K12n629
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-4+6 q^{-1} -5 q^{-2} +5 q^{-3} -4 q^{-4} + q^{-5} - q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+6 t-5+6 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4-z^2+1 }[/math] |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-z^2 a^6-a^6-z^4 a^4-3 z^2 a^4-2 a^4+z^6 a^2+4 z^4 a^2+5 z^2 a^2+3 a^2-z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^9+a^5 z^9+a^8 z^8+a^6 z^8+a^4 z^8+a^2 z^8-8 a^7 z^7-9 a^5 z^7+2 a^3 z^7+3 a z^7-7 a^8 z^6-10 a^6 z^6-5 a^4 z^6+a^2 z^6+3 z^6+19 a^7 z^5+26 a^5 z^5-a^3 z^5-7 a z^5+z^5 a^{-1} +14 a^8 z^4+25 a^6 z^4+12 a^4 z^4-7 a^2 z^4-8 z^4-17 a^7 z^3-26 a^5 z^3-5 a^3 z^3+2 a z^3-2 z^3 a^{-1} -9 a^8 z^2-16 a^6 z^2-5 a^4 z^2+6 a^2 z^2+4 z^2+6 a^7 z+11 a^5 z+5 a^3 z+a^8+a^6-2 a^4-3 a^2 }[/math] |
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