K12n69
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-6 q^5+9 q^4-11 q^3+12 q^2-11 q+10-6 q^{-1} +3 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-17 t+23-17 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-4 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +4 z^2-a^2-2 a^{-2} +2 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +5 z^8 a^{-2} +5 z^8 a^{-4} +3 z^8 a^{-6} +3 z^8+a z^7-7 z^7 a^{-1} -17 z^7 a^{-3} -8 z^7 a^{-5} +z^7 a^{-7} -26 z^6 a^{-2} -29 z^6 a^{-4} -12 z^6 a^{-6} -9 z^6+4 z^5 a^{-1} +7 z^5 a^{-3} -z^5 a^{-5} -4 z^5 a^{-7} +3 a^2 z^4+32 z^4 a^{-2} +33 z^4 a^{-4} +14 z^4 a^{-6} +16 z^4+a^3 z^3+3 a z^3+3 z^3 a^{-1} +4 z^3 a^{-3} +8 z^3 a^{-5} +5 z^3 a^{-7} -3 a^2 z^2-15 z^2 a^{-2} -14 z^2 a^{-4} -6 z^2 a^{-6} -10 z^2-a^3 z-2 a z-2 z a^{-1} -2 z a^{-3} -3 z a^{-5} -2 z a^{-7} +a^2+2 a^{-2} +2 a^{-4} + a^{-6} +3 }[/math] |
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