K13n3528
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Polynomial invariants
| Jones polynomial | Data:K13n3528/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-8 t^3+12 t^2-12 t+11-12 t^{-1} +12 t^{-2} -8 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3528/Conway Polynomial |
| Determinant | 81 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +12 z^6 a^{-10} -2 z^6 a^{-12} +12 z^4 a^{-8} +22 z^4 a^{-10} -10 z^4 a^{-12} +10 z^2 a^{-8} +13 z^2 a^{-10} -12 z^2 a^{-12} +z^2 a^{-14} +3 a^{-8} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^9 a^{-9} +3 z^9 a^{-11} +4 z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -14 z^8 a^{-10} -25 z^8 a^{-12} -9 z^8 a^{-14} +z^8 a^{-16} -9 z^7 a^{-9} -31 z^7 a^{-11} -32 z^7 a^{-13} -10 z^7 a^{-15} -6 z^6 a^{-8} +20 z^6 a^{-10} +29 z^6 a^{-12} +4 z^6 a^{-14} +z^6 a^{-16} +10 z^5 a^{-9} +51 z^5 a^{-11} +50 z^5 a^{-13} +13 z^5 a^{-15} +4 z^5 a^{-17} +12 z^4 a^{-8} -15 z^4 a^{-10} -18 z^4 a^{-12} +2 z^4 a^{-14} -5 z^4 a^{-16} +2 z^4 a^{-18} -z^3 a^{-9} -28 z^3 a^{-11} -30 z^3 a^{-13} -9 z^3 a^{-15} -5 z^3 a^{-17} +z^3 a^{-19} -10 z^2 a^{-8} +7 z^2 a^{-10} +11 z^2 a^{-12} +5 z^2 a^{-16} -z^2 a^{-18} -2 z a^{-9} +3 z a^{-11} +4 z a^{-13} +2 z a^{-15} +2 z a^{-17} -z a^{-19} +3 a^{-8} -2 a^{-12} }[/math] |
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