| 71 knot | |
|---|---|
 | |
| Arf invariant | 0 |
| Braid length | 7 |
| Braid no. | 2 |
| Bridge no. | 2 |
| Crosscap no. | 1 |
| Crossing no. | 7 |
| Genus | 3 |
| Hyperbolic volume | 0 |
| Stick no. | 9 |
| Unknotting no. | 3 |
| Conway notation | [7] |
| A–B notation | 71 |
| Dowker notation | 8, 10, 12, 14, 2, 4, 6 |
| Last / Next | 63 / 72 |
| Other | |
| alternating, torus, fibered, prime, reversible | |
In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil.
Properties[edit]
The 71 knot is invertible but not amphichiral. Its Alexander polynomial is
its Conway polynomial is
and its Jones polynomial is
Example[edit]
See also[edit]
References[edit]
- ^ "7_1", The Knot Atlas.
| Hyperbolic |
|
|---|---|
| Satellite | |
| Torus | |
| Invariants | |
| Notation and operations | |
| Other | |
Well, that’s interesting to know that Psilotum nudum are known as whisk ferns. Psilotum nudum is the commoner species of the two. While the P. flaccidum is a rare species and is found in the tropical islands. Both the species are usually epiphytic in habit and grow upon tree ferns. These species may also be terrestrial and grow in humus or in the crevices of the rocks.
View the detailed Guide of Psilotum nudum: Detailed Study Of Psilotum Nudum (Whisk Fern), Classification, Anatomy, Reproduction