K13n2969
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Polynomial invariants
| Jones polynomial | Data:K13n2969/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+t+3+ t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2969/Conway Polynomial |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-z^2 a^6-z^2 a^4-a^4-z^4 a^2-3 z^2 a^2-z^4-3 z^2-1+z^2 a^{-2} +2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+2 a^4 z^{10}+a^2 z^{10}+a^7 z^9-8 a^5 z^9-9 a^3 z^9+a^8 z^8-6 a^6 z^8-16 a^4 z^8-9 a^2 z^8-6 a^7 z^7+24 a^5 z^7+29 a^3 z^7+z^7 a^{-1} -7 a^8 z^6+9 a^6 z^6+42 a^4 z^6+27 a^2 z^6+z^6 a^{-2} +2 z^6+9 a^7 z^5-41 a^5 z^5-45 a^3 z^5+a z^5-4 z^5 a^{-1} +15 a^8 z^4-4 a^6 z^4-47 a^4 z^4-31 a^2 z^4-5 z^4 a^{-2} -8 z^4-3 a^7 z^3+38 a^5 z^3+35 a^3 z^3-3 a z^3+3 z^3 a^{-1} -11 a^8 z^2+2 a^6 z^2+21 a^4 z^2+8 a^2 z^2+7 z^2 a^{-2} +7 z^2-10 a^5 z-12 a^3 z-a z+z a^{-1} +a^8-a^4-2 a^{-2} -1 }[/math] |
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