K12n462
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-2 q^3+3 q^2-4 q+5-4 q^{-1} +3 q^{-2} -2 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^4-2 z^2 a^2-2 a^2+z^4+2 z^2+3-2 z^2 a^{-2} -2 a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9+z^9 a^{-1} +a^2 z^8+z^8 a^{-2} +2 z^8-6 a z^7-6 z^7 a^{-1} -5 a^2 z^6-5 z^6 a^{-2} -10 z^6+2 a^3 z^5+15 a z^5+15 z^5 a^{-1} +2 z^5 a^{-3} +a^4 z^4+11 a^2 z^4+11 z^4 a^{-2} +z^4 a^{-4} +20 z^4-5 a^3 z^3-13 a z^3-13 z^3 a^{-1} -5 z^3 a^{-3} -3 a^4 z^2-9 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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