K12n475
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+q^5-q^4+2 q^3-q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-2 t^2+t+1+ t^{-1} -2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+4 z^4+2 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +6 z^4 a^{-2} -z^4 a^{-4} -z^4+11 z^2 a^{-2} -4 z^2 a^{-4} -5 z^2+a^2+7 a^{-2} -3 a^{-4} -4 }[/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} -8 z^8 a^{-2} -8 z^8 a^{-4} -7 z^7 a^{-1} -15 z^7 a^{-3} -8 z^7 a^{-5} +23 z^6 a^{-2} +22 z^6 a^{-4} +z^6+15 z^5 a^{-1} +36 z^5 a^{-3} +21 z^5 a^{-5} -33 z^4 a^{-2} -26 z^4 a^{-4} -7 z^4-a z^3-13 z^3 a^{-1} -32 z^3 a^{-3} -20 z^3 a^{-5} +25 z^2 a^{-2} +14 z^2 a^{-4} +11 z^2+a z+5 z a^{-1} +9 z a^{-3} +5 z a^{-5} -a^2-7 a^{-2} -3 a^{-4} -4 }[/math] |
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