Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
knot
mathematical knot |
| gptkbp:Alexander_polynomial |
t^2 - t + 1 - t^{-1} + t^{-2}
|
| gptkbp:alternating |
true
|
| gptkbp:amphichiral |
false
|
| gptkbp:braid_representation |
(σ1)^5
|
| gptkbp:crossing_number |
5
|
| gptkbp:fibered |
true
|
| gptkbp:firstAppearance |
Alexander, 1928
|
| gptkbp:genus |
2
|
| https://www.w3.org/2000/01/rdf-schema#label |
cinquefoil knot (T(2,5))
|
| gptkbp:hyperbolic |
false
|
| gptkbp:invertible |
true
|
| gptkbp:Jones_polynomial |
t^{-2} + t^{-4} - t^{-5} + t^{-6} - t^{-7}
|
| gptkbp:knot_group |
⟨a, b | a^2 = b^5⟩
|
| gptkbp:knot_notation |
5_1
|
| gptkbp:minimal_crossing_diagram |
5
|
| gptkbp:mirror_image |
T(2,-5)
|
| gptkbp:name |
T(2,5)
cinquefoil knot |
| gptkbp:prime_knot |
true
|
| gptkbp:Rolfsen_table_number |
5_1
|
| gptkbp:slice_knot |
false
|
| gptkbp:symmetry |
gptkb:cyclic_group_of_order_5
|
| gptkbp:torus_knot_parameters |
(2,5)
|
| gptkbp:unknotting_number |
2
|
| gptkbp:bfsParent |
gptkb:knot
|
| gptkbp:bfsLayer |
5
|