K13n2966
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2966/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -7 t^2+22 t-29+22 t^{-1} -7 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2966/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-z^4 a^6-3 z^4 a^4-4 z^2 a^4-3 z^4 a^2-6 z^2 a^2-4 a^2+3 z^2+4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+3 a^4 z^{10}+a^2 z^{10}+3 a^7 z^9-3 a^5 z^9-6 a^3 z^9+3 a^8 z^8-5 a^6 z^8-12 a^4 z^8-4 a^2 z^8+2 a^9 z^7-9 a^7 z^7+13 a^5 z^7+27 a^3 z^7+3 a z^7+a^{10} z^6-9 a^8 z^6+10 a^6 z^6+32 a^4 z^6+12 a^2 z^6-6 a^9 z^5+15 a^7 z^5-24 a^5 z^5-52 a^3 z^5-7 a z^5-4 a^{10} z^4+10 a^8 z^4-10 a^6 z^4-37 a^4 z^4-8 a^2 z^4+5 z^4+4 a^9 z^3-15 a^7 z^3+23 a^5 z^3+51 a^3 z^3+9 a z^3+4 a^{10} z^2-7 a^8 z^2+a^6 z^2+18 a^4 z^2-5 a^2 z^2-11 z^2+2 a^7 z-8 a^5 z-16 a^3 z-6 a z+a^8+4 a^2+4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
