K13n2019
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Polynomial invariants
| Jones polynomial | Data:K13n2019/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-2 t^3-4 t^2+12 t-15+12 t^{-1} -4 t^{-2} -2 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2019/Conway Polynomial |
| Determinant | 39 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +8 z^6 a^{-10} -z^6 a^{-12} +14 z^4 a^{-8} +19 z^4 a^{-10} -9 z^4 a^{-12} +9 z^2 a^{-8} +17 z^2 a^{-10} -18 z^2 a^{-12} +2 z^2 a^{-14} +2 a^{-8} +5 a^{-10} -9 a^{-12} +3 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +z^9 a^{-11} +z^9 a^{-13} +z^9 a^{-15} +z^8 a^{-8} -9 z^8 a^{-10} -10 z^8 a^{-12} +3 z^8 a^{-14} +3 z^8 a^{-16} -7 z^7 a^{-9} -11 z^7 a^{-11} -5 z^7 a^{-13} +2 z^7 a^{-15} +3 z^7 a^{-17} -7 z^6 a^{-8} +25 z^6 a^{-10} +36 z^6 a^{-12} -5 z^6 a^{-14} -8 z^6 a^{-16} +z^6 a^{-18} +12 z^5 a^{-9} +34 z^5 a^{-11} +19 z^5 a^{-13} -13 z^5 a^{-15} -10 z^5 a^{-17} +14 z^4 a^{-8} -28 z^4 a^{-10} -50 z^4 a^{-12} -3 z^4 a^{-14} +2 z^4 a^{-16} -3 z^4 a^{-18} -3 z^3 a^{-9} -33 z^3 a^{-11} -28 z^3 a^{-13} +10 z^3 a^{-15} +8 z^3 a^{-17} -9 z^2 a^{-8} +17 z^2 a^{-10} +32 z^2 a^{-12} +6 z^2 a^{-14} +2 z^2 a^{-16} +2 z^2 a^{-18} -z a^{-9} +11 z a^{-11} +13 z a^{-13} -z a^{-15} -2 z a^{-17} +2 a^{-8} -5 a^{-10} -9 a^{-12} -3 a^{-14} }[/math] |
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