K13n3849
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Polynomial invariants
| Jones polynomial | Data:K13n3849/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3849/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-3 z^4 a^{-2} +11 z^4+2 a^4 z^2-9 a^2 z^2-4 z^2 a^{-2} +12 z^2+a^4-4 a^2-2 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^4 z^{10}+6 a^2 z^{10}+5 z^{10}+a^3 z^9+12 a z^9+11 z^9 a^{-1} -8 a^2 z^8+13 z^8 a^{-2} +5 z^8+4 a^5 z^7+a^3 z^7-29 a z^7-17 z^7 a^{-1} +9 z^7 a^{-3} +a^6 z^6+a^4 z^6-2 a^2 z^6-25 z^6 a^{-2} +4 z^6 a^{-4} -31 z^6-10 a^5 z^5-9 a^3 z^5+21 a z^5+6 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4-6 a^4 z^4+12 a^2 z^4+21 z^4 a^{-2} -4 z^4 a^{-4} +40 z^4+6 a^5 z^3+7 a^3 z^3+6 z^3 a^{-1} +6 z^3 a^{-3} -z^3 a^{-5} +2 a^6 z^2+a^4 z^2-13 a^2 z^2-10 z^2 a^{-2} -22 z^2-a^5 z-3 a^3 z-4 a z-4 z a^{-1} -2 z a^{-3} +a^4+4 a^2+2 a^{-2} +6 }[/math] |
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