K13n1685
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Polynomial invariants
| Jones polynomial | Data:K13n1685/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-7 t^2+5-7 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1685/Conway Polynomial |
| Determinant | 27 |
| 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} -11 z^4 a^{-8} +7 z^4 a^{-10} +7 z^2 a^{-4} -2 z^2 a^{-6} -11 z^2 a^{-8} +11 z^2 a^{-10} -2 z^2 a^{-12} +3 a^{-4} -6 a^{-8} +6 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -2 z^9 a^{-7} -4 z^9 a^{-9} +z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-4} -8 z^8 a^{-6} -23 z^8 a^{-8} -15 z^8 a^{-10} +z^8 a^{-12} +2 z^8 a^{-14} -10 z^7 a^{-5} -8 z^7 a^{-7} -2 z^7 a^{-9} -10 z^7 a^{-11} -5 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-4} +3 z^6 a^{-6} +41 z^6 a^{-8} +34 z^6 a^{-10} -9 z^6 a^{-12} -11 z^6 a^{-14} +13 z^5 a^{-5} +13 z^5 a^{-7} +13 z^5 a^{-9} +22 z^5 a^{-11} +4 z^5 a^{-13} -5 z^5 a^{-15} +12 z^4 a^{-4} +8 z^4 a^{-6} -40 z^4 a^{-8} -39 z^4 a^{-10} +13 z^4 a^{-12} +16 z^4 a^{-14} -3 z^3 a^{-5} -3 z^3 a^{-7} -15 z^3 a^{-9} -22 z^3 a^{-11} -z^3 a^{-13} +6 z^3 a^{-15} -10 z^2 a^{-4} -4 z^2 a^{-6} +25 z^2 a^{-8} +22 z^2 a^{-10} -4 z^2 a^{-12} -7 z^2 a^{-14} -2 z a^{-5} +7 z a^{-9} +8 z a^{-11} +2 z a^{-13} -z a^{-15} +3 a^{-4} -6 a^{-8} -6 a^{-10} -2 a^{-12} }[/math] |
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