K13n3204
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Polynomial invariants
| Jones polynomial | Data:K13n3204/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-25 t+29-25 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3204/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -7 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} +3 z^2 a^{-2} -6 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^{10} a^{-8} -2 z^9 a^{-5} +5 z^9 a^{-7} +7 z^9 a^{-9} -3 z^8 a^{-4} -16 z^8 a^{-6} -5 z^8 a^{-8} +8 z^8 a^{-10} +3 z^7 a^{-3} +6 z^7 a^{-5} -16 z^7 a^{-7} -12 z^7 a^{-9} +7 z^7 a^{-11} +z^6 a^{-2} +11 z^6 a^{-4} +31 z^6 a^{-6} +5 z^6 a^{-8} -12 z^6 a^{-10} +4 z^6 a^{-12} -8 z^5 a^{-3} -7 z^5 a^{-5} +22 z^5 a^{-7} +9 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -22 z^4 a^{-4} -31 z^4 a^{-6} -4 z^4 a^{-8} +3 z^4 a^{-10} -6 z^4 a^{-12} +4 z^3 a^{-3} -2 z^3 a^{-5} -11 z^3 a^{-7} -z^3 a^{-9} +3 z^3 a^{-11} -z^3 a^{-13} +5 z^2 a^{-2} +12 z^2 a^{-4} +10 z^2 a^{-6} +4 z^2 a^{-8} +2 z^2 a^{-10} +z^2 a^{-12} +z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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