K13n2304
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Polynomial invariants
| Jones polynomial | Data:K13n2304/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-3 t+5-3 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n2304/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6+a^2 z^4+6 z^4 a^{-2} -z^4 a^{-4} -5 z^4+2 a^2 z^2+10 z^2 a^{-2} -3 z^2 a^{-4} -8 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} -24 z^8 a^{-2} -15 z^8 a^{-4} -9 z^8+12 z^7 a^{-1} +5 z^7 a^{-3} -7 z^7 a^{-5} +3 a^2 z^6+60 z^6 a^{-2} +35 z^6 a^{-4} +28 z^6+3 a^3 z^5+5 a z^5+2 z^5 a^{-1} +15 z^5 a^{-3} +15 z^5 a^{-5} +a^4 z^4-6 a^2 z^4-58 z^4 a^{-2} -31 z^4 a^{-4} -34 z^4-5 a^3 z^3-9 a z^3-12 z^3 a^{-1} -20 z^3 a^{-3} -12 z^3 a^{-5} -a^4 z^2+3 a^2 z^2+25 z^2 a^{-2} +11 z^2 a^{-4} +18 z^2+a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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