1. For free abelian groups, the iterator doesn't enumerate any elements.
sage: A = AbelianGroup(3)
sage: A
Multiplicative Abelian Group isomorphic to Z x Z x Z
sage: for a in A:
....: print a
....:
The bug is in A.__iter__:
invs = self.invariants()
for t in mrange(invs):
yield AbelianGroupElement(self, t)
since invs is [0,0,0] the mrange is empty.
2. For free ZZ-modules the iterator doesn't enumerate all elements.
sage: M = ZZ^3
sage: for v in M:
print v
if sum([ abs(v[i]) for i in range(3) ]) > 8:
break
....:
(0, 0, 0)
(1, 0, 0)
(-1, 0, 0)
(2, 0, 0)
(-2, 0, 0)
(3, 0, 0)
(-3, 0, 0)
(4, 0, 0)
(-4, 0, 0)
(5, 0, 0)
(-5, 0, 0)
(6, 0, 0)
(-6, 0, 0)
(7, 0, 0)
(-7, 0, 0)
(8, 0, 0)
(-8, 0, 0)
(9, 0, 0)
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