query: What is $(1372)(56) \circ (154)$ and how to work out similar compositions?
positive_passages.docid: 25744
positive_passages.text: Multiplication in Permutation Groups Written in Cyclic Notation
negative_passages.docid: 18451
negative_passages.text: Why does "$(( ~33 ))" produce -34?
negative_passages.docid: 42391
negative_passages.text: Calculate $\tan9^{\circ}-\tan27^{\circ}-\tan63^{\circ}+\tan81^{\circ}$
negative_passages.docid: 14139
negative_passages.text: $(12)$ and $(123\dots n)$ are generators of $S_n$
negative_passages.docid: 104056
negative_passages.text: Finding element in binary representation of $GF(2^6)$
negative_passages.docid: 158210
negative_passages.text: showing $\arctan(\frac{2}{3}) = \frac{1}{2} \arctan(\frac{12}{5})$
negative_passages.docid: 32278
negative_passages.text: Adjoining 1/2 to $\Bbb{Z}/12\Bbb{Z}$
negative_passages.docid: 119146
negative_passages.text: How to solve $n < 2^{n/8}$ for $n$?
negative_passages.docid: 122312
negative_passages.text: How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
negative_passages.docid: 4967
negative_passages.text: Fractions with large elements
negative_passages.docid: 39965
negative_passages.text: Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)
negative_passages.docid: 58673
negative_passages.text: Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
negative_passages.docid: 39096
negative_passages.text: Primitive elements of GF(8)
negative_passages.docid: 74924
negative_passages.text: identity element of $(D_n ,\gcd)$
negative_passages.docid: 35940
negative_passages.text: Polar form of the sum of complex numbers $\operatorname{cis} 75 + \operatorname{cis} 83 + \ldots+ \operatorname{cis} 147$
negative_passages.docid: 123337
negative_passages.text: How to sum __m256 horizontally?
negative_passages.docid: 81068
negative_passages.text: Finding the left and right cosets of H = {(1), (12), (34), (12) ○ (34)} in S4