K13n3526
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3526/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3526/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-6} -5 z^4 a^{-2} -2 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} +z^4-4 z^2 a^{-2} -2 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^9 a^{-1} +2 z^9 a^{-3} -2 z^9 a^{-5} +4 z^9 a^{-7} +6 z^9 a^{-9} -6 z^8 a^{-2} -15 z^8 a^{-4} -24 z^8 a^{-6} -12 z^8 a^{-8} +4 z^8 a^{-10} +z^8-13 z^7 a^{-1} -19 z^7 a^{-3} -14 z^7 a^{-5} -33 z^7 a^{-7} -24 z^7 a^{-9} +z^7 a^{-11} +4 z^6 a^{-2} +30 z^6 a^{-4} +35 z^6 a^{-6} -15 z^6 a^{-10} -6 z^6+23 z^5 a^{-1} +41 z^5 a^{-3} +41 z^5 a^{-5} +50 z^5 a^{-7} +24 z^5 a^{-9} -3 z^5 a^{-11} +8 z^4 a^{-2} -21 z^4 a^{-4} -22 z^4 a^{-6} +9 z^4 a^{-8} +12 z^4 a^{-10} +10 z^4-14 z^3 a^{-1} -27 z^3 a^{-3} -32 z^3 a^{-5} -28 z^3 a^{-7} -8 z^3 a^{-9} +z^3 a^{-11} -5 z^2 a^{-2} +8 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} -z^2 a^{-10} -6 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +2 z a^{-7} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
