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Compute Galois group from first principles

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Bartosz Naskręcki

Aug 13, 2026

Compute Galois group from first principles A prompt asking an LLM to compute the Galois group of a given polynomial from first principles, without external lookup or built-in commands, performing a full resolvent computation step-by-step.

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Compute the Galois of the polynomial x^8-x^7+3*x^6-3*x^5+2*x^4-2*x^3+5*x^2+5*x+1 Don't look up the result in the internet nor any specialized database. Don't use ready made commands from SymPy or any other program. Develop a full resolvent computation. Do it all the way down to the definitions, no e...

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Categories:education| twitter| galois-theory| polynomial

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