K13n1887
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1887/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+14 t^2-31 t+41-31 t^{-1} +14 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1887/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+6 z^2 a^4+3 a^4-2 z^6 a^2-6 z^4 a^2-6 z^2 a^2-a^2-z^6-2 z^4-3 z^2-2+z^4 a^{-2} +2 z^2 a^{-2} +2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+6 a^5 z^9+10 a^3 z^9+5 a z^9+z^9 a^{-1} +4 a^6 z^8-a^4 z^8-5 a^2 z^8+a^7 z^7-16 a^5 z^7-32 a^3 z^7-10 a z^7+5 z^7 a^{-1} -13 a^6 z^6-28 a^4 z^6-19 a^2 z^6+7 z^6 a^{-2} +3 z^6-3 a^7 z^5+6 a^5 z^5+18 a^3 z^5-a z^5-7 z^5 a^{-1} +3 z^5 a^{-3} +13 a^6 z^4+35 a^4 z^4+23 a^2 z^4-9 z^4 a^{-2} +z^4 a^{-4} -9 z^4+3 a^7 z^3+5 a^5 z^3+a^3 z^3+9 a z^3+8 z^3 a^{-1} -2 z^3 a^{-3} -5 a^6 z^2-16 a^4 z^2-9 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} +10 z^2-a^7 z-2 a^5 z-2 a^3 z-4 a z-3 z a^{-1} +a^6+3 a^4+a^2-2 a^{-2} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
