K12n355
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-3+4 q^{-1} -3 q^{-2} +2 q^{-3} - q^{-4} - q^{-5} +2 q^{-6} -2 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+2 t+1+2 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4-z^2+1 }[/math] |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-2 z^2 a^6-2 a^6+a^4+z^6 a^2+4 z^4 a^2+3 z^2 a^2-z^4-2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+3 a^5 z^9+a^3 z^9+a^8 z^8-5 a^6 z^8-6 a^4 z^8-13 a^7 z^7-22 a^5 z^7-7 a^3 z^7+2 a z^7-6 a^8 z^6+6 a^4 z^6+3 a^2 z^6+3 z^6+24 a^7 z^5+45 a^5 z^5+15 a^3 z^5-5 a z^5+z^5 a^{-1} +10 a^8 z^4+17 a^6 z^4+7 a^4 z^4-9 a^2 z^4-9 z^4-16 a^7 z^3-30 a^5 z^3-12 a^3 z^3-2 z^3 a^{-1} -6 a^8 z^2-13 a^6 z^2-7 a^4 z^2+4 a^2 z^2+4 z^2+4 a^7 z+7 a^5 z+3 a^3 z+a^8+2 a^6+a^4+1 }[/math] |
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