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specify what is to happen with parameter values without "natural" meaning, e.g., index smaller zero or not smaller count.

• provide docstrings for classes (and modules), too

[especially] insert, find, replace, at_index

• insert fails to update count
• find, replace: replace might use _find. With quality satisfied with more than one node's data, both are underspecified.
• _at_index: if count/2 < index < count, walk backwards
  (it may be useful to allow indices from -count (even with at_index or generally) - cf. slicing)
• delete looks non-adapted from a singly-linked list implementation
  should use _at_index
• reverse: how about transmuting to an instance of ListLinkedDoubly, with roles of next and last(&head/tail) exchanged
• __str__: return '[]' if 0 == self.count \
    else '[<-(' + ')<=>('.join(self.items()) + ')->]'