K13n4205
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Polynomial invariants
| Jones polynomial | Data:K13n4205/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-9 t^2+8 t-5+8 t^{-1} -9 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4205/Conway Polynomial |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^4 a^{-6} +14 z^4 a^{-8} -2 z^4 a^{-10} +z^2 a^{-6} +17 z^2 a^{-8} -8 z^2 a^{-10} -2 z^2 a^{-12} +6 a^{-8} -5 a^{-10} - a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +2 z^{10} a^{-12} +z^{10} a^{-14} +4 z^9 a^{-9} +5 z^9 a^{-11} +3 z^9 a^{-13} +2 z^9 a^{-15} +6 z^8 a^{-8} +2 z^8 a^{-10} -12 z^8 a^{-12} -7 z^8 a^{-14} +z^8 a^{-16} +3 z^7 a^{-7} -12 z^7 a^{-9} -26 z^7 a^{-11} -25 z^7 a^{-13} -14 z^7 a^{-15} +z^6 a^{-6} -23 z^6 a^{-8} -20 z^6 a^{-10} +19 z^6 a^{-12} +9 z^6 a^{-14} -6 z^6 a^{-16} -8 z^5 a^{-7} +4 z^5 a^{-9} +44 z^5 a^{-11} +59 z^5 a^{-13} +27 z^5 a^{-15} -3 z^4 a^{-6} +27 z^4 a^{-8} +31 z^4 a^{-10} -4 z^4 a^{-12} +4 z^4 a^{-14} +9 z^4 a^{-16} +2 z^3 a^{-7} +6 z^3 a^{-9} -24 z^3 a^{-11} -47 z^3 a^{-13} -19 z^3 a^{-15} +z^2 a^{-6} -19 z^2 a^{-8} -19 z^2 a^{-10} -5 z^2 a^{-14} -4 z^2 a^{-16} -5 z a^{-9} +3 z a^{-11} +13 z a^{-13} +5 z a^{-15} +6 a^{-8} +5 a^{-10} - a^{-12} - a^{-14} }[/math] |
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