K13n3556
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Polynomial invariants
| Jones polynomial | Data:K13n3556/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-6 t^2+11 t-13+11 t^{-1} -6 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3556/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -6 z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} -12 z^4 a^{-4} +4 z^4 a^{-6} +z^4-2 z^2 a^{-2} -8 z^2 a^{-4} +5 z^2 a^{-6} +3 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -5 z^8 a^{-4} +4 z^8 a^{-8} +z^8-8 z^7 a^{-1} -8 z^7 a^{-3} -10 z^7 a^{-5} -7 z^7 a^{-7} +3 z^7 a^{-9} -5 z^6 a^{-2} +11 z^6 a^{-4} -3 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -7 z^6+17 z^5 a^{-1} +20 z^5 a^{-3} +15 z^5 a^{-5} +3 z^5 a^{-7} -9 z^5 a^{-9} +17 z^4 a^{-2} -7 z^4 a^{-4} -z^4 a^{-6} +6 z^4 a^{-8} -3 z^4 a^{-10} +14 z^4-11 z^3 a^{-1} -11 z^3 a^{-3} -9 z^3 a^{-5} -3 z^3 a^{-7} +6 z^3 a^{-9} -11 z^2 a^{-2} +5 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} -10 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} -z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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