K12n95
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-6+11 q^{-1} -14 q^{-2} +16 q^{-3} -15 q^{-4} +13 q^{-5} -9 q^{-6} +5 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+22 t-29+22 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6+a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-a^4+z^6 a^2+3 z^4 a^2+5 z^2 a^2+3 a^2-z^4-2 z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+5 a^5 z^9+3 a^3 z^9+a^8 z^8+2 a^6 z^8+5 a^4 z^8+4 a^2 z^8-3 a^7 z^7-7 a^5 z^7+4 a z^7+2 a^8 z^6-a^6 z^6-7 a^4 z^6-a^2 z^6+3 z^6+3 a^9 z^5+7 a^7 z^5+7 a^5 z^5-2 a^3 z^5-4 a z^5+z^5 a^{-1} -8 a^8 z^4-6 a^6 z^4-8 a^2 z^4-6 z^4-7 a^9 z^3-13 a^7 z^3-7 a^5 z^3-a^3 z^3-2 a z^3-2 z^3 a^{-1} +5 a^8 z^2+4 a^6 z^2+4 a^4 z^2+9 a^2 z^2+4 z^2+4 a^9 z+5 a^7 z+2 a^5 z+2 a^3 z+2 a z+z a^{-1} -a^8-a^6-a^4-3 a^2-1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
