Is there a formal name for this type of knot? My (undergrad) research group and I were working with this one specific class of knots, and we don't know quite how to search up their qualities to find out if they have a name.
Basically, they are knots with only one twist in their center, with some odd number x of crossings in their center twist. The trefoil is one such knot, with x=3. The next colorable one is at x=9. I don't think we're talking about Twist Knots, of which the Trefoil is also one such knot, because to my untrained eye the two look different. See below for x=9 "8-Bigon Twisty Knot" as we preliminarily called it:
knot with one twist and 9 crossings
So, do you know if these kinds of knots have a name? Or should we just call them "knot with one twist and x crossings"...
Thanks for your help!

This is the (9,2) torus knot, which you can draw this way:

