K12n679
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{16}-2 q^{15}+3 q^{14}-5 q^{13}+5 q^{12}-5 q^{11}+3 q^{10}-2 q^9+q^8+q^7+q^5 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4-t^3+4 t^2-6 t+7-6 t^{-1} +4 t^{-2} - t^{-3} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^{10}+9 z^8+26 z^6+28 z^4+10 z^2+1 }[/math] |
| Determinant | 25 |
| 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} -32 z^4 a^{-12} +2 z^4 a^{-14} +42 z^2 a^{-10} -39 z^2 a^{-12} +7 z^2 a^{-14} +11 a^{-10} -15 a^{-12} +5 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} +2 z^7 a^{-15} +2 z^7 a^{-17} +36 z^6 a^{-10} +42 z^6 a^{-12} +2 z^6 a^{-14} -2 z^6 a^{-16} +2 z^6 a^{-18} +32 z^5 a^{-11} +34 z^5 a^{-13} -5 z^5 a^{-15} -5 z^5 a^{-17} +2 z^5 a^{-19} -58 z^4 a^{-10} -70 z^4 a^{-12} -5 z^4 a^{-14} +3 z^4 a^{-16} -3 z^4 a^{-18} +z^4 a^{-20} -39 z^3 a^{-11} -43 z^3 a^{-13} +7 z^3 a^{-15} +7 z^3 a^{-17} -4 z^3 a^{-19} +42 z^2 a^{-10} +52 z^2 a^{-12} +8 z^2 a^{-14} +z^2 a^{-16} +z^2 a^{-18} -2 z^2 a^{-20} +15 z a^{-11} +16 z a^{-13} -2 z a^{-15} -2 z a^{-17} +z a^{-19} -11 a^{-10} -15 a^{-12} -5 a^{-14} }[/math] |
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