K13n2911
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Polynomial invariants
| Jones polynomial | Data:K13n2911/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+6 t^2+2 t-7+2 t^{-1} +6 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2911/Conway Polynomial |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +6 z^6 a^{-4} -z^6 a^{-6} -10 z^4 a^{-2} +11 z^4 a^{-4} -6 z^4 a^{-6} +z^4-12 z^2 a^{-2} +10 z^2 a^{-4} -7 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2-4 a^{-2} +3 a^{-4} -2 a^{-6} + a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} +z^9 a^{-7} -2 z^8 a^{-2} -2 z^8 a^{-4} +3 z^8 a^{-6} +2 z^8 a^{-8} +z^8-11 z^7 a^{-1} -22 z^7 a^{-3} -19 z^7 a^{-5} -6 z^7 a^{-7} +2 z^7 a^{-9} -12 z^6 a^{-2} -15 z^6 a^{-4} -21 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -6 z^6+17 z^5 a^{-1} +30 z^5 a^{-3} +29 z^5 a^{-5} +7 z^5 a^{-7} -9 z^5 a^{-9} +30 z^4 a^{-2} +33 z^4 a^{-4} +33 z^4 a^{-6} +14 z^4 a^{-8} -4 z^4 a^{-10} +12 z^4-8 z^3 a^{-1} -11 z^3 a^{-3} -14 z^3 a^{-5} -4 z^3 a^{-7} +7 z^3 a^{-9} -21 z^2 a^{-2} -18 z^2 a^{-4} -16 z^2 a^{-6} -7 z^2 a^{-8} +2 z^2 a^{-10} -10 z^2+2 z a^{-5} +z a^{-7} -z a^{-9} +4 a^{-2} +3 a^{-4} +2 a^{-6} + a^{-8} +3 }[/math] |
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