K12n564
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-1} -3 q^{-2} +5 q^{-3} -6 q^{-4} +6 q^{-5} -6 q^{-6} +5 q^{-7} -3 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+10 t-15+10 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4+2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+2 a^8-z^4 a^6-z^2 a^6-a^6-z^4 a^4-z^2 a^4-a^4+2 z^2 a^2+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}+14 z^4 a^{10}-7 z^2 a^{10}+a^{10}+2 z^9 a^9-9 z^7 a^9+11 z^5 a^9-7 z^3 a^9+3 z a^9+z^{10} a^8-2 z^8 a^8-7 z^6 a^8+17 z^4 a^8-13 z^2 a^8+2 a^8+4 z^9 a^7-21 z^7 a^7+38 z^5 a^7-32 z^3 a^7+9 z a^7+z^{10} a^6-3 z^8 a^6-z^6 a^6+9 z^4 a^6-8 z^2 a^6+a^6+2 z^9 a^5-11 z^7 a^5+23 z^5 a^5-20 z^3 a^5+7 z a^5+z^8 a^4-4 z^6 a^4+6 z^4 a^4-a^4+z^5 a^3-z^3 a^3+2 z a^3+2 z^2 a^2-2 a^2 }[/math] |
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