K13n2047
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2047/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+t^2+4 t-7+4 t^{-1} + t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2047/Conway Polynomial |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+7 a^2 z^6-z^6-a^6 z^4-a^4 z^4+16 a^2 z^4-5 z^4-2 a^6 z^2-a^4 z^2+16 a^2 z^2-7 z^2-2 a^6+6 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-4 a^3 z^9-4 a z^9+z^9 a^{-1} +a^6 z^8-14 a^4 z^8-29 a^2 z^8-14 z^8+2 a^7 z^7-6 a^5 z^7-8 a^3 z^7-7 a z^7-7 z^7 a^{-1} +2 a^8 z^6-3 a^6 z^6+27 a^4 z^6+63 a^2 z^6+31 z^6+a^9 z^5-5 a^7 z^5+8 a^5 z^5+35 a^3 z^5+37 a z^5+16 z^5 a^{-1} -5 a^8 z^4+2 a^6 z^4-19 a^4 z^4-54 a^2 z^4-28 z^4-3 a^9 z^3+a^7 z^3-27 a^3 z^3-38 a z^3-15 z^3 a^{-1} +a^8 z^2-4 a^6 z^2+8 a^4 z^2+24 a^2 z^2+11 z^2+2 a^9 z-2 a^7 z-3 a^5 z+7 a^3 z+11 a z+5 z a^{-1} +2 a^6-6 a^2-3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
