Perversely, improperly.
Obliquely, crookedly; askew.
Wrong or distorted; perverse, amiss, off course
Turned or twisted toward one side; crooked, distorted, out of place; wry.
Contrarily
Opposite; in an opposite direction; in opposition; adverse.
Opposed; contradictory; inconsistent.
Given to opposition; perverse; wayward.
One of a pair of propositions that cannot both be simultaneously true, though they may both be false.
The opposite.