K13a543
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Polynomial invariants
| Jones polynomial | Data:K13a543/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 8 t^3-33 t^2+68 t-85+68 t^{-1} -33 t^{-2} +8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a543/Conway Polynomial |
| Determinant | 303 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} +2 z^4 a^{-6} +13 z^4 a^{-8} +6 z^4 a^{-10} -6 z^4 a^{-12} +z^2 a^{-6} +14 z^2 a^{-8} +2 z^2 a^{-10} -13 z^2 a^{-12} +4 z^2 a^{-14} +5 a^{-8} - a^{-10} -7 a^{-12} +5 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +5 z^{11} a^{-11} +9 z^{11} a^{-13} +4 z^{11} a^{-15} +11 z^{10} a^{-10} +23 z^{10} a^{-12} +19 z^{10} a^{-14} +7 z^{10} a^{-16} +13 z^9 a^{-9} +20 z^9 a^{-11} +12 z^9 a^{-13} +12 z^9 a^{-15} +7 z^9 a^{-17} +10 z^8 a^{-8} -6 z^8 a^{-10} -48 z^8 a^{-12} -45 z^8 a^{-14} -9 z^8 a^{-16} +4 z^8 a^{-18} +4 z^7 a^{-7} -20 z^7 a^{-9} -68 z^7 a^{-11} -86 z^7 a^{-13} -63 z^7 a^{-15} -20 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -21 z^6 a^{-8} -18 z^6 a^{-10} +30 z^6 a^{-12} +23 z^6 a^{-14} -16 z^6 a^{-16} -13 z^6 a^{-18} -6 z^5 a^{-7} +6 z^5 a^{-9} +75 z^5 a^{-11} +131 z^5 a^{-13} +90 z^5 a^{-15} +19 z^5 a^{-17} -3 z^5 a^{-19} -2 z^4 a^{-6} +22 z^4 a^{-8} +19 z^4 a^{-10} -10 z^4 a^{-12} +13 z^4 a^{-14} +31 z^4 a^{-16} +13 z^4 a^{-18} +2 z^3 a^{-7} +4 z^3 a^{-9} -42 z^3 a^{-11} -91 z^3 a^{-13} -60 z^3 a^{-15} -11 z^3 a^{-17} +2 z^3 a^{-19} +z^2 a^{-6} -16 z^2 a^{-8} -8 z^2 a^{-10} +13 z^2 a^{-12} -5 z^2 a^{-14} -14 z^2 a^{-16} -5 z^2 a^{-18} -4 z a^{-9} +10 z a^{-11} +28 z a^{-13} +18 z a^{-15} +4 z a^{-17} +5 a^{-8} + a^{-10} -7 a^{-12} -5 a^{-14} - a^{-16} }[/math] |
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