K12n549
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-4 q^8+4 q^7-5 q^6+4 q^5-3 q^4+3 q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4+3 z^2+1 }[/math] |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -4 z^8 a^{-6} -z^8 a^{-8} +3 z^8 a^{-10} -6 z^7 a^{-5} -21 z^7 a^{-7} -14 z^7 a^{-9} +z^7 a^{-11} -14 z^6 a^{-8} -14 z^6 a^{-10} +9 z^5 a^{-5} +27 z^5 a^{-7} +14 z^5 a^{-9} -4 z^5 a^{-11} -z^4 a^{-4} +6 z^4 a^{-6} +22 z^4 a^{-8} +15 z^4 a^{-10} -z^3 a^{-3} -3 z^3 a^{-5} -6 z^3 a^{-7} -z^3 a^{-9} +3 z^3 a^{-11} -2 z^2 a^{-4} -3 z^2 a^{-6} -5 z^2 a^{-8} -4 z^2 a^{-10} -3 z a^{-5} -4 z a^{-7} -2 z a^{-9} -z a^{-11} +3 a^{-4} +2 a^{-6} }[/math] |
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