K12n611
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+4 q^5-7 q^4+10 q^3-12 q^2+12 q-11+9 q^{-1} -5 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+17 t-19+17 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4-z^2+1 }[/math] |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +3 z^2-2 a^{-2} + a^{-4} +2 }[/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+2 z^8 a^{-2} +2 z^8 a^{-4} +3 z^8+a^3 z^7-10 a z^7-13 z^7 a^{-1} -z^7 a^{-3} +z^7 a^{-5} -13 a^2 z^6-6 z^6 a^{-2} -19 z^6-4 a^3 z^5+8 a z^5+11 z^5 a^{-1} +2 z^5 a^{-3} +3 z^5 a^{-5} +17 a^2 z^4+2 z^4 a^{-2} +z^4 a^{-4} +4 z^4 a^{-6} +22 z^4+4 a^3 z^3-2 a z^3-13 z^3 a^{-1} -9 z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} -6 a^2 z^2-6 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-6} -11 z^2+2 a z+6 z a^{-1} +5 z a^{-3} +z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math] |
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