K13n1617
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Polynomial invariants
| Jones polynomial | Data:K13n1617/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-6 t+7-6 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1617/Conway Polynomial |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-z^4 a^6-4 z^2 a^6-4 a^6+2 z^4 a^4+7 z^2 a^4+5 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+5 a^4 z^{10}+3 a^2 z^{10}+a^7 z^9-a^5 z^9+a^3 z^9+3 a z^9+a^8 z^8-11 a^6 z^8-27 a^4 z^8-14 a^2 z^8+z^8+2 a^9 z^7-6 a^7 z^7-21 a^5 z^7-29 a^3 z^7-16 a z^7+a^{10} z^6-6 a^8 z^6+9 a^6 z^6+33 a^4 z^6+12 a^2 z^6-5 z^6-10 a^9 z^5+2 a^7 z^5+43 a^5 z^5+55 a^3 z^5+24 a z^5-4 a^{10} z^4+4 a^8 z^4+7 a^6 z^4-2 a^4 z^4+6 a^2 z^4+7 z^4+9 a^9 z^3+6 a^7 z^3-22 a^5 z^3-32 a^3 z^3-13 a z^3+2 a^{10} z^2-a^8 z^2-10 a^6 z^2-12 a^4 z^2-9 a^2 z^2-4 z^2-2 a^9 z-4 a^7 z+a^5 z+5 a^3 z+2 a z+a^8+4 a^6+5 a^4+2 a^2+1 }[/math] |
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