @b.gates.you.know.what mentions, you can use ToRadicals

Eigenvalues[H] // ToRadicals

but the resultant expression is not so easy to handle. Even after trying to simplify it under the condition you offer, it helps little: enter image description here

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As @b.gates.you.know.what mentions, you can use ToRadicals

Eigenvalues[H] // ToRadicals

but the resultant expression is not so easy to handle. Even after trying to simplify it under the condition your offer, it helps little: enter image description here