K13n4278
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4278/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-9 t^3+16 t^2-23 t+27-23 t^{-1} +16 t^{-2} -9 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4278/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -8 z^8+6 a^2 z^6+7 z^6 a^{-2} -25 z^6+13 a^2 z^4+18 z^4 a^{-2} -z^4 a^{-4} -38 z^4+11 a^2 z^2+19 z^2 a^{-2} -3 z^2 a^{-4} -28 z^2+3 a^2+7 a^{-2} -2 a^{-4} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+6 a^3 z^9+a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +5 a^4 z^8-13 a^2 z^8-19 z^8 a^{-2} -37 z^8+3 a^5 z^7-15 a^3 z^7-14 a z^7-2 z^7 a^{-1} -6 z^7 a^{-3} +a^6 z^6-12 a^4 z^6+19 a^2 z^6+51 z^6 a^{-2} +4 z^6 a^{-4} +79 z^6-8 a^5 z^5+14 a^3 z^5+31 a z^5+24 z^5 a^{-1} +16 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+7 a^4 z^4-19 a^2 z^4-60 z^4 a^{-2} -9 z^4 a^{-4} -80 z^4+5 a^5 z^3-8 a^3 z^3-24 a z^3-27 z^3 a^{-1} -19 z^3 a^{-3} -3 z^3 a^{-5} +2 a^6 z^2-2 a^4 z^2+11 a^2 z^2+31 z^2 a^{-2} +6 z^2 a^{-4} +40 z^2-a^5 z+a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} +2 z a^{-5} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
