K13n1233
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Polynomial invariants
| Jones polynomial | Data:K13n1233/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-10 t+13-10 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1233/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+3 a^4+z^4 a^2+2 z^2 a^2+a^2-z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+4 a^6 z^{10}+2 a^4 z^{10}+a^9 z^9-3 a^7 z^9-3 a^5 z^9+a^3 z^9-13 a^8 z^8-23 a^6 z^8-10 a^4 z^8-7 a^9 z^7-8 a^7 z^7-3 a^5 z^7-2 a^3 z^7+27 a^8 z^6+39 a^6 z^6+15 a^4 z^6+3 a^2 z^6+17 a^9 z^5+31 a^7 z^5+7 a^5 z^5-6 a^3 z^5+a z^5-20 a^8 z^4-21 a^6 z^4-12 a^4 z^4-11 a^2 z^4-17 a^9 z^3-25 a^7 z^3+3 a^5 z^3+9 a^3 z^3-2 a z^3+5 a^8 z^2+2 a^6 z^2+2 a^4 z^2+7 a^2 z^2+2 z^2+6 a^9 z+5 a^7 z-4 a^5 z-4 a^3 z+z a^{-1} -a^8+a^6+3 a^4-a^2-1 }[/math] |
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