K12n717
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-1} -3 q^{-2} +6 q^{-3} -7 q^{-4} +9 q^{-5} -8 q^{-6} +7 q^{-7} -6 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+12 t-17+12 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+5 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+4 z^4 a^6+6 z^2 a^6+2 a^6-z^4 a^4+a^4+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+12 z^4 a^{10}-3 z^2 a^{10}+3 z^9 a^9-10 z^7 a^9+4 z^5 a^9+3 z^3 a^9+z a^9+z^{10} a^8+z^8 a^8-14 z^6 a^8+12 z^4 a^8+z^2 a^8-2 a^8+4 z^9 a^7-14 z^7 a^7+12 z^5 a^7-6 z^3 a^7+3 z a^7+z^{10} a^6-2 z^8 a^6-z^6 a^6+z^4 a^6+z^2 a^6-2 a^6+z^9 a^5-3 z^7 a^5+4 z^5 a^5-2 z^3 a^5+z^6 a^4+z^4 a^4-2 z^2 a^4+a^4+2 z^3 a^3+z^2 a^2 }[/math] |
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