K13n363
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Polynomial invariants
| Jones polynomial | Data:K13n363/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+16 t-21+16 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n363/Conway Polynomial |
| Determinant | 67 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-6 z^4 a^4-8 z^2 a^4-3 a^4+z^6 a^2+3 z^4 a^2+4 z^2 a^2+2 a^2+z^6+3 z^4+4 z^2+2-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^6 z^{10}+3 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+2 a^7 z^9+3 a^5 z^9+3 a z^9+4 z^9 a^{-1} +a^8 z^8-7 a^6 z^8-20 a^4 z^8-22 a^2 z^8+3 z^8 a^{-2} -7 z^8-14 a^7 z^7-26 a^5 z^7-23 a^3 z^7-26 a z^7-14 z^7 a^{-1} +z^7 a^{-3} -6 a^8 z^6+9 a^6 z^6+39 a^4 z^6+29 a^2 z^6-12 z^6 a^{-2} -7 z^6+27 a^7 z^5+60 a^5 z^5+58 a^3 z^5+39 a z^5+10 z^5 a^{-1} -4 z^5 a^{-3} +9 a^8 z^4+a^6 z^4-26 a^4 z^4-15 a^2 z^4+13 z^4 a^{-2} +16 z^4-19 a^7 z^3-46 a^5 z^3-47 a^3 z^3-26 a z^3-2 z^3 a^{-1} +4 z^3 a^{-3} -4 a^8 z^2-a^6 z^2+11 a^4 z^2+4 a^2 z^2-6 z^2 a^{-2} -10 z^2+4 a^7 z+12 a^5 z+13 a^3 z+6 a z-z a^{-3} -a^6-3 a^4-2 a^2+ a^{-2} +2 }[/math] |
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