K13n3898
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3898/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+16 t-19+16 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3898/Conway Polynomial |
| Determinant | 71 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-6 a^4 z^6+8 a^2 z^6-z^6+3 a^6 z^4-14 a^4 z^4+20 a^2 z^4-5 z^4+3 a^6 z^2-14 a^4 z^2+20 a^2 z^2-7 z^2+a^6-5 a^4+7 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+2 a^3 z^{11}+a z^{11}+4 a^6 z^{10}+7 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+7 a^7 z^9+4 a^5 z^9-9 a^3 z^9-5 a z^9+z^9 a^{-1} +7 a^8 z^8-11 a^6 z^8-44 a^4 z^8-41 a^2 z^8-15 z^8+4 a^9 z^7-22 a^7 z^7-38 a^5 z^7-10 a^3 z^7-5 a z^7-7 z^7 a^{-1} +a^{10} z^6-20 a^8 z^6+3 a^6 z^6+89 a^4 z^6+100 a^2 z^6+35 z^6-10 a^9 z^5+18 a^7 z^5+77 a^5 z^5+72 a^3 z^5+38 a z^5+15 z^5 a^{-1} -2 a^{10} z^4+11 a^8 z^4+6 a^6 z^4-65 a^4 z^4-94 a^2 z^4-36 z^4+3 a^9 z^3-10 a^7 z^3-53 a^5 z^3-70 a^3 z^3-43 a z^3-13 z^3 a^{-1} -3 a^8 z^2-a^6 z^2+24 a^4 z^2+38 a^2 z^2+16 z^2+3 a^7 z+13 a^5 z+19 a^3 z+13 a z+4 z a^{-1} -a^6-5 a^4-7 a^2-2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
