K13n1093
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Polynomial invariants
| Jones polynomial | Data:K13n1093/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-8 t+13-8 t^{-1} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1093/Conway Polynomial |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +5 z^4 a^{-4} -10 z^4 a^{-6} +z^4 a^{-8} +2 z^4 a^{-10} +7 z^2 a^{-4} -6 z^2 a^{-6} -z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} - a^{-6} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-6} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +3 z^{10} a^{-12} +2 z^9 a^{-5} +3 z^9 a^{-7} -4 z^9 a^{-9} -z^9 a^{-11} +4 z^9 a^{-13} +z^8 a^{-4} -3 z^8 a^{-6} -14 z^8 a^{-8} -26 z^8 a^{-10} -13 z^8 a^{-12} +3 z^8 a^{-14} -11 z^7 a^{-5} -20 z^7 a^{-7} -9 z^7 a^{-9} -19 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-4} -8 z^6 a^{-6} +22 z^6 a^{-8} +47 z^6 a^{-10} +10 z^6 a^{-12} -13 z^6 a^{-14} +16 z^5 a^{-5} +31 z^5 a^{-7} +35 z^5 a^{-9} +44 z^5 a^{-11} +20 z^5 a^{-13} -4 z^5 a^{-15} +12 z^4 a^{-4} +21 z^4 a^{-6} -13 z^4 a^{-8} -34 z^4 a^{-10} +z^4 a^{-12} +13 z^4 a^{-14} -6 z^3 a^{-5} -16 z^3 a^{-7} -33 z^3 a^{-9} -37 z^3 a^{-11} -11 z^3 a^{-13} +3 z^3 a^{-15} -10 z^2 a^{-4} -11 z^2 a^{-6} +8 z^2 a^{-8} +11 z^2 a^{-10} -2 z^2 a^{-12} -4 z^2 a^{-14} -z a^{-5} +4 z a^{-7} +12 z a^{-9} +11 z a^{-11} +4 z a^{-13} +3 a^{-4} + a^{-6} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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