K13n1980
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Polynomial invariants
| Jones polynomial | Data:K13n1980/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-30 t+39-30 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1980/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +2 z^4 a^{-10} +5 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -3 a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +2 z^9 a^{-7} +3 z^9 a^{-9} +7 z^9 a^{-11} +6 z^9 a^{-13} +2 z^8 a^{-6} +z^8 a^{-8} -13 z^8 a^{-10} -8 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} +3 z^7 a^{-7} -2 z^7 a^{-9} -26 z^7 a^{-11} -21 z^7 a^{-13} +z^7 a^{-15} -z^6 a^{-6} -3 z^6 a^{-8} +10 z^6 a^{-10} -2 z^6 a^{-12} -14 z^6 a^{-14} +z^5 a^{-5} -9 z^5 a^{-7} -14 z^5 a^{-9} +19 z^5 a^{-11} +20 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} +6 z^4 a^{-6} +4 z^4 a^{-8} -8 z^4 a^{-10} +3 z^4 a^{-12} +12 z^4 a^{-14} +12 z^3 a^{-7} +19 z^3 a^{-9} -5 z^3 a^{-13} +2 z^3 a^{-15} -6 z^2 a^{-4} -8 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-12} -z^2 a^{-14} -2 z a^{-5} -4 z a^{-7} -6 z a^{-9} -4 z a^{-11} +3 a^{-4} +3 a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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