K12n807
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-4 q^9+7 q^8-9 q^7+10 q^6-10 q^5+8 q^4-5 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-12 t+13-12 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4+2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} +3 z^4 a^{-4} -9 z^4 a^{-6} +2 z^4 a^{-8} +9 z^2 a^{-4} -13 z^2 a^{-6} +6 z^2 a^{-8} +5 a^{-4} -7 a^{-6} +4 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-6} +5 z^8 a^{-8} +z^8 a^{-10} +3 z^7 a^{-5} +4 z^7 a^{-7} +z^7 a^{-9} -13 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -6 z^5 a^{-5} -13 z^5 a^{-7} -3 z^5 a^{-9} +4 z^5 a^{-11} +6 z^4 a^{-4} +25 z^4 a^{-6} +18 z^4 a^{-8} +z^4 a^{-12} +5 z^3 a^{-5} +15 z^3 a^{-7} +6 z^3 a^{-9} -4 z^3 a^{-11} -13 z^2 a^{-4} -24 z^2 a^{-6} -13 z^2 a^{-8} -3 z^2 a^{-10} -z^2 a^{-12} -3 z a^{-5} -5 z a^{-7} -3 z a^{-9} -z a^{-11} +5 a^{-4} +7 a^{-6} +4 a^{-8} + a^{-10} }[/math] |
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