K12n438
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-2 q^5+2 q^4-3 q^3+4 q^2-3 q+3-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-4 t+5-4 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4-z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +z^4 a^{-4} +z^4-7 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} -4 z^8 a^{-2} -5 z^8 a^{-4} +z^8-12 z^7 a^{-1} -17 z^7 a^{-3} -5 z^7 a^{-5} -z^6 a^{-2} +6 z^6 a^{-4} +z^6 a^{-6} -6 z^6+21 z^5 a^{-1} +27 z^5 a^{-3} +6 z^5 a^{-5} +14 z^4 a^{-2} -2 z^4 a^{-4} -5 z^4 a^{-6} +11 z^4-11 z^3 a^{-1} -14 z^3 a^{-3} -4 z^3 a^{-5} -z^3 a^{-7} -12 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} -7 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math] |
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