K13n1448
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Polynomial invariants
| Jones polynomial | Data:K13n1448/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-12 t^2+11 t-9+11 t^{-1} -12 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1448/Conway Polynomial |
| Determinant | 75 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -7 z^4 a^{-6} -7 z^4 a^{-8} +5 z^4 a^{-10} +7 z^2 a^{-4} -4 z^2 a^{-6} -5 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} - a^{-6} -3 a^{-8} +3 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^{-9} +3 z^9 a^{-11} +z^8 a^{-4} -7 z^8 a^{-6} -22 z^8 a^{-8} -13 z^8 a^{-10} +z^8 a^{-12} -10 z^7 a^{-5} -15 z^7 a^{-7} -17 z^7 a^{-9} -12 z^7 a^{-11} -6 z^6 a^{-4} +30 z^6 a^{-8} +25 z^6 a^{-10} +z^6 a^{-12} +14 z^5 a^{-5} +24 z^5 a^{-7} +29 z^5 a^{-9} +24 z^5 a^{-11} +5 z^5 a^{-13} +12 z^4 a^{-4} +13 z^4 a^{-6} -23 z^4 a^{-8} -29 z^4 a^{-10} -2 z^4 a^{-12} +3 z^4 a^{-14} -5 z^3 a^{-5} -12 z^3 a^{-7} -24 z^3 a^{-9} -24 z^3 a^{-11} -6 z^3 a^{-13} +z^3 a^{-15} -10 z^2 a^{-4} -8 z^2 a^{-6} +13 z^2 a^{-8} +14 z^2 a^{-10} +z^2 a^{-12} -2 z^2 a^{-14} -z a^{-5} +3 z a^{-7} +9 z a^{-9} +8 z a^{-11} +3 z a^{-13} +3 a^{-4} + a^{-6} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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