K13n3499
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Polynomial invariants
| Jones polynomial | Data:K13n3499/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-8 t^3+14 t^2-19 t+21-19 t^{-1} +14 t^{-2} -8 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3499/Conway Polynomial |
| Determinant | 109 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +12 z^6 a^{-10} -2 z^6 a^{-12} +12 z^4 a^{-8} +23 z^4 a^{-10} -9 z^4 a^{-12} +9 z^2 a^{-8} +15 z^2 a^{-10} -11 z^2 a^{-12} +2 a^{-8} +2 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^9 a^{-9} +3 z^9 a^{-11} +5 z^9 a^{-13} +4 z^9 a^{-15} +z^8 a^{-8} -14 z^8 a^{-10} -21 z^8 a^{-12} -2 z^8 a^{-14} +4 z^8 a^{-16} -9 z^7 a^{-9} -26 z^7 a^{-11} -22 z^7 a^{-13} -2 z^7 a^{-15} +3 z^7 a^{-17} -6 z^6 a^{-8} +23 z^6 a^{-10} +25 z^6 a^{-12} -6 z^6 a^{-14} -z^6 a^{-16} +z^6 a^{-18} +11 z^5 a^{-9} +40 z^5 a^{-11} +21 z^5 a^{-13} -8 z^5 a^{-15} +12 z^4 a^{-8} -21 z^4 a^{-10} -24 z^4 a^{-12} -5 z^4 a^{-16} +4 z^4 a^{-18} -2 z^3 a^{-9} -21 z^3 a^{-11} -12 z^3 a^{-13} +5 z^3 a^{-15} +z^3 a^{-17} +3 z^3 a^{-19} -9 z^2 a^{-8} +13 z^2 a^{-10} +16 z^2 a^{-12} +4 z^2 a^{-16} -2 z^2 a^{-18} -z a^{-9} +4 z a^{-11} +2 z a^{-13} -z a^{-15} -2 z a^{-19} +2 a^{-8} -2 a^{-10} -3 a^{-12} }[/math] |
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