K13n2736
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Polynomial invariants
| Jones polynomial | Data:K13n2736/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+25 t^2-42 t+49-42 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2736/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -3 z^6 a^{-6} -2 z^4 a^{-2} +7 z^4 a^{-4} -10 z^4 a^{-6} +2 z^4 a^{-8} +7 z^2 a^{-4} -10 z^2 a^{-6} +5 z^2 a^{-8} + a^{-2} +2 a^{-4} -4 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +13 z^{10} a^{-6} +6 z^{10} a^{-8} +9 z^9 a^{-3} +19 z^9 a^{-5} +16 z^9 a^{-7} +6 z^9 a^{-9} +5 z^8 a^{-2} -4 z^8 a^{-4} -12 z^8 a^{-6} -z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -24 z^7 a^{-3} -62 z^7 a^{-5} -41 z^7 a^{-7} -4 z^7 a^{-9} -14 z^6 a^{-2} -33 z^6 a^{-4} -36 z^6 a^{-6} -10 z^6 a^{-8} +7 z^6 a^{-10} -2 z^5 a^{-1} +17 z^5 a^{-3} +47 z^5 a^{-5} +28 z^5 a^{-7} +6 z^5 a^{-9} +6 z^5 a^{-11} +12 z^4 a^{-2} +41 z^4 a^{-4} +48 z^4 a^{-6} +16 z^4 a^{-8} -2 z^4 a^{-10} +z^4 a^{-12} +z^3 a^{-1} -3 z^3 a^{-3} -13 z^3 a^{-5} -10 z^3 a^{-7} -2 z^3 a^{-9} -z^3 a^{-11} -2 z^2 a^{-2} -15 z^2 a^{-4} -23 z^2 a^{-6} -13 z^2 a^{-8} -3 z^2 a^{-10} +z a^{-3} +2 z a^{-5} +2 z a^{-7} -z a^{-11} - a^{-2} +2 a^{-4} +4 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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