K13n2724
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Polynomial invariants
| Jones polynomial | Data:K13n2724/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+34 t-45+34 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2724/Conway Polynomial |
| Determinant | 143 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-z^2 a^6+a^6+z^6 a^4-3 z^2 a^4-3 a^4+z^6 a^2+2 z^4 a^2+4 z^2 a^2+3 a^2-z^4-z^2 }[/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}+7 a^7 z^9+9 a^5 z^9+3 a^3 z^9+a z^9+7 a^8 z^8-11 a^4 z^8-4 a^2 z^8+4 a^9 z^7-12 a^7 z^7-25 a^5 z^7-8 a^3 z^7+a z^7+a^{10} z^6-15 a^8 z^6-11 a^6 z^6+13 a^4 z^6+12 a^2 z^6+4 z^6-9 a^9 z^5+4 a^7 z^5+29 a^5 z^5+14 a^3 z^5-a z^5+z^5 a^{-1} -2 a^{10} z^4+7 a^8 z^4+5 a^6 z^4-10 a^4 z^4-14 a^2 z^4-8 z^4+5 a^9 z^3-5 a^7 z^3-18 a^5 z^3-7 a^3 z^3-a z^3-2 z^3 a^{-1} +a^{10} z^2-a^8 z^2+9 a^4 z^2+10 a^2 z^2+3 z^2+2 a^7 z+4 a^5 z+2 a^3 z-a^6-3 a^4-3 a^2 }[/math] |
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