K13n1869
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Polynomial invariants
| Jones polynomial | Data:K13n1869/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+33 t-43+33 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1869/Conway Polynomial |
| Determinant | 139 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-2 a^6+z^6 a^4+z^4 a^4+z^2 a^4+a^4+z^6 a^2+z^4 a^2-z^4+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+6 a^4 z^{10}+2 a^2 z^{10}+6 a^7 z^9+9 a^5 z^9+4 a^3 z^9+a z^9+5 a^8 z^8-4 a^6 z^8-10 a^4 z^8-a^2 z^8+3 a^9 z^7-15 a^7 z^7-32 a^5 z^7-10 a^3 z^7+4 a z^7+a^{10} z^6-12 a^8 z^6-7 a^6 z^6+5 a^4 z^6+4 a^2 z^6+5 z^6-8 a^9 z^5+16 a^7 z^5+47 a^5 z^5+16 a^3 z^5-6 a z^5+z^5 a^{-1} -3 a^{10} z^4+8 a^8 z^4+17 a^6 z^4+7 a^4 z^4-6 a^2 z^4-7 z^4+5 a^9 z^3-11 a^7 z^3-29 a^5 z^3-14 a^3 z^3-2 a z^3-z^3 a^{-1} +2 a^{10} z^2-4 a^8 z^2-11 a^6 z^2-5 a^4 z^2-a^9 z+2 a^7 z+7 a^5 z+5 a^3 z+a z+a^8+2 a^6+a^4+1 }[/math] |
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