K13n3459
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3459/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-16 t^2+40 t-53+40 t^{-1} -16 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3459/Conway Polynomial |
| Determinant | 171 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} -2 z^4 a^{-6} -2 z^4+8 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -3 z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +11 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^9 a^{-1} +5 z^9 a^{-3} +9 z^9 a^{-5} +8 z^9 a^{-7} -13 z^8 a^{-2} -29 z^8 a^{-4} -8 z^8 a^{-6} +7 z^8 a^{-8} +z^8-6 z^7 a^{-1} -19 z^7 a^{-3} -34 z^7 a^{-5} -17 z^7 a^{-7} +4 z^7 a^{-9} +32 z^6 a^{-2} +40 z^6 a^{-4} -4 z^6 a^{-6} -17 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5+10 z^5 a^{-1} +32 z^5 a^{-3} +43 z^5 a^{-5} +8 z^5 a^{-7} -10 z^5 a^{-9} -42 z^4 a^{-2} -26 z^4 a^{-4} +14 z^4 a^{-6} +11 z^4 a^{-8} -2 z^4 a^{-10} -15 z^4-5 a z^3-16 z^3 a^{-1} -26 z^3 a^{-3} -17 z^3 a^{-5} +3 z^3 a^{-7} +5 z^3 a^{-9} +19 z^2 a^{-2} +7 z^2 a^{-4} -7 z^2 a^{-6} -3 z^2 a^{-8} +8 z^2+2 a z+6 z a^{-1} +7 z a^{-3} +z a^{-5} -2 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
