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Typo in Sage documentation (no. 2)

asked 2020-02-04 17:02:46 +0100

Thrash gravatar image

updated 2020-02-04 17:08:37 +0100

On occasion of my original thread/ticket

https://ask.sagemath.org/question/413...

https://trac.sagemath.org/ticket/24879

I've now noticed that the documentation is wrong at the end saying

In general if d=2^a 5^b m where m is coprime to 10, then s=max(a,b) and t is the order of 10 modulo d.

It must instead be

In general if d=2^a 5^b m where m is coprime to 10, then s=max(a,b) and t is the order of 10 modulo m.

For example, consider d=6 (i.e. m=3), then 10 doesn't have an order modulo d since they aren't coprime (there is no k≥1 so that 10^k = 1 mod 6). But 10 and m are coprime with 10^1 = 1 mod 3 which means t=1. And in fact, the period length of 1/6 is 1.

If I'm correct, could someone please open a ticket? I'm too incompetent for that.

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answered 2020-02-10 13:41:12 +0100

jipilab gravatar image

This is now a ticket: ticket 29175

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Thank you very much!

Thrash gravatar imageThrash ( 2020-02-11 08:50:15 +0100 )edit

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Asked: 2020-02-04 17:02:46 +0100

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Last updated: Feb 10 '20