K13n3911
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Polynomial invariants
| Jones polynomial | Data:K13n3911/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+6 t^3+t^2-14 t+21-14 t^{-1} + t^{-2} +6 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3911/Conway Polynomial |
| Determinant | 29 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +23 z^6 a^{-6} -8 z^6 a^{-8} -10 z^4 a^{-4} +33 z^4 a^{-6} -18 z^4 a^{-8} +2 z^4 a^{-10} -5 z^2 a^{-4} +23 z^2 a^{-6} -16 z^2 a^{-8} +3 z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +5 z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-3} -10 z^9 a^{-5} -10 z^9 a^{-7} +5 z^9 a^{-9} +4 z^9 a^{-11} -20 z^8 a^{-4} -52 z^8 a^{-6} -38 z^8 a^{-8} +6 z^8 a^{-12} -6 z^7 a^{-3} +3 z^7 a^{-5} -8 z^7 a^{-7} -33 z^7 a^{-9} -12 z^7 a^{-11} +4 z^7 a^{-13} +42 z^6 a^{-4} +114 z^6 a^{-6} +80 z^6 a^{-8} -12 z^6 a^{-10} -19 z^6 a^{-12} +z^6 a^{-14} +11 z^5 a^{-3} +28 z^5 a^{-5} +62 z^5 a^{-7} +61 z^5 a^{-9} +5 z^5 a^{-11} -11 z^5 a^{-13} -36 z^4 a^{-4} -97 z^4 a^{-6} -62 z^4 a^{-8} +12 z^4 a^{-10} +11 z^4 a^{-12} -2 z^4 a^{-14} -8 z^3 a^{-3} -30 z^3 a^{-5} -56 z^3 a^{-7} -40 z^3 a^{-9} -2 z^3 a^{-11} +4 z^3 a^{-13} +11 z^2 a^{-4} +35 z^2 a^{-6} +25 z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +14 z a^{-7} +10 z a^{-9} +z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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