K13a122
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Polynomial invariants
| Jones polynomial | Data:K13a122/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-36 t+49-36 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13a122/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+2 a^6-z^6 a^4-3 z^4 a^4-5 z^2 a^4-3 a^4-z^6 a^2-z^4 a^2+a^2-z^6-2 z^4-3 z^2-1+2 z^4 a^{-2} +4 z^2 a^{-2} +3 a^{-2} -z^2 a^{-4} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{12}+a^2 z^{12}+4 a^5 z^{11}+7 a^3 z^{11}+3 a z^{11}+5 a^6 z^{10}+7 a^4 z^{10}+6 a^2 z^{10}+4 z^{10}+3 a^7 z^9-15 a^5 z^9-27 a^3 z^9-5 a z^9+4 z^9 a^{-1} +a^8 z^8-24 a^6 z^8-50 a^4 z^8-36 a^2 z^8+4 z^8 a^{-2} -7 z^8-14 a^7 z^7+12 a^5 z^7+33 a^3 z^7+a z^7-2 z^7 a^{-1} +4 z^7 a^{-3} -5 a^8 z^6+36 a^6 z^6+92 a^4 z^6+64 a^2 z^6+3 z^6 a^{-4} +10 z^6+18 a^7 z^5-3 a^5 z^5-21 a^3 z^5+3 a z^5-2 z^5 a^{-1} -4 z^5 a^{-3} +z^5 a^{-5} +7 a^8 z^4-27 a^6 z^4-77 a^4 z^4-51 a^2 z^4-10 z^4 a^{-2} -6 z^4 a^{-4} -12 z^4-8 a^7 z^3+6 a^5 z^3+14 a^3 z^3-a z^3-z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} -3 a^8 z^2+13 a^6 z^2+30 a^4 z^2+16 a^2 z^2+9 z^2 a^{-2} +4 z^2 a^{-4} +7 z^2+a^7 z-4 a^5 z-7 a^3 z-a z+2 z a^{-1} +2 z a^{-3} +z a^{-5} -2 a^6-3 a^4-a^2-3 a^{-2} - a^{-4} -1 }[/math] |
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