K14a10412
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K14a10412/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+15 t^3-53 t^2+109 t-137+109 t^{-1} -53 t^{-2} +15 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K14a10412/Conway Polynomial |
| Determinant | Data:K14a10412/Determinant |
| Signature | Data:K14a10412/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-z^6 a^{-2} +3 z^6 a^{-4} -4 z^6+3 a^2 z^4+2 z^4 a^{-2} +4 z^4 a^{-4} -3 z^4 a^{-6} -9 z^4+3 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-6} +z^2 a^{-8} -8 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{13} a^{-1} +z^{13} a^{-3} +10 z^{12} a^{-2} +6 z^{12} a^{-4} +4 z^{12}+7 a z^{11}+22 z^{11} a^{-1} +31 z^{11} a^{-3} +16 z^{11} a^{-5} +7 a^2 z^{10}+24 z^{10} a^{-2} +40 z^{10} a^{-4} +24 z^{10} a^{-6} +15 z^{10}+4 a^3 z^9-9 a z^9-46 z^9 a^{-1} -46 z^9 a^{-3} +9 z^9 a^{-5} +22 z^9 a^{-7} +a^4 z^8-23 a^2 z^8-130 z^8 a^{-2} -122 z^8 a^{-4} -32 z^8 a^{-6} +13 z^8 a^{-8} -77 z^8-16 a^3 z^7-24 a z^7-8 z^7 a^{-1} -40 z^7 a^{-3} -82 z^7 a^{-5} -37 z^7 a^{-7} +5 z^7 a^{-9} -4 a^4 z^6+25 a^2 z^6+171 z^6 a^{-2} +119 z^6 a^{-4} +6 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +107 z^6+22 a^3 z^5+52 a z^5+72 z^5 a^{-1} +106 z^5 a^{-3} +97 z^5 a^{-5} +27 z^5 a^{-7} -6 z^5 a^{-9} +5 a^4 z^4-12 a^2 z^4-104 z^4 a^{-2} -57 z^4 a^{-4} +6 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -70 z^4-12 a^3 z^3-33 a z^3-55 z^3 a^{-1} -68 z^3 a^{-3} -48 z^3 a^{-5} -12 z^3 a^{-7} +2 z^3 a^{-9} -2 a^4 z^2+4 a^2 z^2+29 z^2 a^{-2} +14 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +22 z^2+2 a^3 z+7 a z+13 z a^{-1} +15 z a^{-3} +9 z a^{-5} +2 z a^{-7} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
