K12n347
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-1} -2 q^{-2} +4 q^{-3} -4 q^{-4} +5 q^{-5} -5 q^{-6} +4 q^{-7} -3 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+7 t-9+7 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4+4 z^2+1 }[/math] |
| Determinant | 31 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+z^6 a^6+5 z^4 a^6+8 z^2 a^6+3 a^6-z^4 a^4-2 z^2 a^4-a^4+z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+6 z^3 a^{11}-z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+13 z^4 a^{10}-4 z^2 a^{10}+2 z^9 a^9-10 z^7 a^9+15 z^5 a^9-11 z^3 a^9+4 z a^9+z^{10} a^8-4 z^8 a^8+4 z^6 a^8-4 z^4 a^8+4 z^2 a^8-2 a^8+3 z^9 a^7-17 z^7 a^7+34 z^5 a^7-31 z^3 a^7+8 z a^7+z^{10} a^6-6 z^8 a^6+15 z^6 a^6-20 z^4 a^6+12 z^2 a^6-3 a^6+z^9 a^5-6 z^7 a^5+14 z^5 a^5-13 z^3 a^5+4 z a^5+z^6 a^4-3 z^4 a^4+5 z^2 a^4-a^4+z^3 a^3+z a^3+z^2 a^2-a^2 }[/math] |
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