K13n2840
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Polynomial invariants
| Jones polynomial | Data:K13n2840/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2840/Conway Polynomial |
| Determinant | 157 |
| 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+4 a^2 z^4-3 a^2 z^2-2 z^2 a^{-2} +6 z^2+a^4-4 a^2-2 a^{-2} +6 }[/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^8-25 a^4 z^8-45 a^2 z^8-15 z^8+a^7 z^7-33 a^5 z^7-48 a^3 z^7-15 a z^7-z^7 a^{-1} -14 a^6 z^6+11 a^4 z^6+44 a^2 z^6+3 z^6 a^{-2} +22 z^6-2 a^7 z^5+27 a^5 z^5+50 a^3 z^5+24 a z^5+3 z^5 a^{-1} +7 a^6 z^4+3 a^4 z^4-11 a^2 z^4+4 z^4 a^{-2} -3 z^4-5 a^5 z^3-11 a^3 z^3-7 a z^3+3 z^3 a^{-1} +4 z^3 a^{-3} -a^4 z^2-7 a^2 z^2-6 z^2 a^{-2} -12 z^2-a^5 z-3 a^3 z-4 a z-4 z a^{-1} -2 z a^{-3} +a^4+4 a^2+2 a^{-2} +6 }[/math] |
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