K13n3848
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Polynomial invariants
| Jones polynomial | Data:K13n3848/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+12 t-15+12 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3848/Conway Polynomial |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} -7 z^4 a^{-2} +4 z^4 a^{-4} -2 z^4 a^{-6} +z^4-12 z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} +4 z^2-6 a^{-2} +4 a^{-4} -2 a^{-6} + a^{-8} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-1} +z^9 a^{-5} +2 z^9 a^{-7} +z^8 a^{-2} +2 z^8 a^{-4} +6 z^8 a^{-6} +4 z^8 a^{-8} +z^8-7 z^7 a^{-1} -z^7 a^{-3} +z^7 a^{-5} -2 z^7 a^{-7} +3 z^7 a^{-9} -12 z^6 a^{-2} -10 z^6 a^{-4} -18 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -7 z^6+12 z^5 a^{-1} -9 z^5 a^{-5} -6 z^5 a^{-7} -9 z^5 a^{-9} +32 z^4 a^{-2} +22 z^4 a^{-4} +17 z^4 a^{-6} +9 z^4 a^{-8} -3 z^4 a^{-10} +15 z^4-4 z^3 a^{-1} +12 z^3 a^{-3} +13 z^3 a^{-5} +3 z^3 a^{-7} +6 z^3 a^{-9} -25 z^2 a^{-2} -14 z^2 a^{-4} -9 z^2 a^{-6} -5 z^2 a^{-8} +2 z^2 a^{-10} -13 z^2-2 z a^{-1} -7 z a^{-3} -5 z a^{-5} -z a^{-7} -z a^{-9} +6 a^{-2} +4 a^{-4} +2 a^{-6} + a^{-8} +4 }[/math] |
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