K13n11
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n11/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+12 t^2-20 t+23-20 t^{-1} +12 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n11/Conway Polynomial |
| Determinant | 93 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+3 z^4 a^6+8 z^2 a^6+4 a^6-2 z^6 a^4-7 z^4 a^4-6 z^2 a^4-a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-2 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-z a^{11}+3 z^4 a^{10}-2 z^2 a^{10}+z^7 a^9+z^5 a^9+z^3 a^9+3 z^8 a^8-6 z^6 a^8+6 z^4 a^8+2 z^2 a^8-2 a^8+4 z^9 a^7-10 z^7 a^7+8 z^5 a^7-2 z^3 a^7+z a^7+3 z^{10} a^6-6 z^8 a^6+z^6 a^6-5 z^4 a^6+9 z^2 a^6-4 a^6+z^{11} a^5+3 z^9 a^5-17 z^7 a^5+14 z^5 a^5-6 z^3 a^5+2 z a^5+5 z^{10} a^4-16 z^8 a^4+10 z^6 a^4-z^4 a^4-a^4+z^{11} a^3+z^9 a^3-16 z^7 a^3+23 z^5 a^3-14 z^3 a^3+5 z a^3+2 z^{10} a^2-6 z^8 a^2-3 z^6 a^2+19 z^4 a^2-14 z^2 a^2+2 a^2+2 z^9 a-10 z^7 a+16 z^5 a-10 z^3 a+3 z a+z^8-6 z^6+12 z^4-9 z^2+2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |