K13a4551
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Polynomial invariants
| Jones polynomial | Data:K13a4551/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 8 t^3-22 t^2+31 t-33+31 t^{-1} -22 t^{-2} +8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4551/Conway Polynomial |
| Determinant | 155 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^6 a^{-10} +z^6 a^{-12} +3 z^4 a^{-6} +11 z^4 a^{-8} +11 z^4 a^{-10} +2 z^4 a^{-12} -z^4 a^{-14} +z^2 a^{-6} +9 z^2 a^{-8} +10 z^2 a^{-10} -2 z^2 a^{-12} -3 z^2 a^{-14} + a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +3 z^{11} a^{-11} +5 z^{11} a^{-13} +2 z^{11} a^{-15} +6 z^{10} a^{-10} +3 z^{10} a^{-12} -z^{10} a^{-14} +2 z^{10} a^{-16} +7 z^9 a^{-9} -4 z^9 a^{-11} -20 z^9 a^{-13} -7 z^9 a^{-15} +2 z^9 a^{-17} +6 z^8 a^{-8} -20 z^8 a^{-10} -20 z^8 a^{-12} -4 z^8 a^{-16} +2 z^8 a^{-18} +3 z^7 a^{-7} -23 z^7 a^{-9} -10 z^7 a^{-11} +41 z^7 a^{-13} +20 z^7 a^{-15} -4 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -20 z^6 a^{-8} +27 z^6 a^{-10} +44 z^6 a^{-12} +7 z^6 a^{-14} +3 z^6 a^{-16} -8 z^6 a^{-18} -8 z^5 a^{-7} +24 z^5 a^{-9} +31 z^5 a^{-11} -35 z^5 a^{-13} -33 z^5 a^{-15} -4 z^5 a^{-17} -5 z^5 a^{-19} -3 z^4 a^{-6} +20 z^4 a^{-8} -18 z^4 a^{-10} -35 z^4 a^{-12} -11 z^4 a^{-14} -8 z^4 a^{-16} +9 z^4 a^{-18} +2 z^3 a^{-7} -8 z^3 a^{-9} -16 z^3 a^{-11} +11 z^3 a^{-13} +18 z^3 a^{-15} +9 z^3 a^{-17} +8 z^3 a^{-19} +z^2 a^{-6} -10 z^2 a^{-8} +13 z^2 a^{-10} +14 z^2 a^{-12} -2 z^2 a^{-14} +6 z^2 a^{-16} -2 z^2 a^{-18} +3 z a^{-11} -3 z a^{-13} -4 z a^{-15} -2 z a^{-17} -4 z a^{-19} + a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
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