K13n3588
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Polynomial invariants
| Jones polynomial | Data:K13n3588/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-8 t^2+3 t+1+3 t^{-1} -8 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3588/Conway Polynomial |
| Determinant | 35 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^{12}-z^4 a^{10}-7 z^2 a^{10}-6 a^{10}+2 z^6 a^8+11 z^4 a^8+15 z^2 a^8+6 a^8-z^8 a^6-5 z^6 a^6-6 z^4 a^6-2 z^2 a^6+z^6 a^4+4 z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-5 z^3 a^{13}+4 z a^{13}-2 z^4 a^{12}+a^{12}-3 z^5 a^{11}+3 z^3 a^{11}-2 z a^{11}+z^{10} a^{10}-5 z^8 a^{10}+2 z^6 a^{10}+10 z^4 a^{10}-16 z^2 a^{10}+6 a^{10}+z^{11} a^9-4 z^9 a^9+z^7 a^9-2 z^5 a^9+11 z^3 a^9-7 z a^9+4 z^{10} a^8-21 z^8 a^8+26 z^6 a^8-3 z^4 a^8-10 z^2 a^8+6 a^8+z^{11} a^7-z^9 a^7-15 z^7 a^7+26 z^5 a^7-8 z^3 a^7-z a^7+3 z^{10} a^6-15 z^8 a^6+19 z^6 a^6-8 z^4 a^6+3 z^2 a^6+3 z^9 a^5-16 z^7 a^5+24 z^5 a^5-11 z^3 a^5+z^8 a^4-5 z^6 a^4+7 z^4 a^4-3 z^2 a^4 }[/math] |
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