K13n214
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n214/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+10 t^2-t-7- t^{-1} +10 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n214/Conway Polynomial |
| Determinant | 29 |
| 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} -8 z^4 a^{-2} +7 z^4 a^{-4} -6 z^4 a^{-6} +z^4-6 z^2 a^{-2} +7 z^2 a^{-4} -7 z^2 a^{-6} +4 z^2 a^{-8} +3 z^2- a^{-2} +3 a^{-4} -4 a^{-6} +3 a^{-8} - a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^{10} a^{-8} +3 z^9 a^{-1} +2 z^9 a^{-3} +4 z^9 a^{-7} +3 z^9 a^{-9} -12 z^8 a^{-2} -25 z^8 a^{-4} -18 z^8 a^{-6} -3 z^8 a^{-8} +3 z^8 a^{-10} +z^8-15 z^7 a^{-1} -30 z^7 a^{-3} -29 z^7 a^{-5} -30 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} +6 z^6 a^{-2} +26 z^6 a^{-4} +16 z^6 a^{-6} -13 z^6 a^{-8} -14 z^6 a^{-10} -5 z^6+22 z^5 a^{-1} +49 z^5 a^{-3} +59 z^5 a^{-5} +50 z^5 a^{-7} +14 z^5 a^{-9} -4 z^5 a^{-11} +9 z^4 a^{-2} -z^4 a^{-4} +13 z^4 a^{-6} +29 z^4 a^{-8} +14 z^4 a^{-10} +8 z^4-12 z^3 a^{-1} -28 z^3 a^{-3} -38 z^3 a^{-5} -27 z^3 a^{-7} -2 z^3 a^{-9} +3 z^3 a^{-11} -7 z^2 a^{-2} -8 z^2 a^{-4} -17 z^2 a^{-6} -16 z^2 a^{-8} -5 z^2 a^{-10} -5 z^2+2 z a^{-1} +6 z a^{-3} +7 z a^{-5} +4 z a^{-7} -z a^{-11} + a^{-2} +3 a^{-4} +4 a^{-6} +3 a^{-8} + a^{-10} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
