K12n630
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-q^5+q^4-2 q^2+2 q-3+4 q^{-1} -3 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+3 t+1+3 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4-4 z^2+1 }[/math] |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +4 z^4-2 a^2 z^2-4 z^2 a^{-2} -z^2 a^{-4} +3 z^2+a^2-2 a^{-2} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^9+2 z^9 a^{-1} +3 a^2 z^8+2 z^8 a^{-2} +5 z^8+a^3 z^7-9 a z^7-12 z^7 a^{-1} -z^7 a^{-3} +z^7 a^{-5} -15 a^2 z^6-14 z^6 a^{-2} +z^6 a^{-6} -28 z^6-4 a^3 z^5+8 a z^5+21 z^5 a^{-1} +4 z^5 a^{-3} -5 z^5 a^{-5} +19 a^2 z^4+26 z^4 a^{-2} -2 z^4 a^{-4} -5 z^4 a^{-6} +42 z^4+3 a^3 z^3-2 a z^3-19 z^3 a^{-1} -9 z^3 a^{-3} +5 z^3 a^{-5} -6 a^2 z^2-18 z^2 a^{-2} +z^2 a^{-4} +6 z^2 a^{-6} -19 z^2+3 a z+9 z a^{-1} +5 z a^{-3} -z a^{-5} -a^2+2 a^{-2} - a^{-6} +1 }[/math] |
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