K13n181
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Polynomial invariants
| Jones polynomial | Data:K13n181/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+18 t^2-24 t+25-24 t^{-1} +18 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n181/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -8 z^4 a^{-2} +11 z^4 a^{-4} -9 z^4 a^{-6} +z^4 a^{-8} +z^4-10 z^2 a^{-2} +16 z^2 a^{-4} -13 z^2 a^{-6} +5 z^2 a^{-8} +3 z^2-5 a^{-2} +9 a^{-4} -8 a^{-6} +4 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +8 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^9 a^{-1} +9 z^9 a^{-3} +15 z^9 a^{-5} +9 z^9 a^{-7} -7 z^8 a^{-2} -18 z^8 a^{-4} -3 z^8 a^{-6} +7 z^8 a^{-8} +z^8-14 z^7 a^{-1} -51 z^7 a^{-3} -69 z^7 a^{-5} -30 z^7 a^{-7} +2 z^7 a^{-9} -10 z^6 a^{-2} -21 z^6 a^{-4} -39 z^6 a^{-6} -23 z^6 a^{-8} -5 z^6+22 z^5 a^{-1} +72 z^5 a^{-3} +86 z^5 a^{-5} +35 z^5 a^{-7} -z^5 a^{-9} +32 z^4 a^{-2} +60 z^4 a^{-4} +68 z^4 a^{-6} +35 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4-14 z^3 a^{-1} -40 z^3 a^{-3} -43 z^3 a^{-5} -15 z^3 a^{-7} +3 z^3 a^{-9} +z^3 a^{-11} -23 z^2 a^{-2} -40 z^2 a^{-4} -40 z^2 a^{-6} -20 z^2 a^{-8} -4 z^2 a^{-10} -7 z^2+3 z a^{-1} +8 z a^{-3} +7 z a^{-5} +2 z a^{-7} -z a^{-9} -z a^{-11} +5 a^{-2} +9 a^{-4} +8 a^{-6} +4 a^{-8} + a^{-10} +2 }[/math] |
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