query: How many elements in $\mathrm{Sym}(9)$ have order $7$?
positive_passages.docid: 107010
positive_passages.text: How many elements of order $k$ are in $S_n$?
negative_passages.docid: 22084
negative_passages.text: $\mathbb{Z}[i] / (2+3i)$ has 13 elements
negative_passages.docid: 96326
negative_passages.text: Number of $q$-th residues modulo $n$
negative_passages.docid: 71262
negative_passages.text: Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
negative_passages.docid: 5069
negative_passages.text: $GL_n(\mathbb F_q)$ has an element of order $q^n-1$
negative_passages.docid: 46687
negative_passages.text: Elements of $GL_{2}(\mathbb{Z})$ of finite order
negative_passages.docid: 35660
negative_passages.text: Elements of order 2 in $D_{2n}$
negative_passages.docid: 93773
negative_passages.text: How many elements are in the quotient ring $\frac{\mathbb Z_3[x]}{\langle 2x^3+ x+1\rangle} $
negative_passages.docid: 21530
negative_passages.text: How many solutions of $\mod 63$ : $x^2=1 \pmod7 $ and $x^3=1\pmod 9$
negative_passages.docid: 132133
negative_passages.text: Number of elements of a finite field
negative_passages.docid: 114987
negative_passages.text: How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
negative_passages.docid: 11935
negative_passages.text: Is $\mathbb{Z} \left[ \frac{1+i \sqrt{7}}{2} \right]$ euclidean?
negative_passages.docid: 27865
negative_passages.text: What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
negative_passages.docid: 127814
negative_passages.text: Number of elements in the quotient ring $\mathbb{Z}_6 [x]/\langle 2x +4\rangle$
negative_passages.docid: 14139
negative_passages.text: $(12)$ and $(123\dots n)$ are generators of $S_n$
negative_passages.docid: 37012
negative_passages.text: The number of summands $\phi(n)$
negative_passages.docid: 30172
negative_passages.text: Why is the order of $\mathbb{Z}[i]/\langle 3+i\rangle$ equal to 10?