K13n3471
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Polynomial invariants
| Jones polynomial | Data:K13n3471/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+37 t-47+37 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3471/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+8 a^4 z^4-11 a^2 z^4+2 z^4-3 a^6 z^2+13 a^4 z^2-10 a^2 z^2+z^2 a^{-2} +2 z^2-3 a^6+6 a^4-3 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+5 a^4 z^{10}+7 a^2 z^{10}+2 z^{10}+9 a^5 z^9+16 a^3 z^9+8 a z^9+z^9 a^{-1} +9 a^6 z^8+6 a^4 z^8+a^2 z^8+4 z^8+6 a^7 z^7-12 a^5 z^7-39 a^3 z^7-16 a z^7+5 z^7 a^{-1} +3 a^8 z^6-15 a^6 z^6-34 a^4 z^6-38 a^2 z^6+3 z^6 a^{-2} -19 z^6+a^9 z^5-8 a^7 z^5+5 a^5 z^5+27 a^3 z^5-5 a z^5-18 z^5 a^{-1} -4 a^8 z^4+16 a^6 z^4+45 a^4 z^4+46 a^2 z^4-6 z^4 a^{-2} +15 z^4-2 a^9 z^3+5 a^7 z^3+6 a^5 z^3-3 a^3 z^3+11 a z^3+13 z^3 a^{-1} +a^8 z^2-9 a^6 z^2-25 a^4 z^2-23 a^2 z^2+2 z^2 a^{-2} -6 z^2+a^9 z-2 a^7 z-4 a^5 z-2 a^3 z-2 a z-z a^{-1} +3 a^6+6 a^4+3 a^2+1 }[/math] |
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