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From: | Jay Foad |
Subject: | Re: [Bug-apl] Modulo or residue function is not generating consistent complete residue systems for some arguments |
Date: | Tue, 20 Jun 2017 09:02:58 +0100 |
Jürgen,
With gnu apl (svn 961 on Fedora 25, Intel(R) Core(TM) i7-6700
CPU), the residue function (∣) yields the following:
5J3 ∣ 14J5
1J4
5J3 | 1J4
¯4J1
5J3 | ¯4J1
¯4J1
The above result means that two elements in the complete residue system
(CSR) for mod 5J3 are equal, i.e. 1J4 = ¯4J1 mod 5J3, which is not
allowed. None of the elements of a CSR can be equal modulo the CSR's
basis.
Regards,
Fred
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