K13n1572
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1572/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+30 t-35+30 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1572/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +7 z^4 a^{-2} -10 z^4 a^{-4} +3 z^4 a^{-6} -z^4+8 z^2 a^{-2} -9 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10} a^{-6} +z^9 a^{-1} +3 z^9 a^{-3} +9 z^9 a^{-5} +7 z^9 a^{-7} -5 z^8 a^{-2} -11 z^8 a^{-4} +z^8 a^{-6} +7 z^8 a^{-8} -9 z^7 a^{-3} -24 z^7 a^{-5} -11 z^7 a^{-7} +4 z^7 a^{-9} +18 z^6 a^{-2} +13 z^6 a^{-4} -17 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+5 z^5 a^{-1} +20 z^5 a^{-3} +23 z^5 a^{-5} -2 z^5 a^{-7} -9 z^5 a^{-9} -23 z^4 a^{-2} -10 z^4 a^{-4} +14 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-2 a z^3-10 z^3 a^{-1} -16 z^3 a^{-3} -9 z^3 a^{-5} +4 z^3 a^{-7} +5 z^3 a^{-9} +12 z^2 a^{-2} +9 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +4 z^2+a z+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} -z a^{-7} -z a^{-9} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
