K13n1099
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Polynomial invariants
| Jones polynomial | Data:K13n1099/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-24 t+33-24 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1099/Conway Polynomial |
| Determinant | 101 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -z^6-a^4 z^4+7 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -2 z^4-4 a^4 z^2+11 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -3 z^2-3 a^4+6 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^4 z^{10}+2 a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}+a^5 z^9+a^3 z^9-2 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} -9 a^4 z^8-17 a^2 z^8-6 z^8 a^{-2} +7 z^8 a^{-4} -21 z^8-8 a^5 z^7-14 a^3 z^7-10 a z^7-26 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +24 a^4 z^6+50 a^2 z^6-6 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +40 z^6+20 a^5 z^5+46 a^3 z^5+50 a z^5+45 z^5 a^{-1} +11 z^5 a^{-3} -10 z^5 a^{-5} -26 a^4 z^4-52 a^2 z^4+13 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -27 z^4-20 a^5 z^3-49 a^3 z^3-52 a z^3-30 z^3 a^{-1} -3 z^3 a^{-3} +4 z^3 a^{-5} +13 a^4 z^2+24 a^2 z^2-5 z^2 a^{-2} -3 z^2 a^{-4} +9 z^2+7 a^5 z+16 a^3 z+15 a z+7 z a^{-1} +z a^{-3} -3 a^4-6 a^2-2 }[/math] |
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