K12n888
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{16}-4 q^{15}+6 q^{14}-8 q^{13}+9 q^{12}-8 q^{11}+6 q^{10}-4 q^9+q^8+q^7+q^5 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4-t^3+6 t^2-11 t+13-11 t^{-1} +6 t^{-2} - t^{-3} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^{10}+9 z^8+26 z^6+30 z^4+13 z^2+1 }[/math] |
| Determinant | 45 |
| 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} -10 z^6 a^{-12} +58 z^4 a^{-10} -30 z^4 a^{-12} +2 z^4 a^{-14} +40 z^2 a^{-10} -32 z^2 a^{-12} +5 z^2 a^{-14} +8 a^{-10} -9 a^{-12} +2 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} -11 z^8 a^{-12} +z^8 a^{-16} -10 z^7 a^{-11} -10 z^7 a^{-13} +4 z^7 a^{-15} +4 z^7 a^{-17} +36 z^6 a^{-10} +40 z^6 a^{-12} +6 z^6 a^{-14} +8 z^6 a^{-16} +6 z^6 a^{-18} +30 z^5 a^{-11} +34 z^5 a^{-13} +4 z^5 a^{-19} -58 z^4 a^{-10} -61 z^4 a^{-12} -10 z^4 a^{-14} -16 z^4 a^{-16} -8 z^4 a^{-18} +z^4 a^{-20} -32 z^3 a^{-11} -36 z^3 a^{-13} -8 z^3 a^{-15} -8 z^3 a^{-17} -4 z^3 a^{-19} +40 z^2 a^{-10} +41 z^2 a^{-12} +7 z^2 a^{-14} +8 z^2 a^{-16} +2 z^2 a^{-18} +9 z a^{-11} +9 z a^{-13} +4 z a^{-15} +4 z a^{-17} -8 a^{-10} -9 a^{-12} -2 a^{-14} }[/math] |
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