K13a4841
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Polynomial invariants
| Jones polynomial | Data:K13a4841/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 7 t^3-21 t^2+36 t-43+36 t^{-1} -21 t^{-2} +7 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4841/Conway Polynomial |
| Determinant | 171 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +3 z^6 a^{-10} +z^6 a^{-12} +4 z^4 a^{-6} +6 z^4 a^{-8} +11 z^4 a^{-10} +z^4 a^{-12} -z^4 a^{-14} +4 z^2 a^{-6} +4 z^2 a^{-8} +13 z^2 a^{-10} -4 z^2 a^{-12} -2 z^2 a^{-14} +6 a^{-10} -5 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +3 z^{11} a^{-11} +6 z^{11} a^{-13} +3 z^{11} a^{-15} +5 z^{10} a^{-10} +5 z^{10} a^{-12} +5 z^{10} a^{-14} +5 z^{10} a^{-16} +4 z^9 a^{-9} -6 z^9 a^{-11} -18 z^9 a^{-13} -3 z^9 a^{-15} +5 z^9 a^{-17} +3 z^8 a^{-8} -21 z^8 a^{-10} -29 z^8 a^{-12} -24 z^8 a^{-14} -16 z^8 a^{-16} +3 z^8 a^{-18} +2 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} +20 z^7 a^{-13} -15 z^7 a^{-15} -19 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -8 z^6 a^{-8} +50 z^6 a^{-10} +64 z^6 a^{-12} +34 z^6 a^{-14} +18 z^6 a^{-16} -11 z^6 a^{-18} -6 z^5 a^{-7} +18 z^5 a^{-9} +17 z^5 a^{-11} -3 z^5 a^{-13} +34 z^5 a^{-15} +26 z^5 a^{-17} -4 z^5 a^{-19} -4 z^4 a^{-6} +7 z^4 a^{-8} -59 z^4 a^{-10} -65 z^4 a^{-12} -19 z^4 a^{-14} -14 z^4 a^{-16} +10 z^4 a^{-18} +4 z^3 a^{-7} -14 z^3 a^{-9} -14 z^3 a^{-11} -30 z^3 a^{-15} -22 z^3 a^{-17} +4 z^3 a^{-19} +4 z^2 a^{-6} -4 z^2 a^{-8} +31 z^2 a^{-10} +39 z^2 a^{-12} +3 z^2 a^{-14} +2 z^2 a^{-16} -z^2 a^{-18} +3 z a^{-11} -z a^{-13} +4 z a^{-15} +8 z a^{-17} -6 a^{-10} -5 a^{-12} }[/math] |
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