K13n2022
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Polynomial invariants
| Jones polynomial | Data:K13n2022/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+t^2+3 t-5+3 t^{-1} + t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2022/Conway Polynomial |
| Determinant | 3 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+16 z^4 a^{-2} -5 z^4 a^{-4} -z^4-2 a^2 z^2+16 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2-a^2+7 a^{-2} -4 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +a z^9+z^9 a^{-1} +2 z^9 a^{-3} +2 z^9 a^{-5} +2 a^2 z^8-8 z^8 a^{-2} -6 z^8 a^{-4} +2 z^8 a^{-6} +2 z^8+a^3 z^7-3 a z^7-7 z^7 a^{-1} -15 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} -10 a^2 z^6+20 z^6 a^{-2} +10 z^6 a^{-4} -10 z^6 a^{-6} -10 z^6-5 a^3 z^5-4 a z^5+13 z^5 a^{-1} +32 z^5 a^{-3} +15 z^5 a^{-5} -5 z^5 a^{-7} +13 a^2 z^4-26 z^4 a^{-2} -11 z^4 a^{-4} +11 z^4 a^{-6} +9 z^4+7 a^3 z^3+10 a z^3-13 z^3 a^{-1} -29 z^3 a^{-3} -7 z^3 a^{-5} +6 z^3 a^{-7} -5 a^2 z^2+17 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} -3 a^3 z-3 a z+5 z a^{-1} +10 z a^{-3} +3 z a^{-5} -2 z a^{-7} +a^2-7 a^{-2} -4 a^{-4} -1 }[/math] |
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