K12n746
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-8+14 q^{-1} -18 q^{-2} +20 q^{-3} -19 q^{-4} +16 q^{-5} -11 q^{-6} +6 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+28 t-37+28 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6+z^2 a^6+2 a^6+z^6 a^4+z^4 a^4-z^2 a^4-2 a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+9 a^5 z^9+6 a^3 z^9+a^8 z^8+7 a^4 z^8+8 a^2 z^8-5 a^7 z^7-17 a^5 z^7-5 a^3 z^7+7 a z^7+4 a^8 z^6+4 a^6 z^6-14 a^4 z^6-10 a^2 z^6+4 z^6+3 a^9 z^5+10 a^7 z^5+17 a^5 z^5-a^3 z^5-10 a z^5+z^5 a^{-1} -11 a^8 z^4-14 a^6 z^4+3 a^4 z^4-6 z^4-6 a^9 z^3-15 a^7 z^3-12 a^5 z^3+a^3 z^3+3 a z^3-z^3 a^{-1} +6 a^8 z^2+9 a^6 z^2+6 a^4 z^2+5 a^2 z^2+2 z^2+3 a^9 z+5 a^7 z+3 a^5 z+a^3 z-a^8-2 a^6-2 a^4-2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
