K13n2975
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Polynomial invariants
| Jones polynomial | Data:K13n2975/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+25 t^2-48 t+61-48 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2975/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +4 z^6+2 a^4 z^4-10 a^2 z^4-2 z^4 a^{-2} +7 z^4+3 a^4 z^2-12 a^2 z^2-z^2 a^{-2} +6 z^2+a^6+a^4-5 a^2+4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+14 a^2 z^{10}+9 z^{10}+3 a^5 z^9+13 a^3 z^9+27 a z^9+17 z^9 a^{-1} -9 a^4 z^8-16 a^2 z^8+18 z^8 a^{-2} +11 z^8-3 a^5 z^7-43 a^3 z^7-72 a z^7-20 z^7 a^{-1} +12 z^7 a^{-3} +6 a^6 z^6+10 a^4 z^6-22 a^2 z^6-26 z^6 a^{-2} +5 z^6 a^{-4} -57 z^6-5 a^5 z^5+41 a^3 z^5+61 a z^5+z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} -17 a^6 z^4-17 a^4 z^4+37 a^2 z^4+13 z^4 a^{-2} -3 z^4 a^{-4} +53 z^4+7 a^5 z^3-15 a^3 z^3-24 a z^3+z^3 a^{-1} +3 z^3 a^{-3} +13 a^6 z^2+9 a^4 z^2-19 a^2 z^2-3 z^2 a^{-2} -18 z^2-4 a^5 z-2 a^3 z+4 a z+2 z a^{-1} -a^6+a^4+5 a^2+4 }[/math] |
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