K12n749
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+q^9-q^8+q^7-q^6+q^5+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2+t-1+ t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+6 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +6 z^4 a^{-6} -z^4 a^{-8} +10 z^2 a^{-6} -4 z^2 a^{-8} +4 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^8 a^{-10} -z^7 a^{-5} -z^7 a^{-7} +z^7 a^{-9} +z^7 a^{-11} +7 z^6 a^{-6} +z^6 a^{-8} -6 z^6 a^{-10} +6 z^5 a^{-5} +7 z^5 a^{-7} -5 z^5 a^{-9} -6 z^5 a^{-11} -15 z^4 a^{-6} -5 z^4 a^{-8} +10 z^4 a^{-10} -9 z^3 a^{-5} -13 z^3 a^{-7} +6 z^3 a^{-9} +10 z^3 a^{-11} +z^2 a^{-4} +12 z^2 a^{-6} +7 z^2 a^{-8} -4 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +5 z a^{-7} -z a^{-9} -4 z a^{-11} -4 a^{-6} -3 a^{-8} }[/math] |
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