K13n1546
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1546/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+22 t-23+22 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1546/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-9 z^4 a^{-2} +4 z^4 a^{-4} +7 z^4-2 a^2 z^2-8 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +6 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^{10}+6 a z^9+8 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} +4 a^2 z^8-15 z^8 a^{-2} -5 z^8 a^{-4} -6 z^8+a^3 z^7-20 a z^7-37 z^7 a^{-1} -18 z^7 a^{-3} -2 z^7 a^{-5} -14 a^2 z^6+2 z^6 a^{-2} +5 z^6 a^{-4} +z^6 a^{-6} -16 z^6-3 a^3 z^5+16 a z^5+41 z^5 a^{-1} +29 z^5 a^{-3} +7 z^5 a^{-5} +13 a^2 z^4+17 z^4 a^{-2} +9 z^4 a^{-4} +4 z^4 a^{-6} +25 z^4+2 a^3 z^3-5 a z^3-19 z^3 a^{-1} -17 z^3 a^{-3} -3 z^3 a^{-5} +2 z^3 a^{-7} -4 a^2 z^2-14 z^2 a^{-2} -12 z^2 a^{-4} -5 z^2 a^{-6} -11 z^2+a z+4 z a^{-1} +4 z a^{-3} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
