K13n3571
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3571/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-4 t+7-4 t^{-1} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3571/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+z^6 a^{-2} -7 z^6+a^4 z^4+a^2 z^4+5 z^4 a^{-2} -15 z^4+2 a^4 z^2+a^2 z^2+6 z^2 a^{-2} -11 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a^3 z^9+a z^9+2 z^9 a^{-1} +2 z^9 a^{-3} +2 a^4 z^8+a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -8 z^8+2 a^5 z^7-4 a^3 z^7-8 a z^7-15 z^7 a^{-1} -13 z^7 a^{-3} +a^6 z^6-8 a^4 z^6-5 a^2 z^6+9 z^6 a^{-2} -6 z^6 a^{-4} +19 z^6-8 a^5 z^5+3 a^3 z^5+17 a z^5+31 z^5 a^{-1} +25 z^5 a^{-3} -4 a^6 z^4+7 a^4 z^4+5 a^2 z^4-5 z^4 a^{-2} +10 z^4 a^{-4} -21 z^4+7 a^5 z^3-13 a z^3-22 z^3 a^{-1} -16 z^3 a^{-3} +3 a^6 z^2-3 a^4 z^2-2 a^2 z^2+4 z^2 a^{-2} -4 z^2 a^{-4} +12 z^2-2 a^5 z-2 a^3 z+2 a z+4 z a^{-1} +2 z a^{-3} +a^4+a^2- a^{-2} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
