Compute Galois group from first principles
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2026年8月13日
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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