K13n3551
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Polynomial invariants
| Jones polynomial | Data:K13n3551/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-7 t^3+10 t^2-13 t+15-13 t^{-1} +10 t^{-2} -7 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3551/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} +13 z^6 a^{-10} -2 z^6 a^{-12} +11 z^4 a^{-8} +28 z^4 a^{-10} -11 z^4 a^{-12} +6 z^2 a^{-8} +23 z^2 a^{-10} -18 z^2 a^{-12} +z^2 a^{-14} + a^{-8} +6 a^{-10} -8 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +5 z^{10} a^{-12} +2 z^{10} a^{-14} +2 z^9 a^{-9} +2 z^9 a^{-15} +z^8 a^{-8} -17 z^8 a^{-10} -24 z^8 a^{-12} -4 z^8 a^{-14} +2 z^8 a^{-16} -10 z^7 a^{-9} -16 z^7 a^{-11} -8 z^7 a^{-13} -z^7 a^{-15} +z^7 a^{-17} -6 z^6 a^{-8} +36 z^6 a^{-10} +48 z^6 a^{-12} +3 z^6 a^{-14} -3 z^6 a^{-16} +14 z^5 a^{-9} +35 z^5 a^{-11} +14 z^5 a^{-13} -7 z^5 a^{-15} +11 z^4 a^{-8} -40 z^4 a^{-10} -59 z^4 a^{-12} -7 z^4 a^{-14} +4 z^4 a^{-16} +3 z^4 a^{-18} -4 z^3 a^{-9} -31 z^3 a^{-11} -20 z^3 a^{-13} +9 z^3 a^{-15} +3 z^3 a^{-17} +z^3 a^{-19} -6 z^2 a^{-8} +25 z^2 a^{-10} +34 z^2 a^{-12} +5 z^2 a^{-14} -2 z^2 a^{-18} +10 z a^{-11} +9 z a^{-13} -z a^{-15} -z a^{-17} -z a^{-19} + a^{-8} -6 a^{-10} -8 a^{-12} -2 a^{-14} }[/math] |
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