K13n3822
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Polynomial invariants
| Jones polynomial | Data:K13n3822/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+25 t-29+25 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3822/Conway Polynomial |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +2 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -6 z^2 a^{-4} +3 z^2 a^{-6} +z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -2 z^9 a^{-3} +5 z^9 a^{-5} +7 z^9 a^{-7} -4 z^8 a^{-2} -16 z^8 a^{-4} -5 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} +4 z^7 a^{-3} -16 z^7 a^{-5} -15 z^7 a^{-7} +4 z^7 a^{-9} +13 z^6 a^{-2} +31 z^6 a^{-4} +z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} +2 z^5 a^{-1} +5 z^5 a^{-3} +20 z^5 a^{-5} +8 z^5 a^{-7} -9 z^5 a^{-9} -8 z^4 a^{-2} -25 z^4 a^{-4} -6 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4 a^{-10} +2 z^4-3 z^3 a^{-1} -4 z^3 a^{-3} -11 z^3 a^{-5} -6 z^3 a^{-7} +4 z^3 a^{-9} -z^2 a^{-2} +10 z^2 a^{-4} +5 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} -4 z^2+2 z a^{-5} +2 z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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