K12n388
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+2 q^6-4 q^5+6 q^4-6 q^3+8 q^2-7 q+5-4 q^{-1} +2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-10 t+13-10 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+z^2+1 }[/math] |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +z^4-5 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +z^2+a^2- a^{-2} +4 a^{-4} -2 a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -2 z^8 a^{-2} -z^8 a^{-4} +2 z^8 a^{-6} +z^8-9 z^7 a^{-1} -17 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -3 z^6 a^{-2} -9 z^6 a^{-4} -9 z^6 a^{-6} -3 z^6+a z^5+14 z^5 a^{-1} +20 z^5 a^{-3} +2 z^5 a^{-5} -5 z^5 a^{-7} +6 z^4 a^{-2} +14 z^4 a^{-4} +11 z^4 a^{-6} +3 z^4+a z^3-5 z^3 a^{-1} -7 z^3 a^{-3} +6 z^3 a^{-5} +7 z^3 a^{-7} +2 a^2 z^2-2 z^2 a^{-2} -9 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2-2 a z-3 z a^{-1} -2 z a^{-3} -4 z a^{-5} -3 z a^{-7} -a^2+ a^{-2} +4 a^{-4} +2 a^{-6} -1 }[/math] |
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