K13n1112
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1112/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+10 t^2-3 t-3-3 t^{-1} +10 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1112/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -9 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} +z^4-10 z^2 a^{-2} +6 z^2 a^{-4} -4 z^2 a^{-6} +3 z^2 a^{-8} +4 z^2-4 a^{-2} +2 a^{-4} - a^{-6} +2 a^{-8} - a^{-10} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} -3 z^9 a^{-5} +z^9 a^{-7} +z^9 a^{-9} -7 z^8 a^{-2} -19 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} +2 z^8 a^{-10} +z^8-10 z^7 a^{-1} -11 z^7 a^{-3} -3 z^7 a^{-5} -8 z^7 a^{-7} -5 z^7 a^{-9} +z^7 a^{-11} -2 z^6 a^{-2} +22 z^6 a^{-4} +18 z^6 a^{-6} -11 z^6 a^{-8} -11 z^6 a^{-10} -6 z^6+14 z^5 a^{-1} +13 z^5 a^{-3} +2 z^5 a^{-5} +9 z^5 a^{-7} +z^5 a^{-9} -5 z^5 a^{-11} +19 z^4 a^{-2} -9 z^4 a^{-4} -12 z^4 a^{-6} +19 z^4 a^{-8} +15 z^4 a^{-10} +12 z^4-6 z^3 a^{-1} +2 z^3 a^{-3} +8 z^3 a^{-5} +z^3 a^{-7} +7 z^3 a^{-9} +6 z^3 a^{-11} -16 z^2 a^{-2} +3 z^2 a^{-6} -10 z^2 a^{-8} -7 z^2 a^{-10} -10 z^2-4 z a^{-3} -6 z a^{-5} -3 z a^{-7} -3 z a^{-9} -2 z a^{-11} +4 a^{-2} +2 a^{-4} + a^{-6} +2 a^{-8} + a^{-10} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
