K12n380
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+6 q^4-10 q^3+12 q^2-13 q+14-10 q^{-1} +7 q^{-2} -4 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^2 z^2-4 z^2 a^{-2} +2 z^2 a^{-4} +z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} +a^2 z^8+4 z^8 a^{-2} +4 z^8 a^{-4} +z^8-5 a z^7-12 z^7 a^{-1} -4 z^7 a^{-3} +3 z^7 a^{-5} +a^2 z^6-15 z^6 a^{-2} -10 z^6 a^{-4} +z^6 a^{-6} -3 z^6+4 a^3 z^5+13 a z^5+13 z^5 a^{-1} -5 z^5 a^{-3} -9 z^5 a^{-5} +a^4 z^4+15 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} +6 z^4-5 a^3 z^3-9 a z^3-4 z^3 a^{-1} +7 z^3 a^{-3} +7 z^3 a^{-5} -a^4 z^2-a^2 z^2-8 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2-2 z a^{-1} -4 z a^{-3} -2 z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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