K13n3583
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Polynomial invariants
| Jones polynomial | Data:K13n3583/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-15 t+17-15 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3583/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -2 z^6 a^{-4} -z^6+19 z^4 a^{-2} -9 z^4 a^{-4} +z^4 a^{-6} -5 z^4+23 z^2 a^{-2} -12 z^2 a^{-4} +2 z^2 a^{-6} -8 z^2+10 a^{-2} -5 a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +2 z^9 a^{-1} -4 z^9 a^{-3} -2 z^9 a^{-5} +4 z^9 a^{-7} -22 z^8 a^{-2} -48 z^8 a^{-4} -25 z^8 a^{-6} +z^8 a^{-8} -8 z^7 a^{-1} -16 z^7 a^{-3} -28 z^7 a^{-5} -20 z^7 a^{-7} +49 z^6 a^{-2} +83 z^6 a^{-4} +35 z^6 a^{-6} -4 z^6 a^{-8} +5 z^6+3 a z^5+17 z^5 a^{-1} +45 z^5 a^{-3} +58 z^5 a^{-5} +27 z^5 a^{-7} +2 a^2 z^4-61 z^4 a^{-2} -68 z^4 a^{-4} -18 z^4 a^{-6} +3 z^4 a^{-8} -12 z^4+a^3 z^3-3 a z^3-23 z^3 a^{-1} -42 z^3 a^{-3} -32 z^3 a^{-5} -9 z^3 a^{-7} -a^2 z^2+36 z^2 a^{-2} +30 z^2 a^{-4} +6 z^2 a^{-6} +11 z^2-a^3 z+2 a z+10 z a^{-1} +13 z a^{-3} +4 z a^{-5} -2 z a^{-7} -10 a^{-2} -5 a^{-4} -4 }[/math] |
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