K13n3259
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Polynomial invariants
| Jones polynomial | Data:K13n3259/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-15 t^2+28 t-33+28 t^{-1} -15 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3259/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -3 z^2 a^{-2} -5 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -z^9 a^{-3} +6 z^9 a^{-5} +7 z^9 a^{-7} -z^8 a^{-2} -11 z^8 a^{-4} -3 z^8 a^{-6} +7 z^8 a^{-8} +3 z^7 a^{-1} +8 z^7 a^{-3} -13 z^7 a^{-5} -14 z^7 a^{-7} +4 z^7 a^{-9} +6 z^6 a^{-2} +21 z^6 a^{-4} -2 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} -z^5 a^{-1} -10 z^5 a^{-3} +7 z^5 a^{-5} +7 z^5 a^{-7} -9 z^5 a^{-9} -21 z^4 a^{-4} -6 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} +5 z^4-z^3 a^{-1} +9 z^3 a^{-3} +2 z^3 a^{-5} -4 z^3 a^{-7} +4 z^3 a^{-9} -8 z^2 a^{-2} +9 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} -8 z^2-z a^{-1} -4 z a^{-3} -2 z a^{-5} +z a^{-7} +3 a^{-2} - a^{-6} +3 }[/math] |
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