K13n3627
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Polynomial invariants
| Jones polynomial | Data:K13n3627/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+19 t^2-36 t+43-36 t^{-1} +19 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3627/Conway Polynomial |
| Determinant | 161 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-2 a^{10}+3 z^4 a^8+7 z^2 a^8+4 a^8-2 z^6 a^6-5 z^4 a^6-4 z^2 a^6-3 a^6-2 z^6 a^4-5 z^4 a^4-2 z^2 a^4+a^4+2 z^4 a^2+4 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+6 z^7 a^{11}-8 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+9 z^8 a^{10}-16 z^6 a^{10}+17 z^4 a^{10}-10 z^2 a^{10}+2 a^{10}+9 z^9 a^9-15 z^7 a^9+13 z^5 a^9-5 z^3 a^9+z a^9+5 z^{10} a^8+3 z^8 a^8-29 z^6 a^8+44 z^4 a^8-24 z^2 a^8+4 a^8+z^{11} a^7+15 z^9 a^7-45 z^7 a^7+51 z^5 a^7-27 z^3 a^7+5 z a^7+7 z^{10} a^6-5 z^8 a^6-24 z^6 a^6+38 z^4 a^6-20 z^2 a^6+3 a^6+z^{11} a^5+7 z^9 a^5-21 z^7 a^5+16 z^5 a^5-8 z^3 a^5+2 z a^5+2 z^{10} a^4+z^8 a^4-11 z^6 a^4+7 z^4 a^4-2 z^2 a^4+a^4+z^9 a^3+3 z^7 a^3-13 z^5 a^3+8 z^3 a^3+3 z^6 a^2-8 z^4 a^2+5 z^2 a^2-a^2 }[/math] |
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