page_title: (−2,3,7) pretzel knot
section_title: Mathematical properties
hierarchical_section_title: (−2,3,7) pretzel knot / Mathematical properties
caption_attribution_description: English: An edible (−2,3,7) pretzel knot with two right-handed twists in its first tangle, three left-handed twists in its second, and seven left-handed twists in its third.
context_page_description: In geometric topology, a branch of mathematics, the pretzel knot, sometimes called the Fintushel–Stern knot, is an important example of a pretzel knot which exhibits various interesting phenomena under three-dimensional and four-dimensional surgery constructions.
context_section_description: The (−2, 3, 7) pretzel knot has 7 exceptional slopes, Dehn surgery slopes which give non-hyperbolic 3-manifolds.  Among the enumerated knots, the only other hyperbolic knot with 7 or more is the figure-eight knot, which has 10.  All other hyperbolic knots are conjectured to have at most 6 exceptional slopes.
caption: A pretzel (−2,3,7) pretzel knot.
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