K13n2904
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Polynomial invariants
| Jones polynomial | Data:K13n2904/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+16 t^2-39 t+51-39 t^{-1} +16 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2904/Conway Polynomial |
| Determinant | 165 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} +3 z^4 a^{-8} +z^2 a^{-2} +5 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2 a^{-10} +3 a^{-6} - a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +7 z^9 a^{-5} +12 z^9 a^{-7} +8 z^9 a^{-9} +3 z^9 a^{-11} +7 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8 a^{-8} -2 z^8 a^{-10} +z^8 a^{-12} +4 z^7 a^{-3} -10 z^7 a^{-5} -28 z^7 a^{-7} -17 z^7 a^{-9} -3 z^7 a^{-11} +z^6 a^{-2} -15 z^6 a^{-4} -21 z^6 a^{-6} -4 z^6 a^{-8} +5 z^6 a^{-10} +4 z^6 a^{-12} -9 z^5 a^{-3} +24 z^5 a^{-7} +17 z^5 a^{-9} +5 z^5 a^{-11} +3 z^5 a^{-13} -2 z^4 a^{-2} +9 z^4 a^{-4} +14 z^4 a^{-6} +6 z^4 a^{-8} -7 z^4 a^{-10} -10 z^4 a^{-12} +5 z^3 a^{-3} -12 z^3 a^{-7} -9 z^3 a^{-9} -8 z^3 a^{-11} -6 z^3 a^{-13} +z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} +4 z^2 a^{-12} +z a^{-5} +5 z a^{-7} +3 z a^{-9} +2 z a^{-11} +3 z a^{-13} -3 a^{-6} - a^{-8} + a^{-10} }[/math] |
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