K13n2015
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2015/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-3 t+7-3 t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2015/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+2 z^2 a^6+2 a^6-2 z^2 a^4-2 a^4+z^6 a^2+5 z^4 a^2+6 z^2 a^2+2 a^2-z^4-3 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+5 a^6 z^{10}+3 a^4 z^{10}+a^9 z^9-3 a^7 z^9-a^5 z^9+3 a^3 z^9-14 a^8 z^8-34 a^6 z^8-19 a^4 z^8+a^2 z^8-7 a^9 z^7-12 a^7 z^7-26 a^5 z^7-20 a^3 z^7+a z^7+32 a^8 z^6+70 a^6 z^6+31 a^4 z^6-5 a^2 z^6+2 z^6+16 a^9 z^5+45 a^7 z^5+68 a^5 z^5+34 a^3 z^5-4 a z^5+z^5 a^{-1} -31 a^8 z^4-56 a^6 z^4-18 a^4 z^4-a^2 z^4-8 z^4-15 a^9 z^3-43 a^7 z^3-50 a^5 z^3-19 a^3 z^3-3 z^3 a^{-1} +12 a^8 z^2+18 a^6 z^2+9 a^4 z^2+8 a^2 z^2+5 z^2+5 a^9 z+11 a^7 z+9 a^5 z+3 a^3 z-a^8-2 a^6-2 a^4-2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
