K13n1181
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1181/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+2 t^2+t-3+ t^{-1} +2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1181/Conway Polynomial |
| Determinant | 5 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8-z^4 a^6-3 z^2 a^6-3 a^6+z^8 a^4+7 z^6 a^4+17 z^4 a^4+19 z^2 a^4+8 a^4-z^6 a^2-5 z^4 a^2-7 z^2 a^2-3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+12 z^4 a^{10}-3 z^2 a^{10}+z^9 a^9-4 z^7 a^9+5 z^3 a^9+z^8 a^8-6 z^6 a^8+5 z^4 a^8+2 z^2 a^8-a^8-z^7 a^7+z^5 a^7-2 z^3 a^7+z a^7-3 z^6 a^6+7 z^4 a^6-9 z^2 a^6+3 a^6+z^7 a^5-8 z^5 a^5+11 z^3 a^5-6 z a^5+3 z^8 a^4-17 z^6 a^4+28 z^4 a^4-22 z^2 a^4+8 a^4+z^9 a^3-2 z^7 a^3-9 z^5 a^3+18 z^3 a^3-7 z a^3+2 z^8 a^2-10 z^6 a^2+14 z^4 a^2-8 z^2 a^2+3 a^2+z^7 a-5 z^5 a+7 z^3 a-3 z a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
