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[Bug-apl] Modulo or residue function is not generating consistent comple


From: Frederick Pitts
Subject: [Bug-apl] Modulo or residue function is not generating consistent complete residue systems for some arguments
Date: Mon, 19 Jun 2017 12:03:18 -0500

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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