#6393: Jacobi sums incorrect when exactly one chacater is trivial
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Reporter: wdj | Owner: tbd
Type: defect | Status: new
Priority: major | Milestone:
Component: algebra | Keywords:
Reviewer: | Author:
Merged: |
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Example:
{{{
sage: G=DirichletGroup(5); X=G.list(); Y=X[0]; Z=X[1]
sage: # Y is trivial and Z is quartic
sage: sum([Y(x)*Z(1-x) for x in IntegerModRing(5)])
-1
sage: # The value -1 above is the correct value of the Jacobi sum J(Y, Z).
sage: Y.jacobi_sum(Z); Z.jacobi_sum(Y)
0
0
sage: #The 0 values above are incorrect values of J(Y, Z).
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6393>
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