K13n2133
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Polynomial invariants
| Jones polynomial | Data:K13n2133/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-12 t^3+19 t^2-20 t+19-20 t^{-1} +19 t^{-2} -12 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2133/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} +5 z^6 a^{-2} -18 z^6 a^{-4} +6 z^6 a^{-6} +8 z^4 a^{-2} -22 z^4 a^{-4} +12 z^4 a^{-6} -z^4 a^{-8} +6 z^2 a^{-2} -12 z^2 a^{-4} +11 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +14 z^{10} a^{-4} +8 z^{10} a^{-6} +4 z^9 a^{-1} -z^9 a^{-3} +3 z^9 a^{-5} +8 z^9 a^{-7} -24 z^8 a^{-2} -56 z^8 a^{-4} -27 z^8 a^{-6} +4 z^8 a^{-8} +z^8-17 z^7 a^{-1} -34 z^7 a^{-3} -45 z^7 a^{-5} -27 z^7 a^{-7} +z^7 a^{-9} +26 z^6 a^{-2} +67 z^6 a^{-4} +29 z^6 a^{-6} -8 z^6 a^{-8} -4 z^6+22 z^5 a^{-1} +56 z^5 a^{-3} +66 z^5 a^{-5} +34 z^5 a^{-7} +2 z^5 a^{-9} -9 z^4 a^{-2} -38 z^4 a^{-4} -21 z^4 a^{-6} +6 z^4 a^{-8} +3 z^4 a^{-10} +5 z^4-10 z^3 a^{-1} -30 z^3 a^{-3} -38 z^3 a^{-5} -21 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} +4 z^2 a^{-2} +14 z^2 a^{-4} +13 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2+2 z a^{-1} +6 z a^{-3} +7 z a^{-5} +6 z a^{-7} +2 z a^{-9} -z a^{-11} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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