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For your first question, i guess it is a bug, but it should be inspected further.

For your second question, you can decide which inequalities with the operator() method:

sage: s[1][0].operator()
<built-in function eq>
sage: s[1][1].operator()
<built-in function gt>

(eq stands for "equal", gt stands for "greater than")

For your first question, i guess it is a bug, but it should be inspected further.

For your second question, you can decide which inequalities with the operator() method:

sage: s[1][0].operator()
<built-in function eq>
sage: s[1][1].operator()
<built-in function gt>

(eq stands for "equal", gt stands for "greater than")

sage: s[1][0].operator() == operator.eq
True
sage: s[1][1].operator() == operator.gt
True