K13n3369
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Polynomial invariants
| Jones polynomial | Data:K13n3369/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-9 t^3+31 t^2-57 t+69-57 t^{-1} +31 t^{-2} -9 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3369/Conway Polynomial |
| Determinant | 265 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +3 z^6 a^{-4} -3 z^6 a^{-6} -z^4 a^{-2} +3 z^4 a^{-4} -7 z^4 a^{-6} +2 z^4 a^{-8} +2 z^2 a^{-2} -2 z^2 a^{-6} +2 z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +12 z^{10} a^{-4} +25 z^{10} a^{-6} +13 z^{10} a^{-8} +13 z^9 a^{-3} +27 z^9 a^{-5} +29 z^9 a^{-7} +15 z^9 a^{-9} +6 z^8 a^{-2} -15 z^8 a^{-4} -40 z^8 a^{-6} -12 z^8 a^{-8} +7 z^8 a^{-10} +z^7 a^{-1} -33 z^7 a^{-3} -95 z^7 a^{-5} -88 z^7 a^{-7} -26 z^7 a^{-9} +z^7 a^{-11} -13 z^6 a^{-2} -22 z^6 a^{-4} -15 z^6 a^{-6} -4 z^6 a^{-8} +2 z^6 a^{-10} -z^5 a^{-1} +24 z^5 a^{-3} +77 z^5 a^{-5} +76 z^5 a^{-7} +35 z^5 a^{-9} +11 z^5 a^{-11} +7 z^4 a^{-2} +26 z^4 a^{-4} +28 z^4 a^{-6} +5 z^4 a^{-8} -z^4 a^{-10} +3 z^4 a^{-12} -4 z^3 a^{-3} -20 z^3 a^{-5} -31 z^3 a^{-7} -23 z^3 a^{-9} -8 z^3 a^{-11} +2 z^2 a^{-2} -z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +5 z a^{-7} +5 z a^{-9} +z a^{-11} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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