K13n1964
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Polynomial invariants
| Jones polynomial | Data:K13n1964/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-3+3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1964/Conway Polynomial |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -5 z^4 a^{-4} +2 z^4 a^{-6} +2 z^2 a^{-2} -6 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +z^2+2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/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} +z^9 a^{-3} -4 z^9 a^{-5} -4 z^9 a^{-7} +z^9 a^{-9} -14 z^8 a^{-4} -28 z^8 a^{-6} -14 z^8 a^{-8} -7 z^7 a^{-3} -6 z^7 a^{-5} -6 z^7 a^{-7} -7 z^7 a^{-9} +z^6 a^{-2} +29 z^6 a^{-4} +59 z^6 a^{-6} +31 z^6 a^{-8} +2 z^5 a^{-1} +13 z^5 a^{-3} +28 z^5 a^{-5} +33 z^5 a^{-7} +16 z^5 a^{-9} -5 z^4 a^{-2} -27 z^4 a^{-4} -48 z^4 a^{-6} -27 z^4 a^{-8} +z^4-6 z^3 a^{-1} -10 z^3 a^{-3} -21 z^3 a^{-5} -32 z^3 a^{-7} -15 z^3 a^{-9} +4 z^2 a^{-2} +16 z^2 a^{-4} +19 z^2 a^{-6} +9 z^2 a^{-8} -2 z^2+z a^{-1} +3 z a^{-3} +5 z a^{-5} +8 z a^{-7} +5 z a^{-9} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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