K12n466
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ - q^{-1} +3 q^{-2} -4 q^{-3} +7 q^{-4} -8 q^{-5} +9 q^{-6} -8 q^{-7} +6 q^{-8} -4 q^{-9} +2 q^{-10} - q^{-11} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+7 t^2-10 t+11-10 t^{-1} +7 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+5 z^6+9 z^4+7 z^2+1 }[/math] |
| Determinant | 53 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-5 z^4 a^8-8 z^2 a^8-4 a^8+z^8 a^6+7 z^6 a^6+18 z^4 a^6+19 z^2 a^6+6 a^6-z^6 a^4-4 z^4 a^4-4 z^2 a^4-a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+z a^{13}+2 z^6 a^{12}-5 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-9 z^5 a^{11}+8 z^3 a^{11}-3 z a^{11}+3 z^8 a^{10}-10 z^6 a^{10}+13 z^4 a^{10}-5 z^2 a^{10}+2 z^9 a^9-6 z^7 a^9+7 z^5 a^9+z^3 a^9+z^{10} a^8-3 z^8 a^8+6 z^6 a^8-6 z^4 a^8+10 z^2 a^8-4 a^8+3 z^9 a^7-14 z^7 a^7+31 z^5 a^7-27 z^3 a^7+8 z a^7+z^{10} a^6-6 z^8 a^6+21 z^6 a^6-33 z^4 a^6+22 z^2 a^6-6 a^6+z^9 a^5-5 z^7 a^5+15 z^5 a^5-20 z^3 a^5+6 z a^5+3 z^6 a^4-9 z^4 a^4+6 z^2 a^4-a^4+z^5 a^3-3 z^3 a^3+2 z a^3 }[/math] |
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