K13n217
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n217/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+17 t-15+17 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n217/Conway Polynomial |
| Determinant | 91 |
| 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} +5 z^4 a^{-4} +7 z^4-2 a^2 z^2-9 z^2 a^{-2} +7 z^2 a^{-4} -3 z^2 a^{-6} +6 z^2-3 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10} a^{-6} +4 z^{10}+6 a z^9+8 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} +4 a^2 z^8-19 z^8 a^{-2} -17 z^8 a^{-4} -7 z^8 a^{-6} +z^8 a^{-8} -6 z^8+a^3 z^7-20 a z^7-41 z^7 a^{-1} -33 z^7 a^{-3} -27 z^7 a^{-5} -14 z^7 a^{-7} -14 a^2 z^6+8 z^6 a^{-2} +23 z^6 a^{-4} +6 z^6 a^{-6} -6 z^6 a^{-8} -17 z^6-3 a^3 z^5+16 a z^5+49 z^5 a^{-1} +67 z^5 a^{-3} +63 z^5 a^{-5} +26 z^5 a^{-7} +13 a^2 z^4+16 z^4 a^{-2} +8 z^4 a^{-4} +12 z^4 a^{-6} +9 z^4 a^{-8} +24 z^4+2 a^3 z^3-6 a z^3-26 z^3 a^{-1} -45 z^3 a^{-3} -45 z^3 a^{-5} -18 z^3 a^{-7} -4 a^2 z^2-15 z^2 a^{-2} -16 z^2 a^{-4} -13 z^2 a^{-6} -5 z^2 a^{-8} -11 z^2+a z+5 z a^{-1} +10 z a^{-3} +10 z a^{-5} +4 z a^{-7} +3 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
