K13n386
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n386/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+24 t-29+24 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n386/Conway Polynomial |
| Determinant | 115 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-14 a^4 z^4+8 a^2 z^4-z^4+5 a^6 z^2-13 a^4 z^2+11 a^2 z^2-2 z^2+a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+4 a^7 z^9+3 a^5 z^9+a z^9+4 a^8 z^8-5 a^6 z^8-16 a^4 z^8-7 a^2 z^8+3 a^9 z^7-7 a^7 z^7-11 a^5 z^7-a^3 z^7+a^{10} z^6-9 a^8 z^6+4 a^6 z^6+33 a^4 z^6+23 a^2 z^6+4 z^6-9 a^9 z^5-a^7 z^5+15 a^5 z^5+9 a^3 z^5+3 a z^5+z^5 a^{-1} -3 a^{10} z^4+3 a^8 z^4-4 a^6 z^4-34 a^4 z^4-32 a^2 z^4-8 z^4+7 a^9 z^3+6 a^7 z^3-5 a^5 z^3-11 a^3 z^3-9 a z^3-2 z^3 a^{-1} +2 a^{10} z^2+4 a^6 z^2+20 a^4 z^2+18 a^2 z^2+4 z^2-2 a^9 z-4 a^7 z+4 a^3 z+3 a z+z a^{-1} -a^6-4 a^4-5 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. |
