K13n4141
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Polynomial invariants
| Jones polynomial | Data:K13n4141/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-39 t+47-39 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4141/Conway Polynomial |
| Determinant | 185 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-2 z^4 a^8-z^2 a^8+z^8 a^6+4 z^6 a^6+6 z^4 a^6+3 z^2 a^6-a^6-2 z^6 a^4-5 z^4 a^4-2 z^2 a^4+a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}+5 z^6 a^{12}-3 z^4 a^{12}+12 z^7 a^{11}-14 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+17 z^8 a^{10}-25 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}+14 z^9 a^9-13 z^7 a^9-11 z^5 a^9+14 z^3 a^9-4 z a^9+6 z^{10} a^8+12 z^8 a^8-41 z^6 a^8+27 z^4 a^8-4 z^2 a^8+z^{11} a^7+17 z^9 a^7-29 z^7 a^7-z^5 a^7+20 z^3 a^7-8 z a^7+7 z^{10} a^6-4 z^8 a^6-10 z^6 a^6+8 z^4 a^6-2 z^2 a^6+a^6+z^{11} a^5+3 z^9 a^5-13 z^5 a^5+14 z^3 a^5-6 z a^5+z^{10} a^4+z^8 a^4+2 z^6 a^4-9 z^4 a^4+3 z^2 a^4+a^4+4 z^7 a^3-8 z^5 a^3+4 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math] |
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