K12n604
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ - q^{-1} +4 q^{-2} -6 q^{-3} +11 q^{-4} -13 q^{-5} +13 q^{-6} -13 q^{-7} +10 q^{-8} -6 q^{-9} +3 q^{-10} - q^{-11} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-16 t+19-16 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+4 z^6+6 z^4+4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-4 z^4 a^8-5 z^2 a^8-a^8+z^8 a^6+6 z^6 a^6+13 z^4 a^6+10 z^2 a^6-z^6 a^4-3 z^4 a^4-z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+3 z^6 a^{12}-6 z^4 a^{12}+2 z^2 a^{12}+5 z^7 a^{11}-11 z^5 a^{11}+8 z^3 a^{11}-2 z a^{11}+5 z^8 a^{10}-10 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+3 z^9 a^9-3 z^7 a^9+z^5 a^9+2 z^3 a^9-z a^9+z^{10} a^8+2 z^8 a^8-2 z^6 a^8-z^4 a^8+4 z^2 a^8-a^8+4 z^9 a^7-10 z^7 a^7+20 z^5 a^7-17 z^3 a^7+z a^7+z^{10} a^6-3 z^8 a^6+15 z^6 a^6-24 z^4 a^6+11 z^2 a^6+z^9 a^5-2 z^7 a^5+8 z^5 a^5-11 z^3 a^5+z a^5+4 z^6 a^4-9 z^4 a^4+4 z^2 a^4+2 a^4+z^5 a^3-2 z^3 a^3+z a^3 }[/math] |
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