K13n415
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Polynomial invariants
| Jones polynomial | Data:K13n415/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n415/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-3 z^4 a^4-4 z^2 a^4-3 a^4-z^6 a^2-2 z^4 a^2+z^2 a^2+3 a^2+z^4+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+6 a^4 z^{10}+3 a^2 z^{10}+3 a^7 z^9+4 a^5 z^9+4 a^3 z^9+3 a z^9+a^8 z^8-11 a^6 z^8-23 a^4 z^8-10 a^2 z^8+z^8-15 a^7 z^7-34 a^5 z^7-32 a^3 z^7-13 a z^7-5 a^8 z^6+6 a^6 z^6+21 a^4 z^6+6 a^2 z^6-4 z^6+24 a^7 z^5+55 a^5 z^5+51 a^3 z^5+20 a z^5+8 a^8 z^4+6 a^6 z^4-8 a^4 z^4+a^2 z^4+7 z^4-15 a^7 z^3-37 a^5 z^3-37 a^3 z^3-14 a z^3+z^3 a^{-1} -4 a^8 z^2-2 a^6 z^2+5 a^4 z^2+a^2 z^2-2 z^2+4 a^7 z+11 a^5 z+11 a^3 z+5 a z+z a^{-1} -a^6-3 a^4-3 a^2 }[/math] |
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