K13n3355
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Polynomial invariants
| Jones polynomial | Data:K13n3355/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-3 t^2+4 t-5+4 t^{-1} -3 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3355/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +5 z^4 a^{-4} -11 z^4 a^{-6} +z^4 a^{-10} +8 z^2 a^{-4} -8 z^2 a^{-6} +3 z^2 a^{-10} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +4 z^9 a^{-7} +2 z^9 a^{-9} +z^8 a^{-4} -z^8 a^{-6} -2 z^8 a^{-8} -10 z^7 a^{-5} -19 z^7 a^{-7} -10 z^7 a^{-9} -z^7 a^{-11} -6 z^6 a^{-4} -15 z^6 a^{-6} -9 z^6 a^{-8} +z^6 a^{-10} +z^6 a^{-12} +13 z^5 a^{-5} +19 z^5 a^{-7} +9 z^5 a^{-9} +4 z^5 a^{-11} +z^5 a^{-13} +13 z^4 a^{-4} +31 z^4 a^{-6} +14 z^4 a^{-8} -10 z^4 a^{-10} -6 z^4 a^{-12} -2 z^3 a^{-5} +3 z^3 a^{-7} +2 z^3 a^{-9} -7 z^3 a^{-11} -4 z^3 a^{-13} -12 z^2 a^{-4} -18 z^2 a^{-6} -z^2 a^{-8} +11 z^2 a^{-10} +6 z^2 a^{-12} -3 z a^{-5} -6 z a^{-7} -4 z a^{-9} +z a^{-11} +2 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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