K13n3767
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Polynomial invariants
| Jones polynomial | Data:K13n3767/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+10 t-13+10 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3767/Conway Polynomial |
| Determinant | 39 |
| 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} +4 z^4 a^{-6} -z^4 a^{-8} +z^4-5 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2-4 a^{-4} +4 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-1} -5 z^9 a^{-3} -6 z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -12 z^8 a^{-2} -23 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} +3 z^8 a^{-10} +z^8-12 z^7 a^{-1} -z^7 a^{-3} +7 z^7 a^{-5} -16 z^7 a^{-7} -11 z^7 a^{-9} +z^7 a^{-11} +15 z^6 a^{-2} +50 z^6 a^{-4} +28 z^6 a^{-6} -14 z^6 a^{-8} -13 z^6 a^{-10} -6 z^6+18 z^5 a^{-1} +16 z^5 a^{-3} +6 z^5 a^{-5} +22 z^5 a^{-7} +10 z^5 a^{-9} -4 z^5 a^{-11} +z^4 a^{-2} -42 z^4 a^{-4} -35 z^4 a^{-6} +14 z^4 a^{-8} +16 z^4 a^{-10} +10 z^4-8 z^3 a^{-1} -7 z^3 a^{-3} -14 z^3 a^{-5} -24 z^3 a^{-7} -5 z^3 a^{-9} +4 z^3 a^{-11} -4 z^2 a^{-2} +20 z^2 a^{-4} +17 z^2 a^{-6} -5 z^2 a^{-8} -5 z^2 a^{-10} -7 z^2+z a^{-3} +7 z a^{-5} +9 z a^{-7} +3 z a^{-9} -4 a^{-4} -4 a^{-6} - a^{-8} +2 }[/math] |
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