K13n2239
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Polynomial invariants
| Jones polynomial | Data:K13n2239/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+2 t^2-t+1- t^{-1} +2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2239/Conway Polynomial |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+16 z^4 a^{-2} -z^4 a^{-6} -5 z^4+14 z^2 a^{-2} +z^2 a^{-4} -3 z^2 a^{-6} -7 z^2+4 a^{-2} + a^{-4} -2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-4 z^9 a^{-1} -3 z^9 a^{-3} +2 z^9 a^{-5} -27 z^8 a^{-2} -11 z^8 a^{-4} +2 z^8 a^{-6} -14 z^8-7 a z^7-5 z^7 a^{-1} -11 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} +56 z^6 a^{-2} +10 z^6 a^{-4} -13 z^6 a^{-6} +z^6 a^{-8} +32 z^6+16 a z^5+31 z^5 a^{-1} +35 z^5 a^{-3} +14 z^5 a^{-5} -5 z^5 a^{-7} +z^5 a^{-9} -47 z^4 a^{-2} +7 z^4 a^{-4} +20 z^4 a^{-6} -4 z^4 a^{-8} -30 z^4-14 a z^3-33 z^3 a^{-1} -26 z^3 a^{-3} +3 z^3 a^{-7} -4 z^3 a^{-9} +18 z^2 a^{-2} -6 z^2 a^{-4} -11 z^2 a^{-6} +z^2 a^{-8} +12 z^2+4 a z+9 z a^{-1} +6 z a^{-3} -2 z a^{-5} -z a^{-7} +2 z a^{-9} -4 a^{-2} + a^{-4} +2 a^{-6} -2 }[/math] |
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