K13n3409
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Polynomial invariants
| Jones polynomial | Data:K13n3409/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-9 t^3+16 t^2-21 t+23-21 t^{-1} +16 t^{-2} -9 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3409/Conway Polynomial |
| Determinant | 121 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +11 z^6 a^{-10} -2 z^6 a^{-12} +13 z^4 a^{-8} +18 z^4 a^{-10} -9 z^4 a^{-12} +12 z^2 a^{-8} +8 z^2 a^{-10} -11 z^2 a^{-12} +z^2 a^{-14} +4 a^{-8} - a^{-10} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +7 z^{10} a^{-12} +4 z^{10} a^{-14} +2 z^9 a^{-9} +6 z^9 a^{-11} +10 z^9 a^{-13} +6 z^9 a^{-15} +z^8 a^{-8} -11 z^8 a^{-10} -18 z^8 a^{-12} -2 z^8 a^{-14} +4 z^8 a^{-16} -8 z^7 a^{-9} -35 z^7 a^{-11} -40 z^7 a^{-13} -12 z^7 a^{-15} +z^7 a^{-17} -6 z^6 a^{-8} +11 z^6 a^{-10} +3 z^6 a^{-12} -18 z^6 a^{-14} -4 z^6 a^{-16} +8 z^5 a^{-9} +44 z^5 a^{-11} +38 z^5 a^{-13} +7 z^5 a^{-15} +5 z^5 a^{-17} +13 z^4 a^{-8} -3 z^4 a^{-10} +2 z^4 a^{-12} +17 z^4 a^{-14} +3 z^4 a^{-16} +4 z^4 a^{-18} +2 z^3 a^{-9} -17 z^3 a^{-11} -18 z^3 a^{-13} -3 z^3 a^{-15} -3 z^3 a^{-17} +z^3 a^{-19} -12 z^2 a^{-8} +8 z^2 a^{-12} -4 z^2 a^{-14} -z^2 a^{-16} -z^2 a^{-18} -4 z a^{-9} +z a^{-11} +5 z a^{-13} +z a^{-15} +z a^{-17} +4 a^{-8} + a^{-10} -3 a^{-12} - a^{-14} }[/math] |
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