K13n3096
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Polynomial invariants
| Jones polynomial | Data:K13n3096/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3+t^2-10 t+17-10 t^{-1} + t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3096/Conway Polynomial |
| Determinant | 37 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-a^4 z^4+5 a^2 z^4+z^4 a^{-2} +2 z^4-3 a^4 z^2+4 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +4 z^2-a^4-2 a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10}+a^5 z^9-6 a^3 z^9-6 a z^9+z^9 a^{-1} -15 a^4 z^8-24 a^2 z^8+4 z^8 a^{-2} -5 z^8-7 a^5 z^7+3 a^3 z^7+6 a z^7+z^7 a^{-1} +5 z^7 a^{-3} +34 a^4 z^6+56 a^2 z^6-11 z^6 a^{-2} +3 z^6 a^{-4} +8 z^6+15 a^5 z^5+22 a^3 z^5+13 a z^5-8 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} -29 a^4 z^4-42 a^2 z^4+11 z^4 a^{-2} -6 z^4 a^{-4} +4 z^4-13 a^5 z^3-27 a^3 z^3-14 a z^3+11 z^3 a^{-1} +9 z^3 a^{-3} -2 z^3 a^{-5} +9 a^4 z^2+8 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} -9 z^2+4 a^5 z+7 a^3 z+2 a z-4 z a^{-1} -3 z a^{-3} -a^4+2 a^{-2} +4 }[/math] |
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