K13n4223
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4223/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-28 t+31-28 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4223/Conway Polynomial |
| Determinant | 137 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8-z^6 a^6-2 z^4 a^6+z^2 a^6+a^6+z^8 a^4+5 z^6 a^4+10 z^4 a^4+10 z^2 a^4+3 a^4-2 z^6 a^2-7 z^4 a^2-6 z^2 a^2-a^2+z^4+2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^3 a^{11}-2 z a^{11}+z^6 a^{10}+4 z^4 a^{10}-z^2 a^{10}+3 z^7 a^9+2 z^5 a^9-2 z^3 a^9+2 z a^9+5 z^8 a^8-2 z^6 a^8-5 z^4 a^8+5 z^2 a^8-2 a^8+6 z^9 a^7-7 z^7 a^7-z^5 a^7-5 z^3 a^7+3 z a^7+5 z^{10} a^6-6 z^8 a^6-6 z^6 a^6+z^2 a^6-a^6+2 z^{11} a^5+5 z^9 a^5-26 z^7 a^5+14 z^5 a^5+3 z^3 a^5-3 z a^5+10 z^{10} a^4-31 z^8 a^4+18 z^6 a^4+6 z^4 a^4-6 z^2 a^4+3 a^4+2 z^{11} a^3+3 z^9 a^3-34 z^7 a^3+42 z^5 a^3-7 z^3 a^3-3 z a^3+5 z^{10} a^2-19 z^8 a^2+17 z^6 a^2+2 z^4 a^2-3 z^2 a^2+a^2+4 z^9 a-18 z^7 a+25 z^5 a-10 z^3 a-z a+z^8-4 z^6+5 z^4-2 z^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
