K12n323
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^3+5 q^2-7 q+9-9 q^{-1} +9 q^{-2} -6 q^{-3} +4 q^{-4} -2 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-13 t+19-13 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4+3 z^2+1 }[/math] |
| Determinant | 53 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^4-2 a^4+2 z^4 a^2+4 z^2 a^2+3 a^2+2 z^4+3 z^2+1-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+a z^9+a^4 z^8+4 a^2 z^8+3 z^8-a^3 z^7+2 a z^7+3 z^7 a^{-1} -7 a^2 z^6+z^6 a^{-2} -6 z^6+3 a^5 z^5+3 a^3 z^5-4 a z^5-4 z^5 a^{-1} -6 a^4 z^4+4 z^4 a^{-2} +10 z^4-8 a^5 z^3-11 a^3 z^3+6 z^3 a^{-1} +3 z^3 a^{-3} +6 a^4 z^2+5 a^2 z^2-5 z^2 a^{-2} -6 z^2+4 a^5 z+6 a^3 z+a z-3 z a^{-1} -2 z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
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