K13n113
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n113/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+12 t-13+12 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n113/Conway Polynomial |
| Determinant | 51 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +6 z^2+2 a^4-4 a^2-2 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+2 a^3 z^9+z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-8 a^2 z^8-14 z^8 a^{-2} +z^8 a^{-4} -24 z^8-11 a^3 z^7-21 a z^7-26 z^7 a^{-1} -16 z^7 a^{-3} -6 a^4 z^6+a^2 z^6+13 z^6 a^{-2} -5 z^6 a^{-4} +25 z^6+18 a^3 z^5+42 a z^5+48 z^5 a^{-1} +24 z^5 a^{-3} +11 a^4 z^4+17 a^2 z^4+6 z^4 a^{-2} +7 z^4 a^{-4} +5 z^4-13 a^3 z^3-29 a z^3-28 z^3 a^{-1} -12 z^3 a^{-3} -8 a^4 z^2-17 a^2 z^2-10 z^2 a^{-2} -4 z^2 a^{-4} -15 z^2+4 a^3 z+7 a z+5 z a^{-1} +2 z a^{-3} +2 a^4+4 a^2+2 a^{-2} + a^{-4} +4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
