K13n4261
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4261/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-9 t^3+33 t^2-66 t+83-66 t^{-1} +33 t^{-2} -9 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4261/Conway Polynomial |
| Determinant | 301 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +2 z^6+2 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -z^4-2 a^4 z^2+8 a^2 z^2+z^2 a^{-4} -6 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 a z^{11}+5 z^{11} a^{-1} +13 a^2 z^{10}+16 z^{10} a^{-2} +29 z^{10}+11 a^3 z^9+25 a z^9+34 z^9 a^{-1} +20 z^9 a^{-3} +3 a^4 z^8-16 a^2 z^8-10 z^8 a^{-2} +13 z^8 a^{-4} -42 z^8-14 a^3 z^7-66 a z^7-93 z^7 a^{-1} -36 z^7 a^{-3} +5 z^7 a^{-5} +9 a^4 z^6+19 a^2 z^6-25 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +7 z^6+6 a^5 z^5+19 a^3 z^5+55 a z^5+74 z^5 a^{-1} +26 z^5 a^{-3} -6 z^5 a^{-5} -16 a^4 z^4-29 a^2 z^4+22 z^4 a^{-2} +14 z^4 a^{-4} -z^4 a^{-6} -6 z^4-8 a^5 z^3-20 a^3 z^3-29 a z^3-30 z^3 a^{-1} -11 z^3 a^{-3} +2 z^3 a^{-5} +8 a^4 z^2+19 a^2 z^2-3 z^2 a^{-2} -4 z^2 a^{-4} +12 z^2+3 a^5 z+7 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
