K13n3769
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Polynomial invariants
| Jones polynomial | Data:K13n3769/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+19 t-23+19 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3769/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} -z^6+a^2 z^4+3 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -7 z^4+4 a^2 z^2+5 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -13 z^2+4 a^2+4 a^{-2} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}-9 a z^9-9 z^9 a^{-1} +4 z^9 a^{-3} +4 z^9 a^{-5} -9 a^2 z^8-15 z^8 a^{-2} +4 z^8 a^{-4} +7 z^8 a^{-6} -21 z^8+26 a z^7+24 z^7 a^{-1} -13 z^7 a^{-3} -4 z^7 a^{-5} +7 z^7 a^{-7} +28 a^2 z^6+47 z^6 a^{-2} -10 z^6 a^{-4} -12 z^6 a^{-6} +4 z^6 a^{-8} +69 z^6-30 a z^5-16 z^5 a^{-1} +28 z^5 a^{-3} +z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -38 a^2 z^4-52 z^4 a^{-2} +11 z^4 a^{-4} +5 z^4 a^{-6} -6 z^4 a^{-8} -90 z^4+13 a z^3-3 z^3 a^{-1} -22 z^3 a^{-3} -2 z^3 a^{-5} +3 z^3 a^{-7} -z^3 a^{-9} +22 a^2 z^2+23 z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +46 z^2-2 a z+2 z a^{-1} +6 z a^{-3} +2 z a^{-5} -4 a^2-4 a^{-2} -7 }[/math] |
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