K13n2727
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2727/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-35 t+43-35 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2727/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-3 z^6 a^{-2} +5 z^6-3 a^2 z^4-12 z^4 a^{-2} +2 z^4 a^{-4} +11 z^4-3 a^2 z^2-16 z^2 a^{-2} +5 z^2 a^{-4} +12 z^2-a^2-7 a^{-2} +3 a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^{10}+10 a z^9+16 z^9 a^{-1} +7 z^9 a^{-3} +z^9 a^{-5} +11 a^2 z^8-2 z^8 a^{-2} +z^8 a^{-4} +8 z^8+8 a^3 z^7-13 a z^7-42 z^7 a^{-1} -18 z^7 a^{-3} +3 z^7 a^{-5} +4 a^4 z^6-18 a^2 z^6-34 z^6 a^{-2} -10 z^6 a^{-4} +3 z^6 a^{-6} -43 z^6+a^5 z^5-11 a^3 z^5+2 a z^5+33 z^5 a^{-1} +6 z^5 a^{-3} -13 z^5 a^{-5} -5 a^4 z^4+13 a^2 z^4+53 z^4 a^{-2} +7 z^4 a^{-4} -8 z^4 a^{-6} +56 z^4-a^5 z^3+4 a^3 z^3+6 a z^3-4 z^3 a^{-1} +5 z^3 a^{-3} +10 z^3 a^{-5} +a^4 z^2-6 a^2 z^2-32 z^2 a^{-2} -6 z^2 a^{-4} +5 z^2 a^{-6} -28 z^2-a^3 z-2 a z-2 z a^{-1} -4 z a^{-3} -3 z a^{-5} +a^2+7 a^{-2} +3 a^{-4} +6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
