K13n4066
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Polynomial invariants
| Jones polynomial | Data:K13n4066/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+13 t^2-15 t+15-15 t^{-1} +13 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4066/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -2 z^4 a^{-2} +2 z^4 a^{-4} -3 z^4 a^{-6} +3 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-3} +12 z^9 a^{-5} +5 z^9 a^{-7} +5 z^8 a^{-2} -2 z^8 a^{-4} -5 z^8 a^{-6} +2 z^8 a^{-8} +z^7 a^{-1} -26 z^7 a^{-3} -47 z^7 a^{-5} -20 z^7 a^{-7} -17 z^6 a^{-2} -21 z^6 a^{-4} -10 z^6 a^{-6} -6 z^6 a^{-8} -2 z^5 a^{-1} +25 z^5 a^{-3} +56 z^5 a^{-5} +30 z^5 a^{-7} +z^5 a^{-9} +11 z^4 a^{-2} +18 z^4 a^{-4} +18 z^4 a^{-6} +11 z^4 a^{-8} -10 z^3 a^{-3} -30 z^3 a^{-5} -18 z^3 a^{-7} +2 z^3 a^{-9} +5 z^2 a^{-2} +6 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} +3 z a^{-3} +7 z a^{-5} +4 z a^{-7} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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