K13n3700
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Polynomial invariants
| Jones polynomial | Data:K13n3700/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+24 t-35+24 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3700/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -2 z^4 a^{-4} +3 z^4 a^{-6} -2 z^4 a^{-8} +2 z^2 a^{-2} -2 z^2 a^{-4} +7 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} + a^{-2} -2 a^{-4} +5 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +10 z^{10} a^{-8} +5 z^{10} a^{-10} +4 z^9 a^{-5} +z^9 a^{-7} +z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-4} -21 z^8 a^{-6} -45 z^8 a^{-8} -22 z^8 a^{-10} +z^8 a^{-12} -16 z^7 a^{-5} -32 z^7 a^{-7} -35 z^7 a^{-9} -19 z^7 a^{-11} -z^6 a^{-4} +33 z^6 a^{-6} +66 z^6 a^{-8} +28 z^6 a^{-10} -4 z^6 a^{-12} +z^5 a^{-3} +24 z^5 a^{-5} +57 z^5 a^{-7} +61 z^5 a^{-9} +27 z^5 a^{-11} -z^4 a^{-4} -35 z^4 a^{-6} -53 z^4 a^{-8} -15 z^4 a^{-10} +4 z^4 a^{-12} +z^3 a^{-3} -16 z^3 a^{-5} -42 z^3 a^{-7} -36 z^3 a^{-9} -11 z^3 a^{-11} +2 z^2 a^{-2} +5 z^2 a^{-4} +22 z^2 a^{-6} +25 z^2 a^{-8} +6 z^2 a^{-10} +3 z a^{-5} +10 z a^{-7} +6 z a^{-9} -z a^{-11} - a^{-2} -2 a^{-4} -5 a^{-6} -3 a^{-8} }[/math] |
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