K12n457
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-2+3 q^{-1} -3 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} + q^{-6} - q^{-7} + q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t-5+3 t^{-1} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+4 z^2 a^6+3 a^6+z^2 a^4-z^4 a^2-2 z^2 a^2-a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+2 a^7 z^9+a^5 z^9-8 a^8 z^8-8 a^6 z^8-8 a^9 z^7-16 a^7 z^7-8 a^5 z^7+21 a^8 z^6+20 a^6 z^6+a^2 z^6+21 a^9 z^5+39 a^7 z^5+19 a^5 z^5+3 a^3 z^5+2 a z^5-23 a^8 z^4-21 a^6 z^4+2 a^4 z^4+a^2 z^4+z^4-21 a^9 z^3-34 a^7 z^3-14 a^5 z^3-5 a^3 z^3-4 a z^3+11 a^8 z^2+13 a^6 z^2-a^4 z^2-5 a^2 z^2-2 z^2+6 a^9 z+9 a^7 z+4 a^5 z+2 a^3 z+a z-2 a^8-3 a^6+a^2+1 }[/math] |
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