K13n2061
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Polynomial invariants
| Jones polynomial | Data:K13n2061/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-21 t+23-21 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2061/Conway Polynomial |
| Determinant | 97 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-2 a^{10}+2 z^4 a^8+5 z^2 a^8+2 a^8-z^6 a^6-z^4 a^6+4 z^2 a^6+3 a^6-2 z^6 a^4-8 z^4 a^4-10 z^2 a^4-5 a^4+2 z^4 a^2+6 z^2 a^2+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-5 z^5 a^{11}+2 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-10 z^6 a^{10}+15 z^4 a^{10}-10 z^2 a^{10}+2 a^{10}+3 z^9 a^9-4 z^7 a^9+9 z^3 a^9-4 z a^9+2 z^{10} a^8-2 z^8 a^8-z^6 a^8+9 z^4 a^8-6 z^2 a^8+2 a^8+z^{11} a^7-z^9 a^7+4 z^7 a^7-8 z^5 a^7+9 z^3 a^7-4 z a^7+4 z^{10} a^6-16 z^8 a^6+37 z^6 a^6-46 z^4 a^6+22 z^2 a^6-3 a^6+z^{11} a^5-3 z^9 a^5+10 z^7 a^5-20 z^5 a^5+14 z^3 a^5-6 z a^5+2 z^{10} a^4-10 z^8 a^4+29 z^6 a^4-48 z^4 a^4+30 z^2 a^4-5 a^4+z^9 a^3-z^7 a^3-6 z^5 a^3+9 z^3 a^3-3 z a^3+3 z^6 a^2-12 z^4 a^2+13 z^2 a^2-3 a^2 }[/math] |
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