K12n650
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+4 q^4-4 q^3+4 q^2-3 q+2- q^{-2} +2 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-4 t+7-4 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4+1 }[/math] |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +6 z^4-3 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9+2 z^9 a^{-1} +z^9 a^{-3} +2 a^2 z^8+4 z^8 a^{-2} +3 z^8 a^{-4} +3 z^8+a^3 z^7-6 a z^7-12 z^7 a^{-1} -2 z^7 a^{-3} +3 z^7 a^{-5} -12 a^2 z^6-23 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} -22 z^6-5 a^3 z^5+6 a z^5+16 z^5 a^{-1} -6 z^5 a^{-3} -11 z^5 a^{-5} +18 a^2 z^4+36 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} +41 z^4+5 a^3 z^3+2 a z^3-2 z^3 a^{-1} +8 z^3 a^{-3} +7 z^3 a^{-5} -9 a^2 z^2-19 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -23 z^2-a^3 z-2 a z-2 z a^{-1} -2 z a^{-3} -z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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