K13n270
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Polynomial invariants
| Jones polynomial | Data:K13n270/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-9 t^2+6 t-3+6 t^{-1} -9 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n270/Conway Polynomial |
| Determinant | 51 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -6 z^4 a^{-6} -12 z^4 a^{-8} +6 z^4 a^{-10} +7 z^2 a^{-4} -z^2 a^{-6} -13 z^2 a^{-8} +9 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} + a^{-6} -7 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} -z^9 a^{-7} +3 z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -27 z^8 a^{-8} -17 z^8 a^{-10} +z^8 a^{-12} -10 z^7 a^{-5} -13 z^7 a^{-7} -22 z^7 a^{-9} -19 z^7 a^{-11} -6 z^6 a^{-4} +4 z^6 a^{-6} +47 z^6 a^{-8} +31 z^6 a^{-10} -6 z^6 a^{-12} +13 z^5 a^{-5} +24 z^5 a^{-7} +51 z^5 a^{-9} +40 z^5 a^{-11} +12 z^4 a^{-4} +5 z^4 a^{-6} -44 z^4 a^{-8} -27 z^4 a^{-10} +10 z^4 a^{-12} -3 z^3 a^{-5} -15 z^3 a^{-7} -47 z^3 a^{-9} -36 z^3 a^{-11} -z^3 a^{-13} -10 z^2 a^{-4} -z^2 a^{-6} +26 z^2 a^{-8} +13 z^2 a^{-10} -4 z^2 a^{-12} -2 z a^{-5} +5 z a^{-7} +17 z a^{-9} +12 z a^{-11} +2 z a^{-13} +3 a^{-4} - a^{-6} -7 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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