K12n192
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+q^2-q+1+2 q^{-1} -3 q^{-2} +5 q^{-3} -5 q^{-4} +5 q^{-5} -4 q^{-6} +2 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-t^3-2 t^2+7 t-9+7 t^{-1} -2 t^{-2} - t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+7 z^6+12 z^4+6 z^2+1 }[/math] |
| Determinant | 23 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+8 a^2 z^6-z^6-a^6 z^4-2 a^4 z^4+21 a^2 z^4-6 z^4-2 a^6 z^2-5 a^4 z^2+23 a^2 z^2-10 z^2-a^6-3 a^4+9 a^2-4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+2 a z^9+z^9 a^{-1} +a^6 z^8-9 a^2 z^8-8 z^8+2 a^7 z^7+2 a^5 z^7-9 a^3 z^7-17 a z^7-8 z^7 a^{-1} +2 a^8 z^6-a^6 z^6+2 a^4 z^6+26 a^2 z^6+21 z^6+a^9 z^5-4 a^7 z^5-3 a^5 z^5+25 a^3 z^5+44 a z^5+21 z^5 a^{-1} -5 a^8 z^4+a^6 z^4-4 a^4 z^4-34 a^2 z^4-24 z^4-3 a^9 z^3+a^7 z^3+2 a^5 z^3-23 a^3 z^3-42 a z^3-21 z^3 a^{-1} +2 a^8 z^2-4 a^6 z^2+7 a^4 z^2+27 a^2 z^2+14 z^2+2 a^9 z-a^7 z-a^5 z+9 a^3 z+13 a z+6 z a^{-1} +a^6-3 a^4-9 a^2-4 }[/math] |
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