K13a4721
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Polynomial invariants
| Jones polynomial | Data:K13a4721/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+24 t^3-54 t^2+88 t-103+88 t^{-1} -54 t^{-2} +24 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a4721/Conway Polynomial |
| Determinant | 451 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -2 z^8 a^{-4} -z^8+14 z^6 a^{-2} -8 z^6 a^{-4} +z^6 a^{-6} -4 z^6+12 z^4 a^{-2} -9 z^4 a^{-4} +2 z^4 a^{-6} -5 z^4-z^2 a^{-2} +2 z^2 a^{-4} -4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 6 z^{12} a^{-2} +6 z^{12} a^{-4} +16 z^{11} a^{-1} +35 z^{11} a^{-3} +19 z^{11} a^{-5} +26 z^{10} a^{-2} +36 z^{10} a^{-4} +28 z^{10} a^{-6} +18 z^{10}+12 a z^9-28 z^9 a^{-1} -75 z^9 a^{-3} -9 z^9 a^{-5} +26 z^9 a^{-7} +5 a^2 z^8-105 z^8 a^{-2} -110 z^8 a^{-4} -41 z^8 a^{-6} +16 z^8 a^{-8} -47 z^8+a^3 z^7-31 a z^7+4 z^7 a^{-1} +48 z^7 a^{-3} -34 z^7 a^{-5} -40 z^7 a^{-7} +6 z^7 a^{-9} -12 a^2 z^6+125 z^6 a^{-2} +97 z^6 a^{-4} +6 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +44 z^6-2 a^3 z^5+24 a z^5+20 z^5 a^{-1} +22 z^5 a^{-5} +11 z^5 a^{-7} -5 z^5 a^{-9} +6 a^2 z^4-53 z^4 a^{-2} -24 z^4 a^{-4} +11 z^4 a^{-6} +5 z^4 a^{-8} -17 z^4-6 a z^3-14 z^3 a^{-1} -7 z^3 a^{-3} +7 z^3 a^{-5} +6 z^3 a^{-7} -3 z^2 a^{-2} -9 z^2 a^{-4} -6 z^2 a^{-6} +z a^{-1} -4 z a^{-5} -3 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math] |
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