K13a3016
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Polynomial invariants
| Jones polynomial | Data:K13a3016/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-18 t^2+26 t-29+26 t^{-1} -18 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3016/Conway Polynomial |
| Determinant | 139 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8-z^8+2 a^4 z^6-5 a^2 z^6+z^6 a^{-2} -5 z^6-a^6 z^4+10 a^4 z^4-9 a^2 z^4+4 z^4 a^{-2} -8 z^4-4 a^6 z^2+16 a^4 z^2-8 a^2 z^2+4 z^2 a^{-2} -5 z^2-4 a^6+8 a^4-3 a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{12}+z^{12}+2 a^3 z^{11}+5 a z^{11}+3 z^{11} a^{-1} +3 a^4 z^{10}+4 z^{10} a^{-2} +z^{10}+4 a^5 z^9-2 a^3 z^9-21 a z^9-12 z^9 a^{-1} +3 z^9 a^{-3} +4 a^6 z^8-3 a^4 z^8-2 a^2 z^8-19 z^8 a^{-2} +z^8 a^{-4} -15 z^8+3 a^7 z^7-8 a^5 z^7-a^3 z^7+41 a z^7+16 z^7 a^{-1} -15 z^7 a^{-3} +2 a^8 z^6-9 a^6 z^6-9 a^4 z^6-4 a^2 z^6+28 z^6 a^{-2} -5 z^6 a^{-4} +27 z^6+a^9 z^5-5 a^7 z^5+6 a^5 z^5-3 a^3 z^5-51 a z^5-14 z^5 a^{-1} +22 z^5 a^{-3} -4 a^8 z^4+13 a^6 z^4+29 a^4 z^4+8 a^2 z^4-16 z^4 a^{-2} +7 z^4 a^{-4} -27 z^4-3 a^9 z^3+2 a^7 z^3+7 a^5 z^3+13 a^3 z^3+27 a z^3+7 z^3 a^{-1} -9 z^3 a^{-3} +a^8 z^2-11 a^6 z^2-23 a^4 z^2-8 a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} +10 z^2+2 a^9 z-a^7 z-6 a^5 z-7 a^3 z-6 a z-z a^{-1} +z a^{-3} +4 a^6+8 a^4+3 a^2- a^{-2} -1 }[/math] |
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