K12n574
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{15}+q^{14}-2 q^{13}+3 q^{12}-2 q^{11}+q^{10}-q^9+q^7+q^5 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4+2 t^2-3 t+3-3 t^{-1} +2 t^{-2} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^{10}+9 z^8+27 z^6+32 z^4+14 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-10} +10 z^8 a^{-10} -z^8 a^{-12} +36 z^6 a^{-10} -9 z^6 a^{-12} +57 z^4 a^{-10} -26 z^4 a^{-12} +z^4 a^{-14} +38 z^2 a^{-10} -27 z^2 a^{-12} +3 z^2 a^{-14} +7 a^{-10} -7 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-11} +z^9 a^{-13} -10 z^8 a^{-10} -10 z^8 a^{-12} -9 z^7 a^{-11} -9 z^7 a^{-13} +36 z^6 a^{-10} +35 z^6 a^{-12} +z^6 a^{-16} +26 z^5 a^{-11} +26 z^5 a^{-13} +z^5 a^{-15} +z^5 a^{-17} -57 z^4 a^{-10} -53 z^4 a^{-12} -3 z^4 a^{-16} +z^4 a^{-18} -27 z^3 a^{-11} -26 z^3 a^{-13} -z^3 a^{-15} -z^3 a^{-17} +z^3 a^{-19} +38 z^2 a^{-10} +34 z^2 a^{-12} +2 z^2 a^{-14} +5 z^2 a^{-16} -z^2 a^{-18} +7 z a^{-11} +5 z a^{-13} +z a^{-15} +z a^{-17} -2 z a^{-19} -7 a^{-10} -7 a^{-12} - a^{-14} }[/math] |
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