query: Number of irreducible cubics over a field of $n$ elements.
positive_passages.docid: 57884
positive_passages.text: Number of monic irreducible polynomials of prime degree $p$ over finite fields
negative_passages.docid: 27942
negative_passages.text: showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
negative_passages.docid: 7938
negative_passages.text: Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
negative_passages.docid: 8164
negative_passages.text: Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
negative_passages.docid: 65558
negative_passages.text: Irreducible in $\mathbb{Z}[\sqrt{-5}]$
negative_passages.docid: 74224
negative_passages.text: On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
negative_passages.docid: 143321
negative_passages.text: Number of roots of a polynomial over a finite field
negative_passages.docid: 66355
negative_passages.text: A sufficient condition for irreducibility of a polynomial in an extension field.
negative_passages.docid: 74150
negative_passages.text: Problem on the number of generators of some ideals in $k[x,y,z]$
negative_passages.docid: 48093
negative_passages.text: Irreducible polynomial in field extension
negative_passages.docid: 10885
negative_passages.text: Existence of irreducible polynomials over finite field
negative_passages.docid: 28402
negative_passages.text: Number of bases of an n-dimensional vector space over q-element field.
negative_passages.docid: 107010
negative_passages.text: How many elements of order $k$ are in $S_n$?
negative_passages.docid: 80188
negative_passages.text: There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
negative_passages.docid: 156671
negative_passages.text: Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
negative_passages.docid: 5699
negative_passages.text: The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
negative_passages.docid: 40994
negative_passages.text: How to check that a cubic polynomial is irreducible?