K13n2685
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2685/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+8 t-11+8 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2685/Conway Polynomial |
| Determinant | 35 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+z^6 a^6+5 z^4 a^6+9 z^2 a^6+5 a^6-z^4 a^4-2 z^2 a^4-2 a^4+z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+3 z^9 a^9-15 z^7 a^9+20 z^5 a^9-12 z^3 a^9+4 z a^9+3 z^{10} a^8-17 z^8 a^8+31 z^6 a^8-30 z^4 a^8+16 z^2 a^8-3 a^8+z^{11} a^7-2 z^9 a^7-13 z^7 a^7+38 z^5 a^7-35 z^3 a^7+10 z a^7+4 z^{10} a^6-26 z^8 a^6+56 z^6 a^6-54 z^4 a^6+25 z^2 a^6-5 a^6+z^{11} a^5-5 z^9 a^5+3 z^7 a^5+12 z^5 a^5-16 z^3 a^5+5 z a^5+z^{10} a^4-7 z^8 a^4+16 z^6 a^4-17 z^4 a^4+10 z^2 a^4-2 a^4-z^5 a^3+z^3 a^3+z a^3-z^4 a^2+2 z^2 a^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. |
