K13n281
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Polynomial invariants
| Jones polynomial | Data:K13n281/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+20 t-29+20 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n281/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -z^4 a^{-4} -2 z^4+2 a^2 z^2-z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+2 a^2+ a^{-2} + a^{-4} + a^{-6} - a^{-8} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-3 z^9 a^{-1} -2 z^9 a^{-3} +2 z^9 a^{-5} -19 z^8 a^{-2} -7 z^8 a^{-4} +2 z^8 a^{-6} -10 z^8-a z^7+5 z^7 a^{-1} -4 z^7 a^{-5} +2 z^7 a^{-7} +3 a^2 z^6+38 z^6 a^{-2} +13 z^6 a^{-4} -2 z^6 a^{-6} +2 z^6 a^{-8} +24 z^6-8 a z^5-11 z^5 a^{-1} +5 z^5 a^{-3} +5 z^5 a^{-5} -2 z^5 a^{-7} +z^5 a^{-9} -12 a^2 z^4-36 z^4 a^{-2} -7 z^4 a^{-4} -z^4 a^{-6} -5 z^4 a^{-8} -37 z^4+11 a z^3+12 z^3 a^{-1} -z^3 a^{-5} -3 z^3 a^{-7} -3 z^3 a^{-9} +11 a^2 z^2+14 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} +3 z^2 a^{-8} +23 z^2-4 a z-6 z a^{-1} -2 z a^{-3} +2 z a^{-7} +2 z a^{-9} -2 a^2- a^{-2} + a^{-4} - a^{-6} - a^{-8} -3 }[/math] |
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