K12n393
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q+4-5 q^{-1} +7 q^{-2} -8 q^{-3} +8 q^{-4} -7 q^{-5} +5 q^{-6} -3 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-12 t+19-12 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-3 z^2 a^6-3 a^6+2 z^4 a^4+4 z^2 a^4+3 a^4+z^4 a^2-a^2-z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+8 a^5 z^9+5 a^3 z^9+a^8 z^8-6 a^6 z^8-3 a^4 z^8+4 a^2 z^8-16 a^7 z^7-41 a^5 z^7-24 a^3 z^7+a z^7-5 a^8 z^6-7 a^6 z^6-20 a^4 z^6-18 a^2 z^6+26 a^7 z^5+62 a^5 z^5+33 a^3 z^5-3 a z^5+8 a^8 z^4+27 a^6 z^4+40 a^4 z^4+21 a^2 z^4-15 a^7 z^3-35 a^5 z^3-20 a^3 z^3-5 a^8 z^2-18 a^6 z^2-22 a^4 z^2-9 a^2 z^2+3 a^7 z+7 a^5 z+5 a^3 z+a z+a^8+3 a^6+3 a^4+a^2+1 }[/math] |
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