K12n764
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+q^{12}-2 q^{10}+3 q^9-4 q^8+5 q^7-4 q^6+4 q^5-2 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-5 t^2+3 t-1+3 t^{-1} -5 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+13 z^4+10 z^2+1 }[/math] |
| Determinant | 23 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +4 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} +3 z^2 a^{-6} +13 z^2 a^{-8} -5 z^2 a^{-10} -z^2 a^{-12} +5 a^{-8} -4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-9} +z^9 a^{-11} +3 z^8 a^{-8} +3 z^8 a^{-10} +z^8 a^{-12} +z^8 a^{-14} +2 z^7 a^{-7} -2 z^7 a^{-9} -5 z^7 a^{-11} +z^7 a^{-15} +z^6 a^{-6} -14 z^6 a^{-8} -15 z^6 a^{-10} -7 z^6 a^{-12} -7 z^6 a^{-14} -7 z^5 a^{-7} -4 z^5 a^{-9} +6 z^5 a^{-11} -3 z^5 a^{-13} -6 z^5 a^{-15} -4 z^4 a^{-6} +21 z^4 a^{-8} +25 z^4 a^{-10} +12 z^4 a^{-12} +12 z^4 a^{-14} +4 z^3 a^{-7} +7 z^3 a^{-9} +z^3 a^{-11} +7 z^3 a^{-13} +9 z^3 a^{-15} +3 z^2 a^{-6} -17 z^2 a^{-8} -18 z^2 a^{-10} -3 z^2 a^{-12} -5 z^2 a^{-14} -4 z a^{-9} -2 z a^{-11} -2 z a^{-13} -4 z a^{-15} +5 a^{-8} +4 a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
