K12n328
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+3 q^{11}-4 q^{10}+4 q^9-3 q^8+2 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^2+5 t-5+5 t^{-1} -3 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+17 z^4+9 z^2+1 }[/math] |
| Determinant | 19 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -2 z^4 a^{-10} -z^4 a^{-12} +18 z^2 a^{-8} -6 z^2 a^{-10} -3 z^2 a^{-12} +5 a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} -z^8 a^{-12} -z^7 a^{-11} -z^7 a^{-13} -8 z^6 a^{-8} -2 z^6 a^{-10} +8 z^6 a^{-12} +2 z^6 a^{-14} -2 z^5 a^{-9} +7 z^5 a^{-11} +12 z^5 a^{-13} +3 z^5 a^{-15} +20 z^4 a^{-8} +10 z^4 a^{-10} -13 z^4 a^{-12} -2 z^4 a^{-14} +z^4 a^{-16} +7 z^3 a^{-9} -8 z^3 a^{-11} -21 z^3 a^{-13} -6 z^3 a^{-15} -18 z^2 a^{-8} -10 z^2 a^{-10} +9 z^2 a^{-12} -z^2 a^{-16} -4 z a^{-9} +3 z a^{-11} +9 z a^{-13} +2 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
