K12n124
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-4 q^2+4 q-3+2 q^{-1} - q^{-3} +3 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t-3+2 t^{-1} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+7 z^2 a^4+5 a^4-z^6 a^2-6 z^4 a^2-10 z^2 a^2-5 a^2+z^6+5 z^4+8 z^2+4-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^5 z^9+2 a^3 z^9+4 a z^9+3 z^9 a^{-1} +2 a^6 z^8+3 a^4 z^8-3 a^2 z^8+3 z^8 a^{-2} -z^8+a^7 z^7-3 a^5 z^7-13 a^3 z^7-24 a z^7-14 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-19 a^4 z^6-14 a^2 z^6-14 z^6 a^{-2} -19 z^6-5 a^7 z^5-5 a^5 z^5+17 a^3 z^5+33 a z^5+12 z^5 a^{-1} -4 z^5 a^{-3} +13 a^6 z^4+29 a^4 z^4+38 a^2 z^4+15 z^4 a^{-2} +37 z^4+7 a^7 z^3+10 a^5 z^3-5 a^3 z^3-10 a z^3+z^3 a^{-1} +3 z^3 a^{-3} -7 a^6 z^2-19 a^4 z^2-26 a^2 z^2-6 z^2 a^{-2} -20 z^2-3 a^7 z-4 a^5 z-a^3 z-a z-2 z a^{-1} -z a^{-3} +2 a^6+5 a^4+5 a^2+ a^{-2} +4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
