K12a803
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-q^9+q^8-2 q^7+2 q^6-2 q^5+2 q^4-2 q^3+2 q^2-2 q+2- q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -5 t+11-5 t^{-1} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-5 z^2 }[/math] |
| Determinant | 21 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2-z^2-z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +2 z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-5} -8 z^9 a^{-7} -9 z^9 a^{-9} +z^8 a^{-4} -6 z^8 a^{-6} -16 z^8 a^{-8} -9 z^8 a^{-10} +z^7 a^{-3} -5 z^7 a^{-5} +23 z^7 a^{-7} +29 z^7 a^{-9} +z^6 a^{-2} -4 z^6 a^{-4} +10 z^6 a^{-6} +43 z^6 a^{-8} +28 z^6 a^{-10} +z^5 a^{-1} -3 z^5 a^{-3} +6 z^5 a^{-5} -31 z^5 a^{-7} -41 z^5 a^{-9} -2 z^4 a^{-2} +3 z^4 a^{-4} -4 z^4 a^{-6} -45 z^4 a^{-8} -35 z^4 a^{-10} +z^4+a z^3-z^3 a^{-1} +z^3 a^{-3} -z^3 a^{-5} +21 z^3 a^{-7} +25 z^3 a^{-9} +a^2 z^2+16 z^2 a^{-8} +15 z^2 a^{-10} -5 z a^{-7} -5 z a^{-9} -a^2- a^{-8} - a^{-10} }[/math] |
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