K12n199
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} - q^{-4} +2 q^{-5} - q^{-6} +2 q^{-7} -2 q^{-8} + q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2+2 t-3+2 t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+7 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-4 z^2 a^8-4 a^8+z^6 a^6+6 z^4 a^6+11 z^2 a^6+6 a^6-a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-6 z^5 a^{11}+10 z^3 a^{11}-5 z a^{11}+z^8 a^{10}-5 z^6 a^{10}+5 z^4 a^{10}+z^9 a^9-5 z^7 a^9+5 z^5 a^9+z^{10} a^8-7 z^8 a^8+18 z^6 a^8-26 z^4 a^8+19 z^2 a^8-4 a^8+2 z^9 a^7-14 z^7 a^7+32 z^5 a^7-31 z^3 a^7+10 z a^7+z^{10} a^6-8 z^8 a^6+23 z^6 a^6-32 z^4 a^6+21 z^2 a^6-6 a^6+z^9 a^5-8 z^7 a^5+21 z^5 a^5-22 z^3 a^5+7 z a^5-z^4 a^4+2 z^2 a^4-a^4-z^3 a^3+2 z a^3 }[/math] |
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