K12n785
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q-5+9 q^{-1} -12 q^{-2} +15 q^{-3} -15 q^{-4} +13 q^{-5} -10 q^{-6} +6 q^{-7} -3 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+23 t-33+23 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -6 z^4-z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-z^4 a^6+z^2 a^6+a^6-3 z^4 a^4-4 z^2 a^4-2 a^4-2 z^4 a^2-z^2 a^2+a^2+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+6 z^3 a^9+4 z^8 a^8-10 z^6 a^8+5 z^4 a^8-z^2 a^8+4 z^9 a^7-11 z^7 a^7+14 z^5 a^7-14 z^3 a^7+4 z a^7+2 z^{10} a^6-2 z^8 a^6-2 z^4 a^6+2 z^2 a^6-a^6+8 z^9 a^5-28 z^7 a^5+47 z^5 a^5-35 z^3 a^5+9 z a^5+2 z^{10} a^4-3 z^8 a^4+6 z^6 a^4-7 z^4 a^4+8 z^2 a^4-2 a^4+4 z^9 a^3-13 z^7 a^3+27 z^5 a^3-22 z^3 a^3+7 z a^3+3 z^8 a^2-5 z^6 a^2+6 z^4 a^2-2 z^2 a^2-a^2+z^7 a+3 z^5 a-7 z^3 a+2 z a+3 z^4-5 z^2+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
