K12n390
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^5-5 q^4+7 q^3-9 q^2+10 q-9+8 q^{-1} -5 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+14 t-17+14 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^2+1 }[/math] |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-3 z^4 a^{-2} +4 z^4-2 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} +7 z^2-a^2-5 a^{-2} +2 a^{-4} +5 }[/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} +3 z^8+a^3 z^7-10 a z^7-17 z^7 a^{-1} -6 z^7 a^{-3} -13 a^2 z^6-14 z^6 a^{-2} -2 z^6 a^{-4} -25 z^6-4 a^3 z^5+4 a z^5+13 z^5 a^{-1} +6 z^5 a^{-3} +z^5 a^{-5} +16 a^2 z^4+24 z^4 a^{-2} +5 z^4 a^{-4} +35 z^4+4 a^3 z^3+5 a z^3-z^3 a^{-1} +z^3 a^{-3} +3 z^3 a^{-5} -7 a^2 z^2-19 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} -20 z^2-a^3 z-2 a z-2 z a^{-1} -3 z a^{-3} -2 z a^{-5} +a^2+5 a^{-2} +2 a^{-4} +5 }[/math] |
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