K13n2371
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Polynomial invariants
| Jones polynomial | Data:K13n2371/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+12 t^2-13 t+11-13 t^{-1} +12 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2371/Conway Polynomial |
| Determinant | 69 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} -8 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} +z^4-8 z^2 a^{-4} +4 z^2 a^{-8} +3 z^2+2 a^{-2} -4 a^{-4} + a^{-6} +2 a^{-8} - a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -3 z^9 a^{-3} -3 z^9 a^{-5} +2 z^9 a^{-7} -10 z^8 a^{-2} -21 z^8 a^{-4} -8 z^8 a^{-6} +2 z^8 a^{-8} +z^8-11 z^7 a^{-1} +z^7 a^{-3} +6 z^7 a^{-5} -5 z^7 a^{-7} +z^7 a^{-9} +16 z^6 a^{-2} +46 z^6 a^{-4} +18 z^6 a^{-6} -6 z^6 a^{-8} -6 z^6+18 z^5 a^{-1} -z^5 a^{-3} -12 z^5 a^{-5} +6 z^5 a^{-7} -z^5 a^{-9} -12 z^4 a^{-2} -57 z^4 a^{-4} -24 z^4 a^{-6} +13 z^4 a^{-8} +3 z^4 a^{-10} +11 z^4-8 z^3 a^{-1} +3 z^3 a^{-3} +5 z^3 a^{-5} -3 z^3 a^{-7} +4 z^3 a^{-9} +z^3 a^{-11} +7 z^2 a^{-2} +29 z^2 a^{-4} +10 z^2 a^{-6} -9 z^2 a^{-8} -3 z^2 a^{-10} -6 z^2-z a^{-3} +z a^{-7} -z a^{-9} -z a^{-11} -2 a^{-2} -4 a^{-4} - a^{-6} +2 a^{-8} + a^{-10} +1 }[/math] |
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