K13n3997
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3997/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+5 t^2-7 t+9-7 t^{-1} +5 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3997/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-4 a^4 z^4+12 a^2 z^4-z^4 a^{-2} -5 a^4 z^2+10 a^2 z^2-2 z^2 a^{-2} -z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+5 a^5 z^9+a^3 z^9-3 a z^9+z^9 a^{-1} +3 a^6 z^8-19 a^4 z^8-30 a^2 z^8+2 z^8 a^{-2} -6 z^8+a^7 z^7-23 a^5 z^7-27 a^3 z^7-11 a z^7-7 z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6+26 a^4 z^6+54 a^2 z^6-12 z^6 a^{-2} +4 z^6-4 a^7 z^5+29 a^5 z^5+54 a^3 z^5+34 a z^5+8 z^5 a^{-1} -5 z^5 a^{-3} +10 a^6 z^4-21 a^4 z^4-42 a^2 z^4+16 z^4 a^{-2} +5 z^4+3 a^7 z^3-18 a^5 z^3-40 a^3 z^3-25 a z^3-z^3 a^{-1} +5 z^3 a^{-3} -2 a^6 z^2+10 a^4 z^2+18 a^2 z^2-6 z^2 a^{-2} +5 a^5 z+10 a^3 z+6 a z-z a^{-3} -2 a^4-4 a^2-1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
