K13n3500
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Polynomial invariants
| Jones polynomial | Data:K13n3500/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-18 t^2+30 t-35+30 t^{-1} -18 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3500/Conway Polynomial |
| Determinant | 143 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-6} +11 z^4 a^{-8} +6 z^4 a^{-10} -2 z^4 a^{-12} +2 z^2 a^{-6} +11 z^2 a^{-8} +4 z^2 a^{-10} -5 z^2 a^{-12} +3 a^{-8} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +7 z^{10} a^{-12} +3 z^{10} a^{-14} +6 z^9 a^{-9} +10 z^9 a^{-11} +7 z^9 a^{-13} +3 z^9 a^{-15} +6 z^8 a^{-8} -3 z^8 a^{-10} -15 z^8 a^{-12} -5 z^8 a^{-14} +z^8 a^{-16} +3 z^7 a^{-7} -12 z^7 a^{-9} -35 z^7 a^{-11} -27 z^7 a^{-13} -7 z^7 a^{-15} +z^6 a^{-6} -17 z^6 a^{-8} -7 z^6 a^{-10} +13 z^6 a^{-12} +4 z^6 a^{-14} +2 z^6 a^{-16} -7 z^5 a^{-7} +6 z^5 a^{-9} +47 z^5 a^{-11} +43 z^5 a^{-13} +12 z^5 a^{-15} +3 z^5 a^{-17} -3 z^4 a^{-6} +19 z^4 a^{-8} +9 z^4 a^{-10} -2 z^4 a^{-12} +3 z^4 a^{-14} -8 z^4 a^{-16} +3 z^3 a^{-7} -2 z^3 a^{-9} -25 z^3 a^{-11} -25 z^3 a^{-13} -13 z^3 a^{-15} -8 z^3 a^{-17} +2 z^2 a^{-6} -14 z^2 a^{-8} -4 z^2 a^{-10} +5 z^2 a^{-12} -4 z^2 a^{-14} +3 z^2 a^{-16} -z a^{-9} +5 z a^{-11} +5 z a^{-13} +3 z a^{-15} +4 z a^{-17} +3 a^{-8} -2 a^{-12} }[/math] |
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