K12n253
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2+5 q^{-1} -7 q^{-2} +10 q^{-3} -9 q^{-4} +9 q^{-5} -7 q^{-6} +4 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-6 t^2+12 t-15+12 t^{-1} -6 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+6 z^4+6 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^6-6 z^2 a^6-5 a^6+2 z^6 a^4+10 z^4 a^4+17 z^2 a^4+9 a^4-2 z^4 a^2-5 z^2 a^2-3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^9-8 z^3 a^9+5 z a^9+z^8 a^8-4 z^4 a^8+z^2 a^8+z^9 a^7-z^5 a^7-5 z^3 a^7+2 z a^7+5 z^8 a^6-13 z^6 a^6+16 z^4 a^6-15 z^2 a^6+5 a^6+z^9 a^5+4 z^7 a^5-14 z^5 a^5+17 z^3 a^5-8 z a^5+4 z^8 a^4-12 z^6 a^4+24 z^4 a^4-22 z^2 a^4+9 a^4+4 z^7 a^3-10 z^5 a^3+17 z^3 a^3-8 z a^3+z^6 a^2+4 z^4 a^2-6 z^2 a^2+3 a^2+3 z^3 a-3 z a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
