K13n277
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Polynomial invariants
| Jones polynomial | Data:K13n277/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-11 t^2+13 t-13+13 t^{-1} -11 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n277/Conway Polynomial |
| Determinant | 79 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -6 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +6 z^4 a^{-4} -13 z^4 a^{-6} -7 z^4 a^{-8} +5 z^4 a^{-10} +11 z^2 a^{-4} -14 z^2 a^{-6} -3 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +6 a^{-4} -7 a^{-6} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-5} -4 z^9 a^{-7} -z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-4} -2 z^8 a^{-6} -18 z^8 a^{-8} -12 z^8 a^{-10} +3 z^8 a^{-12} -4 z^7 a^{-5} +10 z^7 a^{-7} -z^7 a^{-9} -14 z^7 a^{-11} +z^7 a^{-13} -7 z^6 a^{-4} -8 z^6 a^{-6} +32 z^6 a^{-8} +27 z^6 a^{-10} -6 z^6 a^{-12} +z^5 a^{-5} -27 z^5 a^{-7} -6 z^5 a^{-9} +25 z^5 a^{-11} +3 z^5 a^{-13} +17 z^4 a^{-4} +23 z^4 a^{-6} -35 z^4 a^{-8} -37 z^4 a^{-10} +8 z^4 a^{-12} +4 z^4 a^{-14} +9 z^3 a^{-5} +33 z^3 a^{-7} +7 z^3 a^{-9} -21 z^3 a^{-11} -3 z^3 a^{-13} +z^3 a^{-15} -17 z^2 a^{-4} -20 z^2 a^{-6} +16 z^2 a^{-8} +19 z^2 a^{-10} -2 z^2 a^{-12} -2 z^2 a^{-14} -7 z a^{-5} -13 z a^{-7} -3 z a^{-9} +5 z a^{-11} +2 z a^{-13} +6 a^{-4} +7 a^{-6} -3 a^{-10} - a^{-12} }[/math] |
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