K13n3834
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Polynomial invariants
| Jones polynomial | Data:K13n3834/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+14 t-19+14 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3834/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-6} -5 z^4 a^{-2} -2 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} +z^4-5 z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +3 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} +2 z^9 a^{-1} -5 z^9 a^{-3} -4 z^9 a^{-5} +8 z^9 a^{-7} +5 z^9 a^{-9} -12 z^8 a^{-2} -23 z^8 a^{-4} -14 z^8 a^{-6} +4 z^8 a^{-10} +z^8-12 z^7 a^{-1} -3 z^7 a^{-3} -5 z^7 a^{-5} -33 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} +14 z^6 a^{-2} +47 z^6 a^{-4} +21 z^6 a^{-6} -21 z^6 a^{-8} -15 z^6 a^{-10} -6 z^6+18 z^5 a^{-1} +23 z^5 a^{-3} +28 z^5 a^{-5} +41 z^5 a^{-7} +15 z^5 a^{-9} -3 z^5 a^{-11} +3 z^4 a^{-2} -32 z^4 a^{-4} -17 z^4 a^{-6} +22 z^4 a^{-8} +14 z^4 a^{-10} +10 z^4-9 z^3 a^{-1} -15 z^3 a^{-3} -27 z^3 a^{-5} -27 z^3 a^{-7} -4 z^3 a^{-9} +2 z^3 a^{-11} -6 z^2 a^{-2} +10 z^2 a^{-4} +5 z^2 a^{-6} -6 z^2 a^{-8} -2 z^2 a^{-10} -7 z^2+z a^{-1} +4 z a^{-3} +8 z a^{-5} +6 z a^{-7} +z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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