K12n278
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-5 q^3+8 q^2-10 q+11-10 q^{-1} +8 q^{-2} -5 q^{-3} +3 q^{-4} - q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-16 t+25-16 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4+1 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^4+z^4 a^2+2 z^4+2 z^2+1+z^4 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +4 a^2 z^8-4 z^8 a^{-2} +4 a^3 z^7-9 a z^7-17 z^7 a^{-1} -4 z^7 a^{-3} +3 a^4 z^6-10 a^2 z^6+11 z^6 a^{-2} +3 z^6 a^{-4} -5 z^6+a^5 z^5-9 a^3 z^5+14 a z^5+35 z^5 a^{-1} +12 z^5 a^{-3} +z^5 a^{-5} -7 a^4 z^4+9 a^2 z^4-11 z^4 a^{-2} -8 z^4 a^{-4} +13 z^4-2 a^5 z^3+4 a^3 z^3-7 a z^3-27 z^3 a^{-1} -17 z^3 a^{-3} -3 z^3 a^{-5} +2 a^4 z^2-2 a^2 z^2+2 z^2 a^{-2} +4 z^2 a^{-4} -6 z^2+2 a z+6 z a^{-1} +6 z a^{-3} +2 z a^{-5} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
