joachim
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 Sep2 accepted Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$ Sep2 revised Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$ added 12 characters in body; edited title Sep2 asked Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$ Sep2 awarded Promoter Sep1 accepted Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$ Sep1 asked Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$ Aug31 revised Computable Criteria to check whether a given basis is a Gröbner Basis tags Aug31 asked Computable Criteria to check whether a given basis is a Gröbner Basis Aug30 accepted Quotient ring of a polynomial ideal with two variables Aug30 comment Quotient ring of a polynomial ideal with two variables Thanks for the great answer! If I understand you correctly I assume all the equivalence classes are of the form $[a \cdot 1], [a \cdot y], [a \cdot y^2]$ with $a \in \mathbb{C}$. Thus, $\operatorname{dim}_{\mathbb{C}}\mathbb{C}[x,y]/I = 3$? Aug30 asked Quotient ring of a polynomial ideal with two variables Aug30 accepted Reduced Gröbner Basis Aug30 asked Reduced Gröbner Basis Aug28 accepted Describing the ideals for which $\operatorname{dim}_F(F[x,y)]/I) = 4$ Aug27 awarded Autobiographer Aug27 comment Solving polynomials in $\mathbb{Q}[X]$ exactly There algorithms for addition, multiplication and inverses of interval representations. Unfortunately, they have polynomial complexity which can be slow for this basic operations. See chapter 8 of Mishra's "Algorithmic Algebra" about real algebraic numbers. Aug27 awarded Suffrage Aug27 awarded Teacher Aug27 awarded Vox Populi Aug27 answered Solving polynomials in $\mathbb{Q}[X]$ exactly