K12n180
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-4 q^3+8 q^2-12 q+16-16 q^{-1} +15 q^{-2} -12 q^{-3} +8 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-22 t+29-22 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4+1 }[/math] |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+z^4 a^{-2} -2 z^4+a^4 z^2-a^2 z^2+z^2 a^{-2} -z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+4 a^3 z^9+6 a z^9+2 z^9 a^{-1} +6 a^4 z^8+9 a^2 z^8+z^8 a^{-2} +4 z^8+4 a^5 z^7-2 a^3 z^7-8 a z^7-2 z^7 a^{-1} +a^6 z^6-14 a^4 z^6-26 a^2 z^6+2 z^6 a^{-2} -9 z^6-10 a^5 z^5-15 a^3 z^5-3 a z^5+6 z^5 a^{-1} +4 z^5 a^{-3} -2 a^6 z^4+6 a^4 z^4+18 a^2 z^4+z^4 a^{-4} +9 z^4+6 a^5 z^3+13 a^3 z^3+9 a z^3-2 z^3 a^{-1} -4 z^3 a^{-3} +a^6 z^2-a^4 z^2-4 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -2 z^2-a^5 z-3 a^3 z-3 a z-z a^{-1} +1 }[/math] |
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