K13n3484
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Polynomial invariants
| Jones polynomial | Data:K13n3484/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+6 t^3-11 t+17-11 t^{-1} +6 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3484/Conway Polynomial |
| Determinant | 17 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +22 z^6 a^{-6} -7 z^6 a^{-8} -9 z^4 a^{-4} +27 z^4 a^{-6} -13 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-4} +13 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} -12 z^9 a^{-5} -12 z^9 a^{-7} +z^9 a^{-9} -21 z^8 a^{-4} -45 z^8 a^{-6} -22 z^8 a^{-8} +2 z^8 a^{-10} -6 z^7 a^{-3} +14 z^7 a^{-5} +12 z^7 a^{-7} -4 z^7 a^{-9} +4 z^7 a^{-11} +45 z^6 a^{-4} +100 z^6 a^{-6} +48 z^6 a^{-8} -4 z^6 a^{-10} +3 z^6 a^{-12} +10 z^5 a^{-3} +10 z^5 a^{-5} +15 z^5 a^{-7} +3 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -36 z^4 a^{-4} -79 z^4 a^{-6} -38 z^4 a^{-8} -2 z^4 a^{-10} -7 z^4 a^{-12} -6 z^3 a^{-3} -15 z^3 a^{-5} -15 z^3 a^{-7} +2 z^3 a^{-9} +6 z^3 a^{-11} -2 z^3 a^{-13} +7 z^2 a^{-4} +20 z^2 a^{-6} +13 z^2 a^{-8} +2 z^2 a^{-10} +2 z^2 a^{-12} +z a^{-3} +z a^{-5} +z a^{-7} -z a^{-9} -2 z a^{-11} +2 a^{-4} - a^{-8} }[/math] |
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