# Algorithm type

${X}^{4}{Y}^{4}{Z}^{4}+{X}^{2}{Y}^{3}{Z}^{2}+14{X}^{2}{Y}^{2}{Z}^{2}+{X}^{2}{Y}^{2}Z+2{X}^{2}Y{Z}^{2}+2X{Y}^{3}Z+XY{Z}^{3}+3{X}^{2}YZ+8X{Y}^{2}Z+2XY{Z}^{2}+27XYZ$

# Algorithm definition

The algorithm ⟨4×4×5:62⟩ is taken from:

 Manuel Kauers and Jakob Moosbauer. Flip graphs for matrix multiplication. Technical report, arXiv, December 2022. [ arXiv ]

# Algorithm description

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.

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