sage: Q = DiagonalQuadraticForm(ZZ,[1,4,4])
sage: for j in range(42,43):
....:
print(j, Q.is_locally_represented_number(j)) # should print (42, False) but
prints (42, True)
....:
(42, True)
The above code prints (42, True) using Sage, version 6.2. I should state
that the above code prints the correct output, i.e. (42, False), if
IntegerRange is used instead of range. To see why the code should print
(42, False), mod the expression generated by the quadratic form by 4. I
believe that is_locally_represented_number() returns the wrong value
because I'm passing a Python int to it instead of a Sage Integer. However,
the documentation for is_locally_represented_number() does not explicitly
state that a Python int cannot be passed to it. Clearly, the function
is_locally_represented_number() does not raise an error when a Python int
is passed to it; the function just outputs ridiculous values.
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