K13n3566
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Polynomial invariants
| Jones polynomial | Data:K13n3566/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-9 t^3+17 t^2-24 t+27-24 t^{-1} +17 t^{-2} -9 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3566/Conway Polynomial |
| Determinant | 133 |
| 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} -8 z^4 a^{-12} +12 z^2 a^{-8} +7 z^2 a^{-10} -8 z^2 a^{-12} +4 a^{-8} -2 a^{-10} - a^{-12} }[/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} +11 z^9 a^{-13} +7 z^9 a^{-15} +z^8 a^{-8} -11 z^8 a^{-10} -16 z^8 a^{-12} +3 z^8 a^{-14} +7 z^8 a^{-16} -8 z^7 a^{-9} -34 z^7 a^{-11} -38 z^7 a^{-13} -8 z^7 a^{-15} +4 z^7 a^{-17} -6 z^6 a^{-8} +11 z^6 a^{-10} -3 z^6 a^{-12} -29 z^6 a^{-14} -8 z^6 a^{-16} +z^6 a^{-18} +8 z^5 a^{-9} +41 z^5 a^{-11} +26 z^5 a^{-13} -6 z^5 a^{-15} +z^5 a^{-17} +13 z^4 a^{-8} -2 z^4 a^{-10} +11 z^4 a^{-12} +23 z^4 a^{-14} +3 z^4 a^{-16} +6 z^4 a^{-18} +2 z^3 a^{-9} -11 z^3 a^{-11} -3 z^3 a^{-13} +6 z^3 a^{-15} -z^3 a^{-17} +3 z^3 a^{-19} -12 z^2 a^{-8} -2 z^2 a^{-10} +2 z^2 a^{-12} -6 z^2 a^{-14} -z^2 a^{-16} -3 z^2 a^{-18} -4 z a^{-9} -2 z a^{-11} -z a^{-13} -2 z a^{-15} -z a^{-19} +4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
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