K13n3953
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Polynomial invariants
| Jones polynomial | Data:K13n3953/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+8 t^2-12 t+15-12 t^{-1} +8 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3953/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-3 a^4 z^4+7 a^2 z^4-z^4 a^{-2} +z^4-2 a^4 z^2+2 a^2 z^2-2 z^2 a^{-2} +2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+6 a^5 z^9+3 a^3 z^9-2 a z^9+z^9 a^{-1} +4 a^6 z^8-12 a^4 z^8-24 a^2 z^8+2 z^8 a^{-2} -6 z^8+a^7 z^7-22 a^5 z^7-27 a^3 z^7-14 a z^7-9 z^7 a^{-1} +z^7 a^{-3} -14 a^6 z^6+2 a^4 z^6+32 a^2 z^6-13 z^6 a^{-2} +3 z^6-3 a^7 z^5+18 a^5 z^5+39 a^3 z^5+39 a z^5+16 z^5 a^{-1} -5 z^5 a^{-3} +11 a^6 z^4+3 a^4 z^4-13 a^2 z^4+18 z^4 a^{-2} +13 z^4+2 a^7 z^3-6 a^5 z^3-24 a^3 z^3-28 a z^3-8 z^3 a^{-1} +4 z^3 a^{-3} -2 a^6 z^2-6 z^2 a^{-2} -8 z^2+2 a^5 z+6 a^3 z+6 a z+2 z a^{-1} +1 }[/math] |
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