K13n3975
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3975/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-6 t^2+4 t-1+4 t^{-1} -6 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3975/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+6 z^4 a^{-2} -12 z^4+4 a^2 z^2+10 z^2 a^{-2} -2 z^2 a^{-4} -12 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-2 a z^9-5 z^9 a^{-1} +a^4 z^8-16 a^2 z^8-8 z^8 a^{-2} -25 z^8-16 a^3 z^7-11 a z^7+4 z^7 a^{-1} -z^7 a^{-3} -5 a^4 z^6+24 a^2 z^6+22 z^6 a^{-2} +z^6 a^{-4} +50 z^6+24 a^3 z^5+26 a z^5+4 z^5 a^{-1} +3 z^5 a^{-3} +z^5 a^{-5} +7 a^4 z^4-14 a^2 z^4-34 z^4 a^{-2} -7 z^4 a^{-4} -48 z^4-11 a^3 z^3-17 a z^3-9 z^3 a^{-1} -7 z^3 a^{-3} -4 z^3 a^{-5} -2 a^4 z^2+6 a^2 z^2+24 z^2 a^{-2} +8 z^2 a^{-4} +24 z^2+2 a^3 z+4 a z+4 z a^{-1} +4 z a^{-3} +2 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
