K13n3524
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Polynomial invariants
| Jones polynomial | Data:K13n3524/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-10 t^2+13 t-11+13 t^{-1} -10 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3524/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+2 z^6-a^4 z^4+2 a^2 z^4-z^4 a^{-2} +8 z^4-2 a^4 z^2-a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +7 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+10 a^2 z^{10}+7 z^{10}+a^5 z^9-5 a^3 z^9+3 a z^9+9 z^9 a^{-1} -18 a^4 z^8-55 a^2 z^8+4 z^8 a^{-2} -33 z^8-6 a^5 z^7-17 a^3 z^7-62 a z^7-51 z^7 a^{-1} +37 a^4 z^6+90 a^2 z^6-24 z^6 a^{-2} +z^6 a^{-4} +28 z^6+13 a^5 z^5+57 a^3 z^5+123 a z^5+74 z^5 a^{-1} -4 z^5 a^{-3} +z^5 a^{-5} -32 a^4 z^4-53 a^2 z^4+26 z^4 a^{-2} -7 z^4 a^{-4} +12 z^4-12 a^5 z^3-50 a^3 z^3-76 a z^3-34 z^3 a^{-1} -4 z^3 a^{-5} +10 a^4 z^2+9 a^2 z^2-5 z^2 a^{-2} +3 z^2 a^{-4} -9 z^2+4 a^5 z+12 a^3 z+12 a z+4 z a^{-1} +1 }[/math] |
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