K13n1413
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Polynomial invariants
| Jones polynomial | Data:K13n1413/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-17 t+23-17 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1413/Conway Polynomial |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-7 z^2 a^4-4 a^4+3 z^4 a^2+7 z^2 a^2+4 a^2+z^4+z^2+1-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+6 a^4 z^{10}+3 a^2 z^{10}+3 a^7 z^9+3 a^5 z^9+3 a^3 z^9+3 a z^9+a^8 z^8-13 a^6 z^8-27 a^4 z^8-12 a^2 z^8+z^8-16 a^7 z^7-34 a^5 z^7-31 a^3 z^7-13 a z^7-5 a^8 z^6+12 a^6 z^6+33 a^4 z^6+15 a^2 z^6-z^6+26 a^7 z^5+61 a^5 z^5+54 a^3 z^5+22 a z^5+3 z^5 a^{-1} +7 a^8 z^4+a^6 z^4-17 a^4 z^4-13 a^2 z^4+2 z^4 a^{-2} -16 a^7 z^3-40 a^5 z^3-38 a^3 z^3-18 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -3 a^8 z^2-2 a^6 z^2+9 a^4 z^2+10 a^2 z^2-2 z^2 a^{-2} +3 a^7 z+10 a^5 z+11 a^3 z+5 a z-z a^{-3} -a^6-4 a^4-4 a^2+ a^{-2} +1 }[/math] |
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