K13n368
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n368/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+22 t^2-43 t+53-43 t^{-1} +22 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n368/Conway Polynomial |
| Determinant | 193 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -3 z^6 a^{-4} -2 z^6 a^{-6} +3 z^4 a^{-2} -11 z^4 a^{-4} -3 z^4 a^{-6} +3 z^4 a^{-8} +8 z^2 a^{-2} -15 z^2 a^{-4} +3 z^2 a^{-6} +5 z^2 a^{-8} -z^2 a^{-10} +5 a^{-2} -8 a^{-4} +4 a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +12 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^9 a^{-3} +7 z^9 a^{-5} +16 z^9 a^{-7} +12 z^9 a^{-9} -16 z^8 a^{-4} -25 z^8 a^{-6} +4 z^8 a^{-8} +13 z^8 a^{-10} -6 z^7 a^{-3} -30 z^7 a^{-5} -46 z^7 a^{-7} -13 z^7 a^{-9} +9 z^7 a^{-11} +6 z^6 a^{-2} +34 z^6 a^{-4} +20 z^6 a^{-6} -32 z^6 a^{-8} -20 z^6 a^{-10} +4 z^6 a^{-12} +2 z^5 a^{-3} +37 z^5 a^{-5} +45 z^5 a^{-7} -3 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -20 z^4 a^{-2} -54 z^4 a^{-4} -18 z^4 a^{-6} +34 z^4 a^{-8} +14 z^4 a^{-10} -4 z^4 a^{-12} -z^3 a^{-3} -24 z^3 a^{-5} -23 z^3 a^{-7} +8 z^3 a^{-9} +7 z^3 a^{-11} -z^3 a^{-13} +19 z^2 a^{-2} +38 z^2 a^{-4} +13 z^2 a^{-6} -13 z^2 a^{-8} -6 z^2 a^{-10} +z^2 a^{-12} +z a^{-3} +5 z a^{-5} +5 z a^{-7} -z a^{-9} -2 z a^{-11} -5 a^{-2} -8 a^{-4} -4 a^{-6} + a^{-8} + a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
