K13n4184
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Polynomial invariants
| Jones polynomial | Data:K13n4184/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-38 t+47-38 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4184/Conway Polynomial |
| Determinant | 177 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-6 a^2 z^4-2 z^4 a^{-2} +11 z^4+a^4 z^2-6 a^2 z^2-z^2 a^{-4} +10 z^2-2 a^2+2 a^{-2} -2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+4 z^{10} a^{-2} +11 z^{10}+11 a^3 z^9+12 a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +10 a^4 z^8-6 a^2 z^8-8 z^8 a^{-2} +z^8 a^{-4} -25 z^8+5 a^5 z^7-22 a^3 z^7-39 a z^7-17 z^7 a^{-1} -5 z^7 a^{-3} +a^6 z^6-21 a^4 z^6-10 a^2 z^6+10 z^6 a^{-2} +2 z^6 a^{-4} +20 z^6-9 a^5 z^5+10 a^3 z^5+38 a z^5+24 z^5 a^{-1} +8 z^5 a^{-3} +3 z^5 a^{-5} -a^6 z^4+8 a^4 z^4+9 a^2 z^4-z^4 a^{-2} -7 z^4 a^{-4} +6 z^4+2 a^5 z^3-4 a^3 z^3-9 a z^3-6 z^3 a^{-1} -11 z^3 a^{-3} -8 z^3 a^{-5} -5 a^2 z^2-z^2 a^{-2} +3 z^2 a^{-4} -9 z^2+a^5 z-2 a z+5 z a^{-3} +4 z a^{-5} +2 a^2-2 a^{-2} -2 a^{-4} +3 }[/math] |
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