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ModularSTWord ​

The alternating S/TS/T factorisation of a matrix, Te0STe1S⋯T^{e_0}ST^{e_1}S\cdots, as its list of TT-exponents — the continued fraction of the matrix, up to sign.

ModularSTWord(matrix)the list of TT-exponents
Typed signatures
TypePackageApplies
(expression<ModularMatrix> | list | string) -> list<integer>modularalways

Domain: The modular group

Examples

Basic #

The TT-exponents of (1415)\begin{pmatrix}1&4\\1&5\end{pmatrix}

live ↗
InModularSTWord(ModularMatrix(1,4,1,5))\mathrm{ModularSTWord}(\mathrm{ModularMatrix}(1, 4, 1, 5))Out[1,5]\bigl\lbrack1, 5\bigr\rbrack
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See also: ModularFromSTWord, ModularWord