| allBraidWords | Braid words of given length |
| allPositiveBraidWords | Positive braid words of given length |
| braidASCII | ASCII braid |
| braidPermutation | Braid permutation |
| bronfmanPolynomials | Bronfman polynomials |
| composeManyBraids | Composition of many braids. |
| composeTwoBraids | Composition of two braids |
| doubleSigma | Double generator |
| freeReduceBraidWord | Free reduction of a braid |
| halfTwist | Half-twist |
| inverseBraid | Inverse braid |
| isPermutationBraid | Whether a braid is a permutation braid |
| isPositiveBraidWord | Whether a braid is positive |
| isPureBraid | Whether a braid is pure |
| linkingMatrix | Linking matrix |
| mkBraid | Make a braid |
| numberOfStrands | Number of strands |
| permutationBraid | Permutation braid |
| strandLinking | Linking number between two strands |
| tau | Inner automorphism |