K13a2726
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Polynomial invariants
| Jones polynomial | Data:K13a2726/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+22 t^2-33 t+39-33 t^{-1} +22 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2726/Conway Polynomial |
| Determinant | 173 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+4 a^2 z^6-z^6 a^{-2} +5 z^6+a^6 z^4-8 a^4 z^4+4 a^2 z^4-4 z^4 a^{-2} +9 z^4+3 a^6 z^2-9 a^4 z^2-4 z^2 a^{-2} +7 z^2+2 a^6-3 a^4+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{12}+a^2 z^{12}+3 a^5 z^{11}+6 a^3 z^{11}+3 a z^{11}+4 a^6 z^{10}+4 a^4 z^{10}+5 a^2 z^{10}+5 z^{10}+3 a^7 z^9-8 a^5 z^9-19 a^3 z^9-a z^9+7 z^9 a^{-1} +a^8 z^8-16 a^6 z^8-24 a^4 z^8-20 a^2 z^8+7 z^8 a^{-2} -6 z^8-14 a^7 z^7+2 a^5 z^7+26 a^3 z^7-11 a z^7-16 z^7 a^{-1} +5 z^7 a^{-3} -5 a^8 z^6+18 a^6 z^6+36 a^4 z^6+25 a^2 z^6-16 z^6 a^{-2} +3 z^6 a^{-4} -7 z^6+20 a^7 z^5-a^5 z^5-29 a^3 z^5+21 a z^5+19 z^5 a^{-1} -9 z^5 a^{-3} +z^5 a^{-5} +8 a^8 z^4-8 a^6 z^4-36 a^4 z^4-18 a^2 z^4+17 z^4 a^{-2} -6 z^4 a^{-4} +25 z^4-9 a^7 z^3+7 a^5 z^3+13 a^3 z^3-16 a z^3-7 z^3 a^{-1} +4 z^3 a^{-3} -2 z^3 a^{-5} -4 a^8 z^2+6 a^6 z^2+20 a^4 z^2+2 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} -15 z^2+a^7 z-2 a^5 z-2 a^3 z+3 a z+2 z a^{-1} -2 a^6-3 a^4+2 }[/math] |
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