K12n352
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+2 q^4-q^3+q^2-1+2 q^{-1} -3 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+t+3+ t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4-2 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4+5 z^4+a^4 z^2-7 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +6 z^2+2 a^4-4 a^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-3 a^2 z^8+z^8 a^{-2} -3 z^8-12 a^3 z^7-25 a z^7-12 z^7 a^{-1} +z^7 a^{-3} -6 a^4 z^6-9 a^2 z^6-6 z^6 a^{-2} +2 z^6 a^{-4} -11 z^6+21 a^3 z^5+42 a z^5+15 z^5 a^{-1} -5 z^5 a^{-3} +z^5 a^{-5} +11 a^4 z^4+29 a^2 z^4+5 z^4 a^{-2} -8 z^4 a^{-4} +31 z^4-14 a^3 z^3-22 a z^3-2 z^3 a^{-1} +3 z^3 a^{-3} -3 z^3 a^{-5} -8 a^4 z^2-22 a^2 z^2+4 z^2 a^{-4} -18 z^2+3 a^3 z+3 a z-z a^{-1} -z a^{-3} +2 a^4+4 a^2+3 }[/math] |
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