K13n3563
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Polynomial invariants
| Jones polynomial | Data:K13n3563/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+17 t^2-30 t+37-30 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3563/Conway Polynomial |
| Determinant | 145 |
| 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-z^4-2 a^2 z^2-z^2 a^{-2} +3 z^2+a^4-3 a^2- a^{-2} +4 }[/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+6 a^3 z^9-2 a z^9+2 z^9 a^{-1} +5 a^6 z^8-26 a^4 z^8-50 a^2 z^8-19 z^8+a^7 z^7-33 a^5 z^7-49 a^3 z^7-21 a z^7-6 z^7 a^{-1} -14 a^6 z^6+12 a^4 z^6+52 a^2 z^6+z^6 a^{-2} +27 z^6-2 a^7 z^5+26 a^5 z^5+55 a^3 z^5+39 a z^5+12 z^5 a^{-1} +7 a^6 z^4+2 a^4 z^4-11 a^2 z^4+3 z^4 a^{-2} -3 z^4-6 a^5 z^3-15 a^3 z^3-13 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -2 a^4 z^2-7 a^2 z^2-4 z^2 a^{-2} -9 z^2-a^5 z-2 a^3 z-2 a z-2 z a^{-1} -z a^{-3} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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