K12n142
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-3 q^4+5 q^3-6 q^2+7 q-7+6 q^{-1} -4 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+10 t-11+10 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4-z^2+1 }[/math] |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-2 z^4 a^{-2} +4 z^4-2 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +5 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8-z^8 a^{-2} +z^8 a^{-4} +z^8+a^3 z^7-13 a z^7-24 z^7 a^{-1} -10 z^7 a^{-3} -14 a^2 z^6-12 z^6 a^{-2} -5 z^6 a^{-4} -21 z^6-4 a^3 z^5+14 a z^5+34 z^5 a^{-1} +16 z^5 a^{-3} +17 a^2 z^4+25 z^4 a^{-2} +9 z^4 a^{-4} +33 z^4+3 a^3 z^3-6 a z^3-19 z^3 a^{-1} -9 z^3 a^{-3} +z^3 a^{-5} -6 a^2 z^2-15 z^2 a^{-2} -5 z^2 a^{-4} -16 z^2+a z+3 z a^{-1} +2 z a^{-3} +2 a^{-2} + a^{-4} +2 }[/math] |
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