K12n554
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-3 q^2+4 q-5+7 q^{-1} -4 q^{-2} +4 q^{-3} -3 q^{-4} - q^{-5} + q^{-6} - q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+7 t-9+7 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4-z^2+1 }[/math] |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-z^2 a^6-a^6-2 a^4-z^4 a^2+3 a^2-z^4-z^2+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^9+a^5 z^9+a^3 z^9+a z^9+a^8 z^8+2 a^6 z^8+2 a^4 z^8+4 a^2 z^8+3 z^8-7 a^7 z^7-9 a^5 z^7-5 a^3 z^7+3 z^7 a^{-1} -7 a^8 z^6-16 a^6 z^6-16 a^4 z^6-19 a^2 z^6+z^6 a^{-2} -11 z^6+15 a^7 z^5+23 a^5 z^5+9 a^3 z^5-10 a z^5-11 z^5 a^{-1} +15 a^8 z^4+34 a^6 z^4+36 a^4 z^4+30 a^2 z^4-3 z^4 a^{-2} +10 z^4-15 a^7 z^3-26 a^5 z^3-11 a^3 z^3+8 a z^3+8 z^3 a^{-1} -11 a^8 z^2-22 a^6 z^2-22 a^4 z^2-17 a^2 z^2+z^2 a^{-2} -5 z^2+8 a^7 z+17 a^5 z+11 a^3 z+2 a z+a^8+a^6-2 a^4-3 a^2 }[/math] |
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