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TorusBraid ​

(σ1⋯σp−1)q(\sigma_1\cdots\sigma_{p-1})^q in BpB_p, whose closure is the torus link T(p,q)T(p,q).

TorusBraid(p, q)(σ1⋯σp−1)q(\sigma_1\cdots\sigma_{p-1})^q, whose closure is T(p,q)T(p,q)
Typed signatures
TypePackageApplies
(integer, integer) -> expression<Braid>braidalways

Domain: Braids and knots

Examples

Basic #

(σ1σ2)2(\sigma_1\sigma_2)^2 in B3B_3

live ↗
InTorusBraid(3,2)\mathrm{TorusBraid}(3, 2)OutBraid(3,[1,2,1,2])\mathrm{Braid}(3, \bigl\lbrack1, 2, 1, 2\bigr\rbrack)

σ15\sigma_1^5

live ↗
InTorusBraid(2,5)\mathrm{TorusBraid}(2, 5)OutBraid(2,[1,1,1,1,1])\mathrm{Braid}(2, \bigl\lbrack1, 1, 1, 1, 1\bigr\rbrack)
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See also: TorusKnot, Braid