K12n437
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+q^5-q^4+3 q^2-4 q+6-6 q^{-1} +6 q^{-2} -4 q^{-3} +2 q^{-4} - q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+t^2-8 t+13-8 t^{-1} + t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+7 z^4+5 z^2+1 }[/math] |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +a^2 z^4+6 z^4 a^{-2} -z^4 a^{-4} +z^4-a^4 z^2+a^2 z^2+9 z^2 a^{-2} -4 z^2 a^{-4} -a^4+a^2+5 a^{-2} -3 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +a^2 z^8-9 z^8 a^{-2} -8 z^8 a^{-4} +2 a^3 z^7+3 a z^7-9 z^7 a^{-1} -18 z^7 a^{-3} -8 z^7 a^{-5} +2 a^4 z^6+a^2 z^6+25 z^6 a^{-2} +20 z^6 a^{-4} +4 z^6+a^5 z^5-3 a^3 z^5-4 a z^5+28 z^5 a^{-1} +49 z^5 a^{-3} +21 z^5 a^{-5} -5 a^4 z^4-5 a^2 z^4-26 z^4 a^{-2} -20 z^4 a^{-4} -6 z^4-3 a^5 z^3-a^3 z^3+a z^3-27 z^3 a^{-1} -48 z^3 a^{-3} -22 z^3 a^{-5} +3 a^4 z^2+3 a^2 z^2+15 z^2 a^{-2} +10 z^2 a^{-4} +5 z^2+2 a^5 z+a^3 z+8 z a^{-1} +15 z a^{-3} +8 z a^{-5} -a^4-a^2-5 a^{-2} -3 a^{-4} -1 }[/math] |
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