K13n4076
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Polynomial invariants
| Jones polynomial | Data:K13n4076/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-32 t+39-32 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4076/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+4 a^2 z^6-z^6-2 a^4 z^4+5 a^2 z^4-z^4-a^4 z^2+2 a^2 z^2-z^2 a^{-2} +2 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+9 a^4 z^{10}+14 a^2 z^{10}+5 z^{10}+10 a^5 z^9+7 a^3 z^9-a z^9+2 z^9 a^{-1} +5 a^6 z^8-23 a^4 z^8-46 a^2 z^8-18 z^8+a^7 z^7-30 a^5 z^7-47 a^3 z^7-22 a z^7-6 z^7 a^{-1} -13 a^6 z^6+6 a^4 z^6+44 a^2 z^6+z^6 a^{-2} +26 z^6-2 a^7 z^5+20 a^5 z^5+48 a^3 z^5+40 a z^5+14 z^5 a^{-1} +7 a^6 z^4+3 a^4 z^4-11 a^2 z^4+3 z^4 a^{-2} -4 z^4+a^7 z^3-5 a^5 z^3-17 a^3 z^3-17 a z^3-5 z^3 a^{-1} +z^3 a^{-3} -a^6 z^2-a^2 z^2-3 z^2 a^{-2} -5 z^2+2 a^5 z+3 a^3 z+a z-z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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