Appendix A2

A summary of Euler lengths for powers ranging from 4 to 32 may be found in the Microsoft Excel spreadsheet file available here. If you want to help extend any of the tables, please use the upper bounds that can be found in the estimate file available here. I have recently managed to extend the upper bounds to bases above 40 (the limit of Ultrabasic) by using a Unix/C implementation of my estimation algorithm.

For each power, a list of the corresponding Euler representations can be found in the following files. Asterisks indicate that co-incidences exist, i.e. multiple Euler representations. Other notation is used occasionally, and I hope that the meaning is obvious from the context.

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Last updated : 18/07/2003