K13n2519
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2519/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-11 t^2+36 t-51+36 t^{-1} -11 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2519/Conway Polynomial |
| Determinant | 147 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+z^4 a^4+2 z^2 a^4-3 z^4 a^2-3 z^2 a^2+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+4 z^9 a^9-10 z^7 a^9+z^5 a^9+6 z^3 a^9-2 z a^9+4 z^{10} a^8-8 z^8 a^8-2 z^6 a^8+7 z^4 a^8-7 z^2 a^8+2 a^8+2 z^{11} a^7+2 z^9 a^7-17 z^7 a^7+16 z^5 a^7-7 z^3 a^7+z a^7+10 z^{10} a^6-31 z^8 a^6+37 z^6 a^6-21 z^4 a^6+2 z^2 a^6+a^6+2 z^{11} a^5+5 z^9 a^5-26 z^7 a^5+35 z^5 a^5-15 z^3 a^5+2 z a^5+6 z^{10} a^4-16 z^8 a^4+24 z^6 a^4-15 z^4 a^4+5 z^2 a^4+7 z^9 a^3-19 z^7 a^3+29 z^5 a^3-15 z^3 a^3+2 z a^3+4 z^8 a^2-4 z^6 a^2+4 z^4 a^2-3 z^2 a^2+z^7 a+5 z^5 a-8 z^3 a+z a+3 z^4-4 z^2+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
