K12n514
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-1} -2 q^{-2} +4 q^{-3} -5 q^{-4} +6 q^{-5} -5 q^{-6} +5 q^{-7} -4 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+8 t-11+8 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 35 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+z^6 a^6+5 z^4 a^6+9 z^2 a^6+5 a^6-z^4 a^4-2 z^2 a^4-2 a^4+z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+2 z^9 a^9-8 z^7 a^9+6 z^5 a^9+z^{10} a^8-3 z^8 a^8+z^6 a^8-5 z^4 a^8+9 z^2 a^8-3 a^8+3 z^9 a^7-14 z^7 a^7+20 z^5 a^7-14 z^3 a^7+4 z a^7+z^{10} a^6-5 z^8 a^6+11 z^6 a^6-18 z^4 a^6+16 z^2 a^6-5 a^6+z^9 a^5-5 z^7 a^5+9 z^5 a^5-6 z^3 a^5+z a^5+z^6 a^4-3 z^4 a^4+5 z^2 a^4-2 a^4+z^3 a^3+z^2 a^2-a^2 }[/math] |
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