K13n404
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n404/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n404/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +2 z^4 a^{-6} -z^4 a^{-8} -z^2 a^{-2} -4 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +z^2+2 a^{-2} -4 a^{-4} +2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^9 a^{-3} +8 z^9 a^{-5} +11 z^9 a^{-7} +6 z^9 a^{-9} +z^8 a^{-2} -4 z^8 a^{-4} -12 z^8 a^{-6} -3 z^8 a^{-8} +4 z^8 a^{-10} -7 z^7 a^{-3} -31 z^7 a^{-5} -44 z^7 a^{-7} -19 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +2 z^6 a^{-4} -8 z^6 a^{-6} -23 z^6 a^{-8} -14 z^6 a^{-10} +3 z^5 a^{-1} +16 z^5 a^{-3} +45 z^5 a^{-5} +51 z^5 a^{-7} +16 z^5 a^{-9} -3 z^5 a^{-11} +2 z^4 a^{-2} +3 z^4 a^{-4} +20 z^4 a^{-6} +32 z^4 a^{-8} +14 z^4 a^{-10} +z^4-3 z^3 a^{-1} -11 z^3 a^{-3} -33 z^3 a^{-5} -33 z^3 a^{-7} -6 z^3 a^{-9} +2 z^3 a^{-11} +4 z^2 a^{-4} -8 z^2 a^{-6} -14 z^2 a^{-8} -4 z^2 a^{-10} -2 z^2+4 z a^{-3} +12 z a^{-5} +10 z a^{-7} +2 z a^{-9} -2 a^{-2} -4 a^{-4} -2 a^{-6} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
