K12n582
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^9+q^8-q^7+2 q^6-q^5+q^4-q^3+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4+2 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-6} -z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} -2 a^{-4} +4 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} -8 z^8 a^{-6} -8 z^8 a^{-8} -7 z^7 a^{-5} -15 z^7 a^{-7} -8 z^7 a^{-9} +z^6 a^{-4} +23 z^6 a^{-6} +22 z^6 a^{-8} +15 z^5 a^{-5} +36 z^5 a^{-7} +21 z^5 a^{-9} -6 z^4 a^{-4} -32 z^4 a^{-6} -26 z^4 a^{-8} -11 z^3 a^{-5} -31 z^3 a^{-7} -20 z^3 a^{-9} +8 z^2 a^{-4} +22 z^2 a^{-6} +14 z^2 a^{-8} -z a^{-3} +z a^{-5} +7 z a^{-7} +5 z a^{-9} -2 a^{-4} -4 a^{-6} -2 a^{-8} +1 }[/math] |
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