Rule #1 Two knots are identical if and only if their complements are identical
Rule # 2 Two knots can have the same group yet not be the same knots
Therefore:
. A knot and .
. another .
. knot may .
. not be the .
. Same knot, though .
. The knot group of .
. The knot and the .
. Other knot’s .
. Knot group .
. Differ not; BUT .
. If the knot group .
. Of a knot .
. Is the knot group .
. Of the not .
. Knotted .
. knot, .
. The knot is .
. not .
. knotted .
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