K13n1704
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1704/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+23 t-27+23 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1704/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +2 z^6 a^{-6} +3 z^4 a^{-2} -8 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -3 z^2 a^{-4} +9 z^2 a^{-6} -3 z^2 a^{-8} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^{10} a^{-8} +3 z^9 a^{-3} +4 z^9 a^{-5} +5 z^9 a^{-7} +4 z^9 a^{-9} +z^8 a^{-2} -8 z^8 a^{-4} -17 z^8 a^{-6} -5 z^8 a^{-8} +3 z^8 a^{-10} -8 z^7 a^{-3} -18 z^7 a^{-5} -23 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} +2 z^6 a^{-2} +13 z^6 a^{-4} +17 z^6 a^{-6} -5 z^6 a^{-8} -11 z^6 a^{-10} +4 z^5 a^{-1} +15 z^5 a^{-3} +24 z^5 a^{-5} +24 z^5 a^{-7} +7 z^5 a^{-9} -4 z^5 a^{-11} -2 z^4 a^{-2} -6 z^4 a^{-4} -11 z^4 a^{-6} +3 z^4 a^{-8} +11 z^4 a^{-10} +z^4-5 z^3 a^{-1} -7 z^3 a^{-3} -9 z^3 a^{-5} -13 z^3 a^{-7} -z^3 a^{-9} +5 z^3 a^{-11} +z^2 a^{-4} +6 z^2 a^{-6} +3 z^2 a^{-8} -3 z^2 a^{-10} -z^2+3 z a^{-7} +z a^{-9} -2 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
