K13n5102
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Polynomial invariants
| Jones polynomial | Data:K13n5102/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-8 t^3+15 t^2-21 t+23-21 t^{-1} +15 t^{-2} -8 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n5102/Conway Polynomial |
| Determinant | 117 |
| 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} +24 z^4 a^{-10} -9 z^4 a^{-12} +8 z^2 a^{-8} +19 z^2 a^{-10} -12 z^2 a^{-12} +6 a^{-10} -5 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} +6 z^9 a^{-13} +5 z^9 a^{-15} +z^8 a^{-8} -14 z^8 a^{-10} -18 z^8 a^{-12} +2 z^8 a^{-14} +5 z^8 a^{-16} -9 z^7 a^{-9} -22 z^7 a^{-11} -21 z^7 a^{-13} -5 z^7 a^{-15} +3 z^7 a^{-17} -6 z^6 a^{-8} +26 z^6 a^{-10} +17 z^6 a^{-12} -20 z^6 a^{-14} -4 z^6 a^{-16} +z^6 a^{-18} +12 z^5 a^{-9} +27 z^5 a^{-11} +11 z^5 a^{-13} -2 z^5 a^{-15} +2 z^5 a^{-17} +12 z^4 a^{-8} -31 z^4 a^{-10} -21 z^4 a^{-12} +18 z^4 a^{-14} +4 z^4 a^{-18} -4 z^3 a^{-9} -10 z^3 a^{-11} -2 z^3 a^{-13} -2 z^3 a^{-15} -3 z^3 a^{-17} +3 z^3 a^{-19} -8 z^2 a^{-8} +24 z^2 a^{-10} +20 z^2 a^{-12} -10 z^2 a^{-14} +z^2 a^{-16} -z^2 a^{-18} +4 z a^{-11} +z a^{-15} +3 z a^{-17} -2 z a^{-19} -6 a^{-10} -5 a^{-12} }[/math] |
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