K12n811
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^8+5 q^7-8 q^6+10 q^5-11 q^4+11 q^3-8 q^2+6 q-2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+14 t-17+14 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -2 z^4 a^{-2} +9 z^4 a^{-4} -2 z^4 a^{-6} -4 z^2 a^{-2} +13 z^2 a^{-4} -5 z^2 a^{-6} - a^{-2} +5 a^{-4} -3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-7} +5 z^8 a^{-4} +6 z^8 a^{-6} +z^8 a^{-8} +5 z^7 a^{-3} +8 z^7 a^{-5} +3 z^7 a^{-7} +z^6 a^{-2} -13 z^6 a^{-4} -12 z^6 a^{-6} +2 z^6 a^{-8} -11 z^5 a^{-3} -25 z^5 a^{-5} -11 z^5 a^{-7} +3 z^5 a^{-9} +6 z^4 a^{-2} +22 z^4 a^{-4} +7 z^4 a^{-6} -9 z^4 a^{-8} +3 z^3 a^{-1} +16 z^3 a^{-3} +25 z^3 a^{-5} +6 z^3 a^{-7} -6 z^3 a^{-9} -7 z^2 a^{-2} -17 z^2 a^{-4} -6 z^2 a^{-6} +4 z^2 a^{-8} -2 z a^{-1} -6 z a^{-3} -8 z a^{-5} -2 z a^{-7} +2 z a^{-9} + a^{-2} +5 a^{-4} +3 a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
