K13n3993
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3993/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-4 t^3+5 t^2-4 t+3-4 t^{-1} +5 t^{-2} -4 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3993/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -9 z^8 a^{-4} +z^8 a^{-6} +7 z^6 a^{-2} -30 z^6 a^{-4} +8 z^6 a^{-6} +16 z^4 a^{-2} -46 z^4 a^{-4} +22 z^4 a^{-6} -z^4 a^{-8} +14 z^2 a^{-2} -32 z^2 a^{-4} +25 z^2 a^{-6} -4 z^2 a^{-8} +4 a^{-2} -9 a^{-4} +10 a^{-6} -4 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -4 z^9 a^{-3} -5 z^9 a^{-5} +z^9 a^{-7} -12 z^8 a^{-2} -28 z^8 a^{-4} -15 z^8 a^{-6} +z^8-12 z^7 a^{-1} -z^7 a^{-3} +5 z^7 a^{-5} -6 z^7 a^{-7} +23 z^6 a^{-2} +71 z^6 a^{-4} +44 z^6 a^{-6} +2 z^6 a^{-8} -6 z^6+21 z^5 a^{-1} +16 z^5 a^{-3} +8 z^5 a^{-5} +14 z^5 a^{-7} +z^5 a^{-9} -21 z^4 a^{-2} -85 z^4 a^{-4} -63 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} +10 z^4-12 z^3 a^{-1} -19 z^3 a^{-3} -19 z^3 a^{-5} -14 z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} +13 z^2 a^{-2} +44 z^2 a^{-4} +41 z^2 a^{-6} +13 z^2 a^{-8} -z^2 a^{-10} -4 z^2+3 z a^{-1} +7 z a^{-3} +7 z a^{-5} +6 z a^{-7} +z a^{-9} -2 z a^{-11} -4 a^{-2} -9 a^{-4} -10 a^{-6} -4 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
