K13n1170
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Polynomial invariants
| Jones polynomial | Data:K13n1170/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-10 t+11-10 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1170/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -4 z^4 a^{-4} +2 z^4 a^{-6} +z^4-4 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +3 z^2- a^{-2} -3 a^{-4} +5 a^{-6} -2 a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +4 z^{10} a^{-6} +2 z^{10} a^{-8} +2 z^9 a^{-3} -3 z^9 a^{-5} -4 z^9 a^{-7} +z^9 a^{-9} +2 z^8 a^{-2} -9 z^8 a^{-4} -25 z^8 a^{-6} -14 z^8 a^{-8} +z^7 a^{-1} -6 z^7 a^{-3} -2 z^7 a^{-5} -2 z^7 a^{-7} -7 z^7 a^{-9} -6 z^6 a^{-2} +15 z^6 a^{-4} +54 z^6 a^{-6} +33 z^6 a^{-8} +2 z^5 a^{-3} +7 z^5 a^{-5} +21 z^5 a^{-7} +16 z^5 a^{-9} +6 z^4 a^{-2} -21 z^4 a^{-4} -54 z^4 a^{-6} -31 z^4 a^{-8} +4 z^4+2 a z^3-3 z^3 a^{-1} -2 z^3 a^{-5} -20 z^3 a^{-7} -13 z^3 a^{-9} +a^2 z^2-6 z^2 a^{-2} +16 z^2 a^{-4} +28 z^2 a^{-6} +12 z^2 a^{-8} -5 z^2+z a^{-1} +4 z a^{-7} +3 z a^{-9} + a^{-2} -3 a^{-4} -5 a^{-6} -2 a^{-8} +2 }[/math] |
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