K13n1469
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Polynomial invariants
| Jones polynomial | Data:K13n1469/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+12 t-15+12 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1469/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-5 a^2 z^2-z^2 a^{-2} +6 z^2+a^4-3 a^2+ a^{-2} - a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+2 a z^9+z^9 a^{-3} +a^4 z^8-13 a^2 z^8-9 z^8 a^{-2} -23 z^8-16 a^3 z^7-32 a z^7-21 z^7 a^{-1} -5 z^7 a^{-3} -5 a^4 z^6+8 a^2 z^6+7 z^6 a^{-2} +20 z^6+25 a^3 z^5+60 a z^5+42 z^5 a^{-1} +7 z^5 a^{-3} +7 a^4 z^4+13 a^2 z^4+4 z^4 a^{-2} -z^4 a^{-4} +11 z^4-15 a^3 z^3-38 a z^3-30 z^3 a^{-1} -8 z^3 a^{-3} -z^3 a^{-5} -4 a^4 z^2-13 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} -15 z^2+3 a^3 z+8 a z+8 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^4+3 a^2- a^{-2} - a^{-4} +3 }[/math] |
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