K12n862
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+4 q^9-9 q^8+14 q^7-19 q^6+21 q^5-20 q^4+18 q^3-12 q^2+7 q-2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+29 t-37+29 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +7 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} - a^{-2} +5 a^{-4} -3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-6} +3 z^{10} a^{-8} +9 z^9 a^{-5} +15 z^9 a^{-7} +6 z^9 a^{-9} +11 z^8 a^{-4} +11 z^8 a^{-6} +4 z^8 a^{-8} +4 z^8 a^{-10} +6 z^7 a^{-3} -15 z^7 a^{-5} -39 z^7 a^{-7} -17 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -25 z^6 a^{-4} -47 z^6 a^{-6} -34 z^6 a^{-8} -13 z^6 a^{-10} -5 z^5 a^{-3} +z^5 a^{-5} +19 z^5 a^{-7} +10 z^5 a^{-9} -3 z^5 a^{-11} +8 z^4 a^{-2} +30 z^4 a^{-4} +41 z^4 a^{-6} +32 z^4 a^{-8} +13 z^4 a^{-10} +3 z^3 a^{-1} +7 z^3 a^{-3} +9 z^3 a^{-5} +4 z^3 a^{-7} +2 z^3 a^{-9} +3 z^3 a^{-11} -6 z^2 a^{-2} -18 z^2 a^{-4} -15 z^2 a^{-6} -7 z^2 a^{-8} -4 z^2 a^{-10} -z a^{-1} -3 z a^{-3} -6 z a^{-5} -4 z a^{-7} -z a^{-9} -z a^{-11} + 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. |
