K13n2657
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Polynomial invariants
| Jones polynomial | Data:K13n2657/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-6 t^3+10 t^2-13 t+15-13 t^{-1} +10 t^{-2} -6 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2657/Conway Polynomial |
| Determinant | 81 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -9 z^8 a^{-4} +z^8 a^{-6} +7 z^6 a^{-2} -32 z^6 a^{-4} +8 z^6 a^{-6} +18 z^4 a^{-2} -56 z^4 a^{-4} +23 z^4 a^{-6} -z^4 a^{-8} +20 z^2 a^{-2} -47 z^2 a^{-4} +26 z^2 a^{-6} -3 z^2 a^{-8} +8 a^{-2} -14 a^{-4} +8 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10} a^{-6} +2 z^9 a^{-1} +4 z^9 a^{-5} +6 z^9 a^{-7} -8 z^8 a^{-2} -30 z^8 a^{-4} -18 z^8 a^{-6} +3 z^8 a^{-8} +z^8-10 z^7 a^{-1} -13 z^7 a^{-3} -36 z^7 a^{-5} -33 z^7 a^{-7} +10 z^6 a^{-2} +62 z^6 a^{-4} +34 z^6 a^{-6} -12 z^6 a^{-8} -6 z^6+15 z^5 a^{-1} +21 z^5 a^{-3} +77 z^5 a^{-5} +74 z^5 a^{-7} +3 z^5 a^{-9} -14 z^4 a^{-2} -84 z^4 a^{-4} -38 z^4 a^{-6} +20 z^4 a^{-8} +12 z^4-7 z^3 a^{-1} -17 z^3 a^{-3} -76 z^3 a^{-5} -69 z^3 a^{-7} -3 z^3 a^{-9} +20 z^2 a^{-2} +60 z^2 a^{-4} +23 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} -8 z^2+z a^{-1} +10 z a^{-3} +24 z a^{-5} +18 z a^{-7} +3 z a^{-9} -8 a^{-2} -14 a^{-4} -8 a^{-6} - a^{-8} }[/math] |
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