K13n3359
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Polynomial invariants
| Jones polynomial | Data:K13n3359/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+11 t^2-12 t+11-12 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3359/Conway Polynomial |
| Determinant | 69 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-z^6 a^6-4 z^4 a^6-4 z^2 a^6-2 a^6+z^8 a^4+5 z^6 a^4+8 z^4 a^4+7 z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+a^8 z^{10}+5 a^6 z^{10}+4 a^4 z^{10}-3 a^7 z^9+3 a^5 z^9+6 a^3 z^9-6 a^8 z^8-23 a^6 z^8-13 a^4 z^8+4 a^2 z^8-2 a^7 z^7-27 a^5 z^7-24 a^3 z^7+a z^7+12 a^8 z^6+29 a^6 z^6+2 a^4 z^6-15 a^2 z^6-a^9 z^5+9 a^7 z^5+35 a^5 z^5+22 a^3 z^5-3 a z^5-a^{10} z^4-8 a^8 z^4-7 a^6 z^4+12 a^4 z^4+12 a^2 z^4+2 a^9 z^3-2 a^7 z^3-10 a^5 z^3-5 a^3 z^3+a z^3+a^{10} z^2+2 a^8 z^2-6 a^6 z^2-9 a^4 z^2-2 a^2 z^2+a^9 z-a^7 z-2 a^5 z+2 a^6+3 a^4 }[/math] |
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