K13n3880
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Polynomial invariants
| Jones polynomial | Data:K13n3880/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-15 t+15-15 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3880/Conway Polynomial |
| Determinant | 69 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +3 z^2 a^{-10} + a^{-4} + a^{-6} - a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +4 z^9 a^{-9} +2 z^9 a^{-11} +2 z^8 a^{-6} -z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-5} -4 z^7 a^{-7} -12 z^7 a^{-9} -7 z^7 a^{-11} -3 z^6 a^{-6} -2 z^6 a^{-8} +z^6 a^{-10} +z^5 a^{-5} +7 z^5 a^{-7} +19 z^5 a^{-9} +16 z^5 a^{-11} +3 z^5 a^{-13} +3 z^4 a^{-4} +3 z^4 a^{-6} +5 z^4 a^{-8} -5 z^4 a^{-12} -4 z^3 a^{-5} -5 z^3 a^{-7} -13 z^3 a^{-9} -21 z^3 a^{-11} -9 z^3 a^{-13} -6 z^2 a^{-4} +z^2 a^{-8} -2 z^2 a^{-10} +3 z^2 a^{-12} +z a^{-5} +4 z a^{-7} +4 z a^{-9} +7 z a^{-11} +6 z a^{-13} + a^{-4} - a^{-6} - a^{-8} - a^{-10} - a^{-12} }[/math] |
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