K13n1619
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Polynomial invariants
| Jones polynomial | Data:K13n1619/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+4 t^2-5 t+7-5 t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1619/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+17 z^4 a^{-2} -5 z^4 a^{-4} -6 z^4+a^2 z^2+17 z^2 a^{-2} -7 z^2 a^{-4} -11 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -5 z^9 a^{-3} +2 z^9 a^{-5} -21 z^8 a^{-2} -11 z^8 a^{-4} +2 z^8 a^{-6} -8 z^8+17 z^7 a^{-1} +7 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} +53 z^6 a^{-2} +20 z^6 a^{-4} -10 z^6 a^{-6} +23 z^6-a z^5-18 z^5 a^{-1} -3 z^5 a^{-3} +9 z^5 a^{-5} -5 z^5 a^{-7} -a^2 z^4-62 z^4 a^{-2} -19 z^4 a^{-4} +13 z^4 a^{-6} -31 z^4+3 a z^3+8 z^3 a^{-1} -3 z^3 a^{-3} -2 z^3 a^{-5} +6 z^3 a^{-7} +3 a^2 z^2+32 z^2 a^{-2} +8 z^2 a^{-4} -5 z^2 a^{-6} +22 z^2-a z+2 z a^{-3} -z a^{-7} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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