K13n2275
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Polynomial invariants
| Jones polynomial | Data:K13n2275/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-28 t+37-28 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2275/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} +z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-2 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} -2 a^2 z^8-6 z^8 a^{-2} +7 z^8 a^{-4} -15 z^8+5 a^3 z^7+10 a z^7-17 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +3 a^4 z^6+13 a^2 z^6-z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +29 z^6+a^5 z^5-8 a^3 z^5-11 a z^5+20 z^5 a^{-1} +12 z^5 a^{-3} -10 z^5 a^{-5} -6 a^4 z^4-20 a^2 z^4+5 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -23 z^4-2 a^5 z^3+3 a^3 z^3+5 a z^3-5 z^3 a^{-1} -z^3 a^{-3} +4 z^3 a^{-5} +4 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +5 z^2+a^5 z-2 a z-2 z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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