K13n3711
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Polynomial invariants
| Jones polynomial | Data:K13n3711/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 8 t^3-26 t^2+43 t-49+43 t^{-1} -26 t^{-2} +8 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3711/Conway Polynomial |
| Determinant | 203 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} +2 z^4 a^{-6} +14 z^4 a^{-8} +9 z^4 a^{-10} -3 z^4 a^{-12} +13 z^2 a^{-8} +6 z^2 a^{-10} -8 z^2 a^{-12} +3 a^{-8} + a^{-10} -4 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-11} +3 z^{11} a^{-13} +10 z^{10} a^{-10} +16 z^{10} a^{-12} +6 z^{10} a^{-14} +13 z^9 a^{-9} +14 z^9 a^{-11} +5 z^9 a^{-13} +4 z^9 a^{-15} +10 z^8 a^{-8} -19 z^8 a^{-10} -42 z^8 a^{-12} -12 z^8 a^{-14} +z^8 a^{-16} +4 z^7 a^{-7} -33 z^7 a^{-9} -55 z^7 a^{-11} -20 z^7 a^{-13} -2 z^7 a^{-15} +z^6 a^{-6} -26 z^6 a^{-8} +11 z^6 a^{-10} +56 z^6 a^{-12} +24 z^6 a^{-14} +6 z^6 a^{-16} -7 z^5 a^{-7} +28 z^5 a^{-9} +69 z^5 a^{-11} +32 z^5 a^{-13} +z^5 a^{-15} +3 z^5 a^{-17} -2 z^4 a^{-6} +24 z^4 a^{-8} -3 z^4 a^{-10} -43 z^4 a^{-12} -26 z^4 a^{-14} -12 z^4 a^{-16} -6 z^3 a^{-9} -32 z^3 a^{-11} -27 z^3 a^{-13} -6 z^3 a^{-15} -5 z^3 a^{-17} -13 z^2 a^{-8} +5 z^2 a^{-10} +20 z^2 a^{-12} +7 z^2 a^{-14} +5 z^2 a^{-16} -2 z a^{-9} +5 z a^{-11} +7 z a^{-13} +2 z a^{-15} +2 z a^{-17} +3 a^{-8} - a^{-10} -4 a^{-12} - a^{-14} }[/math] |
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